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(0) Obligation:
Runtime Complexity TRS:
The TRS R consists of the following rules:
active(dbl(0)) → mark(0)
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active(dbl(s(X))) → mark(s(s(dbl(X))))
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active(dbls(nil)) → mark(nil)
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active(dbls(cons(X, Y))) → mark(cons(dbl(X), dbls(Y)))
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active(sel(0, cons(X, Y))) → mark(X)
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active(sel(s(X), cons(Y, Z))) → mark(sel(X, Z))
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active(indx(nil, X)) → mark(nil)
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active(indx(cons(X, Y), Z)) → mark(cons(sel(X, Z), indx(Y, Z)))
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active(from(X)) → mark(cons(X, from(s(X))))
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active(dbl1(0)) → mark(01)
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active(dbl1(s(X))) → mark(s1(s1(dbl1(X))))
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active(sel1(0, cons(X, Y))) → mark(X)
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active(sel1(s(X), cons(Y, Z))) → mark(sel1(X, Z))
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active(quote(0)) → mark(01)
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active(quote(s(X))) → mark(s1(quote(X)))
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active(quote(dbl(X))) → mark(dbl1(X))
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active(quote(sel(X, Y))) → mark(sel1(X, Y))
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active(dbl(X)) → dbl(active(X))
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active(dbls(X)) → dbls(active(X))
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active(sel(X1, X2)) → sel(active(X1), X2)
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active(sel(X1, X2)) → sel(X1, active(X2))
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active(indx(X1, X2)) → indx(active(X1), X2)
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active(dbl1(X)) → dbl1(active(X))
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active(s1(X)) → s1(active(X))
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active(sel1(X1, X2)) → sel1(active(X1), X2)
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active(sel1(X1, X2)) → sel1(X1, active(X2))
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active(quote(X)) → quote(active(X))
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dbl(mark(X)) → mark(dbl(X))
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dbls(mark(X)) → mark(dbls(X))
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sel(mark(X1), X2) → mark(sel(X1, X2))
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sel(X1, mark(X2)) → mark(sel(X1, X2))
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indx(mark(X1), X2) → mark(indx(X1, X2))
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dbl1(mark(X)) → mark(dbl1(X))
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s1(mark(X)) → mark(s1(X))
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sel1(mark(X1), X2) → mark(sel1(X1, X2))
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sel1(X1, mark(X2)) → mark(sel1(X1, X2))
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quote(mark(X)) → mark(quote(X))
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proper(dbl(X)) → dbl(proper(X))
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proper(0) → ok(0)
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proper(s(X)) → s(proper(X))
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proper(dbls(X)) → dbls(proper(X))
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proper(nil) → ok(nil)
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proper(cons(X1, X2)) → cons(proper(X1), proper(X2))
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proper(sel(X1, X2)) → sel(proper(X1), proper(X2))
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proper(indx(X1, X2)) → indx(proper(X1), proper(X2))
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proper(from(X)) → from(proper(X))
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proper(dbl1(X)) → dbl1(proper(X))
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proper(01) → ok(01)
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proper(s1(X)) → s1(proper(X))
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proper(sel1(X1, X2)) → sel1(proper(X1), proper(X2))
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proper(quote(X)) → quote(proper(X))
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dbl(ok(X)) → ok(dbl(X))
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s(ok(X)) → ok(s(X))
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dbls(ok(X)) → ok(dbls(X))
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cons(ok(X1), ok(X2)) → ok(cons(X1, X2))
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sel(ok(X1), ok(X2)) → ok(sel(X1, X2))
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indx(ok(X1), ok(X2)) → ok(indx(X1, X2))
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from(ok(X)) → ok(from(X))
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dbl1(ok(X)) → ok(dbl1(X))
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s1(ok(X)) → ok(s1(X))
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sel1(ok(X1), ok(X2)) → ok(sel1(X1, X2))
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quote(ok(X)) → ok(quote(X))
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top(mark(X)) → top(proper(X))
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top(ok(X)) → top(active(X))
Rewrite Strategy: INNERMOST
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(1) CpxTrsToCdtProof (BOTH BOUNDS(ID, ID) transformation)
Converted CpxTRS to CDT
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(2) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
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active(dbl(s(z0))) → mark(s(s(dbl(z0))))
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active(dbls(nil)) → mark(nil)
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active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
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active(sel(0, cons(z0, z1))) → mark(z0)
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active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
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active(indx(nil, z0)) → mark(nil)
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active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
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active(from(z0)) → mark(cons(z0, from(s(z0))))
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active(dbl1(0)) → mark(01)
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active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
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active(sel1(0, cons(z0, z1))) → mark(z0)
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active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
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active(quote(0)) → mark(01)
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active(quote(s(z0))) → mark(s1(quote(z0)))
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active(quote(dbl(z0))) → mark(dbl1(z0))
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active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
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active(dbl(z0)) → dbl(active(z0))
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active(dbls(z0)) → dbls(active(z0))
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active(sel(z0, z1)) → sel(active(z0), z1)
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active(sel(z0, z1)) → sel(z0, active(z1))
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active(indx(z0, z1)) → indx(active(z0), z1)
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active(dbl1(z0)) → dbl1(active(z0))
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active(s1(z0)) → s1(active(z0))
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active(sel1(z0, z1)) → sel1(active(z0), z1)
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active(sel1(z0, z1)) → sel1(z0, active(z1))
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active(quote(z0)) → quote(active(z0))
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dbl(mark(z0)) → mark(dbl(z0))
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dbl(ok(z0)) → ok(dbl(z0))
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dbls(mark(z0)) → mark(dbls(z0))
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dbls(ok(z0)) → ok(dbls(z0))
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sel(mark(z0), z1) → mark(sel(z0, z1))
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sel(z0, mark(z1)) → mark(sel(z0, z1))
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sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
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indx(mark(z0), z1) → mark(indx(z0, z1))
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indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
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dbl1(mark(z0)) → mark(dbl1(z0))
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dbl1(ok(z0)) → ok(dbl1(z0))
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s1(mark(z0)) → mark(s1(z0))
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s1(ok(z0)) → ok(s1(z0))
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sel1(mark(z0), z1) → mark(sel1(z0, z1))
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sel1(z0, mark(z1)) → mark(sel1(z0, z1))
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sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
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quote(mark(z0)) → mark(quote(z0))
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quote(ok(z0)) → ok(quote(z0))
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proper(dbl(z0)) → dbl(proper(z0))
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proper(0) → ok(0)
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proper(s(z0)) → s(proper(z0))
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proper(dbls(z0)) → dbls(proper(z0))
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proper(nil) → ok(nil)
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proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
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proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
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proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
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proper(from(z0)) → from(proper(z0))
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proper(dbl1(z0)) → dbl1(proper(z0))
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proper(01) → ok(01)
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proper(s1(z0)) → s1(proper(z0))
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proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
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proper(quote(z0)) → quote(proper(z0))
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s(ok(z0)) → ok(s(z0))
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cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
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from(ok(z0)) → ok(from(z0))
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top(mark(z0)) → top(proper(z0))
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top(ok(z0)) → top(active(z0))
Tuples:
ACTIVE(dbl(s(z0))) → c1(S(s(dbl(z0))), S(dbl(z0)), DBL(z0))
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ACTIVE(dbls(cons(z0, z1))) → c3(CONS(dbl(z0), dbls(z1)), DBL(z0), DBLS(z1))
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ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
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ACTIVE(indx(cons(z0, z1), z2)) → c7(CONS(sel(z0, z2), indx(z1, z2)), SEL(z0, z2), INDX(z1, z2))
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ACTIVE(from(z0)) → c8(CONS(z0, from(s(z0))), FROM(s(z0)), S(z0))
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ACTIVE(dbl1(s(z0))) → c10(S1(s1(dbl1(z0))), S1(dbl1(z0)), DBL1(z0))
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ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
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ACTIVE(quote(s(z0))) → c14(S1(quote(z0)), QUOTE(z0))
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ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
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ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
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ACTIVE(dbl(z0)) → c17(DBL(active(z0)), ACTIVE(z0))
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ACTIVE(dbls(z0)) → c18(DBLS(active(z0)), ACTIVE(z0))
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ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
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ACTIVE(indx(z0, z1)) → c21(INDX(active(z0), z1), ACTIVE(z0))
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ACTIVE(dbl1(z0)) → c22(DBL1(active(z0)), ACTIVE(z0))
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ACTIVE(s1(z0)) → c23(S1(active(z0)), ACTIVE(z0))
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ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
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ACTIVE(quote(z0)) → c26(QUOTE(active(z0)), ACTIVE(z0))
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DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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PROPER(dbl(z0)) → c45(DBL(proper(z0)), PROPER(z0))
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PROPER(s(z0)) → c47(S(proper(z0)), PROPER(z0))
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PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
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PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
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PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
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PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
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PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
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TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
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TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
S tuples:
ACTIVE(dbl(s(z0))) → c1(S(s(dbl(z0))), S(dbl(z0)), DBL(z0))
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ACTIVE(dbls(cons(z0, z1))) → c3(CONS(dbl(z0), dbls(z1)), DBL(z0), DBLS(z1))
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ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
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ACTIVE(indx(cons(z0, z1), z2)) → c7(CONS(sel(z0, z2), indx(z1, z2)), SEL(z0, z2), INDX(z1, z2))
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ACTIVE(from(z0)) → c8(CONS(z0, from(s(z0))), FROM(s(z0)), S(z0))
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ACTIVE(dbl1(s(z0))) → c10(S1(s1(dbl1(z0))), S1(dbl1(z0)), DBL1(z0))
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ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
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ACTIVE(quote(s(z0))) → c14(S1(quote(z0)), QUOTE(z0))
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ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
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ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
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ACTIVE(dbl(z0)) → c17(DBL(active(z0)), ACTIVE(z0))
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ACTIVE(dbls(z0)) → c18(DBLS(active(z0)), ACTIVE(z0))
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ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
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ACTIVE(indx(z0, z1)) → c21(INDX(active(z0), z1), ACTIVE(z0))
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ACTIVE(dbl1(z0)) → c22(DBL1(active(z0)), ACTIVE(z0))
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ACTIVE(s1(z0)) → c23(S1(active(z0)), ACTIVE(z0))
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ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
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ACTIVE(quote(z0)) → c26(QUOTE(active(z0)), ACTIVE(z0))
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DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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PROPER(dbl(z0)) → c45(DBL(proper(z0)), PROPER(z0))
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PROPER(s(z0)) → c47(S(proper(z0)), PROPER(z0))
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PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
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PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
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PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
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PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
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PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
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TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
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TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
ACTIVE, DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, PROPER, S, CONS, FROM, TOP
Compound Symbols:
c1, c3, c5, c7, c8, c10, c12, c14, c15, c16, c17, c18, c19, c20, c21, c22, c23, c24, c25, c26, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c45, c47, c48, c50, c51, c52, c53, c54, c56, c57, c58, c59, c60, c61, c62, c63
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(3) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID) transformation)
Removed 2 trailing tuple parts
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(4) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
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active(dbl(s(z0))) → mark(s(s(dbl(z0))))
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active(dbls(nil)) → mark(nil)
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active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
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active(sel(0, cons(z0, z1))) → mark(z0)
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active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
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active(indx(nil, z0)) → mark(nil)
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active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
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active(from(z0)) → mark(cons(z0, from(s(z0))))
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active(dbl1(0)) → mark(01)
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active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
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active(sel1(0, cons(z0, z1))) → mark(z0)
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active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
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active(quote(0)) → mark(01)
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active(quote(s(z0))) → mark(s1(quote(z0)))
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active(quote(dbl(z0))) → mark(dbl1(z0))
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active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
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active(dbl(z0)) → dbl(active(z0))
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active(dbls(z0)) → dbls(active(z0))
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active(sel(z0, z1)) → sel(active(z0), z1)
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active(sel(z0, z1)) → sel(z0, active(z1))
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active(indx(z0, z1)) → indx(active(z0), z1)
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active(dbl1(z0)) → dbl1(active(z0))
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active(s1(z0)) → s1(active(z0))
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active(sel1(z0, z1)) → sel1(active(z0), z1)
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active(sel1(z0, z1)) → sel1(z0, active(z1))
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active(quote(z0)) → quote(active(z0))
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dbl(mark(z0)) → mark(dbl(z0))
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dbl(ok(z0)) → ok(dbl(z0))
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dbls(mark(z0)) → mark(dbls(z0))
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dbls(ok(z0)) → ok(dbls(z0))
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sel(mark(z0), z1) → mark(sel(z0, z1))
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sel(z0, mark(z1)) → mark(sel(z0, z1))
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sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
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indx(mark(z0), z1) → mark(indx(z0, z1))
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indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
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dbl1(mark(z0)) → mark(dbl1(z0))
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dbl1(ok(z0)) → ok(dbl1(z0))
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s1(mark(z0)) → mark(s1(z0))
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s1(ok(z0)) → ok(s1(z0))
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sel1(mark(z0), z1) → mark(sel1(z0, z1))
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sel1(z0, mark(z1)) → mark(sel1(z0, z1))
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sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
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quote(mark(z0)) → mark(quote(z0))
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quote(ok(z0)) → ok(quote(z0))
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proper(dbl(z0)) → dbl(proper(z0))
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proper(0) → ok(0)
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proper(s(z0)) → s(proper(z0))
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proper(dbls(z0)) → dbls(proper(z0))
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proper(nil) → ok(nil)
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proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
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proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
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proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
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proper(from(z0)) → from(proper(z0))
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proper(dbl1(z0)) → dbl1(proper(z0))
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proper(01) → ok(01)
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proper(s1(z0)) → s1(proper(z0))
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proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
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proper(quote(z0)) → quote(proper(z0))
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s(ok(z0)) → ok(s(z0))
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cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
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from(ok(z0)) → ok(from(z0))
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top(mark(z0)) → top(proper(z0))
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top(ok(z0)) → top(active(z0))
Tuples:
ACTIVE(dbl(s(z0))) → c1(S(s(dbl(z0))), S(dbl(z0)), DBL(z0))
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ACTIVE(dbls(cons(z0, z1))) → c3(CONS(dbl(z0), dbls(z1)), DBL(z0), DBLS(z1))
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ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
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ACTIVE(indx(cons(z0, z1), z2)) → c7(CONS(sel(z0, z2), indx(z1, z2)), SEL(z0, z2), INDX(z1, z2))
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ACTIVE(dbl1(s(z0))) → c10(S1(s1(dbl1(z0))), S1(dbl1(z0)), DBL1(z0))
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ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
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ACTIVE(quote(s(z0))) → c14(S1(quote(z0)), QUOTE(z0))
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ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
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ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
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ACTIVE(dbl(z0)) → c17(DBL(active(z0)), ACTIVE(z0))
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ACTIVE(dbls(z0)) → c18(DBLS(active(z0)), ACTIVE(z0))
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ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
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ACTIVE(indx(z0, z1)) → c21(INDX(active(z0), z1), ACTIVE(z0))
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ACTIVE(dbl1(z0)) → c22(DBL1(active(z0)), ACTIVE(z0))
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ACTIVE(s1(z0)) → c23(S1(active(z0)), ACTIVE(z0))
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ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
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ACTIVE(quote(z0)) → c26(QUOTE(active(z0)), ACTIVE(z0))
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DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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PROPER(dbl(z0)) → c45(DBL(proper(z0)), PROPER(z0))
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PROPER(s(z0)) → c47(S(proper(z0)), PROPER(z0))
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PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
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PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
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PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
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PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
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PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
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TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
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TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
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ACTIVE(from(z0)) → c8(S(z0))
S tuples:
ACTIVE(dbl(s(z0))) → c1(S(s(dbl(z0))), S(dbl(z0)), DBL(z0))
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ACTIVE(dbls(cons(z0, z1))) → c3(CONS(dbl(z0), dbls(z1)), DBL(z0), DBLS(z1))
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ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
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ACTIVE(indx(cons(z0, z1), z2)) → c7(CONS(sel(z0, z2), indx(z1, z2)), SEL(z0, z2), INDX(z1, z2))
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ACTIVE(dbl1(s(z0))) → c10(S1(s1(dbl1(z0))), S1(dbl1(z0)), DBL1(z0))
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ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
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ACTIVE(quote(s(z0))) → c14(S1(quote(z0)), QUOTE(z0))
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ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
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ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
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ACTIVE(dbl(z0)) → c17(DBL(active(z0)), ACTIVE(z0))
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ACTIVE(dbls(z0)) → c18(DBLS(active(z0)), ACTIVE(z0))
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ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
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ACTIVE(indx(z0, z1)) → c21(INDX(active(z0), z1), ACTIVE(z0))
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ACTIVE(dbl1(z0)) → c22(DBL1(active(z0)), ACTIVE(z0))
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ACTIVE(s1(z0)) → c23(S1(active(z0)), ACTIVE(z0))
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ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
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ACTIVE(quote(z0)) → c26(QUOTE(active(z0)), ACTIVE(z0))
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DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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PROPER(dbl(z0)) → c45(DBL(proper(z0)), PROPER(z0))
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PROPER(s(z0)) → c47(S(proper(z0)), PROPER(z0))
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PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
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PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
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PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
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PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
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PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
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TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
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TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
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ACTIVE(from(z0)) → c8(S(z0))
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
ACTIVE, DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, PROPER, S, CONS, FROM, TOP
Compound Symbols:
c1, c3, c5, c7, c10, c12, c14, c15, c16, c17, c18, c19, c20, c21, c22, c23, c24, c25, c26, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c45, c47, c48, c50, c51, c52, c53, c54, c56, c57, c58, c59, c60, c61, c62, c63, c8
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(5) CdtGraphSplitRhsProof (BOTH BOUNDS(ID, ID) transformation)
Split RHS of tuples not part of any SCC
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(6) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
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active(dbl(s(z0))) → mark(s(s(dbl(z0))))
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active(dbls(nil)) → mark(nil)
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active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
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active(sel(0, cons(z0, z1))) → mark(z0)
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active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
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active(indx(nil, z0)) → mark(nil)
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active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
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active(from(z0)) → mark(cons(z0, from(s(z0))))
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active(dbl1(0)) → mark(01)
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active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
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active(sel1(0, cons(z0, z1))) → mark(z0)
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active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
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active(quote(0)) → mark(01)
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active(quote(s(z0))) → mark(s1(quote(z0)))
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active(quote(dbl(z0))) → mark(dbl1(z0))
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active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
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active(dbl(z0)) → dbl(active(z0))
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active(dbls(z0)) → dbls(active(z0))
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active(sel(z0, z1)) → sel(active(z0), z1)
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active(sel(z0, z1)) → sel(z0, active(z1))
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active(indx(z0, z1)) → indx(active(z0), z1)
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active(dbl1(z0)) → dbl1(active(z0))
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active(s1(z0)) → s1(active(z0))
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active(sel1(z0, z1)) → sel1(active(z0), z1)
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active(sel1(z0, z1)) → sel1(z0, active(z1))
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active(quote(z0)) → quote(active(z0))
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dbl(mark(z0)) → mark(dbl(z0))
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dbl(ok(z0)) → ok(dbl(z0))
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dbls(mark(z0)) → mark(dbls(z0))
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dbls(ok(z0)) → ok(dbls(z0))
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sel(mark(z0), z1) → mark(sel(z0, z1))
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sel(z0, mark(z1)) → mark(sel(z0, z1))
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sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
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indx(mark(z0), z1) → mark(indx(z0, z1))
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indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
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dbl1(mark(z0)) → mark(dbl1(z0))
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dbl1(ok(z0)) → ok(dbl1(z0))
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s1(mark(z0)) → mark(s1(z0))
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s1(ok(z0)) → ok(s1(z0))
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sel1(mark(z0), z1) → mark(sel1(z0, z1))
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sel1(z0, mark(z1)) → mark(sel1(z0, z1))
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sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
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quote(mark(z0)) → mark(quote(z0))
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quote(ok(z0)) → ok(quote(z0))
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proper(dbl(z0)) → dbl(proper(z0))
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proper(0) → ok(0)
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proper(s(z0)) → s(proper(z0))
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proper(dbls(z0)) → dbls(proper(z0))
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proper(nil) → ok(nil)
417.06/126.57
proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
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proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
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proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
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proper(from(z0)) → from(proper(z0))
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proper(dbl1(z0)) → dbl1(proper(z0))
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proper(01) → ok(01)
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proper(s1(z0)) → s1(proper(z0))
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proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
417.06/126.57
proper(quote(z0)) → quote(proper(z0))
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s(ok(z0)) → ok(s(z0))
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cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
417.06/126.57
from(ok(z0)) → ok(from(z0))
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top(mark(z0)) → top(proper(z0))
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top(ok(z0)) → top(active(z0))
Tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
417.06/126.57
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
417.06/126.57
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
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ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
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ACTIVE(dbl(z0)) → c17(DBL(active(z0)), ACTIVE(z0))
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ACTIVE(dbls(z0)) → c18(DBLS(active(z0)), ACTIVE(z0))
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ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
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ACTIVE(indx(z0, z1)) → c21(INDX(active(z0), z1), ACTIVE(z0))
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ACTIVE(dbl1(z0)) → c22(DBL1(active(z0)), ACTIVE(z0))
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ACTIVE(s1(z0)) → c23(S1(active(z0)), ACTIVE(z0))
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ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
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ACTIVE(quote(z0)) → c26(QUOTE(active(z0)), ACTIVE(z0))
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DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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PROPER(dbl(z0)) → c45(DBL(proper(z0)), PROPER(z0))
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PROPER(s(z0)) → c47(S(proper(z0)), PROPER(z0))
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PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
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PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
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PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
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PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
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PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
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TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
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TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
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ACTIVE(from(z0)) → c8(S(z0))
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ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
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ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
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ACTIVE(dbl(s(z0))) → c(DBL(z0))
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ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
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ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
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ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
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ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
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ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
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ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
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ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
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ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
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ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
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ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
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ACTIVE(quote(s(z0))) → c(QUOTE(z0))
S tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
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ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
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ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
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ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
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ACTIVE(dbl(z0)) → c17(DBL(active(z0)), ACTIVE(z0))
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ACTIVE(dbls(z0)) → c18(DBLS(active(z0)), ACTIVE(z0))
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ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
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ACTIVE(indx(z0, z1)) → c21(INDX(active(z0), z1), ACTIVE(z0))
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ACTIVE(dbl1(z0)) → c22(DBL1(active(z0)), ACTIVE(z0))
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ACTIVE(s1(z0)) → c23(S1(active(z0)), ACTIVE(z0))
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ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
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ACTIVE(quote(z0)) → c26(QUOTE(active(z0)), ACTIVE(z0))
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DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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PROPER(dbl(z0)) → c45(DBL(proper(z0)), PROPER(z0))
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PROPER(s(z0)) → c47(S(proper(z0)), PROPER(z0))
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PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
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PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
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PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
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PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
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PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
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TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
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TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
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ACTIVE(from(z0)) → c8(S(z0))
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ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
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ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
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ACTIVE(dbl(s(z0))) → c(DBL(z0))
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ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
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ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
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ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
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ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
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ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
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ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
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ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
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ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
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ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
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ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
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ACTIVE(quote(s(z0))) → c(QUOTE(z0))
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
ACTIVE, DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, PROPER, S, CONS, FROM, TOP
Compound Symbols:
c5, c12, c15, c16, c17, c18, c19, c20, c21, c22, c23, c24, c25, c26, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c45, c47, c48, c50, c51, c52, c53, c54, c56, c57, c58, c59, c60, c61, c62, c63, c8, c
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(7) CdtNarrowingProof (BOTH BOUNDS(ID, ID) transformation)
Use narrowing to replace
ACTIVE(
dbl(
z0)) →
c17(
DBL(
active(
z0)),
ACTIVE(
z0)) by
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)), ACTIVE(dbl(0)))
417.06/126.57
ACTIVE(dbl(dbl(s(z0)))) → c17(DBL(mark(s(s(dbl(z0))))), ACTIVE(dbl(s(z0))))
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ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)), ACTIVE(dbls(nil)))
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ACTIVE(dbl(dbls(cons(z0, z1)))) → c17(DBL(mark(cons(dbl(z0), dbls(z1)))), ACTIVE(dbls(cons(z0, z1))))
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ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
417.06/126.57
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
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ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)), ACTIVE(indx(nil, z0)))
417.06/126.57
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c17(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))), ACTIVE(indx(cons(z0, z1), z2)))
417.06/126.57
ACTIVE(dbl(from(z0))) → c17(DBL(mark(cons(z0, from(s(z0))))), ACTIVE(from(z0)))
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ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)), ACTIVE(dbl1(0)))
417.06/126.57
ACTIVE(dbl(dbl1(s(z0)))) → c17(DBL(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
417.06/126.57
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
417.06/126.57
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
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ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)), ACTIVE(quote(0)))
417.06/126.57
ACTIVE(dbl(quote(s(z0)))) → c17(DBL(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
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ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
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ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
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ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
417.06/126.57
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
417.06/126.57
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
417.06/126.57
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
417.06/126.57
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
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ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
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ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
417.06/126.57
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
417.06/126.57
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
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(8) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
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active(dbl(s(z0))) → mark(s(s(dbl(z0))))
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active(dbls(nil)) → mark(nil)
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active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
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active(sel(0, cons(z0, z1))) → mark(z0)
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active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
417.06/126.57
active(indx(nil, z0)) → mark(nil)
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active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
417.06/126.57
active(from(z0)) → mark(cons(z0, from(s(z0))))
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active(dbl1(0)) → mark(01)
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active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
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active(sel1(0, cons(z0, z1))) → mark(z0)
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active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
417.06/126.57
active(quote(0)) → mark(01)
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active(quote(s(z0))) → mark(s1(quote(z0)))
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active(quote(dbl(z0))) → mark(dbl1(z0))
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active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
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active(dbl(z0)) → dbl(active(z0))
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active(dbls(z0)) → dbls(active(z0))
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active(sel(z0, z1)) → sel(active(z0), z1)
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active(sel(z0, z1)) → sel(z0, active(z1))
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active(indx(z0, z1)) → indx(active(z0), z1)
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active(dbl1(z0)) → dbl1(active(z0))
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active(s1(z0)) → s1(active(z0))
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active(sel1(z0, z1)) → sel1(active(z0), z1)
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active(sel1(z0, z1)) → sel1(z0, active(z1))
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active(quote(z0)) → quote(active(z0))
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dbl(mark(z0)) → mark(dbl(z0))
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dbl(ok(z0)) → ok(dbl(z0))
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dbls(mark(z0)) → mark(dbls(z0))
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dbls(ok(z0)) → ok(dbls(z0))
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sel(mark(z0), z1) → mark(sel(z0, z1))
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sel(z0, mark(z1)) → mark(sel(z0, z1))
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sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
417.06/126.57
indx(mark(z0), z1) → mark(indx(z0, z1))
417.06/126.57
indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
417.06/126.57
dbl1(mark(z0)) → mark(dbl1(z0))
417.06/126.57
dbl1(ok(z0)) → ok(dbl1(z0))
417.06/126.57
s1(mark(z0)) → mark(s1(z0))
417.06/126.57
s1(ok(z0)) → ok(s1(z0))
417.06/126.57
sel1(mark(z0), z1) → mark(sel1(z0, z1))
417.06/126.57
sel1(z0, mark(z1)) → mark(sel1(z0, z1))
417.06/126.57
sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
417.06/126.57
quote(mark(z0)) → mark(quote(z0))
417.06/126.57
quote(ok(z0)) → ok(quote(z0))
417.06/126.57
proper(dbl(z0)) → dbl(proper(z0))
417.06/126.57
proper(0) → ok(0)
417.06/126.57
proper(s(z0)) → s(proper(z0))
417.06/126.57
proper(dbls(z0)) → dbls(proper(z0))
417.06/126.57
proper(nil) → ok(nil)
417.06/126.57
proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
417.06/126.57
proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
417.06/126.57
proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
417.06/126.57
proper(from(z0)) → from(proper(z0))
417.06/126.57
proper(dbl1(z0)) → dbl1(proper(z0))
417.06/126.57
proper(01) → ok(01)
417.06/126.57
proper(s1(z0)) → s1(proper(z0))
417.06/126.57
proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
417.06/126.57
proper(quote(z0)) → quote(proper(z0))
417.06/126.57
s(ok(z0)) → ok(s(z0))
417.06/126.57
cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
417.06/126.57
from(ok(z0)) → ok(from(z0))
417.06/126.57
top(mark(z0)) → top(proper(z0))
417.06/126.57
top(ok(z0)) → top(active(z0))
Tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
417.06/126.57
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
417.06/126.57
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
417.06/126.57
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
417.06/126.57
ACTIVE(dbls(z0)) → c18(DBLS(active(z0)), ACTIVE(z0))
417.06/126.57
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
417.06/126.57
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
417.06/126.57
ACTIVE(indx(z0, z1)) → c21(INDX(active(z0), z1), ACTIVE(z0))
417.06/126.57
ACTIVE(dbl1(z0)) → c22(DBL1(active(z0)), ACTIVE(z0))
417.06/126.57
ACTIVE(s1(z0)) → c23(S1(active(z0)), ACTIVE(z0))
417.06/126.57
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
417.06/126.57
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
417.06/126.57
ACTIVE(quote(z0)) → c26(QUOTE(active(z0)), ACTIVE(z0))
417.06/126.57
DBL(mark(z0)) → c27(DBL(z0))
417.06/126.57
DBL(ok(z0)) → c28(DBL(z0))
417.06/126.57
DBLS(mark(z0)) → c29(DBLS(z0))
417.06/126.57
DBLS(ok(z0)) → c30(DBLS(z0))
417.06/126.57
SEL(mark(z0), z1) → c31(SEL(z0, z1))
417.06/126.57
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
417.06/126.57
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
417.06/126.57
INDX(mark(z0), z1) → c34(INDX(z0, z1))
417.06/126.57
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
417.06/126.57
DBL1(mark(z0)) → c36(DBL1(z0))
417.06/126.57
DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
417.06/126.57
S1(ok(z0)) → c39(S1(z0))
417.06/126.57
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
417.06/126.57
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
417.06/126.57
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
417.06/126.57
QUOTE(mark(z0)) → c43(QUOTE(z0))
417.06/126.57
QUOTE(ok(z0)) → c44(QUOTE(z0))
417.06/126.57
PROPER(dbl(z0)) → c45(DBL(proper(z0)), PROPER(z0))
417.06/126.57
PROPER(s(z0)) → c47(S(proper(z0)), PROPER(z0))
417.06/126.57
PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
417.06/126.57
PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
417.06/126.57
PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
417.06/126.57
PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
417.06/126.57
PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
417.06/126.57
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
417.06/126.57
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
417.06/126.57
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
417.06/126.57
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
417.06/126.57
S(ok(z0)) → c59(S(z0))
417.06/126.57
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
417.06/126.57
FROM(ok(z0)) → c61(FROM(z0))
417.06/126.57
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
417.06/126.57
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
417.06/126.57
ACTIVE(from(z0)) → c8(S(z0))
417.06/126.57
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
417.06/126.57
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
417.06/126.57
ACTIVE(dbl(s(z0))) → c(DBL(z0))
417.06/126.57
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
417.06/126.57
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
417.06/126.57
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
417.06/126.57
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
417.06/126.57
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
417.06/126.57
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
417.06/126.57
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
417.06/126.57
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
417.06/126.57
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
417.06/126.57
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
417.06/126.57
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
417.06/126.57
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)), ACTIVE(dbl(0)))
417.06/126.57
ACTIVE(dbl(dbl(s(z0)))) → c17(DBL(mark(s(s(dbl(z0))))), ACTIVE(dbl(s(z0))))
417.06/126.57
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)), ACTIVE(dbls(nil)))
417.06/126.57
ACTIVE(dbl(dbls(cons(z0, z1)))) → c17(DBL(mark(cons(dbl(z0), dbls(z1)))), ACTIVE(dbls(cons(z0, z1))))
417.06/126.57
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
417.06/126.57
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
417.06/126.57
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)), ACTIVE(indx(nil, z0)))
417.06/126.57
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c17(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))), ACTIVE(indx(cons(z0, z1), z2)))
417.06/126.57
ACTIVE(dbl(from(z0))) → c17(DBL(mark(cons(z0, from(s(z0))))), ACTIVE(from(z0)))
417.06/126.57
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)), ACTIVE(dbl1(0)))
417.06/126.57
ACTIVE(dbl(dbl1(s(z0)))) → c17(DBL(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
417.06/126.57
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
417.06/126.57
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
417.06/126.57
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)), ACTIVE(quote(0)))
417.06/126.57
ACTIVE(dbl(quote(s(z0)))) → c17(DBL(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
417.06/126.57
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
417.06/126.57
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
417.06/126.57
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
417.06/126.57
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
417.06/126.57
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
417.06/126.57
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
417.06/126.57
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
417.06/126.57
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
417.06/126.57
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
417.06/126.57
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
417.06/126.57
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
417.06/126.57
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
S tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
417.06/126.57
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
417.06/126.57
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
417.06/126.57
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
417.06/126.57
ACTIVE(dbls(z0)) → c18(DBLS(active(z0)), ACTIVE(z0))
417.06/126.57
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
417.06/126.57
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
417.06/126.57
ACTIVE(indx(z0, z1)) → c21(INDX(active(z0), z1), ACTIVE(z0))
417.06/126.57
ACTIVE(dbl1(z0)) → c22(DBL1(active(z0)), ACTIVE(z0))
417.06/126.57
ACTIVE(s1(z0)) → c23(S1(active(z0)), ACTIVE(z0))
417.06/126.57
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
417.06/126.57
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
417.06/126.57
ACTIVE(quote(z0)) → c26(QUOTE(active(z0)), ACTIVE(z0))
417.06/126.57
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
417.06/126.57
DBLS(mark(z0)) → c29(DBLS(z0))
417.06/126.57
DBLS(ok(z0)) → c30(DBLS(z0))
417.06/126.57
SEL(mark(z0), z1) → c31(SEL(z0, z1))
417.06/126.57
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
417.06/126.57
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
417.06/126.57
INDX(mark(z0), z1) → c34(INDX(z0, z1))
417.06/126.57
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
417.06/126.57
DBL1(mark(z0)) → c36(DBL1(z0))
417.06/126.57
DBL1(ok(z0)) → c37(DBL1(z0))
417.06/126.57
S1(mark(z0)) → c38(S1(z0))
417.06/126.57
S1(ok(z0)) → c39(S1(z0))
417.06/126.57
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
417.06/126.57
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
417.06/126.57
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
417.06/126.57
QUOTE(mark(z0)) → c43(QUOTE(z0))
417.06/126.57
QUOTE(ok(z0)) → c44(QUOTE(z0))
417.06/126.57
PROPER(dbl(z0)) → c45(DBL(proper(z0)), PROPER(z0))
417.06/126.57
PROPER(s(z0)) → c47(S(proper(z0)), PROPER(z0))
417.06/126.57
PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
417.06/126.57
PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
417.06/126.57
PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
417.06/126.57
PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
417.06/126.57
PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
417.06/126.57
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
417.06/126.57
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
417.06/126.57
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
417.06/126.57
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
417.06/126.57
S(ok(z0)) → c59(S(z0))
417.06/126.57
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
417.06/126.57
FROM(ok(z0)) → c61(FROM(z0))
417.06/126.57
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
417.06/126.57
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
417.06/126.57
ACTIVE(from(z0)) → c8(S(z0))
417.06/126.57
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
417.06/126.57
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
417.06/126.57
ACTIVE(dbl(s(z0))) → c(DBL(z0))
417.06/126.57
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
417.06/126.57
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
417.06/126.57
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
417.06/126.57
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
417.06/126.57
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
417.06/126.57
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
417.06/126.57
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
417.06/126.57
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
417.06/126.57
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
417.06/126.57
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
417.06/126.57
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
417.06/126.57
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)), ACTIVE(dbl(0)))
417.06/126.57
ACTIVE(dbl(dbl(s(z0)))) → c17(DBL(mark(s(s(dbl(z0))))), ACTIVE(dbl(s(z0))))
417.06/126.57
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)), ACTIVE(dbls(nil)))
417.06/126.57
ACTIVE(dbl(dbls(cons(z0, z1)))) → c17(DBL(mark(cons(dbl(z0), dbls(z1)))), ACTIVE(dbls(cons(z0, z1))))
417.06/126.57
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
417.06/126.57
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
417.06/126.57
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)), ACTIVE(indx(nil, z0)))
417.06/126.57
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c17(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))), ACTIVE(indx(cons(z0, z1), z2)))
417.06/126.57
ACTIVE(dbl(from(z0))) → c17(DBL(mark(cons(z0, from(s(z0))))), ACTIVE(from(z0)))
417.06/126.57
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)), ACTIVE(dbl1(0)))
417.06/126.57
ACTIVE(dbl(dbl1(s(z0)))) → c17(DBL(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
417.06/126.57
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
417.06/126.57
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
417.06/126.57
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)), ACTIVE(quote(0)))
417.06/126.57
ACTIVE(dbl(quote(s(z0)))) → c17(DBL(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
417.06/126.57
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
417.06/126.57
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
417.06/126.57
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
417.06/126.57
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
417.06/126.57
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
417.06/126.57
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
417.06/126.57
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
417.06/126.57
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
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ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
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ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
ACTIVE, DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, PROPER, S, CONS, FROM, TOP
Compound Symbols:
c5, c12, c15, c16, c18, c19, c20, c21, c22, c23, c24, c25, c26, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c45, c47, c48, c50, c51, c52, c53, c54, c56, c57, c58, c59, c60, c61, c62, c63, c8, c, c17
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(9) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID) transformation)
Removed 1 trailing tuple parts
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(10) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
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active(dbl(s(z0))) → mark(s(s(dbl(z0))))
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active(dbls(nil)) → mark(nil)
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active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
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active(sel(0, cons(z0, z1))) → mark(z0)
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active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
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active(indx(nil, z0)) → mark(nil)
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active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
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active(from(z0)) → mark(cons(z0, from(s(z0))))
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active(dbl1(0)) → mark(01)
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active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
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active(sel1(0, cons(z0, z1))) → mark(z0)
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active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
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active(quote(0)) → mark(01)
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active(quote(s(z0))) → mark(s1(quote(z0)))
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active(quote(dbl(z0))) → mark(dbl1(z0))
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active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
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active(dbl(z0)) → dbl(active(z0))
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active(dbls(z0)) → dbls(active(z0))
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active(sel(z0, z1)) → sel(active(z0), z1)
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active(sel(z0, z1)) → sel(z0, active(z1))
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active(indx(z0, z1)) → indx(active(z0), z1)
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active(dbl1(z0)) → dbl1(active(z0))
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active(s1(z0)) → s1(active(z0))
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active(sel1(z0, z1)) → sel1(active(z0), z1)
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active(sel1(z0, z1)) → sel1(z0, active(z1))
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active(quote(z0)) → quote(active(z0))
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dbl(mark(z0)) → mark(dbl(z0))
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dbl(ok(z0)) → ok(dbl(z0))
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dbls(mark(z0)) → mark(dbls(z0))
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dbls(ok(z0)) → ok(dbls(z0))
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sel(mark(z0), z1) → mark(sel(z0, z1))
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sel(z0, mark(z1)) → mark(sel(z0, z1))
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sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
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indx(mark(z0), z1) → mark(indx(z0, z1))
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indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
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dbl1(mark(z0)) → mark(dbl1(z0))
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dbl1(ok(z0)) → ok(dbl1(z0))
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s1(mark(z0)) → mark(s1(z0))
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s1(ok(z0)) → ok(s1(z0))
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sel1(mark(z0), z1) → mark(sel1(z0, z1))
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sel1(z0, mark(z1)) → mark(sel1(z0, z1))
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sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
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quote(mark(z0)) → mark(quote(z0))
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quote(ok(z0)) → ok(quote(z0))
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proper(dbl(z0)) → dbl(proper(z0))
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proper(0) → ok(0)
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proper(s(z0)) → s(proper(z0))
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proper(dbls(z0)) → dbls(proper(z0))
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proper(nil) → ok(nil)
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proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
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proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
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proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
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proper(from(z0)) → from(proper(z0))
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proper(dbl1(z0)) → dbl1(proper(z0))
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proper(01) → ok(01)
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proper(s1(z0)) → s1(proper(z0))
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proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
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proper(quote(z0)) → quote(proper(z0))
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s(ok(z0)) → ok(s(z0))
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cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
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from(ok(z0)) → ok(from(z0))
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top(mark(z0)) → top(proper(z0))
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top(ok(z0)) → top(active(z0))
Tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
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ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
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ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
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ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
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ACTIVE(dbls(z0)) → c18(DBLS(active(z0)), ACTIVE(z0))
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ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
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ACTIVE(indx(z0, z1)) → c21(INDX(active(z0), z1), ACTIVE(z0))
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ACTIVE(dbl1(z0)) → c22(DBL1(active(z0)), ACTIVE(z0))
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ACTIVE(s1(z0)) → c23(S1(active(z0)), ACTIVE(z0))
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ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
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ACTIVE(quote(z0)) → c26(QUOTE(active(z0)), ACTIVE(z0))
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DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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PROPER(dbl(z0)) → c45(DBL(proper(z0)), PROPER(z0))
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PROPER(s(z0)) → c47(S(proper(z0)), PROPER(z0))
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PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
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PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
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PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
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PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
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PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
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TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
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TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
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ACTIVE(from(z0)) → c8(S(z0))
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ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
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ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
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ACTIVE(dbl(s(z0))) → c(DBL(z0))
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ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
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ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
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ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
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ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
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ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
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ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
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ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
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ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
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ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
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ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
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ACTIVE(quote(s(z0))) → c(QUOTE(z0))
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ACTIVE(dbl(dbl(s(z0)))) → c17(DBL(mark(s(s(dbl(z0))))), ACTIVE(dbl(s(z0))))
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ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)), ACTIVE(dbls(nil)))
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ACTIVE(dbl(dbls(cons(z0, z1)))) → c17(DBL(mark(cons(dbl(z0), dbls(z1)))), ACTIVE(dbls(cons(z0, z1))))
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ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
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ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
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ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)), ACTIVE(indx(nil, z0)))
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ACTIVE(dbl(indx(cons(z0, z1), z2))) → c17(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))), ACTIVE(indx(cons(z0, z1), z2)))
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ACTIVE(dbl(from(z0))) → c17(DBL(mark(cons(z0, from(s(z0))))), ACTIVE(from(z0)))
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ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)), ACTIVE(dbl1(0)))
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ACTIVE(dbl(dbl1(s(z0)))) → c17(DBL(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
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ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
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ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
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ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)), ACTIVE(quote(0)))
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ACTIVE(dbl(quote(s(z0)))) → c17(DBL(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
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ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
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ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
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ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
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ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
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ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
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ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
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ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
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ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
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ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
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ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
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ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
S tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
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ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
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ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
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ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
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ACTIVE(dbls(z0)) → c18(DBLS(active(z0)), ACTIVE(z0))
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ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
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ACTIVE(indx(z0, z1)) → c21(INDX(active(z0), z1), ACTIVE(z0))
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ACTIVE(dbl1(z0)) → c22(DBL1(active(z0)), ACTIVE(z0))
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ACTIVE(s1(z0)) → c23(S1(active(z0)), ACTIVE(z0))
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ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
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ACTIVE(quote(z0)) → c26(QUOTE(active(z0)), ACTIVE(z0))
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DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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PROPER(dbl(z0)) → c45(DBL(proper(z0)), PROPER(z0))
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PROPER(s(z0)) → c47(S(proper(z0)), PROPER(z0))
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PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
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PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
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PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
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PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
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PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
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TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
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TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
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ACTIVE(from(z0)) → c8(S(z0))
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ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
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ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
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ACTIVE(dbl(s(z0))) → c(DBL(z0))
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ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
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ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
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ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
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ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
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ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
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ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
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ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
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ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
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ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
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ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
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ACTIVE(quote(s(z0))) → c(QUOTE(z0))
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ACTIVE(dbl(dbl(s(z0)))) → c17(DBL(mark(s(s(dbl(z0))))), ACTIVE(dbl(s(z0))))
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ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)), ACTIVE(dbls(nil)))
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ACTIVE(dbl(dbls(cons(z0, z1)))) → c17(DBL(mark(cons(dbl(z0), dbls(z1)))), ACTIVE(dbls(cons(z0, z1))))
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ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
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ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
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ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)), ACTIVE(indx(nil, z0)))
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ACTIVE(dbl(indx(cons(z0, z1), z2))) → c17(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))), ACTIVE(indx(cons(z0, z1), z2)))
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ACTIVE(dbl(from(z0))) → c17(DBL(mark(cons(z0, from(s(z0))))), ACTIVE(from(z0)))
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ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)), ACTIVE(dbl1(0)))
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ACTIVE(dbl(dbl1(s(z0)))) → c17(DBL(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
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ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
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ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
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ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)), ACTIVE(quote(0)))
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ACTIVE(dbl(quote(s(z0)))) → c17(DBL(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
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ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
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ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
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ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
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ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
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ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
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ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
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ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
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ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
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ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
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ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
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ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
ACTIVE, DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, PROPER, S, CONS, FROM, TOP
Compound Symbols:
c5, c12, c15, c16, c18, c19, c20, c21, c22, c23, c24, c25, c26, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c45, c47, c48, c50, c51, c52, c53, c54, c56, c57, c58, c59, c60, c61, c62, c63, c8, c, c17, c17
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(11) CdtGraphSplitRhsProof (BOTH BOUNDS(ID, ID) transformation)
Split RHS of tuples not part of any SCC
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(12) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
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active(dbl(s(z0))) → mark(s(s(dbl(z0))))
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active(dbls(nil)) → mark(nil)
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active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
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active(sel(0, cons(z0, z1))) → mark(z0)
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active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
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active(indx(nil, z0)) → mark(nil)
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active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
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active(from(z0)) → mark(cons(z0, from(s(z0))))
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active(dbl1(0)) → mark(01)
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active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
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active(sel1(0, cons(z0, z1))) → mark(z0)
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active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
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active(quote(0)) → mark(01)
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active(quote(s(z0))) → mark(s1(quote(z0)))
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active(quote(dbl(z0))) → mark(dbl1(z0))
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active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
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active(dbl(z0)) → dbl(active(z0))
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active(dbls(z0)) → dbls(active(z0))
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active(sel(z0, z1)) → sel(active(z0), z1)
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active(sel(z0, z1)) → sel(z0, active(z1))
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active(indx(z0, z1)) → indx(active(z0), z1)
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active(dbl1(z0)) → dbl1(active(z0))
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active(s1(z0)) → s1(active(z0))
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active(sel1(z0, z1)) → sel1(active(z0), z1)
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active(sel1(z0, z1)) → sel1(z0, active(z1))
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active(quote(z0)) → quote(active(z0))
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dbl(mark(z0)) → mark(dbl(z0))
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dbl(ok(z0)) → ok(dbl(z0))
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dbls(mark(z0)) → mark(dbls(z0))
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dbls(ok(z0)) → ok(dbls(z0))
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sel(mark(z0), z1) → mark(sel(z0, z1))
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sel(z0, mark(z1)) → mark(sel(z0, z1))
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sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
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indx(mark(z0), z1) → mark(indx(z0, z1))
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indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
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dbl1(mark(z0)) → mark(dbl1(z0))
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dbl1(ok(z0)) → ok(dbl1(z0))
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s1(mark(z0)) → mark(s1(z0))
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s1(ok(z0)) → ok(s1(z0))
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sel1(mark(z0), z1) → mark(sel1(z0, z1))
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sel1(z0, mark(z1)) → mark(sel1(z0, z1))
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sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
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quote(mark(z0)) → mark(quote(z0))
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quote(ok(z0)) → ok(quote(z0))
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proper(dbl(z0)) → dbl(proper(z0))
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proper(0) → ok(0)
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proper(s(z0)) → s(proper(z0))
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proper(dbls(z0)) → dbls(proper(z0))
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proper(nil) → ok(nil)
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proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
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proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
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proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
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proper(from(z0)) → from(proper(z0))
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proper(dbl1(z0)) → dbl1(proper(z0))
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proper(01) → ok(01)
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proper(s1(z0)) → s1(proper(z0))
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proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
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proper(quote(z0)) → quote(proper(z0))
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s(ok(z0)) → ok(s(z0))
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cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
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from(ok(z0)) → ok(from(z0))
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top(mark(z0)) → top(proper(z0))
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top(ok(z0)) → top(active(z0))
Tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
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ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
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ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
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ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
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ACTIVE(dbls(z0)) → c18(DBLS(active(z0)), ACTIVE(z0))
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ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
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ACTIVE(indx(z0, z1)) → c21(INDX(active(z0), z1), ACTIVE(z0))
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ACTIVE(dbl1(z0)) → c22(DBL1(active(z0)), ACTIVE(z0))
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ACTIVE(s1(z0)) → c23(S1(active(z0)), ACTIVE(z0))
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ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
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ACTIVE(quote(z0)) → c26(QUOTE(active(z0)), ACTIVE(z0))
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DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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PROPER(dbl(z0)) → c45(DBL(proper(z0)), PROPER(z0))
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PROPER(s(z0)) → c47(S(proper(z0)), PROPER(z0))
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PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
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PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
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PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
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PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
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PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
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TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
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TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
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ACTIVE(from(z0)) → c8(S(z0))
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ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
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ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
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ACTIVE(dbl(s(z0))) → c(DBL(z0))
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ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
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ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
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ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
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ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
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ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
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ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
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ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
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ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
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ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
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ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
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ACTIVE(quote(s(z0))) → c(QUOTE(z0))
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ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)), ACTIVE(dbls(nil)))
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ACTIVE(dbl(dbls(cons(z0, z1)))) → c17(DBL(mark(cons(dbl(z0), dbls(z1)))), ACTIVE(dbls(cons(z0, z1))))
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ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
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ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
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ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)), ACTIVE(indx(nil, z0)))
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ACTIVE(dbl(indx(cons(z0, z1), z2))) → c17(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))), ACTIVE(indx(cons(z0, z1), z2)))
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ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)), ACTIVE(dbl1(0)))
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ACTIVE(dbl(dbl1(s(z0)))) → c17(DBL(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
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ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
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ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
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ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)), ACTIVE(quote(0)))
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ACTIVE(dbl(quote(s(z0)))) → c17(DBL(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
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ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
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ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
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ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
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ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
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ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
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ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
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ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
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ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
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ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
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ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
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ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
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ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
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ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
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ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
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ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
S tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
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ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
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ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
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ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
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ACTIVE(dbls(z0)) → c18(DBLS(active(z0)), ACTIVE(z0))
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ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
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ACTIVE(indx(z0, z1)) → c21(INDX(active(z0), z1), ACTIVE(z0))
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ACTIVE(dbl1(z0)) → c22(DBL1(active(z0)), ACTIVE(z0))
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ACTIVE(s1(z0)) → c23(S1(active(z0)), ACTIVE(z0))
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ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
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ACTIVE(quote(z0)) → c26(QUOTE(active(z0)), ACTIVE(z0))
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DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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PROPER(dbl(z0)) → c45(DBL(proper(z0)), PROPER(z0))
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PROPER(s(z0)) → c47(S(proper(z0)), PROPER(z0))
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PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
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PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
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PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
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PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
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PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
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TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
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TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
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ACTIVE(from(z0)) → c8(S(z0))
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ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
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ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
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ACTIVE(dbl(s(z0))) → c(DBL(z0))
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ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
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ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
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ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
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ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
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ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
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ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
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ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
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ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
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ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
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ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
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ACTIVE(quote(s(z0))) → c(QUOTE(z0))
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ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)), ACTIVE(dbls(nil)))
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ACTIVE(dbl(dbls(cons(z0, z1)))) → c17(DBL(mark(cons(dbl(z0), dbls(z1)))), ACTIVE(dbls(cons(z0, z1))))
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ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
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ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
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ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)), ACTIVE(indx(nil, z0)))
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ACTIVE(dbl(indx(cons(z0, z1), z2))) → c17(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))), ACTIVE(indx(cons(z0, z1), z2)))
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ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)), ACTIVE(dbl1(0)))
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ACTIVE(dbl(dbl1(s(z0)))) → c17(DBL(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
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ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
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ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
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ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)), ACTIVE(quote(0)))
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ACTIVE(dbl(quote(s(z0)))) → c17(DBL(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
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ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
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ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
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ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
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ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
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ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
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ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
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ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
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ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
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ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
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ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
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ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
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ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
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ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
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ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
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ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
ACTIVE, DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, PROPER, S, CONS, FROM, TOP
Compound Symbols:
c5, c12, c15, c16, c18, c19, c20, c21, c22, c23, c24, c25, c26, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c45, c47, c48, c50, c51, c52, c53, c54, c56, c57, c58, c59, c60, c61, c62, c63, c8, c, c17, c17, c1
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(13) CdtNarrowingProof (BOTH BOUNDS(ID, ID) transformation)
Use narrowing to replace
ACTIVE(
dbls(
z0)) →
c18(
DBLS(
active(
z0)),
ACTIVE(
z0)) by
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)), ACTIVE(dbl(0)))
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ACTIVE(dbls(dbl(s(z0)))) → c18(DBLS(mark(s(s(dbl(z0))))), ACTIVE(dbl(s(z0))))
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ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)), ACTIVE(dbls(nil)))
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ACTIVE(dbls(dbls(cons(z0, z1)))) → c18(DBLS(mark(cons(dbl(z0), dbls(z1)))), ACTIVE(dbls(cons(z0, z1))))
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ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
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ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
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ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)), ACTIVE(indx(nil, z0)))
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ACTIVE(dbls(indx(cons(z0, z1), z2))) → c18(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))), ACTIVE(indx(cons(z0, z1), z2)))
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ACTIVE(dbls(from(z0))) → c18(DBLS(mark(cons(z0, from(s(z0))))), ACTIVE(from(z0)))
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ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)), ACTIVE(dbl1(0)))
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ACTIVE(dbls(dbl1(s(z0)))) → c18(DBLS(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
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ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
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ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
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ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)), ACTIVE(quote(0)))
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ACTIVE(dbls(quote(s(z0)))) → c18(DBLS(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
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ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
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ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
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ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
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ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
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ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
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ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
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ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
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ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
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ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
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ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
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(14) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
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active(dbl(s(z0))) → mark(s(s(dbl(z0))))
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active(dbls(nil)) → mark(nil)
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active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
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active(sel(0, cons(z0, z1))) → mark(z0)
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active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
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active(indx(nil, z0)) → mark(nil)
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active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
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active(from(z0)) → mark(cons(z0, from(s(z0))))
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active(dbl1(0)) → mark(01)
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active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
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active(sel1(0, cons(z0, z1))) → mark(z0)
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active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
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active(quote(0)) → mark(01)
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active(quote(s(z0))) → mark(s1(quote(z0)))
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active(quote(dbl(z0))) → mark(dbl1(z0))
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active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
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active(dbl(z0)) → dbl(active(z0))
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active(dbls(z0)) → dbls(active(z0))
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active(sel(z0, z1)) → sel(active(z0), z1)
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active(sel(z0, z1)) → sel(z0, active(z1))
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active(indx(z0, z1)) → indx(active(z0), z1)
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active(dbl1(z0)) → dbl1(active(z0))
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active(s1(z0)) → s1(active(z0))
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active(sel1(z0, z1)) → sel1(active(z0), z1)
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active(sel1(z0, z1)) → sel1(z0, active(z1))
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active(quote(z0)) → quote(active(z0))
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dbl(mark(z0)) → mark(dbl(z0))
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dbl(ok(z0)) → ok(dbl(z0))
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dbls(mark(z0)) → mark(dbls(z0))
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dbls(ok(z0)) → ok(dbls(z0))
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sel(mark(z0), z1) → mark(sel(z0, z1))
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sel(z0, mark(z1)) → mark(sel(z0, z1))
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sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
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indx(mark(z0), z1) → mark(indx(z0, z1))
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indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
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dbl1(mark(z0)) → mark(dbl1(z0))
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dbl1(ok(z0)) → ok(dbl1(z0))
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s1(mark(z0)) → mark(s1(z0))
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s1(ok(z0)) → ok(s1(z0))
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sel1(mark(z0), z1) → mark(sel1(z0, z1))
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sel1(z0, mark(z1)) → mark(sel1(z0, z1))
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sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
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quote(mark(z0)) → mark(quote(z0))
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quote(ok(z0)) → ok(quote(z0))
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proper(dbl(z0)) → dbl(proper(z0))
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proper(0) → ok(0)
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proper(s(z0)) → s(proper(z0))
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proper(dbls(z0)) → dbls(proper(z0))
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proper(nil) → ok(nil)
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proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
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proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
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proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
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proper(from(z0)) → from(proper(z0))
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proper(dbl1(z0)) → dbl1(proper(z0))
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proper(01) → ok(01)
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proper(s1(z0)) → s1(proper(z0))
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proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
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proper(quote(z0)) → quote(proper(z0))
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s(ok(z0)) → ok(s(z0))
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cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
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from(ok(z0)) → ok(from(z0))
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top(mark(z0)) → top(proper(z0))
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top(ok(z0)) → top(active(z0))
Tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
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ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
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ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
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ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
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ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
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ACTIVE(indx(z0, z1)) → c21(INDX(active(z0), z1), ACTIVE(z0))
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ACTIVE(dbl1(z0)) → c22(DBL1(active(z0)), ACTIVE(z0))
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ACTIVE(s1(z0)) → c23(S1(active(z0)), ACTIVE(z0))
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ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
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ACTIVE(quote(z0)) → c26(QUOTE(active(z0)), ACTIVE(z0))
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DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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PROPER(dbl(z0)) → c45(DBL(proper(z0)), PROPER(z0))
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PROPER(s(z0)) → c47(S(proper(z0)), PROPER(z0))
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PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
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PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
417.06/126.57
PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
417.06/126.57
PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
417.06/126.57
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
417.06/126.57
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
417.06/126.57
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
417.06/126.57
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
417.06/126.57
S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
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TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
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TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
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ACTIVE(from(z0)) → c8(S(z0))
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ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
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ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
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ACTIVE(dbl(s(z0))) → c(DBL(z0))
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ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
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ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
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ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
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ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
417.06/126.57
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
417.06/126.57
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
417.06/126.57
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
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ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
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ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
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ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
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ACTIVE(quote(s(z0))) → c(QUOTE(z0))
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ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)), ACTIVE(dbls(nil)))
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ACTIVE(dbl(dbls(cons(z0, z1)))) → c17(DBL(mark(cons(dbl(z0), dbls(z1)))), ACTIVE(dbls(cons(z0, z1))))
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ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
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ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
417.06/126.57
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)), ACTIVE(indx(nil, z0)))
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ACTIVE(dbl(indx(cons(z0, z1), z2))) → c17(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))), ACTIVE(indx(cons(z0, z1), z2)))
417.06/126.57
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)), ACTIVE(dbl1(0)))
417.06/126.57
ACTIVE(dbl(dbl1(s(z0)))) → c17(DBL(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
417.06/126.57
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
417.06/126.57
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
417.06/126.57
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)), ACTIVE(quote(0)))
417.06/126.57
ACTIVE(dbl(quote(s(z0)))) → c17(DBL(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
417.06/126.57
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
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ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
417.06/126.57
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
417.06/126.57
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
417.06/126.57
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
417.06/126.57
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
417.06/126.57
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
417.06/126.57
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
417.06/126.57
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
417.06/126.57
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
417.06/126.57
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
417.06/126.57
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
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ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
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ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
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ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
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ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
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ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
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ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)), ACTIVE(dbl(0)))
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ACTIVE(dbls(dbl(s(z0)))) → c18(DBLS(mark(s(s(dbl(z0))))), ACTIVE(dbl(s(z0))))
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ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)), ACTIVE(dbls(nil)))
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ACTIVE(dbls(dbls(cons(z0, z1)))) → c18(DBLS(mark(cons(dbl(z0), dbls(z1)))), ACTIVE(dbls(cons(z0, z1))))
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ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
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ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
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ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)), ACTIVE(indx(nil, z0)))
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ACTIVE(dbls(indx(cons(z0, z1), z2))) → c18(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))), ACTIVE(indx(cons(z0, z1), z2)))
417.06/126.57
ACTIVE(dbls(from(z0))) → c18(DBLS(mark(cons(z0, from(s(z0))))), ACTIVE(from(z0)))
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ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)), ACTIVE(dbl1(0)))
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ACTIVE(dbls(dbl1(s(z0)))) → c18(DBLS(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
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ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
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ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
417.06/126.57
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)), ACTIVE(quote(0)))
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ACTIVE(dbls(quote(s(z0)))) → c18(DBLS(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
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ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
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ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
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ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
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ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
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ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
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ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
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ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
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ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
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ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
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ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
S tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
417.06/126.57
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
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ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
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ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
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ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
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ACTIVE(indx(z0, z1)) → c21(INDX(active(z0), z1), ACTIVE(z0))
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ACTIVE(dbl1(z0)) → c22(DBL1(active(z0)), ACTIVE(z0))
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ACTIVE(s1(z0)) → c23(S1(active(z0)), ACTIVE(z0))
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ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
417.06/126.57
ACTIVE(quote(z0)) → c26(QUOTE(active(z0)), ACTIVE(z0))
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DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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PROPER(dbl(z0)) → c45(DBL(proper(z0)), PROPER(z0))
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PROPER(s(z0)) → c47(S(proper(z0)), PROPER(z0))
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PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
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PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
417.06/126.57
PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
417.06/126.57
PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
417.06/126.57
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
417.06/126.57
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
417.06/126.57
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
417.06/126.57
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
417.06/126.57
S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
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TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
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TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
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ACTIVE(from(z0)) → c8(S(z0))
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ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
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ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
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ACTIVE(dbl(s(z0))) → c(DBL(z0))
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ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
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ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
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ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
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ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
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ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
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ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
417.06/126.57
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
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ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
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ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
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ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
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ACTIVE(quote(s(z0))) → c(QUOTE(z0))
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ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)), ACTIVE(dbls(nil)))
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ACTIVE(dbl(dbls(cons(z0, z1)))) → c17(DBL(mark(cons(dbl(z0), dbls(z1)))), ACTIVE(dbls(cons(z0, z1))))
417.06/126.57
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
417.06/126.57
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
417.06/126.57
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)), ACTIVE(indx(nil, z0)))
417.06/126.57
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c17(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))), ACTIVE(indx(cons(z0, z1), z2)))
417.06/126.57
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)), ACTIVE(dbl1(0)))
417.06/126.57
ACTIVE(dbl(dbl1(s(z0)))) → c17(DBL(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
417.06/126.57
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
417.06/126.57
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
417.06/126.57
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)), ACTIVE(quote(0)))
417.06/126.57
ACTIVE(dbl(quote(s(z0)))) → c17(DBL(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
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ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
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ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
417.06/126.57
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
417.06/126.57
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
417.06/126.57
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
417.06/126.57
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
417.06/126.57
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
417.06/126.57
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
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ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
417.06/126.57
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
417.06/126.57
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
417.06/126.57
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
417.06/126.57
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
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ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
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ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
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ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
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ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
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ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)), ACTIVE(dbl(0)))
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ACTIVE(dbls(dbl(s(z0)))) → c18(DBLS(mark(s(s(dbl(z0))))), ACTIVE(dbl(s(z0))))
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ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)), ACTIVE(dbls(nil)))
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ACTIVE(dbls(dbls(cons(z0, z1)))) → c18(DBLS(mark(cons(dbl(z0), dbls(z1)))), ACTIVE(dbls(cons(z0, z1))))
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ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
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ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
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ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)), ACTIVE(indx(nil, z0)))
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ACTIVE(dbls(indx(cons(z0, z1), z2))) → c18(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))), ACTIVE(indx(cons(z0, z1), z2)))
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ACTIVE(dbls(from(z0))) → c18(DBLS(mark(cons(z0, from(s(z0))))), ACTIVE(from(z0)))
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ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)), ACTIVE(dbl1(0)))
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ACTIVE(dbls(dbl1(s(z0)))) → c18(DBLS(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
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ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
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ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
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ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)), ACTIVE(quote(0)))
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ACTIVE(dbls(quote(s(z0)))) → c18(DBLS(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
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ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
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ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
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ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
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ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
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ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
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ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
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ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
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ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
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ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
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ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
ACTIVE, DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, PROPER, S, CONS, FROM, TOP
Compound Symbols:
c5, c12, c15, c16, c19, c20, c21, c22, c23, c24, c25, c26, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c45, c47, c48, c50, c51, c52, c53, c54, c56, c57, c58, c59, c60, c61, c62, c63, c8, c, c17, c17, c1, c18
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(15) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID) transformation)
Removed 3 trailing tuple parts
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(16) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
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active(dbl(s(z0))) → mark(s(s(dbl(z0))))
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active(dbls(nil)) → mark(nil)
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active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
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active(sel(0, cons(z0, z1))) → mark(z0)
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active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
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active(indx(nil, z0)) → mark(nil)
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active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
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active(from(z0)) → mark(cons(z0, from(s(z0))))
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active(dbl1(0)) → mark(01)
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active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
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active(sel1(0, cons(z0, z1))) → mark(z0)
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active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
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active(quote(0)) → mark(01)
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active(quote(s(z0))) → mark(s1(quote(z0)))
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active(quote(dbl(z0))) → mark(dbl1(z0))
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active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
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active(dbl(z0)) → dbl(active(z0))
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active(dbls(z0)) → dbls(active(z0))
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active(sel(z0, z1)) → sel(active(z0), z1)
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active(sel(z0, z1)) → sel(z0, active(z1))
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active(indx(z0, z1)) → indx(active(z0), z1)
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active(dbl1(z0)) → dbl1(active(z0))
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active(s1(z0)) → s1(active(z0))
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active(sel1(z0, z1)) → sel1(active(z0), z1)
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active(sel1(z0, z1)) → sel1(z0, active(z1))
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active(quote(z0)) → quote(active(z0))
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dbl(mark(z0)) → mark(dbl(z0))
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dbl(ok(z0)) → ok(dbl(z0))
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dbls(mark(z0)) → mark(dbls(z0))
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dbls(ok(z0)) → ok(dbls(z0))
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sel(mark(z0), z1) → mark(sel(z0, z1))
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sel(z0, mark(z1)) → mark(sel(z0, z1))
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sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
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indx(mark(z0), z1) → mark(indx(z0, z1))
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indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
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dbl1(mark(z0)) → mark(dbl1(z0))
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dbl1(ok(z0)) → ok(dbl1(z0))
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s1(mark(z0)) → mark(s1(z0))
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s1(ok(z0)) → ok(s1(z0))
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sel1(mark(z0), z1) → mark(sel1(z0, z1))
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sel1(z0, mark(z1)) → mark(sel1(z0, z1))
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sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
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quote(mark(z0)) → mark(quote(z0))
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quote(ok(z0)) → ok(quote(z0))
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proper(dbl(z0)) → dbl(proper(z0))
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proper(0) → ok(0)
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proper(s(z0)) → s(proper(z0))
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proper(dbls(z0)) → dbls(proper(z0))
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proper(nil) → ok(nil)
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proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
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proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
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proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
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proper(from(z0)) → from(proper(z0))
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proper(dbl1(z0)) → dbl1(proper(z0))
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proper(01) → ok(01)
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proper(s1(z0)) → s1(proper(z0))
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proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
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proper(quote(z0)) → quote(proper(z0))
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s(ok(z0)) → ok(s(z0))
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cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
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from(ok(z0)) → ok(from(z0))
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top(mark(z0)) → top(proper(z0))
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top(ok(z0)) → top(active(z0))
Tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
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ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
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ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
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ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
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ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
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ACTIVE(indx(z0, z1)) → c21(INDX(active(z0), z1), ACTIVE(z0))
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ACTIVE(dbl1(z0)) → c22(DBL1(active(z0)), ACTIVE(z0))
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ACTIVE(s1(z0)) → c23(S1(active(z0)), ACTIVE(z0))
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ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
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ACTIVE(quote(z0)) → c26(QUOTE(active(z0)), ACTIVE(z0))
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DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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PROPER(dbl(z0)) → c45(DBL(proper(z0)), PROPER(z0))
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PROPER(s(z0)) → c47(S(proper(z0)), PROPER(z0))
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PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
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PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
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PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
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PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
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PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
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TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
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TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
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ACTIVE(from(z0)) → c8(S(z0))
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ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
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ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
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ACTIVE(dbl(s(z0))) → c(DBL(z0))
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ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
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ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
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ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
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ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
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ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
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ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
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ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
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ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
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ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
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ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
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ACTIVE(quote(s(z0))) → c(QUOTE(z0))
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ACTIVE(dbl(dbls(cons(z0, z1)))) → c17(DBL(mark(cons(dbl(z0), dbls(z1)))), ACTIVE(dbls(cons(z0, z1))))
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ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
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ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
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ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)), ACTIVE(indx(nil, z0)))
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ACTIVE(dbl(indx(cons(z0, z1), z2))) → c17(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))), ACTIVE(indx(cons(z0, z1), z2)))
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ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)), ACTIVE(dbl1(0)))
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ACTIVE(dbl(dbl1(s(z0)))) → c17(DBL(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
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ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
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ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
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ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)), ACTIVE(quote(0)))
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ACTIVE(dbl(quote(s(z0)))) → c17(DBL(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
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ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
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ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
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ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
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ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
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ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
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ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
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ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
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ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
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ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
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ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
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ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
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ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
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ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
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ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
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ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
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ACTIVE(dbls(dbl(s(z0)))) → c18(DBLS(mark(s(s(dbl(z0))))), ACTIVE(dbl(s(z0))))
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ACTIVE(dbls(dbls(cons(z0, z1)))) → c18(DBLS(mark(cons(dbl(z0), dbls(z1)))), ACTIVE(dbls(cons(z0, z1))))
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ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
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ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
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ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)), ACTIVE(indx(nil, z0)))
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ACTIVE(dbls(indx(cons(z0, z1), z2))) → c18(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))), ACTIVE(indx(cons(z0, z1), z2)))
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ACTIVE(dbls(from(z0))) → c18(DBLS(mark(cons(z0, from(s(z0))))), ACTIVE(from(z0)))
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ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)), ACTIVE(dbl1(0)))
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ACTIVE(dbls(dbl1(s(z0)))) → c18(DBLS(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
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ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
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ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
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ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)), ACTIVE(quote(0)))
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ACTIVE(dbls(quote(s(z0)))) → c18(DBLS(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
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ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
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ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
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ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
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ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
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ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
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ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
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ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
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ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
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ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
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ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
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ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
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ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
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ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
S tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
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ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
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ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
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ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
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ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
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ACTIVE(indx(z0, z1)) → c21(INDX(active(z0), z1), ACTIVE(z0))
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ACTIVE(dbl1(z0)) → c22(DBL1(active(z0)), ACTIVE(z0))
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ACTIVE(s1(z0)) → c23(S1(active(z0)), ACTIVE(z0))
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ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
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ACTIVE(quote(z0)) → c26(QUOTE(active(z0)), ACTIVE(z0))
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DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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PROPER(dbl(z0)) → c45(DBL(proper(z0)), PROPER(z0))
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PROPER(s(z0)) → c47(S(proper(z0)), PROPER(z0))
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PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
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PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
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PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
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PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
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PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
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TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
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TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
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ACTIVE(from(z0)) → c8(S(z0))
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ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
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ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
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ACTIVE(dbl(s(z0))) → c(DBL(z0))
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ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
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ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
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ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
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ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
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ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
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ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
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ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
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ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
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ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
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ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
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ACTIVE(quote(s(z0))) → c(QUOTE(z0))
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ACTIVE(dbl(dbls(cons(z0, z1)))) → c17(DBL(mark(cons(dbl(z0), dbls(z1)))), ACTIVE(dbls(cons(z0, z1))))
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ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
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ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
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ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)), ACTIVE(indx(nil, z0)))
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ACTIVE(dbl(indx(cons(z0, z1), z2))) → c17(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))), ACTIVE(indx(cons(z0, z1), z2)))
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ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)), ACTIVE(dbl1(0)))
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ACTIVE(dbl(dbl1(s(z0)))) → c17(DBL(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
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ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
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ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
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ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)), ACTIVE(quote(0)))
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ACTIVE(dbl(quote(s(z0)))) → c17(DBL(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
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ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
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ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
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ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
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ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
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ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
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ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
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ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
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ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
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ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
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ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
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ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
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ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
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ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
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ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
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ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
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ACTIVE(dbls(dbl(s(z0)))) → c18(DBLS(mark(s(s(dbl(z0))))), ACTIVE(dbl(s(z0))))
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ACTIVE(dbls(dbls(cons(z0, z1)))) → c18(DBLS(mark(cons(dbl(z0), dbls(z1)))), ACTIVE(dbls(cons(z0, z1))))
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ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
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ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
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ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)), ACTIVE(indx(nil, z0)))
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ACTIVE(dbls(indx(cons(z0, z1), z2))) → c18(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))), ACTIVE(indx(cons(z0, z1), z2)))
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ACTIVE(dbls(from(z0))) → c18(DBLS(mark(cons(z0, from(s(z0))))), ACTIVE(from(z0)))
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ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)), ACTIVE(dbl1(0)))
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ACTIVE(dbls(dbl1(s(z0)))) → c18(DBLS(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
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ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
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ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
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ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)), ACTIVE(quote(0)))
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ACTIVE(dbls(quote(s(z0)))) → c18(DBLS(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
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ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
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ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
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ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
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ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
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ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
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ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
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ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
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ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
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ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
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ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
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ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
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ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
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ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
ACTIVE, DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, PROPER, S, CONS, FROM, TOP
Compound Symbols:
c5, c12, c15, c16, c19, c20, c21, c22, c23, c24, c25, c26, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c45, c47, c48, c50, c51, c52, c53, c54, c56, c57, c58, c59, c60, c61, c62, c63, c8, c, c17, c17, c1, c18, c18
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(17) CdtGraphSplitRhsProof (BOTH BOUNDS(ID, ID) transformation)
Split RHS of tuples not part of any SCC
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(18) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
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active(dbl(s(z0))) → mark(s(s(dbl(z0))))
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active(dbls(nil)) → mark(nil)
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active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
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active(sel(0, cons(z0, z1))) → mark(z0)
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active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
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active(indx(nil, z0)) → mark(nil)
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active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
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active(from(z0)) → mark(cons(z0, from(s(z0))))
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active(dbl1(0)) → mark(01)
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active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
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active(sel1(0, cons(z0, z1))) → mark(z0)
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active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
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active(quote(0)) → mark(01)
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active(quote(s(z0))) → mark(s1(quote(z0)))
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active(quote(dbl(z0))) → mark(dbl1(z0))
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active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
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active(dbl(z0)) → dbl(active(z0))
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active(dbls(z0)) → dbls(active(z0))
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active(sel(z0, z1)) → sel(active(z0), z1)
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active(sel(z0, z1)) → sel(z0, active(z1))
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active(indx(z0, z1)) → indx(active(z0), z1)
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active(dbl1(z0)) → dbl1(active(z0))
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active(s1(z0)) → s1(active(z0))
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active(sel1(z0, z1)) → sel1(active(z0), z1)
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active(sel1(z0, z1)) → sel1(z0, active(z1))
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active(quote(z0)) → quote(active(z0))
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dbl(mark(z0)) → mark(dbl(z0))
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dbl(ok(z0)) → ok(dbl(z0))
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dbls(mark(z0)) → mark(dbls(z0))
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dbls(ok(z0)) → ok(dbls(z0))
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sel(mark(z0), z1) → mark(sel(z0, z1))
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sel(z0, mark(z1)) → mark(sel(z0, z1))
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sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
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indx(mark(z0), z1) → mark(indx(z0, z1))
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indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
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dbl1(mark(z0)) → mark(dbl1(z0))
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dbl1(ok(z0)) → ok(dbl1(z0))
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s1(mark(z0)) → mark(s1(z0))
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s1(ok(z0)) → ok(s1(z0))
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sel1(mark(z0), z1) → mark(sel1(z0, z1))
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sel1(z0, mark(z1)) → mark(sel1(z0, z1))
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sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
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quote(mark(z0)) → mark(quote(z0))
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quote(ok(z0)) → ok(quote(z0))
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proper(dbl(z0)) → dbl(proper(z0))
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proper(0) → ok(0)
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proper(s(z0)) → s(proper(z0))
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proper(dbls(z0)) → dbls(proper(z0))
417.48/126.65
proper(nil) → ok(nil)
417.48/126.65
proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
417.48/126.65
proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
417.48/126.65
proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
417.48/126.65
proper(from(z0)) → from(proper(z0))
417.48/126.65
proper(dbl1(z0)) → dbl1(proper(z0))
417.48/126.65
proper(01) → ok(01)
417.48/126.65
proper(s1(z0)) → s1(proper(z0))
417.48/126.65
proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
417.48/126.65
proper(quote(z0)) → quote(proper(z0))
417.48/126.65
s(ok(z0)) → ok(s(z0))
417.48/126.65
cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
417.48/126.65
from(ok(z0)) → ok(from(z0))
417.48/126.65
top(mark(z0)) → top(proper(z0))
417.48/126.65
top(ok(z0)) → top(active(z0))
Tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
417.48/126.65
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
417.48/126.65
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
417.48/126.65
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
417.48/126.65
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
417.48/126.65
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
417.48/126.65
ACTIVE(indx(z0, z1)) → c21(INDX(active(z0), z1), ACTIVE(z0))
417.48/126.65
ACTIVE(dbl1(z0)) → c22(DBL1(active(z0)), ACTIVE(z0))
417.48/126.65
ACTIVE(s1(z0)) → c23(S1(active(z0)), ACTIVE(z0))
417.48/126.65
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
417.48/126.65
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
417.48/126.65
ACTIVE(quote(z0)) → c26(QUOTE(active(z0)), ACTIVE(z0))
417.48/126.65
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
417.48/126.65
DBLS(mark(z0)) → c29(DBLS(z0))
417.48/126.65
DBLS(ok(z0)) → c30(DBLS(z0))
417.48/126.65
SEL(mark(z0), z1) → c31(SEL(z0, z1))
417.48/126.65
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
417.48/126.65
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
417.48/126.65
INDX(mark(z0), z1) → c34(INDX(z0, z1))
417.48/126.65
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
417.48/126.65
DBL1(mark(z0)) → c36(DBL1(z0))
417.48/126.65
DBL1(ok(z0)) → c37(DBL1(z0))
417.48/126.65
S1(mark(z0)) → c38(S1(z0))
417.48/126.65
S1(ok(z0)) → c39(S1(z0))
417.48/126.65
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
417.48/126.65
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
417.48/126.65
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
417.48/126.65
QUOTE(mark(z0)) → c43(QUOTE(z0))
417.48/126.65
QUOTE(ok(z0)) → c44(QUOTE(z0))
417.48/126.65
PROPER(dbl(z0)) → c45(DBL(proper(z0)), PROPER(z0))
417.48/126.65
PROPER(s(z0)) → c47(S(proper(z0)), PROPER(z0))
417.48/126.65
PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
417.48/126.65
PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
417.48/126.65
PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
417.48/126.65
PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
417.48/126.65
PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
417.48/126.65
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
417.48/126.65
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
417.48/126.65
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
417.48/126.65
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
417.48/126.65
S(ok(z0)) → c59(S(z0))
417.48/126.65
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
417.48/126.65
FROM(ok(z0)) → c61(FROM(z0))
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TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
417.48/126.65
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
417.48/126.65
ACTIVE(from(z0)) → c8(S(z0))
417.48/126.65
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
417.48/126.65
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
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ACTIVE(dbl(s(z0))) → c(DBL(z0))
417.48/126.65
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
417.48/126.65
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
417.48/126.65
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
417.48/126.65
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
417.48/126.65
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
417.48/126.65
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
417.48/126.65
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
417.48/126.65
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
417.48/126.65
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
417.48/126.65
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
417.48/126.65
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
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ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
417.48/126.65
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
417.48/126.65
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)), ACTIVE(indx(nil, z0)))
417.48/126.65
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c17(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))), ACTIVE(indx(cons(z0, z1), z2)))
417.48/126.65
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)), ACTIVE(dbl1(0)))
417.48/126.65
ACTIVE(dbl(dbl1(s(z0)))) → c17(DBL(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
417.48/126.65
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
417.48/126.65
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
417.48/126.65
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)), ACTIVE(quote(0)))
417.48/126.65
ACTIVE(dbl(quote(s(z0)))) → c17(DBL(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
417.48/126.65
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
417.48/126.65
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
417.48/126.65
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
417.48/126.65
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
417.48/126.65
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
417.48/126.65
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
417.48/126.65
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
417.48/126.65
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
417.48/126.65
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
417.48/126.65
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
417.48/126.65
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
417.48/126.65
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
417.48/126.65
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
417.48/126.65
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
417.48/126.65
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
417.48/126.65
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
417.48/126.65
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
417.48/126.65
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
417.48/126.65
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
417.48/126.65
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)), ACTIVE(indx(nil, z0)))
417.48/126.65
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c18(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))), ACTIVE(indx(cons(z0, z1), z2)))
417.48/126.65
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)), ACTIVE(dbl1(0)))
417.48/126.65
ACTIVE(dbls(dbl1(s(z0)))) → c18(DBLS(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
417.48/126.65
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
417.48/126.65
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
417.48/126.65
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)), ACTIVE(quote(0)))
417.48/126.65
ACTIVE(dbls(quote(s(z0)))) → c18(DBLS(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
417.48/126.65
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
417.48/126.65
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
417.48/126.65
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
417.48/126.65
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
417.48/126.65
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
417.48/126.65
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
417.48/126.66
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
417.48/126.66
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
417.48/126.66
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
417.48/126.66
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
417.48/126.66
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
417.48/126.66
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
417.48/126.66
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
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ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
417.48/126.66
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
417.48/126.66
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
417.48/126.66
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
417.48/126.66
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
417.48/126.66
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
417.48/126.66
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
417.48/126.66
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
417.48/126.66
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
417.48/126.66
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
S tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
417.48/126.66
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
417.48/126.66
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
417.48/126.66
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
417.48/126.66
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
417.48/126.66
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
417.48/126.66
ACTIVE(indx(z0, z1)) → c21(INDX(active(z0), z1), ACTIVE(z0))
417.48/126.66
ACTIVE(dbl1(z0)) → c22(DBL1(active(z0)), ACTIVE(z0))
417.48/126.66
ACTIVE(s1(z0)) → c23(S1(active(z0)), ACTIVE(z0))
417.48/126.66
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
417.48/126.66
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
417.48/126.66
ACTIVE(quote(z0)) → c26(QUOTE(active(z0)), ACTIVE(z0))
417.48/126.66
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
417.48/126.66
DBLS(mark(z0)) → c29(DBLS(z0))
417.48/126.66
DBLS(ok(z0)) → c30(DBLS(z0))
417.48/126.66
SEL(mark(z0), z1) → c31(SEL(z0, z1))
417.48/126.66
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
417.48/126.66
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
417.48/126.66
INDX(mark(z0), z1) → c34(INDX(z0, z1))
417.48/126.66
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
417.48/126.66
DBL1(mark(z0)) → c36(DBL1(z0))
417.48/126.66
DBL1(ok(z0)) → c37(DBL1(z0))
417.48/126.66
S1(mark(z0)) → c38(S1(z0))
417.48/126.66
S1(ok(z0)) → c39(S1(z0))
417.48/126.66
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
417.48/126.66
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
417.48/126.66
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
417.48/126.66
QUOTE(mark(z0)) → c43(QUOTE(z0))
417.48/126.66
QUOTE(ok(z0)) → c44(QUOTE(z0))
417.48/126.66
PROPER(dbl(z0)) → c45(DBL(proper(z0)), PROPER(z0))
417.48/126.66
PROPER(s(z0)) → c47(S(proper(z0)), PROPER(z0))
417.48/126.66
PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
417.48/126.66
PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
417.48/126.66
PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
417.48/126.66
PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
417.48/126.66
PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
417.48/126.66
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
417.48/126.66
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
417.48/126.66
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
417.48/126.66
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
417.48/126.66
S(ok(z0)) → c59(S(z0))
417.48/126.66
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
417.48/126.66
FROM(ok(z0)) → c61(FROM(z0))
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TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
417.48/126.66
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
417.48/126.66
ACTIVE(from(z0)) → c8(S(z0))
417.48/126.66
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
417.48/126.66
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
417.48/126.66
ACTIVE(dbl(s(z0))) → c(DBL(z0))
417.48/126.66
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
417.48/126.66
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
417.48/126.66
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
417.48/126.66
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
417.48/126.66
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
417.48/126.66
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
417.48/126.66
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
417.48/126.66
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
417.48/126.66
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
417.48/126.66
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
417.48/126.66
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
417.48/126.66
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
417.48/126.66
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
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ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)), ACTIVE(indx(nil, z0)))
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ACTIVE(dbl(indx(cons(z0, z1), z2))) → c17(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))), ACTIVE(indx(cons(z0, z1), z2)))
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ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)), ACTIVE(dbl1(0)))
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ACTIVE(dbl(dbl1(s(z0)))) → c17(DBL(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
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ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
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ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
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ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)), ACTIVE(quote(0)))
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ACTIVE(dbl(quote(s(z0)))) → c17(DBL(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
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ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
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ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
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ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
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ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
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ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
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ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
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ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
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ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
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ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
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ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
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ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
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ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
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ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
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ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
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ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
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ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
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ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
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ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)), ACTIVE(indx(nil, z0)))
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ACTIVE(dbls(indx(cons(z0, z1), z2))) → c18(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))), ACTIVE(indx(cons(z0, z1), z2)))
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ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)), ACTIVE(dbl1(0)))
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ACTIVE(dbls(dbl1(s(z0)))) → c18(DBLS(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
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ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
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ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
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ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)), ACTIVE(quote(0)))
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ACTIVE(dbls(quote(s(z0)))) → c18(DBLS(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
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ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
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ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
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ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
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ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
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ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
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ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
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ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
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ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
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ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
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ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
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ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
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ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
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ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
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ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
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ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
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ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
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ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
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ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
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ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
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ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
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ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
ACTIVE, DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, PROPER, S, CONS, FROM, TOP
Compound Symbols:
c5, c12, c15, c16, c19, c20, c21, c22, c23, c24, c25, c26, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c45, c47, c48, c50, c51, c52, c53, c54, c56, c57, c58, c59, c60, c61, c62, c63, c8, c, c17, c17, c1, c18, c18, c2
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(19) CdtNarrowingProof (BOTH BOUNDS(ID, ID) transformation)
Use narrowing to replace
ACTIVE(
indx(
z0,
z1)) →
c21(
INDX(
active(
z0),
z1),
ACTIVE(
z0)) by
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1), ACTIVE(dbl(0)))
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ACTIVE(indx(dbl(s(z0)), x1)) → c21(INDX(mark(s(s(dbl(z0)))), x1), ACTIVE(dbl(s(z0))))
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ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1), ACTIVE(dbls(nil)))
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ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c21(INDX(mark(cons(dbl(z0), dbls(z1))), x1), ACTIVE(dbls(cons(z0, z1))))
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ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
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ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
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ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1), ACTIVE(indx(nil, z0)))
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ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c21(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1), ACTIVE(indx(cons(z0, z1), z2)))
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ACTIVE(indx(from(z0), x1)) → c21(INDX(mark(cons(z0, from(s(z0)))), x1), ACTIVE(from(z0)))
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ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1), ACTIVE(dbl1(0)))
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ACTIVE(indx(dbl1(s(z0)), x1)) → c21(INDX(mark(s1(s1(dbl1(z0)))), x1), ACTIVE(dbl1(s(z0))))
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ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
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ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
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ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1), ACTIVE(quote(0)))
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ACTIVE(indx(quote(s(z0)), x1)) → c21(INDX(mark(s1(quote(z0))), x1), ACTIVE(quote(s(z0))))
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ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
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ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
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ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
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ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
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ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
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ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
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ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
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ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
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ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
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ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
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ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
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ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
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(20) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
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active(dbl(s(z0))) → mark(s(s(dbl(z0))))
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active(dbls(nil)) → mark(nil)
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active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
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active(sel(0, cons(z0, z1))) → mark(z0)
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active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
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active(indx(nil, z0)) → mark(nil)
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active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
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active(from(z0)) → mark(cons(z0, from(s(z0))))
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active(dbl1(0)) → mark(01)
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active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
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active(sel1(0, cons(z0, z1))) → mark(z0)
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active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
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active(quote(0)) → mark(01)
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active(quote(s(z0))) → mark(s1(quote(z0)))
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active(quote(dbl(z0))) → mark(dbl1(z0))
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active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
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active(dbl(z0)) → dbl(active(z0))
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active(dbls(z0)) → dbls(active(z0))
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active(sel(z0, z1)) → sel(active(z0), z1)
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active(sel(z0, z1)) → sel(z0, active(z1))
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active(indx(z0, z1)) → indx(active(z0), z1)
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active(dbl1(z0)) → dbl1(active(z0))
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active(s1(z0)) → s1(active(z0))
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active(sel1(z0, z1)) → sel1(active(z0), z1)
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active(sel1(z0, z1)) → sel1(z0, active(z1))
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active(quote(z0)) → quote(active(z0))
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dbl(mark(z0)) → mark(dbl(z0))
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dbl(ok(z0)) → ok(dbl(z0))
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dbls(mark(z0)) → mark(dbls(z0))
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dbls(ok(z0)) → ok(dbls(z0))
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sel(mark(z0), z1) → mark(sel(z0, z1))
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sel(z0, mark(z1)) → mark(sel(z0, z1))
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sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
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indx(mark(z0), z1) → mark(indx(z0, z1))
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indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
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dbl1(mark(z0)) → mark(dbl1(z0))
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dbl1(ok(z0)) → ok(dbl1(z0))
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s1(mark(z0)) → mark(s1(z0))
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s1(ok(z0)) → ok(s1(z0))
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sel1(mark(z0), z1) → mark(sel1(z0, z1))
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sel1(z0, mark(z1)) → mark(sel1(z0, z1))
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sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
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quote(mark(z0)) → mark(quote(z0))
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quote(ok(z0)) → ok(quote(z0))
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proper(dbl(z0)) → dbl(proper(z0))
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proper(0) → ok(0)
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proper(s(z0)) → s(proper(z0))
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proper(dbls(z0)) → dbls(proper(z0))
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proper(nil) → ok(nil)
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proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
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proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
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proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
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proper(from(z0)) → from(proper(z0))
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proper(dbl1(z0)) → dbl1(proper(z0))
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proper(01) → ok(01)
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proper(s1(z0)) → s1(proper(z0))
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proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
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proper(quote(z0)) → quote(proper(z0))
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s(ok(z0)) → ok(s(z0))
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cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
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from(ok(z0)) → ok(from(z0))
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top(mark(z0)) → top(proper(z0))
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top(ok(z0)) → top(active(z0))
Tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
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ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
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ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
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ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
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ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
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ACTIVE(dbl1(z0)) → c22(DBL1(active(z0)), ACTIVE(z0))
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ACTIVE(s1(z0)) → c23(S1(active(z0)), ACTIVE(z0))
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ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
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ACTIVE(quote(z0)) → c26(QUOTE(active(z0)), ACTIVE(z0))
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DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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PROPER(dbl(z0)) → c45(DBL(proper(z0)), PROPER(z0))
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PROPER(s(z0)) → c47(S(proper(z0)), PROPER(z0))
417.48/126.66
PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
417.48/126.66
PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
417.48/126.66
PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
417.48/126.66
PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
417.48/126.66
PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
417.48/126.66
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
417.48/126.66
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
417.48/126.66
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
417.48/126.66
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
417.48/126.66
S(ok(z0)) → c59(S(z0))
417.48/126.66
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
417.48/126.66
FROM(ok(z0)) → c61(FROM(z0))
417.48/126.66
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
417.48/126.66
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
417.48/126.66
ACTIVE(from(z0)) → c8(S(z0))
417.48/126.66
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
417.48/126.66
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
417.48/126.66
ACTIVE(dbl(s(z0))) → c(DBL(z0))
417.48/126.66
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
417.48/126.66
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
417.48/126.66
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
417.48/126.66
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
417.48/126.66
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
417.48/126.66
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
417.48/126.66
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
417.48/126.66
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
417.48/126.66
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
417.48/126.66
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
417.48/126.66
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
417.48/126.66
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
417.48/126.66
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
417.48/126.66
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)), ACTIVE(indx(nil, z0)))
417.48/126.66
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c17(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))), ACTIVE(indx(cons(z0, z1), z2)))
417.48/126.66
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)), ACTIVE(dbl1(0)))
417.48/126.66
ACTIVE(dbl(dbl1(s(z0)))) → c17(DBL(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
417.48/126.66
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
417.48/126.66
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
417.48/126.66
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)), ACTIVE(quote(0)))
417.48/126.66
ACTIVE(dbl(quote(s(z0)))) → c17(DBL(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
417.48/126.66
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
417.48/126.66
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
417.48/126.66
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
417.48/126.66
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
417.48/126.66
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
417.48/126.66
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
417.48/126.66
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
417.48/126.66
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
417.48/126.66
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
417.48/126.66
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
417.48/126.66
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
417.48/126.66
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
417.48/126.66
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
417.48/126.66
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
417.48/126.66
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
417.48/126.66
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
417.48/126.66
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
417.48/126.66
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
417.48/126.66
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
417.48/126.66
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)), ACTIVE(indx(nil, z0)))
417.48/126.66
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c18(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))), ACTIVE(indx(cons(z0, z1), z2)))
417.48/126.66
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)), ACTIVE(dbl1(0)))
417.48/126.66
ACTIVE(dbls(dbl1(s(z0)))) → c18(DBLS(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
417.48/126.66
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
417.48/126.66
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
417.48/126.66
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)), ACTIVE(quote(0)))
417.48/126.66
ACTIVE(dbls(quote(s(z0)))) → c18(DBLS(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
417.48/126.66
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
417.48/126.66
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
417.48/126.66
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
417.48/126.66
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
417.48/126.66
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
417.48/126.66
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
417.48/126.66
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
417.48/126.66
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
417.48/126.66
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
417.48/126.66
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
417.48/126.66
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
417.48/126.66
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
417.48/126.66
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
417.48/126.66
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
417.48/126.66
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
417.48/126.66
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
417.48/126.66
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
417.48/126.66
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
417.48/126.66
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
417.48/126.66
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
417.48/126.66
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
417.48/126.66
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
417.48/126.66
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
417.48/126.66
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1), ACTIVE(dbl(0)))
417.48/126.66
ACTIVE(indx(dbl(s(z0)), x1)) → c21(INDX(mark(s(s(dbl(z0)))), x1), ACTIVE(dbl(s(z0))))
417.48/126.66
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1), ACTIVE(dbls(nil)))
417.48/126.66
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c21(INDX(mark(cons(dbl(z0), dbls(z1))), x1), ACTIVE(dbls(cons(z0, z1))))
417.48/126.66
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
417.48/126.66
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
417.48/126.66
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1), ACTIVE(indx(nil, z0)))
417.48/126.66
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c21(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1), ACTIVE(indx(cons(z0, z1), z2)))
417.48/126.66
ACTIVE(indx(from(z0), x1)) → c21(INDX(mark(cons(z0, from(s(z0)))), x1), ACTIVE(from(z0)))
417.48/126.66
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1), ACTIVE(dbl1(0)))
417.48/126.66
ACTIVE(indx(dbl1(s(z0)), x1)) → c21(INDX(mark(s1(s1(dbl1(z0)))), x1), ACTIVE(dbl1(s(z0))))
417.48/126.66
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
417.48/126.66
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
417.48/126.66
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1), ACTIVE(quote(0)))
417.48/126.66
ACTIVE(indx(quote(s(z0)), x1)) → c21(INDX(mark(s1(quote(z0))), x1), ACTIVE(quote(s(z0))))
417.48/126.66
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
417.48/126.66
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
417.48/126.66
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
417.48/126.66
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
417.48/126.66
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
417.48/126.66
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
417.48/126.66
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
417.48/126.66
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
417.48/126.66
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
417.48/126.66
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
417.48/126.66
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
417.48/126.66
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
S tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
417.48/126.66
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
417.48/126.66
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
417.48/126.66
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
417.48/126.66
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
417.48/126.66
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
417.48/126.66
ACTIVE(dbl1(z0)) → c22(DBL1(active(z0)), ACTIVE(z0))
417.48/126.66
ACTIVE(s1(z0)) → c23(S1(active(z0)), ACTIVE(z0))
417.48/126.66
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
417.48/126.66
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
417.48/126.66
ACTIVE(quote(z0)) → c26(QUOTE(active(z0)), ACTIVE(z0))
417.48/126.66
DBL(mark(z0)) → c27(DBL(z0))
417.48/126.66
DBL(ok(z0)) → c28(DBL(z0))
417.48/126.66
DBLS(mark(z0)) → c29(DBLS(z0))
417.48/126.66
DBLS(ok(z0)) → c30(DBLS(z0))
417.48/126.66
SEL(mark(z0), z1) → c31(SEL(z0, z1))
417.48/126.66
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
417.48/126.66
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
417.48/126.66
INDX(mark(z0), z1) → c34(INDX(z0, z1))
417.48/126.66
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
417.48/126.66
DBL1(mark(z0)) → c36(DBL1(z0))
417.48/126.66
DBL1(ok(z0)) → c37(DBL1(z0))
417.48/126.66
S1(mark(z0)) → c38(S1(z0))
417.48/126.66
S1(ok(z0)) → c39(S1(z0))
417.48/126.66
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
417.48/126.66
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
417.48/126.66
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
417.48/126.66
QUOTE(mark(z0)) → c43(QUOTE(z0))
417.48/126.66
QUOTE(ok(z0)) → c44(QUOTE(z0))
417.48/126.66
PROPER(dbl(z0)) → c45(DBL(proper(z0)), PROPER(z0))
417.48/126.66
PROPER(s(z0)) → c47(S(proper(z0)), PROPER(z0))
417.48/126.66
PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
417.48/126.66
PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
417.48/126.66
PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
417.48/126.66
PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
417.48/126.66
PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
417.48/126.66
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
417.48/126.66
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
417.48/126.66
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
417.48/126.66
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
417.48/126.66
S(ok(z0)) → c59(S(z0))
417.48/126.66
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
417.48/126.66
FROM(ok(z0)) → c61(FROM(z0))
417.48/126.66
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
417.48/126.66
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
417.48/126.66
ACTIVE(from(z0)) → c8(S(z0))
417.48/126.66
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
417.48/126.66
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
417.48/126.66
ACTIVE(dbl(s(z0))) → c(DBL(z0))
417.48/126.66
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
417.48/126.66
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
417.48/126.66
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
417.48/126.66
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
417.48/126.66
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
417.48/126.66
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
417.48/126.66
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
417.48/126.66
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
417.48/126.66
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
417.48/126.66
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
417.48/126.66
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
417.48/126.66
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
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ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
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ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)), ACTIVE(indx(nil, z0)))
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ACTIVE(dbl(indx(cons(z0, z1), z2))) → c17(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))), ACTIVE(indx(cons(z0, z1), z2)))
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ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)), ACTIVE(dbl1(0)))
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ACTIVE(dbl(dbl1(s(z0)))) → c17(DBL(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
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ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
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ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
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ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)), ACTIVE(quote(0)))
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ACTIVE(dbl(quote(s(z0)))) → c17(DBL(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
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ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
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ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
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ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
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ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
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ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
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ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
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ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
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ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
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ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
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ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
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ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
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ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
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ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
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ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
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ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
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ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
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ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
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ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)), ACTIVE(indx(nil, z0)))
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ACTIVE(dbls(indx(cons(z0, z1), z2))) → c18(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))), ACTIVE(indx(cons(z0, z1), z2)))
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ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)), ACTIVE(dbl1(0)))
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ACTIVE(dbls(dbl1(s(z0)))) → c18(DBLS(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
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ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
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ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
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ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)), ACTIVE(quote(0)))
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ACTIVE(dbls(quote(s(z0)))) → c18(DBLS(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
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ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
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ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
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ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
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ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
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ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
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ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
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ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
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ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
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ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
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ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
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ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
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ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
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ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
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ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
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ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
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ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
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ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
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ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
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ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
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ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
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ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
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ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1), ACTIVE(dbl(0)))
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ACTIVE(indx(dbl(s(z0)), x1)) → c21(INDX(mark(s(s(dbl(z0)))), x1), ACTIVE(dbl(s(z0))))
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ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1), ACTIVE(dbls(nil)))
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ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c21(INDX(mark(cons(dbl(z0), dbls(z1))), x1), ACTIVE(dbls(cons(z0, z1))))
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ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
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ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
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ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1), ACTIVE(indx(nil, z0)))
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ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c21(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1), ACTIVE(indx(cons(z0, z1), z2)))
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ACTIVE(indx(from(z0), x1)) → c21(INDX(mark(cons(z0, from(s(z0)))), x1), ACTIVE(from(z0)))
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ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1), ACTIVE(dbl1(0)))
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ACTIVE(indx(dbl1(s(z0)), x1)) → c21(INDX(mark(s1(s1(dbl1(z0)))), x1), ACTIVE(dbl1(s(z0))))
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ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
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ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
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ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1), ACTIVE(quote(0)))
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ACTIVE(indx(quote(s(z0)), x1)) → c21(INDX(mark(s1(quote(z0))), x1), ACTIVE(quote(s(z0))))
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ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
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ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
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ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
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ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
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ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
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ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
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ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
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ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
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ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
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ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
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ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
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ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
ACTIVE, DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, PROPER, S, CONS, FROM, TOP
Compound Symbols:
c5, c12, c15, c16, c19, c20, c22, c23, c24, c25, c26, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c45, c47, c48, c50, c51, c52, c53, c54, c56, c57, c58, c59, c60, c61, c62, c63, c8, c, c17, c17, c1, c18, c18, c2, c21
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(21) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID) transformation)
Removed 5 trailing tuple parts
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(22) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
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active(dbl(s(z0))) → mark(s(s(dbl(z0))))
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active(dbls(nil)) → mark(nil)
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active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
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active(sel(0, cons(z0, z1))) → mark(z0)
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active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
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active(indx(nil, z0)) → mark(nil)
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active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
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active(from(z0)) → mark(cons(z0, from(s(z0))))
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active(dbl1(0)) → mark(01)
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active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
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active(sel1(0, cons(z0, z1))) → mark(z0)
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active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
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active(quote(0)) → mark(01)
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active(quote(s(z0))) → mark(s1(quote(z0)))
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active(quote(dbl(z0))) → mark(dbl1(z0))
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active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
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active(dbl(z0)) → dbl(active(z0))
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active(dbls(z0)) → dbls(active(z0))
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active(sel(z0, z1)) → sel(active(z0), z1)
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active(sel(z0, z1)) → sel(z0, active(z1))
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active(indx(z0, z1)) → indx(active(z0), z1)
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active(dbl1(z0)) → dbl1(active(z0))
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active(s1(z0)) → s1(active(z0))
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active(sel1(z0, z1)) → sel1(active(z0), z1)
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active(sel1(z0, z1)) → sel1(z0, active(z1))
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active(quote(z0)) → quote(active(z0))
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dbl(mark(z0)) → mark(dbl(z0))
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dbl(ok(z0)) → ok(dbl(z0))
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dbls(mark(z0)) → mark(dbls(z0))
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dbls(ok(z0)) → ok(dbls(z0))
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sel(mark(z0), z1) → mark(sel(z0, z1))
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sel(z0, mark(z1)) → mark(sel(z0, z1))
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sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
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indx(mark(z0), z1) → mark(indx(z0, z1))
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indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
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dbl1(mark(z0)) → mark(dbl1(z0))
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dbl1(ok(z0)) → ok(dbl1(z0))
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s1(mark(z0)) → mark(s1(z0))
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s1(ok(z0)) → ok(s1(z0))
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sel1(mark(z0), z1) → mark(sel1(z0, z1))
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sel1(z0, mark(z1)) → mark(sel1(z0, z1))
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sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
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quote(mark(z0)) → mark(quote(z0))
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quote(ok(z0)) → ok(quote(z0))
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proper(dbl(z0)) → dbl(proper(z0))
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proper(0) → ok(0)
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proper(s(z0)) → s(proper(z0))
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proper(dbls(z0)) → dbls(proper(z0))
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proper(nil) → ok(nil)
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proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
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proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
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proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
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proper(from(z0)) → from(proper(z0))
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proper(dbl1(z0)) → dbl1(proper(z0))
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proper(01) → ok(01)
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proper(s1(z0)) → s1(proper(z0))
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proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
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proper(quote(z0)) → quote(proper(z0))
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s(ok(z0)) → ok(s(z0))
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cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
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from(ok(z0)) → ok(from(z0))
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top(mark(z0)) → top(proper(z0))
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top(ok(z0)) → top(active(z0))
Tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
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ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
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ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
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ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
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ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
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ACTIVE(dbl1(z0)) → c22(DBL1(active(z0)), ACTIVE(z0))
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ACTIVE(s1(z0)) → c23(S1(active(z0)), ACTIVE(z0))
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ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
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ACTIVE(quote(z0)) → c26(QUOTE(active(z0)), ACTIVE(z0))
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DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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PROPER(dbl(z0)) → c45(DBL(proper(z0)), PROPER(z0))
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PROPER(s(z0)) → c47(S(proper(z0)), PROPER(z0))
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PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
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PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
417.48/126.66
PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
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PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
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PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
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PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
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TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
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TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
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ACTIVE(from(z0)) → c8(S(z0))
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ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
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ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
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ACTIVE(dbl(s(z0))) → c(DBL(z0))
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ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
417.48/126.66
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
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ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
417.48/126.66
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
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ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
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ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
417.48/126.66
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
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ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
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ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
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ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
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ACTIVE(quote(s(z0))) → c(QUOTE(z0))
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ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
417.48/126.66
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
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ACTIVE(dbl(indx(cons(z0, z1), z2))) → c17(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))), ACTIVE(indx(cons(z0, z1), z2)))
417.48/126.66
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)), ACTIVE(dbl1(0)))
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ACTIVE(dbl(dbl1(s(z0)))) → c17(DBL(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
417.48/126.66
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
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ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
417.48/126.66
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)), ACTIVE(quote(0)))
417.48/126.66
ACTIVE(dbl(quote(s(z0)))) → c17(DBL(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
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ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
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ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
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ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
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ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
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ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
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ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
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ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
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ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
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ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
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ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
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ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
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ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
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ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
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ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
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ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
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ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
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ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
417.48/126.66
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c18(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))), ACTIVE(indx(cons(z0, z1), z2)))
417.48/126.66
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)), ACTIVE(dbl1(0)))
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ACTIVE(dbls(dbl1(s(z0)))) → c18(DBLS(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
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ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
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ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
417.48/126.66
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)), ACTIVE(quote(0)))
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ACTIVE(dbls(quote(s(z0)))) → c18(DBLS(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
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ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
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ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
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ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
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ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
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ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
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ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
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ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
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ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
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ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
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ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
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ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
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ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
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ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
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ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
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ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
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ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
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ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
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ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
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ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
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ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
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ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
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ACTIVE(indx(dbl(s(z0)), x1)) → c21(INDX(mark(s(s(dbl(z0)))), x1), ACTIVE(dbl(s(z0))))
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ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c21(INDX(mark(cons(dbl(z0), dbls(z1))), x1), ACTIVE(dbls(cons(z0, z1))))
417.48/126.66
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
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ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
417.48/126.66
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c21(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1), ACTIVE(indx(cons(z0, z1), z2)))
417.48/126.66
ACTIVE(indx(from(z0), x1)) → c21(INDX(mark(cons(z0, from(s(z0)))), x1), ACTIVE(from(z0)))
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ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1), ACTIVE(dbl1(0)))
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ACTIVE(indx(dbl1(s(z0)), x1)) → c21(INDX(mark(s1(s1(dbl1(z0)))), x1), ACTIVE(dbl1(s(z0))))
417.48/126.66
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
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ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
417.48/126.66
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1), ACTIVE(quote(0)))
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ACTIVE(indx(quote(s(z0)), x1)) → c21(INDX(mark(s1(quote(z0))), x1), ACTIVE(quote(s(z0))))
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ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
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ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
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ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
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ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
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ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
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ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
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ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
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ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
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ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
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ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
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ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
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ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
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ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
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ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
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ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
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ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
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ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
S tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
417.48/126.66
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
417.48/126.66
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
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ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
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ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
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ACTIVE(dbl1(z0)) → c22(DBL1(active(z0)), ACTIVE(z0))
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ACTIVE(s1(z0)) → c23(S1(active(z0)), ACTIVE(z0))
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ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
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ACTIVE(quote(z0)) → c26(QUOTE(active(z0)), ACTIVE(z0))
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DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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PROPER(dbl(z0)) → c45(DBL(proper(z0)), PROPER(z0))
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PROPER(s(z0)) → c47(S(proper(z0)), PROPER(z0))
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PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
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PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
417.48/126.66
PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
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PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
417.48/126.66
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
417.48/126.66
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
417.48/126.66
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
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TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
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TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
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ACTIVE(from(z0)) → c8(S(z0))
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ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
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ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
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ACTIVE(dbl(s(z0))) → c(DBL(z0))
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ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
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ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
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ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
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ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
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ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
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ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
417.48/126.66
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
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ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
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ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
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ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
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ACTIVE(quote(s(z0))) → c(QUOTE(z0))
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ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
417.48/126.66
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
417.48/126.66
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c17(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))), ACTIVE(indx(cons(z0, z1), z2)))
417.48/126.66
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)), ACTIVE(dbl1(0)))
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ACTIVE(dbl(dbl1(s(z0)))) → c17(DBL(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
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ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
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ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
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ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)), ACTIVE(quote(0)))
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ACTIVE(dbl(quote(s(z0)))) → c17(DBL(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
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ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
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ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
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ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
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ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
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ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
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ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
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ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
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ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
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ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
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ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
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ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
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ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
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ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
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ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
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ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
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ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
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ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
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ACTIVE(dbls(indx(cons(z0, z1), z2))) → c18(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))), ACTIVE(indx(cons(z0, z1), z2)))
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ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)), ACTIVE(dbl1(0)))
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ACTIVE(dbls(dbl1(s(z0)))) → c18(DBLS(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
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ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
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ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
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ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)), ACTIVE(quote(0)))
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ACTIVE(dbls(quote(s(z0)))) → c18(DBLS(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
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ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
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ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
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ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
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ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
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ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
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ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
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ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
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ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
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ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
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ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
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ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
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ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
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ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
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ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
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ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
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ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
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ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
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ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
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ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
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ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
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ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
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ACTIVE(indx(dbl(s(z0)), x1)) → c21(INDX(mark(s(s(dbl(z0)))), x1), ACTIVE(dbl(s(z0))))
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ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c21(INDX(mark(cons(dbl(z0), dbls(z1))), x1), ACTIVE(dbls(cons(z0, z1))))
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ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
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ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
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ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c21(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1), ACTIVE(indx(cons(z0, z1), z2)))
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ACTIVE(indx(from(z0), x1)) → c21(INDX(mark(cons(z0, from(s(z0)))), x1), ACTIVE(from(z0)))
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ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1), ACTIVE(dbl1(0)))
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ACTIVE(indx(dbl1(s(z0)), x1)) → c21(INDX(mark(s1(s1(dbl1(z0)))), x1), ACTIVE(dbl1(s(z0))))
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ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
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ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
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ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1), ACTIVE(quote(0)))
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ACTIVE(indx(quote(s(z0)), x1)) → c21(INDX(mark(s1(quote(z0))), x1), ACTIVE(quote(s(z0))))
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ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
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ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
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ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
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ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
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ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
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ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
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ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
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ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
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ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
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ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
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ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
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ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
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ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
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ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
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ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
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ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
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ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
ACTIVE, DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, PROPER, S, CONS, FROM, TOP
Compound Symbols:
c5, c12, c15, c16, c19, c20, c22, c23, c24, c25, c26, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c45, c47, c48, c50, c51, c52, c53, c54, c56, c57, c58, c59, c60, c61, c62, c63, c8, c, c17, c17, c1, c18, c18, c2, c21, c21
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(23) CdtGraphSplitRhsProof (BOTH BOUNDS(ID, ID) transformation)
Split RHS of tuples not part of any SCC
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(24) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
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active(dbl(s(z0))) → mark(s(s(dbl(z0))))
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active(dbls(nil)) → mark(nil)
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active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
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active(sel(0, cons(z0, z1))) → mark(z0)
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active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
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active(indx(nil, z0)) → mark(nil)
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active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
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active(from(z0)) → mark(cons(z0, from(s(z0))))
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active(dbl1(0)) → mark(01)
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active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
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active(sel1(0, cons(z0, z1))) → mark(z0)
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active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
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active(quote(0)) → mark(01)
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active(quote(s(z0))) → mark(s1(quote(z0)))
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active(quote(dbl(z0))) → mark(dbl1(z0))
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active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
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active(dbl(z0)) → dbl(active(z0))
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active(dbls(z0)) → dbls(active(z0))
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active(sel(z0, z1)) → sel(active(z0), z1)
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active(sel(z0, z1)) → sel(z0, active(z1))
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active(indx(z0, z1)) → indx(active(z0), z1)
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active(dbl1(z0)) → dbl1(active(z0))
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active(s1(z0)) → s1(active(z0))
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active(sel1(z0, z1)) → sel1(active(z0), z1)
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active(sel1(z0, z1)) → sel1(z0, active(z1))
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active(quote(z0)) → quote(active(z0))
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dbl(mark(z0)) → mark(dbl(z0))
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dbl(ok(z0)) → ok(dbl(z0))
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dbls(mark(z0)) → mark(dbls(z0))
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dbls(ok(z0)) → ok(dbls(z0))
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sel(mark(z0), z1) → mark(sel(z0, z1))
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sel(z0, mark(z1)) → mark(sel(z0, z1))
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sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
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indx(mark(z0), z1) → mark(indx(z0, z1))
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indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
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dbl1(mark(z0)) → mark(dbl1(z0))
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dbl1(ok(z0)) → ok(dbl1(z0))
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s1(mark(z0)) → mark(s1(z0))
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s1(ok(z0)) → ok(s1(z0))
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sel1(mark(z0), z1) → mark(sel1(z0, z1))
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sel1(z0, mark(z1)) → mark(sel1(z0, z1))
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sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
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quote(mark(z0)) → mark(quote(z0))
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quote(ok(z0)) → ok(quote(z0))
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proper(dbl(z0)) → dbl(proper(z0))
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proper(0) → ok(0)
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proper(s(z0)) → s(proper(z0))
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proper(dbls(z0)) → dbls(proper(z0))
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proper(nil) → ok(nil)
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proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
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proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
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proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
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proper(from(z0)) → from(proper(z0))
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proper(dbl1(z0)) → dbl1(proper(z0))
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proper(01) → ok(01)
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proper(s1(z0)) → s1(proper(z0))
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proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
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proper(quote(z0)) → quote(proper(z0))
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s(ok(z0)) → ok(s(z0))
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cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
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from(ok(z0)) → ok(from(z0))
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top(mark(z0)) → top(proper(z0))
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top(ok(z0)) → top(active(z0))
Tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
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ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
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ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
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ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
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ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
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ACTIVE(dbl1(z0)) → c22(DBL1(active(z0)), ACTIVE(z0))
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ACTIVE(s1(z0)) → c23(S1(active(z0)), ACTIVE(z0))
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ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
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ACTIVE(quote(z0)) → c26(QUOTE(active(z0)), ACTIVE(z0))
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DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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PROPER(dbl(z0)) → c45(DBL(proper(z0)), PROPER(z0))
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PROPER(s(z0)) → c47(S(proper(z0)), PROPER(z0))
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PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
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PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
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PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
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PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
417.48/126.66
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
417.48/126.66
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
417.48/126.66
S(ok(z0)) → c59(S(z0))
417.48/126.66
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
417.48/126.66
FROM(ok(z0)) → c61(FROM(z0))
417.48/126.66
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
417.48/126.66
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
417.48/126.66
ACTIVE(from(z0)) → c8(S(z0))
417.48/126.66
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
417.48/126.66
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
417.48/126.66
ACTIVE(dbl(s(z0))) → c(DBL(z0))
417.48/126.66
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
417.48/126.66
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
417.48/126.66
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
417.48/126.66
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
417.48/126.66
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
417.48/126.66
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
417.48/126.66
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
417.48/126.66
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
417.48/126.66
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
417.48/126.66
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
417.48/126.66
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
417.48/126.66
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
417.48/126.66
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
417.48/126.66
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)), ACTIVE(dbl1(0)))
417.48/126.66
ACTIVE(dbl(dbl1(s(z0)))) → c17(DBL(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
417.48/126.66
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
417.48/126.66
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
417.48/126.66
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)), ACTIVE(quote(0)))
417.48/126.66
ACTIVE(dbl(quote(s(z0)))) → c17(DBL(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
417.48/126.66
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
417.48/126.66
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
417.48/126.66
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
417.48/126.66
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
417.48/126.66
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
417.48/126.66
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
417.48/126.66
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
417.48/126.66
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
417.48/126.66
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
417.48/126.66
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
417.48/126.66
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
417.48/126.66
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
417.48/126.66
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
417.48/126.66
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
417.48/126.66
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
417.48/126.66
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
417.48/126.66
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
417.48/126.66
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
417.48/126.66
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
417.48/126.66
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)), ACTIVE(dbl1(0)))
417.48/126.66
ACTIVE(dbls(dbl1(s(z0)))) → c18(DBLS(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
417.48/126.66
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
417.48/126.66
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
417.48/126.66
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)), ACTIVE(quote(0)))
417.48/126.66
ACTIVE(dbls(quote(s(z0)))) → c18(DBLS(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
417.48/126.66
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
417.48/126.66
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
417.48/126.66
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
417.48/126.66
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
417.48/126.66
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
417.48/126.66
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
417.48/126.66
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
417.48/126.66
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
417.48/126.66
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
417.48/126.66
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
417.48/126.66
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
417.48/126.66
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
417.48/126.66
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
417.48/126.66
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
417.48/126.66
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
417.48/126.66
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
417.48/126.66
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
417.48/126.66
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
417.48/126.66
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
417.48/126.66
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
417.48/126.66
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
417.48/126.66
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
417.48/126.66
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
417.48/126.66
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
417.48/126.66
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
417.48/126.66
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1), ACTIVE(dbl1(0)))
417.48/126.66
ACTIVE(indx(dbl1(s(z0)), x1)) → c21(INDX(mark(s1(s1(dbl1(z0)))), x1), ACTIVE(dbl1(s(z0))))
417.48/126.66
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
417.48/126.66
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
417.48/126.66
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1), ACTIVE(quote(0)))
417.48/126.66
ACTIVE(indx(quote(s(z0)), x1)) → c21(INDX(mark(s1(quote(z0))), x1), ACTIVE(quote(s(z0))))
417.48/126.66
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
417.48/126.66
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
417.48/126.66
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
417.48/126.66
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
417.48/126.66
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
417.48/126.66
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
417.48/126.66
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
417.48/126.66
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
417.48/126.66
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
417.48/126.66
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
417.48/126.66
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
417.48/126.66
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
417.48/126.66
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
417.48/126.66
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
417.48/126.66
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
417.48/126.66
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
417.48/126.66
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
417.48/126.66
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
417.48/126.66
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
417.48/126.66
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
417.48/126.66
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
417.48/126.66
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
417.48/126.66
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
417.48/126.66
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
417.48/126.66
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
417.48/126.66
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
417.48/126.66
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
417.48/126.66
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
417.48/126.66
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
S tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
417.48/126.66
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
417.48/126.66
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
417.48/126.66
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
417.48/126.66
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
417.48/126.66
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
417.48/126.66
ACTIVE(dbl1(z0)) → c22(DBL1(active(z0)), ACTIVE(z0))
417.48/126.66
ACTIVE(s1(z0)) → c23(S1(active(z0)), ACTIVE(z0))
417.48/126.66
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
417.48/126.66
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
417.48/126.66
ACTIVE(quote(z0)) → c26(QUOTE(active(z0)), ACTIVE(z0))
417.48/126.66
DBL(mark(z0)) → c27(DBL(z0))
417.48/126.66
DBL(ok(z0)) → c28(DBL(z0))
417.48/126.66
DBLS(mark(z0)) → c29(DBLS(z0))
417.48/126.66
DBLS(ok(z0)) → c30(DBLS(z0))
417.48/126.66
SEL(mark(z0), z1) → c31(SEL(z0, z1))
417.48/126.66
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
417.48/126.66
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
417.48/126.66
INDX(mark(z0), z1) → c34(INDX(z0, z1))
417.48/126.66
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
417.48/126.66
DBL1(mark(z0)) → c36(DBL1(z0))
417.48/126.66
DBL1(ok(z0)) → c37(DBL1(z0))
417.48/126.66
S1(mark(z0)) → c38(S1(z0))
417.48/126.66
S1(ok(z0)) → c39(S1(z0))
417.48/126.66
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
417.48/126.66
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
417.48/126.66
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
417.48/126.66
QUOTE(mark(z0)) → c43(QUOTE(z0))
417.48/126.66
QUOTE(ok(z0)) → c44(QUOTE(z0))
417.48/126.66
PROPER(dbl(z0)) → c45(DBL(proper(z0)), PROPER(z0))
417.48/126.66
PROPER(s(z0)) → c47(S(proper(z0)), PROPER(z0))
417.48/126.66
PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
417.48/126.66
PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
417.48/126.66
PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
417.48/126.66
PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
417.48/126.66
PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
417.48/126.66
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
417.48/126.66
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
417.48/126.66
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
417.48/126.66
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
417.48/126.66
S(ok(z0)) → c59(S(z0))
417.48/126.66
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
417.48/126.66
FROM(ok(z0)) → c61(FROM(z0))
417.48/126.66
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
417.48/126.66
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
417.48/126.66
ACTIVE(from(z0)) → c8(S(z0))
417.48/126.66
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
417.48/126.66
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
417.48/126.66
ACTIVE(dbl(s(z0))) → c(DBL(z0))
417.48/126.66
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
417.48/126.66
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
417.48/126.66
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
417.48/126.66
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
417.48/126.66
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
417.48/126.66
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
417.48/126.66
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
417.48/126.66
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
417.48/126.66
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
417.48/126.66
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
417.48/126.66
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
417.48/126.66
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
417.48/126.66
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
417.48/126.66
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)), ACTIVE(dbl1(0)))
417.48/126.66
ACTIVE(dbl(dbl1(s(z0)))) → c17(DBL(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
417.48/126.66
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
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ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
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ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)), ACTIVE(quote(0)))
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ACTIVE(dbl(quote(s(z0)))) → c17(DBL(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
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ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
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ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
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ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
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ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
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ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
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ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
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ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
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ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
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ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
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ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
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ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
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ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
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ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
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ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
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ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
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ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
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ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
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ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)), ACTIVE(dbl1(0)))
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ACTIVE(dbls(dbl1(s(z0)))) → c18(DBLS(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
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ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
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ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
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ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)), ACTIVE(quote(0)))
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ACTIVE(dbls(quote(s(z0)))) → c18(DBLS(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
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ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
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ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
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ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
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ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
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ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
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ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
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ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
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ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
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ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
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ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
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ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
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ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
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ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
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ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
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ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
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ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
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ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
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ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
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ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
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ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
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ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
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ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
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ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
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ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1), ACTIVE(dbl1(0)))
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ACTIVE(indx(dbl1(s(z0)), x1)) → c21(INDX(mark(s1(s1(dbl1(z0)))), x1), ACTIVE(dbl1(s(z0))))
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ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
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ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
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ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1), ACTIVE(quote(0)))
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ACTIVE(indx(quote(s(z0)), x1)) → c21(INDX(mark(s1(quote(z0))), x1), ACTIVE(quote(s(z0))))
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ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
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ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
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ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
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ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
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ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
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ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
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ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
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ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
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ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
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ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
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ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
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ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
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ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
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ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
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ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
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ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
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ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
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ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
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ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
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ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
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ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
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ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
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ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
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ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
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ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
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ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
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ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
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ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
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ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
ACTIVE, DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, PROPER, S, CONS, FROM, TOP
Compound Symbols:
c5, c12, c15, c16, c19, c20, c22, c23, c24, c25, c26, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c45, c47, c48, c50, c51, c52, c53, c54, c56, c57, c58, c59, c60, c61, c62, c63, c8, c, c17, c17, c1, c18, c18, c2, c21, c21, c3
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(25) CdtNarrowingProof (BOTH BOUNDS(ID, ID) transformation)
Use narrowing to replace
ACTIVE(
dbl1(
z0)) →
c22(
DBL1(
active(
z0)),
ACTIVE(
z0)) by
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)), ACTIVE(dbl(0)))
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ACTIVE(dbl1(dbl(s(z0)))) → c22(DBL1(mark(s(s(dbl(z0))))), ACTIVE(dbl(s(z0))))
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ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)), ACTIVE(dbls(nil)))
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ACTIVE(dbl1(dbls(cons(z0, z1)))) → c22(DBL1(mark(cons(dbl(z0), dbls(z1)))), ACTIVE(dbls(cons(z0, z1))))
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ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
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ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
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ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)), ACTIVE(indx(nil, z0)))
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ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c22(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))), ACTIVE(indx(cons(z0, z1), z2)))
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ACTIVE(dbl1(from(z0))) → c22(DBL1(mark(cons(z0, from(s(z0))))), ACTIVE(from(z0)))
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ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)), ACTIVE(dbl1(0)))
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ACTIVE(dbl1(dbl1(s(z0)))) → c22(DBL1(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
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ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
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ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
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ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)), ACTIVE(quote(0)))
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ACTIVE(dbl1(quote(s(z0)))) → c22(DBL1(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
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ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
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ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
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ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
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ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
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ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
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ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
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ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
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ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
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ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
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ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
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(26) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
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active(dbl(s(z0))) → mark(s(s(dbl(z0))))
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active(dbls(nil)) → mark(nil)
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active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
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active(sel(0, cons(z0, z1))) → mark(z0)
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active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
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active(indx(nil, z0)) → mark(nil)
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active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
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active(from(z0)) → mark(cons(z0, from(s(z0))))
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active(dbl1(0)) → mark(01)
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active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
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active(sel1(0, cons(z0, z1))) → mark(z0)
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active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
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active(quote(0)) → mark(01)
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active(quote(s(z0))) → mark(s1(quote(z0)))
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active(quote(dbl(z0))) → mark(dbl1(z0))
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active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
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active(dbl(z0)) → dbl(active(z0))
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active(dbls(z0)) → dbls(active(z0))
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active(sel(z0, z1)) → sel(active(z0), z1)
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active(sel(z0, z1)) → sel(z0, active(z1))
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active(indx(z0, z1)) → indx(active(z0), z1)
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active(dbl1(z0)) → dbl1(active(z0))
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active(s1(z0)) → s1(active(z0))
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active(sel1(z0, z1)) → sel1(active(z0), z1)
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active(sel1(z0, z1)) → sel1(z0, active(z1))
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active(quote(z0)) → quote(active(z0))
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dbl(mark(z0)) → mark(dbl(z0))
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dbl(ok(z0)) → ok(dbl(z0))
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dbls(mark(z0)) → mark(dbls(z0))
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dbls(ok(z0)) → ok(dbls(z0))
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sel(mark(z0), z1) → mark(sel(z0, z1))
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sel(z0, mark(z1)) → mark(sel(z0, z1))
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sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
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indx(mark(z0), z1) → mark(indx(z0, z1))
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indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
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dbl1(mark(z0)) → mark(dbl1(z0))
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dbl1(ok(z0)) → ok(dbl1(z0))
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s1(mark(z0)) → mark(s1(z0))
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s1(ok(z0)) → ok(s1(z0))
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sel1(mark(z0), z1) → mark(sel1(z0, z1))
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sel1(z0, mark(z1)) → mark(sel1(z0, z1))
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sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
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quote(mark(z0)) → mark(quote(z0))
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quote(ok(z0)) → ok(quote(z0))
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proper(dbl(z0)) → dbl(proper(z0))
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proper(0) → ok(0)
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proper(s(z0)) → s(proper(z0))
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proper(dbls(z0)) → dbls(proper(z0))
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proper(nil) → ok(nil)
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proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
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proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
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proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
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proper(from(z0)) → from(proper(z0))
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proper(dbl1(z0)) → dbl1(proper(z0))
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proper(01) → ok(01)
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proper(s1(z0)) → s1(proper(z0))
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proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
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proper(quote(z0)) → quote(proper(z0))
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s(ok(z0)) → ok(s(z0))
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cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
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from(ok(z0)) → ok(from(z0))
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top(mark(z0)) → top(proper(z0))
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top(ok(z0)) → top(active(z0))
Tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
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ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
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ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
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ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
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ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
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ACTIVE(s1(z0)) → c23(S1(active(z0)), ACTIVE(z0))
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ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
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ACTIVE(quote(z0)) → c26(QUOTE(active(z0)), ACTIVE(z0))
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DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
417.48/126.69
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
417.48/126.69
QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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PROPER(dbl(z0)) → c45(DBL(proper(z0)), PROPER(z0))
417.48/126.70
PROPER(s(z0)) → c47(S(proper(z0)), PROPER(z0))
417.48/126.70
PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
417.48/126.70
PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
417.48/126.70
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
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PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
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PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
417.48/126.70
S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
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TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
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TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
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ACTIVE(from(z0)) → c8(S(z0))
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ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
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ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
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ACTIVE(dbl(s(z0))) → c(DBL(z0))
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ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
417.48/126.70
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
417.48/126.70
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
417.48/126.70
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
417.48/126.70
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
417.48/126.70
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
417.48/126.70
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
417.48/126.70
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
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ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
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ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
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ACTIVE(quote(s(z0))) → c(QUOTE(z0))
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ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
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ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
417.48/126.70
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)), ACTIVE(dbl1(0)))
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ACTIVE(dbl(dbl1(s(z0)))) → c17(DBL(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
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ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
417.48/126.70
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
417.48/126.70
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)), ACTIVE(quote(0)))
417.48/126.70
ACTIVE(dbl(quote(s(z0)))) → c17(DBL(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
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ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
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ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
417.48/126.70
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
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ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
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ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
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ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
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ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
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ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
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ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
417.48/126.70
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
417.48/126.70
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
417.48/126.70
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
417.48/126.70
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
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ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
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ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
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ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
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ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
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ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
417.48/126.70
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
417.48/126.70
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)), ACTIVE(dbl1(0)))
417.48/126.70
ACTIVE(dbls(dbl1(s(z0)))) → c18(DBLS(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
417.48/126.70
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
417.48/126.70
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
417.48/126.70
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)), ACTIVE(quote(0)))
417.48/126.70
ACTIVE(dbls(quote(s(z0)))) → c18(DBLS(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
417.48/126.70
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
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ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
417.48/126.70
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
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ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
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ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
417.48/126.70
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
417.48/126.70
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
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ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
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ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
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ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
417.48/126.70
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
417.48/126.70
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
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ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
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ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
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ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
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ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
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ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
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ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
417.48/126.70
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
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ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
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ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
417.48/126.70
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
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ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
417.48/126.70
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
417.48/126.70
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
417.48/126.70
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1), ACTIVE(dbl1(0)))
417.48/126.70
ACTIVE(indx(dbl1(s(z0)), x1)) → c21(INDX(mark(s1(s1(dbl1(z0)))), x1), ACTIVE(dbl1(s(z0))))
417.48/126.70
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
417.48/126.70
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
417.48/126.70
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1), ACTIVE(quote(0)))
417.48/126.70
ACTIVE(indx(quote(s(z0)), x1)) → c21(INDX(mark(s1(quote(z0))), x1), ACTIVE(quote(s(z0))))
417.48/126.70
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
417.48/126.70
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
417.48/126.70
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
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ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
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ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
417.48/126.70
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
417.48/126.70
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
417.48/126.70
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
417.48/126.70
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
417.48/126.70
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
417.48/126.70
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
417.48/126.70
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
417.48/126.70
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
417.48/126.70
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
417.48/126.70
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
417.48/126.70
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
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ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
417.48/126.70
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
417.48/126.70
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
417.48/126.70
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
417.48/126.70
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
417.48/126.70
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
417.48/126.70
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
417.48/126.70
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
417.48/126.70
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
417.48/126.70
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
417.48/126.70
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
418.99/127.04
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
418.99/127.04
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
418.99/127.04
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)), ACTIVE(dbl(0)))
418.99/127.04
ACTIVE(dbl1(dbl(s(z0)))) → c22(DBL1(mark(s(s(dbl(z0))))), ACTIVE(dbl(s(z0))))
418.99/127.04
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)), ACTIVE(dbls(nil)))
418.99/127.04
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c22(DBL1(mark(cons(dbl(z0), dbls(z1)))), ACTIVE(dbls(cons(z0, z1))))
418.99/127.04
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
418.99/127.06
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
418.99/127.06
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)), ACTIVE(indx(nil, z0)))
418.99/127.06
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c22(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))), ACTIVE(indx(cons(z0, z1), z2)))
418.99/127.06
ACTIVE(dbl1(from(z0))) → c22(DBL1(mark(cons(z0, from(s(z0))))), ACTIVE(from(z0)))
418.99/127.06
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)), ACTIVE(dbl1(0)))
418.99/127.06
ACTIVE(dbl1(dbl1(s(z0)))) → c22(DBL1(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
418.99/127.06
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
418.99/127.06
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
418.99/127.06
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)), ACTIVE(quote(0)))
418.99/127.06
ACTIVE(dbl1(quote(s(z0)))) → c22(DBL1(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
418.99/127.06
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
418.99/127.06
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
418.99/127.06
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
418.99/127.06
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
418.99/127.06
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
418.99/127.06
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
418.99/127.06
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
418.99/127.06
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
418.99/127.06
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
418.99/127.06
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
418.99/127.06
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
418.99/127.06
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
S tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
418.99/127.06
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
418.99/127.06
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
418.99/127.06
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
418.99/127.06
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
418.99/127.06
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
418.99/127.06
ACTIVE(s1(z0)) → c23(S1(active(z0)), ACTIVE(z0))
418.99/127.06
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
418.99/127.06
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
418.99/127.06
ACTIVE(quote(z0)) → c26(QUOTE(active(z0)), ACTIVE(z0))
418.99/127.06
DBL(mark(z0)) → c27(DBL(z0))
418.99/127.06
DBL(ok(z0)) → c28(DBL(z0))
418.99/127.06
DBLS(mark(z0)) → c29(DBLS(z0))
418.99/127.06
DBLS(ok(z0)) → c30(DBLS(z0))
418.99/127.06
SEL(mark(z0), z1) → c31(SEL(z0, z1))
418.99/127.06
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
418.99/127.06
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
418.99/127.06
INDX(mark(z0), z1) → c34(INDX(z0, z1))
418.99/127.06
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
418.99/127.06
DBL1(mark(z0)) → c36(DBL1(z0))
418.99/127.06
DBL1(ok(z0)) → c37(DBL1(z0))
418.99/127.06
S1(mark(z0)) → c38(S1(z0))
418.99/127.06
S1(ok(z0)) → c39(S1(z0))
418.99/127.06
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
418.99/127.06
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
418.99/127.06
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
418.99/127.06
QUOTE(mark(z0)) → c43(QUOTE(z0))
418.99/127.06
QUOTE(ok(z0)) → c44(QUOTE(z0))
418.99/127.06
PROPER(dbl(z0)) → c45(DBL(proper(z0)), PROPER(z0))
418.99/127.06
PROPER(s(z0)) → c47(S(proper(z0)), PROPER(z0))
418.99/127.06
PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
418.99/127.06
PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
418.99/127.06
PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
418.99/127.06
PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
418.99/127.06
PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
418.99/127.06
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
418.99/127.06
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
418.99/127.06
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
418.99/127.06
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
418.99/127.06
S(ok(z0)) → c59(S(z0))
418.99/127.06
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
418.99/127.06
FROM(ok(z0)) → c61(FROM(z0))
418.99/127.06
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
418.99/127.06
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
418.99/127.06
ACTIVE(from(z0)) → c8(S(z0))
418.99/127.06
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
418.99/127.06
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
418.99/127.06
ACTIVE(dbl(s(z0))) → c(DBL(z0))
418.99/127.06
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
418.99/127.06
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
418.99/127.06
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
418.99/127.06
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
418.99/127.06
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
418.99/127.06
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
418.99/127.06
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
418.99/127.06
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
418.99/127.06
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
418.99/127.06
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
418.99/127.06
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
418.99/127.06
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
418.99/127.06
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
418.99/127.06
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)), ACTIVE(dbl1(0)))
418.99/127.06
ACTIVE(dbl(dbl1(s(z0)))) → c17(DBL(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
418.99/127.06
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
418.99/127.06
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
418.99/127.06
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)), ACTIVE(quote(0)))
418.99/127.06
ACTIVE(dbl(quote(s(z0)))) → c17(DBL(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
418.99/127.06
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
418.99/127.06
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
418.99/127.06
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
418.99/127.06
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
418.99/127.06
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
418.99/127.06
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
418.99/127.06
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
418.99/127.06
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
418.99/127.06
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
418.99/127.06
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
418.99/127.06
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
418.99/127.06
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
418.99/127.06
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
418.99/127.06
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
418.99/127.06
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
418.99/127.06
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
418.99/127.06
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
418.99/127.06
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
418.99/127.06
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
418.99/127.06
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)), ACTIVE(dbl1(0)))
418.99/127.06
ACTIVE(dbls(dbl1(s(z0)))) → c18(DBLS(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
418.99/127.06
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
418.99/127.06
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
418.99/127.06
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)), ACTIVE(quote(0)))
418.99/127.06
ACTIVE(dbls(quote(s(z0)))) → c18(DBLS(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
418.99/127.06
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
418.99/127.06
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
418.99/127.06
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
418.99/127.06
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
418.99/127.06
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
418.99/127.06
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
418.99/127.06
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
418.99/127.06
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
418.99/127.06
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
418.99/127.06
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
418.99/127.06
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
418.99/127.06
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
418.99/127.06
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
418.99/127.06
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
418.99/127.06
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
418.99/127.06
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
418.99/127.06
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
418.99/127.06
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
418.99/127.06
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
418.99/127.06
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
418.99/127.06
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
418.99/127.06
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
418.99/127.06
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
418.99/127.06
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
418.99/127.06
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
418.99/127.06
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1), ACTIVE(dbl1(0)))
418.99/127.06
ACTIVE(indx(dbl1(s(z0)), x1)) → c21(INDX(mark(s1(s1(dbl1(z0)))), x1), ACTIVE(dbl1(s(z0))))
418.99/127.06
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
418.99/127.06
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
418.99/127.06
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1), ACTIVE(quote(0)))
418.99/127.06
ACTIVE(indx(quote(s(z0)), x1)) → c21(INDX(mark(s1(quote(z0))), x1), ACTIVE(quote(s(z0))))
418.99/127.06
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
418.99/127.06
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
418.99/127.06
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
418.99/127.06
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
418.99/127.06
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
418.99/127.06
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
418.99/127.06
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
418.99/127.06
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
418.99/127.06
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
418.99/127.06
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
418.99/127.06
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
418.99/127.06
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
418.99/127.06
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
418.99/127.06
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
418.99/127.06
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
418.99/127.06
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
418.99/127.06
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
418.99/127.06
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
418.99/127.06
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
418.99/127.06
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
418.99/127.06
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
418.99/127.06
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
418.99/127.06
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
418.99/127.06
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
418.99/127.06
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
418.99/127.06
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
418.99/127.06
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
418.99/127.06
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
418.99/127.06
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
418.99/127.06
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)), ACTIVE(dbl(0)))
418.99/127.06
ACTIVE(dbl1(dbl(s(z0)))) → c22(DBL1(mark(s(s(dbl(z0))))), ACTIVE(dbl(s(z0))))
418.99/127.06
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)), ACTIVE(dbls(nil)))
418.99/127.06
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c22(DBL1(mark(cons(dbl(z0), dbls(z1)))), ACTIVE(dbls(cons(z0, z1))))
418.99/127.06
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
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ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
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ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)), ACTIVE(indx(nil, z0)))
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ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c22(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))), ACTIVE(indx(cons(z0, z1), z2)))
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ACTIVE(dbl1(from(z0))) → c22(DBL1(mark(cons(z0, from(s(z0))))), ACTIVE(from(z0)))
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ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)), ACTIVE(dbl1(0)))
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ACTIVE(dbl1(dbl1(s(z0)))) → c22(DBL1(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
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ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
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ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
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ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)), ACTIVE(quote(0)))
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ACTIVE(dbl1(quote(s(z0)))) → c22(DBL1(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
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ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
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ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
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ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
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ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
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ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
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ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
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ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
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ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
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ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
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ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
ACTIVE, DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, PROPER, S, CONS, FROM, TOP
Compound Symbols:
c5, c12, c15, c16, c19, c20, c23, c24, c25, c26, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c45, c47, c48, c50, c51, c52, c53, c54, c56, c57, c58, c59, c60, c61, c62, c63, c8, c, c17, c17, c1, c18, c18, c2, c21, c21, c3, c22
418.99/127.06
418.99/127.06
(27) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID) transformation)
Removed 7 trailing tuple parts
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(28) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
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active(dbl(s(z0))) → mark(s(s(dbl(z0))))
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active(dbls(nil)) → mark(nil)
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active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
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active(sel(0, cons(z0, z1))) → mark(z0)
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active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
418.99/127.06
active(indx(nil, z0)) → mark(nil)
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active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
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active(from(z0)) → mark(cons(z0, from(s(z0))))
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active(dbl1(0)) → mark(01)
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active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
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active(sel1(0, cons(z0, z1))) → mark(z0)
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active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
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active(quote(0)) → mark(01)
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active(quote(s(z0))) → mark(s1(quote(z0)))
418.99/127.06
active(quote(dbl(z0))) → mark(dbl1(z0))
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active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
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active(dbl(z0)) → dbl(active(z0))
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active(dbls(z0)) → dbls(active(z0))
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active(sel(z0, z1)) → sel(active(z0), z1)
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active(sel(z0, z1)) → sel(z0, active(z1))
418.99/127.06
active(indx(z0, z1)) → indx(active(z0), z1)
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active(dbl1(z0)) → dbl1(active(z0))
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active(s1(z0)) → s1(active(z0))
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active(sel1(z0, z1)) → sel1(active(z0), z1)
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active(sel1(z0, z1)) → sel1(z0, active(z1))
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active(quote(z0)) → quote(active(z0))
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dbl(mark(z0)) → mark(dbl(z0))
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dbl(ok(z0)) → ok(dbl(z0))
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dbls(mark(z0)) → mark(dbls(z0))
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dbls(ok(z0)) → ok(dbls(z0))
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sel(mark(z0), z1) → mark(sel(z0, z1))
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sel(z0, mark(z1)) → mark(sel(z0, z1))
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sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
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indx(mark(z0), z1) → mark(indx(z0, z1))
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indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
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dbl1(mark(z0)) → mark(dbl1(z0))
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dbl1(ok(z0)) → ok(dbl1(z0))
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s1(mark(z0)) → mark(s1(z0))
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s1(ok(z0)) → ok(s1(z0))
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sel1(mark(z0), z1) → mark(sel1(z0, z1))
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sel1(z0, mark(z1)) → mark(sel1(z0, z1))
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sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
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quote(mark(z0)) → mark(quote(z0))
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quote(ok(z0)) → ok(quote(z0))
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proper(dbl(z0)) → dbl(proper(z0))
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proper(0) → ok(0)
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proper(s(z0)) → s(proper(z0))
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proper(dbls(z0)) → dbls(proper(z0))
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proper(nil) → ok(nil)
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proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
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proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
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proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
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proper(from(z0)) → from(proper(z0))
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proper(dbl1(z0)) → dbl1(proper(z0))
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proper(01) → ok(01)
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proper(s1(z0)) → s1(proper(z0))
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proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
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proper(quote(z0)) → quote(proper(z0))
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s(ok(z0)) → ok(s(z0))
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cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
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from(ok(z0)) → ok(from(z0))
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top(mark(z0)) → top(proper(z0))
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top(ok(z0)) → top(active(z0))
Tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
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ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
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ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
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ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
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ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
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ACTIVE(s1(z0)) → c23(S1(active(z0)), ACTIVE(z0))
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ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
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ACTIVE(quote(z0)) → c26(QUOTE(active(z0)), ACTIVE(z0))
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DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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PROPER(dbl(z0)) → c45(DBL(proper(z0)), PROPER(z0))
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PROPER(s(z0)) → c47(S(proper(z0)), PROPER(z0))
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PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
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PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
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PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
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PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
418.99/127.06
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
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TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
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TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
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ACTIVE(from(z0)) → c8(S(z0))
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ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
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ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
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ACTIVE(dbl(s(z0))) → c(DBL(z0))
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ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
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ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
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ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
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ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
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ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
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ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
418.99/127.06
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
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ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
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ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
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ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
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ACTIVE(quote(s(z0))) → c(QUOTE(z0))
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ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
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ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
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ACTIVE(dbl(dbl1(s(z0)))) → c17(DBL(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
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ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
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ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
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ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)), ACTIVE(quote(0)))
418.99/127.06
ACTIVE(dbl(quote(s(z0)))) → c17(DBL(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
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ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
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ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
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ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
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ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
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ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
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ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
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ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
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ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
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ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
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ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
418.99/127.06
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
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ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
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ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
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ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
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ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
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ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
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ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
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ACTIVE(dbls(dbl1(s(z0)))) → c18(DBLS(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
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ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
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ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
418.99/127.06
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)), ACTIVE(quote(0)))
418.99/127.06
ACTIVE(dbls(quote(s(z0)))) → c18(DBLS(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
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ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
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ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
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ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
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ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
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ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
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ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
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ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
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ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
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ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
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ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
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ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
418.99/127.06
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
418.99/127.06
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
418.99/127.06
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
418.99/127.06
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
418.99/127.06
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
418.99/127.06
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
418.99/127.06
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
418.99/127.06
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
418.99/127.06
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
418.99/127.06
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
418.99/127.06
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
418.99/127.06
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
418.99/127.06
ACTIVE(indx(dbl1(s(z0)), x1)) → c21(INDX(mark(s1(s1(dbl1(z0)))), x1), ACTIVE(dbl1(s(z0))))
418.99/127.06
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
418.99/127.06
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
418.99/127.06
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1), ACTIVE(quote(0)))
418.99/127.06
ACTIVE(indx(quote(s(z0)), x1)) → c21(INDX(mark(s1(quote(z0))), x1), ACTIVE(quote(s(z0))))
418.99/127.06
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
418.99/127.06
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
418.99/127.06
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
418.99/127.06
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
418.99/127.06
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
418.99/127.06
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
418.99/127.06
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
418.99/127.06
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
418.99/127.06
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
418.99/127.06
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
418.99/127.06
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
418.99/127.06
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
418.99/127.06
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
418.99/127.06
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
418.99/127.06
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
418.99/127.06
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
418.99/127.06
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
418.99/127.06
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
418.99/127.06
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
418.99/127.06
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
418.99/127.06
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
418.99/127.06
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
418.99/127.06
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
418.99/127.06
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
418.99/127.06
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
418.99/127.06
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
418.99/127.06
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
418.99/127.06
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
418.99/127.06
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
418.99/127.06
ACTIVE(dbl1(dbl(s(z0)))) → c22(DBL1(mark(s(s(dbl(z0))))), ACTIVE(dbl(s(z0))))
418.99/127.06
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c22(DBL1(mark(cons(dbl(z0), dbls(z1)))), ACTIVE(dbls(cons(z0, z1))))
418.99/127.06
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
418.99/127.06
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
418.99/127.06
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c22(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))), ACTIVE(indx(cons(z0, z1), z2)))
418.99/127.06
ACTIVE(dbl1(from(z0))) → c22(DBL1(mark(cons(z0, from(s(z0))))), ACTIVE(from(z0)))
418.99/127.06
ACTIVE(dbl1(dbl1(s(z0)))) → c22(DBL1(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
418.99/127.06
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
418.99/127.06
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
418.99/127.06
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)), ACTIVE(quote(0)))
418.99/127.06
ACTIVE(dbl1(quote(s(z0)))) → c22(DBL1(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
418.99/127.06
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
418.99/127.06
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
418.99/127.06
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
418.99/127.06
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
418.99/127.06
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
418.99/127.06
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
418.99/127.06
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
418.99/127.06
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
418.99/127.06
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
418.99/127.06
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
418.99/127.07
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
418.99/127.07
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
418.99/127.07
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
418.99/127.07
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
418.99/127.07
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
418.99/127.07
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
418.99/127.07
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
418.99/127.07
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
418.99/127.07
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
S tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
418.99/127.07
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
418.99/127.07
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
418.99/127.07
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
418.99/127.07
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
418.99/127.07
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
418.99/127.07
ACTIVE(s1(z0)) → c23(S1(active(z0)), ACTIVE(z0))
418.99/127.07
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
418.99/127.07
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
418.99/127.07
ACTIVE(quote(z0)) → c26(QUOTE(active(z0)), ACTIVE(z0))
418.99/127.07
DBL(mark(z0)) → c27(DBL(z0))
418.99/127.07
DBL(ok(z0)) → c28(DBL(z0))
418.99/127.07
DBLS(mark(z0)) → c29(DBLS(z0))
418.99/127.07
DBLS(ok(z0)) → c30(DBLS(z0))
418.99/127.07
SEL(mark(z0), z1) → c31(SEL(z0, z1))
418.99/127.07
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
418.99/127.07
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
418.99/127.07
INDX(mark(z0), z1) → c34(INDX(z0, z1))
418.99/127.07
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
418.99/127.07
DBL1(mark(z0)) → c36(DBL1(z0))
418.99/127.07
DBL1(ok(z0)) → c37(DBL1(z0))
418.99/127.07
S1(mark(z0)) → c38(S1(z0))
418.99/127.07
S1(ok(z0)) → c39(S1(z0))
418.99/127.07
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
418.99/127.07
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
418.99/127.07
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
418.99/127.07
QUOTE(mark(z0)) → c43(QUOTE(z0))
418.99/127.07
QUOTE(ok(z0)) → c44(QUOTE(z0))
418.99/127.07
PROPER(dbl(z0)) → c45(DBL(proper(z0)), PROPER(z0))
418.99/127.07
PROPER(s(z0)) → c47(S(proper(z0)), PROPER(z0))
418.99/127.07
PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
418.99/127.07
PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
418.99/127.07
PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
418.99/127.07
PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
418.99/127.07
PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
418.99/127.07
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
418.99/127.07
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
418.99/127.07
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
418.99/127.07
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
418.99/127.07
S(ok(z0)) → c59(S(z0))
418.99/127.07
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
418.99/127.07
FROM(ok(z0)) → c61(FROM(z0))
418.99/127.07
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
418.99/127.07
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
418.99/127.07
ACTIVE(from(z0)) → c8(S(z0))
418.99/127.07
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
418.99/127.07
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
418.99/127.07
ACTIVE(dbl(s(z0))) → c(DBL(z0))
418.99/127.07
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
418.99/127.07
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
418.99/127.07
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
418.99/127.07
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
418.99/127.07
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
418.99/127.07
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
418.99/127.07
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
418.99/127.07
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
418.99/127.07
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
418.99/127.07
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
418.99/127.07
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
418.99/127.07
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
418.99/127.07
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
418.99/127.07
ACTIVE(dbl(dbl1(s(z0)))) → c17(DBL(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
418.99/127.07
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
418.99/127.07
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
418.99/127.07
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)), ACTIVE(quote(0)))
418.99/127.07
ACTIVE(dbl(quote(s(z0)))) → c17(DBL(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
418.99/127.07
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
418.99/127.07
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
418.99/127.07
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
418.99/127.07
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
418.99/127.07
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
418.99/127.07
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
418.99/127.07
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
418.99/127.07
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
418.99/127.07
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
418.99/127.07
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
418.99/127.07
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
418.99/127.07
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
418.99/127.07
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
418.99/127.07
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
418.99/127.07
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
418.99/127.07
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
418.99/127.07
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
418.99/127.07
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
418.99/127.07
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
418.99/127.07
ACTIVE(dbls(dbl1(s(z0)))) → c18(DBLS(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
418.99/127.07
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
418.99/127.07
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
418.99/127.07
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)), ACTIVE(quote(0)))
418.99/127.07
ACTIVE(dbls(quote(s(z0)))) → c18(DBLS(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
418.99/127.07
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
418.99/127.07
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
418.99/127.07
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
418.99/127.07
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
418.99/127.07
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
418.99/127.07
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
418.99/127.07
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
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ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
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ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
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ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
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ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
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ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
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ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
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ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
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ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
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ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
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ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
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ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
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ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
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ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
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ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
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ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
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ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
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ACTIVE(indx(dbl1(s(z0)), x1)) → c21(INDX(mark(s1(s1(dbl1(z0)))), x1), ACTIVE(dbl1(s(z0))))
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ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
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ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
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ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1), ACTIVE(quote(0)))
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ACTIVE(indx(quote(s(z0)), x1)) → c21(INDX(mark(s1(quote(z0))), x1), ACTIVE(quote(s(z0))))
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ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
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ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
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ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
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ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
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ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
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ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
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ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
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ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
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ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
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ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
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ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
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ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
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ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
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ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
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ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
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ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
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ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
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ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
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ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
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ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
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ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
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ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
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ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
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ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
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ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
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ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
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ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
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ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
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ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
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ACTIVE(dbl1(dbl(s(z0)))) → c22(DBL1(mark(s(s(dbl(z0))))), ACTIVE(dbl(s(z0))))
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ACTIVE(dbl1(dbls(cons(z0, z1)))) → c22(DBL1(mark(cons(dbl(z0), dbls(z1)))), ACTIVE(dbls(cons(z0, z1))))
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ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
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ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
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ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c22(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))), ACTIVE(indx(cons(z0, z1), z2)))
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ACTIVE(dbl1(from(z0))) → c22(DBL1(mark(cons(z0, from(s(z0))))), ACTIVE(from(z0)))
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ACTIVE(dbl1(dbl1(s(z0)))) → c22(DBL1(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
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ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
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ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
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ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)), ACTIVE(quote(0)))
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ACTIVE(dbl1(quote(s(z0)))) → c22(DBL1(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
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ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
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ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
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ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
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ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
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ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
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ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
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ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
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ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
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ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
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ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
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ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
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ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
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ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
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ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
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ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
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ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
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ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
ACTIVE, DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, PROPER, S, CONS, FROM, TOP
Compound Symbols:
c5, c12, c15, c16, c19, c20, c23, c24, c25, c26, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c45, c47, c48, c50, c51, c52, c53, c54, c56, c57, c58, c59, c60, c61, c62, c63, c8, c, c17, c17, c1, c18, c18, c2, c21, c21, c3, c22, c22
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(29) CdtGraphSplitRhsProof (BOTH BOUNDS(ID, ID) transformation)
Split RHS of tuples not part of any SCC
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(30) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
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active(dbl(s(z0))) → mark(s(s(dbl(z0))))
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active(dbls(nil)) → mark(nil)
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active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
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active(sel(0, cons(z0, z1))) → mark(z0)
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active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
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active(indx(nil, z0)) → mark(nil)
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active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
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active(from(z0)) → mark(cons(z0, from(s(z0))))
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active(dbl1(0)) → mark(01)
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active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
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active(sel1(0, cons(z0, z1))) → mark(z0)
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active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
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active(quote(0)) → mark(01)
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active(quote(s(z0))) → mark(s1(quote(z0)))
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active(quote(dbl(z0))) → mark(dbl1(z0))
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active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
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active(dbl(z0)) → dbl(active(z0))
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active(dbls(z0)) → dbls(active(z0))
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active(sel(z0, z1)) → sel(active(z0), z1)
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active(sel(z0, z1)) → sel(z0, active(z1))
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active(indx(z0, z1)) → indx(active(z0), z1)
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active(dbl1(z0)) → dbl1(active(z0))
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active(s1(z0)) → s1(active(z0))
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active(sel1(z0, z1)) → sel1(active(z0), z1)
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active(sel1(z0, z1)) → sel1(z0, active(z1))
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active(quote(z0)) → quote(active(z0))
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dbl(mark(z0)) → mark(dbl(z0))
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dbl(ok(z0)) → ok(dbl(z0))
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dbls(mark(z0)) → mark(dbls(z0))
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dbls(ok(z0)) → ok(dbls(z0))
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sel(mark(z0), z1) → mark(sel(z0, z1))
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sel(z0, mark(z1)) → mark(sel(z0, z1))
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sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
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indx(mark(z0), z1) → mark(indx(z0, z1))
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indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
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dbl1(mark(z0)) → mark(dbl1(z0))
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dbl1(ok(z0)) → ok(dbl1(z0))
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s1(mark(z0)) → mark(s1(z0))
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s1(ok(z0)) → ok(s1(z0))
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sel1(mark(z0), z1) → mark(sel1(z0, z1))
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sel1(z0, mark(z1)) → mark(sel1(z0, z1))
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sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
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quote(mark(z0)) → mark(quote(z0))
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quote(ok(z0)) → ok(quote(z0))
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proper(dbl(z0)) → dbl(proper(z0))
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proper(0) → ok(0)
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proper(s(z0)) → s(proper(z0))
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proper(dbls(z0)) → dbls(proper(z0))
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proper(nil) → ok(nil)
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proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
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proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
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proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
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proper(from(z0)) → from(proper(z0))
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proper(dbl1(z0)) → dbl1(proper(z0))
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proper(01) → ok(01)
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proper(s1(z0)) → s1(proper(z0))
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proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
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proper(quote(z0)) → quote(proper(z0))
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s(ok(z0)) → ok(s(z0))
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cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
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from(ok(z0)) → ok(from(z0))
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top(mark(z0)) → top(proper(z0))
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top(ok(z0)) → top(active(z0))
Tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
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ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
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ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
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ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
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ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
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ACTIVE(s1(z0)) → c23(S1(active(z0)), ACTIVE(z0))
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ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
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ACTIVE(quote(z0)) → c26(QUOTE(active(z0)), ACTIVE(z0))
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DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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PROPER(dbl(z0)) → c45(DBL(proper(z0)), PROPER(z0))
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PROPER(s(z0)) → c47(S(proper(z0)), PROPER(z0))
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PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
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PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
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PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
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PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
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PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
418.99/127.07
S(ok(z0)) → c59(S(z0))
418.99/127.07
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
418.99/127.07
FROM(ok(z0)) → c61(FROM(z0))
418.99/127.07
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
418.99/127.07
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
418.99/127.07
ACTIVE(from(z0)) → c8(S(z0))
418.99/127.07
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
418.99/127.07
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
418.99/127.07
ACTIVE(dbl(s(z0))) → c(DBL(z0))
418.99/127.07
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
418.99/127.07
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
418.99/127.07
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
418.99/127.07
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
418.99/127.07
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
418.99/127.07
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
418.99/127.07
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
418.99/127.07
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
418.99/127.07
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
418.99/127.07
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
418.99/127.07
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
418.99/127.07
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
418.99/127.07
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
418.99/127.07
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
418.99/127.07
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
418.99/127.07
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)), ACTIVE(quote(0)))
418.99/127.07
ACTIVE(dbl(quote(s(z0)))) → c17(DBL(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
418.99/127.07
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
418.99/127.07
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
418.99/127.07
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
418.99/127.07
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
418.99/127.07
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
418.99/127.07
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
418.99/127.07
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
418.99/127.07
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
418.99/127.07
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
418.99/127.07
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
418.99/127.07
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
418.99/127.07
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
418.99/127.07
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
418.99/127.07
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
418.99/127.07
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
418.99/127.07
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
418.99/127.07
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
418.99/127.07
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
418.99/127.07
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
418.99/127.07
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
418.99/127.07
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
418.99/127.07
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)), ACTIVE(quote(0)))
418.99/127.07
ACTIVE(dbls(quote(s(z0)))) → c18(DBLS(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
418.99/127.07
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
418.99/127.07
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
418.99/127.07
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
418.99/127.07
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
418.99/127.07
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
418.99/127.07
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
418.99/127.07
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
418.99/127.07
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
418.99/127.07
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
418.99/127.07
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
418.99/127.07
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
418.99/127.07
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
418.99/127.07
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
418.99/127.07
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
418.99/127.07
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
418.99/127.07
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
418.99/127.07
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
418.99/127.07
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
418.99/127.07
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
418.99/127.07
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
418.99/127.07
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
418.99/127.07
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
418.99/127.07
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
418.99/127.07
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
418.99/127.07
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
418.99/127.07
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
418.99/127.07
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
418.99/127.07
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1), ACTIVE(quote(0)))
418.99/127.07
ACTIVE(indx(quote(s(z0)), x1)) → c21(INDX(mark(s1(quote(z0))), x1), ACTIVE(quote(s(z0))))
418.99/127.07
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
418.99/127.07
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
418.99/127.07
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
418.99/127.07
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
418.99/127.07
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
418.99/127.07
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
418.99/127.07
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
418.99/127.07
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
418.99/127.07
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
418.99/127.07
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
418.99/127.07
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
418.99/127.07
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
418.99/127.07
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
418.99/127.07
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
418.99/127.07
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
418.99/127.07
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
418.99/127.07
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
418.99/127.07
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
418.99/127.07
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
418.99/127.07
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
418.99/127.07
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
418.99/127.07
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
418.99/127.07
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
418.99/127.07
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
418.99/127.07
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
418.99/127.07
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
418.99/127.07
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
418.99/127.07
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
418.99/127.07
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
418.99/127.07
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
418.99/127.07
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
418.99/127.07
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
418.99/127.07
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
418.99/127.07
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)), ACTIVE(quote(0)))
418.99/127.07
ACTIVE(dbl1(quote(s(z0)))) → c22(DBL1(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
418.99/127.07
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
418.99/127.07
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
418.99/127.07
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
418.99/127.07
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
418.99/127.07
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
418.99/127.07
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
418.99/127.07
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
418.99/127.07
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
418.99/127.07
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
418.99/127.07
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
418.99/127.07
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
418.99/127.07
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
418.99/127.07
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
418.99/127.07
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
418.99/127.07
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
418.99/127.07
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
418.99/127.07
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
418.99/127.07
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
418.99/127.07
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
418.99/127.07
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
418.99/127.07
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
418.99/127.07
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
418.99/127.07
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
418.99/127.07
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
418.99/127.07
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
418.99/127.07
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
418.99/127.07
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
418.99/127.07
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
418.99/127.07
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
418.99/127.07
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
418.99/127.07
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
418.99/127.07
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
418.99/127.07
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
418.99/127.07
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
418.99/127.07
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
S tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
418.99/127.07
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
418.99/127.07
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
418.99/127.07
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
418.99/127.07
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
418.99/127.07
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
418.99/127.07
ACTIVE(s1(z0)) → c23(S1(active(z0)), ACTIVE(z0))
418.99/127.07
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
418.99/127.07
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
418.99/127.07
ACTIVE(quote(z0)) → c26(QUOTE(active(z0)), ACTIVE(z0))
418.99/127.07
DBL(mark(z0)) → c27(DBL(z0))
418.99/127.07
DBL(ok(z0)) → c28(DBL(z0))
418.99/127.07
DBLS(mark(z0)) → c29(DBLS(z0))
418.99/127.07
DBLS(ok(z0)) → c30(DBLS(z0))
418.99/127.07
SEL(mark(z0), z1) → c31(SEL(z0, z1))
418.99/127.07
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
418.99/127.07
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
418.99/127.07
INDX(mark(z0), z1) → c34(INDX(z0, z1))
418.99/127.07
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
418.99/127.07
DBL1(mark(z0)) → c36(DBL1(z0))
418.99/127.07
DBL1(ok(z0)) → c37(DBL1(z0))
418.99/127.07
S1(mark(z0)) → c38(S1(z0))
418.99/127.07
S1(ok(z0)) → c39(S1(z0))
418.99/127.07
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
418.99/127.07
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
418.99/127.07
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
418.99/127.07
QUOTE(mark(z0)) → c43(QUOTE(z0))
418.99/127.07
QUOTE(ok(z0)) → c44(QUOTE(z0))
418.99/127.07
PROPER(dbl(z0)) → c45(DBL(proper(z0)), PROPER(z0))
418.99/127.07
PROPER(s(z0)) → c47(S(proper(z0)), PROPER(z0))
418.99/127.07
PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
418.99/127.07
PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
418.99/127.07
PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
418.99/127.07
PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
418.99/127.07
PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
418.99/127.07
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
418.99/127.07
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
418.99/127.07
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
418.99/127.07
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
418.99/127.07
S(ok(z0)) → c59(S(z0))
418.99/127.07
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
418.99/127.07
FROM(ok(z0)) → c61(FROM(z0))
418.99/127.07
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
418.99/127.07
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
418.99/127.07
ACTIVE(from(z0)) → c8(S(z0))
418.99/127.07
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
418.99/127.07
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
418.99/127.07
ACTIVE(dbl(s(z0))) → c(DBL(z0))
418.99/127.07
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
418.99/127.07
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
418.99/127.07
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
418.99/127.07
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
418.99/127.07
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
418.99/127.07
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
418.99/127.07
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
418.99/127.07
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
418.99/127.07
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
418.99/127.07
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
418.99/127.07
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
418.99/127.07
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
418.99/127.07
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
418.99/127.07
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
418.99/127.07
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
418.99/127.07
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)), ACTIVE(quote(0)))
418.99/127.07
ACTIVE(dbl(quote(s(z0)))) → c17(DBL(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
418.99/127.07
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
418.99/127.07
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
418.99/127.07
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
418.99/127.07
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
418.99/127.07
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
418.99/127.07
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
418.99/127.07
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
418.99/127.07
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
418.99/127.07
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
418.99/127.07
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
418.99/127.07
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
418.99/127.07
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
418.99/127.07
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
418.99/127.07
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
418.99/127.07
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
418.99/127.07
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
418.99/127.07
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
418.99/127.07
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
418.99/127.07
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
418.99/127.07
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
418.99/127.07
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
418.99/127.07
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)), ACTIVE(quote(0)))
418.99/127.07
ACTIVE(dbls(quote(s(z0)))) → c18(DBLS(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
418.99/127.07
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
418.99/127.07
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
418.99/127.07
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
418.99/127.07
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
418.99/127.07
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
418.99/127.07
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
418.99/127.07
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
418.99/127.07
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
418.99/127.07
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
418.99/127.07
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
418.99/127.07
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
418.99/127.07
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
418.99/127.07
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
418.99/127.07
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
418.99/127.07
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
418.99/127.07
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
418.99/127.07
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
418.99/127.07
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
418.99/127.07
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
418.99/127.07
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
418.99/127.07
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
418.99/127.07
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
418.99/127.07
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
418.99/127.07
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
418.99/127.07
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
418.99/127.07
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
418.99/127.07
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
418.99/127.07
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1), ACTIVE(quote(0)))
418.99/127.07
ACTIVE(indx(quote(s(z0)), x1)) → c21(INDX(mark(s1(quote(z0))), x1), ACTIVE(quote(s(z0))))
418.99/127.07
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
418.99/127.07
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
418.99/127.07
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
418.99/127.07
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
418.99/127.07
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
418.99/127.07
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
418.99/127.07
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
418.99/127.07
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
418.99/127.07
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
418.99/127.07
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
418.99/127.07
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
418.99/127.07
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
418.99/127.07
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
418.99/127.07
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
418.99/127.07
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
418.99/127.07
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
418.99/127.07
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
418.99/127.07
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
418.99/127.07
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
418.99/127.07
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
418.99/127.07
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
418.99/127.07
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
418.99/127.07
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
418.99/127.07
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
418.99/127.07
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
418.99/127.07
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
418.99/127.07
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
418.99/127.07
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
418.99/127.07
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
418.99/127.07
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
418.99/127.07
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
418.99/127.07
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
418.99/127.07
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
418.99/127.07
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)), ACTIVE(quote(0)))
418.99/127.07
ACTIVE(dbl1(quote(s(z0)))) → c22(DBL1(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
418.99/127.07
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
418.99/127.07
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
418.99/127.07
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
418.99/127.07
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
418.99/127.07
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
418.99/127.07
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
418.99/127.07
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
418.99/127.07
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
418.99/127.07
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
418.99/127.07
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
418.99/127.07
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
418.99/127.07
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
418.99/127.07
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
418.99/127.07
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
418.99/127.07
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
418.99/127.07
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
418.99/127.07
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
418.99/127.07
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
418.99/127.07
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
418.99/127.07
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
418.99/127.07
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
418.99/127.07
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
418.99/127.07
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
418.99/127.07
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
418.99/127.07
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
418.99/127.07
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
418.99/127.07
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
418.99/127.07
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
418.99/127.07
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
418.99/127.07
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
418.99/127.07
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
418.99/127.07
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
418.99/127.07
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
418.99/127.07
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
418.99/127.07
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
ACTIVE, DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, PROPER, S, CONS, FROM, TOP
Compound Symbols:
c5, c12, c15, c16, c19, c20, c23, c24, c25, c26, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c45, c47, c48, c50, c51, c52, c53, c54, c56, c57, c58, c59, c60, c61, c62, c63, c8, c, c17, c17, c1, c18, c18, c2, c21, c21, c3, c22, c22, c4
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(31) CdtNarrowingProof (BOTH BOUNDS(ID, ID) transformation)
Use narrowing to replace
ACTIVE(
s1(
z0)) →
c23(
S1(
active(
z0)),
ACTIVE(
z0)) by
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)), ACTIVE(dbl(0)))
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ACTIVE(s1(dbl(s(z0)))) → c23(S1(mark(s(s(dbl(z0))))), ACTIVE(dbl(s(z0))))
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ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)), ACTIVE(dbls(nil)))
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ACTIVE(s1(dbls(cons(z0, z1)))) → c23(S1(mark(cons(dbl(z0), dbls(z1)))), ACTIVE(dbls(cons(z0, z1))))
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ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
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ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
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ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)), ACTIVE(indx(nil, z0)))
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ACTIVE(s1(indx(cons(z0, z1), z2))) → c23(S1(mark(cons(sel(z0, z2), indx(z1, z2)))), ACTIVE(indx(cons(z0, z1), z2)))
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ACTIVE(s1(from(z0))) → c23(S1(mark(cons(z0, from(s(z0))))), ACTIVE(from(z0)))
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ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)), ACTIVE(dbl1(0)))
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ACTIVE(s1(dbl1(s(z0)))) → c23(S1(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
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ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
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ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
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ACTIVE(s1(quote(0))) → c23(S1(mark(01)), ACTIVE(quote(0)))
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ACTIVE(s1(quote(s(z0)))) → c23(S1(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
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ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
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ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
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ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
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ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
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ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
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ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
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ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
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ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
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ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
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ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
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ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
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ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
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(32) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
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active(dbl(s(z0))) → mark(s(s(dbl(z0))))
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active(dbls(nil)) → mark(nil)
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active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
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active(sel(0, cons(z0, z1))) → mark(z0)
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active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
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active(indx(nil, z0)) → mark(nil)
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active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
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active(from(z0)) → mark(cons(z0, from(s(z0))))
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active(dbl1(0)) → mark(01)
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active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
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active(sel1(0, cons(z0, z1))) → mark(z0)
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active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
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active(quote(0)) → mark(01)
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active(quote(s(z0))) → mark(s1(quote(z0)))
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active(quote(dbl(z0))) → mark(dbl1(z0))
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active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
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active(dbl(z0)) → dbl(active(z0))
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active(dbls(z0)) → dbls(active(z0))
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active(sel(z0, z1)) → sel(active(z0), z1)
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active(sel(z0, z1)) → sel(z0, active(z1))
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active(indx(z0, z1)) → indx(active(z0), z1)
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active(dbl1(z0)) → dbl1(active(z0))
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active(s1(z0)) → s1(active(z0))
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active(sel1(z0, z1)) → sel1(active(z0), z1)
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active(sel1(z0, z1)) → sel1(z0, active(z1))
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active(quote(z0)) → quote(active(z0))
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dbl(mark(z0)) → mark(dbl(z0))
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dbl(ok(z0)) → ok(dbl(z0))
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dbls(mark(z0)) → mark(dbls(z0))
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dbls(ok(z0)) → ok(dbls(z0))
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sel(mark(z0), z1) → mark(sel(z0, z1))
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sel(z0, mark(z1)) → mark(sel(z0, z1))
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sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
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indx(mark(z0), z1) → mark(indx(z0, z1))
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indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
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dbl1(mark(z0)) → mark(dbl1(z0))
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dbl1(ok(z0)) → ok(dbl1(z0))
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s1(mark(z0)) → mark(s1(z0))
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s1(ok(z0)) → ok(s1(z0))
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sel1(mark(z0), z1) → mark(sel1(z0, z1))
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sel1(z0, mark(z1)) → mark(sel1(z0, z1))
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sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
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quote(mark(z0)) → mark(quote(z0))
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quote(ok(z0)) → ok(quote(z0))
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proper(dbl(z0)) → dbl(proper(z0))
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proper(0) → ok(0)
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proper(s(z0)) → s(proper(z0))
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proper(dbls(z0)) → dbls(proper(z0))
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proper(nil) → ok(nil)
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proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
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proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
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proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
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proper(from(z0)) → from(proper(z0))
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proper(dbl1(z0)) → dbl1(proper(z0))
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proper(01) → ok(01)
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proper(s1(z0)) → s1(proper(z0))
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proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
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proper(quote(z0)) → quote(proper(z0))
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s(ok(z0)) → ok(s(z0))
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cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
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from(ok(z0)) → ok(from(z0))
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top(mark(z0)) → top(proper(z0))
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top(ok(z0)) → top(active(z0))
Tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
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ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
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ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
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ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
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ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
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ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
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ACTIVE(quote(z0)) → c26(QUOTE(active(z0)), ACTIVE(z0))
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DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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PROPER(dbl(z0)) → c45(DBL(proper(z0)), PROPER(z0))
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PROPER(s(z0)) → c47(S(proper(z0)), PROPER(z0))
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PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
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PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
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PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
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PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
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PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
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TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
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TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
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ACTIVE(from(z0)) → c8(S(z0))
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ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
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ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
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ACTIVE(dbl(s(z0))) → c(DBL(z0))
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ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
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ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
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ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
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ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
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ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
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ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
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ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
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ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
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ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
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ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
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ACTIVE(quote(s(z0))) → c(QUOTE(z0))
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ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
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ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
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ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
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ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
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ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)), ACTIVE(quote(0)))
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ACTIVE(dbl(quote(s(z0)))) → c17(DBL(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
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ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
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ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
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ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
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ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
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ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
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ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
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ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
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ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
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ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
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ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
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ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
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ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
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ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
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ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
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ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
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ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
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ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
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ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
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ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
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ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)), ACTIVE(quote(0)))
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ACTIVE(dbls(quote(s(z0)))) → c18(DBLS(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
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ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
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ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
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ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
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ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
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ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
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ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
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ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
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ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
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ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
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ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
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ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
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ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
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ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
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ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
418.99/127.07
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
418.99/127.07
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
418.99/127.07
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
418.99/127.07
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
418.99/127.07
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
418.99/127.07
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
418.99/127.07
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
418.99/127.07
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
418.99/127.07
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
418.99/127.07
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
418.99/127.07
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
418.99/127.07
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1), ACTIVE(quote(0)))
418.99/127.07
ACTIVE(indx(quote(s(z0)), x1)) → c21(INDX(mark(s1(quote(z0))), x1), ACTIVE(quote(s(z0))))
418.99/127.07
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
418.99/127.07
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
418.99/127.07
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
418.99/127.07
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
418.99/127.07
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
418.99/127.07
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
418.99/127.07
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
418.99/127.07
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
418.99/127.07
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
418.99/127.07
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
418.99/127.07
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
418.99/127.07
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
418.99/127.07
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
418.99/127.07
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
418.99/127.07
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
418.99/127.07
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
418.99/127.07
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
418.99/127.07
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
418.99/127.07
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
418.99/127.07
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
418.99/127.07
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
418.99/127.07
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
418.99/127.07
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
418.99/127.07
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
418.99/127.07
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
418.99/127.07
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
418.99/127.07
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
418.99/127.07
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
418.99/127.07
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
418.99/127.07
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
418.99/127.07
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
418.99/127.07
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
418.99/127.07
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
418.99/127.07
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)), ACTIVE(quote(0)))
418.99/127.07
ACTIVE(dbl1(quote(s(z0)))) → c22(DBL1(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
418.99/127.07
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
418.99/127.07
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
418.99/127.07
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
418.99/127.07
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
418.99/127.07
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
418.99/127.07
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
418.99/127.07
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
418.99/127.07
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
418.99/127.07
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
418.99/127.07
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
418.99/127.07
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
418.99/127.07
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
418.99/127.07
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
418.99/127.07
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
418.99/127.07
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
418.99/127.07
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
418.99/127.07
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
418.99/127.07
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
418.99/127.07
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
418.99/127.07
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
418.99/127.07
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
418.99/127.07
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
418.99/127.07
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
418.99/127.07
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
418.99/127.07
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
418.99/127.07
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
418.99/127.07
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
418.99/127.07
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
418.99/127.07
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
418.99/127.07
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
418.99/127.07
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
418.99/127.07
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
418.99/127.07
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
418.99/127.07
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
418.99/127.07
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
418.99/127.07
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)), ACTIVE(dbl(0)))
418.99/127.07
ACTIVE(s1(dbl(s(z0)))) → c23(S1(mark(s(s(dbl(z0))))), ACTIVE(dbl(s(z0))))
418.99/127.07
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)), ACTIVE(dbls(nil)))
418.99/127.07
ACTIVE(s1(dbls(cons(z0, z1)))) → c23(S1(mark(cons(dbl(z0), dbls(z1)))), ACTIVE(dbls(cons(z0, z1))))
418.99/127.07
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
418.99/127.07
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
418.99/127.07
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)), ACTIVE(indx(nil, z0)))
418.99/127.07
ACTIVE(s1(indx(cons(z0, z1), z2))) → c23(S1(mark(cons(sel(z0, z2), indx(z1, z2)))), ACTIVE(indx(cons(z0, z1), z2)))
418.99/127.07
ACTIVE(s1(from(z0))) → c23(S1(mark(cons(z0, from(s(z0))))), ACTIVE(from(z0)))
418.99/127.07
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)), ACTIVE(dbl1(0)))
418.99/127.07
ACTIVE(s1(dbl1(s(z0)))) → c23(S1(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
418.99/127.07
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
418.99/127.07
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
418.99/127.07
ACTIVE(s1(quote(0))) → c23(S1(mark(01)), ACTIVE(quote(0)))
418.99/127.07
ACTIVE(s1(quote(s(z0)))) → c23(S1(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
418.99/127.07
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
418.99/127.07
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
418.99/127.07
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
418.99/127.07
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
418.99/127.07
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
418.99/127.07
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
418.99/127.07
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
418.99/127.07
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
418.99/127.07
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
418.99/127.07
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
418.99/127.07
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
418.99/127.07
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
S tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
418.99/127.07
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
418.99/127.07
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
418.99/127.07
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
418.99/127.07
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
418.99/127.07
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
418.99/127.07
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
418.99/127.07
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
418.99/127.07
ACTIVE(quote(z0)) → c26(QUOTE(active(z0)), ACTIVE(z0))
418.99/127.07
DBL(mark(z0)) → c27(DBL(z0))
418.99/127.07
DBL(ok(z0)) → c28(DBL(z0))
418.99/127.07
DBLS(mark(z0)) → c29(DBLS(z0))
418.99/127.07
DBLS(ok(z0)) → c30(DBLS(z0))
418.99/127.07
SEL(mark(z0), z1) → c31(SEL(z0, z1))
418.99/127.07
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
418.99/127.07
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
418.99/127.07
INDX(mark(z0), z1) → c34(INDX(z0, z1))
418.99/127.07
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
418.99/127.07
DBL1(mark(z0)) → c36(DBL1(z0))
418.99/127.07
DBL1(ok(z0)) → c37(DBL1(z0))
418.99/127.07
S1(mark(z0)) → c38(S1(z0))
418.99/127.07
S1(ok(z0)) → c39(S1(z0))
418.99/127.07
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
418.99/127.07
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
418.99/127.07
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
418.99/127.07
QUOTE(mark(z0)) → c43(QUOTE(z0))
418.99/127.07
QUOTE(ok(z0)) → c44(QUOTE(z0))
418.99/127.07
PROPER(dbl(z0)) → c45(DBL(proper(z0)), PROPER(z0))
418.99/127.07
PROPER(s(z0)) → c47(S(proper(z0)), PROPER(z0))
418.99/127.07
PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
418.99/127.07
PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
418.99/127.07
PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
418.99/127.07
PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
418.99/127.07
PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
418.99/127.07
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
418.99/127.07
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
418.99/127.07
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
418.99/127.07
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
418.99/127.07
S(ok(z0)) → c59(S(z0))
418.99/127.07
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
418.99/127.07
FROM(ok(z0)) → c61(FROM(z0))
418.99/127.07
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
418.99/127.07
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
418.99/127.07
ACTIVE(from(z0)) → c8(S(z0))
418.99/127.07
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
418.99/127.07
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
418.99/127.07
ACTIVE(dbl(s(z0))) → c(DBL(z0))
418.99/127.07
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
418.99/127.07
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
418.99/127.07
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
418.99/127.07
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
418.99/127.07
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
418.99/127.07
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
418.99/127.07
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
418.99/127.07
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
418.99/127.07
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
418.99/127.07
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
418.99/127.07
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
418.99/127.07
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
418.99/127.07
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
418.99/127.07
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
418.99/127.07
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
418.99/127.07
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)), ACTIVE(quote(0)))
418.99/127.07
ACTIVE(dbl(quote(s(z0)))) → c17(DBL(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
418.99/127.07
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
418.99/127.07
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
418.99/127.07
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
418.99/127.07
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
418.99/127.07
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
418.99/127.07
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
418.99/127.07
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
418.99/127.07
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
418.99/127.07
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
418.99/127.07
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
418.99/127.07
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
418.99/127.07
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
418.99/127.07
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
418.99/127.07
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
418.99/127.07
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
418.99/127.07
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
418.99/127.07
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
418.99/127.07
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
418.99/127.07
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
418.99/127.07
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
418.99/127.07
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
418.99/127.07
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)), ACTIVE(quote(0)))
418.99/127.07
ACTIVE(dbls(quote(s(z0)))) → c18(DBLS(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
418.99/127.07
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
418.99/127.07
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
418.99/127.07
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
418.99/127.07
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
418.99/127.07
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
418.99/127.07
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
418.99/127.07
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
418.99/127.07
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
418.99/127.07
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
418.99/127.07
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
418.99/127.07
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
418.99/127.07
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
418.99/127.07
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
418.99/127.07
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
418.99/127.07
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
418.99/127.07
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
418.99/127.07
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
418.99/127.07
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
418.99/127.07
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
418.99/127.07
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
418.99/127.07
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
418.99/127.07
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
418.99/127.07
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
418.99/127.07
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
418.99/127.07
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
418.99/127.07
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
418.99/127.07
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
418.99/127.07
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1), ACTIVE(quote(0)))
418.99/127.07
ACTIVE(indx(quote(s(z0)), x1)) → c21(INDX(mark(s1(quote(z0))), x1), ACTIVE(quote(s(z0))))
418.99/127.07
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
418.99/127.07
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
418.99/127.07
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
418.99/127.07
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
418.99/127.07
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
418.99/127.07
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
418.99/127.07
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
418.99/127.07
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
418.99/127.07
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
418.99/127.07
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
418.99/127.07
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
418.99/127.07
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
418.99/127.07
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
418.99/127.07
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
418.99/127.07
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
418.99/127.07
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
418.99/127.07
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
418.99/127.07
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
418.99/127.07
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
418.99/127.07
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
418.99/127.07
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
418.99/127.07
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
418.99/127.07
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
418.99/127.07
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
418.99/127.07
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
418.99/127.07
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
418.99/127.07
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
418.99/127.07
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
418.99/127.07
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
418.99/127.07
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
418.99/127.07
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
418.99/127.07
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
418.99/127.07
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
418.99/127.07
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)), ACTIVE(quote(0)))
418.99/127.07
ACTIVE(dbl1(quote(s(z0)))) → c22(DBL1(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
418.99/127.07
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
418.99/127.07
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
418.99/127.07
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
418.99/127.07
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
418.99/127.07
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
418.99/127.07
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
418.99/127.07
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
418.99/127.07
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
418.99/127.07
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
418.99/127.07
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
418.99/127.07
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
418.99/127.07
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
418.99/127.07
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
418.99/127.07
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
418.99/127.07
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
418.99/127.07
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
418.99/127.07
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
418.99/127.07
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
418.99/127.07
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
418.99/127.07
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
418.99/127.07
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
418.99/127.07
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
418.99/127.07
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
418.99/127.07
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
418.99/127.07
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
418.99/127.07
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
418.99/127.07
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
418.99/127.07
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
418.99/127.07
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
418.99/127.07
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
418.99/127.07
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
418.99/127.07
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
418.99/127.07
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
418.99/127.07
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
418.99/127.07
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
418.99/127.07
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)), ACTIVE(dbl(0)))
418.99/127.07
ACTIVE(s1(dbl(s(z0)))) → c23(S1(mark(s(s(dbl(z0))))), ACTIVE(dbl(s(z0))))
418.99/127.07
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)), ACTIVE(dbls(nil)))
418.99/127.07
ACTIVE(s1(dbls(cons(z0, z1)))) → c23(S1(mark(cons(dbl(z0), dbls(z1)))), ACTIVE(dbls(cons(z0, z1))))
418.99/127.07
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
418.99/127.07
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
418.99/127.07
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)), ACTIVE(indx(nil, z0)))
418.99/127.07
ACTIVE(s1(indx(cons(z0, z1), z2))) → c23(S1(mark(cons(sel(z0, z2), indx(z1, z2)))), ACTIVE(indx(cons(z0, z1), z2)))
418.99/127.07
ACTIVE(s1(from(z0))) → c23(S1(mark(cons(z0, from(s(z0))))), ACTIVE(from(z0)))
418.99/127.07
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)), ACTIVE(dbl1(0)))
418.99/127.07
ACTIVE(s1(dbl1(s(z0)))) → c23(S1(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
418.99/127.07
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
418.99/127.07
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
418.99/127.07
ACTIVE(s1(quote(0))) → c23(S1(mark(01)), ACTIVE(quote(0)))
418.99/127.07
ACTIVE(s1(quote(s(z0)))) → c23(S1(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
418.99/127.07
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
418.99/127.07
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
418.99/127.07
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
418.99/127.07
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
418.99/127.07
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
418.99/127.07
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
418.99/127.07
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
418.99/127.07
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
418.99/127.07
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
418.99/127.07
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
418.99/127.07
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
418.99/127.07
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
ACTIVE, DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, PROPER, S, CONS, FROM, TOP
Compound Symbols:
c5, c12, c15, c16, c19, c20, c24, c25, c26, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c45, c47, c48, c50, c51, c52, c53, c54, c56, c57, c58, c59, c60, c61, c62, c63, c8, c, c17, c17, c1, c18, c18, c2, c21, c21, c3, c22, c22, c4, c23
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(33) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID) transformation)
Removed 4 trailing tuple parts
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(34) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
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active(dbl(s(z0))) → mark(s(s(dbl(z0))))
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active(dbls(nil)) → mark(nil)
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active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
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active(sel(0, cons(z0, z1))) → mark(z0)
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active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
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active(indx(nil, z0)) → mark(nil)
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active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
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active(from(z0)) → mark(cons(z0, from(s(z0))))
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active(dbl1(0)) → mark(01)
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active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
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active(sel1(0, cons(z0, z1))) → mark(z0)
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active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
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active(quote(0)) → mark(01)
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active(quote(s(z0))) → mark(s1(quote(z0)))
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active(quote(dbl(z0))) → mark(dbl1(z0))
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active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
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active(dbl(z0)) → dbl(active(z0))
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active(dbls(z0)) → dbls(active(z0))
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active(sel(z0, z1)) → sel(active(z0), z1)
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active(sel(z0, z1)) → sel(z0, active(z1))
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active(indx(z0, z1)) → indx(active(z0), z1)
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active(dbl1(z0)) → dbl1(active(z0))
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active(s1(z0)) → s1(active(z0))
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active(sel1(z0, z1)) → sel1(active(z0), z1)
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active(sel1(z0, z1)) → sel1(z0, active(z1))
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active(quote(z0)) → quote(active(z0))
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dbl(mark(z0)) → mark(dbl(z0))
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dbl(ok(z0)) → ok(dbl(z0))
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dbls(mark(z0)) → mark(dbls(z0))
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dbls(ok(z0)) → ok(dbls(z0))
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sel(mark(z0), z1) → mark(sel(z0, z1))
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sel(z0, mark(z1)) → mark(sel(z0, z1))
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sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
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indx(mark(z0), z1) → mark(indx(z0, z1))
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indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
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dbl1(mark(z0)) → mark(dbl1(z0))
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dbl1(ok(z0)) → ok(dbl1(z0))
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s1(mark(z0)) → mark(s1(z0))
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s1(ok(z0)) → ok(s1(z0))
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sel1(mark(z0), z1) → mark(sel1(z0, z1))
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sel1(z0, mark(z1)) → mark(sel1(z0, z1))
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sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
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quote(mark(z0)) → mark(quote(z0))
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quote(ok(z0)) → ok(quote(z0))
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proper(dbl(z0)) → dbl(proper(z0))
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proper(0) → ok(0)
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proper(s(z0)) → s(proper(z0))
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proper(dbls(z0)) → dbls(proper(z0))
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proper(nil) → ok(nil)
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proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
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proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
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proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
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proper(from(z0)) → from(proper(z0))
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proper(dbl1(z0)) → dbl1(proper(z0))
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proper(01) → ok(01)
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proper(s1(z0)) → s1(proper(z0))
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proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
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proper(quote(z0)) → quote(proper(z0))
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s(ok(z0)) → ok(s(z0))
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cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
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from(ok(z0)) → ok(from(z0))
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top(mark(z0)) → top(proper(z0))
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top(ok(z0)) → top(active(z0))
Tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
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ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
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ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
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ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
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ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
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ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
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ACTIVE(quote(z0)) → c26(QUOTE(active(z0)), ACTIVE(z0))
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DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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PROPER(dbl(z0)) → c45(DBL(proper(z0)), PROPER(z0))
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PROPER(s(z0)) → c47(S(proper(z0)), PROPER(z0))
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PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
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PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
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PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
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PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
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PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
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TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
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TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
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ACTIVE(from(z0)) → c8(S(z0))
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ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
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ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
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ACTIVE(dbl(s(z0))) → c(DBL(z0))
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ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
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ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
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ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
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ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
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ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
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ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
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ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
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ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
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ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
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ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
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ACTIVE(quote(s(z0))) → c(QUOTE(z0))
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ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
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ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
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ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
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ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
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ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)), ACTIVE(quote(0)))
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ACTIVE(dbl(quote(s(z0)))) → c17(DBL(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
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ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
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ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
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ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
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ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
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ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
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ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
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ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
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ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
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ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
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ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
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ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
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ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
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ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
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ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
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ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
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ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
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ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
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ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
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ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
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ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)), ACTIVE(quote(0)))
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ACTIVE(dbls(quote(s(z0)))) → c18(DBLS(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
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ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
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ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
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ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
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ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
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ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
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ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
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ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
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ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
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ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
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ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
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ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
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ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
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ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
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ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
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ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
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ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
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ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
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ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
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ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
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ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
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ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
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ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
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ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
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ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
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ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
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ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1), ACTIVE(quote(0)))
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ACTIVE(indx(quote(s(z0)), x1)) → c21(INDX(mark(s1(quote(z0))), x1), ACTIVE(quote(s(z0))))
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ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
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ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
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ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
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ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
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ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
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ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
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ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
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ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
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ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
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ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
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ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
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ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
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ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
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ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
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ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
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ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
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ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
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ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
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ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
418.99/127.09
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
418.99/127.09
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
418.99/127.09
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
418.99/127.09
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
418.99/127.09
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
418.99/127.09
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
418.99/127.09
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
418.99/127.09
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
418.99/127.09
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
418.99/127.09
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
418.99/127.09
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
418.99/127.09
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
418.99/127.09
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
418.99/127.09
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
418.99/127.09
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)), ACTIVE(quote(0)))
418.99/127.09
ACTIVE(dbl1(quote(s(z0)))) → c22(DBL1(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
418.99/127.09
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
418.99/127.09
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
418.99/127.09
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
418.99/127.09
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
418.99/127.09
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
418.99/127.09
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
418.99/127.09
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
418.99/127.09
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
418.99/127.09
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
418.99/127.09
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
418.99/127.09
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
418.99/127.09
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
418.99/127.09
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
418.99/127.09
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
418.99/127.09
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
418.99/127.09
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
418.99/127.09
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
418.99/127.09
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
418.99/127.09
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
418.99/127.09
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
418.99/127.09
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
418.99/127.09
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
418.99/127.09
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
418.99/127.09
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
418.99/127.09
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
418.99/127.09
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
418.99/127.09
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
418.99/127.09
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
418.99/127.09
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
418.99/127.09
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
418.99/127.09
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
418.99/127.09
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
418.99/127.09
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
418.99/127.09
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
418.99/127.09
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
418.99/127.09
ACTIVE(s1(dbl(s(z0)))) → c23(S1(mark(s(s(dbl(z0))))), ACTIVE(dbl(s(z0))))
418.99/127.09
ACTIVE(s1(dbls(cons(z0, z1)))) → c23(S1(mark(cons(dbl(z0), dbls(z1)))), ACTIVE(dbls(cons(z0, z1))))
418.99/127.09
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
418.99/127.09
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
418.99/127.09
ACTIVE(s1(indx(cons(z0, z1), z2))) → c23(S1(mark(cons(sel(z0, z2), indx(z1, z2)))), ACTIVE(indx(cons(z0, z1), z2)))
418.99/127.09
ACTIVE(s1(from(z0))) → c23(S1(mark(cons(z0, from(s(z0))))), ACTIVE(from(z0)))
418.99/127.09
ACTIVE(s1(dbl1(s(z0)))) → c23(S1(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
418.99/127.09
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
418.99/127.09
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
418.99/127.09
ACTIVE(s1(quote(0))) → c23(S1(mark(01)), ACTIVE(quote(0)))
418.99/127.09
ACTIVE(s1(quote(s(z0)))) → c23(S1(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
418.99/127.09
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
418.99/127.09
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
418.99/127.09
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
418.99/127.09
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
418.99/127.09
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
418.99/127.09
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
418.99/127.09
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
418.99/127.09
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
418.99/127.09
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
418.99/127.09
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
418.99/127.09
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
418.99/127.09
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
418.99/127.09
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
418.99/127.09
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
418.99/127.09
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
418.99/127.09
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
S tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
418.99/127.09
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
418.99/127.09
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
418.99/127.09
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
418.99/127.09
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
418.99/127.09
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
418.99/127.09
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
418.99/127.09
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
418.99/127.09
ACTIVE(quote(z0)) → c26(QUOTE(active(z0)), ACTIVE(z0))
418.99/127.09
DBL(mark(z0)) → c27(DBL(z0))
418.99/127.09
DBL(ok(z0)) → c28(DBL(z0))
418.99/127.09
DBLS(mark(z0)) → c29(DBLS(z0))
418.99/127.09
DBLS(ok(z0)) → c30(DBLS(z0))
418.99/127.09
SEL(mark(z0), z1) → c31(SEL(z0, z1))
418.99/127.09
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
418.99/127.09
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
418.99/127.09
INDX(mark(z0), z1) → c34(INDX(z0, z1))
418.99/127.09
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
418.99/127.09
DBL1(mark(z0)) → c36(DBL1(z0))
418.99/127.09
DBL1(ok(z0)) → c37(DBL1(z0))
418.99/127.09
S1(mark(z0)) → c38(S1(z0))
418.99/127.09
S1(ok(z0)) → c39(S1(z0))
418.99/127.09
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
418.99/127.09
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
418.99/127.09
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
418.99/127.09
QUOTE(mark(z0)) → c43(QUOTE(z0))
418.99/127.09
QUOTE(ok(z0)) → c44(QUOTE(z0))
418.99/127.09
PROPER(dbl(z0)) → c45(DBL(proper(z0)), PROPER(z0))
418.99/127.09
PROPER(s(z0)) → c47(S(proper(z0)), PROPER(z0))
418.99/127.09
PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
418.99/127.09
PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
418.99/127.09
PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
418.99/127.09
PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
418.99/127.09
PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
418.99/127.09
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
418.99/127.09
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
418.99/127.09
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
418.99/127.09
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
418.99/127.09
S(ok(z0)) → c59(S(z0))
418.99/127.09
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
418.99/127.09
FROM(ok(z0)) → c61(FROM(z0))
418.99/127.09
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
418.99/127.09
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
418.99/127.09
ACTIVE(from(z0)) → c8(S(z0))
418.99/127.09
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
418.99/127.09
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
418.99/127.09
ACTIVE(dbl(s(z0))) → c(DBL(z0))
418.99/127.09
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
418.99/127.09
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
418.99/127.09
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
418.99/127.09
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
418.99/127.09
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
418.99/127.09
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
418.99/127.09
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
418.99/127.09
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
418.99/127.09
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
418.99/127.09
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
418.99/127.09
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
418.99/127.09
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
418.99/127.09
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
418.99/127.09
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
418.99/127.09
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
418.99/127.09
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)), ACTIVE(quote(0)))
418.99/127.09
ACTIVE(dbl(quote(s(z0)))) → c17(DBL(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
418.99/127.09
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
418.99/127.09
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
418.99/127.09
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
418.99/127.09
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
418.99/127.09
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
418.99/127.09
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
418.99/127.09
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
418.99/127.09
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
418.99/127.09
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
418.99/127.09
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
418.99/127.09
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
418.99/127.09
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
418.99/127.09
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
418.99/127.09
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
418.99/127.09
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
418.99/127.09
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
418.99/127.09
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
418.99/127.09
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
418.99/127.09
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
418.99/127.09
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
418.99/127.09
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
418.99/127.09
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)), ACTIVE(quote(0)))
418.99/127.09
ACTIVE(dbls(quote(s(z0)))) → c18(DBLS(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
418.99/127.09
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
418.99/127.09
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
418.99/127.09
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
418.99/127.09
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
418.99/127.09
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
418.99/127.09
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
418.99/127.09
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
418.99/127.09
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
418.99/127.09
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
418.99/127.09
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
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ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
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ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
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ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
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ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
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ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
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ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
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ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
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ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
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ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
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ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
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ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
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ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
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ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
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ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
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ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
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ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1), ACTIVE(quote(0)))
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ACTIVE(indx(quote(s(z0)), x1)) → c21(INDX(mark(s1(quote(z0))), x1), ACTIVE(quote(s(z0))))
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ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
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ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
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ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
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ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
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ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
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ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
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ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
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ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
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ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
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ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
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ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
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ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
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ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
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ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
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ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
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ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
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ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
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ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
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ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
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ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
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ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
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ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
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ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
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ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
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ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
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ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
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ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
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ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
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ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
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ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
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ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
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ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
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ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
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ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)), ACTIVE(quote(0)))
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ACTIVE(dbl1(quote(s(z0)))) → c22(DBL1(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
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ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
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ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
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ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
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ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
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ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
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ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
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ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
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ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
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ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
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ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
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ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
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ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
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ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
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ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
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ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
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ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
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ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
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ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
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ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
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ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
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ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
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ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
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ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
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ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
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ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
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ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
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ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
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ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
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ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
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ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
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ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
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ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
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ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
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ACTIVE(s1(dbl(s(z0)))) → c23(S1(mark(s(s(dbl(z0))))), ACTIVE(dbl(s(z0))))
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ACTIVE(s1(dbls(cons(z0, z1)))) → c23(S1(mark(cons(dbl(z0), dbls(z1)))), ACTIVE(dbls(cons(z0, z1))))
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ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
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ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
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ACTIVE(s1(indx(cons(z0, z1), z2))) → c23(S1(mark(cons(sel(z0, z2), indx(z1, z2)))), ACTIVE(indx(cons(z0, z1), z2)))
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ACTIVE(s1(from(z0))) → c23(S1(mark(cons(z0, from(s(z0))))), ACTIVE(from(z0)))
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ACTIVE(s1(dbl1(s(z0)))) → c23(S1(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
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ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
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ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
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ACTIVE(s1(quote(0))) → c23(S1(mark(01)), ACTIVE(quote(0)))
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ACTIVE(s1(quote(s(z0)))) → c23(S1(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
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ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
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ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
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ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
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ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
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ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
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ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
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ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
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ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
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ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
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ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
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ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
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ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
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ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
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ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
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ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
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ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
ACTIVE, DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, PROPER, S, CONS, FROM, TOP
Compound Symbols:
c5, c12, c15, c16, c19, c20, c24, c25, c26, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c45, c47, c48, c50, c51, c52, c53, c54, c56, c57, c58, c59, c60, c61, c62, c63, c8, c, c17, c17, c1, c18, c18, c2, c21, c21, c3, c22, c22, c4, c23, c23
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418.99/127.09
(35) CdtGraphSplitRhsProof (BOTH BOUNDS(ID, ID) transformation)
Split RHS of tuples not part of any SCC
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(36) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
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active(dbl(s(z0))) → mark(s(s(dbl(z0))))
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active(dbls(nil)) → mark(nil)
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active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
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active(sel(0, cons(z0, z1))) → mark(z0)
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active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
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active(indx(nil, z0)) → mark(nil)
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active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
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active(from(z0)) → mark(cons(z0, from(s(z0))))
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active(dbl1(0)) → mark(01)
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active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
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active(sel1(0, cons(z0, z1))) → mark(z0)
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active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
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active(quote(0)) → mark(01)
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active(quote(s(z0))) → mark(s1(quote(z0)))
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active(quote(dbl(z0))) → mark(dbl1(z0))
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active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
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active(dbl(z0)) → dbl(active(z0))
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active(dbls(z0)) → dbls(active(z0))
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active(sel(z0, z1)) → sel(active(z0), z1)
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active(sel(z0, z1)) → sel(z0, active(z1))
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active(indx(z0, z1)) → indx(active(z0), z1)
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active(dbl1(z0)) → dbl1(active(z0))
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active(s1(z0)) → s1(active(z0))
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active(sel1(z0, z1)) → sel1(active(z0), z1)
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active(sel1(z0, z1)) → sel1(z0, active(z1))
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active(quote(z0)) → quote(active(z0))
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dbl(mark(z0)) → mark(dbl(z0))
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dbl(ok(z0)) → ok(dbl(z0))
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dbls(mark(z0)) → mark(dbls(z0))
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dbls(ok(z0)) → ok(dbls(z0))
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sel(mark(z0), z1) → mark(sel(z0, z1))
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sel(z0, mark(z1)) → mark(sel(z0, z1))
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sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
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indx(mark(z0), z1) → mark(indx(z0, z1))
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indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
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dbl1(mark(z0)) → mark(dbl1(z0))
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dbl1(ok(z0)) → ok(dbl1(z0))
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s1(mark(z0)) → mark(s1(z0))
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s1(ok(z0)) → ok(s1(z0))
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sel1(mark(z0), z1) → mark(sel1(z0, z1))
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sel1(z0, mark(z1)) → mark(sel1(z0, z1))
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sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
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quote(mark(z0)) → mark(quote(z0))
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quote(ok(z0)) → ok(quote(z0))
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proper(dbl(z0)) → dbl(proper(z0))
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proper(0) → ok(0)
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proper(s(z0)) → s(proper(z0))
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proper(dbls(z0)) → dbls(proper(z0))
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proper(nil) → ok(nil)
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proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
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proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
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proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
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proper(from(z0)) → from(proper(z0))
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proper(dbl1(z0)) → dbl1(proper(z0))
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proper(01) → ok(01)
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proper(s1(z0)) → s1(proper(z0))
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proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
418.99/127.09
proper(quote(z0)) → quote(proper(z0))
418.99/127.09
s(ok(z0)) → ok(s(z0))
418.99/127.09
cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
418.99/127.09
from(ok(z0)) → ok(from(z0))
418.99/127.09
top(mark(z0)) → top(proper(z0))
418.99/127.09
top(ok(z0)) → top(active(z0))
Tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
418.99/127.09
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
418.99/127.09
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
418.99/127.09
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
418.99/127.09
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
418.99/127.09
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
418.99/127.09
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
418.99/127.09
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
418.99/127.09
ACTIVE(quote(z0)) → c26(QUOTE(active(z0)), ACTIVE(z0))
418.99/127.09
DBL(mark(z0)) → c27(DBL(z0))
418.99/127.09
DBL(ok(z0)) → c28(DBL(z0))
418.99/127.09
DBLS(mark(z0)) → c29(DBLS(z0))
418.99/127.09
DBLS(ok(z0)) → c30(DBLS(z0))
418.99/127.09
SEL(mark(z0), z1) → c31(SEL(z0, z1))
418.99/127.09
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
418.99/127.09
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
418.99/127.09
INDX(mark(z0), z1) → c34(INDX(z0, z1))
418.99/127.09
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
418.99/127.09
DBL1(mark(z0)) → c36(DBL1(z0))
418.99/127.09
DBL1(ok(z0)) → c37(DBL1(z0))
418.99/127.09
S1(mark(z0)) → c38(S1(z0))
418.99/127.09
S1(ok(z0)) → c39(S1(z0))
418.99/127.09
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
418.99/127.09
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
418.99/127.09
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
418.99/127.09
QUOTE(mark(z0)) → c43(QUOTE(z0))
418.99/127.09
QUOTE(ok(z0)) → c44(QUOTE(z0))
418.99/127.09
PROPER(dbl(z0)) → c45(DBL(proper(z0)), PROPER(z0))
418.99/127.09
PROPER(s(z0)) → c47(S(proper(z0)), PROPER(z0))
418.99/127.09
PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
418.99/127.09
PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
418.99/127.09
PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
418.99/127.09
PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
418.99/127.09
PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
418.99/127.09
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
418.99/127.09
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
418.99/127.09
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
418.99/127.09
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
418.99/127.09
S(ok(z0)) → c59(S(z0))
418.99/127.09
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
418.99/127.09
FROM(ok(z0)) → c61(FROM(z0))
418.99/127.09
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
418.99/127.09
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
418.99/127.09
ACTIVE(from(z0)) → c8(S(z0))
418.99/127.09
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
418.99/127.09
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
418.99/127.09
ACTIVE(dbl(s(z0))) → c(DBL(z0))
418.99/127.09
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
418.99/127.09
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
418.99/127.09
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
418.99/127.09
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
418.99/127.09
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
418.99/127.09
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
418.99/127.09
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
418.99/127.09
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
418.99/127.09
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
418.99/127.09
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
418.99/127.09
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
418.99/127.09
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
418.99/127.09
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
418.99/127.09
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
418.99/127.09
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
418.99/127.09
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)), ACTIVE(quote(0)))
418.99/127.09
ACTIVE(dbl(quote(s(z0)))) → c17(DBL(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
418.99/127.09
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
418.99/127.09
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
418.99/127.09
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
418.99/127.09
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
418.99/127.09
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
418.99/127.09
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
418.99/127.09
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
418.99/127.09
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
418.99/127.09
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
418.99/127.09
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
418.99/127.09
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
418.99/127.09
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
418.99/127.09
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
418.99/127.09
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
418.99/127.09
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
418.99/127.09
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
418.99/127.09
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
418.99/127.09
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
418.99/127.09
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
418.99/127.09
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
418.99/127.09
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
418.99/127.09
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)), ACTIVE(quote(0)))
418.99/127.09
ACTIVE(dbls(quote(s(z0)))) → c18(DBLS(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
418.99/127.09
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
418.99/127.09
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
418.99/127.09
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
418.99/127.09
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
418.99/127.09
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
418.99/127.09
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
418.99/127.09
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
418.99/127.09
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
418.99/127.09
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
418.99/127.09
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
418.99/127.09
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
418.99/127.09
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
418.99/127.09
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
418.99/127.09
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
418.99/127.09
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
418.99/127.09
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
418.99/127.09
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
418.99/127.09
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
418.99/127.09
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
418.99/127.09
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
418.99/127.09
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
418.99/127.09
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
418.99/127.09
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
418.99/127.09
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
418.99/127.09
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
418.99/127.09
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
418.99/127.09
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
418.99/127.09
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1), ACTIVE(quote(0)))
418.99/127.09
ACTIVE(indx(quote(s(z0)), x1)) → c21(INDX(mark(s1(quote(z0))), x1), ACTIVE(quote(s(z0))))
418.99/127.09
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
418.99/127.09
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
418.99/127.09
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
418.99/127.09
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
418.99/127.09
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
418.99/127.09
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
418.99/127.09
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
418.99/127.09
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
418.99/127.09
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
418.99/127.09
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
418.99/127.09
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
418.99/127.09
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
418.99/127.09
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
418.99/127.09
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
418.99/127.09
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
418.99/127.09
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
418.99/127.09
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
418.99/127.09
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
418.99/127.09
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
418.99/127.09
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
418.99/127.09
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
418.99/127.09
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
418.99/127.09
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
418.99/127.09
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
418.99/127.09
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
418.99/127.09
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
418.99/127.09
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
418.99/127.09
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
418.99/127.09
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
418.99/127.09
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
418.99/127.09
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
418.99/127.09
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
418.99/127.09
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
418.99/127.09
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)), ACTIVE(quote(0)))
418.99/127.09
ACTIVE(dbl1(quote(s(z0)))) → c22(DBL1(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
418.99/127.09
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
418.99/127.09
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
418.99/127.09
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
418.99/127.09
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
418.99/127.09
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
418.99/127.09
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
418.99/127.09
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
418.99/127.09
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
418.99/127.09
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
418.99/127.09
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
418.99/127.09
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
418.99/127.09
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
418.99/127.09
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
418.99/127.09
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
418.99/127.09
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
418.99/127.09
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
418.99/127.09
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
418.99/127.09
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
418.99/127.09
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
418.99/127.09
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
418.99/127.09
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
418.99/127.09
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
418.99/127.09
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
418.99/127.09
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
418.99/127.09
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
418.99/127.09
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
418.99/127.09
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
418.99/127.09
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
418.99/127.09
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
418.99/127.09
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
418.99/127.09
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
418.99/127.09
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
418.99/127.09
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
418.99/127.09
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
418.99/127.09
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
418.99/127.09
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
418.99/127.09
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
418.99/127.09
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
418.99/127.09
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
418.99/127.09
ACTIVE(s1(quote(0))) → c23(S1(mark(01)), ACTIVE(quote(0)))
418.99/127.09
ACTIVE(s1(quote(s(z0)))) → c23(S1(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
418.99/127.09
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
418.99/127.09
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
418.99/127.09
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
418.99/127.09
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
418.99/127.09
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
418.99/127.09
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
418.99/127.09
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
418.99/127.09
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
418.99/127.09
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
418.99/127.09
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
418.99/127.09
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
418.99/127.09
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
418.99/127.09
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
418.99/127.09
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
418.99/127.09
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
418.99/127.09
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
418.99/127.09
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
418.99/127.09
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
418.99/127.09
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
418.99/127.09
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
418.99/127.09
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
418.99/127.09
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
418.99/127.09
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
418.99/127.09
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
418.99/127.09
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
418.99/127.09
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
S tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
418.99/127.09
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
418.99/127.09
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
418.99/127.09
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
418.99/127.09
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
418.99/127.09
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
418.99/127.09
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
418.99/127.09
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
418.99/127.09
ACTIVE(quote(z0)) → c26(QUOTE(active(z0)), ACTIVE(z0))
418.99/127.09
DBL(mark(z0)) → c27(DBL(z0))
418.99/127.09
DBL(ok(z0)) → c28(DBL(z0))
418.99/127.09
DBLS(mark(z0)) → c29(DBLS(z0))
418.99/127.09
DBLS(ok(z0)) → c30(DBLS(z0))
418.99/127.09
SEL(mark(z0), z1) → c31(SEL(z0, z1))
418.99/127.09
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
418.99/127.09
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
418.99/127.09
INDX(mark(z0), z1) → c34(INDX(z0, z1))
418.99/127.09
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
418.99/127.09
DBL1(mark(z0)) → c36(DBL1(z0))
418.99/127.09
DBL1(ok(z0)) → c37(DBL1(z0))
418.99/127.09
S1(mark(z0)) → c38(S1(z0))
418.99/127.09
S1(ok(z0)) → c39(S1(z0))
418.99/127.09
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
418.99/127.09
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
418.99/127.09
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
418.99/127.09
QUOTE(mark(z0)) → c43(QUOTE(z0))
418.99/127.09
QUOTE(ok(z0)) → c44(QUOTE(z0))
418.99/127.09
PROPER(dbl(z0)) → c45(DBL(proper(z0)), PROPER(z0))
418.99/127.09
PROPER(s(z0)) → c47(S(proper(z0)), PROPER(z0))
418.99/127.09
PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
418.99/127.09
PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
418.99/127.09
PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
418.99/127.09
PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
418.99/127.09
PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
418.99/127.09
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
418.99/127.09
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
418.99/127.09
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
418.99/127.09
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
418.99/127.09
S(ok(z0)) → c59(S(z0))
418.99/127.09
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
418.99/127.09
FROM(ok(z0)) → c61(FROM(z0))
418.99/127.09
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
418.99/127.09
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
418.99/127.09
ACTIVE(from(z0)) → c8(S(z0))
418.99/127.09
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
418.99/127.09
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
418.99/127.09
ACTIVE(dbl(s(z0))) → c(DBL(z0))
418.99/127.09
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
418.99/127.09
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
418.99/127.09
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
418.99/127.09
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
418.99/127.09
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
418.99/127.09
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
418.99/127.09
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
418.99/127.09
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
418.99/127.09
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
418.99/127.09
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
418.99/127.09
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
418.99/127.09
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
418.99/127.09
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
418.99/127.09
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
418.99/127.09
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
418.99/127.09
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)), ACTIVE(quote(0)))
418.99/127.09
ACTIVE(dbl(quote(s(z0)))) → c17(DBL(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
418.99/127.09
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
418.99/127.09
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
418.99/127.09
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
418.99/127.09
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
418.99/127.09
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
418.99/127.09
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
418.99/127.09
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
418.99/127.09
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
418.99/127.09
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
418.99/127.09
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
418.99/127.09
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
418.99/127.09
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
418.99/127.09
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
418.99/127.09
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
418.99/127.09
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
418.99/127.09
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
418.99/127.09
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
418.99/127.09
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
418.99/127.09
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
418.99/127.09
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
418.99/127.09
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
418.99/127.09
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)), ACTIVE(quote(0)))
418.99/127.09
ACTIVE(dbls(quote(s(z0)))) → c18(DBLS(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
418.99/127.09
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
418.99/127.09
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
418.99/127.09
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
418.99/127.09
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
418.99/127.09
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
418.99/127.09
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
418.99/127.09
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
418.99/127.09
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
418.99/127.09
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
418.99/127.09
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
418.99/127.09
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
418.99/127.09
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
418.99/127.09
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
418.99/127.09
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
418.99/127.09
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
418.99/127.09
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
418.99/127.09
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
418.99/127.09
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
418.99/127.09
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
418.99/127.09
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
418.99/127.09
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
418.99/127.09
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
418.99/127.09
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
418.99/127.09
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
418.99/127.09
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
418.99/127.09
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
418.99/127.09
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
418.99/127.09
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1), ACTIVE(quote(0)))
418.99/127.09
ACTIVE(indx(quote(s(z0)), x1)) → c21(INDX(mark(s1(quote(z0))), x1), ACTIVE(quote(s(z0))))
418.99/127.09
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
418.99/127.09
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
418.99/127.09
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
418.99/127.09
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
418.99/127.09
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
418.99/127.09
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
418.99/127.09
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
418.99/127.09
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
418.99/127.09
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
418.99/127.09
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
418.99/127.09
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
418.99/127.09
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
418.99/127.09
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
418.99/127.09
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
418.99/127.09
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
418.99/127.09
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
418.99/127.09
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
418.99/127.09
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
418.99/127.09
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
418.99/127.09
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
418.99/127.09
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
418.99/127.09
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
418.99/127.09
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
418.99/127.09
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
418.99/127.09
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
418.99/127.09
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
418.99/127.09
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
418.99/127.09
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
418.99/127.09
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
418.99/127.09
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
418.99/127.09
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
418.99/127.09
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
418.99/127.09
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
418.99/127.09
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)), ACTIVE(quote(0)))
418.99/127.09
ACTIVE(dbl1(quote(s(z0)))) → c22(DBL1(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
418.99/127.09
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
418.99/127.09
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
418.99/127.09
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
418.99/127.09
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
418.99/127.09
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
418.99/127.09
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
418.99/127.09
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
418.99/127.09
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
418.99/127.09
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
418.99/127.09
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
418.99/127.09
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
418.99/127.09
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
418.99/127.09
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
418.99/127.09
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
418.99/127.09
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
418.99/127.09
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
418.99/127.09
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
418.99/127.09
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
418.99/127.09
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
418.99/127.09
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
418.99/127.09
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
418.99/127.09
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
418.99/127.09
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
418.99/127.09
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
418.99/127.09
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
418.99/127.09
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
418.99/127.09
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
418.99/127.09
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
418.99/127.09
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
418.99/127.09
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
418.99/127.09
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
418.99/127.09
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
418.99/127.09
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
418.99/127.09
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
418.99/127.09
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
418.99/127.09
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
418.99/127.09
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
418.99/127.09
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
418.99/127.09
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
418.99/127.09
ACTIVE(s1(quote(0))) → c23(S1(mark(01)), ACTIVE(quote(0)))
418.99/127.09
ACTIVE(s1(quote(s(z0)))) → c23(S1(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
418.99/127.09
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
418.99/127.09
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
418.99/127.09
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
418.99/127.09
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
418.99/127.09
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
418.99/127.09
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
418.99/127.09
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
418.99/127.09
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
418.99/127.09
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
418.99/127.09
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
418.99/127.09
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
418.99/127.09
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
418.99/127.09
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
418.99/127.09
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
418.99/127.09
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
418.99/127.09
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
418.99/127.09
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
418.99/127.09
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
418.99/127.09
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
418.99/127.09
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
418.99/127.09
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
418.99/127.09
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
418.99/127.09
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
418.99/127.09
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
418.99/127.09
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
418.99/127.09
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
ACTIVE, DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, PROPER, S, CONS, FROM, TOP
Compound Symbols:
c5, c12, c15, c16, c19, c20, c24, c25, c26, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c45, c47, c48, c50, c51, c52, c53, c54, c56, c57, c58, c59, c60, c61, c62, c63, c8, c, c17, c17, c1, c18, c18, c2, c21, c21, c3, c22, c22, c4, c23, c23, c6
418.99/127.09
418.99/127.09
(37) CdtNarrowingProof (BOTH BOUNDS(ID, ID) transformation)
Use narrowing to replace
ACTIVE(
quote(
z0)) →
c26(
QUOTE(
active(
z0)),
ACTIVE(
z0)) by
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)), ACTIVE(dbl(0)))
418.99/127.09
ACTIVE(quote(dbl(s(z0)))) → c26(QUOTE(mark(s(s(dbl(z0))))), ACTIVE(dbl(s(z0))))
418.99/127.09
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)), ACTIVE(dbls(nil)))
418.99/127.09
ACTIVE(quote(dbls(cons(z0, z1)))) → c26(QUOTE(mark(cons(dbl(z0), dbls(z1)))), ACTIVE(dbls(cons(z0, z1))))
418.99/127.09
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
418.99/127.09
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
418.99/127.09
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)), ACTIVE(indx(nil, z0)))
418.99/127.09
ACTIVE(quote(indx(cons(z0, z1), z2))) → c26(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))), ACTIVE(indx(cons(z0, z1), z2)))
418.99/127.09
ACTIVE(quote(from(z0))) → c26(QUOTE(mark(cons(z0, from(s(z0))))), ACTIVE(from(z0)))
418.99/127.09
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)), ACTIVE(dbl1(0)))
418.99/127.09
ACTIVE(quote(dbl1(s(z0)))) → c26(QUOTE(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
418.99/127.09
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
418.99/127.09
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
418.99/127.09
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)), ACTIVE(quote(0)))
418.99/127.09
ACTIVE(quote(quote(s(z0)))) → c26(QUOTE(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
418.99/127.09
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
418.99/127.09
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
418.99/127.09
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
418.99/127.09
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
418.99/127.09
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
418.99/127.09
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
418.99/127.09
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
418.99/127.09
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
418.99/127.09
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
418.99/127.09
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
418.99/127.09
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
418.99/127.09
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
418.99/127.09
418.99/127.09
(38) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
418.99/127.09
active(dbl(s(z0))) → mark(s(s(dbl(z0))))
418.99/127.09
active(dbls(nil)) → mark(nil)
418.99/127.09
active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
418.99/127.09
active(sel(0, cons(z0, z1))) → mark(z0)
418.99/127.09
active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
418.99/127.09
active(indx(nil, z0)) → mark(nil)
418.99/127.09
active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
418.99/127.09
active(from(z0)) → mark(cons(z0, from(s(z0))))
418.99/127.09
active(dbl1(0)) → mark(01)
418.99/127.09
active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
418.99/127.09
active(sel1(0, cons(z0, z1))) → mark(z0)
418.99/127.09
active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
418.99/127.09
active(quote(0)) → mark(01)
418.99/127.09
active(quote(s(z0))) → mark(s1(quote(z0)))
418.99/127.09
active(quote(dbl(z0))) → mark(dbl1(z0))
418.99/127.09
active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
418.99/127.09
active(dbl(z0)) → dbl(active(z0))
418.99/127.09
active(dbls(z0)) → dbls(active(z0))
418.99/127.09
active(sel(z0, z1)) → sel(active(z0), z1)
418.99/127.09
active(sel(z0, z1)) → sel(z0, active(z1))
418.99/127.09
active(indx(z0, z1)) → indx(active(z0), z1)
418.99/127.09
active(dbl1(z0)) → dbl1(active(z0))
418.99/127.09
active(s1(z0)) → s1(active(z0))
418.99/127.09
active(sel1(z0, z1)) → sel1(active(z0), z1)
418.99/127.09
active(sel1(z0, z1)) → sel1(z0, active(z1))
418.99/127.09
active(quote(z0)) → quote(active(z0))
418.99/127.09
dbl(mark(z0)) → mark(dbl(z0))
418.99/127.09
dbl(ok(z0)) → ok(dbl(z0))
418.99/127.09
dbls(mark(z0)) → mark(dbls(z0))
418.99/127.09
dbls(ok(z0)) → ok(dbls(z0))
418.99/127.09
sel(mark(z0), z1) → mark(sel(z0, z1))
418.99/127.09
sel(z0, mark(z1)) → mark(sel(z0, z1))
418.99/127.09
sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
418.99/127.09
indx(mark(z0), z1) → mark(indx(z0, z1))
418.99/127.09
indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
418.99/127.09
dbl1(mark(z0)) → mark(dbl1(z0))
418.99/127.09
dbl1(ok(z0)) → ok(dbl1(z0))
418.99/127.09
s1(mark(z0)) → mark(s1(z0))
418.99/127.09
s1(ok(z0)) → ok(s1(z0))
418.99/127.09
sel1(mark(z0), z1) → mark(sel1(z0, z1))
418.99/127.09
sel1(z0, mark(z1)) → mark(sel1(z0, z1))
418.99/127.09
sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
418.99/127.09
quote(mark(z0)) → mark(quote(z0))
418.99/127.09
quote(ok(z0)) → ok(quote(z0))
418.99/127.09
proper(dbl(z0)) → dbl(proper(z0))
418.99/127.09
proper(0) → ok(0)
418.99/127.09
proper(s(z0)) → s(proper(z0))
418.99/127.09
proper(dbls(z0)) → dbls(proper(z0))
418.99/127.09
proper(nil) → ok(nil)
418.99/127.09
proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
418.99/127.09
proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
418.99/127.09
proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
418.99/127.09
proper(from(z0)) → from(proper(z0))
418.99/127.09
proper(dbl1(z0)) → dbl1(proper(z0))
418.99/127.09
proper(01) → ok(01)
418.99/127.09
proper(s1(z0)) → s1(proper(z0))
418.99/127.09
proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
418.99/127.09
proper(quote(z0)) → quote(proper(z0))
418.99/127.09
s(ok(z0)) → ok(s(z0))
418.99/127.09
cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
418.99/127.09
from(ok(z0)) → ok(from(z0))
418.99/127.10
top(mark(z0)) → top(proper(z0))
418.99/127.10
top(ok(z0)) → top(active(z0))
Tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
418.99/127.10
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
418.99/127.10
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
418.99/127.10
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
418.99/127.10
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
418.99/127.10
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
418.99/127.10
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
418.99/127.10
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
418.99/127.10
DBL(mark(z0)) → c27(DBL(z0))
418.99/127.10
DBL(ok(z0)) → c28(DBL(z0))
418.99/127.10
DBLS(mark(z0)) → c29(DBLS(z0))
418.99/127.10
DBLS(ok(z0)) → c30(DBLS(z0))
418.99/127.10
SEL(mark(z0), z1) → c31(SEL(z0, z1))
418.99/127.10
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
418.99/127.10
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
418.99/127.10
INDX(mark(z0), z1) → c34(INDX(z0, z1))
418.99/127.10
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
418.99/127.10
DBL1(mark(z0)) → c36(DBL1(z0))
418.99/127.10
DBL1(ok(z0)) → c37(DBL1(z0))
418.99/127.10
S1(mark(z0)) → c38(S1(z0))
418.99/127.10
S1(ok(z0)) → c39(S1(z0))
418.99/127.10
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
418.99/127.10
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
418.99/127.10
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
418.99/127.10
QUOTE(mark(z0)) → c43(QUOTE(z0))
418.99/127.10
QUOTE(ok(z0)) → c44(QUOTE(z0))
418.99/127.10
PROPER(dbl(z0)) → c45(DBL(proper(z0)), PROPER(z0))
418.99/127.10
PROPER(s(z0)) → c47(S(proper(z0)), PROPER(z0))
419.38/127.10
PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
419.38/127.10
PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.10
PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.10
PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.10
PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
419.38/127.10
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
419.38/127.10
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
419.38/127.10
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.10
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
419.38/127.10
S(ok(z0)) → c59(S(z0))
419.38/127.10
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.38/127.10
FROM(ok(z0)) → c61(FROM(z0))
419.38/127.10
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
419.38/127.10
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.38/127.10
ACTIVE(from(z0)) → c8(S(z0))
419.38/127.10
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.38/127.10
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.38/127.10
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.38/127.10
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.38/127.10
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.38/127.10
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.38/127.10
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.38/127.10
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.38/127.10
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.38/127.10
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.38/127.10
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.38/127.10
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.38/127.10
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.38/127.10
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.38/127.10
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.10
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.10
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.10
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.10
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)), ACTIVE(quote(0)))
419.38/127.10
ACTIVE(dbl(quote(s(z0)))) → c17(DBL(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
419.38/127.10
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.10
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.10
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.10
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.10
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.10
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.10
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.10
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.10
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.10
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.10
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.10
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.10
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.38/127.10
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.38/127.10
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.38/127.10
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.38/127.10
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.38/127.10
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.10
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.10
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.10
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.10
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)), ACTIVE(quote(0)))
419.38/127.10
ACTIVE(dbls(quote(s(z0)))) → c18(DBLS(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
419.38/127.10
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.10
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.10
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.10
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.10
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.10
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.10
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.10
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.10
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.10
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.10
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.10
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.10
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.38/127.10
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.38/127.10
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.38/127.10
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.10
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.38/127.10
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.38/127.10
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.38/127.10
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.10
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.38/127.10
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.38/127.10
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.38/127.10
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.10
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.10
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.10
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.10
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1), ACTIVE(quote(0)))
419.38/127.10
ACTIVE(indx(quote(s(z0)), x1)) → c21(INDX(mark(s1(quote(z0))), x1), ACTIVE(quote(s(z0))))
419.38/127.10
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.38/127.10
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.38/127.10
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.38/127.10
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.38/127.10
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.38/127.10
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.38/127.10
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.38/127.10
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.38/127.10
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.38/127.10
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.38/127.10
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.38/127.10
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.38/127.10
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.38/127.10
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.38/127.10
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.38/127.10
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.38/127.10
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.38/127.10
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.10
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.10
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.10
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.10
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.38/127.10
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.38/127.10
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.38/127.10
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.38/127.10
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.38/127.10
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.10
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.38/127.10
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.38/127.10
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.10
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.10
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.10
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.10
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)), ACTIVE(quote(0)))
419.38/127.10
ACTIVE(dbl1(quote(s(z0)))) → c22(DBL1(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
419.38/127.10
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.10
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.10
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.10
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.10
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.10
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.10
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.10
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.10
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.10
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.10
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.11
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.11
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.38/127.11
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.38/127.11
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.38/127.11
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.38/127.11
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.38/127.11
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.38/127.11
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.38/127.11
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.38/127.11
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.11
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.38/127.11
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.11
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.38/127.11
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.11
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.38/127.11
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.38/127.11
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.11
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.38/127.11
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.11
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.11
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.38/127.11
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.38/127.11
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.38/127.11
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.11
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.11
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.11
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.11
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.11
ACTIVE(s1(quote(0))) → c23(S1(mark(01)), ACTIVE(quote(0)))
419.38/127.11
ACTIVE(s1(quote(s(z0)))) → c23(S1(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
419.38/127.11
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.11
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.11
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.11
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.11
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.11
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.11
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.11
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.11
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.11
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.11
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.11
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.11
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.38/127.11
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.38/127.11
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.38/127.11
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.38/127.11
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.38/127.11
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.38/127.11
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.11
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.38/127.11
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.11
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.11
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.38/127.11
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.38/127.11
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.38/127.11
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.38/127.11
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)), ACTIVE(dbl(0)))
419.38/127.11
ACTIVE(quote(dbl(s(z0)))) → c26(QUOTE(mark(s(s(dbl(z0))))), ACTIVE(dbl(s(z0))))
419.38/127.11
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)), ACTIVE(dbls(nil)))
419.38/127.11
ACTIVE(quote(dbls(cons(z0, z1)))) → c26(QUOTE(mark(cons(dbl(z0), dbls(z1)))), ACTIVE(dbls(cons(z0, z1))))
419.38/127.11
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.11
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.11
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)), ACTIVE(indx(nil, z0)))
419.38/127.11
ACTIVE(quote(indx(cons(z0, z1), z2))) → c26(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))), ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.11
ACTIVE(quote(from(z0))) → c26(QUOTE(mark(cons(z0, from(s(z0))))), ACTIVE(from(z0)))
419.38/127.11
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)), ACTIVE(dbl1(0)))
419.38/127.11
ACTIVE(quote(dbl1(s(z0)))) → c26(QUOTE(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
419.38/127.11
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.11
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.11
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)), ACTIVE(quote(0)))
419.38/127.11
ACTIVE(quote(quote(s(z0)))) → c26(QUOTE(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
419.38/127.11
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.11
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.11
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.11
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.11
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.11
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.11
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.11
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.11
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.11
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.11
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.11
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
S tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.38/127.11
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.38/127.11
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.38/127.11
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.38/127.11
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.38/127.11
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.38/127.11
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.38/127.11
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.38/127.11
DBL(mark(z0)) → c27(DBL(z0))
419.38/127.11
DBL(ok(z0)) → c28(DBL(z0))
419.38/127.11
DBLS(mark(z0)) → c29(DBLS(z0))
419.38/127.11
DBLS(ok(z0)) → c30(DBLS(z0))
419.38/127.11
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.38/127.11
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.38/127.11
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.38/127.11
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.38/127.11
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.38/127.11
DBL1(mark(z0)) → c36(DBL1(z0))
419.38/127.11
DBL1(ok(z0)) → c37(DBL1(z0))
419.38/127.11
S1(mark(z0)) → c38(S1(z0))
419.38/127.11
S1(ok(z0)) → c39(S1(z0))
419.38/127.11
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.38/127.11
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.38/127.11
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.38/127.11
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.38/127.11
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.38/127.11
PROPER(dbl(z0)) → c45(DBL(proper(z0)), PROPER(z0))
419.38/127.11
PROPER(s(z0)) → c47(S(proper(z0)), PROPER(z0))
419.38/127.11
PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
419.38/127.11
PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.11
PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.11
PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.11
PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
419.38/127.11
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
419.38/127.11
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
419.38/127.11
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.11
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
419.38/127.11
S(ok(z0)) → c59(S(z0))
419.38/127.11
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.38/127.11
FROM(ok(z0)) → c61(FROM(z0))
419.38/127.11
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
419.38/127.11
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.38/127.11
ACTIVE(from(z0)) → c8(S(z0))
419.38/127.11
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.38/127.11
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.38/127.11
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.38/127.11
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.38/127.11
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.38/127.11
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.38/127.11
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.38/127.11
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.38/127.11
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.38/127.11
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.38/127.11
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.38/127.11
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.38/127.11
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.38/127.11
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.38/127.11
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.11
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.11
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.11
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.11
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)), ACTIVE(quote(0)))
419.38/127.11
ACTIVE(dbl(quote(s(z0)))) → c17(DBL(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
419.38/127.11
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.11
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.11
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.11
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.11
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.11
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.11
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.11
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.11
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.11
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.11
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.11
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.11
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.38/127.11
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.38/127.11
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.38/127.11
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.38/127.11
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.38/127.11
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.11
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.11
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.11
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.11
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)), ACTIVE(quote(0)))
419.38/127.11
ACTIVE(dbls(quote(s(z0)))) → c18(DBLS(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
419.38/127.11
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.11
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.11
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.11
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.11
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.11
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.11
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.11
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.11
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.11
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.11
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.11
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.11
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.38/127.11
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.38/127.11
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.38/127.11
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.11
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.38/127.11
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.38/127.11
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.38/127.11
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.11
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.38/127.11
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.38/127.11
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.38/127.11
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.11
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.11
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.11
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.11
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1), ACTIVE(quote(0)))
419.38/127.11
ACTIVE(indx(quote(s(z0)), x1)) → c21(INDX(mark(s1(quote(z0))), x1), ACTIVE(quote(s(z0))))
419.38/127.11
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.38/127.11
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.38/127.11
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.38/127.11
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.38/127.11
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.38/127.11
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.38/127.11
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.38/127.11
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.38/127.11
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.38/127.11
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.38/127.11
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.38/127.11
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.38/127.11
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.38/127.11
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.38/127.11
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.38/127.11
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.38/127.11
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.38/127.11
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.11
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.11
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.11
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.11
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.38/127.11
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.38/127.11
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.38/127.11
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.38/127.11
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.38/127.11
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.11
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.38/127.11
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.38/127.11
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.11
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.11
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.11
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.11
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)), ACTIVE(quote(0)))
419.38/127.11
ACTIVE(dbl1(quote(s(z0)))) → c22(DBL1(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
419.38/127.11
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.11
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.11
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.11
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.11
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.11
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.11
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.11
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.11
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.11
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.11
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.11
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.11
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.38/127.11
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.38/127.11
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.38/127.11
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.38/127.11
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.38/127.11
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.38/127.11
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.38/127.11
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.38/127.11
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.11
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.38/127.11
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.11
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.38/127.11
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.11
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.38/127.11
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.38/127.11
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.11
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.38/127.11
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.11
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.11
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.38/127.11
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.38/127.11
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.38/127.11
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.11
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.11
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.11
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.11
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.11
ACTIVE(s1(quote(0))) → c23(S1(mark(01)), ACTIVE(quote(0)))
419.38/127.11
ACTIVE(s1(quote(s(z0)))) → c23(S1(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
419.38/127.11
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.11
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.11
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.11
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.11
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.11
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.11
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.11
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.11
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.11
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.11
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.11
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.11
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.38/127.11
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.38/127.11
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.38/127.11
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.38/127.11
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.38/127.11
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.38/127.11
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.11
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.38/127.11
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.11
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.11
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.38/127.11
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.38/127.11
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.38/127.11
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.38/127.11
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)), ACTIVE(dbl(0)))
419.38/127.11
ACTIVE(quote(dbl(s(z0)))) → c26(QUOTE(mark(s(s(dbl(z0))))), ACTIVE(dbl(s(z0))))
419.38/127.11
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)), ACTIVE(dbls(nil)))
419.38/127.11
ACTIVE(quote(dbls(cons(z0, z1)))) → c26(QUOTE(mark(cons(dbl(z0), dbls(z1)))), ACTIVE(dbls(cons(z0, z1))))
419.38/127.11
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.11
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.11
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)), ACTIVE(indx(nil, z0)))
419.38/127.11
ACTIVE(quote(indx(cons(z0, z1), z2))) → c26(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))), ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.11
ACTIVE(quote(from(z0))) → c26(QUOTE(mark(cons(z0, from(s(z0))))), ACTIVE(from(z0)))
419.38/127.11
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)), ACTIVE(dbl1(0)))
419.38/127.11
ACTIVE(quote(dbl1(s(z0)))) → c26(QUOTE(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
419.38/127.11
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.11
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.11
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)), ACTIVE(quote(0)))
419.38/127.11
ACTIVE(quote(quote(s(z0)))) → c26(QUOTE(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
419.38/127.11
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.11
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.11
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.11
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.11
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.11
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.11
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.11
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.11
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.11
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.11
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.11
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
ACTIVE, DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, PROPER, S, CONS, FROM, TOP
Compound Symbols:
c5, c12, c15, c16, c19, c20, c24, c25, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c45, c47, c48, c50, c51, c52, c53, c54, c56, c57, c58, c59, c60, c61, c62, c63, c8, c, c17, c17, c1, c18, c18, c2, c21, c21, c3, c22, c22, c4, c23, c23, c6, c26
419.38/127.11
419.38/127.11
(39) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID) transformation)
Removed 10 trailing tuple parts
419.38/127.11
419.38/127.11
(40) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
419.38/127.11
active(dbl(s(z0))) → mark(s(s(dbl(z0))))
419.38/127.11
active(dbls(nil)) → mark(nil)
419.38/127.11
active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
419.38/127.11
active(sel(0, cons(z0, z1))) → mark(z0)
419.38/127.11
active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
419.38/127.11
active(indx(nil, z0)) → mark(nil)
419.38/127.11
active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
419.38/127.11
active(from(z0)) → mark(cons(z0, from(s(z0))))
419.38/127.11
active(dbl1(0)) → mark(01)
419.38/127.11
active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
419.38/127.11
active(sel1(0, cons(z0, z1))) → mark(z0)
419.38/127.11
active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
419.38/127.11
active(quote(0)) → mark(01)
419.38/127.11
active(quote(s(z0))) → mark(s1(quote(z0)))
419.38/127.11
active(quote(dbl(z0))) → mark(dbl1(z0))
419.38/127.11
active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
419.38/127.11
active(dbl(z0)) → dbl(active(z0))
419.38/127.11
active(dbls(z0)) → dbls(active(z0))
419.38/127.11
active(sel(z0, z1)) → sel(active(z0), z1)
419.38/127.11
active(sel(z0, z1)) → sel(z0, active(z1))
419.38/127.11
active(indx(z0, z1)) → indx(active(z0), z1)
419.38/127.11
active(dbl1(z0)) → dbl1(active(z0))
419.38/127.11
active(s1(z0)) → s1(active(z0))
419.38/127.11
active(sel1(z0, z1)) → sel1(active(z0), z1)
419.38/127.11
active(sel1(z0, z1)) → sel1(z0, active(z1))
419.38/127.11
active(quote(z0)) → quote(active(z0))
419.38/127.11
dbl(mark(z0)) → mark(dbl(z0))
419.38/127.11
dbl(ok(z0)) → ok(dbl(z0))
419.38/127.11
dbls(mark(z0)) → mark(dbls(z0))
419.38/127.11
dbls(ok(z0)) → ok(dbls(z0))
419.38/127.11
sel(mark(z0), z1) → mark(sel(z0, z1))
419.38/127.11
sel(z0, mark(z1)) → mark(sel(z0, z1))
419.38/127.11
sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
419.38/127.11
indx(mark(z0), z1) → mark(indx(z0, z1))
419.38/127.11
indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
419.38/127.11
dbl1(mark(z0)) → mark(dbl1(z0))
419.38/127.11
dbl1(ok(z0)) → ok(dbl1(z0))
419.38/127.11
s1(mark(z0)) → mark(s1(z0))
419.38/127.11
s1(ok(z0)) → ok(s1(z0))
419.38/127.11
sel1(mark(z0), z1) → mark(sel1(z0, z1))
419.38/127.11
sel1(z0, mark(z1)) → mark(sel1(z0, z1))
419.38/127.11
sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
419.38/127.11
quote(mark(z0)) → mark(quote(z0))
419.38/127.11
quote(ok(z0)) → ok(quote(z0))
419.38/127.11
proper(dbl(z0)) → dbl(proper(z0))
419.38/127.11
proper(0) → ok(0)
419.38/127.11
proper(s(z0)) → s(proper(z0))
419.38/127.11
proper(dbls(z0)) → dbls(proper(z0))
419.38/127.11
proper(nil) → ok(nil)
419.38/127.11
proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
419.38/127.11
proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
419.38/127.11
proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
419.38/127.11
proper(from(z0)) → from(proper(z0))
419.38/127.11
proper(dbl1(z0)) → dbl1(proper(z0))
419.38/127.11
proper(01) → ok(01)
419.38/127.11
proper(s1(z0)) → s1(proper(z0))
419.38/127.11
proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
419.38/127.11
proper(quote(z0)) → quote(proper(z0))
419.38/127.11
s(ok(z0)) → ok(s(z0))
419.38/127.11
cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
419.38/127.11
from(ok(z0)) → ok(from(z0))
419.38/127.11
top(mark(z0)) → top(proper(z0))
419.38/127.11
top(ok(z0)) → top(active(z0))
Tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.38/127.11
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.38/127.11
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.38/127.11
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.38/127.11
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.38/127.11
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.38/127.11
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.38/127.11
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.38/127.11
DBL(mark(z0)) → c27(DBL(z0))
419.38/127.11
DBL(ok(z0)) → c28(DBL(z0))
419.38/127.11
DBLS(mark(z0)) → c29(DBLS(z0))
419.38/127.11
DBLS(ok(z0)) → c30(DBLS(z0))
419.38/127.11
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.38/127.11
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.38/127.11
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.38/127.11
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.38/127.11
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.38/127.11
DBL1(mark(z0)) → c36(DBL1(z0))
419.38/127.11
DBL1(ok(z0)) → c37(DBL1(z0))
419.38/127.11
S1(mark(z0)) → c38(S1(z0))
419.38/127.11
S1(ok(z0)) → c39(S1(z0))
419.38/127.11
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.38/127.11
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.38/127.11
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.38/127.11
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.38/127.11
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.38/127.11
PROPER(dbl(z0)) → c45(DBL(proper(z0)), PROPER(z0))
419.38/127.11
PROPER(s(z0)) → c47(S(proper(z0)), PROPER(z0))
419.38/127.11
PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
419.38/127.11
PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.11
PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.11
PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.11
PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
419.38/127.11
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
419.38/127.11
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
419.38/127.11
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.11
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
419.38/127.11
S(ok(z0)) → c59(S(z0))
419.38/127.11
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.38/127.11
FROM(ok(z0)) → c61(FROM(z0))
419.38/127.11
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
419.38/127.11
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.38/127.11
ACTIVE(from(z0)) → c8(S(z0))
419.38/127.11
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.38/127.11
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.38/127.11
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.38/127.11
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.38/127.11
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.38/127.11
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.38/127.11
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.38/127.11
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.38/127.11
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.38/127.11
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.38/127.11
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.38/127.11
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.38/127.11
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.38/127.11
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.38/127.11
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.11
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.11
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.11
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.11
ACTIVE(dbl(quote(s(z0)))) → c17(DBL(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
419.38/127.11
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.11
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.11
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.11
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.11
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.11
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.11
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.11
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.11
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.11
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.11
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.11
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.11
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.38/127.11
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.38/127.11
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.38/127.11
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.38/127.11
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.38/127.11
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.11
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.11
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.11
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.11
ACTIVE(dbls(quote(s(z0)))) → c18(DBLS(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
419.38/127.11
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.11
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.11
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.11
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.11
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.11
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.11
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.11
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.11
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.11
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.11
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.11
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.11
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.38/127.11
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.38/127.11
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.38/127.11
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.11
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.38/127.11
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.38/127.11
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.38/127.11
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.11
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.38/127.11
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.38/127.11
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.38/127.11
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.11
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.11
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.11
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.11
ACTIVE(indx(quote(s(z0)), x1)) → c21(INDX(mark(s1(quote(z0))), x1), ACTIVE(quote(s(z0))))
419.38/127.11
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.38/127.11
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.38/127.11
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.38/127.11
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.38/127.11
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.38/127.11
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.38/127.11
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.38/127.11
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.38/127.11
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.38/127.11
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.38/127.11
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.38/127.11
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.38/127.11
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.38/127.11
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.38/127.11
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.38/127.11
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.38/127.11
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.38/127.11
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.11
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.11
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.11
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.11
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.38/127.11
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.38/127.11
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.38/127.11
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.38/127.11
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.38/127.11
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.11
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.38/127.11
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.38/127.11
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.11
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.11
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.11
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.11
ACTIVE(dbl1(quote(s(z0)))) → c22(DBL1(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
419.38/127.11
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.11
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.11
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.11
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.11
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.11
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.11
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.11
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.11
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.11
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.11
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.11
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.11
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.38/127.11
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.38/127.11
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.38/127.11
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.38/127.11
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.38/127.11
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.38/127.11
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.38/127.11
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.38/127.11
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.11
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.38/127.11
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.11
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.38/127.11
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.11
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.38/127.11
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.38/127.11
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.11
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.38/127.11
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.11
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.11
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.38/127.11
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.38/127.11
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.38/127.11
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.11
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.11
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.11
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.11
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.11
ACTIVE(s1(quote(s(z0)))) → c23(S1(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
419.38/127.11
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.11
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.11
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.11
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.11
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.11
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.11
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.11
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.11
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.11
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.11
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.11
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.11
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.38/127.11
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.38/127.11
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.38/127.11
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.38/127.11
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.38/127.11
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.38/127.11
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.11
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.38/127.11
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.11
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.11
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.38/127.11
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.38/127.11
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.38/127.11
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.38/127.11
ACTIVE(quote(dbl(s(z0)))) → c26(QUOTE(mark(s(s(dbl(z0))))), ACTIVE(dbl(s(z0))))
419.38/127.11
ACTIVE(quote(dbls(cons(z0, z1)))) → c26(QUOTE(mark(cons(dbl(z0), dbls(z1)))), ACTIVE(dbls(cons(z0, z1))))
419.38/127.11
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.11
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.11
ACTIVE(quote(indx(cons(z0, z1), z2))) → c26(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))), ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.11
ACTIVE(quote(from(z0))) → c26(QUOTE(mark(cons(z0, from(s(z0))))), ACTIVE(from(z0)))
419.38/127.11
ACTIVE(quote(dbl1(s(z0)))) → c26(QUOTE(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
419.38/127.11
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.11
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.11
ACTIVE(quote(quote(s(z0)))) → c26(QUOTE(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
419.38/127.11
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.11
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.11
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.11
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.11
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.11
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.11
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.11
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.11
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.11
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.11
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.11
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.11
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.38/127.11
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.38/127.11
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.38/127.11
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.38/127.11
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.38/127.11
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.38/127.11
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.38/127.11
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.38/127.11
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.38/127.11
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
S tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.38/127.11
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.38/127.11
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.38/127.11
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.38/127.11
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.38/127.11
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.38/127.11
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.38/127.11
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.38/127.11
DBL(mark(z0)) → c27(DBL(z0))
419.38/127.11
DBL(ok(z0)) → c28(DBL(z0))
419.38/127.11
DBLS(mark(z0)) → c29(DBLS(z0))
419.38/127.11
DBLS(ok(z0)) → c30(DBLS(z0))
419.38/127.11
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.38/127.11
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.38/127.11
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.38/127.11
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.38/127.11
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.38/127.11
DBL1(mark(z0)) → c36(DBL1(z0))
419.38/127.11
DBL1(ok(z0)) → c37(DBL1(z0))
419.38/127.11
S1(mark(z0)) → c38(S1(z0))
419.38/127.11
S1(ok(z0)) → c39(S1(z0))
419.38/127.11
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.38/127.11
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.38/127.11
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.38/127.11
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.38/127.11
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.38/127.11
PROPER(dbl(z0)) → c45(DBL(proper(z0)), PROPER(z0))
419.38/127.11
PROPER(s(z0)) → c47(S(proper(z0)), PROPER(z0))
419.38/127.11
PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
419.38/127.11
PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.11
PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.11
PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.11
PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
419.38/127.11
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
419.38/127.11
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
419.38/127.11
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.11
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
419.38/127.11
S(ok(z0)) → c59(S(z0))
419.38/127.11
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.38/127.11
FROM(ok(z0)) → c61(FROM(z0))
419.38/127.11
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
419.38/127.11
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.38/127.11
ACTIVE(from(z0)) → c8(S(z0))
419.38/127.11
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.38/127.11
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.38/127.11
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.38/127.11
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.38/127.11
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.38/127.11
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.38/127.11
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.38/127.11
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.38/127.11
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.38/127.11
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.38/127.11
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.38/127.11
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.38/127.11
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.38/127.11
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.38/127.11
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.11
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.11
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.11
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.11
ACTIVE(dbl(quote(s(z0)))) → c17(DBL(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
419.38/127.11
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.11
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.11
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.11
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.11
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.11
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.11
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.11
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.11
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.11
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.11
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.11
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.11
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.38/127.11
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.38/127.11
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.38/127.11
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.38/127.11
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.38/127.11
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.11
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.11
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.11
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.11
ACTIVE(dbls(quote(s(z0)))) → c18(DBLS(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
419.38/127.11
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.11
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.11
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.11
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.11
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.11
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.11
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.11
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.11
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.11
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.11
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.11
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.11
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.38/127.11
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.38/127.11
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.38/127.11
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.11
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.38/127.11
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.38/127.11
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.38/127.11
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.11
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.38/127.11
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.38/127.11
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.38/127.11
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.11
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.11
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.11
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.11
ACTIVE(indx(quote(s(z0)), x1)) → c21(INDX(mark(s1(quote(z0))), x1), ACTIVE(quote(s(z0))))
419.38/127.11
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.38/127.11
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.38/127.11
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.38/127.11
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.38/127.11
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.38/127.11
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.38/127.11
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.38/127.11
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.38/127.11
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.38/127.11
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.38/127.11
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.38/127.11
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.38/127.11
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.38/127.11
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.38/127.11
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.38/127.11
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.38/127.11
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.38/127.11
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.11
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.11
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.11
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.11
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.38/127.11
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.38/127.11
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.38/127.11
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.38/127.11
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.38/127.11
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.11
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.38/127.11
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.38/127.14
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.14
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.14
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.14
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.14
ACTIVE(dbl1(quote(s(z0)))) → c22(DBL1(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
419.38/127.14
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.14
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.14
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.14
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.14
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.14
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.14
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.14
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.14
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.14
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.14
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.14
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.14
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.38/127.14
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.38/127.14
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.38/127.14
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.38/127.14
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.38/127.14
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.38/127.14
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.38/127.14
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.38/127.14
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.14
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.38/127.14
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.14
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.38/127.14
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.14
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.38/127.14
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.38/127.14
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.14
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.38/127.14
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.14
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.14
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.38/127.14
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.38/127.14
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.38/127.14
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.14
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.14
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.14
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.14
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.14
ACTIVE(s1(quote(s(z0)))) → c23(S1(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
419.38/127.14
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.14
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.14
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.14
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.14
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.14
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.14
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.14
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.14
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.14
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.14
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.14
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.14
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.38/127.14
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.38/127.14
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.38/127.14
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.38/127.14
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.38/127.14
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.38/127.14
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.14
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.38/127.14
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.14
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.14
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.38/127.14
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.38/127.14
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.38/127.14
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.38/127.14
ACTIVE(quote(dbl(s(z0)))) → c26(QUOTE(mark(s(s(dbl(z0))))), ACTIVE(dbl(s(z0))))
419.38/127.14
ACTIVE(quote(dbls(cons(z0, z1)))) → c26(QUOTE(mark(cons(dbl(z0), dbls(z1)))), ACTIVE(dbls(cons(z0, z1))))
419.38/127.14
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.14
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.14
ACTIVE(quote(indx(cons(z0, z1), z2))) → c26(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))), ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.14
ACTIVE(quote(from(z0))) → c26(QUOTE(mark(cons(z0, from(s(z0))))), ACTIVE(from(z0)))
419.38/127.14
ACTIVE(quote(dbl1(s(z0)))) → c26(QUOTE(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
419.38/127.14
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.14
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.14
ACTIVE(quote(quote(s(z0)))) → c26(QUOTE(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
419.38/127.14
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.14
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.14
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.14
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.14
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.14
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.14
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.14
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.14
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.14
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.14
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
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ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
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ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
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ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
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ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
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ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
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ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
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ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
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ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
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ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
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ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
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ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
ACTIVE, DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, PROPER, S, CONS, FROM, TOP
Compound Symbols:
c5, c12, c15, c16, c19, c20, c24, c25, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c45, c47, c48, c50, c51, c52, c53, c54, c56, c57, c58, c59, c60, c61, c62, c63, c8, c, c17, c17, c1, c18, c18, c2, c21, c21, c3, c22, c22, c4, c23, c23, c6, c26, c26
419.38/127.14
419.38/127.14
(41) CdtGraphSplitRhsProof (BOTH BOUNDS(ID, ID) transformation)
Split RHS of tuples not part of any SCC
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(42) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
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active(dbl(s(z0))) → mark(s(s(dbl(z0))))
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active(dbls(nil)) → mark(nil)
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active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
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active(sel(0, cons(z0, z1))) → mark(z0)
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active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
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active(indx(nil, z0)) → mark(nil)
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active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
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active(from(z0)) → mark(cons(z0, from(s(z0))))
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active(dbl1(0)) → mark(01)
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active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
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active(sel1(0, cons(z0, z1))) → mark(z0)
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active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
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active(quote(0)) → mark(01)
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active(quote(s(z0))) → mark(s1(quote(z0)))
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active(quote(dbl(z0))) → mark(dbl1(z0))
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active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
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active(dbl(z0)) → dbl(active(z0))
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active(dbls(z0)) → dbls(active(z0))
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active(sel(z0, z1)) → sel(active(z0), z1)
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active(sel(z0, z1)) → sel(z0, active(z1))
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active(indx(z0, z1)) → indx(active(z0), z1)
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active(dbl1(z0)) → dbl1(active(z0))
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active(s1(z0)) → s1(active(z0))
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active(sel1(z0, z1)) → sel1(active(z0), z1)
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active(sel1(z0, z1)) → sel1(z0, active(z1))
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active(quote(z0)) → quote(active(z0))
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dbl(mark(z0)) → mark(dbl(z0))
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dbl(ok(z0)) → ok(dbl(z0))
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dbls(mark(z0)) → mark(dbls(z0))
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dbls(ok(z0)) → ok(dbls(z0))
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sel(mark(z0), z1) → mark(sel(z0, z1))
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sel(z0, mark(z1)) → mark(sel(z0, z1))
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sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
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indx(mark(z0), z1) → mark(indx(z0, z1))
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indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
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dbl1(mark(z0)) → mark(dbl1(z0))
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dbl1(ok(z0)) → ok(dbl1(z0))
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s1(mark(z0)) → mark(s1(z0))
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s1(ok(z0)) → ok(s1(z0))
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sel1(mark(z0), z1) → mark(sel1(z0, z1))
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sel1(z0, mark(z1)) → mark(sel1(z0, z1))
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sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
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quote(mark(z0)) → mark(quote(z0))
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quote(ok(z0)) → ok(quote(z0))
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proper(dbl(z0)) → dbl(proper(z0))
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proper(0) → ok(0)
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proper(s(z0)) → s(proper(z0))
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proper(dbls(z0)) → dbls(proper(z0))
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proper(nil) → ok(nil)
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proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
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proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
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proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
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proper(from(z0)) → from(proper(z0))
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proper(dbl1(z0)) → dbl1(proper(z0))
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proper(01) → ok(01)
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proper(s1(z0)) → s1(proper(z0))
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proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
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proper(quote(z0)) → quote(proper(z0))
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s(ok(z0)) → ok(s(z0))
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cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
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from(ok(z0)) → ok(from(z0))
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top(mark(z0)) → top(proper(z0))
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top(ok(z0)) → top(active(z0))
Tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
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ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
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ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
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ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
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ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
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ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
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DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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PROPER(dbl(z0)) → c45(DBL(proper(z0)), PROPER(z0))
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PROPER(s(z0)) → c47(S(proper(z0)), PROPER(z0))
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PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
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PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
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PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
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PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
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PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
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TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
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TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
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ACTIVE(from(z0)) → c8(S(z0))
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ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
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ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
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ACTIVE(dbl(s(z0))) → c(DBL(z0))
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ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
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ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
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ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
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ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
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ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
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ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
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ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
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ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
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ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
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ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
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ACTIVE(quote(s(z0))) → c(QUOTE(z0))
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ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
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ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
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ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
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ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
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ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
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ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
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ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
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ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
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ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
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ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
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ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
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ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
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ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
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ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
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ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
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ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
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ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
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ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
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ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
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ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
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ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
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ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
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ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
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ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
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ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
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ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
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ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
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ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
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ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
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ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
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ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
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ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
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ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
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ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
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ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
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ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
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ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
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ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
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ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
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ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
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ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
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ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
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ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
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ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
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ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
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ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.14
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
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ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.14
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
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ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
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ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
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ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
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ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.38/127.14
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.38/127.14
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.38/127.14
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.38/127.14
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.38/127.14
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.38/127.14
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.38/127.14
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.38/127.14
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.38/127.14
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.38/127.14
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.38/127.14
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.38/127.14
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.38/127.14
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.14
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.14
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.14
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.14
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.38/127.14
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.38/127.14
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.38/127.14
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.38/127.14
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.38/127.14
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.14
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.38/127.14
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.38/127.14
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.14
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.14
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.14
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.14
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.14
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.14
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.14
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.14
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.14
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.14
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.14
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.14
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.14
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.14
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.14
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.14
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.38/127.14
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.38/127.14
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.38/127.14
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.38/127.14
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.38/127.14
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.38/127.14
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.38/127.14
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.38/127.14
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.14
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.38/127.14
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.14
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.38/127.14
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.14
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.38/127.14
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.38/127.14
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.14
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.38/127.14
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.14
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.14
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.38/127.14
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.38/127.14
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.38/127.14
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.14
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.14
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.14
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.14
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.14
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.14
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.14
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.14
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.14
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.14
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.14
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.14
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.14
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.14
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.14
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.14
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.14
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.38/127.14
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.38/127.14
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.38/127.14
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.38/127.14
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.38/127.14
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.38/127.14
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.14
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.38/127.14
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.14
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.14
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.38/127.14
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.38/127.14
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.38/127.14
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.38/127.14
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.14
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.14
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.14
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.14
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.14
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.14
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.14
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.14
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.14
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.14
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.14
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.14
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.14
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.14
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.14
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.14
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.38/127.14
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.38/127.14
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.38/127.14
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.38/127.14
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.38/127.14
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.38/127.14
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.38/127.14
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.38/127.14
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.38/127.14
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.38/127.14
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.38/127.14
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.14
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.38/127.14
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.14
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.38/127.14
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.38/127.14
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.38/127.14
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.14
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.38/127.14
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.14
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.38/127.14
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.38/127.14
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.14
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.38/127.14
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.14
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.14
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.38/127.14
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.38/127.14
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.38/127.14
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.38/127.14
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.38/127.14
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
S tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.38/127.14
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.38/127.14
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.38/127.14
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.38/127.14
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.38/127.14
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.38/127.14
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.38/127.14
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.38/127.14
DBL(mark(z0)) → c27(DBL(z0))
419.38/127.14
DBL(ok(z0)) → c28(DBL(z0))
419.38/127.14
DBLS(mark(z0)) → c29(DBLS(z0))
419.38/127.14
DBLS(ok(z0)) → c30(DBLS(z0))
419.38/127.14
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.38/127.14
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.38/127.14
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.38/127.14
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.38/127.14
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.38/127.14
DBL1(mark(z0)) → c36(DBL1(z0))
419.38/127.14
DBL1(ok(z0)) → c37(DBL1(z0))
419.38/127.14
S1(mark(z0)) → c38(S1(z0))
419.38/127.14
S1(ok(z0)) → c39(S1(z0))
419.38/127.14
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.38/127.14
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.38/127.14
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.38/127.14
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.38/127.14
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.38/127.14
PROPER(dbl(z0)) → c45(DBL(proper(z0)), PROPER(z0))
419.38/127.14
PROPER(s(z0)) → c47(S(proper(z0)), PROPER(z0))
419.38/127.14
PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
419.38/127.14
PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.14
PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.14
PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.14
PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
419.38/127.14
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
419.38/127.14
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
419.38/127.14
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.14
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
419.38/127.14
S(ok(z0)) → c59(S(z0))
419.38/127.14
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.38/127.14
FROM(ok(z0)) → c61(FROM(z0))
419.38/127.14
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
419.38/127.14
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.38/127.14
ACTIVE(from(z0)) → c8(S(z0))
419.38/127.14
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.38/127.14
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.38/127.14
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.38/127.14
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.38/127.14
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.38/127.14
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.38/127.14
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.38/127.14
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.38/127.14
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.38/127.14
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.38/127.14
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.38/127.14
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.38/127.14
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.38/127.14
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.38/127.14
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.14
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.14
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.14
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.14
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.14
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.14
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.14
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.14
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.14
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.14
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.14
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.14
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.14
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.14
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.14
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.14
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.38/127.14
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.38/127.14
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.38/127.14
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.38/127.14
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.38/127.14
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.14
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.14
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.14
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.14
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.14
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.14
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.14
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.14
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.14
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.14
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.14
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.14
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.14
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.14
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.14
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.14
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.38/127.14
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.38/127.14
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.38/127.14
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.14
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.38/127.14
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.38/127.14
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.38/127.14
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.14
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.38/127.14
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.38/127.14
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.38/127.14
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.14
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.14
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.14
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.14
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.38/127.14
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.38/127.14
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.38/127.14
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.38/127.14
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.38/127.14
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.38/127.14
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.38/127.14
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.38/127.14
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.38/127.14
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.38/127.14
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.38/127.14
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.38/127.14
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.38/127.14
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.38/127.14
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.38/127.14
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.38/127.14
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.38/127.14
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.14
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.14
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.14
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.14
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.38/127.14
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.38/127.14
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.38/127.14
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.38/127.14
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.38/127.14
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.14
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.38/127.14
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.38/127.14
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.14
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.14
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.14
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.14
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.14
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.14
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.14
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.14
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.14
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.14
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.14
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.14
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.14
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.14
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.14
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.14
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.38/127.14
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.38/127.14
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.38/127.14
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.38/127.14
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.38/127.14
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.38/127.14
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.38/127.14
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.38/127.14
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.14
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.38/127.14
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.14
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.38/127.14
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.14
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.38/127.14
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.38/127.14
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.14
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.38/127.14
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.14
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.14
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.38/127.14
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.38/127.14
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.38/127.14
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.14
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.14
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.14
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.14
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.14
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.14
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.14
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.14
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.14
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.14
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.14
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.14
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.14
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.14
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.14
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.14
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.14
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.38/127.14
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.38/127.14
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.38/127.14
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.38/127.14
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.38/127.14
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.38/127.14
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.14
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.38/127.14
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.14
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.14
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.38/127.14
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.38/127.14
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.38/127.14
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.38/127.14
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.14
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.14
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.14
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.14
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.14
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.14
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.14
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.14
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.14
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.14
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.14
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.14
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.14
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.14
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.14
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.14
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.38/127.14
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.38/127.14
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.38/127.14
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.38/127.14
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.38/127.14
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.38/127.14
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.38/127.14
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.38/127.14
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.38/127.14
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.38/127.14
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.38/127.14
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.14
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.38/127.14
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.14
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.38/127.14
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.38/127.14
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.38/127.14
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.14
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.38/127.14
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.14
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.38/127.14
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.38/127.14
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.14
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.38/127.14
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.14
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.14
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.38/127.14
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.38/127.14
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.38/127.14
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.38/127.14
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.38/127.14
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
ACTIVE, DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, PROPER, S, CONS, FROM, TOP
Compound Symbols:
c5, c12, c15, c16, c19, c20, c24, c25, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c45, c47, c48, c50, c51, c52, c53, c54, c56, c57, c58, c59, c60, c61, c62, c63, c8, c, c17, c17, c1, c18, c18, c2, c21, c21, c3, c22, c22, c4, c23, c23, c6, c26, c26, c7
419.38/127.14
419.38/127.14
(43) CdtNarrowingProof (BOTH BOUNDS(ID, ID) transformation)
Use narrowing to replace
PROPER(
dbl(
z0)) →
c45(
DBL(
proper(
z0)),
PROPER(
z0)) by
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.38/127.14
PROPER(dbl(0)) → c45(DBL(ok(0)), PROPER(0))
419.38/127.14
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.38/127.14
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.38/127.14
PROPER(dbl(nil)) → c45(DBL(ok(nil)), PROPER(nil))
419.38/127.14
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.38/127.14
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.38/127.14
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.38/127.14
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.38/127.14
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.38/127.14
PROPER(dbl(01)) → c45(DBL(ok(01)), PROPER(01))
419.38/127.14
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.38/127.14
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.38/127.14
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.38/127.14
419.38/127.14
(44) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
419.38/127.14
active(dbl(s(z0))) → mark(s(s(dbl(z0))))
419.38/127.14
active(dbls(nil)) → mark(nil)
419.38/127.14
active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
419.38/127.14
active(sel(0, cons(z0, z1))) → mark(z0)
419.38/127.14
active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
419.38/127.14
active(indx(nil, z0)) → mark(nil)
419.38/127.14
active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
419.38/127.14
active(from(z0)) → mark(cons(z0, from(s(z0))))
419.38/127.14
active(dbl1(0)) → mark(01)
419.38/127.14
active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
419.38/127.14
active(sel1(0, cons(z0, z1))) → mark(z0)
419.38/127.14
active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
419.38/127.14
active(quote(0)) → mark(01)
419.38/127.14
active(quote(s(z0))) → mark(s1(quote(z0)))
419.38/127.14
active(quote(dbl(z0))) → mark(dbl1(z0))
419.38/127.14
active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
419.38/127.14
active(dbl(z0)) → dbl(active(z0))
419.38/127.14
active(dbls(z0)) → dbls(active(z0))
419.38/127.14
active(sel(z0, z1)) → sel(active(z0), z1)
419.38/127.14
active(sel(z0, z1)) → sel(z0, active(z1))
419.38/127.14
active(indx(z0, z1)) → indx(active(z0), z1)
419.38/127.14
active(dbl1(z0)) → dbl1(active(z0))
419.38/127.14
active(s1(z0)) → s1(active(z0))
419.38/127.14
active(sel1(z0, z1)) → sel1(active(z0), z1)
419.38/127.14
active(sel1(z0, z1)) → sel1(z0, active(z1))
419.38/127.14
active(quote(z0)) → quote(active(z0))
419.38/127.14
dbl(mark(z0)) → mark(dbl(z0))
419.38/127.14
dbl(ok(z0)) → ok(dbl(z0))
419.38/127.14
dbls(mark(z0)) → mark(dbls(z0))
419.38/127.14
dbls(ok(z0)) → ok(dbls(z0))
419.38/127.14
sel(mark(z0), z1) → mark(sel(z0, z1))
419.38/127.14
sel(z0, mark(z1)) → mark(sel(z0, z1))
419.38/127.14
sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
419.38/127.14
indx(mark(z0), z1) → mark(indx(z0, z1))
419.38/127.14
indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
419.38/127.14
dbl1(mark(z0)) → mark(dbl1(z0))
419.38/127.14
dbl1(ok(z0)) → ok(dbl1(z0))
419.38/127.14
s1(mark(z0)) → mark(s1(z0))
419.38/127.14
s1(ok(z0)) → ok(s1(z0))
419.38/127.14
sel1(mark(z0), z1) → mark(sel1(z0, z1))
419.38/127.14
sel1(z0, mark(z1)) → mark(sel1(z0, z1))
419.38/127.14
sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
419.38/127.14
quote(mark(z0)) → mark(quote(z0))
419.38/127.14
quote(ok(z0)) → ok(quote(z0))
419.38/127.14
proper(dbl(z0)) → dbl(proper(z0))
419.38/127.14
proper(0) → ok(0)
419.38/127.14
proper(s(z0)) → s(proper(z0))
419.38/127.14
proper(dbls(z0)) → dbls(proper(z0))
419.38/127.14
proper(nil) → ok(nil)
419.38/127.14
proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
419.38/127.14
proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
419.38/127.14
proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
419.38/127.14
proper(from(z0)) → from(proper(z0))
419.38/127.14
proper(dbl1(z0)) → dbl1(proper(z0))
419.38/127.14
proper(01) → ok(01)
419.38/127.14
proper(s1(z0)) → s1(proper(z0))
419.38/127.14
proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
419.38/127.14
proper(quote(z0)) → quote(proper(z0))
419.38/127.14
s(ok(z0)) → ok(s(z0))
419.38/127.14
cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
419.38/127.14
from(ok(z0)) → ok(from(z0))
419.38/127.14
top(mark(z0)) → top(proper(z0))
419.38/127.14
top(ok(z0)) → top(active(z0))
Tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.38/127.14
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.38/127.14
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.38/127.14
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.38/127.14
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.38/127.14
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.38/127.14
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.38/127.14
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.38/127.14
DBL(mark(z0)) → c27(DBL(z0))
419.38/127.14
DBL(ok(z0)) → c28(DBL(z0))
419.38/127.14
DBLS(mark(z0)) → c29(DBLS(z0))
419.38/127.14
DBLS(ok(z0)) → c30(DBLS(z0))
419.38/127.14
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.38/127.14
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.38/127.14
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.38/127.14
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.38/127.14
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.38/127.14
DBL1(mark(z0)) → c36(DBL1(z0))
419.38/127.14
DBL1(ok(z0)) → c37(DBL1(z0))
419.38/127.14
S1(mark(z0)) → c38(S1(z0))
419.38/127.14
S1(ok(z0)) → c39(S1(z0))
419.38/127.14
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.38/127.14
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.38/127.14
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.38/127.14
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.38/127.14
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.38/127.14
PROPER(s(z0)) → c47(S(proper(z0)), PROPER(z0))
419.38/127.14
PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
419.38/127.14
PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.14
PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.14
PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.14
PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
419.38/127.14
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
419.38/127.14
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
419.38/127.14
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.14
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
419.38/127.14
S(ok(z0)) → c59(S(z0))
419.38/127.14
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.38/127.14
FROM(ok(z0)) → c61(FROM(z0))
419.38/127.14
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
419.38/127.14
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.38/127.14
ACTIVE(from(z0)) → c8(S(z0))
419.38/127.14
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.38/127.14
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.38/127.14
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.38/127.14
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.38/127.14
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.38/127.14
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.38/127.14
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.38/127.14
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.38/127.14
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.38/127.14
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.38/127.14
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.38/127.14
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.38/127.14
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.38/127.14
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.38/127.14
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.14
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.14
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.14
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.14
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.14
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.14
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.14
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.14
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.14
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.14
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.14
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.14
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.14
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.14
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.14
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.14
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.38/127.14
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.38/127.14
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.38/127.14
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.38/127.14
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.38/127.14
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.14
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.14
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.14
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.14
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.14
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.14
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.14
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.14
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.14
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.14
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.14
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.14
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.14
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.14
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.14
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.14
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.38/127.14
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.38/127.14
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.38/127.14
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.14
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.38/127.14
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.38/127.14
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.38/127.14
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.14
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.38/127.14
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.38/127.14
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.38/127.14
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.14
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.14
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.14
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.14
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.38/127.14
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.38/127.14
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.38/127.14
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.38/127.14
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.38/127.14
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.38/127.14
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.38/127.14
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.38/127.14
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.38/127.14
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.38/127.14
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.38/127.14
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.38/127.15
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.38/127.15
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.38/127.15
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.38/127.15
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.38/127.15
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.38/127.15
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.15
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.15
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.15
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.15
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.38/127.15
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.38/127.15
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.38/127.15
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.38/127.15
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.38/127.15
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.15
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.38/127.15
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.38/127.15
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.15
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.15
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.15
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.15
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.15
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.15
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.15
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.15
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.15
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.15
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.38/127.15
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.38/127.15
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.38/127.15
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.38/127.15
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.38/127.15
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.38/127.15
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.38/127.15
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.38/127.15
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.15
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.38/127.15
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.15
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.38/127.15
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.15
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.38/127.15
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.38/127.15
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.15
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.38/127.15
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.15
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.15
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.38/127.15
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.38/127.15
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.38/127.15
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.15
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.15
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.15
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.15
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.15
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.15
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.15
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.15
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.15
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.15
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.15
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.38/127.15
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.38/127.15
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.38/127.15
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.38/127.15
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.38/127.15
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.38/127.15
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.15
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.38/127.15
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.15
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.15
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.38/127.15
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.38/127.15
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.38/127.15
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.38/127.15
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.15
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.15
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.15
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.15
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.15
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.15
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.15
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.15
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.15
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.15
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.38/127.15
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.38/127.15
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.38/127.15
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.38/127.15
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.38/127.15
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.38/127.15
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.38/127.15
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.38/127.15
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.38/127.15
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.38/127.15
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.38/127.15
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.15
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.38/127.15
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.15
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.38/127.15
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.38/127.15
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.38/127.15
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.15
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.38/127.15
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.15
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.38/127.15
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.38/127.15
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.15
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.38/127.15
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.15
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.15
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.38/127.15
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.38/127.15
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.38/127.15
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.38/127.15
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.38/127.15
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.15
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.38/127.15
PROPER(dbl(0)) → c45(DBL(ok(0)), PROPER(0))
419.38/127.15
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.38/127.15
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.38/127.15
PROPER(dbl(nil)) → c45(DBL(ok(nil)), PROPER(nil))
419.38/127.15
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.38/127.15
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.38/127.15
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.38/127.15
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.38/127.15
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.38/127.15
PROPER(dbl(01)) → c45(DBL(ok(01)), PROPER(01))
419.38/127.15
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.38/127.15
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.38/127.15
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
S tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.38/127.15
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.38/127.15
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.38/127.15
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.38/127.15
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.38/127.15
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.38/127.15
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.38/127.15
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.38/127.15
DBL(mark(z0)) → c27(DBL(z0))
419.38/127.15
DBL(ok(z0)) → c28(DBL(z0))
419.38/127.15
DBLS(mark(z0)) → c29(DBLS(z0))
419.38/127.15
DBLS(ok(z0)) → c30(DBLS(z0))
419.38/127.15
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.38/127.15
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.38/127.15
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.38/127.15
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.38/127.15
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.38/127.15
DBL1(mark(z0)) → c36(DBL1(z0))
419.38/127.15
DBL1(ok(z0)) → c37(DBL1(z0))
419.38/127.15
S1(mark(z0)) → c38(S1(z0))
419.38/127.15
S1(ok(z0)) → c39(S1(z0))
419.38/127.15
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.38/127.15
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.38/127.15
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.38/127.15
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.38/127.15
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.38/127.15
PROPER(s(z0)) → c47(S(proper(z0)), PROPER(z0))
419.38/127.15
PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
419.38/127.15
PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.15
PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.15
PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.15
PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
419.38/127.15
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
419.38/127.15
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
419.38/127.15
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.15
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
419.38/127.15
S(ok(z0)) → c59(S(z0))
419.38/127.15
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.38/127.15
FROM(ok(z0)) → c61(FROM(z0))
419.38/127.15
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
419.38/127.15
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.38/127.15
ACTIVE(from(z0)) → c8(S(z0))
419.38/127.15
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.38/127.15
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.38/127.15
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.38/127.15
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.38/127.15
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.38/127.15
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.38/127.15
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.38/127.15
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.38/127.15
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.38/127.15
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.38/127.15
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.38/127.15
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.38/127.15
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.38/127.15
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.38/127.15
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.15
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.15
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.15
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.15
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.15
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.15
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.15
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.15
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.15
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.15
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.38/127.15
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.38/127.15
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.38/127.15
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.38/127.15
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.38/127.15
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.15
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.15
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.15
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.15
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.15
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.15
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.15
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.15
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.15
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.15
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.38/127.15
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.38/127.15
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.38/127.15
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.15
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.38/127.15
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.38/127.15
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.38/127.15
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.15
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.38/127.15
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.38/127.15
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.38/127.15
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.15
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.15
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.38/127.15
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.38/127.15
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.38/127.15
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.38/127.15
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.38/127.15
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.38/127.15
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.38/127.15
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.38/127.15
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.38/127.15
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.38/127.15
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.38/127.15
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.38/127.15
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.38/127.15
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.15
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.15
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.15
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.15
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.38/127.15
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.38/127.15
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.38/127.15
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.38/127.15
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.38/127.15
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.15
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.38/127.15
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.38/127.15
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.15
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.15
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.15
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.15
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.15
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.15
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.15
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.15
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.15
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.15
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.38/127.15
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.38/127.15
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.38/127.15
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.38/127.15
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.38/127.15
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.38/127.15
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.38/127.15
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.38/127.15
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.15
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.38/127.15
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.15
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.38/127.15
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.15
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.38/127.15
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.38/127.15
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.15
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.38/127.15
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.15
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.15
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.38/127.15
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.38/127.15
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.38/127.15
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.15
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.15
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.15
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.15
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.15
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.15
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.15
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.15
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.15
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.15
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.15
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.38/127.15
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.38/127.15
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.38/127.15
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.38/127.15
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.38/127.15
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.38/127.15
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.15
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.38/127.15
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.15
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.15
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.38/127.15
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.38/127.15
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.38/127.15
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.38/127.15
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.15
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.15
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.15
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.15
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.15
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.15
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.15
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.15
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.15
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.15
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.38/127.15
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.38/127.15
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.38/127.15
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.38/127.15
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.38/127.15
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.38/127.15
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.38/127.15
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.38/127.15
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.38/127.15
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.38/127.15
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.38/127.15
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.15
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.38/127.15
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.15
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.38/127.15
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.38/127.15
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.38/127.15
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.15
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.38/127.15
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.15
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.38/127.15
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.38/127.15
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.15
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.38/127.15
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.15
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.15
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.38/127.15
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.38/127.15
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.38/127.15
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.38/127.15
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.38/127.15
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.15
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.38/127.15
PROPER(dbl(0)) → c45(DBL(ok(0)), PROPER(0))
419.38/127.15
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.38/127.15
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.38/127.15
PROPER(dbl(nil)) → c45(DBL(ok(nil)), PROPER(nil))
419.38/127.15
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.38/127.15
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.38/127.15
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.38/127.15
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.38/127.15
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.38/127.15
PROPER(dbl(01)) → c45(DBL(ok(01)), PROPER(01))
419.38/127.15
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.38/127.15
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.38/127.15
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
ACTIVE, DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, PROPER, S, CONS, FROM, TOP
Compound Symbols:
c5, c12, c15, c16, c19, c20, c24, c25, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c47, c48, c50, c51, c52, c53, c54, c56, c57, c58, c59, c60, c61, c62, c63, c8, c, c17, c17, c1, c18, c18, c2, c21, c21, c3, c22, c22, c4, c23, c23, c6, c26, c26, c7, c45
419.38/127.15
419.38/127.15
(45) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID) transformation)
Removed 3 trailing tuple parts
419.38/127.15
419.38/127.15
(46) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
419.38/127.15
active(dbl(s(z0))) → mark(s(s(dbl(z0))))
419.38/127.15
active(dbls(nil)) → mark(nil)
419.38/127.15
active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
419.38/127.15
active(sel(0, cons(z0, z1))) → mark(z0)
419.38/127.15
active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
419.38/127.15
active(indx(nil, z0)) → mark(nil)
419.38/127.15
active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
419.38/127.15
active(from(z0)) → mark(cons(z0, from(s(z0))))
419.38/127.15
active(dbl1(0)) → mark(01)
419.38/127.15
active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
419.38/127.15
active(sel1(0, cons(z0, z1))) → mark(z0)
419.38/127.15
active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
419.38/127.15
active(quote(0)) → mark(01)
419.38/127.15
active(quote(s(z0))) → mark(s1(quote(z0)))
419.38/127.15
active(quote(dbl(z0))) → mark(dbl1(z0))
419.38/127.15
active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
419.38/127.15
active(dbl(z0)) → dbl(active(z0))
419.38/127.15
active(dbls(z0)) → dbls(active(z0))
419.38/127.15
active(sel(z0, z1)) → sel(active(z0), z1)
419.38/127.15
active(sel(z0, z1)) → sel(z0, active(z1))
419.38/127.15
active(indx(z0, z1)) → indx(active(z0), z1)
419.38/127.15
active(dbl1(z0)) → dbl1(active(z0))
419.38/127.15
active(s1(z0)) → s1(active(z0))
419.38/127.15
active(sel1(z0, z1)) → sel1(active(z0), z1)
419.38/127.15
active(sel1(z0, z1)) → sel1(z0, active(z1))
419.38/127.15
active(quote(z0)) → quote(active(z0))
419.38/127.15
dbl(mark(z0)) → mark(dbl(z0))
419.38/127.15
dbl(ok(z0)) → ok(dbl(z0))
419.38/127.15
dbls(mark(z0)) → mark(dbls(z0))
419.38/127.15
dbls(ok(z0)) → ok(dbls(z0))
419.38/127.15
sel(mark(z0), z1) → mark(sel(z0, z1))
419.38/127.15
sel(z0, mark(z1)) → mark(sel(z0, z1))
419.38/127.15
sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
419.38/127.15
indx(mark(z0), z1) → mark(indx(z0, z1))
419.38/127.15
indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
419.38/127.15
dbl1(mark(z0)) → mark(dbl1(z0))
419.38/127.15
dbl1(ok(z0)) → ok(dbl1(z0))
419.38/127.15
s1(mark(z0)) → mark(s1(z0))
419.38/127.15
s1(ok(z0)) → ok(s1(z0))
419.38/127.15
sel1(mark(z0), z1) → mark(sel1(z0, z1))
419.38/127.15
sel1(z0, mark(z1)) → mark(sel1(z0, z1))
419.38/127.15
sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
419.38/127.15
quote(mark(z0)) → mark(quote(z0))
419.38/127.15
quote(ok(z0)) → ok(quote(z0))
419.38/127.15
proper(dbl(z0)) → dbl(proper(z0))
419.38/127.15
proper(0) → ok(0)
419.38/127.15
proper(s(z0)) → s(proper(z0))
419.38/127.15
proper(dbls(z0)) → dbls(proper(z0))
419.38/127.15
proper(nil) → ok(nil)
419.38/127.15
proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
419.38/127.15
proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
419.38/127.15
proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
419.38/127.15
proper(from(z0)) → from(proper(z0))
419.38/127.15
proper(dbl1(z0)) → dbl1(proper(z0))
419.38/127.15
proper(01) → ok(01)
419.38/127.15
proper(s1(z0)) → s1(proper(z0))
419.38/127.15
proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
419.38/127.15
proper(quote(z0)) → quote(proper(z0))
419.38/127.15
s(ok(z0)) → ok(s(z0))
419.38/127.15
cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
419.38/127.15
from(ok(z0)) → ok(from(z0))
419.38/127.15
top(mark(z0)) → top(proper(z0))
419.38/127.15
top(ok(z0)) → top(active(z0))
Tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.38/127.15
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.38/127.15
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.38/127.15
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.38/127.15
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.38/127.15
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.38/127.15
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.38/127.15
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.38/127.15
DBL(mark(z0)) → c27(DBL(z0))
419.38/127.15
DBL(ok(z0)) → c28(DBL(z0))
419.38/127.15
DBLS(mark(z0)) → c29(DBLS(z0))
419.38/127.15
DBLS(ok(z0)) → c30(DBLS(z0))
419.38/127.15
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.38/127.15
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.38/127.15
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.38/127.15
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.38/127.15
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.38/127.15
DBL1(mark(z0)) → c36(DBL1(z0))
419.38/127.15
DBL1(ok(z0)) → c37(DBL1(z0))
419.38/127.15
S1(mark(z0)) → c38(S1(z0))
419.38/127.15
S1(ok(z0)) → c39(S1(z0))
419.38/127.15
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.38/127.15
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.38/127.15
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.38/127.15
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.38/127.15
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.38/127.15
PROPER(s(z0)) → c47(S(proper(z0)), PROPER(z0))
419.38/127.15
PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
419.38/127.15
PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.15
PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.15
PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.15
PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
419.38/127.15
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
419.38/127.15
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
419.38/127.15
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.15
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
419.38/127.15
S(ok(z0)) → c59(S(z0))
419.38/127.15
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.38/127.15
FROM(ok(z0)) → c61(FROM(z0))
419.38/127.15
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
419.38/127.15
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.38/127.15
ACTIVE(from(z0)) → c8(S(z0))
419.38/127.15
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.38/127.15
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.38/127.15
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.38/127.15
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.38/127.15
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.38/127.15
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.38/127.15
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.38/127.15
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.38/127.15
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.38/127.15
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.38/127.15
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.38/127.15
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.38/127.15
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.38/127.15
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.38/127.15
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.15
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.15
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.15
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.15
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.15
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.15
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.15
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.15
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.15
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.15
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.38/127.15
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.38/127.15
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.38/127.15
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.38/127.15
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.38/127.15
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.15
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.15
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.15
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.15
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.15
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.15
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.15
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.15
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.15
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.15
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.38/127.15
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.38/127.15
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.38/127.15
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.15
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.38/127.15
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.38/127.15
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.38/127.15
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.15
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.38/127.15
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.38/127.15
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.38/127.15
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.15
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.15
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.38/127.15
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.38/127.15
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.38/127.15
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.38/127.15
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.38/127.15
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.38/127.15
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.38/127.15
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.38/127.15
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.38/127.15
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.38/127.15
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.38/127.15
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.38/127.15
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.38/127.15
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.15
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.15
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.15
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.15
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.38/127.15
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.38/127.15
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.38/127.15
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.38/127.15
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.38/127.15
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.15
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.38/127.15
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.38/127.15
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.15
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.15
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.15
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.15
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.15
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.15
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.15
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.15
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.15
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.15
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.38/127.15
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.38/127.15
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.38/127.15
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.38/127.15
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.38/127.15
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.38/127.15
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.38/127.15
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.38/127.15
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.15
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.38/127.15
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.15
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.38/127.15
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.15
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.38/127.15
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.38/127.15
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.15
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.38/127.15
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.15
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.15
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.38/127.15
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.38/127.15
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.38/127.15
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.15
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.15
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.15
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.15
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.15
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.15
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.15
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.15
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.15
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.15
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.15
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.38/127.15
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.38/127.15
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.38/127.15
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.38/127.15
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.38/127.15
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.38/127.15
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.15
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.38/127.15
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.15
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.15
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.38/127.15
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.38/127.15
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.38/127.15
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.38/127.15
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.15
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.15
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.15
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.15
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.15
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.15
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.15
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.15
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.15
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.15
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.38/127.15
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.38/127.15
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.38/127.15
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.38/127.15
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.38/127.15
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.38/127.15
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.38/127.15
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.38/127.15
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.38/127.15
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.38/127.15
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.38/127.15
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.15
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.38/127.15
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.15
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.38/127.15
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.38/127.15
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.38/127.15
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.15
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.38/127.15
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.15
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.38/127.15
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.38/127.15
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.15
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.38/127.15
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.15
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.15
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.38/127.15
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.38/127.15
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.38/127.15
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.38/127.15
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.38/127.15
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.15
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.38/127.15
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.38/127.15
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.38/127.15
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.38/127.15
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.38/127.15
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.38/127.15
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.38/127.15
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.38/127.15
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.38/127.15
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.38/127.15
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.38/127.15
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.38/127.15
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.38/127.15
PROPER(dbl(01)) → c45(DBL(ok(01)))
S tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.38/127.15
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.38/127.15
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.38/127.15
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.38/127.15
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.38/127.15
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.38/127.15
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.38/127.15
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.38/127.15
DBL(mark(z0)) → c27(DBL(z0))
419.38/127.15
DBL(ok(z0)) → c28(DBL(z0))
419.38/127.15
DBLS(mark(z0)) → c29(DBLS(z0))
419.38/127.15
DBLS(ok(z0)) → c30(DBLS(z0))
419.38/127.15
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.38/127.15
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.38/127.15
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.38/127.15
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.38/127.15
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.38/127.15
DBL1(mark(z0)) → c36(DBL1(z0))
419.38/127.15
DBL1(ok(z0)) → c37(DBL1(z0))
419.38/127.15
S1(mark(z0)) → c38(S1(z0))
419.38/127.15
S1(ok(z0)) → c39(S1(z0))
419.38/127.15
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.38/127.15
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.38/127.15
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.38/127.15
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.38/127.15
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.38/127.15
PROPER(s(z0)) → c47(S(proper(z0)), PROPER(z0))
419.38/127.15
PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
419.38/127.15
PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.15
PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.15
PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.15
PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
419.38/127.15
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
419.38/127.15
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
419.38/127.15
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.15
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
419.38/127.15
S(ok(z0)) → c59(S(z0))
419.38/127.15
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.38/127.15
FROM(ok(z0)) → c61(FROM(z0))
419.38/127.15
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
419.38/127.15
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.38/127.15
ACTIVE(from(z0)) → c8(S(z0))
419.38/127.15
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.38/127.15
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.38/127.15
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.38/127.15
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.38/127.15
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.38/127.15
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.38/127.15
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.38/127.15
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.38/127.15
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.38/127.15
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.38/127.15
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.38/127.15
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.38/127.15
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.38/127.15
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.38/127.15
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.15
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.15
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.15
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.15
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.15
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.15
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.15
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.15
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.15
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.15
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.38/127.15
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.38/127.15
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.38/127.15
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.38/127.15
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.38/127.15
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.15
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.15
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.15
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.15
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.15
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.15
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.15
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.15
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.15
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.15
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.38/127.15
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.38/127.15
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.38/127.15
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.15
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.38/127.15
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.38/127.15
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.38/127.15
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.15
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.38/127.15
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.38/127.15
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.38/127.15
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.15
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.15
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.38/127.15
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.38/127.15
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.38/127.15
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.38/127.15
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.38/127.15
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.38/127.15
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.38/127.15
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.38/127.15
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.38/127.15
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.38/127.15
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.38/127.15
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.38/127.15
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.38/127.15
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.15
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.15
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.15
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.15
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.38/127.15
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.38/127.15
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.38/127.15
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.38/127.15
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.38/127.15
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.15
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.38/127.15
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.38/127.15
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.15
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.15
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.15
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.15
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.15
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.15
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.15
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.15
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.15
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.15
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.38/127.15
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.38/127.15
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.38/127.15
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.38/127.15
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.38/127.15
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.38/127.15
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.38/127.15
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.38/127.15
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.15
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.38/127.15
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.15
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.38/127.15
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.15
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.38/127.15
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.38/127.15
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.15
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.38/127.15
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.15
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.15
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.38/127.15
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.38/127.15
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.38/127.15
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.15
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.15
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.15
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.15
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.15
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.15
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.15
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.15
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.15
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.15
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.15
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.38/127.15
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.38/127.15
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.38/127.15
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.38/127.15
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.38/127.15
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.38/127.15
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.15
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.38/127.15
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.15
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.15
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.38/127.15
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.38/127.15
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.38/127.15
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.38/127.15
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.15
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.15
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.15
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.15
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.15
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.15
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.15
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.15
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.15
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.15
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.38/127.15
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.38/127.15
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.38/127.15
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.38/127.15
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.38/127.15
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.38/127.15
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.38/127.15
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.38/127.15
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.38/127.15
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.38/127.15
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.38/127.15
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.15
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.38/127.15
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.15
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.38/127.15
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.38/127.15
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.38/127.15
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.15
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.38/127.15
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.15
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.38/127.15
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.38/127.15
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.15
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.38/127.15
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.15
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.15
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.38/127.15
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.38/127.15
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.38/127.15
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.38/127.15
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.38/127.15
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.15
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.38/127.15
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.38/127.15
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.38/127.15
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.38/127.15
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.38/127.15
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.38/127.15
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.38/127.15
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.38/127.15
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.38/127.15
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.38/127.15
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.38/127.15
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.38/127.15
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.38/127.15
PROPER(dbl(01)) → c45(DBL(ok(01)))
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
ACTIVE, DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, PROPER, S, CONS, FROM, TOP
Compound Symbols:
c5, c12, c15, c16, c19, c20, c24, c25, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c47, c48, c50, c51, c52, c53, c54, c56, c57, c58, c59, c60, c61, c62, c63, c8, c, c17, c17, c1, c18, c18, c2, c21, c21, c3, c22, c22, c4, c23, c23, c6, c26, c26, c7, c45, c45
419.38/127.15
419.38/127.15
(47) CdtNarrowingProof (BOTH BOUNDS(ID, ID) transformation)
Use narrowing to replace
PROPER(
s(
z0)) →
c47(
S(
proper(
z0)),
PROPER(
z0)) by
PROPER(s(dbl(z0))) → c47(S(dbl(proper(z0))), PROPER(dbl(z0)))
419.38/127.15
PROPER(s(0)) → c47(S(ok(0)), PROPER(0))
419.38/127.15
PROPER(s(s(z0))) → c47(S(s(proper(z0))), PROPER(s(z0)))
419.38/127.15
PROPER(s(dbls(z0))) → c47(S(dbls(proper(z0))), PROPER(dbls(z0)))
419.38/127.15
PROPER(s(nil)) → c47(S(ok(nil)), PROPER(nil))
419.38/127.15
PROPER(s(cons(z0, z1))) → c47(S(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.38/127.15
PROPER(s(sel(z0, z1))) → c47(S(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.38/127.15
PROPER(s(indx(z0, z1))) → c47(S(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.38/127.15
PROPER(s(from(z0))) → c47(S(from(proper(z0))), PROPER(from(z0)))
419.38/127.15
PROPER(s(dbl1(z0))) → c47(S(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.38/127.15
PROPER(s(01)) → c47(S(ok(01)), PROPER(01))
419.38/127.15
PROPER(s(s1(z0))) → c47(S(s1(proper(z0))), PROPER(s1(z0)))
419.38/127.15
PROPER(s(sel1(z0, z1))) → c47(S(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.38/127.15
PROPER(s(quote(z0))) → c47(S(quote(proper(z0))), PROPER(quote(z0)))
419.38/127.15
419.38/127.15
(48) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
419.38/127.15
active(dbl(s(z0))) → mark(s(s(dbl(z0))))
419.38/127.15
active(dbls(nil)) → mark(nil)
419.38/127.15
active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
419.38/127.15
active(sel(0, cons(z0, z1))) → mark(z0)
419.38/127.15
active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
419.38/127.15
active(indx(nil, z0)) → mark(nil)
419.38/127.15
active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
419.38/127.15
active(from(z0)) → mark(cons(z0, from(s(z0))))
419.38/127.15
active(dbl1(0)) → mark(01)
419.38/127.15
active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
419.38/127.15
active(sel1(0, cons(z0, z1))) → mark(z0)
419.38/127.15
active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
419.38/127.15
active(quote(0)) → mark(01)
419.38/127.15
active(quote(s(z0))) → mark(s1(quote(z0)))
419.38/127.15
active(quote(dbl(z0))) → mark(dbl1(z0))
419.38/127.15
active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
419.38/127.15
active(dbl(z0)) → dbl(active(z0))
419.38/127.15
active(dbls(z0)) → dbls(active(z0))
419.38/127.15
active(sel(z0, z1)) → sel(active(z0), z1)
419.38/127.15
active(sel(z0, z1)) → sel(z0, active(z1))
419.38/127.15
active(indx(z0, z1)) → indx(active(z0), z1)
419.38/127.15
active(dbl1(z0)) → dbl1(active(z0))
419.38/127.15
active(s1(z0)) → s1(active(z0))
419.38/127.15
active(sel1(z0, z1)) → sel1(active(z0), z1)
419.38/127.15
active(sel1(z0, z1)) → sel1(z0, active(z1))
419.38/127.15
active(quote(z0)) → quote(active(z0))
419.38/127.15
dbl(mark(z0)) → mark(dbl(z0))
419.38/127.15
dbl(ok(z0)) → ok(dbl(z0))
419.38/127.15
dbls(mark(z0)) → mark(dbls(z0))
419.38/127.15
dbls(ok(z0)) → ok(dbls(z0))
419.38/127.15
sel(mark(z0), z1) → mark(sel(z0, z1))
419.38/127.15
sel(z0, mark(z1)) → mark(sel(z0, z1))
419.38/127.15
sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
419.38/127.15
indx(mark(z0), z1) → mark(indx(z0, z1))
419.38/127.15
indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
419.38/127.15
dbl1(mark(z0)) → mark(dbl1(z0))
419.38/127.15
dbl1(ok(z0)) → ok(dbl1(z0))
419.38/127.15
s1(mark(z0)) → mark(s1(z0))
419.38/127.15
s1(ok(z0)) → ok(s1(z0))
419.38/127.15
sel1(mark(z0), z1) → mark(sel1(z0, z1))
419.38/127.15
sel1(z0, mark(z1)) → mark(sel1(z0, z1))
419.38/127.15
sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
419.38/127.15
quote(mark(z0)) → mark(quote(z0))
419.38/127.15
quote(ok(z0)) → ok(quote(z0))
419.38/127.15
proper(dbl(z0)) → dbl(proper(z0))
419.38/127.15
proper(0) → ok(0)
419.38/127.15
proper(s(z0)) → s(proper(z0))
419.38/127.15
proper(dbls(z0)) → dbls(proper(z0))
419.38/127.15
proper(nil) → ok(nil)
419.38/127.15
proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
419.38/127.15
proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
419.38/127.15
proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
419.38/127.15
proper(from(z0)) → from(proper(z0))
419.38/127.15
proper(dbl1(z0)) → dbl1(proper(z0))
419.38/127.15
proper(01) → ok(01)
419.38/127.15
proper(s1(z0)) → s1(proper(z0))
419.38/127.15
proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
419.38/127.15
proper(quote(z0)) → quote(proper(z0))
419.38/127.15
s(ok(z0)) → ok(s(z0))
419.38/127.15
cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
419.38/127.15
from(ok(z0)) → ok(from(z0))
419.38/127.15
top(mark(z0)) → top(proper(z0))
419.38/127.15
top(ok(z0)) → top(active(z0))
Tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.38/127.15
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.38/127.15
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.38/127.15
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.38/127.15
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.38/127.15
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.38/127.15
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.38/127.15
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.38/127.15
DBL(mark(z0)) → c27(DBL(z0))
419.38/127.15
DBL(ok(z0)) → c28(DBL(z0))
419.38/127.15
DBLS(mark(z0)) → c29(DBLS(z0))
419.38/127.15
DBLS(ok(z0)) → c30(DBLS(z0))
419.38/127.15
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.38/127.15
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.38/127.15
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.38/127.15
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.38/127.15
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.38/127.15
DBL1(mark(z0)) → c36(DBL1(z0))
419.38/127.15
DBL1(ok(z0)) → c37(DBL1(z0))
419.38/127.15
S1(mark(z0)) → c38(S1(z0))
419.38/127.15
S1(ok(z0)) → c39(S1(z0))
419.38/127.15
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.38/127.15
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.38/127.15
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.38/127.15
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.38/127.15
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.38/127.15
PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
419.38/127.15
PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.15
PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.15
PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.15
PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
419.38/127.15
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
419.38/127.15
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
419.38/127.15
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.15
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
419.38/127.15
S(ok(z0)) → c59(S(z0))
419.38/127.15
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.38/127.15
FROM(ok(z0)) → c61(FROM(z0))
419.38/127.15
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
419.38/127.15
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.38/127.15
ACTIVE(from(z0)) → c8(S(z0))
419.38/127.15
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.38/127.15
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.38/127.15
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.38/127.15
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.38/127.15
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.38/127.15
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.38/127.15
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.38/127.15
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.38/127.15
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.38/127.15
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.38/127.15
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.38/127.15
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.38/127.15
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.38/127.15
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.38/127.15
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.15
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.15
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.15
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.15
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.15
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.15
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.15
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.15
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.15
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.15
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.38/127.15
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.38/127.15
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.38/127.15
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.38/127.15
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.38/127.15
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.15
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.15
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.15
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.15
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.15
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.15
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.15
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.15
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.15
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.15
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.38/127.15
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.38/127.15
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.38/127.15
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.15
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.38/127.15
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.38/127.15
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.38/127.15
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.15
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.38/127.15
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.38/127.15
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.38/127.15
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.15
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.15
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.38/127.15
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.38/127.15
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.38/127.15
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.38/127.15
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.38/127.15
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.38/127.15
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.38/127.15
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.38/127.15
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.38/127.15
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.38/127.15
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.38/127.15
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.38/127.15
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.38/127.15
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.15
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.15
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.15
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.15
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.38/127.15
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.38/127.15
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.38/127.15
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.38/127.15
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.38/127.15
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.15
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.38/127.15
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.38/127.15
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.15
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.15
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.15
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.15
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.15
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.15
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.15
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.15
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.15
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.15
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.38/127.15
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.38/127.15
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.38/127.15
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.38/127.15
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.38/127.15
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.38/127.15
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.38/127.15
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.38/127.15
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.15
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.38/127.15
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.15
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.38/127.15
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.15
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.38/127.15
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.38/127.15
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.15
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.38/127.15
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.15
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.15
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.38/127.15
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.38/127.15
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.38/127.15
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.15
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.15
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.15
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.15
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.15
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.15
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.15
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.15
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.15
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.15
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.15
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.38/127.15
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.38/127.15
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.38/127.15
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.38/127.15
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.38/127.15
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.38/127.15
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.15
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.38/127.15
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.15
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.15
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.38/127.15
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.38/127.15
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.38/127.15
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.38/127.15
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.15
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.15
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.15
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.15
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.15
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.15
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.15
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.15
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.15
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.15
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.15
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.15
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.15
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.38/127.15
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.38/127.15
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.38/127.15
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.38/127.15
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.38/127.15
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.38/127.15
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.38/127.15
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.38/127.15
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.38/127.15
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.38/127.15
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.38/127.16
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.16
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.38/127.16
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.16
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.38/127.16
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.38/127.16
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.38/127.16
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.16
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.38/127.16
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.16
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.38/127.16
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.38/127.16
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.16
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.38/127.16
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.16
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.16
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.38/127.16
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.38/127.16
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.38/127.16
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.38/127.16
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.38/127.16
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.16
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.38/127.16
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.38/127.16
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.38/127.16
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.38/127.16
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.38/127.16
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.38/127.16
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.38/127.16
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.38/127.16
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.38/127.16
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.38/127.16
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.38/127.16
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.38/127.16
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.38/127.16
PROPER(dbl(01)) → c45(DBL(ok(01)))
419.38/127.16
PROPER(s(dbl(z0))) → c47(S(dbl(proper(z0))), PROPER(dbl(z0)))
419.38/127.16
PROPER(s(0)) → c47(S(ok(0)), PROPER(0))
419.38/127.16
PROPER(s(s(z0))) → c47(S(s(proper(z0))), PROPER(s(z0)))
419.38/127.16
PROPER(s(dbls(z0))) → c47(S(dbls(proper(z0))), PROPER(dbls(z0)))
419.38/127.16
PROPER(s(nil)) → c47(S(ok(nil)), PROPER(nil))
419.38/127.16
PROPER(s(cons(z0, z1))) → c47(S(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.38/127.16
PROPER(s(sel(z0, z1))) → c47(S(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.38/127.16
PROPER(s(indx(z0, z1))) → c47(S(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.38/127.16
PROPER(s(from(z0))) → c47(S(from(proper(z0))), PROPER(from(z0)))
419.38/127.16
PROPER(s(dbl1(z0))) → c47(S(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.38/127.16
PROPER(s(01)) → c47(S(ok(01)), PROPER(01))
419.38/127.16
PROPER(s(s1(z0))) → c47(S(s1(proper(z0))), PROPER(s1(z0)))
419.38/127.16
PROPER(s(sel1(z0, z1))) → c47(S(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.38/127.16
PROPER(s(quote(z0))) → c47(S(quote(proper(z0))), PROPER(quote(z0)))
S tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.38/127.16
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.38/127.16
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.38/127.16
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.38/127.16
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.38/127.16
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.38/127.16
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.38/127.16
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.38/127.16
DBL(mark(z0)) → c27(DBL(z0))
419.38/127.16
DBL(ok(z0)) → c28(DBL(z0))
419.38/127.16
DBLS(mark(z0)) → c29(DBLS(z0))
419.38/127.16
DBLS(ok(z0)) → c30(DBLS(z0))
419.38/127.16
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.38/127.16
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.38/127.16
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.38/127.16
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.38/127.16
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.38/127.16
DBL1(mark(z0)) → c36(DBL1(z0))
419.38/127.16
DBL1(ok(z0)) → c37(DBL1(z0))
419.38/127.16
S1(mark(z0)) → c38(S1(z0))
419.38/127.16
S1(ok(z0)) → c39(S1(z0))
419.38/127.16
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.38/127.16
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.38/127.16
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.38/127.16
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.38/127.16
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.38/127.16
PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
419.38/127.16
PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.16
PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.16
PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.16
PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
419.38/127.16
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
419.38/127.16
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
419.38/127.16
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.16
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
419.38/127.16
S(ok(z0)) → c59(S(z0))
419.38/127.16
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.38/127.16
FROM(ok(z0)) → c61(FROM(z0))
419.38/127.16
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
419.38/127.16
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.38/127.16
ACTIVE(from(z0)) → c8(S(z0))
419.38/127.16
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.38/127.16
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.38/127.16
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.38/127.16
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.38/127.16
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.38/127.16
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.38/127.16
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.38/127.16
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.38/127.16
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.38/127.16
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.38/127.16
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.38/127.16
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.38/127.16
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.38/127.16
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.38/127.16
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.16
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.16
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.16
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.16
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.16
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.16
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.16
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.16
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.16
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.16
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.16
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.16
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.16
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.16
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.16
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.16
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.38/127.16
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.38/127.16
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.38/127.16
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.38/127.16
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.38/127.16
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.16
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.16
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.16
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.16
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.16
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.16
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.16
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.16
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.16
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.16
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.16
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.16
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.16
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.16
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.16
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.16
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.38/127.16
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.38/127.16
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.38/127.16
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.16
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.38/127.16
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.38/127.16
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.38/127.16
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.16
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.38/127.16
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.38/127.16
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.38/127.16
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.16
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.16
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.16
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.16
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.38/127.16
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.38/127.16
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.38/127.16
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.38/127.16
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.38/127.16
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.38/127.16
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.38/127.16
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.38/127.16
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.38/127.16
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.38/127.16
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.38/127.16
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.38/127.16
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.38/127.16
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.38/127.16
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.38/127.16
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.38/127.16
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.38/127.16
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.16
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.16
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.16
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.16
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.38/127.16
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.38/127.16
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.38/127.16
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.38/127.16
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.38/127.16
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.16
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.38/127.16
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.38/127.16
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.16
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.16
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.16
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.16
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.16
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.16
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.16
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.16
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.16
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.16
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.16
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.16
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.16
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.16
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.16
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.16
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.38/127.16
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.38/127.16
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.38/127.16
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.38/127.16
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.38/127.16
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.38/127.16
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.38/127.16
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.38/127.16
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.16
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.38/127.16
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.16
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.38/127.16
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.16
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.38/127.16
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.38/127.16
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.16
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.38/127.16
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.16
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.16
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.38/127.16
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.38/127.16
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.38/127.16
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.16
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.16
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.16
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.16
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.16
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.16
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.16
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.16
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.16
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.16
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.16
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.16
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.16
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.16
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.16
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.16
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.16
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.38/127.16
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.38/127.16
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.38/127.16
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.38/127.16
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.38/127.16
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.38/127.16
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.16
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.38/127.16
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.16
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.16
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.38/127.16
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.38/127.16
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.38/127.16
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.38/127.16
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.16
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.16
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.16
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.16
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.16
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.16
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.16
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.16
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.16
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.16
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.16
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.16
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.16
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.16
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.16
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.16
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.38/127.16
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.38/127.16
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.38/127.16
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.38/127.16
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.38/127.16
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.38/127.16
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.38/127.16
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.38/127.16
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.38/127.16
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.38/127.16
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.38/127.16
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.16
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.38/127.16
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.16
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.38/127.16
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.38/127.16
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.38/127.16
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.16
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.38/127.16
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.16
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.38/127.16
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.38/127.16
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.16
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.38/127.16
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.16
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.16
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.38/127.16
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.38/127.16
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.38/127.16
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.38/127.16
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.38/127.16
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.16
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.38/127.16
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.38/127.16
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.38/127.16
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.38/127.16
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.38/127.16
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.38/127.16
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.38/127.16
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.38/127.16
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.38/127.16
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.38/127.16
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.38/127.16
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.38/127.16
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.38/127.16
PROPER(dbl(01)) → c45(DBL(ok(01)))
419.38/127.16
PROPER(s(dbl(z0))) → c47(S(dbl(proper(z0))), PROPER(dbl(z0)))
419.38/127.16
PROPER(s(0)) → c47(S(ok(0)), PROPER(0))
419.38/127.16
PROPER(s(s(z0))) → c47(S(s(proper(z0))), PROPER(s(z0)))
419.38/127.16
PROPER(s(dbls(z0))) → c47(S(dbls(proper(z0))), PROPER(dbls(z0)))
419.38/127.16
PROPER(s(nil)) → c47(S(ok(nil)), PROPER(nil))
419.38/127.16
PROPER(s(cons(z0, z1))) → c47(S(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.38/127.16
PROPER(s(sel(z0, z1))) → c47(S(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.38/127.16
PROPER(s(indx(z0, z1))) → c47(S(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.38/127.16
PROPER(s(from(z0))) → c47(S(from(proper(z0))), PROPER(from(z0)))
419.38/127.16
PROPER(s(dbl1(z0))) → c47(S(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.38/127.16
PROPER(s(01)) → c47(S(ok(01)), PROPER(01))
419.38/127.16
PROPER(s(s1(z0))) → c47(S(s1(proper(z0))), PROPER(s1(z0)))
419.38/127.16
PROPER(s(sel1(z0, z1))) → c47(S(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.38/127.16
PROPER(s(quote(z0))) → c47(S(quote(proper(z0))), PROPER(quote(z0)))
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
ACTIVE, DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, PROPER, S, CONS, FROM, TOP
Compound Symbols:
c5, c12, c15, c16, c19, c20, c24, c25, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c48, c50, c51, c52, c53, c54, c56, c57, c58, c59, c60, c61, c62, c63, c8, c, c17, c17, c1, c18, c18, c2, c21, c21, c3, c22, c22, c4, c23, c23, c6, c26, c26, c7, c45, c45, c47
419.38/127.16
419.38/127.16
(49) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID) transformation)
Removed 3 trailing tuple parts
419.38/127.16
419.38/127.16
(50) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
419.38/127.16
active(dbl(s(z0))) → mark(s(s(dbl(z0))))
419.38/127.16
active(dbls(nil)) → mark(nil)
419.38/127.16
active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
419.38/127.16
active(sel(0, cons(z0, z1))) → mark(z0)
419.38/127.16
active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
419.38/127.16
active(indx(nil, z0)) → mark(nil)
419.38/127.16
active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
419.38/127.16
active(from(z0)) → mark(cons(z0, from(s(z0))))
419.38/127.16
active(dbl1(0)) → mark(01)
419.38/127.16
active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
419.38/127.16
active(sel1(0, cons(z0, z1))) → mark(z0)
419.38/127.16
active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
419.38/127.16
active(quote(0)) → mark(01)
419.38/127.16
active(quote(s(z0))) → mark(s1(quote(z0)))
419.38/127.16
active(quote(dbl(z0))) → mark(dbl1(z0))
419.38/127.16
active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
419.38/127.16
active(dbl(z0)) → dbl(active(z0))
419.38/127.16
active(dbls(z0)) → dbls(active(z0))
419.38/127.16
active(sel(z0, z1)) → sel(active(z0), z1)
419.38/127.16
active(sel(z0, z1)) → sel(z0, active(z1))
419.38/127.16
active(indx(z0, z1)) → indx(active(z0), z1)
419.38/127.16
active(dbl1(z0)) → dbl1(active(z0))
419.38/127.16
active(s1(z0)) → s1(active(z0))
419.38/127.16
active(sel1(z0, z1)) → sel1(active(z0), z1)
419.38/127.16
active(sel1(z0, z1)) → sel1(z0, active(z1))
419.38/127.16
active(quote(z0)) → quote(active(z0))
419.38/127.16
dbl(mark(z0)) → mark(dbl(z0))
419.38/127.16
dbl(ok(z0)) → ok(dbl(z0))
419.38/127.16
dbls(mark(z0)) → mark(dbls(z0))
419.38/127.16
dbls(ok(z0)) → ok(dbls(z0))
419.38/127.16
sel(mark(z0), z1) → mark(sel(z0, z1))
419.38/127.16
sel(z0, mark(z1)) → mark(sel(z0, z1))
419.38/127.16
sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
419.38/127.16
indx(mark(z0), z1) → mark(indx(z0, z1))
419.38/127.16
indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
419.38/127.16
dbl1(mark(z0)) → mark(dbl1(z0))
419.38/127.16
dbl1(ok(z0)) → ok(dbl1(z0))
419.38/127.16
s1(mark(z0)) → mark(s1(z0))
419.38/127.16
s1(ok(z0)) → ok(s1(z0))
419.38/127.16
sel1(mark(z0), z1) → mark(sel1(z0, z1))
419.38/127.16
sel1(z0, mark(z1)) → mark(sel1(z0, z1))
419.38/127.16
sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
419.38/127.16
quote(mark(z0)) → mark(quote(z0))
419.38/127.16
quote(ok(z0)) → ok(quote(z0))
419.38/127.16
proper(dbl(z0)) → dbl(proper(z0))
419.38/127.16
proper(0) → ok(0)
419.38/127.16
proper(s(z0)) → s(proper(z0))
419.38/127.16
proper(dbls(z0)) → dbls(proper(z0))
419.38/127.16
proper(nil) → ok(nil)
419.38/127.16
proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
419.38/127.16
proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
419.38/127.16
proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
419.38/127.16
proper(from(z0)) → from(proper(z0))
419.38/127.16
proper(dbl1(z0)) → dbl1(proper(z0))
419.38/127.16
proper(01) → ok(01)
419.38/127.16
proper(s1(z0)) → s1(proper(z0))
419.38/127.16
proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
419.38/127.16
proper(quote(z0)) → quote(proper(z0))
419.38/127.16
s(ok(z0)) → ok(s(z0))
419.38/127.16
cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
419.38/127.16
from(ok(z0)) → ok(from(z0))
419.38/127.16
top(mark(z0)) → top(proper(z0))
419.38/127.16
top(ok(z0)) → top(active(z0))
Tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.38/127.16
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.38/127.16
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.38/127.16
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.38/127.16
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.38/127.16
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.38/127.16
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.38/127.16
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.38/127.16
DBL(mark(z0)) → c27(DBL(z0))
419.38/127.16
DBL(ok(z0)) → c28(DBL(z0))
419.38/127.16
DBLS(mark(z0)) → c29(DBLS(z0))
419.38/127.16
DBLS(ok(z0)) → c30(DBLS(z0))
419.38/127.16
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.38/127.16
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.38/127.16
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.38/127.16
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.38/127.16
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.38/127.16
DBL1(mark(z0)) → c36(DBL1(z0))
419.38/127.16
DBL1(ok(z0)) → c37(DBL1(z0))
419.38/127.16
S1(mark(z0)) → c38(S1(z0))
419.38/127.16
S1(ok(z0)) → c39(S1(z0))
419.38/127.16
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.38/127.16
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.38/127.16
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.38/127.16
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.38/127.16
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.38/127.16
PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
419.38/127.16
PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.16
PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.16
PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.16
PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
419.38/127.16
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
419.38/127.16
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
419.38/127.16
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.16
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
419.38/127.16
S(ok(z0)) → c59(S(z0))
419.38/127.16
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.38/127.16
FROM(ok(z0)) → c61(FROM(z0))
419.38/127.16
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
419.38/127.16
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.38/127.16
ACTIVE(from(z0)) → c8(S(z0))
419.38/127.16
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.38/127.16
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.38/127.16
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.38/127.16
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.38/127.16
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.38/127.16
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.38/127.16
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.38/127.16
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.38/127.16
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.38/127.16
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.38/127.16
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.38/127.16
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.38/127.16
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.38/127.16
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.38/127.16
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.16
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.16
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.16
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.16
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.16
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.16
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.16
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.16
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.16
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.16
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.16
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.16
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.16
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.16
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.16
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.16
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.38/127.16
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.38/127.16
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.38/127.16
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.38/127.16
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.38/127.16
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.16
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.16
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.16
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.16
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.16
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.16
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.16
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.16
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.16
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.16
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.16
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.16
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.16
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.16
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.16
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.16
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.38/127.16
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.38/127.16
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.38/127.16
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.16
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.38/127.16
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.38/127.16
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.38/127.16
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.16
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.38/127.16
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.38/127.16
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.38/127.16
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.16
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.16
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.16
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.16
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.38/127.16
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.38/127.16
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.38/127.16
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.38/127.16
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.38/127.16
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.38/127.16
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.38/127.16
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.38/127.16
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.38/127.16
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.38/127.16
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.38/127.16
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.38/127.16
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.38/127.16
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.38/127.16
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.38/127.16
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.38/127.16
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.38/127.16
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.16
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.16
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.16
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.16
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.38/127.16
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.38/127.16
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.38/127.16
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.38/127.16
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.38/127.16
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.16
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.38/127.16
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.38/127.16
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.16
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.16
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.16
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.16
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.16
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.16
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.16
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.16
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.16
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.16
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.16
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.16
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.16
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.16
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.16
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.16
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.38/127.16
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.38/127.16
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.38/127.16
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.38/127.16
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.38/127.16
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.38/127.16
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.38/127.16
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.38/127.16
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.16
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.38/127.16
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.16
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.38/127.16
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.16
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.38/127.16
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.38/127.16
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.16
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.38/127.16
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.16
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.16
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.38/127.16
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.38/127.16
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.38/127.16
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.16
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.16
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.16
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.16
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.16
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.16
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.16
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.16
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.16
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.16
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.16
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.16
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.16
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.16
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.16
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.16
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.16
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.38/127.16
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.38/127.16
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.38/127.16
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.38/127.16
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.38/127.16
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.38/127.16
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.16
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.38/127.16
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.16
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.16
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.38/127.16
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.38/127.16
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.38/127.16
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.38/127.16
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.16
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.16
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.16
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.16
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.16
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.16
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.16
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.16
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.16
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.16
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.16
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.16
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.16
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.16
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.16
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.16
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.38/127.16
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.38/127.16
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.38/127.16
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.38/127.16
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.38/127.16
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.38/127.16
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.38/127.16
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.38/127.16
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.38/127.16
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.38/127.16
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.38/127.16
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.16
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.38/127.16
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.16
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.38/127.16
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.38/127.16
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.38/127.16
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.16
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.38/127.16
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.16
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.38/127.16
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.38/127.16
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.16
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.38/127.16
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.16
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.16
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.38/127.16
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.38/127.16
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.38/127.16
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.38/127.16
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.38/127.16
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.16
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.38/127.16
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.38/127.16
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.38/127.16
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.38/127.16
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.38/127.16
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.38/127.16
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.38/127.16
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.38/127.16
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.38/127.16
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.38/127.16
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.38/127.16
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.38/127.16
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.38/127.16
PROPER(dbl(01)) → c45(DBL(ok(01)))
419.38/127.16
PROPER(s(dbl(z0))) → c47(S(dbl(proper(z0))), PROPER(dbl(z0)))
419.38/127.16
PROPER(s(s(z0))) → c47(S(s(proper(z0))), PROPER(s(z0)))
419.38/127.16
PROPER(s(dbls(z0))) → c47(S(dbls(proper(z0))), PROPER(dbls(z0)))
419.38/127.16
PROPER(s(cons(z0, z1))) → c47(S(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.38/127.16
PROPER(s(sel(z0, z1))) → c47(S(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.38/127.16
PROPER(s(indx(z0, z1))) → c47(S(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.38/127.16
PROPER(s(from(z0))) → c47(S(from(proper(z0))), PROPER(from(z0)))
419.38/127.16
PROPER(s(dbl1(z0))) → c47(S(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.38/127.16
PROPER(s(s1(z0))) → c47(S(s1(proper(z0))), PROPER(s1(z0)))
419.38/127.16
PROPER(s(sel1(z0, z1))) → c47(S(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.38/127.16
PROPER(s(quote(z0))) → c47(S(quote(proper(z0))), PROPER(quote(z0)))
419.38/127.16
PROPER(s(0)) → c47(S(ok(0)))
419.38/127.16
PROPER(s(nil)) → c47(S(ok(nil)))
419.38/127.16
PROPER(s(01)) → c47(S(ok(01)))
S tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.38/127.16
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.38/127.16
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.38/127.16
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.38/127.16
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.38/127.16
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.38/127.16
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.38/127.16
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.38/127.16
DBL(mark(z0)) → c27(DBL(z0))
419.38/127.16
DBL(ok(z0)) → c28(DBL(z0))
419.38/127.16
DBLS(mark(z0)) → c29(DBLS(z0))
419.38/127.16
DBLS(ok(z0)) → c30(DBLS(z0))
419.38/127.16
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.38/127.16
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.38/127.16
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.38/127.16
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.38/127.16
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.38/127.16
DBL1(mark(z0)) → c36(DBL1(z0))
419.38/127.16
DBL1(ok(z0)) → c37(DBL1(z0))
419.38/127.16
S1(mark(z0)) → c38(S1(z0))
419.38/127.16
S1(ok(z0)) → c39(S1(z0))
419.38/127.16
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.38/127.16
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.38/127.16
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.38/127.16
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.38/127.16
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.38/127.16
PROPER(dbls(z0)) → c48(DBLS(proper(z0)), PROPER(z0))
419.38/127.16
PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.16
PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.16
PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.16
PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
419.38/127.16
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
419.38/127.16
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
419.38/127.16
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.16
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
419.38/127.16
S(ok(z0)) → c59(S(z0))
419.38/127.16
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.38/127.16
FROM(ok(z0)) → c61(FROM(z0))
419.38/127.16
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
419.38/127.16
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.38/127.16
ACTIVE(from(z0)) → c8(S(z0))
419.38/127.16
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.38/127.16
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.38/127.16
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.38/127.16
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.38/127.16
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.38/127.16
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.38/127.16
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.38/127.16
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.38/127.16
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.38/127.16
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.38/127.16
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.38/127.16
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.38/127.16
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.38/127.16
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.38/127.16
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.16
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.16
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.16
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.16
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.16
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.16
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.16
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.16
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.16
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.16
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.16
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.16
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.16
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.16
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.16
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.16
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.38/127.16
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.38/127.16
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.38/127.16
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.38/127.16
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.38/127.16
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.16
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.16
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.16
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.16
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.16
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.16
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.16
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.16
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.16
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.16
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.16
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.16
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.16
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.16
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.16
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.16
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.38/127.16
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.38/127.16
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.38/127.16
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.16
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.38/127.16
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.38/127.16
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.38/127.16
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.16
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.38/127.16
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.38/127.16
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.38/127.16
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.16
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.16
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.16
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.16
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.38/127.16
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.38/127.16
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.38/127.16
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.38/127.16
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.38/127.16
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.38/127.18
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.38/127.18
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.38/127.18
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.38/127.18
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.38/127.18
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.38/127.18
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.38/127.18
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.38/127.18
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.38/127.18
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.38/127.18
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.38/127.18
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.38/127.18
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.18
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.18
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.18
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.18
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.38/127.18
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.38/127.18
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.38/127.18
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.38/127.18
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.38/127.18
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.18
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.38/127.18
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.38/127.18
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.18
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.18
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.18
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.18
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.18
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.18
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.18
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.18
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.18
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.18
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.18
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.18
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.18
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.18
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.18
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.18
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.38/127.18
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.38/127.18
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.38/127.18
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.38/127.18
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.38/127.18
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.38/127.18
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.38/127.18
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.38/127.18
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.18
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.38/127.18
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.18
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.38/127.18
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.18
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.38/127.18
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.38/127.18
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.18
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.38/127.18
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.18
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.18
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.38/127.18
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.38/127.18
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.38/127.18
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.18
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.18
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.18
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.18
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.18
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.18
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.18
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.18
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.18
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.18
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.18
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.18
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.18
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.18
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.18
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.18
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.18
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.38/127.18
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.38/127.18
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.38/127.18
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.38/127.18
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.38/127.18
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.38/127.18
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.18
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.38/127.18
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.18
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.18
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.38/127.18
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.38/127.18
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.38/127.18
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.38/127.18
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.18
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.18
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.18
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.18
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.18
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.18
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.18
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.18
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.18
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.18
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.18
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.18
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.18
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.18
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.18
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.18
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.38/127.18
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.38/127.18
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.38/127.18
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.38/127.18
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.38/127.18
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.38/127.18
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.38/127.18
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.38/127.18
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.38/127.18
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.38/127.18
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.38/127.18
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.18
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.38/127.18
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.18
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.38/127.18
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.38/127.18
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.38/127.18
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.18
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.38/127.18
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.18
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.38/127.18
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.38/127.18
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.18
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.38/127.18
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.18
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.18
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.38/127.18
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.38/127.18
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.38/127.18
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.38/127.18
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.38/127.18
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.18
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.38/127.18
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.38/127.18
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.38/127.18
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.38/127.18
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.38/127.18
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.38/127.18
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.38/127.19
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.38/127.19
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.38/127.19
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.38/127.19
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.38/127.19
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.38/127.19
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.38/127.19
PROPER(dbl(01)) → c45(DBL(ok(01)))
419.38/127.19
PROPER(s(dbl(z0))) → c47(S(dbl(proper(z0))), PROPER(dbl(z0)))
419.38/127.19
PROPER(s(s(z0))) → c47(S(s(proper(z0))), PROPER(s(z0)))
419.38/127.19
PROPER(s(dbls(z0))) → c47(S(dbls(proper(z0))), PROPER(dbls(z0)))
419.38/127.19
PROPER(s(cons(z0, z1))) → c47(S(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.38/127.19
PROPER(s(sel(z0, z1))) → c47(S(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.38/127.19
PROPER(s(indx(z0, z1))) → c47(S(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.38/127.19
PROPER(s(from(z0))) → c47(S(from(proper(z0))), PROPER(from(z0)))
419.38/127.19
PROPER(s(dbl1(z0))) → c47(S(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.38/127.19
PROPER(s(s1(z0))) → c47(S(s1(proper(z0))), PROPER(s1(z0)))
419.38/127.19
PROPER(s(sel1(z0, z1))) → c47(S(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.38/127.19
PROPER(s(quote(z0))) → c47(S(quote(proper(z0))), PROPER(quote(z0)))
419.38/127.19
PROPER(s(0)) → c47(S(ok(0)))
419.38/127.19
PROPER(s(nil)) → c47(S(ok(nil)))
419.38/127.19
PROPER(s(01)) → c47(S(ok(01)))
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
ACTIVE, DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, PROPER, S, CONS, FROM, TOP
Compound Symbols:
c5, c12, c15, c16, c19, c20, c24, c25, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c48, c50, c51, c52, c53, c54, c56, c57, c58, c59, c60, c61, c62, c63, c8, c, c17, c17, c1, c18, c18, c2, c21, c21, c3, c22, c22, c4, c23, c23, c6, c26, c26, c7, c45, c45, c47, c47
419.38/127.19
419.38/127.19
(51) CdtNarrowingProof (BOTH BOUNDS(ID, ID) transformation)
Use narrowing to replace
PROPER(
dbls(
z0)) →
c48(
DBLS(
proper(
z0)),
PROPER(
z0)) by
PROPER(dbls(dbl(z0))) → c48(DBLS(dbl(proper(z0))), PROPER(dbl(z0)))
419.38/127.19
PROPER(dbls(0)) → c48(DBLS(ok(0)), PROPER(0))
419.38/127.19
PROPER(dbls(s(z0))) → c48(DBLS(s(proper(z0))), PROPER(s(z0)))
419.38/127.19
PROPER(dbls(dbls(z0))) → c48(DBLS(dbls(proper(z0))), PROPER(dbls(z0)))
419.38/127.19
PROPER(dbls(nil)) → c48(DBLS(ok(nil)), PROPER(nil))
419.38/127.19
PROPER(dbls(cons(z0, z1))) → c48(DBLS(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.38/127.19
PROPER(dbls(sel(z0, z1))) → c48(DBLS(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.38/127.19
PROPER(dbls(indx(z0, z1))) → c48(DBLS(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.38/127.19
PROPER(dbls(from(z0))) → c48(DBLS(from(proper(z0))), PROPER(from(z0)))
419.38/127.19
PROPER(dbls(dbl1(z0))) → c48(DBLS(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.38/127.19
PROPER(dbls(01)) → c48(DBLS(ok(01)), PROPER(01))
419.38/127.19
PROPER(dbls(s1(z0))) → c48(DBLS(s1(proper(z0))), PROPER(s1(z0)))
419.38/127.19
PROPER(dbls(sel1(z0, z1))) → c48(DBLS(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.38/127.19
PROPER(dbls(quote(z0))) → c48(DBLS(quote(proper(z0))), PROPER(quote(z0)))
419.38/127.19
419.38/127.19
(52) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
419.38/127.19
active(dbl(s(z0))) → mark(s(s(dbl(z0))))
419.38/127.19
active(dbls(nil)) → mark(nil)
419.38/127.19
active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
419.38/127.19
active(sel(0, cons(z0, z1))) → mark(z0)
419.38/127.19
active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
419.38/127.19
active(indx(nil, z0)) → mark(nil)
419.38/127.19
active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
419.38/127.19
active(from(z0)) → mark(cons(z0, from(s(z0))))
419.38/127.19
active(dbl1(0)) → mark(01)
419.38/127.19
active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
419.38/127.19
active(sel1(0, cons(z0, z1))) → mark(z0)
419.38/127.19
active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
419.38/127.19
active(quote(0)) → mark(01)
419.38/127.19
active(quote(s(z0))) → mark(s1(quote(z0)))
419.38/127.19
active(quote(dbl(z0))) → mark(dbl1(z0))
419.38/127.19
active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
419.38/127.19
active(dbl(z0)) → dbl(active(z0))
419.38/127.19
active(dbls(z0)) → dbls(active(z0))
419.38/127.19
active(sel(z0, z1)) → sel(active(z0), z1)
419.38/127.19
active(sel(z0, z1)) → sel(z0, active(z1))
419.38/127.19
active(indx(z0, z1)) → indx(active(z0), z1)
419.38/127.19
active(dbl1(z0)) → dbl1(active(z0))
419.38/127.19
active(s1(z0)) → s1(active(z0))
419.38/127.19
active(sel1(z0, z1)) → sel1(active(z0), z1)
419.38/127.19
active(sel1(z0, z1)) → sel1(z0, active(z1))
419.38/127.19
active(quote(z0)) → quote(active(z0))
419.38/127.19
dbl(mark(z0)) → mark(dbl(z0))
419.38/127.19
dbl(ok(z0)) → ok(dbl(z0))
419.38/127.19
dbls(mark(z0)) → mark(dbls(z0))
419.38/127.19
dbls(ok(z0)) → ok(dbls(z0))
419.38/127.19
sel(mark(z0), z1) → mark(sel(z0, z1))
419.38/127.19
sel(z0, mark(z1)) → mark(sel(z0, z1))
419.38/127.19
sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
419.38/127.19
indx(mark(z0), z1) → mark(indx(z0, z1))
419.38/127.19
indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
419.38/127.19
dbl1(mark(z0)) → mark(dbl1(z0))
419.38/127.19
dbl1(ok(z0)) → ok(dbl1(z0))
419.38/127.19
s1(mark(z0)) → mark(s1(z0))
419.38/127.19
s1(ok(z0)) → ok(s1(z0))
419.38/127.19
sel1(mark(z0), z1) → mark(sel1(z0, z1))
419.38/127.19
sel1(z0, mark(z1)) → mark(sel1(z0, z1))
419.38/127.19
sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
419.38/127.19
quote(mark(z0)) → mark(quote(z0))
419.38/127.19
quote(ok(z0)) → ok(quote(z0))
419.38/127.19
proper(dbl(z0)) → dbl(proper(z0))
419.38/127.19
proper(0) → ok(0)
419.38/127.19
proper(s(z0)) → s(proper(z0))
419.38/127.19
proper(dbls(z0)) → dbls(proper(z0))
419.38/127.19
proper(nil) → ok(nil)
419.38/127.19
proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
419.38/127.19
proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
419.38/127.19
proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
419.38/127.19
proper(from(z0)) → from(proper(z0))
419.38/127.19
proper(dbl1(z0)) → dbl1(proper(z0))
419.38/127.19
proper(01) → ok(01)
419.38/127.19
proper(s1(z0)) → s1(proper(z0))
419.38/127.19
proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
419.38/127.19
proper(quote(z0)) → quote(proper(z0))
419.38/127.19
s(ok(z0)) → ok(s(z0))
419.38/127.19
cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
419.38/127.19
from(ok(z0)) → ok(from(z0))
419.38/127.19
top(mark(z0)) → top(proper(z0))
419.38/127.19
top(ok(z0)) → top(active(z0))
Tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.38/127.19
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.38/127.19
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.38/127.19
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.38/127.19
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.38/127.19
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.38/127.19
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.38/127.19
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.38/127.19
DBL(mark(z0)) → c27(DBL(z0))
419.38/127.19
DBL(ok(z0)) → c28(DBL(z0))
419.38/127.19
DBLS(mark(z0)) → c29(DBLS(z0))
419.38/127.19
DBLS(ok(z0)) → c30(DBLS(z0))
419.38/127.19
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.38/127.19
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.38/127.19
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.38/127.19
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.38/127.19
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.38/127.19
DBL1(mark(z0)) → c36(DBL1(z0))
419.38/127.19
DBL1(ok(z0)) → c37(DBL1(z0))
419.38/127.19
S1(mark(z0)) → c38(S1(z0))
419.38/127.19
S1(ok(z0)) → c39(S1(z0))
419.38/127.19
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.38/127.19
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.38/127.19
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.38/127.19
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.38/127.19
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.38/127.19
PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.19
PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.19
PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.19
PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
419.38/127.19
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
419.38/127.19
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
419.38/127.19
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.19
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
419.38/127.19
S(ok(z0)) → c59(S(z0))
419.38/127.19
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.38/127.19
FROM(ok(z0)) → c61(FROM(z0))
419.38/127.19
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
419.38/127.19
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.38/127.19
ACTIVE(from(z0)) → c8(S(z0))
419.38/127.19
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.38/127.19
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.38/127.19
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.38/127.19
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.38/127.19
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.38/127.19
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.38/127.19
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.38/127.19
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.38/127.19
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.38/127.19
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.38/127.19
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.38/127.19
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.38/127.19
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.38/127.19
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.38/127.19
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.19
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.19
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.19
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.19
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.19
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.19
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.19
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.19
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.19
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.19
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.19
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.19
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.19
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.19
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.19
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.19
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.38/127.19
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.38/127.19
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.38/127.19
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.38/127.19
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.38/127.19
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.19
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.19
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.19
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.19
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.19
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.19
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.19
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.19
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.19
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.19
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.19
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.19
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.19
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.19
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.19
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.19
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.38/127.19
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.38/127.19
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.38/127.19
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.19
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.38/127.19
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.38/127.19
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.38/127.19
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.19
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.38/127.19
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.38/127.19
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.38/127.19
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.19
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.19
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.19
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.19
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.38/127.19
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.38/127.19
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.38/127.19
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.38/127.19
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.38/127.19
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.38/127.19
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.38/127.19
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.38/127.19
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.38/127.19
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.38/127.19
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.38/127.19
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.38/127.19
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.38/127.19
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.38/127.19
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.38/127.19
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.38/127.19
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.38/127.19
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.19
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.19
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.19
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.19
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.38/127.19
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.38/127.19
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.38/127.19
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.38/127.19
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.38/127.19
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.19
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.38/127.19
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.38/127.19
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.19
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.19
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.19
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.19
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.19
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.19
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.19
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.19
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.19
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.19
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.19
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.19
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.19
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.19
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.19
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.19
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.38/127.19
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.38/127.19
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.38/127.19
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.38/127.19
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.38/127.19
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.38/127.19
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.38/127.19
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.38/127.19
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.19
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.38/127.19
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.19
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.38/127.19
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.19
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.38/127.19
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.38/127.19
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.19
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.38/127.19
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.19
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.19
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.38/127.19
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.38/127.19
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.38/127.19
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.19
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.19
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.19
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.19
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.19
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.19
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.19
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.19
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.19
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.19
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.19
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.19
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.19
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.19
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.19
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.19
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.19
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.38/127.19
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.38/127.19
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.38/127.19
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.38/127.19
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.38/127.19
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.38/127.19
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.19
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.38/127.19
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.19
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.19
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.38/127.19
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.38/127.19
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.38/127.19
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.38/127.19
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.19
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.19
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.19
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.19
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.19
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.19
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.19
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.19
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.19
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.19
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.19
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.19
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.19
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.19
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.19
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.19
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.38/127.19
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.38/127.19
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.38/127.19
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.38/127.19
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.38/127.19
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.38/127.19
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.38/127.19
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.38/127.19
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.38/127.19
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.38/127.19
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.38/127.19
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.19
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.38/127.19
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.19
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.38/127.19
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.38/127.19
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.38/127.19
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.19
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.38/127.19
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.19
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.38/127.19
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.38/127.19
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.19
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.38/127.19
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.19
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.19
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.38/127.19
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.38/127.19
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.38/127.19
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.38/127.19
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.38/127.19
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.19
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.38/127.19
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.38/127.19
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.38/127.19
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.38/127.19
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.38/127.19
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.38/127.19
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.38/127.19
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.38/127.19
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.38/127.19
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.38/127.19
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.38/127.19
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.38/127.19
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.38/127.19
PROPER(dbl(01)) → c45(DBL(ok(01)))
419.38/127.19
PROPER(s(dbl(z0))) → c47(S(dbl(proper(z0))), PROPER(dbl(z0)))
419.38/127.19
PROPER(s(s(z0))) → c47(S(s(proper(z0))), PROPER(s(z0)))
419.38/127.19
PROPER(s(dbls(z0))) → c47(S(dbls(proper(z0))), PROPER(dbls(z0)))
419.38/127.19
PROPER(s(cons(z0, z1))) → c47(S(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.38/127.19
PROPER(s(sel(z0, z1))) → c47(S(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.38/127.19
PROPER(s(indx(z0, z1))) → c47(S(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.38/127.19
PROPER(s(from(z0))) → c47(S(from(proper(z0))), PROPER(from(z0)))
419.38/127.19
PROPER(s(dbl1(z0))) → c47(S(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.38/127.19
PROPER(s(s1(z0))) → c47(S(s1(proper(z0))), PROPER(s1(z0)))
419.38/127.19
PROPER(s(sel1(z0, z1))) → c47(S(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.38/127.19
PROPER(s(quote(z0))) → c47(S(quote(proper(z0))), PROPER(quote(z0)))
419.38/127.19
PROPER(s(0)) → c47(S(ok(0)))
419.38/127.19
PROPER(s(nil)) → c47(S(ok(nil)))
419.38/127.19
PROPER(s(01)) → c47(S(ok(01)))
419.38/127.19
PROPER(dbls(dbl(z0))) → c48(DBLS(dbl(proper(z0))), PROPER(dbl(z0)))
419.38/127.19
PROPER(dbls(0)) → c48(DBLS(ok(0)), PROPER(0))
419.38/127.19
PROPER(dbls(s(z0))) → c48(DBLS(s(proper(z0))), PROPER(s(z0)))
419.38/127.19
PROPER(dbls(dbls(z0))) → c48(DBLS(dbls(proper(z0))), PROPER(dbls(z0)))
419.38/127.19
PROPER(dbls(nil)) → c48(DBLS(ok(nil)), PROPER(nil))
419.38/127.19
PROPER(dbls(cons(z0, z1))) → c48(DBLS(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.38/127.19
PROPER(dbls(sel(z0, z1))) → c48(DBLS(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.38/127.19
PROPER(dbls(indx(z0, z1))) → c48(DBLS(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.38/127.19
PROPER(dbls(from(z0))) → c48(DBLS(from(proper(z0))), PROPER(from(z0)))
419.38/127.19
PROPER(dbls(dbl1(z0))) → c48(DBLS(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.38/127.19
PROPER(dbls(01)) → c48(DBLS(ok(01)), PROPER(01))
419.38/127.19
PROPER(dbls(s1(z0))) → c48(DBLS(s1(proper(z0))), PROPER(s1(z0)))
419.38/127.19
PROPER(dbls(sel1(z0, z1))) → c48(DBLS(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.38/127.19
PROPER(dbls(quote(z0))) → c48(DBLS(quote(proper(z0))), PROPER(quote(z0)))
S tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.38/127.19
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.38/127.19
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.38/127.19
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.38/127.19
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.38/127.19
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.38/127.19
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.38/127.19
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.38/127.19
DBL(mark(z0)) → c27(DBL(z0))
419.38/127.19
DBL(ok(z0)) → c28(DBL(z0))
419.38/127.19
DBLS(mark(z0)) → c29(DBLS(z0))
419.38/127.19
DBLS(ok(z0)) → c30(DBLS(z0))
419.38/127.19
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.38/127.19
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.38/127.19
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.38/127.19
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.38/127.19
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.38/127.19
DBL1(mark(z0)) → c36(DBL1(z0))
419.38/127.19
DBL1(ok(z0)) → c37(DBL1(z0))
419.38/127.19
S1(mark(z0)) → c38(S1(z0))
419.38/127.19
S1(ok(z0)) → c39(S1(z0))
419.38/127.19
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.38/127.19
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.38/127.19
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.38/127.19
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.38/127.19
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.38/127.19
PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.19
PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.19
PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.19
PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
419.38/127.19
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
419.38/127.19
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
419.38/127.19
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.19
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
419.38/127.19
S(ok(z0)) → c59(S(z0))
419.38/127.19
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.38/127.19
FROM(ok(z0)) → c61(FROM(z0))
419.38/127.19
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
419.38/127.19
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.38/127.19
ACTIVE(from(z0)) → c8(S(z0))
419.38/127.19
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.38/127.19
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.38/127.19
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.38/127.19
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.38/127.19
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.38/127.19
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.38/127.19
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.38/127.19
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.38/127.19
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.38/127.19
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.38/127.19
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.38/127.19
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.38/127.19
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.38/127.19
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.38/127.19
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.19
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.19
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.19
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.19
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.19
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.19
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.19
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.19
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.19
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.19
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.19
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.19
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.19
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.19
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.19
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.19
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.38/127.19
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.38/127.19
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.38/127.19
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.38/127.19
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.38/127.19
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.19
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.19
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.19
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.19
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.19
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.19
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.19
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.19
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.19
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.19
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.19
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.19
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.19
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.19
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.19
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.19
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.38/127.19
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.38/127.19
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.38/127.19
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.19
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.38/127.19
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.38/127.19
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.38/127.19
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.19
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.38/127.19
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.38/127.19
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.38/127.19
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.19
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.19
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.19
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.19
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.38/127.19
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.38/127.19
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.38/127.19
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.38/127.19
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.38/127.19
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.38/127.19
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.38/127.19
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.38/127.19
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.38/127.19
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.38/127.19
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.38/127.19
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.38/127.19
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.38/127.19
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.38/127.19
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.38/127.19
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.38/127.19
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.38/127.19
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.19
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.19
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.19
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.19
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.38/127.19
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.38/127.19
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.38/127.19
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.38/127.19
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.38/127.19
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.19
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.38/127.19
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.38/127.19
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.19
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.19
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.19
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.19
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.19
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.19
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.19
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.19
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.19
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.19
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.19
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.19
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.19
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.19
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.19
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.19
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.38/127.19
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.38/127.19
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.38/127.19
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.38/127.19
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.38/127.19
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.38/127.19
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.38/127.19
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.38/127.19
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.19
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.38/127.19
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.19
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.38/127.19
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.19
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.38/127.19
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.38/127.19
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.19
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.38/127.19
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.19
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.19
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.38/127.19
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.38/127.19
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.38/127.19
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.19
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.19
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.19
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.19
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.19
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.19
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.19
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.19
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.19
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.19
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.19
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.19
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.19
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.19
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.19
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.19
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.19
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.38/127.19
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.38/127.19
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.38/127.19
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.38/127.19
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.38/127.19
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.38/127.19
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.19
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.38/127.19
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.19
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.19
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.38/127.19
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.38/127.19
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.38/127.19
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.38/127.19
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.19
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.19
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.19
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.19
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.19
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.19
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.19
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.19
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.19
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.19
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.19
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.19
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.19
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.19
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.19
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.19
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.38/127.19
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.38/127.19
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.38/127.19
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.38/127.19
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.38/127.19
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.38/127.19
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.38/127.19
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.38/127.19
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.38/127.19
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.38/127.19
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.38/127.19
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.19
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.38/127.19
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.19
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.38/127.19
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.38/127.19
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.38/127.19
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.19
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.38/127.19
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.19
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.38/127.19
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.38/127.19
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.19
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.38/127.19
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.19
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.19
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.38/127.19
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.38/127.19
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.38/127.19
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.38/127.19
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.38/127.19
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.19
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.38/127.19
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.38/127.19
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.38/127.19
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.38/127.19
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.38/127.19
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.38/127.19
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.38/127.19
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.38/127.19
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.38/127.19
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.38/127.19
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.38/127.19
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.38/127.19
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.38/127.19
PROPER(dbl(01)) → c45(DBL(ok(01)))
419.38/127.19
PROPER(s(dbl(z0))) → c47(S(dbl(proper(z0))), PROPER(dbl(z0)))
419.38/127.19
PROPER(s(s(z0))) → c47(S(s(proper(z0))), PROPER(s(z0)))
419.38/127.19
PROPER(s(dbls(z0))) → c47(S(dbls(proper(z0))), PROPER(dbls(z0)))
419.38/127.19
PROPER(s(cons(z0, z1))) → c47(S(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.38/127.19
PROPER(s(sel(z0, z1))) → c47(S(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.38/127.19
PROPER(s(indx(z0, z1))) → c47(S(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.38/127.19
PROPER(s(from(z0))) → c47(S(from(proper(z0))), PROPER(from(z0)))
419.38/127.19
PROPER(s(dbl1(z0))) → c47(S(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.38/127.19
PROPER(s(s1(z0))) → c47(S(s1(proper(z0))), PROPER(s1(z0)))
419.38/127.19
PROPER(s(sel1(z0, z1))) → c47(S(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.38/127.19
PROPER(s(quote(z0))) → c47(S(quote(proper(z0))), PROPER(quote(z0)))
419.38/127.19
PROPER(s(0)) → c47(S(ok(0)))
419.38/127.19
PROPER(s(nil)) → c47(S(ok(nil)))
419.38/127.19
PROPER(s(01)) → c47(S(ok(01)))
419.38/127.19
PROPER(dbls(dbl(z0))) → c48(DBLS(dbl(proper(z0))), PROPER(dbl(z0)))
419.38/127.19
PROPER(dbls(0)) → c48(DBLS(ok(0)), PROPER(0))
419.38/127.19
PROPER(dbls(s(z0))) → c48(DBLS(s(proper(z0))), PROPER(s(z0)))
419.38/127.19
PROPER(dbls(dbls(z0))) → c48(DBLS(dbls(proper(z0))), PROPER(dbls(z0)))
419.38/127.19
PROPER(dbls(nil)) → c48(DBLS(ok(nil)), PROPER(nil))
419.38/127.19
PROPER(dbls(cons(z0, z1))) → c48(DBLS(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.38/127.19
PROPER(dbls(sel(z0, z1))) → c48(DBLS(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.38/127.19
PROPER(dbls(indx(z0, z1))) → c48(DBLS(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.38/127.19
PROPER(dbls(from(z0))) → c48(DBLS(from(proper(z0))), PROPER(from(z0)))
419.38/127.19
PROPER(dbls(dbl1(z0))) → c48(DBLS(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.38/127.19
PROPER(dbls(01)) → c48(DBLS(ok(01)), PROPER(01))
419.38/127.19
PROPER(dbls(s1(z0))) → c48(DBLS(s1(proper(z0))), PROPER(s1(z0)))
419.38/127.19
PROPER(dbls(sel1(z0, z1))) → c48(DBLS(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.38/127.19
PROPER(dbls(quote(z0))) → c48(DBLS(quote(proper(z0))), PROPER(quote(z0)))
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
ACTIVE, DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, PROPER, S, CONS, FROM, TOP
Compound Symbols:
c5, c12, c15, c16, c19, c20, c24, c25, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c50, c51, c52, c53, c54, c56, c57, c58, c59, c60, c61, c62, c63, c8, c, c17, c17, c1, c18, c18, c2, c21, c21, c3, c22, c22, c4, c23, c23, c6, c26, c26, c7, c45, c45, c47, c47, c48
419.38/127.19
419.38/127.19
(53) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID) transformation)
Removed 3 trailing tuple parts
419.38/127.19
419.38/127.19
(54) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
419.38/127.19
active(dbl(s(z0))) → mark(s(s(dbl(z0))))
419.38/127.19
active(dbls(nil)) → mark(nil)
419.38/127.19
active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
419.38/127.19
active(sel(0, cons(z0, z1))) → mark(z0)
419.38/127.19
active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
419.38/127.19
active(indx(nil, z0)) → mark(nil)
419.38/127.19
active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
419.38/127.19
active(from(z0)) → mark(cons(z0, from(s(z0))))
419.38/127.19
active(dbl1(0)) → mark(01)
419.38/127.19
active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
419.38/127.19
active(sel1(0, cons(z0, z1))) → mark(z0)
419.38/127.19
active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
419.38/127.19
active(quote(0)) → mark(01)
419.38/127.19
active(quote(s(z0))) → mark(s1(quote(z0)))
419.38/127.19
active(quote(dbl(z0))) → mark(dbl1(z0))
419.38/127.19
active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
419.38/127.19
active(dbl(z0)) → dbl(active(z0))
419.38/127.19
active(dbls(z0)) → dbls(active(z0))
419.38/127.19
active(sel(z0, z1)) → sel(active(z0), z1)
419.38/127.19
active(sel(z0, z1)) → sel(z0, active(z1))
419.38/127.19
active(indx(z0, z1)) → indx(active(z0), z1)
419.38/127.19
active(dbl1(z0)) → dbl1(active(z0))
419.38/127.19
active(s1(z0)) → s1(active(z0))
419.38/127.19
active(sel1(z0, z1)) → sel1(active(z0), z1)
419.38/127.19
active(sel1(z0, z1)) → sel1(z0, active(z1))
419.38/127.19
active(quote(z0)) → quote(active(z0))
419.38/127.19
dbl(mark(z0)) → mark(dbl(z0))
419.38/127.19
dbl(ok(z0)) → ok(dbl(z0))
419.38/127.19
dbls(mark(z0)) → mark(dbls(z0))
419.38/127.19
dbls(ok(z0)) → ok(dbls(z0))
419.38/127.19
sel(mark(z0), z1) → mark(sel(z0, z1))
419.38/127.19
sel(z0, mark(z1)) → mark(sel(z0, z1))
419.38/127.19
sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
419.38/127.19
indx(mark(z0), z1) → mark(indx(z0, z1))
419.38/127.19
indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
419.38/127.19
dbl1(mark(z0)) → mark(dbl1(z0))
419.38/127.19
dbl1(ok(z0)) → ok(dbl1(z0))
419.38/127.19
s1(mark(z0)) → mark(s1(z0))
419.38/127.19
s1(ok(z0)) → ok(s1(z0))
419.38/127.19
sel1(mark(z0), z1) → mark(sel1(z0, z1))
419.38/127.19
sel1(z0, mark(z1)) → mark(sel1(z0, z1))
419.38/127.19
sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
419.38/127.19
quote(mark(z0)) → mark(quote(z0))
419.38/127.19
quote(ok(z0)) → ok(quote(z0))
419.38/127.19
proper(dbl(z0)) → dbl(proper(z0))
419.38/127.19
proper(0) → ok(0)
419.38/127.19
proper(s(z0)) → s(proper(z0))
419.38/127.19
proper(dbls(z0)) → dbls(proper(z0))
419.38/127.19
proper(nil) → ok(nil)
419.38/127.19
proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
419.38/127.19
proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
419.38/127.19
proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
419.38/127.19
proper(from(z0)) → from(proper(z0))
419.38/127.19
proper(dbl1(z0)) → dbl1(proper(z0))
419.38/127.19
proper(01) → ok(01)
419.38/127.19
proper(s1(z0)) → s1(proper(z0))
419.38/127.19
proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
419.38/127.19
proper(quote(z0)) → quote(proper(z0))
419.38/127.19
s(ok(z0)) → ok(s(z0))
419.38/127.19
cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
419.38/127.19
from(ok(z0)) → ok(from(z0))
419.38/127.19
top(mark(z0)) → top(proper(z0))
419.38/127.19
top(ok(z0)) → top(active(z0))
Tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.38/127.19
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.38/127.19
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.38/127.19
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.38/127.19
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.38/127.19
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.38/127.19
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.38/127.19
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.38/127.19
DBL(mark(z0)) → c27(DBL(z0))
419.38/127.19
DBL(ok(z0)) → c28(DBL(z0))
419.38/127.19
DBLS(mark(z0)) → c29(DBLS(z0))
419.38/127.19
DBLS(ok(z0)) → c30(DBLS(z0))
419.38/127.19
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.38/127.19
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.38/127.19
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.38/127.19
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.38/127.19
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.38/127.19
DBL1(mark(z0)) → c36(DBL1(z0))
419.38/127.19
DBL1(ok(z0)) → c37(DBL1(z0))
419.38/127.19
S1(mark(z0)) → c38(S1(z0))
419.38/127.19
S1(ok(z0)) → c39(S1(z0))
419.38/127.19
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.38/127.19
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.38/127.19
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.38/127.19
QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
419.38/127.19
PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.19
PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.19
PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.19
PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
419.38/127.19
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
419.38/127.19
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
419.38/127.19
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.19
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
419.38/127.19
S(ok(z0)) → c59(S(z0))
419.38/127.19
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.38/127.19
FROM(ok(z0)) → c61(FROM(z0))
419.38/127.19
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
419.38/127.19
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.38/127.19
ACTIVE(from(z0)) → c8(S(z0))
419.38/127.19
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.38/127.19
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.38/127.19
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.38/127.19
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.38/127.19
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.38/127.19
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.38/127.19
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.38/127.19
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.38/127.19
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.38/127.19
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.38/127.19
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.38/127.19
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.38/127.19
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.38/127.19
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.38/127.19
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.19
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.19
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.19
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.19
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.19
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.19
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.19
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.19
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.19
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.19
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.19
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.19
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.19
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.19
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.19
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.19
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.38/127.19
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.38/127.19
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.38/127.19
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.38/127.19
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.38/127.19
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.19
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.19
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.19
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.19
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.19
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.19
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.19
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.19
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.19
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.19
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.19
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.19
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.19
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.19
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.19
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.19
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.38/127.19
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.38/127.19
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.38/127.19
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.19
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.38/127.19
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.38/127.19
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.38/127.19
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.19
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.38/127.19
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.38/127.19
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.38/127.19
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.19
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.19
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.19
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.19
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.38/127.19
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.38/127.19
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.38/127.19
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.38/127.19
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.38/127.19
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.38/127.19
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.38/127.19
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.38/127.19
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.38/127.19
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.38/127.19
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.38/127.19
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.38/127.19
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.38/127.19
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.38/127.19
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.38/127.19
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.38/127.19
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.38/127.19
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.19
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.19
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.19
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.19
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.38/127.19
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.38/127.19
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.38/127.19
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.38/127.19
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.38/127.19
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.19
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.38/127.19
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.38/127.19
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.19
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.19
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.19
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.19
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.19
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.19
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.19
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.19
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.19
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.19
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.19
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.19
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.19
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.19
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.19
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.19
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.38/127.19
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.38/127.19
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.38/127.19
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.38/127.19
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.38/127.19
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.38/127.19
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.38/127.19
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.38/127.19
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.19
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.38/127.19
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.19
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.38/127.19
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.19
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.38/127.19
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.38/127.19
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.19
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.38/127.19
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.19
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.19
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.38/127.19
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.38/127.19
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.38/127.19
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.19
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.19
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.19
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.19
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.19
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.19
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.19
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.19
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.19
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.19
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.19
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.19
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.19
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.19
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.19
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.19
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.19
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.38/127.19
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.38/127.19
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.38/127.19
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.38/127.19
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.38/127.19
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.38/127.19
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.19
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.38/127.19
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.19
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.19
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.38/127.19
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.38/127.19
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.38/127.19
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.38/127.19
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.19
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.19
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.19
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.19
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.19
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.19
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.19
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.19
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.19
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.19
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.19
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.19
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.19
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.19
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.19
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.19
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.38/127.19
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.38/127.19
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.38/127.19
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.38/127.19
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.38/127.19
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.38/127.19
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.38/127.19
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.38/127.19
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.38/127.19
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.38/127.19
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.38/127.19
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.19
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.38/127.19
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.19
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.38/127.19
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.38/127.19
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.38/127.19
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.19
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.38/127.19
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.19
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.38/127.19
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.38/127.19
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.19
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.38/127.19
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.19
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.19
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.38/127.19
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.38/127.19
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.38/127.19
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.38/127.19
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.38/127.19
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.19
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.38/127.19
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.38/127.19
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.38/127.19
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.38/127.19
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.38/127.19
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.38/127.19
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.38/127.19
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.38/127.19
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.38/127.19
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.38/127.19
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.38/127.19
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.38/127.19
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.38/127.19
PROPER(dbl(01)) → c45(DBL(ok(01)))
419.38/127.19
PROPER(s(dbl(z0))) → c47(S(dbl(proper(z0))), PROPER(dbl(z0)))
419.38/127.19
PROPER(s(s(z0))) → c47(S(s(proper(z0))), PROPER(s(z0)))
419.38/127.19
PROPER(s(dbls(z0))) → c47(S(dbls(proper(z0))), PROPER(dbls(z0)))
419.38/127.19
PROPER(s(cons(z0, z1))) → c47(S(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.38/127.19
PROPER(s(sel(z0, z1))) → c47(S(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.38/127.19
PROPER(s(indx(z0, z1))) → c47(S(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.38/127.19
PROPER(s(from(z0))) → c47(S(from(proper(z0))), PROPER(from(z0)))
419.38/127.19
PROPER(s(dbl1(z0))) → c47(S(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.38/127.19
PROPER(s(s1(z0))) → c47(S(s1(proper(z0))), PROPER(s1(z0)))
419.38/127.19
PROPER(s(sel1(z0, z1))) → c47(S(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.38/127.19
PROPER(s(quote(z0))) → c47(S(quote(proper(z0))), PROPER(quote(z0)))
419.38/127.19
PROPER(s(0)) → c47(S(ok(0)))
419.38/127.19
PROPER(s(nil)) → c47(S(ok(nil)))
419.38/127.19
PROPER(s(01)) → c47(S(ok(01)))
419.38/127.19
PROPER(dbls(dbl(z0))) → c48(DBLS(dbl(proper(z0))), PROPER(dbl(z0)))
419.38/127.19
PROPER(dbls(s(z0))) → c48(DBLS(s(proper(z0))), PROPER(s(z0)))
419.38/127.19
PROPER(dbls(dbls(z0))) → c48(DBLS(dbls(proper(z0))), PROPER(dbls(z0)))
419.38/127.19
PROPER(dbls(cons(z0, z1))) → c48(DBLS(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.38/127.19
PROPER(dbls(sel(z0, z1))) → c48(DBLS(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.38/127.19
PROPER(dbls(indx(z0, z1))) → c48(DBLS(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.38/127.19
PROPER(dbls(from(z0))) → c48(DBLS(from(proper(z0))), PROPER(from(z0)))
419.38/127.19
PROPER(dbls(dbl1(z0))) → c48(DBLS(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.38/127.19
PROPER(dbls(s1(z0))) → c48(DBLS(s1(proper(z0))), PROPER(s1(z0)))
419.38/127.19
PROPER(dbls(sel1(z0, z1))) → c48(DBLS(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.38/127.19
PROPER(dbls(quote(z0))) → c48(DBLS(quote(proper(z0))), PROPER(quote(z0)))
419.38/127.19
PROPER(dbls(0)) → c48(DBLS(ok(0)))
419.38/127.19
PROPER(dbls(nil)) → c48(DBLS(ok(nil)))
419.38/127.19
PROPER(dbls(01)) → c48(DBLS(ok(01)))
S tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.38/127.19
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.38/127.19
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.38/127.19
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.38/127.19
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.38/127.19
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.38/127.19
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.38/127.19
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.38/127.19
DBL(mark(z0)) → c27(DBL(z0))
419.38/127.19
DBL(ok(z0)) → c28(DBL(z0))
419.38/127.19
DBLS(mark(z0)) → c29(DBLS(z0))
419.38/127.19
DBLS(ok(z0)) → c30(DBLS(z0))
419.38/127.19
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.38/127.19
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.38/127.19
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.38/127.19
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.38/127.19
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.38/127.19
DBL1(mark(z0)) → c36(DBL1(z0))
419.38/127.19
DBL1(ok(z0)) → c37(DBL1(z0))
419.38/127.19
S1(mark(z0)) → c38(S1(z0))
419.38/127.19
S1(ok(z0)) → c39(S1(z0))
419.38/127.19
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.38/127.19
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.38/127.19
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.38/127.19
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.38/127.19
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.38/127.19
PROPER(cons(z0, z1)) → c50(CONS(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.19
PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.19
PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.19
PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
419.38/127.19
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
419.38/127.19
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
419.38/127.19
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.19
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
419.38/127.19
S(ok(z0)) → c59(S(z0))
419.38/127.19
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.38/127.19
FROM(ok(z0)) → c61(FROM(z0))
419.38/127.19
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
419.38/127.19
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.38/127.19
ACTIVE(from(z0)) → c8(S(z0))
419.38/127.19
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.38/127.19
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.38/127.19
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.38/127.19
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.38/127.19
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.38/127.19
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.38/127.19
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.38/127.19
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.38/127.19
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.38/127.19
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.38/127.19
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.38/127.19
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.38/127.19
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.38/127.19
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.38/127.19
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.19
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.19
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.19
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.19
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.19
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.19
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.19
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.19
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.19
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.19
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.19
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.19
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.19
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.19
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.19
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.19
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.38/127.19
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.38/127.19
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.38/127.19
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.38/127.19
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.38/127.19
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.19
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.19
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.19
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.19
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.19
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.19
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.19
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.19
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.19
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.19
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.19
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.19
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.19
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.19
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.19
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.19
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.38/127.19
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.38/127.19
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.38/127.19
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.19
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.38/127.19
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.38/127.19
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.38/127.19
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.19
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.38/127.19
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.38/127.19
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.38/127.19
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.19
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.19
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.19
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.19
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.38/127.19
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.38/127.19
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.38/127.19
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.38/127.19
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.38/127.19
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.38/127.19
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.38/127.19
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.38/127.19
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.38/127.19
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.38/127.19
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.38/127.19
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.38/127.19
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.38/127.19
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.38/127.19
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.38/127.19
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.38/127.19
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.38/127.19
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.19
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.19
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.19
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.19
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.38/127.19
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.38/127.19
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.38/127.19
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.38/127.19
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.38/127.19
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.19
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.38/127.19
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.38/127.19
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.19
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.19
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.19
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.19
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.19
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.19
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.19
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.19
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.19
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.19
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.19
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.19
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.19
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.19
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.19
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.19
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.38/127.19
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.38/127.19
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.38/127.19
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.38/127.19
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.38/127.19
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.38/127.19
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.38/127.19
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.38/127.19
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.19
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.38/127.19
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.19
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.38/127.19
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.19
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.38/127.19
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.38/127.19
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.19
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.38/127.19
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.19
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.19
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.38/127.19
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.38/127.19
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.38/127.19
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.19
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.19
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.19
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.19
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.19
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.19
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.19
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.19
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.19
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.19
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.19
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.19
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.19
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.19
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.19
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.19
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.19
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.38/127.19
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.38/127.19
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.38/127.19
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.38/127.19
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.38/127.19
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.38/127.19
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.19
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.38/127.19
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.19
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.19
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.38/127.19
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.38/127.19
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.38/127.19
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.38/127.19
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.19
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.19
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.19
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.19
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.19
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.19
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.19
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.19
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.19
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.19
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.19
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.19
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.19
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.19
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.19
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.19
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.38/127.19
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.38/127.19
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.38/127.19
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.38/127.19
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.38/127.19
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.38/127.19
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.38/127.19
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.38/127.19
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.38/127.20
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.38/127.20
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.38/127.20
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.20
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.38/127.20
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.20
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.38/127.20
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.38/127.20
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.38/127.20
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.20
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.38/127.20
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.20
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.38/127.20
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.38/127.20
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.20
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.38/127.20
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.20
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.20
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.38/127.20
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.38/127.20
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.38/127.20
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.38/127.20
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.38/127.20
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.38/127.20
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.38/127.20
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.38/127.20
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.38/127.20
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.38/127.20
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.38/127.20
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.38/127.20
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.38/127.20
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.38/127.20
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.38/127.20
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.38/127.20
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.38/127.20
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.38/127.20
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.38/127.20
PROPER(dbl(01)) → c45(DBL(ok(01)))
419.38/127.20
PROPER(s(dbl(z0))) → c47(S(dbl(proper(z0))), PROPER(dbl(z0)))
419.38/127.20
PROPER(s(s(z0))) → c47(S(s(proper(z0))), PROPER(s(z0)))
419.38/127.20
PROPER(s(dbls(z0))) → c47(S(dbls(proper(z0))), PROPER(dbls(z0)))
419.38/127.20
PROPER(s(cons(z0, z1))) → c47(S(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.38/127.20
PROPER(s(sel(z0, z1))) → c47(S(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.38/127.20
PROPER(s(indx(z0, z1))) → c47(S(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.38/127.20
PROPER(s(from(z0))) → c47(S(from(proper(z0))), PROPER(from(z0)))
419.38/127.20
PROPER(s(dbl1(z0))) → c47(S(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.38/127.20
PROPER(s(s1(z0))) → c47(S(s1(proper(z0))), PROPER(s1(z0)))
419.38/127.20
PROPER(s(sel1(z0, z1))) → c47(S(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.38/127.20
PROPER(s(quote(z0))) → c47(S(quote(proper(z0))), PROPER(quote(z0)))
419.38/127.20
PROPER(s(0)) → c47(S(ok(0)))
419.38/127.20
PROPER(s(nil)) → c47(S(ok(nil)))
419.38/127.20
PROPER(s(01)) → c47(S(ok(01)))
419.38/127.20
PROPER(dbls(dbl(z0))) → c48(DBLS(dbl(proper(z0))), PROPER(dbl(z0)))
419.38/127.20
PROPER(dbls(s(z0))) → c48(DBLS(s(proper(z0))), PROPER(s(z0)))
419.38/127.20
PROPER(dbls(dbls(z0))) → c48(DBLS(dbls(proper(z0))), PROPER(dbls(z0)))
419.38/127.20
PROPER(dbls(cons(z0, z1))) → c48(DBLS(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.38/127.20
PROPER(dbls(sel(z0, z1))) → c48(DBLS(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.38/127.20
PROPER(dbls(indx(z0, z1))) → c48(DBLS(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.38/127.20
PROPER(dbls(from(z0))) → c48(DBLS(from(proper(z0))), PROPER(from(z0)))
419.38/127.20
PROPER(dbls(dbl1(z0))) → c48(DBLS(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.38/127.20
PROPER(dbls(s1(z0))) → c48(DBLS(s1(proper(z0))), PROPER(s1(z0)))
419.38/127.20
PROPER(dbls(sel1(z0, z1))) → c48(DBLS(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.38/127.20
PROPER(dbls(quote(z0))) → c48(DBLS(quote(proper(z0))), PROPER(quote(z0)))
419.38/127.20
PROPER(dbls(0)) → c48(DBLS(ok(0)))
419.38/127.20
PROPER(dbls(nil)) → c48(DBLS(ok(nil)))
419.38/127.20
PROPER(dbls(01)) → c48(DBLS(ok(01)))
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
ACTIVE, DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, PROPER, S, CONS, FROM, TOP
Compound Symbols:
c5, c12, c15, c16, c19, c20, c24, c25, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c50, c51, c52, c53, c54, c56, c57, c58, c59, c60, c61, c62, c63, c8, c, c17, c17, c1, c18, c18, c2, c21, c21, c3, c22, c22, c4, c23, c23, c6, c26, c26, c7, c45, c45, c47, c47, c48, c48
419.38/127.20
419.38/127.20
(55) CdtNarrowingProof (BOTH BOUNDS(ID, ID) transformation)
Use narrowing to replace
PROPER(
cons(
z0,
z1)) →
c50(
CONS(
proper(
z0),
proper(
z1)),
PROPER(
z0),
PROPER(
z1)) by
PROPER(cons(x0, dbl(z0))) → c50(CONS(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.38/127.20
PROPER(cons(x0, 0)) → c50(CONS(proper(x0), ok(0)), PROPER(x0), PROPER(0))
419.38/127.20
PROPER(cons(x0, s(z0))) → c50(CONS(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.38/127.20
PROPER(cons(x0, dbls(z0))) → c50(CONS(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.38/127.20
PROPER(cons(x0, nil)) → c50(CONS(proper(x0), ok(nil)), PROPER(x0), PROPER(nil))
419.38/127.20
PROPER(cons(x0, cons(z0, z1))) → c50(CONS(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.38/127.20
PROPER(cons(x0, sel(z0, z1))) → c50(CONS(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.38/127.20
PROPER(cons(x0, indx(z0, z1))) → c50(CONS(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.38/127.20
PROPER(cons(x0, from(z0))) → c50(CONS(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.38/127.20
PROPER(cons(x0, dbl1(z0))) → c50(CONS(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.38/127.20
PROPER(cons(x0, 01)) → c50(CONS(proper(x0), ok(01)), PROPER(x0), PROPER(01))
419.38/127.20
PROPER(cons(x0, s1(z0))) → c50(CONS(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.38/127.20
PROPER(cons(x0, sel1(z0, z1))) → c50(CONS(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.38/127.20
PROPER(cons(x0, quote(z0))) → c50(CONS(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.38/127.20
PROPER(cons(dbl(z0), x1)) → c50(CONS(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.38/127.20
PROPER(cons(0, x1)) → c50(CONS(ok(0), proper(x1)), PROPER(0), PROPER(x1))
419.38/127.20
PROPER(cons(s(z0), x1)) → c50(CONS(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.38/127.20
PROPER(cons(dbls(z0), x1)) → c50(CONS(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.38/127.20
PROPER(cons(nil, x1)) → c50(CONS(ok(nil), proper(x1)), PROPER(nil), PROPER(x1))
419.38/127.20
PROPER(cons(cons(z0, z1), x1)) → c50(CONS(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.38/127.20
PROPER(cons(sel(z0, z1), x1)) → c50(CONS(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.38/127.20
PROPER(cons(indx(z0, z1), x1)) → c50(CONS(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.38/127.20
PROPER(cons(from(z0), x1)) → c50(CONS(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.38/127.20
PROPER(cons(dbl1(z0), x1)) → c50(CONS(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.38/127.20
PROPER(cons(01, x1)) → c50(CONS(ok(01), proper(x1)), PROPER(01), PROPER(x1))
419.38/127.20
PROPER(cons(s1(z0), x1)) → c50(CONS(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.38/127.20
PROPER(cons(sel1(z0, z1), x1)) → c50(CONS(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.38/127.20
PROPER(cons(quote(z0), x1)) → c50(CONS(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.38/127.20
419.38/127.20
(56) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
419.38/127.20
active(dbl(s(z0))) → mark(s(s(dbl(z0))))
419.38/127.20
active(dbls(nil)) → mark(nil)
419.38/127.20
active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
419.38/127.20
active(sel(0, cons(z0, z1))) → mark(z0)
419.38/127.20
active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
419.38/127.20
active(indx(nil, z0)) → mark(nil)
419.38/127.20
active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
419.38/127.20
active(from(z0)) → mark(cons(z0, from(s(z0))))
419.38/127.20
active(dbl1(0)) → mark(01)
419.38/127.20
active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
419.38/127.20
active(sel1(0, cons(z0, z1))) → mark(z0)
419.38/127.20
active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
419.38/127.20
active(quote(0)) → mark(01)
419.38/127.20
active(quote(s(z0))) → mark(s1(quote(z0)))
419.38/127.20
active(quote(dbl(z0))) → mark(dbl1(z0))
419.38/127.20
active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
419.38/127.20
active(dbl(z0)) → dbl(active(z0))
419.38/127.20
active(dbls(z0)) → dbls(active(z0))
419.38/127.20
active(sel(z0, z1)) → sel(active(z0), z1)
419.38/127.20
active(sel(z0, z1)) → sel(z0, active(z1))
419.38/127.20
active(indx(z0, z1)) → indx(active(z0), z1)
419.38/127.20
active(dbl1(z0)) → dbl1(active(z0))
419.38/127.20
active(s1(z0)) → s1(active(z0))
419.38/127.20
active(sel1(z0, z1)) → sel1(active(z0), z1)
419.38/127.20
active(sel1(z0, z1)) → sel1(z0, active(z1))
419.38/127.20
active(quote(z0)) → quote(active(z0))
419.38/127.20
dbl(mark(z0)) → mark(dbl(z0))
419.38/127.20
dbl(ok(z0)) → ok(dbl(z0))
419.38/127.20
dbls(mark(z0)) → mark(dbls(z0))
419.38/127.20
dbls(ok(z0)) → ok(dbls(z0))
419.38/127.20
sel(mark(z0), z1) → mark(sel(z0, z1))
419.38/127.20
sel(z0, mark(z1)) → mark(sel(z0, z1))
419.38/127.20
sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
419.38/127.20
indx(mark(z0), z1) → mark(indx(z0, z1))
419.38/127.20
indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
419.38/127.20
dbl1(mark(z0)) → mark(dbl1(z0))
419.38/127.20
dbl1(ok(z0)) → ok(dbl1(z0))
419.38/127.20
s1(mark(z0)) → mark(s1(z0))
419.38/127.20
s1(ok(z0)) → ok(s1(z0))
419.38/127.20
sel1(mark(z0), z1) → mark(sel1(z0, z1))
419.38/127.20
sel1(z0, mark(z1)) → mark(sel1(z0, z1))
419.38/127.20
sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
419.38/127.20
quote(mark(z0)) → mark(quote(z0))
419.38/127.20
quote(ok(z0)) → ok(quote(z0))
419.38/127.20
proper(dbl(z0)) → dbl(proper(z0))
419.38/127.20
proper(0) → ok(0)
419.38/127.20
proper(s(z0)) → s(proper(z0))
419.38/127.20
proper(dbls(z0)) → dbls(proper(z0))
419.38/127.20
proper(nil) → ok(nil)
419.38/127.20
proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
419.38/127.20
proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
419.38/127.20
proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
419.38/127.20
proper(from(z0)) → from(proper(z0))
419.38/127.20
proper(dbl1(z0)) → dbl1(proper(z0))
419.38/127.20
proper(01) → ok(01)
419.38/127.20
proper(s1(z0)) → s1(proper(z0))
419.38/127.20
proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
419.38/127.20
proper(quote(z0)) → quote(proper(z0))
419.38/127.20
s(ok(z0)) → ok(s(z0))
419.38/127.20
cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
419.38/127.20
from(ok(z0)) → ok(from(z0))
419.38/127.20
top(mark(z0)) → top(proper(z0))
419.38/127.20
top(ok(z0)) → top(active(z0))
Tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.38/127.20
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.38/127.20
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.38/127.20
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.38/127.20
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.38/127.20
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.38/127.20
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.38/127.20
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.38/127.20
DBL(mark(z0)) → c27(DBL(z0))
419.38/127.20
DBL(ok(z0)) → c28(DBL(z0))
419.38/127.20
DBLS(mark(z0)) → c29(DBLS(z0))
419.38/127.20
DBLS(ok(z0)) → c30(DBLS(z0))
419.38/127.20
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.38/127.20
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.38/127.20
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.38/127.20
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.38/127.20
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.38/127.20
DBL1(mark(z0)) → c36(DBL1(z0))
419.38/127.20
DBL1(ok(z0)) → c37(DBL1(z0))
419.38/127.20
S1(mark(z0)) → c38(S1(z0))
419.38/127.20
S1(ok(z0)) → c39(S1(z0))
419.38/127.20
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.38/127.20
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.38/127.20
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.38/127.20
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.38/127.20
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.38/127.20
PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.20
PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.20
PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
419.38/127.20
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
419.38/127.20
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
419.38/127.20
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.38/127.20
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
419.38/127.20
S(ok(z0)) → c59(S(z0))
419.38/127.20
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.38/127.20
FROM(ok(z0)) → c61(FROM(z0))
419.38/127.20
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
419.38/127.20
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.38/127.20
ACTIVE(from(z0)) → c8(S(z0))
419.38/127.20
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.38/127.20
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.38/127.20
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.38/127.20
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.38/127.20
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.38/127.20
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.38/127.20
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.38/127.20
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.38/127.20
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.38/127.20
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.38/127.20
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.38/127.20
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.38/127.20
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.38/127.20
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.38/127.20
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.20
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.20
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.20
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.20
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.20
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.20
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.20
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.20
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.20
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.20
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.20
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.20
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.20
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.20
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.20
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.20
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.38/127.20
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.38/127.20
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.38/127.20
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.38/127.20
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.38/127.20
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.20
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.20
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.20
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.20
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.20
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.20
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.20
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.20
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.20
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.20
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.20
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.20
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.20
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.20
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.20
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.20
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.38/127.20
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.38/127.20
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.38/127.20
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.20
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.38/127.20
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.38/127.20
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.38/127.20
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.20
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.38/127.20
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.38/127.20
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.38/127.20
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.20
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.20
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.20
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.20
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.38/127.20
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.38/127.20
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.38/127.20
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.38/127.20
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.38/127.20
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.38/127.20
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.38/127.20
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.38/127.20
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.38/127.20
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.38/127.20
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.38/127.20
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.38/127.20
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.38/127.20
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.38/127.20
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.38/127.20
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.38/127.20
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.38/127.20
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.20
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.20
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.20
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.20
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.38/127.20
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.38/127.20
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.38/127.20
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.38/127.20
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.38/127.20
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.20
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.38/127.20
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.38/127.20
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.20
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.20
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.20
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.20
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.20
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.20
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.20
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.20
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.20
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.20
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.20
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.20
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.20
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.20
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.20
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.20
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.38/127.20
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.38/127.20
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.38/127.20
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.38/127.20
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.38/127.20
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.38/127.20
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.38/127.20
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.38/127.20
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.20
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.38/127.20
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.20
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.38/127.20
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.20
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.38/127.20
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.38/127.20
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.20
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.38/127.20
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.20
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.20
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.38/127.20
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.38/127.20
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.38/127.20
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.38/127.20
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.38/127.20
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.38/127.20
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.38/127.20
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.38/127.20
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.38/127.20
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.38/127.20
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.38/127.20
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.38/127.20
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.38/127.20
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.38/127.20
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.38/127.20
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.38/127.20
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.38/127.20
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.38/127.20
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.38/127.20
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.38/127.20
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.38/127.20
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.38/127.20
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.38/127.20
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.38/127.20
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.38/127.20
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.38/127.20
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.38/127.20
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.38/127.20
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.38/127.20
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.38/127.20
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.38/127.20
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.73/127.20
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.73/127.20
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.73/127.20
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.20
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.20
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.20
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.20
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.20
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.20
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.20
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.20
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.20
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.20
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.20
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.20
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.20
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.20
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.20
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.20
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.73/127.20
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.73/127.20
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.20
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.73/127.20
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.73/127.20
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.73/127.20
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.73/127.20
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.73/127.20
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.73/127.20
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.73/127.20
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.73/127.20
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.20
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.73/127.20
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.20
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.73/127.20
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.73/127.20
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.73/127.20
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.20
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.73/127.20
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.20
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.73/127.20
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.73/127.20
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.20
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.73/127.20
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.20
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.20
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.73/127.20
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.73/127.20
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.73/127.20
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.73/127.20
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.73/127.20
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.20
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.20
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.73/127.20
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.20
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.20
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.20
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.20
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.73/127.20
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.20
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.20
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.20
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.20
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.73/127.20
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.73/127.20
PROPER(dbl(01)) → c45(DBL(ok(01)))
419.73/127.20
PROPER(s(dbl(z0))) → c47(S(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.20
PROPER(s(s(z0))) → c47(S(s(proper(z0))), PROPER(s(z0)))
419.73/127.20
PROPER(s(dbls(z0))) → c47(S(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.20
PROPER(s(cons(z0, z1))) → c47(S(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.20
PROPER(s(sel(z0, z1))) → c47(S(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.20
PROPER(s(indx(z0, z1))) → c47(S(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.20
PROPER(s(from(z0))) → c47(S(from(proper(z0))), PROPER(from(z0)))
419.73/127.20
PROPER(s(dbl1(z0))) → c47(S(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.20
PROPER(s(s1(z0))) → c47(S(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.20
PROPER(s(sel1(z0, z1))) → c47(S(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.20
PROPER(s(quote(z0))) → c47(S(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.20
PROPER(s(0)) → c47(S(ok(0)))
419.73/127.20
PROPER(s(nil)) → c47(S(ok(nil)))
419.73/127.20
PROPER(s(01)) → c47(S(ok(01)))
419.73/127.20
PROPER(dbls(dbl(z0))) → c48(DBLS(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.20
PROPER(dbls(s(z0))) → c48(DBLS(s(proper(z0))), PROPER(s(z0)))
419.73/127.20
PROPER(dbls(dbls(z0))) → c48(DBLS(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.20
PROPER(dbls(cons(z0, z1))) → c48(DBLS(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.20
PROPER(dbls(sel(z0, z1))) → c48(DBLS(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.20
PROPER(dbls(indx(z0, z1))) → c48(DBLS(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.20
PROPER(dbls(from(z0))) → c48(DBLS(from(proper(z0))), PROPER(from(z0)))
419.73/127.20
PROPER(dbls(dbl1(z0))) → c48(DBLS(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.20
PROPER(dbls(s1(z0))) → c48(DBLS(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.20
PROPER(dbls(sel1(z0, z1))) → c48(DBLS(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.20
PROPER(dbls(quote(z0))) → c48(DBLS(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.20
PROPER(dbls(0)) → c48(DBLS(ok(0)))
419.73/127.20
PROPER(dbls(nil)) → c48(DBLS(ok(nil)))
419.73/127.20
PROPER(dbls(01)) → c48(DBLS(ok(01)))
419.73/127.20
PROPER(cons(x0, dbl(z0))) → c50(CONS(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.20
PROPER(cons(x0, 0)) → c50(CONS(proper(x0), ok(0)), PROPER(x0), PROPER(0))
419.73/127.20
PROPER(cons(x0, s(z0))) → c50(CONS(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.20
PROPER(cons(x0, dbls(z0))) → c50(CONS(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.20
PROPER(cons(x0, nil)) → c50(CONS(proper(x0), ok(nil)), PROPER(x0), PROPER(nil))
419.73/127.20
PROPER(cons(x0, cons(z0, z1))) → c50(CONS(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.20
PROPER(cons(x0, sel(z0, z1))) → c50(CONS(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.20
PROPER(cons(x0, indx(z0, z1))) → c50(CONS(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.20
PROPER(cons(x0, from(z0))) → c50(CONS(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.20
PROPER(cons(x0, dbl1(z0))) → c50(CONS(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.20
PROPER(cons(x0, 01)) → c50(CONS(proper(x0), ok(01)), PROPER(x0), PROPER(01))
419.73/127.20
PROPER(cons(x0, s1(z0))) → c50(CONS(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.20
PROPER(cons(x0, sel1(z0, z1))) → c50(CONS(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.20
PROPER(cons(x0, quote(z0))) → c50(CONS(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.20
PROPER(cons(dbl(z0), x1)) → c50(CONS(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.20
PROPER(cons(0, x1)) → c50(CONS(ok(0), proper(x1)), PROPER(0), PROPER(x1))
419.73/127.20
PROPER(cons(s(z0), x1)) → c50(CONS(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.20
PROPER(cons(dbls(z0), x1)) → c50(CONS(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.20
PROPER(cons(nil, x1)) → c50(CONS(ok(nil), proper(x1)), PROPER(nil), PROPER(x1))
419.73/127.20
PROPER(cons(cons(z0, z1), x1)) → c50(CONS(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.20
PROPER(cons(sel(z0, z1), x1)) → c50(CONS(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.20
PROPER(cons(indx(z0, z1), x1)) → c50(CONS(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.20
PROPER(cons(from(z0), x1)) → c50(CONS(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.20
PROPER(cons(dbl1(z0), x1)) → c50(CONS(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.20
PROPER(cons(01, x1)) → c50(CONS(ok(01), proper(x1)), PROPER(01), PROPER(x1))
419.73/127.20
PROPER(cons(s1(z0), x1)) → c50(CONS(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.20
PROPER(cons(sel1(z0, z1), x1)) → c50(CONS(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.20
PROPER(cons(quote(z0), x1)) → c50(CONS(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
S tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.73/127.20
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.73/127.20
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.73/127.20
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.73/127.20
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.73/127.20
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.73/127.20
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.73/127.20
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.73/127.20
DBL(mark(z0)) → c27(DBL(z0))
419.73/127.20
DBL(ok(z0)) → c28(DBL(z0))
419.73/127.20
DBLS(mark(z0)) → c29(DBLS(z0))
419.73/127.20
DBLS(ok(z0)) → c30(DBLS(z0))
419.73/127.20
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.73/127.20
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.73/127.20
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.73/127.20
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.73/127.20
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.73/127.20
DBL1(mark(z0)) → c36(DBL1(z0))
419.73/127.20
DBL1(ok(z0)) → c37(DBL1(z0))
419.73/127.20
S1(mark(z0)) → c38(S1(z0))
419.73/127.20
S1(ok(z0)) → c39(S1(z0))
419.73/127.20
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.73/127.20
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.73/127.20
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.73/127.20
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.73/127.20
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.73/127.20
PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.73/127.20
PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.73/127.20
PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
419.73/127.20
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
419.73/127.20
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
419.73/127.20
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.73/127.20
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
419.73/127.20
S(ok(z0)) → c59(S(z0))
419.73/127.20
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.73/127.20
FROM(ok(z0)) → c61(FROM(z0))
419.73/127.20
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
419.73/127.20
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.73/127.20
ACTIVE(from(z0)) → c8(S(z0))
419.73/127.20
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.73/127.20
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.73/127.20
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.73/127.20
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.73/127.20
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.73/127.20
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.73/127.20
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.73/127.20
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.73/127.20
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.73/127.20
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.73/127.20
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.73/127.20
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.73/127.20
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.73/127.20
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.73/127.20
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.20
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.20
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.20
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.20
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.20
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.20
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.20
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.20
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.20
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.20
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.20
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.20
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.20
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.20
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.20
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.20
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.73/127.20
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.73/127.20
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.73/127.20
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.73/127.20
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.73/127.20
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.20
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.20
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.20
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.20
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.20
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.20
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.20
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.20
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.20
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.20
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.20
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.20
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.20
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.20
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.20
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.20
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.73/127.20
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.73/127.20
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.73/127.20
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.20
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.20
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.73/127.20
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.73/127.20
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.20
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.20
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.73/127.20
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.73/127.20
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.20
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.20
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.20
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.20
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.73/127.20
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.73/127.20
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.73/127.20
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.73/127.20
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.73/127.20
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.73/127.20
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.73/127.20
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.73/127.20
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.73/127.20
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.73/127.20
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.73/127.20
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.73/127.20
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.73/127.20
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.73/127.20
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.73/127.20
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.73/127.20
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.73/127.20
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.20
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.20
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.20
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.20
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.73/127.20
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.73/127.20
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.73/127.20
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.73/127.20
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.73/127.20
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.20
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.73/127.20
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.73/127.20
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.20
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.20
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.20
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.20
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.20
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.20
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.20
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.20
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.20
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.20
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.20
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.20
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.20
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.20
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.20
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.20
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.73/127.20
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.73/127.20
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.20
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.73/127.20
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.73/127.20
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.73/127.20
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.73/127.20
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.73/127.20
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.20
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.73/127.20
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.20
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.73/127.20
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.20
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.73/127.20
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.73/127.20
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.20
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.73/127.20
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.20
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.20
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.73/127.20
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.73/127.20
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.73/127.20
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.20
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.20
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.20
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.20
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.20
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.20
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.20
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.20
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.20
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.20
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.20
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.20
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.20
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.20
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.20
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.20
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.20
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.73/127.20
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.73/127.20
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.73/127.20
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.73/127.20
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.73/127.20
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.73/127.20
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.20
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.73/127.20
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.20
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.20
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.73/127.20
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.73/127.20
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.73/127.20
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.73/127.20
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.20
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.20
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.20
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.20
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.20
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.20
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.20
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.20
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.20
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.20
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.20
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.20
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.20
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.20
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.20
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.20
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.73/127.20
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.73/127.20
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.20
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.73/127.20
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.73/127.20
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.73/127.20
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.73/127.20
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.73/127.20
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.73/127.20
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.73/127.20
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.73/127.20
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.20
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.73/127.20
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.20
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.73/127.20
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.73/127.20
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.73/127.20
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.20
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.73/127.20
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.20
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.73/127.20
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.73/127.20
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.20
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.73/127.20
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.20
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.20
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.73/127.20
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.73/127.20
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.73/127.20
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.73/127.20
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.73/127.20
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.20
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.20
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.73/127.20
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.20
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.20
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.20
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.20
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.73/127.20
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.20
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.20
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.20
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.20
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.73/127.20
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.73/127.20
PROPER(dbl(01)) → c45(DBL(ok(01)))
419.73/127.20
PROPER(s(dbl(z0))) → c47(S(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.20
PROPER(s(s(z0))) → c47(S(s(proper(z0))), PROPER(s(z0)))
419.73/127.20
PROPER(s(dbls(z0))) → c47(S(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.20
PROPER(s(cons(z0, z1))) → c47(S(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.20
PROPER(s(sel(z0, z1))) → c47(S(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.20
PROPER(s(indx(z0, z1))) → c47(S(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.20
PROPER(s(from(z0))) → c47(S(from(proper(z0))), PROPER(from(z0)))
419.73/127.20
PROPER(s(dbl1(z0))) → c47(S(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.20
PROPER(s(s1(z0))) → c47(S(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.20
PROPER(s(sel1(z0, z1))) → c47(S(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.20
PROPER(s(quote(z0))) → c47(S(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.20
PROPER(s(0)) → c47(S(ok(0)))
419.73/127.20
PROPER(s(nil)) → c47(S(ok(nil)))
419.73/127.20
PROPER(s(01)) → c47(S(ok(01)))
419.73/127.20
PROPER(dbls(dbl(z0))) → c48(DBLS(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.20
PROPER(dbls(s(z0))) → c48(DBLS(s(proper(z0))), PROPER(s(z0)))
419.73/127.20
PROPER(dbls(dbls(z0))) → c48(DBLS(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.20
PROPER(dbls(cons(z0, z1))) → c48(DBLS(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.20
PROPER(dbls(sel(z0, z1))) → c48(DBLS(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.20
PROPER(dbls(indx(z0, z1))) → c48(DBLS(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.20
PROPER(dbls(from(z0))) → c48(DBLS(from(proper(z0))), PROPER(from(z0)))
419.73/127.20
PROPER(dbls(dbl1(z0))) → c48(DBLS(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.20
PROPER(dbls(s1(z0))) → c48(DBLS(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.20
PROPER(dbls(sel1(z0, z1))) → c48(DBLS(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.20
PROPER(dbls(quote(z0))) → c48(DBLS(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.20
PROPER(dbls(0)) → c48(DBLS(ok(0)))
419.73/127.20
PROPER(dbls(nil)) → c48(DBLS(ok(nil)))
419.73/127.20
PROPER(dbls(01)) → c48(DBLS(ok(01)))
419.73/127.20
PROPER(cons(x0, dbl(z0))) → c50(CONS(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.20
PROPER(cons(x0, 0)) → c50(CONS(proper(x0), ok(0)), PROPER(x0), PROPER(0))
419.73/127.20
PROPER(cons(x0, s(z0))) → c50(CONS(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.20
PROPER(cons(x0, dbls(z0))) → c50(CONS(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.20
PROPER(cons(x0, nil)) → c50(CONS(proper(x0), ok(nil)), PROPER(x0), PROPER(nil))
419.73/127.20
PROPER(cons(x0, cons(z0, z1))) → c50(CONS(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.20
PROPER(cons(x0, sel(z0, z1))) → c50(CONS(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.20
PROPER(cons(x0, indx(z0, z1))) → c50(CONS(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.20
PROPER(cons(x0, from(z0))) → c50(CONS(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.20
PROPER(cons(x0, dbl1(z0))) → c50(CONS(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.20
PROPER(cons(x0, 01)) → c50(CONS(proper(x0), ok(01)), PROPER(x0), PROPER(01))
419.73/127.20
PROPER(cons(x0, s1(z0))) → c50(CONS(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.20
PROPER(cons(x0, sel1(z0, z1))) → c50(CONS(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.20
PROPER(cons(x0, quote(z0))) → c50(CONS(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.20
PROPER(cons(dbl(z0), x1)) → c50(CONS(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.21
PROPER(cons(0, x1)) → c50(CONS(ok(0), proper(x1)), PROPER(0), PROPER(x1))
419.73/127.21
PROPER(cons(s(z0), x1)) → c50(CONS(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.21
PROPER(cons(dbls(z0), x1)) → c50(CONS(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.21
PROPER(cons(nil, x1)) → c50(CONS(ok(nil), proper(x1)), PROPER(nil), PROPER(x1))
419.73/127.21
PROPER(cons(cons(z0, z1), x1)) → c50(CONS(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.21
PROPER(cons(sel(z0, z1), x1)) → c50(CONS(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.21
PROPER(cons(indx(z0, z1), x1)) → c50(CONS(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.21
PROPER(cons(from(z0), x1)) → c50(CONS(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.21
PROPER(cons(dbl1(z0), x1)) → c50(CONS(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.21
PROPER(cons(01, x1)) → c50(CONS(ok(01), proper(x1)), PROPER(01), PROPER(x1))
419.73/127.21
PROPER(cons(s1(z0), x1)) → c50(CONS(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.21
PROPER(cons(sel1(z0, z1), x1)) → c50(CONS(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.21
PROPER(cons(quote(z0), x1)) → c50(CONS(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
ACTIVE, DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, PROPER, S, CONS, FROM, TOP
Compound Symbols:
c5, c12, c15, c16, c19, c20, c24, c25, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c51, c52, c53, c54, c56, c57, c58, c59, c60, c61, c62, c63, c8, c, c17, c17, c1, c18, c18, c2, c21, c21, c3, c22, c22, c4, c23, c23, c6, c26, c26, c7, c45, c45, c47, c47, c48, c48, c50
419.73/127.21
419.73/127.21
(57) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID) transformation)
Removed 6 trailing tuple parts
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419.73/127.21
(58) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
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active(dbl(s(z0))) → mark(s(s(dbl(z0))))
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active(dbls(nil)) → mark(nil)
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active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
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active(sel(0, cons(z0, z1))) → mark(z0)
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active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
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active(indx(nil, z0)) → mark(nil)
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active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
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active(from(z0)) → mark(cons(z0, from(s(z0))))
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active(dbl1(0)) → mark(01)
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active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
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active(sel1(0, cons(z0, z1))) → mark(z0)
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active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
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active(quote(0)) → mark(01)
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active(quote(s(z0))) → mark(s1(quote(z0)))
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active(quote(dbl(z0))) → mark(dbl1(z0))
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active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
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active(dbl(z0)) → dbl(active(z0))
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active(dbls(z0)) → dbls(active(z0))
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active(sel(z0, z1)) → sel(active(z0), z1)
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active(sel(z0, z1)) → sel(z0, active(z1))
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active(indx(z0, z1)) → indx(active(z0), z1)
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active(dbl1(z0)) → dbl1(active(z0))
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active(s1(z0)) → s1(active(z0))
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active(sel1(z0, z1)) → sel1(active(z0), z1)
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active(sel1(z0, z1)) → sel1(z0, active(z1))
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active(quote(z0)) → quote(active(z0))
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dbl(mark(z0)) → mark(dbl(z0))
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dbl(ok(z0)) → ok(dbl(z0))
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dbls(mark(z0)) → mark(dbls(z0))
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dbls(ok(z0)) → ok(dbls(z0))
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sel(mark(z0), z1) → mark(sel(z0, z1))
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sel(z0, mark(z1)) → mark(sel(z0, z1))
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sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
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indx(mark(z0), z1) → mark(indx(z0, z1))
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indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
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dbl1(mark(z0)) → mark(dbl1(z0))
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dbl1(ok(z0)) → ok(dbl1(z0))
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s1(mark(z0)) → mark(s1(z0))
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s1(ok(z0)) → ok(s1(z0))
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sel1(mark(z0), z1) → mark(sel1(z0, z1))
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sel1(z0, mark(z1)) → mark(sel1(z0, z1))
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sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
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quote(mark(z0)) → mark(quote(z0))
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quote(ok(z0)) → ok(quote(z0))
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proper(dbl(z0)) → dbl(proper(z0))
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proper(0) → ok(0)
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proper(s(z0)) → s(proper(z0))
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proper(dbls(z0)) → dbls(proper(z0))
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proper(nil) → ok(nil)
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proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
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proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
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proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
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proper(from(z0)) → from(proper(z0))
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proper(dbl1(z0)) → dbl1(proper(z0))
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proper(01) → ok(01)
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proper(s1(z0)) → s1(proper(z0))
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proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
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proper(quote(z0)) → quote(proper(z0))
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s(ok(z0)) → ok(s(z0))
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cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
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from(ok(z0)) → ok(from(z0))
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top(mark(z0)) → top(proper(z0))
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top(ok(z0)) → top(active(z0))
Tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
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ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
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ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
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ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
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ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
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ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
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ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
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DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
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PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
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PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
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PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
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PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
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TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
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TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
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ACTIVE(from(z0)) → c8(S(z0))
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ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
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ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
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ACTIVE(dbl(s(z0))) → c(DBL(z0))
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ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
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ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
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ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
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ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
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ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
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ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
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ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
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ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
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ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
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ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
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ACTIVE(quote(s(z0))) → c(QUOTE(z0))
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ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
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ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
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ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
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ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
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ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
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ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
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ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
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ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
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ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
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ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
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ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
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ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
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ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
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ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
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ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
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ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
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ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
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ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
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ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
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ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
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ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
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ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
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ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
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ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
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ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
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ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
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ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
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ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
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ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
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ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
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ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
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ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
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ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
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ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
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ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
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ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
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ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
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ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
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ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
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ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
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ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
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ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
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ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
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ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
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ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
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ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
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ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
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ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
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ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
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ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
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ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
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ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
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ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
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ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
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ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
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ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
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ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
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ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
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ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
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ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
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ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
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ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
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ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
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ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
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ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
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ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
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ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
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ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
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ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
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ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
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ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.73/127.21
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.73/127.21
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.73/127.21
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.73/127.21
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.73/127.21
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.21
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.73/127.21
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.73/127.21
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.21
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.21
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.21
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.21
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.21
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.21
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.21
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.21
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.21
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.21
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.21
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.21
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.21
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.21
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.21
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.21
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.73/127.21
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.73/127.21
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.21
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.73/127.21
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.73/127.21
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.73/127.21
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.73/127.21
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.73/127.21
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.21
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.73/127.21
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.21
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.73/127.21
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.21
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.73/127.21
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.73/127.21
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.21
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.73/127.21
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.21
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.21
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.73/127.21
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.73/127.21
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.73/127.21
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.21
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.21
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.21
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.21
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.21
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.21
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.21
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.21
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.21
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.21
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.21
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.21
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.21
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.21
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.21
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.21
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.21
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.73/127.21
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.73/127.21
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.73/127.21
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.73/127.21
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.73/127.21
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.73/127.21
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.21
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.73/127.21
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.21
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.21
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.73/127.21
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.73/127.21
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.73/127.21
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.73/127.21
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.21
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.21
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.21
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.21
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.21
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.21
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.21
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.21
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.21
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.21
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.21
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.21
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.21
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.21
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.21
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.21
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.73/127.21
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.73/127.21
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.21
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.73/127.21
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.73/127.21
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.73/127.21
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.73/127.21
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.73/127.21
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.73/127.21
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.73/127.21
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.73/127.21
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.21
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.73/127.21
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.21
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.73/127.21
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.73/127.21
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.73/127.21
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.21
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.73/127.21
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.21
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.73/127.21
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.73/127.21
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.21
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.73/127.21
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.21
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.21
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.73/127.21
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.73/127.21
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.73/127.21
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.73/127.21
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.73/127.21
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.21
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.21
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.73/127.21
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.21
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.21
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.21
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.21
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.73/127.21
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.21
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.21
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.21
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.21
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.73/127.21
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.73/127.21
PROPER(dbl(01)) → c45(DBL(ok(01)))
419.73/127.21
PROPER(s(dbl(z0))) → c47(S(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.21
PROPER(s(s(z0))) → c47(S(s(proper(z0))), PROPER(s(z0)))
419.73/127.21
PROPER(s(dbls(z0))) → c47(S(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.21
PROPER(s(cons(z0, z1))) → c47(S(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.21
PROPER(s(sel(z0, z1))) → c47(S(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.21
PROPER(s(indx(z0, z1))) → c47(S(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.21
PROPER(s(from(z0))) → c47(S(from(proper(z0))), PROPER(from(z0)))
419.73/127.21
PROPER(s(dbl1(z0))) → c47(S(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.21
PROPER(s(s1(z0))) → c47(S(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.21
PROPER(s(sel1(z0, z1))) → c47(S(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.21
PROPER(s(quote(z0))) → c47(S(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.21
PROPER(s(0)) → c47(S(ok(0)))
419.73/127.21
PROPER(s(nil)) → c47(S(ok(nil)))
419.73/127.21
PROPER(s(01)) → c47(S(ok(01)))
419.73/127.21
PROPER(dbls(dbl(z0))) → c48(DBLS(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.21
PROPER(dbls(s(z0))) → c48(DBLS(s(proper(z0))), PROPER(s(z0)))
419.73/127.21
PROPER(dbls(dbls(z0))) → c48(DBLS(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.21
PROPER(dbls(cons(z0, z1))) → c48(DBLS(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.21
PROPER(dbls(sel(z0, z1))) → c48(DBLS(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.21
PROPER(dbls(indx(z0, z1))) → c48(DBLS(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.21
PROPER(dbls(from(z0))) → c48(DBLS(from(proper(z0))), PROPER(from(z0)))
419.73/127.21
PROPER(dbls(dbl1(z0))) → c48(DBLS(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.21
PROPER(dbls(s1(z0))) → c48(DBLS(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.21
PROPER(dbls(sel1(z0, z1))) → c48(DBLS(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.21
PROPER(dbls(quote(z0))) → c48(DBLS(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.21
PROPER(dbls(0)) → c48(DBLS(ok(0)))
419.73/127.21
PROPER(dbls(nil)) → c48(DBLS(ok(nil)))
419.73/127.21
PROPER(dbls(01)) → c48(DBLS(ok(01)))
419.73/127.21
PROPER(cons(x0, dbl(z0))) → c50(CONS(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.21
PROPER(cons(x0, s(z0))) → c50(CONS(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.21
PROPER(cons(x0, dbls(z0))) → c50(CONS(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.21
PROPER(cons(x0, cons(z0, z1))) → c50(CONS(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.21
PROPER(cons(x0, sel(z0, z1))) → c50(CONS(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.21
PROPER(cons(x0, indx(z0, z1))) → c50(CONS(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.21
PROPER(cons(x0, from(z0))) → c50(CONS(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.21
PROPER(cons(x0, dbl1(z0))) → c50(CONS(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.21
PROPER(cons(x0, s1(z0))) → c50(CONS(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.21
PROPER(cons(x0, sel1(z0, z1))) → c50(CONS(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.21
PROPER(cons(x0, quote(z0))) → c50(CONS(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.21
PROPER(cons(dbl(z0), x1)) → c50(CONS(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.21
PROPER(cons(s(z0), x1)) → c50(CONS(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.21
PROPER(cons(dbls(z0), x1)) → c50(CONS(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.21
PROPER(cons(cons(z0, z1), x1)) → c50(CONS(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.21
PROPER(cons(sel(z0, z1), x1)) → c50(CONS(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.21
PROPER(cons(indx(z0, z1), x1)) → c50(CONS(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.21
PROPER(cons(from(z0), x1)) → c50(CONS(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.21
PROPER(cons(dbl1(z0), x1)) → c50(CONS(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.21
PROPER(cons(s1(z0), x1)) → c50(CONS(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.21
PROPER(cons(sel1(z0, z1), x1)) → c50(CONS(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.21
PROPER(cons(quote(z0), x1)) → c50(CONS(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.21
PROPER(cons(x0, 0)) → c50(CONS(proper(x0), ok(0)), PROPER(x0))
419.73/127.21
PROPER(cons(x0, nil)) → c50(CONS(proper(x0), ok(nil)), PROPER(x0))
419.73/127.21
PROPER(cons(x0, 01)) → c50(CONS(proper(x0), ok(01)), PROPER(x0))
419.73/127.21
PROPER(cons(0, x1)) → c50(CONS(ok(0), proper(x1)), PROPER(x1))
419.73/127.21
PROPER(cons(nil, x1)) → c50(CONS(ok(nil), proper(x1)), PROPER(x1))
419.73/127.21
PROPER(cons(01, x1)) → c50(CONS(ok(01), proper(x1)), PROPER(x1))
S tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.73/127.21
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.73/127.21
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.73/127.21
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.73/127.21
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.73/127.21
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.73/127.21
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.73/127.21
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.73/127.21
DBL(mark(z0)) → c27(DBL(z0))
419.73/127.21
DBL(ok(z0)) → c28(DBL(z0))
419.73/127.21
DBLS(mark(z0)) → c29(DBLS(z0))
419.73/127.21
DBLS(ok(z0)) → c30(DBLS(z0))
419.73/127.21
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.73/127.21
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.73/127.21
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.73/127.21
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.73/127.21
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.73/127.21
DBL1(mark(z0)) → c36(DBL1(z0))
419.73/127.21
DBL1(ok(z0)) → c37(DBL1(z0))
419.73/127.21
S1(mark(z0)) → c38(S1(z0))
419.73/127.21
S1(ok(z0)) → c39(S1(z0))
419.73/127.21
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.73/127.21
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.73/127.21
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.73/127.21
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.73/127.21
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.73/127.21
PROPER(sel(z0, z1)) → c51(SEL(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.73/127.21
PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.73/127.21
PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
419.73/127.21
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
419.73/127.21
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
419.73/127.21
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.73/127.21
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
419.73/127.21
S(ok(z0)) → c59(S(z0))
419.73/127.21
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.73/127.21
FROM(ok(z0)) → c61(FROM(z0))
419.73/127.21
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
419.73/127.21
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.73/127.21
ACTIVE(from(z0)) → c8(S(z0))
419.73/127.21
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.73/127.21
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.73/127.21
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.73/127.21
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.73/127.21
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.73/127.21
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.73/127.21
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.73/127.21
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.73/127.21
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.73/127.21
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.73/127.21
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.73/127.21
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.73/127.21
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.73/127.21
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.73/127.21
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.21
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.21
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.21
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.21
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.21
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.21
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.21
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.21
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.21
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.21
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.21
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.21
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.21
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.21
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.21
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.21
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.73/127.21
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.73/127.21
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.73/127.21
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.73/127.21
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.73/127.21
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.21
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.21
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.21
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.21
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.21
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.21
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.21
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.21
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.21
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.21
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.21
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.21
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.21
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.21
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.21
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.21
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.73/127.21
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.73/127.21
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.73/127.21
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.21
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.21
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.73/127.21
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.73/127.21
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.21
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.21
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.73/127.21
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.73/127.21
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.21
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.21
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.21
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.21
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.73/127.21
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.73/127.21
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.73/127.21
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.73/127.21
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.73/127.21
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.73/127.21
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.73/127.21
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.73/127.21
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.73/127.21
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.73/127.21
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.73/127.21
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.73/127.21
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.73/127.21
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.73/127.21
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.73/127.21
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.73/127.21
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.73/127.21
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.21
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.21
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.21
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.21
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.73/127.21
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.73/127.21
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.73/127.21
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.73/127.21
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.73/127.21
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.21
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.73/127.21
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.73/127.21
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.21
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.21
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.21
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.21
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.21
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.21
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.21
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.21
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.21
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.21
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.21
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.21
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.21
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.21
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.21
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.21
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.73/127.21
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.73/127.21
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.21
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.73/127.21
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.73/127.21
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.73/127.21
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.73/127.21
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.73/127.21
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.21
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.73/127.21
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.21
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.73/127.21
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.21
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.73/127.21
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.73/127.21
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.21
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.73/127.21
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.21
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.21
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.73/127.21
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.73/127.21
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.73/127.21
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.21
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.21
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.21
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.21
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.21
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.21
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.21
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.21
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.21
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.21
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.21
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.21
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.21
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.21
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.21
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.21
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.21
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.73/127.21
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.73/127.21
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.73/127.21
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.73/127.21
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.73/127.21
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.73/127.21
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.21
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.73/127.21
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.21
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.21
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.73/127.21
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.73/127.21
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.73/127.21
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.73/127.21
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.21
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.21
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.21
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.21
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.21
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.21
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.21
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.21
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.21
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.21
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.21
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.21
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.21
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.21
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.21
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.21
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.73/127.21
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.73/127.21
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.21
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.73/127.21
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.73/127.21
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.73/127.21
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.73/127.21
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.73/127.21
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.73/127.21
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.73/127.21
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.73/127.21
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.21
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.73/127.21
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.21
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.73/127.21
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.73/127.21
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.73/127.21
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.21
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.73/127.21
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.21
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.73/127.21
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.73/127.21
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.21
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.73/127.21
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.21
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.21
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.73/127.21
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.73/127.21
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.73/127.21
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.73/127.21
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.73/127.21
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.21
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.21
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.73/127.21
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.21
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.21
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.21
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.21
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.73/127.21
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.21
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.21
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.21
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.21
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.73/127.21
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.73/127.21
PROPER(dbl(01)) → c45(DBL(ok(01)))
419.73/127.21
PROPER(s(dbl(z0))) → c47(S(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.21
PROPER(s(s(z0))) → c47(S(s(proper(z0))), PROPER(s(z0)))
419.73/127.21
PROPER(s(dbls(z0))) → c47(S(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.21
PROPER(s(cons(z0, z1))) → c47(S(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.21
PROPER(s(sel(z0, z1))) → c47(S(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.21
PROPER(s(indx(z0, z1))) → c47(S(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.21
PROPER(s(from(z0))) → c47(S(from(proper(z0))), PROPER(from(z0)))
419.73/127.21
PROPER(s(dbl1(z0))) → c47(S(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.21
PROPER(s(s1(z0))) → c47(S(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.21
PROPER(s(sel1(z0, z1))) → c47(S(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.21
PROPER(s(quote(z0))) → c47(S(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.21
PROPER(s(0)) → c47(S(ok(0)))
419.73/127.21
PROPER(s(nil)) → c47(S(ok(nil)))
419.73/127.21
PROPER(s(01)) → c47(S(ok(01)))
419.73/127.21
PROPER(dbls(dbl(z0))) → c48(DBLS(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.21
PROPER(dbls(s(z0))) → c48(DBLS(s(proper(z0))), PROPER(s(z0)))
419.73/127.21
PROPER(dbls(dbls(z0))) → c48(DBLS(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.21
PROPER(dbls(cons(z0, z1))) → c48(DBLS(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.21
PROPER(dbls(sel(z0, z1))) → c48(DBLS(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.21
PROPER(dbls(indx(z0, z1))) → c48(DBLS(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.21
PROPER(dbls(from(z0))) → c48(DBLS(from(proper(z0))), PROPER(from(z0)))
419.73/127.21
PROPER(dbls(dbl1(z0))) → c48(DBLS(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.21
PROPER(dbls(s1(z0))) → c48(DBLS(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.21
PROPER(dbls(sel1(z0, z1))) → c48(DBLS(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.21
PROPER(dbls(quote(z0))) → c48(DBLS(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.21
PROPER(dbls(0)) → c48(DBLS(ok(0)))
419.73/127.21
PROPER(dbls(nil)) → c48(DBLS(ok(nil)))
419.73/127.21
PROPER(dbls(01)) → c48(DBLS(ok(01)))
419.73/127.21
PROPER(cons(x0, dbl(z0))) → c50(CONS(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.21
PROPER(cons(x0, s(z0))) → c50(CONS(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.21
PROPER(cons(x0, dbls(z0))) → c50(CONS(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.21
PROPER(cons(x0, cons(z0, z1))) → c50(CONS(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.21
PROPER(cons(x0, sel(z0, z1))) → c50(CONS(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.21
PROPER(cons(x0, indx(z0, z1))) → c50(CONS(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.21
PROPER(cons(x0, from(z0))) → c50(CONS(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.21
PROPER(cons(x0, dbl1(z0))) → c50(CONS(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.21
PROPER(cons(x0, s1(z0))) → c50(CONS(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.21
PROPER(cons(x0, sel1(z0, z1))) → c50(CONS(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.21
PROPER(cons(x0, quote(z0))) → c50(CONS(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.21
PROPER(cons(dbl(z0), x1)) → c50(CONS(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.21
PROPER(cons(s(z0), x1)) → c50(CONS(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.21
PROPER(cons(dbls(z0), x1)) → c50(CONS(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.21
PROPER(cons(cons(z0, z1), x1)) → c50(CONS(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.21
PROPER(cons(sel(z0, z1), x1)) → c50(CONS(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.21
PROPER(cons(indx(z0, z1), x1)) → c50(CONS(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.21
PROPER(cons(from(z0), x1)) → c50(CONS(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.21
PROPER(cons(dbl1(z0), x1)) → c50(CONS(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.21
PROPER(cons(s1(z0), x1)) → c50(CONS(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.21
PROPER(cons(sel1(z0, z1), x1)) → c50(CONS(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.21
PROPER(cons(quote(z0), x1)) → c50(CONS(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.21
PROPER(cons(x0, 0)) → c50(CONS(proper(x0), ok(0)), PROPER(x0))
419.73/127.21
PROPER(cons(x0, nil)) → c50(CONS(proper(x0), ok(nil)), PROPER(x0))
419.73/127.21
PROPER(cons(x0, 01)) → c50(CONS(proper(x0), ok(01)), PROPER(x0))
419.73/127.21
PROPER(cons(0, x1)) → c50(CONS(ok(0), proper(x1)), PROPER(x1))
419.73/127.21
PROPER(cons(nil, x1)) → c50(CONS(ok(nil), proper(x1)), PROPER(x1))
419.73/127.21
PROPER(cons(01, x1)) → c50(CONS(ok(01), proper(x1)), PROPER(x1))
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
ACTIVE, DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, PROPER, S, CONS, FROM, TOP
Compound Symbols:
c5, c12, c15, c16, c19, c20, c24, c25, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c51, c52, c53, c54, c56, c57, c58, c59, c60, c61, c62, c63, c8, c, c17, c17, c1, c18, c18, c2, c21, c21, c3, c22, c22, c4, c23, c23, c6, c26, c26, c7, c45, c45, c47, c47, c48, c48, c50, c50
419.73/127.21
419.73/127.21
(59) CdtNarrowingProof (BOTH BOUNDS(ID, ID) transformation)
Use narrowing to replace
PROPER(
sel(
z0,
z1)) →
c51(
SEL(
proper(
z0),
proper(
z1)),
PROPER(
z0),
PROPER(
z1)) by
PROPER(sel(x0, dbl(z0))) → c51(SEL(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.21
PROPER(sel(x0, 0)) → c51(SEL(proper(x0), ok(0)), PROPER(x0), PROPER(0))
419.73/127.21
PROPER(sel(x0, s(z0))) → c51(SEL(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.21
PROPER(sel(x0, dbls(z0))) → c51(SEL(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.21
PROPER(sel(x0, nil)) → c51(SEL(proper(x0), ok(nil)), PROPER(x0), PROPER(nil))
419.73/127.21
PROPER(sel(x0, cons(z0, z1))) → c51(SEL(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.21
PROPER(sel(x0, sel(z0, z1))) → c51(SEL(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.21
PROPER(sel(x0, indx(z0, z1))) → c51(SEL(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.21
PROPER(sel(x0, from(z0))) → c51(SEL(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.21
PROPER(sel(x0, dbl1(z0))) → c51(SEL(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.21
PROPER(sel(x0, 01)) → c51(SEL(proper(x0), ok(01)), PROPER(x0), PROPER(01))
419.73/127.21
PROPER(sel(x0, s1(z0))) → c51(SEL(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.21
PROPER(sel(x0, sel1(z0, z1))) → c51(SEL(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.21
PROPER(sel(x0, quote(z0))) → c51(SEL(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.21
PROPER(sel(dbl(z0), x1)) → c51(SEL(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.21
PROPER(sel(0, x1)) → c51(SEL(ok(0), proper(x1)), PROPER(0), PROPER(x1))
419.73/127.21
PROPER(sel(s(z0), x1)) → c51(SEL(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.21
PROPER(sel(dbls(z0), x1)) → c51(SEL(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.21
PROPER(sel(nil, x1)) → c51(SEL(ok(nil), proper(x1)), PROPER(nil), PROPER(x1))
419.73/127.21
PROPER(sel(cons(z0, z1), x1)) → c51(SEL(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.21
PROPER(sel(sel(z0, z1), x1)) → c51(SEL(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.21
PROPER(sel(indx(z0, z1), x1)) → c51(SEL(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.21
PROPER(sel(from(z0), x1)) → c51(SEL(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.21
PROPER(sel(dbl1(z0), x1)) → c51(SEL(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.21
PROPER(sel(01, x1)) → c51(SEL(ok(01), proper(x1)), PROPER(01), PROPER(x1))
419.73/127.21
PROPER(sel(s1(z0), x1)) → c51(SEL(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.21
PROPER(sel(sel1(z0, z1), x1)) → c51(SEL(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.21
PROPER(sel(quote(z0), x1)) → c51(SEL(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.21
419.73/127.21
(60) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
419.73/127.21
active(dbl(s(z0))) → mark(s(s(dbl(z0))))
419.73/127.21
active(dbls(nil)) → mark(nil)
419.73/127.21
active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
419.73/127.21
active(sel(0, cons(z0, z1))) → mark(z0)
419.73/127.21
active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
419.73/127.21
active(indx(nil, z0)) → mark(nil)
419.73/127.21
active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
419.73/127.21
active(from(z0)) → mark(cons(z0, from(s(z0))))
419.73/127.21
active(dbl1(0)) → mark(01)
419.73/127.21
active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
419.73/127.21
active(sel1(0, cons(z0, z1))) → mark(z0)
419.73/127.21
active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
419.73/127.21
active(quote(0)) → mark(01)
419.73/127.21
active(quote(s(z0))) → mark(s1(quote(z0)))
419.73/127.21
active(quote(dbl(z0))) → mark(dbl1(z0))
419.73/127.21
active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
419.73/127.21
active(dbl(z0)) → dbl(active(z0))
419.73/127.21
active(dbls(z0)) → dbls(active(z0))
419.73/127.21
active(sel(z0, z1)) → sel(active(z0), z1)
419.73/127.21
active(sel(z0, z1)) → sel(z0, active(z1))
419.73/127.21
active(indx(z0, z1)) → indx(active(z0), z1)
419.73/127.21
active(dbl1(z0)) → dbl1(active(z0))
419.73/127.21
active(s1(z0)) → s1(active(z0))
419.73/127.21
active(sel1(z0, z1)) → sel1(active(z0), z1)
419.73/127.21
active(sel1(z0, z1)) → sel1(z0, active(z1))
419.73/127.21
active(quote(z0)) → quote(active(z0))
419.73/127.21
dbl(mark(z0)) → mark(dbl(z0))
419.73/127.21
dbl(ok(z0)) → ok(dbl(z0))
419.73/127.21
dbls(mark(z0)) → mark(dbls(z0))
419.73/127.21
dbls(ok(z0)) → ok(dbls(z0))
419.73/127.21
sel(mark(z0), z1) → mark(sel(z0, z1))
419.73/127.21
sel(z0, mark(z1)) → mark(sel(z0, z1))
419.73/127.21
sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
419.73/127.21
indx(mark(z0), z1) → mark(indx(z0, z1))
419.73/127.21
indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
419.73/127.21
dbl1(mark(z0)) → mark(dbl1(z0))
419.73/127.21
dbl1(ok(z0)) → ok(dbl1(z0))
419.73/127.21
s1(mark(z0)) → mark(s1(z0))
419.73/127.21
s1(ok(z0)) → ok(s1(z0))
419.73/127.21
sel1(mark(z0), z1) → mark(sel1(z0, z1))
419.73/127.21
sel1(z0, mark(z1)) → mark(sel1(z0, z1))
419.73/127.21
sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
419.73/127.21
quote(mark(z0)) → mark(quote(z0))
419.73/127.21
quote(ok(z0)) → ok(quote(z0))
419.73/127.21
proper(dbl(z0)) → dbl(proper(z0))
419.73/127.21
proper(0) → ok(0)
419.73/127.21
proper(s(z0)) → s(proper(z0))
419.73/127.21
proper(dbls(z0)) → dbls(proper(z0))
419.73/127.21
proper(nil) → ok(nil)
419.73/127.21
proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
419.73/127.21
proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
419.73/127.21
proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
419.73/127.21
proper(from(z0)) → from(proper(z0))
419.73/127.21
proper(dbl1(z0)) → dbl1(proper(z0))
419.73/127.21
proper(01) → ok(01)
419.73/127.21
proper(s1(z0)) → s1(proper(z0))
419.73/127.21
proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
419.73/127.21
proper(quote(z0)) → quote(proper(z0))
419.73/127.21
s(ok(z0)) → ok(s(z0))
419.73/127.21
cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
419.73/127.21
from(ok(z0)) → ok(from(z0))
419.73/127.21
top(mark(z0)) → top(proper(z0))
419.73/127.21
top(ok(z0)) → top(active(z0))
Tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.73/127.21
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.73/127.21
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.73/127.21
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.73/127.21
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.73/127.21
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.73/127.21
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.73/127.21
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.73/127.21
DBL(mark(z0)) → c27(DBL(z0))
419.73/127.21
DBL(ok(z0)) → c28(DBL(z0))
419.73/127.21
DBLS(mark(z0)) → c29(DBLS(z0))
419.73/127.21
DBLS(ok(z0)) → c30(DBLS(z0))
419.73/127.21
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.73/127.21
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.73/127.21
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.73/127.21
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.73/127.21
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.73/127.21
DBL1(mark(z0)) → c36(DBL1(z0))
419.73/127.21
DBL1(ok(z0)) → c37(DBL1(z0))
419.73/127.21
S1(mark(z0)) → c38(S1(z0))
419.73/127.21
S1(ok(z0)) → c39(S1(z0))
419.73/127.21
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.73/127.21
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.73/127.21
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.73/127.21
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.73/127.21
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.73/127.21
PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.73/127.21
PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
419.73/127.21
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
419.73/127.21
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
419.73/127.21
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.73/127.21
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
419.73/127.21
S(ok(z0)) → c59(S(z0))
419.73/127.21
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.73/127.21
FROM(ok(z0)) → c61(FROM(z0))
419.73/127.21
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
419.73/127.21
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.73/127.21
ACTIVE(from(z0)) → c8(S(z0))
419.73/127.21
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.73/127.21
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.73/127.21
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.73/127.21
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.73/127.21
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.73/127.21
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.73/127.21
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.73/127.21
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.73/127.21
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.73/127.21
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.73/127.21
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.73/127.21
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.73/127.21
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.73/127.21
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.73/127.21
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.21
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.21
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.21
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.21
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.21
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.21
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.21
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.21
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.21
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.21
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.21
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.21
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.21
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.21
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.21
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.21
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.73/127.21
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.73/127.21
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.73/127.21
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.73/127.21
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.73/127.21
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.21
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.21
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.21
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.21
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.21
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.21
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.21
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.21
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.21
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.21
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.21
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.21
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.21
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.21
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.21
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.21
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.73/127.21
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.73/127.21
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.73/127.21
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.21
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.21
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.73/127.21
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.73/127.21
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.21
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.21
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.73/127.21
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.73/127.21
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.21
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.21
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.21
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.21
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.73/127.21
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.73/127.21
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.73/127.21
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.73/127.21
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.73/127.21
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.73/127.21
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.73/127.21
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.73/127.21
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.73/127.21
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.73/127.21
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.73/127.21
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.73/127.21
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.73/127.21
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.73/127.21
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.73/127.21
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.73/127.21
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.73/127.21
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.21
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.21
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.21
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.21
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.73/127.21
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.73/127.21
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.73/127.21
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.73/127.21
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.73/127.21
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.21
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.73/127.21
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.73/127.21
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.21
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.21
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.21
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.21
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.21
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.21
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.21
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.21
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.21
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.21
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.21
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.21
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.21
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.21
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.21
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.21
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.73/127.21
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.73/127.21
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.21
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.73/127.21
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.73/127.21
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.73/127.21
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.73/127.21
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.73/127.21
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.21
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.73/127.21
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.21
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.73/127.21
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.21
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.73/127.21
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.73/127.21
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.21
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.73/127.21
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.21
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.21
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.73/127.21
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.73/127.21
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.73/127.21
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.21
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.21
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.21
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.21
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.21
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.21
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.21
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.21
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.21
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.21
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.21
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.21
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.21
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.21
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.21
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.21
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.21
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.73/127.21
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.73/127.21
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.73/127.21
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.73/127.21
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.73/127.21
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.73/127.21
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.21
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.73/127.21
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.21
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.21
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.73/127.21
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.73/127.21
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.73/127.21
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.73/127.21
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.21
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.21
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.21
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.21
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.21
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.21
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.21
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.21
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.21
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.21
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.21
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.21
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.21
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.21
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.21
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.21
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.73/127.21
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.73/127.21
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.21
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.73/127.21
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.73/127.21
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.73/127.21
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.73/127.21
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.73/127.21
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.73/127.21
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.73/127.21
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.73/127.21
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.21
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.73/127.21
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.21
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.73/127.21
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.73/127.21
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.73/127.21
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.21
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.73/127.21
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.21
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.73/127.21
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.73/127.21
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.21
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.73/127.21
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.21
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.21
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.73/127.21
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.73/127.21
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.73/127.21
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.73/127.21
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.73/127.21
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.21
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.21
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.73/127.21
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.21
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.21
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.21
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.21
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.73/127.21
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.21
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.21
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.21
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.21
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.73/127.21
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.73/127.21
PROPER(dbl(01)) → c45(DBL(ok(01)))
419.73/127.21
PROPER(s(dbl(z0))) → c47(S(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.21
PROPER(s(s(z0))) → c47(S(s(proper(z0))), PROPER(s(z0)))
419.73/127.21
PROPER(s(dbls(z0))) → c47(S(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.21
PROPER(s(cons(z0, z1))) → c47(S(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.21
PROPER(s(sel(z0, z1))) → c47(S(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.21
PROPER(s(indx(z0, z1))) → c47(S(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.21
PROPER(s(from(z0))) → c47(S(from(proper(z0))), PROPER(from(z0)))
419.73/127.21
PROPER(s(dbl1(z0))) → c47(S(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.21
PROPER(s(s1(z0))) → c47(S(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.21
PROPER(s(sel1(z0, z1))) → c47(S(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.21
PROPER(s(quote(z0))) → c47(S(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.21
PROPER(s(0)) → c47(S(ok(0)))
419.73/127.21
PROPER(s(nil)) → c47(S(ok(nil)))
419.73/127.21
PROPER(s(01)) → c47(S(ok(01)))
419.73/127.21
PROPER(dbls(dbl(z0))) → c48(DBLS(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.21
PROPER(dbls(s(z0))) → c48(DBLS(s(proper(z0))), PROPER(s(z0)))
419.73/127.21
PROPER(dbls(dbls(z0))) → c48(DBLS(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.21
PROPER(dbls(cons(z0, z1))) → c48(DBLS(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.21
PROPER(dbls(sel(z0, z1))) → c48(DBLS(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.21
PROPER(dbls(indx(z0, z1))) → c48(DBLS(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.21
PROPER(dbls(from(z0))) → c48(DBLS(from(proper(z0))), PROPER(from(z0)))
419.73/127.21
PROPER(dbls(dbl1(z0))) → c48(DBLS(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.21
PROPER(dbls(s1(z0))) → c48(DBLS(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.21
PROPER(dbls(sel1(z0, z1))) → c48(DBLS(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.21
PROPER(dbls(quote(z0))) → c48(DBLS(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.21
PROPER(dbls(0)) → c48(DBLS(ok(0)))
419.73/127.21
PROPER(dbls(nil)) → c48(DBLS(ok(nil)))
419.73/127.21
PROPER(dbls(01)) → c48(DBLS(ok(01)))
419.73/127.21
PROPER(cons(x0, dbl(z0))) → c50(CONS(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.21
PROPER(cons(x0, s(z0))) → c50(CONS(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.21
PROPER(cons(x0, dbls(z0))) → c50(CONS(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.21
PROPER(cons(x0, cons(z0, z1))) → c50(CONS(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.21
PROPER(cons(x0, sel(z0, z1))) → c50(CONS(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.21
PROPER(cons(x0, indx(z0, z1))) → c50(CONS(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.21
PROPER(cons(x0, from(z0))) → c50(CONS(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.21
PROPER(cons(x0, dbl1(z0))) → c50(CONS(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.21
PROPER(cons(x0, s1(z0))) → c50(CONS(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.21
PROPER(cons(x0, sel1(z0, z1))) → c50(CONS(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.21
PROPER(cons(x0, quote(z0))) → c50(CONS(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.21
PROPER(cons(dbl(z0), x1)) → c50(CONS(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.21
PROPER(cons(s(z0), x1)) → c50(CONS(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.21
PROPER(cons(dbls(z0), x1)) → c50(CONS(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.21
PROPER(cons(cons(z0, z1), x1)) → c50(CONS(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.21
PROPER(cons(sel(z0, z1), x1)) → c50(CONS(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.21
PROPER(cons(indx(z0, z1), x1)) → c50(CONS(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.21
PROPER(cons(from(z0), x1)) → c50(CONS(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.21
PROPER(cons(dbl1(z0), x1)) → c50(CONS(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.21
PROPER(cons(s1(z0), x1)) → c50(CONS(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.21
PROPER(cons(sel1(z0, z1), x1)) → c50(CONS(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.21
PROPER(cons(quote(z0), x1)) → c50(CONS(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.21
PROPER(cons(x0, 0)) → c50(CONS(proper(x0), ok(0)), PROPER(x0))
419.73/127.21
PROPER(cons(x0, nil)) → c50(CONS(proper(x0), ok(nil)), PROPER(x0))
419.73/127.21
PROPER(cons(x0, 01)) → c50(CONS(proper(x0), ok(01)), PROPER(x0))
419.73/127.21
PROPER(cons(0, x1)) → c50(CONS(ok(0), proper(x1)), PROPER(x1))
419.73/127.21
PROPER(cons(nil, x1)) → c50(CONS(ok(nil), proper(x1)), PROPER(x1))
419.73/127.21
PROPER(cons(01, x1)) → c50(CONS(ok(01), proper(x1)), PROPER(x1))
419.73/127.21
PROPER(sel(x0, dbl(z0))) → c51(SEL(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.21
PROPER(sel(x0, 0)) → c51(SEL(proper(x0), ok(0)), PROPER(x0), PROPER(0))
419.73/127.21
PROPER(sel(x0, s(z0))) → c51(SEL(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.21
PROPER(sel(x0, dbls(z0))) → c51(SEL(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.21
PROPER(sel(x0, nil)) → c51(SEL(proper(x0), ok(nil)), PROPER(x0), PROPER(nil))
419.73/127.21
PROPER(sel(x0, cons(z0, z1))) → c51(SEL(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.21
PROPER(sel(x0, sel(z0, z1))) → c51(SEL(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.21
PROPER(sel(x0, indx(z0, z1))) → c51(SEL(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.21
PROPER(sel(x0, from(z0))) → c51(SEL(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.21
PROPER(sel(x0, dbl1(z0))) → c51(SEL(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.21
PROPER(sel(x0, 01)) → c51(SEL(proper(x0), ok(01)), PROPER(x0), PROPER(01))
419.73/127.21
PROPER(sel(x0, s1(z0))) → c51(SEL(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.21
PROPER(sel(x0, sel1(z0, z1))) → c51(SEL(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.21
PROPER(sel(x0, quote(z0))) → c51(SEL(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.21
PROPER(sel(dbl(z0), x1)) → c51(SEL(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.21
PROPER(sel(0, x1)) → c51(SEL(ok(0), proper(x1)), PROPER(0), PROPER(x1))
419.73/127.21
PROPER(sel(s(z0), x1)) → c51(SEL(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.21
PROPER(sel(dbls(z0), x1)) → c51(SEL(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.21
PROPER(sel(nil, x1)) → c51(SEL(ok(nil), proper(x1)), PROPER(nil), PROPER(x1))
419.73/127.21
PROPER(sel(cons(z0, z1), x1)) → c51(SEL(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.21
PROPER(sel(sel(z0, z1), x1)) → c51(SEL(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.21
PROPER(sel(indx(z0, z1), x1)) → c51(SEL(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.21
PROPER(sel(from(z0), x1)) → c51(SEL(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.21
PROPER(sel(dbl1(z0), x1)) → c51(SEL(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.21
PROPER(sel(01, x1)) → c51(SEL(ok(01), proper(x1)), PROPER(01), PROPER(x1))
419.73/127.21
PROPER(sel(s1(z0), x1)) → c51(SEL(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.21
PROPER(sel(sel1(z0, z1), x1)) → c51(SEL(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.21
PROPER(sel(quote(z0), x1)) → c51(SEL(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
S tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.73/127.21
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.73/127.21
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.73/127.21
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.73/127.21
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.73/127.21
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.73/127.21
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.73/127.21
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.73/127.21
DBL(mark(z0)) → c27(DBL(z0))
419.73/127.21
DBL(ok(z0)) → c28(DBL(z0))
419.73/127.21
DBLS(mark(z0)) → c29(DBLS(z0))
419.73/127.21
DBLS(ok(z0)) → c30(DBLS(z0))
419.73/127.21
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.73/127.21
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.73/127.21
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.73/127.21
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.73/127.21
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.73/127.21
DBL1(mark(z0)) → c36(DBL1(z0))
419.73/127.21
DBL1(ok(z0)) → c37(DBL1(z0))
419.73/127.21
S1(mark(z0)) → c38(S1(z0))
419.73/127.21
S1(ok(z0)) → c39(S1(z0))
419.73/127.21
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.73/127.21
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.73/127.21
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.73/127.21
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.73/127.21
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.73/127.21
PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.73/127.21
PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
419.73/127.21
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
419.73/127.21
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
419.73/127.21
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.73/127.21
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
419.73/127.21
S(ok(z0)) → c59(S(z0))
419.73/127.21
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.73/127.21
FROM(ok(z0)) → c61(FROM(z0))
419.73/127.21
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
419.73/127.21
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.73/127.21
ACTIVE(from(z0)) → c8(S(z0))
419.73/127.21
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.73/127.21
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.73/127.21
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.73/127.21
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.73/127.21
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.73/127.21
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.73/127.21
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.73/127.21
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.73/127.21
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.73/127.21
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.73/127.21
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.73/127.21
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.73/127.21
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.73/127.21
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.73/127.21
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.21
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.21
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.21
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.21
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.21
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.21
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.21
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.21
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.21
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.21
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.21
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.21
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.21
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.21
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.21
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.21
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.73/127.21
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.73/127.21
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.73/127.21
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.73/127.21
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.73/127.21
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.21
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.21
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.21
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.21
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.21
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.21
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.21
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.21
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.21
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.21
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.21
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.21
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.21
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.21
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.21
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.21
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.73/127.21
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.73/127.21
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.73/127.21
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.21
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.21
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.73/127.21
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.73/127.21
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.21
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.21
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.73/127.21
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.73/127.21
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.21
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.21
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.21
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.21
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.73/127.21
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.73/127.21
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.73/127.21
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.73/127.21
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.73/127.21
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.73/127.21
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.73/127.21
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.73/127.21
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.73/127.21
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.73/127.21
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.73/127.21
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.73/127.21
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.73/127.21
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.73/127.21
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.73/127.21
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.73/127.21
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.73/127.21
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.21
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.21
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.21
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.21
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.73/127.21
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.73/127.21
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.73/127.21
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.73/127.21
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.73/127.21
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.21
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.73/127.21
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.73/127.21
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.21
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.21
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.21
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.21
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.21
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.21
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.21
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.21
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.21
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.21
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.21
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.21
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.21
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.21
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.21
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.21
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.73/127.21
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.73/127.21
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.21
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.73/127.21
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.73/127.21
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.73/127.21
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.73/127.21
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.73/127.21
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.21
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.73/127.21
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.21
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.73/127.21
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.21
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.73/127.21
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.73/127.21
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.21
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.73/127.21
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.21
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.21
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.73/127.21
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.73/127.21
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.73/127.21
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.21
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.21
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.21
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.21
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.21
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.21
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.21
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.21
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.21
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.21
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.21
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.21
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.21
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.21
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.21
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.21
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.21
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.73/127.21
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.73/127.21
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.73/127.21
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.73/127.21
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.73/127.21
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.73/127.21
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.21
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.73/127.21
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.21
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.21
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.73/127.21
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.73/127.21
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.73/127.21
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.73/127.21
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.21
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.21
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.21
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.21
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.21
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.21
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.21
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.21
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.21
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.21
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.21
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.21
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.21
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.21
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.21
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.21
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.73/127.21
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.73/127.21
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.21
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.73/127.21
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.73/127.21
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.73/127.21
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.73/127.21
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.73/127.21
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.73/127.21
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.73/127.21
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.73/127.21
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.21
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.73/127.21
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.21
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.73/127.21
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.73/127.21
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.73/127.21
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.21
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.73/127.21
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.21
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.73/127.21
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.73/127.21
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.21
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.73/127.21
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.21
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.21
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.73/127.21
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.73/127.21
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.73/127.21
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.73/127.21
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.73/127.21
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.21
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.21
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.73/127.21
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.21
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.21
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.21
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.21
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.73/127.21
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.21
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.21
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.21
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.21
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.73/127.21
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.73/127.21
PROPER(dbl(01)) → c45(DBL(ok(01)))
419.73/127.21
PROPER(s(dbl(z0))) → c47(S(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.21
PROPER(s(s(z0))) → c47(S(s(proper(z0))), PROPER(s(z0)))
419.73/127.21
PROPER(s(dbls(z0))) → c47(S(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.21
PROPER(s(cons(z0, z1))) → c47(S(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.21
PROPER(s(sel(z0, z1))) → c47(S(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.21
PROPER(s(indx(z0, z1))) → c47(S(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.21
PROPER(s(from(z0))) → c47(S(from(proper(z0))), PROPER(from(z0)))
419.73/127.21
PROPER(s(dbl1(z0))) → c47(S(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.21
PROPER(s(s1(z0))) → c47(S(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.21
PROPER(s(sel1(z0, z1))) → c47(S(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.21
PROPER(s(quote(z0))) → c47(S(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.21
PROPER(s(0)) → c47(S(ok(0)))
419.73/127.21
PROPER(s(nil)) → c47(S(ok(nil)))
419.73/127.21
PROPER(s(01)) → c47(S(ok(01)))
419.73/127.21
PROPER(dbls(dbl(z0))) → c48(DBLS(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.21
PROPER(dbls(s(z0))) → c48(DBLS(s(proper(z0))), PROPER(s(z0)))
419.73/127.21
PROPER(dbls(dbls(z0))) → c48(DBLS(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.21
PROPER(dbls(cons(z0, z1))) → c48(DBLS(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.21
PROPER(dbls(sel(z0, z1))) → c48(DBLS(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.21
PROPER(dbls(indx(z0, z1))) → c48(DBLS(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.21
PROPER(dbls(from(z0))) → c48(DBLS(from(proper(z0))), PROPER(from(z0)))
419.73/127.21
PROPER(dbls(dbl1(z0))) → c48(DBLS(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.21
PROPER(dbls(s1(z0))) → c48(DBLS(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.21
PROPER(dbls(sel1(z0, z1))) → c48(DBLS(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.21
PROPER(dbls(quote(z0))) → c48(DBLS(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.21
PROPER(dbls(0)) → c48(DBLS(ok(0)))
419.73/127.21
PROPER(dbls(nil)) → c48(DBLS(ok(nil)))
419.73/127.21
PROPER(dbls(01)) → c48(DBLS(ok(01)))
419.73/127.21
PROPER(cons(x0, dbl(z0))) → c50(CONS(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.21
PROPER(cons(x0, s(z0))) → c50(CONS(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.21
PROPER(cons(x0, dbls(z0))) → c50(CONS(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.21
PROPER(cons(x0, cons(z0, z1))) → c50(CONS(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.21
PROPER(cons(x0, sel(z0, z1))) → c50(CONS(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.21
PROPER(cons(x0, indx(z0, z1))) → c50(CONS(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.21
PROPER(cons(x0, from(z0))) → c50(CONS(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.21
PROPER(cons(x0, dbl1(z0))) → c50(CONS(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.21
PROPER(cons(x0, s1(z0))) → c50(CONS(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.21
PROPER(cons(x0, sel1(z0, z1))) → c50(CONS(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.21
PROPER(cons(x0, quote(z0))) → c50(CONS(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.21
PROPER(cons(dbl(z0), x1)) → c50(CONS(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.21
PROPER(cons(s(z0), x1)) → c50(CONS(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.21
PROPER(cons(dbls(z0), x1)) → c50(CONS(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.21
PROPER(cons(cons(z0, z1), x1)) → c50(CONS(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.21
PROPER(cons(sel(z0, z1), x1)) → c50(CONS(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.21
PROPER(cons(indx(z0, z1), x1)) → c50(CONS(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.21
PROPER(cons(from(z0), x1)) → c50(CONS(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.21
PROPER(cons(dbl1(z0), x1)) → c50(CONS(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.21
PROPER(cons(s1(z0), x1)) → c50(CONS(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.21
PROPER(cons(sel1(z0, z1), x1)) → c50(CONS(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.21
PROPER(cons(quote(z0), x1)) → c50(CONS(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.21
PROPER(cons(x0, 0)) → c50(CONS(proper(x0), ok(0)), PROPER(x0))
419.73/127.21
PROPER(cons(x0, nil)) → c50(CONS(proper(x0), ok(nil)), PROPER(x0))
419.73/127.21
PROPER(cons(x0, 01)) → c50(CONS(proper(x0), ok(01)), PROPER(x0))
419.73/127.21
PROPER(cons(0, x1)) → c50(CONS(ok(0), proper(x1)), PROPER(x1))
419.73/127.21
PROPER(cons(nil, x1)) → c50(CONS(ok(nil), proper(x1)), PROPER(x1))
419.73/127.21
PROPER(cons(01, x1)) → c50(CONS(ok(01), proper(x1)), PROPER(x1))
419.73/127.21
PROPER(sel(x0, dbl(z0))) → c51(SEL(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.21
PROPER(sel(x0, 0)) → c51(SEL(proper(x0), ok(0)), PROPER(x0), PROPER(0))
419.73/127.21
PROPER(sel(x0, s(z0))) → c51(SEL(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.21
PROPER(sel(x0, dbls(z0))) → c51(SEL(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.21
PROPER(sel(x0, nil)) → c51(SEL(proper(x0), ok(nil)), PROPER(x0), PROPER(nil))
419.73/127.21
PROPER(sel(x0, cons(z0, z1))) → c51(SEL(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.21
PROPER(sel(x0, sel(z0, z1))) → c51(SEL(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.21
PROPER(sel(x0, indx(z0, z1))) → c51(SEL(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.21
PROPER(sel(x0, from(z0))) → c51(SEL(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.21
PROPER(sel(x0, dbl1(z0))) → c51(SEL(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.21
PROPER(sel(x0, 01)) → c51(SEL(proper(x0), ok(01)), PROPER(x0), PROPER(01))
419.73/127.21
PROPER(sel(x0, s1(z0))) → c51(SEL(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.21
PROPER(sel(x0, sel1(z0, z1))) → c51(SEL(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.21
PROPER(sel(x0, quote(z0))) → c51(SEL(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.21
PROPER(sel(dbl(z0), x1)) → c51(SEL(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.21
PROPER(sel(0, x1)) → c51(SEL(ok(0), proper(x1)), PROPER(0), PROPER(x1))
419.73/127.21
PROPER(sel(s(z0), x1)) → c51(SEL(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.21
PROPER(sel(dbls(z0), x1)) → c51(SEL(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.21
PROPER(sel(nil, x1)) → c51(SEL(ok(nil), proper(x1)), PROPER(nil), PROPER(x1))
419.73/127.21
PROPER(sel(cons(z0, z1), x1)) → c51(SEL(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.21
PROPER(sel(sel(z0, z1), x1)) → c51(SEL(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.21
PROPER(sel(indx(z0, z1), x1)) → c51(SEL(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.21
PROPER(sel(from(z0), x1)) → c51(SEL(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.21
PROPER(sel(dbl1(z0), x1)) → c51(SEL(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.21
PROPER(sel(01, x1)) → c51(SEL(ok(01), proper(x1)), PROPER(01), PROPER(x1))
419.73/127.21
PROPER(sel(s1(z0), x1)) → c51(SEL(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.21
PROPER(sel(sel1(z0, z1), x1)) → c51(SEL(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.21
PROPER(sel(quote(z0), x1)) → c51(SEL(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
ACTIVE, DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, PROPER, S, CONS, FROM, TOP
Compound Symbols:
c5, c12, c15, c16, c19, c20, c24, c25, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c52, c53, c54, c56, c57, c58, c59, c60, c61, c62, c63, c8, c, c17, c17, c1, c18, c18, c2, c21, c21, c3, c22, c22, c4, c23, c23, c6, c26, c26, c7, c45, c45, c47, c47, c48, c48, c50, c50, c51
419.73/127.21
419.73/127.21
(61) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID) transformation)
Removed 6 trailing tuple parts
419.73/127.21
419.73/127.21
(62) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
419.73/127.21
active(dbl(s(z0))) → mark(s(s(dbl(z0))))
419.73/127.21
active(dbls(nil)) → mark(nil)
419.73/127.21
active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
419.73/127.21
active(sel(0, cons(z0, z1))) → mark(z0)
419.73/127.21
active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
419.73/127.21
active(indx(nil, z0)) → mark(nil)
419.73/127.21
active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
419.73/127.21
active(from(z0)) → mark(cons(z0, from(s(z0))))
419.73/127.21
active(dbl1(0)) → mark(01)
419.73/127.21
active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
419.73/127.21
active(sel1(0, cons(z0, z1))) → mark(z0)
419.73/127.21
active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
419.73/127.21
active(quote(0)) → mark(01)
419.73/127.21
active(quote(s(z0))) → mark(s1(quote(z0)))
419.73/127.21
active(quote(dbl(z0))) → mark(dbl1(z0))
419.73/127.21
active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
419.73/127.21
active(dbl(z0)) → dbl(active(z0))
419.73/127.21
active(dbls(z0)) → dbls(active(z0))
419.73/127.21
active(sel(z0, z1)) → sel(active(z0), z1)
419.73/127.21
active(sel(z0, z1)) → sel(z0, active(z1))
419.73/127.21
active(indx(z0, z1)) → indx(active(z0), z1)
419.73/127.21
active(dbl1(z0)) → dbl1(active(z0))
419.73/127.21
active(s1(z0)) → s1(active(z0))
419.73/127.21
active(sel1(z0, z1)) → sel1(active(z0), z1)
419.73/127.21
active(sel1(z0, z1)) → sel1(z0, active(z1))
419.73/127.21
active(quote(z0)) → quote(active(z0))
419.73/127.21
dbl(mark(z0)) → mark(dbl(z0))
419.73/127.21
dbl(ok(z0)) → ok(dbl(z0))
419.73/127.21
dbls(mark(z0)) → mark(dbls(z0))
419.73/127.21
dbls(ok(z0)) → ok(dbls(z0))
419.73/127.21
sel(mark(z0), z1) → mark(sel(z0, z1))
419.73/127.21
sel(z0, mark(z1)) → mark(sel(z0, z1))
419.73/127.21
sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
419.73/127.21
indx(mark(z0), z1) → mark(indx(z0, z1))
419.73/127.21
indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
419.73/127.21
dbl1(mark(z0)) → mark(dbl1(z0))
419.73/127.21
dbl1(ok(z0)) → ok(dbl1(z0))
419.73/127.21
s1(mark(z0)) → mark(s1(z0))
419.73/127.21
s1(ok(z0)) → ok(s1(z0))
419.73/127.21
sel1(mark(z0), z1) → mark(sel1(z0, z1))
419.73/127.21
sel1(z0, mark(z1)) → mark(sel1(z0, z1))
419.73/127.21
sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
419.73/127.21
quote(mark(z0)) → mark(quote(z0))
419.73/127.21
quote(ok(z0)) → ok(quote(z0))
419.73/127.21
proper(dbl(z0)) → dbl(proper(z0))
419.73/127.21
proper(0) → ok(0)
419.73/127.21
proper(s(z0)) → s(proper(z0))
419.73/127.21
proper(dbls(z0)) → dbls(proper(z0))
419.73/127.21
proper(nil) → ok(nil)
419.73/127.21
proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
419.73/127.21
proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
419.73/127.21
proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
419.73/127.21
proper(from(z0)) → from(proper(z0))
419.73/127.21
proper(dbl1(z0)) → dbl1(proper(z0))
419.73/127.21
proper(01) → ok(01)
419.73/127.21
proper(s1(z0)) → s1(proper(z0))
419.73/127.21
proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
419.73/127.21
proper(quote(z0)) → quote(proper(z0))
419.73/127.21
s(ok(z0)) → ok(s(z0))
419.73/127.21
cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
419.73/127.21
from(ok(z0)) → ok(from(z0))
419.73/127.21
top(mark(z0)) → top(proper(z0))
419.73/127.21
top(ok(z0)) → top(active(z0))
Tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.73/127.21
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.73/127.21
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.73/127.21
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.73/127.21
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.73/127.21
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.73/127.21
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.73/127.21
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.73/127.21
DBL(mark(z0)) → c27(DBL(z0))
419.73/127.21
DBL(ok(z0)) → c28(DBL(z0))
419.73/127.21
DBLS(mark(z0)) → c29(DBLS(z0))
419.73/127.21
DBLS(ok(z0)) → c30(DBLS(z0))
419.73/127.21
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.73/127.21
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.73/127.22
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.73/127.22
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.73/127.22
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.73/127.22
DBL1(mark(z0)) → c36(DBL1(z0))
419.73/127.22
DBL1(ok(z0)) → c37(DBL1(z0))
419.73/127.22
S1(mark(z0)) → c38(S1(z0))
419.73/127.22
S1(ok(z0)) → c39(S1(z0))
419.73/127.22
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.73/127.22
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.73/127.22
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.73/127.22
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.73/127.22
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.73/127.22
PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.73/127.22
PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
419.73/127.22
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
419.73/127.22
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
419.73/127.22
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.73/127.22
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
419.73/127.22
S(ok(z0)) → c59(S(z0))
419.73/127.22
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.73/127.22
FROM(ok(z0)) → c61(FROM(z0))
419.73/127.22
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
419.73/127.22
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.73/127.22
ACTIVE(from(z0)) → c8(S(z0))
419.73/127.22
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.73/127.22
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.73/127.22
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.73/127.22
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.73/127.22
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.73/127.22
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.73/127.22
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.73/127.22
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.73/127.22
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.73/127.22
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.73/127.22
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.73/127.22
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.73/127.22
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.73/127.22
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.73/127.22
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.22
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.22
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.22
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.22
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.22
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.22
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.22
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.22
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.22
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.22
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.22
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.22
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.22
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.22
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.22
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.22
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.73/127.22
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.73/127.22
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.73/127.22
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.73/127.22
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.73/127.22
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.22
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.22
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.22
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.22
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.22
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.22
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.22
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.22
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.22
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.22
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.22
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.22
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.22
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.22
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.22
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.22
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.73/127.22
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.73/127.22
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.73/127.22
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.22
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.22
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.73/127.22
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.73/127.22
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.22
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.22
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.73/127.22
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.73/127.22
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.22
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.22
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.22
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.22
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.73/127.22
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.73/127.22
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.73/127.22
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.73/127.22
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.73/127.22
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.73/127.22
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.73/127.22
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.73/127.22
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.73/127.22
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.73/127.22
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.73/127.22
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.73/127.22
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.73/127.22
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.73/127.22
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.73/127.22
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.73/127.22
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.73/127.22
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.22
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.22
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.22
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.22
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.73/127.22
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.73/127.22
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.73/127.22
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.73/127.22
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.73/127.22
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.22
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.73/127.22
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.73/127.22
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.22
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.22
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.22
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.22
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.22
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.22
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.22
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.22
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.22
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.22
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.22
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.22
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.22
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.22
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.22
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.22
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.73/127.22
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.73/127.22
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.22
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.73/127.22
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.73/127.22
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.73/127.22
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.73/127.22
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.73/127.22
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.22
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.73/127.22
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.22
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.73/127.22
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.22
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.73/127.22
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.73/127.22
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.22
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.73/127.22
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.22
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.22
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.73/127.22
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.73/127.22
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.73/127.22
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.22
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.22
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.22
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.22
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.22
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.22
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.22
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.22
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.22
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.22
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.22
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.22
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.22
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.22
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.22
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.22
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.22
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.73/127.22
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.73/127.22
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.73/127.22
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.73/127.22
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.73/127.22
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.73/127.22
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.22
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.73/127.22
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.22
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.22
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.73/127.22
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.73/127.22
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.73/127.22
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.73/127.22
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.22
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.22
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.22
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.22
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.22
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.22
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.22
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.22
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.22
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.22
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.22
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.22
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.22
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.22
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.22
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.22
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.73/127.22
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.73/127.22
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.22
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.73/127.22
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.73/127.22
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.73/127.22
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.73/127.22
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.73/127.22
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.73/127.22
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.73/127.22
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.73/127.22
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.22
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.73/127.22
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.22
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.73/127.22
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.73/127.22
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.73/127.22
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.22
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.73/127.22
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.22
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.73/127.22
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.73/127.22
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.22
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.73/127.22
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.22
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.22
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.73/127.22
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.73/127.22
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.73/127.22
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.73/127.22
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.73/127.22
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.22
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.22
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.73/127.22
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.22
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.22
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.22
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.22
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.73/127.22
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.22
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.22
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.22
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.22
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.73/127.22
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.73/127.22
PROPER(dbl(01)) → c45(DBL(ok(01)))
419.73/127.22
PROPER(s(dbl(z0))) → c47(S(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.22
PROPER(s(s(z0))) → c47(S(s(proper(z0))), PROPER(s(z0)))
419.73/127.22
PROPER(s(dbls(z0))) → c47(S(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.22
PROPER(s(cons(z0, z1))) → c47(S(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.22
PROPER(s(sel(z0, z1))) → c47(S(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.22
PROPER(s(indx(z0, z1))) → c47(S(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.22
PROPER(s(from(z0))) → c47(S(from(proper(z0))), PROPER(from(z0)))
419.73/127.22
PROPER(s(dbl1(z0))) → c47(S(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.22
PROPER(s(s1(z0))) → c47(S(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.22
PROPER(s(sel1(z0, z1))) → c47(S(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.22
PROPER(s(quote(z0))) → c47(S(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.22
PROPER(s(0)) → c47(S(ok(0)))
419.73/127.22
PROPER(s(nil)) → c47(S(ok(nil)))
419.73/127.22
PROPER(s(01)) → c47(S(ok(01)))
419.73/127.22
PROPER(dbls(dbl(z0))) → c48(DBLS(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.22
PROPER(dbls(s(z0))) → c48(DBLS(s(proper(z0))), PROPER(s(z0)))
419.73/127.22
PROPER(dbls(dbls(z0))) → c48(DBLS(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.22
PROPER(dbls(cons(z0, z1))) → c48(DBLS(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.22
PROPER(dbls(sel(z0, z1))) → c48(DBLS(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.22
PROPER(dbls(indx(z0, z1))) → c48(DBLS(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.22
PROPER(dbls(from(z0))) → c48(DBLS(from(proper(z0))), PROPER(from(z0)))
419.73/127.22
PROPER(dbls(dbl1(z0))) → c48(DBLS(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.22
PROPER(dbls(s1(z0))) → c48(DBLS(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.22
PROPER(dbls(sel1(z0, z1))) → c48(DBLS(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.22
PROPER(dbls(quote(z0))) → c48(DBLS(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.22
PROPER(dbls(0)) → c48(DBLS(ok(0)))
419.73/127.22
PROPER(dbls(nil)) → c48(DBLS(ok(nil)))
419.73/127.22
PROPER(dbls(01)) → c48(DBLS(ok(01)))
419.73/127.22
PROPER(cons(x0, dbl(z0))) → c50(CONS(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.22
PROPER(cons(x0, s(z0))) → c50(CONS(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.22
PROPER(cons(x0, dbls(z0))) → c50(CONS(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.22
PROPER(cons(x0, cons(z0, z1))) → c50(CONS(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.22
PROPER(cons(x0, sel(z0, z1))) → c50(CONS(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.22
PROPER(cons(x0, indx(z0, z1))) → c50(CONS(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.22
PROPER(cons(x0, from(z0))) → c50(CONS(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.22
PROPER(cons(x0, dbl1(z0))) → c50(CONS(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.22
PROPER(cons(x0, s1(z0))) → c50(CONS(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.22
PROPER(cons(x0, sel1(z0, z1))) → c50(CONS(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.22
PROPER(cons(x0, quote(z0))) → c50(CONS(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.22
PROPER(cons(dbl(z0), x1)) → c50(CONS(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.22
PROPER(cons(s(z0), x1)) → c50(CONS(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.22
PROPER(cons(dbls(z0), x1)) → c50(CONS(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.22
PROPER(cons(cons(z0, z1), x1)) → c50(CONS(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.22
PROPER(cons(sel(z0, z1), x1)) → c50(CONS(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.22
PROPER(cons(indx(z0, z1), x1)) → c50(CONS(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.22
PROPER(cons(from(z0), x1)) → c50(CONS(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.22
PROPER(cons(dbl1(z0), x1)) → c50(CONS(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.22
PROPER(cons(s1(z0), x1)) → c50(CONS(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.22
PROPER(cons(sel1(z0, z1), x1)) → c50(CONS(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.22
PROPER(cons(quote(z0), x1)) → c50(CONS(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.22
PROPER(cons(x0, 0)) → c50(CONS(proper(x0), ok(0)), PROPER(x0))
419.73/127.22
PROPER(cons(x0, nil)) → c50(CONS(proper(x0), ok(nil)), PROPER(x0))
419.73/127.22
PROPER(cons(x0, 01)) → c50(CONS(proper(x0), ok(01)), PROPER(x0))
419.73/127.22
PROPER(cons(0, x1)) → c50(CONS(ok(0), proper(x1)), PROPER(x1))
419.73/127.22
PROPER(cons(nil, x1)) → c50(CONS(ok(nil), proper(x1)), PROPER(x1))
419.73/127.22
PROPER(cons(01, x1)) → c50(CONS(ok(01), proper(x1)), PROPER(x1))
419.73/127.22
PROPER(sel(x0, dbl(z0))) → c51(SEL(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.22
PROPER(sel(x0, s(z0))) → c51(SEL(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.22
PROPER(sel(x0, dbls(z0))) → c51(SEL(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.22
PROPER(sel(x0, cons(z0, z1))) → c51(SEL(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.22
PROPER(sel(x0, sel(z0, z1))) → c51(SEL(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.22
PROPER(sel(x0, indx(z0, z1))) → c51(SEL(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.22
PROPER(sel(x0, from(z0))) → c51(SEL(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.22
PROPER(sel(x0, dbl1(z0))) → c51(SEL(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.22
PROPER(sel(x0, s1(z0))) → c51(SEL(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.22
PROPER(sel(x0, sel1(z0, z1))) → c51(SEL(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.22
PROPER(sel(x0, quote(z0))) → c51(SEL(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.22
PROPER(sel(dbl(z0), x1)) → c51(SEL(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.22
PROPER(sel(s(z0), x1)) → c51(SEL(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.22
PROPER(sel(dbls(z0), x1)) → c51(SEL(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.22
PROPER(sel(cons(z0, z1), x1)) → c51(SEL(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.22
PROPER(sel(sel(z0, z1), x1)) → c51(SEL(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.22
PROPER(sel(indx(z0, z1), x1)) → c51(SEL(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.22
PROPER(sel(from(z0), x1)) → c51(SEL(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.22
PROPER(sel(dbl1(z0), x1)) → c51(SEL(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.22
PROPER(sel(s1(z0), x1)) → c51(SEL(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.22
PROPER(sel(sel1(z0, z1), x1)) → c51(SEL(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.22
PROPER(sel(quote(z0), x1)) → c51(SEL(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.22
PROPER(sel(x0, 0)) → c51(SEL(proper(x0), ok(0)), PROPER(x0))
419.73/127.22
PROPER(sel(x0, nil)) → c51(SEL(proper(x0), ok(nil)), PROPER(x0))
419.73/127.22
PROPER(sel(x0, 01)) → c51(SEL(proper(x0), ok(01)), PROPER(x0))
419.73/127.22
PROPER(sel(0, x1)) → c51(SEL(ok(0), proper(x1)), PROPER(x1))
419.73/127.22
PROPER(sel(nil, x1)) → c51(SEL(ok(nil), proper(x1)), PROPER(x1))
419.73/127.22
PROPER(sel(01, x1)) → c51(SEL(ok(01), proper(x1)), PROPER(x1))
S tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.73/127.22
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.73/127.22
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.73/127.22
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.73/127.22
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.73/127.22
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.73/127.22
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.73/127.22
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.73/127.22
DBL(mark(z0)) → c27(DBL(z0))
419.73/127.22
DBL(ok(z0)) → c28(DBL(z0))
419.73/127.22
DBLS(mark(z0)) → c29(DBLS(z0))
419.73/127.22
DBLS(ok(z0)) → c30(DBLS(z0))
419.73/127.22
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.73/127.22
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.73/127.22
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.73/127.22
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.73/127.22
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.73/127.22
DBL1(mark(z0)) → c36(DBL1(z0))
419.73/127.22
DBL1(ok(z0)) → c37(DBL1(z0))
419.73/127.22
S1(mark(z0)) → c38(S1(z0))
419.73/127.22
S1(ok(z0)) → c39(S1(z0))
419.73/127.22
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.73/127.22
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.73/127.22
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.73/127.22
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.73/127.22
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.73/127.22
PROPER(indx(z0, z1)) → c52(INDX(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.73/127.22
PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
419.73/127.22
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
419.73/127.22
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
419.73/127.22
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.73/127.22
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
419.73/127.22
S(ok(z0)) → c59(S(z0))
419.73/127.22
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.73/127.22
FROM(ok(z0)) → c61(FROM(z0))
419.73/127.22
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
419.73/127.22
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.73/127.22
ACTIVE(from(z0)) → c8(S(z0))
419.73/127.22
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.73/127.22
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.73/127.22
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.73/127.22
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.73/127.22
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.73/127.22
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.73/127.22
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.73/127.22
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.73/127.22
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.73/127.22
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.73/127.22
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.73/127.22
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.73/127.22
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.73/127.22
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.73/127.22
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.22
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.22
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.22
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.22
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.22
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.22
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.22
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.22
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.22
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.22
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.22
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.22
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.22
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.22
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.22
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.22
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.73/127.22
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.73/127.22
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.73/127.22
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.73/127.22
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.73/127.22
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.22
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.22
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.22
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.22
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.22
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.22
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.22
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.22
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.22
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.22
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.22
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.22
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.22
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.22
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.22
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.22
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.73/127.22
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.73/127.22
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.73/127.22
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.22
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.22
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.73/127.22
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.73/127.22
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.22
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.22
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.73/127.22
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.73/127.22
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.22
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.22
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.22
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.22
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.73/127.22
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.73/127.22
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.73/127.22
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.73/127.22
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.73/127.22
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.73/127.22
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.73/127.22
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.73/127.22
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.73/127.22
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.73/127.22
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.73/127.22
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.73/127.22
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.73/127.22
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.73/127.22
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.73/127.22
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.73/127.22
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.73/127.22
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.22
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.22
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.22
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.22
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.73/127.22
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.73/127.22
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.73/127.22
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.73/127.22
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.73/127.22
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.22
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.73/127.22
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.73/127.22
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.22
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.22
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.22
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.22
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.22
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.22
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.22
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.22
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.22
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.22
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.22
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.22
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.22
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.22
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.22
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.22
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.73/127.22
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.73/127.22
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.22
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.73/127.22
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.73/127.22
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.73/127.22
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.73/127.22
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.73/127.22
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.22
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.73/127.22
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.22
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.73/127.22
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.22
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.73/127.22
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.73/127.22
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.22
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.73/127.22
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.22
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.22
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.73/127.22
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.73/127.22
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.73/127.22
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.22
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.22
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.22
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.22
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.22
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.22
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.22
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.22
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.22
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.22
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.22
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.22
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.22
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.22
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.22
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.22
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.22
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.73/127.22
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.73/127.22
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.73/127.22
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.73/127.22
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.73/127.22
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.73/127.22
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.22
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.73/127.22
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.22
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.22
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.73/127.22
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.73/127.22
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.73/127.22
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.73/127.22
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.22
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.22
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.22
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.22
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.22
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.22
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.22
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.22
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.22
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.22
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.22
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.22
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.22
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.22
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.22
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.22
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.73/127.22
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.73/127.22
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.22
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.73/127.22
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.73/127.22
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.73/127.22
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.73/127.22
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.73/127.22
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.73/127.22
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.73/127.22
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.73/127.22
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.22
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.73/127.22
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.22
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.73/127.22
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.73/127.22
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.73/127.22
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.22
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.73/127.22
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.22
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.73/127.22
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.73/127.22
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.22
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.73/127.22
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.22
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.22
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.73/127.22
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.73/127.22
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.73/127.22
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.73/127.22
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.73/127.22
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.22
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.22
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.73/127.22
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.22
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.22
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.22
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.22
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.73/127.22
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.22
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.22
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.22
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.22
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.73/127.22
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.73/127.22
PROPER(dbl(01)) → c45(DBL(ok(01)))
419.73/127.22
PROPER(s(dbl(z0))) → c47(S(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.22
PROPER(s(s(z0))) → c47(S(s(proper(z0))), PROPER(s(z0)))
419.73/127.22
PROPER(s(dbls(z0))) → c47(S(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.22
PROPER(s(cons(z0, z1))) → c47(S(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.22
PROPER(s(sel(z0, z1))) → c47(S(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.22
PROPER(s(indx(z0, z1))) → c47(S(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.22
PROPER(s(from(z0))) → c47(S(from(proper(z0))), PROPER(from(z0)))
419.73/127.22
PROPER(s(dbl1(z0))) → c47(S(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.22
PROPER(s(s1(z0))) → c47(S(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.22
PROPER(s(sel1(z0, z1))) → c47(S(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.22
PROPER(s(quote(z0))) → c47(S(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.22
PROPER(s(0)) → c47(S(ok(0)))
419.73/127.22
PROPER(s(nil)) → c47(S(ok(nil)))
419.73/127.22
PROPER(s(01)) → c47(S(ok(01)))
419.73/127.22
PROPER(dbls(dbl(z0))) → c48(DBLS(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.22
PROPER(dbls(s(z0))) → c48(DBLS(s(proper(z0))), PROPER(s(z0)))
419.73/127.22
PROPER(dbls(dbls(z0))) → c48(DBLS(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.22
PROPER(dbls(cons(z0, z1))) → c48(DBLS(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.22
PROPER(dbls(sel(z0, z1))) → c48(DBLS(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.22
PROPER(dbls(indx(z0, z1))) → c48(DBLS(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.22
PROPER(dbls(from(z0))) → c48(DBLS(from(proper(z0))), PROPER(from(z0)))
419.73/127.22
PROPER(dbls(dbl1(z0))) → c48(DBLS(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.22
PROPER(dbls(s1(z0))) → c48(DBLS(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.22
PROPER(dbls(sel1(z0, z1))) → c48(DBLS(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.22
PROPER(dbls(quote(z0))) → c48(DBLS(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.22
PROPER(dbls(0)) → c48(DBLS(ok(0)))
419.73/127.22
PROPER(dbls(nil)) → c48(DBLS(ok(nil)))
419.73/127.22
PROPER(dbls(01)) → c48(DBLS(ok(01)))
419.73/127.22
PROPER(cons(x0, dbl(z0))) → c50(CONS(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.22
PROPER(cons(x0, s(z0))) → c50(CONS(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.22
PROPER(cons(x0, dbls(z0))) → c50(CONS(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.22
PROPER(cons(x0, cons(z0, z1))) → c50(CONS(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.22
PROPER(cons(x0, sel(z0, z1))) → c50(CONS(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.22
PROPER(cons(x0, indx(z0, z1))) → c50(CONS(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.22
PROPER(cons(x0, from(z0))) → c50(CONS(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.22
PROPER(cons(x0, dbl1(z0))) → c50(CONS(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.22
PROPER(cons(x0, s1(z0))) → c50(CONS(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.22
PROPER(cons(x0, sel1(z0, z1))) → c50(CONS(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.22
PROPER(cons(x0, quote(z0))) → c50(CONS(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.22
PROPER(cons(dbl(z0), x1)) → c50(CONS(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.22
PROPER(cons(s(z0), x1)) → c50(CONS(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.22
PROPER(cons(dbls(z0), x1)) → c50(CONS(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.22
PROPER(cons(cons(z0, z1), x1)) → c50(CONS(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.22
PROPER(cons(sel(z0, z1), x1)) → c50(CONS(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.22
PROPER(cons(indx(z0, z1), x1)) → c50(CONS(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.22
PROPER(cons(from(z0), x1)) → c50(CONS(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.22
PROPER(cons(dbl1(z0), x1)) → c50(CONS(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.22
PROPER(cons(s1(z0), x1)) → c50(CONS(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.22
PROPER(cons(sel1(z0, z1), x1)) → c50(CONS(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.22
PROPER(cons(quote(z0), x1)) → c50(CONS(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.22
PROPER(cons(x0, 0)) → c50(CONS(proper(x0), ok(0)), PROPER(x0))
419.73/127.22
PROPER(cons(x0, nil)) → c50(CONS(proper(x0), ok(nil)), PROPER(x0))
419.73/127.22
PROPER(cons(x0, 01)) → c50(CONS(proper(x0), ok(01)), PROPER(x0))
419.73/127.22
PROPER(cons(0, x1)) → c50(CONS(ok(0), proper(x1)), PROPER(x1))
419.73/127.22
PROPER(cons(nil, x1)) → c50(CONS(ok(nil), proper(x1)), PROPER(x1))
419.73/127.22
PROPER(cons(01, x1)) → c50(CONS(ok(01), proper(x1)), PROPER(x1))
419.73/127.22
PROPER(sel(x0, dbl(z0))) → c51(SEL(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.22
PROPER(sel(x0, s(z0))) → c51(SEL(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.22
PROPER(sel(x0, dbls(z0))) → c51(SEL(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.22
PROPER(sel(x0, cons(z0, z1))) → c51(SEL(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.22
PROPER(sel(x0, sel(z0, z1))) → c51(SEL(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.22
PROPER(sel(x0, indx(z0, z1))) → c51(SEL(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.22
PROPER(sel(x0, from(z0))) → c51(SEL(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.22
PROPER(sel(x0, dbl1(z0))) → c51(SEL(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.22
PROPER(sel(x0, s1(z0))) → c51(SEL(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.22
PROPER(sel(x0, sel1(z0, z1))) → c51(SEL(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.22
PROPER(sel(x0, quote(z0))) → c51(SEL(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.22
PROPER(sel(dbl(z0), x1)) → c51(SEL(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.22
PROPER(sel(s(z0), x1)) → c51(SEL(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.22
PROPER(sel(dbls(z0), x1)) → c51(SEL(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.22
PROPER(sel(cons(z0, z1), x1)) → c51(SEL(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.22
PROPER(sel(sel(z0, z1), x1)) → c51(SEL(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.22
PROPER(sel(indx(z0, z1), x1)) → c51(SEL(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.22
PROPER(sel(from(z0), x1)) → c51(SEL(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.22
PROPER(sel(dbl1(z0), x1)) → c51(SEL(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.22
PROPER(sel(s1(z0), x1)) → c51(SEL(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.22
PROPER(sel(sel1(z0, z1), x1)) → c51(SEL(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.22
PROPER(sel(quote(z0), x1)) → c51(SEL(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.22
PROPER(sel(x0, 0)) → c51(SEL(proper(x0), ok(0)), PROPER(x0))
419.73/127.22
PROPER(sel(x0, nil)) → c51(SEL(proper(x0), ok(nil)), PROPER(x0))
419.73/127.22
PROPER(sel(x0, 01)) → c51(SEL(proper(x0), ok(01)), PROPER(x0))
419.73/127.22
PROPER(sel(0, x1)) → c51(SEL(ok(0), proper(x1)), PROPER(x1))
419.73/127.22
PROPER(sel(nil, x1)) → c51(SEL(ok(nil), proper(x1)), PROPER(x1))
419.73/127.22
PROPER(sel(01, x1)) → c51(SEL(ok(01), proper(x1)), PROPER(x1))
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
ACTIVE, DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, PROPER, S, CONS, FROM, TOP
Compound Symbols:
c5, c12, c15, c16, c19, c20, c24, c25, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c52, c53, c54, c56, c57, c58, c59, c60, c61, c62, c63, c8, c, c17, c17, c1, c18, c18, c2, c21, c21, c3, c22, c22, c4, c23, c23, c6, c26, c26, c7, c45, c45, c47, c47, c48, c48, c50, c50, c51, c51
419.73/127.22
419.73/127.22
(63) CdtNarrowingProof (BOTH BOUNDS(ID, ID) transformation)
Use narrowing to replace
PROPER(
indx(
z0,
z1)) →
c52(
INDX(
proper(
z0),
proper(
z1)),
PROPER(
z0),
PROPER(
z1)) by
PROPER(indx(x0, dbl(z0))) → c52(INDX(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.22
PROPER(indx(x0, 0)) → c52(INDX(proper(x0), ok(0)), PROPER(x0), PROPER(0))
419.73/127.22
PROPER(indx(x0, s(z0))) → c52(INDX(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.22
PROPER(indx(x0, dbls(z0))) → c52(INDX(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.22
PROPER(indx(x0, nil)) → c52(INDX(proper(x0), ok(nil)), PROPER(x0), PROPER(nil))
419.73/127.22
PROPER(indx(x0, cons(z0, z1))) → c52(INDX(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.22
PROPER(indx(x0, sel(z0, z1))) → c52(INDX(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.22
PROPER(indx(x0, indx(z0, z1))) → c52(INDX(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.22
PROPER(indx(x0, from(z0))) → c52(INDX(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.22
PROPER(indx(x0, dbl1(z0))) → c52(INDX(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.22
PROPER(indx(x0, 01)) → c52(INDX(proper(x0), ok(01)), PROPER(x0), PROPER(01))
419.73/127.22
PROPER(indx(x0, s1(z0))) → c52(INDX(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.22
PROPER(indx(x0, sel1(z0, z1))) → c52(INDX(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.22
PROPER(indx(x0, quote(z0))) → c52(INDX(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.22
PROPER(indx(dbl(z0), x1)) → c52(INDX(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.22
PROPER(indx(0, x1)) → c52(INDX(ok(0), proper(x1)), PROPER(0), PROPER(x1))
419.73/127.22
PROPER(indx(s(z0), x1)) → c52(INDX(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.22
PROPER(indx(dbls(z0), x1)) → c52(INDX(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.22
PROPER(indx(nil, x1)) → c52(INDX(ok(nil), proper(x1)), PROPER(nil), PROPER(x1))
419.73/127.22
PROPER(indx(cons(z0, z1), x1)) → c52(INDX(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.22
PROPER(indx(sel(z0, z1), x1)) → c52(INDX(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.22
PROPER(indx(indx(z0, z1), x1)) → c52(INDX(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.22
PROPER(indx(from(z0), x1)) → c52(INDX(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.22
PROPER(indx(dbl1(z0), x1)) → c52(INDX(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.22
PROPER(indx(01, x1)) → c52(INDX(ok(01), proper(x1)), PROPER(01), PROPER(x1))
419.73/127.22
PROPER(indx(s1(z0), x1)) → c52(INDX(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.22
PROPER(indx(sel1(z0, z1), x1)) → c52(INDX(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.22
PROPER(indx(quote(z0), x1)) → c52(INDX(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.22
419.73/127.22
(64) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
419.73/127.22
active(dbl(s(z0))) → mark(s(s(dbl(z0))))
419.73/127.22
active(dbls(nil)) → mark(nil)
419.73/127.22
active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
419.73/127.22
active(sel(0, cons(z0, z1))) → mark(z0)
419.73/127.22
active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
419.73/127.22
active(indx(nil, z0)) → mark(nil)
419.73/127.22
active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
419.73/127.22
active(from(z0)) → mark(cons(z0, from(s(z0))))
419.73/127.22
active(dbl1(0)) → mark(01)
419.73/127.22
active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
419.73/127.22
active(sel1(0, cons(z0, z1))) → mark(z0)
419.73/127.22
active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
419.73/127.22
active(quote(0)) → mark(01)
419.73/127.22
active(quote(s(z0))) → mark(s1(quote(z0)))
419.73/127.22
active(quote(dbl(z0))) → mark(dbl1(z0))
419.73/127.22
active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
419.73/127.22
active(dbl(z0)) → dbl(active(z0))
419.73/127.22
active(dbls(z0)) → dbls(active(z0))
419.73/127.22
active(sel(z0, z1)) → sel(active(z0), z1)
419.73/127.22
active(sel(z0, z1)) → sel(z0, active(z1))
419.73/127.22
active(indx(z0, z1)) → indx(active(z0), z1)
419.73/127.22
active(dbl1(z0)) → dbl1(active(z0))
419.73/127.22
active(s1(z0)) → s1(active(z0))
419.73/127.22
active(sel1(z0, z1)) → sel1(active(z0), z1)
419.73/127.22
active(sel1(z0, z1)) → sel1(z0, active(z1))
419.73/127.22
active(quote(z0)) → quote(active(z0))
419.73/127.22
dbl(mark(z0)) → mark(dbl(z0))
419.73/127.22
dbl(ok(z0)) → ok(dbl(z0))
419.73/127.22
dbls(mark(z0)) → mark(dbls(z0))
419.73/127.22
dbls(ok(z0)) → ok(dbls(z0))
419.73/127.22
sel(mark(z0), z1) → mark(sel(z0, z1))
419.73/127.22
sel(z0, mark(z1)) → mark(sel(z0, z1))
419.73/127.22
sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
419.73/127.22
indx(mark(z0), z1) → mark(indx(z0, z1))
419.73/127.22
indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
419.73/127.22
dbl1(mark(z0)) → mark(dbl1(z0))
419.73/127.22
dbl1(ok(z0)) → ok(dbl1(z0))
419.73/127.22
s1(mark(z0)) → mark(s1(z0))
419.73/127.22
s1(ok(z0)) → ok(s1(z0))
419.73/127.22
sel1(mark(z0), z1) → mark(sel1(z0, z1))
419.73/127.22
sel1(z0, mark(z1)) → mark(sel1(z0, z1))
419.73/127.22
sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
419.73/127.22
quote(mark(z0)) → mark(quote(z0))
419.73/127.22
quote(ok(z0)) → ok(quote(z0))
419.73/127.22
proper(dbl(z0)) → dbl(proper(z0))
419.73/127.22
proper(0) → ok(0)
419.73/127.22
proper(s(z0)) → s(proper(z0))
419.73/127.22
proper(dbls(z0)) → dbls(proper(z0))
419.73/127.22
proper(nil) → ok(nil)
419.73/127.22
proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
419.73/127.22
proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
419.73/127.22
proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
419.73/127.22
proper(from(z0)) → from(proper(z0))
419.73/127.22
proper(dbl1(z0)) → dbl1(proper(z0))
419.73/127.22
proper(01) → ok(01)
419.73/127.22
proper(s1(z0)) → s1(proper(z0))
419.73/127.22
proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
419.73/127.22
proper(quote(z0)) → quote(proper(z0))
419.73/127.22
s(ok(z0)) → ok(s(z0))
419.73/127.22
cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
419.73/127.22
from(ok(z0)) → ok(from(z0))
419.73/127.22
top(mark(z0)) → top(proper(z0))
419.73/127.22
top(ok(z0)) → top(active(z0))
Tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.73/127.22
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.73/127.22
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.73/127.22
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.73/127.22
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.73/127.22
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.73/127.22
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.73/127.22
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.73/127.22
DBL(mark(z0)) → c27(DBL(z0))
419.73/127.22
DBL(ok(z0)) → c28(DBL(z0))
419.73/127.22
DBLS(mark(z0)) → c29(DBLS(z0))
419.73/127.22
DBLS(ok(z0)) → c30(DBLS(z0))
419.73/127.22
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.73/127.22
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.73/127.22
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.73/127.22
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.73/127.22
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.73/127.22
DBL1(mark(z0)) → c36(DBL1(z0))
419.73/127.22
DBL1(ok(z0)) → c37(DBL1(z0))
419.73/127.22
S1(mark(z0)) → c38(S1(z0))
419.73/127.22
S1(ok(z0)) → c39(S1(z0))
419.73/127.22
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.73/127.22
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.73/127.22
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.73/127.22
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.73/127.22
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.73/127.22
PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
419.73/127.22
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
419.73/127.22
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
419.73/127.22
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.73/127.22
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
419.73/127.22
S(ok(z0)) → c59(S(z0))
419.73/127.22
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.73/127.22
FROM(ok(z0)) → c61(FROM(z0))
419.73/127.22
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
419.73/127.22
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.73/127.22
ACTIVE(from(z0)) → c8(S(z0))
419.73/127.22
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.73/127.22
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.73/127.22
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.73/127.22
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.73/127.22
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.73/127.22
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.73/127.22
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.73/127.22
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.73/127.22
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.73/127.22
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.73/127.22
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.73/127.22
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.73/127.22
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.73/127.22
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.73/127.22
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.22
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.22
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.22
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.22
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.22
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.22
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.22
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.22
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.22
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.22
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.22
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.22
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.22
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.22
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.22
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.22
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.73/127.22
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.73/127.22
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.73/127.22
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.73/127.22
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.73/127.22
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.22
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.22
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.22
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.22
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.22
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.22
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.22
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.22
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.22
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.22
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.22
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.22
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.22
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.22
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.22
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.22
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.73/127.22
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.73/127.22
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.73/127.22
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.22
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.22
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.73/127.22
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.73/127.22
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.22
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.22
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.73/127.22
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.73/127.22
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.22
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.22
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.22
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.22
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.73/127.22
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.73/127.22
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.73/127.22
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.73/127.22
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.73/127.22
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.73/127.22
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.73/127.22
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.73/127.22
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.73/127.22
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.73/127.22
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.73/127.22
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.73/127.22
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.73/127.22
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.73/127.22
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.73/127.22
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.73/127.22
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.73/127.22
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.22
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.22
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.22
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.22
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.73/127.22
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.73/127.22
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.73/127.22
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.73/127.22
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.73/127.22
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.22
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.73/127.22
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.73/127.22
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.22
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.22
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.22
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.22
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.22
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.22
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.22
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.22
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.22
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.22
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.22
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.22
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.22
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.22
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.22
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.22
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.73/127.22
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.73/127.22
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.22
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.73/127.22
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.73/127.22
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.73/127.22
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.73/127.22
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.73/127.22
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.22
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.73/127.22
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.22
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.73/127.22
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.22
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.73/127.22
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.73/127.22
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.22
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.73/127.22
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.22
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.22
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.73/127.22
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.73/127.22
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.73/127.22
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.22
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.22
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.22
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.22
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.22
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.22
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.22
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.22
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.22
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.22
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.22
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.22
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.22
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.22
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.22
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.22
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.22
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.73/127.22
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.73/127.22
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.73/127.22
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.73/127.22
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.73/127.22
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.73/127.22
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.22
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.73/127.22
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.22
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.22
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.73/127.22
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.73/127.22
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.73/127.22
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.73/127.22
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.22
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.22
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.22
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.22
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.22
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.22
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.22
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.22
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.22
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.22
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.22
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.22
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.22
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.22
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.22
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.22
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.73/127.22
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.73/127.22
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.22
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.73/127.22
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.73/127.22
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.73/127.22
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.73/127.22
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.73/127.22
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.73/127.22
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.73/127.22
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.73/127.22
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.22
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.73/127.22
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.22
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.73/127.22
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.73/127.22
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.73/127.22
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.22
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.73/127.22
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.22
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.73/127.22
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.73/127.22
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.22
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.73/127.22
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.22
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.22
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.73/127.22
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.73/127.22
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.73/127.22
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.73/127.22
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.73/127.22
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.22
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.22
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.73/127.22
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.22
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.22
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.22
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.22
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.73/127.22
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.22
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.22
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.22
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.22
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.73/127.22
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.73/127.22
PROPER(dbl(01)) → c45(DBL(ok(01)))
419.73/127.22
PROPER(s(dbl(z0))) → c47(S(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.22
PROPER(s(s(z0))) → c47(S(s(proper(z0))), PROPER(s(z0)))
419.73/127.22
PROPER(s(dbls(z0))) → c47(S(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.22
PROPER(s(cons(z0, z1))) → c47(S(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.22
PROPER(s(sel(z0, z1))) → c47(S(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.22
PROPER(s(indx(z0, z1))) → c47(S(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.22
PROPER(s(from(z0))) → c47(S(from(proper(z0))), PROPER(from(z0)))
419.73/127.22
PROPER(s(dbl1(z0))) → c47(S(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.22
PROPER(s(s1(z0))) → c47(S(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.22
PROPER(s(sel1(z0, z1))) → c47(S(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.22
PROPER(s(quote(z0))) → c47(S(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.22
PROPER(s(0)) → c47(S(ok(0)))
419.73/127.22
PROPER(s(nil)) → c47(S(ok(nil)))
419.73/127.22
PROPER(s(01)) → c47(S(ok(01)))
419.73/127.22
PROPER(dbls(dbl(z0))) → c48(DBLS(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.22
PROPER(dbls(s(z0))) → c48(DBLS(s(proper(z0))), PROPER(s(z0)))
419.73/127.22
PROPER(dbls(dbls(z0))) → c48(DBLS(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.22
PROPER(dbls(cons(z0, z1))) → c48(DBLS(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.22
PROPER(dbls(sel(z0, z1))) → c48(DBLS(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.22
PROPER(dbls(indx(z0, z1))) → c48(DBLS(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.22
PROPER(dbls(from(z0))) → c48(DBLS(from(proper(z0))), PROPER(from(z0)))
419.73/127.22
PROPER(dbls(dbl1(z0))) → c48(DBLS(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.22
PROPER(dbls(s1(z0))) → c48(DBLS(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.22
PROPER(dbls(sel1(z0, z1))) → c48(DBLS(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.22
PROPER(dbls(quote(z0))) → c48(DBLS(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.22
PROPER(dbls(0)) → c48(DBLS(ok(0)))
419.73/127.22
PROPER(dbls(nil)) → c48(DBLS(ok(nil)))
419.73/127.22
PROPER(dbls(01)) → c48(DBLS(ok(01)))
419.73/127.22
PROPER(cons(x0, dbl(z0))) → c50(CONS(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.22
PROPER(cons(x0, s(z0))) → c50(CONS(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.22
PROPER(cons(x0, dbls(z0))) → c50(CONS(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.22
PROPER(cons(x0, cons(z0, z1))) → c50(CONS(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.22
PROPER(cons(x0, sel(z0, z1))) → c50(CONS(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.22
PROPER(cons(x0, indx(z0, z1))) → c50(CONS(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.22
PROPER(cons(x0, from(z0))) → c50(CONS(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.22
PROPER(cons(x0, dbl1(z0))) → c50(CONS(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.22
PROPER(cons(x0, s1(z0))) → c50(CONS(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.22
PROPER(cons(x0, sel1(z0, z1))) → c50(CONS(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.22
PROPER(cons(x0, quote(z0))) → c50(CONS(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.22
PROPER(cons(dbl(z0), x1)) → c50(CONS(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.22
PROPER(cons(s(z0), x1)) → c50(CONS(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.22
PROPER(cons(dbls(z0), x1)) → c50(CONS(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.22
PROPER(cons(cons(z0, z1), x1)) → c50(CONS(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.22
PROPER(cons(sel(z0, z1), x1)) → c50(CONS(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.22
PROPER(cons(indx(z0, z1), x1)) → c50(CONS(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.22
PROPER(cons(from(z0), x1)) → c50(CONS(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.22
PROPER(cons(dbl1(z0), x1)) → c50(CONS(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.22
PROPER(cons(s1(z0), x1)) → c50(CONS(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.22
PROPER(cons(sel1(z0, z1), x1)) → c50(CONS(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.22
PROPER(cons(quote(z0), x1)) → c50(CONS(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.22
PROPER(cons(x0, 0)) → c50(CONS(proper(x0), ok(0)), PROPER(x0))
419.73/127.22
PROPER(cons(x0, nil)) → c50(CONS(proper(x0), ok(nil)), PROPER(x0))
419.73/127.22
PROPER(cons(x0, 01)) → c50(CONS(proper(x0), ok(01)), PROPER(x0))
419.73/127.22
PROPER(cons(0, x1)) → c50(CONS(ok(0), proper(x1)), PROPER(x1))
419.73/127.22
PROPER(cons(nil, x1)) → c50(CONS(ok(nil), proper(x1)), PROPER(x1))
419.73/127.22
PROPER(cons(01, x1)) → c50(CONS(ok(01), proper(x1)), PROPER(x1))
419.73/127.22
PROPER(sel(x0, dbl(z0))) → c51(SEL(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.22
PROPER(sel(x0, s(z0))) → c51(SEL(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.22
PROPER(sel(x0, dbls(z0))) → c51(SEL(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.22
PROPER(sel(x0, cons(z0, z1))) → c51(SEL(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.22
PROPER(sel(x0, sel(z0, z1))) → c51(SEL(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.22
PROPER(sel(x0, indx(z0, z1))) → c51(SEL(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.22
PROPER(sel(x0, from(z0))) → c51(SEL(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.22
PROPER(sel(x0, dbl1(z0))) → c51(SEL(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.22
PROPER(sel(x0, s1(z0))) → c51(SEL(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.22
PROPER(sel(x0, sel1(z0, z1))) → c51(SEL(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.22
PROPER(sel(x0, quote(z0))) → c51(SEL(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.22
PROPER(sel(dbl(z0), x1)) → c51(SEL(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.22
PROPER(sel(s(z0), x1)) → c51(SEL(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.22
PROPER(sel(dbls(z0), x1)) → c51(SEL(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.22
PROPER(sel(cons(z0, z1), x1)) → c51(SEL(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.22
PROPER(sel(sel(z0, z1), x1)) → c51(SEL(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.22
PROPER(sel(indx(z0, z1), x1)) → c51(SEL(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.22
PROPER(sel(from(z0), x1)) → c51(SEL(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.22
PROPER(sel(dbl1(z0), x1)) → c51(SEL(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.22
PROPER(sel(s1(z0), x1)) → c51(SEL(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.22
PROPER(sel(sel1(z0, z1), x1)) → c51(SEL(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.22
PROPER(sel(quote(z0), x1)) → c51(SEL(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.22
PROPER(sel(x0, 0)) → c51(SEL(proper(x0), ok(0)), PROPER(x0))
419.73/127.22
PROPER(sel(x0, nil)) → c51(SEL(proper(x0), ok(nil)), PROPER(x0))
419.73/127.22
PROPER(sel(x0, 01)) → c51(SEL(proper(x0), ok(01)), PROPER(x0))
419.73/127.22
PROPER(sel(0, x1)) → c51(SEL(ok(0), proper(x1)), PROPER(x1))
419.73/127.22
PROPER(sel(nil, x1)) → c51(SEL(ok(nil), proper(x1)), PROPER(x1))
419.73/127.22
PROPER(sel(01, x1)) → c51(SEL(ok(01), proper(x1)), PROPER(x1))
419.73/127.22
PROPER(indx(x0, dbl(z0))) → c52(INDX(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.22
PROPER(indx(x0, 0)) → c52(INDX(proper(x0), ok(0)), PROPER(x0), PROPER(0))
419.73/127.22
PROPER(indx(x0, s(z0))) → c52(INDX(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.22
PROPER(indx(x0, dbls(z0))) → c52(INDX(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.22
PROPER(indx(x0, nil)) → c52(INDX(proper(x0), ok(nil)), PROPER(x0), PROPER(nil))
419.73/127.22
PROPER(indx(x0, cons(z0, z1))) → c52(INDX(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.22
PROPER(indx(x0, sel(z0, z1))) → c52(INDX(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.22
PROPER(indx(x0, indx(z0, z1))) → c52(INDX(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.22
PROPER(indx(x0, from(z0))) → c52(INDX(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.22
PROPER(indx(x0, dbl1(z0))) → c52(INDX(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.22
PROPER(indx(x0, 01)) → c52(INDX(proper(x0), ok(01)), PROPER(x0), PROPER(01))
419.73/127.22
PROPER(indx(x0, s1(z0))) → c52(INDX(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.22
PROPER(indx(x0, sel1(z0, z1))) → c52(INDX(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.22
PROPER(indx(x0, quote(z0))) → c52(INDX(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.22
PROPER(indx(dbl(z0), x1)) → c52(INDX(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.22
PROPER(indx(0, x1)) → c52(INDX(ok(0), proper(x1)), PROPER(0), PROPER(x1))
419.73/127.22
PROPER(indx(s(z0), x1)) → c52(INDX(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.22
PROPER(indx(dbls(z0), x1)) → c52(INDX(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.22
PROPER(indx(nil, x1)) → c52(INDX(ok(nil), proper(x1)), PROPER(nil), PROPER(x1))
419.73/127.22
PROPER(indx(cons(z0, z1), x1)) → c52(INDX(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.22
PROPER(indx(sel(z0, z1), x1)) → c52(INDX(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.22
PROPER(indx(indx(z0, z1), x1)) → c52(INDX(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.22
PROPER(indx(from(z0), x1)) → c52(INDX(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.22
PROPER(indx(dbl1(z0), x1)) → c52(INDX(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.22
PROPER(indx(01, x1)) → c52(INDX(ok(01), proper(x1)), PROPER(01), PROPER(x1))
419.73/127.22
PROPER(indx(s1(z0), x1)) → c52(INDX(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.22
PROPER(indx(sel1(z0, z1), x1)) → c52(INDX(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.22
PROPER(indx(quote(z0), x1)) → c52(INDX(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
S tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.73/127.22
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.73/127.22
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.73/127.22
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.73/127.22
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.73/127.22
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.73/127.22
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.73/127.22
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.73/127.22
DBL(mark(z0)) → c27(DBL(z0))
419.73/127.22
DBL(ok(z0)) → c28(DBL(z0))
419.73/127.22
DBLS(mark(z0)) → c29(DBLS(z0))
419.73/127.22
DBLS(ok(z0)) → c30(DBLS(z0))
419.73/127.22
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.73/127.22
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.73/127.22
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.73/127.22
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.73/127.22
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.73/127.22
DBL1(mark(z0)) → c36(DBL1(z0))
419.73/127.22
DBL1(ok(z0)) → c37(DBL1(z0))
419.73/127.22
S1(mark(z0)) → c38(S1(z0))
419.73/127.22
S1(ok(z0)) → c39(S1(z0))
419.73/127.22
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.73/127.22
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.73/127.22
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.73/127.22
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.73/127.22
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.73/127.22
PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
419.73/127.22
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
419.73/127.22
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
419.73/127.22
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.73/127.22
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
419.73/127.22
S(ok(z0)) → c59(S(z0))
419.73/127.22
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.73/127.22
FROM(ok(z0)) → c61(FROM(z0))
419.73/127.22
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
419.73/127.22
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.73/127.22
ACTIVE(from(z0)) → c8(S(z0))
419.73/127.22
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.73/127.22
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.73/127.22
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.73/127.22
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.73/127.22
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.73/127.22
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.73/127.22
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.73/127.22
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.73/127.22
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.73/127.22
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.73/127.22
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.73/127.22
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.73/127.22
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.73/127.22
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.73/127.22
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.22
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.22
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.22
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.22
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.22
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.22
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.22
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.22
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.22
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.22
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.22
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.22
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.22
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.22
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.22
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.22
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.73/127.22
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.73/127.22
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.73/127.22
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.73/127.22
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.73/127.22
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.22
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.22
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.22
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.22
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.22
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.22
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.22
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.22
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.22
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.22
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.22
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.22
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.22
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.22
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.22
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.22
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.73/127.22
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.73/127.22
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.73/127.22
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.22
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.22
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.73/127.22
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.73/127.22
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.22
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.22
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.73/127.22
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.73/127.22
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.22
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.22
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.22
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.22
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.73/127.22
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.73/127.22
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.73/127.22
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.73/127.22
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.73/127.22
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.73/127.22
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.73/127.22
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.73/127.22
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.73/127.22
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.73/127.22
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.73/127.22
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.73/127.22
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.73/127.22
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.73/127.22
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.73/127.22
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.73/127.22
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.73/127.22
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.22
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.22
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.22
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.22
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.73/127.22
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.73/127.22
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.73/127.22
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.73/127.22
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.73/127.22
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.22
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.73/127.22
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.73/127.22
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.22
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.22
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.22
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.22
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.22
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.22
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.22
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.22
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.22
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.22
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.22
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.22
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.22
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.22
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.22
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.22
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.73/127.22
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.73/127.22
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.22
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.73/127.22
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.73/127.22
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.73/127.22
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.73/127.22
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.73/127.22
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.22
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.73/127.22
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.22
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.73/127.22
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.22
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.73/127.22
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.73/127.22
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.22
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.73/127.22
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.22
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.22
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.73/127.22
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.73/127.22
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.73/127.22
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.22
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.22
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.22
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.22
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.22
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.22
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.22
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.22
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.22
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.22
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.22
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.22
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.22
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.22
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.22
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.22
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.22
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.73/127.22
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.73/127.22
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.73/127.22
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.73/127.22
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.73/127.22
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.73/127.22
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.22
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.73/127.22
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.22
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.22
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.73/127.22
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.73/127.22
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.73/127.22
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.73/127.22
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.22
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.22
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.22
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.22
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.22
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.22
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.22
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.22
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.22
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.22
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.22
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.22
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.22
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.22
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.22
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.22
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.73/127.22
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.73/127.22
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.22
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.73/127.22
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.73/127.22
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.73/127.22
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.73/127.22
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.73/127.22
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.73/127.22
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.73/127.22
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.73/127.22
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.22
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.73/127.22
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.22
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.73/127.22
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.73/127.22
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.73/127.22
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.22
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.73/127.22
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.22
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.73/127.22
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.73/127.22
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.22
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.73/127.22
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.22
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.22
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.73/127.22
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.73/127.22
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.73/127.22
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.73/127.22
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.73/127.22
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.22
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.22
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.73/127.22
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.22
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.22
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.22
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.22
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.73/127.22
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.22
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.22
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.22
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.22
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.73/127.22
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.73/127.22
PROPER(dbl(01)) → c45(DBL(ok(01)))
419.73/127.22
PROPER(s(dbl(z0))) → c47(S(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.22
PROPER(s(s(z0))) → c47(S(s(proper(z0))), PROPER(s(z0)))
419.73/127.22
PROPER(s(dbls(z0))) → c47(S(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.22
PROPER(s(cons(z0, z1))) → c47(S(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.22
PROPER(s(sel(z0, z1))) → c47(S(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.22
PROPER(s(indx(z0, z1))) → c47(S(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.22
PROPER(s(from(z0))) → c47(S(from(proper(z0))), PROPER(from(z0)))
419.73/127.22
PROPER(s(dbl1(z0))) → c47(S(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.22
PROPER(s(s1(z0))) → c47(S(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.22
PROPER(s(sel1(z0, z1))) → c47(S(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.22
PROPER(s(quote(z0))) → c47(S(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.22
PROPER(s(0)) → c47(S(ok(0)))
419.73/127.22
PROPER(s(nil)) → c47(S(ok(nil)))
419.73/127.22
PROPER(s(01)) → c47(S(ok(01)))
419.73/127.22
PROPER(dbls(dbl(z0))) → c48(DBLS(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.22
PROPER(dbls(s(z0))) → c48(DBLS(s(proper(z0))), PROPER(s(z0)))
419.73/127.22
PROPER(dbls(dbls(z0))) → c48(DBLS(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.22
PROPER(dbls(cons(z0, z1))) → c48(DBLS(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.22
PROPER(dbls(sel(z0, z1))) → c48(DBLS(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.22
PROPER(dbls(indx(z0, z1))) → c48(DBLS(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.22
PROPER(dbls(from(z0))) → c48(DBLS(from(proper(z0))), PROPER(from(z0)))
419.73/127.22
PROPER(dbls(dbl1(z0))) → c48(DBLS(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.22
PROPER(dbls(s1(z0))) → c48(DBLS(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.22
PROPER(dbls(sel1(z0, z1))) → c48(DBLS(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.22
PROPER(dbls(quote(z0))) → c48(DBLS(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.22
PROPER(dbls(0)) → c48(DBLS(ok(0)))
419.73/127.22
PROPER(dbls(nil)) → c48(DBLS(ok(nil)))
419.73/127.22
PROPER(dbls(01)) → c48(DBLS(ok(01)))
419.73/127.22
PROPER(cons(x0, dbl(z0))) → c50(CONS(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.22
PROPER(cons(x0, s(z0))) → c50(CONS(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.22
PROPER(cons(x0, dbls(z0))) → c50(CONS(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.22
PROPER(cons(x0, cons(z0, z1))) → c50(CONS(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.22
PROPER(cons(x0, sel(z0, z1))) → c50(CONS(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.22
PROPER(cons(x0, indx(z0, z1))) → c50(CONS(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.22
PROPER(cons(x0, from(z0))) → c50(CONS(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.22
PROPER(cons(x0, dbl1(z0))) → c50(CONS(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.22
PROPER(cons(x0, s1(z0))) → c50(CONS(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.22
PROPER(cons(x0, sel1(z0, z1))) → c50(CONS(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.22
PROPER(cons(x0, quote(z0))) → c50(CONS(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.22
PROPER(cons(dbl(z0), x1)) → c50(CONS(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.22
PROPER(cons(s(z0), x1)) → c50(CONS(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.22
PROPER(cons(dbls(z0), x1)) → c50(CONS(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.22
PROPER(cons(cons(z0, z1), x1)) → c50(CONS(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.22
PROPER(cons(sel(z0, z1), x1)) → c50(CONS(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.22
PROPER(cons(indx(z0, z1), x1)) → c50(CONS(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.22
PROPER(cons(from(z0), x1)) → c50(CONS(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.22
PROPER(cons(dbl1(z0), x1)) → c50(CONS(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.22
PROPER(cons(s1(z0), x1)) → c50(CONS(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.22
PROPER(cons(sel1(z0, z1), x1)) → c50(CONS(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.22
PROPER(cons(quote(z0), x1)) → c50(CONS(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.22
PROPER(cons(x0, 0)) → c50(CONS(proper(x0), ok(0)), PROPER(x0))
419.73/127.22
PROPER(cons(x0, nil)) → c50(CONS(proper(x0), ok(nil)), PROPER(x0))
419.73/127.22
PROPER(cons(x0, 01)) → c50(CONS(proper(x0), ok(01)), PROPER(x0))
419.73/127.22
PROPER(cons(0, x1)) → c50(CONS(ok(0), proper(x1)), PROPER(x1))
419.73/127.22
PROPER(cons(nil, x1)) → c50(CONS(ok(nil), proper(x1)), PROPER(x1))
419.73/127.22
PROPER(cons(01, x1)) → c50(CONS(ok(01), proper(x1)), PROPER(x1))
419.73/127.22
PROPER(sel(x0, dbl(z0))) → c51(SEL(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.22
PROPER(sel(x0, s(z0))) → c51(SEL(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.22
PROPER(sel(x0, dbls(z0))) → c51(SEL(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.22
PROPER(sel(x0, cons(z0, z1))) → c51(SEL(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.22
PROPER(sel(x0, sel(z0, z1))) → c51(SEL(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.22
PROPER(sel(x0, indx(z0, z1))) → c51(SEL(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.22
PROPER(sel(x0, from(z0))) → c51(SEL(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.22
PROPER(sel(x0, dbl1(z0))) → c51(SEL(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.22
PROPER(sel(x0, s1(z0))) → c51(SEL(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.22
PROPER(sel(x0, sel1(z0, z1))) → c51(SEL(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.22
PROPER(sel(x0, quote(z0))) → c51(SEL(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.22
PROPER(sel(dbl(z0), x1)) → c51(SEL(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.22
PROPER(sel(s(z0), x1)) → c51(SEL(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.22
PROPER(sel(dbls(z0), x1)) → c51(SEL(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.22
PROPER(sel(cons(z0, z1), x1)) → c51(SEL(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.22
PROPER(sel(sel(z0, z1), x1)) → c51(SEL(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.22
PROPER(sel(indx(z0, z1), x1)) → c51(SEL(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.22
PROPER(sel(from(z0), x1)) → c51(SEL(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.22
PROPER(sel(dbl1(z0), x1)) → c51(SEL(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.22
PROPER(sel(s1(z0), x1)) → c51(SEL(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.22
PROPER(sel(sel1(z0, z1), x1)) → c51(SEL(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.22
PROPER(sel(quote(z0), x1)) → c51(SEL(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.22
PROPER(sel(x0, 0)) → c51(SEL(proper(x0), ok(0)), PROPER(x0))
419.73/127.22
PROPER(sel(x0, nil)) → c51(SEL(proper(x0), ok(nil)), PROPER(x0))
419.73/127.22
PROPER(sel(x0, 01)) → c51(SEL(proper(x0), ok(01)), PROPER(x0))
419.73/127.22
PROPER(sel(0, x1)) → c51(SEL(ok(0), proper(x1)), PROPER(x1))
419.73/127.22
PROPER(sel(nil, x1)) → c51(SEL(ok(nil), proper(x1)), PROPER(x1))
419.73/127.22
PROPER(sel(01, x1)) → c51(SEL(ok(01), proper(x1)), PROPER(x1))
419.73/127.22
PROPER(indx(x0, dbl(z0))) → c52(INDX(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.22
PROPER(indx(x0, 0)) → c52(INDX(proper(x0), ok(0)), PROPER(x0), PROPER(0))
419.73/127.22
PROPER(indx(x0, s(z0))) → c52(INDX(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.22
PROPER(indx(x0, dbls(z0))) → c52(INDX(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.22
PROPER(indx(x0, nil)) → c52(INDX(proper(x0), ok(nil)), PROPER(x0), PROPER(nil))
419.73/127.22
PROPER(indx(x0, cons(z0, z1))) → c52(INDX(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.22
PROPER(indx(x0, sel(z0, z1))) → c52(INDX(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.22
PROPER(indx(x0, indx(z0, z1))) → c52(INDX(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.22
PROPER(indx(x0, from(z0))) → c52(INDX(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.22
PROPER(indx(x0, dbl1(z0))) → c52(INDX(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.22
PROPER(indx(x0, 01)) → c52(INDX(proper(x0), ok(01)), PROPER(x0), PROPER(01))
419.73/127.22
PROPER(indx(x0, s1(z0))) → c52(INDX(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.22
PROPER(indx(x0, sel1(z0, z1))) → c52(INDX(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.22
PROPER(indx(x0, quote(z0))) → c52(INDX(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.22
PROPER(indx(dbl(z0), x1)) → c52(INDX(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.22
PROPER(indx(0, x1)) → c52(INDX(ok(0), proper(x1)), PROPER(0), PROPER(x1))
419.73/127.22
PROPER(indx(s(z0), x1)) → c52(INDX(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.22
PROPER(indx(dbls(z0), x1)) → c52(INDX(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.22
PROPER(indx(nil, x1)) → c52(INDX(ok(nil), proper(x1)), PROPER(nil), PROPER(x1))
419.73/127.22
PROPER(indx(cons(z0, z1), x1)) → c52(INDX(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.22
PROPER(indx(sel(z0, z1), x1)) → c52(INDX(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.22
PROPER(indx(indx(z0, z1), x1)) → c52(INDX(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.22
PROPER(indx(from(z0), x1)) → c52(INDX(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.22
PROPER(indx(dbl1(z0), x1)) → c52(INDX(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.22
PROPER(indx(01, x1)) → c52(INDX(ok(01), proper(x1)), PROPER(01), PROPER(x1))
419.73/127.22
PROPER(indx(s1(z0), x1)) → c52(INDX(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.22
PROPER(indx(sel1(z0, z1), x1)) → c52(INDX(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.22
PROPER(indx(quote(z0), x1)) → c52(INDX(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
ACTIVE, DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, PROPER, S, CONS, FROM, TOP
Compound Symbols:
c5, c12, c15, c16, c19, c20, c24, c25, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c53, c54, c56, c57, c58, c59, c60, c61, c62, c63, c8, c, c17, c17, c1, c18, c18, c2, c21, c21, c3, c22, c22, c4, c23, c23, c6, c26, c26, c7, c45, c45, c47, c47, c48, c48, c50, c50, c51, c51, c52
419.73/127.22
419.73/127.22
(65) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID) transformation)
Removed 6 trailing tuple parts
419.73/127.22
419.73/127.22
(66) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
419.73/127.22
active(dbl(s(z0))) → mark(s(s(dbl(z0))))
419.73/127.22
active(dbls(nil)) → mark(nil)
419.73/127.22
active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
419.73/127.22
active(sel(0, cons(z0, z1))) → mark(z0)
419.73/127.22
active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
419.73/127.22
active(indx(nil, z0)) → mark(nil)
419.73/127.22
active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
419.73/127.22
active(from(z0)) → mark(cons(z0, from(s(z0))))
419.73/127.22
active(dbl1(0)) → mark(01)
419.73/127.22
active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
419.73/127.22
active(sel1(0, cons(z0, z1))) → mark(z0)
419.73/127.22
active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
419.73/127.22
active(quote(0)) → mark(01)
419.73/127.22
active(quote(s(z0))) → mark(s1(quote(z0)))
419.73/127.22
active(quote(dbl(z0))) → mark(dbl1(z0))
419.73/127.22
active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
419.73/127.22
active(dbl(z0)) → dbl(active(z0))
419.73/127.22
active(dbls(z0)) → dbls(active(z0))
419.73/127.23
active(sel(z0, z1)) → sel(active(z0), z1)
419.73/127.23
active(sel(z0, z1)) → sel(z0, active(z1))
419.73/127.23
active(indx(z0, z1)) → indx(active(z0), z1)
419.73/127.23
active(dbl1(z0)) → dbl1(active(z0))
419.73/127.23
active(s1(z0)) → s1(active(z0))
419.73/127.23
active(sel1(z0, z1)) → sel1(active(z0), z1)
419.73/127.23
active(sel1(z0, z1)) → sel1(z0, active(z1))
419.73/127.23
active(quote(z0)) → quote(active(z0))
419.73/127.23
dbl(mark(z0)) → mark(dbl(z0))
419.73/127.23
dbl(ok(z0)) → ok(dbl(z0))
419.73/127.23
dbls(mark(z0)) → mark(dbls(z0))
419.73/127.23
dbls(ok(z0)) → ok(dbls(z0))
419.73/127.23
sel(mark(z0), z1) → mark(sel(z0, z1))
419.73/127.23
sel(z0, mark(z1)) → mark(sel(z0, z1))
419.73/127.23
sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
419.73/127.23
indx(mark(z0), z1) → mark(indx(z0, z1))
419.73/127.23
indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
419.73/127.23
dbl1(mark(z0)) → mark(dbl1(z0))
419.73/127.23
dbl1(ok(z0)) → ok(dbl1(z0))
419.73/127.23
s1(mark(z0)) → mark(s1(z0))
419.73/127.23
s1(ok(z0)) → ok(s1(z0))
419.73/127.23
sel1(mark(z0), z1) → mark(sel1(z0, z1))
419.73/127.23
sel1(z0, mark(z1)) → mark(sel1(z0, z1))
419.73/127.23
sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
419.73/127.23
quote(mark(z0)) → mark(quote(z0))
419.73/127.23
quote(ok(z0)) → ok(quote(z0))
419.73/127.23
proper(dbl(z0)) → dbl(proper(z0))
419.73/127.23
proper(0) → ok(0)
419.73/127.23
proper(s(z0)) → s(proper(z0))
419.73/127.23
proper(dbls(z0)) → dbls(proper(z0))
419.73/127.23
proper(nil) → ok(nil)
419.73/127.23
proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
419.73/127.23
proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
419.73/127.23
proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
419.73/127.23
proper(from(z0)) → from(proper(z0))
419.73/127.23
proper(dbl1(z0)) → dbl1(proper(z0))
419.73/127.23
proper(01) → ok(01)
419.73/127.23
proper(s1(z0)) → s1(proper(z0))
419.73/127.23
proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
419.73/127.23
proper(quote(z0)) → quote(proper(z0))
419.73/127.23
s(ok(z0)) → ok(s(z0))
419.73/127.23
cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
419.73/127.23
from(ok(z0)) → ok(from(z0))
419.73/127.23
top(mark(z0)) → top(proper(z0))
419.73/127.23
top(ok(z0)) → top(active(z0))
Tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.73/127.23
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.73/127.23
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.73/127.23
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.73/127.23
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.73/127.23
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.73/127.23
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.73/127.23
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.73/127.23
DBL(mark(z0)) → c27(DBL(z0))
419.73/127.23
DBL(ok(z0)) → c28(DBL(z0))
419.73/127.23
DBLS(mark(z0)) → c29(DBLS(z0))
419.73/127.23
DBLS(ok(z0)) → c30(DBLS(z0))
419.73/127.23
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.73/127.23
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.73/127.23
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.73/127.23
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.73/127.23
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.73/127.23
DBL1(mark(z0)) → c36(DBL1(z0))
419.73/127.23
DBL1(ok(z0)) → c37(DBL1(z0))
419.73/127.23
S1(mark(z0)) → c38(S1(z0))
419.73/127.23
S1(ok(z0)) → c39(S1(z0))
419.73/127.23
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.73/127.23
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.73/127.23
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.73/127.23
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.73/127.23
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.73/127.23
PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
419.73/127.23
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
419.73/127.23
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
419.73/127.23
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.73/127.23
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
419.73/127.23
S(ok(z0)) → c59(S(z0))
419.73/127.23
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.73/127.23
FROM(ok(z0)) → c61(FROM(z0))
419.73/127.23
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
419.73/127.23
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.73/127.23
ACTIVE(from(z0)) → c8(S(z0))
419.73/127.23
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.73/127.23
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.73/127.23
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.73/127.23
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.73/127.23
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.73/127.23
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.73/127.23
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.73/127.23
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.73/127.23
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.73/127.23
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.73/127.23
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.73/127.23
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.73/127.23
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.73/127.23
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.73/127.23
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.23
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.23
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.23
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.23
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.23
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.23
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.23
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.23
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.23
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.23
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.23
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.23
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.23
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.23
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.23
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.23
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.73/127.23
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.73/127.23
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.73/127.23
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.73/127.23
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.73/127.23
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.23
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.23
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.23
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.23
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.23
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.23
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.23
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.23
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.23
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.23
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.23
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.23
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.23
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.23
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.23
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.23
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.73/127.23
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.73/127.23
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.73/127.23
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.23
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.23
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.73/127.23
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.73/127.23
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.23
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.23
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.73/127.23
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.73/127.23
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.23
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.23
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.23
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.23
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.73/127.23
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.73/127.23
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.73/127.23
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.73/127.23
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.73/127.23
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.73/127.23
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.73/127.23
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.73/127.23
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.73/127.23
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.73/127.23
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.73/127.23
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.73/127.23
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.73/127.23
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.73/127.23
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.73/127.23
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.73/127.23
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.73/127.23
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.23
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.23
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.23
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.23
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.73/127.23
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.73/127.23
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.73/127.23
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.73/127.23
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.73/127.23
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.23
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.73/127.23
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.73/127.23
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.23
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.23
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.23
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.23
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.23
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.23
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.23
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.23
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.23
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.23
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.23
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.23
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.23
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.23
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.23
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.23
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.73/127.23
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.73/127.23
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.23
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.73/127.23
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.73/127.23
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.73/127.23
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.73/127.23
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.73/127.23
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.23
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.73/127.23
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.23
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.73/127.23
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.23
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.73/127.23
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.73/127.23
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.23
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.73/127.23
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.23
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.23
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.73/127.23
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.73/127.23
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.73/127.23
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.23
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.23
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.23
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.23
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.23
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.23
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.23
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.23
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.23
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.23
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.23
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.23
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.23
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.23
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.23
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.23
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.23
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.73/127.23
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.73/127.23
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.73/127.23
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.73/127.23
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.73/127.23
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.73/127.23
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.23
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.73/127.23
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.23
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.23
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.73/127.23
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.73/127.23
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.73/127.23
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.73/127.23
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.23
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.23
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.23
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.23
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.23
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.23
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.23
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.23
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.23
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.23
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.23
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.23
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.23
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.23
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.23
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.23
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.73/127.23
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.73/127.23
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.23
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.73/127.23
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.73/127.23
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.73/127.23
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.73/127.23
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.73/127.23
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.73/127.23
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.73/127.23
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.73/127.23
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.23
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.73/127.23
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.23
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.73/127.23
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.73/127.23
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.73/127.23
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.23
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.73/127.23
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.23
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.73/127.23
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.73/127.23
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.23
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.73/127.23
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.23
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.23
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.73/127.23
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.73/127.23
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.73/127.23
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.73/127.23
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.73/127.23
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.23
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.23
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.73/127.23
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.23
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.23
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.23
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.23
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.73/127.23
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.23
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.23
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.23
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.23
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.73/127.23
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.73/127.23
PROPER(dbl(01)) → c45(DBL(ok(01)))
419.73/127.23
PROPER(s(dbl(z0))) → c47(S(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.23
PROPER(s(s(z0))) → c47(S(s(proper(z0))), PROPER(s(z0)))
419.73/127.23
PROPER(s(dbls(z0))) → c47(S(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.23
PROPER(s(cons(z0, z1))) → c47(S(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.23
PROPER(s(sel(z0, z1))) → c47(S(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.23
PROPER(s(indx(z0, z1))) → c47(S(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.23
PROPER(s(from(z0))) → c47(S(from(proper(z0))), PROPER(from(z0)))
419.73/127.23
PROPER(s(dbl1(z0))) → c47(S(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.23
PROPER(s(s1(z0))) → c47(S(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.23
PROPER(s(sel1(z0, z1))) → c47(S(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.23
PROPER(s(quote(z0))) → c47(S(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.23
PROPER(s(0)) → c47(S(ok(0)))
419.73/127.23
PROPER(s(nil)) → c47(S(ok(nil)))
419.73/127.23
PROPER(s(01)) → c47(S(ok(01)))
419.73/127.23
PROPER(dbls(dbl(z0))) → c48(DBLS(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.23
PROPER(dbls(s(z0))) → c48(DBLS(s(proper(z0))), PROPER(s(z0)))
419.73/127.23
PROPER(dbls(dbls(z0))) → c48(DBLS(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.23
PROPER(dbls(cons(z0, z1))) → c48(DBLS(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.23
PROPER(dbls(sel(z0, z1))) → c48(DBLS(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.23
PROPER(dbls(indx(z0, z1))) → c48(DBLS(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.23
PROPER(dbls(from(z0))) → c48(DBLS(from(proper(z0))), PROPER(from(z0)))
419.73/127.23
PROPER(dbls(dbl1(z0))) → c48(DBLS(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.23
PROPER(dbls(s1(z0))) → c48(DBLS(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.23
PROPER(dbls(sel1(z0, z1))) → c48(DBLS(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.23
PROPER(dbls(quote(z0))) → c48(DBLS(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.23
PROPER(dbls(0)) → c48(DBLS(ok(0)))
419.73/127.23
PROPER(dbls(nil)) → c48(DBLS(ok(nil)))
419.73/127.23
PROPER(dbls(01)) → c48(DBLS(ok(01)))
419.73/127.23
PROPER(cons(x0, dbl(z0))) → c50(CONS(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.23
PROPER(cons(x0, s(z0))) → c50(CONS(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.23
PROPER(cons(x0, dbls(z0))) → c50(CONS(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.23
PROPER(cons(x0, cons(z0, z1))) → c50(CONS(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.23
PROPER(cons(x0, sel(z0, z1))) → c50(CONS(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.23
PROPER(cons(x0, indx(z0, z1))) → c50(CONS(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.23
PROPER(cons(x0, from(z0))) → c50(CONS(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.23
PROPER(cons(x0, dbl1(z0))) → c50(CONS(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.23
PROPER(cons(x0, s1(z0))) → c50(CONS(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.23
PROPER(cons(x0, sel1(z0, z1))) → c50(CONS(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.23
PROPER(cons(x0, quote(z0))) → c50(CONS(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.23
PROPER(cons(dbl(z0), x1)) → c50(CONS(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.23
PROPER(cons(s(z0), x1)) → c50(CONS(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.23
PROPER(cons(dbls(z0), x1)) → c50(CONS(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.23
PROPER(cons(cons(z0, z1), x1)) → c50(CONS(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.23
PROPER(cons(sel(z0, z1), x1)) → c50(CONS(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.23
PROPER(cons(indx(z0, z1), x1)) → c50(CONS(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.23
PROPER(cons(from(z0), x1)) → c50(CONS(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.23
PROPER(cons(dbl1(z0), x1)) → c50(CONS(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.23
PROPER(cons(s1(z0), x1)) → c50(CONS(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.23
PROPER(cons(sel1(z0, z1), x1)) → c50(CONS(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.23
PROPER(cons(quote(z0), x1)) → c50(CONS(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.23
PROPER(cons(x0, 0)) → c50(CONS(proper(x0), ok(0)), PROPER(x0))
419.73/127.23
PROPER(cons(x0, nil)) → c50(CONS(proper(x0), ok(nil)), PROPER(x0))
419.73/127.23
PROPER(cons(x0, 01)) → c50(CONS(proper(x0), ok(01)), PROPER(x0))
419.73/127.23
PROPER(cons(0, x1)) → c50(CONS(ok(0), proper(x1)), PROPER(x1))
419.73/127.23
PROPER(cons(nil, x1)) → c50(CONS(ok(nil), proper(x1)), PROPER(x1))
419.73/127.23
PROPER(cons(01, x1)) → c50(CONS(ok(01), proper(x1)), PROPER(x1))
419.73/127.23
PROPER(sel(x0, dbl(z0))) → c51(SEL(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.23
PROPER(sel(x0, s(z0))) → c51(SEL(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.23
PROPER(sel(x0, dbls(z0))) → c51(SEL(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.23
PROPER(sel(x0, cons(z0, z1))) → c51(SEL(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.23
PROPER(sel(x0, sel(z0, z1))) → c51(SEL(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.23
PROPER(sel(x0, indx(z0, z1))) → c51(SEL(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.23
PROPER(sel(x0, from(z0))) → c51(SEL(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.23
PROPER(sel(x0, dbl1(z0))) → c51(SEL(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.23
PROPER(sel(x0, s1(z0))) → c51(SEL(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.23
PROPER(sel(x0, sel1(z0, z1))) → c51(SEL(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.23
PROPER(sel(x0, quote(z0))) → c51(SEL(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.23
PROPER(sel(dbl(z0), x1)) → c51(SEL(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.23
PROPER(sel(s(z0), x1)) → c51(SEL(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.23
PROPER(sel(dbls(z0), x1)) → c51(SEL(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.23
PROPER(sel(cons(z0, z1), x1)) → c51(SEL(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.23
PROPER(sel(sel(z0, z1), x1)) → c51(SEL(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.23
PROPER(sel(indx(z0, z1), x1)) → c51(SEL(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.23
PROPER(sel(from(z0), x1)) → c51(SEL(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.23
PROPER(sel(dbl1(z0), x1)) → c51(SEL(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.23
PROPER(sel(s1(z0), x1)) → c51(SEL(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.23
PROPER(sel(sel1(z0, z1), x1)) → c51(SEL(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.23
PROPER(sel(quote(z0), x1)) → c51(SEL(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.23
PROPER(sel(x0, 0)) → c51(SEL(proper(x0), ok(0)), PROPER(x0))
419.73/127.23
PROPER(sel(x0, nil)) → c51(SEL(proper(x0), ok(nil)), PROPER(x0))
419.73/127.23
PROPER(sel(x0, 01)) → c51(SEL(proper(x0), ok(01)), PROPER(x0))
419.73/127.23
PROPER(sel(0, x1)) → c51(SEL(ok(0), proper(x1)), PROPER(x1))
419.73/127.23
PROPER(sel(nil, x1)) → c51(SEL(ok(nil), proper(x1)), PROPER(x1))
419.73/127.23
PROPER(sel(01, x1)) → c51(SEL(ok(01), proper(x1)), PROPER(x1))
419.73/127.23
PROPER(indx(x0, dbl(z0))) → c52(INDX(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.23
PROPER(indx(x0, s(z0))) → c52(INDX(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.23
PROPER(indx(x0, dbls(z0))) → c52(INDX(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.23
PROPER(indx(x0, cons(z0, z1))) → c52(INDX(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.23
PROPER(indx(x0, sel(z0, z1))) → c52(INDX(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.23
PROPER(indx(x0, indx(z0, z1))) → c52(INDX(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.23
PROPER(indx(x0, from(z0))) → c52(INDX(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.23
PROPER(indx(x0, dbl1(z0))) → c52(INDX(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.23
PROPER(indx(x0, s1(z0))) → c52(INDX(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.23
PROPER(indx(x0, sel1(z0, z1))) → c52(INDX(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.23
PROPER(indx(x0, quote(z0))) → c52(INDX(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.23
PROPER(indx(dbl(z0), x1)) → c52(INDX(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.23
PROPER(indx(s(z0), x1)) → c52(INDX(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.23
PROPER(indx(dbls(z0), x1)) → c52(INDX(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.23
PROPER(indx(cons(z0, z1), x1)) → c52(INDX(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.23
PROPER(indx(sel(z0, z1), x1)) → c52(INDX(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.23
PROPER(indx(indx(z0, z1), x1)) → c52(INDX(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.23
PROPER(indx(from(z0), x1)) → c52(INDX(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.23
PROPER(indx(dbl1(z0), x1)) → c52(INDX(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.23
PROPER(indx(s1(z0), x1)) → c52(INDX(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.23
PROPER(indx(sel1(z0, z1), x1)) → c52(INDX(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.23
PROPER(indx(quote(z0), x1)) → c52(INDX(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.23
PROPER(indx(x0, 0)) → c52(INDX(proper(x0), ok(0)), PROPER(x0))
419.73/127.23
PROPER(indx(x0, nil)) → c52(INDX(proper(x0), ok(nil)), PROPER(x0))
419.73/127.23
PROPER(indx(x0, 01)) → c52(INDX(proper(x0), ok(01)), PROPER(x0))
419.73/127.23
PROPER(indx(0, x1)) → c52(INDX(ok(0), proper(x1)), PROPER(x1))
419.73/127.23
PROPER(indx(nil, x1)) → c52(INDX(ok(nil), proper(x1)), PROPER(x1))
419.73/127.23
PROPER(indx(01, x1)) → c52(INDX(ok(01), proper(x1)), PROPER(x1))
S tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.73/127.23
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.73/127.23
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.73/127.23
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.73/127.23
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.73/127.23
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.73/127.23
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.73/127.23
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.73/127.23
DBL(mark(z0)) → c27(DBL(z0))
419.73/127.23
DBL(ok(z0)) → c28(DBL(z0))
419.73/127.23
DBLS(mark(z0)) → c29(DBLS(z0))
419.73/127.23
DBLS(ok(z0)) → c30(DBLS(z0))
419.73/127.23
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.73/127.23
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.73/127.23
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.73/127.23
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.73/127.23
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.73/127.23
DBL1(mark(z0)) → c36(DBL1(z0))
419.73/127.23
DBL1(ok(z0)) → c37(DBL1(z0))
419.73/127.23
S1(mark(z0)) → c38(S1(z0))
419.73/127.23
S1(ok(z0)) → c39(S1(z0))
419.73/127.23
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.73/127.23
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.73/127.23
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.73/127.23
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.73/127.23
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.73/127.23
PROPER(from(z0)) → c53(FROM(proper(z0)), PROPER(z0))
419.73/127.23
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
419.73/127.23
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
419.73/127.23
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.73/127.23
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
419.73/127.23
S(ok(z0)) → c59(S(z0))
419.73/127.23
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.73/127.23
FROM(ok(z0)) → c61(FROM(z0))
419.73/127.23
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
419.73/127.23
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.73/127.23
ACTIVE(from(z0)) → c8(S(z0))
419.73/127.23
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.73/127.23
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.73/127.23
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.73/127.23
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.73/127.23
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.73/127.23
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.73/127.23
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.73/127.23
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.73/127.23
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.73/127.23
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.73/127.23
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.73/127.23
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.73/127.23
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.73/127.23
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.73/127.23
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.23
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.23
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.23
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.23
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.23
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.23
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.23
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.23
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.23
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.23
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.23
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.23
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.23
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.23
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.23
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.23
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.73/127.23
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.73/127.23
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.73/127.23
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.73/127.23
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.73/127.23
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.23
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.23
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.23
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.23
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.23
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.23
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.23
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.23
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.23
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.23
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.23
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.23
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.23
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.23
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.23
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.23
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.73/127.23
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.73/127.23
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.73/127.23
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.23
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.23
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.73/127.23
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.73/127.23
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.23
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.23
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.73/127.23
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.73/127.23
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.23
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.23
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.23
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.23
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.73/127.23
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.73/127.23
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.73/127.23
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.73/127.23
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.73/127.23
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.73/127.23
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.73/127.23
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.73/127.23
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.73/127.23
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.73/127.23
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.73/127.23
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.73/127.23
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.73/127.23
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.73/127.23
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.73/127.23
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.73/127.23
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.73/127.23
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.23
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.23
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.23
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.23
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.73/127.23
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.73/127.23
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.73/127.23
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.73/127.23
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.73/127.23
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.23
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.73/127.23
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.73/127.23
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.23
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.23
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.23
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.23
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.23
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.23
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.23
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.23
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.23
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.23
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.23
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.23
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.23
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.23
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.23
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.23
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.73/127.23
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.73/127.23
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.23
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.73/127.23
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.73/127.23
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.73/127.23
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.73/127.23
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.73/127.23
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.23
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.73/127.23
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.23
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.73/127.23
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.23
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.73/127.23
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.73/127.23
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.23
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.73/127.23
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.23
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.23
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.73/127.23
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.73/127.23
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.73/127.23
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.23
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.23
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.23
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.23
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.23
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.23
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.23
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.23
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.23
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.23
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.23
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.23
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.23
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.23
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.23
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.23
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.23
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.73/127.23
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.73/127.23
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.73/127.23
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.73/127.23
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.73/127.23
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.73/127.23
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.23
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.73/127.23
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.23
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.23
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.73/127.23
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.73/127.23
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.73/127.23
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.73/127.23
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.23
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.23
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.23
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.23
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.23
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.23
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.23
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.23
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.23
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.23
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.23
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.23
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.23
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.23
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.23
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.23
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.73/127.23
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.73/127.23
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.23
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.73/127.23
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.73/127.23
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.73/127.23
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.73/127.23
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.73/127.23
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.73/127.23
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.73/127.23
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.73/127.23
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.23
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.73/127.23
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.23
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.73/127.23
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.73/127.23
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.73/127.23
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.23
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.73/127.23
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.23
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.73/127.23
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.73/127.23
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.23
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.73/127.23
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.23
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.23
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.73/127.23
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.73/127.23
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.73/127.23
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.73/127.23
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.73/127.23
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.23
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.23
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.73/127.23
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.23
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.23
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.23
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.23
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.73/127.23
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.23
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.23
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.23
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.23
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.73/127.23
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.73/127.23
PROPER(dbl(01)) → c45(DBL(ok(01)))
419.73/127.23
PROPER(s(dbl(z0))) → c47(S(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.23
PROPER(s(s(z0))) → c47(S(s(proper(z0))), PROPER(s(z0)))
419.73/127.23
PROPER(s(dbls(z0))) → c47(S(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.23
PROPER(s(cons(z0, z1))) → c47(S(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.23
PROPER(s(sel(z0, z1))) → c47(S(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.23
PROPER(s(indx(z0, z1))) → c47(S(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.23
PROPER(s(from(z0))) → c47(S(from(proper(z0))), PROPER(from(z0)))
419.73/127.23
PROPER(s(dbl1(z0))) → c47(S(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.23
PROPER(s(s1(z0))) → c47(S(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.23
PROPER(s(sel1(z0, z1))) → c47(S(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.23
PROPER(s(quote(z0))) → c47(S(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.23
PROPER(s(0)) → c47(S(ok(0)))
419.73/127.23
PROPER(s(nil)) → c47(S(ok(nil)))
419.73/127.23
PROPER(s(01)) → c47(S(ok(01)))
419.73/127.23
PROPER(dbls(dbl(z0))) → c48(DBLS(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.23
PROPER(dbls(s(z0))) → c48(DBLS(s(proper(z0))), PROPER(s(z0)))
419.73/127.23
PROPER(dbls(dbls(z0))) → c48(DBLS(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.23
PROPER(dbls(cons(z0, z1))) → c48(DBLS(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.23
PROPER(dbls(sel(z0, z1))) → c48(DBLS(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.23
PROPER(dbls(indx(z0, z1))) → c48(DBLS(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.23
PROPER(dbls(from(z0))) → c48(DBLS(from(proper(z0))), PROPER(from(z0)))
419.73/127.23
PROPER(dbls(dbl1(z0))) → c48(DBLS(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.23
PROPER(dbls(s1(z0))) → c48(DBLS(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.23
PROPER(dbls(sel1(z0, z1))) → c48(DBLS(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.23
PROPER(dbls(quote(z0))) → c48(DBLS(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.23
PROPER(dbls(0)) → c48(DBLS(ok(0)))
419.73/127.23
PROPER(dbls(nil)) → c48(DBLS(ok(nil)))
419.73/127.23
PROPER(dbls(01)) → c48(DBLS(ok(01)))
419.73/127.23
PROPER(cons(x0, dbl(z0))) → c50(CONS(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.23
PROPER(cons(x0, s(z0))) → c50(CONS(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.23
PROPER(cons(x0, dbls(z0))) → c50(CONS(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.23
PROPER(cons(x0, cons(z0, z1))) → c50(CONS(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.23
PROPER(cons(x0, sel(z0, z1))) → c50(CONS(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.23
PROPER(cons(x0, indx(z0, z1))) → c50(CONS(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.23
PROPER(cons(x0, from(z0))) → c50(CONS(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.23
PROPER(cons(x0, dbl1(z0))) → c50(CONS(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.23
PROPER(cons(x0, s1(z0))) → c50(CONS(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.23
PROPER(cons(x0, sel1(z0, z1))) → c50(CONS(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.23
PROPER(cons(x0, quote(z0))) → c50(CONS(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.23
PROPER(cons(dbl(z0), x1)) → c50(CONS(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.23
PROPER(cons(s(z0), x1)) → c50(CONS(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.23
PROPER(cons(dbls(z0), x1)) → c50(CONS(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.23
PROPER(cons(cons(z0, z1), x1)) → c50(CONS(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.23
PROPER(cons(sel(z0, z1), x1)) → c50(CONS(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.23
PROPER(cons(indx(z0, z1), x1)) → c50(CONS(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.23
PROPER(cons(from(z0), x1)) → c50(CONS(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.23
PROPER(cons(dbl1(z0), x1)) → c50(CONS(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.23
PROPER(cons(s1(z0), x1)) → c50(CONS(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.23
PROPER(cons(sel1(z0, z1), x1)) → c50(CONS(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.23
PROPER(cons(quote(z0), x1)) → c50(CONS(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.23
PROPER(cons(x0, 0)) → c50(CONS(proper(x0), ok(0)), PROPER(x0))
419.73/127.23
PROPER(cons(x0, nil)) → c50(CONS(proper(x0), ok(nil)), PROPER(x0))
419.73/127.23
PROPER(cons(x0, 01)) → c50(CONS(proper(x0), ok(01)), PROPER(x0))
419.73/127.23
PROPER(cons(0, x1)) → c50(CONS(ok(0), proper(x1)), PROPER(x1))
419.73/127.23
PROPER(cons(nil, x1)) → c50(CONS(ok(nil), proper(x1)), PROPER(x1))
419.73/127.23
PROPER(cons(01, x1)) → c50(CONS(ok(01), proper(x1)), PROPER(x1))
419.73/127.23
PROPER(sel(x0, dbl(z0))) → c51(SEL(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.23
PROPER(sel(x0, s(z0))) → c51(SEL(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.23
PROPER(sel(x0, dbls(z0))) → c51(SEL(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.23
PROPER(sel(x0, cons(z0, z1))) → c51(SEL(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.23
PROPER(sel(x0, sel(z0, z1))) → c51(SEL(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.23
PROPER(sel(x0, indx(z0, z1))) → c51(SEL(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.23
PROPER(sel(x0, from(z0))) → c51(SEL(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.23
PROPER(sel(x0, dbl1(z0))) → c51(SEL(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.23
PROPER(sel(x0, s1(z0))) → c51(SEL(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.23
PROPER(sel(x0, sel1(z0, z1))) → c51(SEL(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.23
PROPER(sel(x0, quote(z0))) → c51(SEL(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.23
PROPER(sel(dbl(z0), x1)) → c51(SEL(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.23
PROPER(sel(s(z0), x1)) → c51(SEL(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.23
PROPER(sel(dbls(z0), x1)) → c51(SEL(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.23
PROPER(sel(cons(z0, z1), x1)) → c51(SEL(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.23
PROPER(sel(sel(z0, z1), x1)) → c51(SEL(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.23
PROPER(sel(indx(z0, z1), x1)) → c51(SEL(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.23
PROPER(sel(from(z0), x1)) → c51(SEL(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.23
PROPER(sel(dbl1(z0), x1)) → c51(SEL(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.23
PROPER(sel(s1(z0), x1)) → c51(SEL(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.23
PROPER(sel(sel1(z0, z1), x1)) → c51(SEL(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.23
PROPER(sel(quote(z0), x1)) → c51(SEL(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.23
PROPER(sel(x0, 0)) → c51(SEL(proper(x0), ok(0)), PROPER(x0))
419.73/127.23
PROPER(sel(x0, nil)) → c51(SEL(proper(x0), ok(nil)), PROPER(x0))
419.73/127.23
PROPER(sel(x0, 01)) → c51(SEL(proper(x0), ok(01)), PROPER(x0))
419.73/127.23
PROPER(sel(0, x1)) → c51(SEL(ok(0), proper(x1)), PROPER(x1))
419.73/127.23
PROPER(sel(nil, x1)) → c51(SEL(ok(nil), proper(x1)), PROPER(x1))
419.73/127.23
PROPER(sel(01, x1)) → c51(SEL(ok(01), proper(x1)), PROPER(x1))
419.73/127.23
PROPER(indx(x0, dbl(z0))) → c52(INDX(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.23
PROPER(indx(x0, s(z0))) → c52(INDX(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.23
PROPER(indx(x0, dbls(z0))) → c52(INDX(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.23
PROPER(indx(x0, cons(z0, z1))) → c52(INDX(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.23
PROPER(indx(x0, sel(z0, z1))) → c52(INDX(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.23
PROPER(indx(x0, indx(z0, z1))) → c52(INDX(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.23
PROPER(indx(x0, from(z0))) → c52(INDX(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.23
PROPER(indx(x0, dbl1(z0))) → c52(INDX(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.23
PROPER(indx(x0, s1(z0))) → c52(INDX(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.23
PROPER(indx(x0, sel1(z0, z1))) → c52(INDX(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.23
PROPER(indx(x0, quote(z0))) → c52(INDX(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.23
PROPER(indx(dbl(z0), x1)) → c52(INDX(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.23
PROPER(indx(s(z0), x1)) → c52(INDX(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.23
PROPER(indx(dbls(z0), x1)) → c52(INDX(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.23
PROPER(indx(cons(z0, z1), x1)) → c52(INDX(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.23
PROPER(indx(sel(z0, z1), x1)) → c52(INDX(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.23
PROPER(indx(indx(z0, z1), x1)) → c52(INDX(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.23
PROPER(indx(from(z0), x1)) → c52(INDX(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.23
PROPER(indx(dbl1(z0), x1)) → c52(INDX(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.23
PROPER(indx(s1(z0), x1)) → c52(INDX(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.23
PROPER(indx(sel1(z0, z1), x1)) → c52(INDX(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.23
PROPER(indx(quote(z0), x1)) → c52(INDX(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.23
PROPER(indx(x0, 0)) → c52(INDX(proper(x0), ok(0)), PROPER(x0))
419.73/127.23
PROPER(indx(x0, nil)) → c52(INDX(proper(x0), ok(nil)), PROPER(x0))
419.73/127.23
PROPER(indx(x0, 01)) → c52(INDX(proper(x0), ok(01)), PROPER(x0))
419.73/127.23
PROPER(indx(0, x1)) → c52(INDX(ok(0), proper(x1)), PROPER(x1))
419.73/127.23
PROPER(indx(nil, x1)) → c52(INDX(ok(nil), proper(x1)), PROPER(x1))
419.73/127.23
PROPER(indx(01, x1)) → c52(INDX(ok(01), proper(x1)), PROPER(x1))
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
ACTIVE, DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, PROPER, S, CONS, FROM, TOP
Compound Symbols:
c5, c12, c15, c16, c19, c20, c24, c25, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c53, c54, c56, c57, c58, c59, c60, c61, c62, c63, c8, c, c17, c17, c1, c18, c18, c2, c21, c21, c3, c22, c22, c4, c23, c23, c6, c26, c26, c7, c45, c45, c47, c47, c48, c48, c50, c50, c51, c51, c52, c52
419.73/127.23
419.73/127.23
(67) CdtNarrowingProof (BOTH BOUNDS(ID, ID) transformation)
Use narrowing to replace
PROPER(
from(
z0)) →
c53(
FROM(
proper(
z0)),
PROPER(
z0)) by
PROPER(from(dbl(z0))) → c53(FROM(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.23
PROPER(from(0)) → c53(FROM(ok(0)), PROPER(0))
419.73/127.23
PROPER(from(s(z0))) → c53(FROM(s(proper(z0))), PROPER(s(z0)))
419.73/127.23
PROPER(from(dbls(z0))) → c53(FROM(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.23
PROPER(from(nil)) → c53(FROM(ok(nil)), PROPER(nil))
419.73/127.23
PROPER(from(cons(z0, z1))) → c53(FROM(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.23
PROPER(from(sel(z0, z1))) → c53(FROM(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.23
PROPER(from(indx(z0, z1))) → c53(FROM(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.23
PROPER(from(from(z0))) → c53(FROM(from(proper(z0))), PROPER(from(z0)))
419.73/127.23
PROPER(from(dbl1(z0))) → c53(FROM(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.23
PROPER(from(01)) → c53(FROM(ok(01)), PROPER(01))
419.73/127.23
PROPER(from(s1(z0))) → c53(FROM(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.23
PROPER(from(sel1(z0, z1))) → c53(FROM(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.23
PROPER(from(quote(z0))) → c53(FROM(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.23
419.73/127.23
(68) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
419.73/127.23
active(dbl(s(z0))) → mark(s(s(dbl(z0))))
419.73/127.23
active(dbls(nil)) → mark(nil)
419.73/127.23
active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
419.73/127.23
active(sel(0, cons(z0, z1))) → mark(z0)
419.73/127.23
active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
419.73/127.23
active(indx(nil, z0)) → mark(nil)
419.73/127.23
active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
419.73/127.23
active(from(z0)) → mark(cons(z0, from(s(z0))))
419.73/127.23
active(dbl1(0)) → mark(01)
419.73/127.23
active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
419.73/127.23
active(sel1(0, cons(z0, z1))) → mark(z0)
419.73/127.23
active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
419.73/127.23
active(quote(0)) → mark(01)
419.73/127.23
active(quote(s(z0))) → mark(s1(quote(z0)))
419.73/127.23
active(quote(dbl(z0))) → mark(dbl1(z0))
419.73/127.23
active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
419.73/127.23
active(dbl(z0)) → dbl(active(z0))
419.73/127.23
active(dbls(z0)) → dbls(active(z0))
419.73/127.23
active(sel(z0, z1)) → sel(active(z0), z1)
419.73/127.23
active(sel(z0, z1)) → sel(z0, active(z1))
419.73/127.23
active(indx(z0, z1)) → indx(active(z0), z1)
419.73/127.23
active(dbl1(z0)) → dbl1(active(z0))
419.73/127.23
active(s1(z0)) → s1(active(z0))
419.73/127.23
active(sel1(z0, z1)) → sel1(active(z0), z1)
419.73/127.23
active(sel1(z0, z1)) → sel1(z0, active(z1))
419.73/127.23
active(quote(z0)) → quote(active(z0))
419.73/127.23
dbl(mark(z0)) → mark(dbl(z0))
419.73/127.23
dbl(ok(z0)) → ok(dbl(z0))
419.73/127.23
dbls(mark(z0)) → mark(dbls(z0))
419.73/127.23
dbls(ok(z0)) → ok(dbls(z0))
419.73/127.23
sel(mark(z0), z1) → mark(sel(z0, z1))
419.73/127.23
sel(z0, mark(z1)) → mark(sel(z0, z1))
419.73/127.23
sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
419.73/127.23
indx(mark(z0), z1) → mark(indx(z0, z1))
419.73/127.23
indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
419.73/127.23
dbl1(mark(z0)) → mark(dbl1(z0))
419.73/127.23
dbl1(ok(z0)) → ok(dbl1(z0))
419.73/127.23
s1(mark(z0)) → mark(s1(z0))
419.73/127.23
s1(ok(z0)) → ok(s1(z0))
419.73/127.23
sel1(mark(z0), z1) → mark(sel1(z0, z1))
419.73/127.23
sel1(z0, mark(z1)) → mark(sel1(z0, z1))
419.73/127.23
sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
419.73/127.23
quote(mark(z0)) → mark(quote(z0))
419.73/127.23
quote(ok(z0)) → ok(quote(z0))
419.73/127.23
proper(dbl(z0)) → dbl(proper(z0))
419.73/127.23
proper(0) → ok(0)
419.73/127.23
proper(s(z0)) → s(proper(z0))
419.73/127.23
proper(dbls(z0)) → dbls(proper(z0))
419.73/127.23
proper(nil) → ok(nil)
419.73/127.23
proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
419.73/127.23
proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
419.73/127.23
proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
419.73/127.23
proper(from(z0)) → from(proper(z0))
419.73/127.23
proper(dbl1(z0)) → dbl1(proper(z0))
419.73/127.23
proper(01) → ok(01)
419.73/127.23
proper(s1(z0)) → s1(proper(z0))
419.73/127.23
proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
419.73/127.23
proper(quote(z0)) → quote(proper(z0))
419.73/127.23
s(ok(z0)) → ok(s(z0))
419.73/127.23
cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
419.73/127.23
from(ok(z0)) → ok(from(z0))
419.73/127.23
top(mark(z0)) → top(proper(z0))
419.73/127.23
top(ok(z0)) → top(active(z0))
Tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.73/127.23
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.73/127.23
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.73/127.23
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.73/127.23
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.73/127.23
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.73/127.23
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.73/127.23
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.73/127.23
DBL(mark(z0)) → c27(DBL(z0))
419.73/127.23
DBL(ok(z0)) → c28(DBL(z0))
419.73/127.23
DBLS(mark(z0)) → c29(DBLS(z0))
419.73/127.23
DBLS(ok(z0)) → c30(DBLS(z0))
419.73/127.23
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.73/127.23
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.73/127.23
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.73/127.23
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.73/127.23
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.73/127.23
DBL1(mark(z0)) → c36(DBL1(z0))
419.73/127.23
DBL1(ok(z0)) → c37(DBL1(z0))
419.73/127.23
S1(mark(z0)) → c38(S1(z0))
419.73/127.23
S1(ok(z0)) → c39(S1(z0))
419.73/127.23
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.73/127.23
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.73/127.23
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.73/127.23
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.73/127.23
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.73/127.23
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
419.73/127.23
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
419.73/127.23
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.73/127.23
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
419.73/127.23
S(ok(z0)) → c59(S(z0))
419.73/127.23
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.73/127.23
FROM(ok(z0)) → c61(FROM(z0))
419.73/127.23
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
419.73/127.23
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.73/127.23
ACTIVE(from(z0)) → c8(S(z0))
419.73/127.23
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.73/127.23
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.73/127.23
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.73/127.23
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.73/127.23
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.73/127.23
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.73/127.23
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.73/127.23
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.73/127.23
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.73/127.23
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.73/127.23
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.73/127.23
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.73/127.23
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.73/127.23
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.73/127.23
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.23
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.23
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.23
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.23
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.23
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.23
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.23
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.23
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.23
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.23
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.23
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.23
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.23
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.23
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.23
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.23
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.73/127.23
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.73/127.23
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.73/127.23
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.73/127.23
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.73/127.23
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.23
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.23
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.23
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.23
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.23
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.23
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.23
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.23
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.23
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.23
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.23
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.23
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.23
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.23
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.23
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.23
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.73/127.23
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.73/127.23
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.73/127.23
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.23
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.23
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.73/127.23
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.73/127.23
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.23
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.23
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.73/127.23
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.73/127.23
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.23
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.23
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.23
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.23
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.73/127.23
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.73/127.23
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.73/127.23
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.73/127.23
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.73/127.23
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.73/127.23
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.73/127.23
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.73/127.23
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.73/127.23
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.73/127.23
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.73/127.23
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.73/127.23
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.73/127.23
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.73/127.23
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.73/127.23
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.73/127.23
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.73/127.23
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.23
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.23
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.23
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.23
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.73/127.23
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.73/127.23
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.73/127.23
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.73/127.23
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.73/127.23
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.23
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.73/127.23
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.73/127.23
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.23
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.23
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.23
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.23
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.23
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.23
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.23
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.23
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.23
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.23
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.23
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.23
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.23
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.23
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.23
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.23
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.73/127.23
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.73/127.23
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.23
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.73/127.23
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.73/127.23
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.73/127.23
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.73/127.23
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.73/127.23
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.23
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.73/127.23
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.23
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.73/127.23
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.23
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.73/127.23
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.73/127.23
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.23
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.73/127.23
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.23
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.23
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.73/127.23
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.73/127.23
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.73/127.23
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.23
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.23
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.23
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.23
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.23
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.23
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.23
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.23
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.23
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.23
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.23
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.23
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.23
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.23
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.23
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.23
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.23
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.73/127.23
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.73/127.23
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.73/127.23
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.73/127.23
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.73/127.23
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.73/127.23
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.23
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.73/127.23
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.23
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.23
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.73/127.23
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.73/127.23
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.73/127.23
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.73/127.23
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.23
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.23
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.23
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.23
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.23
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.23
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.23
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.23
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.23
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.23
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.23
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.23
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.23
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.23
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.23
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.23
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.73/127.23
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.73/127.23
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.23
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.73/127.23
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.73/127.23
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.73/127.23
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.73/127.23
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.73/127.23
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.73/127.23
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.73/127.23
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.73/127.23
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.23
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.73/127.23
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.23
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.73/127.23
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.73/127.23
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.73/127.23
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.23
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.73/127.23
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.23
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.73/127.23
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.73/127.23
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.23
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.73/127.23
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.23
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.23
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.73/127.23
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.73/127.23
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.73/127.23
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.73/127.23
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.73/127.23
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.23
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.23
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.73/127.23
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.23
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.23
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.23
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.23
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.73/127.23
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.23
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.23
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.23
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.23
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.73/127.23
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.73/127.23
PROPER(dbl(01)) → c45(DBL(ok(01)))
419.73/127.23
PROPER(s(dbl(z0))) → c47(S(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.23
PROPER(s(s(z0))) → c47(S(s(proper(z0))), PROPER(s(z0)))
419.73/127.23
PROPER(s(dbls(z0))) → c47(S(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.23
PROPER(s(cons(z0, z1))) → c47(S(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.23
PROPER(s(sel(z0, z1))) → c47(S(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.23
PROPER(s(indx(z0, z1))) → c47(S(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.23
PROPER(s(from(z0))) → c47(S(from(proper(z0))), PROPER(from(z0)))
419.73/127.23
PROPER(s(dbl1(z0))) → c47(S(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.23
PROPER(s(s1(z0))) → c47(S(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.23
PROPER(s(sel1(z0, z1))) → c47(S(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.23
PROPER(s(quote(z0))) → c47(S(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.23
PROPER(s(0)) → c47(S(ok(0)))
419.73/127.23
PROPER(s(nil)) → c47(S(ok(nil)))
419.73/127.23
PROPER(s(01)) → c47(S(ok(01)))
419.73/127.23
PROPER(dbls(dbl(z0))) → c48(DBLS(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.23
PROPER(dbls(s(z0))) → c48(DBLS(s(proper(z0))), PROPER(s(z0)))
419.73/127.23
PROPER(dbls(dbls(z0))) → c48(DBLS(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.23
PROPER(dbls(cons(z0, z1))) → c48(DBLS(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.23
PROPER(dbls(sel(z0, z1))) → c48(DBLS(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.23
PROPER(dbls(indx(z0, z1))) → c48(DBLS(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.23
PROPER(dbls(from(z0))) → c48(DBLS(from(proper(z0))), PROPER(from(z0)))
419.73/127.23
PROPER(dbls(dbl1(z0))) → c48(DBLS(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.23
PROPER(dbls(s1(z0))) → c48(DBLS(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.23
PROPER(dbls(sel1(z0, z1))) → c48(DBLS(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.23
PROPER(dbls(quote(z0))) → c48(DBLS(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.23
PROPER(dbls(0)) → c48(DBLS(ok(0)))
419.73/127.23
PROPER(dbls(nil)) → c48(DBLS(ok(nil)))
419.73/127.23
PROPER(dbls(01)) → c48(DBLS(ok(01)))
419.73/127.23
PROPER(cons(x0, dbl(z0))) → c50(CONS(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.23
PROPER(cons(x0, s(z0))) → c50(CONS(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.23
PROPER(cons(x0, dbls(z0))) → c50(CONS(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.23
PROPER(cons(x0, cons(z0, z1))) → c50(CONS(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.23
PROPER(cons(x0, sel(z0, z1))) → c50(CONS(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.23
PROPER(cons(x0, indx(z0, z1))) → c50(CONS(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.23
PROPER(cons(x0, from(z0))) → c50(CONS(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.23
PROPER(cons(x0, dbl1(z0))) → c50(CONS(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.23
PROPER(cons(x0, s1(z0))) → c50(CONS(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.23
PROPER(cons(x0, sel1(z0, z1))) → c50(CONS(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.23
PROPER(cons(x0, quote(z0))) → c50(CONS(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.23
PROPER(cons(dbl(z0), x1)) → c50(CONS(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.23
PROPER(cons(s(z0), x1)) → c50(CONS(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.23
PROPER(cons(dbls(z0), x1)) → c50(CONS(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.23
PROPER(cons(cons(z0, z1), x1)) → c50(CONS(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.23
PROPER(cons(sel(z0, z1), x1)) → c50(CONS(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.23
PROPER(cons(indx(z0, z1), x1)) → c50(CONS(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.23
PROPER(cons(from(z0), x1)) → c50(CONS(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.23
PROPER(cons(dbl1(z0), x1)) → c50(CONS(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.23
PROPER(cons(s1(z0), x1)) → c50(CONS(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.23
PROPER(cons(sel1(z0, z1), x1)) → c50(CONS(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.23
PROPER(cons(quote(z0), x1)) → c50(CONS(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.23
PROPER(cons(x0, 0)) → c50(CONS(proper(x0), ok(0)), PROPER(x0))
419.73/127.23
PROPER(cons(x0, nil)) → c50(CONS(proper(x0), ok(nil)), PROPER(x0))
419.73/127.23
PROPER(cons(x0, 01)) → c50(CONS(proper(x0), ok(01)), PROPER(x0))
419.73/127.23
PROPER(cons(0, x1)) → c50(CONS(ok(0), proper(x1)), PROPER(x1))
419.73/127.23
PROPER(cons(nil, x1)) → c50(CONS(ok(nil), proper(x1)), PROPER(x1))
419.73/127.23
PROPER(cons(01, x1)) → c50(CONS(ok(01), proper(x1)), PROPER(x1))
419.73/127.23
PROPER(sel(x0, dbl(z0))) → c51(SEL(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.23
PROPER(sel(x0, s(z0))) → c51(SEL(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.23
PROPER(sel(x0, dbls(z0))) → c51(SEL(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.23
PROPER(sel(x0, cons(z0, z1))) → c51(SEL(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.23
PROPER(sel(x0, sel(z0, z1))) → c51(SEL(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.23
PROPER(sel(x0, indx(z0, z1))) → c51(SEL(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.23
PROPER(sel(x0, from(z0))) → c51(SEL(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.23
PROPER(sel(x0, dbl1(z0))) → c51(SEL(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.23
PROPER(sel(x0, s1(z0))) → c51(SEL(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.23
PROPER(sel(x0, sel1(z0, z1))) → c51(SEL(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.23
PROPER(sel(x0, quote(z0))) → c51(SEL(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.23
PROPER(sel(dbl(z0), x1)) → c51(SEL(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.23
PROPER(sel(s(z0), x1)) → c51(SEL(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.23
PROPER(sel(dbls(z0), x1)) → c51(SEL(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.23
PROPER(sel(cons(z0, z1), x1)) → c51(SEL(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.23
PROPER(sel(sel(z0, z1), x1)) → c51(SEL(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.23
PROPER(sel(indx(z0, z1), x1)) → c51(SEL(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.23
PROPER(sel(from(z0), x1)) → c51(SEL(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.23
PROPER(sel(dbl1(z0), x1)) → c51(SEL(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.23
PROPER(sel(s1(z0), x1)) → c51(SEL(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.23
PROPER(sel(sel1(z0, z1), x1)) → c51(SEL(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.23
PROPER(sel(quote(z0), x1)) → c51(SEL(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.23
PROPER(sel(x0, 0)) → c51(SEL(proper(x0), ok(0)), PROPER(x0))
419.73/127.23
PROPER(sel(x0, nil)) → c51(SEL(proper(x0), ok(nil)), PROPER(x0))
419.73/127.23
PROPER(sel(x0, 01)) → c51(SEL(proper(x0), ok(01)), PROPER(x0))
419.73/127.23
PROPER(sel(0, x1)) → c51(SEL(ok(0), proper(x1)), PROPER(x1))
419.73/127.23
PROPER(sel(nil, x1)) → c51(SEL(ok(nil), proper(x1)), PROPER(x1))
419.73/127.23
PROPER(sel(01, x1)) → c51(SEL(ok(01), proper(x1)), PROPER(x1))
419.73/127.23
PROPER(indx(x0, dbl(z0))) → c52(INDX(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.23
PROPER(indx(x0, s(z0))) → c52(INDX(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.23
PROPER(indx(x0, dbls(z0))) → c52(INDX(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.23
PROPER(indx(x0, cons(z0, z1))) → c52(INDX(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.23
PROPER(indx(x0, sel(z0, z1))) → c52(INDX(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.23
PROPER(indx(x0, indx(z0, z1))) → c52(INDX(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.23
PROPER(indx(x0, from(z0))) → c52(INDX(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.23
PROPER(indx(x0, dbl1(z0))) → c52(INDX(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.23
PROPER(indx(x0, s1(z0))) → c52(INDX(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.23
PROPER(indx(x0, sel1(z0, z1))) → c52(INDX(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.23
PROPER(indx(x0, quote(z0))) → c52(INDX(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.23
PROPER(indx(dbl(z0), x1)) → c52(INDX(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.23
PROPER(indx(s(z0), x1)) → c52(INDX(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.23
PROPER(indx(dbls(z0), x1)) → c52(INDX(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.23
PROPER(indx(cons(z0, z1), x1)) → c52(INDX(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.23
PROPER(indx(sel(z0, z1), x1)) → c52(INDX(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.23
PROPER(indx(indx(z0, z1), x1)) → c52(INDX(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.23
PROPER(indx(from(z0), x1)) → c52(INDX(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.23
PROPER(indx(dbl1(z0), x1)) → c52(INDX(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.23
PROPER(indx(s1(z0), x1)) → c52(INDX(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.23
PROPER(indx(sel1(z0, z1), x1)) → c52(INDX(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.23
PROPER(indx(quote(z0), x1)) → c52(INDX(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.23
PROPER(indx(x0, 0)) → c52(INDX(proper(x0), ok(0)), PROPER(x0))
419.73/127.23
PROPER(indx(x0, nil)) → c52(INDX(proper(x0), ok(nil)), PROPER(x0))
419.73/127.23
PROPER(indx(x0, 01)) → c52(INDX(proper(x0), ok(01)), PROPER(x0))
419.73/127.23
PROPER(indx(0, x1)) → c52(INDX(ok(0), proper(x1)), PROPER(x1))
419.73/127.23
PROPER(indx(nil, x1)) → c52(INDX(ok(nil), proper(x1)), PROPER(x1))
419.73/127.23
PROPER(indx(01, x1)) → c52(INDX(ok(01), proper(x1)), PROPER(x1))
419.73/127.23
PROPER(from(dbl(z0))) → c53(FROM(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.23
PROPER(from(0)) → c53(FROM(ok(0)), PROPER(0))
419.73/127.23
PROPER(from(s(z0))) → c53(FROM(s(proper(z0))), PROPER(s(z0)))
419.73/127.23
PROPER(from(dbls(z0))) → c53(FROM(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.23
PROPER(from(nil)) → c53(FROM(ok(nil)), PROPER(nil))
419.73/127.23
PROPER(from(cons(z0, z1))) → c53(FROM(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.23
PROPER(from(sel(z0, z1))) → c53(FROM(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.23
PROPER(from(indx(z0, z1))) → c53(FROM(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.23
PROPER(from(from(z0))) → c53(FROM(from(proper(z0))), PROPER(from(z0)))
419.73/127.23
PROPER(from(dbl1(z0))) → c53(FROM(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.23
PROPER(from(01)) → c53(FROM(ok(01)), PROPER(01))
419.73/127.23
PROPER(from(s1(z0))) → c53(FROM(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.23
PROPER(from(sel1(z0, z1))) → c53(FROM(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.23
PROPER(from(quote(z0))) → c53(FROM(quote(proper(z0))), PROPER(quote(z0)))
S tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.73/127.23
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.73/127.23
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.73/127.23
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.73/127.23
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.73/127.23
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.73/127.23
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.73/127.23
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.73/127.23
DBL(mark(z0)) → c27(DBL(z0))
419.73/127.23
DBL(ok(z0)) → c28(DBL(z0))
419.73/127.23
DBLS(mark(z0)) → c29(DBLS(z0))
419.73/127.23
DBLS(ok(z0)) → c30(DBLS(z0))
419.73/127.23
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.73/127.23
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.73/127.23
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.73/127.23
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.73/127.23
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.73/127.23
DBL1(mark(z0)) → c36(DBL1(z0))
419.73/127.23
DBL1(ok(z0)) → c37(DBL1(z0))
419.73/127.23
S1(mark(z0)) → c38(S1(z0))
419.73/127.23
S1(ok(z0)) → c39(S1(z0))
419.73/127.23
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.73/127.23
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.73/127.23
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.73/127.23
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.73/127.23
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.73/127.23
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
419.73/127.23
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
419.73/127.23
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.73/127.23
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
419.73/127.23
S(ok(z0)) → c59(S(z0))
419.73/127.23
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.73/127.23
FROM(ok(z0)) → c61(FROM(z0))
419.73/127.23
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
419.73/127.23
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.73/127.23
ACTIVE(from(z0)) → c8(S(z0))
419.73/127.23
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.73/127.23
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.73/127.23
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.73/127.23
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.73/127.23
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.73/127.23
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.73/127.23
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.73/127.23
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.73/127.23
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.73/127.23
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.73/127.23
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.73/127.23
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.73/127.23
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.73/127.23
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.73/127.23
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.23
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.23
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.23
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.23
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.23
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.23
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.23
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.23
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.23
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.23
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.23
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.23
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.23
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.23
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.23
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.23
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.73/127.23
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.73/127.23
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.73/127.23
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.73/127.23
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.73/127.23
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.23
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.23
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.23
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.23
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.23
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.23
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.23
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.23
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.23
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.23
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.23
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.23
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.23
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.23
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.23
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.23
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.73/127.23
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.73/127.23
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.73/127.23
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.23
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.23
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.73/127.23
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.73/127.23
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.23
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.23
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.73/127.23
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.73/127.23
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.23
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.23
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.23
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.23
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.73/127.23
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.73/127.23
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.73/127.23
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.73/127.23
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.73/127.23
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.73/127.23
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.73/127.23
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.73/127.23
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.73/127.23
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.73/127.23
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.73/127.23
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.73/127.23
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.73/127.23
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.73/127.23
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.73/127.23
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.73/127.23
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.73/127.23
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.23
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.23
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.23
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.23
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.73/127.23
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.73/127.23
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.73/127.23
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.73/127.23
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.73/127.23
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.23
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.73/127.23
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.73/127.23
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.23
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.23
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.23
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.23
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.23
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.23
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.23
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.23
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.23
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.23
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.23
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.23
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.23
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.23
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.23
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.23
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.73/127.23
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.73/127.23
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.23
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.73/127.23
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.73/127.23
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.73/127.23
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.73/127.23
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.73/127.23
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.23
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.73/127.23
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.23
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.73/127.23
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.23
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.73/127.23
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.73/127.23
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.23
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.73/127.23
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.23
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.23
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.73/127.23
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.73/127.23
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.73/127.23
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.23
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.23
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.23
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.23
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.23
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.23
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.23
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.23
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.23
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.23
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.23
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.23
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.23
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.23
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.23
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.23
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.23
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.73/127.23
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.73/127.23
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.73/127.23
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.73/127.23
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.73/127.23
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.73/127.23
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.23
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.73/127.23
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.23
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.23
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.73/127.23
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.73/127.23
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.73/127.23
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.73/127.23
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.23
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.23
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.23
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.23
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.23
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.23
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.23
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.23
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.23
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.23
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.23
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.23
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.23
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.23
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.23
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.23
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.73/127.23
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.73/127.23
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.23
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.73/127.23
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.73/127.23
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.73/127.23
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.73/127.23
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.73/127.23
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.73/127.23
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.73/127.23
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.73/127.23
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.23
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.73/127.23
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.23
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.73/127.23
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.73/127.23
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.73/127.23
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.23
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.73/127.23
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.23
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.73/127.23
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.73/127.23
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.23
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.73/127.23
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.23
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.23
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.73/127.23
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.73/127.23
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.73/127.23
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.73/127.23
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.73/127.23
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.23
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.23
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.73/127.23
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.23
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.23
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.23
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.23
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.73/127.23
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.23
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.23
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.23
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.23
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.73/127.23
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.73/127.23
PROPER(dbl(01)) → c45(DBL(ok(01)))
419.73/127.23
PROPER(s(dbl(z0))) → c47(S(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.23
PROPER(s(s(z0))) → c47(S(s(proper(z0))), PROPER(s(z0)))
419.73/127.23
PROPER(s(dbls(z0))) → c47(S(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.23
PROPER(s(cons(z0, z1))) → c47(S(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.23
PROPER(s(sel(z0, z1))) → c47(S(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.23
PROPER(s(indx(z0, z1))) → c47(S(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.23
PROPER(s(from(z0))) → c47(S(from(proper(z0))), PROPER(from(z0)))
419.73/127.23
PROPER(s(dbl1(z0))) → c47(S(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.23
PROPER(s(s1(z0))) → c47(S(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.23
PROPER(s(sel1(z0, z1))) → c47(S(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.23
PROPER(s(quote(z0))) → c47(S(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.23
PROPER(s(0)) → c47(S(ok(0)))
419.73/127.23
PROPER(s(nil)) → c47(S(ok(nil)))
419.73/127.23
PROPER(s(01)) → c47(S(ok(01)))
419.73/127.23
PROPER(dbls(dbl(z0))) → c48(DBLS(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.23
PROPER(dbls(s(z0))) → c48(DBLS(s(proper(z0))), PROPER(s(z0)))
419.73/127.23
PROPER(dbls(dbls(z0))) → c48(DBLS(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.23
PROPER(dbls(cons(z0, z1))) → c48(DBLS(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.23
PROPER(dbls(sel(z0, z1))) → c48(DBLS(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.23
PROPER(dbls(indx(z0, z1))) → c48(DBLS(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.23
PROPER(dbls(from(z0))) → c48(DBLS(from(proper(z0))), PROPER(from(z0)))
419.73/127.23
PROPER(dbls(dbl1(z0))) → c48(DBLS(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.23
PROPER(dbls(s1(z0))) → c48(DBLS(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.23
PROPER(dbls(sel1(z0, z1))) → c48(DBLS(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.23
PROPER(dbls(quote(z0))) → c48(DBLS(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.23
PROPER(dbls(0)) → c48(DBLS(ok(0)))
419.73/127.23
PROPER(dbls(nil)) → c48(DBLS(ok(nil)))
419.73/127.23
PROPER(dbls(01)) → c48(DBLS(ok(01)))
419.73/127.23
PROPER(cons(x0, dbl(z0))) → c50(CONS(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.23
PROPER(cons(x0, s(z0))) → c50(CONS(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.23
PROPER(cons(x0, dbls(z0))) → c50(CONS(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.23
PROPER(cons(x0, cons(z0, z1))) → c50(CONS(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.23
PROPER(cons(x0, sel(z0, z1))) → c50(CONS(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.23
PROPER(cons(x0, indx(z0, z1))) → c50(CONS(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.23
PROPER(cons(x0, from(z0))) → c50(CONS(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.24
PROPER(cons(x0, dbl1(z0))) → c50(CONS(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.24
PROPER(cons(x0, s1(z0))) → c50(CONS(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.24
PROPER(cons(x0, sel1(z0, z1))) → c50(CONS(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.24
PROPER(cons(x0, quote(z0))) → c50(CONS(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.24
PROPER(cons(dbl(z0), x1)) → c50(CONS(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.24
PROPER(cons(s(z0), x1)) → c50(CONS(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.24
PROPER(cons(dbls(z0), x1)) → c50(CONS(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.24
PROPER(cons(cons(z0, z1), x1)) → c50(CONS(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.24
PROPER(cons(sel(z0, z1), x1)) → c50(CONS(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.24
PROPER(cons(indx(z0, z1), x1)) → c50(CONS(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.24
PROPER(cons(from(z0), x1)) → c50(CONS(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.24
PROPER(cons(dbl1(z0), x1)) → c50(CONS(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.24
PROPER(cons(s1(z0), x1)) → c50(CONS(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.24
PROPER(cons(sel1(z0, z1), x1)) → c50(CONS(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.24
PROPER(cons(quote(z0), x1)) → c50(CONS(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.24
PROPER(cons(x0, 0)) → c50(CONS(proper(x0), ok(0)), PROPER(x0))
419.73/127.24
PROPER(cons(x0, nil)) → c50(CONS(proper(x0), ok(nil)), PROPER(x0))
419.73/127.24
PROPER(cons(x0, 01)) → c50(CONS(proper(x0), ok(01)), PROPER(x0))
419.73/127.24
PROPER(cons(0, x1)) → c50(CONS(ok(0), proper(x1)), PROPER(x1))
419.73/127.24
PROPER(cons(nil, x1)) → c50(CONS(ok(nil), proper(x1)), PROPER(x1))
419.73/127.24
PROPER(cons(01, x1)) → c50(CONS(ok(01), proper(x1)), PROPER(x1))
419.73/127.24
PROPER(sel(x0, dbl(z0))) → c51(SEL(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.24
PROPER(sel(x0, s(z0))) → c51(SEL(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.24
PROPER(sel(x0, dbls(z0))) → c51(SEL(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.24
PROPER(sel(x0, cons(z0, z1))) → c51(SEL(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.24
PROPER(sel(x0, sel(z0, z1))) → c51(SEL(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.24
PROPER(sel(x0, indx(z0, z1))) → c51(SEL(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.24
PROPER(sel(x0, from(z0))) → c51(SEL(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.24
PROPER(sel(x0, dbl1(z0))) → c51(SEL(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.24
PROPER(sel(x0, s1(z0))) → c51(SEL(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.24
PROPER(sel(x0, sel1(z0, z1))) → c51(SEL(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.24
PROPER(sel(x0, quote(z0))) → c51(SEL(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.24
PROPER(sel(dbl(z0), x1)) → c51(SEL(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.24
PROPER(sel(s(z0), x1)) → c51(SEL(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.24
PROPER(sel(dbls(z0), x1)) → c51(SEL(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.24
PROPER(sel(cons(z0, z1), x1)) → c51(SEL(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.24
PROPER(sel(sel(z0, z1), x1)) → c51(SEL(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.24
PROPER(sel(indx(z0, z1), x1)) → c51(SEL(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.24
PROPER(sel(from(z0), x1)) → c51(SEL(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.24
PROPER(sel(dbl1(z0), x1)) → c51(SEL(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.24
PROPER(sel(s1(z0), x1)) → c51(SEL(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.24
PROPER(sel(sel1(z0, z1), x1)) → c51(SEL(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.24
PROPER(sel(quote(z0), x1)) → c51(SEL(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.24
PROPER(sel(x0, 0)) → c51(SEL(proper(x0), ok(0)), PROPER(x0))
419.73/127.24
PROPER(sel(x0, nil)) → c51(SEL(proper(x0), ok(nil)), PROPER(x0))
419.73/127.24
PROPER(sel(x0, 01)) → c51(SEL(proper(x0), ok(01)), PROPER(x0))
419.73/127.24
PROPER(sel(0, x1)) → c51(SEL(ok(0), proper(x1)), PROPER(x1))
419.73/127.24
PROPER(sel(nil, x1)) → c51(SEL(ok(nil), proper(x1)), PROPER(x1))
419.73/127.24
PROPER(sel(01, x1)) → c51(SEL(ok(01), proper(x1)), PROPER(x1))
419.73/127.24
PROPER(indx(x0, dbl(z0))) → c52(INDX(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.24
PROPER(indx(x0, s(z0))) → c52(INDX(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.24
PROPER(indx(x0, dbls(z0))) → c52(INDX(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.24
PROPER(indx(x0, cons(z0, z1))) → c52(INDX(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.24
PROPER(indx(x0, sel(z0, z1))) → c52(INDX(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.24
PROPER(indx(x0, indx(z0, z1))) → c52(INDX(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.24
PROPER(indx(x0, from(z0))) → c52(INDX(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.24
PROPER(indx(x0, dbl1(z0))) → c52(INDX(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.24
PROPER(indx(x0, s1(z0))) → c52(INDX(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.24
PROPER(indx(x0, sel1(z0, z1))) → c52(INDX(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.24
PROPER(indx(x0, quote(z0))) → c52(INDX(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.24
PROPER(indx(dbl(z0), x1)) → c52(INDX(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.24
PROPER(indx(s(z0), x1)) → c52(INDX(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.24
PROPER(indx(dbls(z0), x1)) → c52(INDX(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.24
PROPER(indx(cons(z0, z1), x1)) → c52(INDX(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.24
PROPER(indx(sel(z0, z1), x1)) → c52(INDX(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.24
PROPER(indx(indx(z0, z1), x1)) → c52(INDX(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.24
PROPER(indx(from(z0), x1)) → c52(INDX(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.24
PROPER(indx(dbl1(z0), x1)) → c52(INDX(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.24
PROPER(indx(s1(z0), x1)) → c52(INDX(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.24
PROPER(indx(sel1(z0, z1), x1)) → c52(INDX(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.24
PROPER(indx(quote(z0), x1)) → c52(INDX(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.24
PROPER(indx(x0, 0)) → c52(INDX(proper(x0), ok(0)), PROPER(x0))
419.73/127.24
PROPER(indx(x0, nil)) → c52(INDX(proper(x0), ok(nil)), PROPER(x0))
419.73/127.24
PROPER(indx(x0, 01)) → c52(INDX(proper(x0), ok(01)), PROPER(x0))
419.73/127.24
PROPER(indx(0, x1)) → c52(INDX(ok(0), proper(x1)), PROPER(x1))
419.73/127.24
PROPER(indx(nil, x1)) → c52(INDX(ok(nil), proper(x1)), PROPER(x1))
419.73/127.24
PROPER(indx(01, x1)) → c52(INDX(ok(01), proper(x1)), PROPER(x1))
419.73/127.24
PROPER(from(dbl(z0))) → c53(FROM(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.24
PROPER(from(0)) → c53(FROM(ok(0)), PROPER(0))
419.73/127.24
PROPER(from(s(z0))) → c53(FROM(s(proper(z0))), PROPER(s(z0)))
419.73/127.24
PROPER(from(dbls(z0))) → c53(FROM(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.24
PROPER(from(nil)) → c53(FROM(ok(nil)), PROPER(nil))
419.73/127.24
PROPER(from(cons(z0, z1))) → c53(FROM(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.24
PROPER(from(sel(z0, z1))) → c53(FROM(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.24
PROPER(from(indx(z0, z1))) → c53(FROM(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.24
PROPER(from(from(z0))) → c53(FROM(from(proper(z0))), PROPER(from(z0)))
419.73/127.24
PROPER(from(dbl1(z0))) → c53(FROM(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.24
PROPER(from(01)) → c53(FROM(ok(01)), PROPER(01))
419.73/127.24
PROPER(from(s1(z0))) → c53(FROM(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.24
PROPER(from(sel1(z0, z1))) → c53(FROM(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.24
PROPER(from(quote(z0))) → c53(FROM(quote(proper(z0))), PROPER(quote(z0)))
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
ACTIVE, DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, PROPER, S, CONS, FROM, TOP
Compound Symbols:
c5, c12, c15, c16, c19, c20, c24, c25, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c54, c56, c57, c58, c59, c60, c61, c62, c63, c8, c, c17, c17, c1, c18, c18, c2, c21, c21, c3, c22, c22, c4, c23, c23, c6, c26, c26, c7, c45, c45, c47, c47, c48, c48, c50, c50, c51, c51, c52, c52, c53
419.73/127.24
419.73/127.24
(69) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID) transformation)
Removed 3 trailing tuple parts
419.73/127.24
419.73/127.24
(70) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
419.73/127.24
active(dbl(s(z0))) → mark(s(s(dbl(z0))))
419.73/127.24
active(dbls(nil)) → mark(nil)
419.73/127.24
active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
419.73/127.24
active(sel(0, cons(z0, z1))) → mark(z0)
419.73/127.24
active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
419.73/127.24
active(indx(nil, z0)) → mark(nil)
419.73/127.24
active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
419.73/127.24
active(from(z0)) → mark(cons(z0, from(s(z0))))
419.73/127.24
active(dbl1(0)) → mark(01)
419.73/127.24
active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
419.73/127.24
active(sel1(0, cons(z0, z1))) → mark(z0)
419.73/127.24
active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
419.73/127.24
active(quote(0)) → mark(01)
419.73/127.24
active(quote(s(z0))) → mark(s1(quote(z0)))
419.73/127.24
active(quote(dbl(z0))) → mark(dbl1(z0))
419.73/127.24
active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
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active(dbl(z0)) → dbl(active(z0))
419.73/127.24
active(dbls(z0)) → dbls(active(z0))
419.73/127.24
active(sel(z0, z1)) → sel(active(z0), z1)
419.73/127.24
active(sel(z0, z1)) → sel(z0, active(z1))
419.73/127.24
active(indx(z0, z1)) → indx(active(z0), z1)
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active(dbl1(z0)) → dbl1(active(z0))
419.73/127.24
active(s1(z0)) → s1(active(z0))
419.73/127.24
active(sel1(z0, z1)) → sel1(active(z0), z1)
419.73/127.24
active(sel1(z0, z1)) → sel1(z0, active(z1))
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active(quote(z0)) → quote(active(z0))
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dbl(mark(z0)) → mark(dbl(z0))
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dbl(ok(z0)) → ok(dbl(z0))
419.73/127.24
dbls(mark(z0)) → mark(dbls(z0))
419.73/127.24
dbls(ok(z0)) → ok(dbls(z0))
419.73/127.24
sel(mark(z0), z1) → mark(sel(z0, z1))
419.73/127.24
sel(z0, mark(z1)) → mark(sel(z0, z1))
419.73/127.24
sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
419.73/127.24
indx(mark(z0), z1) → mark(indx(z0, z1))
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indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
419.73/127.24
dbl1(mark(z0)) → mark(dbl1(z0))
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dbl1(ok(z0)) → ok(dbl1(z0))
419.73/127.24
s1(mark(z0)) → mark(s1(z0))
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s1(ok(z0)) → ok(s1(z0))
419.73/127.24
sel1(mark(z0), z1) → mark(sel1(z0, z1))
419.73/127.24
sel1(z0, mark(z1)) → mark(sel1(z0, z1))
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sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
419.73/127.24
quote(mark(z0)) → mark(quote(z0))
419.73/127.24
quote(ok(z0)) → ok(quote(z0))
419.73/127.24
proper(dbl(z0)) → dbl(proper(z0))
419.73/127.24
proper(0) → ok(0)
419.73/127.24
proper(s(z0)) → s(proper(z0))
419.73/127.24
proper(dbls(z0)) → dbls(proper(z0))
419.73/127.24
proper(nil) → ok(nil)
419.73/127.24
proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
419.73/127.24
proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
419.73/127.24
proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
419.73/127.24
proper(from(z0)) → from(proper(z0))
419.73/127.24
proper(dbl1(z0)) → dbl1(proper(z0))
419.73/127.24
proper(01) → ok(01)
419.73/127.24
proper(s1(z0)) → s1(proper(z0))
419.73/127.24
proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
419.73/127.24
proper(quote(z0)) → quote(proper(z0))
419.73/127.24
s(ok(z0)) → ok(s(z0))
419.73/127.24
cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
419.73/127.24
from(ok(z0)) → ok(from(z0))
419.73/127.24
top(mark(z0)) → top(proper(z0))
419.73/127.24
top(ok(z0)) → top(active(z0))
Tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.73/127.24
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.73/127.24
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.73/127.24
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.73/127.24
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.73/127.24
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.73/127.24
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.73/127.24
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.73/127.24
DBL(mark(z0)) → c27(DBL(z0))
419.73/127.24
DBL(ok(z0)) → c28(DBL(z0))
419.73/127.24
DBLS(mark(z0)) → c29(DBLS(z0))
419.73/127.24
DBLS(ok(z0)) → c30(DBLS(z0))
419.73/127.24
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.73/127.24
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.73/127.24
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.73/127.24
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.73/127.24
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.73/127.24
DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
419.73/127.24
S1(mark(z0)) → c38(S1(z0))
419.73/127.24
S1(ok(z0)) → c39(S1(z0))
419.73/127.24
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.73/127.24
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.73/127.24
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.73/127.24
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.73/127.24
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.73/127.24
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
419.73/127.24
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
419.73/127.24
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.73/127.24
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
419.73/127.24
S(ok(z0)) → c59(S(z0))
419.73/127.24
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.73/127.24
FROM(ok(z0)) → c61(FROM(z0))
419.73/127.24
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
419.73/127.24
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.73/127.24
ACTIVE(from(z0)) → c8(S(z0))
419.73/127.24
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.73/127.24
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.73/127.24
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.73/127.24
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.73/127.24
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.73/127.24
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.73/127.24
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.73/127.24
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.73/127.24
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.73/127.24
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.73/127.24
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.73/127.24
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.73/127.24
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.73/127.24
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.73/127.24
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.24
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.24
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.24
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.24
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.24
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.24
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.24
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.24
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.24
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.24
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.24
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.24
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.24
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.24
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.24
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.24
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.73/127.24
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.73/127.24
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.73/127.24
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.73/127.24
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.73/127.24
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.24
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.24
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.24
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.24
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.24
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.24
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
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ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.24
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.24
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.24
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.24
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.24
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.24
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.24
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.24
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.24
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.73/127.24
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.73/127.24
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.73/127.24
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.24
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.24
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.73/127.24
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.73/127.24
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.24
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.24
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.73/127.24
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.73/127.24
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.24
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.24
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.24
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.24
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.73/127.24
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.73/127.24
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.73/127.24
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.73/127.24
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.73/127.24
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.73/127.24
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.73/127.24
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.73/127.24
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.73/127.24
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.73/127.24
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.73/127.24
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.73/127.24
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.73/127.24
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.73/127.24
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.73/127.24
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.73/127.24
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.73/127.24
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.24
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.24
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.24
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.24
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.73/127.24
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.73/127.24
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.73/127.24
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.73/127.24
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.73/127.24
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.24
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.73/127.24
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.73/127.24
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.24
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.24
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.24
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.24
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.24
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.24
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.24
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.24
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.24
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.24
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.24
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.24
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.24
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.24
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.24
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.24
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.73/127.24
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.73/127.24
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.24
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.73/127.24
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.73/127.24
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.73/127.24
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.73/127.24
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.73/127.24
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.24
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.73/127.24
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.24
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.73/127.24
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.24
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.73/127.24
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.73/127.24
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.24
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.73/127.24
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.24
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.24
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.73/127.24
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.73/127.24
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.73/127.24
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.24
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.24
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.24
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.24
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.24
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.24
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.24
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.24
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.24
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.24
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.24
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.24
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.24
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.24
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.24
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.24
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.24
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.73/127.24
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.73/127.24
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.73/127.24
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.73/127.24
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.73/127.24
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.73/127.24
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.24
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.73/127.24
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.24
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.24
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.73/127.24
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.73/127.24
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.73/127.24
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.73/127.24
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.24
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.24
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.24
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.24
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.24
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.24
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.24
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.24
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.24
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.24
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.24
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.24
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.24
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.24
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.24
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.24
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.73/127.24
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.73/127.24
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.24
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.73/127.24
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.73/127.24
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.73/127.24
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.73/127.24
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.73/127.24
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.73/127.24
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.73/127.24
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.73/127.24
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.24
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.73/127.24
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.24
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.73/127.24
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.73/127.24
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.73/127.24
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.24
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.73/127.24
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.24
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.73/127.24
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.73/127.24
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.24
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.73/127.24
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.24
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.24
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.73/127.24
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.73/127.24
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.73/127.24
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.73/127.24
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.73/127.24
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.24
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.24
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.73/127.24
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.24
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.24
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.24
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.24
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.73/127.24
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.24
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.24
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.24
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.24
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.73/127.24
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.73/127.24
PROPER(dbl(01)) → c45(DBL(ok(01)))
419.73/127.24
PROPER(s(dbl(z0))) → c47(S(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.24
PROPER(s(s(z0))) → c47(S(s(proper(z0))), PROPER(s(z0)))
419.73/127.24
PROPER(s(dbls(z0))) → c47(S(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.24
PROPER(s(cons(z0, z1))) → c47(S(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.24
PROPER(s(sel(z0, z1))) → c47(S(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.24
PROPER(s(indx(z0, z1))) → c47(S(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.24
PROPER(s(from(z0))) → c47(S(from(proper(z0))), PROPER(from(z0)))
419.73/127.24
PROPER(s(dbl1(z0))) → c47(S(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.24
PROPER(s(s1(z0))) → c47(S(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.24
PROPER(s(sel1(z0, z1))) → c47(S(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.24
PROPER(s(quote(z0))) → c47(S(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.24
PROPER(s(0)) → c47(S(ok(0)))
419.73/127.24
PROPER(s(nil)) → c47(S(ok(nil)))
419.73/127.24
PROPER(s(01)) → c47(S(ok(01)))
419.73/127.24
PROPER(dbls(dbl(z0))) → c48(DBLS(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.24
PROPER(dbls(s(z0))) → c48(DBLS(s(proper(z0))), PROPER(s(z0)))
419.73/127.24
PROPER(dbls(dbls(z0))) → c48(DBLS(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.24
PROPER(dbls(cons(z0, z1))) → c48(DBLS(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.24
PROPER(dbls(sel(z0, z1))) → c48(DBLS(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.24
PROPER(dbls(indx(z0, z1))) → c48(DBLS(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.24
PROPER(dbls(from(z0))) → c48(DBLS(from(proper(z0))), PROPER(from(z0)))
419.73/127.24
PROPER(dbls(dbl1(z0))) → c48(DBLS(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.24
PROPER(dbls(s1(z0))) → c48(DBLS(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.24
PROPER(dbls(sel1(z0, z1))) → c48(DBLS(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.24
PROPER(dbls(quote(z0))) → c48(DBLS(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.24
PROPER(dbls(0)) → c48(DBLS(ok(0)))
419.73/127.24
PROPER(dbls(nil)) → c48(DBLS(ok(nil)))
419.73/127.24
PROPER(dbls(01)) → c48(DBLS(ok(01)))
419.73/127.24
PROPER(cons(x0, dbl(z0))) → c50(CONS(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.24
PROPER(cons(x0, s(z0))) → c50(CONS(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.24
PROPER(cons(x0, dbls(z0))) → c50(CONS(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.24
PROPER(cons(x0, cons(z0, z1))) → c50(CONS(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.24
PROPER(cons(x0, sel(z0, z1))) → c50(CONS(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.24
PROPER(cons(x0, indx(z0, z1))) → c50(CONS(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.24
PROPER(cons(x0, from(z0))) → c50(CONS(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.24
PROPER(cons(x0, dbl1(z0))) → c50(CONS(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.24
PROPER(cons(x0, s1(z0))) → c50(CONS(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.24
PROPER(cons(x0, sel1(z0, z1))) → c50(CONS(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.24
PROPER(cons(x0, quote(z0))) → c50(CONS(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.24
PROPER(cons(dbl(z0), x1)) → c50(CONS(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.24
PROPER(cons(s(z0), x1)) → c50(CONS(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.24
PROPER(cons(dbls(z0), x1)) → c50(CONS(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.24
PROPER(cons(cons(z0, z1), x1)) → c50(CONS(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.24
PROPER(cons(sel(z0, z1), x1)) → c50(CONS(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.24
PROPER(cons(indx(z0, z1), x1)) → c50(CONS(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.24
PROPER(cons(from(z0), x1)) → c50(CONS(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.24
PROPER(cons(dbl1(z0), x1)) → c50(CONS(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.24
PROPER(cons(s1(z0), x1)) → c50(CONS(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.24
PROPER(cons(sel1(z0, z1), x1)) → c50(CONS(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.24
PROPER(cons(quote(z0), x1)) → c50(CONS(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.24
PROPER(cons(x0, 0)) → c50(CONS(proper(x0), ok(0)), PROPER(x0))
419.73/127.24
PROPER(cons(x0, nil)) → c50(CONS(proper(x0), ok(nil)), PROPER(x0))
419.73/127.24
PROPER(cons(x0, 01)) → c50(CONS(proper(x0), ok(01)), PROPER(x0))
419.73/127.24
PROPER(cons(0, x1)) → c50(CONS(ok(0), proper(x1)), PROPER(x1))
419.73/127.24
PROPER(cons(nil, x1)) → c50(CONS(ok(nil), proper(x1)), PROPER(x1))
419.73/127.24
PROPER(cons(01, x1)) → c50(CONS(ok(01), proper(x1)), PROPER(x1))
419.73/127.24
PROPER(sel(x0, dbl(z0))) → c51(SEL(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.24
PROPER(sel(x0, s(z0))) → c51(SEL(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.24
PROPER(sel(x0, dbls(z0))) → c51(SEL(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.24
PROPER(sel(x0, cons(z0, z1))) → c51(SEL(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.24
PROPER(sel(x0, sel(z0, z1))) → c51(SEL(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.24
PROPER(sel(x0, indx(z0, z1))) → c51(SEL(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.24
PROPER(sel(x0, from(z0))) → c51(SEL(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.24
PROPER(sel(x0, dbl1(z0))) → c51(SEL(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.24
PROPER(sel(x0, s1(z0))) → c51(SEL(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.24
PROPER(sel(x0, sel1(z0, z1))) → c51(SEL(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.24
PROPER(sel(x0, quote(z0))) → c51(SEL(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.24
PROPER(sel(dbl(z0), x1)) → c51(SEL(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.24
PROPER(sel(s(z0), x1)) → c51(SEL(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.24
PROPER(sel(dbls(z0), x1)) → c51(SEL(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.24
PROPER(sel(cons(z0, z1), x1)) → c51(SEL(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.24
PROPER(sel(sel(z0, z1), x1)) → c51(SEL(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.24
PROPER(sel(indx(z0, z1), x1)) → c51(SEL(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.24
PROPER(sel(from(z0), x1)) → c51(SEL(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.24
PROPER(sel(dbl1(z0), x1)) → c51(SEL(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.24
PROPER(sel(s1(z0), x1)) → c51(SEL(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.24
PROPER(sel(sel1(z0, z1), x1)) → c51(SEL(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.24
PROPER(sel(quote(z0), x1)) → c51(SEL(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.24
PROPER(sel(x0, 0)) → c51(SEL(proper(x0), ok(0)), PROPER(x0))
419.73/127.24
PROPER(sel(x0, nil)) → c51(SEL(proper(x0), ok(nil)), PROPER(x0))
419.73/127.24
PROPER(sel(x0, 01)) → c51(SEL(proper(x0), ok(01)), PROPER(x0))
419.73/127.24
PROPER(sel(0, x1)) → c51(SEL(ok(0), proper(x1)), PROPER(x1))
419.73/127.24
PROPER(sel(nil, x1)) → c51(SEL(ok(nil), proper(x1)), PROPER(x1))
419.73/127.24
PROPER(sel(01, x1)) → c51(SEL(ok(01), proper(x1)), PROPER(x1))
419.73/127.24
PROPER(indx(x0, dbl(z0))) → c52(INDX(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.24
PROPER(indx(x0, s(z0))) → c52(INDX(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.24
PROPER(indx(x0, dbls(z0))) → c52(INDX(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.24
PROPER(indx(x0, cons(z0, z1))) → c52(INDX(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.24
PROPER(indx(x0, sel(z0, z1))) → c52(INDX(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.24
PROPER(indx(x0, indx(z0, z1))) → c52(INDX(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.24
PROPER(indx(x0, from(z0))) → c52(INDX(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.24
PROPER(indx(x0, dbl1(z0))) → c52(INDX(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.24
PROPER(indx(x0, s1(z0))) → c52(INDX(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.24
PROPER(indx(x0, sel1(z0, z1))) → c52(INDX(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.24
PROPER(indx(x0, quote(z0))) → c52(INDX(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.24
PROPER(indx(dbl(z0), x1)) → c52(INDX(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.24
PROPER(indx(s(z0), x1)) → c52(INDX(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.24
PROPER(indx(dbls(z0), x1)) → c52(INDX(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.24
PROPER(indx(cons(z0, z1), x1)) → c52(INDX(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.24
PROPER(indx(sel(z0, z1), x1)) → c52(INDX(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.24
PROPER(indx(indx(z0, z1), x1)) → c52(INDX(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.24
PROPER(indx(from(z0), x1)) → c52(INDX(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.24
PROPER(indx(dbl1(z0), x1)) → c52(INDX(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.24
PROPER(indx(s1(z0), x1)) → c52(INDX(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.24
PROPER(indx(sel1(z0, z1), x1)) → c52(INDX(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.24
PROPER(indx(quote(z0), x1)) → c52(INDX(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.24
PROPER(indx(x0, 0)) → c52(INDX(proper(x0), ok(0)), PROPER(x0))
419.73/127.24
PROPER(indx(x0, nil)) → c52(INDX(proper(x0), ok(nil)), PROPER(x0))
419.73/127.24
PROPER(indx(x0, 01)) → c52(INDX(proper(x0), ok(01)), PROPER(x0))
419.73/127.24
PROPER(indx(0, x1)) → c52(INDX(ok(0), proper(x1)), PROPER(x1))
419.73/127.24
PROPER(indx(nil, x1)) → c52(INDX(ok(nil), proper(x1)), PROPER(x1))
419.73/127.24
PROPER(indx(01, x1)) → c52(INDX(ok(01), proper(x1)), PROPER(x1))
419.73/127.24
PROPER(from(dbl(z0))) → c53(FROM(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.24
PROPER(from(s(z0))) → c53(FROM(s(proper(z0))), PROPER(s(z0)))
419.73/127.24
PROPER(from(dbls(z0))) → c53(FROM(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.24
PROPER(from(cons(z0, z1))) → c53(FROM(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.24
PROPER(from(sel(z0, z1))) → c53(FROM(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.24
PROPER(from(indx(z0, z1))) → c53(FROM(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.24
PROPER(from(from(z0))) → c53(FROM(from(proper(z0))), PROPER(from(z0)))
419.73/127.24
PROPER(from(dbl1(z0))) → c53(FROM(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.24
PROPER(from(s1(z0))) → c53(FROM(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.24
PROPER(from(sel1(z0, z1))) → c53(FROM(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.24
PROPER(from(quote(z0))) → c53(FROM(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.24
PROPER(from(0)) → c53(FROM(ok(0)))
419.73/127.24
PROPER(from(nil)) → c53(FROM(ok(nil)))
419.73/127.24
PROPER(from(01)) → c53(FROM(ok(01)))
S tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.73/127.24
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.73/127.24
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.73/127.24
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.73/127.24
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.73/127.24
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.73/127.24
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.73/127.24
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.73/127.24
DBL(mark(z0)) → c27(DBL(z0))
419.73/127.24
DBL(ok(z0)) → c28(DBL(z0))
419.73/127.24
DBLS(mark(z0)) → c29(DBLS(z0))
419.73/127.24
DBLS(ok(z0)) → c30(DBLS(z0))
419.73/127.24
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.73/127.24
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.73/127.24
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.73/127.24
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.73/127.24
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.73/127.24
DBL1(mark(z0)) → c36(DBL1(z0))
419.73/127.24
DBL1(ok(z0)) → c37(DBL1(z0))
419.73/127.24
S1(mark(z0)) → c38(S1(z0))
419.73/127.24
S1(ok(z0)) → c39(S1(z0))
419.73/127.24
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.73/127.24
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.73/127.24
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.73/127.24
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.73/127.24
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.73/127.24
PROPER(dbl1(z0)) → c54(DBL1(proper(z0)), PROPER(z0))
419.73/127.24
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
419.73/127.24
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.73/127.24
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
419.73/127.24
S(ok(z0)) → c59(S(z0))
419.73/127.24
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.73/127.24
FROM(ok(z0)) → c61(FROM(z0))
419.73/127.24
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
419.73/127.24
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.73/127.24
ACTIVE(from(z0)) → c8(S(z0))
419.73/127.24
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.73/127.24
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.73/127.24
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.73/127.24
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.73/127.24
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.73/127.24
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.73/127.24
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.73/127.24
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.73/127.24
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.73/127.24
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.73/127.24
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.73/127.24
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.73/127.24
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.73/127.24
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.73/127.24
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.24
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.24
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.24
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.24
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.24
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.24
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.24
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.24
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.24
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.24
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.24
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.24
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.24
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.24
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.24
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.24
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.73/127.24
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.73/127.24
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.73/127.24
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.73/127.24
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.73/127.24
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.24
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.24
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.24
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.24
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.24
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.24
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.24
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.24
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.24
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.24
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.24
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.24
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.24
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.24
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.24
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.24
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.73/127.24
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.73/127.24
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.73/127.24
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.24
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.24
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.73/127.24
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.73/127.24
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.24
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.24
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.73/127.24
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.73/127.24
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.24
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.24
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.24
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.24
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.73/127.24
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.73/127.24
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.73/127.24
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.73/127.24
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.73/127.24
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.73/127.24
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.73/127.24
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.73/127.24
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.73/127.24
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.73/127.24
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.73/127.24
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.73/127.24
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.73/127.24
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.73/127.24
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.73/127.24
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.73/127.24
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.73/127.24
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.24
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.24
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.24
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.24
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.73/127.24
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.73/127.24
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.73/127.24
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.73/127.24
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.73/127.24
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.24
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.73/127.24
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.73/127.24
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.24
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.24
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.24
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.24
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.24
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.24
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.24
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.24
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.24
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.24
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.24
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.24
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.24
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.24
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.24
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.24
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.73/127.24
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.73/127.24
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.24
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.73/127.24
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.73/127.24
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.73/127.24
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.73/127.24
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.73/127.24
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.24
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.73/127.24
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.24
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.73/127.24
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.24
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.73/127.24
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.73/127.24
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.24
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.73/127.24
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.24
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.24
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.73/127.24
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.73/127.24
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.73/127.24
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.24
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.24
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.24
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.24
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.24
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.24
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.24
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.24
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.24
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.24
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.24
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.24
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.24
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.24
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.24
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.24
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.24
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.73/127.24
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.73/127.24
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.73/127.24
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.73/127.24
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.73/127.24
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.73/127.24
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.24
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.73/127.24
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.24
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.24
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.73/127.24
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.73/127.24
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.73/127.24
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.73/127.24
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.24
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.24
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.24
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.24
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.24
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.24
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.24
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.24
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.24
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.24
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.24
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.24
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.24
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.24
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.24
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.24
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.73/127.24
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.73/127.24
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.24
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.73/127.24
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.73/127.24
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.73/127.24
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.73/127.24
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.73/127.24
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.73/127.24
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.73/127.24
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.73/127.24
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.24
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.73/127.24
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.24
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.73/127.24
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.73/127.24
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.73/127.24
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.24
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.73/127.24
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.24
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.73/127.24
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.73/127.24
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.24
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.73/127.24
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.24
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.24
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.73/127.24
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.73/127.24
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.73/127.24
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.73/127.24
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.73/127.24
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.24
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.24
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.73/127.24
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.24
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.24
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.24
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.24
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.73/127.24
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.24
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.24
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.24
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.24
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.73/127.24
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.73/127.24
PROPER(dbl(01)) → c45(DBL(ok(01)))
419.73/127.24
PROPER(s(dbl(z0))) → c47(S(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.24
PROPER(s(s(z0))) → c47(S(s(proper(z0))), PROPER(s(z0)))
419.73/127.24
PROPER(s(dbls(z0))) → c47(S(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.24
PROPER(s(cons(z0, z1))) → c47(S(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.24
PROPER(s(sel(z0, z1))) → c47(S(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.24
PROPER(s(indx(z0, z1))) → c47(S(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.24
PROPER(s(from(z0))) → c47(S(from(proper(z0))), PROPER(from(z0)))
419.73/127.24
PROPER(s(dbl1(z0))) → c47(S(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.24
PROPER(s(s1(z0))) → c47(S(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.24
PROPER(s(sel1(z0, z1))) → c47(S(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.24
PROPER(s(quote(z0))) → c47(S(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.24
PROPER(s(0)) → c47(S(ok(0)))
419.73/127.24
PROPER(s(nil)) → c47(S(ok(nil)))
419.73/127.24
PROPER(s(01)) → c47(S(ok(01)))
419.73/127.24
PROPER(dbls(dbl(z0))) → c48(DBLS(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.24
PROPER(dbls(s(z0))) → c48(DBLS(s(proper(z0))), PROPER(s(z0)))
419.73/127.24
PROPER(dbls(dbls(z0))) → c48(DBLS(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.24
PROPER(dbls(cons(z0, z1))) → c48(DBLS(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.24
PROPER(dbls(sel(z0, z1))) → c48(DBLS(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.24
PROPER(dbls(indx(z0, z1))) → c48(DBLS(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.24
PROPER(dbls(from(z0))) → c48(DBLS(from(proper(z0))), PROPER(from(z0)))
419.73/127.24
PROPER(dbls(dbl1(z0))) → c48(DBLS(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.24
PROPER(dbls(s1(z0))) → c48(DBLS(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.24
PROPER(dbls(sel1(z0, z1))) → c48(DBLS(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.24
PROPER(dbls(quote(z0))) → c48(DBLS(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.24
PROPER(dbls(0)) → c48(DBLS(ok(0)))
419.73/127.24
PROPER(dbls(nil)) → c48(DBLS(ok(nil)))
419.73/127.24
PROPER(dbls(01)) → c48(DBLS(ok(01)))
419.73/127.24
PROPER(cons(x0, dbl(z0))) → c50(CONS(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.24
PROPER(cons(x0, s(z0))) → c50(CONS(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.24
PROPER(cons(x0, dbls(z0))) → c50(CONS(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.24
PROPER(cons(x0, cons(z0, z1))) → c50(CONS(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.24
PROPER(cons(x0, sel(z0, z1))) → c50(CONS(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.24
PROPER(cons(x0, indx(z0, z1))) → c50(CONS(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.24
PROPER(cons(x0, from(z0))) → c50(CONS(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.24
PROPER(cons(x0, dbl1(z0))) → c50(CONS(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.24
PROPER(cons(x0, s1(z0))) → c50(CONS(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.24
PROPER(cons(x0, sel1(z0, z1))) → c50(CONS(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.24
PROPER(cons(x0, quote(z0))) → c50(CONS(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.24
PROPER(cons(dbl(z0), x1)) → c50(CONS(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.24
PROPER(cons(s(z0), x1)) → c50(CONS(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.24
PROPER(cons(dbls(z0), x1)) → c50(CONS(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.24
PROPER(cons(cons(z0, z1), x1)) → c50(CONS(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.24
PROPER(cons(sel(z0, z1), x1)) → c50(CONS(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.24
PROPER(cons(indx(z0, z1), x1)) → c50(CONS(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.24
PROPER(cons(from(z0), x1)) → c50(CONS(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.24
PROPER(cons(dbl1(z0), x1)) → c50(CONS(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.24
PROPER(cons(s1(z0), x1)) → c50(CONS(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.24
PROPER(cons(sel1(z0, z1), x1)) → c50(CONS(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.24
PROPER(cons(quote(z0), x1)) → c50(CONS(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.24
PROPER(cons(x0, 0)) → c50(CONS(proper(x0), ok(0)), PROPER(x0))
419.73/127.24
PROPER(cons(x0, nil)) → c50(CONS(proper(x0), ok(nil)), PROPER(x0))
419.73/127.24
PROPER(cons(x0, 01)) → c50(CONS(proper(x0), ok(01)), PROPER(x0))
419.73/127.24
PROPER(cons(0, x1)) → c50(CONS(ok(0), proper(x1)), PROPER(x1))
419.73/127.24
PROPER(cons(nil, x1)) → c50(CONS(ok(nil), proper(x1)), PROPER(x1))
419.73/127.24
PROPER(cons(01, x1)) → c50(CONS(ok(01), proper(x1)), PROPER(x1))
419.73/127.24
PROPER(sel(x0, dbl(z0))) → c51(SEL(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.24
PROPER(sel(x0, s(z0))) → c51(SEL(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.24
PROPER(sel(x0, dbls(z0))) → c51(SEL(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.24
PROPER(sel(x0, cons(z0, z1))) → c51(SEL(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.24
PROPER(sel(x0, sel(z0, z1))) → c51(SEL(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.24
PROPER(sel(x0, indx(z0, z1))) → c51(SEL(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.24
PROPER(sel(x0, from(z0))) → c51(SEL(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.24
PROPER(sel(x0, dbl1(z0))) → c51(SEL(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.24
PROPER(sel(x0, s1(z0))) → c51(SEL(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.24
PROPER(sel(x0, sel1(z0, z1))) → c51(SEL(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.24
PROPER(sel(x0, quote(z0))) → c51(SEL(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.24
PROPER(sel(dbl(z0), x1)) → c51(SEL(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.24
PROPER(sel(s(z0), x1)) → c51(SEL(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.24
PROPER(sel(dbls(z0), x1)) → c51(SEL(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.24
PROPER(sel(cons(z0, z1), x1)) → c51(SEL(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.24
PROPER(sel(sel(z0, z1), x1)) → c51(SEL(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.24
PROPER(sel(indx(z0, z1), x1)) → c51(SEL(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.24
PROPER(sel(from(z0), x1)) → c51(SEL(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.24
PROPER(sel(dbl1(z0), x1)) → c51(SEL(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.24
PROPER(sel(s1(z0), x1)) → c51(SEL(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.24
PROPER(sel(sel1(z0, z1), x1)) → c51(SEL(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.24
PROPER(sel(quote(z0), x1)) → c51(SEL(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.24
PROPER(sel(x0, 0)) → c51(SEL(proper(x0), ok(0)), PROPER(x0))
419.73/127.24
PROPER(sel(x0, nil)) → c51(SEL(proper(x0), ok(nil)), PROPER(x0))
419.73/127.24
PROPER(sel(x0, 01)) → c51(SEL(proper(x0), ok(01)), PROPER(x0))
419.73/127.24
PROPER(sel(0, x1)) → c51(SEL(ok(0), proper(x1)), PROPER(x1))
419.73/127.24
PROPER(sel(nil, x1)) → c51(SEL(ok(nil), proper(x1)), PROPER(x1))
419.73/127.24
PROPER(sel(01, x1)) → c51(SEL(ok(01), proper(x1)), PROPER(x1))
419.73/127.24
PROPER(indx(x0, dbl(z0))) → c52(INDX(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.24
PROPER(indx(x0, s(z0))) → c52(INDX(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.24
PROPER(indx(x0, dbls(z0))) → c52(INDX(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.24
PROPER(indx(x0, cons(z0, z1))) → c52(INDX(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.24
PROPER(indx(x0, sel(z0, z1))) → c52(INDX(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.24
PROPER(indx(x0, indx(z0, z1))) → c52(INDX(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.24
PROPER(indx(x0, from(z0))) → c52(INDX(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.24
PROPER(indx(x0, dbl1(z0))) → c52(INDX(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.24
PROPER(indx(x0, s1(z0))) → c52(INDX(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.24
PROPER(indx(x0, sel1(z0, z1))) → c52(INDX(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.24
PROPER(indx(x0, quote(z0))) → c52(INDX(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.24
PROPER(indx(dbl(z0), x1)) → c52(INDX(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.24
PROPER(indx(s(z0), x1)) → c52(INDX(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.24
PROPER(indx(dbls(z0), x1)) → c52(INDX(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.24
PROPER(indx(cons(z0, z1), x1)) → c52(INDX(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.24
PROPER(indx(sel(z0, z1), x1)) → c52(INDX(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.24
PROPER(indx(indx(z0, z1), x1)) → c52(INDX(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.24
PROPER(indx(from(z0), x1)) → c52(INDX(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.24
PROPER(indx(dbl1(z0), x1)) → c52(INDX(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.24
PROPER(indx(s1(z0), x1)) → c52(INDX(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.24
PROPER(indx(sel1(z0, z1), x1)) → c52(INDX(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.24
PROPER(indx(quote(z0), x1)) → c52(INDX(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.24
PROPER(indx(x0, 0)) → c52(INDX(proper(x0), ok(0)), PROPER(x0))
419.73/127.24
PROPER(indx(x0, nil)) → c52(INDX(proper(x0), ok(nil)), PROPER(x0))
419.73/127.24
PROPER(indx(x0, 01)) → c52(INDX(proper(x0), ok(01)), PROPER(x0))
419.73/127.24
PROPER(indx(0, x1)) → c52(INDX(ok(0), proper(x1)), PROPER(x1))
419.73/127.24
PROPER(indx(nil, x1)) → c52(INDX(ok(nil), proper(x1)), PROPER(x1))
419.73/127.24
PROPER(indx(01, x1)) → c52(INDX(ok(01), proper(x1)), PROPER(x1))
419.73/127.24
PROPER(from(dbl(z0))) → c53(FROM(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.24
PROPER(from(s(z0))) → c53(FROM(s(proper(z0))), PROPER(s(z0)))
419.73/127.24
PROPER(from(dbls(z0))) → c53(FROM(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.24
PROPER(from(cons(z0, z1))) → c53(FROM(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.24
PROPER(from(sel(z0, z1))) → c53(FROM(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.24
PROPER(from(indx(z0, z1))) → c53(FROM(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.24
PROPER(from(from(z0))) → c53(FROM(from(proper(z0))), PROPER(from(z0)))
419.73/127.24
PROPER(from(dbl1(z0))) → c53(FROM(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.24
PROPER(from(s1(z0))) → c53(FROM(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.24
PROPER(from(sel1(z0, z1))) → c53(FROM(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.24
PROPER(from(quote(z0))) → c53(FROM(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.24
PROPER(from(0)) → c53(FROM(ok(0)))
419.73/127.24
PROPER(from(nil)) → c53(FROM(ok(nil)))
419.73/127.24
PROPER(from(01)) → c53(FROM(ok(01)))
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
ACTIVE, DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, PROPER, S, CONS, FROM, TOP
Compound Symbols:
c5, c12, c15, c16, c19, c20, c24, c25, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c54, c56, c57, c58, c59, c60, c61, c62, c63, c8, c, c17, c17, c1, c18, c18, c2, c21, c21, c3, c22, c22, c4, c23, c23, c6, c26, c26, c7, c45, c45, c47, c47, c48, c48, c50, c50, c51, c51, c52, c52, c53, c53
419.73/127.24
419.73/127.24
(71) CdtNarrowingProof (BOTH BOUNDS(ID, ID) transformation)
Use narrowing to replace
PROPER(
dbl1(
z0)) →
c54(
DBL1(
proper(
z0)),
PROPER(
z0)) by
PROPER(dbl1(dbl(z0))) → c54(DBL1(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.24
PROPER(dbl1(0)) → c54(DBL1(ok(0)), PROPER(0))
419.73/127.24
PROPER(dbl1(s(z0))) → c54(DBL1(s(proper(z0))), PROPER(s(z0)))
419.73/127.24
PROPER(dbl1(dbls(z0))) → c54(DBL1(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.24
PROPER(dbl1(nil)) → c54(DBL1(ok(nil)), PROPER(nil))
419.73/127.24
PROPER(dbl1(cons(z0, z1))) → c54(DBL1(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.24
PROPER(dbl1(sel(z0, z1))) → c54(DBL1(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.24
PROPER(dbl1(indx(z0, z1))) → c54(DBL1(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.24
PROPER(dbl1(from(z0))) → c54(DBL1(from(proper(z0))), PROPER(from(z0)))
419.73/127.24
PROPER(dbl1(dbl1(z0))) → c54(DBL1(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.24
PROPER(dbl1(01)) → c54(DBL1(ok(01)), PROPER(01))
419.73/127.24
PROPER(dbl1(s1(z0))) → c54(DBL1(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.24
PROPER(dbl1(sel1(z0, z1))) → c54(DBL1(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.24
PROPER(dbl1(quote(z0))) → c54(DBL1(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.24
419.73/127.24
(72) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
419.73/127.24
active(dbl(s(z0))) → mark(s(s(dbl(z0))))
419.73/127.24
active(dbls(nil)) → mark(nil)
419.73/127.24
active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
419.73/127.24
active(sel(0, cons(z0, z1))) → mark(z0)
419.73/127.24
active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
419.73/127.24
active(indx(nil, z0)) → mark(nil)
419.73/127.24
active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
419.73/127.24
active(from(z0)) → mark(cons(z0, from(s(z0))))
419.73/127.24
active(dbl1(0)) → mark(01)
419.73/127.24
active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
419.73/127.24
active(sel1(0, cons(z0, z1))) → mark(z0)
419.73/127.24
active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
419.73/127.24
active(quote(0)) → mark(01)
419.73/127.24
active(quote(s(z0))) → mark(s1(quote(z0)))
419.73/127.24
active(quote(dbl(z0))) → mark(dbl1(z0))
419.73/127.24
active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
419.73/127.24
active(dbl(z0)) → dbl(active(z0))
419.73/127.24
active(dbls(z0)) → dbls(active(z0))
419.73/127.24
active(sel(z0, z1)) → sel(active(z0), z1)
419.73/127.24
active(sel(z0, z1)) → sel(z0, active(z1))
419.73/127.24
active(indx(z0, z1)) → indx(active(z0), z1)
419.73/127.24
active(dbl1(z0)) → dbl1(active(z0))
419.73/127.24
active(s1(z0)) → s1(active(z0))
419.73/127.24
active(sel1(z0, z1)) → sel1(active(z0), z1)
419.73/127.24
active(sel1(z0, z1)) → sel1(z0, active(z1))
419.73/127.24
active(quote(z0)) → quote(active(z0))
419.73/127.24
dbl(mark(z0)) → mark(dbl(z0))
419.73/127.24
dbl(ok(z0)) → ok(dbl(z0))
419.73/127.24
dbls(mark(z0)) → mark(dbls(z0))
419.73/127.24
dbls(ok(z0)) → ok(dbls(z0))
419.73/127.24
sel(mark(z0), z1) → mark(sel(z0, z1))
419.73/127.24
sel(z0, mark(z1)) → mark(sel(z0, z1))
419.73/127.24
sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
419.73/127.24
indx(mark(z0), z1) → mark(indx(z0, z1))
419.73/127.24
indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
419.73/127.24
dbl1(mark(z0)) → mark(dbl1(z0))
419.73/127.24
dbl1(ok(z0)) → ok(dbl1(z0))
419.73/127.24
s1(mark(z0)) → mark(s1(z0))
419.73/127.24
s1(ok(z0)) → ok(s1(z0))
419.73/127.24
sel1(mark(z0), z1) → mark(sel1(z0, z1))
419.73/127.24
sel1(z0, mark(z1)) → mark(sel1(z0, z1))
419.73/127.24
sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
419.73/127.24
quote(mark(z0)) → mark(quote(z0))
419.73/127.24
quote(ok(z0)) → ok(quote(z0))
419.73/127.24
proper(dbl(z0)) → dbl(proper(z0))
419.73/127.24
proper(0) → ok(0)
419.73/127.24
proper(s(z0)) → s(proper(z0))
419.73/127.24
proper(dbls(z0)) → dbls(proper(z0))
419.73/127.24
proper(nil) → ok(nil)
419.73/127.24
proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
419.73/127.24
proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
419.73/127.24
proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
419.73/127.24
proper(from(z0)) → from(proper(z0))
419.73/127.24
proper(dbl1(z0)) → dbl1(proper(z0))
419.73/127.24
proper(01) → ok(01)
419.73/127.24
proper(s1(z0)) → s1(proper(z0))
419.73/127.24
proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
419.73/127.24
proper(quote(z0)) → quote(proper(z0))
419.73/127.24
s(ok(z0)) → ok(s(z0))
419.73/127.24
cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
419.73/127.24
from(ok(z0)) → ok(from(z0))
419.73/127.24
top(mark(z0)) → top(proper(z0))
419.73/127.24
top(ok(z0)) → top(active(z0))
Tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.73/127.24
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.73/127.24
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.73/127.24
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.73/127.24
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.73/127.24
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.73/127.24
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.73/127.24
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.73/127.24
DBL(mark(z0)) → c27(DBL(z0))
419.73/127.24
DBL(ok(z0)) → c28(DBL(z0))
419.73/127.24
DBLS(mark(z0)) → c29(DBLS(z0))
419.73/127.24
DBLS(ok(z0)) → c30(DBLS(z0))
419.73/127.24
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.73/127.24
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.73/127.24
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.73/127.24
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.73/127.24
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.73/127.24
DBL1(mark(z0)) → c36(DBL1(z0))
419.73/127.24
DBL1(ok(z0)) → c37(DBL1(z0))
419.73/127.24
S1(mark(z0)) → c38(S1(z0))
419.73/127.24
S1(ok(z0)) → c39(S1(z0))
419.73/127.24
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.73/127.24
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.73/127.24
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.73/127.24
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.73/127.24
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.73/127.24
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
419.73/127.24
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.73/127.24
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
419.73/127.24
S(ok(z0)) → c59(S(z0))
419.73/127.24
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.73/127.24
FROM(ok(z0)) → c61(FROM(z0))
419.73/127.24
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
419.73/127.24
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.73/127.24
ACTIVE(from(z0)) → c8(S(z0))
419.73/127.24
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.73/127.24
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.73/127.24
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.73/127.24
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.73/127.24
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.73/127.24
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.73/127.24
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.73/127.24
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.73/127.24
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.73/127.24
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.73/127.24
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.73/127.24
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.73/127.24
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.73/127.24
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.73/127.24
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.24
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.24
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.24
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.24
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.24
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.24
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.24
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.24
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.24
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.24
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.24
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.24
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.24
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.24
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.24
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.24
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.73/127.24
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.73/127.24
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.73/127.24
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.73/127.24
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.73/127.24
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.24
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.24
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.24
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.24
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.24
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.24
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.24
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.24
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.24
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.24
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.24
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.24
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.24
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.24
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.24
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.24
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.73/127.24
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.73/127.24
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.73/127.24
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.24
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.24
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.73/127.24
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.73/127.24
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.24
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.24
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.73/127.24
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.73/127.24
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.24
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.24
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.24
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.24
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.73/127.24
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.73/127.24
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.73/127.24
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.73/127.24
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.73/127.24
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.73/127.24
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.73/127.24
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.73/127.24
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.73/127.24
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.73/127.24
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.73/127.24
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.73/127.24
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.73/127.24
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.73/127.24
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.73/127.24
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.73/127.24
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.73/127.24
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.24
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.24
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.24
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.24
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.73/127.24
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.73/127.24
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.73/127.24
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.73/127.24
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.73/127.24
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.24
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.73/127.24
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.73/127.24
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.24
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.24
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.24
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.24
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.24
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.24
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.24
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.24
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.24
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.24
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.24
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.24
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.24
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.24
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.24
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.24
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.73/127.24
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.73/127.24
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.24
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.73/127.24
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.73/127.24
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.73/127.24
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.73/127.24
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.73/127.24
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.24
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.73/127.24
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.24
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.73/127.24
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.24
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.73/127.24
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.73/127.24
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.24
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.73/127.24
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.24
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.24
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.73/127.24
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.73/127.24
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.73/127.24
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.24
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.24
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.24
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.24
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.24
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.24
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.24
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.24
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.24
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.24
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.24
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.24
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.24
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.24
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.24
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.24
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.24
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.73/127.24
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.73/127.24
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.73/127.24
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.73/127.24
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.73/127.24
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.73/127.24
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.24
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.73/127.24
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.24
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.24
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.73/127.24
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.73/127.24
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.73/127.24
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.73/127.24
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.24
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.24
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.24
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.24
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.24
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.24
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.24
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.24
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.24
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.24
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.24
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.24
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.24
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.24
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.24
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.24
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.73/127.24
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.73/127.24
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.24
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.73/127.24
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.73/127.24
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.73/127.24
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.73/127.24
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.73/127.24
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.73/127.24
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.73/127.24
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.73/127.24
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.24
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.73/127.24
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.24
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.73/127.24
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.73/127.24
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.73/127.24
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.24
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.73/127.24
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.24
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.73/127.24
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.73/127.24
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.24
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.73/127.24
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.24
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.24
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.73/127.24
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.73/127.24
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.73/127.24
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.73/127.24
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.73/127.24
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.24
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.24
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.73/127.24
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.24
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.24
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.24
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.24
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.73/127.24
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.24
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.24
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.24
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.24
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.73/127.24
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.73/127.24
PROPER(dbl(01)) → c45(DBL(ok(01)))
419.73/127.24
PROPER(s(dbl(z0))) → c47(S(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.24
PROPER(s(s(z0))) → c47(S(s(proper(z0))), PROPER(s(z0)))
419.73/127.24
PROPER(s(dbls(z0))) → c47(S(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.24
PROPER(s(cons(z0, z1))) → c47(S(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.24
PROPER(s(sel(z0, z1))) → c47(S(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.24
PROPER(s(indx(z0, z1))) → c47(S(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.24
PROPER(s(from(z0))) → c47(S(from(proper(z0))), PROPER(from(z0)))
419.73/127.24
PROPER(s(dbl1(z0))) → c47(S(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.24
PROPER(s(s1(z0))) → c47(S(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.24
PROPER(s(sel1(z0, z1))) → c47(S(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.24
PROPER(s(quote(z0))) → c47(S(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.24
PROPER(s(0)) → c47(S(ok(0)))
419.73/127.24
PROPER(s(nil)) → c47(S(ok(nil)))
419.73/127.24
PROPER(s(01)) → c47(S(ok(01)))
419.73/127.24
PROPER(dbls(dbl(z0))) → c48(DBLS(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.24
PROPER(dbls(s(z0))) → c48(DBLS(s(proper(z0))), PROPER(s(z0)))
419.73/127.24
PROPER(dbls(dbls(z0))) → c48(DBLS(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.24
PROPER(dbls(cons(z0, z1))) → c48(DBLS(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.24
PROPER(dbls(sel(z0, z1))) → c48(DBLS(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.24
PROPER(dbls(indx(z0, z1))) → c48(DBLS(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.24
PROPER(dbls(from(z0))) → c48(DBLS(from(proper(z0))), PROPER(from(z0)))
419.73/127.24
PROPER(dbls(dbl1(z0))) → c48(DBLS(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.24
PROPER(dbls(s1(z0))) → c48(DBLS(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.24
PROPER(dbls(sel1(z0, z1))) → c48(DBLS(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.24
PROPER(dbls(quote(z0))) → c48(DBLS(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.24
PROPER(dbls(0)) → c48(DBLS(ok(0)))
419.73/127.24
PROPER(dbls(nil)) → c48(DBLS(ok(nil)))
419.73/127.24
PROPER(dbls(01)) → c48(DBLS(ok(01)))
419.73/127.24
PROPER(cons(x0, dbl(z0))) → c50(CONS(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.24
PROPER(cons(x0, s(z0))) → c50(CONS(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.24
PROPER(cons(x0, dbls(z0))) → c50(CONS(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.24
PROPER(cons(x0, cons(z0, z1))) → c50(CONS(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.24
PROPER(cons(x0, sel(z0, z1))) → c50(CONS(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.24
PROPER(cons(x0, indx(z0, z1))) → c50(CONS(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.24
PROPER(cons(x0, from(z0))) → c50(CONS(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.24
PROPER(cons(x0, dbl1(z0))) → c50(CONS(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.24
PROPER(cons(x0, s1(z0))) → c50(CONS(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.24
PROPER(cons(x0, sel1(z0, z1))) → c50(CONS(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.24
PROPER(cons(x0, quote(z0))) → c50(CONS(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.24
PROPER(cons(dbl(z0), x1)) → c50(CONS(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.24
PROPER(cons(s(z0), x1)) → c50(CONS(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.24
PROPER(cons(dbls(z0), x1)) → c50(CONS(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.24
PROPER(cons(cons(z0, z1), x1)) → c50(CONS(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.24
PROPER(cons(sel(z0, z1), x1)) → c50(CONS(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.24
PROPER(cons(indx(z0, z1), x1)) → c50(CONS(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.24
PROPER(cons(from(z0), x1)) → c50(CONS(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.24
PROPER(cons(dbl1(z0), x1)) → c50(CONS(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.24
PROPER(cons(s1(z0), x1)) → c50(CONS(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.24
PROPER(cons(sel1(z0, z1), x1)) → c50(CONS(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.24
PROPER(cons(quote(z0), x1)) → c50(CONS(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.24
PROPER(cons(x0, 0)) → c50(CONS(proper(x0), ok(0)), PROPER(x0))
419.73/127.24
PROPER(cons(x0, nil)) → c50(CONS(proper(x0), ok(nil)), PROPER(x0))
419.73/127.24
PROPER(cons(x0, 01)) → c50(CONS(proper(x0), ok(01)), PROPER(x0))
419.73/127.24
PROPER(cons(0, x1)) → c50(CONS(ok(0), proper(x1)), PROPER(x1))
419.73/127.24
PROPER(cons(nil, x1)) → c50(CONS(ok(nil), proper(x1)), PROPER(x1))
419.73/127.24
PROPER(cons(01, x1)) → c50(CONS(ok(01), proper(x1)), PROPER(x1))
419.73/127.24
PROPER(sel(x0, dbl(z0))) → c51(SEL(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.24
PROPER(sel(x0, s(z0))) → c51(SEL(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.24
PROPER(sel(x0, dbls(z0))) → c51(SEL(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.24
PROPER(sel(x0, cons(z0, z1))) → c51(SEL(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.24
PROPER(sel(x0, sel(z0, z1))) → c51(SEL(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.24
PROPER(sel(x0, indx(z0, z1))) → c51(SEL(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.24
PROPER(sel(x0, from(z0))) → c51(SEL(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.24
PROPER(sel(x0, dbl1(z0))) → c51(SEL(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.24
PROPER(sel(x0, s1(z0))) → c51(SEL(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.24
PROPER(sel(x0, sel1(z0, z1))) → c51(SEL(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.24
PROPER(sel(x0, quote(z0))) → c51(SEL(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.24
PROPER(sel(dbl(z0), x1)) → c51(SEL(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.24
PROPER(sel(s(z0), x1)) → c51(SEL(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.24
PROPER(sel(dbls(z0), x1)) → c51(SEL(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.24
PROPER(sel(cons(z0, z1), x1)) → c51(SEL(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.24
PROPER(sel(sel(z0, z1), x1)) → c51(SEL(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.24
PROPER(sel(indx(z0, z1), x1)) → c51(SEL(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.24
PROPER(sel(from(z0), x1)) → c51(SEL(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.24
PROPER(sel(dbl1(z0), x1)) → c51(SEL(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.24
PROPER(sel(s1(z0), x1)) → c51(SEL(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.24
PROPER(sel(sel1(z0, z1), x1)) → c51(SEL(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.24
PROPER(sel(quote(z0), x1)) → c51(SEL(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.24
PROPER(sel(x0, 0)) → c51(SEL(proper(x0), ok(0)), PROPER(x0))
419.73/127.24
PROPER(sel(x0, nil)) → c51(SEL(proper(x0), ok(nil)), PROPER(x0))
419.73/127.24
PROPER(sel(x0, 01)) → c51(SEL(proper(x0), ok(01)), PROPER(x0))
419.73/127.24
PROPER(sel(0, x1)) → c51(SEL(ok(0), proper(x1)), PROPER(x1))
419.73/127.24
PROPER(sel(nil, x1)) → c51(SEL(ok(nil), proper(x1)), PROPER(x1))
419.73/127.24
PROPER(sel(01, x1)) → c51(SEL(ok(01), proper(x1)), PROPER(x1))
419.73/127.24
PROPER(indx(x0, dbl(z0))) → c52(INDX(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.24
PROPER(indx(x0, s(z0))) → c52(INDX(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.24
PROPER(indx(x0, dbls(z0))) → c52(INDX(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.24
PROPER(indx(x0, cons(z0, z1))) → c52(INDX(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.24
PROPER(indx(x0, sel(z0, z1))) → c52(INDX(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.24
PROPER(indx(x0, indx(z0, z1))) → c52(INDX(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.24
PROPER(indx(x0, from(z0))) → c52(INDX(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.24
PROPER(indx(x0, dbl1(z0))) → c52(INDX(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.24
PROPER(indx(x0, s1(z0))) → c52(INDX(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.24
PROPER(indx(x0, sel1(z0, z1))) → c52(INDX(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.24
PROPER(indx(x0, quote(z0))) → c52(INDX(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.24
PROPER(indx(dbl(z0), x1)) → c52(INDX(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.24
PROPER(indx(s(z0), x1)) → c52(INDX(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.24
PROPER(indx(dbls(z0), x1)) → c52(INDX(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.24
PROPER(indx(cons(z0, z1), x1)) → c52(INDX(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.24
PROPER(indx(sel(z0, z1), x1)) → c52(INDX(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.24
PROPER(indx(indx(z0, z1), x1)) → c52(INDX(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.24
PROPER(indx(from(z0), x1)) → c52(INDX(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.24
PROPER(indx(dbl1(z0), x1)) → c52(INDX(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.24
PROPER(indx(s1(z0), x1)) → c52(INDX(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.24
PROPER(indx(sel1(z0, z1), x1)) → c52(INDX(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.24
PROPER(indx(quote(z0), x1)) → c52(INDX(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.24
PROPER(indx(x0, 0)) → c52(INDX(proper(x0), ok(0)), PROPER(x0))
419.73/127.24
PROPER(indx(x0, nil)) → c52(INDX(proper(x0), ok(nil)), PROPER(x0))
419.73/127.24
PROPER(indx(x0, 01)) → c52(INDX(proper(x0), ok(01)), PROPER(x0))
419.73/127.24
PROPER(indx(0, x1)) → c52(INDX(ok(0), proper(x1)), PROPER(x1))
419.73/127.24
PROPER(indx(nil, x1)) → c52(INDX(ok(nil), proper(x1)), PROPER(x1))
419.73/127.24
PROPER(indx(01, x1)) → c52(INDX(ok(01), proper(x1)), PROPER(x1))
419.73/127.24
PROPER(from(dbl(z0))) → c53(FROM(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.24
PROPER(from(s(z0))) → c53(FROM(s(proper(z0))), PROPER(s(z0)))
419.73/127.24
PROPER(from(dbls(z0))) → c53(FROM(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.24
PROPER(from(cons(z0, z1))) → c53(FROM(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.24
PROPER(from(sel(z0, z1))) → c53(FROM(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.24
PROPER(from(indx(z0, z1))) → c53(FROM(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.24
PROPER(from(from(z0))) → c53(FROM(from(proper(z0))), PROPER(from(z0)))
419.73/127.24
PROPER(from(dbl1(z0))) → c53(FROM(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.24
PROPER(from(s1(z0))) → c53(FROM(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.24
PROPER(from(sel1(z0, z1))) → c53(FROM(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.24
PROPER(from(quote(z0))) → c53(FROM(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.24
PROPER(from(0)) → c53(FROM(ok(0)))
419.73/127.24
PROPER(from(nil)) → c53(FROM(ok(nil)))
419.73/127.24
PROPER(from(01)) → c53(FROM(ok(01)))
419.73/127.24
PROPER(dbl1(dbl(z0))) → c54(DBL1(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.24
PROPER(dbl1(0)) → c54(DBL1(ok(0)), PROPER(0))
419.73/127.24
PROPER(dbl1(s(z0))) → c54(DBL1(s(proper(z0))), PROPER(s(z0)))
419.73/127.24
PROPER(dbl1(dbls(z0))) → c54(DBL1(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.24
PROPER(dbl1(nil)) → c54(DBL1(ok(nil)), PROPER(nil))
419.73/127.24
PROPER(dbl1(cons(z0, z1))) → c54(DBL1(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.24
PROPER(dbl1(sel(z0, z1))) → c54(DBL1(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.24
PROPER(dbl1(indx(z0, z1))) → c54(DBL1(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.24
PROPER(dbl1(from(z0))) → c54(DBL1(from(proper(z0))), PROPER(from(z0)))
419.73/127.24
PROPER(dbl1(dbl1(z0))) → c54(DBL1(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.24
PROPER(dbl1(01)) → c54(DBL1(ok(01)), PROPER(01))
419.73/127.24
PROPER(dbl1(s1(z0))) → c54(DBL1(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.24
PROPER(dbl1(sel1(z0, z1))) → c54(DBL1(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.24
PROPER(dbl1(quote(z0))) → c54(DBL1(quote(proper(z0))), PROPER(quote(z0)))
S tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.73/127.24
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.73/127.24
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.73/127.24
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.73/127.24
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.73/127.24
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.73/127.24
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.73/127.24
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.73/127.24
DBL(mark(z0)) → c27(DBL(z0))
419.73/127.24
DBL(ok(z0)) → c28(DBL(z0))
419.73/127.24
DBLS(mark(z0)) → c29(DBLS(z0))
419.73/127.24
DBLS(ok(z0)) → c30(DBLS(z0))
419.73/127.24
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.73/127.24
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.73/127.24
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.73/127.24
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.73/127.24
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.73/127.24
DBL1(mark(z0)) → c36(DBL1(z0))
419.73/127.24
DBL1(ok(z0)) → c37(DBL1(z0))
419.73/127.24
S1(mark(z0)) → c38(S1(z0))
419.73/127.24
S1(ok(z0)) → c39(S1(z0))
419.73/127.24
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.73/127.24
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.73/127.24
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.73/127.24
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.73/127.24
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.73/127.24
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
419.73/127.24
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.73/127.24
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
419.73/127.24
S(ok(z0)) → c59(S(z0))
419.73/127.24
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.73/127.24
FROM(ok(z0)) → c61(FROM(z0))
419.73/127.24
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
419.73/127.24
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.73/127.24
ACTIVE(from(z0)) → c8(S(z0))
419.73/127.24
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.73/127.24
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.73/127.24
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.73/127.24
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.73/127.24
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.73/127.24
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.73/127.24
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.73/127.24
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.73/127.24
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.73/127.24
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.73/127.24
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.73/127.24
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.73/127.24
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.73/127.24
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.73/127.24
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.24
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.24
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.24
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.24
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.24
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.24
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.24
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.24
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.24
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.24
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.24
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.24
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.24
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.24
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.24
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.24
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.73/127.24
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.73/127.24
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.73/127.24
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.73/127.24
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.73/127.24
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.24
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.24
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.24
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.24
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.24
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.24
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.24
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.24
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.24
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.24
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.24
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.24
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.24
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.24
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.24
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.24
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.73/127.24
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.73/127.24
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.73/127.24
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.24
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.24
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.73/127.24
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.73/127.24
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.24
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.24
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.73/127.24
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.73/127.24
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.24
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.24
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.24
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.24
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.73/127.24
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.73/127.24
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.73/127.24
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.73/127.24
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.73/127.24
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.73/127.24
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.73/127.24
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.73/127.24
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.73/127.24
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.73/127.24
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.73/127.24
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.73/127.24
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.73/127.24
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.73/127.24
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.73/127.24
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.73/127.24
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.73/127.24
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.24
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.24
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.24
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.24
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.73/127.24
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.73/127.24
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.73/127.24
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.73/127.24
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.73/127.24
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.24
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.73/127.24
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.73/127.24
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.24
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.24
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.24
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.24
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.24
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.24
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.24
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.24
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.24
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.25
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.25
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.25
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.25
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.25
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.25
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.25
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.73/127.25
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.73/127.25
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.25
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.73/127.25
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.73/127.25
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.73/127.25
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.73/127.25
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.73/127.25
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.25
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.73/127.25
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.25
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.73/127.25
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.25
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.73/127.25
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.73/127.25
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.25
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.73/127.25
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.25
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.25
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.73/127.25
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.73/127.25
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.73/127.25
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.25
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.25
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.25
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.25
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.25
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.25
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.25
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.25
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.25
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.25
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.25
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.25
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.25
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.25
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.25
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.25
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.25
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.73/127.25
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.73/127.25
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.73/127.25
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.73/127.25
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.73/127.25
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.73/127.25
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.25
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.73/127.25
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.25
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.25
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.73/127.25
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.73/127.25
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.73/127.25
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.73/127.25
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.25
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.25
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.25
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.25
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.25
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.25
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.25
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.25
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.25
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.25
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.25
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.25
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.25
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.25
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.25
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.25
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.73/127.25
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.73/127.25
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.25
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.73/127.25
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.73/127.25
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.73/127.25
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.73/127.25
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.73/127.25
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.73/127.25
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.73/127.25
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.73/127.25
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.25
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.73/127.25
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.25
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.73/127.25
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.73/127.25
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.73/127.25
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.25
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.73/127.25
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.25
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.73/127.25
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.73/127.25
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.25
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.73/127.25
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.25
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.25
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.73/127.25
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.73/127.25
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.73/127.25
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.73/127.25
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.73/127.25
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.25
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.25
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.73/127.25
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.25
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.25
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.25
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.25
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.73/127.25
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.25
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.25
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.25
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.25
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.73/127.25
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.73/127.25
PROPER(dbl(01)) → c45(DBL(ok(01)))
419.73/127.25
PROPER(s(dbl(z0))) → c47(S(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.25
PROPER(s(s(z0))) → c47(S(s(proper(z0))), PROPER(s(z0)))
419.73/127.25
PROPER(s(dbls(z0))) → c47(S(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.25
PROPER(s(cons(z0, z1))) → c47(S(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.25
PROPER(s(sel(z0, z1))) → c47(S(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.25
PROPER(s(indx(z0, z1))) → c47(S(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.25
PROPER(s(from(z0))) → c47(S(from(proper(z0))), PROPER(from(z0)))
419.73/127.25
PROPER(s(dbl1(z0))) → c47(S(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.25
PROPER(s(s1(z0))) → c47(S(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.25
PROPER(s(sel1(z0, z1))) → c47(S(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.25
PROPER(s(quote(z0))) → c47(S(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.25
PROPER(s(0)) → c47(S(ok(0)))
419.73/127.25
PROPER(s(nil)) → c47(S(ok(nil)))
419.73/127.25
PROPER(s(01)) → c47(S(ok(01)))
419.73/127.25
PROPER(dbls(dbl(z0))) → c48(DBLS(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.25
PROPER(dbls(s(z0))) → c48(DBLS(s(proper(z0))), PROPER(s(z0)))
419.73/127.25
PROPER(dbls(dbls(z0))) → c48(DBLS(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.25
PROPER(dbls(cons(z0, z1))) → c48(DBLS(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.25
PROPER(dbls(sel(z0, z1))) → c48(DBLS(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.25
PROPER(dbls(indx(z0, z1))) → c48(DBLS(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.25
PROPER(dbls(from(z0))) → c48(DBLS(from(proper(z0))), PROPER(from(z0)))
419.73/127.25
PROPER(dbls(dbl1(z0))) → c48(DBLS(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.25
PROPER(dbls(s1(z0))) → c48(DBLS(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.25
PROPER(dbls(sel1(z0, z1))) → c48(DBLS(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.25
PROPER(dbls(quote(z0))) → c48(DBLS(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.25
PROPER(dbls(0)) → c48(DBLS(ok(0)))
419.73/127.25
PROPER(dbls(nil)) → c48(DBLS(ok(nil)))
419.73/127.25
PROPER(dbls(01)) → c48(DBLS(ok(01)))
419.73/127.25
PROPER(cons(x0, dbl(z0))) → c50(CONS(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.25
PROPER(cons(x0, s(z0))) → c50(CONS(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.25
PROPER(cons(x0, dbls(z0))) → c50(CONS(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.25
PROPER(cons(x0, cons(z0, z1))) → c50(CONS(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.25
PROPER(cons(x0, sel(z0, z1))) → c50(CONS(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.25
PROPER(cons(x0, indx(z0, z1))) → c50(CONS(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.25
PROPER(cons(x0, from(z0))) → c50(CONS(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.25
PROPER(cons(x0, dbl1(z0))) → c50(CONS(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.25
PROPER(cons(x0, s1(z0))) → c50(CONS(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.25
PROPER(cons(x0, sel1(z0, z1))) → c50(CONS(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.25
PROPER(cons(x0, quote(z0))) → c50(CONS(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.25
PROPER(cons(dbl(z0), x1)) → c50(CONS(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.25
PROPER(cons(s(z0), x1)) → c50(CONS(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.25
PROPER(cons(dbls(z0), x1)) → c50(CONS(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.25
PROPER(cons(cons(z0, z1), x1)) → c50(CONS(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.25
PROPER(cons(sel(z0, z1), x1)) → c50(CONS(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.25
PROPER(cons(indx(z0, z1), x1)) → c50(CONS(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.25
PROPER(cons(from(z0), x1)) → c50(CONS(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.25
PROPER(cons(dbl1(z0), x1)) → c50(CONS(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.25
PROPER(cons(s1(z0), x1)) → c50(CONS(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.25
PROPER(cons(sel1(z0, z1), x1)) → c50(CONS(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.25
PROPER(cons(quote(z0), x1)) → c50(CONS(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.25
PROPER(cons(x0, 0)) → c50(CONS(proper(x0), ok(0)), PROPER(x0))
419.73/127.25
PROPER(cons(x0, nil)) → c50(CONS(proper(x0), ok(nil)), PROPER(x0))
419.73/127.25
PROPER(cons(x0, 01)) → c50(CONS(proper(x0), ok(01)), PROPER(x0))
419.73/127.25
PROPER(cons(0, x1)) → c50(CONS(ok(0), proper(x1)), PROPER(x1))
419.73/127.25
PROPER(cons(nil, x1)) → c50(CONS(ok(nil), proper(x1)), PROPER(x1))
419.73/127.25
PROPER(cons(01, x1)) → c50(CONS(ok(01), proper(x1)), PROPER(x1))
419.73/127.25
PROPER(sel(x0, dbl(z0))) → c51(SEL(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.25
PROPER(sel(x0, s(z0))) → c51(SEL(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.25
PROPER(sel(x0, dbls(z0))) → c51(SEL(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.25
PROPER(sel(x0, cons(z0, z1))) → c51(SEL(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.25
PROPER(sel(x0, sel(z0, z1))) → c51(SEL(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.25
PROPER(sel(x0, indx(z0, z1))) → c51(SEL(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.25
PROPER(sel(x0, from(z0))) → c51(SEL(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.25
PROPER(sel(x0, dbl1(z0))) → c51(SEL(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.25
PROPER(sel(x0, s1(z0))) → c51(SEL(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.25
PROPER(sel(x0, sel1(z0, z1))) → c51(SEL(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.25
PROPER(sel(x0, quote(z0))) → c51(SEL(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.25
PROPER(sel(dbl(z0), x1)) → c51(SEL(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.25
PROPER(sel(s(z0), x1)) → c51(SEL(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.25
PROPER(sel(dbls(z0), x1)) → c51(SEL(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.25
PROPER(sel(cons(z0, z1), x1)) → c51(SEL(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.25
PROPER(sel(sel(z0, z1), x1)) → c51(SEL(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.25
PROPER(sel(indx(z0, z1), x1)) → c51(SEL(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.25
PROPER(sel(from(z0), x1)) → c51(SEL(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.25
PROPER(sel(dbl1(z0), x1)) → c51(SEL(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.25
PROPER(sel(s1(z0), x1)) → c51(SEL(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.25
PROPER(sel(sel1(z0, z1), x1)) → c51(SEL(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.25
PROPER(sel(quote(z0), x1)) → c51(SEL(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.25
PROPER(sel(x0, 0)) → c51(SEL(proper(x0), ok(0)), PROPER(x0))
419.73/127.25
PROPER(sel(x0, nil)) → c51(SEL(proper(x0), ok(nil)), PROPER(x0))
419.73/127.25
PROPER(sel(x0, 01)) → c51(SEL(proper(x0), ok(01)), PROPER(x0))
419.73/127.25
PROPER(sel(0, x1)) → c51(SEL(ok(0), proper(x1)), PROPER(x1))
419.73/127.25
PROPER(sel(nil, x1)) → c51(SEL(ok(nil), proper(x1)), PROPER(x1))
419.73/127.25
PROPER(sel(01, x1)) → c51(SEL(ok(01), proper(x1)), PROPER(x1))
419.73/127.25
PROPER(indx(x0, dbl(z0))) → c52(INDX(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.25
PROPER(indx(x0, s(z0))) → c52(INDX(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.25
PROPER(indx(x0, dbls(z0))) → c52(INDX(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.25
PROPER(indx(x0, cons(z0, z1))) → c52(INDX(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.25
PROPER(indx(x0, sel(z0, z1))) → c52(INDX(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.25
PROPER(indx(x0, indx(z0, z1))) → c52(INDX(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.25
PROPER(indx(x0, from(z0))) → c52(INDX(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.25
PROPER(indx(x0, dbl1(z0))) → c52(INDX(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.25
PROPER(indx(x0, s1(z0))) → c52(INDX(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.25
PROPER(indx(x0, sel1(z0, z1))) → c52(INDX(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.25
PROPER(indx(x0, quote(z0))) → c52(INDX(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.25
PROPER(indx(dbl(z0), x1)) → c52(INDX(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.25
PROPER(indx(s(z0), x1)) → c52(INDX(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.25
PROPER(indx(dbls(z0), x1)) → c52(INDX(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.25
PROPER(indx(cons(z0, z1), x1)) → c52(INDX(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.25
PROPER(indx(sel(z0, z1), x1)) → c52(INDX(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.25
PROPER(indx(indx(z0, z1), x1)) → c52(INDX(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.25
PROPER(indx(from(z0), x1)) → c52(INDX(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.25
PROPER(indx(dbl1(z0), x1)) → c52(INDX(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.25
PROPER(indx(s1(z0), x1)) → c52(INDX(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.25
PROPER(indx(sel1(z0, z1), x1)) → c52(INDX(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.25
PROPER(indx(quote(z0), x1)) → c52(INDX(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.25
PROPER(indx(x0, 0)) → c52(INDX(proper(x0), ok(0)), PROPER(x0))
419.73/127.25
PROPER(indx(x0, nil)) → c52(INDX(proper(x0), ok(nil)), PROPER(x0))
419.73/127.25
PROPER(indx(x0, 01)) → c52(INDX(proper(x0), ok(01)), PROPER(x0))
419.73/127.25
PROPER(indx(0, x1)) → c52(INDX(ok(0), proper(x1)), PROPER(x1))
419.73/127.25
PROPER(indx(nil, x1)) → c52(INDX(ok(nil), proper(x1)), PROPER(x1))
419.73/127.25
PROPER(indx(01, x1)) → c52(INDX(ok(01), proper(x1)), PROPER(x1))
419.73/127.25
PROPER(from(dbl(z0))) → c53(FROM(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.25
PROPER(from(s(z0))) → c53(FROM(s(proper(z0))), PROPER(s(z0)))
419.73/127.25
PROPER(from(dbls(z0))) → c53(FROM(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.25
PROPER(from(cons(z0, z1))) → c53(FROM(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.25
PROPER(from(sel(z0, z1))) → c53(FROM(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.25
PROPER(from(indx(z0, z1))) → c53(FROM(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.25
PROPER(from(from(z0))) → c53(FROM(from(proper(z0))), PROPER(from(z0)))
419.73/127.25
PROPER(from(dbl1(z0))) → c53(FROM(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.25
PROPER(from(s1(z0))) → c53(FROM(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.25
PROPER(from(sel1(z0, z1))) → c53(FROM(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.25
PROPER(from(quote(z0))) → c53(FROM(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.25
PROPER(from(0)) → c53(FROM(ok(0)))
419.73/127.25
PROPER(from(nil)) → c53(FROM(ok(nil)))
419.73/127.25
PROPER(from(01)) → c53(FROM(ok(01)))
419.73/127.25
PROPER(dbl1(dbl(z0))) → c54(DBL1(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.25
PROPER(dbl1(0)) → c54(DBL1(ok(0)), PROPER(0))
419.73/127.25
PROPER(dbl1(s(z0))) → c54(DBL1(s(proper(z0))), PROPER(s(z0)))
419.73/127.25
PROPER(dbl1(dbls(z0))) → c54(DBL1(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.25
PROPER(dbl1(nil)) → c54(DBL1(ok(nil)), PROPER(nil))
419.73/127.25
PROPER(dbl1(cons(z0, z1))) → c54(DBL1(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.25
PROPER(dbl1(sel(z0, z1))) → c54(DBL1(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.25
PROPER(dbl1(indx(z0, z1))) → c54(DBL1(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.25
PROPER(dbl1(from(z0))) → c54(DBL1(from(proper(z0))), PROPER(from(z0)))
419.73/127.25
PROPER(dbl1(dbl1(z0))) → c54(DBL1(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.25
PROPER(dbl1(01)) → c54(DBL1(ok(01)), PROPER(01))
419.73/127.25
PROPER(dbl1(s1(z0))) → c54(DBL1(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.25
PROPER(dbl1(sel1(z0, z1))) → c54(DBL1(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.25
PROPER(dbl1(quote(z0))) → c54(DBL1(quote(proper(z0))), PROPER(quote(z0)))
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
ACTIVE, DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, PROPER, S, CONS, FROM, TOP
Compound Symbols:
c5, c12, c15, c16, c19, c20, c24, c25, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c56, c57, c58, c59, c60, c61, c62, c63, c8, c, c17, c17, c1, c18, c18, c2, c21, c21, c3, c22, c22, c4, c23, c23, c6, c26, c26, c7, c45, c45, c47, c47, c48, c48, c50, c50, c51, c51, c52, c52, c53, c53, c54
419.73/127.25
419.73/127.25
(73) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID) transformation)
Removed 3 trailing tuple parts
419.73/127.25
419.73/127.25
(74) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
419.73/127.25
active(dbl(s(z0))) → mark(s(s(dbl(z0))))
419.73/127.25
active(dbls(nil)) → mark(nil)
419.73/127.25
active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
419.73/127.25
active(sel(0, cons(z0, z1))) → mark(z0)
419.73/127.25
active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
419.73/127.25
active(indx(nil, z0)) → mark(nil)
419.73/127.25
active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
419.73/127.25
active(from(z0)) → mark(cons(z0, from(s(z0))))
419.73/127.25
active(dbl1(0)) → mark(01)
419.73/127.25
active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
419.73/127.25
active(sel1(0, cons(z0, z1))) → mark(z0)
419.73/127.25
active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
419.73/127.25
active(quote(0)) → mark(01)
419.73/127.25
active(quote(s(z0))) → mark(s1(quote(z0)))
419.73/127.25
active(quote(dbl(z0))) → mark(dbl1(z0))
419.73/127.25
active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
419.73/127.25
active(dbl(z0)) → dbl(active(z0))
419.73/127.25
active(dbls(z0)) → dbls(active(z0))
419.73/127.25
active(sel(z0, z1)) → sel(active(z0), z1)
419.73/127.25
active(sel(z0, z1)) → sel(z0, active(z1))
419.73/127.25
active(indx(z0, z1)) → indx(active(z0), z1)
419.73/127.25
active(dbl1(z0)) → dbl1(active(z0))
419.73/127.25
active(s1(z0)) → s1(active(z0))
419.73/127.25
active(sel1(z0, z1)) → sel1(active(z0), z1)
419.73/127.25
active(sel1(z0, z1)) → sel1(z0, active(z1))
419.73/127.25
active(quote(z0)) → quote(active(z0))
419.73/127.25
dbl(mark(z0)) → mark(dbl(z0))
419.73/127.25
dbl(ok(z0)) → ok(dbl(z0))
419.73/127.25
dbls(mark(z0)) → mark(dbls(z0))
419.73/127.25
dbls(ok(z0)) → ok(dbls(z0))
419.73/127.25
sel(mark(z0), z1) → mark(sel(z0, z1))
419.73/127.25
sel(z0, mark(z1)) → mark(sel(z0, z1))
419.73/127.25
sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
419.73/127.25
indx(mark(z0), z1) → mark(indx(z0, z1))
419.73/127.25
indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
419.73/127.25
dbl1(mark(z0)) → mark(dbl1(z0))
419.73/127.25
dbl1(ok(z0)) → ok(dbl1(z0))
419.73/127.25
s1(mark(z0)) → mark(s1(z0))
419.73/127.25
s1(ok(z0)) → ok(s1(z0))
419.73/127.25
sel1(mark(z0), z1) → mark(sel1(z0, z1))
419.73/127.25
sel1(z0, mark(z1)) → mark(sel1(z0, z1))
419.73/127.25
sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
419.73/127.25
quote(mark(z0)) → mark(quote(z0))
419.73/127.25
quote(ok(z0)) → ok(quote(z0))
419.73/127.25
proper(dbl(z0)) → dbl(proper(z0))
419.73/127.25
proper(0) → ok(0)
419.73/127.25
proper(s(z0)) → s(proper(z0))
419.73/127.25
proper(dbls(z0)) → dbls(proper(z0))
419.73/127.25
proper(nil) → ok(nil)
419.73/127.25
proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
419.73/127.25
proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
419.73/127.25
proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
419.73/127.25
proper(from(z0)) → from(proper(z0))
419.73/127.25
proper(dbl1(z0)) → dbl1(proper(z0))
419.73/127.25
proper(01) → ok(01)
419.73/127.25
proper(s1(z0)) → s1(proper(z0))
419.73/127.25
proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
419.73/127.25
proper(quote(z0)) → quote(proper(z0))
419.73/127.25
s(ok(z0)) → ok(s(z0))
419.73/127.25
cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
419.73/127.25
from(ok(z0)) → ok(from(z0))
419.73/127.25
top(mark(z0)) → top(proper(z0))
419.73/127.25
top(ok(z0)) → top(active(z0))
Tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.73/127.25
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.73/127.25
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.73/127.25
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.73/127.25
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.73/127.25
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.73/127.25
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.73/127.25
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.73/127.25
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
419.73/127.25
DBLS(mark(z0)) → c29(DBLS(z0))
419.73/127.25
DBLS(ok(z0)) → c30(DBLS(z0))
419.73/127.25
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.73/127.25
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.73/127.25
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.73/127.25
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.73/127.25
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.73/127.25
DBL1(mark(z0)) → c36(DBL1(z0))
419.73/127.25
DBL1(ok(z0)) → c37(DBL1(z0))
419.73/127.25
S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
419.73/127.25
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.73/127.25
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.73/127.25
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.73/127.25
QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
419.73/127.25
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
419.73/127.25
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.73/127.25
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
419.73/127.25
S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.73/127.25
FROM(ok(z0)) → c61(FROM(z0))
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TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
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TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.73/127.25
ACTIVE(from(z0)) → c8(S(z0))
419.73/127.25
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
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ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.73/127.25
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.73/127.25
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.73/127.25
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.73/127.25
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.73/127.25
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.73/127.25
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.73/127.25
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.73/127.25
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
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ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.73/127.25
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.73/127.25
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.73/127.25
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.73/127.25
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.25
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.25
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.25
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.25
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
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ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.25
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
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ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.25
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.25
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.25
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.25
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.25
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
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ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.25
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.25
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.25
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.73/127.25
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.73/127.25
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.73/127.25
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.73/127.25
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
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ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
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ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.25
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
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ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.25
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.25
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.25
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
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ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.25
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.25
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.25
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.25
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.25
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.25
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.25
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.25
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.25
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
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ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
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ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
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ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
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ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
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ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
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ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
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ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
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ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.25
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
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ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.73/127.25
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.25
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.25
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.25
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.25
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.73/127.25
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.73/127.25
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
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ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
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ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.73/127.25
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.73/127.25
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.73/127.25
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
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ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
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ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.73/127.25
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.73/127.25
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.73/127.25
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.73/127.25
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.73/127.25
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
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ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
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ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
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ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.25
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
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ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.25
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
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ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
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ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
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ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.73/127.25
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
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ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.73/127.25
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.25
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.73/127.25
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.73/127.25
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.25
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.25
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.25
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.25
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.25
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.25
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.25
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.25
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.25
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.25
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.25
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.25
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.25
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.25
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.25
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.25
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.73/127.25
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.73/127.25
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.25
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.73/127.25
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.73/127.25
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.73/127.25
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.73/127.25
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
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ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.25
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.73/127.25
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.25
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.73/127.25
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.25
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.73/127.25
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.73/127.25
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.25
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.73/127.25
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.25
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.25
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.73/127.25
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.73/127.25
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.73/127.25
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.25
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.25
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.25
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.25
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.25
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.25
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.25
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.25
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.25
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.25
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.25
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.25
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.25
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.25
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.25
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.25
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.25
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.73/127.25
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.73/127.25
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.73/127.25
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.73/127.25
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.73/127.25
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.73/127.25
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.25
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.73/127.25
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.25
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.25
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.73/127.25
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.73/127.25
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.73/127.25
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.73/127.25
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.25
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.25
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.25
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.25
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.25
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.25
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.25
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.25
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.25
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.25
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.25
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.25
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.25
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.25
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.25
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.25
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.73/127.25
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.73/127.25
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.25
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.73/127.25
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.73/127.25
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.73/127.25
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.73/127.25
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.73/127.25
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.73/127.25
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.73/127.25
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.73/127.25
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.25
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.73/127.25
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.25
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.73/127.25
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.73/127.25
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.73/127.25
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.25
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.73/127.25
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.25
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.73/127.25
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.73/127.25
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.25
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.73/127.25
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.25
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.25
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.73/127.25
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.73/127.25
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.73/127.25
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.73/127.25
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.73/127.25
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.25
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.25
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.73/127.25
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.25
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.25
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.25
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.25
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.73/127.25
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.25
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.25
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.25
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.25
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.73/127.25
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.73/127.25
PROPER(dbl(01)) → c45(DBL(ok(01)))
419.73/127.25
PROPER(s(dbl(z0))) → c47(S(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.25
PROPER(s(s(z0))) → c47(S(s(proper(z0))), PROPER(s(z0)))
419.73/127.25
PROPER(s(dbls(z0))) → c47(S(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.25
PROPER(s(cons(z0, z1))) → c47(S(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.25
PROPER(s(sel(z0, z1))) → c47(S(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.25
PROPER(s(indx(z0, z1))) → c47(S(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.25
PROPER(s(from(z0))) → c47(S(from(proper(z0))), PROPER(from(z0)))
419.73/127.25
PROPER(s(dbl1(z0))) → c47(S(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.25
PROPER(s(s1(z0))) → c47(S(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.25
PROPER(s(sel1(z0, z1))) → c47(S(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.25
PROPER(s(quote(z0))) → c47(S(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.25
PROPER(s(0)) → c47(S(ok(0)))
419.73/127.25
PROPER(s(nil)) → c47(S(ok(nil)))
419.73/127.25
PROPER(s(01)) → c47(S(ok(01)))
419.73/127.25
PROPER(dbls(dbl(z0))) → c48(DBLS(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.25
PROPER(dbls(s(z0))) → c48(DBLS(s(proper(z0))), PROPER(s(z0)))
419.73/127.25
PROPER(dbls(dbls(z0))) → c48(DBLS(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.25
PROPER(dbls(cons(z0, z1))) → c48(DBLS(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.25
PROPER(dbls(sel(z0, z1))) → c48(DBLS(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.25
PROPER(dbls(indx(z0, z1))) → c48(DBLS(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.25
PROPER(dbls(from(z0))) → c48(DBLS(from(proper(z0))), PROPER(from(z0)))
419.73/127.25
PROPER(dbls(dbl1(z0))) → c48(DBLS(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.25
PROPER(dbls(s1(z0))) → c48(DBLS(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.25
PROPER(dbls(sel1(z0, z1))) → c48(DBLS(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.25
PROPER(dbls(quote(z0))) → c48(DBLS(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.25
PROPER(dbls(0)) → c48(DBLS(ok(0)))
419.73/127.25
PROPER(dbls(nil)) → c48(DBLS(ok(nil)))
419.73/127.25
PROPER(dbls(01)) → c48(DBLS(ok(01)))
419.73/127.25
PROPER(cons(x0, dbl(z0))) → c50(CONS(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.25
PROPER(cons(x0, s(z0))) → c50(CONS(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.25
PROPER(cons(x0, dbls(z0))) → c50(CONS(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.25
PROPER(cons(x0, cons(z0, z1))) → c50(CONS(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.25
PROPER(cons(x0, sel(z0, z1))) → c50(CONS(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.25
PROPER(cons(x0, indx(z0, z1))) → c50(CONS(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.25
PROPER(cons(x0, from(z0))) → c50(CONS(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.25
PROPER(cons(x0, dbl1(z0))) → c50(CONS(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.25
PROPER(cons(x0, s1(z0))) → c50(CONS(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.25
PROPER(cons(x0, sel1(z0, z1))) → c50(CONS(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.25
PROPER(cons(x0, quote(z0))) → c50(CONS(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.25
PROPER(cons(dbl(z0), x1)) → c50(CONS(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.25
PROPER(cons(s(z0), x1)) → c50(CONS(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.25
PROPER(cons(dbls(z0), x1)) → c50(CONS(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.25
PROPER(cons(cons(z0, z1), x1)) → c50(CONS(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.25
PROPER(cons(sel(z0, z1), x1)) → c50(CONS(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.25
PROPER(cons(indx(z0, z1), x1)) → c50(CONS(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.25
PROPER(cons(from(z0), x1)) → c50(CONS(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.25
PROPER(cons(dbl1(z0), x1)) → c50(CONS(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.25
PROPER(cons(s1(z0), x1)) → c50(CONS(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.25
PROPER(cons(sel1(z0, z1), x1)) → c50(CONS(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.25
PROPER(cons(quote(z0), x1)) → c50(CONS(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.25
PROPER(cons(x0, 0)) → c50(CONS(proper(x0), ok(0)), PROPER(x0))
419.73/127.25
PROPER(cons(x0, nil)) → c50(CONS(proper(x0), ok(nil)), PROPER(x0))
419.73/127.25
PROPER(cons(x0, 01)) → c50(CONS(proper(x0), ok(01)), PROPER(x0))
419.73/127.25
PROPER(cons(0, x1)) → c50(CONS(ok(0), proper(x1)), PROPER(x1))
419.73/127.25
PROPER(cons(nil, x1)) → c50(CONS(ok(nil), proper(x1)), PROPER(x1))
419.73/127.25
PROPER(cons(01, x1)) → c50(CONS(ok(01), proper(x1)), PROPER(x1))
419.73/127.25
PROPER(sel(x0, dbl(z0))) → c51(SEL(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.25
PROPER(sel(x0, s(z0))) → c51(SEL(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.25
PROPER(sel(x0, dbls(z0))) → c51(SEL(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.25
PROPER(sel(x0, cons(z0, z1))) → c51(SEL(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.25
PROPER(sel(x0, sel(z0, z1))) → c51(SEL(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.25
PROPER(sel(x0, indx(z0, z1))) → c51(SEL(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.25
PROPER(sel(x0, from(z0))) → c51(SEL(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.25
PROPER(sel(x0, dbl1(z0))) → c51(SEL(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.25
PROPER(sel(x0, s1(z0))) → c51(SEL(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.25
PROPER(sel(x0, sel1(z0, z1))) → c51(SEL(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.25
PROPER(sel(x0, quote(z0))) → c51(SEL(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.25
PROPER(sel(dbl(z0), x1)) → c51(SEL(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.25
PROPER(sel(s(z0), x1)) → c51(SEL(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.25
PROPER(sel(dbls(z0), x1)) → c51(SEL(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.25
PROPER(sel(cons(z0, z1), x1)) → c51(SEL(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.25
PROPER(sel(sel(z0, z1), x1)) → c51(SEL(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.25
PROPER(sel(indx(z0, z1), x1)) → c51(SEL(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.25
PROPER(sel(from(z0), x1)) → c51(SEL(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.25
PROPER(sel(dbl1(z0), x1)) → c51(SEL(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.25
PROPER(sel(s1(z0), x1)) → c51(SEL(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.25
PROPER(sel(sel1(z0, z1), x1)) → c51(SEL(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.25
PROPER(sel(quote(z0), x1)) → c51(SEL(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.25
PROPER(sel(x0, 0)) → c51(SEL(proper(x0), ok(0)), PROPER(x0))
419.73/127.25
PROPER(sel(x0, nil)) → c51(SEL(proper(x0), ok(nil)), PROPER(x0))
419.73/127.25
PROPER(sel(x0, 01)) → c51(SEL(proper(x0), ok(01)), PROPER(x0))
419.73/127.25
PROPER(sel(0, x1)) → c51(SEL(ok(0), proper(x1)), PROPER(x1))
419.73/127.25
PROPER(sel(nil, x1)) → c51(SEL(ok(nil), proper(x1)), PROPER(x1))
419.73/127.25
PROPER(sel(01, x1)) → c51(SEL(ok(01), proper(x1)), PROPER(x1))
419.73/127.25
PROPER(indx(x0, dbl(z0))) → c52(INDX(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.25
PROPER(indx(x0, s(z0))) → c52(INDX(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.25
PROPER(indx(x0, dbls(z0))) → c52(INDX(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.25
PROPER(indx(x0, cons(z0, z1))) → c52(INDX(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.25
PROPER(indx(x0, sel(z0, z1))) → c52(INDX(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.25
PROPER(indx(x0, indx(z0, z1))) → c52(INDX(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.25
PROPER(indx(x0, from(z0))) → c52(INDX(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.25
PROPER(indx(x0, dbl1(z0))) → c52(INDX(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.25
PROPER(indx(x0, s1(z0))) → c52(INDX(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.25
PROPER(indx(x0, sel1(z0, z1))) → c52(INDX(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.25
PROPER(indx(x0, quote(z0))) → c52(INDX(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.25
PROPER(indx(dbl(z0), x1)) → c52(INDX(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.25
PROPER(indx(s(z0), x1)) → c52(INDX(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.25
PROPER(indx(dbls(z0), x1)) → c52(INDX(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.25
PROPER(indx(cons(z0, z1), x1)) → c52(INDX(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.25
PROPER(indx(sel(z0, z1), x1)) → c52(INDX(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.25
PROPER(indx(indx(z0, z1), x1)) → c52(INDX(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.25
PROPER(indx(from(z0), x1)) → c52(INDX(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.25
PROPER(indx(dbl1(z0), x1)) → c52(INDX(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.25
PROPER(indx(s1(z0), x1)) → c52(INDX(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.25
PROPER(indx(sel1(z0, z1), x1)) → c52(INDX(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.25
PROPER(indx(quote(z0), x1)) → c52(INDX(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.25
PROPER(indx(x0, 0)) → c52(INDX(proper(x0), ok(0)), PROPER(x0))
419.73/127.25
PROPER(indx(x0, nil)) → c52(INDX(proper(x0), ok(nil)), PROPER(x0))
419.73/127.25
PROPER(indx(x0, 01)) → c52(INDX(proper(x0), ok(01)), PROPER(x0))
419.73/127.25
PROPER(indx(0, x1)) → c52(INDX(ok(0), proper(x1)), PROPER(x1))
419.73/127.25
PROPER(indx(nil, x1)) → c52(INDX(ok(nil), proper(x1)), PROPER(x1))
419.73/127.25
PROPER(indx(01, x1)) → c52(INDX(ok(01), proper(x1)), PROPER(x1))
419.73/127.25
PROPER(from(dbl(z0))) → c53(FROM(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.25
PROPER(from(s(z0))) → c53(FROM(s(proper(z0))), PROPER(s(z0)))
419.73/127.25
PROPER(from(dbls(z0))) → c53(FROM(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.25
PROPER(from(cons(z0, z1))) → c53(FROM(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.25
PROPER(from(sel(z0, z1))) → c53(FROM(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.25
PROPER(from(indx(z0, z1))) → c53(FROM(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.25
PROPER(from(from(z0))) → c53(FROM(from(proper(z0))), PROPER(from(z0)))
419.73/127.25
PROPER(from(dbl1(z0))) → c53(FROM(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.25
PROPER(from(s1(z0))) → c53(FROM(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.25
PROPER(from(sel1(z0, z1))) → c53(FROM(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.25
PROPER(from(quote(z0))) → c53(FROM(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.25
PROPER(from(0)) → c53(FROM(ok(0)))
419.73/127.25
PROPER(from(nil)) → c53(FROM(ok(nil)))
419.73/127.25
PROPER(from(01)) → c53(FROM(ok(01)))
419.73/127.25
PROPER(dbl1(dbl(z0))) → c54(DBL1(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.25
PROPER(dbl1(s(z0))) → c54(DBL1(s(proper(z0))), PROPER(s(z0)))
419.73/127.25
PROPER(dbl1(dbls(z0))) → c54(DBL1(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.25
PROPER(dbl1(cons(z0, z1))) → c54(DBL1(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.25
PROPER(dbl1(sel(z0, z1))) → c54(DBL1(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.25
PROPER(dbl1(indx(z0, z1))) → c54(DBL1(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.25
PROPER(dbl1(from(z0))) → c54(DBL1(from(proper(z0))), PROPER(from(z0)))
419.73/127.25
PROPER(dbl1(dbl1(z0))) → c54(DBL1(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.25
PROPER(dbl1(s1(z0))) → c54(DBL1(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.25
PROPER(dbl1(sel1(z0, z1))) → c54(DBL1(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.25
PROPER(dbl1(quote(z0))) → c54(DBL1(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.25
PROPER(dbl1(0)) → c54(DBL1(ok(0)))
419.73/127.25
PROPER(dbl1(nil)) → c54(DBL1(ok(nil)))
419.73/127.25
PROPER(dbl1(01)) → c54(DBL1(ok(01)))
S tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.73/127.25
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.73/127.25
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.73/127.25
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.73/127.25
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.73/127.25
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.73/127.25
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.73/127.25
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.73/127.25
DBL(mark(z0)) → c27(DBL(z0))
419.73/127.25
DBL(ok(z0)) → c28(DBL(z0))
419.73/127.25
DBLS(mark(z0)) → c29(DBLS(z0))
419.73/127.25
DBLS(ok(z0)) → c30(DBLS(z0))
419.73/127.25
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.73/127.25
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.73/127.25
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.73/127.25
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.73/127.25
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.73/127.25
DBL1(mark(z0)) → c36(DBL1(z0))
419.73/127.25
DBL1(ok(z0)) → c37(DBL1(z0))
419.73/127.25
S1(mark(z0)) → c38(S1(z0))
419.73/127.25
S1(ok(z0)) → c39(S1(z0))
419.73/127.25
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.73/127.25
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.73/127.25
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.73/127.25
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.73/127.25
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.73/127.25
PROPER(s1(z0)) → c56(S1(proper(z0)), PROPER(z0))
419.73/127.25
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.73/127.25
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
419.73/127.25
S(ok(z0)) → c59(S(z0))
419.73/127.25
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.73/127.25
FROM(ok(z0)) → c61(FROM(z0))
419.73/127.25
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
419.73/127.25
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.73/127.25
ACTIVE(from(z0)) → c8(S(z0))
419.73/127.25
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.73/127.25
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.73/127.25
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.73/127.25
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.73/127.25
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.73/127.25
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.73/127.25
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.73/127.25
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.73/127.25
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.73/127.25
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.73/127.25
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.73/127.25
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.73/127.25
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.73/127.25
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.73/127.25
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.25
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.25
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.25
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.25
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.25
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.25
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.25
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.25
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.25
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.25
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.25
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.25
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.25
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.25
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.25
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.25
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.73/127.25
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.73/127.25
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.73/127.25
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.73/127.25
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.73/127.25
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.25
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.25
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.25
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.25
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.25
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.25
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.25
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.25
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.25
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.25
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.25
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.25
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.25
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.25
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.25
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.25
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.73/127.25
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.73/127.25
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.73/127.25
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.25
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.25
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.73/127.25
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.73/127.25
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.25
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.25
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.73/127.25
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.73/127.25
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.25
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.25
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.25
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.25
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.73/127.25
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.73/127.25
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.73/127.25
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.73/127.25
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.73/127.25
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.73/127.25
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.73/127.25
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.73/127.25
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.73/127.25
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.73/127.25
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.73/127.25
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.73/127.25
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.73/127.25
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.73/127.25
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.73/127.25
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.73/127.25
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.73/127.25
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.25
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.25
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.25
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.25
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.73/127.25
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.73/127.25
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.73/127.25
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.73/127.25
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.73/127.25
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.25
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.73/127.25
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.73/127.25
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.25
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.25
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.25
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.25
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.25
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.25
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.25
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.25
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.25
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.25
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.25
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.25
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.25
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.25
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.25
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.25
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.73/127.25
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.73/127.25
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.25
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.73/127.25
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.73/127.25
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.73/127.25
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.73/127.25
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.73/127.25
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.25
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.73/127.25
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.25
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.73/127.25
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.25
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.73/127.25
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.73/127.25
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.25
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.73/127.25
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.25
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.25
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.73/127.25
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.73/127.25
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.73/127.25
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.25
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.25
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.25
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.25
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.25
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.25
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.25
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.25
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.25
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.25
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.25
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.25
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.25
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.25
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.25
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.25
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.25
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.73/127.25
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.73/127.25
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.73/127.25
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.73/127.25
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.73/127.25
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.73/127.25
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.25
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.73/127.25
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.25
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.25
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.73/127.25
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.73/127.25
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.73/127.25
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.73/127.25
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.25
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.25
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.25
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.25
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.25
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.25
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.25
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.25
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.25
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.25
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.25
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.25
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.25
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.25
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.25
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.25
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.73/127.25
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.73/127.25
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.25
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.73/127.25
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.73/127.25
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.73/127.25
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.73/127.25
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.73/127.25
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.73/127.25
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.73/127.25
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.73/127.25
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.25
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.73/127.25
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.25
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.73/127.25
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.73/127.25
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.73/127.25
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.25
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.73/127.25
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.25
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.73/127.25
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.73/127.25
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.25
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.73/127.25
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.25
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.25
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.73/127.25
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.73/127.25
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.73/127.25
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.73/127.25
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.73/127.25
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.25
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.25
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.73/127.25
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.25
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.25
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.25
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.25
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.73/127.25
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.25
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.25
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.25
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.25
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.73/127.25
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.73/127.25
PROPER(dbl(01)) → c45(DBL(ok(01)))
419.73/127.25
PROPER(s(dbl(z0))) → c47(S(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.25
PROPER(s(s(z0))) → c47(S(s(proper(z0))), PROPER(s(z0)))
419.73/127.25
PROPER(s(dbls(z0))) → c47(S(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.25
PROPER(s(cons(z0, z1))) → c47(S(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.25
PROPER(s(sel(z0, z1))) → c47(S(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.25
PROPER(s(indx(z0, z1))) → c47(S(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.25
PROPER(s(from(z0))) → c47(S(from(proper(z0))), PROPER(from(z0)))
419.73/127.25
PROPER(s(dbl1(z0))) → c47(S(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.25
PROPER(s(s1(z0))) → c47(S(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.25
PROPER(s(sel1(z0, z1))) → c47(S(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.25
PROPER(s(quote(z0))) → c47(S(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.25
PROPER(s(0)) → c47(S(ok(0)))
419.73/127.25
PROPER(s(nil)) → c47(S(ok(nil)))
419.73/127.25
PROPER(s(01)) → c47(S(ok(01)))
419.73/127.25
PROPER(dbls(dbl(z0))) → c48(DBLS(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.25
PROPER(dbls(s(z0))) → c48(DBLS(s(proper(z0))), PROPER(s(z0)))
419.73/127.25
PROPER(dbls(dbls(z0))) → c48(DBLS(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.25
PROPER(dbls(cons(z0, z1))) → c48(DBLS(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.25
PROPER(dbls(sel(z0, z1))) → c48(DBLS(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.25
PROPER(dbls(indx(z0, z1))) → c48(DBLS(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.25
PROPER(dbls(from(z0))) → c48(DBLS(from(proper(z0))), PROPER(from(z0)))
419.73/127.25
PROPER(dbls(dbl1(z0))) → c48(DBLS(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.25
PROPER(dbls(s1(z0))) → c48(DBLS(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.25
PROPER(dbls(sel1(z0, z1))) → c48(DBLS(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.25
PROPER(dbls(quote(z0))) → c48(DBLS(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.25
PROPER(dbls(0)) → c48(DBLS(ok(0)))
419.73/127.25
PROPER(dbls(nil)) → c48(DBLS(ok(nil)))
419.73/127.25
PROPER(dbls(01)) → c48(DBLS(ok(01)))
419.73/127.25
PROPER(cons(x0, dbl(z0))) → c50(CONS(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.25
PROPER(cons(x0, s(z0))) → c50(CONS(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.25
PROPER(cons(x0, dbls(z0))) → c50(CONS(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.25
PROPER(cons(x0, cons(z0, z1))) → c50(CONS(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.25
PROPER(cons(x0, sel(z0, z1))) → c50(CONS(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.25
PROPER(cons(x0, indx(z0, z1))) → c50(CONS(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.25
PROPER(cons(x0, from(z0))) → c50(CONS(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.25
PROPER(cons(x0, dbl1(z0))) → c50(CONS(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.25
PROPER(cons(x0, s1(z0))) → c50(CONS(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.25
PROPER(cons(x0, sel1(z0, z1))) → c50(CONS(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.25
PROPER(cons(x0, quote(z0))) → c50(CONS(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.25
PROPER(cons(dbl(z0), x1)) → c50(CONS(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.25
PROPER(cons(s(z0), x1)) → c50(CONS(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.25
PROPER(cons(dbls(z0), x1)) → c50(CONS(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.25
PROPER(cons(cons(z0, z1), x1)) → c50(CONS(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.25
PROPER(cons(sel(z0, z1), x1)) → c50(CONS(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.25
PROPER(cons(indx(z0, z1), x1)) → c50(CONS(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.25
PROPER(cons(from(z0), x1)) → c50(CONS(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.25
PROPER(cons(dbl1(z0), x1)) → c50(CONS(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.25
PROPER(cons(s1(z0), x1)) → c50(CONS(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.25
PROPER(cons(sel1(z0, z1), x1)) → c50(CONS(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.25
PROPER(cons(quote(z0), x1)) → c50(CONS(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.25
PROPER(cons(x0, 0)) → c50(CONS(proper(x0), ok(0)), PROPER(x0))
419.73/127.25
PROPER(cons(x0, nil)) → c50(CONS(proper(x0), ok(nil)), PROPER(x0))
419.73/127.25
PROPER(cons(x0, 01)) → c50(CONS(proper(x0), ok(01)), PROPER(x0))
419.73/127.25
PROPER(cons(0, x1)) → c50(CONS(ok(0), proper(x1)), PROPER(x1))
419.73/127.25
PROPER(cons(nil, x1)) → c50(CONS(ok(nil), proper(x1)), PROPER(x1))
419.73/127.25
PROPER(cons(01, x1)) → c50(CONS(ok(01), proper(x1)), PROPER(x1))
419.73/127.25
PROPER(sel(x0, dbl(z0))) → c51(SEL(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.25
PROPER(sel(x0, s(z0))) → c51(SEL(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.25
PROPER(sel(x0, dbls(z0))) → c51(SEL(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.25
PROPER(sel(x0, cons(z0, z1))) → c51(SEL(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.25
PROPER(sel(x0, sel(z0, z1))) → c51(SEL(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.25
PROPER(sel(x0, indx(z0, z1))) → c51(SEL(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.25
PROPER(sel(x0, from(z0))) → c51(SEL(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.25
PROPER(sel(x0, dbl1(z0))) → c51(SEL(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.25
PROPER(sel(x0, s1(z0))) → c51(SEL(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.25
PROPER(sel(x0, sel1(z0, z1))) → c51(SEL(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.25
PROPER(sel(x0, quote(z0))) → c51(SEL(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.25
PROPER(sel(dbl(z0), x1)) → c51(SEL(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.25
PROPER(sel(s(z0), x1)) → c51(SEL(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.25
PROPER(sel(dbls(z0), x1)) → c51(SEL(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.25
PROPER(sel(cons(z0, z1), x1)) → c51(SEL(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.25
PROPER(sel(sel(z0, z1), x1)) → c51(SEL(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.25
PROPER(sel(indx(z0, z1), x1)) → c51(SEL(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.25
PROPER(sel(from(z0), x1)) → c51(SEL(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.25
PROPER(sel(dbl1(z0), x1)) → c51(SEL(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.25
PROPER(sel(s1(z0), x1)) → c51(SEL(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.25
PROPER(sel(sel1(z0, z1), x1)) → c51(SEL(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.25
PROPER(sel(quote(z0), x1)) → c51(SEL(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.25
PROPER(sel(x0, 0)) → c51(SEL(proper(x0), ok(0)), PROPER(x0))
419.73/127.25
PROPER(sel(x0, nil)) → c51(SEL(proper(x0), ok(nil)), PROPER(x0))
419.73/127.25
PROPER(sel(x0, 01)) → c51(SEL(proper(x0), ok(01)), PROPER(x0))
419.73/127.25
PROPER(sel(0, x1)) → c51(SEL(ok(0), proper(x1)), PROPER(x1))
419.73/127.25
PROPER(sel(nil, x1)) → c51(SEL(ok(nil), proper(x1)), PROPER(x1))
419.73/127.25
PROPER(sel(01, x1)) → c51(SEL(ok(01), proper(x1)), PROPER(x1))
419.73/127.25
PROPER(indx(x0, dbl(z0))) → c52(INDX(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.25
PROPER(indx(x0, s(z0))) → c52(INDX(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.25
PROPER(indx(x0, dbls(z0))) → c52(INDX(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.25
PROPER(indx(x0, cons(z0, z1))) → c52(INDX(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.25
PROPER(indx(x0, sel(z0, z1))) → c52(INDX(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.25
PROPER(indx(x0, indx(z0, z1))) → c52(INDX(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.25
PROPER(indx(x0, from(z0))) → c52(INDX(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.25
PROPER(indx(x0, dbl1(z0))) → c52(INDX(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.25
PROPER(indx(x0, s1(z0))) → c52(INDX(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.25
PROPER(indx(x0, sel1(z0, z1))) → c52(INDX(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.25
PROPER(indx(x0, quote(z0))) → c52(INDX(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.25
PROPER(indx(dbl(z0), x1)) → c52(INDX(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.25
PROPER(indx(s(z0), x1)) → c52(INDX(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.25
PROPER(indx(dbls(z0), x1)) → c52(INDX(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.25
PROPER(indx(cons(z0, z1), x1)) → c52(INDX(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.25
PROPER(indx(sel(z0, z1), x1)) → c52(INDX(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.25
PROPER(indx(indx(z0, z1), x1)) → c52(INDX(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.25
PROPER(indx(from(z0), x1)) → c52(INDX(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.25
PROPER(indx(dbl1(z0), x1)) → c52(INDX(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.25
PROPER(indx(s1(z0), x1)) → c52(INDX(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.25
PROPER(indx(sel1(z0, z1), x1)) → c52(INDX(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.25
PROPER(indx(quote(z0), x1)) → c52(INDX(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.25
PROPER(indx(x0, 0)) → c52(INDX(proper(x0), ok(0)), PROPER(x0))
419.73/127.25
PROPER(indx(x0, nil)) → c52(INDX(proper(x0), ok(nil)), PROPER(x0))
419.73/127.25
PROPER(indx(x0, 01)) → c52(INDX(proper(x0), ok(01)), PROPER(x0))
419.73/127.25
PROPER(indx(0, x1)) → c52(INDX(ok(0), proper(x1)), PROPER(x1))
419.73/127.25
PROPER(indx(nil, x1)) → c52(INDX(ok(nil), proper(x1)), PROPER(x1))
419.73/127.25
PROPER(indx(01, x1)) → c52(INDX(ok(01), proper(x1)), PROPER(x1))
419.73/127.25
PROPER(from(dbl(z0))) → c53(FROM(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.25
PROPER(from(s(z0))) → c53(FROM(s(proper(z0))), PROPER(s(z0)))
419.73/127.25
PROPER(from(dbls(z0))) → c53(FROM(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.25
PROPER(from(cons(z0, z1))) → c53(FROM(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.25
PROPER(from(sel(z0, z1))) → c53(FROM(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.25
PROPER(from(indx(z0, z1))) → c53(FROM(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.25
PROPER(from(from(z0))) → c53(FROM(from(proper(z0))), PROPER(from(z0)))
419.73/127.25
PROPER(from(dbl1(z0))) → c53(FROM(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.25
PROPER(from(s1(z0))) → c53(FROM(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.25
PROPER(from(sel1(z0, z1))) → c53(FROM(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.25
PROPER(from(quote(z0))) → c53(FROM(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.25
PROPER(from(0)) → c53(FROM(ok(0)))
419.73/127.25
PROPER(from(nil)) → c53(FROM(ok(nil)))
419.73/127.25
PROPER(from(01)) → c53(FROM(ok(01)))
419.73/127.25
PROPER(dbl1(dbl(z0))) → c54(DBL1(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.25
PROPER(dbl1(s(z0))) → c54(DBL1(s(proper(z0))), PROPER(s(z0)))
419.73/127.25
PROPER(dbl1(dbls(z0))) → c54(DBL1(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.25
PROPER(dbl1(cons(z0, z1))) → c54(DBL1(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.25
PROPER(dbl1(sel(z0, z1))) → c54(DBL1(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.25
PROPER(dbl1(indx(z0, z1))) → c54(DBL1(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.25
PROPER(dbl1(from(z0))) → c54(DBL1(from(proper(z0))), PROPER(from(z0)))
419.73/127.25
PROPER(dbl1(dbl1(z0))) → c54(DBL1(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.25
PROPER(dbl1(s1(z0))) → c54(DBL1(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.25
PROPER(dbl1(sel1(z0, z1))) → c54(DBL1(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.25
PROPER(dbl1(quote(z0))) → c54(DBL1(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.25
PROPER(dbl1(0)) → c54(DBL1(ok(0)))
419.73/127.25
PROPER(dbl1(nil)) → c54(DBL1(ok(nil)))
419.73/127.25
PROPER(dbl1(01)) → c54(DBL1(ok(01)))
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
ACTIVE, DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, PROPER, S, CONS, FROM, TOP
Compound Symbols:
c5, c12, c15, c16, c19, c20, c24, c25, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c56, c57, c58, c59, c60, c61, c62, c63, c8, c, c17, c17, c1, c18, c18, c2, c21, c21, c3, c22, c22, c4, c23, c23, c6, c26, c26, c7, c45, c45, c47, c47, c48, c48, c50, c50, c51, c51, c52, c52, c53, c53, c54, c54
419.73/127.25
419.73/127.25
(75) CdtNarrowingProof (BOTH BOUNDS(ID, ID) transformation)
Use narrowing to replace
PROPER(
s1(
z0)) →
c56(
S1(
proper(
z0)),
PROPER(
z0)) by
PROPER(s1(dbl(z0))) → c56(S1(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.25
PROPER(s1(0)) → c56(S1(ok(0)), PROPER(0))
419.73/127.25
PROPER(s1(s(z0))) → c56(S1(s(proper(z0))), PROPER(s(z0)))
419.73/127.25
PROPER(s1(dbls(z0))) → c56(S1(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.25
PROPER(s1(nil)) → c56(S1(ok(nil)), PROPER(nil))
419.73/127.25
PROPER(s1(cons(z0, z1))) → c56(S1(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.25
PROPER(s1(sel(z0, z1))) → c56(S1(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.25
PROPER(s1(indx(z0, z1))) → c56(S1(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.25
PROPER(s1(from(z0))) → c56(S1(from(proper(z0))), PROPER(from(z0)))
419.73/127.25
PROPER(s1(dbl1(z0))) → c56(S1(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.25
PROPER(s1(01)) → c56(S1(ok(01)), PROPER(01))
419.73/127.25
PROPER(s1(s1(z0))) → c56(S1(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.25
PROPER(s1(sel1(z0, z1))) → c56(S1(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.25
PROPER(s1(quote(z0))) → c56(S1(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.25
419.73/127.25
(76) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
419.73/127.25
active(dbl(s(z0))) → mark(s(s(dbl(z0))))
419.73/127.25
active(dbls(nil)) → mark(nil)
419.73/127.25
active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
419.73/127.25
active(sel(0, cons(z0, z1))) → mark(z0)
419.73/127.25
active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
419.73/127.25
active(indx(nil, z0)) → mark(nil)
419.73/127.25
active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
419.73/127.25
active(from(z0)) → mark(cons(z0, from(s(z0))))
419.73/127.25
active(dbl1(0)) → mark(01)
419.73/127.25
active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
419.73/127.25
active(sel1(0, cons(z0, z1))) → mark(z0)
419.73/127.25
active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
419.73/127.25
active(quote(0)) → mark(01)
419.73/127.25
active(quote(s(z0))) → mark(s1(quote(z0)))
419.73/127.25
active(quote(dbl(z0))) → mark(dbl1(z0))
419.73/127.25
active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
419.73/127.25
active(dbl(z0)) → dbl(active(z0))
419.73/127.25
active(dbls(z0)) → dbls(active(z0))
419.73/127.25
active(sel(z0, z1)) → sel(active(z0), z1)
419.73/127.25
active(sel(z0, z1)) → sel(z0, active(z1))
419.73/127.25
active(indx(z0, z1)) → indx(active(z0), z1)
419.73/127.25
active(dbl1(z0)) → dbl1(active(z0))
419.73/127.25
active(s1(z0)) → s1(active(z0))
419.73/127.25
active(sel1(z0, z1)) → sel1(active(z0), z1)
419.73/127.25
active(sel1(z0, z1)) → sel1(z0, active(z1))
419.73/127.25
active(quote(z0)) → quote(active(z0))
419.73/127.25
dbl(mark(z0)) → mark(dbl(z0))
419.73/127.25
dbl(ok(z0)) → ok(dbl(z0))
419.73/127.25
dbls(mark(z0)) → mark(dbls(z0))
419.73/127.25
dbls(ok(z0)) → ok(dbls(z0))
419.73/127.25
sel(mark(z0), z1) → mark(sel(z0, z1))
419.73/127.25
sel(z0, mark(z1)) → mark(sel(z0, z1))
419.73/127.25
sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
419.73/127.25
indx(mark(z0), z1) → mark(indx(z0, z1))
419.73/127.25
indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
419.73/127.25
dbl1(mark(z0)) → mark(dbl1(z0))
419.73/127.25
dbl1(ok(z0)) → ok(dbl1(z0))
419.73/127.25
s1(mark(z0)) → mark(s1(z0))
419.73/127.25
s1(ok(z0)) → ok(s1(z0))
419.73/127.25
sel1(mark(z0), z1) → mark(sel1(z0, z1))
419.73/127.25
sel1(z0, mark(z1)) → mark(sel1(z0, z1))
419.73/127.25
sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
419.73/127.25
quote(mark(z0)) → mark(quote(z0))
419.73/127.25
quote(ok(z0)) → ok(quote(z0))
419.73/127.25
proper(dbl(z0)) → dbl(proper(z0))
419.73/127.25
proper(0) → ok(0)
419.73/127.25
proper(s(z0)) → s(proper(z0))
419.73/127.25
proper(dbls(z0)) → dbls(proper(z0))
419.73/127.25
proper(nil) → ok(nil)
419.73/127.25
proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
419.73/127.25
proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
419.73/127.25
proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
419.73/127.25
proper(from(z0)) → from(proper(z0))
419.73/127.25
proper(dbl1(z0)) → dbl1(proper(z0))
419.73/127.25
proper(01) → ok(01)
419.73/127.25
proper(s1(z0)) → s1(proper(z0))
419.73/127.25
proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
419.73/127.25
proper(quote(z0)) → quote(proper(z0))
419.73/127.25
s(ok(z0)) → ok(s(z0))
419.73/127.25
cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
419.73/127.25
from(ok(z0)) → ok(from(z0))
419.73/127.25
top(mark(z0)) → top(proper(z0))
419.73/127.25
top(ok(z0)) → top(active(z0))
Tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.73/127.25
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.73/127.25
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.73/127.25
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.73/127.25
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.73/127.25
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.73/127.25
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.73/127.25
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.73/127.25
DBL(mark(z0)) → c27(DBL(z0))
419.73/127.25
DBL(ok(z0)) → c28(DBL(z0))
419.73/127.25
DBLS(mark(z0)) → c29(DBLS(z0))
419.73/127.25
DBLS(ok(z0)) → c30(DBLS(z0))
419.73/127.25
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.73/127.25
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.73/127.25
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.73/127.25
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.73/127.25
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.73/127.25
DBL1(mark(z0)) → c36(DBL1(z0))
419.73/127.25
DBL1(ok(z0)) → c37(DBL1(z0))
419.73/127.25
S1(mark(z0)) → c38(S1(z0))
419.73/127.25
S1(ok(z0)) → c39(S1(z0))
419.73/127.25
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.73/127.25
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.73/127.25
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.73/127.25
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.73/127.25
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.73/127.25
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.73/127.25
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
419.73/127.25
S(ok(z0)) → c59(S(z0))
419.73/127.25
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.73/127.25
FROM(ok(z0)) → c61(FROM(z0))
419.73/127.25
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
419.73/127.25
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.73/127.25
ACTIVE(from(z0)) → c8(S(z0))
419.73/127.25
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.73/127.25
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.73/127.25
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.73/127.25
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.73/127.25
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.73/127.25
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.73/127.25
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.73/127.25
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.73/127.25
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.73/127.25
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.73/127.25
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.73/127.25
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.73/127.25
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.73/127.25
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.73/127.25
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.25
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.25
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.25
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.25
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.25
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.25
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.25
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.25
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.25
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.25
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.25
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.25
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.25
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.25
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.25
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.25
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.73/127.25
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.73/127.25
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.73/127.25
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.73/127.25
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.73/127.25
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.25
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.25
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.25
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.25
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.25
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.25
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.25
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.25
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.25
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.25
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.25
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.25
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.25
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.25
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.25
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.25
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.73/127.25
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.73/127.25
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.73/127.25
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.25
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.25
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.73/127.25
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.73/127.25
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.25
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.25
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.73/127.25
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.73/127.25
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.25
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.25
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.25
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.25
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.73/127.25
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.73/127.25
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.73/127.25
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.73/127.25
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.73/127.25
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.73/127.25
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.73/127.25
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.73/127.25
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.73/127.25
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.73/127.25
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.73/127.25
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.73/127.25
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.73/127.25
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.73/127.25
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.73/127.25
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.73/127.25
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.73/127.25
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.25
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.25
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.25
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.25
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.73/127.25
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.73/127.25
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.73/127.25
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.73/127.25
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.73/127.25
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.25
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.73/127.25
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.73/127.25
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.25
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.25
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.25
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.25
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.25
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.25
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.25
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.25
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.25
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.25
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.25
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.25
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.25
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.25
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.25
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.25
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.73/127.25
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.73/127.25
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.25
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.73/127.25
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.73/127.25
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.73/127.25
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.73/127.25
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.73/127.25
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.25
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.73/127.25
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.25
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.73/127.25
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.25
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.73/127.25
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.73/127.25
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.25
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.73/127.25
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.25
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.25
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.73/127.25
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.73/127.25
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.73/127.25
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.25
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.25
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.25
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.25
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.25
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.25
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.25
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.25
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.25
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.25
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.25
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.25
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.25
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.25
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.25
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.25
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.25
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.73/127.25
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.73/127.25
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.73/127.25
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.73/127.25
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.73/127.25
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.73/127.25
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.25
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.73/127.25
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.25
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.25
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.73/127.25
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.73/127.25
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.73/127.25
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.73/127.25
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.25
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.25
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.25
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.25
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.25
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.25
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.25
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.25
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.25
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.25
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.25
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.25
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.25
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.25
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.25
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.25
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.73/127.25
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.73/127.25
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.25
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.73/127.25
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.73/127.25
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.73/127.25
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.73/127.25
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.73/127.25
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.73/127.25
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.73/127.25
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.73/127.25
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.25
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.73/127.25
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.25
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.73/127.25
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.73/127.25
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.73/127.25
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.25
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.73/127.25
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.25
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.73/127.25
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.73/127.25
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.25
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.73/127.25
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.25
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.25
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.73/127.25
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.73/127.25
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.73/127.25
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.73/127.25
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.73/127.25
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.25
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.25
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.73/127.25
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.25
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.25
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.25
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.25
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.73/127.25
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.25
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.25
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.25
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.25
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.73/127.25
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.73/127.25
PROPER(dbl(01)) → c45(DBL(ok(01)))
419.73/127.25
PROPER(s(dbl(z0))) → c47(S(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.25
PROPER(s(s(z0))) → c47(S(s(proper(z0))), PROPER(s(z0)))
419.73/127.25
PROPER(s(dbls(z0))) → c47(S(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.25
PROPER(s(cons(z0, z1))) → c47(S(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.25
PROPER(s(sel(z0, z1))) → c47(S(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.25
PROPER(s(indx(z0, z1))) → c47(S(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.25
PROPER(s(from(z0))) → c47(S(from(proper(z0))), PROPER(from(z0)))
419.73/127.25
PROPER(s(dbl1(z0))) → c47(S(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.25
PROPER(s(s1(z0))) → c47(S(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.25
PROPER(s(sel1(z0, z1))) → c47(S(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.25
PROPER(s(quote(z0))) → c47(S(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.25
PROPER(s(0)) → c47(S(ok(0)))
419.73/127.25
PROPER(s(nil)) → c47(S(ok(nil)))
419.73/127.25
PROPER(s(01)) → c47(S(ok(01)))
419.73/127.25
PROPER(dbls(dbl(z0))) → c48(DBLS(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.25
PROPER(dbls(s(z0))) → c48(DBLS(s(proper(z0))), PROPER(s(z0)))
419.73/127.25
PROPER(dbls(dbls(z0))) → c48(DBLS(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.25
PROPER(dbls(cons(z0, z1))) → c48(DBLS(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.25
PROPER(dbls(sel(z0, z1))) → c48(DBLS(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.25
PROPER(dbls(indx(z0, z1))) → c48(DBLS(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.25
PROPER(dbls(from(z0))) → c48(DBLS(from(proper(z0))), PROPER(from(z0)))
419.73/127.25
PROPER(dbls(dbl1(z0))) → c48(DBLS(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.25
PROPER(dbls(s1(z0))) → c48(DBLS(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.25
PROPER(dbls(sel1(z0, z1))) → c48(DBLS(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.25
PROPER(dbls(quote(z0))) → c48(DBLS(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.25
PROPER(dbls(0)) → c48(DBLS(ok(0)))
419.73/127.25
PROPER(dbls(nil)) → c48(DBLS(ok(nil)))
419.73/127.25
PROPER(dbls(01)) → c48(DBLS(ok(01)))
419.73/127.25
PROPER(cons(x0, dbl(z0))) → c50(CONS(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.25
PROPER(cons(x0, s(z0))) → c50(CONS(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.25
PROPER(cons(x0, dbls(z0))) → c50(CONS(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.25
PROPER(cons(x0, cons(z0, z1))) → c50(CONS(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.25
PROPER(cons(x0, sel(z0, z1))) → c50(CONS(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.25
PROPER(cons(x0, indx(z0, z1))) → c50(CONS(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.25
PROPER(cons(x0, from(z0))) → c50(CONS(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.25
PROPER(cons(x0, dbl1(z0))) → c50(CONS(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.25
PROPER(cons(x0, s1(z0))) → c50(CONS(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.25
PROPER(cons(x0, sel1(z0, z1))) → c50(CONS(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.25
PROPER(cons(x0, quote(z0))) → c50(CONS(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.25
PROPER(cons(dbl(z0), x1)) → c50(CONS(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.25
PROPER(cons(s(z0), x1)) → c50(CONS(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.25
PROPER(cons(dbls(z0), x1)) → c50(CONS(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.25
PROPER(cons(cons(z0, z1), x1)) → c50(CONS(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.25
PROPER(cons(sel(z0, z1), x1)) → c50(CONS(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.25
PROPER(cons(indx(z0, z1), x1)) → c50(CONS(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.25
PROPER(cons(from(z0), x1)) → c50(CONS(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.25
PROPER(cons(dbl1(z0), x1)) → c50(CONS(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.25
PROPER(cons(s1(z0), x1)) → c50(CONS(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.25
PROPER(cons(sel1(z0, z1), x1)) → c50(CONS(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.25
PROPER(cons(quote(z0), x1)) → c50(CONS(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.25
PROPER(cons(x0, 0)) → c50(CONS(proper(x0), ok(0)), PROPER(x0))
419.73/127.25
PROPER(cons(x0, nil)) → c50(CONS(proper(x0), ok(nil)), PROPER(x0))
419.73/127.25
PROPER(cons(x0, 01)) → c50(CONS(proper(x0), ok(01)), PROPER(x0))
419.73/127.25
PROPER(cons(0, x1)) → c50(CONS(ok(0), proper(x1)), PROPER(x1))
419.73/127.25
PROPER(cons(nil, x1)) → c50(CONS(ok(nil), proper(x1)), PROPER(x1))
419.73/127.25
PROPER(cons(01, x1)) → c50(CONS(ok(01), proper(x1)), PROPER(x1))
419.73/127.25
PROPER(sel(x0, dbl(z0))) → c51(SEL(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.25
PROPER(sel(x0, s(z0))) → c51(SEL(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.25
PROPER(sel(x0, dbls(z0))) → c51(SEL(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.25
PROPER(sel(x0, cons(z0, z1))) → c51(SEL(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.25
PROPER(sel(x0, sel(z0, z1))) → c51(SEL(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.25
PROPER(sel(x0, indx(z0, z1))) → c51(SEL(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.25
PROPER(sel(x0, from(z0))) → c51(SEL(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.25
PROPER(sel(x0, dbl1(z0))) → c51(SEL(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.25
PROPER(sel(x0, s1(z0))) → c51(SEL(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.25
PROPER(sel(x0, sel1(z0, z1))) → c51(SEL(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.25
PROPER(sel(x0, quote(z0))) → c51(SEL(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.25
PROPER(sel(dbl(z0), x1)) → c51(SEL(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.25
PROPER(sel(s(z0), x1)) → c51(SEL(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.25
PROPER(sel(dbls(z0), x1)) → c51(SEL(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.25
PROPER(sel(cons(z0, z1), x1)) → c51(SEL(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.25
PROPER(sel(sel(z0, z1), x1)) → c51(SEL(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.25
PROPER(sel(indx(z0, z1), x1)) → c51(SEL(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.25
PROPER(sel(from(z0), x1)) → c51(SEL(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.25
PROPER(sel(dbl1(z0), x1)) → c51(SEL(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.25
PROPER(sel(s1(z0), x1)) → c51(SEL(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.25
PROPER(sel(sel1(z0, z1), x1)) → c51(SEL(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.25
PROPER(sel(quote(z0), x1)) → c51(SEL(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.25
PROPER(sel(x0, 0)) → c51(SEL(proper(x0), ok(0)), PROPER(x0))
419.73/127.25
PROPER(sel(x0, nil)) → c51(SEL(proper(x0), ok(nil)), PROPER(x0))
419.73/127.25
PROPER(sel(x0, 01)) → c51(SEL(proper(x0), ok(01)), PROPER(x0))
419.73/127.25
PROPER(sel(0, x1)) → c51(SEL(ok(0), proper(x1)), PROPER(x1))
419.73/127.25
PROPER(sel(nil, x1)) → c51(SEL(ok(nil), proper(x1)), PROPER(x1))
419.73/127.25
PROPER(sel(01, x1)) → c51(SEL(ok(01), proper(x1)), PROPER(x1))
419.73/127.25
PROPER(indx(x0, dbl(z0))) → c52(INDX(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.25
PROPER(indx(x0, s(z0))) → c52(INDX(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.25
PROPER(indx(x0, dbls(z0))) → c52(INDX(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.25
PROPER(indx(x0, cons(z0, z1))) → c52(INDX(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.25
PROPER(indx(x0, sel(z0, z1))) → c52(INDX(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.25
PROPER(indx(x0, indx(z0, z1))) → c52(INDX(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.26
PROPER(indx(x0, from(z0))) → c52(INDX(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.26
PROPER(indx(x0, dbl1(z0))) → c52(INDX(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.26
PROPER(indx(x0, s1(z0))) → c52(INDX(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.26
PROPER(indx(x0, sel1(z0, z1))) → c52(INDX(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.26
PROPER(indx(x0, quote(z0))) → c52(INDX(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.26
PROPER(indx(dbl(z0), x1)) → c52(INDX(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.26
PROPER(indx(s(z0), x1)) → c52(INDX(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.26
PROPER(indx(dbls(z0), x1)) → c52(INDX(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.26
PROPER(indx(cons(z0, z1), x1)) → c52(INDX(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.26
PROPER(indx(sel(z0, z1), x1)) → c52(INDX(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.26
PROPER(indx(indx(z0, z1), x1)) → c52(INDX(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.26
PROPER(indx(from(z0), x1)) → c52(INDX(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.26
PROPER(indx(dbl1(z0), x1)) → c52(INDX(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.26
PROPER(indx(s1(z0), x1)) → c52(INDX(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.26
PROPER(indx(sel1(z0, z1), x1)) → c52(INDX(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.26
PROPER(indx(quote(z0), x1)) → c52(INDX(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.26
PROPER(indx(x0, 0)) → c52(INDX(proper(x0), ok(0)), PROPER(x0))
419.73/127.26
PROPER(indx(x0, nil)) → c52(INDX(proper(x0), ok(nil)), PROPER(x0))
419.73/127.26
PROPER(indx(x0, 01)) → c52(INDX(proper(x0), ok(01)), PROPER(x0))
419.73/127.26
PROPER(indx(0, x1)) → c52(INDX(ok(0), proper(x1)), PROPER(x1))
419.73/127.26
PROPER(indx(nil, x1)) → c52(INDX(ok(nil), proper(x1)), PROPER(x1))
419.73/127.26
PROPER(indx(01, x1)) → c52(INDX(ok(01), proper(x1)), PROPER(x1))
419.73/127.26
PROPER(from(dbl(z0))) → c53(FROM(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.26
PROPER(from(s(z0))) → c53(FROM(s(proper(z0))), PROPER(s(z0)))
419.73/127.26
PROPER(from(dbls(z0))) → c53(FROM(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.26
PROPER(from(cons(z0, z1))) → c53(FROM(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.26
PROPER(from(sel(z0, z1))) → c53(FROM(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.26
PROPER(from(indx(z0, z1))) → c53(FROM(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.26
PROPER(from(from(z0))) → c53(FROM(from(proper(z0))), PROPER(from(z0)))
419.73/127.26
PROPER(from(dbl1(z0))) → c53(FROM(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.26
PROPER(from(s1(z0))) → c53(FROM(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.26
PROPER(from(sel1(z0, z1))) → c53(FROM(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.26
PROPER(from(quote(z0))) → c53(FROM(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.26
PROPER(from(0)) → c53(FROM(ok(0)))
419.73/127.26
PROPER(from(nil)) → c53(FROM(ok(nil)))
419.73/127.26
PROPER(from(01)) → c53(FROM(ok(01)))
419.73/127.26
PROPER(dbl1(dbl(z0))) → c54(DBL1(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.26
PROPER(dbl1(s(z0))) → c54(DBL1(s(proper(z0))), PROPER(s(z0)))
419.73/127.26
PROPER(dbl1(dbls(z0))) → c54(DBL1(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.26
PROPER(dbl1(cons(z0, z1))) → c54(DBL1(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.26
PROPER(dbl1(sel(z0, z1))) → c54(DBL1(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.26
PROPER(dbl1(indx(z0, z1))) → c54(DBL1(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.26
PROPER(dbl1(from(z0))) → c54(DBL1(from(proper(z0))), PROPER(from(z0)))
419.73/127.26
PROPER(dbl1(dbl1(z0))) → c54(DBL1(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.26
PROPER(dbl1(s1(z0))) → c54(DBL1(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.26
PROPER(dbl1(sel1(z0, z1))) → c54(DBL1(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.26
PROPER(dbl1(quote(z0))) → c54(DBL1(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.26
PROPER(dbl1(0)) → c54(DBL1(ok(0)))
419.73/127.26
PROPER(dbl1(nil)) → c54(DBL1(ok(nil)))
419.73/127.26
PROPER(dbl1(01)) → c54(DBL1(ok(01)))
419.73/127.26
PROPER(s1(dbl(z0))) → c56(S1(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.26
PROPER(s1(0)) → c56(S1(ok(0)), PROPER(0))
419.73/127.26
PROPER(s1(s(z0))) → c56(S1(s(proper(z0))), PROPER(s(z0)))
419.73/127.26
PROPER(s1(dbls(z0))) → c56(S1(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.26
PROPER(s1(nil)) → c56(S1(ok(nil)), PROPER(nil))
419.73/127.26
PROPER(s1(cons(z0, z1))) → c56(S1(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.26
PROPER(s1(sel(z0, z1))) → c56(S1(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.26
PROPER(s1(indx(z0, z1))) → c56(S1(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.26
PROPER(s1(from(z0))) → c56(S1(from(proper(z0))), PROPER(from(z0)))
419.73/127.26
PROPER(s1(dbl1(z0))) → c56(S1(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.26
PROPER(s1(01)) → c56(S1(ok(01)), PROPER(01))
419.73/127.26
PROPER(s1(s1(z0))) → c56(S1(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.26
PROPER(s1(sel1(z0, z1))) → c56(S1(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.26
PROPER(s1(quote(z0))) → c56(S1(quote(proper(z0))), PROPER(quote(z0)))
S tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.73/127.26
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.73/127.26
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.73/127.26
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.73/127.26
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.73/127.26
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.73/127.26
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.73/127.26
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.73/127.26
DBL(mark(z0)) → c27(DBL(z0))
419.73/127.26
DBL(ok(z0)) → c28(DBL(z0))
419.73/127.26
DBLS(mark(z0)) → c29(DBLS(z0))
419.73/127.26
DBLS(ok(z0)) → c30(DBLS(z0))
419.73/127.26
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.73/127.26
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.73/127.26
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.73/127.26
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.73/127.26
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.73/127.26
DBL1(mark(z0)) → c36(DBL1(z0))
419.73/127.26
DBL1(ok(z0)) → c37(DBL1(z0))
419.73/127.26
S1(mark(z0)) → c38(S1(z0))
419.73/127.26
S1(ok(z0)) → c39(S1(z0))
419.73/127.26
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.73/127.26
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.73/127.26
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.73/127.26
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.73/127.26
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.73/127.26
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.73/127.26
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
419.73/127.26
S(ok(z0)) → c59(S(z0))
419.73/127.26
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.73/127.26
FROM(ok(z0)) → c61(FROM(z0))
419.73/127.26
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
419.73/127.26
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.73/127.26
ACTIVE(from(z0)) → c8(S(z0))
419.73/127.26
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.73/127.26
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.73/127.26
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.73/127.26
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.73/127.26
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.73/127.26
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.73/127.26
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.73/127.26
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.73/127.26
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.73/127.26
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.73/127.26
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.73/127.26
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.73/127.26
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.73/127.26
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.73/127.26
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.26
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.26
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.26
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.26
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.26
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.26
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.26
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.26
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.26
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.26
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.26
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.26
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.26
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.26
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.26
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.26
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.73/127.26
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.73/127.26
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.73/127.26
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.73/127.26
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.73/127.26
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.26
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.26
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.26
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.26
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.26
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.26
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.26
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.26
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.26
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.26
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.26
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.26
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.26
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.26
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.26
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.26
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.73/127.26
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.73/127.26
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.73/127.26
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.26
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.26
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.73/127.26
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.73/127.26
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.26
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.26
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.73/127.26
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.73/127.26
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.26
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.26
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.26
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.26
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.73/127.26
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.73/127.26
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.73/127.26
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.73/127.26
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.73/127.26
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.73/127.26
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.73/127.26
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.73/127.26
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.73/127.26
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.73/127.26
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.73/127.26
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.73/127.26
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.73/127.26
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.73/127.26
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.73/127.26
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.73/127.26
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.73/127.26
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.26
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.26
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.26
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.26
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.73/127.26
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.73/127.26
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.73/127.26
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.73/127.26
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.73/127.26
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.26
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.73/127.26
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.73/127.26
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.26
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.26
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.26
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.26
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.26
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.26
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.26
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.26
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.26
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.26
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.26
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.26
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.26
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.26
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.26
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.26
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.73/127.26
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.73/127.26
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.26
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.73/127.26
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.73/127.26
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.73/127.26
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.73/127.26
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.73/127.26
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.26
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.73/127.26
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.26
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.73/127.26
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.26
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.73/127.26
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.73/127.26
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.26
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.73/127.26
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.26
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.26
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.73/127.26
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.73/127.26
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.73/127.26
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.26
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.26
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.26
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.26
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.26
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.26
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.26
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.26
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.26
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.26
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.26
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.26
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.26
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.26
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.26
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.26
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.26
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.73/127.26
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.73/127.26
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.73/127.26
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.73/127.26
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.73/127.26
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.73/127.26
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.26
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.73/127.26
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.26
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.26
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.73/127.26
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.73/127.26
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.73/127.26
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.73/127.26
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.26
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.26
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.26
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.26
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.26
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.26
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.26
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.26
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.26
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.26
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.26
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.26
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.26
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.26
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.26
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.26
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.73/127.26
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.73/127.26
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.26
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.73/127.26
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.73/127.26
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.73/127.26
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.73/127.26
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.73/127.26
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.73/127.26
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.73/127.26
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.73/127.26
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.26
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.73/127.26
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.26
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.73/127.26
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.73/127.26
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.73/127.26
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.26
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.73/127.26
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.26
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.73/127.26
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.73/127.26
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.26
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.73/127.26
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.26
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.26
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.73/127.26
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.73/127.26
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.73/127.26
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.73/127.26
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.73/127.26
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.26
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.26
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.73/127.26
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.26
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.26
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.26
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.26
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.73/127.26
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.26
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.26
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.26
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.26
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.73/127.26
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.73/127.26
PROPER(dbl(01)) → c45(DBL(ok(01)))
419.73/127.26
PROPER(s(dbl(z0))) → c47(S(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.26
PROPER(s(s(z0))) → c47(S(s(proper(z0))), PROPER(s(z0)))
419.73/127.26
PROPER(s(dbls(z0))) → c47(S(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.26
PROPER(s(cons(z0, z1))) → c47(S(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.26
PROPER(s(sel(z0, z1))) → c47(S(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.26
PROPER(s(indx(z0, z1))) → c47(S(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.26
PROPER(s(from(z0))) → c47(S(from(proper(z0))), PROPER(from(z0)))
419.73/127.26
PROPER(s(dbl1(z0))) → c47(S(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.26
PROPER(s(s1(z0))) → c47(S(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.26
PROPER(s(sel1(z0, z1))) → c47(S(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.26
PROPER(s(quote(z0))) → c47(S(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.26
PROPER(s(0)) → c47(S(ok(0)))
419.73/127.26
PROPER(s(nil)) → c47(S(ok(nil)))
419.73/127.26
PROPER(s(01)) → c47(S(ok(01)))
419.73/127.26
PROPER(dbls(dbl(z0))) → c48(DBLS(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.26
PROPER(dbls(s(z0))) → c48(DBLS(s(proper(z0))), PROPER(s(z0)))
419.73/127.26
PROPER(dbls(dbls(z0))) → c48(DBLS(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.26
PROPER(dbls(cons(z0, z1))) → c48(DBLS(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.26
PROPER(dbls(sel(z0, z1))) → c48(DBLS(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.26
PROPER(dbls(indx(z0, z1))) → c48(DBLS(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.26
PROPER(dbls(from(z0))) → c48(DBLS(from(proper(z0))), PROPER(from(z0)))
419.73/127.26
PROPER(dbls(dbl1(z0))) → c48(DBLS(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.26
PROPER(dbls(s1(z0))) → c48(DBLS(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.26
PROPER(dbls(sel1(z0, z1))) → c48(DBLS(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.26
PROPER(dbls(quote(z0))) → c48(DBLS(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.26
PROPER(dbls(0)) → c48(DBLS(ok(0)))
419.73/127.26
PROPER(dbls(nil)) → c48(DBLS(ok(nil)))
419.73/127.26
PROPER(dbls(01)) → c48(DBLS(ok(01)))
419.73/127.26
PROPER(cons(x0, dbl(z0))) → c50(CONS(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.26
PROPER(cons(x0, s(z0))) → c50(CONS(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.26
PROPER(cons(x0, dbls(z0))) → c50(CONS(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.26
PROPER(cons(x0, cons(z0, z1))) → c50(CONS(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.26
PROPER(cons(x0, sel(z0, z1))) → c50(CONS(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.26
PROPER(cons(x0, indx(z0, z1))) → c50(CONS(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.26
PROPER(cons(x0, from(z0))) → c50(CONS(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.26
PROPER(cons(x0, dbl1(z0))) → c50(CONS(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.26
PROPER(cons(x0, s1(z0))) → c50(CONS(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.26
PROPER(cons(x0, sel1(z0, z1))) → c50(CONS(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.26
PROPER(cons(x0, quote(z0))) → c50(CONS(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.26
PROPER(cons(dbl(z0), x1)) → c50(CONS(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.26
PROPER(cons(s(z0), x1)) → c50(CONS(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.26
PROPER(cons(dbls(z0), x1)) → c50(CONS(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.26
PROPER(cons(cons(z0, z1), x1)) → c50(CONS(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.26
PROPER(cons(sel(z0, z1), x1)) → c50(CONS(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.26
PROPER(cons(indx(z0, z1), x1)) → c50(CONS(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.26
PROPER(cons(from(z0), x1)) → c50(CONS(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.26
PROPER(cons(dbl1(z0), x1)) → c50(CONS(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.26
PROPER(cons(s1(z0), x1)) → c50(CONS(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.26
PROPER(cons(sel1(z0, z1), x1)) → c50(CONS(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.26
PROPER(cons(quote(z0), x1)) → c50(CONS(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.26
PROPER(cons(x0, 0)) → c50(CONS(proper(x0), ok(0)), PROPER(x0))
419.73/127.26
PROPER(cons(x0, nil)) → c50(CONS(proper(x0), ok(nil)), PROPER(x0))
419.73/127.26
PROPER(cons(x0, 01)) → c50(CONS(proper(x0), ok(01)), PROPER(x0))
419.73/127.26
PROPER(cons(0, x1)) → c50(CONS(ok(0), proper(x1)), PROPER(x1))
419.73/127.26
PROPER(cons(nil, x1)) → c50(CONS(ok(nil), proper(x1)), PROPER(x1))
419.73/127.26
PROPER(cons(01, x1)) → c50(CONS(ok(01), proper(x1)), PROPER(x1))
419.73/127.26
PROPER(sel(x0, dbl(z0))) → c51(SEL(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.26
PROPER(sel(x0, s(z0))) → c51(SEL(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.26
PROPER(sel(x0, dbls(z0))) → c51(SEL(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.26
PROPER(sel(x0, cons(z0, z1))) → c51(SEL(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.26
PROPER(sel(x0, sel(z0, z1))) → c51(SEL(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.26
PROPER(sel(x0, indx(z0, z1))) → c51(SEL(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.26
PROPER(sel(x0, from(z0))) → c51(SEL(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.26
PROPER(sel(x0, dbl1(z0))) → c51(SEL(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.26
PROPER(sel(x0, s1(z0))) → c51(SEL(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.26
PROPER(sel(x0, sel1(z0, z1))) → c51(SEL(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.26
PROPER(sel(x0, quote(z0))) → c51(SEL(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.26
PROPER(sel(dbl(z0), x1)) → c51(SEL(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.26
PROPER(sel(s(z0), x1)) → c51(SEL(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.26
PROPER(sel(dbls(z0), x1)) → c51(SEL(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.26
PROPER(sel(cons(z0, z1), x1)) → c51(SEL(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.26
PROPER(sel(sel(z0, z1), x1)) → c51(SEL(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.26
PROPER(sel(indx(z0, z1), x1)) → c51(SEL(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.26
PROPER(sel(from(z0), x1)) → c51(SEL(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.26
PROPER(sel(dbl1(z0), x1)) → c51(SEL(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.26
PROPER(sel(s1(z0), x1)) → c51(SEL(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.26
PROPER(sel(sel1(z0, z1), x1)) → c51(SEL(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.26
PROPER(sel(quote(z0), x1)) → c51(SEL(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.26
PROPER(sel(x0, 0)) → c51(SEL(proper(x0), ok(0)), PROPER(x0))
419.73/127.26
PROPER(sel(x0, nil)) → c51(SEL(proper(x0), ok(nil)), PROPER(x0))
419.73/127.26
PROPER(sel(x0, 01)) → c51(SEL(proper(x0), ok(01)), PROPER(x0))
419.73/127.26
PROPER(sel(0, x1)) → c51(SEL(ok(0), proper(x1)), PROPER(x1))
419.73/127.26
PROPER(sel(nil, x1)) → c51(SEL(ok(nil), proper(x1)), PROPER(x1))
419.73/127.26
PROPER(sel(01, x1)) → c51(SEL(ok(01), proper(x1)), PROPER(x1))
419.73/127.26
PROPER(indx(x0, dbl(z0))) → c52(INDX(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.26
PROPER(indx(x0, s(z0))) → c52(INDX(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.26
PROPER(indx(x0, dbls(z0))) → c52(INDX(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.26
PROPER(indx(x0, cons(z0, z1))) → c52(INDX(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.26
PROPER(indx(x0, sel(z0, z1))) → c52(INDX(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.26
PROPER(indx(x0, indx(z0, z1))) → c52(INDX(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.26
PROPER(indx(x0, from(z0))) → c52(INDX(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.26
PROPER(indx(x0, dbl1(z0))) → c52(INDX(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.26
PROPER(indx(x0, s1(z0))) → c52(INDX(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.26
PROPER(indx(x0, sel1(z0, z1))) → c52(INDX(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.26
PROPER(indx(x0, quote(z0))) → c52(INDX(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.26
PROPER(indx(dbl(z0), x1)) → c52(INDX(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.26
PROPER(indx(s(z0), x1)) → c52(INDX(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.26
PROPER(indx(dbls(z0), x1)) → c52(INDX(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.26
PROPER(indx(cons(z0, z1), x1)) → c52(INDX(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.26
PROPER(indx(sel(z0, z1), x1)) → c52(INDX(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.26
PROPER(indx(indx(z0, z1), x1)) → c52(INDX(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.26
PROPER(indx(from(z0), x1)) → c52(INDX(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.26
PROPER(indx(dbl1(z0), x1)) → c52(INDX(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.26
PROPER(indx(s1(z0), x1)) → c52(INDX(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.26
PROPER(indx(sel1(z0, z1), x1)) → c52(INDX(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.26
PROPER(indx(quote(z0), x1)) → c52(INDX(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.26
PROPER(indx(x0, 0)) → c52(INDX(proper(x0), ok(0)), PROPER(x0))
419.73/127.26
PROPER(indx(x0, nil)) → c52(INDX(proper(x0), ok(nil)), PROPER(x0))
419.73/127.26
PROPER(indx(x0, 01)) → c52(INDX(proper(x0), ok(01)), PROPER(x0))
419.73/127.26
PROPER(indx(0, x1)) → c52(INDX(ok(0), proper(x1)), PROPER(x1))
419.73/127.26
PROPER(indx(nil, x1)) → c52(INDX(ok(nil), proper(x1)), PROPER(x1))
419.73/127.26
PROPER(indx(01, x1)) → c52(INDX(ok(01), proper(x1)), PROPER(x1))
419.73/127.26
PROPER(from(dbl(z0))) → c53(FROM(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.26
PROPER(from(s(z0))) → c53(FROM(s(proper(z0))), PROPER(s(z0)))
419.73/127.26
PROPER(from(dbls(z0))) → c53(FROM(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.26
PROPER(from(cons(z0, z1))) → c53(FROM(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.26
PROPER(from(sel(z0, z1))) → c53(FROM(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.26
PROPER(from(indx(z0, z1))) → c53(FROM(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.26
PROPER(from(from(z0))) → c53(FROM(from(proper(z0))), PROPER(from(z0)))
419.73/127.26
PROPER(from(dbl1(z0))) → c53(FROM(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.26
PROPER(from(s1(z0))) → c53(FROM(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.26
PROPER(from(sel1(z0, z1))) → c53(FROM(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.26
PROPER(from(quote(z0))) → c53(FROM(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.26
PROPER(from(0)) → c53(FROM(ok(0)))
419.73/127.26
PROPER(from(nil)) → c53(FROM(ok(nil)))
419.73/127.26
PROPER(from(01)) → c53(FROM(ok(01)))
419.73/127.26
PROPER(dbl1(dbl(z0))) → c54(DBL1(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.26
PROPER(dbl1(s(z0))) → c54(DBL1(s(proper(z0))), PROPER(s(z0)))
419.73/127.26
PROPER(dbl1(dbls(z0))) → c54(DBL1(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.26
PROPER(dbl1(cons(z0, z1))) → c54(DBL1(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.26
PROPER(dbl1(sel(z0, z1))) → c54(DBL1(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.26
PROPER(dbl1(indx(z0, z1))) → c54(DBL1(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.26
PROPER(dbl1(from(z0))) → c54(DBL1(from(proper(z0))), PROPER(from(z0)))
419.73/127.26
PROPER(dbl1(dbl1(z0))) → c54(DBL1(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.26
PROPER(dbl1(s1(z0))) → c54(DBL1(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.26
PROPER(dbl1(sel1(z0, z1))) → c54(DBL1(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.26
PROPER(dbl1(quote(z0))) → c54(DBL1(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.26
PROPER(dbl1(0)) → c54(DBL1(ok(0)))
419.73/127.26
PROPER(dbl1(nil)) → c54(DBL1(ok(nil)))
419.73/127.26
PROPER(dbl1(01)) → c54(DBL1(ok(01)))
419.73/127.26
PROPER(s1(dbl(z0))) → c56(S1(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.26
PROPER(s1(0)) → c56(S1(ok(0)), PROPER(0))
419.73/127.26
PROPER(s1(s(z0))) → c56(S1(s(proper(z0))), PROPER(s(z0)))
419.73/127.26
PROPER(s1(dbls(z0))) → c56(S1(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.26
PROPER(s1(nil)) → c56(S1(ok(nil)), PROPER(nil))
419.73/127.26
PROPER(s1(cons(z0, z1))) → c56(S1(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.26
PROPER(s1(sel(z0, z1))) → c56(S1(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.26
PROPER(s1(indx(z0, z1))) → c56(S1(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.26
PROPER(s1(from(z0))) → c56(S1(from(proper(z0))), PROPER(from(z0)))
419.73/127.26
PROPER(s1(dbl1(z0))) → c56(S1(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.26
PROPER(s1(01)) → c56(S1(ok(01)), PROPER(01))
419.73/127.26
PROPER(s1(s1(z0))) → c56(S1(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.26
PROPER(s1(sel1(z0, z1))) → c56(S1(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.26
PROPER(s1(quote(z0))) → c56(S1(quote(proper(z0))), PROPER(quote(z0)))
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
ACTIVE, DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, PROPER, S, CONS, FROM, TOP
Compound Symbols:
c5, c12, c15, c16, c19, c20, c24, c25, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c57, c58, c59, c60, c61, c62, c63, c8, c, c17, c17, c1, c18, c18, c2, c21, c21, c3, c22, c22, c4, c23, c23, c6, c26, c26, c7, c45, c45, c47, c47, c48, c48, c50, c50, c51, c51, c52, c52, c53, c53, c54, c54, c56
419.73/127.26
419.73/127.26
(77) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID) transformation)
Removed 3 trailing tuple parts
419.73/127.26
419.73/127.26
(78) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
419.73/127.26
active(dbl(s(z0))) → mark(s(s(dbl(z0))))
419.73/127.26
active(dbls(nil)) → mark(nil)
419.73/127.26
active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
419.73/127.26
active(sel(0, cons(z0, z1))) → mark(z0)
419.73/127.26
active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
419.73/127.26
active(indx(nil, z0)) → mark(nil)
419.73/127.26
active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
419.73/127.26
active(from(z0)) → mark(cons(z0, from(s(z0))))
419.73/127.26
active(dbl1(0)) → mark(01)
419.73/127.26
active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
419.73/127.26
active(sel1(0, cons(z0, z1))) → mark(z0)
419.73/127.26
active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
419.73/127.26
active(quote(0)) → mark(01)
419.73/127.26
active(quote(s(z0))) → mark(s1(quote(z0)))
419.73/127.26
active(quote(dbl(z0))) → mark(dbl1(z0))
419.73/127.26
active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
419.73/127.26
active(dbl(z0)) → dbl(active(z0))
419.73/127.26
active(dbls(z0)) → dbls(active(z0))
419.73/127.26
active(sel(z0, z1)) → sel(active(z0), z1)
419.73/127.26
active(sel(z0, z1)) → sel(z0, active(z1))
419.73/127.26
active(indx(z0, z1)) → indx(active(z0), z1)
419.73/127.26
active(dbl1(z0)) → dbl1(active(z0))
419.73/127.26
active(s1(z0)) → s1(active(z0))
419.73/127.26
active(sel1(z0, z1)) → sel1(active(z0), z1)
419.73/127.26
active(sel1(z0, z1)) → sel1(z0, active(z1))
419.73/127.26
active(quote(z0)) → quote(active(z0))
419.73/127.26
dbl(mark(z0)) → mark(dbl(z0))
419.73/127.26
dbl(ok(z0)) → ok(dbl(z0))
419.73/127.26
dbls(mark(z0)) → mark(dbls(z0))
419.73/127.26
dbls(ok(z0)) → ok(dbls(z0))
419.73/127.26
sel(mark(z0), z1) → mark(sel(z0, z1))
419.73/127.26
sel(z0, mark(z1)) → mark(sel(z0, z1))
419.73/127.26
sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
419.73/127.26
indx(mark(z0), z1) → mark(indx(z0, z1))
419.73/127.26
indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
419.73/127.26
dbl1(mark(z0)) → mark(dbl1(z0))
419.73/127.26
dbl1(ok(z0)) → ok(dbl1(z0))
419.73/127.26
s1(mark(z0)) → mark(s1(z0))
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s1(ok(z0)) → ok(s1(z0))
419.73/127.26
sel1(mark(z0), z1) → mark(sel1(z0, z1))
419.73/127.26
sel1(z0, mark(z1)) → mark(sel1(z0, z1))
419.73/127.26
sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
419.73/127.26
quote(mark(z0)) → mark(quote(z0))
419.73/127.26
quote(ok(z0)) → ok(quote(z0))
419.73/127.26
proper(dbl(z0)) → dbl(proper(z0))
419.73/127.26
proper(0) → ok(0)
419.73/127.26
proper(s(z0)) → s(proper(z0))
419.73/127.26
proper(dbls(z0)) → dbls(proper(z0))
419.73/127.26
proper(nil) → ok(nil)
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proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
419.73/127.26
proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
419.73/127.26
proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
419.73/127.26
proper(from(z0)) → from(proper(z0))
419.73/127.26
proper(dbl1(z0)) → dbl1(proper(z0))
419.73/127.26
proper(01) → ok(01)
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proper(s1(z0)) → s1(proper(z0))
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proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
419.73/127.26
proper(quote(z0)) → quote(proper(z0))
419.73/127.26
s(ok(z0)) → ok(s(z0))
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cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
419.73/127.26
from(ok(z0)) → ok(from(z0))
419.73/127.26
top(mark(z0)) → top(proper(z0))
419.73/127.26
top(ok(z0)) → top(active(z0))
Tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.73/127.26
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.73/127.26
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
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ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.73/127.26
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.73/127.26
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.73/127.26
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.73/127.26
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.73/127.26
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
419.73/127.26
DBLS(mark(z0)) → c29(DBLS(z0))
419.73/127.26
DBLS(ok(z0)) → c30(DBLS(z0))
419.73/127.26
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.73/127.26
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.73/127.26
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.73/127.26
DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
419.73/127.26
S1(mark(z0)) → c38(S1(z0))
419.73/127.26
S1(ok(z0)) → c39(S1(z0))
419.73/127.26
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.73/127.26
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.73/127.26
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.73/127.26
QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
419.73/127.26
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.73/127.26
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
419.73/127.26
S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.73/127.26
FROM(ok(z0)) → c61(FROM(z0))
419.73/127.26
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
419.73/127.26
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.73/127.26
ACTIVE(from(z0)) → c8(S(z0))
419.73/127.26
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.73/127.26
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.73/127.26
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.73/127.26
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.73/127.26
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.73/127.26
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.73/127.26
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.73/127.26
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.73/127.26
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.73/127.26
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.73/127.26
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.73/127.26
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.73/127.26
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.73/127.26
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.73/127.26
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.26
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.26
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.26
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.26
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.26
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.26
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.26
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.26
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.26
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.26
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.26
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.26
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.26
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.26
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.26
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.26
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.73/127.26
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.73/127.26
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.73/127.26
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.73/127.26
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.73/127.26
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.26
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.26
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.26
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.26
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.26
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.26
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.26
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.26
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.26
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.26
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.26
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.26
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.26
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.26
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.26
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.26
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.73/127.26
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.73/127.26
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.73/127.26
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.26
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.26
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.73/127.26
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.73/127.26
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.26
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.26
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.73/127.26
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.73/127.26
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.26
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.26
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.26
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.26
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.73/127.26
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.73/127.26
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.73/127.26
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.73/127.26
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.73/127.26
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.73/127.26
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.73/127.26
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.73/127.26
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.73/127.26
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.73/127.26
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.73/127.26
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.73/127.26
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.73/127.26
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.73/127.26
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.73/127.26
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.73/127.26
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.73/127.26
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.26
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.26
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.26
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.26
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.73/127.26
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.73/127.26
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.73/127.26
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.73/127.26
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.73/127.26
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.26
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.73/127.26
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.73/127.26
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.26
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.26
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.26
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.26
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.26
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.26
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.26
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.26
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.26
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.26
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.26
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.26
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.26
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.26
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.26
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.26
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.73/127.26
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.73/127.26
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.26
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.73/127.26
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.73/127.26
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.73/127.26
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.73/127.26
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.73/127.26
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.26
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.73/127.26
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.26
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.73/127.26
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.26
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.73/127.26
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.73/127.26
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.26
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.73/127.26
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.26
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.26
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.73/127.26
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.73/127.26
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.73/127.26
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.26
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.26
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.26
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.26
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.26
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.26
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.26
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.26
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.26
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.26
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.26
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.26
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.26
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.26
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.26
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.26
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.26
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.73/127.26
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.73/127.26
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.73/127.26
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.73/127.26
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.73/127.26
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.73/127.26
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.26
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.73/127.26
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.26
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.26
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.73/127.26
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.73/127.26
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.73/127.26
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.73/127.26
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.26
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.26
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.26
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.26
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.26
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.26
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.26
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.26
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.26
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.26
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.26
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.26
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.26
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.26
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.26
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.26
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.73/127.26
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.73/127.26
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.26
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.73/127.26
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.73/127.26
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.73/127.26
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.73/127.26
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.73/127.26
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.73/127.26
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.73/127.26
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.73/127.26
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.26
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.73/127.26
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.26
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.73/127.26
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.73/127.26
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.73/127.26
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.26
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.73/127.26
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.26
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.73/127.26
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.73/127.26
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.26
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.73/127.26
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.26
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.26
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.73/127.26
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.73/127.26
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.73/127.26
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.73/127.26
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.73/127.26
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.26
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.26
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.73/127.26
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.26
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.26
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.26
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.26
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.73/127.26
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.26
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.26
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.26
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.26
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.73/127.26
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.73/127.26
PROPER(dbl(01)) → c45(DBL(ok(01)))
419.73/127.26
PROPER(s(dbl(z0))) → c47(S(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.26
PROPER(s(s(z0))) → c47(S(s(proper(z0))), PROPER(s(z0)))
419.73/127.26
PROPER(s(dbls(z0))) → c47(S(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.26
PROPER(s(cons(z0, z1))) → c47(S(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.26
PROPER(s(sel(z0, z1))) → c47(S(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.26
PROPER(s(indx(z0, z1))) → c47(S(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.26
PROPER(s(from(z0))) → c47(S(from(proper(z0))), PROPER(from(z0)))
419.73/127.26
PROPER(s(dbl1(z0))) → c47(S(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.26
PROPER(s(s1(z0))) → c47(S(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.26
PROPER(s(sel1(z0, z1))) → c47(S(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.26
PROPER(s(quote(z0))) → c47(S(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.26
PROPER(s(0)) → c47(S(ok(0)))
419.73/127.26
PROPER(s(nil)) → c47(S(ok(nil)))
419.73/127.26
PROPER(s(01)) → c47(S(ok(01)))
419.73/127.26
PROPER(dbls(dbl(z0))) → c48(DBLS(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.26
PROPER(dbls(s(z0))) → c48(DBLS(s(proper(z0))), PROPER(s(z0)))
419.73/127.26
PROPER(dbls(dbls(z0))) → c48(DBLS(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.26
PROPER(dbls(cons(z0, z1))) → c48(DBLS(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.26
PROPER(dbls(sel(z0, z1))) → c48(DBLS(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.26
PROPER(dbls(indx(z0, z1))) → c48(DBLS(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.26
PROPER(dbls(from(z0))) → c48(DBLS(from(proper(z0))), PROPER(from(z0)))
419.73/127.26
PROPER(dbls(dbl1(z0))) → c48(DBLS(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.26
PROPER(dbls(s1(z0))) → c48(DBLS(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.26
PROPER(dbls(sel1(z0, z1))) → c48(DBLS(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.26
PROPER(dbls(quote(z0))) → c48(DBLS(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.26
PROPER(dbls(0)) → c48(DBLS(ok(0)))
419.73/127.26
PROPER(dbls(nil)) → c48(DBLS(ok(nil)))
419.73/127.26
PROPER(dbls(01)) → c48(DBLS(ok(01)))
419.73/127.26
PROPER(cons(x0, dbl(z0))) → c50(CONS(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.26
PROPER(cons(x0, s(z0))) → c50(CONS(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.26
PROPER(cons(x0, dbls(z0))) → c50(CONS(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.26
PROPER(cons(x0, cons(z0, z1))) → c50(CONS(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.26
PROPER(cons(x0, sel(z0, z1))) → c50(CONS(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.26
PROPER(cons(x0, indx(z0, z1))) → c50(CONS(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.26
PROPER(cons(x0, from(z0))) → c50(CONS(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.26
PROPER(cons(x0, dbl1(z0))) → c50(CONS(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.26
PROPER(cons(x0, s1(z0))) → c50(CONS(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.26
PROPER(cons(x0, sel1(z0, z1))) → c50(CONS(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.26
PROPER(cons(x0, quote(z0))) → c50(CONS(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.26
PROPER(cons(dbl(z0), x1)) → c50(CONS(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.26
PROPER(cons(s(z0), x1)) → c50(CONS(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.26
PROPER(cons(dbls(z0), x1)) → c50(CONS(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.26
PROPER(cons(cons(z0, z1), x1)) → c50(CONS(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.26
PROPER(cons(sel(z0, z1), x1)) → c50(CONS(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.26
PROPER(cons(indx(z0, z1), x1)) → c50(CONS(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.26
PROPER(cons(from(z0), x1)) → c50(CONS(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.26
PROPER(cons(dbl1(z0), x1)) → c50(CONS(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.26
PROPER(cons(s1(z0), x1)) → c50(CONS(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.26
PROPER(cons(sel1(z0, z1), x1)) → c50(CONS(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.26
PROPER(cons(quote(z0), x1)) → c50(CONS(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.26
PROPER(cons(x0, 0)) → c50(CONS(proper(x0), ok(0)), PROPER(x0))
419.73/127.26
PROPER(cons(x0, nil)) → c50(CONS(proper(x0), ok(nil)), PROPER(x0))
419.73/127.26
PROPER(cons(x0, 01)) → c50(CONS(proper(x0), ok(01)), PROPER(x0))
419.73/127.26
PROPER(cons(0, x1)) → c50(CONS(ok(0), proper(x1)), PROPER(x1))
419.73/127.26
PROPER(cons(nil, x1)) → c50(CONS(ok(nil), proper(x1)), PROPER(x1))
419.73/127.26
PROPER(cons(01, x1)) → c50(CONS(ok(01), proper(x1)), PROPER(x1))
419.73/127.26
PROPER(sel(x0, dbl(z0))) → c51(SEL(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.26
PROPER(sel(x0, s(z0))) → c51(SEL(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.26
PROPER(sel(x0, dbls(z0))) → c51(SEL(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.26
PROPER(sel(x0, cons(z0, z1))) → c51(SEL(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.26
PROPER(sel(x0, sel(z0, z1))) → c51(SEL(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.26
PROPER(sel(x0, indx(z0, z1))) → c51(SEL(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.26
PROPER(sel(x0, from(z0))) → c51(SEL(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.26
PROPER(sel(x0, dbl1(z0))) → c51(SEL(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.26
PROPER(sel(x0, s1(z0))) → c51(SEL(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.26
PROPER(sel(x0, sel1(z0, z1))) → c51(SEL(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.26
PROPER(sel(x0, quote(z0))) → c51(SEL(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.26
PROPER(sel(dbl(z0), x1)) → c51(SEL(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.26
PROPER(sel(s(z0), x1)) → c51(SEL(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.26
PROPER(sel(dbls(z0), x1)) → c51(SEL(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.26
PROPER(sel(cons(z0, z1), x1)) → c51(SEL(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.26
PROPER(sel(sel(z0, z1), x1)) → c51(SEL(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.26
PROPER(sel(indx(z0, z1), x1)) → c51(SEL(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.26
PROPER(sel(from(z0), x1)) → c51(SEL(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.26
PROPER(sel(dbl1(z0), x1)) → c51(SEL(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.26
PROPER(sel(s1(z0), x1)) → c51(SEL(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.26
PROPER(sel(sel1(z0, z1), x1)) → c51(SEL(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.26
PROPER(sel(quote(z0), x1)) → c51(SEL(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.26
PROPER(sel(x0, 0)) → c51(SEL(proper(x0), ok(0)), PROPER(x0))
419.73/127.26
PROPER(sel(x0, nil)) → c51(SEL(proper(x0), ok(nil)), PROPER(x0))
419.73/127.26
PROPER(sel(x0, 01)) → c51(SEL(proper(x0), ok(01)), PROPER(x0))
419.73/127.26
PROPER(sel(0, x1)) → c51(SEL(ok(0), proper(x1)), PROPER(x1))
419.73/127.26
PROPER(sel(nil, x1)) → c51(SEL(ok(nil), proper(x1)), PROPER(x1))
419.73/127.26
PROPER(sel(01, x1)) → c51(SEL(ok(01), proper(x1)), PROPER(x1))
419.73/127.26
PROPER(indx(x0, dbl(z0))) → c52(INDX(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.26
PROPER(indx(x0, s(z0))) → c52(INDX(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.26
PROPER(indx(x0, dbls(z0))) → c52(INDX(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.26
PROPER(indx(x0, cons(z0, z1))) → c52(INDX(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.26
PROPER(indx(x0, sel(z0, z1))) → c52(INDX(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.26
PROPER(indx(x0, indx(z0, z1))) → c52(INDX(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.26
PROPER(indx(x0, from(z0))) → c52(INDX(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.26
PROPER(indx(x0, dbl1(z0))) → c52(INDX(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.26
PROPER(indx(x0, s1(z0))) → c52(INDX(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.26
PROPER(indx(x0, sel1(z0, z1))) → c52(INDX(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.26
PROPER(indx(x0, quote(z0))) → c52(INDX(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.26
PROPER(indx(dbl(z0), x1)) → c52(INDX(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.26
PROPER(indx(s(z0), x1)) → c52(INDX(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.26
PROPER(indx(dbls(z0), x1)) → c52(INDX(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.26
PROPER(indx(cons(z0, z1), x1)) → c52(INDX(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.26
PROPER(indx(sel(z0, z1), x1)) → c52(INDX(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.26
PROPER(indx(indx(z0, z1), x1)) → c52(INDX(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.26
PROPER(indx(from(z0), x1)) → c52(INDX(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.26
PROPER(indx(dbl1(z0), x1)) → c52(INDX(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.26
PROPER(indx(s1(z0), x1)) → c52(INDX(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.26
PROPER(indx(sel1(z0, z1), x1)) → c52(INDX(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.26
PROPER(indx(quote(z0), x1)) → c52(INDX(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.26
PROPER(indx(x0, 0)) → c52(INDX(proper(x0), ok(0)), PROPER(x0))
419.73/127.26
PROPER(indx(x0, nil)) → c52(INDX(proper(x0), ok(nil)), PROPER(x0))
419.73/127.26
PROPER(indx(x0, 01)) → c52(INDX(proper(x0), ok(01)), PROPER(x0))
419.73/127.26
PROPER(indx(0, x1)) → c52(INDX(ok(0), proper(x1)), PROPER(x1))
419.73/127.26
PROPER(indx(nil, x1)) → c52(INDX(ok(nil), proper(x1)), PROPER(x1))
419.73/127.26
PROPER(indx(01, x1)) → c52(INDX(ok(01), proper(x1)), PROPER(x1))
419.73/127.26
PROPER(from(dbl(z0))) → c53(FROM(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.26
PROPER(from(s(z0))) → c53(FROM(s(proper(z0))), PROPER(s(z0)))
419.73/127.26
PROPER(from(dbls(z0))) → c53(FROM(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.26
PROPER(from(cons(z0, z1))) → c53(FROM(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.26
PROPER(from(sel(z0, z1))) → c53(FROM(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.26
PROPER(from(indx(z0, z1))) → c53(FROM(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.26
PROPER(from(from(z0))) → c53(FROM(from(proper(z0))), PROPER(from(z0)))
419.73/127.26
PROPER(from(dbl1(z0))) → c53(FROM(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.26
PROPER(from(s1(z0))) → c53(FROM(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.26
PROPER(from(sel1(z0, z1))) → c53(FROM(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.26
PROPER(from(quote(z0))) → c53(FROM(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.26
PROPER(from(0)) → c53(FROM(ok(0)))
419.73/127.26
PROPER(from(nil)) → c53(FROM(ok(nil)))
419.73/127.26
PROPER(from(01)) → c53(FROM(ok(01)))
419.73/127.26
PROPER(dbl1(dbl(z0))) → c54(DBL1(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.26
PROPER(dbl1(s(z0))) → c54(DBL1(s(proper(z0))), PROPER(s(z0)))
419.73/127.26
PROPER(dbl1(dbls(z0))) → c54(DBL1(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.26
PROPER(dbl1(cons(z0, z1))) → c54(DBL1(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.26
PROPER(dbl1(sel(z0, z1))) → c54(DBL1(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.26
PROPER(dbl1(indx(z0, z1))) → c54(DBL1(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.26
PROPER(dbl1(from(z0))) → c54(DBL1(from(proper(z0))), PROPER(from(z0)))
419.73/127.26
PROPER(dbl1(dbl1(z0))) → c54(DBL1(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.26
PROPER(dbl1(s1(z0))) → c54(DBL1(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.26
PROPER(dbl1(sel1(z0, z1))) → c54(DBL1(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.26
PROPER(dbl1(quote(z0))) → c54(DBL1(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.26
PROPER(dbl1(0)) → c54(DBL1(ok(0)))
419.73/127.26
PROPER(dbl1(nil)) → c54(DBL1(ok(nil)))
419.73/127.26
PROPER(dbl1(01)) → c54(DBL1(ok(01)))
419.73/127.26
PROPER(s1(dbl(z0))) → c56(S1(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.26
PROPER(s1(s(z0))) → c56(S1(s(proper(z0))), PROPER(s(z0)))
419.73/127.26
PROPER(s1(dbls(z0))) → c56(S1(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.26
PROPER(s1(cons(z0, z1))) → c56(S1(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.26
PROPER(s1(sel(z0, z1))) → c56(S1(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.26
PROPER(s1(indx(z0, z1))) → c56(S1(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.26
PROPER(s1(from(z0))) → c56(S1(from(proper(z0))), PROPER(from(z0)))
419.73/127.26
PROPER(s1(dbl1(z0))) → c56(S1(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.26
PROPER(s1(s1(z0))) → c56(S1(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.26
PROPER(s1(sel1(z0, z1))) → c56(S1(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.26
PROPER(s1(quote(z0))) → c56(S1(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.26
PROPER(s1(0)) → c56(S1(ok(0)))
419.73/127.26
PROPER(s1(nil)) → c56(S1(ok(nil)))
419.73/127.26
PROPER(s1(01)) → c56(S1(ok(01)))
S tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.73/127.26
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.73/127.26
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.73/127.26
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.73/127.26
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.73/127.26
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.73/127.26
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.73/127.26
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.73/127.26
DBL(mark(z0)) → c27(DBL(z0))
419.73/127.26
DBL(ok(z0)) → c28(DBL(z0))
419.73/127.26
DBLS(mark(z0)) → c29(DBLS(z0))
419.73/127.26
DBLS(ok(z0)) → c30(DBLS(z0))
419.73/127.26
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.73/127.26
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.73/127.26
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.73/127.26
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.73/127.26
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.73/127.26
DBL1(mark(z0)) → c36(DBL1(z0))
419.73/127.26
DBL1(ok(z0)) → c37(DBL1(z0))
419.73/127.26
S1(mark(z0)) → c38(S1(z0))
419.73/127.26
S1(ok(z0)) → c39(S1(z0))
419.73/127.26
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.73/127.26
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.73/127.26
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.73/127.26
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.73/127.26
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.73/127.26
PROPER(sel1(z0, z1)) → c57(SEL1(proper(z0), proper(z1)), PROPER(z0), PROPER(z1))
419.73/127.26
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
419.73/127.26
S(ok(z0)) → c59(S(z0))
419.73/127.26
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.73/127.26
FROM(ok(z0)) → c61(FROM(z0))
419.73/127.26
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
419.73/127.26
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.73/127.26
ACTIVE(from(z0)) → c8(S(z0))
419.73/127.26
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.73/127.26
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.73/127.26
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.73/127.26
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.73/127.26
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.73/127.26
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.73/127.26
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.73/127.26
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.73/127.26
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.73/127.26
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.73/127.26
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.73/127.26
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.73/127.26
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.73/127.26
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.73/127.26
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.26
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.26
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.26
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.26
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.26
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.26
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.26
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.26
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.26
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.26
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.26
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.26
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.26
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.26
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.26
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.26
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.73/127.26
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.73/127.26
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.73/127.26
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.73/127.26
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.73/127.26
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.26
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.26
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.26
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.26
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.26
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.26
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.26
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.26
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.26
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.26
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.26
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.26
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.26
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.26
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.26
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.26
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.73/127.26
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.73/127.26
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.73/127.26
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.26
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.26
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.73/127.26
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.73/127.26
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.26
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.26
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.73/127.26
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.73/127.26
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.26
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.26
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.26
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.26
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.73/127.26
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.73/127.26
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.73/127.26
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.73/127.26
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.73/127.26
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.73/127.26
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.73/127.26
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.73/127.26
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.73/127.26
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.73/127.26
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.73/127.26
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.73/127.26
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.73/127.26
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.73/127.26
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.73/127.26
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.73/127.26
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.73/127.26
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.26
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.26
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.26
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.26
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.73/127.26
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.73/127.26
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.73/127.26
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.73/127.26
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.73/127.26
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.26
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.73/127.26
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.73/127.26
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.26
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.26
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.26
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.26
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.26
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.26
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.26
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.26
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.26
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.26
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.26
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.26
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.26
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.26
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.26
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.26
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.73/127.26
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.73/127.26
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.26
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.73/127.26
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.73/127.26
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.73/127.26
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.73/127.26
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.73/127.26
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.26
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.73/127.26
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.26
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.73/127.26
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.26
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.73/127.26
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.73/127.26
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.26
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.73/127.26
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.26
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.26
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.73/127.26
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.73/127.26
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.73/127.26
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.26
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.26
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.26
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.26
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.26
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.26
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.26
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.26
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.26
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.26
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.26
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.26
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.26
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.26
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.26
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.26
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.26
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.73/127.26
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.73/127.26
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.73/127.26
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.73/127.26
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.73/127.26
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.73/127.26
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.26
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.73/127.26
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.26
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.26
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.73/127.26
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.73/127.26
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.73/127.26
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.73/127.26
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.26
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.26
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.26
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.26
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.26
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.26
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.26
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.26
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.26
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.26
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.26
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.26
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.26
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.26
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.26
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.26
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.73/127.26
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.73/127.26
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.26
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.73/127.26
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.73/127.26
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.73/127.26
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.73/127.26
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.73/127.26
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.73/127.26
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.73/127.26
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.73/127.26
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.26
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.73/127.26
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.26
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.73/127.26
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.73/127.26
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.73/127.26
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.26
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.73/127.26
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.26
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.73/127.26
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.73/127.26
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.26
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.73/127.26
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.26
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.26
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.73/127.26
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.73/127.26
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.73/127.26
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.73/127.26
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.73/127.26
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.26
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.26
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.73/127.26
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.26
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.26
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.26
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.26
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.73/127.26
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.26
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.26
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.26
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.26
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.73/127.26
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.73/127.26
PROPER(dbl(01)) → c45(DBL(ok(01)))
419.73/127.26
PROPER(s(dbl(z0))) → c47(S(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.26
PROPER(s(s(z0))) → c47(S(s(proper(z0))), PROPER(s(z0)))
419.73/127.26
PROPER(s(dbls(z0))) → c47(S(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.26
PROPER(s(cons(z0, z1))) → c47(S(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.26
PROPER(s(sel(z0, z1))) → c47(S(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.26
PROPER(s(indx(z0, z1))) → c47(S(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.26
PROPER(s(from(z0))) → c47(S(from(proper(z0))), PROPER(from(z0)))
419.73/127.26
PROPER(s(dbl1(z0))) → c47(S(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.26
PROPER(s(s1(z0))) → c47(S(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.26
PROPER(s(sel1(z0, z1))) → c47(S(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.26
PROPER(s(quote(z0))) → c47(S(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.26
PROPER(s(0)) → c47(S(ok(0)))
419.73/127.26
PROPER(s(nil)) → c47(S(ok(nil)))
419.73/127.26
PROPER(s(01)) → c47(S(ok(01)))
419.73/127.26
PROPER(dbls(dbl(z0))) → c48(DBLS(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.26
PROPER(dbls(s(z0))) → c48(DBLS(s(proper(z0))), PROPER(s(z0)))
419.73/127.26
PROPER(dbls(dbls(z0))) → c48(DBLS(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.26
PROPER(dbls(cons(z0, z1))) → c48(DBLS(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.26
PROPER(dbls(sel(z0, z1))) → c48(DBLS(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.26
PROPER(dbls(indx(z0, z1))) → c48(DBLS(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.26
PROPER(dbls(from(z0))) → c48(DBLS(from(proper(z0))), PROPER(from(z0)))
419.73/127.26
PROPER(dbls(dbl1(z0))) → c48(DBLS(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.26
PROPER(dbls(s1(z0))) → c48(DBLS(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.26
PROPER(dbls(sel1(z0, z1))) → c48(DBLS(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.26
PROPER(dbls(quote(z0))) → c48(DBLS(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.26
PROPER(dbls(0)) → c48(DBLS(ok(0)))
419.73/127.26
PROPER(dbls(nil)) → c48(DBLS(ok(nil)))
419.73/127.26
PROPER(dbls(01)) → c48(DBLS(ok(01)))
419.73/127.26
PROPER(cons(x0, dbl(z0))) → c50(CONS(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.26
PROPER(cons(x0, s(z0))) → c50(CONS(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.26
PROPER(cons(x0, dbls(z0))) → c50(CONS(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.26
PROPER(cons(x0, cons(z0, z1))) → c50(CONS(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.26
PROPER(cons(x0, sel(z0, z1))) → c50(CONS(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.26
PROPER(cons(x0, indx(z0, z1))) → c50(CONS(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.26
PROPER(cons(x0, from(z0))) → c50(CONS(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.26
PROPER(cons(x0, dbl1(z0))) → c50(CONS(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.26
PROPER(cons(x0, s1(z0))) → c50(CONS(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.26
PROPER(cons(x0, sel1(z0, z1))) → c50(CONS(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.26
PROPER(cons(x0, quote(z0))) → c50(CONS(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.26
PROPER(cons(dbl(z0), x1)) → c50(CONS(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.26
PROPER(cons(s(z0), x1)) → c50(CONS(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.26
PROPER(cons(dbls(z0), x1)) → c50(CONS(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.26
PROPER(cons(cons(z0, z1), x1)) → c50(CONS(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.26
PROPER(cons(sel(z0, z1), x1)) → c50(CONS(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.26
PROPER(cons(indx(z0, z1), x1)) → c50(CONS(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.26
PROPER(cons(from(z0), x1)) → c50(CONS(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.26
PROPER(cons(dbl1(z0), x1)) → c50(CONS(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.26
PROPER(cons(s1(z0), x1)) → c50(CONS(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.26
PROPER(cons(sel1(z0, z1), x1)) → c50(CONS(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.26
PROPER(cons(quote(z0), x1)) → c50(CONS(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.26
PROPER(cons(x0, 0)) → c50(CONS(proper(x0), ok(0)), PROPER(x0))
419.73/127.26
PROPER(cons(x0, nil)) → c50(CONS(proper(x0), ok(nil)), PROPER(x0))
419.73/127.26
PROPER(cons(x0, 01)) → c50(CONS(proper(x0), ok(01)), PROPER(x0))
419.73/127.26
PROPER(cons(0, x1)) → c50(CONS(ok(0), proper(x1)), PROPER(x1))
419.73/127.26
PROPER(cons(nil, x1)) → c50(CONS(ok(nil), proper(x1)), PROPER(x1))
419.73/127.26
PROPER(cons(01, x1)) → c50(CONS(ok(01), proper(x1)), PROPER(x1))
419.73/127.26
PROPER(sel(x0, dbl(z0))) → c51(SEL(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.26
PROPER(sel(x0, s(z0))) → c51(SEL(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.26
PROPER(sel(x0, dbls(z0))) → c51(SEL(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.26
PROPER(sel(x0, cons(z0, z1))) → c51(SEL(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.26
PROPER(sel(x0, sel(z0, z1))) → c51(SEL(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.26
PROPER(sel(x0, indx(z0, z1))) → c51(SEL(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.26
PROPER(sel(x0, from(z0))) → c51(SEL(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.26
PROPER(sel(x0, dbl1(z0))) → c51(SEL(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.26
PROPER(sel(x0, s1(z0))) → c51(SEL(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.26
PROPER(sel(x0, sel1(z0, z1))) → c51(SEL(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.26
PROPER(sel(x0, quote(z0))) → c51(SEL(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.26
PROPER(sel(dbl(z0), x1)) → c51(SEL(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.26
PROPER(sel(s(z0), x1)) → c51(SEL(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.26
PROPER(sel(dbls(z0), x1)) → c51(SEL(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.26
PROPER(sel(cons(z0, z1), x1)) → c51(SEL(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.26
PROPER(sel(sel(z0, z1), x1)) → c51(SEL(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.26
PROPER(sel(indx(z0, z1), x1)) → c51(SEL(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.26
PROPER(sel(from(z0), x1)) → c51(SEL(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.26
PROPER(sel(dbl1(z0), x1)) → c51(SEL(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.26
PROPER(sel(s1(z0), x1)) → c51(SEL(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.26
PROPER(sel(sel1(z0, z1), x1)) → c51(SEL(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.26
PROPER(sel(quote(z0), x1)) → c51(SEL(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.26
PROPER(sel(x0, 0)) → c51(SEL(proper(x0), ok(0)), PROPER(x0))
419.73/127.26
PROPER(sel(x0, nil)) → c51(SEL(proper(x0), ok(nil)), PROPER(x0))
419.73/127.26
PROPER(sel(x0, 01)) → c51(SEL(proper(x0), ok(01)), PROPER(x0))
419.73/127.26
PROPER(sel(0, x1)) → c51(SEL(ok(0), proper(x1)), PROPER(x1))
419.73/127.26
PROPER(sel(nil, x1)) → c51(SEL(ok(nil), proper(x1)), PROPER(x1))
419.73/127.26
PROPER(sel(01, x1)) → c51(SEL(ok(01), proper(x1)), PROPER(x1))
419.73/127.26
PROPER(indx(x0, dbl(z0))) → c52(INDX(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.26
PROPER(indx(x0, s(z0))) → c52(INDX(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.26
PROPER(indx(x0, dbls(z0))) → c52(INDX(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.26
PROPER(indx(x0, cons(z0, z1))) → c52(INDX(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.26
PROPER(indx(x0, sel(z0, z1))) → c52(INDX(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.26
PROPER(indx(x0, indx(z0, z1))) → c52(INDX(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.26
PROPER(indx(x0, from(z0))) → c52(INDX(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.26
PROPER(indx(x0, dbl1(z0))) → c52(INDX(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.26
PROPER(indx(x0, s1(z0))) → c52(INDX(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.26
PROPER(indx(x0, sel1(z0, z1))) → c52(INDX(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.26
PROPER(indx(x0, quote(z0))) → c52(INDX(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.26
PROPER(indx(dbl(z0), x1)) → c52(INDX(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.26
PROPER(indx(s(z0), x1)) → c52(INDX(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.26
PROPER(indx(dbls(z0), x1)) → c52(INDX(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.26
PROPER(indx(cons(z0, z1), x1)) → c52(INDX(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.26
PROPER(indx(sel(z0, z1), x1)) → c52(INDX(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.26
PROPER(indx(indx(z0, z1), x1)) → c52(INDX(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.26
PROPER(indx(from(z0), x1)) → c52(INDX(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.26
PROPER(indx(dbl1(z0), x1)) → c52(INDX(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.26
PROPER(indx(s1(z0), x1)) → c52(INDX(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.26
PROPER(indx(sel1(z0, z1), x1)) → c52(INDX(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.26
PROPER(indx(quote(z0), x1)) → c52(INDX(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.26
PROPER(indx(x0, 0)) → c52(INDX(proper(x0), ok(0)), PROPER(x0))
419.73/127.26
PROPER(indx(x0, nil)) → c52(INDX(proper(x0), ok(nil)), PROPER(x0))
419.73/127.26
PROPER(indx(x0, 01)) → c52(INDX(proper(x0), ok(01)), PROPER(x0))
419.73/127.26
PROPER(indx(0, x1)) → c52(INDX(ok(0), proper(x1)), PROPER(x1))
419.73/127.26
PROPER(indx(nil, x1)) → c52(INDX(ok(nil), proper(x1)), PROPER(x1))
419.73/127.26
PROPER(indx(01, x1)) → c52(INDX(ok(01), proper(x1)), PROPER(x1))
419.73/127.26
PROPER(from(dbl(z0))) → c53(FROM(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.26
PROPER(from(s(z0))) → c53(FROM(s(proper(z0))), PROPER(s(z0)))
419.73/127.26
PROPER(from(dbls(z0))) → c53(FROM(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.26
PROPER(from(cons(z0, z1))) → c53(FROM(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.26
PROPER(from(sel(z0, z1))) → c53(FROM(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.26
PROPER(from(indx(z0, z1))) → c53(FROM(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.26
PROPER(from(from(z0))) → c53(FROM(from(proper(z0))), PROPER(from(z0)))
419.73/127.26
PROPER(from(dbl1(z0))) → c53(FROM(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.26
PROPER(from(s1(z0))) → c53(FROM(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.26
PROPER(from(sel1(z0, z1))) → c53(FROM(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.26
PROPER(from(quote(z0))) → c53(FROM(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.26
PROPER(from(0)) → c53(FROM(ok(0)))
419.73/127.26
PROPER(from(nil)) → c53(FROM(ok(nil)))
419.73/127.26
PROPER(from(01)) → c53(FROM(ok(01)))
419.73/127.26
PROPER(dbl1(dbl(z0))) → c54(DBL1(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.26
PROPER(dbl1(s(z0))) → c54(DBL1(s(proper(z0))), PROPER(s(z0)))
419.73/127.26
PROPER(dbl1(dbls(z0))) → c54(DBL1(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.26
PROPER(dbl1(cons(z0, z1))) → c54(DBL1(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.26
PROPER(dbl1(sel(z0, z1))) → c54(DBL1(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.26
PROPER(dbl1(indx(z0, z1))) → c54(DBL1(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.26
PROPER(dbl1(from(z0))) → c54(DBL1(from(proper(z0))), PROPER(from(z0)))
419.73/127.26
PROPER(dbl1(dbl1(z0))) → c54(DBL1(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.26
PROPER(dbl1(s1(z0))) → c54(DBL1(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.26
PROPER(dbl1(sel1(z0, z1))) → c54(DBL1(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.26
PROPER(dbl1(quote(z0))) → c54(DBL1(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.26
PROPER(dbl1(0)) → c54(DBL1(ok(0)))
419.73/127.26
PROPER(dbl1(nil)) → c54(DBL1(ok(nil)))
419.73/127.26
PROPER(dbl1(01)) → c54(DBL1(ok(01)))
419.73/127.26
PROPER(s1(dbl(z0))) → c56(S1(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.26
PROPER(s1(s(z0))) → c56(S1(s(proper(z0))), PROPER(s(z0)))
419.73/127.26
PROPER(s1(dbls(z0))) → c56(S1(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.26
PROPER(s1(cons(z0, z1))) → c56(S1(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.26
PROPER(s1(sel(z0, z1))) → c56(S1(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.26
PROPER(s1(indx(z0, z1))) → c56(S1(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.26
PROPER(s1(from(z0))) → c56(S1(from(proper(z0))), PROPER(from(z0)))
419.73/127.26
PROPER(s1(dbl1(z0))) → c56(S1(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.26
PROPER(s1(s1(z0))) → c56(S1(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.26
PROPER(s1(sel1(z0, z1))) → c56(S1(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.26
PROPER(s1(quote(z0))) → c56(S1(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.26
PROPER(s1(0)) → c56(S1(ok(0)))
419.73/127.26
PROPER(s1(nil)) → c56(S1(ok(nil)))
419.73/127.26
PROPER(s1(01)) → c56(S1(ok(01)))
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
ACTIVE, DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, PROPER, S, CONS, FROM, TOP
Compound Symbols:
c5, c12, c15, c16, c19, c20, c24, c25, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c57, c58, c59, c60, c61, c62, c63, c8, c, c17, c17, c1, c18, c18, c2, c21, c21, c3, c22, c22, c4, c23, c23, c6, c26, c26, c7, c45, c45, c47, c47, c48, c48, c50, c50, c51, c51, c52, c52, c53, c53, c54, c54, c56, c56
419.73/127.26
419.73/127.26
(79) CdtNarrowingProof (BOTH BOUNDS(ID, ID) transformation)
Use narrowing to replace
PROPER(
sel1(
z0,
z1)) →
c57(
SEL1(
proper(
z0),
proper(
z1)),
PROPER(
z0),
PROPER(
z1)) by
PROPER(sel1(x0, dbl(z0))) → c57(SEL1(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.26
PROPER(sel1(x0, 0)) → c57(SEL1(proper(x0), ok(0)), PROPER(x0), PROPER(0))
419.73/127.26
PROPER(sel1(x0, s(z0))) → c57(SEL1(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.26
PROPER(sel1(x0, dbls(z0))) → c57(SEL1(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.26
PROPER(sel1(x0, nil)) → c57(SEL1(proper(x0), ok(nil)), PROPER(x0), PROPER(nil))
419.73/127.26
PROPER(sel1(x0, cons(z0, z1))) → c57(SEL1(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.26
PROPER(sel1(x0, sel(z0, z1))) → c57(SEL1(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.26
PROPER(sel1(x0, indx(z0, z1))) → c57(SEL1(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.26
PROPER(sel1(x0, from(z0))) → c57(SEL1(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.26
PROPER(sel1(x0, dbl1(z0))) → c57(SEL1(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.26
PROPER(sel1(x0, 01)) → c57(SEL1(proper(x0), ok(01)), PROPER(x0), PROPER(01))
419.73/127.26
PROPER(sel1(x0, s1(z0))) → c57(SEL1(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.26
PROPER(sel1(x0, sel1(z0, z1))) → c57(SEL1(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.26
PROPER(sel1(x0, quote(z0))) → c57(SEL1(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.26
PROPER(sel1(dbl(z0), x1)) → c57(SEL1(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.26
PROPER(sel1(0, x1)) → c57(SEL1(ok(0), proper(x1)), PROPER(0), PROPER(x1))
419.73/127.26
PROPER(sel1(s(z0), x1)) → c57(SEL1(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.26
PROPER(sel1(dbls(z0), x1)) → c57(SEL1(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.26
PROPER(sel1(nil, x1)) → c57(SEL1(ok(nil), proper(x1)), PROPER(nil), PROPER(x1))
419.73/127.26
PROPER(sel1(cons(z0, z1), x1)) → c57(SEL1(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.26
PROPER(sel1(sel(z0, z1), x1)) → c57(SEL1(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.26
PROPER(sel1(indx(z0, z1), x1)) → c57(SEL1(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.26
PROPER(sel1(from(z0), x1)) → c57(SEL1(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.26
PROPER(sel1(dbl1(z0), x1)) → c57(SEL1(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.26
PROPER(sel1(01, x1)) → c57(SEL1(ok(01), proper(x1)), PROPER(01), PROPER(x1))
419.73/127.26
PROPER(sel1(s1(z0), x1)) → c57(SEL1(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.26
PROPER(sel1(sel1(z0, z1), x1)) → c57(SEL1(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.26
PROPER(sel1(quote(z0), x1)) → c57(SEL1(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.26
419.73/127.26
(80) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
419.73/127.26
active(dbl(s(z0))) → mark(s(s(dbl(z0))))
419.73/127.26
active(dbls(nil)) → mark(nil)
419.73/127.26
active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
419.73/127.26
active(sel(0, cons(z0, z1))) → mark(z0)
419.73/127.26
active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
419.73/127.26
active(indx(nil, z0)) → mark(nil)
419.73/127.26
active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
419.73/127.26
active(from(z0)) → mark(cons(z0, from(s(z0))))
419.73/127.26
active(dbl1(0)) → mark(01)
419.73/127.26
active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
419.73/127.26
active(sel1(0, cons(z0, z1))) → mark(z0)
419.73/127.26
active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
419.73/127.26
active(quote(0)) → mark(01)
419.73/127.26
active(quote(s(z0))) → mark(s1(quote(z0)))
419.73/127.26
active(quote(dbl(z0))) → mark(dbl1(z0))
419.73/127.26
active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
419.73/127.26
active(dbl(z0)) → dbl(active(z0))
419.73/127.26
active(dbls(z0)) → dbls(active(z0))
419.73/127.26
active(sel(z0, z1)) → sel(active(z0), z1)
419.73/127.26
active(sel(z0, z1)) → sel(z0, active(z1))
419.73/127.26
active(indx(z0, z1)) → indx(active(z0), z1)
419.73/127.26
active(dbl1(z0)) → dbl1(active(z0))
419.73/127.26
active(s1(z0)) → s1(active(z0))
419.73/127.26
active(sel1(z0, z1)) → sel1(active(z0), z1)
419.73/127.26
active(sel1(z0, z1)) → sel1(z0, active(z1))
419.73/127.26
active(quote(z0)) → quote(active(z0))
419.73/127.26
dbl(mark(z0)) → mark(dbl(z0))
419.73/127.26
dbl(ok(z0)) → ok(dbl(z0))
419.73/127.26
dbls(mark(z0)) → mark(dbls(z0))
419.73/127.26
dbls(ok(z0)) → ok(dbls(z0))
419.73/127.26
sel(mark(z0), z1) → mark(sel(z0, z1))
419.73/127.26
sel(z0, mark(z1)) → mark(sel(z0, z1))
419.73/127.26
sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
419.73/127.26
indx(mark(z0), z1) → mark(indx(z0, z1))
419.73/127.26
indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
419.73/127.26
dbl1(mark(z0)) → mark(dbl1(z0))
419.73/127.26
dbl1(ok(z0)) → ok(dbl1(z0))
419.73/127.26
s1(mark(z0)) → mark(s1(z0))
419.73/127.26
s1(ok(z0)) → ok(s1(z0))
419.73/127.26
sel1(mark(z0), z1) → mark(sel1(z0, z1))
419.73/127.26
sel1(z0, mark(z1)) → mark(sel1(z0, z1))
419.73/127.26
sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
419.73/127.26
quote(mark(z0)) → mark(quote(z0))
419.73/127.26
quote(ok(z0)) → ok(quote(z0))
419.73/127.26
proper(dbl(z0)) → dbl(proper(z0))
419.73/127.26
proper(0) → ok(0)
419.73/127.26
proper(s(z0)) → s(proper(z0))
419.73/127.26
proper(dbls(z0)) → dbls(proper(z0))
419.73/127.26
proper(nil) → ok(nil)
419.73/127.26
proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
419.73/127.26
proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
419.73/127.26
proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
419.73/127.26
proper(from(z0)) → from(proper(z0))
419.73/127.26
proper(dbl1(z0)) → dbl1(proper(z0))
419.73/127.26
proper(01) → ok(01)
419.73/127.26
proper(s1(z0)) → s1(proper(z0))
419.73/127.26
proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
419.73/127.26
proper(quote(z0)) → quote(proper(z0))
419.73/127.26
s(ok(z0)) → ok(s(z0))
419.73/127.26
cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
419.73/127.26
from(ok(z0)) → ok(from(z0))
419.73/127.26
top(mark(z0)) → top(proper(z0))
419.73/127.26
top(ok(z0)) → top(active(z0))
Tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.73/127.26
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.73/127.26
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.73/127.26
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.73/127.26
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.73/127.26
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.73/127.26
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.73/127.26
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.73/127.26
DBL(mark(z0)) → c27(DBL(z0))
419.73/127.26
DBL(ok(z0)) → c28(DBL(z0))
419.73/127.26
DBLS(mark(z0)) → c29(DBLS(z0))
419.73/127.26
DBLS(ok(z0)) → c30(DBLS(z0))
419.73/127.26
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.73/127.26
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.73/127.26
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.73/127.26
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.73/127.26
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.73/127.26
DBL1(mark(z0)) → c36(DBL1(z0))
419.73/127.26
DBL1(ok(z0)) → c37(DBL1(z0))
419.73/127.26
S1(mark(z0)) → c38(S1(z0))
419.73/127.26
S1(ok(z0)) → c39(S1(z0))
419.73/127.26
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.73/127.26
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.73/127.26
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.73/127.26
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.73/127.26
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.73/127.26
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
419.73/127.26
S(ok(z0)) → c59(S(z0))
419.73/127.26
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.73/127.26
FROM(ok(z0)) → c61(FROM(z0))
419.73/127.26
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
419.73/127.26
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.73/127.26
ACTIVE(from(z0)) → c8(S(z0))
419.73/127.26
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.73/127.26
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.73/127.26
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.73/127.26
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.73/127.26
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.73/127.26
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.73/127.26
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.73/127.26
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.73/127.26
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.73/127.26
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.73/127.26
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.73/127.26
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.73/127.26
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.73/127.26
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.73/127.26
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.26
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.26
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.26
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.26
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.26
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.26
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.26
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.26
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.26
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.26
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.26
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.26
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.26
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.26
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.26
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.26
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.73/127.26
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.73/127.26
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.73/127.26
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.73/127.26
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.73/127.26
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.26
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.26
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.26
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.26
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.26
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.26
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.26
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.26
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.26
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.26
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.26
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.26
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.26
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.26
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.26
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.26
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.73/127.26
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.73/127.26
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.73/127.26
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.26
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.26
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.73/127.26
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.73/127.26
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.26
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.26
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.73/127.26
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.73/127.26
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.26
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.26
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.26
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.26
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.73/127.26
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.73/127.26
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.73/127.27
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.73/127.27
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.73/127.27
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.73/127.27
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.73/127.27
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.73/127.27
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.73/127.27
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.73/127.27
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.73/127.27
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.73/127.27
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.73/127.27
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.73/127.27
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.73/127.27
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.73/127.27
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.73/127.27
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.27
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.27
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.27
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.27
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.73/127.27
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.73/127.27
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.73/127.27
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.73/127.27
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.73/127.27
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.27
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.73/127.27
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.73/127.27
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.27
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.27
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.27
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.27
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.27
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.27
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.27
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.27
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.27
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.27
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.27
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.27
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.27
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.27
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.27
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.27
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.73/127.27
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.73/127.27
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.27
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.73/127.27
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.73/127.27
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.73/127.27
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.73/127.27
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.73/127.27
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.27
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.73/127.27
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.27
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.73/127.27
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.27
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.73/127.27
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.73/127.27
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.27
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.73/127.27
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.27
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.27
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.73/127.27
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.73/127.27
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.73/127.27
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.27
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.27
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.27
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.27
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.27
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.27
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.27
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.27
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.27
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.27
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.27
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.27
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.27
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.27
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.27
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.27
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.27
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.73/127.27
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.73/127.27
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.73/127.27
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.73/127.27
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.73/127.27
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.73/127.27
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.27
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.73/127.27
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.27
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.27
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.73/127.27
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.73/127.27
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.73/127.27
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.73/127.27
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.27
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.27
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.27
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.27
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.27
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.27
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.27
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.27
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.27
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.27
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.27
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.27
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.27
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.27
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.27
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.27
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.73/127.27
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.73/127.27
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.27
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.73/127.27
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.73/127.27
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.73/127.27
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.73/127.27
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.73/127.27
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.73/127.27
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.73/127.27
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.73/127.27
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.27
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.73/127.27
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.27
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.73/127.27
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.73/127.27
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.73/127.27
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.27
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.73/127.27
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.27
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.73/127.27
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.73/127.27
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.27
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.73/127.27
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.27
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.27
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.73/127.27
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.73/127.27
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.73/127.27
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.73/127.27
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.73/127.27
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.27
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.27
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.73/127.27
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.27
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.27
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.27
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.27
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.73/127.27
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.27
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.27
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.27
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.27
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.73/127.27
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.73/127.27
PROPER(dbl(01)) → c45(DBL(ok(01)))
419.73/127.27
PROPER(s(dbl(z0))) → c47(S(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.27
PROPER(s(s(z0))) → c47(S(s(proper(z0))), PROPER(s(z0)))
419.73/127.27
PROPER(s(dbls(z0))) → c47(S(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.27
PROPER(s(cons(z0, z1))) → c47(S(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.27
PROPER(s(sel(z0, z1))) → c47(S(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.27
PROPER(s(indx(z0, z1))) → c47(S(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.27
PROPER(s(from(z0))) → c47(S(from(proper(z0))), PROPER(from(z0)))
419.73/127.27
PROPER(s(dbl1(z0))) → c47(S(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.27
PROPER(s(s1(z0))) → c47(S(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.27
PROPER(s(sel1(z0, z1))) → c47(S(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.27
PROPER(s(quote(z0))) → c47(S(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.27
PROPER(s(0)) → c47(S(ok(0)))
419.73/127.27
PROPER(s(nil)) → c47(S(ok(nil)))
419.73/127.27
PROPER(s(01)) → c47(S(ok(01)))
419.73/127.27
PROPER(dbls(dbl(z0))) → c48(DBLS(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.27
PROPER(dbls(s(z0))) → c48(DBLS(s(proper(z0))), PROPER(s(z0)))
419.73/127.27
PROPER(dbls(dbls(z0))) → c48(DBLS(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.27
PROPER(dbls(cons(z0, z1))) → c48(DBLS(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.27
PROPER(dbls(sel(z0, z1))) → c48(DBLS(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.27
PROPER(dbls(indx(z0, z1))) → c48(DBLS(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.27
PROPER(dbls(from(z0))) → c48(DBLS(from(proper(z0))), PROPER(from(z0)))
419.73/127.27
PROPER(dbls(dbl1(z0))) → c48(DBLS(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.27
PROPER(dbls(s1(z0))) → c48(DBLS(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.27
PROPER(dbls(sel1(z0, z1))) → c48(DBLS(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.27
PROPER(dbls(quote(z0))) → c48(DBLS(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.27
PROPER(dbls(0)) → c48(DBLS(ok(0)))
419.73/127.27
PROPER(dbls(nil)) → c48(DBLS(ok(nil)))
419.73/127.27
PROPER(dbls(01)) → c48(DBLS(ok(01)))
419.73/127.27
PROPER(cons(x0, dbl(z0))) → c50(CONS(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.27
PROPER(cons(x0, s(z0))) → c50(CONS(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.27
PROPER(cons(x0, dbls(z0))) → c50(CONS(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.27
PROPER(cons(x0, cons(z0, z1))) → c50(CONS(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.27
PROPER(cons(x0, sel(z0, z1))) → c50(CONS(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.27
PROPER(cons(x0, indx(z0, z1))) → c50(CONS(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.27
PROPER(cons(x0, from(z0))) → c50(CONS(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.27
PROPER(cons(x0, dbl1(z0))) → c50(CONS(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.27
PROPER(cons(x0, s1(z0))) → c50(CONS(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.27
PROPER(cons(x0, sel1(z0, z1))) → c50(CONS(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.27
PROPER(cons(x0, quote(z0))) → c50(CONS(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.27
PROPER(cons(dbl(z0), x1)) → c50(CONS(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.27
PROPER(cons(s(z0), x1)) → c50(CONS(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.27
PROPER(cons(dbls(z0), x1)) → c50(CONS(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.27
PROPER(cons(cons(z0, z1), x1)) → c50(CONS(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.27
PROPER(cons(sel(z0, z1), x1)) → c50(CONS(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.27
PROPER(cons(indx(z0, z1), x1)) → c50(CONS(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.27
PROPER(cons(from(z0), x1)) → c50(CONS(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.27
PROPER(cons(dbl1(z0), x1)) → c50(CONS(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.27
PROPER(cons(s1(z0), x1)) → c50(CONS(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.27
PROPER(cons(sel1(z0, z1), x1)) → c50(CONS(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.27
PROPER(cons(quote(z0), x1)) → c50(CONS(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.27
PROPER(cons(x0, 0)) → c50(CONS(proper(x0), ok(0)), PROPER(x0))
419.73/127.27
PROPER(cons(x0, nil)) → c50(CONS(proper(x0), ok(nil)), PROPER(x0))
419.73/127.27
PROPER(cons(x0, 01)) → c50(CONS(proper(x0), ok(01)), PROPER(x0))
419.73/127.27
PROPER(cons(0, x1)) → c50(CONS(ok(0), proper(x1)), PROPER(x1))
419.73/127.27
PROPER(cons(nil, x1)) → c50(CONS(ok(nil), proper(x1)), PROPER(x1))
419.73/127.27
PROPER(cons(01, x1)) → c50(CONS(ok(01), proper(x1)), PROPER(x1))
419.73/127.27
PROPER(sel(x0, dbl(z0))) → c51(SEL(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.27
PROPER(sel(x0, s(z0))) → c51(SEL(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.27
PROPER(sel(x0, dbls(z0))) → c51(SEL(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.27
PROPER(sel(x0, cons(z0, z1))) → c51(SEL(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.27
PROPER(sel(x0, sel(z0, z1))) → c51(SEL(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.27
PROPER(sel(x0, indx(z0, z1))) → c51(SEL(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.27
PROPER(sel(x0, from(z0))) → c51(SEL(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.27
PROPER(sel(x0, dbl1(z0))) → c51(SEL(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.27
PROPER(sel(x0, s1(z0))) → c51(SEL(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.27
PROPER(sel(x0, sel1(z0, z1))) → c51(SEL(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.27
PROPER(sel(x0, quote(z0))) → c51(SEL(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.27
PROPER(sel(dbl(z0), x1)) → c51(SEL(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.27
PROPER(sel(s(z0), x1)) → c51(SEL(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.27
PROPER(sel(dbls(z0), x1)) → c51(SEL(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.27
PROPER(sel(cons(z0, z1), x1)) → c51(SEL(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.27
PROPER(sel(sel(z0, z1), x1)) → c51(SEL(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.27
PROPER(sel(indx(z0, z1), x1)) → c51(SEL(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.27
PROPER(sel(from(z0), x1)) → c51(SEL(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.27
PROPER(sel(dbl1(z0), x1)) → c51(SEL(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.27
PROPER(sel(s1(z0), x1)) → c51(SEL(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.27
PROPER(sel(sel1(z0, z1), x1)) → c51(SEL(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.27
PROPER(sel(quote(z0), x1)) → c51(SEL(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.27
PROPER(sel(x0, 0)) → c51(SEL(proper(x0), ok(0)), PROPER(x0))
419.73/127.27
PROPER(sel(x0, nil)) → c51(SEL(proper(x0), ok(nil)), PROPER(x0))
419.73/127.27
PROPER(sel(x0, 01)) → c51(SEL(proper(x0), ok(01)), PROPER(x0))
419.73/127.27
PROPER(sel(0, x1)) → c51(SEL(ok(0), proper(x1)), PROPER(x1))
419.73/127.27
PROPER(sel(nil, x1)) → c51(SEL(ok(nil), proper(x1)), PROPER(x1))
419.73/127.27
PROPER(sel(01, x1)) → c51(SEL(ok(01), proper(x1)), PROPER(x1))
419.73/127.27
PROPER(indx(x0, dbl(z0))) → c52(INDX(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.27
PROPER(indx(x0, s(z0))) → c52(INDX(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.27
PROPER(indx(x0, dbls(z0))) → c52(INDX(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.27
PROPER(indx(x0, cons(z0, z1))) → c52(INDX(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.27
PROPER(indx(x0, sel(z0, z1))) → c52(INDX(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.27
PROPER(indx(x0, indx(z0, z1))) → c52(INDX(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.27
PROPER(indx(x0, from(z0))) → c52(INDX(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.27
PROPER(indx(x0, dbl1(z0))) → c52(INDX(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.27
PROPER(indx(x0, s1(z0))) → c52(INDX(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.27
PROPER(indx(x0, sel1(z0, z1))) → c52(INDX(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.27
PROPER(indx(x0, quote(z0))) → c52(INDX(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.27
PROPER(indx(dbl(z0), x1)) → c52(INDX(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.27
PROPER(indx(s(z0), x1)) → c52(INDX(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.27
PROPER(indx(dbls(z0), x1)) → c52(INDX(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.27
PROPER(indx(cons(z0, z1), x1)) → c52(INDX(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.27
PROPER(indx(sel(z0, z1), x1)) → c52(INDX(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.27
PROPER(indx(indx(z0, z1), x1)) → c52(INDX(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.27
PROPER(indx(from(z0), x1)) → c52(INDX(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.27
PROPER(indx(dbl1(z0), x1)) → c52(INDX(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.27
PROPER(indx(s1(z0), x1)) → c52(INDX(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.27
PROPER(indx(sel1(z0, z1), x1)) → c52(INDX(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.27
PROPER(indx(quote(z0), x1)) → c52(INDX(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.27
PROPER(indx(x0, 0)) → c52(INDX(proper(x0), ok(0)), PROPER(x0))
419.73/127.27
PROPER(indx(x0, nil)) → c52(INDX(proper(x0), ok(nil)), PROPER(x0))
419.73/127.27
PROPER(indx(x0, 01)) → c52(INDX(proper(x0), ok(01)), PROPER(x0))
419.73/127.27
PROPER(indx(0, x1)) → c52(INDX(ok(0), proper(x1)), PROPER(x1))
419.73/127.27
PROPER(indx(nil, x1)) → c52(INDX(ok(nil), proper(x1)), PROPER(x1))
419.73/127.27
PROPER(indx(01, x1)) → c52(INDX(ok(01), proper(x1)), PROPER(x1))
419.73/127.27
PROPER(from(dbl(z0))) → c53(FROM(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.27
PROPER(from(s(z0))) → c53(FROM(s(proper(z0))), PROPER(s(z0)))
419.73/127.27
PROPER(from(dbls(z0))) → c53(FROM(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.27
PROPER(from(cons(z0, z1))) → c53(FROM(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.27
PROPER(from(sel(z0, z1))) → c53(FROM(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.27
PROPER(from(indx(z0, z1))) → c53(FROM(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.27
PROPER(from(from(z0))) → c53(FROM(from(proper(z0))), PROPER(from(z0)))
419.73/127.27
PROPER(from(dbl1(z0))) → c53(FROM(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.27
PROPER(from(s1(z0))) → c53(FROM(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.27
PROPER(from(sel1(z0, z1))) → c53(FROM(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.27
PROPER(from(quote(z0))) → c53(FROM(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.27
PROPER(from(0)) → c53(FROM(ok(0)))
419.73/127.27
PROPER(from(nil)) → c53(FROM(ok(nil)))
419.73/127.27
PROPER(from(01)) → c53(FROM(ok(01)))
419.73/127.27
PROPER(dbl1(dbl(z0))) → c54(DBL1(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.27
PROPER(dbl1(s(z0))) → c54(DBL1(s(proper(z0))), PROPER(s(z0)))
419.73/127.27
PROPER(dbl1(dbls(z0))) → c54(DBL1(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.27
PROPER(dbl1(cons(z0, z1))) → c54(DBL1(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.27
PROPER(dbl1(sel(z0, z1))) → c54(DBL1(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.27
PROPER(dbl1(indx(z0, z1))) → c54(DBL1(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.27
PROPER(dbl1(from(z0))) → c54(DBL1(from(proper(z0))), PROPER(from(z0)))
419.73/127.27
PROPER(dbl1(dbl1(z0))) → c54(DBL1(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.27
PROPER(dbl1(s1(z0))) → c54(DBL1(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.27
PROPER(dbl1(sel1(z0, z1))) → c54(DBL1(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.27
PROPER(dbl1(quote(z0))) → c54(DBL1(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.27
PROPER(dbl1(0)) → c54(DBL1(ok(0)))
419.73/127.27
PROPER(dbl1(nil)) → c54(DBL1(ok(nil)))
419.73/127.27
PROPER(dbl1(01)) → c54(DBL1(ok(01)))
419.73/127.27
PROPER(s1(dbl(z0))) → c56(S1(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.27
PROPER(s1(s(z0))) → c56(S1(s(proper(z0))), PROPER(s(z0)))
419.73/127.27
PROPER(s1(dbls(z0))) → c56(S1(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.27
PROPER(s1(cons(z0, z1))) → c56(S1(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.27
PROPER(s1(sel(z0, z1))) → c56(S1(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.27
PROPER(s1(indx(z0, z1))) → c56(S1(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.27
PROPER(s1(from(z0))) → c56(S1(from(proper(z0))), PROPER(from(z0)))
419.73/127.27
PROPER(s1(dbl1(z0))) → c56(S1(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.27
PROPER(s1(s1(z0))) → c56(S1(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.27
PROPER(s1(sel1(z0, z1))) → c56(S1(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.27
PROPER(s1(quote(z0))) → c56(S1(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.27
PROPER(s1(0)) → c56(S1(ok(0)))
419.73/127.27
PROPER(s1(nil)) → c56(S1(ok(nil)))
419.73/127.27
PROPER(s1(01)) → c56(S1(ok(01)))
419.73/127.27
PROPER(sel1(x0, dbl(z0))) → c57(SEL1(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.27
PROPER(sel1(x0, 0)) → c57(SEL1(proper(x0), ok(0)), PROPER(x0), PROPER(0))
419.73/127.27
PROPER(sel1(x0, s(z0))) → c57(SEL1(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.27
PROPER(sel1(x0, dbls(z0))) → c57(SEL1(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.27
PROPER(sel1(x0, nil)) → c57(SEL1(proper(x0), ok(nil)), PROPER(x0), PROPER(nil))
419.73/127.27
PROPER(sel1(x0, cons(z0, z1))) → c57(SEL1(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.27
PROPER(sel1(x0, sel(z0, z1))) → c57(SEL1(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.27
PROPER(sel1(x0, indx(z0, z1))) → c57(SEL1(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.27
PROPER(sel1(x0, from(z0))) → c57(SEL1(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.27
PROPER(sel1(x0, dbl1(z0))) → c57(SEL1(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.27
PROPER(sel1(x0, 01)) → c57(SEL1(proper(x0), ok(01)), PROPER(x0), PROPER(01))
419.73/127.27
PROPER(sel1(x0, s1(z0))) → c57(SEL1(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.27
PROPER(sel1(x0, sel1(z0, z1))) → c57(SEL1(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.27
PROPER(sel1(x0, quote(z0))) → c57(SEL1(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.27
PROPER(sel1(dbl(z0), x1)) → c57(SEL1(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.27
PROPER(sel1(0, x1)) → c57(SEL1(ok(0), proper(x1)), PROPER(0), PROPER(x1))
419.73/127.27
PROPER(sel1(s(z0), x1)) → c57(SEL1(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.27
PROPER(sel1(dbls(z0), x1)) → c57(SEL1(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.27
PROPER(sel1(nil, x1)) → c57(SEL1(ok(nil), proper(x1)), PROPER(nil), PROPER(x1))
419.73/127.27
PROPER(sel1(cons(z0, z1), x1)) → c57(SEL1(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.27
PROPER(sel1(sel(z0, z1), x1)) → c57(SEL1(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.27
PROPER(sel1(indx(z0, z1), x1)) → c57(SEL1(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.27
PROPER(sel1(from(z0), x1)) → c57(SEL1(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.27
PROPER(sel1(dbl1(z0), x1)) → c57(SEL1(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.27
PROPER(sel1(01, x1)) → c57(SEL1(ok(01), proper(x1)), PROPER(01), PROPER(x1))
419.73/127.27
PROPER(sel1(s1(z0), x1)) → c57(SEL1(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.27
PROPER(sel1(sel1(z0, z1), x1)) → c57(SEL1(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.27
PROPER(sel1(quote(z0), x1)) → c57(SEL1(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
S tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.73/127.27
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.73/127.27
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.73/127.27
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.73/127.27
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.73/127.27
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.73/127.27
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.73/127.27
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.73/127.27
DBL(mark(z0)) → c27(DBL(z0))
419.73/127.27
DBL(ok(z0)) → c28(DBL(z0))
419.73/127.27
DBLS(mark(z0)) → c29(DBLS(z0))
419.73/127.27
DBLS(ok(z0)) → c30(DBLS(z0))
419.73/127.27
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.73/127.27
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.73/127.27
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.73/127.27
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.73/127.27
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.73/127.27
DBL1(mark(z0)) → c36(DBL1(z0))
419.73/127.27
DBL1(ok(z0)) → c37(DBL1(z0))
419.73/127.27
S1(mark(z0)) → c38(S1(z0))
419.73/127.27
S1(ok(z0)) → c39(S1(z0))
419.73/127.27
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.73/127.27
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.73/127.27
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.73/127.27
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.73/127.27
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.73/127.27
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
419.73/127.27
S(ok(z0)) → c59(S(z0))
419.73/127.27
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.73/127.27
FROM(ok(z0)) → c61(FROM(z0))
419.73/127.27
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
419.73/127.27
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.73/127.27
ACTIVE(from(z0)) → c8(S(z0))
419.73/127.27
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.73/127.27
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.73/127.27
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.73/127.27
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.73/127.27
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.73/127.27
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.73/127.27
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.73/127.27
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.73/127.27
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.73/127.27
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.73/127.27
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.73/127.27
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.73/127.27
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.73/127.27
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.73/127.27
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.27
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.27
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.27
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.27
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.27
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.27
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.27
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.27
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.27
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.27
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.27
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.27
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.27
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.27
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.27
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.27
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.73/127.27
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.73/127.27
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.73/127.27
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.73/127.27
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.73/127.27
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.27
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.27
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.27
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.27
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.27
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.27
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.27
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.27
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.27
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.27
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.27
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.27
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.27
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.27
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.27
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.27
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.73/127.27
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.73/127.27
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.73/127.27
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.27
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.27
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.73/127.27
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.73/127.27
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.27
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.27
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.73/127.27
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.73/127.27
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.27
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.27
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.27
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.27
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.73/127.27
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.73/127.27
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.73/127.27
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.73/127.27
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.73/127.27
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.73/127.27
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.73/127.27
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.73/127.27
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.73/127.27
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.73/127.27
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.73/127.27
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.73/127.27
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.73/127.27
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.73/127.27
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.73/127.27
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.73/127.27
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.73/127.27
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.27
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.27
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.27
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.27
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.73/127.27
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.73/127.27
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.73/127.27
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.73/127.27
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.73/127.27
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.27
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.73/127.27
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.73/127.27
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.27
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.27
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.27
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.27
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.27
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.27
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.27
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.27
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.27
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.27
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.27
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.27
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.27
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.27
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.27
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.27
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.73/127.27
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.73/127.27
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.27
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.73/127.27
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.73/127.27
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.73/127.27
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.73/127.27
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.73/127.27
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.27
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.73/127.27
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.27
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.73/127.27
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.27
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.73/127.27
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.73/127.27
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.27
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.73/127.27
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.27
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.27
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.73/127.27
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.73/127.27
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.73/127.27
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.27
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.27
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.27
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.27
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.27
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.27
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.27
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.27
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.27
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.27
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.27
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.27
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.27
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.27
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.27
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.27
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.27
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.73/127.27
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.73/127.27
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.73/127.27
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.73/127.27
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.73/127.27
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.73/127.27
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.27
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.73/127.27
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.27
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.27
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.73/127.27
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.73/127.27
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.73/127.27
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.73/127.27
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.27
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.27
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.27
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.27
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.27
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.27
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.27
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.27
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.27
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.27
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.27
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.27
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.27
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.27
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.27
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.27
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.73/127.27
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.73/127.27
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.27
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.73/127.27
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.73/127.27
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.73/127.27
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.73/127.27
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.73/127.27
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.73/127.27
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.73/127.27
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.73/127.27
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.27
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.73/127.27
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.27
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.73/127.27
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.73/127.27
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.73/127.27
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.27
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.73/127.27
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.27
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.73/127.27
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.73/127.27
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.27
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.73/127.27
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.27
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.27
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.73/127.27
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.73/127.27
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.73/127.27
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.73/127.27
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.73/127.27
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.27
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.27
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.73/127.27
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.27
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.27
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.27
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.27
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.73/127.27
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.27
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.27
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.27
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.27
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.73/127.27
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.73/127.27
PROPER(dbl(01)) → c45(DBL(ok(01)))
419.73/127.27
PROPER(s(dbl(z0))) → c47(S(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.27
PROPER(s(s(z0))) → c47(S(s(proper(z0))), PROPER(s(z0)))
419.73/127.27
PROPER(s(dbls(z0))) → c47(S(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.27
PROPER(s(cons(z0, z1))) → c47(S(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.27
PROPER(s(sel(z0, z1))) → c47(S(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.27
PROPER(s(indx(z0, z1))) → c47(S(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.27
PROPER(s(from(z0))) → c47(S(from(proper(z0))), PROPER(from(z0)))
419.73/127.27
PROPER(s(dbl1(z0))) → c47(S(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.27
PROPER(s(s1(z0))) → c47(S(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.27
PROPER(s(sel1(z0, z1))) → c47(S(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.27
PROPER(s(quote(z0))) → c47(S(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.27
PROPER(s(0)) → c47(S(ok(0)))
419.73/127.27
PROPER(s(nil)) → c47(S(ok(nil)))
419.73/127.27
PROPER(s(01)) → c47(S(ok(01)))
419.73/127.27
PROPER(dbls(dbl(z0))) → c48(DBLS(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.27
PROPER(dbls(s(z0))) → c48(DBLS(s(proper(z0))), PROPER(s(z0)))
419.73/127.27
PROPER(dbls(dbls(z0))) → c48(DBLS(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.27
PROPER(dbls(cons(z0, z1))) → c48(DBLS(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.27
PROPER(dbls(sel(z0, z1))) → c48(DBLS(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.27
PROPER(dbls(indx(z0, z1))) → c48(DBLS(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.27
PROPER(dbls(from(z0))) → c48(DBLS(from(proper(z0))), PROPER(from(z0)))
419.73/127.27
PROPER(dbls(dbl1(z0))) → c48(DBLS(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.27
PROPER(dbls(s1(z0))) → c48(DBLS(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.27
PROPER(dbls(sel1(z0, z1))) → c48(DBLS(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.27
PROPER(dbls(quote(z0))) → c48(DBLS(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.27
PROPER(dbls(0)) → c48(DBLS(ok(0)))
419.73/127.27
PROPER(dbls(nil)) → c48(DBLS(ok(nil)))
419.73/127.27
PROPER(dbls(01)) → c48(DBLS(ok(01)))
419.73/127.27
PROPER(cons(x0, dbl(z0))) → c50(CONS(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.27
PROPER(cons(x0, s(z0))) → c50(CONS(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.27
PROPER(cons(x0, dbls(z0))) → c50(CONS(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.27
PROPER(cons(x0, cons(z0, z1))) → c50(CONS(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.27
PROPER(cons(x0, sel(z0, z1))) → c50(CONS(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.27
PROPER(cons(x0, indx(z0, z1))) → c50(CONS(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.27
PROPER(cons(x0, from(z0))) → c50(CONS(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.27
PROPER(cons(x0, dbl1(z0))) → c50(CONS(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.27
PROPER(cons(x0, s1(z0))) → c50(CONS(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.27
PROPER(cons(x0, sel1(z0, z1))) → c50(CONS(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.27
PROPER(cons(x0, quote(z0))) → c50(CONS(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.27
PROPER(cons(dbl(z0), x1)) → c50(CONS(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.27
PROPER(cons(s(z0), x1)) → c50(CONS(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.27
PROPER(cons(dbls(z0), x1)) → c50(CONS(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.27
PROPER(cons(cons(z0, z1), x1)) → c50(CONS(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.27
PROPER(cons(sel(z0, z1), x1)) → c50(CONS(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.27
PROPER(cons(indx(z0, z1), x1)) → c50(CONS(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.27
PROPER(cons(from(z0), x1)) → c50(CONS(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.27
PROPER(cons(dbl1(z0), x1)) → c50(CONS(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.27
PROPER(cons(s1(z0), x1)) → c50(CONS(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.27
PROPER(cons(sel1(z0, z1), x1)) → c50(CONS(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.27
PROPER(cons(quote(z0), x1)) → c50(CONS(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.27
PROPER(cons(x0, 0)) → c50(CONS(proper(x0), ok(0)), PROPER(x0))
419.73/127.27
PROPER(cons(x0, nil)) → c50(CONS(proper(x0), ok(nil)), PROPER(x0))
419.73/127.27
PROPER(cons(x0, 01)) → c50(CONS(proper(x0), ok(01)), PROPER(x0))
419.73/127.27
PROPER(cons(0, x1)) → c50(CONS(ok(0), proper(x1)), PROPER(x1))
419.73/127.27
PROPER(cons(nil, x1)) → c50(CONS(ok(nil), proper(x1)), PROPER(x1))
419.73/127.27
PROPER(cons(01, x1)) → c50(CONS(ok(01), proper(x1)), PROPER(x1))
419.73/127.27
PROPER(sel(x0, dbl(z0))) → c51(SEL(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.27
PROPER(sel(x0, s(z0))) → c51(SEL(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.27
PROPER(sel(x0, dbls(z0))) → c51(SEL(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.27
PROPER(sel(x0, cons(z0, z1))) → c51(SEL(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.27
PROPER(sel(x0, sel(z0, z1))) → c51(SEL(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.27
PROPER(sel(x0, indx(z0, z1))) → c51(SEL(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.27
PROPER(sel(x0, from(z0))) → c51(SEL(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.27
PROPER(sel(x0, dbl1(z0))) → c51(SEL(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.27
PROPER(sel(x0, s1(z0))) → c51(SEL(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.27
PROPER(sel(x0, sel1(z0, z1))) → c51(SEL(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.27
PROPER(sel(x0, quote(z0))) → c51(SEL(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.27
PROPER(sel(dbl(z0), x1)) → c51(SEL(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.27
PROPER(sel(s(z0), x1)) → c51(SEL(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.27
PROPER(sel(dbls(z0), x1)) → c51(SEL(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.27
PROPER(sel(cons(z0, z1), x1)) → c51(SEL(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.27
PROPER(sel(sel(z0, z1), x1)) → c51(SEL(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.27
PROPER(sel(indx(z0, z1), x1)) → c51(SEL(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.27
PROPER(sel(from(z0), x1)) → c51(SEL(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.27
PROPER(sel(dbl1(z0), x1)) → c51(SEL(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.27
PROPER(sel(s1(z0), x1)) → c51(SEL(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.27
PROPER(sel(sel1(z0, z1), x1)) → c51(SEL(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.27
PROPER(sel(quote(z0), x1)) → c51(SEL(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.27
PROPER(sel(x0, 0)) → c51(SEL(proper(x0), ok(0)), PROPER(x0))
419.73/127.27
PROPER(sel(x0, nil)) → c51(SEL(proper(x0), ok(nil)), PROPER(x0))
419.73/127.27
PROPER(sel(x0, 01)) → c51(SEL(proper(x0), ok(01)), PROPER(x0))
419.73/127.27
PROPER(sel(0, x1)) → c51(SEL(ok(0), proper(x1)), PROPER(x1))
419.73/127.27
PROPER(sel(nil, x1)) → c51(SEL(ok(nil), proper(x1)), PROPER(x1))
419.73/127.27
PROPER(sel(01, x1)) → c51(SEL(ok(01), proper(x1)), PROPER(x1))
419.73/127.27
PROPER(indx(x0, dbl(z0))) → c52(INDX(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.27
PROPER(indx(x0, s(z0))) → c52(INDX(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.27
PROPER(indx(x0, dbls(z0))) → c52(INDX(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.27
PROPER(indx(x0, cons(z0, z1))) → c52(INDX(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.27
PROPER(indx(x0, sel(z0, z1))) → c52(INDX(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.27
PROPER(indx(x0, indx(z0, z1))) → c52(INDX(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.27
PROPER(indx(x0, from(z0))) → c52(INDX(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.27
PROPER(indx(x0, dbl1(z0))) → c52(INDX(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.27
PROPER(indx(x0, s1(z0))) → c52(INDX(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.27
PROPER(indx(x0, sel1(z0, z1))) → c52(INDX(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.27
PROPER(indx(x0, quote(z0))) → c52(INDX(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.27
PROPER(indx(dbl(z0), x1)) → c52(INDX(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.27
PROPER(indx(s(z0), x1)) → c52(INDX(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.27
PROPER(indx(dbls(z0), x1)) → c52(INDX(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.27
PROPER(indx(cons(z0, z1), x1)) → c52(INDX(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.27
PROPER(indx(sel(z0, z1), x1)) → c52(INDX(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.27
PROPER(indx(indx(z0, z1), x1)) → c52(INDX(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.27
PROPER(indx(from(z0), x1)) → c52(INDX(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.27
PROPER(indx(dbl1(z0), x1)) → c52(INDX(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.27
PROPER(indx(s1(z0), x1)) → c52(INDX(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.27
PROPER(indx(sel1(z0, z1), x1)) → c52(INDX(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.27
PROPER(indx(quote(z0), x1)) → c52(INDX(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.27
PROPER(indx(x0, 0)) → c52(INDX(proper(x0), ok(0)), PROPER(x0))
419.73/127.27
PROPER(indx(x0, nil)) → c52(INDX(proper(x0), ok(nil)), PROPER(x0))
419.73/127.27
PROPER(indx(x0, 01)) → c52(INDX(proper(x0), ok(01)), PROPER(x0))
419.73/127.27
PROPER(indx(0, x1)) → c52(INDX(ok(0), proper(x1)), PROPER(x1))
419.73/127.27
PROPER(indx(nil, x1)) → c52(INDX(ok(nil), proper(x1)), PROPER(x1))
419.73/127.27
PROPER(indx(01, x1)) → c52(INDX(ok(01), proper(x1)), PROPER(x1))
419.73/127.27
PROPER(from(dbl(z0))) → c53(FROM(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.27
PROPER(from(s(z0))) → c53(FROM(s(proper(z0))), PROPER(s(z0)))
419.73/127.27
PROPER(from(dbls(z0))) → c53(FROM(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.27
PROPER(from(cons(z0, z1))) → c53(FROM(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.27
PROPER(from(sel(z0, z1))) → c53(FROM(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.27
PROPER(from(indx(z0, z1))) → c53(FROM(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.27
PROPER(from(from(z0))) → c53(FROM(from(proper(z0))), PROPER(from(z0)))
419.73/127.27
PROPER(from(dbl1(z0))) → c53(FROM(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.27
PROPER(from(s1(z0))) → c53(FROM(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.27
PROPER(from(sel1(z0, z1))) → c53(FROM(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.27
PROPER(from(quote(z0))) → c53(FROM(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.27
PROPER(from(0)) → c53(FROM(ok(0)))
419.73/127.27
PROPER(from(nil)) → c53(FROM(ok(nil)))
419.73/127.27
PROPER(from(01)) → c53(FROM(ok(01)))
419.73/127.27
PROPER(dbl1(dbl(z0))) → c54(DBL1(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.27
PROPER(dbl1(s(z0))) → c54(DBL1(s(proper(z0))), PROPER(s(z0)))
419.73/127.27
PROPER(dbl1(dbls(z0))) → c54(DBL1(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.27
PROPER(dbl1(cons(z0, z1))) → c54(DBL1(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.27
PROPER(dbl1(sel(z0, z1))) → c54(DBL1(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.27
PROPER(dbl1(indx(z0, z1))) → c54(DBL1(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.27
PROPER(dbl1(from(z0))) → c54(DBL1(from(proper(z0))), PROPER(from(z0)))
419.73/127.27
PROPER(dbl1(dbl1(z0))) → c54(DBL1(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.27
PROPER(dbl1(s1(z0))) → c54(DBL1(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.27
PROPER(dbl1(sel1(z0, z1))) → c54(DBL1(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.27
PROPER(dbl1(quote(z0))) → c54(DBL1(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.27
PROPER(dbl1(0)) → c54(DBL1(ok(0)))
419.73/127.27
PROPER(dbl1(nil)) → c54(DBL1(ok(nil)))
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PROPER(dbl1(01)) → c54(DBL1(ok(01)))
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PROPER(s1(dbl(z0))) → c56(S1(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.27
PROPER(s1(s(z0))) → c56(S1(s(proper(z0))), PROPER(s(z0)))
419.73/127.27
PROPER(s1(dbls(z0))) → c56(S1(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.27
PROPER(s1(cons(z0, z1))) → c56(S1(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.27
PROPER(s1(sel(z0, z1))) → c56(S1(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.27
PROPER(s1(indx(z0, z1))) → c56(S1(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.27
PROPER(s1(from(z0))) → c56(S1(from(proper(z0))), PROPER(from(z0)))
419.73/127.27
PROPER(s1(dbl1(z0))) → c56(S1(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.27
PROPER(s1(s1(z0))) → c56(S1(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.27
PROPER(s1(sel1(z0, z1))) → c56(S1(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.27
PROPER(s1(quote(z0))) → c56(S1(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.27
PROPER(s1(0)) → c56(S1(ok(0)))
419.73/127.27
PROPER(s1(nil)) → c56(S1(ok(nil)))
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PROPER(s1(01)) → c56(S1(ok(01)))
419.73/127.27
PROPER(sel1(x0, dbl(z0))) → c57(SEL1(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.27
PROPER(sel1(x0, 0)) → c57(SEL1(proper(x0), ok(0)), PROPER(x0), PROPER(0))
419.73/127.27
PROPER(sel1(x0, s(z0))) → c57(SEL1(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.27
PROPER(sel1(x0, dbls(z0))) → c57(SEL1(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.27
PROPER(sel1(x0, nil)) → c57(SEL1(proper(x0), ok(nil)), PROPER(x0), PROPER(nil))
419.73/127.27
PROPER(sel1(x0, cons(z0, z1))) → c57(SEL1(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.27
PROPER(sel1(x0, sel(z0, z1))) → c57(SEL1(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.27
PROPER(sel1(x0, indx(z0, z1))) → c57(SEL1(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.27
PROPER(sel1(x0, from(z0))) → c57(SEL1(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.27
PROPER(sel1(x0, dbl1(z0))) → c57(SEL1(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.27
PROPER(sel1(x0, 01)) → c57(SEL1(proper(x0), ok(01)), PROPER(x0), PROPER(01))
419.73/127.27
PROPER(sel1(x0, s1(z0))) → c57(SEL1(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.27
PROPER(sel1(x0, sel1(z0, z1))) → c57(SEL1(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.27
PROPER(sel1(x0, quote(z0))) → c57(SEL1(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.27
PROPER(sel1(dbl(z0), x1)) → c57(SEL1(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.27
PROPER(sel1(0, x1)) → c57(SEL1(ok(0), proper(x1)), PROPER(0), PROPER(x1))
419.73/127.27
PROPER(sel1(s(z0), x1)) → c57(SEL1(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.27
PROPER(sel1(dbls(z0), x1)) → c57(SEL1(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.27
PROPER(sel1(nil, x1)) → c57(SEL1(ok(nil), proper(x1)), PROPER(nil), PROPER(x1))
419.73/127.27
PROPER(sel1(cons(z0, z1), x1)) → c57(SEL1(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.27
PROPER(sel1(sel(z0, z1), x1)) → c57(SEL1(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.27
PROPER(sel1(indx(z0, z1), x1)) → c57(SEL1(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.27
PROPER(sel1(from(z0), x1)) → c57(SEL1(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.27
PROPER(sel1(dbl1(z0), x1)) → c57(SEL1(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.27
PROPER(sel1(01, x1)) → c57(SEL1(ok(01), proper(x1)), PROPER(01), PROPER(x1))
419.73/127.27
PROPER(sel1(s1(z0), x1)) → c57(SEL1(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.27
PROPER(sel1(sel1(z0, z1), x1)) → c57(SEL1(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.27
PROPER(sel1(quote(z0), x1)) → c57(SEL1(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
ACTIVE, DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, PROPER, S, CONS, FROM, TOP
Compound Symbols:
c5, c12, c15, c16, c19, c20, c24, c25, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c58, c59, c60, c61, c62, c63, c8, c, c17, c17, c1, c18, c18, c2, c21, c21, c3, c22, c22, c4, c23, c23, c6, c26, c26, c7, c45, c45, c47, c47, c48, c48, c50, c50, c51, c51, c52, c52, c53, c53, c54, c54, c56, c56, c57
419.73/127.27
419.73/127.27
(81) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID) transformation)
Removed 6 trailing tuple parts
419.73/127.27
419.73/127.27
(82) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
419.73/127.27
active(dbl(s(z0))) → mark(s(s(dbl(z0))))
419.73/127.27
active(dbls(nil)) → mark(nil)
419.73/127.27
active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
419.73/127.27
active(sel(0, cons(z0, z1))) → mark(z0)
419.73/127.27
active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
419.73/127.27
active(indx(nil, z0)) → mark(nil)
419.73/127.27
active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
419.73/127.27
active(from(z0)) → mark(cons(z0, from(s(z0))))
419.73/127.27
active(dbl1(0)) → mark(01)
419.73/127.27
active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
419.73/127.27
active(sel1(0, cons(z0, z1))) → mark(z0)
419.73/127.27
active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
419.73/127.27
active(quote(0)) → mark(01)
419.73/127.27
active(quote(s(z0))) → mark(s1(quote(z0)))
419.73/127.27
active(quote(dbl(z0))) → mark(dbl1(z0))
419.73/127.27
active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
419.73/127.27
active(dbl(z0)) → dbl(active(z0))
419.73/127.27
active(dbls(z0)) → dbls(active(z0))
419.73/127.27
active(sel(z0, z1)) → sel(active(z0), z1)
419.73/127.27
active(sel(z0, z1)) → sel(z0, active(z1))
419.73/127.27
active(indx(z0, z1)) → indx(active(z0), z1)
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active(dbl1(z0)) → dbl1(active(z0))
419.73/127.27
active(s1(z0)) → s1(active(z0))
419.73/127.27
active(sel1(z0, z1)) → sel1(active(z0), z1)
419.73/127.27
active(sel1(z0, z1)) → sel1(z0, active(z1))
419.73/127.27
active(quote(z0)) → quote(active(z0))
419.73/127.27
dbl(mark(z0)) → mark(dbl(z0))
419.73/127.27
dbl(ok(z0)) → ok(dbl(z0))
419.73/127.27
dbls(mark(z0)) → mark(dbls(z0))
419.73/127.27
dbls(ok(z0)) → ok(dbls(z0))
419.73/127.27
sel(mark(z0), z1) → mark(sel(z0, z1))
419.73/127.27
sel(z0, mark(z1)) → mark(sel(z0, z1))
419.73/127.27
sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
419.73/127.27
indx(mark(z0), z1) → mark(indx(z0, z1))
419.73/127.27
indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
419.73/127.27
dbl1(mark(z0)) → mark(dbl1(z0))
419.73/127.27
dbl1(ok(z0)) → ok(dbl1(z0))
419.73/127.27
s1(mark(z0)) → mark(s1(z0))
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s1(ok(z0)) → ok(s1(z0))
419.73/127.27
sel1(mark(z0), z1) → mark(sel1(z0, z1))
419.73/127.27
sel1(z0, mark(z1)) → mark(sel1(z0, z1))
419.73/127.27
sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
419.73/127.27
quote(mark(z0)) → mark(quote(z0))
419.73/127.27
quote(ok(z0)) → ok(quote(z0))
419.73/127.27
proper(dbl(z0)) → dbl(proper(z0))
419.73/127.27
proper(0) → ok(0)
419.73/127.27
proper(s(z0)) → s(proper(z0))
419.73/127.27
proper(dbls(z0)) → dbls(proper(z0))
419.73/127.27
proper(nil) → ok(nil)
419.73/127.27
proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
419.73/127.27
proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
419.73/127.27
proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
419.73/127.27
proper(from(z0)) → from(proper(z0))
419.73/127.27
proper(dbl1(z0)) → dbl1(proper(z0))
419.73/127.27
proper(01) → ok(01)
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proper(s1(z0)) → s1(proper(z0))
419.73/127.27
proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
419.73/127.27
proper(quote(z0)) → quote(proper(z0))
419.73/127.27
s(ok(z0)) → ok(s(z0))
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cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
419.73/127.27
from(ok(z0)) → ok(from(z0))
419.73/127.27
top(mark(z0)) → top(proper(z0))
419.73/127.27
top(ok(z0)) → top(active(z0))
Tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.73/127.27
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.73/127.27
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.73/127.27
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.73/127.27
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.73/127.27
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.73/127.27
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.73/127.27
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.73/127.27
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.73/127.27
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.73/127.27
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.73/127.27
DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.73/127.27
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.73/127.27
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.73/127.27
QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
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TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
419.73/127.27
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.73/127.27
ACTIVE(from(z0)) → c8(S(z0))
419.73/127.27
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.73/127.27
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.73/127.27
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.73/127.27
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.73/127.27
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.73/127.27
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.73/127.27
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.73/127.27
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.73/127.27
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.73/127.27
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.73/127.27
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.73/127.27
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.73/127.27
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.73/127.27
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.73/127.27
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.27
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.27
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.27
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.27
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.27
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.27
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.27
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.27
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.27
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.27
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.27
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.27
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.27
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.27
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.27
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.27
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.73/127.27
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.73/127.27
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.73/127.27
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.73/127.27
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.73/127.27
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.27
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.27
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.27
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.27
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.27
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.27
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.27
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.27
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.27
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.27
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.27
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.27
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.27
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.27
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.27
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.27
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.73/127.27
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.73/127.27
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.73/127.27
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.27
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.27
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.73/127.27
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.73/127.27
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.27
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.27
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.73/127.27
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.73/127.27
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.27
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.27
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.27
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.27
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.73/127.27
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.73/127.27
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.73/127.27
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.73/127.27
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.73/127.27
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.73/127.27
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.73/127.27
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.73/127.27
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.73/127.27
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.73/127.27
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.73/127.27
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.73/127.27
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.73/127.27
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.73/127.27
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.73/127.27
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.73/127.27
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.73/127.27
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.27
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.27
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.27
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.27
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.73/127.27
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.73/127.27
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.73/127.27
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.73/127.27
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.73/127.27
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.27
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.73/127.27
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.73/127.27
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.27
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.27
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.27
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.27
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.27
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.27
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.27
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.27
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.27
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.27
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.27
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.27
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.27
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.27
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.27
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.27
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.73/127.27
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.73/127.27
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.27
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.73/127.27
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.73/127.27
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.73/127.27
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.73/127.27
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.73/127.27
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.27
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.73/127.27
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.27
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.73/127.27
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.27
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.73/127.27
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.73/127.27
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.27
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.73/127.27
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.27
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.27
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.73/127.27
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.73/127.27
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.73/127.27
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.27
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.27
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.27
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.27
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.27
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.27
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.27
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.27
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.27
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.27
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.27
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.27
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.27
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.27
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.27
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.27
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.27
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.73/127.27
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.73/127.27
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.73/127.27
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.73/127.27
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.73/127.27
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.73/127.27
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.27
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.73/127.27
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.27
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.27
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.73/127.27
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.73/127.27
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.73/127.27
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.73/127.27
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.27
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.27
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.27
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.27
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.27
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.27
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.27
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.27
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.27
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.27
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.27
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.27
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.27
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.27
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.27
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.27
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.73/127.27
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.73/127.27
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.27
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.73/127.27
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.73/127.27
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.73/127.27
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.73/127.27
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.73/127.27
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.73/127.27
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.73/127.27
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.73/127.27
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.27
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.73/127.27
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.27
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.73/127.27
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.73/127.27
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.73/127.27
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.27
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.73/127.27
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.27
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.73/127.27
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.73/127.27
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.27
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.73/127.27
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.27
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.27
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.73/127.27
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.73/127.27
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.73/127.27
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.73/127.27
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.73/127.27
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.27
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.27
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.73/127.27
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.27
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.27
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.27
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.27
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.73/127.27
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.27
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.27
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.27
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.27
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.73/127.27
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.73/127.27
PROPER(dbl(01)) → c45(DBL(ok(01)))
419.73/127.27
PROPER(s(dbl(z0))) → c47(S(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.27
PROPER(s(s(z0))) → c47(S(s(proper(z0))), PROPER(s(z0)))
419.73/127.27
PROPER(s(dbls(z0))) → c47(S(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.27
PROPER(s(cons(z0, z1))) → c47(S(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.27
PROPER(s(sel(z0, z1))) → c47(S(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.27
PROPER(s(indx(z0, z1))) → c47(S(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.27
PROPER(s(from(z0))) → c47(S(from(proper(z0))), PROPER(from(z0)))
419.73/127.27
PROPER(s(dbl1(z0))) → c47(S(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.27
PROPER(s(s1(z0))) → c47(S(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.27
PROPER(s(sel1(z0, z1))) → c47(S(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.27
PROPER(s(quote(z0))) → c47(S(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.27
PROPER(s(0)) → c47(S(ok(0)))
419.73/127.27
PROPER(s(nil)) → c47(S(ok(nil)))
419.73/127.27
PROPER(s(01)) → c47(S(ok(01)))
419.73/127.27
PROPER(dbls(dbl(z0))) → c48(DBLS(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.27
PROPER(dbls(s(z0))) → c48(DBLS(s(proper(z0))), PROPER(s(z0)))
419.73/127.27
PROPER(dbls(dbls(z0))) → c48(DBLS(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.27
PROPER(dbls(cons(z0, z1))) → c48(DBLS(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.27
PROPER(dbls(sel(z0, z1))) → c48(DBLS(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.27
PROPER(dbls(indx(z0, z1))) → c48(DBLS(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.27
PROPER(dbls(from(z0))) → c48(DBLS(from(proper(z0))), PROPER(from(z0)))
419.73/127.27
PROPER(dbls(dbl1(z0))) → c48(DBLS(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.27
PROPER(dbls(s1(z0))) → c48(DBLS(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.27
PROPER(dbls(sel1(z0, z1))) → c48(DBLS(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.27
PROPER(dbls(quote(z0))) → c48(DBLS(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.27
PROPER(dbls(0)) → c48(DBLS(ok(0)))
419.73/127.27
PROPER(dbls(nil)) → c48(DBLS(ok(nil)))
419.73/127.27
PROPER(dbls(01)) → c48(DBLS(ok(01)))
419.73/127.27
PROPER(cons(x0, dbl(z0))) → c50(CONS(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.27
PROPER(cons(x0, s(z0))) → c50(CONS(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.27
PROPER(cons(x0, dbls(z0))) → c50(CONS(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.27
PROPER(cons(x0, cons(z0, z1))) → c50(CONS(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.27
PROPER(cons(x0, sel(z0, z1))) → c50(CONS(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.27
PROPER(cons(x0, indx(z0, z1))) → c50(CONS(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.27
PROPER(cons(x0, from(z0))) → c50(CONS(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.27
PROPER(cons(x0, dbl1(z0))) → c50(CONS(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.27
PROPER(cons(x0, s1(z0))) → c50(CONS(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.27
PROPER(cons(x0, sel1(z0, z1))) → c50(CONS(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.27
PROPER(cons(x0, quote(z0))) → c50(CONS(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.27
PROPER(cons(dbl(z0), x1)) → c50(CONS(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.27
PROPER(cons(s(z0), x1)) → c50(CONS(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.27
PROPER(cons(dbls(z0), x1)) → c50(CONS(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.27
PROPER(cons(cons(z0, z1), x1)) → c50(CONS(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.27
PROPER(cons(sel(z0, z1), x1)) → c50(CONS(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.27
PROPER(cons(indx(z0, z1), x1)) → c50(CONS(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.27
PROPER(cons(from(z0), x1)) → c50(CONS(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.27
PROPER(cons(dbl1(z0), x1)) → c50(CONS(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.27
PROPER(cons(s1(z0), x1)) → c50(CONS(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.27
PROPER(cons(sel1(z0, z1), x1)) → c50(CONS(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.27
PROPER(cons(quote(z0), x1)) → c50(CONS(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.27
PROPER(cons(x0, 0)) → c50(CONS(proper(x0), ok(0)), PROPER(x0))
419.73/127.27
PROPER(cons(x0, nil)) → c50(CONS(proper(x0), ok(nil)), PROPER(x0))
419.73/127.27
PROPER(cons(x0, 01)) → c50(CONS(proper(x0), ok(01)), PROPER(x0))
419.73/127.27
PROPER(cons(0, x1)) → c50(CONS(ok(0), proper(x1)), PROPER(x1))
419.73/127.27
PROPER(cons(nil, x1)) → c50(CONS(ok(nil), proper(x1)), PROPER(x1))
419.73/127.27
PROPER(cons(01, x1)) → c50(CONS(ok(01), proper(x1)), PROPER(x1))
419.73/127.27
PROPER(sel(x0, dbl(z0))) → c51(SEL(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.27
PROPER(sel(x0, s(z0))) → c51(SEL(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.27
PROPER(sel(x0, dbls(z0))) → c51(SEL(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.27
PROPER(sel(x0, cons(z0, z1))) → c51(SEL(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.27
PROPER(sel(x0, sel(z0, z1))) → c51(SEL(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.27
PROPER(sel(x0, indx(z0, z1))) → c51(SEL(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.27
PROPER(sel(x0, from(z0))) → c51(SEL(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.27
PROPER(sel(x0, dbl1(z0))) → c51(SEL(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.27
PROPER(sel(x0, s1(z0))) → c51(SEL(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.27
PROPER(sel(x0, sel1(z0, z1))) → c51(SEL(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.27
PROPER(sel(x0, quote(z0))) → c51(SEL(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.27
PROPER(sel(dbl(z0), x1)) → c51(SEL(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.27
PROPER(sel(s(z0), x1)) → c51(SEL(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.27
PROPER(sel(dbls(z0), x1)) → c51(SEL(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.27
PROPER(sel(cons(z0, z1), x1)) → c51(SEL(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.27
PROPER(sel(sel(z0, z1), x1)) → c51(SEL(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.27
PROPER(sel(indx(z0, z1), x1)) → c51(SEL(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.27
PROPER(sel(from(z0), x1)) → c51(SEL(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.27
PROPER(sel(dbl1(z0), x1)) → c51(SEL(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.27
PROPER(sel(s1(z0), x1)) → c51(SEL(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.27
PROPER(sel(sel1(z0, z1), x1)) → c51(SEL(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.27
PROPER(sel(quote(z0), x1)) → c51(SEL(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.27
PROPER(sel(x0, 0)) → c51(SEL(proper(x0), ok(0)), PROPER(x0))
419.73/127.27
PROPER(sel(x0, nil)) → c51(SEL(proper(x0), ok(nil)), PROPER(x0))
419.73/127.27
PROPER(sel(x0, 01)) → c51(SEL(proper(x0), ok(01)), PROPER(x0))
419.73/127.27
PROPER(sel(0, x1)) → c51(SEL(ok(0), proper(x1)), PROPER(x1))
419.73/127.27
PROPER(sel(nil, x1)) → c51(SEL(ok(nil), proper(x1)), PROPER(x1))
419.73/127.27
PROPER(sel(01, x1)) → c51(SEL(ok(01), proper(x1)), PROPER(x1))
419.73/127.27
PROPER(indx(x0, dbl(z0))) → c52(INDX(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.27
PROPER(indx(x0, s(z0))) → c52(INDX(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.27
PROPER(indx(x0, dbls(z0))) → c52(INDX(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.27
PROPER(indx(x0, cons(z0, z1))) → c52(INDX(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.27
PROPER(indx(x0, sel(z0, z1))) → c52(INDX(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.27
PROPER(indx(x0, indx(z0, z1))) → c52(INDX(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.27
PROPER(indx(x0, from(z0))) → c52(INDX(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.27
PROPER(indx(x0, dbl1(z0))) → c52(INDX(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.27
PROPER(indx(x0, s1(z0))) → c52(INDX(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.27
PROPER(indx(x0, sel1(z0, z1))) → c52(INDX(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.27
PROPER(indx(x0, quote(z0))) → c52(INDX(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.27
PROPER(indx(dbl(z0), x1)) → c52(INDX(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.27
PROPER(indx(s(z0), x1)) → c52(INDX(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.27
PROPER(indx(dbls(z0), x1)) → c52(INDX(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.27
PROPER(indx(cons(z0, z1), x1)) → c52(INDX(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.27
PROPER(indx(sel(z0, z1), x1)) → c52(INDX(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.27
PROPER(indx(indx(z0, z1), x1)) → c52(INDX(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.27
PROPER(indx(from(z0), x1)) → c52(INDX(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.27
PROPER(indx(dbl1(z0), x1)) → c52(INDX(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.27
PROPER(indx(s1(z0), x1)) → c52(INDX(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.27
PROPER(indx(sel1(z0, z1), x1)) → c52(INDX(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.27
PROPER(indx(quote(z0), x1)) → c52(INDX(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.27
PROPER(indx(x0, 0)) → c52(INDX(proper(x0), ok(0)), PROPER(x0))
419.73/127.27
PROPER(indx(x0, nil)) → c52(INDX(proper(x0), ok(nil)), PROPER(x0))
419.73/127.27
PROPER(indx(x0, 01)) → c52(INDX(proper(x0), ok(01)), PROPER(x0))
419.73/127.27
PROPER(indx(0, x1)) → c52(INDX(ok(0), proper(x1)), PROPER(x1))
419.73/127.27
PROPER(indx(nil, x1)) → c52(INDX(ok(nil), proper(x1)), PROPER(x1))
419.73/127.27
PROPER(indx(01, x1)) → c52(INDX(ok(01), proper(x1)), PROPER(x1))
419.73/127.27
PROPER(from(dbl(z0))) → c53(FROM(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.27
PROPER(from(s(z0))) → c53(FROM(s(proper(z0))), PROPER(s(z0)))
419.73/127.27
PROPER(from(dbls(z0))) → c53(FROM(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.27
PROPER(from(cons(z0, z1))) → c53(FROM(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.27
PROPER(from(sel(z0, z1))) → c53(FROM(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.27
PROPER(from(indx(z0, z1))) → c53(FROM(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.27
PROPER(from(from(z0))) → c53(FROM(from(proper(z0))), PROPER(from(z0)))
419.73/127.27
PROPER(from(dbl1(z0))) → c53(FROM(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.27
PROPER(from(s1(z0))) → c53(FROM(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.27
PROPER(from(sel1(z0, z1))) → c53(FROM(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.27
PROPER(from(quote(z0))) → c53(FROM(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.27
PROPER(from(0)) → c53(FROM(ok(0)))
419.73/127.27
PROPER(from(nil)) → c53(FROM(ok(nil)))
419.73/127.27
PROPER(from(01)) → c53(FROM(ok(01)))
419.73/127.27
PROPER(dbl1(dbl(z0))) → c54(DBL1(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.27
PROPER(dbl1(s(z0))) → c54(DBL1(s(proper(z0))), PROPER(s(z0)))
419.73/127.27
PROPER(dbl1(dbls(z0))) → c54(DBL1(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.27
PROPER(dbl1(cons(z0, z1))) → c54(DBL1(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.27
PROPER(dbl1(sel(z0, z1))) → c54(DBL1(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.27
PROPER(dbl1(indx(z0, z1))) → c54(DBL1(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.27
PROPER(dbl1(from(z0))) → c54(DBL1(from(proper(z0))), PROPER(from(z0)))
419.73/127.27
PROPER(dbl1(dbl1(z0))) → c54(DBL1(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.27
PROPER(dbl1(s1(z0))) → c54(DBL1(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.27
PROPER(dbl1(sel1(z0, z1))) → c54(DBL1(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.27
PROPER(dbl1(quote(z0))) → c54(DBL1(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.27
PROPER(dbl1(0)) → c54(DBL1(ok(0)))
419.73/127.27
PROPER(dbl1(nil)) → c54(DBL1(ok(nil)))
419.73/127.27
PROPER(dbl1(01)) → c54(DBL1(ok(01)))
419.73/127.27
PROPER(s1(dbl(z0))) → c56(S1(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.27
PROPER(s1(s(z0))) → c56(S1(s(proper(z0))), PROPER(s(z0)))
419.73/127.27
PROPER(s1(dbls(z0))) → c56(S1(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.27
PROPER(s1(cons(z0, z1))) → c56(S1(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.27
PROPER(s1(sel(z0, z1))) → c56(S1(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.27
PROPER(s1(indx(z0, z1))) → c56(S1(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.27
PROPER(s1(from(z0))) → c56(S1(from(proper(z0))), PROPER(from(z0)))
419.73/127.27
PROPER(s1(dbl1(z0))) → c56(S1(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.27
PROPER(s1(s1(z0))) → c56(S1(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.27
PROPER(s1(sel1(z0, z1))) → c56(S1(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.27
PROPER(s1(quote(z0))) → c56(S1(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.27
PROPER(s1(0)) → c56(S1(ok(0)))
419.73/127.27
PROPER(s1(nil)) → c56(S1(ok(nil)))
419.73/127.27
PROPER(s1(01)) → c56(S1(ok(01)))
419.73/127.27
PROPER(sel1(x0, dbl(z0))) → c57(SEL1(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.27
PROPER(sel1(x0, s(z0))) → c57(SEL1(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.27
PROPER(sel1(x0, dbls(z0))) → c57(SEL1(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.27
PROPER(sel1(x0, cons(z0, z1))) → c57(SEL1(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.27
PROPER(sel1(x0, sel(z0, z1))) → c57(SEL1(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.27
PROPER(sel1(x0, indx(z0, z1))) → c57(SEL1(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.27
PROPER(sel1(x0, from(z0))) → c57(SEL1(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.27
PROPER(sel1(x0, dbl1(z0))) → c57(SEL1(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.27
PROPER(sel1(x0, s1(z0))) → c57(SEL1(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.27
PROPER(sel1(x0, sel1(z0, z1))) → c57(SEL1(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.27
PROPER(sel1(x0, quote(z0))) → c57(SEL1(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.27
PROPER(sel1(dbl(z0), x1)) → c57(SEL1(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.27
PROPER(sel1(s(z0), x1)) → c57(SEL1(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.27
PROPER(sel1(dbls(z0), x1)) → c57(SEL1(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.27
PROPER(sel1(cons(z0, z1), x1)) → c57(SEL1(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.27
PROPER(sel1(sel(z0, z1), x1)) → c57(SEL1(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.27
PROPER(sel1(indx(z0, z1), x1)) → c57(SEL1(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.27
PROPER(sel1(from(z0), x1)) → c57(SEL1(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.27
PROPER(sel1(dbl1(z0), x1)) → c57(SEL1(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.27
PROPER(sel1(s1(z0), x1)) → c57(SEL1(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.27
PROPER(sel1(sel1(z0, z1), x1)) → c57(SEL1(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.27
PROPER(sel1(quote(z0), x1)) → c57(SEL1(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.27
PROPER(sel1(x0, 0)) → c57(SEL1(proper(x0), ok(0)), PROPER(x0))
419.73/127.27
PROPER(sel1(x0, nil)) → c57(SEL1(proper(x0), ok(nil)), PROPER(x0))
419.73/127.27
PROPER(sel1(x0, 01)) → c57(SEL1(proper(x0), ok(01)), PROPER(x0))
419.73/127.27
PROPER(sel1(0, x1)) → c57(SEL1(ok(0), proper(x1)), PROPER(x1))
419.73/127.27
PROPER(sel1(nil, x1)) → c57(SEL1(ok(nil), proper(x1)), PROPER(x1))
419.73/127.27
PROPER(sel1(01, x1)) → c57(SEL1(ok(01), proper(x1)), PROPER(x1))
S tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.73/127.27
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.73/127.27
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.73/127.27
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.73/127.27
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.73/127.27
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.73/127.27
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.73/127.27
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.73/127.27
DBL(mark(z0)) → c27(DBL(z0))
419.73/127.27
DBL(ok(z0)) → c28(DBL(z0))
419.73/127.27
DBLS(mark(z0)) → c29(DBLS(z0))
419.73/127.27
DBLS(ok(z0)) → c30(DBLS(z0))
419.73/127.27
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.73/127.27
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.73/127.27
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.73/127.27
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.73/127.27
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.73/127.27
DBL1(mark(z0)) → c36(DBL1(z0))
419.73/127.27
DBL1(ok(z0)) → c37(DBL1(z0))
419.73/127.27
S1(mark(z0)) → c38(S1(z0))
419.73/127.27
S1(ok(z0)) → c39(S1(z0))
419.73/127.27
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.73/127.27
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.73/127.27
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.73/127.27
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.73/127.27
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.73/127.27
PROPER(quote(z0)) → c58(QUOTE(proper(z0)), PROPER(z0))
419.73/127.27
S(ok(z0)) → c59(S(z0))
419.73/127.27
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.73/127.27
FROM(ok(z0)) → c61(FROM(z0))
419.73/127.27
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
419.73/127.27
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.73/127.27
ACTIVE(from(z0)) → c8(S(z0))
419.73/127.27
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.73/127.27
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.73/127.27
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.73/127.27
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.73/127.27
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.73/127.27
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.73/127.27
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.73/127.27
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.73/127.27
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.73/127.27
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.73/127.27
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.73/127.27
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.73/127.27
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.73/127.27
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.73/127.27
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.27
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.27
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.27
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.27
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.27
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.27
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.27
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.27
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.27
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.27
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.27
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.27
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.27
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.27
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.27
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.27
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.73/127.27
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.73/127.27
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.73/127.27
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.73/127.27
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.73/127.27
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.27
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.27
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.27
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.27
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.27
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.27
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.27
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.27
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.27
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.27
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.27
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.27
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.27
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.27
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.27
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.27
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.73/127.27
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.73/127.27
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.73/127.27
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.27
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.27
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.73/127.27
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.73/127.27
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.27
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.27
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.73/127.27
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.73/127.27
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.27
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.27
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.27
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.27
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.73/127.27
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.73/127.27
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.73/127.27
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.73/127.27
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.73/127.27
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.73/127.27
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.73/127.27
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.73/127.27
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.73/127.27
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.73/127.27
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.73/127.27
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.73/127.27
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.73/127.27
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.73/127.27
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.73/127.27
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.73/127.27
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.73/127.27
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.27
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.27
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.27
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.27
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.73/127.27
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.73/127.27
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.73/127.27
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.73/127.27
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.73/127.27
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.27
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.73/127.27
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.73/127.27
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.27
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.27
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.27
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.27
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.27
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.27
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.27
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.27
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.27
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.27
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.27
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.27
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.27
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.27
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.27
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.27
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.73/127.27
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.73/127.27
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.27
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.73/127.27
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.73/127.27
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.73/127.27
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.73/127.27
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.73/127.27
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.27
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.73/127.27
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.27
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.73/127.27
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.27
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.73/127.27
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.73/127.27
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.27
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.73/127.27
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.27
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.27
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.73/127.27
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.73/127.27
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.73/127.27
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.27
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.27
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.27
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.27
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.27
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.27
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.27
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.27
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.27
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.27
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.27
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.27
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.27
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.27
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.27
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.27
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.27
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.73/127.27
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.73/127.27
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.73/127.27
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.73/127.27
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.73/127.27
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.73/127.27
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.27
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.73/127.27
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.27
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.27
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.73/127.27
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.73/127.27
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.73/127.27
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.73/127.27
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.27
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.27
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.27
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.27
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.27
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.27
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.27
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.27
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.27
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.27
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.27
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.27
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.27
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.27
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.27
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.27
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.73/127.27
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.73/127.27
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.27
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.73/127.27
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.73/127.27
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.73/127.27
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.73/127.27
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.73/127.27
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.73/127.27
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.73/127.27
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.73/127.27
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.27
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.73/127.27
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.27
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.73/127.27
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.73/127.27
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.73/127.27
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.27
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.73/127.27
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.27
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.73/127.27
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.73/127.27
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.27
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.73/127.27
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.27
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.27
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.73/127.27
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.73/127.27
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.73/127.27
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.73/127.27
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.73/127.27
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.27
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.27
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.73/127.27
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.27
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.27
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.27
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.27
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.73/127.27
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.27
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.27
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.27
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.27
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.73/127.27
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.73/127.28
PROPER(dbl(01)) → c45(DBL(ok(01)))
419.73/127.28
PROPER(s(dbl(z0))) → c47(S(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.28
PROPER(s(s(z0))) → c47(S(s(proper(z0))), PROPER(s(z0)))
419.73/127.28
PROPER(s(dbls(z0))) → c47(S(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.28
PROPER(s(cons(z0, z1))) → c47(S(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.28
PROPER(s(sel(z0, z1))) → c47(S(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.28
PROPER(s(indx(z0, z1))) → c47(S(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.28
PROPER(s(from(z0))) → c47(S(from(proper(z0))), PROPER(from(z0)))
419.73/127.28
PROPER(s(dbl1(z0))) → c47(S(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.28
PROPER(s(s1(z0))) → c47(S(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.28
PROPER(s(sel1(z0, z1))) → c47(S(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.28
PROPER(s(quote(z0))) → c47(S(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.28
PROPER(s(0)) → c47(S(ok(0)))
419.73/127.28
PROPER(s(nil)) → c47(S(ok(nil)))
419.73/127.28
PROPER(s(01)) → c47(S(ok(01)))
419.73/127.28
PROPER(dbls(dbl(z0))) → c48(DBLS(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.28
PROPER(dbls(s(z0))) → c48(DBLS(s(proper(z0))), PROPER(s(z0)))
419.73/127.28
PROPER(dbls(dbls(z0))) → c48(DBLS(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.28
PROPER(dbls(cons(z0, z1))) → c48(DBLS(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.28
PROPER(dbls(sel(z0, z1))) → c48(DBLS(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.28
PROPER(dbls(indx(z0, z1))) → c48(DBLS(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.28
PROPER(dbls(from(z0))) → c48(DBLS(from(proper(z0))), PROPER(from(z0)))
419.73/127.28
PROPER(dbls(dbl1(z0))) → c48(DBLS(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.28
PROPER(dbls(s1(z0))) → c48(DBLS(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.28
PROPER(dbls(sel1(z0, z1))) → c48(DBLS(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.28
PROPER(dbls(quote(z0))) → c48(DBLS(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.28
PROPER(dbls(0)) → c48(DBLS(ok(0)))
419.73/127.28
PROPER(dbls(nil)) → c48(DBLS(ok(nil)))
419.73/127.28
PROPER(dbls(01)) → c48(DBLS(ok(01)))
419.73/127.28
PROPER(cons(x0, dbl(z0))) → c50(CONS(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.28
PROPER(cons(x0, s(z0))) → c50(CONS(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.28
PROPER(cons(x0, dbls(z0))) → c50(CONS(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.28
PROPER(cons(x0, cons(z0, z1))) → c50(CONS(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.28
PROPER(cons(x0, sel(z0, z1))) → c50(CONS(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.28
PROPER(cons(x0, indx(z0, z1))) → c50(CONS(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.28
PROPER(cons(x0, from(z0))) → c50(CONS(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.28
PROPER(cons(x0, dbl1(z0))) → c50(CONS(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.28
PROPER(cons(x0, s1(z0))) → c50(CONS(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.28
PROPER(cons(x0, sel1(z0, z1))) → c50(CONS(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.28
PROPER(cons(x0, quote(z0))) → c50(CONS(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.28
PROPER(cons(dbl(z0), x1)) → c50(CONS(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.28
PROPER(cons(s(z0), x1)) → c50(CONS(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.28
PROPER(cons(dbls(z0), x1)) → c50(CONS(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.28
PROPER(cons(cons(z0, z1), x1)) → c50(CONS(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(cons(sel(z0, z1), x1)) → c50(CONS(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(cons(indx(z0, z1), x1)) → c50(CONS(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(cons(from(z0), x1)) → c50(CONS(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.28
PROPER(cons(dbl1(z0), x1)) → c50(CONS(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.28
PROPER(cons(s1(z0), x1)) → c50(CONS(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.28
PROPER(cons(sel1(z0, z1), x1)) → c50(CONS(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(cons(quote(z0), x1)) → c50(CONS(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.28
PROPER(cons(x0, 0)) → c50(CONS(proper(x0), ok(0)), PROPER(x0))
419.73/127.28
PROPER(cons(x0, nil)) → c50(CONS(proper(x0), ok(nil)), PROPER(x0))
419.73/127.28
PROPER(cons(x0, 01)) → c50(CONS(proper(x0), ok(01)), PROPER(x0))
419.73/127.28
PROPER(cons(0, x1)) → c50(CONS(ok(0), proper(x1)), PROPER(x1))
419.73/127.28
PROPER(cons(nil, x1)) → c50(CONS(ok(nil), proper(x1)), PROPER(x1))
419.73/127.28
PROPER(cons(01, x1)) → c50(CONS(ok(01), proper(x1)), PROPER(x1))
419.73/127.28
PROPER(sel(x0, dbl(z0))) → c51(SEL(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.28
PROPER(sel(x0, s(z0))) → c51(SEL(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.28
PROPER(sel(x0, dbls(z0))) → c51(SEL(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.28
PROPER(sel(x0, cons(z0, z1))) → c51(SEL(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.28
PROPER(sel(x0, sel(z0, z1))) → c51(SEL(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.28
PROPER(sel(x0, indx(z0, z1))) → c51(SEL(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.28
PROPER(sel(x0, from(z0))) → c51(SEL(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.28
PROPER(sel(x0, dbl1(z0))) → c51(SEL(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.28
PROPER(sel(x0, s1(z0))) → c51(SEL(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.28
PROPER(sel(x0, sel1(z0, z1))) → c51(SEL(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.28
PROPER(sel(x0, quote(z0))) → c51(SEL(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.28
PROPER(sel(dbl(z0), x1)) → c51(SEL(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.28
PROPER(sel(s(z0), x1)) → c51(SEL(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.28
PROPER(sel(dbls(z0), x1)) → c51(SEL(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.28
PROPER(sel(cons(z0, z1), x1)) → c51(SEL(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(sel(sel(z0, z1), x1)) → c51(SEL(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(sel(indx(z0, z1), x1)) → c51(SEL(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(sel(from(z0), x1)) → c51(SEL(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.28
PROPER(sel(dbl1(z0), x1)) → c51(SEL(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.28
PROPER(sel(s1(z0), x1)) → c51(SEL(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.28
PROPER(sel(sel1(z0, z1), x1)) → c51(SEL(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(sel(quote(z0), x1)) → c51(SEL(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.28
PROPER(sel(x0, 0)) → c51(SEL(proper(x0), ok(0)), PROPER(x0))
419.73/127.28
PROPER(sel(x0, nil)) → c51(SEL(proper(x0), ok(nil)), PROPER(x0))
419.73/127.28
PROPER(sel(x0, 01)) → c51(SEL(proper(x0), ok(01)), PROPER(x0))
419.73/127.28
PROPER(sel(0, x1)) → c51(SEL(ok(0), proper(x1)), PROPER(x1))
419.73/127.28
PROPER(sel(nil, x1)) → c51(SEL(ok(nil), proper(x1)), PROPER(x1))
419.73/127.28
PROPER(sel(01, x1)) → c51(SEL(ok(01), proper(x1)), PROPER(x1))
419.73/127.28
PROPER(indx(x0, dbl(z0))) → c52(INDX(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.28
PROPER(indx(x0, s(z0))) → c52(INDX(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.28
PROPER(indx(x0, dbls(z0))) → c52(INDX(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.28
PROPER(indx(x0, cons(z0, z1))) → c52(INDX(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.28
PROPER(indx(x0, sel(z0, z1))) → c52(INDX(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.28
PROPER(indx(x0, indx(z0, z1))) → c52(INDX(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.28
PROPER(indx(x0, from(z0))) → c52(INDX(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.28
PROPER(indx(x0, dbl1(z0))) → c52(INDX(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.28
PROPER(indx(x0, s1(z0))) → c52(INDX(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.28
PROPER(indx(x0, sel1(z0, z1))) → c52(INDX(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.28
PROPER(indx(x0, quote(z0))) → c52(INDX(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.28
PROPER(indx(dbl(z0), x1)) → c52(INDX(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.28
PROPER(indx(s(z0), x1)) → c52(INDX(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.28
PROPER(indx(dbls(z0), x1)) → c52(INDX(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.28
PROPER(indx(cons(z0, z1), x1)) → c52(INDX(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(indx(sel(z0, z1), x1)) → c52(INDX(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(indx(indx(z0, z1), x1)) → c52(INDX(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(indx(from(z0), x1)) → c52(INDX(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.28
PROPER(indx(dbl1(z0), x1)) → c52(INDX(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.28
PROPER(indx(s1(z0), x1)) → c52(INDX(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.28
PROPER(indx(sel1(z0, z1), x1)) → c52(INDX(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(indx(quote(z0), x1)) → c52(INDX(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.28
PROPER(indx(x0, 0)) → c52(INDX(proper(x0), ok(0)), PROPER(x0))
419.73/127.28
PROPER(indx(x0, nil)) → c52(INDX(proper(x0), ok(nil)), PROPER(x0))
419.73/127.28
PROPER(indx(x0, 01)) → c52(INDX(proper(x0), ok(01)), PROPER(x0))
419.73/127.28
PROPER(indx(0, x1)) → c52(INDX(ok(0), proper(x1)), PROPER(x1))
419.73/127.28
PROPER(indx(nil, x1)) → c52(INDX(ok(nil), proper(x1)), PROPER(x1))
419.73/127.28
PROPER(indx(01, x1)) → c52(INDX(ok(01), proper(x1)), PROPER(x1))
419.73/127.28
PROPER(from(dbl(z0))) → c53(FROM(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.28
PROPER(from(s(z0))) → c53(FROM(s(proper(z0))), PROPER(s(z0)))
419.73/127.28
PROPER(from(dbls(z0))) → c53(FROM(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.28
PROPER(from(cons(z0, z1))) → c53(FROM(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.28
PROPER(from(sel(z0, z1))) → c53(FROM(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.28
PROPER(from(indx(z0, z1))) → c53(FROM(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.28
PROPER(from(from(z0))) → c53(FROM(from(proper(z0))), PROPER(from(z0)))
419.73/127.28
PROPER(from(dbl1(z0))) → c53(FROM(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.28
PROPER(from(s1(z0))) → c53(FROM(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.28
PROPER(from(sel1(z0, z1))) → c53(FROM(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.28
PROPER(from(quote(z0))) → c53(FROM(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.28
PROPER(from(0)) → c53(FROM(ok(0)))
419.73/127.28
PROPER(from(nil)) → c53(FROM(ok(nil)))
419.73/127.28
PROPER(from(01)) → c53(FROM(ok(01)))
419.73/127.28
PROPER(dbl1(dbl(z0))) → c54(DBL1(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.28
PROPER(dbl1(s(z0))) → c54(DBL1(s(proper(z0))), PROPER(s(z0)))
419.73/127.28
PROPER(dbl1(dbls(z0))) → c54(DBL1(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.28
PROPER(dbl1(cons(z0, z1))) → c54(DBL1(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.28
PROPER(dbl1(sel(z0, z1))) → c54(DBL1(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.28
PROPER(dbl1(indx(z0, z1))) → c54(DBL1(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.28
PROPER(dbl1(from(z0))) → c54(DBL1(from(proper(z0))), PROPER(from(z0)))
419.73/127.28
PROPER(dbl1(dbl1(z0))) → c54(DBL1(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.28
PROPER(dbl1(s1(z0))) → c54(DBL1(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.28
PROPER(dbl1(sel1(z0, z1))) → c54(DBL1(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.28
PROPER(dbl1(quote(z0))) → c54(DBL1(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.28
PROPER(dbl1(0)) → c54(DBL1(ok(0)))
419.73/127.28
PROPER(dbl1(nil)) → c54(DBL1(ok(nil)))
419.73/127.28
PROPER(dbl1(01)) → c54(DBL1(ok(01)))
419.73/127.28
PROPER(s1(dbl(z0))) → c56(S1(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.28
PROPER(s1(s(z0))) → c56(S1(s(proper(z0))), PROPER(s(z0)))
419.73/127.28
PROPER(s1(dbls(z0))) → c56(S1(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.28
PROPER(s1(cons(z0, z1))) → c56(S1(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.28
PROPER(s1(sel(z0, z1))) → c56(S1(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.28
PROPER(s1(indx(z0, z1))) → c56(S1(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.28
PROPER(s1(from(z0))) → c56(S1(from(proper(z0))), PROPER(from(z0)))
419.73/127.28
PROPER(s1(dbl1(z0))) → c56(S1(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.28
PROPER(s1(s1(z0))) → c56(S1(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.28
PROPER(s1(sel1(z0, z1))) → c56(S1(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.28
PROPER(s1(quote(z0))) → c56(S1(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.28
PROPER(s1(0)) → c56(S1(ok(0)))
419.73/127.28
PROPER(s1(nil)) → c56(S1(ok(nil)))
419.73/127.28
PROPER(s1(01)) → c56(S1(ok(01)))
419.73/127.28
PROPER(sel1(x0, dbl(z0))) → c57(SEL1(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.28
PROPER(sel1(x0, s(z0))) → c57(SEL1(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.28
PROPER(sel1(x0, dbls(z0))) → c57(SEL1(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.28
PROPER(sel1(x0, cons(z0, z1))) → c57(SEL1(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.28
PROPER(sel1(x0, sel(z0, z1))) → c57(SEL1(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.28
PROPER(sel1(x0, indx(z0, z1))) → c57(SEL1(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.28
PROPER(sel1(x0, from(z0))) → c57(SEL1(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.28
PROPER(sel1(x0, dbl1(z0))) → c57(SEL1(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.28
PROPER(sel1(x0, s1(z0))) → c57(SEL1(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.28
PROPER(sel1(x0, sel1(z0, z1))) → c57(SEL1(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.28
PROPER(sel1(x0, quote(z0))) → c57(SEL1(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.28
PROPER(sel1(dbl(z0), x1)) → c57(SEL1(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.28
PROPER(sel1(s(z0), x1)) → c57(SEL1(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.28
PROPER(sel1(dbls(z0), x1)) → c57(SEL1(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.28
PROPER(sel1(cons(z0, z1), x1)) → c57(SEL1(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(sel1(sel(z0, z1), x1)) → c57(SEL1(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(sel1(indx(z0, z1), x1)) → c57(SEL1(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(sel1(from(z0), x1)) → c57(SEL1(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.28
PROPER(sel1(dbl1(z0), x1)) → c57(SEL1(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.28
PROPER(sel1(s1(z0), x1)) → c57(SEL1(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.28
PROPER(sel1(sel1(z0, z1), x1)) → c57(SEL1(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(sel1(quote(z0), x1)) → c57(SEL1(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.28
PROPER(sel1(x0, 0)) → c57(SEL1(proper(x0), ok(0)), PROPER(x0))
419.73/127.28
PROPER(sel1(x0, nil)) → c57(SEL1(proper(x0), ok(nil)), PROPER(x0))
419.73/127.28
PROPER(sel1(x0, 01)) → c57(SEL1(proper(x0), ok(01)), PROPER(x0))
419.73/127.28
PROPER(sel1(0, x1)) → c57(SEL1(ok(0), proper(x1)), PROPER(x1))
419.73/127.28
PROPER(sel1(nil, x1)) → c57(SEL1(ok(nil), proper(x1)), PROPER(x1))
419.73/127.28
PROPER(sel1(01, x1)) → c57(SEL1(ok(01), proper(x1)), PROPER(x1))
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
ACTIVE, DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, PROPER, S, CONS, FROM, TOP
Compound Symbols:
c5, c12, c15, c16, c19, c20, c24, c25, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c58, c59, c60, c61, c62, c63, c8, c, c17, c17, c1, c18, c18, c2, c21, c21, c3, c22, c22, c4, c23, c23, c6, c26, c26, c7, c45, c45, c47, c47, c48, c48, c50, c50, c51, c51, c52, c52, c53, c53, c54, c54, c56, c56, c57, c57
419.73/127.28
419.73/127.28
(83) CdtNarrowingProof (BOTH BOUNDS(ID, ID) transformation)
Use narrowing to replace
PROPER(
quote(
z0)) →
c58(
QUOTE(
proper(
z0)),
PROPER(
z0)) by
PROPER(quote(dbl(z0))) → c58(QUOTE(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.28
PROPER(quote(0)) → c58(QUOTE(ok(0)), PROPER(0))
419.73/127.28
PROPER(quote(s(z0))) → c58(QUOTE(s(proper(z0))), PROPER(s(z0)))
419.73/127.28
PROPER(quote(dbls(z0))) → c58(QUOTE(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.28
PROPER(quote(nil)) → c58(QUOTE(ok(nil)), PROPER(nil))
419.73/127.28
PROPER(quote(cons(z0, z1))) → c58(QUOTE(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.28
PROPER(quote(sel(z0, z1))) → c58(QUOTE(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.28
PROPER(quote(indx(z0, z1))) → c58(QUOTE(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.28
PROPER(quote(from(z0))) → c58(QUOTE(from(proper(z0))), PROPER(from(z0)))
419.73/127.28
PROPER(quote(dbl1(z0))) → c58(QUOTE(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.28
PROPER(quote(01)) → c58(QUOTE(ok(01)), PROPER(01))
419.73/127.28
PROPER(quote(s1(z0))) → c58(QUOTE(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.28
PROPER(quote(sel1(z0, z1))) → c58(QUOTE(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.28
PROPER(quote(quote(z0))) → c58(QUOTE(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.28
419.73/127.28
(84) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
419.73/127.28
active(dbl(s(z0))) → mark(s(s(dbl(z0))))
419.73/127.28
active(dbls(nil)) → mark(nil)
419.73/127.28
active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
419.73/127.28
active(sel(0, cons(z0, z1))) → mark(z0)
419.73/127.28
active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
419.73/127.28
active(indx(nil, z0)) → mark(nil)
419.73/127.28
active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
419.73/127.28
active(from(z0)) → mark(cons(z0, from(s(z0))))
419.73/127.28
active(dbl1(0)) → mark(01)
419.73/127.28
active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
419.73/127.28
active(sel1(0, cons(z0, z1))) → mark(z0)
419.73/127.28
active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
419.73/127.28
active(quote(0)) → mark(01)
419.73/127.28
active(quote(s(z0))) → mark(s1(quote(z0)))
419.73/127.28
active(quote(dbl(z0))) → mark(dbl1(z0))
419.73/127.28
active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
419.73/127.28
active(dbl(z0)) → dbl(active(z0))
419.73/127.28
active(dbls(z0)) → dbls(active(z0))
419.73/127.28
active(sel(z0, z1)) → sel(active(z0), z1)
419.73/127.28
active(sel(z0, z1)) → sel(z0, active(z1))
419.73/127.28
active(indx(z0, z1)) → indx(active(z0), z1)
419.73/127.28
active(dbl1(z0)) → dbl1(active(z0))
419.73/127.28
active(s1(z0)) → s1(active(z0))
419.73/127.28
active(sel1(z0, z1)) → sel1(active(z0), z1)
419.73/127.28
active(sel1(z0, z1)) → sel1(z0, active(z1))
419.73/127.28
active(quote(z0)) → quote(active(z0))
419.73/127.28
dbl(mark(z0)) → mark(dbl(z0))
419.73/127.28
dbl(ok(z0)) → ok(dbl(z0))
419.73/127.28
dbls(mark(z0)) → mark(dbls(z0))
419.73/127.28
dbls(ok(z0)) → ok(dbls(z0))
419.73/127.28
sel(mark(z0), z1) → mark(sel(z0, z1))
419.73/127.28
sel(z0, mark(z1)) → mark(sel(z0, z1))
419.73/127.28
sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
419.73/127.28
indx(mark(z0), z1) → mark(indx(z0, z1))
419.73/127.28
indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
419.73/127.28
dbl1(mark(z0)) → mark(dbl1(z0))
419.73/127.28
dbl1(ok(z0)) → ok(dbl1(z0))
419.73/127.28
s1(mark(z0)) → mark(s1(z0))
419.73/127.28
s1(ok(z0)) → ok(s1(z0))
419.73/127.28
sel1(mark(z0), z1) → mark(sel1(z0, z1))
419.73/127.28
sel1(z0, mark(z1)) → mark(sel1(z0, z1))
419.73/127.28
sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
419.73/127.28
quote(mark(z0)) → mark(quote(z0))
419.73/127.28
quote(ok(z0)) → ok(quote(z0))
419.73/127.28
proper(dbl(z0)) → dbl(proper(z0))
419.73/127.28
proper(0) → ok(0)
419.73/127.28
proper(s(z0)) → s(proper(z0))
419.73/127.28
proper(dbls(z0)) → dbls(proper(z0))
419.73/127.28
proper(nil) → ok(nil)
419.73/127.28
proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
419.73/127.28
proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
419.73/127.28
proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
419.73/127.28
proper(from(z0)) → from(proper(z0))
419.73/127.28
proper(dbl1(z0)) → dbl1(proper(z0))
419.73/127.28
proper(01) → ok(01)
419.73/127.28
proper(s1(z0)) → s1(proper(z0))
419.73/127.28
proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
419.73/127.28
proper(quote(z0)) → quote(proper(z0))
419.73/127.28
s(ok(z0)) → ok(s(z0))
419.73/127.28
cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
419.73/127.28
from(ok(z0)) → ok(from(z0))
419.73/127.28
top(mark(z0)) → top(proper(z0))
419.73/127.28
top(ok(z0)) → top(active(z0))
Tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.73/127.28
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.73/127.28
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.73/127.28
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.73/127.28
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.73/127.28
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.73/127.28
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.73/127.28
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.73/127.28
DBL(mark(z0)) → c27(DBL(z0))
419.73/127.28
DBL(ok(z0)) → c28(DBL(z0))
419.73/127.28
DBLS(mark(z0)) → c29(DBLS(z0))
419.73/127.28
DBLS(ok(z0)) → c30(DBLS(z0))
419.73/127.28
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.73/127.28
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.73/127.28
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.73/127.28
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.73/127.28
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.73/127.28
DBL1(mark(z0)) → c36(DBL1(z0))
419.73/127.28
DBL1(ok(z0)) → c37(DBL1(z0))
419.73/127.28
S1(mark(z0)) → c38(S1(z0))
419.73/127.28
S1(ok(z0)) → c39(S1(z0))
419.73/127.28
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.73/127.28
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.73/127.28
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.73/127.28
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.73/127.28
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.73/127.28
S(ok(z0)) → c59(S(z0))
419.73/127.28
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.73/127.28
FROM(ok(z0)) → c61(FROM(z0))
419.73/127.28
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
419.73/127.28
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.73/127.28
ACTIVE(from(z0)) → c8(S(z0))
419.73/127.28
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.73/127.28
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.73/127.28
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.73/127.28
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.73/127.28
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.73/127.28
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.73/127.28
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.73/127.28
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.73/127.28
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.73/127.28
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.73/127.28
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.73/127.28
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.73/127.28
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.73/127.28
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.73/127.28
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.28
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.28
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.28
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.28
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.28
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.28
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.28
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.28
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.28
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.28
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.28
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.28
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.28
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.28
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.28
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.28
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.73/127.28
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.73/127.28
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.73/127.28
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.73/127.28
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.73/127.28
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.28
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.28
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.28
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.28
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.28
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.28
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.28
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.28
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.28
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.28
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.28
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.28
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.28
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.28
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.28
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.28
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.73/127.28
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.73/127.28
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.73/127.28
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.28
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.28
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.73/127.28
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.73/127.28
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.28
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.28
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.73/127.28
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.73/127.28
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.28
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.28
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.28
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.28
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.73/127.28
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.73/127.28
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.73/127.28
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.73/127.28
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.73/127.28
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.73/127.28
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.73/127.28
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.73/127.28
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.73/127.28
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.73/127.28
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.73/127.28
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.73/127.28
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.73/127.28
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.73/127.28
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.73/127.28
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.73/127.28
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.73/127.28
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.28
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.28
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.28
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.28
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.73/127.28
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.73/127.28
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.73/127.28
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.73/127.28
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.73/127.28
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.28
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.73/127.28
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.73/127.28
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.28
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.28
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.28
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.28
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.28
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.28
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.28
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.28
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.28
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.28
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.28
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.28
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.28
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.28
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.28
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.28
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.73/127.28
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.73/127.28
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.28
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.73/127.28
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.73/127.28
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.73/127.28
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.73/127.28
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.73/127.28
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.28
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.73/127.28
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.28
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.73/127.28
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.28
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.73/127.28
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.73/127.28
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.28
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.73/127.28
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.28
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.28
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.73/127.28
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.73/127.28
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.73/127.28
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.28
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.28
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.28
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.28
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.28
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.28
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.28
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.28
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.28
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.28
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.28
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.28
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.28
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.28
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.28
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.28
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.28
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.73/127.28
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.73/127.28
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.73/127.28
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.73/127.28
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.73/127.28
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.73/127.28
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.28
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.73/127.28
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.28
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.28
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.73/127.28
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.73/127.28
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.73/127.28
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.73/127.28
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.28
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.28
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.28
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.28
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.28
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.28
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.28
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.28
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.28
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.28
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.28
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.28
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.28
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.28
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.28
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.28
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.73/127.28
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.73/127.28
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.28
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.73/127.28
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.73/127.28
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.73/127.28
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.73/127.28
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.73/127.28
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.73/127.28
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.73/127.28
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.73/127.28
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.28
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.73/127.28
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.28
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.73/127.28
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.73/127.28
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.73/127.28
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.28
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.73/127.28
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.28
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.73/127.28
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.73/127.28
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.28
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.73/127.28
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.28
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.28
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.73/127.28
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.73/127.28
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.73/127.28
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.73/127.28
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.73/127.28
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.28
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.28
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.73/127.28
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.28
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.28
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.28
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.28
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.73/127.28
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.28
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.28
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.28
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.28
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.73/127.28
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.73/127.28
PROPER(dbl(01)) → c45(DBL(ok(01)))
419.73/127.28
PROPER(s(dbl(z0))) → c47(S(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.28
PROPER(s(s(z0))) → c47(S(s(proper(z0))), PROPER(s(z0)))
419.73/127.28
PROPER(s(dbls(z0))) → c47(S(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.28
PROPER(s(cons(z0, z1))) → c47(S(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.28
PROPER(s(sel(z0, z1))) → c47(S(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.28
PROPER(s(indx(z0, z1))) → c47(S(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.28
PROPER(s(from(z0))) → c47(S(from(proper(z0))), PROPER(from(z0)))
419.73/127.28
PROPER(s(dbl1(z0))) → c47(S(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.28
PROPER(s(s1(z0))) → c47(S(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.28
PROPER(s(sel1(z0, z1))) → c47(S(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.28
PROPER(s(quote(z0))) → c47(S(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.28
PROPER(s(0)) → c47(S(ok(0)))
419.73/127.28
PROPER(s(nil)) → c47(S(ok(nil)))
419.73/127.28
PROPER(s(01)) → c47(S(ok(01)))
419.73/127.28
PROPER(dbls(dbl(z0))) → c48(DBLS(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.28
PROPER(dbls(s(z0))) → c48(DBLS(s(proper(z0))), PROPER(s(z0)))
419.73/127.28
PROPER(dbls(dbls(z0))) → c48(DBLS(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.28
PROPER(dbls(cons(z0, z1))) → c48(DBLS(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.28
PROPER(dbls(sel(z0, z1))) → c48(DBLS(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.28
PROPER(dbls(indx(z0, z1))) → c48(DBLS(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.28
PROPER(dbls(from(z0))) → c48(DBLS(from(proper(z0))), PROPER(from(z0)))
419.73/127.28
PROPER(dbls(dbl1(z0))) → c48(DBLS(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.28
PROPER(dbls(s1(z0))) → c48(DBLS(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.28
PROPER(dbls(sel1(z0, z1))) → c48(DBLS(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.28
PROPER(dbls(quote(z0))) → c48(DBLS(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.28
PROPER(dbls(0)) → c48(DBLS(ok(0)))
419.73/127.28
PROPER(dbls(nil)) → c48(DBLS(ok(nil)))
419.73/127.28
PROPER(dbls(01)) → c48(DBLS(ok(01)))
419.73/127.28
PROPER(cons(x0, dbl(z0))) → c50(CONS(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.28
PROPER(cons(x0, s(z0))) → c50(CONS(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.28
PROPER(cons(x0, dbls(z0))) → c50(CONS(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.28
PROPER(cons(x0, cons(z0, z1))) → c50(CONS(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.28
PROPER(cons(x0, sel(z0, z1))) → c50(CONS(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.28
PROPER(cons(x0, indx(z0, z1))) → c50(CONS(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.28
PROPER(cons(x0, from(z0))) → c50(CONS(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.28
PROPER(cons(x0, dbl1(z0))) → c50(CONS(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.28
PROPER(cons(x0, s1(z0))) → c50(CONS(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.28
PROPER(cons(x0, sel1(z0, z1))) → c50(CONS(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.28
PROPER(cons(x0, quote(z0))) → c50(CONS(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.28
PROPER(cons(dbl(z0), x1)) → c50(CONS(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.28
PROPER(cons(s(z0), x1)) → c50(CONS(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.28
PROPER(cons(dbls(z0), x1)) → c50(CONS(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.28
PROPER(cons(cons(z0, z1), x1)) → c50(CONS(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(cons(sel(z0, z1), x1)) → c50(CONS(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(cons(indx(z0, z1), x1)) → c50(CONS(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(cons(from(z0), x1)) → c50(CONS(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.28
PROPER(cons(dbl1(z0), x1)) → c50(CONS(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.28
PROPER(cons(s1(z0), x1)) → c50(CONS(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.28
PROPER(cons(sel1(z0, z1), x1)) → c50(CONS(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(cons(quote(z0), x1)) → c50(CONS(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.28
PROPER(cons(x0, 0)) → c50(CONS(proper(x0), ok(0)), PROPER(x0))
419.73/127.28
PROPER(cons(x0, nil)) → c50(CONS(proper(x0), ok(nil)), PROPER(x0))
419.73/127.28
PROPER(cons(x0, 01)) → c50(CONS(proper(x0), ok(01)), PROPER(x0))
419.73/127.28
PROPER(cons(0, x1)) → c50(CONS(ok(0), proper(x1)), PROPER(x1))
419.73/127.28
PROPER(cons(nil, x1)) → c50(CONS(ok(nil), proper(x1)), PROPER(x1))
419.73/127.28
PROPER(cons(01, x1)) → c50(CONS(ok(01), proper(x1)), PROPER(x1))
419.73/127.28
PROPER(sel(x0, dbl(z0))) → c51(SEL(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.28
PROPER(sel(x0, s(z0))) → c51(SEL(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.28
PROPER(sel(x0, dbls(z0))) → c51(SEL(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.28
PROPER(sel(x0, cons(z0, z1))) → c51(SEL(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.28
PROPER(sel(x0, sel(z0, z1))) → c51(SEL(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.28
PROPER(sel(x0, indx(z0, z1))) → c51(SEL(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.28
PROPER(sel(x0, from(z0))) → c51(SEL(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.28
PROPER(sel(x0, dbl1(z0))) → c51(SEL(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.28
PROPER(sel(x0, s1(z0))) → c51(SEL(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.28
PROPER(sel(x0, sel1(z0, z1))) → c51(SEL(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.28
PROPER(sel(x0, quote(z0))) → c51(SEL(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.28
PROPER(sel(dbl(z0), x1)) → c51(SEL(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.28
PROPER(sel(s(z0), x1)) → c51(SEL(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.28
PROPER(sel(dbls(z0), x1)) → c51(SEL(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.28
PROPER(sel(cons(z0, z1), x1)) → c51(SEL(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(sel(sel(z0, z1), x1)) → c51(SEL(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(sel(indx(z0, z1), x1)) → c51(SEL(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(sel(from(z0), x1)) → c51(SEL(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.28
PROPER(sel(dbl1(z0), x1)) → c51(SEL(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.28
PROPER(sel(s1(z0), x1)) → c51(SEL(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.28
PROPER(sel(sel1(z0, z1), x1)) → c51(SEL(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(sel(quote(z0), x1)) → c51(SEL(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.28
PROPER(sel(x0, 0)) → c51(SEL(proper(x0), ok(0)), PROPER(x0))
419.73/127.28
PROPER(sel(x0, nil)) → c51(SEL(proper(x0), ok(nil)), PROPER(x0))
419.73/127.28
PROPER(sel(x0, 01)) → c51(SEL(proper(x0), ok(01)), PROPER(x0))
419.73/127.28
PROPER(sel(0, x1)) → c51(SEL(ok(0), proper(x1)), PROPER(x1))
419.73/127.28
PROPER(sel(nil, x1)) → c51(SEL(ok(nil), proper(x1)), PROPER(x1))
419.73/127.28
PROPER(sel(01, x1)) → c51(SEL(ok(01), proper(x1)), PROPER(x1))
419.73/127.28
PROPER(indx(x0, dbl(z0))) → c52(INDX(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.28
PROPER(indx(x0, s(z0))) → c52(INDX(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.28
PROPER(indx(x0, dbls(z0))) → c52(INDX(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.28
PROPER(indx(x0, cons(z0, z1))) → c52(INDX(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.28
PROPER(indx(x0, sel(z0, z1))) → c52(INDX(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.28
PROPER(indx(x0, indx(z0, z1))) → c52(INDX(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.28
PROPER(indx(x0, from(z0))) → c52(INDX(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.28
PROPER(indx(x0, dbl1(z0))) → c52(INDX(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.28
PROPER(indx(x0, s1(z0))) → c52(INDX(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.28
PROPER(indx(x0, sel1(z0, z1))) → c52(INDX(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.28
PROPER(indx(x0, quote(z0))) → c52(INDX(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.28
PROPER(indx(dbl(z0), x1)) → c52(INDX(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.28
PROPER(indx(s(z0), x1)) → c52(INDX(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.28
PROPER(indx(dbls(z0), x1)) → c52(INDX(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.28
PROPER(indx(cons(z0, z1), x1)) → c52(INDX(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(indx(sel(z0, z1), x1)) → c52(INDX(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(indx(indx(z0, z1), x1)) → c52(INDX(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(indx(from(z0), x1)) → c52(INDX(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.28
PROPER(indx(dbl1(z0), x1)) → c52(INDX(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.28
PROPER(indx(s1(z0), x1)) → c52(INDX(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.28
PROPER(indx(sel1(z0, z1), x1)) → c52(INDX(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(indx(quote(z0), x1)) → c52(INDX(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.28
PROPER(indx(x0, 0)) → c52(INDX(proper(x0), ok(0)), PROPER(x0))
419.73/127.28
PROPER(indx(x0, nil)) → c52(INDX(proper(x0), ok(nil)), PROPER(x0))
419.73/127.28
PROPER(indx(x0, 01)) → c52(INDX(proper(x0), ok(01)), PROPER(x0))
419.73/127.28
PROPER(indx(0, x1)) → c52(INDX(ok(0), proper(x1)), PROPER(x1))
419.73/127.28
PROPER(indx(nil, x1)) → c52(INDX(ok(nil), proper(x1)), PROPER(x1))
419.73/127.28
PROPER(indx(01, x1)) → c52(INDX(ok(01), proper(x1)), PROPER(x1))
419.73/127.28
PROPER(from(dbl(z0))) → c53(FROM(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.28
PROPER(from(s(z0))) → c53(FROM(s(proper(z0))), PROPER(s(z0)))
419.73/127.28
PROPER(from(dbls(z0))) → c53(FROM(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.28
PROPER(from(cons(z0, z1))) → c53(FROM(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.28
PROPER(from(sel(z0, z1))) → c53(FROM(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.28
PROPER(from(indx(z0, z1))) → c53(FROM(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.28
PROPER(from(from(z0))) → c53(FROM(from(proper(z0))), PROPER(from(z0)))
419.73/127.28
PROPER(from(dbl1(z0))) → c53(FROM(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.28
PROPER(from(s1(z0))) → c53(FROM(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.28
PROPER(from(sel1(z0, z1))) → c53(FROM(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.28
PROPER(from(quote(z0))) → c53(FROM(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.28
PROPER(from(0)) → c53(FROM(ok(0)))
419.73/127.28
PROPER(from(nil)) → c53(FROM(ok(nil)))
419.73/127.28
PROPER(from(01)) → c53(FROM(ok(01)))
419.73/127.28
PROPER(dbl1(dbl(z0))) → c54(DBL1(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.28
PROPER(dbl1(s(z0))) → c54(DBL1(s(proper(z0))), PROPER(s(z0)))
419.73/127.28
PROPER(dbl1(dbls(z0))) → c54(DBL1(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.28
PROPER(dbl1(cons(z0, z1))) → c54(DBL1(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.28
PROPER(dbl1(sel(z0, z1))) → c54(DBL1(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.28
PROPER(dbl1(indx(z0, z1))) → c54(DBL1(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.28
PROPER(dbl1(from(z0))) → c54(DBL1(from(proper(z0))), PROPER(from(z0)))
419.73/127.28
PROPER(dbl1(dbl1(z0))) → c54(DBL1(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.28
PROPER(dbl1(s1(z0))) → c54(DBL1(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.28
PROPER(dbl1(sel1(z0, z1))) → c54(DBL1(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.28
PROPER(dbl1(quote(z0))) → c54(DBL1(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.28
PROPER(dbl1(0)) → c54(DBL1(ok(0)))
419.73/127.28
PROPER(dbl1(nil)) → c54(DBL1(ok(nil)))
419.73/127.28
PROPER(dbl1(01)) → c54(DBL1(ok(01)))
419.73/127.28
PROPER(s1(dbl(z0))) → c56(S1(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.28
PROPER(s1(s(z0))) → c56(S1(s(proper(z0))), PROPER(s(z0)))
419.73/127.28
PROPER(s1(dbls(z0))) → c56(S1(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.28
PROPER(s1(cons(z0, z1))) → c56(S1(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.28
PROPER(s1(sel(z0, z1))) → c56(S1(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.28
PROPER(s1(indx(z0, z1))) → c56(S1(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.28
PROPER(s1(from(z0))) → c56(S1(from(proper(z0))), PROPER(from(z0)))
419.73/127.28
PROPER(s1(dbl1(z0))) → c56(S1(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.28
PROPER(s1(s1(z0))) → c56(S1(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.28
PROPER(s1(sel1(z0, z1))) → c56(S1(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.28
PROPER(s1(quote(z0))) → c56(S1(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.28
PROPER(s1(0)) → c56(S1(ok(0)))
419.73/127.28
PROPER(s1(nil)) → c56(S1(ok(nil)))
419.73/127.28
PROPER(s1(01)) → c56(S1(ok(01)))
419.73/127.28
PROPER(sel1(x0, dbl(z0))) → c57(SEL1(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.28
PROPER(sel1(x0, s(z0))) → c57(SEL1(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.28
PROPER(sel1(x0, dbls(z0))) → c57(SEL1(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.28
PROPER(sel1(x0, cons(z0, z1))) → c57(SEL1(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.28
PROPER(sel1(x0, sel(z0, z1))) → c57(SEL1(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.28
PROPER(sel1(x0, indx(z0, z1))) → c57(SEL1(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.28
PROPER(sel1(x0, from(z0))) → c57(SEL1(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.28
PROPER(sel1(x0, dbl1(z0))) → c57(SEL1(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.28
PROPER(sel1(x0, s1(z0))) → c57(SEL1(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.28
PROPER(sel1(x0, sel1(z0, z1))) → c57(SEL1(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.28
PROPER(sel1(x0, quote(z0))) → c57(SEL1(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.28
PROPER(sel1(dbl(z0), x1)) → c57(SEL1(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.28
PROPER(sel1(s(z0), x1)) → c57(SEL1(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.28
PROPER(sel1(dbls(z0), x1)) → c57(SEL1(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.28
PROPER(sel1(cons(z0, z1), x1)) → c57(SEL1(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(sel1(sel(z0, z1), x1)) → c57(SEL1(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(sel1(indx(z0, z1), x1)) → c57(SEL1(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(sel1(from(z0), x1)) → c57(SEL1(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.28
PROPER(sel1(dbl1(z0), x1)) → c57(SEL1(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.28
PROPER(sel1(s1(z0), x1)) → c57(SEL1(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.28
PROPER(sel1(sel1(z0, z1), x1)) → c57(SEL1(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(sel1(quote(z0), x1)) → c57(SEL1(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.28
PROPER(sel1(x0, 0)) → c57(SEL1(proper(x0), ok(0)), PROPER(x0))
419.73/127.28
PROPER(sel1(x0, nil)) → c57(SEL1(proper(x0), ok(nil)), PROPER(x0))
419.73/127.28
PROPER(sel1(x0, 01)) → c57(SEL1(proper(x0), ok(01)), PROPER(x0))
419.73/127.28
PROPER(sel1(0, x1)) → c57(SEL1(ok(0), proper(x1)), PROPER(x1))
419.73/127.28
PROPER(sel1(nil, x1)) → c57(SEL1(ok(nil), proper(x1)), PROPER(x1))
419.73/127.28
PROPER(sel1(01, x1)) → c57(SEL1(ok(01), proper(x1)), PROPER(x1))
419.73/127.28
PROPER(quote(dbl(z0))) → c58(QUOTE(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.28
PROPER(quote(0)) → c58(QUOTE(ok(0)), PROPER(0))
419.73/127.28
PROPER(quote(s(z0))) → c58(QUOTE(s(proper(z0))), PROPER(s(z0)))
419.73/127.28
PROPER(quote(dbls(z0))) → c58(QUOTE(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.28
PROPER(quote(nil)) → c58(QUOTE(ok(nil)), PROPER(nil))
419.73/127.28
PROPER(quote(cons(z0, z1))) → c58(QUOTE(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.28
PROPER(quote(sel(z0, z1))) → c58(QUOTE(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.28
PROPER(quote(indx(z0, z1))) → c58(QUOTE(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.28
PROPER(quote(from(z0))) → c58(QUOTE(from(proper(z0))), PROPER(from(z0)))
419.73/127.28
PROPER(quote(dbl1(z0))) → c58(QUOTE(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.28
PROPER(quote(01)) → c58(QUOTE(ok(01)), PROPER(01))
419.73/127.28
PROPER(quote(s1(z0))) → c58(QUOTE(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.28
PROPER(quote(sel1(z0, z1))) → c58(QUOTE(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.28
PROPER(quote(quote(z0))) → c58(QUOTE(quote(proper(z0))), PROPER(quote(z0)))
S tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.73/127.28
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.73/127.28
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.73/127.28
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.73/127.28
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.73/127.28
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.73/127.28
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.73/127.28
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.73/127.28
DBL(mark(z0)) → c27(DBL(z0))
419.73/127.28
DBL(ok(z0)) → c28(DBL(z0))
419.73/127.28
DBLS(mark(z0)) → c29(DBLS(z0))
419.73/127.28
DBLS(ok(z0)) → c30(DBLS(z0))
419.73/127.28
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.73/127.28
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.73/127.28
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.73/127.28
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.73/127.28
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.73/127.28
DBL1(mark(z0)) → c36(DBL1(z0))
419.73/127.28
DBL1(ok(z0)) → c37(DBL1(z0))
419.73/127.28
S1(mark(z0)) → c38(S1(z0))
419.73/127.28
S1(ok(z0)) → c39(S1(z0))
419.73/127.28
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.73/127.28
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.73/127.28
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.73/127.28
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.73/127.28
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.73/127.28
S(ok(z0)) → c59(S(z0))
419.73/127.28
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.73/127.28
FROM(ok(z0)) → c61(FROM(z0))
419.73/127.28
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
419.73/127.28
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.73/127.28
ACTIVE(from(z0)) → c8(S(z0))
419.73/127.28
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.73/127.28
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.73/127.28
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.73/127.28
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.73/127.28
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.73/127.28
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.73/127.28
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.73/127.28
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.73/127.28
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.73/127.28
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.73/127.28
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.73/127.28
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.73/127.28
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.73/127.28
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.73/127.28
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.28
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.28
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.28
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.28
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.28
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.28
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.28
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.28
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.28
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.28
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.28
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.28
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.28
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.28
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.28
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.28
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.73/127.28
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.73/127.28
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.73/127.28
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.73/127.28
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.73/127.28
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.28
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.28
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.28
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.28
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.28
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.28
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.28
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.28
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.28
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.28
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.28
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.28
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.28
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.28
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.28
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.28
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.73/127.28
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.73/127.28
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.73/127.28
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.28
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.28
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.73/127.28
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.73/127.28
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.28
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.28
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.73/127.28
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.73/127.28
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.28
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.28
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.28
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.28
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.73/127.28
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.73/127.28
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.73/127.28
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.73/127.28
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.73/127.28
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.73/127.28
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.73/127.28
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.73/127.28
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.73/127.28
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.73/127.28
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.73/127.28
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.73/127.28
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.73/127.28
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.73/127.28
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.73/127.28
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.73/127.28
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.73/127.28
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.28
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.28
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.28
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.28
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.73/127.28
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.73/127.28
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.73/127.28
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.73/127.28
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.73/127.28
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.28
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.73/127.28
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.73/127.28
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.28
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.28
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.28
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.28
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.28
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.28
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.28
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.28
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.28
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.28
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.28
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.28
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.28
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.28
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.28
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.28
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.73/127.28
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.73/127.28
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.28
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.73/127.28
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.73/127.28
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.73/127.28
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.73/127.28
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.73/127.28
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.28
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.73/127.28
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.28
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.73/127.28
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.28
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.73/127.28
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.73/127.28
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.28
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.73/127.28
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.28
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.28
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.73/127.28
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.73/127.28
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.73/127.28
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.28
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.28
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.28
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.28
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.28
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.28
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.28
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.28
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.28
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.28
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.28
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.28
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.28
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.28
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.28
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.28
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.28
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.73/127.28
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.73/127.28
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.73/127.28
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.73/127.28
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.73/127.28
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.73/127.28
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.28
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.73/127.28
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.28
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.28
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.73/127.28
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.73/127.28
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.73/127.28
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.73/127.28
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.28
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.28
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.28
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.28
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.28
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.28
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.28
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.28
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.28
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.28
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.28
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.28
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.28
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.28
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.28
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.28
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.73/127.28
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.73/127.28
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.28
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.73/127.28
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.73/127.28
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.73/127.28
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.73/127.28
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.73/127.28
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.73/127.28
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.73/127.28
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.73/127.28
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.28
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.73/127.28
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.28
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.73/127.28
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.73/127.28
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.73/127.28
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.28
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.73/127.28
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.28
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.73/127.28
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.73/127.28
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.28
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.73/127.28
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.28
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.28
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.73/127.28
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.73/127.28
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.73/127.28
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.73/127.28
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.73/127.28
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.28
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.28
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.73/127.28
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.28
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.28
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.28
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.28
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.73/127.28
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.28
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.28
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.28
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.28
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.73/127.28
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.73/127.28
PROPER(dbl(01)) → c45(DBL(ok(01)))
419.73/127.28
PROPER(s(dbl(z0))) → c47(S(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.28
PROPER(s(s(z0))) → c47(S(s(proper(z0))), PROPER(s(z0)))
419.73/127.28
PROPER(s(dbls(z0))) → c47(S(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.28
PROPER(s(cons(z0, z1))) → c47(S(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.28
PROPER(s(sel(z0, z1))) → c47(S(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.28
PROPER(s(indx(z0, z1))) → c47(S(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.28
PROPER(s(from(z0))) → c47(S(from(proper(z0))), PROPER(from(z0)))
419.73/127.28
PROPER(s(dbl1(z0))) → c47(S(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.28
PROPER(s(s1(z0))) → c47(S(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.28
PROPER(s(sel1(z0, z1))) → c47(S(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.28
PROPER(s(quote(z0))) → c47(S(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.28
PROPER(s(0)) → c47(S(ok(0)))
419.73/127.28
PROPER(s(nil)) → c47(S(ok(nil)))
419.73/127.28
PROPER(s(01)) → c47(S(ok(01)))
419.73/127.28
PROPER(dbls(dbl(z0))) → c48(DBLS(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.28
PROPER(dbls(s(z0))) → c48(DBLS(s(proper(z0))), PROPER(s(z0)))
419.73/127.28
PROPER(dbls(dbls(z0))) → c48(DBLS(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.28
PROPER(dbls(cons(z0, z1))) → c48(DBLS(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.28
PROPER(dbls(sel(z0, z1))) → c48(DBLS(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.28
PROPER(dbls(indx(z0, z1))) → c48(DBLS(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.28
PROPER(dbls(from(z0))) → c48(DBLS(from(proper(z0))), PROPER(from(z0)))
419.73/127.28
PROPER(dbls(dbl1(z0))) → c48(DBLS(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.28
PROPER(dbls(s1(z0))) → c48(DBLS(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.28
PROPER(dbls(sel1(z0, z1))) → c48(DBLS(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.28
PROPER(dbls(quote(z0))) → c48(DBLS(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.28
PROPER(dbls(0)) → c48(DBLS(ok(0)))
419.73/127.28
PROPER(dbls(nil)) → c48(DBLS(ok(nil)))
419.73/127.28
PROPER(dbls(01)) → c48(DBLS(ok(01)))
419.73/127.28
PROPER(cons(x0, dbl(z0))) → c50(CONS(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.28
PROPER(cons(x0, s(z0))) → c50(CONS(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.28
PROPER(cons(x0, dbls(z0))) → c50(CONS(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.28
PROPER(cons(x0, cons(z0, z1))) → c50(CONS(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.28
PROPER(cons(x0, sel(z0, z1))) → c50(CONS(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.28
PROPER(cons(x0, indx(z0, z1))) → c50(CONS(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.28
PROPER(cons(x0, from(z0))) → c50(CONS(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.28
PROPER(cons(x0, dbl1(z0))) → c50(CONS(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.28
PROPER(cons(x0, s1(z0))) → c50(CONS(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.28
PROPER(cons(x0, sel1(z0, z1))) → c50(CONS(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.28
PROPER(cons(x0, quote(z0))) → c50(CONS(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.28
PROPER(cons(dbl(z0), x1)) → c50(CONS(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.28
PROPER(cons(s(z0), x1)) → c50(CONS(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.28
PROPER(cons(dbls(z0), x1)) → c50(CONS(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.28
PROPER(cons(cons(z0, z1), x1)) → c50(CONS(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(cons(sel(z0, z1), x1)) → c50(CONS(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(cons(indx(z0, z1), x1)) → c50(CONS(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(cons(from(z0), x1)) → c50(CONS(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.28
PROPER(cons(dbl1(z0), x1)) → c50(CONS(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.28
PROPER(cons(s1(z0), x1)) → c50(CONS(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.28
PROPER(cons(sel1(z0, z1), x1)) → c50(CONS(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(cons(quote(z0), x1)) → c50(CONS(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.28
PROPER(cons(x0, 0)) → c50(CONS(proper(x0), ok(0)), PROPER(x0))
419.73/127.28
PROPER(cons(x0, nil)) → c50(CONS(proper(x0), ok(nil)), PROPER(x0))
419.73/127.28
PROPER(cons(x0, 01)) → c50(CONS(proper(x0), ok(01)), PROPER(x0))
419.73/127.28
PROPER(cons(0, x1)) → c50(CONS(ok(0), proper(x1)), PROPER(x1))
419.73/127.28
PROPER(cons(nil, x1)) → c50(CONS(ok(nil), proper(x1)), PROPER(x1))
419.73/127.28
PROPER(cons(01, x1)) → c50(CONS(ok(01), proper(x1)), PROPER(x1))
419.73/127.28
PROPER(sel(x0, dbl(z0))) → c51(SEL(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.28
PROPER(sel(x0, s(z0))) → c51(SEL(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.28
PROPER(sel(x0, dbls(z0))) → c51(SEL(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.28
PROPER(sel(x0, cons(z0, z1))) → c51(SEL(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.28
PROPER(sel(x0, sel(z0, z1))) → c51(SEL(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.28
PROPER(sel(x0, indx(z0, z1))) → c51(SEL(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.28
PROPER(sel(x0, from(z0))) → c51(SEL(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.28
PROPER(sel(x0, dbl1(z0))) → c51(SEL(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.28
PROPER(sel(x0, s1(z0))) → c51(SEL(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.28
PROPER(sel(x0, sel1(z0, z1))) → c51(SEL(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.28
PROPER(sel(x0, quote(z0))) → c51(SEL(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.28
PROPER(sel(dbl(z0), x1)) → c51(SEL(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.28
PROPER(sel(s(z0), x1)) → c51(SEL(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.28
PROPER(sel(dbls(z0), x1)) → c51(SEL(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.28
PROPER(sel(cons(z0, z1), x1)) → c51(SEL(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(sel(sel(z0, z1), x1)) → c51(SEL(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(sel(indx(z0, z1), x1)) → c51(SEL(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(sel(from(z0), x1)) → c51(SEL(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.28
PROPER(sel(dbl1(z0), x1)) → c51(SEL(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.28
PROPER(sel(s1(z0), x1)) → c51(SEL(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.28
PROPER(sel(sel1(z0, z1), x1)) → c51(SEL(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(sel(quote(z0), x1)) → c51(SEL(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.28
PROPER(sel(x0, 0)) → c51(SEL(proper(x0), ok(0)), PROPER(x0))
419.73/127.28
PROPER(sel(x0, nil)) → c51(SEL(proper(x0), ok(nil)), PROPER(x0))
419.73/127.28
PROPER(sel(x0, 01)) → c51(SEL(proper(x0), ok(01)), PROPER(x0))
419.73/127.28
PROPER(sel(0, x1)) → c51(SEL(ok(0), proper(x1)), PROPER(x1))
419.73/127.28
PROPER(sel(nil, x1)) → c51(SEL(ok(nil), proper(x1)), PROPER(x1))
419.73/127.28
PROPER(sel(01, x1)) → c51(SEL(ok(01), proper(x1)), PROPER(x1))
419.73/127.28
PROPER(indx(x0, dbl(z0))) → c52(INDX(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.28
PROPER(indx(x0, s(z0))) → c52(INDX(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.28
PROPER(indx(x0, dbls(z0))) → c52(INDX(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.28
PROPER(indx(x0, cons(z0, z1))) → c52(INDX(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.28
PROPER(indx(x0, sel(z0, z1))) → c52(INDX(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.28
PROPER(indx(x0, indx(z0, z1))) → c52(INDX(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.28
PROPER(indx(x0, from(z0))) → c52(INDX(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.28
PROPER(indx(x0, dbl1(z0))) → c52(INDX(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.28
PROPER(indx(x0, s1(z0))) → c52(INDX(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.28
PROPER(indx(x0, sel1(z0, z1))) → c52(INDX(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.28
PROPER(indx(x0, quote(z0))) → c52(INDX(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.28
PROPER(indx(dbl(z0), x1)) → c52(INDX(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.28
PROPER(indx(s(z0), x1)) → c52(INDX(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.28
PROPER(indx(dbls(z0), x1)) → c52(INDX(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.28
PROPER(indx(cons(z0, z1), x1)) → c52(INDX(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(indx(sel(z0, z1), x1)) → c52(INDX(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(indx(indx(z0, z1), x1)) → c52(INDX(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(indx(from(z0), x1)) → c52(INDX(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.28
PROPER(indx(dbl1(z0), x1)) → c52(INDX(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.28
PROPER(indx(s1(z0), x1)) → c52(INDX(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.28
PROPER(indx(sel1(z0, z1), x1)) → c52(INDX(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(indx(quote(z0), x1)) → c52(INDX(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.28
PROPER(indx(x0, 0)) → c52(INDX(proper(x0), ok(0)), PROPER(x0))
419.73/127.28
PROPER(indx(x0, nil)) → c52(INDX(proper(x0), ok(nil)), PROPER(x0))
419.73/127.28
PROPER(indx(x0, 01)) → c52(INDX(proper(x0), ok(01)), PROPER(x0))
419.73/127.28
PROPER(indx(0, x1)) → c52(INDX(ok(0), proper(x1)), PROPER(x1))
419.73/127.28
PROPER(indx(nil, x1)) → c52(INDX(ok(nil), proper(x1)), PROPER(x1))
419.73/127.28
PROPER(indx(01, x1)) → c52(INDX(ok(01), proper(x1)), PROPER(x1))
419.73/127.28
PROPER(from(dbl(z0))) → c53(FROM(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.28
PROPER(from(s(z0))) → c53(FROM(s(proper(z0))), PROPER(s(z0)))
419.73/127.28
PROPER(from(dbls(z0))) → c53(FROM(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.28
PROPER(from(cons(z0, z1))) → c53(FROM(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.28
PROPER(from(sel(z0, z1))) → c53(FROM(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.28
PROPER(from(indx(z0, z1))) → c53(FROM(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.28
PROPER(from(from(z0))) → c53(FROM(from(proper(z0))), PROPER(from(z0)))
419.73/127.28
PROPER(from(dbl1(z0))) → c53(FROM(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.28
PROPER(from(s1(z0))) → c53(FROM(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.28
PROPER(from(sel1(z0, z1))) → c53(FROM(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.28
PROPER(from(quote(z0))) → c53(FROM(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.28
PROPER(from(0)) → c53(FROM(ok(0)))
419.73/127.28
PROPER(from(nil)) → c53(FROM(ok(nil)))
419.73/127.28
PROPER(from(01)) → c53(FROM(ok(01)))
419.73/127.28
PROPER(dbl1(dbl(z0))) → c54(DBL1(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.28
PROPER(dbl1(s(z0))) → c54(DBL1(s(proper(z0))), PROPER(s(z0)))
419.73/127.28
PROPER(dbl1(dbls(z0))) → c54(DBL1(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.28
PROPER(dbl1(cons(z0, z1))) → c54(DBL1(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.28
PROPER(dbl1(sel(z0, z1))) → c54(DBL1(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.28
PROPER(dbl1(indx(z0, z1))) → c54(DBL1(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.28
PROPER(dbl1(from(z0))) → c54(DBL1(from(proper(z0))), PROPER(from(z0)))
419.73/127.28
PROPER(dbl1(dbl1(z0))) → c54(DBL1(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.28
PROPER(dbl1(s1(z0))) → c54(DBL1(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.28
PROPER(dbl1(sel1(z0, z1))) → c54(DBL1(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.28
PROPER(dbl1(quote(z0))) → c54(DBL1(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.28
PROPER(dbl1(0)) → c54(DBL1(ok(0)))
419.73/127.28
PROPER(dbl1(nil)) → c54(DBL1(ok(nil)))
419.73/127.28
PROPER(dbl1(01)) → c54(DBL1(ok(01)))
419.73/127.28
PROPER(s1(dbl(z0))) → c56(S1(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.28
PROPER(s1(s(z0))) → c56(S1(s(proper(z0))), PROPER(s(z0)))
419.73/127.28
PROPER(s1(dbls(z0))) → c56(S1(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.28
PROPER(s1(cons(z0, z1))) → c56(S1(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.28
PROPER(s1(sel(z0, z1))) → c56(S1(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.28
PROPER(s1(indx(z0, z1))) → c56(S1(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.28
PROPER(s1(from(z0))) → c56(S1(from(proper(z0))), PROPER(from(z0)))
419.73/127.28
PROPER(s1(dbl1(z0))) → c56(S1(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.28
PROPER(s1(s1(z0))) → c56(S1(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.28
PROPER(s1(sel1(z0, z1))) → c56(S1(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.28
PROPER(s1(quote(z0))) → c56(S1(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.28
PROPER(s1(0)) → c56(S1(ok(0)))
419.73/127.28
PROPER(s1(nil)) → c56(S1(ok(nil)))
419.73/127.28
PROPER(s1(01)) → c56(S1(ok(01)))
419.73/127.28
PROPER(sel1(x0, dbl(z0))) → c57(SEL1(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.28
PROPER(sel1(x0, s(z0))) → c57(SEL1(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.28
PROPER(sel1(x0, dbls(z0))) → c57(SEL1(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.28
PROPER(sel1(x0, cons(z0, z1))) → c57(SEL1(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.28
PROPER(sel1(x0, sel(z0, z1))) → c57(SEL1(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.28
PROPER(sel1(x0, indx(z0, z1))) → c57(SEL1(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.28
PROPER(sel1(x0, from(z0))) → c57(SEL1(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.28
PROPER(sel1(x0, dbl1(z0))) → c57(SEL1(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.28
PROPER(sel1(x0, s1(z0))) → c57(SEL1(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.28
PROPER(sel1(x0, sel1(z0, z1))) → c57(SEL1(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.28
PROPER(sel1(x0, quote(z0))) → c57(SEL1(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.28
PROPER(sel1(dbl(z0), x1)) → c57(SEL1(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.28
PROPER(sel1(s(z0), x1)) → c57(SEL1(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.28
PROPER(sel1(dbls(z0), x1)) → c57(SEL1(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.28
PROPER(sel1(cons(z0, z1), x1)) → c57(SEL1(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(sel1(sel(z0, z1), x1)) → c57(SEL1(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(sel1(indx(z0, z1), x1)) → c57(SEL1(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(sel1(from(z0), x1)) → c57(SEL1(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.28
PROPER(sel1(dbl1(z0), x1)) → c57(SEL1(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.28
PROPER(sel1(s1(z0), x1)) → c57(SEL1(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.28
PROPER(sel1(sel1(z0, z1), x1)) → c57(SEL1(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(sel1(quote(z0), x1)) → c57(SEL1(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.28
PROPER(sel1(x0, 0)) → c57(SEL1(proper(x0), ok(0)), PROPER(x0))
419.73/127.28
PROPER(sel1(x0, nil)) → c57(SEL1(proper(x0), ok(nil)), PROPER(x0))
419.73/127.28
PROPER(sel1(x0, 01)) → c57(SEL1(proper(x0), ok(01)), PROPER(x0))
419.73/127.28
PROPER(sel1(0, x1)) → c57(SEL1(ok(0), proper(x1)), PROPER(x1))
419.73/127.28
PROPER(sel1(nil, x1)) → c57(SEL1(ok(nil), proper(x1)), PROPER(x1))
419.73/127.28
PROPER(sel1(01, x1)) → c57(SEL1(ok(01), proper(x1)), PROPER(x1))
419.73/127.28
PROPER(quote(dbl(z0))) → c58(QUOTE(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.28
PROPER(quote(0)) → c58(QUOTE(ok(0)), PROPER(0))
419.73/127.28
PROPER(quote(s(z0))) → c58(QUOTE(s(proper(z0))), PROPER(s(z0)))
419.73/127.28
PROPER(quote(dbls(z0))) → c58(QUOTE(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.28
PROPER(quote(nil)) → c58(QUOTE(ok(nil)), PROPER(nil))
419.73/127.28
PROPER(quote(cons(z0, z1))) → c58(QUOTE(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.28
PROPER(quote(sel(z0, z1))) → c58(QUOTE(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.28
PROPER(quote(indx(z0, z1))) → c58(QUOTE(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.28
PROPER(quote(from(z0))) → c58(QUOTE(from(proper(z0))), PROPER(from(z0)))
419.73/127.28
PROPER(quote(dbl1(z0))) → c58(QUOTE(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.28
PROPER(quote(01)) → c58(QUOTE(ok(01)), PROPER(01))
419.73/127.28
PROPER(quote(s1(z0))) → c58(QUOTE(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.28
PROPER(quote(sel1(z0, z1))) → c58(QUOTE(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.28
PROPER(quote(quote(z0))) → c58(QUOTE(quote(proper(z0))), PROPER(quote(z0)))
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
ACTIVE, DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, S, CONS, FROM, TOP, PROPER
Compound Symbols:
c5, c12, c15, c16, c19, c20, c24, c25, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c59, c60, c61, c62, c63, c8, c, c17, c17, c1, c18, c18, c2, c21, c21, c3, c22, c22, c4, c23, c23, c6, c26, c26, c7, c45, c45, c47, c47, c48, c48, c50, c50, c51, c51, c52, c52, c53, c53, c54, c54, c56, c56, c57, c57, c58
419.73/127.28
419.73/127.28
(85) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID) transformation)
Removed 3 trailing tuple parts
419.73/127.28
419.73/127.28
(86) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
419.73/127.28
active(dbl(s(z0))) → mark(s(s(dbl(z0))))
419.73/127.28
active(dbls(nil)) → mark(nil)
419.73/127.28
active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
419.73/127.28
active(sel(0, cons(z0, z1))) → mark(z0)
419.73/127.28
active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
419.73/127.28
active(indx(nil, z0)) → mark(nil)
419.73/127.28
active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
419.73/127.28
active(from(z0)) → mark(cons(z0, from(s(z0))))
419.73/127.28
active(dbl1(0)) → mark(01)
419.73/127.28
active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
419.73/127.28
active(sel1(0, cons(z0, z1))) → mark(z0)
419.73/127.28
active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
419.73/127.28
active(quote(0)) → mark(01)
419.73/127.28
active(quote(s(z0))) → mark(s1(quote(z0)))
419.73/127.28
active(quote(dbl(z0))) → mark(dbl1(z0))
419.73/127.28
active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
419.73/127.28
active(dbl(z0)) → dbl(active(z0))
419.73/127.28
active(dbls(z0)) → dbls(active(z0))
419.73/127.28
active(sel(z0, z1)) → sel(active(z0), z1)
419.73/127.28
active(sel(z0, z1)) → sel(z0, active(z1))
419.73/127.28
active(indx(z0, z1)) → indx(active(z0), z1)
419.73/127.28
active(dbl1(z0)) → dbl1(active(z0))
419.73/127.28
active(s1(z0)) → s1(active(z0))
419.73/127.28
active(sel1(z0, z1)) → sel1(active(z0), z1)
419.73/127.28
active(sel1(z0, z1)) → sel1(z0, active(z1))
419.73/127.28
active(quote(z0)) → quote(active(z0))
419.73/127.28
dbl(mark(z0)) → mark(dbl(z0))
419.73/127.28
dbl(ok(z0)) → ok(dbl(z0))
419.73/127.28
dbls(mark(z0)) → mark(dbls(z0))
419.73/127.28
dbls(ok(z0)) → ok(dbls(z0))
419.73/127.28
sel(mark(z0), z1) → mark(sel(z0, z1))
419.73/127.28
sel(z0, mark(z1)) → mark(sel(z0, z1))
419.73/127.28
sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
419.73/127.28
indx(mark(z0), z1) → mark(indx(z0, z1))
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indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
419.73/127.28
dbl1(mark(z0)) → mark(dbl1(z0))
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dbl1(ok(z0)) → ok(dbl1(z0))
419.73/127.28
s1(mark(z0)) → mark(s1(z0))
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s1(ok(z0)) → ok(s1(z0))
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sel1(mark(z0), z1) → mark(sel1(z0, z1))
419.73/127.28
sel1(z0, mark(z1)) → mark(sel1(z0, z1))
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sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
419.73/127.28
quote(mark(z0)) → mark(quote(z0))
419.73/127.28
quote(ok(z0)) → ok(quote(z0))
419.73/127.28
proper(dbl(z0)) → dbl(proper(z0))
419.73/127.28
proper(0) → ok(0)
419.73/127.28
proper(s(z0)) → s(proper(z0))
419.73/127.28
proper(dbls(z0)) → dbls(proper(z0))
419.73/127.28
proper(nil) → ok(nil)
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proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
419.73/127.28
proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
419.73/127.28
proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
419.73/127.28
proper(from(z0)) → from(proper(z0))
419.73/127.28
proper(dbl1(z0)) → dbl1(proper(z0))
419.73/127.28
proper(01) → ok(01)
419.73/127.28
proper(s1(z0)) → s1(proper(z0))
419.73/127.28
proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
419.73/127.28
proper(quote(z0)) → quote(proper(z0))
419.73/127.28
s(ok(z0)) → ok(s(z0))
419.73/127.28
cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
419.73/127.28
from(ok(z0)) → ok(from(z0))
419.73/127.28
top(mark(z0)) → top(proper(z0))
419.73/127.28
top(ok(z0)) → top(active(z0))
Tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.73/127.28
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.73/127.28
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.73/127.28
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.73/127.28
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.73/127.28
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.73/127.28
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.73/127.28
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.73/127.28
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
419.73/127.28
DBLS(mark(z0)) → c29(DBLS(z0))
419.73/127.28
DBLS(ok(z0)) → c30(DBLS(z0))
419.73/127.28
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.73/127.28
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.73/127.28
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.73/127.28
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.73/127.28
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.73/127.28
DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
419.73/127.28
S1(mark(z0)) → c38(S1(z0))
419.73/127.28
S1(ok(z0)) → c39(S1(z0))
419.73/127.28
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.73/127.28
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.73/127.28
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.73/127.28
QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
419.73/127.28
S(ok(z0)) → c59(S(z0))
419.73/127.28
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.73/127.28
FROM(ok(z0)) → c61(FROM(z0))
419.73/127.28
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
419.73/127.28
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.73/127.28
ACTIVE(from(z0)) → c8(S(z0))
419.73/127.28
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.73/127.28
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.73/127.28
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.73/127.28
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.73/127.28
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.73/127.28
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.73/127.28
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.73/127.28
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.73/127.28
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.73/127.28
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.73/127.28
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.73/127.28
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.73/127.28
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.73/127.28
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.73/127.28
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.28
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.28
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.28
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.28
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.28
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.28
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.28
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.28
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.28
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.28
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.28
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.28
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.28
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.28
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.28
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.28
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.73/127.28
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.73/127.28
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.73/127.28
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.73/127.28
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.73/127.28
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.28
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.28
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.28
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.28
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.28
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.28
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.28
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.28
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.28
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.28
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.28
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.28
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.28
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.28
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.28
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.28
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.73/127.28
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.73/127.28
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.73/127.28
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.28
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.28
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.73/127.28
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.73/127.28
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.28
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.28
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.73/127.28
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.73/127.28
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.28
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.28
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.28
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.28
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.73/127.28
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.73/127.28
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.73/127.28
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.73/127.28
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.73/127.28
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.73/127.28
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.73/127.28
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.73/127.28
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.73/127.28
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.73/127.28
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.73/127.28
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.73/127.28
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.73/127.28
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.73/127.28
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.73/127.28
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.73/127.28
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.73/127.28
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.28
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.28
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.28
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.28
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.73/127.28
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.73/127.28
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.73/127.28
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.73/127.28
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.73/127.28
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.28
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.73/127.28
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.73/127.28
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.28
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.28
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.28
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.28
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.28
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.28
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.28
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.28
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.28
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.28
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.28
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.28
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.28
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.28
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.28
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.28
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.73/127.28
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.73/127.28
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.28
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.73/127.28
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.73/127.28
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.73/127.28
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.73/127.28
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.73/127.28
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.28
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.73/127.28
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.28
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.73/127.28
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.28
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.73/127.28
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.73/127.28
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.28
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.73/127.28
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.28
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.28
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.73/127.28
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.73/127.28
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.73/127.28
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.28
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.28
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.28
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.28
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.28
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.28
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.28
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.28
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.28
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.28
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.28
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.28
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.28
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.28
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.28
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.28
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.28
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.73/127.28
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.73/127.28
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.73/127.28
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.73/127.28
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.73/127.28
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.73/127.28
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.28
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.73/127.28
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.28
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.28
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.73/127.28
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.73/127.28
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.73/127.28
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.73/127.28
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.28
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.28
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.28
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.28
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.28
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.28
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.28
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.28
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.28
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.28
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.28
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.28
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.28
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.28
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.28
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.28
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.73/127.28
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.73/127.28
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.28
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.73/127.28
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.73/127.28
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.73/127.28
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.73/127.28
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.73/127.28
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.73/127.28
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.73/127.28
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.73/127.28
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.28
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.73/127.28
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.28
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.73/127.28
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.73/127.28
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.73/127.28
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.28
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.73/127.28
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.28
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.73/127.28
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.73/127.28
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.28
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.73/127.28
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.28
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.28
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.73/127.28
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.73/127.28
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.73/127.28
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.73/127.28
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.73/127.28
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.28
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.28
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.73/127.28
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.28
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.28
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.28
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.28
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.73/127.28
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.28
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.28
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.28
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.28
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.73/127.28
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.73/127.28
PROPER(dbl(01)) → c45(DBL(ok(01)))
419.73/127.28
PROPER(s(dbl(z0))) → c47(S(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.28
PROPER(s(s(z0))) → c47(S(s(proper(z0))), PROPER(s(z0)))
419.73/127.28
PROPER(s(dbls(z0))) → c47(S(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.28
PROPER(s(cons(z0, z1))) → c47(S(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.28
PROPER(s(sel(z0, z1))) → c47(S(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.28
PROPER(s(indx(z0, z1))) → c47(S(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.28
PROPER(s(from(z0))) → c47(S(from(proper(z0))), PROPER(from(z0)))
419.73/127.28
PROPER(s(dbl1(z0))) → c47(S(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.28
PROPER(s(s1(z0))) → c47(S(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.28
PROPER(s(sel1(z0, z1))) → c47(S(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.28
PROPER(s(quote(z0))) → c47(S(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.28
PROPER(s(0)) → c47(S(ok(0)))
419.73/127.28
PROPER(s(nil)) → c47(S(ok(nil)))
419.73/127.28
PROPER(s(01)) → c47(S(ok(01)))
419.73/127.28
PROPER(dbls(dbl(z0))) → c48(DBLS(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.28
PROPER(dbls(s(z0))) → c48(DBLS(s(proper(z0))), PROPER(s(z0)))
419.73/127.28
PROPER(dbls(dbls(z0))) → c48(DBLS(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.28
PROPER(dbls(cons(z0, z1))) → c48(DBLS(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.28
PROPER(dbls(sel(z0, z1))) → c48(DBLS(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.28
PROPER(dbls(indx(z0, z1))) → c48(DBLS(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.28
PROPER(dbls(from(z0))) → c48(DBLS(from(proper(z0))), PROPER(from(z0)))
419.73/127.28
PROPER(dbls(dbl1(z0))) → c48(DBLS(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.28
PROPER(dbls(s1(z0))) → c48(DBLS(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.28
PROPER(dbls(sel1(z0, z1))) → c48(DBLS(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.28
PROPER(dbls(quote(z0))) → c48(DBLS(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.28
PROPER(dbls(0)) → c48(DBLS(ok(0)))
419.73/127.28
PROPER(dbls(nil)) → c48(DBLS(ok(nil)))
419.73/127.28
PROPER(dbls(01)) → c48(DBLS(ok(01)))
419.73/127.28
PROPER(cons(x0, dbl(z0))) → c50(CONS(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.28
PROPER(cons(x0, s(z0))) → c50(CONS(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.28
PROPER(cons(x0, dbls(z0))) → c50(CONS(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.28
PROPER(cons(x0, cons(z0, z1))) → c50(CONS(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.28
PROPER(cons(x0, sel(z0, z1))) → c50(CONS(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.28
PROPER(cons(x0, indx(z0, z1))) → c50(CONS(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.28
PROPER(cons(x0, from(z0))) → c50(CONS(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.28
PROPER(cons(x0, dbl1(z0))) → c50(CONS(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.28
PROPER(cons(x0, s1(z0))) → c50(CONS(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.28
PROPER(cons(x0, sel1(z0, z1))) → c50(CONS(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.28
PROPER(cons(x0, quote(z0))) → c50(CONS(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.28
PROPER(cons(dbl(z0), x1)) → c50(CONS(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.28
PROPER(cons(s(z0), x1)) → c50(CONS(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.28
PROPER(cons(dbls(z0), x1)) → c50(CONS(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.28
PROPER(cons(cons(z0, z1), x1)) → c50(CONS(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(cons(sel(z0, z1), x1)) → c50(CONS(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(cons(indx(z0, z1), x1)) → c50(CONS(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(cons(from(z0), x1)) → c50(CONS(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.28
PROPER(cons(dbl1(z0), x1)) → c50(CONS(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.28
PROPER(cons(s1(z0), x1)) → c50(CONS(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.28
PROPER(cons(sel1(z0, z1), x1)) → c50(CONS(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.28
PROPER(cons(quote(z0), x1)) → c50(CONS(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.28
PROPER(cons(x0, 0)) → c50(CONS(proper(x0), ok(0)), PROPER(x0))
419.73/127.28
PROPER(cons(x0, nil)) → c50(CONS(proper(x0), ok(nil)), PROPER(x0))
419.73/127.28
PROPER(cons(x0, 01)) → c50(CONS(proper(x0), ok(01)), PROPER(x0))
419.73/127.28
PROPER(cons(0, x1)) → c50(CONS(ok(0), proper(x1)), PROPER(x1))
419.73/127.28
PROPER(cons(nil, x1)) → c50(CONS(ok(nil), proper(x1)), PROPER(x1))
419.73/127.28
PROPER(cons(01, x1)) → c50(CONS(ok(01), proper(x1)), PROPER(x1))
419.73/127.28
PROPER(sel(x0, dbl(z0))) → c51(SEL(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.28
PROPER(sel(x0, s(z0))) → c51(SEL(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.29
PROPER(sel(x0, dbls(z0))) → c51(SEL(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.29
PROPER(sel(x0, cons(z0, z1))) → c51(SEL(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.29
PROPER(sel(x0, sel(z0, z1))) → c51(SEL(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.29
PROPER(sel(x0, indx(z0, z1))) → c51(SEL(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.29
PROPER(sel(x0, from(z0))) → c51(SEL(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.29
PROPER(sel(x0, dbl1(z0))) → c51(SEL(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.29
PROPER(sel(x0, s1(z0))) → c51(SEL(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.29
PROPER(sel(x0, sel1(z0, z1))) → c51(SEL(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.29
PROPER(sel(x0, quote(z0))) → c51(SEL(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.29
PROPER(sel(dbl(z0), x1)) → c51(SEL(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.29
PROPER(sel(s(z0), x1)) → c51(SEL(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.29
PROPER(sel(dbls(z0), x1)) → c51(SEL(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.29
PROPER(sel(cons(z0, z1), x1)) → c51(SEL(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(sel(sel(z0, z1), x1)) → c51(SEL(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(sel(indx(z0, z1), x1)) → c51(SEL(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(sel(from(z0), x1)) → c51(SEL(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.29
PROPER(sel(dbl1(z0), x1)) → c51(SEL(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.29
PROPER(sel(s1(z0), x1)) → c51(SEL(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.29
PROPER(sel(sel1(z0, z1), x1)) → c51(SEL(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(sel(quote(z0), x1)) → c51(SEL(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.29
PROPER(sel(x0, 0)) → c51(SEL(proper(x0), ok(0)), PROPER(x0))
419.73/127.29
PROPER(sel(x0, nil)) → c51(SEL(proper(x0), ok(nil)), PROPER(x0))
419.73/127.29
PROPER(sel(x0, 01)) → c51(SEL(proper(x0), ok(01)), PROPER(x0))
419.73/127.29
PROPER(sel(0, x1)) → c51(SEL(ok(0), proper(x1)), PROPER(x1))
419.73/127.29
PROPER(sel(nil, x1)) → c51(SEL(ok(nil), proper(x1)), PROPER(x1))
419.73/127.29
PROPER(sel(01, x1)) → c51(SEL(ok(01), proper(x1)), PROPER(x1))
419.73/127.29
PROPER(indx(x0, dbl(z0))) → c52(INDX(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.29
PROPER(indx(x0, s(z0))) → c52(INDX(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.29
PROPER(indx(x0, dbls(z0))) → c52(INDX(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.29
PROPER(indx(x0, cons(z0, z1))) → c52(INDX(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.29
PROPER(indx(x0, sel(z0, z1))) → c52(INDX(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.29
PROPER(indx(x0, indx(z0, z1))) → c52(INDX(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.29
PROPER(indx(x0, from(z0))) → c52(INDX(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.29
PROPER(indx(x0, dbl1(z0))) → c52(INDX(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.29
PROPER(indx(x0, s1(z0))) → c52(INDX(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.29
PROPER(indx(x0, sel1(z0, z1))) → c52(INDX(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.29
PROPER(indx(x0, quote(z0))) → c52(INDX(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.29
PROPER(indx(dbl(z0), x1)) → c52(INDX(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.29
PROPER(indx(s(z0), x1)) → c52(INDX(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.29
PROPER(indx(dbls(z0), x1)) → c52(INDX(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.29
PROPER(indx(cons(z0, z1), x1)) → c52(INDX(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(indx(sel(z0, z1), x1)) → c52(INDX(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(indx(indx(z0, z1), x1)) → c52(INDX(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(indx(from(z0), x1)) → c52(INDX(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.29
PROPER(indx(dbl1(z0), x1)) → c52(INDX(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.29
PROPER(indx(s1(z0), x1)) → c52(INDX(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.29
PROPER(indx(sel1(z0, z1), x1)) → c52(INDX(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(indx(quote(z0), x1)) → c52(INDX(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.29
PROPER(indx(x0, 0)) → c52(INDX(proper(x0), ok(0)), PROPER(x0))
419.73/127.29
PROPER(indx(x0, nil)) → c52(INDX(proper(x0), ok(nil)), PROPER(x0))
419.73/127.29
PROPER(indx(x0, 01)) → c52(INDX(proper(x0), ok(01)), PROPER(x0))
419.73/127.29
PROPER(indx(0, x1)) → c52(INDX(ok(0), proper(x1)), PROPER(x1))
419.73/127.29
PROPER(indx(nil, x1)) → c52(INDX(ok(nil), proper(x1)), PROPER(x1))
419.73/127.29
PROPER(indx(01, x1)) → c52(INDX(ok(01), proper(x1)), PROPER(x1))
419.73/127.29
PROPER(from(dbl(z0))) → c53(FROM(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.29
PROPER(from(s(z0))) → c53(FROM(s(proper(z0))), PROPER(s(z0)))
419.73/127.29
PROPER(from(dbls(z0))) → c53(FROM(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.29
PROPER(from(cons(z0, z1))) → c53(FROM(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.29
PROPER(from(sel(z0, z1))) → c53(FROM(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.29
PROPER(from(indx(z0, z1))) → c53(FROM(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.29
PROPER(from(from(z0))) → c53(FROM(from(proper(z0))), PROPER(from(z0)))
419.73/127.29
PROPER(from(dbl1(z0))) → c53(FROM(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.29
PROPER(from(s1(z0))) → c53(FROM(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.29
PROPER(from(sel1(z0, z1))) → c53(FROM(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.29
PROPER(from(quote(z0))) → c53(FROM(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.29
PROPER(from(0)) → c53(FROM(ok(0)))
419.73/127.29
PROPER(from(nil)) → c53(FROM(ok(nil)))
419.73/127.29
PROPER(from(01)) → c53(FROM(ok(01)))
419.73/127.29
PROPER(dbl1(dbl(z0))) → c54(DBL1(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.29
PROPER(dbl1(s(z0))) → c54(DBL1(s(proper(z0))), PROPER(s(z0)))
419.73/127.29
PROPER(dbl1(dbls(z0))) → c54(DBL1(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.29
PROPER(dbl1(cons(z0, z1))) → c54(DBL1(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.29
PROPER(dbl1(sel(z0, z1))) → c54(DBL1(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.29
PROPER(dbl1(indx(z0, z1))) → c54(DBL1(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.29
PROPER(dbl1(from(z0))) → c54(DBL1(from(proper(z0))), PROPER(from(z0)))
419.73/127.29
PROPER(dbl1(dbl1(z0))) → c54(DBL1(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.29
PROPER(dbl1(s1(z0))) → c54(DBL1(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.29
PROPER(dbl1(sel1(z0, z1))) → c54(DBL1(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.29
PROPER(dbl1(quote(z0))) → c54(DBL1(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.29
PROPER(dbl1(0)) → c54(DBL1(ok(0)))
419.73/127.29
PROPER(dbl1(nil)) → c54(DBL1(ok(nil)))
419.73/127.29
PROPER(dbl1(01)) → c54(DBL1(ok(01)))
419.73/127.29
PROPER(s1(dbl(z0))) → c56(S1(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.29
PROPER(s1(s(z0))) → c56(S1(s(proper(z0))), PROPER(s(z0)))
419.73/127.29
PROPER(s1(dbls(z0))) → c56(S1(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.29
PROPER(s1(cons(z0, z1))) → c56(S1(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.29
PROPER(s1(sel(z0, z1))) → c56(S1(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.29
PROPER(s1(indx(z0, z1))) → c56(S1(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.29
PROPER(s1(from(z0))) → c56(S1(from(proper(z0))), PROPER(from(z0)))
419.73/127.29
PROPER(s1(dbl1(z0))) → c56(S1(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.29
PROPER(s1(s1(z0))) → c56(S1(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.29
PROPER(s1(sel1(z0, z1))) → c56(S1(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.29
PROPER(s1(quote(z0))) → c56(S1(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.29
PROPER(s1(0)) → c56(S1(ok(0)))
419.73/127.29
PROPER(s1(nil)) → c56(S1(ok(nil)))
419.73/127.29
PROPER(s1(01)) → c56(S1(ok(01)))
419.73/127.29
PROPER(sel1(x0, dbl(z0))) → c57(SEL1(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.29
PROPER(sel1(x0, s(z0))) → c57(SEL1(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.29
PROPER(sel1(x0, dbls(z0))) → c57(SEL1(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.29
PROPER(sel1(x0, cons(z0, z1))) → c57(SEL1(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.29
PROPER(sel1(x0, sel(z0, z1))) → c57(SEL1(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.29
PROPER(sel1(x0, indx(z0, z1))) → c57(SEL1(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.29
PROPER(sel1(x0, from(z0))) → c57(SEL1(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.29
PROPER(sel1(x0, dbl1(z0))) → c57(SEL1(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.29
PROPER(sel1(x0, s1(z0))) → c57(SEL1(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.29
PROPER(sel1(x0, sel1(z0, z1))) → c57(SEL1(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.29
PROPER(sel1(x0, quote(z0))) → c57(SEL1(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.29
PROPER(sel1(dbl(z0), x1)) → c57(SEL1(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.29
PROPER(sel1(s(z0), x1)) → c57(SEL1(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.29
PROPER(sel1(dbls(z0), x1)) → c57(SEL1(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.29
PROPER(sel1(cons(z0, z1), x1)) → c57(SEL1(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(sel1(sel(z0, z1), x1)) → c57(SEL1(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(sel1(indx(z0, z1), x1)) → c57(SEL1(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(sel1(from(z0), x1)) → c57(SEL1(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.29
PROPER(sel1(dbl1(z0), x1)) → c57(SEL1(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.29
PROPER(sel1(s1(z0), x1)) → c57(SEL1(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.29
PROPER(sel1(sel1(z0, z1), x1)) → c57(SEL1(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(sel1(quote(z0), x1)) → c57(SEL1(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.29
PROPER(sel1(x0, 0)) → c57(SEL1(proper(x0), ok(0)), PROPER(x0))
419.73/127.29
PROPER(sel1(x0, nil)) → c57(SEL1(proper(x0), ok(nil)), PROPER(x0))
419.73/127.29
PROPER(sel1(x0, 01)) → c57(SEL1(proper(x0), ok(01)), PROPER(x0))
419.73/127.29
PROPER(sel1(0, x1)) → c57(SEL1(ok(0), proper(x1)), PROPER(x1))
419.73/127.29
PROPER(sel1(nil, x1)) → c57(SEL1(ok(nil), proper(x1)), PROPER(x1))
419.73/127.29
PROPER(sel1(01, x1)) → c57(SEL1(ok(01), proper(x1)), PROPER(x1))
419.73/127.29
PROPER(quote(dbl(z0))) → c58(QUOTE(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.29
PROPER(quote(s(z0))) → c58(QUOTE(s(proper(z0))), PROPER(s(z0)))
419.73/127.29
PROPER(quote(dbls(z0))) → c58(QUOTE(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.29
PROPER(quote(cons(z0, z1))) → c58(QUOTE(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.29
PROPER(quote(sel(z0, z1))) → c58(QUOTE(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.29
PROPER(quote(indx(z0, z1))) → c58(QUOTE(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.29
PROPER(quote(from(z0))) → c58(QUOTE(from(proper(z0))), PROPER(from(z0)))
419.73/127.29
PROPER(quote(dbl1(z0))) → c58(QUOTE(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.29
PROPER(quote(s1(z0))) → c58(QUOTE(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.29
PROPER(quote(sel1(z0, z1))) → c58(QUOTE(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.29
PROPER(quote(quote(z0))) → c58(QUOTE(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.29
PROPER(quote(0)) → c58(QUOTE(ok(0)))
419.73/127.29
PROPER(quote(nil)) → c58(QUOTE(ok(nil)))
419.73/127.29
PROPER(quote(01)) → c58(QUOTE(ok(01)))
S tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.73/127.29
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.73/127.29
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.73/127.29
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.73/127.29
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.73/127.29
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.73/127.29
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.73/127.29
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.73/127.29
DBL(mark(z0)) → c27(DBL(z0))
419.73/127.29
DBL(ok(z0)) → c28(DBL(z0))
419.73/127.29
DBLS(mark(z0)) → c29(DBLS(z0))
419.73/127.29
DBLS(ok(z0)) → c30(DBLS(z0))
419.73/127.29
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.73/127.29
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.73/127.29
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.73/127.29
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.73/127.29
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.73/127.29
DBL1(mark(z0)) → c36(DBL1(z0))
419.73/127.29
DBL1(ok(z0)) → c37(DBL1(z0))
419.73/127.29
S1(mark(z0)) → c38(S1(z0))
419.73/127.29
S1(ok(z0)) → c39(S1(z0))
419.73/127.29
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.73/127.29
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.73/127.29
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.73/127.29
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.73/127.29
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.73/127.29
S(ok(z0)) → c59(S(z0))
419.73/127.29
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.73/127.29
FROM(ok(z0)) → c61(FROM(z0))
419.73/127.29
TOP(mark(z0)) → c62(TOP(proper(z0)), PROPER(z0))
419.73/127.29
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.73/127.29
ACTIVE(from(z0)) → c8(S(z0))
419.73/127.29
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.73/127.29
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.73/127.29
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.73/127.29
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.73/127.29
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.73/127.29
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.73/127.29
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.73/127.29
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.73/127.29
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.73/127.29
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.73/127.29
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.73/127.29
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.73/127.29
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.73/127.29
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.73/127.29
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.29
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.29
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.29
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.29
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.29
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.29
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.29
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.29
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.29
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.29
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.29
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.29
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.29
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.29
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.29
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.29
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.73/127.29
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.73/127.29
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.73/127.29
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.73/127.29
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.73/127.29
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.29
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.29
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.29
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.29
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.29
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.29
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.29
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.29
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.29
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.29
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.29
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.29
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.29
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.29
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.29
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.29
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.73/127.29
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.73/127.29
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.73/127.29
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.29
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.29
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.73/127.29
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.73/127.29
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.29
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.29
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.73/127.29
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.73/127.29
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.29
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.29
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.29
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.29
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.73/127.29
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.73/127.29
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.73/127.29
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.73/127.29
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.73/127.29
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.73/127.29
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.73/127.29
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.73/127.29
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.73/127.29
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.73/127.29
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.73/127.29
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.73/127.29
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.73/127.29
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.73/127.29
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.73/127.29
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.73/127.29
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.73/127.29
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.29
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.29
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.29
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.29
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.73/127.29
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.73/127.29
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.73/127.29
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.73/127.29
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.73/127.29
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.29
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.73/127.29
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.73/127.29
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.29
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.29
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.29
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.29
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.29
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.29
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.29
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.29
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.29
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.29
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.29
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.29
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.29
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.29
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.29
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.29
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.73/127.29
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.73/127.29
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.29
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.73/127.29
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.73/127.29
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.73/127.29
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.73/127.29
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.73/127.29
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.29
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.73/127.29
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.29
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.73/127.29
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.29
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.73/127.29
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.73/127.29
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.29
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.73/127.29
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.29
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.29
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.73/127.29
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.73/127.29
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.73/127.29
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.29
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.29
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.29
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.29
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.29
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.29
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.29
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.29
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.29
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.29
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.29
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.29
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.29
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.29
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.29
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.29
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.29
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.73/127.29
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.73/127.29
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.73/127.29
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.73/127.29
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.73/127.29
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.73/127.29
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.29
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.73/127.29
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.29
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.29
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.73/127.29
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.73/127.29
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.73/127.29
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.73/127.29
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.29
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.29
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.29
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.29
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.29
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.29
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.29
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.29
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.29
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.29
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.29
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.29
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.29
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.29
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.29
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.29
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.73/127.29
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.73/127.29
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.29
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.73/127.29
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.73/127.29
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.73/127.29
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.73/127.29
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.73/127.29
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.73/127.29
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.73/127.29
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.73/127.29
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.29
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.73/127.29
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.29
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.73/127.29
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.73/127.29
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.73/127.29
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.29
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.73/127.29
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.29
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.73/127.29
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.73/127.29
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.29
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.73/127.29
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.29
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.29
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.73/127.29
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.73/127.29
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.73/127.29
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.73/127.29
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.73/127.29
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.29
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.29
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.73/127.29
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.29
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.29
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.29
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.29
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.73/127.29
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.29
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.29
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.29
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.29
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.73/127.29
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.73/127.29
PROPER(dbl(01)) → c45(DBL(ok(01)))
419.73/127.29
PROPER(s(dbl(z0))) → c47(S(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.29
PROPER(s(s(z0))) → c47(S(s(proper(z0))), PROPER(s(z0)))
419.73/127.29
PROPER(s(dbls(z0))) → c47(S(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.29
PROPER(s(cons(z0, z1))) → c47(S(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.29
PROPER(s(sel(z0, z1))) → c47(S(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.29
PROPER(s(indx(z0, z1))) → c47(S(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.29
PROPER(s(from(z0))) → c47(S(from(proper(z0))), PROPER(from(z0)))
419.73/127.29
PROPER(s(dbl1(z0))) → c47(S(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.29
PROPER(s(s1(z0))) → c47(S(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.29
PROPER(s(sel1(z0, z1))) → c47(S(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.29
PROPER(s(quote(z0))) → c47(S(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.29
PROPER(s(0)) → c47(S(ok(0)))
419.73/127.29
PROPER(s(nil)) → c47(S(ok(nil)))
419.73/127.29
PROPER(s(01)) → c47(S(ok(01)))
419.73/127.29
PROPER(dbls(dbl(z0))) → c48(DBLS(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.29
PROPER(dbls(s(z0))) → c48(DBLS(s(proper(z0))), PROPER(s(z0)))
419.73/127.29
PROPER(dbls(dbls(z0))) → c48(DBLS(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.29
PROPER(dbls(cons(z0, z1))) → c48(DBLS(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.29
PROPER(dbls(sel(z0, z1))) → c48(DBLS(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.29
PROPER(dbls(indx(z0, z1))) → c48(DBLS(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.29
PROPER(dbls(from(z0))) → c48(DBLS(from(proper(z0))), PROPER(from(z0)))
419.73/127.29
PROPER(dbls(dbl1(z0))) → c48(DBLS(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.29
PROPER(dbls(s1(z0))) → c48(DBLS(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.29
PROPER(dbls(sel1(z0, z1))) → c48(DBLS(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.29
PROPER(dbls(quote(z0))) → c48(DBLS(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.29
PROPER(dbls(0)) → c48(DBLS(ok(0)))
419.73/127.29
PROPER(dbls(nil)) → c48(DBLS(ok(nil)))
419.73/127.29
PROPER(dbls(01)) → c48(DBLS(ok(01)))
419.73/127.29
PROPER(cons(x0, dbl(z0))) → c50(CONS(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.29
PROPER(cons(x0, s(z0))) → c50(CONS(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.29
PROPER(cons(x0, dbls(z0))) → c50(CONS(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.29
PROPER(cons(x0, cons(z0, z1))) → c50(CONS(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.29
PROPER(cons(x0, sel(z0, z1))) → c50(CONS(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.29
PROPER(cons(x0, indx(z0, z1))) → c50(CONS(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.29
PROPER(cons(x0, from(z0))) → c50(CONS(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.29
PROPER(cons(x0, dbl1(z0))) → c50(CONS(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.29
PROPER(cons(x0, s1(z0))) → c50(CONS(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.29
PROPER(cons(x0, sel1(z0, z1))) → c50(CONS(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.29
PROPER(cons(x0, quote(z0))) → c50(CONS(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.29
PROPER(cons(dbl(z0), x1)) → c50(CONS(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.29
PROPER(cons(s(z0), x1)) → c50(CONS(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.29
PROPER(cons(dbls(z0), x1)) → c50(CONS(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.29
PROPER(cons(cons(z0, z1), x1)) → c50(CONS(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(cons(sel(z0, z1), x1)) → c50(CONS(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(cons(indx(z0, z1), x1)) → c50(CONS(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(cons(from(z0), x1)) → c50(CONS(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.29
PROPER(cons(dbl1(z0), x1)) → c50(CONS(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.29
PROPER(cons(s1(z0), x1)) → c50(CONS(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.29
PROPER(cons(sel1(z0, z1), x1)) → c50(CONS(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(cons(quote(z0), x1)) → c50(CONS(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.29
PROPER(cons(x0, 0)) → c50(CONS(proper(x0), ok(0)), PROPER(x0))
419.73/127.29
PROPER(cons(x0, nil)) → c50(CONS(proper(x0), ok(nil)), PROPER(x0))
419.73/127.29
PROPER(cons(x0, 01)) → c50(CONS(proper(x0), ok(01)), PROPER(x0))
419.73/127.29
PROPER(cons(0, x1)) → c50(CONS(ok(0), proper(x1)), PROPER(x1))
419.73/127.29
PROPER(cons(nil, x1)) → c50(CONS(ok(nil), proper(x1)), PROPER(x1))
419.73/127.29
PROPER(cons(01, x1)) → c50(CONS(ok(01), proper(x1)), PROPER(x1))
419.73/127.29
PROPER(sel(x0, dbl(z0))) → c51(SEL(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.29
PROPER(sel(x0, s(z0))) → c51(SEL(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.29
PROPER(sel(x0, dbls(z0))) → c51(SEL(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.29
PROPER(sel(x0, cons(z0, z1))) → c51(SEL(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.29
PROPER(sel(x0, sel(z0, z1))) → c51(SEL(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.29
PROPER(sel(x0, indx(z0, z1))) → c51(SEL(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.29
PROPER(sel(x0, from(z0))) → c51(SEL(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.29
PROPER(sel(x0, dbl1(z0))) → c51(SEL(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.29
PROPER(sel(x0, s1(z0))) → c51(SEL(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.29
PROPER(sel(x0, sel1(z0, z1))) → c51(SEL(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.29
PROPER(sel(x0, quote(z0))) → c51(SEL(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.29
PROPER(sel(dbl(z0), x1)) → c51(SEL(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.29
PROPER(sel(s(z0), x1)) → c51(SEL(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.29
PROPER(sel(dbls(z0), x1)) → c51(SEL(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.29
PROPER(sel(cons(z0, z1), x1)) → c51(SEL(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(sel(sel(z0, z1), x1)) → c51(SEL(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(sel(indx(z0, z1), x1)) → c51(SEL(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(sel(from(z0), x1)) → c51(SEL(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.29
PROPER(sel(dbl1(z0), x1)) → c51(SEL(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.29
PROPER(sel(s1(z0), x1)) → c51(SEL(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.29
PROPER(sel(sel1(z0, z1), x1)) → c51(SEL(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(sel(quote(z0), x1)) → c51(SEL(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.29
PROPER(sel(x0, 0)) → c51(SEL(proper(x0), ok(0)), PROPER(x0))
419.73/127.29
PROPER(sel(x0, nil)) → c51(SEL(proper(x0), ok(nil)), PROPER(x0))
419.73/127.29
PROPER(sel(x0, 01)) → c51(SEL(proper(x0), ok(01)), PROPER(x0))
419.73/127.29
PROPER(sel(0, x1)) → c51(SEL(ok(0), proper(x1)), PROPER(x1))
419.73/127.29
PROPER(sel(nil, x1)) → c51(SEL(ok(nil), proper(x1)), PROPER(x1))
419.73/127.29
PROPER(sel(01, x1)) → c51(SEL(ok(01), proper(x1)), PROPER(x1))
419.73/127.29
PROPER(indx(x0, dbl(z0))) → c52(INDX(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.29
PROPER(indx(x0, s(z0))) → c52(INDX(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.29
PROPER(indx(x0, dbls(z0))) → c52(INDX(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.29
PROPER(indx(x0, cons(z0, z1))) → c52(INDX(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.29
PROPER(indx(x0, sel(z0, z1))) → c52(INDX(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.29
PROPER(indx(x0, indx(z0, z1))) → c52(INDX(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.29
PROPER(indx(x0, from(z0))) → c52(INDX(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.29
PROPER(indx(x0, dbl1(z0))) → c52(INDX(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.29
PROPER(indx(x0, s1(z0))) → c52(INDX(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.29
PROPER(indx(x0, sel1(z0, z1))) → c52(INDX(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.29
PROPER(indx(x0, quote(z0))) → c52(INDX(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.29
PROPER(indx(dbl(z0), x1)) → c52(INDX(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.29
PROPER(indx(s(z0), x1)) → c52(INDX(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.29
PROPER(indx(dbls(z0), x1)) → c52(INDX(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.29
PROPER(indx(cons(z0, z1), x1)) → c52(INDX(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(indx(sel(z0, z1), x1)) → c52(INDX(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(indx(indx(z0, z1), x1)) → c52(INDX(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(indx(from(z0), x1)) → c52(INDX(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.29
PROPER(indx(dbl1(z0), x1)) → c52(INDX(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.29
PROPER(indx(s1(z0), x1)) → c52(INDX(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.29
PROPER(indx(sel1(z0, z1), x1)) → c52(INDX(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(indx(quote(z0), x1)) → c52(INDX(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.29
PROPER(indx(x0, 0)) → c52(INDX(proper(x0), ok(0)), PROPER(x0))
419.73/127.29
PROPER(indx(x0, nil)) → c52(INDX(proper(x0), ok(nil)), PROPER(x0))
419.73/127.29
PROPER(indx(x0, 01)) → c52(INDX(proper(x0), ok(01)), PROPER(x0))
419.73/127.29
PROPER(indx(0, x1)) → c52(INDX(ok(0), proper(x1)), PROPER(x1))
419.73/127.29
PROPER(indx(nil, x1)) → c52(INDX(ok(nil), proper(x1)), PROPER(x1))
419.73/127.29
PROPER(indx(01, x1)) → c52(INDX(ok(01), proper(x1)), PROPER(x1))
419.73/127.29
PROPER(from(dbl(z0))) → c53(FROM(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.29
PROPER(from(s(z0))) → c53(FROM(s(proper(z0))), PROPER(s(z0)))
419.73/127.29
PROPER(from(dbls(z0))) → c53(FROM(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.29
PROPER(from(cons(z0, z1))) → c53(FROM(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.29
PROPER(from(sel(z0, z1))) → c53(FROM(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.29
PROPER(from(indx(z0, z1))) → c53(FROM(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.29
PROPER(from(from(z0))) → c53(FROM(from(proper(z0))), PROPER(from(z0)))
419.73/127.29
PROPER(from(dbl1(z0))) → c53(FROM(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.29
PROPER(from(s1(z0))) → c53(FROM(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.29
PROPER(from(sel1(z0, z1))) → c53(FROM(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.29
PROPER(from(quote(z0))) → c53(FROM(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.29
PROPER(from(0)) → c53(FROM(ok(0)))
419.73/127.29
PROPER(from(nil)) → c53(FROM(ok(nil)))
419.73/127.29
PROPER(from(01)) → c53(FROM(ok(01)))
419.73/127.29
PROPER(dbl1(dbl(z0))) → c54(DBL1(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.29
PROPER(dbl1(s(z0))) → c54(DBL1(s(proper(z0))), PROPER(s(z0)))
419.73/127.29
PROPER(dbl1(dbls(z0))) → c54(DBL1(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.29
PROPER(dbl1(cons(z0, z1))) → c54(DBL1(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.29
PROPER(dbl1(sel(z0, z1))) → c54(DBL1(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.29
PROPER(dbl1(indx(z0, z1))) → c54(DBL1(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.29
PROPER(dbl1(from(z0))) → c54(DBL1(from(proper(z0))), PROPER(from(z0)))
419.73/127.29
PROPER(dbl1(dbl1(z0))) → c54(DBL1(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.29
PROPER(dbl1(s1(z0))) → c54(DBL1(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.29
PROPER(dbl1(sel1(z0, z1))) → c54(DBL1(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.29
PROPER(dbl1(quote(z0))) → c54(DBL1(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.29
PROPER(dbl1(0)) → c54(DBL1(ok(0)))
419.73/127.29
PROPER(dbl1(nil)) → c54(DBL1(ok(nil)))
419.73/127.29
PROPER(dbl1(01)) → c54(DBL1(ok(01)))
419.73/127.29
PROPER(s1(dbl(z0))) → c56(S1(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.29
PROPER(s1(s(z0))) → c56(S1(s(proper(z0))), PROPER(s(z0)))
419.73/127.29
PROPER(s1(dbls(z0))) → c56(S1(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.29
PROPER(s1(cons(z0, z1))) → c56(S1(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.29
PROPER(s1(sel(z0, z1))) → c56(S1(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.29
PROPER(s1(indx(z0, z1))) → c56(S1(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.29
PROPER(s1(from(z0))) → c56(S1(from(proper(z0))), PROPER(from(z0)))
419.73/127.29
PROPER(s1(dbl1(z0))) → c56(S1(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.29
PROPER(s1(s1(z0))) → c56(S1(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.29
PROPER(s1(sel1(z0, z1))) → c56(S1(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.29
PROPER(s1(quote(z0))) → c56(S1(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.29
PROPER(s1(0)) → c56(S1(ok(0)))
419.73/127.29
PROPER(s1(nil)) → c56(S1(ok(nil)))
419.73/127.29
PROPER(s1(01)) → c56(S1(ok(01)))
419.73/127.29
PROPER(sel1(x0, dbl(z0))) → c57(SEL1(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.29
PROPER(sel1(x0, s(z0))) → c57(SEL1(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.29
PROPER(sel1(x0, dbls(z0))) → c57(SEL1(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.29
PROPER(sel1(x0, cons(z0, z1))) → c57(SEL1(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.29
PROPER(sel1(x0, sel(z0, z1))) → c57(SEL1(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.29
PROPER(sel1(x0, indx(z0, z1))) → c57(SEL1(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.29
PROPER(sel1(x0, from(z0))) → c57(SEL1(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.29
PROPER(sel1(x0, dbl1(z0))) → c57(SEL1(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.29
PROPER(sel1(x0, s1(z0))) → c57(SEL1(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.29
PROPER(sel1(x0, sel1(z0, z1))) → c57(SEL1(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.29
PROPER(sel1(x0, quote(z0))) → c57(SEL1(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.29
PROPER(sel1(dbl(z0), x1)) → c57(SEL1(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.29
PROPER(sel1(s(z0), x1)) → c57(SEL1(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.29
PROPER(sel1(dbls(z0), x1)) → c57(SEL1(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.29
PROPER(sel1(cons(z0, z1), x1)) → c57(SEL1(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(sel1(sel(z0, z1), x1)) → c57(SEL1(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(sel1(indx(z0, z1), x1)) → c57(SEL1(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(sel1(from(z0), x1)) → c57(SEL1(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.29
PROPER(sel1(dbl1(z0), x1)) → c57(SEL1(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.29
PROPER(sel1(s1(z0), x1)) → c57(SEL1(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.29
PROPER(sel1(sel1(z0, z1), x1)) → c57(SEL1(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(sel1(quote(z0), x1)) → c57(SEL1(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.29
PROPER(sel1(x0, 0)) → c57(SEL1(proper(x0), ok(0)), PROPER(x0))
419.73/127.29
PROPER(sel1(x0, nil)) → c57(SEL1(proper(x0), ok(nil)), PROPER(x0))
419.73/127.29
PROPER(sel1(x0, 01)) → c57(SEL1(proper(x0), ok(01)), PROPER(x0))
419.73/127.29
PROPER(sel1(0, x1)) → c57(SEL1(ok(0), proper(x1)), PROPER(x1))
419.73/127.29
PROPER(sel1(nil, x1)) → c57(SEL1(ok(nil), proper(x1)), PROPER(x1))
419.73/127.29
PROPER(sel1(01, x1)) → c57(SEL1(ok(01), proper(x1)), PROPER(x1))
419.73/127.29
PROPER(quote(dbl(z0))) → c58(QUOTE(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.29
PROPER(quote(s(z0))) → c58(QUOTE(s(proper(z0))), PROPER(s(z0)))
419.73/127.29
PROPER(quote(dbls(z0))) → c58(QUOTE(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.29
PROPER(quote(cons(z0, z1))) → c58(QUOTE(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.29
PROPER(quote(sel(z0, z1))) → c58(QUOTE(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.29
PROPER(quote(indx(z0, z1))) → c58(QUOTE(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.29
PROPER(quote(from(z0))) → c58(QUOTE(from(proper(z0))), PROPER(from(z0)))
419.73/127.29
PROPER(quote(dbl1(z0))) → c58(QUOTE(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.29
PROPER(quote(s1(z0))) → c58(QUOTE(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.29
PROPER(quote(sel1(z0, z1))) → c58(QUOTE(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.29
PROPER(quote(quote(z0))) → c58(QUOTE(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.29
PROPER(quote(0)) → c58(QUOTE(ok(0)))
419.73/127.29
PROPER(quote(nil)) → c58(QUOTE(ok(nil)))
419.73/127.29
PROPER(quote(01)) → c58(QUOTE(ok(01)))
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
ACTIVE, DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, S, CONS, FROM, TOP, PROPER
Compound Symbols:
c5, c12, c15, c16, c19, c20, c24, c25, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c59, c60, c61, c62, c63, c8, c, c17, c17, c1, c18, c18, c2, c21, c21, c3, c22, c22, c4, c23, c23, c6, c26, c26, c7, c45, c45, c47, c47, c48, c48, c50, c50, c51, c51, c52, c52, c53, c53, c54, c54, c56, c56, c57, c57, c58, c58
419.73/127.29
419.73/127.29
(87) CdtNarrowingProof (BOTH BOUNDS(ID, ID) transformation)
Use narrowing to replace
TOP(
mark(
z0)) →
c62(
TOP(
proper(
z0)),
PROPER(
z0)) by
TOP(mark(dbl(z0))) → c62(TOP(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.29
TOP(mark(0)) → c62(TOP(ok(0)), PROPER(0))
419.73/127.29
TOP(mark(s(z0))) → c62(TOP(s(proper(z0))), PROPER(s(z0)))
419.73/127.29
TOP(mark(dbls(z0))) → c62(TOP(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.29
TOP(mark(nil)) → c62(TOP(ok(nil)), PROPER(nil))
419.73/127.29
TOP(mark(cons(z0, z1))) → c62(TOP(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.29
TOP(mark(sel(z0, z1))) → c62(TOP(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.29
TOP(mark(indx(z0, z1))) → c62(TOP(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.29
TOP(mark(from(z0))) → c62(TOP(from(proper(z0))), PROPER(from(z0)))
419.73/127.29
TOP(mark(dbl1(z0))) → c62(TOP(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.29
TOP(mark(01)) → c62(TOP(ok(01)), PROPER(01))
419.73/127.29
TOP(mark(s1(z0))) → c62(TOP(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.29
TOP(mark(sel1(z0, z1))) → c62(TOP(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.29
TOP(mark(quote(z0))) → c62(TOP(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.29
419.73/127.29
(88) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
419.73/127.29
active(dbl(s(z0))) → mark(s(s(dbl(z0))))
419.73/127.29
active(dbls(nil)) → mark(nil)
419.73/127.29
active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
419.73/127.29
active(sel(0, cons(z0, z1))) → mark(z0)
419.73/127.29
active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
419.73/127.29
active(indx(nil, z0)) → mark(nil)
419.73/127.29
active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
419.73/127.29
active(from(z0)) → mark(cons(z0, from(s(z0))))
419.73/127.29
active(dbl1(0)) → mark(01)
419.73/127.29
active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
419.73/127.29
active(sel1(0, cons(z0, z1))) → mark(z0)
419.73/127.29
active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
419.73/127.29
active(quote(0)) → mark(01)
419.73/127.29
active(quote(s(z0))) → mark(s1(quote(z0)))
419.73/127.29
active(quote(dbl(z0))) → mark(dbl1(z0))
419.73/127.29
active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
419.73/127.29
active(dbl(z0)) → dbl(active(z0))
419.73/127.29
active(dbls(z0)) → dbls(active(z0))
419.73/127.29
active(sel(z0, z1)) → sel(active(z0), z1)
419.73/127.29
active(sel(z0, z1)) → sel(z0, active(z1))
419.73/127.29
active(indx(z0, z1)) → indx(active(z0), z1)
419.73/127.29
active(dbl1(z0)) → dbl1(active(z0))
419.73/127.29
active(s1(z0)) → s1(active(z0))
419.73/127.29
active(sel1(z0, z1)) → sel1(active(z0), z1)
419.73/127.29
active(sel1(z0, z1)) → sel1(z0, active(z1))
419.73/127.29
active(quote(z0)) → quote(active(z0))
419.73/127.29
dbl(mark(z0)) → mark(dbl(z0))
419.73/127.29
dbl(ok(z0)) → ok(dbl(z0))
419.73/127.29
dbls(mark(z0)) → mark(dbls(z0))
419.73/127.29
dbls(ok(z0)) → ok(dbls(z0))
419.73/127.29
sel(mark(z0), z1) → mark(sel(z0, z1))
419.73/127.29
sel(z0, mark(z1)) → mark(sel(z0, z1))
419.73/127.29
sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
419.73/127.29
indx(mark(z0), z1) → mark(indx(z0, z1))
419.73/127.29
indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
419.73/127.29
dbl1(mark(z0)) → mark(dbl1(z0))
419.73/127.29
dbl1(ok(z0)) → ok(dbl1(z0))
419.73/127.29
s1(mark(z0)) → mark(s1(z0))
419.73/127.29
s1(ok(z0)) → ok(s1(z0))
419.73/127.29
sel1(mark(z0), z1) → mark(sel1(z0, z1))
419.73/127.29
sel1(z0, mark(z1)) → mark(sel1(z0, z1))
419.73/127.29
sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
419.73/127.29
quote(mark(z0)) → mark(quote(z0))
419.73/127.29
quote(ok(z0)) → ok(quote(z0))
419.73/127.29
proper(dbl(z0)) → dbl(proper(z0))
419.73/127.29
proper(0) → ok(0)
419.73/127.29
proper(s(z0)) → s(proper(z0))
419.73/127.29
proper(dbls(z0)) → dbls(proper(z0))
419.73/127.29
proper(nil) → ok(nil)
419.73/127.29
proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
419.73/127.29
proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
419.73/127.29
proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
419.73/127.29
proper(from(z0)) → from(proper(z0))
419.73/127.29
proper(dbl1(z0)) → dbl1(proper(z0))
419.73/127.29
proper(01) → ok(01)
419.73/127.29
proper(s1(z0)) → s1(proper(z0))
419.73/127.29
proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
419.73/127.29
proper(quote(z0)) → quote(proper(z0))
419.73/127.29
s(ok(z0)) → ok(s(z0))
419.73/127.29
cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
419.73/127.29
from(ok(z0)) → ok(from(z0))
419.73/127.29
top(mark(z0)) → top(proper(z0))
419.73/127.29
top(ok(z0)) → top(active(z0))
Tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.73/127.29
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.73/127.29
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.73/127.29
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.73/127.29
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.73/127.29
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.73/127.29
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.73/127.29
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.73/127.29
DBL(mark(z0)) → c27(DBL(z0))
419.73/127.29
DBL(ok(z0)) → c28(DBL(z0))
419.73/127.29
DBLS(mark(z0)) → c29(DBLS(z0))
419.73/127.29
DBLS(ok(z0)) → c30(DBLS(z0))
419.73/127.29
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.73/127.29
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.73/127.29
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.73/127.29
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.73/127.29
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.73/127.29
DBL1(mark(z0)) → c36(DBL1(z0))
419.73/127.29
DBL1(ok(z0)) → c37(DBL1(z0))
419.73/127.29
S1(mark(z0)) → c38(S1(z0))
419.73/127.29
S1(ok(z0)) → c39(S1(z0))
419.73/127.29
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.73/127.29
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.73/127.29
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.73/127.29
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.73/127.29
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.73/127.29
S(ok(z0)) → c59(S(z0))
419.73/127.29
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.73/127.29
FROM(ok(z0)) → c61(FROM(z0))
419.73/127.29
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.73/127.29
ACTIVE(from(z0)) → c8(S(z0))
419.73/127.29
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.73/127.29
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.73/127.29
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.73/127.29
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.73/127.29
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.73/127.29
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.73/127.29
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.73/127.29
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.73/127.29
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.73/127.29
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.73/127.29
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.73/127.29
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.73/127.29
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.73/127.29
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.73/127.29
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.29
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.29
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.29
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.29
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.29
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.29
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.29
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.29
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.29
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.29
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.29
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.29
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.29
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.29
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.29
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.29
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.73/127.29
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.73/127.29
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.73/127.29
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.73/127.29
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.73/127.29
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.29
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.29
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.29
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.29
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.29
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.29
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.29
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.29
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.29
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.29
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.29
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.29
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.29
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.29
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.29
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.29
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.73/127.29
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.73/127.29
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.73/127.29
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.29
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.29
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.73/127.29
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.73/127.29
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.29
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.29
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.73/127.29
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.73/127.29
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.29
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.29
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.29
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.29
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.73/127.29
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.73/127.29
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.73/127.29
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.73/127.29
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.73/127.29
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.73/127.29
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.73/127.29
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.73/127.29
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.73/127.29
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.73/127.29
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.73/127.29
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.73/127.29
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.73/127.29
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.73/127.29
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.73/127.29
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.73/127.29
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.73/127.29
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.29
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.29
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.29
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.29
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.73/127.29
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.73/127.29
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.73/127.29
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.73/127.29
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.73/127.29
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.29
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.73/127.29
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.73/127.29
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.29
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.29
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.29
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.29
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.29
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.29
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.29
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.29
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.29
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.29
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.29
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.29
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.29
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.29
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.29
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.29
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.73/127.29
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.73/127.29
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.29
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.73/127.29
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.73/127.29
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.73/127.29
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.73/127.29
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.73/127.29
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.29
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.73/127.29
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.29
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.73/127.29
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.29
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.73/127.29
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.73/127.29
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.29
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.73/127.29
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.29
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.29
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.73/127.29
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.73/127.29
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.73/127.29
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.29
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.29
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.29
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.29
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.29
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.29
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.29
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.29
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.29
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.29
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.29
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.29
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.29
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.29
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.29
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.29
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.29
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.73/127.29
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.73/127.29
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.73/127.29
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.73/127.29
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.73/127.29
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.73/127.29
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.29
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.73/127.29
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.29
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.29
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.73/127.29
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.73/127.29
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.73/127.29
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.73/127.29
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.29
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.29
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.29
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.29
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.29
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.29
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.29
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.29
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.29
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.29
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.29
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.29
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.29
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.29
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.29
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.29
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.73/127.29
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.73/127.29
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.29
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.73/127.29
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.73/127.29
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.73/127.29
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.73/127.29
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.73/127.29
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.73/127.29
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.73/127.29
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.73/127.29
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.29
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.73/127.29
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.29
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.73/127.29
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.73/127.29
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.73/127.29
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.29
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.73/127.29
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.29
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.73/127.29
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.73/127.29
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.29
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.73/127.29
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.29
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.29
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.73/127.29
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.73/127.29
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.73/127.29
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.73/127.29
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.73/127.29
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.29
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.29
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.73/127.29
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.29
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.29
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.29
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.29
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.73/127.29
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.29
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.29
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.29
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.29
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.73/127.29
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.73/127.29
PROPER(dbl(01)) → c45(DBL(ok(01)))
419.73/127.29
PROPER(s(dbl(z0))) → c47(S(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.29
PROPER(s(s(z0))) → c47(S(s(proper(z0))), PROPER(s(z0)))
419.73/127.29
PROPER(s(dbls(z0))) → c47(S(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.29
PROPER(s(cons(z0, z1))) → c47(S(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.29
PROPER(s(sel(z0, z1))) → c47(S(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.29
PROPER(s(indx(z0, z1))) → c47(S(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.29
PROPER(s(from(z0))) → c47(S(from(proper(z0))), PROPER(from(z0)))
419.73/127.29
PROPER(s(dbl1(z0))) → c47(S(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.29
PROPER(s(s1(z0))) → c47(S(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.29
PROPER(s(sel1(z0, z1))) → c47(S(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.29
PROPER(s(quote(z0))) → c47(S(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.29
PROPER(s(0)) → c47(S(ok(0)))
419.73/127.29
PROPER(s(nil)) → c47(S(ok(nil)))
419.73/127.29
PROPER(s(01)) → c47(S(ok(01)))
419.73/127.29
PROPER(dbls(dbl(z0))) → c48(DBLS(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.29
PROPER(dbls(s(z0))) → c48(DBLS(s(proper(z0))), PROPER(s(z0)))
419.73/127.29
PROPER(dbls(dbls(z0))) → c48(DBLS(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.29
PROPER(dbls(cons(z0, z1))) → c48(DBLS(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.29
PROPER(dbls(sel(z0, z1))) → c48(DBLS(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.29
PROPER(dbls(indx(z0, z1))) → c48(DBLS(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.29
PROPER(dbls(from(z0))) → c48(DBLS(from(proper(z0))), PROPER(from(z0)))
419.73/127.29
PROPER(dbls(dbl1(z0))) → c48(DBLS(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.29
PROPER(dbls(s1(z0))) → c48(DBLS(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.29
PROPER(dbls(sel1(z0, z1))) → c48(DBLS(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.29
PROPER(dbls(quote(z0))) → c48(DBLS(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.29
PROPER(dbls(0)) → c48(DBLS(ok(0)))
419.73/127.29
PROPER(dbls(nil)) → c48(DBLS(ok(nil)))
419.73/127.29
PROPER(dbls(01)) → c48(DBLS(ok(01)))
419.73/127.29
PROPER(cons(x0, dbl(z0))) → c50(CONS(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.29
PROPER(cons(x0, s(z0))) → c50(CONS(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.29
PROPER(cons(x0, dbls(z0))) → c50(CONS(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.29
PROPER(cons(x0, cons(z0, z1))) → c50(CONS(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.29
PROPER(cons(x0, sel(z0, z1))) → c50(CONS(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.29
PROPER(cons(x0, indx(z0, z1))) → c50(CONS(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.29
PROPER(cons(x0, from(z0))) → c50(CONS(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.29
PROPER(cons(x0, dbl1(z0))) → c50(CONS(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.29
PROPER(cons(x0, s1(z0))) → c50(CONS(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.29
PROPER(cons(x0, sel1(z0, z1))) → c50(CONS(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.29
PROPER(cons(x0, quote(z0))) → c50(CONS(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.29
PROPER(cons(dbl(z0), x1)) → c50(CONS(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.29
PROPER(cons(s(z0), x1)) → c50(CONS(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.29
PROPER(cons(dbls(z0), x1)) → c50(CONS(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.29
PROPER(cons(cons(z0, z1), x1)) → c50(CONS(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(cons(sel(z0, z1), x1)) → c50(CONS(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(cons(indx(z0, z1), x1)) → c50(CONS(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(cons(from(z0), x1)) → c50(CONS(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.29
PROPER(cons(dbl1(z0), x1)) → c50(CONS(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.29
PROPER(cons(s1(z0), x1)) → c50(CONS(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.29
PROPER(cons(sel1(z0, z1), x1)) → c50(CONS(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(cons(quote(z0), x1)) → c50(CONS(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.29
PROPER(cons(x0, 0)) → c50(CONS(proper(x0), ok(0)), PROPER(x0))
419.73/127.29
PROPER(cons(x0, nil)) → c50(CONS(proper(x0), ok(nil)), PROPER(x0))
419.73/127.29
PROPER(cons(x0, 01)) → c50(CONS(proper(x0), ok(01)), PROPER(x0))
419.73/127.29
PROPER(cons(0, x1)) → c50(CONS(ok(0), proper(x1)), PROPER(x1))
419.73/127.29
PROPER(cons(nil, x1)) → c50(CONS(ok(nil), proper(x1)), PROPER(x1))
419.73/127.29
PROPER(cons(01, x1)) → c50(CONS(ok(01), proper(x1)), PROPER(x1))
419.73/127.29
PROPER(sel(x0, dbl(z0))) → c51(SEL(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.29
PROPER(sel(x0, s(z0))) → c51(SEL(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.29
PROPER(sel(x0, dbls(z0))) → c51(SEL(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.29
PROPER(sel(x0, cons(z0, z1))) → c51(SEL(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.29
PROPER(sel(x0, sel(z0, z1))) → c51(SEL(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.29
PROPER(sel(x0, indx(z0, z1))) → c51(SEL(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.29
PROPER(sel(x0, from(z0))) → c51(SEL(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.29
PROPER(sel(x0, dbl1(z0))) → c51(SEL(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.29
PROPER(sel(x0, s1(z0))) → c51(SEL(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.29
PROPER(sel(x0, sel1(z0, z1))) → c51(SEL(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.29
PROPER(sel(x0, quote(z0))) → c51(SEL(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.29
PROPER(sel(dbl(z0), x1)) → c51(SEL(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.29
PROPER(sel(s(z0), x1)) → c51(SEL(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.29
PROPER(sel(dbls(z0), x1)) → c51(SEL(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.29
PROPER(sel(cons(z0, z1), x1)) → c51(SEL(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(sel(sel(z0, z1), x1)) → c51(SEL(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(sel(indx(z0, z1), x1)) → c51(SEL(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(sel(from(z0), x1)) → c51(SEL(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.29
PROPER(sel(dbl1(z0), x1)) → c51(SEL(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.29
PROPER(sel(s1(z0), x1)) → c51(SEL(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.29
PROPER(sel(sel1(z0, z1), x1)) → c51(SEL(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(sel(quote(z0), x1)) → c51(SEL(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.29
PROPER(sel(x0, 0)) → c51(SEL(proper(x0), ok(0)), PROPER(x0))
419.73/127.29
PROPER(sel(x0, nil)) → c51(SEL(proper(x0), ok(nil)), PROPER(x0))
419.73/127.29
PROPER(sel(x0, 01)) → c51(SEL(proper(x0), ok(01)), PROPER(x0))
419.73/127.29
PROPER(sel(0, x1)) → c51(SEL(ok(0), proper(x1)), PROPER(x1))
419.73/127.29
PROPER(sel(nil, x1)) → c51(SEL(ok(nil), proper(x1)), PROPER(x1))
419.73/127.29
PROPER(sel(01, x1)) → c51(SEL(ok(01), proper(x1)), PROPER(x1))
419.73/127.29
PROPER(indx(x0, dbl(z0))) → c52(INDX(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.29
PROPER(indx(x0, s(z0))) → c52(INDX(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.29
PROPER(indx(x0, dbls(z0))) → c52(INDX(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.29
PROPER(indx(x0, cons(z0, z1))) → c52(INDX(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.29
PROPER(indx(x0, sel(z0, z1))) → c52(INDX(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.29
PROPER(indx(x0, indx(z0, z1))) → c52(INDX(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.29
PROPER(indx(x0, from(z0))) → c52(INDX(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.29
PROPER(indx(x0, dbl1(z0))) → c52(INDX(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.29
PROPER(indx(x0, s1(z0))) → c52(INDX(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.29
PROPER(indx(x0, sel1(z0, z1))) → c52(INDX(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.29
PROPER(indx(x0, quote(z0))) → c52(INDX(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.29
PROPER(indx(dbl(z0), x1)) → c52(INDX(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.29
PROPER(indx(s(z0), x1)) → c52(INDX(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.29
PROPER(indx(dbls(z0), x1)) → c52(INDX(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.29
PROPER(indx(cons(z0, z1), x1)) → c52(INDX(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(indx(sel(z0, z1), x1)) → c52(INDX(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(indx(indx(z0, z1), x1)) → c52(INDX(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(indx(from(z0), x1)) → c52(INDX(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.29
PROPER(indx(dbl1(z0), x1)) → c52(INDX(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.29
PROPER(indx(s1(z0), x1)) → c52(INDX(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.29
PROPER(indx(sel1(z0, z1), x1)) → c52(INDX(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(indx(quote(z0), x1)) → c52(INDX(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.29
PROPER(indx(x0, 0)) → c52(INDX(proper(x0), ok(0)), PROPER(x0))
419.73/127.29
PROPER(indx(x0, nil)) → c52(INDX(proper(x0), ok(nil)), PROPER(x0))
419.73/127.29
PROPER(indx(x0, 01)) → c52(INDX(proper(x0), ok(01)), PROPER(x0))
419.73/127.29
PROPER(indx(0, x1)) → c52(INDX(ok(0), proper(x1)), PROPER(x1))
419.73/127.29
PROPER(indx(nil, x1)) → c52(INDX(ok(nil), proper(x1)), PROPER(x1))
419.73/127.29
PROPER(indx(01, x1)) → c52(INDX(ok(01), proper(x1)), PROPER(x1))
419.73/127.29
PROPER(from(dbl(z0))) → c53(FROM(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.29
PROPER(from(s(z0))) → c53(FROM(s(proper(z0))), PROPER(s(z0)))
419.73/127.29
PROPER(from(dbls(z0))) → c53(FROM(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.29
PROPER(from(cons(z0, z1))) → c53(FROM(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.29
PROPER(from(sel(z0, z1))) → c53(FROM(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.29
PROPER(from(indx(z0, z1))) → c53(FROM(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.29
PROPER(from(from(z0))) → c53(FROM(from(proper(z0))), PROPER(from(z0)))
419.73/127.29
PROPER(from(dbl1(z0))) → c53(FROM(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.29
PROPER(from(s1(z0))) → c53(FROM(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.29
PROPER(from(sel1(z0, z1))) → c53(FROM(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.29
PROPER(from(quote(z0))) → c53(FROM(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.29
PROPER(from(0)) → c53(FROM(ok(0)))
419.73/127.29
PROPER(from(nil)) → c53(FROM(ok(nil)))
419.73/127.29
PROPER(from(01)) → c53(FROM(ok(01)))
419.73/127.29
PROPER(dbl1(dbl(z0))) → c54(DBL1(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.29
PROPER(dbl1(s(z0))) → c54(DBL1(s(proper(z0))), PROPER(s(z0)))
419.73/127.29
PROPER(dbl1(dbls(z0))) → c54(DBL1(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.29
PROPER(dbl1(cons(z0, z1))) → c54(DBL1(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.29
PROPER(dbl1(sel(z0, z1))) → c54(DBL1(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.29
PROPER(dbl1(indx(z0, z1))) → c54(DBL1(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.29
PROPER(dbl1(from(z0))) → c54(DBL1(from(proper(z0))), PROPER(from(z0)))
419.73/127.29
PROPER(dbl1(dbl1(z0))) → c54(DBL1(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.29
PROPER(dbl1(s1(z0))) → c54(DBL1(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.29
PROPER(dbl1(sel1(z0, z1))) → c54(DBL1(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.29
PROPER(dbl1(quote(z0))) → c54(DBL1(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.29
PROPER(dbl1(0)) → c54(DBL1(ok(0)))
419.73/127.29
PROPER(dbl1(nil)) → c54(DBL1(ok(nil)))
419.73/127.29
PROPER(dbl1(01)) → c54(DBL1(ok(01)))
419.73/127.29
PROPER(s1(dbl(z0))) → c56(S1(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.29
PROPER(s1(s(z0))) → c56(S1(s(proper(z0))), PROPER(s(z0)))
419.73/127.29
PROPER(s1(dbls(z0))) → c56(S1(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.29
PROPER(s1(cons(z0, z1))) → c56(S1(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.29
PROPER(s1(sel(z0, z1))) → c56(S1(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.29
PROPER(s1(indx(z0, z1))) → c56(S1(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.29
PROPER(s1(from(z0))) → c56(S1(from(proper(z0))), PROPER(from(z0)))
419.73/127.29
PROPER(s1(dbl1(z0))) → c56(S1(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.29
PROPER(s1(s1(z0))) → c56(S1(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.29
PROPER(s1(sel1(z0, z1))) → c56(S1(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.29
PROPER(s1(quote(z0))) → c56(S1(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.29
PROPER(s1(0)) → c56(S1(ok(0)))
419.73/127.29
PROPER(s1(nil)) → c56(S1(ok(nil)))
419.73/127.29
PROPER(s1(01)) → c56(S1(ok(01)))
419.73/127.29
PROPER(sel1(x0, dbl(z0))) → c57(SEL1(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.29
PROPER(sel1(x0, s(z0))) → c57(SEL1(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.29
PROPER(sel1(x0, dbls(z0))) → c57(SEL1(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.29
PROPER(sel1(x0, cons(z0, z1))) → c57(SEL1(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.29
PROPER(sel1(x0, sel(z0, z1))) → c57(SEL1(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.29
PROPER(sel1(x0, indx(z0, z1))) → c57(SEL1(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.29
PROPER(sel1(x0, from(z0))) → c57(SEL1(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.29
PROPER(sel1(x0, dbl1(z0))) → c57(SEL1(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.29
PROPER(sel1(x0, s1(z0))) → c57(SEL1(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.29
PROPER(sel1(x0, sel1(z0, z1))) → c57(SEL1(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.29
PROPER(sel1(x0, quote(z0))) → c57(SEL1(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.29
PROPER(sel1(dbl(z0), x1)) → c57(SEL1(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.29
PROPER(sel1(s(z0), x1)) → c57(SEL1(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.29
PROPER(sel1(dbls(z0), x1)) → c57(SEL1(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.29
PROPER(sel1(cons(z0, z1), x1)) → c57(SEL1(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(sel1(sel(z0, z1), x1)) → c57(SEL1(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(sel1(indx(z0, z1), x1)) → c57(SEL1(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(sel1(from(z0), x1)) → c57(SEL1(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.29
PROPER(sel1(dbl1(z0), x1)) → c57(SEL1(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.29
PROPER(sel1(s1(z0), x1)) → c57(SEL1(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.29
PROPER(sel1(sel1(z0, z1), x1)) → c57(SEL1(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(sel1(quote(z0), x1)) → c57(SEL1(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.29
PROPER(sel1(x0, 0)) → c57(SEL1(proper(x0), ok(0)), PROPER(x0))
419.73/127.29
PROPER(sel1(x0, nil)) → c57(SEL1(proper(x0), ok(nil)), PROPER(x0))
419.73/127.29
PROPER(sel1(x0, 01)) → c57(SEL1(proper(x0), ok(01)), PROPER(x0))
419.73/127.29
PROPER(sel1(0, x1)) → c57(SEL1(ok(0), proper(x1)), PROPER(x1))
419.73/127.29
PROPER(sel1(nil, x1)) → c57(SEL1(ok(nil), proper(x1)), PROPER(x1))
419.73/127.29
PROPER(sel1(01, x1)) → c57(SEL1(ok(01), proper(x1)), PROPER(x1))
419.73/127.29
PROPER(quote(dbl(z0))) → c58(QUOTE(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.29
PROPER(quote(s(z0))) → c58(QUOTE(s(proper(z0))), PROPER(s(z0)))
419.73/127.29
PROPER(quote(dbls(z0))) → c58(QUOTE(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.29
PROPER(quote(cons(z0, z1))) → c58(QUOTE(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.29
PROPER(quote(sel(z0, z1))) → c58(QUOTE(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.29
PROPER(quote(indx(z0, z1))) → c58(QUOTE(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.29
PROPER(quote(from(z0))) → c58(QUOTE(from(proper(z0))), PROPER(from(z0)))
419.73/127.29
PROPER(quote(dbl1(z0))) → c58(QUOTE(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.29
PROPER(quote(s1(z0))) → c58(QUOTE(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.29
PROPER(quote(sel1(z0, z1))) → c58(QUOTE(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.29
PROPER(quote(quote(z0))) → c58(QUOTE(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.29
PROPER(quote(0)) → c58(QUOTE(ok(0)))
419.73/127.29
PROPER(quote(nil)) → c58(QUOTE(ok(nil)))
419.73/127.29
PROPER(quote(01)) → c58(QUOTE(ok(01)))
419.73/127.29
TOP(mark(dbl(z0))) → c62(TOP(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.29
TOP(mark(0)) → c62(TOP(ok(0)), PROPER(0))
419.73/127.29
TOP(mark(s(z0))) → c62(TOP(s(proper(z0))), PROPER(s(z0)))
419.73/127.29
TOP(mark(dbls(z0))) → c62(TOP(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.29
TOP(mark(nil)) → c62(TOP(ok(nil)), PROPER(nil))
419.73/127.29
TOP(mark(cons(z0, z1))) → c62(TOP(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.29
TOP(mark(sel(z0, z1))) → c62(TOP(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.29
TOP(mark(indx(z0, z1))) → c62(TOP(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.29
TOP(mark(from(z0))) → c62(TOP(from(proper(z0))), PROPER(from(z0)))
419.73/127.29
TOP(mark(dbl1(z0))) → c62(TOP(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.29
TOP(mark(01)) → c62(TOP(ok(01)), PROPER(01))
419.73/127.29
TOP(mark(s1(z0))) → c62(TOP(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.29
TOP(mark(sel1(z0, z1))) → c62(TOP(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.29
TOP(mark(quote(z0))) → c62(TOP(quote(proper(z0))), PROPER(quote(z0)))
S tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.73/127.29
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.73/127.29
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.73/127.29
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.73/127.29
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.73/127.29
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.73/127.29
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.73/127.29
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.73/127.29
DBL(mark(z0)) → c27(DBL(z0))
419.73/127.29
DBL(ok(z0)) → c28(DBL(z0))
419.73/127.29
DBLS(mark(z0)) → c29(DBLS(z0))
419.73/127.29
DBLS(ok(z0)) → c30(DBLS(z0))
419.73/127.29
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.73/127.29
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.73/127.29
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.73/127.29
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.73/127.29
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.73/127.29
DBL1(mark(z0)) → c36(DBL1(z0))
419.73/127.29
DBL1(ok(z0)) → c37(DBL1(z0))
419.73/127.29
S1(mark(z0)) → c38(S1(z0))
419.73/127.29
S1(ok(z0)) → c39(S1(z0))
419.73/127.29
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.73/127.29
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.73/127.29
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.73/127.29
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.73/127.29
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.73/127.29
S(ok(z0)) → c59(S(z0))
419.73/127.29
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.73/127.29
FROM(ok(z0)) → c61(FROM(z0))
419.73/127.29
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.73/127.29
ACTIVE(from(z0)) → c8(S(z0))
419.73/127.29
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.73/127.29
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.73/127.29
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.73/127.29
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.73/127.29
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.73/127.29
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.73/127.29
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.73/127.29
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.73/127.29
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.73/127.29
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.73/127.29
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.73/127.29
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.73/127.29
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.73/127.29
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.73/127.29
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.29
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.29
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.29
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.29
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.29
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.29
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.29
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.29
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.29
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.29
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.29
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.29
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.29
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.29
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.29
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.29
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.73/127.29
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.73/127.29
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.73/127.29
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.73/127.29
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.73/127.29
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.29
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.29
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.29
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.29
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.29
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.29
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.29
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.29
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.29
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.29
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.29
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.29
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.29
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.29
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.29
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.29
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.73/127.29
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.73/127.29
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.73/127.29
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.29
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.29
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.73/127.29
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.73/127.29
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.29
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.29
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.73/127.29
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.73/127.29
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.29
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.29
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.29
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.29
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.73/127.29
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.73/127.29
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.73/127.29
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.73/127.29
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.73/127.29
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.73/127.29
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.73/127.29
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.73/127.29
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.73/127.29
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.73/127.29
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.73/127.29
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.73/127.29
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.73/127.29
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.73/127.29
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.73/127.29
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.73/127.29
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.73/127.29
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.29
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.29
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.29
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.29
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.73/127.29
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.73/127.29
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.73/127.29
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.73/127.29
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.73/127.29
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.29
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.73/127.29
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.73/127.29
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.29
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.29
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.29
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.29
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.29
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.29
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.29
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.29
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.29
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.29
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.29
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.29
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.29
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.29
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.29
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.29
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.73/127.29
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.73/127.29
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.29
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.73/127.29
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.73/127.29
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.73/127.29
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.73/127.29
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.73/127.29
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.29
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.73/127.29
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.29
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.73/127.29
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.29
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.73/127.29
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.73/127.29
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.29
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.73/127.29
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.29
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.29
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.73/127.29
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.73/127.29
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.73/127.29
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.29
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.29
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.29
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.29
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.29
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.29
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.29
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.29
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.29
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.29
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.29
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.29
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.29
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.29
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.29
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.29
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.29
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.73/127.29
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.73/127.29
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.73/127.29
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.73/127.29
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.73/127.29
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.73/127.29
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.29
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.73/127.29
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.29
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.29
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.73/127.29
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.73/127.29
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.73/127.29
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.73/127.29
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.29
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.29
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.29
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.29
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.29
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.29
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.29
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.29
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.29
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.29
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.29
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.29
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.29
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.29
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.29
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.29
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.73/127.29
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.73/127.29
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.29
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.73/127.29
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.73/127.29
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.73/127.29
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.73/127.29
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.73/127.29
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.73/127.29
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.73/127.29
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.73/127.29
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.29
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.73/127.29
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.29
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.73/127.29
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.73/127.29
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.73/127.29
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.29
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.73/127.29
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.29
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.73/127.29
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.73/127.29
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.29
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.73/127.29
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.29
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.29
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.73/127.29
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.73/127.29
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.73/127.29
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.73/127.29
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.73/127.29
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.29
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.29
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.73/127.29
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.29
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.29
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.29
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.29
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.73/127.29
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.29
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.29
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.29
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.29
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.73/127.29
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.73/127.29
PROPER(dbl(01)) → c45(DBL(ok(01)))
419.73/127.29
PROPER(s(dbl(z0))) → c47(S(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.29
PROPER(s(s(z0))) → c47(S(s(proper(z0))), PROPER(s(z0)))
419.73/127.29
PROPER(s(dbls(z0))) → c47(S(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.29
PROPER(s(cons(z0, z1))) → c47(S(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.29
PROPER(s(sel(z0, z1))) → c47(S(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.29
PROPER(s(indx(z0, z1))) → c47(S(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.29
PROPER(s(from(z0))) → c47(S(from(proper(z0))), PROPER(from(z0)))
419.73/127.29
PROPER(s(dbl1(z0))) → c47(S(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.29
PROPER(s(s1(z0))) → c47(S(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.29
PROPER(s(sel1(z0, z1))) → c47(S(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.29
PROPER(s(quote(z0))) → c47(S(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.29
PROPER(s(0)) → c47(S(ok(0)))
419.73/127.29
PROPER(s(nil)) → c47(S(ok(nil)))
419.73/127.29
PROPER(s(01)) → c47(S(ok(01)))
419.73/127.29
PROPER(dbls(dbl(z0))) → c48(DBLS(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.29
PROPER(dbls(s(z0))) → c48(DBLS(s(proper(z0))), PROPER(s(z0)))
419.73/127.29
PROPER(dbls(dbls(z0))) → c48(DBLS(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.29
PROPER(dbls(cons(z0, z1))) → c48(DBLS(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.29
PROPER(dbls(sel(z0, z1))) → c48(DBLS(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.29
PROPER(dbls(indx(z0, z1))) → c48(DBLS(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.29
PROPER(dbls(from(z0))) → c48(DBLS(from(proper(z0))), PROPER(from(z0)))
419.73/127.29
PROPER(dbls(dbl1(z0))) → c48(DBLS(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.29
PROPER(dbls(s1(z0))) → c48(DBLS(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.29
PROPER(dbls(sel1(z0, z1))) → c48(DBLS(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.29
PROPER(dbls(quote(z0))) → c48(DBLS(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.29
PROPER(dbls(0)) → c48(DBLS(ok(0)))
419.73/127.29
PROPER(dbls(nil)) → c48(DBLS(ok(nil)))
419.73/127.29
PROPER(dbls(01)) → c48(DBLS(ok(01)))
419.73/127.29
PROPER(cons(x0, dbl(z0))) → c50(CONS(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.29
PROPER(cons(x0, s(z0))) → c50(CONS(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.29
PROPER(cons(x0, dbls(z0))) → c50(CONS(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.29
PROPER(cons(x0, cons(z0, z1))) → c50(CONS(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.29
PROPER(cons(x0, sel(z0, z1))) → c50(CONS(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.29
PROPER(cons(x0, indx(z0, z1))) → c50(CONS(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.29
PROPER(cons(x0, from(z0))) → c50(CONS(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.29
PROPER(cons(x0, dbl1(z0))) → c50(CONS(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.29
PROPER(cons(x0, s1(z0))) → c50(CONS(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.29
PROPER(cons(x0, sel1(z0, z1))) → c50(CONS(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.29
PROPER(cons(x0, quote(z0))) → c50(CONS(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.29
PROPER(cons(dbl(z0), x1)) → c50(CONS(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.29
PROPER(cons(s(z0), x1)) → c50(CONS(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.29
PROPER(cons(dbls(z0), x1)) → c50(CONS(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.29
PROPER(cons(cons(z0, z1), x1)) → c50(CONS(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(cons(sel(z0, z1), x1)) → c50(CONS(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(cons(indx(z0, z1), x1)) → c50(CONS(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(cons(from(z0), x1)) → c50(CONS(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.29
PROPER(cons(dbl1(z0), x1)) → c50(CONS(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.29
PROPER(cons(s1(z0), x1)) → c50(CONS(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.29
PROPER(cons(sel1(z0, z1), x1)) → c50(CONS(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(cons(quote(z0), x1)) → c50(CONS(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.29
PROPER(cons(x0, 0)) → c50(CONS(proper(x0), ok(0)), PROPER(x0))
419.73/127.29
PROPER(cons(x0, nil)) → c50(CONS(proper(x0), ok(nil)), PROPER(x0))
419.73/127.29
PROPER(cons(x0, 01)) → c50(CONS(proper(x0), ok(01)), PROPER(x0))
419.73/127.29
PROPER(cons(0, x1)) → c50(CONS(ok(0), proper(x1)), PROPER(x1))
419.73/127.29
PROPER(cons(nil, x1)) → c50(CONS(ok(nil), proper(x1)), PROPER(x1))
419.73/127.29
PROPER(cons(01, x1)) → c50(CONS(ok(01), proper(x1)), PROPER(x1))
419.73/127.29
PROPER(sel(x0, dbl(z0))) → c51(SEL(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.29
PROPER(sel(x0, s(z0))) → c51(SEL(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.29
PROPER(sel(x0, dbls(z0))) → c51(SEL(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.29
PROPER(sel(x0, cons(z0, z1))) → c51(SEL(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.29
PROPER(sel(x0, sel(z0, z1))) → c51(SEL(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.29
PROPER(sel(x0, indx(z0, z1))) → c51(SEL(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.29
PROPER(sel(x0, from(z0))) → c51(SEL(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.29
PROPER(sel(x0, dbl1(z0))) → c51(SEL(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.29
PROPER(sel(x0, s1(z0))) → c51(SEL(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.29
PROPER(sel(x0, sel1(z0, z1))) → c51(SEL(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.29
PROPER(sel(x0, quote(z0))) → c51(SEL(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.29
PROPER(sel(dbl(z0), x1)) → c51(SEL(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.29
PROPER(sel(s(z0), x1)) → c51(SEL(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.29
PROPER(sel(dbls(z0), x1)) → c51(SEL(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.29
PROPER(sel(cons(z0, z1), x1)) → c51(SEL(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(sel(sel(z0, z1), x1)) → c51(SEL(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(sel(indx(z0, z1), x1)) → c51(SEL(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(sel(from(z0), x1)) → c51(SEL(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.29
PROPER(sel(dbl1(z0), x1)) → c51(SEL(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.29
PROPER(sel(s1(z0), x1)) → c51(SEL(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.29
PROPER(sel(sel1(z0, z1), x1)) → c51(SEL(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(sel(quote(z0), x1)) → c51(SEL(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.29
PROPER(sel(x0, 0)) → c51(SEL(proper(x0), ok(0)), PROPER(x0))
419.73/127.29
PROPER(sel(x0, nil)) → c51(SEL(proper(x0), ok(nil)), PROPER(x0))
419.73/127.29
PROPER(sel(x0, 01)) → c51(SEL(proper(x0), ok(01)), PROPER(x0))
419.73/127.29
PROPER(sel(0, x1)) → c51(SEL(ok(0), proper(x1)), PROPER(x1))
419.73/127.29
PROPER(sel(nil, x1)) → c51(SEL(ok(nil), proper(x1)), PROPER(x1))
419.73/127.29
PROPER(sel(01, x1)) → c51(SEL(ok(01), proper(x1)), PROPER(x1))
419.73/127.29
PROPER(indx(x0, dbl(z0))) → c52(INDX(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.29
PROPER(indx(x0, s(z0))) → c52(INDX(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.29
PROPER(indx(x0, dbls(z0))) → c52(INDX(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.29
PROPER(indx(x0, cons(z0, z1))) → c52(INDX(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.29
PROPER(indx(x0, sel(z0, z1))) → c52(INDX(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.29
PROPER(indx(x0, indx(z0, z1))) → c52(INDX(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.29
PROPER(indx(x0, from(z0))) → c52(INDX(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.29
PROPER(indx(x0, dbl1(z0))) → c52(INDX(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.29
PROPER(indx(x0, s1(z0))) → c52(INDX(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.29
PROPER(indx(x0, sel1(z0, z1))) → c52(INDX(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.29
PROPER(indx(x0, quote(z0))) → c52(INDX(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.29
PROPER(indx(dbl(z0), x1)) → c52(INDX(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.29
PROPER(indx(s(z0), x1)) → c52(INDX(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.29
PROPER(indx(dbls(z0), x1)) → c52(INDX(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.29
PROPER(indx(cons(z0, z1), x1)) → c52(INDX(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(indx(sel(z0, z1), x1)) → c52(INDX(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(indx(indx(z0, z1), x1)) → c52(INDX(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(indx(from(z0), x1)) → c52(INDX(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.29
PROPER(indx(dbl1(z0), x1)) → c52(INDX(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.29
PROPER(indx(s1(z0), x1)) → c52(INDX(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.29
PROPER(indx(sel1(z0, z1), x1)) → c52(INDX(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.29
PROPER(indx(quote(z0), x1)) → c52(INDX(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.29
PROPER(indx(x0, 0)) → c52(INDX(proper(x0), ok(0)), PROPER(x0))
419.73/127.29
PROPER(indx(x0, nil)) → c52(INDX(proper(x0), ok(nil)), PROPER(x0))
419.73/127.29
PROPER(indx(x0, 01)) → c52(INDX(proper(x0), ok(01)), PROPER(x0))
419.73/127.29
PROPER(indx(0, x1)) → c52(INDX(ok(0), proper(x1)), PROPER(x1))
419.73/127.29
PROPER(indx(nil, x1)) → c52(INDX(ok(nil), proper(x1)), PROPER(x1))
419.73/127.29
PROPER(indx(01, x1)) → c52(INDX(ok(01), proper(x1)), PROPER(x1))
419.73/127.29
PROPER(from(dbl(z0))) → c53(FROM(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.29
PROPER(from(s(z0))) → c53(FROM(s(proper(z0))), PROPER(s(z0)))
419.73/127.29
PROPER(from(dbls(z0))) → c53(FROM(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.29
PROPER(from(cons(z0, z1))) → c53(FROM(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.29
PROPER(from(sel(z0, z1))) → c53(FROM(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.29
PROPER(from(indx(z0, z1))) → c53(FROM(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.29
PROPER(from(from(z0))) → c53(FROM(from(proper(z0))), PROPER(from(z0)))
419.73/127.29
PROPER(from(dbl1(z0))) → c53(FROM(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.29
PROPER(from(s1(z0))) → c53(FROM(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.29
PROPER(from(sel1(z0, z1))) → c53(FROM(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.29
PROPER(from(quote(z0))) → c53(FROM(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.29
PROPER(from(0)) → c53(FROM(ok(0)))
419.73/127.29
PROPER(from(nil)) → c53(FROM(ok(nil)))
419.73/127.29
PROPER(from(01)) → c53(FROM(ok(01)))
419.73/127.29
PROPER(dbl1(dbl(z0))) → c54(DBL1(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.29
PROPER(dbl1(s(z0))) → c54(DBL1(s(proper(z0))), PROPER(s(z0)))
419.73/127.29
PROPER(dbl1(dbls(z0))) → c54(DBL1(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.29
PROPER(dbl1(cons(z0, z1))) → c54(DBL1(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.29
PROPER(dbl1(sel(z0, z1))) → c54(DBL1(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.29
PROPER(dbl1(indx(z0, z1))) → c54(DBL1(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.29
PROPER(dbl1(from(z0))) → c54(DBL1(from(proper(z0))), PROPER(from(z0)))
419.73/127.29
PROPER(dbl1(dbl1(z0))) → c54(DBL1(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.29
PROPER(dbl1(s1(z0))) → c54(DBL1(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.30
PROPER(dbl1(sel1(z0, z1))) → c54(DBL1(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.30
PROPER(dbl1(quote(z0))) → c54(DBL1(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.30
PROPER(dbl1(0)) → c54(DBL1(ok(0)))
419.73/127.30
PROPER(dbl1(nil)) → c54(DBL1(ok(nil)))
419.73/127.30
PROPER(dbl1(01)) → c54(DBL1(ok(01)))
419.73/127.30
PROPER(s1(dbl(z0))) → c56(S1(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.30
PROPER(s1(s(z0))) → c56(S1(s(proper(z0))), PROPER(s(z0)))
419.73/127.30
PROPER(s1(dbls(z0))) → c56(S1(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.30
PROPER(s1(cons(z0, z1))) → c56(S1(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.30
PROPER(s1(sel(z0, z1))) → c56(S1(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.30
PROPER(s1(indx(z0, z1))) → c56(S1(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.30
PROPER(s1(from(z0))) → c56(S1(from(proper(z0))), PROPER(from(z0)))
419.73/127.30
PROPER(s1(dbl1(z0))) → c56(S1(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.30
PROPER(s1(s1(z0))) → c56(S1(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.30
PROPER(s1(sel1(z0, z1))) → c56(S1(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.30
PROPER(s1(quote(z0))) → c56(S1(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.30
PROPER(s1(0)) → c56(S1(ok(0)))
419.73/127.30
PROPER(s1(nil)) → c56(S1(ok(nil)))
419.73/127.30
PROPER(s1(01)) → c56(S1(ok(01)))
419.73/127.30
PROPER(sel1(x0, dbl(z0))) → c57(SEL1(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.30
PROPER(sel1(x0, s(z0))) → c57(SEL1(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.30
PROPER(sel1(x0, dbls(z0))) → c57(SEL1(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.30
PROPER(sel1(x0, cons(z0, z1))) → c57(SEL1(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.30
PROPER(sel1(x0, sel(z0, z1))) → c57(SEL1(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.30
PROPER(sel1(x0, indx(z0, z1))) → c57(SEL1(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.30
PROPER(sel1(x0, from(z0))) → c57(SEL1(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.30
PROPER(sel1(x0, dbl1(z0))) → c57(SEL1(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.30
PROPER(sel1(x0, s1(z0))) → c57(SEL1(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.30
PROPER(sel1(x0, sel1(z0, z1))) → c57(SEL1(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.30
PROPER(sel1(x0, quote(z0))) → c57(SEL1(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.30
PROPER(sel1(dbl(z0), x1)) → c57(SEL1(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.30
PROPER(sel1(s(z0), x1)) → c57(SEL1(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.30
PROPER(sel1(dbls(z0), x1)) → c57(SEL1(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.30
PROPER(sel1(cons(z0, z1), x1)) → c57(SEL1(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.30
PROPER(sel1(sel(z0, z1), x1)) → c57(SEL1(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.30
PROPER(sel1(indx(z0, z1), x1)) → c57(SEL1(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.30
PROPER(sel1(from(z0), x1)) → c57(SEL1(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.30
PROPER(sel1(dbl1(z0), x1)) → c57(SEL1(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.30
PROPER(sel1(s1(z0), x1)) → c57(SEL1(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.30
PROPER(sel1(sel1(z0, z1), x1)) → c57(SEL1(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.30
PROPER(sel1(quote(z0), x1)) → c57(SEL1(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.30
PROPER(sel1(x0, 0)) → c57(SEL1(proper(x0), ok(0)), PROPER(x0))
419.73/127.30
PROPER(sel1(x0, nil)) → c57(SEL1(proper(x0), ok(nil)), PROPER(x0))
419.73/127.30
PROPER(sel1(x0, 01)) → c57(SEL1(proper(x0), ok(01)), PROPER(x0))
419.73/127.30
PROPER(sel1(0, x1)) → c57(SEL1(ok(0), proper(x1)), PROPER(x1))
419.73/127.30
PROPER(sel1(nil, x1)) → c57(SEL1(ok(nil), proper(x1)), PROPER(x1))
419.73/127.30
PROPER(sel1(01, x1)) → c57(SEL1(ok(01), proper(x1)), PROPER(x1))
419.73/127.30
PROPER(quote(dbl(z0))) → c58(QUOTE(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.30
PROPER(quote(s(z0))) → c58(QUOTE(s(proper(z0))), PROPER(s(z0)))
419.73/127.30
PROPER(quote(dbls(z0))) → c58(QUOTE(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.30
PROPER(quote(cons(z0, z1))) → c58(QUOTE(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.30
PROPER(quote(sel(z0, z1))) → c58(QUOTE(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.30
PROPER(quote(indx(z0, z1))) → c58(QUOTE(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.30
PROPER(quote(from(z0))) → c58(QUOTE(from(proper(z0))), PROPER(from(z0)))
419.73/127.30
PROPER(quote(dbl1(z0))) → c58(QUOTE(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.30
PROPER(quote(s1(z0))) → c58(QUOTE(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.30
PROPER(quote(sel1(z0, z1))) → c58(QUOTE(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.30
PROPER(quote(quote(z0))) → c58(QUOTE(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.30
PROPER(quote(0)) → c58(QUOTE(ok(0)))
419.73/127.30
PROPER(quote(nil)) → c58(QUOTE(ok(nil)))
419.73/127.30
PROPER(quote(01)) → c58(QUOTE(ok(01)))
419.73/127.30
TOP(mark(dbl(z0))) → c62(TOP(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.30
TOP(mark(0)) → c62(TOP(ok(0)), PROPER(0))
419.73/127.30
TOP(mark(s(z0))) → c62(TOP(s(proper(z0))), PROPER(s(z0)))
419.73/127.30
TOP(mark(dbls(z0))) → c62(TOP(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.30
TOP(mark(nil)) → c62(TOP(ok(nil)), PROPER(nil))
419.73/127.30
TOP(mark(cons(z0, z1))) → c62(TOP(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.30
TOP(mark(sel(z0, z1))) → c62(TOP(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.30
TOP(mark(indx(z0, z1))) → c62(TOP(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.30
TOP(mark(from(z0))) → c62(TOP(from(proper(z0))), PROPER(from(z0)))
419.73/127.30
TOP(mark(dbl1(z0))) → c62(TOP(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.30
TOP(mark(01)) → c62(TOP(ok(01)), PROPER(01))
419.73/127.30
TOP(mark(s1(z0))) → c62(TOP(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.30
TOP(mark(sel1(z0, z1))) → c62(TOP(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.30
TOP(mark(quote(z0))) → c62(TOP(quote(proper(z0))), PROPER(quote(z0)))
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
ACTIVE, DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, S, CONS, FROM, TOP, PROPER
Compound Symbols:
c5, c12, c15, c16, c19, c20, c24, c25, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c59, c60, c61, c63, c8, c, c17, c17, c1, c18, c18, c2, c21, c21, c3, c22, c22, c4, c23, c23, c6, c26, c26, c7, c45, c45, c47, c47, c48, c48, c50, c50, c51, c51, c52, c52, c53, c53, c54, c54, c56, c56, c57, c57, c58, c58, c62
419.73/127.30
419.73/127.30
(89) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID) transformation)
Removed 3 trailing tuple parts
419.73/127.30
419.73/127.30
(90) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
419.73/127.30
active(dbl(s(z0))) → mark(s(s(dbl(z0))))
419.73/127.30
active(dbls(nil)) → mark(nil)
419.73/127.30
active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
419.73/127.30
active(sel(0, cons(z0, z1))) → mark(z0)
419.73/127.30
active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
419.73/127.30
active(indx(nil, z0)) → mark(nil)
419.73/127.30
active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
419.73/127.30
active(from(z0)) → mark(cons(z0, from(s(z0))))
419.73/127.30
active(dbl1(0)) → mark(01)
419.73/127.30
active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
419.73/127.30
active(sel1(0, cons(z0, z1))) → mark(z0)
419.73/127.30
active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
419.73/127.30
active(quote(0)) → mark(01)
419.73/127.30
active(quote(s(z0))) → mark(s1(quote(z0)))
419.73/127.30
active(quote(dbl(z0))) → mark(dbl1(z0))
419.73/127.30
active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
419.73/127.30
active(dbl(z0)) → dbl(active(z0))
419.73/127.30
active(dbls(z0)) → dbls(active(z0))
419.73/127.30
active(sel(z0, z1)) → sel(active(z0), z1)
419.73/127.30
active(sel(z0, z1)) → sel(z0, active(z1))
419.73/127.30
active(indx(z0, z1)) → indx(active(z0), z1)
419.73/127.30
active(dbl1(z0)) → dbl1(active(z0))
419.73/127.30
active(s1(z0)) → s1(active(z0))
419.73/127.30
active(sel1(z0, z1)) → sel1(active(z0), z1)
419.73/127.30
active(sel1(z0, z1)) → sel1(z0, active(z1))
419.73/127.30
active(quote(z0)) → quote(active(z0))
419.73/127.30
dbl(mark(z0)) → mark(dbl(z0))
419.73/127.30
dbl(ok(z0)) → ok(dbl(z0))
419.73/127.30
dbls(mark(z0)) → mark(dbls(z0))
419.73/127.30
dbls(ok(z0)) → ok(dbls(z0))
419.73/127.30
sel(mark(z0), z1) → mark(sel(z0, z1))
419.73/127.30
sel(z0, mark(z1)) → mark(sel(z0, z1))
419.73/127.30
sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
419.73/127.30
indx(mark(z0), z1) → mark(indx(z0, z1))
419.73/127.30
indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
419.73/127.30
dbl1(mark(z0)) → mark(dbl1(z0))
419.73/127.30
dbl1(ok(z0)) → ok(dbl1(z0))
419.73/127.30
s1(mark(z0)) → mark(s1(z0))
419.73/127.30
s1(ok(z0)) → ok(s1(z0))
419.73/127.30
sel1(mark(z0), z1) → mark(sel1(z0, z1))
419.73/127.30
sel1(z0, mark(z1)) → mark(sel1(z0, z1))
419.73/127.30
sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
419.73/127.30
quote(mark(z0)) → mark(quote(z0))
419.73/127.30
quote(ok(z0)) → ok(quote(z0))
419.73/127.30
proper(dbl(z0)) → dbl(proper(z0))
419.73/127.30
proper(0) → ok(0)
419.73/127.30
proper(s(z0)) → s(proper(z0))
419.73/127.30
proper(dbls(z0)) → dbls(proper(z0))
419.73/127.30
proper(nil) → ok(nil)
419.73/127.30
proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
419.73/127.30
proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
419.73/127.30
proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
419.73/127.30
proper(from(z0)) → from(proper(z0))
419.73/127.30
proper(dbl1(z0)) → dbl1(proper(z0))
419.73/127.30
proper(01) → ok(01)
419.73/127.30
proper(s1(z0)) → s1(proper(z0))
419.73/127.30
proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
419.73/127.30
proper(quote(z0)) → quote(proper(z0))
419.73/127.30
s(ok(z0)) → ok(s(z0))
419.73/127.30
cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
419.73/127.30
from(ok(z0)) → ok(from(z0))
419.73/127.30
top(mark(z0)) → top(proper(z0))
419.73/127.30
top(ok(z0)) → top(active(z0))
Tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.73/127.30
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.73/127.30
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.73/127.30
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.73/127.30
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.73/127.30
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.73/127.30
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.73/127.30
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.73/127.30
DBL(mark(z0)) → c27(DBL(z0))
419.73/127.30
DBL(ok(z0)) → c28(DBL(z0))
419.73/127.30
DBLS(mark(z0)) → c29(DBLS(z0))
419.73/127.30
DBLS(ok(z0)) → c30(DBLS(z0))
419.73/127.30
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.73/127.30
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.73/127.30
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.73/127.30
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.73/127.30
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.73/127.30
DBL1(mark(z0)) → c36(DBL1(z0))
419.73/127.30
DBL1(ok(z0)) → c37(DBL1(z0))
419.73/127.30
S1(mark(z0)) → c38(S1(z0))
419.73/127.30
S1(ok(z0)) → c39(S1(z0))
419.73/127.30
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.73/127.30
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.73/127.30
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.73/127.30
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.73/127.30
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.73/127.30
S(ok(z0)) → c59(S(z0))
419.73/127.30
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.73/127.30
FROM(ok(z0)) → c61(FROM(z0))
419.73/127.30
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.73/127.30
ACTIVE(from(z0)) → c8(S(z0))
419.73/127.30
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.73/127.30
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.73/127.30
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.73/127.30
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.73/127.30
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.73/127.30
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.73/127.30
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.73/127.30
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.73/127.30
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.73/127.30
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.73/127.30
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.73/127.30
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.73/127.30
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.73/127.30
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.73/127.30
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.30
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.30
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.30
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.30
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.30
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.30
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.30
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.30
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.30
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.30
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.30
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.30
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.30
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.30
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.30
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.30
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.73/127.30
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.73/127.30
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.73/127.30
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.73/127.30
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.73/127.30
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.30
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.30
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.30
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.30
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.30
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.30
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.30
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.30
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.30
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.30
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.30
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.30
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.30
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.30
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.30
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.30
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.73/127.30
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.73/127.30
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.73/127.30
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.30
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.30
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.73/127.30
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.73/127.30
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.30
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.73/127.30
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.73/127.30
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.73/127.30
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.30
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.30
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.30
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.30
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.73/127.30
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.73/127.30
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.73/127.30
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.73/127.30
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.73/127.30
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.73/127.30
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.73/127.30
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.73/127.30
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.73/127.30
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.73/127.30
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.73/127.30
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.73/127.30
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.73/127.30
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.73/127.30
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.73/127.30
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.73/127.30
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.73/127.30
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.30
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.30
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.30
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.30
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.73/127.30
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.73/127.30
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.73/127.30
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.73/127.30
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.73/127.30
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.30
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.73/127.30
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.73/127.30
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.30
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.30
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.30
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.30
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.30
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.30
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.30
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.30
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.30
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.30
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.30
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.30
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.30
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.30
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.30
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.30
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.73/127.30
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.73/127.30
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.30
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.73/127.30
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.73/127.30
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.73/127.30
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.73/127.30
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.73/127.30
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.30
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.73/127.30
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.30
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.73/127.30
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.30
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.73/127.30
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.73/127.30
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.30
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.73/127.30
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.30
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.30
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.73/127.30
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.73/127.30
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.73/127.30
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.73/127.30
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.30
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.30
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.30
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.30
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.30
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.30
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.30
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.30
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.30
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.30
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.30
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.30
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.30
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.30
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.30
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.30
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.73/127.30
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.73/127.30
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.73/127.30
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.73/127.30
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.73/127.30
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.73/127.30
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.30
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.73/127.30
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.30
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.30
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.73/127.30
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.73/127.30
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.73/127.30
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.73/127.30
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.73/127.30
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.73/127.30
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.73/127.30
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.73/127.30
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.73/127.30
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.73/127.30
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.73/127.30
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.73/127.30
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.73/127.30
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.73/127.30
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.73/127.30
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.73/127.30
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.73/127.30
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.73/127.30
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.73/127.30
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.73/127.30
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.73/127.30
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.73/127.30
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.73/127.30
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.73/127.30
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.73/127.30
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.73/127.30
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.73/127.30
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.73/127.30
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.73/127.30
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.73/127.30
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.73/127.30
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.30
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.73/127.30
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.30
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.73/127.30
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.73/127.30
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.73/127.30
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.30
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.73/127.30
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.30
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.73/127.30
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.73/127.30
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.73/127.30
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.73/127.30
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.73/127.30
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.73/127.30
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.73/127.30
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.73/127.30
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.73/127.30
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.73/127.30
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.73/127.30
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.73/127.30
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.30
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.73/127.30
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.30
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.30
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.30
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.30
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.73/127.30
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.30
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.30
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.30
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.30
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.73/127.30
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.73/127.30
PROPER(dbl(01)) → c45(DBL(ok(01)))
419.73/127.30
PROPER(s(dbl(z0))) → c47(S(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.30
PROPER(s(s(z0))) → c47(S(s(proper(z0))), PROPER(s(z0)))
419.73/127.30
PROPER(s(dbls(z0))) → c47(S(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.30
PROPER(s(cons(z0, z1))) → c47(S(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.30
PROPER(s(sel(z0, z1))) → c47(S(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.30
PROPER(s(indx(z0, z1))) → c47(S(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.30
PROPER(s(from(z0))) → c47(S(from(proper(z0))), PROPER(from(z0)))
419.73/127.30
PROPER(s(dbl1(z0))) → c47(S(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.30
PROPER(s(s1(z0))) → c47(S(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.30
PROPER(s(sel1(z0, z1))) → c47(S(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.30
PROPER(s(quote(z0))) → c47(S(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.30
PROPER(s(0)) → c47(S(ok(0)))
419.73/127.30
PROPER(s(nil)) → c47(S(ok(nil)))
419.73/127.30
PROPER(s(01)) → c47(S(ok(01)))
419.73/127.30
PROPER(dbls(dbl(z0))) → c48(DBLS(dbl(proper(z0))), PROPER(dbl(z0)))
419.73/127.30
PROPER(dbls(s(z0))) → c48(DBLS(s(proper(z0))), PROPER(s(z0)))
419.73/127.30
PROPER(dbls(dbls(z0))) → c48(DBLS(dbls(proper(z0))), PROPER(dbls(z0)))
419.73/127.30
PROPER(dbls(cons(z0, z1))) → c48(DBLS(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.73/127.30
PROPER(dbls(sel(z0, z1))) → c48(DBLS(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.73/127.30
PROPER(dbls(indx(z0, z1))) → c48(DBLS(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.73/127.30
PROPER(dbls(from(z0))) → c48(DBLS(from(proper(z0))), PROPER(from(z0)))
419.73/127.30
PROPER(dbls(dbl1(z0))) → c48(DBLS(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.73/127.30
PROPER(dbls(s1(z0))) → c48(DBLS(s1(proper(z0))), PROPER(s1(z0)))
419.73/127.30
PROPER(dbls(sel1(z0, z1))) → c48(DBLS(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.73/127.30
PROPER(dbls(quote(z0))) → c48(DBLS(quote(proper(z0))), PROPER(quote(z0)))
419.73/127.30
PROPER(dbls(0)) → c48(DBLS(ok(0)))
419.73/127.30
PROPER(dbls(nil)) → c48(DBLS(ok(nil)))
419.73/127.30
PROPER(dbls(01)) → c48(DBLS(ok(01)))
419.73/127.30
PROPER(cons(x0, dbl(z0))) → c50(CONS(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.73/127.30
PROPER(cons(x0, s(z0))) → c50(CONS(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.73/127.30
PROPER(cons(x0, dbls(z0))) → c50(CONS(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.73/127.30
PROPER(cons(x0, cons(z0, z1))) → c50(CONS(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.73/127.30
PROPER(cons(x0, sel(z0, z1))) → c50(CONS(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.73/127.30
PROPER(cons(x0, indx(z0, z1))) → c50(CONS(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.73/127.30
PROPER(cons(x0, from(z0))) → c50(CONS(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.73/127.30
PROPER(cons(x0, dbl1(z0))) → c50(CONS(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.73/127.30
PROPER(cons(x0, s1(z0))) → c50(CONS(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.73/127.30
PROPER(cons(x0, sel1(z0, z1))) → c50(CONS(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.73/127.30
PROPER(cons(x0, quote(z0))) → c50(CONS(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.73/127.30
PROPER(cons(dbl(z0), x1)) → c50(CONS(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.73/127.30
PROPER(cons(s(z0), x1)) → c50(CONS(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.73/127.30
PROPER(cons(dbls(z0), x1)) → c50(CONS(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.73/127.30
PROPER(cons(cons(z0, z1), x1)) → c50(CONS(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.73/127.30
PROPER(cons(sel(z0, z1), x1)) → c50(CONS(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.73/127.30
PROPER(cons(indx(z0, z1), x1)) → c50(CONS(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.73/127.30
PROPER(cons(from(z0), x1)) → c50(CONS(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.73/127.30
PROPER(cons(dbl1(z0), x1)) → c50(CONS(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.73/127.30
PROPER(cons(s1(z0), x1)) → c50(CONS(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.73/127.30
PROPER(cons(sel1(z0, z1), x1)) → c50(CONS(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.73/127.30
PROPER(cons(quote(z0), x1)) → c50(CONS(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.73/127.30
PROPER(cons(x0, 0)) → c50(CONS(proper(x0), ok(0)), PROPER(x0))
419.73/127.30
PROPER(cons(x0, nil)) → c50(CONS(proper(x0), ok(nil)), PROPER(x0))
419.73/127.30
PROPER(cons(x0, 01)) → c50(CONS(proper(x0), ok(01)), PROPER(x0))
419.73/127.30
PROPER(cons(0, x1)) → c50(CONS(ok(0), proper(x1)), PROPER(x1))
419.73/127.30
PROPER(cons(nil, x1)) → c50(CONS(ok(nil), proper(x1)), PROPER(x1))
419.86/127.30
PROPER(cons(01, x1)) → c50(CONS(ok(01), proper(x1)), PROPER(x1))
419.86/127.30
PROPER(sel(x0, dbl(z0))) → c51(SEL(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.86/127.30
PROPER(sel(x0, s(z0))) → c51(SEL(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.86/127.30
PROPER(sel(x0, dbls(z0))) → c51(SEL(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.86/127.30
PROPER(sel(x0, cons(z0, z1))) → c51(SEL(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.86/127.30
PROPER(sel(x0, sel(z0, z1))) → c51(SEL(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.86/127.30
PROPER(sel(x0, indx(z0, z1))) → c51(SEL(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.86/127.30
PROPER(sel(x0, from(z0))) → c51(SEL(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.86/127.30
PROPER(sel(x0, dbl1(z0))) → c51(SEL(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.86/127.30
PROPER(sel(x0, s1(z0))) → c51(SEL(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.86/127.30
PROPER(sel(x0, sel1(z0, z1))) → c51(SEL(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.86/127.30
PROPER(sel(x0, quote(z0))) → c51(SEL(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.86/127.30
PROPER(sel(dbl(z0), x1)) → c51(SEL(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.86/127.30
PROPER(sel(s(z0), x1)) → c51(SEL(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.86/127.30
PROPER(sel(dbls(z0), x1)) → c51(SEL(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.86/127.30
PROPER(sel(cons(z0, z1), x1)) → c51(SEL(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.86/127.30
PROPER(sel(sel(z0, z1), x1)) → c51(SEL(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.86/127.30
PROPER(sel(indx(z0, z1), x1)) → c51(SEL(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.86/127.30
PROPER(sel(from(z0), x1)) → c51(SEL(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.86/127.30
PROPER(sel(dbl1(z0), x1)) → c51(SEL(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.86/127.30
PROPER(sel(s1(z0), x1)) → c51(SEL(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.86/127.30
PROPER(sel(sel1(z0, z1), x1)) → c51(SEL(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.86/127.30
PROPER(sel(quote(z0), x1)) → c51(SEL(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.86/127.30
PROPER(sel(x0, 0)) → c51(SEL(proper(x0), ok(0)), PROPER(x0))
419.86/127.30
PROPER(sel(x0, nil)) → c51(SEL(proper(x0), ok(nil)), PROPER(x0))
419.86/127.30
PROPER(sel(x0, 01)) → c51(SEL(proper(x0), ok(01)), PROPER(x0))
419.86/127.30
PROPER(sel(0, x1)) → c51(SEL(ok(0), proper(x1)), PROPER(x1))
419.86/127.30
PROPER(sel(nil, x1)) → c51(SEL(ok(nil), proper(x1)), PROPER(x1))
419.86/127.30
PROPER(sel(01, x1)) → c51(SEL(ok(01), proper(x1)), PROPER(x1))
419.86/127.30
PROPER(indx(x0, dbl(z0))) → c52(INDX(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.86/127.30
PROPER(indx(x0, s(z0))) → c52(INDX(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.86/127.30
PROPER(indx(x0, dbls(z0))) → c52(INDX(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.86/127.30
PROPER(indx(x0, cons(z0, z1))) → c52(INDX(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.86/127.30
PROPER(indx(x0, sel(z0, z1))) → c52(INDX(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.86/127.30
PROPER(indx(x0, indx(z0, z1))) → c52(INDX(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.86/127.30
PROPER(indx(x0, from(z0))) → c52(INDX(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.86/127.30
PROPER(indx(x0, dbl1(z0))) → c52(INDX(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.86/127.30
PROPER(indx(x0, s1(z0))) → c52(INDX(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.86/127.30
PROPER(indx(x0, sel1(z0, z1))) → c52(INDX(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.86/127.30
PROPER(indx(x0, quote(z0))) → c52(INDX(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.86/127.30
PROPER(indx(dbl(z0), x1)) → c52(INDX(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.86/127.30
PROPER(indx(s(z0), x1)) → c52(INDX(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.86/127.30
PROPER(indx(dbls(z0), x1)) → c52(INDX(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.86/127.30
PROPER(indx(cons(z0, z1), x1)) → c52(INDX(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.86/127.30
PROPER(indx(sel(z0, z1), x1)) → c52(INDX(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.86/127.30
PROPER(indx(indx(z0, z1), x1)) → c52(INDX(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.86/127.30
PROPER(indx(from(z0), x1)) → c52(INDX(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.86/127.30
PROPER(indx(dbl1(z0), x1)) → c52(INDX(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.86/127.30
PROPER(indx(s1(z0), x1)) → c52(INDX(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.86/127.30
PROPER(indx(sel1(z0, z1), x1)) → c52(INDX(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.86/127.30
PROPER(indx(quote(z0), x1)) → c52(INDX(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.86/127.30
PROPER(indx(x0, 0)) → c52(INDX(proper(x0), ok(0)), PROPER(x0))
419.86/127.30
PROPER(indx(x0, nil)) → c52(INDX(proper(x0), ok(nil)), PROPER(x0))
419.86/127.30
PROPER(indx(x0, 01)) → c52(INDX(proper(x0), ok(01)), PROPER(x0))
419.86/127.30
PROPER(indx(0, x1)) → c52(INDX(ok(0), proper(x1)), PROPER(x1))
419.86/127.30
PROPER(indx(nil, x1)) → c52(INDX(ok(nil), proper(x1)), PROPER(x1))
419.86/127.30
PROPER(indx(01, x1)) → c52(INDX(ok(01), proper(x1)), PROPER(x1))
419.86/127.30
PROPER(from(dbl(z0))) → c53(FROM(dbl(proper(z0))), PROPER(dbl(z0)))
419.86/127.30
PROPER(from(s(z0))) → c53(FROM(s(proper(z0))), PROPER(s(z0)))
419.86/127.30
PROPER(from(dbls(z0))) → c53(FROM(dbls(proper(z0))), PROPER(dbls(z0)))
419.86/127.30
PROPER(from(cons(z0, z1))) → c53(FROM(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.86/127.30
PROPER(from(sel(z0, z1))) → c53(FROM(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.86/127.30
PROPER(from(indx(z0, z1))) → c53(FROM(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.86/127.30
PROPER(from(from(z0))) → c53(FROM(from(proper(z0))), PROPER(from(z0)))
419.86/127.30
PROPER(from(dbl1(z0))) → c53(FROM(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.86/127.30
PROPER(from(s1(z0))) → c53(FROM(s1(proper(z0))), PROPER(s1(z0)))
419.86/127.30
PROPER(from(sel1(z0, z1))) → c53(FROM(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.86/127.30
PROPER(from(quote(z0))) → c53(FROM(quote(proper(z0))), PROPER(quote(z0)))
419.86/127.30
PROPER(from(0)) → c53(FROM(ok(0)))
419.86/127.30
PROPER(from(nil)) → c53(FROM(ok(nil)))
419.86/127.30
PROPER(from(01)) → c53(FROM(ok(01)))
419.86/127.30
PROPER(dbl1(dbl(z0))) → c54(DBL1(dbl(proper(z0))), PROPER(dbl(z0)))
419.86/127.30
PROPER(dbl1(s(z0))) → c54(DBL1(s(proper(z0))), PROPER(s(z0)))
419.86/127.30
PROPER(dbl1(dbls(z0))) → c54(DBL1(dbls(proper(z0))), PROPER(dbls(z0)))
419.86/127.30
PROPER(dbl1(cons(z0, z1))) → c54(DBL1(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.86/127.30
PROPER(dbl1(sel(z0, z1))) → c54(DBL1(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.86/127.30
PROPER(dbl1(indx(z0, z1))) → c54(DBL1(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.86/127.30
PROPER(dbl1(from(z0))) → c54(DBL1(from(proper(z0))), PROPER(from(z0)))
419.86/127.30
PROPER(dbl1(dbl1(z0))) → c54(DBL1(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.86/127.30
PROPER(dbl1(s1(z0))) → c54(DBL1(s1(proper(z0))), PROPER(s1(z0)))
419.86/127.30
PROPER(dbl1(sel1(z0, z1))) → c54(DBL1(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.86/127.30
PROPER(dbl1(quote(z0))) → c54(DBL1(quote(proper(z0))), PROPER(quote(z0)))
419.86/127.30
PROPER(dbl1(0)) → c54(DBL1(ok(0)))
419.86/127.30
PROPER(dbl1(nil)) → c54(DBL1(ok(nil)))
419.86/127.30
PROPER(dbl1(01)) → c54(DBL1(ok(01)))
419.86/127.30
PROPER(s1(dbl(z0))) → c56(S1(dbl(proper(z0))), PROPER(dbl(z0)))
419.86/127.30
PROPER(s1(s(z0))) → c56(S1(s(proper(z0))), PROPER(s(z0)))
419.86/127.30
PROPER(s1(dbls(z0))) → c56(S1(dbls(proper(z0))), PROPER(dbls(z0)))
419.86/127.30
PROPER(s1(cons(z0, z1))) → c56(S1(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.86/127.30
PROPER(s1(sel(z0, z1))) → c56(S1(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.86/127.30
PROPER(s1(indx(z0, z1))) → c56(S1(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.86/127.30
PROPER(s1(from(z0))) → c56(S1(from(proper(z0))), PROPER(from(z0)))
419.86/127.30
PROPER(s1(dbl1(z0))) → c56(S1(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.86/127.30
PROPER(s1(s1(z0))) → c56(S1(s1(proper(z0))), PROPER(s1(z0)))
419.86/127.30
PROPER(s1(sel1(z0, z1))) → c56(S1(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.86/127.30
PROPER(s1(quote(z0))) → c56(S1(quote(proper(z0))), PROPER(quote(z0)))
419.86/127.30
PROPER(s1(0)) → c56(S1(ok(0)))
419.86/127.30
PROPER(s1(nil)) → c56(S1(ok(nil)))
419.86/127.30
PROPER(s1(01)) → c56(S1(ok(01)))
419.86/127.30
PROPER(sel1(x0, dbl(z0))) → c57(SEL1(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.86/127.30
PROPER(sel1(x0, s(z0))) → c57(SEL1(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.86/127.30
PROPER(sel1(x0, dbls(z0))) → c57(SEL1(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.86/127.30
PROPER(sel1(x0, cons(z0, z1))) → c57(SEL1(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.86/127.30
PROPER(sel1(x0, sel(z0, z1))) → c57(SEL1(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.86/127.30
PROPER(sel1(x0, indx(z0, z1))) → c57(SEL1(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.86/127.30
PROPER(sel1(x0, from(z0))) → c57(SEL1(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.86/127.30
PROPER(sel1(x0, dbl1(z0))) → c57(SEL1(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.86/127.30
PROPER(sel1(x0, s1(z0))) → c57(SEL1(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.86/127.30
PROPER(sel1(x0, sel1(z0, z1))) → c57(SEL1(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.86/127.30
PROPER(sel1(x0, quote(z0))) → c57(SEL1(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.86/127.30
PROPER(sel1(dbl(z0), x1)) → c57(SEL1(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.86/127.30
PROPER(sel1(s(z0), x1)) → c57(SEL1(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.86/127.30
PROPER(sel1(dbls(z0), x1)) → c57(SEL1(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.86/127.30
PROPER(sel1(cons(z0, z1), x1)) → c57(SEL1(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.86/127.30
PROPER(sel1(sel(z0, z1), x1)) → c57(SEL1(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.86/127.30
PROPER(sel1(indx(z0, z1), x1)) → c57(SEL1(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.86/127.30
PROPER(sel1(from(z0), x1)) → c57(SEL1(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.86/127.30
PROPER(sel1(dbl1(z0), x1)) → c57(SEL1(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.86/127.30
PROPER(sel1(s1(z0), x1)) → c57(SEL1(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.86/127.30
PROPER(sel1(sel1(z0, z1), x1)) → c57(SEL1(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.86/127.30
PROPER(sel1(quote(z0), x1)) → c57(SEL1(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.86/127.30
PROPER(sel1(x0, 0)) → c57(SEL1(proper(x0), ok(0)), PROPER(x0))
419.86/127.30
PROPER(sel1(x0, nil)) → c57(SEL1(proper(x0), ok(nil)), PROPER(x0))
419.86/127.30
PROPER(sel1(x0, 01)) → c57(SEL1(proper(x0), ok(01)), PROPER(x0))
419.86/127.30
PROPER(sel1(0, x1)) → c57(SEL1(ok(0), proper(x1)), PROPER(x1))
419.86/127.30
PROPER(sel1(nil, x1)) → c57(SEL1(ok(nil), proper(x1)), PROPER(x1))
419.86/127.30
PROPER(sel1(01, x1)) → c57(SEL1(ok(01), proper(x1)), PROPER(x1))
419.86/127.30
PROPER(quote(dbl(z0))) → c58(QUOTE(dbl(proper(z0))), PROPER(dbl(z0)))
419.86/127.30
PROPER(quote(s(z0))) → c58(QUOTE(s(proper(z0))), PROPER(s(z0)))
419.86/127.30
PROPER(quote(dbls(z0))) → c58(QUOTE(dbls(proper(z0))), PROPER(dbls(z0)))
419.86/127.30
PROPER(quote(cons(z0, z1))) → c58(QUOTE(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.86/127.30
PROPER(quote(sel(z0, z1))) → c58(QUOTE(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.86/127.30
PROPER(quote(indx(z0, z1))) → c58(QUOTE(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.86/127.30
PROPER(quote(from(z0))) → c58(QUOTE(from(proper(z0))), PROPER(from(z0)))
419.86/127.30
PROPER(quote(dbl1(z0))) → c58(QUOTE(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.86/127.30
PROPER(quote(s1(z0))) → c58(QUOTE(s1(proper(z0))), PROPER(s1(z0)))
419.86/127.30
PROPER(quote(sel1(z0, z1))) → c58(QUOTE(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.86/127.30
PROPER(quote(quote(z0))) → c58(QUOTE(quote(proper(z0))), PROPER(quote(z0)))
419.86/127.30
PROPER(quote(0)) → c58(QUOTE(ok(0)))
419.86/127.30
PROPER(quote(nil)) → c58(QUOTE(ok(nil)))
419.86/127.30
PROPER(quote(01)) → c58(QUOTE(ok(01)))
419.86/127.30
TOP(mark(dbl(z0))) → c62(TOP(dbl(proper(z0))), PROPER(dbl(z0)))
419.86/127.30
TOP(mark(s(z0))) → c62(TOP(s(proper(z0))), PROPER(s(z0)))
419.86/127.30
TOP(mark(dbls(z0))) → c62(TOP(dbls(proper(z0))), PROPER(dbls(z0)))
419.86/127.30
TOP(mark(cons(z0, z1))) → c62(TOP(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.86/127.30
TOP(mark(sel(z0, z1))) → c62(TOP(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.86/127.30
TOP(mark(indx(z0, z1))) → c62(TOP(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.86/127.30
TOP(mark(from(z0))) → c62(TOP(from(proper(z0))), PROPER(from(z0)))
419.86/127.30
TOP(mark(dbl1(z0))) → c62(TOP(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.86/127.30
TOP(mark(s1(z0))) → c62(TOP(s1(proper(z0))), PROPER(s1(z0)))
419.86/127.30
TOP(mark(sel1(z0, z1))) → c62(TOP(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.86/127.30
TOP(mark(quote(z0))) → c62(TOP(quote(proper(z0))), PROPER(quote(z0)))
419.86/127.30
TOP(mark(0)) → c62(TOP(ok(0)))
419.86/127.30
TOP(mark(nil)) → c62(TOP(ok(nil)))
419.86/127.30
TOP(mark(01)) → c62(TOP(ok(01)))
S tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.86/127.30
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.86/127.30
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.86/127.30
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.86/127.30
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.86/127.30
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.86/127.30
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.86/127.30
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.86/127.30
DBL(mark(z0)) → c27(DBL(z0))
419.86/127.30
DBL(ok(z0)) → c28(DBL(z0))
419.86/127.30
DBLS(mark(z0)) → c29(DBLS(z0))
419.86/127.30
DBLS(ok(z0)) → c30(DBLS(z0))
419.86/127.30
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.86/127.30
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.86/127.30
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.86/127.30
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.86/127.30
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.86/127.30
DBL1(mark(z0)) → c36(DBL1(z0))
419.86/127.30
DBL1(ok(z0)) → c37(DBL1(z0))
419.86/127.30
S1(mark(z0)) → c38(S1(z0))
419.86/127.30
S1(ok(z0)) → c39(S1(z0))
419.86/127.30
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.86/127.30
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.86/127.30
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.86/127.30
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.86/127.30
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.86/127.30
S(ok(z0)) → c59(S(z0))
419.86/127.30
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.86/127.30
FROM(ok(z0)) → c61(FROM(z0))
419.86/127.30
TOP(ok(z0)) → c63(TOP(active(z0)), ACTIVE(z0))
419.86/127.30
ACTIVE(from(z0)) → c8(S(z0))
419.86/127.30
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.86/127.30
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.86/127.30
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.86/127.30
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.86/127.30
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.86/127.30
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.86/127.30
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.86/127.30
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.86/127.30
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.86/127.30
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.86/127.30
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.86/127.30
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.86/127.30
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.86/127.30
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.86/127.30
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.86/127.30
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.86/127.30
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.86/127.30
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.86/127.30
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.86/127.30
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.86/127.30
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.86/127.30
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.86/127.30
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.86/127.30
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.86/127.30
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.86/127.30
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.86/127.30
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.86/127.30
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.86/127.30
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.86/127.30
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.86/127.30
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.86/127.30
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.86/127.30
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.86/127.30
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.86/127.30
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.86/127.30
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.86/127.30
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.86/127.30
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.86/127.30
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.86/127.30
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.86/127.30
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.86/127.30
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.86/127.30
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.86/127.30
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.86/127.30
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.86/127.30
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.86/127.30
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.86/127.30
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.86/127.30
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.86/127.30
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.86/127.30
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.86/127.30
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.86/127.30
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.86/127.30
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.86/127.30
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.86/127.30
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.86/127.30
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.86/127.30
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.86/127.30
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.86/127.30
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.86/127.30
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.86/127.30
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.86/127.30
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.86/127.30
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.86/127.30
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.86/127.30
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.86/127.30
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.86/127.30
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.86/127.30
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.86/127.30
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.86/127.30
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.86/127.30
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.86/127.30
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.86/127.30
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.86/127.30
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.86/127.30
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.86/127.30
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.86/127.30
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.86/127.30
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.86/127.30
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.86/127.30
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.86/127.30
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.86/127.30
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.86/127.30
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.86/127.30
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.86/127.30
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.86/127.30
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.86/127.30
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.86/127.30
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.86/127.30
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.86/127.30
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.86/127.30
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.86/127.30
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.86/127.30
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.86/127.30
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.86/127.30
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.86/127.30
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.86/127.30
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.86/127.30
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.86/127.30
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.86/127.30
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.86/127.30
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.86/127.30
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.86/127.30
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.86/127.30
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.86/127.30
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.86/127.30
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.86/127.30
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.86/127.30
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.86/127.30
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.86/127.30
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.86/127.30
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.86/127.30
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.86/127.30
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.86/127.30
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.86/127.30
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.86/127.30
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.86/127.30
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.86/127.30
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.86/127.30
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.86/127.30
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.86/127.30
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.86/127.30
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.86/127.30
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.86/127.30
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.86/127.30
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.86/127.30
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.86/127.30
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.86/127.30
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.86/127.30
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.86/127.30
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.86/127.30
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.86/127.30
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.86/127.30
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.86/127.30
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.86/127.30
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.86/127.30
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.86/127.30
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.86/127.30
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.86/127.30
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.86/127.30
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.86/127.30
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.86/127.30
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.86/127.30
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.86/127.30
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.86/127.30
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.86/127.30
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.86/127.30
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.86/127.30
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.86/127.30
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.86/127.30
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.86/127.30
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.86/127.30
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.86/127.30
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.86/127.30
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.86/127.30
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.86/127.30
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.86/127.30
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.86/127.30
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.86/127.30
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.86/127.30
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.86/127.30
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.86/127.30
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.86/127.30
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.86/127.30
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.86/127.30
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.86/127.30
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.86/127.30
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.86/127.30
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.86/127.30
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.86/127.30
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.86/127.30
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.86/127.30
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.86/127.30
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.86/127.30
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.86/127.30
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.86/127.30
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.86/127.30
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.86/127.30
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.86/127.30
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.86/127.30
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.86/127.30
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.86/127.30
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.86/127.30
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.86/127.30
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.86/127.30
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.86/127.30
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.86/127.30
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.86/127.30
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.86/127.30
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.86/127.30
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.86/127.30
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.86/127.30
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.86/127.30
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.86/127.30
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.86/127.30
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.86/127.30
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.86/127.30
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.86/127.30
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.86/127.30
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.86/127.30
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.86/127.30
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.86/127.30
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.86/127.30
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.86/127.30
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.86/127.30
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.86/127.30
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.86/127.30
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.86/127.30
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.86/127.30
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.86/127.30
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.86/127.30
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.86/127.30
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.86/127.30
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.86/127.30
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.86/127.30
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.86/127.30
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.86/127.30
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.86/127.30
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.86/127.30
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.86/127.30
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.86/127.30
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.86/127.30
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.86/127.30
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.86/127.30
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.86/127.30
PROPER(dbl(01)) → c45(DBL(ok(01)))
419.86/127.30
PROPER(s(dbl(z0))) → c47(S(dbl(proper(z0))), PROPER(dbl(z0)))
419.86/127.30
PROPER(s(s(z0))) → c47(S(s(proper(z0))), PROPER(s(z0)))
419.86/127.30
PROPER(s(dbls(z0))) → c47(S(dbls(proper(z0))), PROPER(dbls(z0)))
419.86/127.30
PROPER(s(cons(z0, z1))) → c47(S(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.86/127.30
PROPER(s(sel(z0, z1))) → c47(S(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.86/127.30
PROPER(s(indx(z0, z1))) → c47(S(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.86/127.30
PROPER(s(from(z0))) → c47(S(from(proper(z0))), PROPER(from(z0)))
419.86/127.30
PROPER(s(dbl1(z0))) → c47(S(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.86/127.30
PROPER(s(s1(z0))) → c47(S(s1(proper(z0))), PROPER(s1(z0)))
419.86/127.30
PROPER(s(sel1(z0, z1))) → c47(S(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.86/127.30
PROPER(s(quote(z0))) → c47(S(quote(proper(z0))), PROPER(quote(z0)))
419.86/127.30
PROPER(s(0)) → c47(S(ok(0)))
419.86/127.30
PROPER(s(nil)) → c47(S(ok(nil)))
419.86/127.30
PROPER(s(01)) → c47(S(ok(01)))
419.86/127.30
PROPER(dbls(dbl(z0))) → c48(DBLS(dbl(proper(z0))), PROPER(dbl(z0)))
419.86/127.30
PROPER(dbls(s(z0))) → c48(DBLS(s(proper(z0))), PROPER(s(z0)))
419.86/127.30
PROPER(dbls(dbls(z0))) → c48(DBLS(dbls(proper(z0))), PROPER(dbls(z0)))
419.86/127.30
PROPER(dbls(cons(z0, z1))) → c48(DBLS(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.86/127.30
PROPER(dbls(sel(z0, z1))) → c48(DBLS(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.86/127.30
PROPER(dbls(indx(z0, z1))) → c48(DBLS(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.86/127.30
PROPER(dbls(from(z0))) → c48(DBLS(from(proper(z0))), PROPER(from(z0)))
419.86/127.30
PROPER(dbls(dbl1(z0))) → c48(DBLS(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.86/127.30
PROPER(dbls(s1(z0))) → c48(DBLS(s1(proper(z0))), PROPER(s1(z0)))
419.86/127.30
PROPER(dbls(sel1(z0, z1))) → c48(DBLS(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.86/127.30
PROPER(dbls(quote(z0))) → c48(DBLS(quote(proper(z0))), PROPER(quote(z0)))
419.86/127.30
PROPER(dbls(0)) → c48(DBLS(ok(0)))
419.86/127.30
PROPER(dbls(nil)) → c48(DBLS(ok(nil)))
419.86/127.30
PROPER(dbls(01)) → c48(DBLS(ok(01)))
419.86/127.30
PROPER(cons(x0, dbl(z0))) → c50(CONS(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.86/127.30
PROPER(cons(x0, s(z0))) → c50(CONS(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.86/127.30
PROPER(cons(x0, dbls(z0))) → c50(CONS(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.86/127.30
PROPER(cons(x0, cons(z0, z1))) → c50(CONS(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.86/127.30
PROPER(cons(x0, sel(z0, z1))) → c50(CONS(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.86/127.30
PROPER(cons(x0, indx(z0, z1))) → c50(CONS(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.86/127.30
PROPER(cons(x0, from(z0))) → c50(CONS(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.86/127.30
PROPER(cons(x0, dbl1(z0))) → c50(CONS(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.86/127.30
PROPER(cons(x0, s1(z0))) → c50(CONS(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.86/127.30
PROPER(cons(x0, sel1(z0, z1))) → c50(CONS(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.86/127.30
PROPER(cons(x0, quote(z0))) → c50(CONS(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.86/127.30
PROPER(cons(dbl(z0), x1)) → c50(CONS(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.86/127.30
PROPER(cons(s(z0), x1)) → c50(CONS(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.86/127.30
PROPER(cons(dbls(z0), x1)) → c50(CONS(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.86/127.30
PROPER(cons(cons(z0, z1), x1)) → c50(CONS(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.86/127.30
PROPER(cons(sel(z0, z1), x1)) → c50(CONS(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.86/127.30
PROPER(cons(indx(z0, z1), x1)) → c50(CONS(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.86/127.30
PROPER(cons(from(z0), x1)) → c50(CONS(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.86/127.30
PROPER(cons(dbl1(z0), x1)) → c50(CONS(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.86/127.30
PROPER(cons(s1(z0), x1)) → c50(CONS(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.86/127.30
PROPER(cons(sel1(z0, z1), x1)) → c50(CONS(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.86/127.30
PROPER(cons(quote(z0), x1)) → c50(CONS(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.86/127.30
PROPER(cons(x0, 0)) → c50(CONS(proper(x0), ok(0)), PROPER(x0))
419.86/127.30
PROPER(cons(x0, nil)) → c50(CONS(proper(x0), ok(nil)), PROPER(x0))
419.86/127.30
PROPER(cons(x0, 01)) → c50(CONS(proper(x0), ok(01)), PROPER(x0))
419.86/127.30
PROPER(cons(0, x1)) → c50(CONS(ok(0), proper(x1)), PROPER(x1))
419.86/127.30
PROPER(cons(nil, x1)) → c50(CONS(ok(nil), proper(x1)), PROPER(x1))
419.86/127.30
PROPER(cons(01, x1)) → c50(CONS(ok(01), proper(x1)), PROPER(x1))
419.86/127.30
PROPER(sel(x0, dbl(z0))) → c51(SEL(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.86/127.30
PROPER(sel(x0, s(z0))) → c51(SEL(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.86/127.30
PROPER(sel(x0, dbls(z0))) → c51(SEL(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.86/127.30
PROPER(sel(x0, cons(z0, z1))) → c51(SEL(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.86/127.30
PROPER(sel(x0, sel(z0, z1))) → c51(SEL(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.86/127.30
PROPER(sel(x0, indx(z0, z1))) → c51(SEL(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.86/127.30
PROPER(sel(x0, from(z0))) → c51(SEL(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.86/127.30
PROPER(sel(x0, dbl1(z0))) → c51(SEL(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.86/127.30
PROPER(sel(x0, s1(z0))) → c51(SEL(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.86/127.30
PROPER(sel(x0, sel1(z0, z1))) → c51(SEL(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.86/127.30
PROPER(sel(x0, quote(z0))) → c51(SEL(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.86/127.30
PROPER(sel(dbl(z0), x1)) → c51(SEL(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.86/127.30
PROPER(sel(s(z0), x1)) → c51(SEL(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.86/127.30
PROPER(sel(dbls(z0), x1)) → c51(SEL(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.86/127.30
PROPER(sel(cons(z0, z1), x1)) → c51(SEL(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.86/127.30
PROPER(sel(sel(z0, z1), x1)) → c51(SEL(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.86/127.30
PROPER(sel(indx(z0, z1), x1)) → c51(SEL(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.86/127.30
PROPER(sel(from(z0), x1)) → c51(SEL(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.86/127.30
PROPER(sel(dbl1(z0), x1)) → c51(SEL(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.86/127.30
PROPER(sel(s1(z0), x1)) → c51(SEL(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.86/127.30
PROPER(sel(sel1(z0, z1), x1)) → c51(SEL(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.86/127.30
PROPER(sel(quote(z0), x1)) → c51(SEL(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.86/127.30
PROPER(sel(x0, 0)) → c51(SEL(proper(x0), ok(0)), PROPER(x0))
419.86/127.30
PROPER(sel(x0, nil)) → c51(SEL(proper(x0), ok(nil)), PROPER(x0))
419.86/127.30
PROPER(sel(x0, 01)) → c51(SEL(proper(x0), ok(01)), PROPER(x0))
419.86/127.30
PROPER(sel(0, x1)) → c51(SEL(ok(0), proper(x1)), PROPER(x1))
419.86/127.30
PROPER(sel(nil, x1)) → c51(SEL(ok(nil), proper(x1)), PROPER(x1))
419.86/127.30
PROPER(sel(01, x1)) → c51(SEL(ok(01), proper(x1)), PROPER(x1))
419.86/127.30
PROPER(indx(x0, dbl(z0))) → c52(INDX(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.86/127.30
PROPER(indx(x0, s(z0))) → c52(INDX(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.86/127.30
PROPER(indx(x0, dbls(z0))) → c52(INDX(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.86/127.30
PROPER(indx(x0, cons(z0, z1))) → c52(INDX(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.86/127.30
PROPER(indx(x0, sel(z0, z1))) → c52(INDX(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.86/127.30
PROPER(indx(x0, indx(z0, z1))) → c52(INDX(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.86/127.30
PROPER(indx(x0, from(z0))) → c52(INDX(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.86/127.30
PROPER(indx(x0, dbl1(z0))) → c52(INDX(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.86/127.30
PROPER(indx(x0, s1(z0))) → c52(INDX(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.86/127.30
PROPER(indx(x0, sel1(z0, z1))) → c52(INDX(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.86/127.30
PROPER(indx(x0, quote(z0))) → c52(INDX(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.86/127.30
PROPER(indx(dbl(z0), x1)) → c52(INDX(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.86/127.30
PROPER(indx(s(z0), x1)) → c52(INDX(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.86/127.30
PROPER(indx(dbls(z0), x1)) → c52(INDX(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.86/127.30
PROPER(indx(cons(z0, z1), x1)) → c52(INDX(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.86/127.30
PROPER(indx(sel(z0, z1), x1)) → c52(INDX(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.86/127.30
PROPER(indx(indx(z0, z1), x1)) → c52(INDX(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.86/127.30
PROPER(indx(from(z0), x1)) → c52(INDX(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.86/127.30
PROPER(indx(dbl1(z0), x1)) → c52(INDX(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.86/127.30
PROPER(indx(s1(z0), x1)) → c52(INDX(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.86/127.30
PROPER(indx(sel1(z0, z1), x1)) → c52(INDX(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.86/127.30
PROPER(indx(quote(z0), x1)) → c52(INDX(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.86/127.30
PROPER(indx(x0, 0)) → c52(INDX(proper(x0), ok(0)), PROPER(x0))
419.86/127.30
PROPER(indx(x0, nil)) → c52(INDX(proper(x0), ok(nil)), PROPER(x0))
419.86/127.30
PROPER(indx(x0, 01)) → c52(INDX(proper(x0), ok(01)), PROPER(x0))
419.86/127.30
PROPER(indx(0, x1)) → c52(INDX(ok(0), proper(x1)), PROPER(x1))
419.86/127.30
PROPER(indx(nil, x1)) → c52(INDX(ok(nil), proper(x1)), PROPER(x1))
419.86/127.30
PROPER(indx(01, x1)) → c52(INDX(ok(01), proper(x1)), PROPER(x1))
419.86/127.30
PROPER(from(dbl(z0))) → c53(FROM(dbl(proper(z0))), PROPER(dbl(z0)))
419.86/127.30
PROPER(from(s(z0))) → c53(FROM(s(proper(z0))), PROPER(s(z0)))
419.86/127.30
PROPER(from(dbls(z0))) → c53(FROM(dbls(proper(z0))), PROPER(dbls(z0)))
419.86/127.30
PROPER(from(cons(z0, z1))) → c53(FROM(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.86/127.30
PROPER(from(sel(z0, z1))) → c53(FROM(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.86/127.30
PROPER(from(indx(z0, z1))) → c53(FROM(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.86/127.30
PROPER(from(from(z0))) → c53(FROM(from(proper(z0))), PROPER(from(z0)))
419.86/127.30
PROPER(from(dbl1(z0))) → c53(FROM(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.86/127.30
PROPER(from(s1(z0))) → c53(FROM(s1(proper(z0))), PROPER(s1(z0)))
419.86/127.30
PROPER(from(sel1(z0, z1))) → c53(FROM(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.86/127.30
PROPER(from(quote(z0))) → c53(FROM(quote(proper(z0))), PROPER(quote(z0)))
419.86/127.30
PROPER(from(0)) → c53(FROM(ok(0)))
419.86/127.30
PROPER(from(nil)) → c53(FROM(ok(nil)))
419.86/127.30
PROPER(from(01)) → c53(FROM(ok(01)))
419.86/127.30
PROPER(dbl1(dbl(z0))) → c54(DBL1(dbl(proper(z0))), PROPER(dbl(z0)))
419.86/127.30
PROPER(dbl1(s(z0))) → c54(DBL1(s(proper(z0))), PROPER(s(z0)))
419.86/127.30
PROPER(dbl1(dbls(z0))) → c54(DBL1(dbls(proper(z0))), PROPER(dbls(z0)))
419.86/127.30
PROPER(dbl1(cons(z0, z1))) → c54(DBL1(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.86/127.30
PROPER(dbl1(sel(z0, z1))) → c54(DBL1(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.86/127.30
PROPER(dbl1(indx(z0, z1))) → c54(DBL1(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.86/127.30
PROPER(dbl1(from(z0))) → c54(DBL1(from(proper(z0))), PROPER(from(z0)))
419.86/127.30
PROPER(dbl1(dbl1(z0))) → c54(DBL1(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.86/127.30
PROPER(dbl1(s1(z0))) → c54(DBL1(s1(proper(z0))), PROPER(s1(z0)))
419.86/127.30
PROPER(dbl1(sel1(z0, z1))) → c54(DBL1(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.86/127.30
PROPER(dbl1(quote(z0))) → c54(DBL1(quote(proper(z0))), PROPER(quote(z0)))
419.86/127.30
PROPER(dbl1(0)) → c54(DBL1(ok(0)))
419.86/127.30
PROPER(dbl1(nil)) → c54(DBL1(ok(nil)))
419.86/127.30
PROPER(dbl1(01)) → c54(DBL1(ok(01)))
419.86/127.30
PROPER(s1(dbl(z0))) → c56(S1(dbl(proper(z0))), PROPER(dbl(z0)))
419.86/127.30
PROPER(s1(s(z0))) → c56(S1(s(proper(z0))), PROPER(s(z0)))
419.86/127.30
PROPER(s1(dbls(z0))) → c56(S1(dbls(proper(z0))), PROPER(dbls(z0)))
419.86/127.30
PROPER(s1(cons(z0, z1))) → c56(S1(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.86/127.30
PROPER(s1(sel(z0, z1))) → c56(S1(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.86/127.30
PROPER(s1(indx(z0, z1))) → c56(S1(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.86/127.30
PROPER(s1(from(z0))) → c56(S1(from(proper(z0))), PROPER(from(z0)))
419.86/127.30
PROPER(s1(dbl1(z0))) → c56(S1(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.86/127.30
PROPER(s1(s1(z0))) → c56(S1(s1(proper(z0))), PROPER(s1(z0)))
419.86/127.30
PROPER(s1(sel1(z0, z1))) → c56(S1(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.86/127.30
PROPER(s1(quote(z0))) → c56(S1(quote(proper(z0))), PROPER(quote(z0)))
419.86/127.30
PROPER(s1(0)) → c56(S1(ok(0)))
419.86/127.30
PROPER(s1(nil)) → c56(S1(ok(nil)))
419.86/127.30
PROPER(s1(01)) → c56(S1(ok(01)))
419.86/127.30
PROPER(sel1(x0, dbl(z0))) → c57(SEL1(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.86/127.30
PROPER(sel1(x0, s(z0))) → c57(SEL1(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.86/127.30
PROPER(sel1(x0, dbls(z0))) → c57(SEL1(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.86/127.30
PROPER(sel1(x0, cons(z0, z1))) → c57(SEL1(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.86/127.30
PROPER(sel1(x0, sel(z0, z1))) → c57(SEL1(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.86/127.30
PROPER(sel1(x0, indx(z0, z1))) → c57(SEL1(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.86/127.30
PROPER(sel1(x0, from(z0))) → c57(SEL1(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.86/127.30
PROPER(sel1(x0, dbl1(z0))) → c57(SEL1(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.86/127.30
PROPER(sel1(x0, s1(z0))) → c57(SEL1(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.86/127.30
PROPER(sel1(x0, sel1(z0, z1))) → c57(SEL1(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.86/127.30
PROPER(sel1(x0, quote(z0))) → c57(SEL1(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.86/127.30
PROPER(sel1(dbl(z0), x1)) → c57(SEL1(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.86/127.30
PROPER(sel1(s(z0), x1)) → c57(SEL1(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.86/127.30
PROPER(sel1(dbls(z0), x1)) → c57(SEL1(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.86/127.30
PROPER(sel1(cons(z0, z1), x1)) → c57(SEL1(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.86/127.30
PROPER(sel1(sel(z0, z1), x1)) → c57(SEL1(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.86/127.30
PROPER(sel1(indx(z0, z1), x1)) → c57(SEL1(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.86/127.30
PROPER(sel1(from(z0), x1)) → c57(SEL1(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.86/127.30
PROPER(sel1(dbl1(z0), x1)) → c57(SEL1(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.86/127.30
PROPER(sel1(s1(z0), x1)) → c57(SEL1(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.86/127.30
PROPER(sel1(sel1(z0, z1), x1)) → c57(SEL1(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.86/127.30
PROPER(sel1(quote(z0), x1)) → c57(SEL1(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.86/127.30
PROPER(sel1(x0, 0)) → c57(SEL1(proper(x0), ok(0)), PROPER(x0))
419.86/127.30
PROPER(sel1(x0, nil)) → c57(SEL1(proper(x0), ok(nil)), PROPER(x0))
419.86/127.30
PROPER(sel1(x0, 01)) → c57(SEL1(proper(x0), ok(01)), PROPER(x0))
419.86/127.30
PROPER(sel1(0, x1)) → c57(SEL1(ok(0), proper(x1)), PROPER(x1))
419.86/127.30
PROPER(sel1(nil, x1)) → c57(SEL1(ok(nil), proper(x1)), PROPER(x1))
419.86/127.30
PROPER(sel1(01, x1)) → c57(SEL1(ok(01), proper(x1)), PROPER(x1))
419.86/127.30
PROPER(quote(dbl(z0))) → c58(QUOTE(dbl(proper(z0))), PROPER(dbl(z0)))
419.86/127.30
PROPER(quote(s(z0))) → c58(QUOTE(s(proper(z0))), PROPER(s(z0)))
419.86/127.30
PROPER(quote(dbls(z0))) → c58(QUOTE(dbls(proper(z0))), PROPER(dbls(z0)))
419.86/127.30
PROPER(quote(cons(z0, z1))) → c58(QUOTE(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.86/127.30
PROPER(quote(sel(z0, z1))) → c58(QUOTE(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.86/127.30
PROPER(quote(indx(z0, z1))) → c58(QUOTE(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.86/127.30
PROPER(quote(from(z0))) → c58(QUOTE(from(proper(z0))), PROPER(from(z0)))
419.86/127.30
PROPER(quote(dbl1(z0))) → c58(QUOTE(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.86/127.30
PROPER(quote(s1(z0))) → c58(QUOTE(s1(proper(z0))), PROPER(s1(z0)))
419.86/127.30
PROPER(quote(sel1(z0, z1))) → c58(QUOTE(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.86/127.30
PROPER(quote(quote(z0))) → c58(QUOTE(quote(proper(z0))), PROPER(quote(z0)))
419.86/127.30
PROPER(quote(0)) → c58(QUOTE(ok(0)))
419.86/127.30
PROPER(quote(nil)) → c58(QUOTE(ok(nil)))
419.86/127.30
PROPER(quote(01)) → c58(QUOTE(ok(01)))
419.86/127.30
TOP(mark(dbl(z0))) → c62(TOP(dbl(proper(z0))), PROPER(dbl(z0)))
419.86/127.30
TOP(mark(s(z0))) → c62(TOP(s(proper(z0))), PROPER(s(z0)))
419.86/127.30
TOP(mark(dbls(z0))) → c62(TOP(dbls(proper(z0))), PROPER(dbls(z0)))
419.86/127.30
TOP(mark(cons(z0, z1))) → c62(TOP(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.86/127.30
TOP(mark(sel(z0, z1))) → c62(TOP(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.86/127.30
TOP(mark(indx(z0, z1))) → c62(TOP(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.86/127.30
TOP(mark(from(z0))) → c62(TOP(from(proper(z0))), PROPER(from(z0)))
419.86/127.30
TOP(mark(dbl1(z0))) → c62(TOP(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.86/127.30
TOP(mark(s1(z0))) → c62(TOP(s1(proper(z0))), PROPER(s1(z0)))
419.86/127.30
TOP(mark(sel1(z0, z1))) → c62(TOP(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.86/127.30
TOP(mark(quote(z0))) → c62(TOP(quote(proper(z0))), PROPER(quote(z0)))
419.86/127.30
TOP(mark(0)) → c62(TOP(ok(0)))
419.86/127.30
TOP(mark(nil)) → c62(TOP(ok(nil)))
419.86/127.30
TOP(mark(01)) → c62(TOP(ok(01)))
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
ACTIVE, DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, S, CONS, FROM, TOP, PROPER
Compound Symbols:
c5, c12, c15, c16, c19, c20, c24, c25, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c59, c60, c61, c63, c8, c, c17, c17, c1, c18, c18, c2, c21, c21, c3, c22, c22, c4, c23, c23, c6, c26, c26, c7, c45, c45, c47, c47, c48, c48, c50, c50, c51, c51, c52, c52, c53, c53, c54, c54, c56, c56, c57, c57, c58, c58, c62, c62
419.86/127.30
419.86/127.30
(91) CdtNarrowingProof (BOTH BOUNDS(ID, ID) transformation)
Use narrowing to replace
TOP(
ok(
z0)) →
c63(
TOP(
active(
z0)),
ACTIVE(
z0)) by
TOP(ok(dbl(0))) → c63(TOP(mark(0)), ACTIVE(dbl(0)))
419.86/127.30
TOP(ok(dbl(s(z0)))) → c63(TOP(mark(s(s(dbl(z0))))), ACTIVE(dbl(s(z0))))
419.86/127.30
TOP(ok(dbls(nil))) → c63(TOP(mark(nil)), ACTIVE(dbls(nil)))
419.86/127.30
TOP(ok(dbls(cons(z0, z1)))) → c63(TOP(mark(cons(dbl(z0), dbls(z1)))), ACTIVE(dbls(cons(z0, z1))))
419.86/127.30
TOP(ok(sel(0, cons(z0, z1)))) → c63(TOP(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.86/127.30
TOP(ok(sel(s(z0), cons(z1, z2)))) → c63(TOP(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.86/127.30
TOP(ok(indx(nil, z0))) → c63(TOP(mark(nil)), ACTIVE(indx(nil, z0)))
419.86/127.30
TOP(ok(indx(cons(z0, z1), z2))) → c63(TOP(mark(cons(sel(z0, z2), indx(z1, z2)))), ACTIVE(indx(cons(z0, z1), z2)))
419.86/127.30
TOP(ok(from(z0))) → c63(TOP(mark(cons(z0, from(s(z0))))), ACTIVE(from(z0)))
419.86/127.30
TOP(ok(dbl1(0))) → c63(TOP(mark(01)), ACTIVE(dbl1(0)))
419.86/127.30
TOP(ok(dbl1(s(z0)))) → c63(TOP(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
419.86/127.30
TOP(ok(sel1(0, cons(z0, z1)))) → c63(TOP(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.86/127.30
TOP(ok(sel1(s(z0), cons(z1, z2)))) → c63(TOP(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.86/127.30
TOP(ok(quote(0))) → c63(TOP(mark(01)), ACTIVE(quote(0)))
419.86/127.30
TOP(ok(quote(s(z0)))) → c63(TOP(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
419.86/127.30
TOP(ok(quote(dbl(z0)))) → c63(TOP(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.86/127.30
TOP(ok(quote(sel(z0, z1)))) → c63(TOP(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.86/127.30
TOP(ok(dbl(z0))) → c63(TOP(dbl(active(z0))), ACTIVE(dbl(z0)))
419.86/127.30
TOP(ok(dbls(z0))) → c63(TOP(dbls(active(z0))), ACTIVE(dbls(z0)))
419.86/127.30
TOP(ok(sel(z0, z1))) → c63(TOP(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.86/127.30
TOP(ok(sel(z0, z1))) → c63(TOP(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.86/127.30
TOP(ok(indx(z0, z1))) → c63(TOP(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.86/127.30
TOP(ok(dbl1(z0))) → c63(TOP(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.86/127.30
TOP(ok(s1(z0))) → c63(TOP(s1(active(z0))), ACTIVE(s1(z0)))
419.86/127.30
TOP(ok(sel1(z0, z1))) → c63(TOP(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.86/127.30
TOP(ok(sel1(z0, z1))) → c63(TOP(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.86/127.30
TOP(ok(quote(z0))) → c63(TOP(quote(active(z0))), ACTIVE(quote(z0)))
419.86/127.30
419.86/127.30
(92) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
419.86/127.30
active(dbl(s(z0))) → mark(s(s(dbl(z0))))
419.86/127.30
active(dbls(nil)) → mark(nil)
419.86/127.30
active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
419.86/127.30
active(sel(0, cons(z0, z1))) → mark(z0)
419.86/127.30
active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
419.86/127.30
active(indx(nil, z0)) → mark(nil)
419.86/127.30
active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
419.86/127.30
active(from(z0)) → mark(cons(z0, from(s(z0))))
419.86/127.30
active(dbl1(0)) → mark(01)
419.86/127.30
active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
419.86/127.30
active(sel1(0, cons(z0, z1))) → mark(z0)
419.86/127.30
active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
419.86/127.30
active(quote(0)) → mark(01)
419.86/127.30
active(quote(s(z0))) → mark(s1(quote(z0)))
419.86/127.30
active(quote(dbl(z0))) → mark(dbl1(z0))
419.86/127.30
active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
419.86/127.30
active(dbl(z0)) → dbl(active(z0))
419.86/127.30
active(dbls(z0)) → dbls(active(z0))
419.86/127.30
active(sel(z0, z1)) → sel(active(z0), z1)
419.86/127.30
active(sel(z0, z1)) → sel(z0, active(z1))
419.86/127.30
active(indx(z0, z1)) → indx(active(z0), z1)
419.86/127.30
active(dbl1(z0)) → dbl1(active(z0))
419.86/127.30
active(s1(z0)) → s1(active(z0))
419.86/127.30
active(sel1(z0, z1)) → sel1(active(z0), z1)
419.86/127.30
active(sel1(z0, z1)) → sel1(z0, active(z1))
419.86/127.30
active(quote(z0)) → quote(active(z0))
419.86/127.30
dbl(mark(z0)) → mark(dbl(z0))
419.86/127.30
dbl(ok(z0)) → ok(dbl(z0))
419.86/127.30
dbls(mark(z0)) → mark(dbls(z0))
419.86/127.30
dbls(ok(z0)) → ok(dbls(z0))
419.86/127.30
sel(mark(z0), z1) → mark(sel(z0, z1))
419.86/127.30
sel(z0, mark(z1)) → mark(sel(z0, z1))
419.86/127.30
sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
419.86/127.30
indx(mark(z0), z1) → mark(indx(z0, z1))
419.86/127.30
indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
419.86/127.30
dbl1(mark(z0)) → mark(dbl1(z0))
419.86/127.30
dbl1(ok(z0)) → ok(dbl1(z0))
419.86/127.30
s1(mark(z0)) → mark(s1(z0))
419.86/127.30
s1(ok(z0)) → ok(s1(z0))
419.86/127.30
sel1(mark(z0), z1) → mark(sel1(z0, z1))
419.86/127.30
sel1(z0, mark(z1)) → mark(sel1(z0, z1))
419.86/127.30
sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
419.86/127.30
quote(mark(z0)) → mark(quote(z0))
419.86/127.30
quote(ok(z0)) → ok(quote(z0))
419.86/127.30
proper(dbl(z0)) → dbl(proper(z0))
419.86/127.30
proper(0) → ok(0)
419.86/127.30
proper(s(z0)) → s(proper(z0))
419.86/127.30
proper(dbls(z0)) → dbls(proper(z0))
419.86/127.30
proper(nil) → ok(nil)
419.86/127.30
proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
419.86/127.30
proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
419.86/127.30
proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
419.86/127.30
proper(from(z0)) → from(proper(z0))
419.86/127.30
proper(dbl1(z0)) → dbl1(proper(z0))
419.86/127.30
proper(01) → ok(01)
419.86/127.30
proper(s1(z0)) → s1(proper(z0))
419.86/127.30
proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
419.86/127.30
proper(quote(z0)) → quote(proper(z0))
419.86/127.30
s(ok(z0)) → ok(s(z0))
419.86/127.30
cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
419.86/127.30
from(ok(z0)) → ok(from(z0))
419.86/127.30
top(mark(z0)) → top(proper(z0))
419.86/127.30
top(ok(z0)) → top(active(z0))
Tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.86/127.30
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.86/127.30
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.86/127.30
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.86/127.30
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.86/127.30
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.86/127.30
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.86/127.30
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.86/127.30
DBL(mark(z0)) → c27(DBL(z0))
419.86/127.30
DBL(ok(z0)) → c28(DBL(z0))
419.86/127.30
DBLS(mark(z0)) → c29(DBLS(z0))
419.86/127.30
DBLS(ok(z0)) → c30(DBLS(z0))
419.86/127.30
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.86/127.30
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.86/127.30
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.86/127.30
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.86/127.30
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.86/127.30
DBL1(mark(z0)) → c36(DBL1(z0))
419.86/127.30
DBL1(ok(z0)) → c37(DBL1(z0))
419.86/127.30
S1(mark(z0)) → c38(S1(z0))
419.86/127.30
S1(ok(z0)) → c39(S1(z0))
419.86/127.30
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.86/127.30
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.86/127.30
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.86/127.30
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.86/127.30
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.86/127.30
S(ok(z0)) → c59(S(z0))
419.86/127.30
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.86/127.30
FROM(ok(z0)) → c61(FROM(z0))
419.86/127.30
ACTIVE(from(z0)) → c8(S(z0))
419.86/127.30
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.86/127.30
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.86/127.30
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.86/127.30
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.86/127.30
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.86/127.30
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.86/127.30
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.86/127.30
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.86/127.30
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.86/127.30
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.86/127.30
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.86/127.30
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.86/127.30
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.86/127.30
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.86/127.30
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.86/127.30
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.86/127.30
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.86/127.30
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.86/127.30
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.86/127.30
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.86/127.30
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.86/127.30
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.86/127.30
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.86/127.30
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.86/127.30
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.86/127.30
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.86/127.30
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.86/127.30
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.86/127.30
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.86/127.30
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.86/127.30
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.86/127.30
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.86/127.30
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.86/127.30
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.86/127.30
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.86/127.30
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.86/127.30
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.86/127.30
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.86/127.30
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.86/127.30
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.86/127.30
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.86/127.30
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.86/127.30
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.86/127.30
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.86/127.30
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.86/127.30
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.86/127.30
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.86/127.30
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.86/127.30
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.86/127.30
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.86/127.30
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.86/127.30
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.86/127.30
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.86/127.30
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.86/127.30
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.86/127.30
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.86/127.30
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.86/127.30
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.86/127.30
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.86/127.30
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.86/127.30
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.86/127.30
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.86/127.30
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.86/127.30
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.86/127.30
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.86/127.30
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.86/127.30
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.86/127.30
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.86/127.30
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.86/127.30
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.86/127.30
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.86/127.30
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.86/127.30
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.86/127.30
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.86/127.30
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.86/127.30
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.86/127.30
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.86/127.30
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.86/127.30
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.86/127.30
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.86/127.30
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.86/127.30
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.86/127.30
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.86/127.30
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.86/127.30
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.86/127.30
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.86/127.30
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.86/127.30
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.86/127.30
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.86/127.30
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.86/127.30
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.86/127.30
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.86/127.30
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.86/127.30
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.86/127.30
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.86/127.30
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.86/127.30
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.86/127.30
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.86/127.30
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.86/127.30
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.86/127.30
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.86/127.30
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.86/127.30
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.86/127.30
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.86/127.30
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.86/127.30
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.86/127.30
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.86/127.30
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.86/127.30
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.86/127.30
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.86/127.30
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.86/127.30
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.86/127.30
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.86/127.30
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.86/127.30
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.86/127.30
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.86/127.30
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.86/127.30
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.86/127.30
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.86/127.30
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.86/127.30
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.86/127.30
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.86/127.30
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.86/127.30
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.86/127.30
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.86/127.30
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.86/127.30
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.86/127.30
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.86/127.30
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.86/127.30
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.86/127.30
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.86/127.30
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.86/127.30
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.86/127.30
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.86/127.30
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.86/127.30
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.86/127.30
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.86/127.30
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.86/127.30
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.86/127.30
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.86/127.30
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.86/127.30
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.86/127.30
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.86/127.30
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.86/127.30
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.86/127.30
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.86/127.30
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.86/127.30
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.86/127.30
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.86/127.30
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.86/127.30
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.86/127.30
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.86/127.30
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.86/127.30
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.86/127.30
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.86/127.30
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.86/127.30
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.86/127.30
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.86/127.30
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.86/127.30
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.86/127.30
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.86/127.30
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.86/127.30
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.86/127.30
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.86/127.30
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.86/127.30
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.86/127.30
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.86/127.30
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.86/127.30
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.86/127.30
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.86/127.30
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.86/127.30
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.86/127.30
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.86/127.30
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.86/127.30
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.86/127.30
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.86/127.30
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.86/127.30
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.86/127.30
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.86/127.30
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.86/127.30
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.86/127.30
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.86/127.30
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.86/127.30
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.86/127.30
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.86/127.30
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.86/127.30
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.86/127.30
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.86/127.30
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.86/127.30
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.86/127.30
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.86/127.30
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.86/127.30
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.86/127.30
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.86/127.30
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.86/127.30
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.86/127.30
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.86/127.30
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.86/127.30
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.86/127.30
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.86/127.30
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.86/127.30
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.86/127.30
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.86/127.30
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.86/127.30
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.86/127.30
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.86/127.30
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.86/127.30
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.86/127.30
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.86/127.30
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.86/127.30
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.86/127.30
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.86/127.30
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.86/127.30
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.86/127.30
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.86/127.30
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.86/127.30
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.86/127.30
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.86/127.30
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.86/127.30
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.86/127.30
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.86/127.30
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.86/127.30
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.86/127.30
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.86/127.30
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.86/127.30
PROPER(dbl(01)) → c45(DBL(ok(01)))
419.86/127.30
PROPER(s(dbl(z0))) → c47(S(dbl(proper(z0))), PROPER(dbl(z0)))
419.86/127.30
PROPER(s(s(z0))) → c47(S(s(proper(z0))), PROPER(s(z0)))
419.86/127.30
PROPER(s(dbls(z0))) → c47(S(dbls(proper(z0))), PROPER(dbls(z0)))
419.86/127.30
PROPER(s(cons(z0, z1))) → c47(S(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.86/127.30
PROPER(s(sel(z0, z1))) → c47(S(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.86/127.30
PROPER(s(indx(z0, z1))) → c47(S(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.86/127.30
PROPER(s(from(z0))) → c47(S(from(proper(z0))), PROPER(from(z0)))
419.86/127.30
PROPER(s(dbl1(z0))) → c47(S(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.86/127.30
PROPER(s(s1(z0))) → c47(S(s1(proper(z0))), PROPER(s1(z0)))
419.86/127.30
PROPER(s(sel1(z0, z1))) → c47(S(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.86/127.30
PROPER(s(quote(z0))) → c47(S(quote(proper(z0))), PROPER(quote(z0)))
419.86/127.30
PROPER(s(0)) → c47(S(ok(0)))
419.86/127.30
PROPER(s(nil)) → c47(S(ok(nil)))
419.86/127.30
PROPER(s(01)) → c47(S(ok(01)))
419.86/127.30
PROPER(dbls(dbl(z0))) → c48(DBLS(dbl(proper(z0))), PROPER(dbl(z0)))
419.86/127.30
PROPER(dbls(s(z0))) → c48(DBLS(s(proper(z0))), PROPER(s(z0)))
419.86/127.30
PROPER(dbls(dbls(z0))) → c48(DBLS(dbls(proper(z0))), PROPER(dbls(z0)))
419.86/127.30
PROPER(dbls(cons(z0, z1))) → c48(DBLS(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.86/127.30
PROPER(dbls(sel(z0, z1))) → c48(DBLS(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.86/127.30
PROPER(dbls(indx(z0, z1))) → c48(DBLS(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.86/127.30
PROPER(dbls(from(z0))) → c48(DBLS(from(proper(z0))), PROPER(from(z0)))
419.86/127.30
PROPER(dbls(dbl1(z0))) → c48(DBLS(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.86/127.30
PROPER(dbls(s1(z0))) → c48(DBLS(s1(proper(z0))), PROPER(s1(z0)))
419.86/127.30
PROPER(dbls(sel1(z0, z1))) → c48(DBLS(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.86/127.30
PROPER(dbls(quote(z0))) → c48(DBLS(quote(proper(z0))), PROPER(quote(z0)))
419.86/127.30
PROPER(dbls(0)) → c48(DBLS(ok(0)))
419.86/127.30
PROPER(dbls(nil)) → c48(DBLS(ok(nil)))
419.86/127.30
PROPER(dbls(01)) → c48(DBLS(ok(01)))
419.86/127.30
PROPER(cons(x0, dbl(z0))) → c50(CONS(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.86/127.30
PROPER(cons(x0, s(z0))) → c50(CONS(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.86/127.30
PROPER(cons(x0, dbls(z0))) → c50(CONS(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.86/127.30
PROPER(cons(x0, cons(z0, z1))) → c50(CONS(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.86/127.30
PROPER(cons(x0, sel(z0, z1))) → c50(CONS(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.86/127.30
PROPER(cons(x0, indx(z0, z1))) → c50(CONS(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.86/127.30
PROPER(cons(x0, from(z0))) → c50(CONS(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.86/127.30
PROPER(cons(x0, dbl1(z0))) → c50(CONS(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.86/127.30
PROPER(cons(x0, s1(z0))) → c50(CONS(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.86/127.30
PROPER(cons(x0, sel1(z0, z1))) → c50(CONS(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.86/127.30
PROPER(cons(x0, quote(z0))) → c50(CONS(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.86/127.30
PROPER(cons(dbl(z0), x1)) → c50(CONS(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.86/127.30
PROPER(cons(s(z0), x1)) → c50(CONS(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.86/127.30
PROPER(cons(dbls(z0), x1)) → c50(CONS(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.86/127.30
PROPER(cons(cons(z0, z1), x1)) → c50(CONS(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.86/127.30
PROPER(cons(sel(z0, z1), x1)) → c50(CONS(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.86/127.30
PROPER(cons(indx(z0, z1), x1)) → c50(CONS(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.86/127.30
PROPER(cons(from(z0), x1)) → c50(CONS(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.86/127.30
PROPER(cons(dbl1(z0), x1)) → c50(CONS(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.86/127.30
PROPER(cons(s1(z0), x1)) → c50(CONS(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.86/127.30
PROPER(cons(sel1(z0, z1), x1)) → c50(CONS(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.86/127.30
PROPER(cons(quote(z0), x1)) → c50(CONS(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.86/127.30
PROPER(cons(x0, 0)) → c50(CONS(proper(x0), ok(0)), PROPER(x0))
419.86/127.30
PROPER(cons(x0, nil)) → c50(CONS(proper(x0), ok(nil)), PROPER(x0))
419.86/127.30
PROPER(cons(x0, 01)) → c50(CONS(proper(x0), ok(01)), PROPER(x0))
419.86/127.30
PROPER(cons(0, x1)) → c50(CONS(ok(0), proper(x1)), PROPER(x1))
419.86/127.30
PROPER(cons(nil, x1)) → c50(CONS(ok(nil), proper(x1)), PROPER(x1))
419.86/127.30
PROPER(cons(01, x1)) → c50(CONS(ok(01), proper(x1)), PROPER(x1))
419.86/127.30
PROPER(sel(x0, dbl(z0))) → c51(SEL(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.86/127.30
PROPER(sel(x0, s(z0))) → c51(SEL(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.86/127.30
PROPER(sel(x0, dbls(z0))) → c51(SEL(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.86/127.30
PROPER(sel(x0, cons(z0, z1))) → c51(SEL(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.86/127.30
PROPER(sel(x0, sel(z0, z1))) → c51(SEL(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.86/127.30
PROPER(sel(x0, indx(z0, z1))) → c51(SEL(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.86/127.30
PROPER(sel(x0, from(z0))) → c51(SEL(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.86/127.30
PROPER(sel(x0, dbl1(z0))) → c51(SEL(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.86/127.30
PROPER(sel(x0, s1(z0))) → c51(SEL(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.86/127.30
PROPER(sel(x0, sel1(z0, z1))) → c51(SEL(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.86/127.30
PROPER(sel(x0, quote(z0))) → c51(SEL(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.86/127.30
PROPER(sel(dbl(z0), x1)) → c51(SEL(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.86/127.30
PROPER(sel(s(z0), x1)) → c51(SEL(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.86/127.30
PROPER(sel(dbls(z0), x1)) → c51(SEL(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.86/127.30
PROPER(sel(cons(z0, z1), x1)) → c51(SEL(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.86/127.30
PROPER(sel(sel(z0, z1), x1)) → c51(SEL(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.86/127.30
PROPER(sel(indx(z0, z1), x1)) → c51(SEL(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.86/127.30
PROPER(sel(from(z0), x1)) → c51(SEL(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.86/127.30
PROPER(sel(dbl1(z0), x1)) → c51(SEL(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.86/127.30
PROPER(sel(s1(z0), x1)) → c51(SEL(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.86/127.30
PROPER(sel(sel1(z0, z1), x1)) → c51(SEL(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.86/127.30
PROPER(sel(quote(z0), x1)) → c51(SEL(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.86/127.30
PROPER(sel(x0, 0)) → c51(SEL(proper(x0), ok(0)), PROPER(x0))
419.86/127.30
PROPER(sel(x0, nil)) → c51(SEL(proper(x0), ok(nil)), PROPER(x0))
419.86/127.30
PROPER(sel(x0, 01)) → c51(SEL(proper(x0), ok(01)), PROPER(x0))
419.86/127.30
PROPER(sel(0, x1)) → c51(SEL(ok(0), proper(x1)), PROPER(x1))
419.86/127.30
PROPER(sel(nil, x1)) → c51(SEL(ok(nil), proper(x1)), PROPER(x1))
419.86/127.30
PROPER(sel(01, x1)) → c51(SEL(ok(01), proper(x1)), PROPER(x1))
419.86/127.30
PROPER(indx(x0, dbl(z0))) → c52(INDX(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.86/127.30
PROPER(indx(x0, s(z0))) → c52(INDX(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.86/127.30
PROPER(indx(x0, dbls(z0))) → c52(INDX(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.86/127.30
PROPER(indx(x0, cons(z0, z1))) → c52(INDX(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.86/127.30
PROPER(indx(x0, sel(z0, z1))) → c52(INDX(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.86/127.30
PROPER(indx(x0, indx(z0, z1))) → c52(INDX(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.86/127.30
PROPER(indx(x0, from(z0))) → c52(INDX(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.86/127.30
PROPER(indx(x0, dbl1(z0))) → c52(INDX(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.86/127.30
PROPER(indx(x0, s1(z0))) → c52(INDX(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.86/127.30
PROPER(indx(x0, sel1(z0, z1))) → c52(INDX(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.86/127.30
PROPER(indx(x0, quote(z0))) → c52(INDX(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.86/127.30
PROPER(indx(dbl(z0), x1)) → c52(INDX(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.86/127.30
PROPER(indx(s(z0), x1)) → c52(INDX(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.86/127.30
PROPER(indx(dbls(z0), x1)) → c52(INDX(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.86/127.30
PROPER(indx(cons(z0, z1), x1)) → c52(INDX(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.86/127.30
PROPER(indx(sel(z0, z1), x1)) → c52(INDX(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.86/127.30
PROPER(indx(indx(z0, z1), x1)) → c52(INDX(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.86/127.30
PROPER(indx(from(z0), x1)) → c52(INDX(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.86/127.30
PROPER(indx(dbl1(z0), x1)) → c52(INDX(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.86/127.30
PROPER(indx(s1(z0), x1)) → c52(INDX(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.86/127.30
PROPER(indx(sel1(z0, z1), x1)) → c52(INDX(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.86/127.30
PROPER(indx(quote(z0), x1)) → c52(INDX(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.86/127.30
PROPER(indx(x0, 0)) → c52(INDX(proper(x0), ok(0)), PROPER(x0))
419.86/127.30
PROPER(indx(x0, nil)) → c52(INDX(proper(x0), ok(nil)), PROPER(x0))
419.86/127.30
PROPER(indx(x0, 01)) → c52(INDX(proper(x0), ok(01)), PROPER(x0))
419.86/127.30
PROPER(indx(0, x1)) → c52(INDX(ok(0), proper(x1)), PROPER(x1))
419.86/127.30
PROPER(indx(nil, x1)) → c52(INDX(ok(nil), proper(x1)), PROPER(x1))
419.86/127.30
PROPER(indx(01, x1)) → c52(INDX(ok(01), proper(x1)), PROPER(x1))
419.86/127.30
PROPER(from(dbl(z0))) → c53(FROM(dbl(proper(z0))), PROPER(dbl(z0)))
419.86/127.30
PROPER(from(s(z0))) → c53(FROM(s(proper(z0))), PROPER(s(z0)))
419.86/127.30
PROPER(from(dbls(z0))) → c53(FROM(dbls(proper(z0))), PROPER(dbls(z0)))
419.86/127.31
PROPER(from(cons(z0, z1))) → c53(FROM(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.86/127.31
PROPER(from(sel(z0, z1))) → c53(FROM(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.86/127.31
PROPER(from(indx(z0, z1))) → c53(FROM(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.86/127.31
PROPER(from(from(z0))) → c53(FROM(from(proper(z0))), PROPER(from(z0)))
419.86/127.31
PROPER(from(dbl1(z0))) → c53(FROM(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.86/127.31
PROPER(from(s1(z0))) → c53(FROM(s1(proper(z0))), PROPER(s1(z0)))
419.86/127.31
PROPER(from(sel1(z0, z1))) → c53(FROM(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.86/127.31
PROPER(from(quote(z0))) → c53(FROM(quote(proper(z0))), PROPER(quote(z0)))
419.86/127.31
PROPER(from(0)) → c53(FROM(ok(0)))
419.86/127.31
PROPER(from(nil)) → c53(FROM(ok(nil)))
419.86/127.31
PROPER(from(01)) → c53(FROM(ok(01)))
419.86/127.31
PROPER(dbl1(dbl(z0))) → c54(DBL1(dbl(proper(z0))), PROPER(dbl(z0)))
419.86/127.31
PROPER(dbl1(s(z0))) → c54(DBL1(s(proper(z0))), PROPER(s(z0)))
419.86/127.31
PROPER(dbl1(dbls(z0))) → c54(DBL1(dbls(proper(z0))), PROPER(dbls(z0)))
419.86/127.31
PROPER(dbl1(cons(z0, z1))) → c54(DBL1(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.86/127.31
PROPER(dbl1(sel(z0, z1))) → c54(DBL1(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.86/127.31
PROPER(dbl1(indx(z0, z1))) → c54(DBL1(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.86/127.31
PROPER(dbl1(from(z0))) → c54(DBL1(from(proper(z0))), PROPER(from(z0)))
419.86/127.31
PROPER(dbl1(dbl1(z0))) → c54(DBL1(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.86/127.31
PROPER(dbl1(s1(z0))) → c54(DBL1(s1(proper(z0))), PROPER(s1(z0)))
419.86/127.31
PROPER(dbl1(sel1(z0, z1))) → c54(DBL1(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.86/127.31
PROPER(dbl1(quote(z0))) → c54(DBL1(quote(proper(z0))), PROPER(quote(z0)))
419.86/127.31
PROPER(dbl1(0)) → c54(DBL1(ok(0)))
419.86/127.31
PROPER(dbl1(nil)) → c54(DBL1(ok(nil)))
419.86/127.31
PROPER(dbl1(01)) → c54(DBL1(ok(01)))
419.86/127.31
PROPER(s1(dbl(z0))) → c56(S1(dbl(proper(z0))), PROPER(dbl(z0)))
419.86/127.31
PROPER(s1(s(z0))) → c56(S1(s(proper(z0))), PROPER(s(z0)))
419.86/127.31
PROPER(s1(dbls(z0))) → c56(S1(dbls(proper(z0))), PROPER(dbls(z0)))
419.86/127.31
PROPER(s1(cons(z0, z1))) → c56(S1(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.86/127.31
PROPER(s1(sel(z0, z1))) → c56(S1(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.86/127.31
PROPER(s1(indx(z0, z1))) → c56(S1(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.86/127.31
PROPER(s1(from(z0))) → c56(S1(from(proper(z0))), PROPER(from(z0)))
419.86/127.31
PROPER(s1(dbl1(z0))) → c56(S1(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.86/127.31
PROPER(s1(s1(z0))) → c56(S1(s1(proper(z0))), PROPER(s1(z0)))
419.86/127.31
PROPER(s1(sel1(z0, z1))) → c56(S1(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.86/127.31
PROPER(s1(quote(z0))) → c56(S1(quote(proper(z0))), PROPER(quote(z0)))
419.86/127.31
PROPER(s1(0)) → c56(S1(ok(0)))
419.86/127.31
PROPER(s1(nil)) → c56(S1(ok(nil)))
419.86/127.31
PROPER(s1(01)) → c56(S1(ok(01)))
419.86/127.31
PROPER(sel1(x0, dbl(z0))) → c57(SEL1(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.86/127.31
PROPER(sel1(x0, s(z0))) → c57(SEL1(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.86/127.31
PROPER(sel1(x0, dbls(z0))) → c57(SEL1(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.86/127.31
PROPER(sel1(x0, cons(z0, z1))) → c57(SEL1(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.86/127.31
PROPER(sel1(x0, sel(z0, z1))) → c57(SEL1(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.86/127.31
PROPER(sel1(x0, indx(z0, z1))) → c57(SEL1(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.86/127.31
PROPER(sel1(x0, from(z0))) → c57(SEL1(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.86/127.31
PROPER(sel1(x0, dbl1(z0))) → c57(SEL1(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.86/127.31
PROPER(sel1(x0, s1(z0))) → c57(SEL1(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.86/127.31
PROPER(sel1(x0, sel1(z0, z1))) → c57(SEL1(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.86/127.31
PROPER(sel1(x0, quote(z0))) → c57(SEL1(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.86/127.31
PROPER(sel1(dbl(z0), x1)) → c57(SEL1(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.86/127.31
PROPER(sel1(s(z0), x1)) → c57(SEL1(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.86/127.31
PROPER(sel1(dbls(z0), x1)) → c57(SEL1(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.86/127.31
PROPER(sel1(cons(z0, z1), x1)) → c57(SEL1(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.86/127.31
PROPER(sel1(sel(z0, z1), x1)) → c57(SEL1(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.86/127.31
PROPER(sel1(indx(z0, z1), x1)) → c57(SEL1(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.86/127.31
PROPER(sel1(from(z0), x1)) → c57(SEL1(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.86/127.31
PROPER(sel1(dbl1(z0), x1)) → c57(SEL1(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.86/127.31
PROPER(sel1(s1(z0), x1)) → c57(SEL1(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.86/127.31
PROPER(sel1(sel1(z0, z1), x1)) → c57(SEL1(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.86/127.31
PROPER(sel1(quote(z0), x1)) → c57(SEL1(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.86/127.31
PROPER(sel1(x0, 0)) → c57(SEL1(proper(x0), ok(0)), PROPER(x0))
419.86/127.31
PROPER(sel1(x0, nil)) → c57(SEL1(proper(x0), ok(nil)), PROPER(x0))
419.86/127.31
PROPER(sel1(x0, 01)) → c57(SEL1(proper(x0), ok(01)), PROPER(x0))
419.86/127.31
PROPER(sel1(0, x1)) → c57(SEL1(ok(0), proper(x1)), PROPER(x1))
419.86/127.31
PROPER(sel1(nil, x1)) → c57(SEL1(ok(nil), proper(x1)), PROPER(x1))
419.86/127.31
PROPER(sel1(01, x1)) → c57(SEL1(ok(01), proper(x1)), PROPER(x1))
419.86/127.31
PROPER(quote(dbl(z0))) → c58(QUOTE(dbl(proper(z0))), PROPER(dbl(z0)))
419.86/127.31
PROPER(quote(s(z0))) → c58(QUOTE(s(proper(z0))), PROPER(s(z0)))
419.86/127.31
PROPER(quote(dbls(z0))) → c58(QUOTE(dbls(proper(z0))), PROPER(dbls(z0)))
419.86/127.31
PROPER(quote(cons(z0, z1))) → c58(QUOTE(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.86/127.31
PROPER(quote(sel(z0, z1))) → c58(QUOTE(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.86/127.31
PROPER(quote(indx(z0, z1))) → c58(QUOTE(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.86/127.31
PROPER(quote(from(z0))) → c58(QUOTE(from(proper(z0))), PROPER(from(z0)))
419.86/127.31
PROPER(quote(dbl1(z0))) → c58(QUOTE(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.86/127.31
PROPER(quote(s1(z0))) → c58(QUOTE(s1(proper(z0))), PROPER(s1(z0)))
419.86/127.31
PROPER(quote(sel1(z0, z1))) → c58(QUOTE(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.86/127.31
PROPER(quote(quote(z0))) → c58(QUOTE(quote(proper(z0))), PROPER(quote(z0)))
419.86/127.31
PROPER(quote(0)) → c58(QUOTE(ok(0)))
419.86/127.31
PROPER(quote(nil)) → c58(QUOTE(ok(nil)))
419.86/127.31
PROPER(quote(01)) → c58(QUOTE(ok(01)))
419.86/127.31
TOP(mark(dbl(z0))) → c62(TOP(dbl(proper(z0))), PROPER(dbl(z0)))
419.86/127.31
TOP(mark(s(z0))) → c62(TOP(s(proper(z0))), PROPER(s(z0)))
419.86/127.31
TOP(mark(dbls(z0))) → c62(TOP(dbls(proper(z0))), PROPER(dbls(z0)))
419.86/127.31
TOP(mark(cons(z0, z1))) → c62(TOP(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.86/127.31
TOP(mark(sel(z0, z1))) → c62(TOP(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.86/127.31
TOP(mark(indx(z0, z1))) → c62(TOP(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.86/127.31
TOP(mark(from(z0))) → c62(TOP(from(proper(z0))), PROPER(from(z0)))
419.86/127.31
TOP(mark(dbl1(z0))) → c62(TOP(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.86/127.31
TOP(mark(s1(z0))) → c62(TOP(s1(proper(z0))), PROPER(s1(z0)))
419.86/127.31
TOP(mark(sel1(z0, z1))) → c62(TOP(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.86/127.31
TOP(mark(quote(z0))) → c62(TOP(quote(proper(z0))), PROPER(quote(z0)))
419.86/127.31
TOP(mark(0)) → c62(TOP(ok(0)))
419.86/127.31
TOP(mark(nil)) → c62(TOP(ok(nil)))
419.86/127.31
TOP(mark(01)) → c62(TOP(ok(01)))
419.86/127.31
TOP(ok(dbl(0))) → c63(TOP(mark(0)), ACTIVE(dbl(0)))
419.86/127.31
TOP(ok(dbl(s(z0)))) → c63(TOP(mark(s(s(dbl(z0))))), ACTIVE(dbl(s(z0))))
419.86/127.31
TOP(ok(dbls(nil))) → c63(TOP(mark(nil)), ACTIVE(dbls(nil)))
419.86/127.31
TOP(ok(dbls(cons(z0, z1)))) → c63(TOP(mark(cons(dbl(z0), dbls(z1)))), ACTIVE(dbls(cons(z0, z1))))
419.86/127.31
TOP(ok(sel(0, cons(z0, z1)))) → c63(TOP(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.86/127.31
TOP(ok(sel(s(z0), cons(z1, z2)))) → c63(TOP(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.86/127.31
TOP(ok(indx(nil, z0))) → c63(TOP(mark(nil)), ACTIVE(indx(nil, z0)))
419.86/127.31
TOP(ok(indx(cons(z0, z1), z2))) → c63(TOP(mark(cons(sel(z0, z2), indx(z1, z2)))), ACTIVE(indx(cons(z0, z1), z2)))
419.86/127.31
TOP(ok(from(z0))) → c63(TOP(mark(cons(z0, from(s(z0))))), ACTIVE(from(z0)))
419.86/127.31
TOP(ok(dbl1(0))) → c63(TOP(mark(01)), ACTIVE(dbl1(0)))
419.86/127.31
TOP(ok(dbl1(s(z0)))) → c63(TOP(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
419.86/127.31
TOP(ok(sel1(0, cons(z0, z1)))) → c63(TOP(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.86/127.31
TOP(ok(sel1(s(z0), cons(z1, z2)))) → c63(TOP(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.86/127.31
TOP(ok(quote(0))) → c63(TOP(mark(01)), ACTIVE(quote(0)))
419.86/127.31
TOP(ok(quote(s(z0)))) → c63(TOP(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
419.86/127.31
TOP(ok(quote(dbl(z0)))) → c63(TOP(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.86/127.31
TOP(ok(quote(sel(z0, z1)))) → c63(TOP(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.86/127.31
TOP(ok(dbl(z0))) → c63(TOP(dbl(active(z0))), ACTIVE(dbl(z0)))
419.86/127.31
TOP(ok(dbls(z0))) → c63(TOP(dbls(active(z0))), ACTIVE(dbls(z0)))
419.86/127.31
TOP(ok(sel(z0, z1))) → c63(TOP(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.86/127.31
TOP(ok(sel(z0, z1))) → c63(TOP(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.86/127.31
TOP(ok(indx(z0, z1))) → c63(TOP(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.86/127.31
TOP(ok(dbl1(z0))) → c63(TOP(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.86/127.31
TOP(ok(s1(z0))) → c63(TOP(s1(active(z0))), ACTIVE(s1(z0)))
419.86/127.31
TOP(ok(sel1(z0, z1))) → c63(TOP(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.86/127.31
TOP(ok(sel1(z0, z1))) → c63(TOP(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.86/127.31
TOP(ok(quote(z0))) → c63(TOP(quote(active(z0))), ACTIVE(quote(z0)))
S tuples:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.86/127.31
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.86/127.31
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.86/127.31
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.86/127.31
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.86/127.31
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.86/127.31
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.86/127.31
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.86/127.31
DBL(mark(z0)) → c27(DBL(z0))
419.86/127.31
DBL(ok(z0)) → c28(DBL(z0))
419.86/127.31
DBLS(mark(z0)) → c29(DBLS(z0))
419.86/127.31
DBLS(ok(z0)) → c30(DBLS(z0))
419.86/127.31
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.86/127.31
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.86/127.31
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.86/127.31
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.86/127.31
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.86/127.31
DBL1(mark(z0)) → c36(DBL1(z0))
419.86/127.31
DBL1(ok(z0)) → c37(DBL1(z0))
419.86/127.31
S1(mark(z0)) → c38(S1(z0))
419.86/127.31
S1(ok(z0)) → c39(S1(z0))
419.86/127.31
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.86/127.31
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.86/127.31
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.86/127.31
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.86/127.31
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.86/127.31
S(ok(z0)) → c59(S(z0))
419.86/127.31
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.86/127.31
FROM(ok(z0)) → c61(FROM(z0))
419.86/127.31
ACTIVE(from(z0)) → c8(S(z0))
419.86/127.31
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.86/127.31
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.86/127.31
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.86/127.31
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.86/127.31
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.86/127.31
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.86/127.31
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.86/127.31
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.86/127.31
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.86/127.31
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.86/127.31
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.86/127.31
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.86/127.31
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.86/127.31
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.86/127.31
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.86/127.31
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.86/127.31
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.86/127.31
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.86/127.31
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.86/127.31
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.86/127.31
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.86/127.31
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.86/127.31
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.86/127.31
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.86/127.31
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.86/127.31
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.86/127.31
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.86/127.31
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.86/127.31
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.86/127.31
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.86/127.31
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.86/127.31
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.86/127.31
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.86/127.31
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.86/127.31
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.86/127.31
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.86/127.31
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.86/127.31
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.86/127.31
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.86/127.31
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.86/127.31
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.86/127.31
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.86/127.31
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.86/127.31
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.86/127.31
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.86/127.31
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.86/127.31
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.86/127.31
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.86/127.31
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.86/127.31
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.86/127.31
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.86/127.31
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.86/127.31
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.86/127.31
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.86/127.31
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.86/127.31
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.86/127.31
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.86/127.31
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.86/127.31
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.86/127.31
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.86/127.31
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.86/127.31
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.86/127.31
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.86/127.31
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.86/127.31
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.86/127.31
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.86/127.31
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.86/127.31
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.86/127.31
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.86/127.31
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.86/127.31
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.86/127.31
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.86/127.31
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.86/127.31
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.86/127.31
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.86/127.31
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.86/127.31
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.86/127.31
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.86/127.31
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.86/127.31
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.86/127.31
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.86/127.31
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.86/127.31
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.86/127.31
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.86/127.31
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.86/127.31
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.86/127.31
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.86/127.31
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.86/127.31
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.86/127.31
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.86/127.31
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.86/127.31
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.86/127.31
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.86/127.31
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.86/127.31
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.86/127.31
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.86/127.31
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.86/127.31
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.86/127.31
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.86/127.31
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.86/127.31
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.86/127.31
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.86/127.31
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.86/127.31
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.86/127.31
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.86/127.31
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.86/127.31
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.86/127.31
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.86/127.31
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.86/127.31
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.86/127.31
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.86/127.31
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.86/127.31
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.86/127.31
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.86/127.31
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.86/127.31
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.86/127.31
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.86/127.31
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.86/127.31
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.86/127.31
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.86/127.31
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.86/127.31
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.86/127.31
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.86/127.31
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.86/127.31
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.86/127.31
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.86/127.31
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.86/127.31
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.86/127.31
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.86/127.31
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.86/127.31
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.86/127.31
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.86/127.31
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.86/127.31
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.86/127.31
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.86/127.31
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.86/127.31
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.86/127.31
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.86/127.31
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.86/127.31
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.86/127.31
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.86/127.31
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.86/127.31
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.86/127.31
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.86/127.31
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.86/127.31
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.86/127.31
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.86/127.31
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.86/127.31
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.86/127.31
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.86/127.31
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.86/127.31
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.86/127.31
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.86/127.31
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.86/127.31
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.86/127.31
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.86/127.31
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.86/127.31
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.86/127.31
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.86/127.31
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.86/127.31
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.86/127.31
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.86/127.31
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.86/127.31
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.86/127.31
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.86/127.31
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.86/127.31
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.86/127.31
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.86/127.31
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.86/127.31
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.86/127.31
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.86/127.31
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.86/127.31
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.86/127.31
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.86/127.31
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.86/127.31
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.86/127.31
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.86/127.31
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.86/127.31
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.86/127.31
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.86/127.31
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.86/127.31
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.86/127.31
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.86/127.31
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.86/127.31
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.86/127.31
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.86/127.31
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.86/127.31
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.86/127.31
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.86/127.31
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.86/127.31
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.86/127.31
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.86/127.31
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.86/127.31
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.86/127.31
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.86/127.31
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.86/127.31
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.86/127.31
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.86/127.31
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.86/127.31
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.86/127.31
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.86/127.31
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.86/127.31
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.86/127.31
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.86/127.31
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.86/127.31
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.86/127.31
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.86/127.31
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.86/127.31
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.86/127.31
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.86/127.31
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.86/127.31
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.86/127.31
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.86/127.31
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.86/127.31
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.86/127.31
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.86/127.31
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.86/127.31
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.86/127.31
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.86/127.31
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.86/127.31
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.86/127.31
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.86/127.31
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.86/127.31
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.86/127.31
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.86/127.31
PROPER(dbl(01)) → c45(DBL(ok(01)))
419.86/127.31
PROPER(s(dbl(z0))) → c47(S(dbl(proper(z0))), PROPER(dbl(z0)))
419.86/127.31
PROPER(s(s(z0))) → c47(S(s(proper(z0))), PROPER(s(z0)))
419.86/127.31
PROPER(s(dbls(z0))) → c47(S(dbls(proper(z0))), PROPER(dbls(z0)))
419.86/127.31
PROPER(s(cons(z0, z1))) → c47(S(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.86/127.31
PROPER(s(sel(z0, z1))) → c47(S(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.86/127.31
PROPER(s(indx(z0, z1))) → c47(S(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.86/127.31
PROPER(s(from(z0))) → c47(S(from(proper(z0))), PROPER(from(z0)))
419.86/127.31
PROPER(s(dbl1(z0))) → c47(S(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.86/127.31
PROPER(s(s1(z0))) → c47(S(s1(proper(z0))), PROPER(s1(z0)))
419.86/127.31
PROPER(s(sel1(z0, z1))) → c47(S(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.86/127.31
PROPER(s(quote(z0))) → c47(S(quote(proper(z0))), PROPER(quote(z0)))
419.86/127.31
PROPER(s(0)) → c47(S(ok(0)))
419.86/127.31
PROPER(s(nil)) → c47(S(ok(nil)))
419.86/127.31
PROPER(s(01)) → c47(S(ok(01)))
419.86/127.31
PROPER(dbls(dbl(z0))) → c48(DBLS(dbl(proper(z0))), PROPER(dbl(z0)))
419.86/127.31
PROPER(dbls(s(z0))) → c48(DBLS(s(proper(z0))), PROPER(s(z0)))
419.86/127.31
PROPER(dbls(dbls(z0))) → c48(DBLS(dbls(proper(z0))), PROPER(dbls(z0)))
419.86/127.31
PROPER(dbls(cons(z0, z1))) → c48(DBLS(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.86/127.31
PROPER(dbls(sel(z0, z1))) → c48(DBLS(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.86/127.31
PROPER(dbls(indx(z0, z1))) → c48(DBLS(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.86/127.31
PROPER(dbls(from(z0))) → c48(DBLS(from(proper(z0))), PROPER(from(z0)))
419.86/127.31
PROPER(dbls(dbl1(z0))) → c48(DBLS(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.86/127.31
PROPER(dbls(s1(z0))) → c48(DBLS(s1(proper(z0))), PROPER(s1(z0)))
419.86/127.31
PROPER(dbls(sel1(z0, z1))) → c48(DBLS(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.86/127.31
PROPER(dbls(quote(z0))) → c48(DBLS(quote(proper(z0))), PROPER(quote(z0)))
419.86/127.31
PROPER(dbls(0)) → c48(DBLS(ok(0)))
419.86/127.31
PROPER(dbls(nil)) → c48(DBLS(ok(nil)))
419.86/127.31
PROPER(dbls(01)) → c48(DBLS(ok(01)))
419.86/127.31
PROPER(cons(x0, dbl(z0))) → c50(CONS(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.86/127.31
PROPER(cons(x0, s(z0))) → c50(CONS(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.86/127.31
PROPER(cons(x0, dbls(z0))) → c50(CONS(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.86/127.31
PROPER(cons(x0, cons(z0, z1))) → c50(CONS(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.86/127.31
PROPER(cons(x0, sel(z0, z1))) → c50(CONS(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.86/127.31
PROPER(cons(x0, indx(z0, z1))) → c50(CONS(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.86/127.31
PROPER(cons(x0, from(z0))) → c50(CONS(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.86/127.31
PROPER(cons(x0, dbl1(z0))) → c50(CONS(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.86/127.31
PROPER(cons(x0, s1(z0))) → c50(CONS(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.86/127.31
PROPER(cons(x0, sel1(z0, z1))) → c50(CONS(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.86/127.31
PROPER(cons(x0, quote(z0))) → c50(CONS(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.86/127.31
PROPER(cons(dbl(z0), x1)) → c50(CONS(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.86/127.31
PROPER(cons(s(z0), x1)) → c50(CONS(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.86/127.31
PROPER(cons(dbls(z0), x1)) → c50(CONS(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.86/127.31
PROPER(cons(cons(z0, z1), x1)) → c50(CONS(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.86/127.31
PROPER(cons(sel(z0, z1), x1)) → c50(CONS(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.86/127.31
PROPER(cons(indx(z0, z1), x1)) → c50(CONS(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.86/127.31
PROPER(cons(from(z0), x1)) → c50(CONS(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.86/127.31
PROPER(cons(dbl1(z0), x1)) → c50(CONS(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.86/127.31
PROPER(cons(s1(z0), x1)) → c50(CONS(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.86/127.31
PROPER(cons(sel1(z0, z1), x1)) → c50(CONS(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.86/127.31
PROPER(cons(quote(z0), x1)) → c50(CONS(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.86/127.31
PROPER(cons(x0, 0)) → c50(CONS(proper(x0), ok(0)), PROPER(x0))
419.86/127.31
PROPER(cons(x0, nil)) → c50(CONS(proper(x0), ok(nil)), PROPER(x0))
419.86/127.31
PROPER(cons(x0, 01)) → c50(CONS(proper(x0), ok(01)), PROPER(x0))
419.86/127.31
PROPER(cons(0, x1)) → c50(CONS(ok(0), proper(x1)), PROPER(x1))
419.86/127.31
PROPER(cons(nil, x1)) → c50(CONS(ok(nil), proper(x1)), PROPER(x1))
419.86/127.31
PROPER(cons(01, x1)) → c50(CONS(ok(01), proper(x1)), PROPER(x1))
419.86/127.31
PROPER(sel(x0, dbl(z0))) → c51(SEL(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.86/127.31
PROPER(sel(x0, s(z0))) → c51(SEL(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.86/127.31
PROPER(sel(x0, dbls(z0))) → c51(SEL(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.86/127.31
PROPER(sel(x0, cons(z0, z1))) → c51(SEL(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.86/127.31
PROPER(sel(x0, sel(z0, z1))) → c51(SEL(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.86/127.31
PROPER(sel(x0, indx(z0, z1))) → c51(SEL(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.86/127.31
PROPER(sel(x0, from(z0))) → c51(SEL(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.86/127.31
PROPER(sel(x0, dbl1(z0))) → c51(SEL(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.86/127.31
PROPER(sel(x0, s1(z0))) → c51(SEL(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.86/127.31
PROPER(sel(x0, sel1(z0, z1))) → c51(SEL(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.86/127.31
PROPER(sel(x0, quote(z0))) → c51(SEL(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.86/127.31
PROPER(sel(dbl(z0), x1)) → c51(SEL(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.86/127.31
PROPER(sel(s(z0), x1)) → c51(SEL(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.86/127.31
PROPER(sel(dbls(z0), x1)) → c51(SEL(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.86/127.31
PROPER(sel(cons(z0, z1), x1)) → c51(SEL(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.86/127.31
PROPER(sel(sel(z0, z1), x1)) → c51(SEL(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.86/127.31
PROPER(sel(indx(z0, z1), x1)) → c51(SEL(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.86/127.31
PROPER(sel(from(z0), x1)) → c51(SEL(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.86/127.31
PROPER(sel(dbl1(z0), x1)) → c51(SEL(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.86/127.31
PROPER(sel(s1(z0), x1)) → c51(SEL(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.86/127.31
PROPER(sel(sel1(z0, z1), x1)) → c51(SEL(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.86/127.31
PROPER(sel(quote(z0), x1)) → c51(SEL(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.86/127.31
PROPER(sel(x0, 0)) → c51(SEL(proper(x0), ok(0)), PROPER(x0))
419.86/127.31
PROPER(sel(x0, nil)) → c51(SEL(proper(x0), ok(nil)), PROPER(x0))
419.86/127.31
PROPER(sel(x0, 01)) → c51(SEL(proper(x0), ok(01)), PROPER(x0))
419.86/127.31
PROPER(sel(0, x1)) → c51(SEL(ok(0), proper(x1)), PROPER(x1))
419.86/127.31
PROPER(sel(nil, x1)) → c51(SEL(ok(nil), proper(x1)), PROPER(x1))
419.86/127.31
PROPER(sel(01, x1)) → c51(SEL(ok(01), proper(x1)), PROPER(x1))
419.86/127.31
PROPER(indx(x0, dbl(z0))) → c52(INDX(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.86/127.31
PROPER(indx(x0, s(z0))) → c52(INDX(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.86/127.31
PROPER(indx(x0, dbls(z0))) → c52(INDX(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.86/127.31
PROPER(indx(x0, cons(z0, z1))) → c52(INDX(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.86/127.31
PROPER(indx(x0, sel(z0, z1))) → c52(INDX(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.86/127.31
PROPER(indx(x0, indx(z0, z1))) → c52(INDX(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.86/127.31
PROPER(indx(x0, from(z0))) → c52(INDX(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.86/127.31
PROPER(indx(x0, dbl1(z0))) → c52(INDX(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.86/127.31
PROPER(indx(x0, s1(z0))) → c52(INDX(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.86/127.31
PROPER(indx(x0, sel1(z0, z1))) → c52(INDX(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.86/127.31
PROPER(indx(x0, quote(z0))) → c52(INDX(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.86/127.31
PROPER(indx(dbl(z0), x1)) → c52(INDX(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.86/127.31
PROPER(indx(s(z0), x1)) → c52(INDX(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.86/127.31
PROPER(indx(dbls(z0), x1)) → c52(INDX(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.86/127.31
PROPER(indx(cons(z0, z1), x1)) → c52(INDX(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.86/127.31
PROPER(indx(sel(z0, z1), x1)) → c52(INDX(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.86/127.31
PROPER(indx(indx(z0, z1), x1)) → c52(INDX(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.86/127.31
PROPER(indx(from(z0), x1)) → c52(INDX(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.86/127.31
PROPER(indx(dbl1(z0), x1)) → c52(INDX(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.86/127.31
PROPER(indx(s1(z0), x1)) → c52(INDX(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.86/127.31
PROPER(indx(sel1(z0, z1), x1)) → c52(INDX(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.86/127.31
PROPER(indx(quote(z0), x1)) → c52(INDX(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.86/127.31
PROPER(indx(x0, 0)) → c52(INDX(proper(x0), ok(0)), PROPER(x0))
419.86/127.31
PROPER(indx(x0, nil)) → c52(INDX(proper(x0), ok(nil)), PROPER(x0))
419.86/127.31
PROPER(indx(x0, 01)) → c52(INDX(proper(x0), ok(01)), PROPER(x0))
419.86/127.31
PROPER(indx(0, x1)) → c52(INDX(ok(0), proper(x1)), PROPER(x1))
419.86/127.31
PROPER(indx(nil, x1)) → c52(INDX(ok(nil), proper(x1)), PROPER(x1))
419.86/127.31
PROPER(indx(01, x1)) → c52(INDX(ok(01), proper(x1)), PROPER(x1))
419.86/127.31
PROPER(from(dbl(z0))) → c53(FROM(dbl(proper(z0))), PROPER(dbl(z0)))
419.86/127.31
PROPER(from(s(z0))) → c53(FROM(s(proper(z0))), PROPER(s(z0)))
419.86/127.31
PROPER(from(dbls(z0))) → c53(FROM(dbls(proper(z0))), PROPER(dbls(z0)))
419.86/127.31
PROPER(from(cons(z0, z1))) → c53(FROM(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.86/127.31
PROPER(from(sel(z0, z1))) → c53(FROM(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.86/127.31
PROPER(from(indx(z0, z1))) → c53(FROM(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.86/127.31
PROPER(from(from(z0))) → c53(FROM(from(proper(z0))), PROPER(from(z0)))
419.86/127.31
PROPER(from(dbl1(z0))) → c53(FROM(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.86/127.31
PROPER(from(s1(z0))) → c53(FROM(s1(proper(z0))), PROPER(s1(z0)))
419.86/127.31
PROPER(from(sel1(z0, z1))) → c53(FROM(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.86/127.31
PROPER(from(quote(z0))) → c53(FROM(quote(proper(z0))), PROPER(quote(z0)))
419.86/127.31
PROPER(from(0)) → c53(FROM(ok(0)))
419.86/127.31
PROPER(from(nil)) → c53(FROM(ok(nil)))
419.86/127.31
PROPER(from(01)) → c53(FROM(ok(01)))
419.86/127.31
PROPER(dbl1(dbl(z0))) → c54(DBL1(dbl(proper(z0))), PROPER(dbl(z0)))
419.86/127.31
PROPER(dbl1(s(z0))) → c54(DBL1(s(proper(z0))), PROPER(s(z0)))
419.86/127.31
PROPER(dbl1(dbls(z0))) → c54(DBL1(dbls(proper(z0))), PROPER(dbls(z0)))
419.86/127.31
PROPER(dbl1(cons(z0, z1))) → c54(DBL1(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.86/127.31
PROPER(dbl1(sel(z0, z1))) → c54(DBL1(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.86/127.31
PROPER(dbl1(indx(z0, z1))) → c54(DBL1(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.86/127.31
PROPER(dbl1(from(z0))) → c54(DBL1(from(proper(z0))), PROPER(from(z0)))
419.86/127.31
PROPER(dbl1(dbl1(z0))) → c54(DBL1(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.86/127.31
PROPER(dbl1(s1(z0))) → c54(DBL1(s1(proper(z0))), PROPER(s1(z0)))
419.86/127.31
PROPER(dbl1(sel1(z0, z1))) → c54(DBL1(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.86/127.31
PROPER(dbl1(quote(z0))) → c54(DBL1(quote(proper(z0))), PROPER(quote(z0)))
419.86/127.31
PROPER(dbl1(0)) → c54(DBL1(ok(0)))
419.86/127.31
PROPER(dbl1(nil)) → c54(DBL1(ok(nil)))
419.86/127.31
PROPER(dbl1(01)) → c54(DBL1(ok(01)))
419.86/127.31
PROPER(s1(dbl(z0))) → c56(S1(dbl(proper(z0))), PROPER(dbl(z0)))
419.86/127.31
PROPER(s1(s(z0))) → c56(S1(s(proper(z0))), PROPER(s(z0)))
419.86/127.31
PROPER(s1(dbls(z0))) → c56(S1(dbls(proper(z0))), PROPER(dbls(z0)))
419.86/127.31
PROPER(s1(cons(z0, z1))) → c56(S1(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.86/127.31
PROPER(s1(sel(z0, z1))) → c56(S1(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.86/127.31
PROPER(s1(indx(z0, z1))) → c56(S1(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.86/127.31
PROPER(s1(from(z0))) → c56(S1(from(proper(z0))), PROPER(from(z0)))
419.86/127.31
PROPER(s1(dbl1(z0))) → c56(S1(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.86/127.31
PROPER(s1(s1(z0))) → c56(S1(s1(proper(z0))), PROPER(s1(z0)))
419.86/127.31
PROPER(s1(sel1(z0, z1))) → c56(S1(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.86/127.31
PROPER(s1(quote(z0))) → c56(S1(quote(proper(z0))), PROPER(quote(z0)))
419.86/127.31
PROPER(s1(0)) → c56(S1(ok(0)))
419.86/127.31
PROPER(s1(nil)) → c56(S1(ok(nil)))
419.86/127.31
PROPER(s1(01)) → c56(S1(ok(01)))
419.86/127.31
PROPER(sel1(x0, dbl(z0))) → c57(SEL1(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.86/127.31
PROPER(sel1(x0, s(z0))) → c57(SEL1(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.86/127.31
PROPER(sel1(x0, dbls(z0))) → c57(SEL1(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.86/127.31
PROPER(sel1(x0, cons(z0, z1))) → c57(SEL1(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.86/127.31
PROPER(sel1(x0, sel(z0, z1))) → c57(SEL1(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.86/127.31
PROPER(sel1(x0, indx(z0, z1))) → c57(SEL1(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.86/127.31
PROPER(sel1(x0, from(z0))) → c57(SEL1(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.86/127.31
PROPER(sel1(x0, dbl1(z0))) → c57(SEL1(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.86/127.31
PROPER(sel1(x0, s1(z0))) → c57(SEL1(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.86/127.31
PROPER(sel1(x0, sel1(z0, z1))) → c57(SEL1(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.86/127.31
PROPER(sel1(x0, quote(z0))) → c57(SEL1(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.86/127.31
PROPER(sel1(dbl(z0), x1)) → c57(SEL1(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.86/127.31
PROPER(sel1(s(z0), x1)) → c57(SEL1(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.86/127.31
PROPER(sel1(dbls(z0), x1)) → c57(SEL1(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.86/127.31
PROPER(sel1(cons(z0, z1), x1)) → c57(SEL1(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.86/127.31
PROPER(sel1(sel(z0, z1), x1)) → c57(SEL1(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.86/127.31
PROPER(sel1(indx(z0, z1), x1)) → c57(SEL1(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.86/127.31
PROPER(sel1(from(z0), x1)) → c57(SEL1(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.86/127.31
PROPER(sel1(dbl1(z0), x1)) → c57(SEL1(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.86/127.31
PROPER(sel1(s1(z0), x1)) → c57(SEL1(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.86/127.31
PROPER(sel1(sel1(z0, z1), x1)) → c57(SEL1(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.86/127.31
PROPER(sel1(quote(z0), x1)) → c57(SEL1(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.86/127.31
PROPER(sel1(x0, 0)) → c57(SEL1(proper(x0), ok(0)), PROPER(x0))
419.86/127.31
PROPER(sel1(x0, nil)) → c57(SEL1(proper(x0), ok(nil)), PROPER(x0))
419.86/127.31
PROPER(sel1(x0, 01)) → c57(SEL1(proper(x0), ok(01)), PROPER(x0))
419.86/127.31
PROPER(sel1(0, x1)) → c57(SEL1(ok(0), proper(x1)), PROPER(x1))
419.86/127.31
PROPER(sel1(nil, x1)) → c57(SEL1(ok(nil), proper(x1)), PROPER(x1))
419.86/127.31
PROPER(sel1(01, x1)) → c57(SEL1(ok(01), proper(x1)), PROPER(x1))
419.86/127.31
PROPER(quote(dbl(z0))) → c58(QUOTE(dbl(proper(z0))), PROPER(dbl(z0)))
419.86/127.31
PROPER(quote(s(z0))) → c58(QUOTE(s(proper(z0))), PROPER(s(z0)))
419.86/127.31
PROPER(quote(dbls(z0))) → c58(QUOTE(dbls(proper(z0))), PROPER(dbls(z0)))
419.86/127.31
PROPER(quote(cons(z0, z1))) → c58(QUOTE(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.86/127.31
PROPER(quote(sel(z0, z1))) → c58(QUOTE(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.86/127.31
PROPER(quote(indx(z0, z1))) → c58(QUOTE(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.86/127.31
PROPER(quote(from(z0))) → c58(QUOTE(from(proper(z0))), PROPER(from(z0)))
419.86/127.31
PROPER(quote(dbl1(z0))) → c58(QUOTE(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.86/127.31
PROPER(quote(s1(z0))) → c58(QUOTE(s1(proper(z0))), PROPER(s1(z0)))
419.86/127.31
PROPER(quote(sel1(z0, z1))) → c58(QUOTE(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.86/127.31
PROPER(quote(quote(z0))) → c58(QUOTE(quote(proper(z0))), PROPER(quote(z0)))
419.86/127.31
PROPER(quote(0)) → c58(QUOTE(ok(0)))
419.86/127.31
PROPER(quote(nil)) → c58(QUOTE(ok(nil)))
419.86/127.31
PROPER(quote(01)) → c58(QUOTE(ok(01)))
419.86/127.31
TOP(mark(dbl(z0))) → c62(TOP(dbl(proper(z0))), PROPER(dbl(z0)))
419.86/127.31
TOP(mark(s(z0))) → c62(TOP(s(proper(z0))), PROPER(s(z0)))
419.86/127.31
TOP(mark(dbls(z0))) → c62(TOP(dbls(proper(z0))), PROPER(dbls(z0)))
419.86/127.31
TOP(mark(cons(z0, z1))) → c62(TOP(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.86/127.31
TOP(mark(sel(z0, z1))) → c62(TOP(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.86/127.31
TOP(mark(indx(z0, z1))) → c62(TOP(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.86/127.31
TOP(mark(from(z0))) → c62(TOP(from(proper(z0))), PROPER(from(z0)))
419.86/127.31
TOP(mark(dbl1(z0))) → c62(TOP(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.86/127.31
TOP(mark(s1(z0))) → c62(TOP(s1(proper(z0))), PROPER(s1(z0)))
419.86/127.31
TOP(mark(sel1(z0, z1))) → c62(TOP(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.86/127.31
TOP(mark(quote(z0))) → c62(TOP(quote(proper(z0))), PROPER(quote(z0)))
419.86/127.31
TOP(mark(0)) → c62(TOP(ok(0)))
419.86/127.31
TOP(mark(nil)) → c62(TOP(ok(nil)))
419.86/127.31
TOP(mark(01)) → c62(TOP(ok(01)))
419.86/127.31
TOP(ok(dbl(0))) → c63(TOP(mark(0)), ACTIVE(dbl(0)))
419.86/127.31
TOP(ok(dbl(s(z0)))) → c63(TOP(mark(s(s(dbl(z0))))), ACTIVE(dbl(s(z0))))
419.86/127.31
TOP(ok(dbls(nil))) → c63(TOP(mark(nil)), ACTIVE(dbls(nil)))
419.86/127.31
TOP(ok(dbls(cons(z0, z1)))) → c63(TOP(mark(cons(dbl(z0), dbls(z1)))), ACTIVE(dbls(cons(z0, z1))))
419.86/127.31
TOP(ok(sel(0, cons(z0, z1)))) → c63(TOP(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.86/127.31
TOP(ok(sel(s(z0), cons(z1, z2)))) → c63(TOP(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.86/127.31
TOP(ok(indx(nil, z0))) → c63(TOP(mark(nil)), ACTIVE(indx(nil, z0)))
419.86/127.31
TOP(ok(indx(cons(z0, z1), z2))) → c63(TOP(mark(cons(sel(z0, z2), indx(z1, z2)))), ACTIVE(indx(cons(z0, z1), z2)))
419.86/127.31
TOP(ok(from(z0))) → c63(TOP(mark(cons(z0, from(s(z0))))), ACTIVE(from(z0)))
419.86/127.31
TOP(ok(dbl1(0))) → c63(TOP(mark(01)), ACTIVE(dbl1(0)))
419.86/127.31
TOP(ok(dbl1(s(z0)))) → c63(TOP(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
419.86/127.31
TOP(ok(sel1(0, cons(z0, z1)))) → c63(TOP(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.86/127.31
TOP(ok(sel1(s(z0), cons(z1, z2)))) → c63(TOP(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.86/127.31
TOP(ok(quote(0))) → c63(TOP(mark(01)), ACTIVE(quote(0)))
419.86/127.31
TOP(ok(quote(s(z0)))) → c63(TOP(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
419.86/127.31
TOP(ok(quote(dbl(z0)))) → c63(TOP(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.86/127.31
TOP(ok(quote(sel(z0, z1)))) → c63(TOP(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.86/127.31
TOP(ok(dbl(z0))) → c63(TOP(dbl(active(z0))), ACTIVE(dbl(z0)))
419.86/127.31
TOP(ok(dbls(z0))) → c63(TOP(dbls(active(z0))), ACTIVE(dbls(z0)))
419.86/127.31
TOP(ok(sel(z0, z1))) → c63(TOP(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.86/127.31
TOP(ok(sel(z0, z1))) → c63(TOP(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.86/127.31
TOP(ok(indx(z0, z1))) → c63(TOP(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.86/127.31
TOP(ok(dbl1(z0))) → c63(TOP(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.86/127.31
TOP(ok(s1(z0))) → c63(TOP(s1(active(z0))), ACTIVE(s1(z0)))
419.86/127.31
TOP(ok(sel1(z0, z1))) → c63(TOP(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.86/127.31
TOP(ok(sel1(z0, z1))) → c63(TOP(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.86/127.31
TOP(ok(quote(z0))) → c63(TOP(quote(active(z0))), ACTIVE(quote(z0)))
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
ACTIVE, DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, S, CONS, FROM, PROPER, TOP
Compound Symbols:
c5, c12, c15, c16, c19, c20, c24, c25, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c59, c60, c61, c8, c, c17, c17, c1, c18, c18, c2, c21, c21, c3, c22, c22, c4, c23, c23, c6, c26, c26, c7, c45, c45, c47, c47, c48, c48, c50, c50, c51, c51, c52, c52, c53, c53, c54, c54, c56, c56, c57, c57, c58, c58, c62, c62, c63
419.86/127.31
419.86/127.31
(93) CdtUnreachableProof (EQUIVALENT transformation)
The following tuples could be removed as they are not reachable from basic start terms:
ACTIVE(sel(s(z0), cons(z1, z2))) → c5(SEL(z0, z2))
419.86/127.31
ACTIVE(sel1(s(z0), cons(z1, z2))) → c12(SEL1(z0, z2))
419.86/127.31
ACTIVE(quote(dbl(z0))) → c15(DBL1(z0))
419.86/127.31
ACTIVE(quote(sel(z0, z1))) → c16(SEL1(z0, z1))
419.86/127.31
ACTIVE(sel(z0, z1)) → c19(SEL(active(z0), z1), ACTIVE(z0))
419.86/127.31
ACTIVE(sel(z0, z1)) → c20(SEL(z0, active(z1)), ACTIVE(z1))
419.86/127.31
ACTIVE(sel1(z0, z1)) → c24(SEL1(active(z0), z1), ACTIVE(z0))
419.86/127.31
ACTIVE(sel1(z0, z1)) → c25(SEL1(z0, active(z1)), ACTIVE(z1))
419.86/127.31
ACTIVE(from(z0)) → c8(S(z0))
419.86/127.31
ACTIVE(dbl(s(z0))) → c(S(s(dbl(z0))))
419.86/127.31
ACTIVE(dbl(s(z0))) → c(S(dbl(z0)))
419.86/127.31
ACTIVE(dbl(s(z0))) → c(DBL(z0))
419.86/127.31
ACTIVE(dbls(cons(z0, z1))) → c(CONS(dbl(z0), dbls(z1)))
419.86/127.31
ACTIVE(dbls(cons(z0, z1))) → c(DBL(z0))
419.86/127.31
ACTIVE(dbls(cons(z0, z1))) → c(DBLS(z1))
419.86/127.31
ACTIVE(indx(cons(z0, z1), z2)) → c(CONS(sel(z0, z2), indx(z1, z2)))
419.86/127.31
ACTIVE(indx(cons(z0, z1), z2)) → c(SEL(z0, z2))
419.86/127.31
ACTIVE(indx(cons(z0, z1), z2)) → c(INDX(z1, z2))
419.86/127.31
ACTIVE(dbl1(s(z0))) → c(S1(s1(dbl1(z0))))
419.86/127.31
ACTIVE(dbl1(s(z0))) → c(S1(dbl1(z0)))
419.86/127.31
ACTIVE(dbl1(s(z0))) → c(DBL1(z0))
419.86/127.31
ACTIVE(quote(s(z0))) → c(S1(quote(z0)))
419.86/127.31
ACTIVE(quote(s(z0))) → c(QUOTE(z0))
419.86/127.31
ACTIVE(dbl(sel(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.86/127.31
ACTIVE(dbl(sel(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.86/127.31
ACTIVE(dbl(sel1(0, cons(z0, z1)))) → c17(DBL(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.86/127.31
ACTIVE(dbl(sel1(s(z0), cons(z1, z2)))) → c17(DBL(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.86/127.31
ACTIVE(dbl(quote(dbl(z0)))) → c17(DBL(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.86/127.31
ACTIVE(dbl(quote(sel(z0, z1)))) → c17(DBL(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.86/127.31
ACTIVE(dbl(dbl(z0))) → c17(DBL(dbl(active(z0))), ACTIVE(dbl(z0)))
419.86/127.31
ACTIVE(dbl(dbls(z0))) → c17(DBL(dbls(active(z0))), ACTIVE(dbls(z0)))
419.86/127.31
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.86/127.31
ACTIVE(dbl(sel(z0, z1))) → c17(DBL(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.86/127.31
ACTIVE(dbl(indx(z0, z1))) → c17(DBL(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.86/127.31
ACTIVE(dbl(dbl1(z0))) → c17(DBL(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.86/127.31
ACTIVE(dbl(s1(z0))) → c17(DBL(s1(active(z0))), ACTIVE(s1(z0)))
419.86/127.31
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.86/127.31
ACTIVE(dbl(sel1(z0, z1))) → c17(DBL(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.86/127.31
ACTIVE(dbl(quote(z0))) → c17(DBL(quote(active(z0))), ACTIVE(quote(z0)))
419.86/127.31
ACTIVE(dbl(dbl(0))) → c17(DBL(mark(0)))
419.86/127.31
ACTIVE(dbl(dbl(s(z0)))) → c1(DBL(mark(s(s(dbl(z0))))))
419.86/127.31
ACTIVE(dbl(dbl(s(z0)))) → c1(ACTIVE(dbl(s(z0))))
419.86/127.31
ACTIVE(dbl(from(z0))) → c1(DBL(mark(cons(z0, from(s(z0))))))
419.86/127.31
ACTIVE(dbl(from(z0))) → c1(ACTIVE(from(z0)))
419.86/127.31
ACTIVE(dbls(sel(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.86/127.31
ACTIVE(dbls(sel(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.86/127.31
ACTIVE(dbls(sel1(0, cons(z0, z1)))) → c18(DBLS(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.86/127.31
ACTIVE(dbls(sel1(s(z0), cons(z1, z2)))) → c18(DBLS(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.86/127.31
ACTIVE(dbls(quote(dbl(z0)))) → c18(DBLS(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.86/127.31
ACTIVE(dbls(quote(sel(z0, z1)))) → c18(DBLS(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.86/127.31
ACTIVE(dbls(dbl(z0))) → c18(DBLS(dbl(active(z0))), ACTIVE(dbl(z0)))
419.86/127.31
ACTIVE(dbls(dbls(z0))) → c18(DBLS(dbls(active(z0))), ACTIVE(dbls(z0)))
419.86/127.31
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.86/127.31
ACTIVE(dbls(sel(z0, z1))) → c18(DBLS(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.86/127.31
ACTIVE(dbls(indx(z0, z1))) → c18(DBLS(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.86/127.31
ACTIVE(dbls(dbl1(z0))) → c18(DBLS(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.86/127.31
ACTIVE(dbls(s1(z0))) → c18(DBLS(s1(active(z0))), ACTIVE(s1(z0)))
419.86/127.31
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.86/127.31
ACTIVE(dbls(sel1(z0, z1))) → c18(DBLS(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.86/127.31
ACTIVE(dbls(quote(z0))) → c18(DBLS(quote(active(z0))), ACTIVE(quote(z0)))
419.86/127.31
ACTIVE(dbl(dbls(nil))) → c17(DBL(mark(nil)))
419.86/127.31
ACTIVE(dbls(dbl(0))) → c18(DBLS(mark(0)))
419.86/127.31
ACTIVE(dbls(dbls(nil))) → c18(DBLS(mark(nil)))
419.86/127.31
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(DBL(mark(cons(dbl(z0), dbls(z1)))))
419.86/127.31
ACTIVE(dbl(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.86/127.31
ACTIVE(dbls(dbl(s(z0)))) → c2(DBLS(mark(s(s(dbl(z0))))))
419.86/127.31
ACTIVE(dbls(dbl(s(z0)))) → c2(ACTIVE(dbl(s(z0))))
419.86/127.31
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(DBLS(mark(cons(dbl(z0), dbls(z1)))))
419.86/127.31
ACTIVE(dbls(dbls(cons(z0, z1)))) → c2(ACTIVE(dbls(cons(z0, z1))))
419.86/127.31
ACTIVE(dbls(from(z0))) → c2(DBLS(mark(cons(z0, from(s(z0))))))
419.86/127.31
ACTIVE(dbls(from(z0))) → c2(ACTIVE(from(z0)))
419.86/127.31
ACTIVE(indx(sel(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel(0, cons(z0, z1))))
419.86/127.31
ACTIVE(indx(sel(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel(z0, z2)), x1), ACTIVE(sel(s(z0), cons(z1, z2))))
419.86/127.31
ACTIVE(indx(sel1(0, cons(z0, z1)), x1)) → c21(INDX(mark(z0), x1), ACTIVE(sel1(0, cons(z0, z1))))
419.86/127.31
ACTIVE(indx(sel1(s(z0), cons(z1, z2)), x1)) → c21(INDX(mark(sel1(z0, z2)), x1), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.86/127.31
ACTIVE(indx(quote(dbl(z0)), x1)) → c21(INDX(mark(dbl1(z0)), x1), ACTIVE(quote(dbl(z0))))
419.86/127.31
ACTIVE(indx(quote(sel(z0, z1)), x1)) → c21(INDX(mark(sel1(z0, z1)), x1), ACTIVE(quote(sel(z0, z1))))
419.86/127.31
ACTIVE(indx(dbl(z0), x1)) → c21(INDX(dbl(active(z0)), x1), ACTIVE(dbl(z0)))
419.86/127.31
ACTIVE(indx(dbls(z0), x1)) → c21(INDX(dbls(active(z0)), x1), ACTIVE(dbls(z0)))
419.86/127.31
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(active(z0), z1), x1), ACTIVE(sel(z0, z1)))
419.86/127.31
ACTIVE(indx(sel(z0, z1), x1)) → c21(INDX(sel(z0, active(z1)), x1), ACTIVE(sel(z0, z1)))
419.86/127.31
ACTIVE(indx(indx(z0, z1), x1)) → c21(INDX(indx(active(z0), z1), x1), ACTIVE(indx(z0, z1)))
419.86/127.31
ACTIVE(indx(dbl1(z0), x1)) → c21(INDX(dbl1(active(z0)), x1), ACTIVE(dbl1(z0)))
419.86/127.31
ACTIVE(indx(s1(z0), x1)) → c21(INDX(s1(active(z0)), x1), ACTIVE(s1(z0)))
419.86/127.31
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(active(z0), z1), x1), ACTIVE(sel1(z0, z1)))
419.86/127.31
ACTIVE(indx(sel1(z0, z1), x1)) → c21(INDX(sel1(z0, active(z1)), x1), ACTIVE(sel1(z0, z1)))
419.86/127.31
ACTIVE(indx(quote(z0), x1)) → c21(INDX(quote(active(z0)), x1), ACTIVE(quote(z0)))
419.86/127.31
ACTIVE(dbl(indx(nil, z0))) → c17(DBL(mark(nil)))
419.86/127.31
ACTIVE(dbls(indx(nil, z0))) → c18(DBLS(mark(nil)))
419.86/127.31
ACTIVE(indx(dbl(0), x1)) → c21(INDX(mark(0), x1))
419.86/127.31
ACTIVE(indx(dbls(nil), x1)) → c21(INDX(mark(nil), x1))
419.86/127.31
ACTIVE(indx(indx(nil, z0), x1)) → c21(INDX(mark(nil), x1))
419.86/127.31
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(DBL(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.86/127.31
ACTIVE(dbl(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.86/127.31
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(DBLS(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.86/127.31
ACTIVE(dbls(indx(cons(z0, z1), z2))) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.86/127.31
ACTIVE(indx(dbl(s(z0)), x1)) → c3(INDX(mark(s(s(dbl(z0)))), x1))
419.86/127.31
ACTIVE(indx(dbl(s(z0)), x1)) → c3(ACTIVE(dbl(s(z0))))
419.86/127.31
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(INDX(mark(cons(dbl(z0), dbls(z1))), x1))
419.86/127.31
ACTIVE(indx(dbls(cons(z0, z1)), x1)) → c3(ACTIVE(dbls(cons(z0, z1))))
419.86/127.31
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(INDX(mark(cons(sel(z0, z2), indx(z1, z2))), x1))
419.86/127.31
ACTIVE(indx(indx(cons(z0, z1), z2), x1)) → c3(ACTIVE(indx(cons(z0, z1), z2)))
419.86/127.31
ACTIVE(indx(from(z0), x1)) → c3(INDX(mark(cons(z0, from(s(z0)))), x1))
419.86/127.31
ACTIVE(indx(from(z0), x1)) → c3(ACTIVE(from(z0)))
419.86/127.31
ACTIVE(dbl1(sel(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.86/127.31
ACTIVE(dbl1(sel(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.86/127.31
ACTIVE(dbl1(sel1(0, cons(z0, z1)))) → c22(DBL1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.86/127.31
ACTIVE(dbl1(sel1(s(z0), cons(z1, z2)))) → c22(DBL1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.86/127.31
ACTIVE(dbl1(quote(dbl(z0)))) → c22(DBL1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.86/127.31
ACTIVE(dbl1(quote(sel(z0, z1)))) → c22(DBL1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.86/127.31
ACTIVE(dbl1(dbl(z0))) → c22(DBL1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.86/127.31
ACTIVE(dbl1(dbls(z0))) → c22(DBL1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.86/127.31
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.86/127.31
ACTIVE(dbl1(sel(z0, z1))) → c22(DBL1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.86/127.31
ACTIVE(dbl1(indx(z0, z1))) → c22(DBL1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.86/127.31
ACTIVE(dbl1(dbl1(z0))) → c22(DBL1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.86/127.31
ACTIVE(dbl1(s1(z0))) → c22(DBL1(s1(active(z0))), ACTIVE(s1(z0)))
419.86/127.31
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.86/127.31
ACTIVE(dbl1(sel1(z0, z1))) → c22(DBL1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.86/127.31
ACTIVE(dbl1(quote(z0))) → c22(DBL1(quote(active(z0))), ACTIVE(quote(z0)))
419.86/127.31
ACTIVE(dbl(dbl1(0))) → c17(DBL(mark(01)))
419.86/127.31
ACTIVE(dbls(dbl1(0))) → c18(DBLS(mark(01)))
419.86/127.31
ACTIVE(indx(dbl1(0), x1)) → c21(INDX(mark(01), x1))
419.86/127.31
ACTIVE(dbl1(dbl(0))) → c22(DBL1(mark(0)))
419.86/127.31
ACTIVE(dbl1(dbls(nil))) → c22(DBL1(mark(nil)))
419.86/127.31
ACTIVE(dbl1(indx(nil, z0))) → c22(DBL1(mark(nil)))
419.86/127.31
ACTIVE(dbl1(dbl1(0))) → c22(DBL1(mark(01)))
419.86/127.31
ACTIVE(dbl(dbl1(s(z0)))) → c4(DBL(mark(s1(s1(dbl1(z0))))))
419.86/127.31
ACTIVE(dbl(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.86/127.31
ACTIVE(dbls(dbl1(s(z0)))) → c4(DBLS(mark(s1(s1(dbl1(z0))))))
419.86/127.31
ACTIVE(dbls(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.86/127.31
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(INDX(mark(s1(s1(dbl1(z0)))), x1))
419.86/127.31
ACTIVE(indx(dbl1(s(z0)), x1)) → c4(ACTIVE(dbl1(s(z0))))
419.86/127.31
ACTIVE(dbl1(dbl(s(z0)))) → c4(DBL1(mark(s(s(dbl(z0))))))
419.86/127.31
ACTIVE(dbl1(dbl(s(z0)))) → c4(ACTIVE(dbl(s(z0))))
419.86/127.31
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(DBL1(mark(cons(dbl(z0), dbls(z1)))))
419.86/127.31
ACTIVE(dbl1(dbls(cons(z0, z1)))) → c4(ACTIVE(dbls(cons(z0, z1))))
419.86/127.31
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(DBL1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.86/127.31
ACTIVE(dbl1(indx(cons(z0, z1), z2))) → c4(ACTIVE(indx(cons(z0, z1), z2)))
419.86/127.31
ACTIVE(dbl1(from(z0))) → c4(DBL1(mark(cons(z0, from(s(z0))))))
419.86/127.31
ACTIVE(dbl1(from(z0))) → c4(ACTIVE(from(z0)))
419.86/127.31
ACTIVE(dbl1(dbl1(s(z0)))) → c4(DBL1(mark(s1(s1(dbl1(z0))))))
419.86/127.31
ACTIVE(dbl1(dbl1(s(z0)))) → c4(ACTIVE(dbl1(s(z0))))
419.86/127.31
ACTIVE(s1(sel(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.86/127.31
ACTIVE(s1(sel(s(z0), cons(z1, z2)))) → c23(S1(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.86/127.31
ACTIVE(s1(sel1(0, cons(z0, z1)))) → c23(S1(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.86/127.31
ACTIVE(s1(sel1(s(z0), cons(z1, z2)))) → c23(S1(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.86/127.31
ACTIVE(s1(quote(dbl(z0)))) → c23(S1(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.86/127.31
ACTIVE(s1(quote(sel(z0, z1)))) → c23(S1(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.86/127.31
ACTIVE(s1(dbl(z0))) → c23(S1(dbl(active(z0))), ACTIVE(dbl(z0)))
419.86/127.31
ACTIVE(s1(dbls(z0))) → c23(S1(dbls(active(z0))), ACTIVE(dbls(z0)))
419.86/127.31
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.86/127.31
ACTIVE(s1(sel(z0, z1))) → c23(S1(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.86/127.31
ACTIVE(s1(indx(z0, z1))) → c23(S1(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.86/127.31
ACTIVE(s1(dbl1(z0))) → c23(S1(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.86/127.31
ACTIVE(s1(s1(z0))) → c23(S1(s1(active(z0))), ACTIVE(s1(z0)))
419.86/127.31
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.86/127.31
ACTIVE(s1(sel1(z0, z1))) → c23(S1(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.86/127.31
ACTIVE(s1(quote(z0))) → c23(S1(quote(active(z0))), ACTIVE(quote(z0)))
419.86/127.31
ACTIVE(s1(dbl(0))) → c23(S1(mark(0)))
419.86/127.31
ACTIVE(s1(dbls(nil))) → c23(S1(mark(nil)))
419.86/127.31
ACTIVE(s1(indx(nil, z0))) → c23(S1(mark(nil)))
419.86/127.31
ACTIVE(s1(dbl1(0))) → c23(S1(mark(01)))
419.86/127.31
ACTIVE(s1(dbl(s(z0)))) → c6(S1(mark(s(s(dbl(z0))))))
419.86/127.31
ACTIVE(s1(dbl(s(z0)))) → c6(ACTIVE(dbl(s(z0))))
419.86/127.31
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(S1(mark(cons(dbl(z0), dbls(z1)))))
419.86/127.31
ACTIVE(s1(dbls(cons(z0, z1)))) → c6(ACTIVE(dbls(cons(z0, z1))))
419.86/127.31
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(S1(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.86/127.31
ACTIVE(s1(indx(cons(z0, z1), z2))) → c6(ACTIVE(indx(cons(z0, z1), z2)))
419.86/127.31
ACTIVE(s1(from(z0))) → c6(S1(mark(cons(z0, from(s(z0))))))
419.86/127.31
ACTIVE(s1(from(z0))) → c6(ACTIVE(from(z0)))
419.86/127.31
ACTIVE(s1(dbl1(s(z0)))) → c6(S1(mark(s1(s1(dbl1(z0))))))
419.86/127.31
ACTIVE(s1(dbl1(s(z0)))) → c6(ACTIVE(dbl1(s(z0))))
419.86/127.31
ACTIVE(quote(sel(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.86/127.31
ACTIVE(quote(sel(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.86/127.31
ACTIVE(quote(sel1(0, cons(z0, z1)))) → c26(QUOTE(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.86/127.31
ACTIVE(quote(sel1(s(z0), cons(z1, z2)))) → c26(QUOTE(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.86/127.31
ACTIVE(quote(quote(dbl(z0)))) → c26(QUOTE(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.86/127.31
ACTIVE(quote(quote(sel(z0, z1)))) → c26(QUOTE(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.86/127.31
ACTIVE(quote(dbl(z0))) → c26(QUOTE(dbl(active(z0))), ACTIVE(dbl(z0)))
419.86/127.31
ACTIVE(quote(dbls(z0))) → c26(QUOTE(dbls(active(z0))), ACTIVE(dbls(z0)))
419.86/127.31
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.86/127.31
ACTIVE(quote(sel(z0, z1))) → c26(QUOTE(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.86/127.31
ACTIVE(quote(indx(z0, z1))) → c26(QUOTE(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.86/127.31
ACTIVE(quote(dbl1(z0))) → c26(QUOTE(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.86/127.31
ACTIVE(quote(s1(z0))) → c26(QUOTE(s1(active(z0))), ACTIVE(s1(z0)))
419.86/127.31
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.86/127.31
ACTIVE(quote(sel1(z0, z1))) → c26(QUOTE(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.86/127.31
ACTIVE(quote(quote(z0))) → c26(QUOTE(quote(active(z0))), ACTIVE(quote(z0)))
419.86/127.31
ACTIVE(dbl(quote(0))) → c17(DBL(mark(01)))
419.86/127.31
ACTIVE(dbls(quote(0))) → c18(DBLS(mark(01)))
419.86/127.31
ACTIVE(indx(quote(0), x1)) → c21(INDX(mark(01), x1))
419.86/127.31
ACTIVE(dbl1(quote(0))) → c22(DBL1(mark(01)))
419.86/127.31
ACTIVE(s1(quote(0))) → c23(S1(mark(01)))
419.86/127.31
ACTIVE(quote(dbl(0))) → c26(QUOTE(mark(0)))
419.86/127.31
ACTIVE(quote(dbls(nil))) → c26(QUOTE(mark(nil)))
419.86/127.31
ACTIVE(quote(indx(nil, z0))) → c26(QUOTE(mark(nil)))
419.86/127.31
ACTIVE(quote(dbl1(0))) → c26(QUOTE(mark(01)))
419.86/127.31
ACTIVE(quote(quote(0))) → c26(QUOTE(mark(01)))
419.86/127.31
ACTIVE(dbl(quote(s(z0)))) → c7(DBL(mark(s1(quote(z0)))))
419.86/127.31
ACTIVE(dbl(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.86/127.31
ACTIVE(dbls(quote(s(z0)))) → c7(DBLS(mark(s1(quote(z0)))))
419.86/127.31
ACTIVE(dbls(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.86/127.31
ACTIVE(indx(quote(s(z0)), x1)) → c7(INDX(mark(s1(quote(z0))), x1))
419.86/127.31
ACTIVE(indx(quote(s(z0)), x1)) → c7(ACTIVE(quote(s(z0))))
419.86/127.31
ACTIVE(dbl1(quote(s(z0)))) → c7(DBL1(mark(s1(quote(z0)))))
419.86/127.31
ACTIVE(dbl1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.86/127.31
ACTIVE(s1(quote(s(z0)))) → c7(S1(mark(s1(quote(z0)))))
419.86/127.31
ACTIVE(s1(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.86/127.31
ACTIVE(quote(dbl(s(z0)))) → c7(QUOTE(mark(s(s(dbl(z0))))))
419.86/127.31
ACTIVE(quote(dbl(s(z0)))) → c7(ACTIVE(dbl(s(z0))))
419.86/127.31
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(QUOTE(mark(cons(dbl(z0), dbls(z1)))))
419.86/127.31
ACTIVE(quote(dbls(cons(z0, z1)))) → c7(ACTIVE(dbls(cons(z0, z1))))
419.86/127.31
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(QUOTE(mark(cons(sel(z0, z2), indx(z1, z2)))))
419.86/127.31
ACTIVE(quote(indx(cons(z0, z1), z2))) → c7(ACTIVE(indx(cons(z0, z1), z2)))
419.86/127.31
ACTIVE(quote(from(z0))) → c7(QUOTE(mark(cons(z0, from(s(z0))))))
419.86/127.31
ACTIVE(quote(from(z0))) → c7(ACTIVE(from(z0)))
419.86/127.31
ACTIVE(quote(dbl1(s(z0)))) → c7(QUOTE(mark(s1(s1(dbl1(z0))))))
419.86/127.31
ACTIVE(quote(dbl1(s(z0)))) → c7(ACTIVE(dbl1(s(z0))))
419.86/127.31
ACTIVE(quote(quote(s(z0)))) → c7(QUOTE(mark(s1(quote(z0)))))
419.86/127.31
ACTIVE(quote(quote(s(z0)))) → c7(ACTIVE(quote(s(z0))))
419.86/127.31
PROPER(dbl(dbl(z0))) → c45(DBL(dbl(proper(z0))), PROPER(dbl(z0)))
419.86/127.31
PROPER(dbl(s(z0))) → c45(DBL(s(proper(z0))), PROPER(s(z0)))
419.86/127.31
PROPER(dbl(dbls(z0))) → c45(DBL(dbls(proper(z0))), PROPER(dbls(z0)))
419.86/127.31
PROPER(dbl(cons(z0, z1))) → c45(DBL(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.86/127.31
PROPER(dbl(sel(z0, z1))) → c45(DBL(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.86/127.31
PROPER(dbl(indx(z0, z1))) → c45(DBL(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.86/127.31
PROPER(dbl(from(z0))) → c45(DBL(from(proper(z0))), PROPER(from(z0)))
419.86/127.31
PROPER(dbl(dbl1(z0))) → c45(DBL(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.86/127.31
PROPER(dbl(s1(z0))) → c45(DBL(s1(proper(z0))), PROPER(s1(z0)))
419.86/127.31
PROPER(dbl(sel1(z0, z1))) → c45(DBL(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.86/127.31
PROPER(dbl(quote(z0))) → c45(DBL(quote(proper(z0))), PROPER(quote(z0)))
419.86/127.31
PROPER(dbl(0)) → c45(DBL(ok(0)))
419.86/127.31
PROPER(dbl(nil)) → c45(DBL(ok(nil)))
419.86/127.31
PROPER(dbl(01)) → c45(DBL(ok(01)))
419.86/127.31
PROPER(s(dbl(z0))) → c47(S(dbl(proper(z0))), PROPER(dbl(z0)))
419.86/127.31
PROPER(s(s(z0))) → c47(S(s(proper(z0))), PROPER(s(z0)))
419.86/127.31
PROPER(s(dbls(z0))) → c47(S(dbls(proper(z0))), PROPER(dbls(z0)))
419.86/127.31
PROPER(s(cons(z0, z1))) → c47(S(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.86/127.31
PROPER(s(sel(z0, z1))) → c47(S(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.86/127.31
PROPER(s(indx(z0, z1))) → c47(S(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.86/127.31
PROPER(s(from(z0))) → c47(S(from(proper(z0))), PROPER(from(z0)))
419.86/127.31
PROPER(s(dbl1(z0))) → c47(S(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.86/127.31
PROPER(s(s1(z0))) → c47(S(s1(proper(z0))), PROPER(s1(z0)))
419.86/127.31
PROPER(s(sel1(z0, z1))) → c47(S(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.86/127.31
PROPER(s(quote(z0))) → c47(S(quote(proper(z0))), PROPER(quote(z0)))
419.86/127.31
PROPER(s(0)) → c47(S(ok(0)))
419.86/127.31
PROPER(s(nil)) → c47(S(ok(nil)))
419.86/127.31
PROPER(s(01)) → c47(S(ok(01)))
419.86/127.31
PROPER(dbls(dbl(z0))) → c48(DBLS(dbl(proper(z0))), PROPER(dbl(z0)))
419.86/127.31
PROPER(dbls(s(z0))) → c48(DBLS(s(proper(z0))), PROPER(s(z0)))
419.86/127.31
PROPER(dbls(dbls(z0))) → c48(DBLS(dbls(proper(z0))), PROPER(dbls(z0)))
419.86/127.31
PROPER(dbls(cons(z0, z1))) → c48(DBLS(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.86/127.31
PROPER(dbls(sel(z0, z1))) → c48(DBLS(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.86/127.31
PROPER(dbls(indx(z0, z1))) → c48(DBLS(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.86/127.31
PROPER(dbls(from(z0))) → c48(DBLS(from(proper(z0))), PROPER(from(z0)))
419.86/127.31
PROPER(dbls(dbl1(z0))) → c48(DBLS(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.86/127.31
PROPER(dbls(s1(z0))) → c48(DBLS(s1(proper(z0))), PROPER(s1(z0)))
419.86/127.31
PROPER(dbls(sel1(z0, z1))) → c48(DBLS(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.86/127.31
PROPER(dbls(quote(z0))) → c48(DBLS(quote(proper(z0))), PROPER(quote(z0)))
419.86/127.31
PROPER(dbls(0)) → c48(DBLS(ok(0)))
419.86/127.31
PROPER(dbls(nil)) → c48(DBLS(ok(nil)))
419.86/127.31
PROPER(dbls(01)) → c48(DBLS(ok(01)))
419.86/127.31
PROPER(cons(x0, dbl(z0))) → c50(CONS(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.86/127.31
PROPER(cons(x0, s(z0))) → c50(CONS(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.86/127.31
PROPER(cons(x0, dbls(z0))) → c50(CONS(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.86/127.31
PROPER(cons(x0, cons(z0, z1))) → c50(CONS(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.86/127.31
PROPER(cons(x0, sel(z0, z1))) → c50(CONS(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.86/127.31
PROPER(cons(x0, indx(z0, z1))) → c50(CONS(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.86/127.31
PROPER(cons(x0, from(z0))) → c50(CONS(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.86/127.31
PROPER(cons(x0, dbl1(z0))) → c50(CONS(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.86/127.31
PROPER(cons(x0, s1(z0))) → c50(CONS(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.86/127.31
PROPER(cons(x0, sel1(z0, z1))) → c50(CONS(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.86/127.31
PROPER(cons(x0, quote(z0))) → c50(CONS(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.86/127.31
PROPER(cons(dbl(z0), x1)) → c50(CONS(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.86/127.31
PROPER(cons(s(z0), x1)) → c50(CONS(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.86/127.31
PROPER(cons(dbls(z0), x1)) → c50(CONS(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.86/127.31
PROPER(cons(cons(z0, z1), x1)) → c50(CONS(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.86/127.31
PROPER(cons(sel(z0, z1), x1)) → c50(CONS(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.86/127.31
PROPER(cons(indx(z0, z1), x1)) → c50(CONS(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.86/127.31
PROPER(cons(from(z0), x1)) → c50(CONS(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.86/127.31
PROPER(cons(dbl1(z0), x1)) → c50(CONS(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.86/127.31
PROPER(cons(s1(z0), x1)) → c50(CONS(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.86/127.31
PROPER(cons(sel1(z0, z1), x1)) → c50(CONS(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.86/127.31
PROPER(cons(quote(z0), x1)) → c50(CONS(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.86/127.31
PROPER(cons(x0, 0)) → c50(CONS(proper(x0), ok(0)), PROPER(x0))
419.86/127.31
PROPER(cons(x0, nil)) → c50(CONS(proper(x0), ok(nil)), PROPER(x0))
419.86/127.31
PROPER(cons(x0, 01)) → c50(CONS(proper(x0), ok(01)), PROPER(x0))
419.86/127.31
PROPER(cons(0, x1)) → c50(CONS(ok(0), proper(x1)), PROPER(x1))
419.86/127.31
PROPER(cons(nil, x1)) → c50(CONS(ok(nil), proper(x1)), PROPER(x1))
419.86/127.31
PROPER(cons(01, x1)) → c50(CONS(ok(01), proper(x1)), PROPER(x1))
419.86/127.31
PROPER(sel(x0, dbl(z0))) → c51(SEL(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.86/127.31
PROPER(sel(x0, s(z0))) → c51(SEL(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.86/127.31
PROPER(sel(x0, dbls(z0))) → c51(SEL(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.86/127.31
PROPER(sel(x0, cons(z0, z1))) → c51(SEL(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.86/127.31
PROPER(sel(x0, sel(z0, z1))) → c51(SEL(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.86/127.31
PROPER(sel(x0, indx(z0, z1))) → c51(SEL(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.86/127.31
PROPER(sel(x0, from(z0))) → c51(SEL(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.86/127.31
PROPER(sel(x0, dbl1(z0))) → c51(SEL(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.86/127.31
PROPER(sel(x0, s1(z0))) → c51(SEL(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.86/127.31
PROPER(sel(x0, sel1(z0, z1))) → c51(SEL(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.86/127.31
PROPER(sel(x0, quote(z0))) → c51(SEL(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.86/127.31
PROPER(sel(dbl(z0), x1)) → c51(SEL(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.86/127.31
PROPER(sel(s(z0), x1)) → c51(SEL(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.86/127.31
PROPER(sel(dbls(z0), x1)) → c51(SEL(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.86/127.31
PROPER(sel(cons(z0, z1), x1)) → c51(SEL(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.86/127.31
PROPER(sel(sel(z0, z1), x1)) → c51(SEL(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.86/127.31
PROPER(sel(indx(z0, z1), x1)) → c51(SEL(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.86/127.31
PROPER(sel(from(z0), x1)) → c51(SEL(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.86/127.31
PROPER(sel(dbl1(z0), x1)) → c51(SEL(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.86/127.31
PROPER(sel(s1(z0), x1)) → c51(SEL(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.86/127.31
PROPER(sel(sel1(z0, z1), x1)) → c51(SEL(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.86/127.31
PROPER(sel(quote(z0), x1)) → c51(SEL(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.86/127.31
PROPER(sel(x0, 0)) → c51(SEL(proper(x0), ok(0)), PROPER(x0))
419.86/127.31
PROPER(sel(x0, nil)) → c51(SEL(proper(x0), ok(nil)), PROPER(x0))
419.86/127.31
PROPER(sel(x0, 01)) → c51(SEL(proper(x0), ok(01)), PROPER(x0))
419.86/127.31
PROPER(sel(0, x1)) → c51(SEL(ok(0), proper(x1)), PROPER(x1))
419.86/127.31
PROPER(sel(nil, x1)) → c51(SEL(ok(nil), proper(x1)), PROPER(x1))
419.86/127.31
PROPER(sel(01, x1)) → c51(SEL(ok(01), proper(x1)), PROPER(x1))
419.86/127.31
PROPER(indx(x0, dbl(z0))) → c52(INDX(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.86/127.31
PROPER(indx(x0, s(z0))) → c52(INDX(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.86/127.31
PROPER(indx(x0, dbls(z0))) → c52(INDX(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.86/127.31
PROPER(indx(x0, cons(z0, z1))) → c52(INDX(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.86/127.31
PROPER(indx(x0, sel(z0, z1))) → c52(INDX(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.86/127.31
PROPER(indx(x0, indx(z0, z1))) → c52(INDX(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.86/127.31
PROPER(indx(x0, from(z0))) → c52(INDX(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.86/127.31
PROPER(indx(x0, dbl1(z0))) → c52(INDX(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.86/127.31
PROPER(indx(x0, s1(z0))) → c52(INDX(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.86/127.31
PROPER(indx(x0, sel1(z0, z1))) → c52(INDX(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.86/127.31
PROPER(indx(x0, quote(z0))) → c52(INDX(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.86/127.31
PROPER(indx(dbl(z0), x1)) → c52(INDX(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.86/127.31
PROPER(indx(s(z0), x1)) → c52(INDX(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.86/127.31
PROPER(indx(dbls(z0), x1)) → c52(INDX(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.86/127.31
PROPER(indx(cons(z0, z1), x1)) → c52(INDX(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.86/127.31
PROPER(indx(sel(z0, z1), x1)) → c52(INDX(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.86/127.31
PROPER(indx(indx(z0, z1), x1)) → c52(INDX(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.86/127.31
PROPER(indx(from(z0), x1)) → c52(INDX(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.86/127.31
PROPER(indx(dbl1(z0), x1)) → c52(INDX(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.86/127.31
PROPER(indx(s1(z0), x1)) → c52(INDX(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.86/127.31
PROPER(indx(sel1(z0, z1), x1)) → c52(INDX(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.86/127.31
PROPER(indx(quote(z0), x1)) → c52(INDX(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.86/127.31
PROPER(indx(x0, 0)) → c52(INDX(proper(x0), ok(0)), PROPER(x0))
419.86/127.31
PROPER(indx(x0, nil)) → c52(INDX(proper(x0), ok(nil)), PROPER(x0))
419.86/127.31
PROPER(indx(x0, 01)) → c52(INDX(proper(x0), ok(01)), PROPER(x0))
419.86/127.31
PROPER(indx(0, x1)) → c52(INDX(ok(0), proper(x1)), PROPER(x1))
419.86/127.31
PROPER(indx(nil, x1)) → c52(INDX(ok(nil), proper(x1)), PROPER(x1))
419.86/127.31
PROPER(indx(01, x1)) → c52(INDX(ok(01), proper(x1)), PROPER(x1))
419.86/127.31
PROPER(from(dbl(z0))) → c53(FROM(dbl(proper(z0))), PROPER(dbl(z0)))
419.86/127.31
PROPER(from(s(z0))) → c53(FROM(s(proper(z0))), PROPER(s(z0)))
419.86/127.31
PROPER(from(dbls(z0))) → c53(FROM(dbls(proper(z0))), PROPER(dbls(z0)))
419.86/127.31
PROPER(from(cons(z0, z1))) → c53(FROM(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.86/127.31
PROPER(from(sel(z0, z1))) → c53(FROM(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.86/127.31
PROPER(from(indx(z0, z1))) → c53(FROM(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.86/127.31
PROPER(from(from(z0))) → c53(FROM(from(proper(z0))), PROPER(from(z0)))
419.86/127.31
PROPER(from(dbl1(z0))) → c53(FROM(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.86/127.31
PROPER(from(s1(z0))) → c53(FROM(s1(proper(z0))), PROPER(s1(z0)))
419.86/127.31
PROPER(from(sel1(z0, z1))) → c53(FROM(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.86/127.31
PROPER(from(quote(z0))) → c53(FROM(quote(proper(z0))), PROPER(quote(z0)))
419.86/127.31
PROPER(from(0)) → c53(FROM(ok(0)))
419.86/127.31
PROPER(from(nil)) → c53(FROM(ok(nil)))
419.86/127.31
PROPER(from(01)) → c53(FROM(ok(01)))
419.86/127.31
PROPER(dbl1(dbl(z0))) → c54(DBL1(dbl(proper(z0))), PROPER(dbl(z0)))
419.86/127.31
PROPER(dbl1(s(z0))) → c54(DBL1(s(proper(z0))), PROPER(s(z0)))
419.86/127.31
PROPER(dbl1(dbls(z0))) → c54(DBL1(dbls(proper(z0))), PROPER(dbls(z0)))
419.86/127.31
PROPER(dbl1(cons(z0, z1))) → c54(DBL1(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.86/127.31
PROPER(dbl1(sel(z0, z1))) → c54(DBL1(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.86/127.31
PROPER(dbl1(indx(z0, z1))) → c54(DBL1(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.86/127.31
PROPER(dbl1(from(z0))) → c54(DBL1(from(proper(z0))), PROPER(from(z0)))
419.86/127.31
PROPER(dbl1(dbl1(z0))) → c54(DBL1(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.86/127.31
PROPER(dbl1(s1(z0))) → c54(DBL1(s1(proper(z0))), PROPER(s1(z0)))
419.86/127.31
PROPER(dbl1(sel1(z0, z1))) → c54(DBL1(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.86/127.31
PROPER(dbl1(quote(z0))) → c54(DBL1(quote(proper(z0))), PROPER(quote(z0)))
419.86/127.31
PROPER(dbl1(0)) → c54(DBL1(ok(0)))
419.86/127.31
PROPER(dbl1(nil)) → c54(DBL1(ok(nil)))
419.86/127.31
PROPER(dbl1(01)) → c54(DBL1(ok(01)))
419.86/127.31
PROPER(s1(dbl(z0))) → c56(S1(dbl(proper(z0))), PROPER(dbl(z0)))
419.86/127.31
PROPER(s1(s(z0))) → c56(S1(s(proper(z0))), PROPER(s(z0)))
419.86/127.31
PROPER(s1(dbls(z0))) → c56(S1(dbls(proper(z0))), PROPER(dbls(z0)))
419.86/127.31
PROPER(s1(cons(z0, z1))) → c56(S1(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.86/127.31
PROPER(s1(sel(z0, z1))) → c56(S1(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.86/127.31
PROPER(s1(indx(z0, z1))) → c56(S1(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.86/127.31
PROPER(s1(from(z0))) → c56(S1(from(proper(z0))), PROPER(from(z0)))
419.86/127.31
PROPER(s1(dbl1(z0))) → c56(S1(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.86/127.31
PROPER(s1(s1(z0))) → c56(S1(s1(proper(z0))), PROPER(s1(z0)))
419.86/127.31
PROPER(s1(sel1(z0, z1))) → c56(S1(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.86/127.31
PROPER(s1(quote(z0))) → c56(S1(quote(proper(z0))), PROPER(quote(z0)))
419.86/127.31
PROPER(s1(0)) → c56(S1(ok(0)))
419.86/127.31
PROPER(s1(nil)) → c56(S1(ok(nil)))
419.86/127.31
PROPER(s1(01)) → c56(S1(ok(01)))
419.86/127.31
PROPER(sel1(x0, dbl(z0))) → c57(SEL1(proper(x0), dbl(proper(z0))), PROPER(x0), PROPER(dbl(z0)))
419.86/127.31
PROPER(sel1(x0, s(z0))) → c57(SEL1(proper(x0), s(proper(z0))), PROPER(x0), PROPER(s(z0)))
419.86/127.31
PROPER(sel1(x0, dbls(z0))) → c57(SEL1(proper(x0), dbls(proper(z0))), PROPER(x0), PROPER(dbls(z0)))
419.86/127.31
PROPER(sel1(x0, cons(z0, z1))) → c57(SEL1(proper(x0), cons(proper(z0), proper(z1))), PROPER(x0), PROPER(cons(z0, z1)))
419.86/127.31
PROPER(sel1(x0, sel(z0, z1))) → c57(SEL1(proper(x0), sel(proper(z0), proper(z1))), PROPER(x0), PROPER(sel(z0, z1)))
419.86/127.31
PROPER(sel1(x0, indx(z0, z1))) → c57(SEL1(proper(x0), indx(proper(z0), proper(z1))), PROPER(x0), PROPER(indx(z0, z1)))
419.86/127.31
PROPER(sel1(x0, from(z0))) → c57(SEL1(proper(x0), from(proper(z0))), PROPER(x0), PROPER(from(z0)))
419.86/127.31
PROPER(sel1(x0, dbl1(z0))) → c57(SEL1(proper(x0), dbl1(proper(z0))), PROPER(x0), PROPER(dbl1(z0)))
419.86/127.31
PROPER(sel1(x0, s1(z0))) → c57(SEL1(proper(x0), s1(proper(z0))), PROPER(x0), PROPER(s1(z0)))
419.86/127.31
PROPER(sel1(x0, sel1(z0, z1))) → c57(SEL1(proper(x0), sel1(proper(z0), proper(z1))), PROPER(x0), PROPER(sel1(z0, z1)))
419.86/127.31
PROPER(sel1(x0, quote(z0))) → c57(SEL1(proper(x0), quote(proper(z0))), PROPER(x0), PROPER(quote(z0)))
419.86/127.31
PROPER(sel1(dbl(z0), x1)) → c57(SEL1(dbl(proper(z0)), proper(x1)), PROPER(dbl(z0)), PROPER(x1))
419.86/127.31
PROPER(sel1(s(z0), x1)) → c57(SEL1(s(proper(z0)), proper(x1)), PROPER(s(z0)), PROPER(x1))
419.86/127.31
PROPER(sel1(dbls(z0), x1)) → c57(SEL1(dbls(proper(z0)), proper(x1)), PROPER(dbls(z0)), PROPER(x1))
419.86/127.31
PROPER(sel1(cons(z0, z1), x1)) → c57(SEL1(cons(proper(z0), proper(z1)), proper(x1)), PROPER(cons(z0, z1)), PROPER(x1))
419.86/127.31
PROPER(sel1(sel(z0, z1), x1)) → c57(SEL1(sel(proper(z0), proper(z1)), proper(x1)), PROPER(sel(z0, z1)), PROPER(x1))
419.86/127.31
PROPER(sel1(indx(z0, z1), x1)) → c57(SEL1(indx(proper(z0), proper(z1)), proper(x1)), PROPER(indx(z0, z1)), PROPER(x1))
419.86/127.31
PROPER(sel1(from(z0), x1)) → c57(SEL1(from(proper(z0)), proper(x1)), PROPER(from(z0)), PROPER(x1))
419.86/127.31
PROPER(sel1(dbl1(z0), x1)) → c57(SEL1(dbl1(proper(z0)), proper(x1)), PROPER(dbl1(z0)), PROPER(x1))
419.86/127.31
PROPER(sel1(s1(z0), x1)) → c57(SEL1(s1(proper(z0)), proper(x1)), PROPER(s1(z0)), PROPER(x1))
419.86/127.31
PROPER(sel1(sel1(z0, z1), x1)) → c57(SEL1(sel1(proper(z0), proper(z1)), proper(x1)), PROPER(sel1(z0, z1)), PROPER(x1))
419.86/127.31
PROPER(sel1(quote(z0), x1)) → c57(SEL1(quote(proper(z0)), proper(x1)), PROPER(quote(z0)), PROPER(x1))
419.86/127.31
PROPER(sel1(x0, 0)) → c57(SEL1(proper(x0), ok(0)), PROPER(x0))
419.86/127.31
PROPER(sel1(x0, nil)) → c57(SEL1(proper(x0), ok(nil)), PROPER(x0))
419.86/127.31
PROPER(sel1(x0, 01)) → c57(SEL1(proper(x0), ok(01)), PROPER(x0))
419.86/127.31
PROPER(sel1(0, x1)) → c57(SEL1(ok(0), proper(x1)), PROPER(x1))
419.86/127.31
PROPER(sel1(nil, x1)) → c57(SEL1(ok(nil), proper(x1)), PROPER(x1))
419.86/127.31
PROPER(sel1(01, x1)) → c57(SEL1(ok(01), proper(x1)), PROPER(x1))
419.86/127.31
PROPER(quote(dbl(z0))) → c58(QUOTE(dbl(proper(z0))), PROPER(dbl(z0)))
419.86/127.31
PROPER(quote(s(z0))) → c58(QUOTE(s(proper(z0))), PROPER(s(z0)))
419.86/127.31
PROPER(quote(dbls(z0))) → c58(QUOTE(dbls(proper(z0))), PROPER(dbls(z0)))
419.86/127.31
PROPER(quote(cons(z0, z1))) → c58(QUOTE(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.86/127.31
PROPER(quote(sel(z0, z1))) → c58(QUOTE(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.86/127.31
PROPER(quote(indx(z0, z1))) → c58(QUOTE(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.86/127.31
PROPER(quote(from(z0))) → c58(QUOTE(from(proper(z0))), PROPER(from(z0)))
419.86/127.31
PROPER(quote(dbl1(z0))) → c58(QUOTE(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.86/127.31
PROPER(quote(s1(z0))) → c58(QUOTE(s1(proper(z0))), PROPER(s1(z0)))
419.86/127.31
PROPER(quote(sel1(z0, z1))) → c58(QUOTE(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.86/127.31
PROPER(quote(quote(z0))) → c58(QUOTE(quote(proper(z0))), PROPER(quote(z0)))
419.86/127.31
PROPER(quote(0)) → c58(QUOTE(ok(0)))
419.86/127.31
PROPER(quote(nil)) → c58(QUOTE(ok(nil)))
419.86/127.31
PROPER(quote(01)) → c58(QUOTE(ok(01)))
419.86/127.31
TOP(mark(dbl(z0))) → c62(TOP(dbl(proper(z0))), PROPER(dbl(z0)))
419.86/127.31
TOP(mark(s(z0))) → c62(TOP(s(proper(z0))), PROPER(s(z0)))
419.86/127.31
TOP(mark(dbls(z0))) → c62(TOP(dbls(proper(z0))), PROPER(dbls(z0)))
419.86/127.31
TOP(mark(cons(z0, z1))) → c62(TOP(cons(proper(z0), proper(z1))), PROPER(cons(z0, z1)))
419.86/127.31
TOP(mark(sel(z0, z1))) → c62(TOP(sel(proper(z0), proper(z1))), PROPER(sel(z0, z1)))
419.86/127.31
TOP(mark(indx(z0, z1))) → c62(TOP(indx(proper(z0), proper(z1))), PROPER(indx(z0, z1)))
419.86/127.31
TOP(mark(from(z0))) → c62(TOP(from(proper(z0))), PROPER(from(z0)))
419.86/127.31
TOP(mark(dbl1(z0))) → c62(TOP(dbl1(proper(z0))), PROPER(dbl1(z0)))
419.86/127.31
TOP(mark(s1(z0))) → c62(TOP(s1(proper(z0))), PROPER(s1(z0)))
419.86/127.31
TOP(mark(sel1(z0, z1))) → c62(TOP(sel1(proper(z0), proper(z1))), PROPER(sel1(z0, z1)))
419.86/127.31
TOP(mark(quote(z0))) → c62(TOP(quote(proper(z0))), PROPER(quote(z0)))
419.86/127.31
TOP(ok(dbl(0))) → c63(TOP(mark(0)), ACTIVE(dbl(0)))
419.86/127.31
TOP(ok(dbl(s(z0)))) → c63(TOP(mark(s(s(dbl(z0))))), ACTIVE(dbl(s(z0))))
419.86/127.31
TOP(ok(dbls(nil))) → c63(TOP(mark(nil)), ACTIVE(dbls(nil)))
419.86/127.31
TOP(ok(dbls(cons(z0, z1)))) → c63(TOP(mark(cons(dbl(z0), dbls(z1)))), ACTIVE(dbls(cons(z0, z1))))
419.86/127.31
TOP(ok(sel(0, cons(z0, z1)))) → c63(TOP(mark(z0)), ACTIVE(sel(0, cons(z0, z1))))
419.86/127.31
TOP(ok(sel(s(z0), cons(z1, z2)))) → c63(TOP(mark(sel(z0, z2))), ACTIVE(sel(s(z0), cons(z1, z2))))
419.86/127.31
TOP(ok(indx(nil, z0))) → c63(TOP(mark(nil)), ACTIVE(indx(nil, z0)))
419.86/127.31
TOP(ok(indx(cons(z0, z1), z2))) → c63(TOP(mark(cons(sel(z0, z2), indx(z1, z2)))), ACTIVE(indx(cons(z0, z1), z2)))
419.86/127.31
TOP(ok(from(z0))) → c63(TOP(mark(cons(z0, from(s(z0))))), ACTIVE(from(z0)))
419.86/127.31
TOP(ok(dbl1(0))) → c63(TOP(mark(01)), ACTIVE(dbl1(0)))
419.86/127.31
TOP(ok(dbl1(s(z0)))) → c63(TOP(mark(s1(s1(dbl1(z0))))), ACTIVE(dbl1(s(z0))))
419.86/127.31
TOP(ok(sel1(0, cons(z0, z1)))) → c63(TOP(mark(z0)), ACTIVE(sel1(0, cons(z0, z1))))
419.86/127.31
TOP(ok(sel1(s(z0), cons(z1, z2)))) → c63(TOP(mark(sel1(z0, z2))), ACTIVE(sel1(s(z0), cons(z1, z2))))
419.86/127.31
TOP(ok(quote(0))) → c63(TOP(mark(01)), ACTIVE(quote(0)))
419.86/127.31
TOP(ok(quote(s(z0)))) → c63(TOP(mark(s1(quote(z0)))), ACTIVE(quote(s(z0))))
419.86/127.31
TOP(ok(quote(dbl(z0)))) → c63(TOP(mark(dbl1(z0))), ACTIVE(quote(dbl(z0))))
419.86/127.31
TOP(ok(quote(sel(z0, z1)))) → c63(TOP(mark(sel1(z0, z1))), ACTIVE(quote(sel(z0, z1))))
419.86/127.31
TOP(ok(dbl(z0))) → c63(TOP(dbl(active(z0))), ACTIVE(dbl(z0)))
419.86/127.31
TOP(ok(dbls(z0))) → c63(TOP(dbls(active(z0))), ACTIVE(dbls(z0)))
419.86/127.31
TOP(ok(sel(z0, z1))) → c63(TOP(sel(active(z0), z1)), ACTIVE(sel(z0, z1)))
419.86/127.31
TOP(ok(sel(z0, z1))) → c63(TOP(sel(z0, active(z1))), ACTIVE(sel(z0, z1)))
419.86/127.31
TOP(ok(indx(z0, z1))) → c63(TOP(indx(active(z0), z1)), ACTIVE(indx(z0, z1)))
419.86/127.31
TOP(ok(dbl1(z0))) → c63(TOP(dbl1(active(z0))), ACTIVE(dbl1(z0)))
419.86/127.31
TOP(ok(s1(z0))) → c63(TOP(s1(active(z0))), ACTIVE(s1(z0)))
419.86/127.31
TOP(ok(sel1(z0, z1))) → c63(TOP(sel1(active(z0), z1)), ACTIVE(sel1(z0, z1)))
419.86/127.31
TOP(ok(sel1(z0, z1))) → c63(TOP(sel1(z0, active(z1))), ACTIVE(sel1(z0, z1)))
419.86/127.31
TOP(ok(quote(z0))) → c63(TOP(quote(active(z0))), ACTIVE(quote(z0)))
419.86/127.31
419.86/127.31
(94) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
419.86/127.31
active(dbl(s(z0))) → mark(s(s(dbl(z0))))
419.86/127.31
active(dbls(nil)) → mark(nil)
419.86/127.31
active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
419.86/127.31
active(sel(0, cons(z0, z1))) → mark(z0)
419.86/127.31
active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
419.86/127.31
active(indx(nil, z0)) → mark(nil)
419.86/127.31
active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
419.86/127.31
active(from(z0)) → mark(cons(z0, from(s(z0))))
419.86/127.31
active(dbl1(0)) → mark(01)
419.86/127.31
active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
419.86/127.31
active(sel1(0, cons(z0, z1))) → mark(z0)
419.86/127.31
active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
419.86/127.31
active(quote(0)) → mark(01)
419.86/127.31
active(quote(s(z0))) → mark(s1(quote(z0)))
419.86/127.31
active(quote(dbl(z0))) → mark(dbl1(z0))
419.86/127.31
active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
419.86/127.31
active(dbl(z0)) → dbl(active(z0))
419.86/127.31
active(dbls(z0)) → dbls(active(z0))
419.86/127.31
active(sel(z0, z1)) → sel(active(z0), z1)
419.86/127.31
active(sel(z0, z1)) → sel(z0, active(z1))
419.86/127.31
active(indx(z0, z1)) → indx(active(z0), z1)
419.86/127.31
active(dbl1(z0)) → dbl1(active(z0))
419.86/127.31
active(s1(z0)) → s1(active(z0))
419.86/127.31
active(sel1(z0, z1)) → sel1(active(z0), z1)
419.86/127.31
active(sel1(z0, z1)) → sel1(z0, active(z1))
419.86/127.31
active(quote(z0)) → quote(active(z0))
419.86/127.31
dbl(mark(z0)) → mark(dbl(z0))
419.86/127.31
dbl(ok(z0)) → ok(dbl(z0))
419.86/127.31
dbls(mark(z0)) → mark(dbls(z0))
419.86/127.31
dbls(ok(z0)) → ok(dbls(z0))
419.86/127.31
sel(mark(z0), z1) → mark(sel(z0, z1))
419.86/127.31
sel(z0, mark(z1)) → mark(sel(z0, z1))
419.86/127.31
sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
419.86/127.31
indx(mark(z0), z1) → mark(indx(z0, z1))
419.86/127.31
indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
419.86/127.31
dbl1(mark(z0)) → mark(dbl1(z0))
419.86/127.31
dbl1(ok(z0)) → ok(dbl1(z0))
419.86/127.31
s1(mark(z0)) → mark(s1(z0))
419.86/127.31
s1(ok(z0)) → ok(s1(z0))
419.86/127.31
sel1(mark(z0), z1) → mark(sel1(z0, z1))
419.86/127.31
sel1(z0, mark(z1)) → mark(sel1(z0, z1))
419.86/127.31
sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
419.86/127.31
quote(mark(z0)) → mark(quote(z0))
419.86/127.31
quote(ok(z0)) → ok(quote(z0))
419.86/127.31
proper(dbl(z0)) → dbl(proper(z0))
419.86/127.31
proper(0) → ok(0)
419.86/127.31
proper(s(z0)) → s(proper(z0))
419.86/127.31
proper(dbls(z0)) → dbls(proper(z0))
419.86/127.31
proper(nil) → ok(nil)
419.86/127.31
proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
419.86/127.31
proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
419.86/127.31
proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
419.86/127.31
proper(from(z0)) → from(proper(z0))
419.86/127.31
proper(dbl1(z0)) → dbl1(proper(z0))
419.86/127.31
proper(01) → ok(01)
419.86/127.31
proper(s1(z0)) → s1(proper(z0))
419.86/127.31
proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
419.86/127.31
proper(quote(z0)) → quote(proper(z0))
419.86/127.31
s(ok(z0)) → ok(s(z0))
419.86/127.31
cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
419.86/127.31
from(ok(z0)) → ok(from(z0))
419.86/127.31
top(mark(z0)) → top(proper(z0))
419.86/127.31
top(ok(z0)) → top(active(z0))
Tuples:
DBL(mark(z0)) → c27(DBL(z0))
419.86/127.31
DBL(ok(z0)) → c28(DBL(z0))
419.86/127.31
DBLS(mark(z0)) → c29(DBLS(z0))
419.86/127.31
DBLS(ok(z0)) → c30(DBLS(z0))
419.86/127.31
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.86/127.31
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.86/127.31
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.86/127.31
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.86/127.31
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.86/127.31
DBL1(mark(z0)) → c36(DBL1(z0))
419.86/127.31
DBL1(ok(z0)) → c37(DBL1(z0))
419.86/127.31
S1(mark(z0)) → c38(S1(z0))
419.86/127.31
S1(ok(z0)) → c39(S1(z0))
419.86/127.31
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.86/127.31
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.86/127.31
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.86/127.31
QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
419.86/127.31
S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
419.86/127.31
TOP(mark(0)) → c62(TOP(ok(0)))
419.86/127.31
TOP(mark(nil)) → c62(TOP(ok(nil)))
419.86/127.31
TOP(mark(01)) → c62(TOP(ok(01)))
S tuples:
DBL(mark(z0)) → c27(DBL(z0))
419.86/127.31
DBL(ok(z0)) → c28(DBL(z0))
419.86/127.31
DBLS(mark(z0)) → c29(DBLS(z0))
419.86/127.31
DBLS(ok(z0)) → c30(DBLS(z0))
419.86/127.31
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.86/127.31
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.86/127.31
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.86/127.31
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.86/127.31
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.86/127.31
DBL1(mark(z0)) → c36(DBL1(z0))
419.86/127.31
DBL1(ok(z0)) → c37(DBL1(z0))
419.86/127.31
S1(mark(z0)) → c38(S1(z0))
419.86/127.31
S1(ok(z0)) → c39(S1(z0))
419.86/127.31
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.86/127.31
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.86/127.31
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.86/127.31
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.86/127.31
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.86/127.31
S(ok(z0)) → c59(S(z0))
419.86/127.31
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.86/127.31
FROM(ok(z0)) → c61(FROM(z0))
419.86/127.31
TOP(mark(0)) → c62(TOP(ok(0)))
419.86/127.31
TOP(mark(nil)) → c62(TOP(ok(nil)))
419.86/127.31
TOP(mark(01)) → c62(TOP(ok(01)))
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, S, CONS, FROM, TOP
Compound Symbols:
c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c59, c60, c61, c62
419.86/127.31
419.86/127.31
(95) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID) transformation)
Removed 3 trailing tuple parts
419.86/127.31
419.86/127.31
(96) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
419.86/127.31
active(dbl(s(z0))) → mark(s(s(dbl(z0))))
419.86/127.31
active(dbls(nil)) → mark(nil)
419.86/127.31
active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
419.86/127.31
active(sel(0, cons(z0, z1))) → mark(z0)
419.86/127.31
active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
419.86/127.31
active(indx(nil, z0)) → mark(nil)
419.86/127.31
active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
419.86/127.31
active(from(z0)) → mark(cons(z0, from(s(z0))))
419.86/127.31
active(dbl1(0)) → mark(01)
419.86/127.31
active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
419.86/127.31
active(sel1(0, cons(z0, z1))) → mark(z0)
419.86/127.31
active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
419.86/127.31
active(quote(0)) → mark(01)
419.86/127.31
active(quote(s(z0))) → mark(s1(quote(z0)))
419.86/127.31
active(quote(dbl(z0))) → mark(dbl1(z0))
419.86/127.31
active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
419.86/127.31
active(dbl(z0)) → dbl(active(z0))
419.86/127.31
active(dbls(z0)) → dbls(active(z0))
419.86/127.31
active(sel(z0, z1)) → sel(active(z0), z1)
419.86/127.31
active(sel(z0, z1)) → sel(z0, active(z1))
419.86/127.31
active(indx(z0, z1)) → indx(active(z0), z1)
419.86/127.31
active(dbl1(z0)) → dbl1(active(z0))
419.86/127.31
active(s1(z0)) → s1(active(z0))
419.86/127.31
active(sel1(z0, z1)) → sel1(active(z0), z1)
419.86/127.31
active(sel1(z0, z1)) → sel1(z0, active(z1))
419.86/127.31
active(quote(z0)) → quote(active(z0))
419.86/127.31
dbl(mark(z0)) → mark(dbl(z0))
419.86/127.31
dbl(ok(z0)) → ok(dbl(z0))
419.86/127.31
dbls(mark(z0)) → mark(dbls(z0))
419.86/127.31
dbls(ok(z0)) → ok(dbls(z0))
419.86/127.31
sel(mark(z0), z1) → mark(sel(z0, z1))
419.86/127.31
sel(z0, mark(z1)) → mark(sel(z0, z1))
419.86/127.31
sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
419.86/127.31
indx(mark(z0), z1) → mark(indx(z0, z1))
419.86/127.31
indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
419.86/127.31
dbl1(mark(z0)) → mark(dbl1(z0))
419.86/127.31
dbl1(ok(z0)) → ok(dbl1(z0))
419.86/127.31
s1(mark(z0)) → mark(s1(z0))
419.86/127.31
s1(ok(z0)) → ok(s1(z0))
419.86/127.31
sel1(mark(z0), z1) → mark(sel1(z0, z1))
419.86/127.31
sel1(z0, mark(z1)) → mark(sel1(z0, z1))
419.86/127.31
sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
419.86/127.31
quote(mark(z0)) → mark(quote(z0))
419.86/127.31
quote(ok(z0)) → ok(quote(z0))
419.86/127.31
proper(dbl(z0)) → dbl(proper(z0))
419.86/127.31
proper(0) → ok(0)
419.86/127.31
proper(s(z0)) → s(proper(z0))
419.86/127.31
proper(dbls(z0)) → dbls(proper(z0))
419.86/127.31
proper(nil) → ok(nil)
419.86/127.31
proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
419.86/127.31
proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
419.86/127.31
proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
419.86/127.31
proper(from(z0)) → from(proper(z0))
419.86/127.31
proper(dbl1(z0)) → dbl1(proper(z0))
419.86/127.31
proper(01) → ok(01)
419.86/127.31
proper(s1(z0)) → s1(proper(z0))
419.86/127.31
proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
419.86/127.31
proper(quote(z0)) → quote(proper(z0))
419.86/127.31
s(ok(z0)) → ok(s(z0))
419.86/127.31
cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
419.86/127.31
from(ok(z0)) → ok(from(z0))
419.86/127.31
top(mark(z0)) → top(proper(z0))
419.86/127.31
top(ok(z0)) → top(active(z0))
Tuples:
DBL(mark(z0)) → c27(DBL(z0))
419.86/127.31
DBL(ok(z0)) → c28(DBL(z0))
419.86/127.31
DBLS(mark(z0)) → c29(DBLS(z0))
419.86/127.31
DBLS(ok(z0)) → c30(DBLS(z0))
419.86/127.31
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.86/127.31
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.86/127.31
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.86/127.31
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.86/127.31
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.86/127.31
DBL1(mark(z0)) → c36(DBL1(z0))
419.86/127.31
DBL1(ok(z0)) → c37(DBL1(z0))
419.86/127.31
S1(mark(z0)) → c38(S1(z0))
419.86/127.31
S1(ok(z0)) → c39(S1(z0))
419.86/127.31
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.86/127.31
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.86/127.31
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.86/127.31
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.86/127.31
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.86/127.31
S(ok(z0)) → c59(S(z0))
419.86/127.31
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.86/127.31
FROM(ok(z0)) → c61(FROM(z0))
419.86/127.31
TOP(mark(0)) → c62
419.86/127.31
TOP(mark(nil)) → c62
419.86/127.31
TOP(mark(01)) → c62
S tuples:
DBL(mark(z0)) → c27(DBL(z0))
419.86/127.31
DBL(ok(z0)) → c28(DBL(z0))
419.86/127.31
DBLS(mark(z0)) → c29(DBLS(z0))
419.86/127.31
DBLS(ok(z0)) → c30(DBLS(z0))
419.86/127.31
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.86/127.31
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.86/127.31
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.86/127.31
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.86/127.31
DBL1(mark(z0)) → c36(DBL1(z0))
419.86/127.31
DBL1(ok(z0)) → c37(DBL1(z0))
419.86/127.31
S1(mark(z0)) → c38(S1(z0))
419.86/127.31
S1(ok(z0)) → c39(S1(z0))
419.86/127.31
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.86/127.31
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.86/127.31
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.86/127.31
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.86/127.31
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.86/127.31
S(ok(z0)) → c59(S(z0))
419.86/127.31
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.86/127.31
FROM(ok(z0)) → c61(FROM(z0))
419.86/127.31
TOP(mark(0)) → c62
419.86/127.31
TOP(mark(nil)) → c62
419.86/127.31
TOP(mark(01)) → c62
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, S, CONS, FROM, TOP
Compound Symbols:
c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c59, c60, c61, c62
419.86/127.31
419.86/127.31
(97) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID) transformation)
Removed 3 trailing nodes:
TOP(mark(01)) → c62
419.86/127.31
TOP(mark(nil)) → c62
419.86/127.31
TOP(mark(0)) → c62
419.86/127.31
419.86/127.31
(98) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
419.86/127.31
active(dbl(s(z0))) → mark(s(s(dbl(z0))))
419.86/127.31
active(dbls(nil)) → mark(nil)
419.86/127.31
active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
419.86/127.31
active(sel(0, cons(z0, z1))) → mark(z0)
419.86/127.31
active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
419.86/127.31
active(indx(nil, z0)) → mark(nil)
419.86/127.31
active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
419.86/127.31
active(from(z0)) → mark(cons(z0, from(s(z0))))
419.86/127.31
active(dbl1(0)) → mark(01)
419.86/127.31
active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
419.86/127.31
active(sel1(0, cons(z0, z1))) → mark(z0)
419.86/127.31
active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
419.86/127.31
active(quote(0)) → mark(01)
419.86/127.31
active(quote(s(z0))) → mark(s1(quote(z0)))
419.86/127.31
active(quote(dbl(z0))) → mark(dbl1(z0))
419.86/127.31
active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
419.86/127.31
active(dbl(z0)) → dbl(active(z0))
419.86/127.31
active(dbls(z0)) → dbls(active(z0))
419.86/127.31
active(sel(z0, z1)) → sel(active(z0), z1)
419.86/127.31
active(sel(z0, z1)) → sel(z0, active(z1))
419.86/127.31
active(indx(z0, z1)) → indx(active(z0), z1)
419.86/127.31
active(dbl1(z0)) → dbl1(active(z0))
419.86/127.31
active(s1(z0)) → s1(active(z0))
419.86/127.31
active(sel1(z0, z1)) → sel1(active(z0), z1)
419.86/127.31
active(sel1(z0, z1)) → sel1(z0, active(z1))
419.86/127.31
active(quote(z0)) → quote(active(z0))
419.86/127.31
dbl(mark(z0)) → mark(dbl(z0))
419.86/127.31
dbl(ok(z0)) → ok(dbl(z0))
419.86/127.31
dbls(mark(z0)) → mark(dbls(z0))
419.86/127.31
dbls(ok(z0)) → ok(dbls(z0))
419.86/127.31
sel(mark(z0), z1) → mark(sel(z0, z1))
419.86/127.31
sel(z0, mark(z1)) → mark(sel(z0, z1))
419.86/127.31
sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
419.86/127.31
indx(mark(z0), z1) → mark(indx(z0, z1))
419.86/127.31
indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
419.86/127.31
dbl1(mark(z0)) → mark(dbl1(z0))
419.86/127.31
dbl1(ok(z0)) → ok(dbl1(z0))
419.86/127.31
s1(mark(z0)) → mark(s1(z0))
419.86/127.31
s1(ok(z0)) → ok(s1(z0))
419.86/127.31
sel1(mark(z0), z1) → mark(sel1(z0, z1))
419.86/127.31
sel1(z0, mark(z1)) → mark(sel1(z0, z1))
419.86/127.31
sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
419.86/127.31
quote(mark(z0)) → mark(quote(z0))
419.86/127.31
quote(ok(z0)) → ok(quote(z0))
419.86/127.31
proper(dbl(z0)) → dbl(proper(z0))
419.86/127.31
proper(0) → ok(0)
419.86/127.31
proper(s(z0)) → s(proper(z0))
419.86/127.31
proper(dbls(z0)) → dbls(proper(z0))
419.86/127.31
proper(nil) → ok(nil)
419.86/127.31
proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
419.86/127.31
proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
419.86/127.31
proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
419.86/127.31
proper(from(z0)) → from(proper(z0))
419.86/127.31
proper(dbl1(z0)) → dbl1(proper(z0))
419.86/127.31
proper(01) → ok(01)
419.86/127.31
proper(s1(z0)) → s1(proper(z0))
419.86/127.31
proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
419.86/127.31
proper(quote(z0)) → quote(proper(z0))
419.86/127.31
s(ok(z0)) → ok(s(z0))
419.86/127.31
cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
419.86/127.31
from(ok(z0)) → ok(from(z0))
419.86/127.31
top(mark(z0)) → top(proper(z0))
419.86/127.31
top(ok(z0)) → top(active(z0))
Tuples:
DBL(mark(z0)) → c27(DBL(z0))
419.86/127.31
DBL(ok(z0)) → c28(DBL(z0))
419.86/127.31
DBLS(mark(z0)) → c29(DBLS(z0))
419.86/127.31
DBLS(ok(z0)) → c30(DBLS(z0))
419.86/127.31
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.86/127.31
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.86/127.31
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.86/127.31
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.86/127.31
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.86/127.31
DBL1(mark(z0)) → c36(DBL1(z0))
419.86/127.31
DBL1(ok(z0)) → c37(DBL1(z0))
419.86/127.31
S1(mark(z0)) → c38(S1(z0))
419.86/127.31
S1(ok(z0)) → c39(S1(z0))
419.86/127.31
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.86/127.31
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.86/127.31
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.86/127.31
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.86/127.31
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.86/127.31
S(ok(z0)) → c59(S(z0))
419.86/127.31
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.86/127.31
FROM(ok(z0)) → c61(FROM(z0))
S tuples:
DBL(mark(z0)) → c27(DBL(z0))
419.86/127.31
DBL(ok(z0)) → c28(DBL(z0))
419.86/127.31
DBLS(mark(z0)) → c29(DBLS(z0))
419.86/127.31
DBLS(ok(z0)) → c30(DBLS(z0))
419.86/127.31
SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.86/127.31
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
419.86/127.31
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
419.86/127.31
INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.86/127.31
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.86/127.31
DBL1(mark(z0)) → c36(DBL1(z0))
419.86/127.31
DBL1(ok(z0)) → c37(DBL1(z0))
419.86/127.31
S1(mark(z0)) → c38(S1(z0))
419.86/127.31
S1(ok(z0)) → c39(S1(z0))
419.86/127.31
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.86/127.31
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.86/127.31
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.86/127.31
QUOTE(mark(z0)) → c43(QUOTE(z0))
419.86/127.31
QUOTE(ok(z0)) → c44(QUOTE(z0))
419.86/127.31
S(ok(z0)) → c59(S(z0))
419.86/127.31
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
419.86/127.31
FROM(ok(z0)) → c61(FROM(z0))
K tuples:none
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, S, CONS, FROM
Compound Symbols:
c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c59, c60, c61
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(99) CdtPolyRedPairProof (UPPER BOUND (ADD(O(n^1))) transformation)
Found a reduction pair which oriented the following tuples strictly. Hence they can be removed from S.
DBL1(ok(z0)) → c37(DBL1(z0))
We considered the (Usable) Rules:none
And the Tuples:
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
The order we found is given by the following interpretation:
Polynomial interpretation :
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POL(CONS(x1, x2)) = 0
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POL(DBL(x1)) = 0
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POL(DBL1(x1)) = x1
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POL(DBLS(x1)) = 0
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POL(FROM(x1)) = 0
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POL(INDX(x1, x2)) = 0
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POL(QUOTE(x1)) = 0
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POL(S(x1)) = 0
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POL(S1(x1)) = 0
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POL(SEL(x1, x2)) = 0
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POL(SEL1(x1, x2)) = 0
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POL(c27(x1)) = x1
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POL(c28(x1)) = x1
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POL(c29(x1)) = x1
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POL(c30(x1)) = x1
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POL(c31(x1)) = x1
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POL(c32(x1)) = x1
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POL(c33(x1)) = x1
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POL(c34(x1)) = x1
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POL(c35(x1)) = x1
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POL(c36(x1)) = x1
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POL(c37(x1)) = x1
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POL(c38(x1)) = x1
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POL(c39(x1)) = x1
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POL(c40(x1)) = x1
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POL(c41(x1)) = x1
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POL(c42(x1)) = x1
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POL(c43(x1)) = x1
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POL(c44(x1)) = x1
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POL(c59(x1)) = x1
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POL(c60(x1)) = x1
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POL(c61(x1)) = x1
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POL(mark(x1)) = x1
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POL(ok(x1)) = [1] + x1
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(100) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
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active(dbl(s(z0))) → mark(s(s(dbl(z0))))
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active(dbls(nil)) → mark(nil)
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active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
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active(sel(0, cons(z0, z1))) → mark(z0)
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active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
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active(indx(nil, z0)) → mark(nil)
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active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
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active(from(z0)) → mark(cons(z0, from(s(z0))))
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active(dbl1(0)) → mark(01)
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active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
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active(sel1(0, cons(z0, z1))) → mark(z0)
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active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
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active(quote(0)) → mark(01)
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active(quote(s(z0))) → mark(s1(quote(z0)))
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active(quote(dbl(z0))) → mark(dbl1(z0))
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active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
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active(dbl(z0)) → dbl(active(z0))
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active(dbls(z0)) → dbls(active(z0))
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active(sel(z0, z1)) → sel(active(z0), z1)
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active(sel(z0, z1)) → sel(z0, active(z1))
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active(indx(z0, z1)) → indx(active(z0), z1)
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active(dbl1(z0)) → dbl1(active(z0))
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active(s1(z0)) → s1(active(z0))
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active(sel1(z0, z1)) → sel1(active(z0), z1)
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active(sel1(z0, z1)) → sel1(z0, active(z1))
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active(quote(z0)) → quote(active(z0))
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dbl(mark(z0)) → mark(dbl(z0))
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dbl(ok(z0)) → ok(dbl(z0))
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dbls(mark(z0)) → mark(dbls(z0))
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dbls(ok(z0)) → ok(dbls(z0))
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sel(mark(z0), z1) → mark(sel(z0, z1))
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sel(z0, mark(z1)) → mark(sel(z0, z1))
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sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
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indx(mark(z0), z1) → mark(indx(z0, z1))
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indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
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dbl1(mark(z0)) → mark(dbl1(z0))
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dbl1(ok(z0)) → ok(dbl1(z0))
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s1(mark(z0)) → mark(s1(z0))
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s1(ok(z0)) → ok(s1(z0))
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sel1(mark(z0), z1) → mark(sel1(z0, z1))
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sel1(z0, mark(z1)) → mark(sel1(z0, z1))
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sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
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quote(mark(z0)) → mark(quote(z0))
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quote(ok(z0)) → ok(quote(z0))
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proper(dbl(z0)) → dbl(proper(z0))
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proper(0) → ok(0)
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proper(s(z0)) → s(proper(z0))
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proper(dbls(z0)) → dbls(proper(z0))
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proper(nil) → ok(nil)
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proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
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proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
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proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
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proper(from(z0)) → from(proper(z0))
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proper(dbl1(z0)) → dbl1(proper(z0))
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proper(01) → ok(01)
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proper(s1(z0)) → s1(proper(z0))
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proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
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proper(quote(z0)) → quote(proper(z0))
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s(ok(z0)) → ok(s(z0))
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cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
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from(ok(z0)) → ok(from(z0))
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top(mark(z0)) → top(proper(z0))
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top(ok(z0)) → top(active(z0))
Tuples:
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
S tuples:
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
K tuples:
DBL1(ok(z0)) → c37(DBL1(z0))
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, S, CONS, FROM
Compound Symbols:
c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c59, c60, c61
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(101) CdtPolyRedPairProof (UPPER BOUND (ADD(O(n^1))) transformation)
Found a reduction pair which oriented the following tuples strictly. Hence they can be removed from S.
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
We considered the (Usable) Rules:none
And the Tuples:
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
The order we found is given by the following interpretation:
Polynomial interpretation :
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POL(CONS(x1, x2)) = 0
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POL(DBL(x1)) = 0
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POL(DBL1(x1)) = 0
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POL(DBLS(x1)) = 0
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POL(FROM(x1)) = 0
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POL(INDX(x1, x2)) = x2
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POL(QUOTE(x1)) = 0
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POL(S(x1)) = 0
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POL(S1(x1)) = 0
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POL(SEL(x1, x2)) = 0
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POL(SEL1(x1, x2)) = 0
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POL(c27(x1)) = x1
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POL(c28(x1)) = x1
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POL(c29(x1)) = x1
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POL(c30(x1)) = x1
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POL(c31(x1)) = x1
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POL(c32(x1)) = x1
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POL(c33(x1)) = x1
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POL(c34(x1)) = x1
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POL(c35(x1)) = x1
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POL(c36(x1)) = x1
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POL(c37(x1)) = x1
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POL(c38(x1)) = x1
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POL(c39(x1)) = x1
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POL(c40(x1)) = x1
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POL(c41(x1)) = x1
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POL(c42(x1)) = x1
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POL(c43(x1)) = x1
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POL(c44(x1)) = x1
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POL(c59(x1)) = x1
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POL(c60(x1)) = x1
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POL(c61(x1)) = x1
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POL(mark(x1)) = x1
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POL(ok(x1)) = [2] + x1
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(102) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
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active(dbl(s(z0))) → mark(s(s(dbl(z0))))
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active(dbls(nil)) → mark(nil)
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active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
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active(sel(0, cons(z0, z1))) → mark(z0)
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active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
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active(indx(nil, z0)) → mark(nil)
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active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
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active(from(z0)) → mark(cons(z0, from(s(z0))))
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active(dbl1(0)) → mark(01)
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active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
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active(sel1(0, cons(z0, z1))) → mark(z0)
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active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
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active(quote(0)) → mark(01)
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active(quote(s(z0))) → mark(s1(quote(z0)))
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active(quote(dbl(z0))) → mark(dbl1(z0))
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active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
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active(dbl(z0)) → dbl(active(z0))
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active(dbls(z0)) → dbls(active(z0))
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active(sel(z0, z1)) → sel(active(z0), z1)
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active(sel(z0, z1)) → sel(z0, active(z1))
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active(indx(z0, z1)) → indx(active(z0), z1)
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active(dbl1(z0)) → dbl1(active(z0))
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active(s1(z0)) → s1(active(z0))
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active(sel1(z0, z1)) → sel1(active(z0), z1)
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active(sel1(z0, z1)) → sel1(z0, active(z1))
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active(quote(z0)) → quote(active(z0))
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dbl(mark(z0)) → mark(dbl(z0))
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dbl(ok(z0)) → ok(dbl(z0))
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dbls(mark(z0)) → mark(dbls(z0))
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dbls(ok(z0)) → ok(dbls(z0))
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sel(mark(z0), z1) → mark(sel(z0, z1))
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sel(z0, mark(z1)) → mark(sel(z0, z1))
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sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
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indx(mark(z0), z1) → mark(indx(z0, z1))
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indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
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dbl1(mark(z0)) → mark(dbl1(z0))
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dbl1(ok(z0)) → ok(dbl1(z0))
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s1(mark(z0)) → mark(s1(z0))
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s1(ok(z0)) → ok(s1(z0))
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sel1(mark(z0), z1) → mark(sel1(z0, z1))
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sel1(z0, mark(z1)) → mark(sel1(z0, z1))
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sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
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quote(mark(z0)) → mark(quote(z0))
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quote(ok(z0)) → ok(quote(z0))
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proper(dbl(z0)) → dbl(proper(z0))
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proper(0) → ok(0)
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proper(s(z0)) → s(proper(z0))
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proper(dbls(z0)) → dbls(proper(z0))
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proper(nil) → ok(nil)
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proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
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proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
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proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
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proper(from(z0)) → from(proper(z0))
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proper(dbl1(z0)) → dbl1(proper(z0))
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proper(01) → ok(01)
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proper(s1(z0)) → s1(proper(z0))
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proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
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proper(quote(z0)) → quote(proper(z0))
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s(ok(z0)) → ok(s(z0))
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cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
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from(ok(z0)) → ok(from(z0))
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top(mark(z0)) → top(proper(z0))
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top(ok(z0)) → top(active(z0))
Tuples:
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
S tuples:
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
K tuples:
DBL1(ok(z0)) → c37(DBL1(z0))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, S, CONS, FROM
Compound Symbols:
c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c59, c60, c61
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(103) CdtPolyRedPairProof (UPPER BOUND (ADD(O(n^1))) transformation)
Found a reduction pair which oriented the following tuples strictly. Hence they can be removed from S.
SEL(mark(z0), z1) → c31(SEL(z0, z1))
We considered the (Usable) Rules:none
And the Tuples:
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
The order we found is given by the following interpretation:
Polynomial interpretation :
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POL(CONS(x1, x2)) = 0
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POL(DBL(x1)) = 0
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POL(DBL1(x1)) = 0
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POL(DBLS(x1)) = 0
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POL(FROM(x1)) = 0
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POL(INDX(x1, x2)) = [5]x2
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POL(QUOTE(x1)) = 0
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POL(S(x1)) = 0
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POL(S1(x1)) = 0
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POL(SEL(x1, x2)) = x1
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POL(SEL1(x1, x2)) = 0
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POL(c27(x1)) = x1
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POL(c28(x1)) = x1
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POL(c29(x1)) = x1
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POL(c30(x1)) = x1
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POL(c31(x1)) = x1
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POL(c32(x1)) = x1
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POL(c33(x1)) = x1
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POL(c34(x1)) = x1
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POL(c35(x1)) = x1
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POL(c36(x1)) = x1
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POL(c37(x1)) = x1
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POL(c38(x1)) = x1
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POL(c39(x1)) = x1
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POL(c40(x1)) = x1
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POL(c41(x1)) = x1
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POL(c42(x1)) = x1
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POL(c43(x1)) = x1
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POL(c44(x1)) = x1
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POL(c59(x1)) = x1
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POL(c60(x1)) = x1
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POL(c61(x1)) = x1
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POL(mark(x1)) = [1] + x1
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POL(ok(x1)) = x1
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(104) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
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active(dbl(s(z0))) → mark(s(s(dbl(z0))))
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active(dbls(nil)) → mark(nil)
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active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
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active(sel(0, cons(z0, z1))) → mark(z0)
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active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
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active(indx(nil, z0)) → mark(nil)
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active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
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active(from(z0)) → mark(cons(z0, from(s(z0))))
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active(dbl1(0)) → mark(01)
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active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
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active(sel1(0, cons(z0, z1))) → mark(z0)
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active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
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active(quote(0)) → mark(01)
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active(quote(s(z0))) → mark(s1(quote(z0)))
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active(quote(dbl(z0))) → mark(dbl1(z0))
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active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
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active(dbl(z0)) → dbl(active(z0))
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active(dbls(z0)) → dbls(active(z0))
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active(sel(z0, z1)) → sel(active(z0), z1)
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active(sel(z0, z1)) → sel(z0, active(z1))
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active(indx(z0, z1)) → indx(active(z0), z1)
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active(dbl1(z0)) → dbl1(active(z0))
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active(s1(z0)) → s1(active(z0))
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active(sel1(z0, z1)) → sel1(active(z0), z1)
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active(sel1(z0, z1)) → sel1(z0, active(z1))
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active(quote(z0)) → quote(active(z0))
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dbl(mark(z0)) → mark(dbl(z0))
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dbl(ok(z0)) → ok(dbl(z0))
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dbls(mark(z0)) → mark(dbls(z0))
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dbls(ok(z0)) → ok(dbls(z0))
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sel(mark(z0), z1) → mark(sel(z0, z1))
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sel(z0, mark(z1)) → mark(sel(z0, z1))
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sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
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indx(mark(z0), z1) → mark(indx(z0, z1))
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indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
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dbl1(mark(z0)) → mark(dbl1(z0))
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dbl1(ok(z0)) → ok(dbl1(z0))
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s1(mark(z0)) → mark(s1(z0))
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s1(ok(z0)) → ok(s1(z0))
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sel1(mark(z0), z1) → mark(sel1(z0, z1))
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sel1(z0, mark(z1)) → mark(sel1(z0, z1))
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sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
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quote(mark(z0)) → mark(quote(z0))
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quote(ok(z0)) → ok(quote(z0))
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proper(dbl(z0)) → dbl(proper(z0))
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proper(0) → ok(0)
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proper(s(z0)) → s(proper(z0))
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proper(dbls(z0)) → dbls(proper(z0))
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proper(nil) → ok(nil)
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proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
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proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
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proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
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proper(from(z0)) → from(proper(z0))
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proper(dbl1(z0)) → dbl1(proper(z0))
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proper(01) → ok(01)
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proper(s1(z0)) → s1(proper(z0))
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proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
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proper(quote(z0)) → quote(proper(z0))
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s(ok(z0)) → ok(s(z0))
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cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
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from(ok(z0)) → ok(from(z0))
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top(mark(z0)) → top(proper(z0))
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top(ok(z0)) → top(active(z0))
Tuples:
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
S tuples:
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
K tuples:
DBL1(ok(z0)) → c37(DBL1(z0))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, S, CONS, FROM
Compound Symbols:
c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c59, c60, c61
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(105) CdtPolyRedPairProof (UPPER BOUND (ADD(O(n^1))) transformation)
Found a reduction pair which oriented the following tuples strictly. Hence they can be removed from S.
INDX(mark(z0), z1) → c34(INDX(z0, z1))
We considered the (Usable) Rules:none
And the Tuples:
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
The order we found is given by the following interpretation:
Polynomial interpretation :
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POL(CONS(x1, x2)) = 0
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POL(DBL(x1)) = 0
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POL(DBL1(x1)) = 0
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POL(DBLS(x1)) = 0
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POL(FROM(x1)) = 0
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POL(INDX(x1, x2)) = [4]x1 + [3]x2
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POL(QUOTE(x1)) = 0
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POL(S(x1)) = 0
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POL(S1(x1)) = 0
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POL(SEL(x1, x2)) = 0
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POL(SEL1(x1, x2)) = 0
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POL(c27(x1)) = x1
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POL(c28(x1)) = x1
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POL(c29(x1)) = x1
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POL(c30(x1)) = x1
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POL(c31(x1)) = x1
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POL(c32(x1)) = x1
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POL(c33(x1)) = x1
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POL(c34(x1)) = x1
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POL(c35(x1)) = x1
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POL(c36(x1)) = x1
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POL(c37(x1)) = x1
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POL(c38(x1)) = x1
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POL(c39(x1)) = x1
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POL(c40(x1)) = x1
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POL(c41(x1)) = x1
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POL(c42(x1)) = x1
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POL(c43(x1)) = x1
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POL(c44(x1)) = x1
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POL(c59(x1)) = x1
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POL(c60(x1)) = x1
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POL(c61(x1)) = x1
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POL(mark(x1)) = [4] + x1
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POL(ok(x1)) = x1
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(106) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
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active(dbl(s(z0))) → mark(s(s(dbl(z0))))
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active(dbls(nil)) → mark(nil)
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active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
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active(sel(0, cons(z0, z1))) → mark(z0)
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active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
419.86/127.32
active(indx(nil, z0)) → mark(nil)
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active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
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active(from(z0)) → mark(cons(z0, from(s(z0))))
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active(dbl1(0)) → mark(01)
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active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
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active(sel1(0, cons(z0, z1))) → mark(z0)
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active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
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active(quote(0)) → mark(01)
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active(quote(s(z0))) → mark(s1(quote(z0)))
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active(quote(dbl(z0))) → mark(dbl1(z0))
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active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
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active(dbl(z0)) → dbl(active(z0))
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active(dbls(z0)) → dbls(active(z0))
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active(sel(z0, z1)) → sel(active(z0), z1)
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active(sel(z0, z1)) → sel(z0, active(z1))
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active(indx(z0, z1)) → indx(active(z0), z1)
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active(dbl1(z0)) → dbl1(active(z0))
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active(s1(z0)) → s1(active(z0))
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active(sel1(z0, z1)) → sel1(active(z0), z1)
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active(sel1(z0, z1)) → sel1(z0, active(z1))
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active(quote(z0)) → quote(active(z0))
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dbl(mark(z0)) → mark(dbl(z0))
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dbl(ok(z0)) → ok(dbl(z0))
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dbls(mark(z0)) → mark(dbls(z0))
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dbls(ok(z0)) → ok(dbls(z0))
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sel(mark(z0), z1) → mark(sel(z0, z1))
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sel(z0, mark(z1)) → mark(sel(z0, z1))
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sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
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indx(mark(z0), z1) → mark(indx(z0, z1))
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indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
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dbl1(mark(z0)) → mark(dbl1(z0))
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dbl1(ok(z0)) → ok(dbl1(z0))
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s1(mark(z0)) → mark(s1(z0))
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s1(ok(z0)) → ok(s1(z0))
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sel1(mark(z0), z1) → mark(sel1(z0, z1))
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sel1(z0, mark(z1)) → mark(sel1(z0, z1))
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sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
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quote(mark(z0)) → mark(quote(z0))
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quote(ok(z0)) → ok(quote(z0))
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proper(dbl(z0)) → dbl(proper(z0))
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proper(0) → ok(0)
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proper(s(z0)) → s(proper(z0))
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proper(dbls(z0)) → dbls(proper(z0))
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proper(nil) → ok(nil)
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proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
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proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
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proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
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proper(from(z0)) → from(proper(z0))
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proper(dbl1(z0)) → dbl1(proper(z0))
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proper(01) → ok(01)
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proper(s1(z0)) → s1(proper(z0))
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proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
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proper(quote(z0)) → quote(proper(z0))
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s(ok(z0)) → ok(s(z0))
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cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
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from(ok(z0)) → ok(from(z0))
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top(mark(z0)) → top(proper(z0))
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top(ok(z0)) → top(active(z0))
Tuples:
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
S tuples:
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
K tuples:
DBL1(ok(z0)) → c37(DBL1(z0))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, S, CONS, FROM
Compound Symbols:
c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c59, c60, c61
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(107) CdtPolyRedPairProof (UPPER BOUND (ADD(O(n^1))) transformation)
Found a reduction pair which oriented the following tuples strictly. Hence they can be removed from S.
S(ok(z0)) → c59(S(z0))
We considered the (Usable) Rules:none
And the Tuples:
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
The order we found is given by the following interpretation:
Polynomial interpretation :
419.86/127.32
POL(CONS(x1, x2)) = 0
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POL(DBL(x1)) = 0
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POL(DBL1(x1)) = 0
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POL(DBLS(x1)) = 0
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POL(FROM(x1)) = 0
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POL(INDX(x1, x2)) = [3]x2
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POL(QUOTE(x1)) = 0
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POL(S(x1)) = x1
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POL(S1(x1)) = 0
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POL(SEL(x1, x2)) = 0
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POL(SEL1(x1, x2)) = 0
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POL(c27(x1)) = x1
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POL(c28(x1)) = x1
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POL(c29(x1)) = x1
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POL(c30(x1)) = x1
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POL(c31(x1)) = x1
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POL(c32(x1)) = x1
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POL(c33(x1)) = x1
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POL(c34(x1)) = x1
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POL(c35(x1)) = x1
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POL(c36(x1)) = x1
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POL(c37(x1)) = x1
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POL(c38(x1)) = x1
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POL(c39(x1)) = x1
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POL(c40(x1)) = x1
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POL(c41(x1)) = x1
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POL(c42(x1)) = x1
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POL(c43(x1)) = x1
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POL(c44(x1)) = x1
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POL(c59(x1)) = x1
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POL(c60(x1)) = x1
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POL(c61(x1)) = x1
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POL(mark(x1)) = 0
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POL(ok(x1)) = [1] + x1
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(108) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
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active(dbl(s(z0))) → mark(s(s(dbl(z0))))
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active(dbls(nil)) → mark(nil)
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active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
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active(sel(0, cons(z0, z1))) → mark(z0)
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active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
419.86/127.32
active(indx(nil, z0)) → mark(nil)
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active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
419.86/127.32
active(from(z0)) → mark(cons(z0, from(s(z0))))
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active(dbl1(0)) → mark(01)
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active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
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active(sel1(0, cons(z0, z1))) → mark(z0)
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active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
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active(quote(0)) → mark(01)
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active(quote(s(z0))) → mark(s1(quote(z0)))
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active(quote(dbl(z0))) → mark(dbl1(z0))
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active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
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active(dbl(z0)) → dbl(active(z0))
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active(dbls(z0)) → dbls(active(z0))
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active(sel(z0, z1)) → sel(active(z0), z1)
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active(sel(z0, z1)) → sel(z0, active(z1))
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active(indx(z0, z1)) → indx(active(z0), z1)
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active(dbl1(z0)) → dbl1(active(z0))
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active(s1(z0)) → s1(active(z0))
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active(sel1(z0, z1)) → sel1(active(z0), z1)
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active(sel1(z0, z1)) → sel1(z0, active(z1))
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active(quote(z0)) → quote(active(z0))
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dbl(mark(z0)) → mark(dbl(z0))
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dbl(ok(z0)) → ok(dbl(z0))
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dbls(mark(z0)) → mark(dbls(z0))
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dbls(ok(z0)) → ok(dbls(z0))
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sel(mark(z0), z1) → mark(sel(z0, z1))
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sel(z0, mark(z1)) → mark(sel(z0, z1))
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sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
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indx(mark(z0), z1) → mark(indx(z0, z1))
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indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
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dbl1(mark(z0)) → mark(dbl1(z0))
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dbl1(ok(z0)) → ok(dbl1(z0))
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s1(mark(z0)) → mark(s1(z0))
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s1(ok(z0)) → ok(s1(z0))
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sel1(mark(z0), z1) → mark(sel1(z0, z1))
419.86/127.32
sel1(z0, mark(z1)) → mark(sel1(z0, z1))
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sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
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quote(mark(z0)) → mark(quote(z0))
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quote(ok(z0)) → ok(quote(z0))
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proper(dbl(z0)) → dbl(proper(z0))
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proper(0) → ok(0)
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proper(s(z0)) → s(proper(z0))
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proper(dbls(z0)) → dbls(proper(z0))
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proper(nil) → ok(nil)
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proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
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proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
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proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
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proper(from(z0)) → from(proper(z0))
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proper(dbl1(z0)) → dbl1(proper(z0))
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proper(01) → ok(01)
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proper(s1(z0)) → s1(proper(z0))
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proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
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proper(quote(z0)) → quote(proper(z0))
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s(ok(z0)) → ok(s(z0))
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cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
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from(ok(z0)) → ok(from(z0))
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top(mark(z0)) → top(proper(z0))
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top(ok(z0)) → top(active(z0))
Tuples:
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
S tuples:
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
K tuples:
DBL1(ok(z0)) → c37(DBL1(z0))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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S(ok(z0)) → c59(S(z0))
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, S, CONS, FROM
Compound Symbols:
c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c59, c60, c61
419.86/127.32
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(109) CdtPolyRedPairProof (UPPER BOUND (ADD(O(n^1))) transformation)
Found a reduction pair which oriented the following tuples strictly. Hence they can be removed from S.
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
We considered the (Usable) Rules:none
And the Tuples:
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
The order we found is given by the following interpretation:
Polynomial interpretation :
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POL(CONS(x1, x2)) = 0
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POL(DBL(x1)) = [2]x1
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POL(DBL1(x1)) = 0
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POL(DBLS(x1)) = 0
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POL(FROM(x1)) = 0
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POL(INDX(x1, x2)) = [5]x1 + [5]x2
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POL(QUOTE(x1)) = 0
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POL(S(x1)) = [5]x1
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POL(S1(x1)) = 0
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POL(SEL(x1, x2)) = 0
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POL(SEL1(x1, x2)) = 0
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POL(c27(x1)) = x1
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POL(c28(x1)) = x1
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POL(c29(x1)) = x1
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POL(c30(x1)) = x1
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POL(c31(x1)) = x1
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POL(c32(x1)) = x1
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POL(c33(x1)) = x1
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POL(c34(x1)) = x1
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POL(c35(x1)) = x1
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POL(c36(x1)) = x1
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POL(c37(x1)) = x1
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POL(c38(x1)) = x1
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POL(c39(x1)) = x1
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POL(c40(x1)) = x1
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POL(c41(x1)) = x1
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POL(c42(x1)) = x1
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POL(c43(x1)) = x1
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POL(c44(x1)) = x1
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POL(c59(x1)) = x1
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POL(c60(x1)) = x1
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POL(c61(x1)) = x1
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POL(mark(x1)) = [1] + x1
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POL(ok(x1)) = [1] + x1
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(110) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
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active(dbl(s(z0))) → mark(s(s(dbl(z0))))
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active(dbls(nil)) → mark(nil)
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active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
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active(sel(0, cons(z0, z1))) → mark(z0)
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active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
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active(indx(nil, z0)) → mark(nil)
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active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
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active(from(z0)) → mark(cons(z0, from(s(z0))))
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active(dbl1(0)) → mark(01)
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active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
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active(sel1(0, cons(z0, z1))) → mark(z0)
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active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
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active(quote(0)) → mark(01)
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active(quote(s(z0))) → mark(s1(quote(z0)))
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active(quote(dbl(z0))) → mark(dbl1(z0))
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active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
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active(dbl(z0)) → dbl(active(z0))
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active(dbls(z0)) → dbls(active(z0))
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active(sel(z0, z1)) → sel(active(z0), z1)
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active(sel(z0, z1)) → sel(z0, active(z1))
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active(indx(z0, z1)) → indx(active(z0), z1)
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active(dbl1(z0)) → dbl1(active(z0))
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active(s1(z0)) → s1(active(z0))
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active(sel1(z0, z1)) → sel1(active(z0), z1)
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active(sel1(z0, z1)) → sel1(z0, active(z1))
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active(quote(z0)) → quote(active(z0))
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dbl(mark(z0)) → mark(dbl(z0))
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dbl(ok(z0)) → ok(dbl(z0))
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dbls(mark(z0)) → mark(dbls(z0))
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dbls(ok(z0)) → ok(dbls(z0))
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sel(mark(z0), z1) → mark(sel(z0, z1))
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sel(z0, mark(z1)) → mark(sel(z0, z1))
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sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
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indx(mark(z0), z1) → mark(indx(z0, z1))
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indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
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dbl1(mark(z0)) → mark(dbl1(z0))
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dbl1(ok(z0)) → ok(dbl1(z0))
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s1(mark(z0)) → mark(s1(z0))
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s1(ok(z0)) → ok(s1(z0))
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sel1(mark(z0), z1) → mark(sel1(z0, z1))
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sel1(z0, mark(z1)) → mark(sel1(z0, z1))
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sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
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quote(mark(z0)) → mark(quote(z0))
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quote(ok(z0)) → ok(quote(z0))
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proper(dbl(z0)) → dbl(proper(z0))
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proper(0) → ok(0)
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proper(s(z0)) → s(proper(z0))
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proper(dbls(z0)) → dbls(proper(z0))
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proper(nil) → ok(nil)
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proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
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proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
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proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
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proper(from(z0)) → from(proper(z0))
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proper(dbl1(z0)) → dbl1(proper(z0))
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proper(01) → ok(01)
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proper(s1(z0)) → s1(proper(z0))
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proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
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proper(quote(z0)) → quote(proper(z0))
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s(ok(z0)) → ok(s(z0))
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cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
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from(ok(z0)) → ok(from(z0))
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top(mark(z0)) → top(proper(z0))
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top(ok(z0)) → top(active(z0))
Tuples:
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
S tuples:
DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
K tuples:
DBL1(ok(z0)) → c37(DBL1(z0))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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S(ok(z0)) → c59(S(z0))
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DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, S, CONS, FROM
Compound Symbols:
c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c59, c60, c61
419.86/127.32
419.86/127.32
(111) CdtPolyRedPairProof (UPPER BOUND (ADD(O(n^2))) transformation)
Found a reduction pair which oriented the following tuples strictly. Hence they can be removed from S.
CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
We considered the (Usable) Rules:none
And the Tuples:
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
419.86/127.32
DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
The order we found is given by the following interpretation:
Polynomial interpretation :
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POL(CONS(x1, x2)) = [2]x22
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POL(DBL(x1)) = 0
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POL(DBL1(x1)) = 0
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POL(DBLS(x1)) = 0
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POL(FROM(x1)) = x12
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POL(INDX(x1, x2)) = x2
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POL(QUOTE(x1)) = 0
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POL(S(x1)) = [3]x1 + [3]x12
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POL(S1(x1)) = 0
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POL(SEL(x1, x2)) = 0
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POL(SEL1(x1, x2)) = 0
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POL(c27(x1)) = x1
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POL(c28(x1)) = x1
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POL(c29(x1)) = x1
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POL(c30(x1)) = x1
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POL(c31(x1)) = x1
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POL(c32(x1)) = x1
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POL(c33(x1)) = x1
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POL(c34(x1)) = x1
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POL(c35(x1)) = x1
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POL(c36(x1)) = x1
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POL(c37(x1)) = x1
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POL(c38(x1)) = x1
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POL(c39(x1)) = x1
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POL(c40(x1)) = x1
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POL(c41(x1)) = x1
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POL(c42(x1)) = x1
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POL(c43(x1)) = x1
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POL(c44(x1)) = x1
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POL(c59(x1)) = x1
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POL(c60(x1)) = x1
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POL(c61(x1)) = x1
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POL(mark(x1)) = 0
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POL(ok(x1)) = [1] + x1
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(112) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
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active(dbl(s(z0))) → mark(s(s(dbl(z0))))
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active(dbls(nil)) → mark(nil)
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active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
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active(sel(0, cons(z0, z1))) → mark(z0)
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active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
419.86/127.32
active(indx(nil, z0)) → mark(nil)
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active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
419.86/127.32
active(from(z0)) → mark(cons(z0, from(s(z0))))
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active(dbl1(0)) → mark(01)
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active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
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active(sel1(0, cons(z0, z1))) → mark(z0)
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active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
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active(quote(0)) → mark(01)
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active(quote(s(z0))) → mark(s1(quote(z0)))
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active(quote(dbl(z0))) → mark(dbl1(z0))
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active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
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active(dbl(z0)) → dbl(active(z0))
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active(dbls(z0)) → dbls(active(z0))
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active(sel(z0, z1)) → sel(active(z0), z1)
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active(sel(z0, z1)) → sel(z0, active(z1))
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active(indx(z0, z1)) → indx(active(z0), z1)
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active(dbl1(z0)) → dbl1(active(z0))
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active(s1(z0)) → s1(active(z0))
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active(sel1(z0, z1)) → sel1(active(z0), z1)
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active(sel1(z0, z1)) → sel1(z0, active(z1))
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active(quote(z0)) → quote(active(z0))
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dbl(mark(z0)) → mark(dbl(z0))
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dbl(ok(z0)) → ok(dbl(z0))
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dbls(mark(z0)) → mark(dbls(z0))
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dbls(ok(z0)) → ok(dbls(z0))
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sel(mark(z0), z1) → mark(sel(z0, z1))
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sel(z0, mark(z1)) → mark(sel(z0, z1))
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sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
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indx(mark(z0), z1) → mark(indx(z0, z1))
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indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
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dbl1(mark(z0)) → mark(dbl1(z0))
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dbl1(ok(z0)) → ok(dbl1(z0))
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s1(mark(z0)) → mark(s1(z0))
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s1(ok(z0)) → ok(s1(z0))
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sel1(mark(z0), z1) → mark(sel1(z0, z1))
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sel1(z0, mark(z1)) → mark(sel1(z0, z1))
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sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
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quote(mark(z0)) → mark(quote(z0))
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quote(ok(z0)) → ok(quote(z0))
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proper(dbl(z0)) → dbl(proper(z0))
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proper(0) → ok(0)
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proper(s(z0)) → s(proper(z0))
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proper(dbls(z0)) → dbls(proper(z0))
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proper(nil) → ok(nil)
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proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
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proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
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proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
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proper(from(z0)) → from(proper(z0))
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proper(dbl1(z0)) → dbl1(proper(z0))
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proper(01) → ok(01)
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proper(s1(z0)) → s1(proper(z0))
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proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
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proper(quote(z0)) → quote(proper(z0))
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s(ok(z0)) → ok(s(z0))
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cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
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from(ok(z0)) → ok(from(z0))
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top(mark(z0)) → top(proper(z0))
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top(ok(z0)) → top(active(z0))
Tuples:
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
S tuples:
DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
K tuples:
DBL1(ok(z0)) → c37(DBL1(z0))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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S(ok(z0)) → c59(S(z0))
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DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, S, CONS, FROM
Compound Symbols:
c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c59, c60, c61
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(113) CdtPolyRedPairProof (UPPER BOUND (ADD(O(n^1))) transformation)
Found a reduction pair which oriented the following tuples strictly. Hence they can be removed from S.
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
We considered the (Usable) Rules:none
And the Tuples:
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
The order we found is given by the following interpretation:
Polynomial interpretation :
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POL(CONS(x1, x2)) = [5]x1 + [3]x2
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POL(DBL(x1)) = [5]x1
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POL(DBL1(x1)) = 0
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POL(DBLS(x1)) = 0
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POL(FROM(x1)) = [5]x1
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POL(INDX(x1, x2)) = [3]x1 + [5]x2
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POL(QUOTE(x1)) = 0
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POL(S(x1)) = [5]x1
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POL(S1(x1)) = 0
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POL(SEL(x1, x2)) = 0
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POL(SEL1(x1, x2)) = x2
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POL(c27(x1)) = x1
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POL(c28(x1)) = x1
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POL(c29(x1)) = x1
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POL(c30(x1)) = x1
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POL(c31(x1)) = x1
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POL(c32(x1)) = x1
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POL(c33(x1)) = x1
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POL(c34(x1)) = x1
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POL(c35(x1)) = x1
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POL(c36(x1)) = x1
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POL(c37(x1)) = x1
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POL(c38(x1)) = x1
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POL(c39(x1)) = x1
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POL(c40(x1)) = x1
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POL(c41(x1)) = x1
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POL(c42(x1)) = x1
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POL(c43(x1)) = x1
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POL(c44(x1)) = x1
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POL(c59(x1)) = x1
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POL(c60(x1)) = x1
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POL(c61(x1)) = x1
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POL(mark(x1)) = [1] + x1
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POL(ok(x1)) = x1
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(114) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
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active(dbl(s(z0))) → mark(s(s(dbl(z0))))
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active(dbls(nil)) → mark(nil)
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active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
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active(sel(0, cons(z0, z1))) → mark(z0)
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active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
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active(indx(nil, z0)) → mark(nil)
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active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
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active(from(z0)) → mark(cons(z0, from(s(z0))))
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active(dbl1(0)) → mark(01)
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active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
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active(sel1(0, cons(z0, z1))) → mark(z0)
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active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
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active(quote(0)) → mark(01)
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active(quote(s(z0))) → mark(s1(quote(z0)))
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active(quote(dbl(z0))) → mark(dbl1(z0))
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active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
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active(dbl(z0)) → dbl(active(z0))
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active(dbls(z0)) → dbls(active(z0))
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active(sel(z0, z1)) → sel(active(z0), z1)
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active(sel(z0, z1)) → sel(z0, active(z1))
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active(indx(z0, z1)) → indx(active(z0), z1)
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active(dbl1(z0)) → dbl1(active(z0))
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active(s1(z0)) → s1(active(z0))
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active(sel1(z0, z1)) → sel1(active(z0), z1)
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active(sel1(z0, z1)) → sel1(z0, active(z1))
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active(quote(z0)) → quote(active(z0))
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dbl(mark(z0)) → mark(dbl(z0))
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dbl(ok(z0)) → ok(dbl(z0))
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dbls(mark(z0)) → mark(dbls(z0))
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dbls(ok(z0)) → ok(dbls(z0))
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sel(mark(z0), z1) → mark(sel(z0, z1))
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sel(z0, mark(z1)) → mark(sel(z0, z1))
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sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
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indx(mark(z0), z1) → mark(indx(z0, z1))
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indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
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dbl1(mark(z0)) → mark(dbl1(z0))
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dbl1(ok(z0)) → ok(dbl1(z0))
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s1(mark(z0)) → mark(s1(z0))
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s1(ok(z0)) → ok(s1(z0))
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sel1(mark(z0), z1) → mark(sel1(z0, z1))
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sel1(z0, mark(z1)) → mark(sel1(z0, z1))
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sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
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quote(mark(z0)) → mark(quote(z0))
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quote(ok(z0)) → ok(quote(z0))
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proper(dbl(z0)) → dbl(proper(z0))
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proper(0) → ok(0)
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proper(s(z0)) → s(proper(z0))
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proper(dbls(z0)) → dbls(proper(z0))
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proper(nil) → ok(nil)
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proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
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proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
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proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
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proper(from(z0)) → from(proper(z0))
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proper(dbl1(z0)) → dbl1(proper(z0))
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proper(01) → ok(01)
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proper(s1(z0)) → s1(proper(z0))
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proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
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proper(quote(z0)) → quote(proper(z0))
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s(ok(z0)) → ok(s(z0))
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cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
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from(ok(z0)) → ok(from(z0))
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top(mark(z0)) → top(proper(z0))
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top(ok(z0)) → top(active(z0))
Tuples:
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
S tuples:
DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
K tuples:
DBL1(ok(z0)) → c37(DBL1(z0))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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S(ok(z0)) → c59(S(z0))
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DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, S, CONS, FROM
Compound Symbols:
c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c59, c60, c61
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(115) CdtPolyRedPairProof (UPPER BOUND (ADD(O(n^1))) transformation)
Found a reduction pair which oriented the following tuples strictly. Hence they can be removed from S.
DBL1(mark(z0)) → c36(DBL1(z0))
We considered the (Usable) Rules:none
And the Tuples:
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
The order we found is given by the following interpretation:
Polynomial interpretation :
419.86/127.32
POL(CONS(x1, x2)) = [5]x1 + [3]x2
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POL(DBL(x1)) = [3]x1
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POL(DBL1(x1)) = x1
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POL(DBLS(x1)) = 0
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POL(FROM(x1)) = [3]x1
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POL(INDX(x1, x2)) = [3]x1 + [5]x2
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POL(QUOTE(x1)) = 0
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POL(S(x1)) = [3]x1
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POL(S1(x1)) = 0
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POL(SEL(x1, x2)) = 0
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POL(SEL1(x1, x2)) = 0
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POL(c27(x1)) = x1
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POL(c28(x1)) = x1
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POL(c29(x1)) = x1
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POL(c30(x1)) = x1
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POL(c31(x1)) = x1
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POL(c32(x1)) = x1
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POL(c33(x1)) = x1
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POL(c34(x1)) = x1
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POL(c35(x1)) = x1
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POL(c36(x1)) = x1
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POL(c37(x1)) = x1
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POL(c38(x1)) = x1
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POL(c39(x1)) = x1
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POL(c40(x1)) = x1
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POL(c41(x1)) = x1
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POL(c42(x1)) = x1
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POL(c43(x1)) = x1
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POL(c44(x1)) = x1
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POL(c59(x1)) = x1
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POL(c60(x1)) = x1
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POL(c61(x1)) = x1
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POL(mark(x1)) = [1] + x1
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POL(ok(x1)) = x1
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(116) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
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active(dbl(s(z0))) → mark(s(s(dbl(z0))))
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active(dbls(nil)) → mark(nil)
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active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
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active(sel(0, cons(z0, z1))) → mark(z0)
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active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
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active(indx(nil, z0)) → mark(nil)
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active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
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active(from(z0)) → mark(cons(z0, from(s(z0))))
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active(dbl1(0)) → mark(01)
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active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
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active(sel1(0, cons(z0, z1))) → mark(z0)
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active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
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active(quote(0)) → mark(01)
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active(quote(s(z0))) → mark(s1(quote(z0)))
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active(quote(dbl(z0))) → mark(dbl1(z0))
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active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
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active(dbl(z0)) → dbl(active(z0))
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active(dbls(z0)) → dbls(active(z0))
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active(sel(z0, z1)) → sel(active(z0), z1)
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active(sel(z0, z1)) → sel(z0, active(z1))
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active(indx(z0, z1)) → indx(active(z0), z1)
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active(dbl1(z0)) → dbl1(active(z0))
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active(s1(z0)) → s1(active(z0))
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active(sel1(z0, z1)) → sel1(active(z0), z1)
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active(sel1(z0, z1)) → sel1(z0, active(z1))
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active(quote(z0)) → quote(active(z0))
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dbl(mark(z0)) → mark(dbl(z0))
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dbl(ok(z0)) → ok(dbl(z0))
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dbls(mark(z0)) → mark(dbls(z0))
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dbls(ok(z0)) → ok(dbls(z0))
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sel(mark(z0), z1) → mark(sel(z0, z1))
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sel(z0, mark(z1)) → mark(sel(z0, z1))
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sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
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indx(mark(z0), z1) → mark(indx(z0, z1))
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indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
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dbl1(mark(z0)) → mark(dbl1(z0))
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dbl1(ok(z0)) → ok(dbl1(z0))
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s1(mark(z0)) → mark(s1(z0))
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s1(ok(z0)) → ok(s1(z0))
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sel1(mark(z0), z1) → mark(sel1(z0, z1))
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sel1(z0, mark(z1)) → mark(sel1(z0, z1))
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sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
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quote(mark(z0)) → mark(quote(z0))
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quote(ok(z0)) → ok(quote(z0))
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proper(dbl(z0)) → dbl(proper(z0))
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proper(0) → ok(0)
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proper(s(z0)) → s(proper(z0))
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proper(dbls(z0)) → dbls(proper(z0))
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proper(nil) → ok(nil)
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proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
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proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
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proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
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proper(from(z0)) → from(proper(z0))
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proper(dbl1(z0)) → dbl1(proper(z0))
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proper(01) → ok(01)
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proper(s1(z0)) → s1(proper(z0))
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proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
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proper(quote(z0)) → quote(proper(z0))
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s(ok(z0)) → ok(s(z0))
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cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
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from(ok(z0)) → ok(from(z0))
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top(mark(z0)) → top(proper(z0))
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top(ok(z0)) → top(active(z0))
Tuples:
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
S tuples:
DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
K tuples:
DBL1(ok(z0)) → c37(DBL1(z0))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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S(ok(z0)) → c59(S(z0))
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DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, S, CONS, FROM
Compound Symbols:
c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c59, c60, c61
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(117) CdtPolyRedPairProof (UPPER BOUND (ADD(O(n^1))) transformation)
Found a reduction pair which oriented the following tuples strictly. Hence they can be removed from S.
SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
We considered the (Usable) Rules:none
And the Tuples:
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
The order we found is given by the following interpretation:
Polynomial interpretation :
419.86/127.32
POL(CONS(x1, x2)) = [3]x1 + [5]x2
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POL(DBL(x1)) = [5]x1
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POL(DBL1(x1)) = [3]x1
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POL(DBLS(x1)) = 0
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POL(FROM(x1)) = [5]x1
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POL(INDX(x1, x2)) = [5]x1 + [3]x2
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POL(QUOTE(x1)) = 0
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POL(S(x1)) = [5]x1
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POL(S1(x1)) = 0
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POL(SEL(x1, x2)) = 0
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POL(SEL1(x1, x2)) = x1
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POL(c27(x1)) = x1
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POL(c28(x1)) = x1
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POL(c29(x1)) = x1
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POL(c30(x1)) = x1
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POL(c31(x1)) = x1
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POL(c32(x1)) = x1
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POL(c33(x1)) = x1
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POL(c34(x1)) = x1
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POL(c35(x1)) = x1
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POL(c36(x1)) = x1
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POL(c37(x1)) = x1
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POL(c38(x1)) = x1
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POL(c39(x1)) = x1
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POL(c40(x1)) = x1
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POL(c41(x1)) = x1
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POL(c42(x1)) = x1
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POL(c43(x1)) = x1
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POL(c44(x1)) = x1
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POL(c59(x1)) = x1
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POL(c60(x1)) = x1
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POL(c61(x1)) = x1
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POL(mark(x1)) = [1] + x1
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POL(ok(x1)) = x1
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(118) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
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active(dbl(s(z0))) → mark(s(s(dbl(z0))))
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active(dbls(nil)) → mark(nil)
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active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
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active(sel(0, cons(z0, z1))) → mark(z0)
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active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
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active(indx(nil, z0)) → mark(nil)
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active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
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active(from(z0)) → mark(cons(z0, from(s(z0))))
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active(dbl1(0)) → mark(01)
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active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
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active(sel1(0, cons(z0, z1))) → mark(z0)
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active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
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active(quote(0)) → mark(01)
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active(quote(s(z0))) → mark(s1(quote(z0)))
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active(quote(dbl(z0))) → mark(dbl1(z0))
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active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
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active(dbl(z0)) → dbl(active(z0))
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active(dbls(z0)) → dbls(active(z0))
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active(sel(z0, z1)) → sel(active(z0), z1)
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active(sel(z0, z1)) → sel(z0, active(z1))
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active(indx(z0, z1)) → indx(active(z0), z1)
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active(dbl1(z0)) → dbl1(active(z0))
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active(s1(z0)) → s1(active(z0))
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active(sel1(z0, z1)) → sel1(active(z0), z1)
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active(sel1(z0, z1)) → sel1(z0, active(z1))
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active(quote(z0)) → quote(active(z0))
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dbl(mark(z0)) → mark(dbl(z0))
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dbl(ok(z0)) → ok(dbl(z0))
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dbls(mark(z0)) → mark(dbls(z0))
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dbls(ok(z0)) → ok(dbls(z0))
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sel(mark(z0), z1) → mark(sel(z0, z1))
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sel(z0, mark(z1)) → mark(sel(z0, z1))
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sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
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indx(mark(z0), z1) → mark(indx(z0, z1))
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indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
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dbl1(mark(z0)) → mark(dbl1(z0))
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dbl1(ok(z0)) → ok(dbl1(z0))
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s1(mark(z0)) → mark(s1(z0))
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s1(ok(z0)) → ok(s1(z0))
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sel1(mark(z0), z1) → mark(sel1(z0, z1))
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sel1(z0, mark(z1)) → mark(sel1(z0, z1))
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sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
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quote(mark(z0)) → mark(quote(z0))
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quote(ok(z0)) → ok(quote(z0))
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proper(dbl(z0)) → dbl(proper(z0))
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proper(0) → ok(0)
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proper(s(z0)) → s(proper(z0))
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proper(dbls(z0)) → dbls(proper(z0))
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proper(nil) → ok(nil)
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proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
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proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
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proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
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proper(from(z0)) → from(proper(z0))
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proper(dbl1(z0)) → dbl1(proper(z0))
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proper(01) → ok(01)
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proper(s1(z0)) → s1(proper(z0))
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proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
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proper(quote(z0)) → quote(proper(z0))
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s(ok(z0)) → ok(s(z0))
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cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
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from(ok(z0)) → ok(from(z0))
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top(mark(z0)) → top(proper(z0))
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top(ok(z0)) → top(active(z0))
Tuples:
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
S tuples:
DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
K tuples:
DBL1(ok(z0)) → c37(DBL1(z0))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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S(ok(z0)) → c59(S(z0))
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DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, S, CONS, FROM
Compound Symbols:
c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c59, c60, c61
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(119) CdtPolyRedPairProof (UPPER BOUND (ADD(O(n^1))) transformation)
Found a reduction pair which oriented the following tuples strictly. Hence they can be removed from S.
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
We considered the (Usable) Rules:none
And the Tuples:
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
The order we found is given by the following interpretation:
Polynomial interpretation :
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POL(CONS(x1, x2)) = [5]x1 + [5]x2
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POL(DBL(x1)) = [3]x1
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POL(DBL1(x1)) = [5]x1
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POL(DBLS(x1)) = 0
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POL(FROM(x1)) = [5]x1
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POL(INDX(x1, x2)) = [3]x1 + [5]x2
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POL(QUOTE(x1)) = 0
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POL(S(x1)) = [3]x1
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POL(S1(x1)) = 0
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POL(SEL(x1, x2)) = 0
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POL(SEL1(x1, x2)) = x1
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POL(c27(x1)) = x1
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POL(c28(x1)) = x1
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POL(c29(x1)) = x1
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POL(c30(x1)) = x1
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POL(c31(x1)) = x1
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POL(c32(x1)) = x1
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POL(c33(x1)) = x1
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POL(c34(x1)) = x1
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POL(c35(x1)) = x1
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POL(c36(x1)) = x1
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POL(c37(x1)) = x1
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POL(c38(x1)) = x1
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POL(c39(x1)) = x1
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POL(c40(x1)) = x1
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POL(c41(x1)) = x1
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POL(c42(x1)) = x1
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POL(c43(x1)) = x1
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POL(c44(x1)) = x1
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POL(c59(x1)) = x1
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POL(c60(x1)) = x1
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POL(c61(x1)) = x1
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POL(mark(x1)) = x1
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POL(ok(x1)) = [2] + x1
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(120) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
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active(dbl(s(z0))) → mark(s(s(dbl(z0))))
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active(dbls(nil)) → mark(nil)
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active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
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active(sel(0, cons(z0, z1))) → mark(z0)
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active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
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active(indx(nil, z0)) → mark(nil)
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active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
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active(from(z0)) → mark(cons(z0, from(s(z0))))
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active(dbl1(0)) → mark(01)
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active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
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active(sel1(0, cons(z0, z1))) → mark(z0)
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active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
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active(quote(0)) → mark(01)
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active(quote(s(z0))) → mark(s1(quote(z0)))
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active(quote(dbl(z0))) → mark(dbl1(z0))
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active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
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active(dbl(z0)) → dbl(active(z0))
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active(dbls(z0)) → dbls(active(z0))
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active(sel(z0, z1)) → sel(active(z0), z1)
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active(sel(z0, z1)) → sel(z0, active(z1))
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active(indx(z0, z1)) → indx(active(z0), z1)
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active(dbl1(z0)) → dbl1(active(z0))
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active(s1(z0)) → s1(active(z0))
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active(sel1(z0, z1)) → sel1(active(z0), z1)
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active(sel1(z0, z1)) → sel1(z0, active(z1))
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active(quote(z0)) → quote(active(z0))
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dbl(mark(z0)) → mark(dbl(z0))
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dbl(ok(z0)) → ok(dbl(z0))
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dbls(mark(z0)) → mark(dbls(z0))
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dbls(ok(z0)) → ok(dbls(z0))
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sel(mark(z0), z1) → mark(sel(z0, z1))
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sel(z0, mark(z1)) → mark(sel(z0, z1))
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sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
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indx(mark(z0), z1) → mark(indx(z0, z1))
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indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
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dbl1(mark(z0)) → mark(dbl1(z0))
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dbl1(ok(z0)) → ok(dbl1(z0))
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s1(mark(z0)) → mark(s1(z0))
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s1(ok(z0)) → ok(s1(z0))
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sel1(mark(z0), z1) → mark(sel1(z0, z1))
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sel1(z0, mark(z1)) → mark(sel1(z0, z1))
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sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
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quote(mark(z0)) → mark(quote(z0))
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quote(ok(z0)) → ok(quote(z0))
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proper(dbl(z0)) → dbl(proper(z0))
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proper(0) → ok(0)
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proper(s(z0)) → s(proper(z0))
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proper(dbls(z0)) → dbls(proper(z0))
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proper(nil) → ok(nil)
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proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
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proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
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proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
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proper(from(z0)) → from(proper(z0))
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proper(dbl1(z0)) → dbl1(proper(z0))
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proper(01) → ok(01)
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proper(s1(z0)) → s1(proper(z0))
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proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
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proper(quote(z0)) → quote(proper(z0))
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s(ok(z0)) → ok(s(z0))
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cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
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from(ok(z0)) → ok(from(z0))
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top(mark(z0)) → top(proper(z0))
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top(ok(z0)) → top(active(z0))
Tuples:
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
S tuples:
DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
K tuples:
DBL1(ok(z0)) → c37(DBL1(z0))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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S(ok(z0)) → c59(S(z0))
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DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, S, CONS, FROM
Compound Symbols:
c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c59, c60, c61
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(121) CdtPolyRedPairProof (UPPER BOUND (ADD(O(n^1))) transformation)
Found a reduction pair which oriented the following tuples strictly. Hence they can be removed from S.
DBLS(mark(z0)) → c29(DBLS(z0))
We considered the (Usable) Rules:none
And the Tuples:
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
The order we found is given by the following interpretation:
Polynomial interpretation :
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POL(CONS(x1, x2)) = [3]x1 + [5]x2
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POL(DBL(x1)) = [5]x1
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POL(DBL1(x1)) = [5]x1
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POL(DBLS(x1)) = [2]x1
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POL(FROM(x1)) = [5]x1
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POL(INDX(x1, x2)) = [5]x1 + [3]x2
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POL(QUOTE(x1)) = 0
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POL(S(x1)) = [3]x1
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POL(S1(x1)) = 0
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POL(SEL(x1, x2)) = 0
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POL(SEL1(x1, x2)) = [5]x1 + [5]x2
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POL(c27(x1)) = x1
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POL(c28(x1)) = x1
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POL(c29(x1)) = x1
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POL(c30(x1)) = x1
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POL(c31(x1)) = x1
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POL(c32(x1)) = x1
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POL(c33(x1)) = x1
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POL(c34(x1)) = x1
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POL(c35(x1)) = x1
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POL(c36(x1)) = x1
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POL(c37(x1)) = x1
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POL(c38(x1)) = x1
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POL(c39(x1)) = x1
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POL(c40(x1)) = x1
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POL(c41(x1)) = x1
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POL(c42(x1)) = x1
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POL(c43(x1)) = x1
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POL(c44(x1)) = x1
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POL(c59(x1)) = x1
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POL(c60(x1)) = x1
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POL(c61(x1)) = x1
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POL(mark(x1)) = [1] + x1
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POL(ok(x1)) = x1
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(122) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
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active(dbl(s(z0))) → mark(s(s(dbl(z0))))
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active(dbls(nil)) → mark(nil)
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active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
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active(sel(0, cons(z0, z1))) → mark(z0)
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active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
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active(indx(nil, z0)) → mark(nil)
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active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
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active(from(z0)) → mark(cons(z0, from(s(z0))))
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active(dbl1(0)) → mark(01)
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active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
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active(sel1(0, cons(z0, z1))) → mark(z0)
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active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
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active(quote(0)) → mark(01)
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active(quote(s(z0))) → mark(s1(quote(z0)))
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active(quote(dbl(z0))) → mark(dbl1(z0))
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active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
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active(dbl(z0)) → dbl(active(z0))
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active(dbls(z0)) → dbls(active(z0))
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active(sel(z0, z1)) → sel(active(z0), z1)
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active(sel(z0, z1)) → sel(z0, active(z1))
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active(indx(z0, z1)) → indx(active(z0), z1)
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active(dbl1(z0)) → dbl1(active(z0))
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active(s1(z0)) → s1(active(z0))
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active(sel1(z0, z1)) → sel1(active(z0), z1)
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active(sel1(z0, z1)) → sel1(z0, active(z1))
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active(quote(z0)) → quote(active(z0))
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dbl(mark(z0)) → mark(dbl(z0))
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dbl(ok(z0)) → ok(dbl(z0))
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dbls(mark(z0)) → mark(dbls(z0))
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dbls(ok(z0)) → ok(dbls(z0))
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sel(mark(z0), z1) → mark(sel(z0, z1))
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sel(z0, mark(z1)) → mark(sel(z0, z1))
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sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
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indx(mark(z0), z1) → mark(indx(z0, z1))
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indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
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dbl1(mark(z0)) → mark(dbl1(z0))
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dbl1(ok(z0)) → ok(dbl1(z0))
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s1(mark(z0)) → mark(s1(z0))
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s1(ok(z0)) → ok(s1(z0))
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sel1(mark(z0), z1) → mark(sel1(z0, z1))
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sel1(z0, mark(z1)) → mark(sel1(z0, z1))
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sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
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quote(mark(z0)) → mark(quote(z0))
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quote(ok(z0)) → ok(quote(z0))
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proper(dbl(z0)) → dbl(proper(z0))
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proper(0) → ok(0)
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proper(s(z0)) → s(proper(z0))
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proper(dbls(z0)) → dbls(proper(z0))
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proper(nil) → ok(nil)
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proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
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proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
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proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
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proper(from(z0)) → from(proper(z0))
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proper(dbl1(z0)) → dbl1(proper(z0))
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proper(01) → ok(01)
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proper(s1(z0)) → s1(proper(z0))
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proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
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proper(quote(z0)) → quote(proper(z0))
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s(ok(z0)) → ok(s(z0))
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cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
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from(ok(z0)) → ok(from(z0))
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top(mark(z0)) → top(proper(z0))
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top(ok(z0)) → top(active(z0))
Tuples:
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
S tuples:
DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
K tuples:
DBL1(ok(z0)) → c37(DBL1(z0))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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S(ok(z0)) → c59(S(z0))
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DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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DBLS(mark(z0)) → c29(DBLS(z0))
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, S, CONS, FROM
Compound Symbols:
c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c59, c60, c61
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(123) CdtPolyRedPairProof (UPPER BOUND (ADD(O(n^1))) transformation)
Found a reduction pair which oriented the following tuples strictly. Hence they can be removed from S.
DBLS(ok(z0)) → c30(DBLS(z0))
We considered the (Usable) Rules:none
And the Tuples:
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
The order we found is given by the following interpretation:
Polynomial interpretation :
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POL(CONS(x1, x2)) = [5]x1 + [3]x2
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POL(DBL(x1)) = [5]x1
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POL(DBL1(x1)) = [3]x1
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POL(DBLS(x1)) = x1
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POL(FROM(x1)) = [5]x1
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POL(INDX(x1, x2)) = [3]x1 + [5]x2
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POL(QUOTE(x1)) = 0
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POL(S(x1)) = [5]x1
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POL(S1(x1)) = 0
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POL(SEL(x1, x2)) = 0
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POL(SEL1(x1, x2)) = [5]x1 + [3]x2
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POL(c27(x1)) = x1
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POL(c28(x1)) = x1
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POL(c29(x1)) = x1
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POL(c30(x1)) = x1
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POL(c31(x1)) = x1
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POL(c32(x1)) = x1
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POL(c33(x1)) = x1
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POL(c34(x1)) = x1
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POL(c35(x1)) = x1
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POL(c36(x1)) = x1
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POL(c37(x1)) = x1
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POL(c38(x1)) = x1
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POL(c39(x1)) = x1
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POL(c40(x1)) = x1
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POL(c41(x1)) = x1
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POL(c42(x1)) = x1
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POL(c43(x1)) = x1
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POL(c44(x1)) = x1
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POL(c59(x1)) = x1
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POL(c60(x1)) = x1
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POL(c61(x1)) = x1
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POL(mark(x1)) = x1
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POL(ok(x1)) = [2] + x1
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(124) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
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active(dbl(s(z0))) → mark(s(s(dbl(z0))))
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active(dbls(nil)) → mark(nil)
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active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
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active(sel(0, cons(z0, z1))) → mark(z0)
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active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
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active(indx(nil, z0)) → mark(nil)
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active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
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active(from(z0)) → mark(cons(z0, from(s(z0))))
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active(dbl1(0)) → mark(01)
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active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
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active(sel1(0, cons(z0, z1))) → mark(z0)
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active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
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active(quote(0)) → mark(01)
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active(quote(s(z0))) → mark(s1(quote(z0)))
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active(quote(dbl(z0))) → mark(dbl1(z0))
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active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
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active(dbl(z0)) → dbl(active(z0))
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active(dbls(z0)) → dbls(active(z0))
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active(sel(z0, z1)) → sel(active(z0), z1)
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active(sel(z0, z1)) → sel(z0, active(z1))
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active(indx(z0, z1)) → indx(active(z0), z1)
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active(dbl1(z0)) → dbl1(active(z0))
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active(s1(z0)) → s1(active(z0))
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active(sel1(z0, z1)) → sel1(active(z0), z1)
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active(sel1(z0, z1)) → sel1(z0, active(z1))
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active(quote(z0)) → quote(active(z0))
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dbl(mark(z0)) → mark(dbl(z0))
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dbl(ok(z0)) → ok(dbl(z0))
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dbls(mark(z0)) → mark(dbls(z0))
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dbls(ok(z0)) → ok(dbls(z0))
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sel(mark(z0), z1) → mark(sel(z0, z1))
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sel(z0, mark(z1)) → mark(sel(z0, z1))
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sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
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indx(mark(z0), z1) → mark(indx(z0, z1))
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indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
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dbl1(mark(z0)) → mark(dbl1(z0))
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dbl1(ok(z0)) → ok(dbl1(z0))
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s1(mark(z0)) → mark(s1(z0))
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s1(ok(z0)) → ok(s1(z0))
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sel1(mark(z0), z1) → mark(sel1(z0, z1))
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sel1(z0, mark(z1)) → mark(sel1(z0, z1))
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sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
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quote(mark(z0)) → mark(quote(z0))
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quote(ok(z0)) → ok(quote(z0))
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proper(dbl(z0)) → dbl(proper(z0))
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proper(0) → ok(0)
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proper(s(z0)) → s(proper(z0))
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proper(dbls(z0)) → dbls(proper(z0))
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proper(nil) → ok(nil)
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proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
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proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
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proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
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proper(from(z0)) → from(proper(z0))
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proper(dbl1(z0)) → dbl1(proper(z0))
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proper(01) → ok(01)
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proper(s1(z0)) → s1(proper(z0))
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proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
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proper(quote(z0)) → quote(proper(z0))
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s(ok(z0)) → ok(s(z0))
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cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
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from(ok(z0)) → ok(from(z0))
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top(mark(z0)) → top(proper(z0))
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top(ok(z0)) → top(active(z0))
Tuples:
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
S tuples:
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
K tuples:
DBL1(ok(z0)) → c37(DBL1(z0))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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S(ok(z0)) → c59(S(z0))
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DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, S, CONS, FROM
Compound Symbols:
c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c59, c60, c61
419.86/127.32
419.86/127.32
(125) CdtPolyRedPairProof (UPPER BOUND (ADD(O(n^2))) transformation)
Found a reduction pair which oriented the following tuples strictly. Hence they can be removed from S.
S1(mark(z0)) → c38(S1(z0))
We considered the (Usable) Rules:none
And the Tuples:
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
The order we found is given by the following interpretation:
Polynomial interpretation :
419.86/127.32
POL(CONS(x1, x2)) = x1 + x2 + [3]x22 + [3]x1·x2 + [3]x12
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POL(DBL(x1)) = [3]x1 + [3]x12
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POL(DBL1(x1)) = [3]x1 + [3]x12
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POL(DBLS(x1)) = [3]x1 + [3]x12
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POL(FROM(x1)) = [3]x1 + [3]x12
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POL(INDX(x1, x2)) = x1 + x2 + [3]x22 + [3]x1·x2 + [3]x12
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POL(QUOTE(x1)) = 0
419.86/127.32
POL(S(x1)) = [3]x1 + [3]x12
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POL(S1(x1)) = x12
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POL(SEL(x1, x2)) = 0
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POL(SEL1(x1, x2)) = x1 + x2 + [3]x22 + [3]x1·x2 + [3]x12
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POL(c27(x1)) = x1
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POL(c28(x1)) = x1
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POL(c29(x1)) = x1
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POL(c30(x1)) = x1
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POL(c31(x1)) = x1
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POL(c32(x1)) = x1
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POL(c33(x1)) = x1
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POL(c34(x1)) = x1
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POL(c35(x1)) = x1
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POL(c36(x1)) = x1
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POL(c37(x1)) = x1
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POL(c38(x1)) = x1
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POL(c39(x1)) = x1
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POL(c40(x1)) = x1
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POL(c41(x1)) = x1
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POL(c42(x1)) = x1
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POL(c43(x1)) = x1
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POL(c44(x1)) = x1
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POL(c59(x1)) = x1
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POL(c60(x1)) = x1
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POL(c61(x1)) = x1
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POL(mark(x1)) = [1] + x1
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POL(ok(x1)) = x1
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(126) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
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active(dbl(s(z0))) → mark(s(s(dbl(z0))))
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active(dbls(nil)) → mark(nil)
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active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
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active(sel(0, cons(z0, z1))) → mark(z0)
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active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
419.86/127.32
active(indx(nil, z0)) → mark(nil)
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active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
419.86/127.32
active(from(z0)) → mark(cons(z0, from(s(z0))))
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active(dbl1(0)) → mark(01)
419.86/127.32
active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
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active(sel1(0, cons(z0, z1))) → mark(z0)
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active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
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active(quote(0)) → mark(01)
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active(quote(s(z0))) → mark(s1(quote(z0)))
419.86/127.32
active(quote(dbl(z0))) → mark(dbl1(z0))
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active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
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active(dbl(z0)) → dbl(active(z0))
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active(dbls(z0)) → dbls(active(z0))
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active(sel(z0, z1)) → sel(active(z0), z1)
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active(sel(z0, z1)) → sel(z0, active(z1))
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active(indx(z0, z1)) → indx(active(z0), z1)
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active(dbl1(z0)) → dbl1(active(z0))
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active(s1(z0)) → s1(active(z0))
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active(sel1(z0, z1)) → sel1(active(z0), z1)
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active(sel1(z0, z1)) → sel1(z0, active(z1))
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active(quote(z0)) → quote(active(z0))
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dbl(mark(z0)) → mark(dbl(z0))
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dbl(ok(z0)) → ok(dbl(z0))
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dbls(mark(z0)) → mark(dbls(z0))
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dbls(ok(z0)) → ok(dbls(z0))
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sel(mark(z0), z1) → mark(sel(z0, z1))
419.86/127.33
sel(z0, mark(z1)) → mark(sel(z0, z1))
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sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
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indx(mark(z0), z1) → mark(indx(z0, z1))
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indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
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dbl1(mark(z0)) → mark(dbl1(z0))
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dbl1(ok(z0)) → ok(dbl1(z0))
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s1(mark(z0)) → mark(s1(z0))
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s1(ok(z0)) → ok(s1(z0))
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sel1(mark(z0), z1) → mark(sel1(z0, z1))
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sel1(z0, mark(z1)) → mark(sel1(z0, z1))
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sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
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quote(mark(z0)) → mark(quote(z0))
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quote(ok(z0)) → ok(quote(z0))
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proper(dbl(z0)) → dbl(proper(z0))
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proper(0) → ok(0)
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proper(s(z0)) → s(proper(z0))
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proper(dbls(z0)) → dbls(proper(z0))
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proper(nil) → ok(nil)
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proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
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proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
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proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
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proper(from(z0)) → from(proper(z0))
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proper(dbl1(z0)) → dbl1(proper(z0))
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proper(01) → ok(01)
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proper(s1(z0)) → s1(proper(z0))
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proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
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proper(quote(z0)) → quote(proper(z0))
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s(ok(z0)) → ok(s(z0))
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cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
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from(ok(z0)) → ok(from(z0))
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top(mark(z0)) → top(proper(z0))
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top(ok(z0)) → top(active(z0))
Tuples:
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
S tuples:
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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S1(ok(z0)) → c39(S1(z0))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
K tuples:
DBL1(ok(z0)) → c37(DBL1(z0))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
419.86/127.33
SEL(mark(z0), z1) → c31(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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S(ok(z0)) → c59(S(z0))
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DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.86/127.33
DBL1(mark(z0)) → c36(DBL1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
419.86/127.33
DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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S1(mark(z0)) → c38(S1(z0))
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, S, CONS, FROM
Compound Symbols:
c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c59, c60, c61
419.86/127.33
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(127) CdtPolyRedPairProof (UPPER BOUND (ADD(O(n^1))) transformation)
Found a reduction pair which oriented the following tuples strictly. Hence they can be removed from S.
QUOTE(mark(z0)) → c43(QUOTE(z0))
We considered the (Usable) Rules:none
And the Tuples:
DBL(mark(z0)) → c27(DBL(z0))
419.86/127.33
DBL(ok(z0)) → c28(DBL(z0))
419.86/127.33
DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
419.86/127.33
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
419.86/127.33
INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
419.86/127.33
SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
419.86/127.33
SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
The order we found is given by the following interpretation:
Polynomial interpretation :
419.86/127.33
POL(CONS(x1, x2)) = [5]x1 + [5]x2
419.86/127.33
POL(DBL(x1)) = [5]x1
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POL(DBL1(x1)) = [3]x1
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POL(DBLS(x1)) = [3]x1
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POL(FROM(x1)) = [3]x1
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POL(INDX(x1, x2)) = [3]x1 + [5]x2
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POL(QUOTE(x1)) = x1
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POL(S(x1)) = [5]x1
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POL(S1(x1)) = 0
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POL(SEL(x1, x2)) = 0
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POL(SEL1(x1, x2)) = [3]x1 + [5]x2
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POL(c27(x1)) = x1
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POL(c28(x1)) = x1
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POL(c29(x1)) = x1
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POL(c30(x1)) = x1
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POL(c31(x1)) = x1
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POL(c32(x1)) = x1
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POL(c33(x1)) = x1
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POL(c34(x1)) = x1
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POL(c35(x1)) = x1
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POL(c36(x1)) = x1
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POL(c37(x1)) = x1
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POL(c38(x1)) = x1
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POL(c39(x1)) = x1
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POL(c40(x1)) = x1
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POL(c41(x1)) = x1
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POL(c42(x1)) = x1
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POL(c43(x1)) = x1
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POL(c44(x1)) = x1
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POL(c59(x1)) = x1
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POL(c60(x1)) = x1
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POL(c61(x1)) = x1
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POL(mark(x1)) = [1] + x1
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POL(ok(x1)) = x1
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(128) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
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active(dbl(s(z0))) → mark(s(s(dbl(z0))))
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active(dbls(nil)) → mark(nil)
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active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
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active(sel(0, cons(z0, z1))) → mark(z0)
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active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
419.86/127.33
active(indx(nil, z0)) → mark(nil)
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active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
419.86/127.33
active(from(z0)) → mark(cons(z0, from(s(z0))))
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active(dbl1(0)) → mark(01)
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active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
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active(sel1(0, cons(z0, z1))) → mark(z0)
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active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
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active(quote(0)) → mark(01)
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active(quote(s(z0))) → mark(s1(quote(z0)))
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active(quote(dbl(z0))) → mark(dbl1(z0))
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active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
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active(dbl(z0)) → dbl(active(z0))
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active(dbls(z0)) → dbls(active(z0))
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active(sel(z0, z1)) → sel(active(z0), z1)
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active(sel(z0, z1)) → sel(z0, active(z1))
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active(indx(z0, z1)) → indx(active(z0), z1)
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active(dbl1(z0)) → dbl1(active(z0))
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active(s1(z0)) → s1(active(z0))
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active(sel1(z0, z1)) → sel1(active(z0), z1)
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active(sel1(z0, z1)) → sel1(z0, active(z1))
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active(quote(z0)) → quote(active(z0))
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dbl(mark(z0)) → mark(dbl(z0))
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dbl(ok(z0)) → ok(dbl(z0))
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dbls(mark(z0)) → mark(dbls(z0))
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dbls(ok(z0)) → ok(dbls(z0))
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sel(mark(z0), z1) → mark(sel(z0, z1))
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sel(z0, mark(z1)) → mark(sel(z0, z1))
419.86/127.33
sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
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indx(mark(z0), z1) → mark(indx(z0, z1))
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indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
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dbl1(mark(z0)) → mark(dbl1(z0))
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dbl1(ok(z0)) → ok(dbl1(z0))
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s1(mark(z0)) → mark(s1(z0))
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s1(ok(z0)) → ok(s1(z0))
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sel1(mark(z0), z1) → mark(sel1(z0, z1))
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sel1(z0, mark(z1)) → mark(sel1(z0, z1))
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sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
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quote(mark(z0)) → mark(quote(z0))
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quote(ok(z0)) → ok(quote(z0))
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proper(dbl(z0)) → dbl(proper(z0))
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proper(0) → ok(0)
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proper(s(z0)) → s(proper(z0))
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proper(dbls(z0)) → dbls(proper(z0))
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proper(nil) → ok(nil)
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proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
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proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
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proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
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proper(from(z0)) → from(proper(z0))
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proper(dbl1(z0)) → dbl1(proper(z0))
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proper(01) → ok(01)
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proper(s1(z0)) → s1(proper(z0))
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proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
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proper(quote(z0)) → quote(proper(z0))
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s(ok(z0)) → ok(s(z0))
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cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
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from(ok(z0)) → ok(from(z0))
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top(mark(z0)) → top(proper(z0))
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top(ok(z0)) → top(active(z0))
Tuples:
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
S tuples:
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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S1(ok(z0)) → c39(S1(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
K tuples:
DBL1(ok(z0)) → c37(DBL1(z0))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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S(ok(z0)) → c59(S(z0))
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DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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S1(mark(z0)) → c38(S1(z0))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, S, CONS, FROM
Compound Symbols:
c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c59, c60, c61
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(129) CdtPolyRedPairProof (UPPER BOUND (ADD(O(n^1))) transformation)
Found a reduction pair which oriented the following tuples strictly. Hence they can be removed from S.
S1(ok(z0)) → c39(S1(z0))
We considered the (Usable) Rules:none
And the Tuples:
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
The order we found is given by the following interpretation:
Polynomial interpretation :
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POL(CONS(x1, x2)) = [5]x1 + [5]x2
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POL(DBL(x1)) = [5]x1
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POL(DBL1(x1)) = [3]x1
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POL(DBLS(x1)) = [3]x1
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POL(FROM(x1)) = [5]x1
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POL(INDX(x1, x2)) = [3]x1 + [3]x2
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POL(QUOTE(x1)) = 0
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POL(S(x1)) = [5]x1
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POL(S1(x1)) = x1
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POL(SEL(x1, x2)) = 0
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POL(SEL1(x1, x2)) = [5]x1 + [5]x2
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POL(c27(x1)) = x1
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POL(c28(x1)) = x1
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POL(c29(x1)) = x1
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POL(c30(x1)) = x1
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POL(c31(x1)) = x1
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POL(c32(x1)) = x1
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POL(c33(x1)) = x1
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POL(c34(x1)) = x1
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POL(c35(x1)) = x1
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POL(c36(x1)) = x1
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POL(c37(x1)) = x1
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POL(c38(x1)) = x1
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POL(c39(x1)) = x1
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POL(c40(x1)) = x1
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POL(c41(x1)) = x1
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POL(c42(x1)) = x1
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POL(c43(x1)) = x1
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POL(c44(x1)) = x1
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POL(c59(x1)) = x1
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POL(c60(x1)) = x1
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POL(c61(x1)) = x1
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POL(mark(x1)) = [1] + x1
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POL(ok(x1)) = [1] + x1
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(130) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
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active(dbl(s(z0))) → mark(s(s(dbl(z0))))
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active(dbls(nil)) → mark(nil)
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active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
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active(sel(0, cons(z0, z1))) → mark(z0)
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active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
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active(indx(nil, z0)) → mark(nil)
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active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
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active(from(z0)) → mark(cons(z0, from(s(z0))))
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active(dbl1(0)) → mark(01)
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active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
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active(sel1(0, cons(z0, z1))) → mark(z0)
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active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
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active(quote(0)) → mark(01)
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active(quote(s(z0))) → mark(s1(quote(z0)))
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active(quote(dbl(z0))) → mark(dbl1(z0))
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active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
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active(dbl(z0)) → dbl(active(z0))
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active(dbls(z0)) → dbls(active(z0))
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active(sel(z0, z1)) → sel(active(z0), z1)
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active(sel(z0, z1)) → sel(z0, active(z1))
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active(indx(z0, z1)) → indx(active(z0), z1)
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active(dbl1(z0)) → dbl1(active(z0))
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active(s1(z0)) → s1(active(z0))
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active(sel1(z0, z1)) → sel1(active(z0), z1)
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active(sel1(z0, z1)) → sel1(z0, active(z1))
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active(quote(z0)) → quote(active(z0))
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dbl(mark(z0)) → mark(dbl(z0))
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dbl(ok(z0)) → ok(dbl(z0))
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dbls(mark(z0)) → mark(dbls(z0))
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dbls(ok(z0)) → ok(dbls(z0))
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sel(mark(z0), z1) → mark(sel(z0, z1))
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sel(z0, mark(z1)) → mark(sel(z0, z1))
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sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
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indx(mark(z0), z1) → mark(indx(z0, z1))
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indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
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dbl1(mark(z0)) → mark(dbl1(z0))
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dbl1(ok(z0)) → ok(dbl1(z0))
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s1(mark(z0)) → mark(s1(z0))
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s1(ok(z0)) → ok(s1(z0))
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sel1(mark(z0), z1) → mark(sel1(z0, z1))
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sel1(z0, mark(z1)) → mark(sel1(z0, z1))
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sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
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quote(mark(z0)) → mark(quote(z0))
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quote(ok(z0)) → ok(quote(z0))
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proper(dbl(z0)) → dbl(proper(z0))
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proper(0) → ok(0)
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proper(s(z0)) → s(proper(z0))
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proper(dbls(z0)) → dbls(proper(z0))
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proper(nil) → ok(nil)
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proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
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proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
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proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
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proper(from(z0)) → from(proper(z0))
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proper(dbl1(z0)) → dbl1(proper(z0))
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proper(01) → ok(01)
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proper(s1(z0)) → s1(proper(z0))
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proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
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proper(quote(z0)) → quote(proper(z0))
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s(ok(z0)) → ok(s(z0))
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cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
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from(ok(z0)) → ok(from(z0))
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top(mark(z0)) → top(proper(z0))
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top(ok(z0)) → top(active(z0))
Tuples:
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
S tuples:
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
K tuples:
DBL1(ok(z0)) → c37(DBL1(z0))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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S(ok(z0)) → c59(S(z0))
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DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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S1(mark(z0)) → c38(S1(z0))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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S1(ok(z0)) → c39(S1(z0))
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, S, CONS, FROM
Compound Symbols:
c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c59, c60, c61
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(131) CdtPolyRedPairProof (UPPER BOUND (ADD(O(n^1))) transformation)
Found a reduction pair which oriented the following tuples strictly. Hence they can be removed from S.
SEL(z0, mark(z1)) → c32(SEL(z0, z1))
We considered the (Usable) Rules:none
And the Tuples:
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
The order we found is given by the following interpretation:
Polynomial interpretation :
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POL(CONS(x1, x2)) = [5]x1 + [3]x2
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POL(DBL(x1)) = [3]x1
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POL(DBL1(x1)) = [3]x1
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POL(DBLS(x1)) = [5]x1
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POL(FROM(x1)) = [5]x1
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POL(INDX(x1, x2)) = [5]x1 + [5]x2
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POL(QUOTE(x1)) = 0
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POL(S(x1)) = [5]x1
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POL(S1(x1)) = [3]x1
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POL(SEL(x1, x2)) = [4]x2
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POL(SEL1(x1, x2)) = [3]x1 + [3]x2
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POL(c27(x1)) = x1
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POL(c28(x1)) = x1
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POL(c29(x1)) = x1
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POL(c30(x1)) = x1
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POL(c31(x1)) = x1
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POL(c32(x1)) = x1
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POL(c33(x1)) = x1
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POL(c34(x1)) = x1
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POL(c35(x1)) = x1
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POL(c36(x1)) = x1
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POL(c37(x1)) = x1
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POL(c38(x1)) = x1
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POL(c39(x1)) = x1
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POL(c40(x1)) = x1
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POL(c41(x1)) = x1
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POL(c42(x1)) = x1
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POL(c43(x1)) = x1
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POL(c44(x1)) = x1
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POL(c59(x1)) = x1
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POL(c60(x1)) = x1
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POL(c61(x1)) = x1
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POL(mark(x1)) = [1] + x1
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POL(ok(x1)) = x1
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(132) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
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active(dbl(s(z0))) → mark(s(s(dbl(z0))))
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active(dbls(nil)) → mark(nil)
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active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
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active(sel(0, cons(z0, z1))) → mark(z0)
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active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
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active(indx(nil, z0)) → mark(nil)
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active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
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active(from(z0)) → mark(cons(z0, from(s(z0))))
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active(dbl1(0)) → mark(01)
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active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
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active(sel1(0, cons(z0, z1))) → mark(z0)
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active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
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active(quote(0)) → mark(01)
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active(quote(s(z0))) → mark(s1(quote(z0)))
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active(quote(dbl(z0))) → mark(dbl1(z0))
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active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
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active(dbl(z0)) → dbl(active(z0))
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active(dbls(z0)) → dbls(active(z0))
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active(sel(z0, z1)) → sel(active(z0), z1)
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active(sel(z0, z1)) → sel(z0, active(z1))
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active(indx(z0, z1)) → indx(active(z0), z1)
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active(dbl1(z0)) → dbl1(active(z0))
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active(s1(z0)) → s1(active(z0))
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active(sel1(z0, z1)) → sel1(active(z0), z1)
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active(sel1(z0, z1)) → sel1(z0, active(z1))
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active(quote(z0)) → quote(active(z0))
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dbl(mark(z0)) → mark(dbl(z0))
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dbl(ok(z0)) → ok(dbl(z0))
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dbls(mark(z0)) → mark(dbls(z0))
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dbls(ok(z0)) → ok(dbls(z0))
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sel(mark(z0), z1) → mark(sel(z0, z1))
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sel(z0, mark(z1)) → mark(sel(z0, z1))
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sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
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indx(mark(z0), z1) → mark(indx(z0, z1))
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indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
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dbl1(mark(z0)) → mark(dbl1(z0))
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dbl1(ok(z0)) → ok(dbl1(z0))
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s1(mark(z0)) → mark(s1(z0))
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s1(ok(z0)) → ok(s1(z0))
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sel1(mark(z0), z1) → mark(sel1(z0, z1))
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sel1(z0, mark(z1)) → mark(sel1(z0, z1))
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sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
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quote(mark(z0)) → mark(quote(z0))
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quote(ok(z0)) → ok(quote(z0))
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proper(dbl(z0)) → dbl(proper(z0))
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proper(0) → ok(0)
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proper(s(z0)) → s(proper(z0))
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proper(dbls(z0)) → dbls(proper(z0))
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proper(nil) → ok(nil)
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proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
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proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
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proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
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proper(from(z0)) → from(proper(z0))
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proper(dbl1(z0)) → dbl1(proper(z0))
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proper(01) → ok(01)
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proper(s1(z0)) → s1(proper(z0))
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proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
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proper(quote(z0)) → quote(proper(z0))
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s(ok(z0)) → ok(s(z0))
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cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
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from(ok(z0)) → ok(from(z0))
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top(mark(z0)) → top(proper(z0))
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top(ok(z0)) → top(active(z0))
Tuples:
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
S tuples:
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
K tuples:
DBL1(ok(z0)) → c37(DBL1(z0))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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S(ok(z0)) → c59(S(z0))
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DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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S1(mark(z0)) → c38(S1(z0))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, S, CONS, FROM
Compound Symbols:
c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c59, c60, c61
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(133) CdtPolyRedPairProof (UPPER BOUND (ADD(O(n^1))) transformation)
Found a reduction pair which oriented the following tuples strictly. Hence they can be removed from S.
SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
We considered the (Usable) Rules:none
And the Tuples:
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
The order we found is given by the following interpretation:
Polynomial interpretation :
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POL(CONS(x1, x2)) = [5]x1 + [5]x2
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POL(DBL(x1)) = [5]x1
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POL(DBL1(x1)) = [3]x1
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POL(DBLS(x1)) = [5]x1
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POL(FROM(x1)) = [5]x1
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POL(INDX(x1, x2)) = [3]x1 + [5]x2
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POL(QUOTE(x1)) = 0
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POL(S(x1)) = [5]x1
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POL(S1(x1)) = [5]x1
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POL(SEL(x1, x2)) = x2
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POL(SEL1(x1, x2)) = [5]x1 + [3]x2
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POL(c27(x1)) = x1
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POL(c28(x1)) = x1
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POL(c29(x1)) = x1
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POL(c30(x1)) = x1
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POL(c31(x1)) = x1
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POL(c32(x1)) = x1
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POL(c33(x1)) = x1
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POL(c34(x1)) = x1
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POL(c35(x1)) = x1
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POL(c36(x1)) = x1
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POL(c37(x1)) = x1
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POL(c38(x1)) = x1
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POL(c39(x1)) = x1
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POL(c40(x1)) = x1
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POL(c41(x1)) = x1
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POL(c42(x1)) = x1
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POL(c43(x1)) = x1
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POL(c44(x1)) = x1
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POL(c59(x1)) = x1
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POL(c60(x1)) = x1
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POL(c61(x1)) = x1
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POL(mark(x1)) = x1
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POL(ok(x1)) = [1] + x1
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(134) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
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active(dbl(s(z0))) → mark(s(s(dbl(z0))))
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active(dbls(nil)) → mark(nil)
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active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
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active(sel(0, cons(z0, z1))) → mark(z0)
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active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
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active(indx(nil, z0)) → mark(nil)
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active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
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active(from(z0)) → mark(cons(z0, from(s(z0))))
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active(dbl1(0)) → mark(01)
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active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
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active(sel1(0, cons(z0, z1))) → mark(z0)
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active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
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active(quote(0)) → mark(01)
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active(quote(s(z0))) → mark(s1(quote(z0)))
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active(quote(dbl(z0))) → mark(dbl1(z0))
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active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
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active(dbl(z0)) → dbl(active(z0))
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active(dbls(z0)) → dbls(active(z0))
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active(sel(z0, z1)) → sel(active(z0), z1)
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active(sel(z0, z1)) → sel(z0, active(z1))
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active(indx(z0, z1)) → indx(active(z0), z1)
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active(dbl1(z0)) → dbl1(active(z0))
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active(s1(z0)) → s1(active(z0))
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active(sel1(z0, z1)) → sel1(active(z0), z1)
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active(sel1(z0, z1)) → sel1(z0, active(z1))
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active(quote(z0)) → quote(active(z0))
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dbl(mark(z0)) → mark(dbl(z0))
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dbl(ok(z0)) → ok(dbl(z0))
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dbls(mark(z0)) → mark(dbls(z0))
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dbls(ok(z0)) → ok(dbls(z0))
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sel(mark(z0), z1) → mark(sel(z0, z1))
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sel(z0, mark(z1)) → mark(sel(z0, z1))
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sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
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indx(mark(z0), z1) → mark(indx(z0, z1))
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indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
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dbl1(mark(z0)) → mark(dbl1(z0))
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dbl1(ok(z0)) → ok(dbl1(z0))
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s1(mark(z0)) → mark(s1(z0))
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s1(ok(z0)) → ok(s1(z0))
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sel1(mark(z0), z1) → mark(sel1(z0, z1))
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sel1(z0, mark(z1)) → mark(sel1(z0, z1))
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sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
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quote(mark(z0)) → mark(quote(z0))
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quote(ok(z0)) → ok(quote(z0))
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proper(dbl(z0)) → dbl(proper(z0))
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proper(0) → ok(0)
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proper(s(z0)) → s(proper(z0))
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proper(dbls(z0)) → dbls(proper(z0))
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proper(nil) → ok(nil)
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proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
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proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
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proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
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proper(from(z0)) → from(proper(z0))
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proper(dbl1(z0)) → dbl1(proper(z0))
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proper(01) → ok(01)
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proper(s1(z0)) → s1(proper(z0))
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proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
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proper(quote(z0)) → quote(proper(z0))
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s(ok(z0)) → ok(s(z0))
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cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
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from(ok(z0)) → ok(from(z0))
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top(mark(z0)) → top(proper(z0))
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top(ok(z0)) → top(active(z0))
Tuples:
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
S tuples:
QUOTE(ok(z0)) → c44(QUOTE(z0))
K tuples:
DBL1(ok(z0)) → c37(DBL1(z0))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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S(ok(z0)) → c59(S(z0))
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DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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S1(mark(z0)) → c38(S1(z0))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, S, CONS, FROM
Compound Symbols:
c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c59, c60, c61
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(135) CdtPolyRedPairProof (UPPER BOUND (ADD(O(n^1))) transformation)
Found a reduction pair which oriented the following tuples strictly. Hence they can be removed from S.
QUOTE(ok(z0)) → c44(QUOTE(z0))
We considered the (Usable) Rules:none
And the Tuples:
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
The order we found is given by the following interpretation:
Polynomial interpretation :
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POL(CONS(x1, x2)) = [5]x1 + [5]x2
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POL(DBL(x1)) = [5]x1
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POL(DBL1(x1)) = [3]x1
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POL(DBLS(x1)) = [5]x1
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POL(FROM(x1)) = [5]x1
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POL(INDX(x1, x2)) = [3]x1 + [5]x2
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POL(QUOTE(x1)) = [5]x1
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POL(S(x1)) = [5]x1
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POL(S1(x1)) = [5]x1
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POL(SEL(x1, x2)) = [5]x1 + [3]x2
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POL(SEL1(x1, x2)) = [5]x1 + [5]x2
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POL(c27(x1)) = x1
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POL(c28(x1)) = x1
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POL(c29(x1)) = x1
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POL(c30(x1)) = x1
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POL(c31(x1)) = x1
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POL(c32(x1)) = x1
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POL(c33(x1)) = x1
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POL(c34(x1)) = x1
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POL(c35(x1)) = x1
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POL(c36(x1)) = x1
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POL(c37(x1)) = x1
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POL(c38(x1)) = x1
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POL(c39(x1)) = x1
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POL(c40(x1)) = x1
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POL(c41(x1)) = x1
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POL(c42(x1)) = x1
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POL(c43(x1)) = x1
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POL(c44(x1)) = x1
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POL(c59(x1)) = x1
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POL(c60(x1)) = x1
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POL(c61(x1)) = x1
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POL(mark(x1)) = x1
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POL(ok(x1)) = [1] + x1
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(136) Obligation:
Complexity Dependency Tuples Problem
Rules:
active(dbl(0)) → mark(0)
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active(dbl(s(z0))) → mark(s(s(dbl(z0))))
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active(dbls(nil)) → mark(nil)
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active(dbls(cons(z0, z1))) → mark(cons(dbl(z0), dbls(z1)))
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active(sel(0, cons(z0, z1))) → mark(z0)
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active(sel(s(z0), cons(z1, z2))) → mark(sel(z0, z2))
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active(indx(nil, z0)) → mark(nil)
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active(indx(cons(z0, z1), z2)) → mark(cons(sel(z0, z2), indx(z1, z2)))
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active(from(z0)) → mark(cons(z0, from(s(z0))))
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active(dbl1(0)) → mark(01)
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active(dbl1(s(z0))) → mark(s1(s1(dbl1(z0))))
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active(sel1(0, cons(z0, z1))) → mark(z0)
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active(sel1(s(z0), cons(z1, z2))) → mark(sel1(z0, z2))
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active(quote(0)) → mark(01)
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active(quote(s(z0))) → mark(s1(quote(z0)))
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active(quote(dbl(z0))) → mark(dbl1(z0))
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active(quote(sel(z0, z1))) → mark(sel1(z0, z1))
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active(dbl(z0)) → dbl(active(z0))
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active(dbls(z0)) → dbls(active(z0))
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active(sel(z0, z1)) → sel(active(z0), z1)
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active(sel(z0, z1)) → sel(z0, active(z1))
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active(indx(z0, z1)) → indx(active(z0), z1)
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active(dbl1(z0)) → dbl1(active(z0))
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active(s1(z0)) → s1(active(z0))
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active(sel1(z0, z1)) → sel1(active(z0), z1)
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active(sel1(z0, z1)) → sel1(z0, active(z1))
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active(quote(z0)) → quote(active(z0))
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dbl(mark(z0)) → mark(dbl(z0))
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dbl(ok(z0)) → ok(dbl(z0))
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dbls(mark(z0)) → mark(dbls(z0))
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dbls(ok(z0)) → ok(dbls(z0))
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sel(mark(z0), z1) → mark(sel(z0, z1))
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sel(z0, mark(z1)) → mark(sel(z0, z1))
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sel(ok(z0), ok(z1)) → ok(sel(z0, z1))
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indx(mark(z0), z1) → mark(indx(z0, z1))
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indx(ok(z0), ok(z1)) → ok(indx(z0, z1))
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dbl1(mark(z0)) → mark(dbl1(z0))
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dbl1(ok(z0)) → ok(dbl1(z0))
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s1(mark(z0)) → mark(s1(z0))
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s1(ok(z0)) → ok(s1(z0))
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sel1(mark(z0), z1) → mark(sel1(z0, z1))
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sel1(z0, mark(z1)) → mark(sel1(z0, z1))
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sel1(ok(z0), ok(z1)) → ok(sel1(z0, z1))
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quote(mark(z0)) → mark(quote(z0))
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quote(ok(z0)) → ok(quote(z0))
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proper(dbl(z0)) → dbl(proper(z0))
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proper(0) → ok(0)
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proper(s(z0)) → s(proper(z0))
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proper(dbls(z0)) → dbls(proper(z0))
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proper(nil) → ok(nil)
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proper(cons(z0, z1)) → cons(proper(z0), proper(z1))
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proper(sel(z0, z1)) → sel(proper(z0), proper(z1))
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proper(indx(z0, z1)) → indx(proper(z0), proper(z1))
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proper(from(z0)) → from(proper(z0))
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proper(dbl1(z0)) → dbl1(proper(z0))
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proper(01) → ok(01)
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proper(s1(z0)) → s1(proper(z0))
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proper(sel1(z0, z1)) → sel1(proper(z0), proper(z1))
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proper(quote(z0)) → quote(proper(z0))
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s(ok(z0)) → ok(s(z0))
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cons(ok(z0), ok(z1)) → ok(cons(z0, z1))
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from(ok(z0)) → ok(from(z0))
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top(mark(z0)) → top(proper(z0))
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top(ok(z0)) → top(active(z0))
Tuples:
DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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DBL1(ok(z0)) → c37(DBL1(z0))
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S1(mark(z0)) → c38(S1(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
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S(ok(z0)) → c59(S(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
S tuples:none
K tuples:
DBL1(ok(z0)) → c37(DBL1(z0))
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INDX(ok(z0), ok(z1)) → c35(INDX(z0, z1))
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SEL(mark(z0), z1) → c31(SEL(z0, z1))
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INDX(mark(z0), z1) → c34(INDX(z0, z1))
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S(ok(z0)) → c59(S(z0))
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DBL(mark(z0)) → c27(DBL(z0))
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DBL(ok(z0)) → c28(DBL(z0))
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CONS(ok(z0), ok(z1)) → c60(CONS(z0, z1))
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FROM(ok(z0)) → c61(FROM(z0))
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SEL1(z0, mark(z1)) → c41(SEL1(z0, z1))
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DBL1(mark(z0)) → c36(DBL1(z0))
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SEL1(mark(z0), z1) → c40(SEL1(z0, z1))
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SEL1(ok(z0), ok(z1)) → c42(SEL1(z0, z1))
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DBLS(mark(z0)) → c29(DBLS(z0))
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DBLS(ok(z0)) → c30(DBLS(z0))
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S1(mark(z0)) → c38(S1(z0))
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QUOTE(mark(z0)) → c43(QUOTE(z0))
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S1(ok(z0)) → c39(S1(z0))
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SEL(z0, mark(z1)) → c32(SEL(z0, z1))
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SEL(ok(z0), ok(z1)) → c33(SEL(z0, z1))
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QUOTE(ok(z0)) → c44(QUOTE(z0))
Defined Rule Symbols:
active, dbl, dbls, sel, indx, dbl1, s1, sel1, quote, proper, s, cons, from, top
Defined Pair Symbols:
DBL, DBLS, SEL, INDX, DBL1, S1, SEL1, QUOTE, S, CONS, FROM
Compound Symbols:
c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c59, c60, c61
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(137) SIsEmptyProof (BOTH BOUNDS(ID, ID) transformation)
The set S is empty
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(138) BOUNDS(O(1), O(1))
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