MAYBE 761.75/297.10 MAYBE 761.75/297.10 761.75/297.10 We are left with following problem, upon which TcT provides the 761.75/297.10 certificate MAYBE. 761.75/297.10 761.75/297.10 Strict Trs: 761.75/297.10 { active(U11(X1, X2)) -> U11(active(X1), X2) 761.75/297.10 , active(U11(tt(), V2)) -> mark(U12(isNat(V2))) 761.75/297.10 , active(U12(X)) -> U12(active(X)) 761.75/297.10 , active(U12(tt())) -> mark(tt()) 761.75/297.10 , active(isNat(s(V1))) -> mark(U21(isNat(V1))) 761.75/297.10 , active(isNat(plus(V1, V2))) -> mark(U11(isNat(V1), V2)) 761.75/297.10 , active(isNat(0())) -> mark(tt()) 761.75/297.10 , active(isNat(x(V1, V2))) -> mark(U31(isNat(V1), V2)) 761.75/297.10 , active(U21(X)) -> U21(active(X)) 761.75/297.10 , active(U21(tt())) -> mark(tt()) 761.75/297.10 , active(U31(X1, X2)) -> U31(active(X1), X2) 761.75/297.10 , active(U31(tt(), V2)) -> mark(U32(isNat(V2))) 761.75/297.10 , active(U32(X)) -> U32(active(X)) 761.75/297.10 , active(U32(tt())) -> mark(tt()) 761.75/297.10 , active(U41(X1, X2)) -> U41(active(X1), X2) 761.75/297.10 , active(U41(tt(), N)) -> mark(N) 761.75/297.10 , active(U51(X1, X2, X3)) -> U51(active(X1), X2, X3) 761.75/297.10 , active(U51(tt(), M, N)) -> mark(U52(isNat(N), M, N)) 761.75/297.10 , active(U52(X1, X2, X3)) -> U52(active(X1), X2, X3) 761.75/297.10 , active(U52(tt(), M, N)) -> mark(s(plus(N, M))) 761.75/297.10 , active(s(X)) -> s(active(X)) 761.75/297.10 , active(plus(X1, X2)) -> plus(X1, active(X2)) 761.75/297.10 , active(plus(X1, X2)) -> plus(active(X1), X2) 761.75/297.10 , active(plus(N, s(M))) -> mark(U51(isNat(M), M, N)) 761.75/297.10 , active(plus(N, 0())) -> mark(U41(isNat(N), N)) 761.75/297.10 , active(U61(X)) -> U61(active(X)) 761.75/297.10 , active(U61(tt())) -> mark(0()) 761.75/297.10 , active(U71(X1, X2, X3)) -> U71(active(X1), X2, X3) 761.75/297.10 , active(U71(tt(), M, N)) -> mark(U72(isNat(N), M, N)) 761.75/297.10 , active(U72(X1, X2, X3)) -> U72(active(X1), X2, X3) 761.75/297.10 , active(U72(tt(), M, N)) -> mark(plus(x(N, M), N)) 761.75/297.10 , active(x(X1, X2)) -> x(X1, active(X2)) 761.75/297.10 , active(x(X1, X2)) -> x(active(X1), X2) 761.75/297.10 , active(x(N, s(M))) -> mark(U71(isNat(M), M, N)) 761.75/297.10 , active(x(N, 0())) -> mark(U61(isNat(N))) 761.75/297.10 , U11(mark(X1), X2) -> mark(U11(X1, X2)) 761.75/297.10 , U11(ok(X1), ok(X2)) -> ok(U11(X1, X2)) 761.75/297.10 , U12(mark(X)) -> mark(U12(X)) 761.75/297.10 , U12(ok(X)) -> ok(U12(X)) 761.75/297.10 , isNat(ok(X)) -> ok(isNat(X)) 761.75/297.10 , U21(mark(X)) -> mark(U21(X)) 761.75/297.10 , U21(ok(X)) -> ok(U21(X)) 761.75/297.10 , U31(mark(X1), X2) -> mark(U31(X1, X2)) 761.75/297.10 , U31(ok(X1), ok(X2)) -> ok(U31(X1, X2)) 761.75/297.10 , U32(mark(X)) -> mark(U32(X)) 761.75/297.10 , U32(ok(X)) -> ok(U32(X)) 761.75/297.10 , U41(mark(X1), X2) -> mark(U41(X1, X2)) 761.75/297.10 , U41(ok(X1), ok(X2)) -> ok(U41(X1, X2)) 761.75/297.10 , U51(mark(X1), X2, X3) -> mark(U51(X1, X2, X3)) 761.75/297.10 , U51(ok(X1), ok(X2), ok(X3)) -> ok(U51(X1, X2, X3)) 761.75/297.10 , U52(mark(X1), X2, X3) -> mark(U52(X1, X2, X3)) 761.75/297.10 , U52(ok(X1), ok(X2), ok(X3)) -> ok(U52(X1, X2, X3)) 761.75/297.10 , s(mark(X)) -> mark(s(X)) 761.75/297.10 , s(ok(X)) -> ok(s(X)) 761.75/297.10 , plus(X1, mark(X2)) -> mark(plus(X1, X2)) 761.75/297.10 , plus(mark(X1), X2) -> mark(plus(X1, X2)) 761.75/297.10 , plus(ok(X1), ok(X2)) -> ok(plus(X1, X2)) 761.75/297.10 , U61(mark(X)) -> mark(U61(X)) 761.75/297.10 , U61(ok(X)) -> ok(U61(X)) 761.75/297.10 , U71(mark(X1), X2, X3) -> mark(U71(X1, X2, X3)) 761.75/297.10 , U71(ok(X1), ok(X2), ok(X3)) -> ok(U71(X1, X2, X3)) 761.75/297.10 , U72(mark(X1), X2, X3) -> mark(U72(X1, X2, X3)) 761.75/297.10 , U72(ok(X1), ok(X2), ok(X3)) -> ok(U72(X1, X2, X3)) 761.75/297.10 , x(X1, mark(X2)) -> mark(x(X1, X2)) 761.75/297.10 , x(mark(X1), X2) -> mark(x(X1, X2)) 761.75/297.10 , x(ok(X1), ok(X2)) -> ok(x(X1, X2)) 761.75/297.10 , proper(U11(X1, X2)) -> U11(proper(X1), proper(X2)) 761.75/297.10 , proper(tt()) -> ok(tt()) 761.75/297.10 , proper(U12(X)) -> U12(proper(X)) 761.75/297.10 , proper(isNat(X)) -> isNat(proper(X)) 761.75/297.10 , proper(U21(X)) -> U21(proper(X)) 761.75/297.10 , proper(U31(X1, X2)) -> U31(proper(X1), proper(X2)) 761.75/297.10 , proper(U32(X)) -> U32(proper(X)) 761.75/297.10 , proper(U41(X1, X2)) -> U41(proper(X1), proper(X2)) 761.75/297.10 , proper(U51(X1, X2, X3)) -> 761.75/297.10 U51(proper(X1), proper(X2), proper(X3)) 761.75/297.10 , proper(U52(X1, X2, X3)) -> 761.75/297.10 U52(proper(X1), proper(X2), proper(X3)) 761.75/297.10 , proper(s(X)) -> s(proper(X)) 761.75/297.10 , proper(plus(X1, X2)) -> plus(proper(X1), proper(X2)) 761.75/297.10 , proper(U61(X)) -> U61(proper(X)) 761.75/297.10 , proper(0()) -> ok(0()) 761.75/297.10 , proper(U71(X1, X2, X3)) -> 761.75/297.10 U71(proper(X1), proper(X2), proper(X3)) 761.75/297.10 , proper(U72(X1, X2, X3)) -> 761.75/297.10 U72(proper(X1), proper(X2), proper(X3)) 761.75/297.10 , proper(x(X1, X2)) -> x(proper(X1), proper(X2)) 761.75/297.10 , top(mark(X)) -> top(proper(X)) 761.75/297.10 , top(ok(X)) -> top(active(X)) } 761.75/297.10 Obligation: 761.75/297.10 innermost runtime complexity 761.75/297.10 Answer: 761.75/297.10 MAYBE 761.75/297.10 761.75/297.10 None of the processors succeeded. 761.75/297.10 761.75/297.10 Details of failed attempt(s): 761.75/297.10 ----------------------------- 761.75/297.10 1) 'empty' failed due to the following reason: 761.75/297.10 761.75/297.10 Empty strict component of the problem is NOT empty. 761.75/297.10 761.75/297.10 2) 'Best' failed due to the following reason: 761.75/297.10 761.75/297.10 None of the processors succeeded. 761.75/297.10 761.75/297.10 Details of failed attempt(s): 761.75/297.10 ----------------------------- 761.75/297.10 1) 'With Problem ... (timeout of 297 seconds)' failed due to the 761.75/297.10 following reason: 761.75/297.10 761.75/297.10 Computation stopped due to timeout after 297.0 seconds. 761.75/297.10 761.75/297.10 2) 'Best' failed due to the following reason: 761.75/297.10 761.75/297.10 None of the processors succeeded. 761.75/297.10 761.75/297.10 Details of failed attempt(s): 761.75/297.10 ----------------------------- 761.75/297.10 1) 'With Problem ... (timeout of 148 seconds) (timeout of 297 761.75/297.10 seconds)' failed due to the following reason: 761.75/297.10 761.75/297.10 Computation stopped due to timeout after 148.0 seconds. 761.75/297.10 761.75/297.10 2) 'Best' failed due to the following reason: 761.75/297.10 761.75/297.10 None of the processors succeeded. 761.75/297.10 761.75/297.10 Details of failed attempt(s): 761.75/297.10 ----------------------------- 761.75/297.10 1) 'Polynomial Path Order (PS) (timeout of 297 seconds)' failed due 761.75/297.10 to the following reason: 761.75/297.10 761.75/297.10 The input cannot be shown compatible 761.75/297.10 761.75/297.10 2) 'bsearch-popstar (timeout of 297 seconds)' failed due to the 761.75/297.10 following reason: 761.75/297.10 761.75/297.10 The input cannot be shown compatible 761.75/297.10 761.75/297.10 761.75/297.10 3) 'Fastest (timeout of 24 seconds) (timeout of 297 seconds)' 761.75/297.10 failed due to the following reason: 761.75/297.10 761.75/297.10 None of the processors succeeded. 761.75/297.10 761.75/297.10 Details of failed attempt(s): 761.75/297.10 ----------------------------- 761.75/297.10 1) 'Bounds with perSymbol-enrichment and initial automaton 'match'' 761.75/297.10 failed due to the following reason: 761.75/297.10 761.75/297.10 match-boundness of the problem could not be verified. 761.75/297.10 761.75/297.10 2) 'Bounds with minimal-enrichment and initial automaton 'match'' 761.75/297.10 failed due to the following reason: 761.75/297.10 761.75/297.10 match-boundness of the problem could not be verified. 761.75/297.10 761.75/297.10 761.75/297.10 761.75/297.10 761.75/297.10 761.75/297.10 Arrrr.. 761.75/297.16 EOF