MAYBE 905.32/297.19 MAYBE 905.32/297.19 905.32/297.19 We are left with following problem, upon which TcT provides the 905.32/297.19 certificate MAYBE. 905.32/297.19 905.32/297.19 Strict Trs: 905.32/297.19 { active(zeros()) -> mark(cons(0(), zeros())) 905.32/297.19 , active(cons(X1, X2)) -> cons(active(X1), X2) 905.32/297.19 , active(U101(X1, X2, X3)) -> U101(active(X1), X2, X3) 905.32/297.19 , active(U101(tt(), V1, V2)) -> mark(U102(isNatKind(V1), V1, V2)) 905.32/297.19 , active(U102(X1, X2, X3)) -> U102(active(X1), X2, X3) 905.32/297.19 , active(U102(tt(), V1, V2)) -> 905.32/297.19 mark(U103(isNatIListKind(V2), V1, V2)) 905.32/297.19 , active(isNatKind(0())) -> mark(tt()) 905.32/297.19 , active(isNatKind(s(V1))) -> mark(U81(isNatKind(V1))) 905.32/297.19 , active(isNatKind(length(V1))) -> mark(U71(isNatIListKind(V1))) 905.32/297.19 , active(U103(X1, X2, X3)) -> U103(active(X1), X2, X3) 905.32/297.19 , active(U103(tt(), V1, V2)) -> 905.32/297.19 mark(U104(isNatIListKind(V2), V1, V2)) 905.32/297.19 , active(isNatIListKind(zeros())) -> mark(tt()) 905.32/297.19 , active(isNatIListKind(cons(V1, V2))) -> 905.32/297.19 mark(U51(isNatKind(V1), V2)) 905.32/297.19 , active(isNatIListKind(nil())) -> mark(tt()) 905.32/297.19 , active(isNatIListKind(take(V1, V2))) -> 905.32/297.19 mark(U61(isNatKind(V1), V2)) 905.32/297.19 , active(U104(X1, X2, X3)) -> U104(active(X1), X2, X3) 905.32/297.19 , active(U104(tt(), V1, V2)) -> mark(U105(isNat(V1), V2)) 905.32/297.19 , active(U105(X1, X2)) -> U105(active(X1), X2) 905.32/297.19 , active(U105(tt(), V2)) -> mark(U106(isNatIList(V2))) 905.32/297.19 , active(isNat(0())) -> mark(tt()) 905.32/297.19 , active(isNat(s(V1))) -> mark(U21(isNatKind(V1), V1)) 905.32/297.19 , active(isNat(length(V1))) -> mark(U11(isNatIListKind(V1), V1)) 905.32/297.19 , active(U106(X)) -> U106(active(X)) 905.32/297.19 , active(U106(tt())) -> mark(tt()) 905.32/297.19 , active(isNatIList(V)) -> mark(U31(isNatIListKind(V), V)) 905.32/297.19 , active(isNatIList(zeros())) -> mark(tt()) 905.32/297.19 , active(isNatIList(cons(V1, V2))) -> 905.32/297.19 mark(U41(isNatKind(V1), V1, V2)) 905.32/297.19 , active(U11(X1, X2)) -> U11(active(X1), X2) 905.32/297.19 , active(U11(tt(), V1)) -> mark(U12(isNatIListKind(V1), V1)) 905.32/297.19 , active(U12(X1, X2)) -> U12(active(X1), X2) 905.32/297.19 , active(U12(tt(), V1)) -> mark(U13(isNatList(V1))) 905.32/297.19 , active(U111(X1, X2, X3)) -> U111(active(X1), X2, X3) 905.32/297.19 , active(U111(tt(), L, N)) -> mark(U112(isNatIListKind(L), L, N)) 905.32/297.19 , active(U112(X1, X2, X3)) -> U112(active(X1), X2, X3) 905.32/297.19 , active(U112(tt(), L, N)) -> mark(U113(isNat(N), L, N)) 905.32/297.19 , active(U113(X1, X2, X3)) -> U113(active(X1), X2, X3) 905.32/297.19 , active(U113(tt(), L, N)) -> mark(U114(isNatKind(N), L)) 905.32/297.19 , active(U114(X1, X2)) -> U114(active(X1), X2) 905.32/297.19 , active(U114(tt(), L)) -> mark(s(length(L))) 905.32/297.19 , active(s(X)) -> s(active(X)) 905.32/297.19 , active(length(X)) -> length(active(X)) 905.32/297.19 , active(length(cons(N, L))) -> mark(U111(isNatList(L), L, N)) 905.32/297.19 , active(length(nil())) -> mark(0()) 905.32/297.19 , active(U13(X)) -> U13(active(X)) 905.32/297.19 , active(U13(tt())) -> mark(tt()) 905.32/297.19 , active(isNatList(cons(V1, V2))) -> 905.32/297.19 mark(U91(isNatKind(V1), V1, V2)) 905.32/297.19 , active(isNatList(nil())) -> mark(tt()) 905.32/297.19 , active(isNatList(take(V1, V2))) -> 905.32/297.19 mark(U101(isNatKind(V1), V1, V2)) 905.32/297.19 , active(U121(X1, X2)) -> U121(active(X1), X2) 905.32/297.19 , active(U121(tt(), IL)) -> mark(U122(isNatIListKind(IL))) 905.32/297.19 , active(U122(X)) -> U122(active(X)) 905.32/297.19 , active(U122(tt())) -> mark(nil()) 905.32/297.19 , active(U131(X1, X2, X3, X4)) -> U131(active(X1), X2, X3, X4) 905.32/297.19 , active(U131(tt(), IL, M, N)) -> 905.32/297.19 mark(U132(isNatIListKind(IL), IL, M, N)) 905.32/297.19 , active(U132(X1, X2, X3, X4)) -> U132(active(X1), X2, X3, X4) 905.32/297.19 , active(U132(tt(), IL, M, N)) -> mark(U133(isNat(M), IL, M, N)) 905.32/297.19 , active(U133(X1, X2, X3, X4)) -> U133(active(X1), X2, X3, X4) 905.32/297.19 , active(U133(tt(), IL, M, N)) -> 905.32/297.19 mark(U134(isNatKind(M), IL, M, N)) 905.32/297.19 , active(U134(X1, X2, X3, X4)) -> U134(active(X1), X2, X3, X4) 905.32/297.19 , active(U134(tt(), IL, M, N)) -> mark(U135(isNat(N), IL, M, N)) 905.32/297.19 , active(U135(X1, X2, X3, X4)) -> U135(active(X1), X2, X3, X4) 905.32/297.19 , active(U135(tt(), IL, M, N)) -> 905.32/297.19 mark(U136(isNatKind(N), IL, M, N)) 905.32/297.19 , active(U136(X1, X2, X3, X4)) -> U136(active(X1), X2, X3, X4) 905.32/297.19 , active(U136(tt(), IL, M, N)) -> mark(cons(N, take(M, IL))) 905.32/297.19 , active(take(X1, X2)) -> take(X1, active(X2)) 905.32/297.19 , active(take(X1, X2)) -> take(active(X1), X2) 905.32/297.19 , active(take(0(), IL)) -> mark(U121(isNatIList(IL), IL)) 905.32/297.19 , active(take(s(M), cons(N, IL))) -> 905.32/297.19 mark(U131(isNatIList(IL), IL, M, N)) 905.32/297.19 , active(U21(X1, X2)) -> U21(active(X1), X2) 905.32/297.19 , active(U21(tt(), V1)) -> mark(U22(isNatKind(V1), V1)) 905.32/297.19 , active(U22(X1, X2)) -> U22(active(X1), X2) 905.32/297.19 , active(U22(tt(), V1)) -> mark(U23(isNat(V1))) 905.32/297.19 , active(U23(X)) -> U23(active(X)) 905.32/297.19 , active(U23(tt())) -> mark(tt()) 905.32/297.19 , active(U31(X1, X2)) -> U31(active(X1), X2) 905.32/297.19 , active(U31(tt(), V)) -> mark(U32(isNatIListKind(V), V)) 905.32/297.19 , active(U32(X1, X2)) -> U32(active(X1), X2) 905.32/297.19 , active(U32(tt(), V)) -> mark(U33(isNatList(V))) 905.32/297.19 , active(U33(X)) -> U33(active(X)) 905.32/297.19 , active(U33(tt())) -> mark(tt()) 905.32/297.19 , active(U41(X1, X2, X3)) -> U41(active(X1), X2, X3) 905.32/297.19 , active(U41(tt(), V1, V2)) -> mark(U42(isNatKind(V1), V1, V2)) 905.32/297.19 , active(U42(X1, X2, X3)) -> U42(active(X1), X2, X3) 905.32/297.19 , active(U42(tt(), V1, V2)) -> 905.32/297.19 mark(U43(isNatIListKind(V2), V1, V2)) 905.32/297.19 , active(U43(X1, X2, X3)) -> U43(active(X1), X2, X3) 905.32/297.19 , active(U43(tt(), V1, V2)) -> 905.32/297.19 mark(U44(isNatIListKind(V2), V1, V2)) 905.32/297.19 , active(U44(X1, X2, X3)) -> U44(active(X1), X2, X3) 905.32/297.19 , active(U44(tt(), V1, V2)) -> mark(U45(isNat(V1), V2)) 905.32/297.19 , active(U45(X1, X2)) -> U45(active(X1), X2) 905.32/297.19 , active(U45(tt(), V2)) -> mark(U46(isNatIList(V2))) 905.32/297.19 , active(U46(X)) -> U46(active(X)) 905.32/297.19 , active(U46(tt())) -> mark(tt()) 905.32/297.19 , active(U51(X1, X2)) -> U51(active(X1), X2) 905.32/297.19 , active(U51(tt(), V2)) -> mark(U52(isNatIListKind(V2))) 905.32/297.19 , active(U52(X)) -> U52(active(X)) 905.32/297.19 , active(U52(tt())) -> mark(tt()) 905.32/297.19 , active(U61(X1, X2)) -> U61(active(X1), X2) 905.32/297.19 , active(U61(tt(), V2)) -> mark(U62(isNatIListKind(V2))) 905.32/297.19 , active(U62(X)) -> U62(active(X)) 905.32/297.19 , active(U62(tt())) -> mark(tt()) 905.32/297.19 , active(U71(X)) -> U71(active(X)) 905.32/297.19 , active(U71(tt())) -> mark(tt()) 905.32/297.19 , active(U81(X)) -> U81(active(X)) 905.32/297.19 , active(U81(tt())) -> mark(tt()) 905.32/297.19 , active(U91(X1, X2, X3)) -> U91(active(X1), X2, X3) 905.32/297.19 , active(U91(tt(), V1, V2)) -> mark(U92(isNatKind(V1), V1, V2)) 905.32/297.19 , active(U92(X1, X2, X3)) -> U92(active(X1), X2, X3) 905.32/297.19 , active(U92(tt(), V1, V2)) -> 905.32/297.19 mark(U93(isNatIListKind(V2), V1, V2)) 905.32/297.19 , active(U93(X1, X2, X3)) -> U93(active(X1), X2, X3) 905.32/297.19 , active(U93(tt(), V1, V2)) -> 905.32/297.19 mark(U94(isNatIListKind(V2), V1, V2)) 905.32/297.19 , active(U94(X1, X2, X3)) -> U94(active(X1), X2, X3) 905.32/297.19 , active(U94(tt(), V1, V2)) -> mark(U95(isNat(V1), V2)) 905.32/297.19 , active(U95(X1, X2)) -> U95(active(X1), X2) 905.32/297.19 , active(U95(tt(), V2)) -> mark(U96(isNatList(V2))) 905.32/297.19 , active(U96(X)) -> U96(active(X)) 905.32/297.19 , active(U96(tt())) -> mark(tt()) 905.32/297.19 , cons(mark(X1), X2) -> mark(cons(X1, X2)) 905.32/297.19 , cons(ok(X1), ok(X2)) -> ok(cons(X1, X2)) 905.32/297.19 , U101(mark(X1), X2, X3) -> mark(U101(X1, X2, X3)) 905.32/297.19 , U101(ok(X1), ok(X2), ok(X3)) -> ok(U101(X1, X2, X3)) 905.32/297.19 , U102(mark(X1), X2, X3) -> mark(U102(X1, X2, X3)) 905.32/297.19 , U102(ok(X1), ok(X2), ok(X3)) -> ok(U102(X1, X2, X3)) 905.32/297.19 , isNatKind(ok(X)) -> ok(isNatKind(X)) 905.32/297.19 , U103(mark(X1), X2, X3) -> mark(U103(X1, X2, X3)) 905.32/297.19 , U103(ok(X1), ok(X2), ok(X3)) -> ok(U103(X1, X2, X3)) 905.32/297.19 , isNatIListKind(ok(X)) -> ok(isNatIListKind(X)) 905.32/297.19 , U104(mark(X1), X2, X3) -> mark(U104(X1, X2, X3)) 905.32/297.19 , U104(ok(X1), ok(X2), ok(X3)) -> ok(U104(X1, X2, X3)) 905.32/297.19 , U105(mark(X1), X2) -> mark(U105(X1, X2)) 905.32/297.19 , U105(ok(X1), ok(X2)) -> ok(U105(X1, X2)) 905.32/297.19 , isNat(ok(X)) -> ok(isNat(X)) 905.32/297.19 , U106(mark(X)) -> mark(U106(X)) 905.32/297.19 , U106(ok(X)) -> ok(U106(X)) 905.32/297.19 , isNatIList(ok(X)) -> ok(isNatIList(X)) 905.32/297.19 , U11(mark(X1), X2) -> mark(U11(X1, X2)) 905.32/297.19 , U11(ok(X1), ok(X2)) -> ok(U11(X1, X2)) 905.32/297.19 , U12(mark(X1), X2) -> mark(U12(X1, X2)) 905.32/297.19 , U12(ok(X1), ok(X2)) -> ok(U12(X1, X2)) 905.32/297.19 , U111(mark(X1), X2, X3) -> mark(U111(X1, X2, X3)) 905.32/297.19 , U111(ok(X1), ok(X2), ok(X3)) -> ok(U111(X1, X2, X3)) 905.32/297.19 , U112(mark(X1), X2, X3) -> mark(U112(X1, X2, X3)) 905.32/297.19 , U112(ok(X1), ok(X2), ok(X3)) -> ok(U112(X1, X2, X3)) 905.32/297.19 , U113(mark(X1), X2, X3) -> mark(U113(X1, X2, X3)) 905.32/297.19 , U113(ok(X1), ok(X2), ok(X3)) -> ok(U113(X1, X2, X3)) 905.32/297.19 , U114(mark(X1), X2) -> mark(U114(X1, X2)) 905.32/297.19 , U114(ok(X1), ok(X2)) -> ok(U114(X1, X2)) 905.32/297.19 , s(mark(X)) -> mark(s(X)) 905.32/297.19 , s(ok(X)) -> ok(s(X)) 905.32/297.19 , length(mark(X)) -> mark(length(X)) 905.32/297.19 , length(ok(X)) -> ok(length(X)) 905.32/297.19 , U13(mark(X)) -> mark(U13(X)) 905.32/297.19 , U13(ok(X)) -> ok(U13(X)) 905.32/297.19 , isNatList(ok(X)) -> ok(isNatList(X)) 905.32/297.19 , U121(mark(X1), X2) -> mark(U121(X1, X2)) 905.65/297.20 , U121(ok(X1), ok(X2)) -> ok(U121(X1, X2)) 905.65/297.20 , U122(mark(X)) -> mark(U122(X)) 905.65/297.20 , U122(ok(X)) -> ok(U122(X)) 905.65/297.20 , U131(mark(X1), X2, X3, X4) -> mark(U131(X1, X2, X3, X4)) 905.65/297.20 , U131(ok(X1), ok(X2), ok(X3), ok(X4)) -> ok(U131(X1, X2, X3, X4)) 905.65/297.20 , U132(mark(X1), X2, X3, X4) -> mark(U132(X1, X2, X3, X4)) 905.65/297.20 , U132(ok(X1), ok(X2), ok(X3), ok(X4)) -> ok(U132(X1, X2, X3, X4)) 905.65/297.20 , U133(mark(X1), X2, X3, X4) -> mark(U133(X1, X2, X3, X4)) 905.65/297.20 , U133(ok(X1), ok(X2), ok(X3), ok(X4)) -> ok(U133(X1, X2, X3, X4)) 905.65/297.20 , U134(mark(X1), X2, X3, X4) -> mark(U134(X1, X2, X3, X4)) 905.65/297.20 , U134(ok(X1), ok(X2), ok(X3), ok(X4)) -> ok(U134(X1, X2, X3, X4)) 905.65/297.20 , U135(mark(X1), X2, X3, X4) -> mark(U135(X1, X2, X3, X4)) 905.65/297.20 , U135(ok(X1), ok(X2), ok(X3), ok(X4)) -> ok(U135(X1, X2, X3, X4)) 905.65/297.20 , U136(mark(X1), X2, X3, X4) -> mark(U136(X1, X2, X3, X4)) 905.65/297.20 , U136(ok(X1), ok(X2), ok(X3), ok(X4)) -> ok(U136(X1, X2, X3, X4)) 905.65/297.20 , take(X1, mark(X2)) -> mark(take(X1, X2)) 905.65/297.20 , take(mark(X1), X2) -> mark(take(X1, X2)) 905.65/297.20 , take(ok(X1), ok(X2)) -> ok(take(X1, X2)) 905.65/297.20 , U21(mark(X1), X2) -> mark(U21(X1, X2)) 905.65/297.20 , U21(ok(X1), ok(X2)) -> ok(U21(X1, X2)) 905.65/297.20 , U22(mark(X1), X2) -> mark(U22(X1, X2)) 905.65/297.20 , U22(ok(X1), ok(X2)) -> ok(U22(X1, X2)) 905.65/297.20 , U23(mark(X)) -> mark(U23(X)) 905.65/297.20 , U23(ok(X)) -> ok(U23(X)) 905.65/297.20 , U31(mark(X1), X2) -> mark(U31(X1, X2)) 905.65/297.20 , U31(ok(X1), ok(X2)) -> ok(U31(X1, X2)) 905.65/297.20 , U32(mark(X1), X2) -> mark(U32(X1, X2)) 905.65/297.20 , U32(ok(X1), ok(X2)) -> ok(U32(X1, X2)) 905.65/297.20 , U33(mark(X)) -> mark(U33(X)) 905.65/297.20 , U33(ok(X)) -> ok(U33(X)) 905.65/297.20 , U41(mark(X1), X2, X3) -> mark(U41(X1, X2, X3)) 905.65/297.20 , U41(ok(X1), ok(X2), ok(X3)) -> ok(U41(X1, X2, X3)) 905.65/297.20 , U42(mark(X1), X2, X3) -> mark(U42(X1, X2, X3)) 905.65/297.20 , U42(ok(X1), ok(X2), ok(X3)) -> ok(U42(X1, X2, X3)) 905.65/297.20 , U43(mark(X1), X2, X3) -> mark(U43(X1, X2, X3)) 905.65/297.20 , U43(ok(X1), ok(X2), ok(X3)) -> ok(U43(X1, X2, X3)) 905.65/297.20 , U44(mark(X1), X2, X3) -> mark(U44(X1, X2, X3)) 905.65/297.20 , U44(ok(X1), ok(X2), ok(X3)) -> ok(U44(X1, X2, X3)) 905.65/297.20 , U45(mark(X1), X2) -> mark(U45(X1, X2)) 905.65/297.20 , U45(ok(X1), ok(X2)) -> ok(U45(X1, X2)) 905.65/297.20 , U46(mark(X)) -> mark(U46(X)) 905.65/297.20 , U46(ok(X)) -> ok(U46(X)) 905.65/297.20 , U51(mark(X1), X2) -> mark(U51(X1, X2)) 905.65/297.20 , U51(ok(X1), ok(X2)) -> ok(U51(X1, X2)) 905.65/297.20 , U52(mark(X)) -> mark(U52(X)) 905.65/297.20 , U52(ok(X)) -> ok(U52(X)) 905.65/297.20 , U61(mark(X1), X2) -> mark(U61(X1, X2)) 905.65/297.20 , U61(ok(X1), ok(X2)) -> ok(U61(X1, X2)) 905.65/297.20 , U62(mark(X)) -> mark(U62(X)) 905.65/297.20 , U62(ok(X)) -> ok(U62(X)) 905.65/297.20 , U71(mark(X)) -> mark(U71(X)) 905.65/297.20 , U71(ok(X)) -> ok(U71(X)) 905.65/297.20 , U81(mark(X)) -> mark(U81(X)) 905.65/297.20 , U81(ok(X)) -> ok(U81(X)) 905.65/297.20 , U91(mark(X1), X2, X3) -> mark(U91(X1, X2, X3)) 905.65/297.20 , U91(ok(X1), ok(X2), ok(X3)) -> ok(U91(X1, X2, X3)) 905.65/297.20 , U92(mark(X1), X2, X3) -> mark(U92(X1, X2, X3)) 905.65/297.20 , U92(ok(X1), ok(X2), ok(X3)) -> ok(U92(X1, X2, X3)) 905.65/297.20 , U93(mark(X1), X2, X3) -> mark(U93(X1, X2, X3)) 905.65/297.20 , U93(ok(X1), ok(X2), ok(X3)) -> ok(U93(X1, X2, X3)) 905.65/297.20 , U94(mark(X1), X2, X3) -> mark(U94(X1, X2, X3)) 905.65/297.20 , U94(ok(X1), ok(X2), ok(X3)) -> ok(U94(X1, X2, X3)) 905.65/297.20 , U95(mark(X1), X2) -> mark(U95(X1, X2)) 905.65/297.20 , U95(ok(X1), ok(X2)) -> ok(U95(X1, X2)) 905.65/297.20 , U96(mark(X)) -> mark(U96(X)) 905.65/297.20 , U96(ok(X)) -> ok(U96(X)) 905.65/297.20 , proper(zeros()) -> ok(zeros()) 905.65/297.20 , proper(cons(X1, X2)) -> cons(proper(X1), proper(X2)) 905.65/297.20 , proper(0()) -> ok(0()) 905.65/297.20 , proper(U101(X1, X2, X3)) -> 905.65/297.20 U101(proper(X1), proper(X2), proper(X3)) 905.65/297.20 , proper(tt()) -> ok(tt()) 905.65/297.20 , proper(U102(X1, X2, X3)) -> 905.65/297.20 U102(proper(X1), proper(X2), proper(X3)) 905.65/297.20 , proper(isNatKind(X)) -> isNatKind(proper(X)) 905.65/297.20 , proper(U103(X1, X2, X3)) -> 905.65/297.20 U103(proper(X1), proper(X2), proper(X3)) 905.65/297.20 , proper(isNatIListKind(X)) -> isNatIListKind(proper(X)) 905.65/297.20 , proper(U104(X1, X2, X3)) -> 905.65/297.20 U104(proper(X1), proper(X2), proper(X3)) 905.65/297.20 , proper(U105(X1, X2)) -> U105(proper(X1), proper(X2)) 905.65/297.20 , proper(isNat(X)) -> isNat(proper(X)) 905.65/297.20 , proper(U106(X)) -> U106(proper(X)) 905.65/297.20 , proper(isNatIList(X)) -> isNatIList(proper(X)) 905.65/297.20 , proper(U11(X1, X2)) -> U11(proper(X1), proper(X2)) 905.65/297.20 , proper(U12(X1, X2)) -> U12(proper(X1), proper(X2)) 905.65/297.20 , proper(U111(X1, X2, X3)) -> 905.65/297.20 U111(proper(X1), proper(X2), proper(X3)) 905.65/297.20 , proper(U112(X1, X2, X3)) -> 905.65/297.20 U112(proper(X1), proper(X2), proper(X3)) 905.65/297.20 , proper(U113(X1, X2, X3)) -> 905.65/297.20 U113(proper(X1), proper(X2), proper(X3)) 905.65/297.20 , proper(U114(X1, X2)) -> U114(proper(X1), proper(X2)) 905.65/297.20 , proper(s(X)) -> s(proper(X)) 905.65/297.20 , proper(length(X)) -> length(proper(X)) 905.65/297.20 , proper(U13(X)) -> U13(proper(X)) 905.65/297.20 , proper(isNatList(X)) -> isNatList(proper(X)) 905.65/297.20 , proper(U121(X1, X2)) -> U121(proper(X1), proper(X2)) 905.65/297.20 , proper(U122(X)) -> U122(proper(X)) 905.65/297.20 , proper(nil()) -> ok(nil()) 905.65/297.20 , proper(U131(X1, X2, X3, X4)) -> 905.65/297.20 U131(proper(X1), proper(X2), proper(X3), proper(X4)) 905.65/297.20 , proper(U132(X1, X2, X3, X4)) -> 905.65/297.20 U132(proper(X1), proper(X2), proper(X3), proper(X4)) 905.65/297.20 , proper(U133(X1, X2, X3, X4)) -> 905.65/297.20 U133(proper(X1), proper(X2), proper(X3), proper(X4)) 905.65/297.20 , proper(U134(X1, X2, X3, X4)) -> 905.65/297.20 U134(proper(X1), proper(X2), proper(X3), proper(X4)) 905.65/297.20 , proper(U135(X1, X2, X3, X4)) -> 905.65/297.20 U135(proper(X1), proper(X2), proper(X3), proper(X4)) 905.65/297.20 , proper(U136(X1, X2, X3, X4)) -> 905.65/297.20 U136(proper(X1), proper(X2), proper(X3), proper(X4)) 905.65/297.20 , proper(take(X1, X2)) -> take(proper(X1), proper(X2)) 905.65/297.20 , proper(U21(X1, X2)) -> U21(proper(X1), proper(X2)) 905.65/297.20 , proper(U22(X1, X2)) -> U22(proper(X1), proper(X2)) 905.65/297.20 , proper(U23(X)) -> U23(proper(X)) 905.65/297.20 , proper(U31(X1, X2)) -> U31(proper(X1), proper(X2)) 905.65/297.20 , proper(U32(X1, X2)) -> U32(proper(X1), proper(X2)) 905.65/297.20 , proper(U33(X)) -> U33(proper(X)) 905.65/297.20 , proper(U41(X1, X2, X3)) -> 905.65/297.20 U41(proper(X1), proper(X2), proper(X3)) 905.65/297.20 , proper(U42(X1, X2, X3)) -> 905.65/297.20 U42(proper(X1), proper(X2), proper(X3)) 905.65/297.20 , proper(U43(X1, X2, X3)) -> 905.65/297.20 U43(proper(X1), proper(X2), proper(X3)) 905.65/297.20 , proper(U44(X1, X2, X3)) -> 905.65/297.20 U44(proper(X1), proper(X2), proper(X3)) 905.65/297.20 , proper(U45(X1, X2)) -> U45(proper(X1), proper(X2)) 905.65/297.20 , proper(U46(X)) -> U46(proper(X)) 905.65/297.20 , proper(U51(X1, X2)) -> U51(proper(X1), proper(X2)) 905.65/297.20 , proper(U52(X)) -> U52(proper(X)) 905.65/297.20 , proper(U61(X1, X2)) -> U61(proper(X1), proper(X2)) 905.65/297.20 , proper(U62(X)) -> U62(proper(X)) 905.65/297.20 , proper(U71(X)) -> U71(proper(X)) 905.65/297.20 , proper(U81(X)) -> U81(proper(X)) 905.65/297.20 , proper(U91(X1, X2, X3)) -> 905.65/297.20 U91(proper(X1), proper(X2), proper(X3)) 905.65/297.20 , proper(U92(X1, X2, X3)) -> 905.65/297.20 U92(proper(X1), proper(X2), proper(X3)) 905.65/297.20 , proper(U93(X1, X2, X3)) -> 905.65/297.20 U93(proper(X1), proper(X2), proper(X3)) 905.65/297.20 , proper(U94(X1, X2, X3)) -> 905.65/297.20 U94(proper(X1), proper(X2), proper(X3)) 905.65/297.20 , proper(U95(X1, X2)) -> U95(proper(X1), proper(X2)) 905.65/297.20 , proper(U96(X)) -> U96(proper(X)) 905.65/297.20 , top(mark(X)) -> top(proper(X)) 905.65/297.20 , top(ok(X)) -> top(active(X)) } 905.65/297.20 Obligation: 905.65/297.20 innermost runtime complexity 905.65/297.20 Answer: 905.65/297.20 MAYBE 905.65/297.20 905.65/297.20 None of the processors succeeded. 905.65/297.20 905.65/297.20 Details of failed attempt(s): 905.65/297.20 ----------------------------- 905.65/297.20 1) 'empty' failed due to the following reason: 905.65/297.20 905.65/297.20 Empty strict component of the problem is NOT empty. 905.65/297.20 905.65/297.20 2) 'Best' failed due to the following reason: 905.65/297.20 905.65/297.20 None of the processors succeeded. 905.65/297.20 905.65/297.20 Details of failed attempt(s): 905.65/297.20 ----------------------------- 905.65/297.20 1) 'With Problem ... (timeout of 297 seconds)' failed due to the 905.65/297.20 following reason: 905.65/297.20 905.65/297.20 Computation stopped due to timeout after 297.0 seconds. 905.65/297.20 905.65/297.20 2) 'Best' failed due to the following reason: 905.65/297.20 905.65/297.20 None of the processors succeeded. 905.65/297.20 905.65/297.20 Details of failed attempt(s): 905.65/297.20 ----------------------------- 905.65/297.20 1) 'With Problem ... (timeout of 148 seconds) (timeout of 297 905.65/297.20 seconds)' failed due to the following reason: 905.65/297.20 905.65/297.20 Computation stopped due to timeout after 148.0 seconds. 905.65/297.20 905.65/297.20 2) 'Best' failed due to the following reason: 905.65/297.20 905.65/297.20 None of the processors succeeded. 905.65/297.20 905.65/297.20 Details of failed attempt(s): 905.65/297.20 ----------------------------- 905.65/297.20 1) 'Polynomial Path Order (PS) (timeout of 297 seconds)' failed due 905.65/297.20 to the following reason: 905.65/297.20 905.65/297.20 The input cannot be shown compatible 905.65/297.20 905.65/297.20 2) 'bsearch-popstar (timeout of 297 seconds)' failed due to the 905.65/297.20 following reason: 905.65/297.20 905.65/297.20 The input cannot be shown compatible 905.65/297.20 905.65/297.20 905.65/297.20 3) 'Fastest (timeout of 24 seconds) (timeout of 297 seconds)' 905.65/297.20 failed due to the following reason: 905.65/297.20 905.65/297.20 None of the processors succeeded. 905.65/297.20 905.65/297.20 Details of failed attempt(s): 905.65/297.20 ----------------------------- 905.65/297.20 1) 'Bounds with minimal-enrichment and initial automaton 'match'' 905.65/297.20 failed due to the following reason: 905.65/297.20 905.65/297.20 match-boundness of the problem could not be verified. 905.65/297.20 905.65/297.20 2) 'Bounds with perSymbol-enrichment and initial automaton 'match'' 905.65/297.20 failed due to the following reason: 905.65/297.20 905.65/297.20 match-boundness of the problem could not be verified. 905.65/297.20 905.65/297.20 905.65/297.20 905.65/297.20 905.65/297.20 905.65/297.20 Arrrr.. 905.65/297.20 EOF