MAYBE 1119.09/297.11 MAYBE 1119.09/297.11 1119.09/297.11 We are left with following problem, upon which TcT provides the 1119.09/297.11 certificate MAYBE. 1119.09/297.11 1119.09/297.11 Strict Trs: 1119.09/297.11 { a____(X1, X2) -> __(X1, X2) 1119.09/297.11 , a____(X, nil()) -> mark(X) 1119.09/297.11 , a____(__(X, Y), Z) -> a____(mark(X), a____(mark(Y), mark(Z))) 1119.09/297.11 , a____(nil(), X) -> mark(X) 1119.09/297.11 , mark(__(X1, X2)) -> a____(mark(X1), mark(X2)) 1119.09/297.11 , mark(nil()) -> nil() 1119.09/297.11 , mark(tt()) -> tt() 1119.09/297.11 , mark(a()) -> a() 1119.09/297.11 , mark(e()) -> e() 1119.09/297.11 , mark(i()) -> i() 1119.09/297.11 , mark(o()) -> o() 1119.09/297.11 , mark(u()) -> u() 1119.09/297.11 , mark(U11(X1, X2)) -> a__U11(mark(X1), X2) 1119.09/297.11 , mark(U12(X1, X2)) -> a__U12(mark(X1), X2) 1119.09/297.11 , mark(isPalListKind(X)) -> a__isPalListKind(X) 1119.09/297.11 , mark(U13(X)) -> a__U13(mark(X)) 1119.09/297.11 , mark(isNeList(X)) -> a__isNeList(X) 1119.09/297.11 , mark(U21(X1, X2, X3)) -> a__U21(mark(X1), X2, X3) 1119.09/297.11 , mark(U22(X1, X2, X3)) -> a__U22(mark(X1), X2, X3) 1119.09/297.11 , mark(U23(X1, X2, X3)) -> a__U23(mark(X1), X2, X3) 1119.09/297.11 , mark(U24(X1, X2, X3)) -> a__U24(mark(X1), X2, X3) 1119.09/297.11 , mark(U25(X1, X2)) -> a__U25(mark(X1), X2) 1119.09/297.11 , mark(isList(X)) -> a__isList(X) 1119.09/297.11 , mark(U26(X)) -> a__U26(mark(X)) 1119.09/297.11 , mark(U31(X1, X2)) -> a__U31(mark(X1), X2) 1119.09/297.11 , mark(U32(X1, X2)) -> a__U32(mark(X1), X2) 1119.09/297.11 , mark(U33(X)) -> a__U33(mark(X)) 1119.09/297.11 , mark(isQid(X)) -> a__isQid(X) 1119.09/297.11 , mark(U41(X1, X2, X3)) -> a__U41(mark(X1), X2, X3) 1119.09/297.11 , mark(U42(X1, X2, X3)) -> a__U42(mark(X1), X2, X3) 1119.09/297.11 , mark(U43(X1, X2, X3)) -> a__U43(mark(X1), X2, X3) 1119.09/297.11 , mark(U44(X1, X2, X3)) -> a__U44(mark(X1), X2, X3) 1119.09/297.11 , mark(U45(X1, X2)) -> a__U45(mark(X1), X2) 1119.09/297.11 , mark(U46(X)) -> a__U46(mark(X)) 1119.09/297.11 , mark(U51(X1, X2, X3)) -> a__U51(mark(X1), X2, X3) 1119.09/297.11 , mark(U52(X1, X2, X3)) -> a__U52(mark(X1), X2, X3) 1119.09/297.11 , mark(U53(X1, X2, X3)) -> a__U53(mark(X1), X2, X3) 1119.09/297.11 , mark(U54(X1, X2, X3)) -> a__U54(mark(X1), X2, X3) 1119.09/297.11 , mark(U55(X1, X2)) -> a__U55(mark(X1), X2) 1119.09/297.11 , mark(U56(X)) -> a__U56(mark(X)) 1119.09/297.11 , mark(U61(X1, X2)) -> a__U61(mark(X1), X2) 1119.09/297.11 , mark(U62(X1, X2)) -> a__U62(mark(X1), X2) 1119.09/297.11 , mark(U63(X)) -> a__U63(mark(X)) 1119.09/297.11 , mark(U71(X1, X2, X3)) -> a__U71(mark(X1), X2, X3) 1119.09/297.11 , mark(U72(X1, X2)) -> a__U72(mark(X1), X2) 1119.09/297.11 , mark(U73(X1, X2)) -> a__U73(mark(X1), X2) 1119.09/297.11 , mark(isPal(X)) -> a__isPal(X) 1119.09/297.11 , mark(U74(X)) -> a__U74(mark(X)) 1119.09/297.11 , mark(U81(X1, X2)) -> a__U81(mark(X1), X2) 1119.09/297.11 , mark(U82(X1, X2)) -> a__U82(mark(X1), X2) 1119.09/297.11 , mark(U83(X)) -> a__U83(mark(X)) 1119.09/297.11 , mark(isNePal(X)) -> a__isNePal(X) 1119.09/297.11 , mark(U91(X1, X2)) -> a__U91(mark(X1), X2) 1119.09/297.11 , mark(U92(X)) -> a__U92(mark(X)) 1119.09/297.11 , a__U11(X1, X2) -> U11(X1, X2) 1119.09/297.11 , a__U11(tt(), V) -> a__U12(a__isPalListKind(V), V) 1119.09/297.11 , a__U12(X1, X2) -> U12(X1, X2) 1119.09/297.11 , a__U12(tt(), V) -> a__U13(a__isNeList(V)) 1119.09/297.11 , a__isPalListKind(X) -> isPalListKind(X) 1119.09/297.11 , a__isPalListKind(__(V1, V2)) -> a__U91(a__isPalListKind(V1), V2) 1119.09/297.11 , a__isPalListKind(nil()) -> tt() 1119.09/297.11 , a__isPalListKind(a()) -> tt() 1119.09/297.11 , a__isPalListKind(e()) -> tt() 1119.09/297.11 , a__isPalListKind(i()) -> tt() 1119.09/297.11 , a__isPalListKind(o()) -> tt() 1119.09/297.11 , a__isPalListKind(u()) -> tt() 1119.09/297.11 , a__U13(X) -> U13(X) 1119.09/297.11 , a__U13(tt()) -> tt() 1119.09/297.11 , a__isNeList(V) -> a__U31(a__isPalListKind(V), V) 1119.09/297.11 , a__isNeList(X) -> isNeList(X) 1119.09/297.11 , a__isNeList(__(V1, V2)) -> a__U41(a__isPalListKind(V1), V1, V2) 1119.09/297.11 , a__isNeList(__(V1, V2)) -> a__U51(a__isPalListKind(V1), V1, V2) 1119.09/297.11 , a__U21(X1, X2, X3) -> U21(X1, X2, X3) 1119.09/297.11 , a__U21(tt(), V1, V2) -> a__U22(a__isPalListKind(V1), V1, V2) 1119.09/297.11 , a__U22(X1, X2, X3) -> U22(X1, X2, X3) 1119.09/297.11 , a__U22(tt(), V1, V2) -> a__U23(a__isPalListKind(V2), V1, V2) 1119.09/297.11 , a__U23(X1, X2, X3) -> U23(X1, X2, X3) 1119.09/297.11 , a__U23(tt(), V1, V2) -> a__U24(a__isPalListKind(V2), V1, V2) 1119.09/297.11 , a__U24(X1, X2, X3) -> U24(X1, X2, X3) 1119.09/297.11 , a__U24(tt(), V1, V2) -> a__U25(a__isList(V1), V2) 1119.09/297.11 , a__U25(X1, X2) -> U25(X1, X2) 1119.09/297.11 , a__U25(tt(), V2) -> a__U26(a__isList(V2)) 1119.09/297.11 , a__isList(V) -> a__U11(a__isPalListKind(V), V) 1119.09/297.11 , a__isList(X) -> isList(X) 1119.09/297.11 , a__isList(__(V1, V2)) -> a__U21(a__isPalListKind(V1), V1, V2) 1119.09/297.11 , a__isList(nil()) -> tt() 1119.09/297.11 , a__U26(X) -> U26(X) 1119.09/297.11 , a__U26(tt()) -> tt() 1119.09/297.11 , a__U31(X1, X2) -> U31(X1, X2) 1119.09/297.11 , a__U31(tt(), V) -> a__U32(a__isPalListKind(V), V) 1119.09/297.11 , a__U32(X1, X2) -> U32(X1, X2) 1119.09/297.11 , a__U32(tt(), V) -> a__U33(a__isQid(V)) 1119.09/297.11 , a__U33(X) -> U33(X) 1119.09/297.11 , a__U33(tt()) -> tt() 1119.09/297.11 , a__isQid(X) -> isQid(X) 1119.09/297.11 , a__isQid(a()) -> tt() 1119.09/297.11 , a__isQid(e()) -> tt() 1119.09/297.11 , a__isQid(i()) -> tt() 1119.09/297.11 , a__isQid(o()) -> tt() 1119.09/297.11 , a__isQid(u()) -> tt() 1119.09/297.11 , a__U41(X1, X2, X3) -> U41(X1, X2, X3) 1119.09/297.11 , a__U41(tt(), V1, V2) -> a__U42(a__isPalListKind(V1), V1, V2) 1119.09/297.11 , a__U42(X1, X2, X3) -> U42(X1, X2, X3) 1119.09/297.11 , a__U42(tt(), V1, V2) -> a__U43(a__isPalListKind(V2), V1, V2) 1119.09/297.11 , a__U43(X1, X2, X3) -> U43(X1, X2, X3) 1119.09/297.11 , a__U43(tt(), V1, V2) -> a__U44(a__isPalListKind(V2), V1, V2) 1119.09/297.11 , a__U44(X1, X2, X3) -> U44(X1, X2, X3) 1119.09/297.11 , a__U44(tt(), V1, V2) -> a__U45(a__isList(V1), V2) 1119.09/297.11 , a__U45(X1, X2) -> U45(X1, X2) 1119.09/297.11 , a__U45(tt(), V2) -> a__U46(a__isNeList(V2)) 1119.09/297.11 , a__U46(X) -> U46(X) 1119.09/297.11 , a__U46(tt()) -> tt() 1119.09/297.11 , a__U51(X1, X2, X3) -> U51(X1, X2, X3) 1119.09/297.11 , a__U51(tt(), V1, V2) -> a__U52(a__isPalListKind(V1), V1, V2) 1119.09/297.11 , a__U52(X1, X2, X3) -> U52(X1, X2, X3) 1119.09/297.11 , a__U52(tt(), V1, V2) -> a__U53(a__isPalListKind(V2), V1, V2) 1119.09/297.11 , a__U53(X1, X2, X3) -> U53(X1, X2, X3) 1119.09/297.11 , a__U53(tt(), V1, V2) -> a__U54(a__isPalListKind(V2), V1, V2) 1119.09/297.11 , a__U54(X1, X2, X3) -> U54(X1, X2, X3) 1119.09/297.11 , a__U54(tt(), V1, V2) -> a__U55(a__isNeList(V1), V2) 1119.09/297.11 , a__U55(X1, X2) -> U55(X1, X2) 1119.09/297.11 , a__U55(tt(), V2) -> a__U56(a__isList(V2)) 1119.09/297.11 , a__U56(X) -> U56(X) 1119.09/297.11 , a__U56(tt()) -> tt() 1119.09/297.11 , a__U61(X1, X2) -> U61(X1, X2) 1119.09/297.11 , a__U61(tt(), V) -> a__U62(a__isPalListKind(V), V) 1119.09/297.11 , a__U62(X1, X2) -> U62(X1, X2) 1119.09/297.11 , a__U62(tt(), V) -> a__U63(a__isQid(V)) 1119.09/297.11 , a__U63(X) -> U63(X) 1119.09/297.11 , a__U63(tt()) -> tt() 1119.09/297.11 , a__U71(X1, X2, X3) -> U71(X1, X2, X3) 1119.09/297.11 , a__U71(tt(), I, P) -> a__U72(a__isPalListKind(I), P) 1119.09/297.11 , a__U72(X1, X2) -> U72(X1, X2) 1119.09/297.11 , a__U72(tt(), P) -> a__U73(a__isPal(P), P) 1119.09/297.11 , a__U73(X1, X2) -> U73(X1, X2) 1119.09/297.11 , a__U73(tt(), P) -> a__U74(a__isPalListKind(P)) 1119.09/297.11 , a__isPal(V) -> a__U81(a__isPalListKind(V), V) 1119.09/297.11 , a__isPal(X) -> isPal(X) 1119.09/297.11 , a__isPal(nil()) -> tt() 1119.09/297.11 , a__U74(X) -> U74(X) 1119.09/297.11 , a__U74(tt()) -> tt() 1119.09/297.11 , a__U81(X1, X2) -> U81(X1, X2) 1119.09/297.11 , a__U81(tt(), V) -> a__U82(a__isPalListKind(V), V) 1119.09/297.11 , a__U82(X1, X2) -> U82(X1, X2) 1119.09/297.11 , a__U82(tt(), V) -> a__U83(a__isNePal(V)) 1119.09/297.11 , a__U83(X) -> U83(X) 1119.09/297.11 , a__U83(tt()) -> tt() 1119.09/297.11 , a__isNePal(V) -> a__U61(a__isPalListKind(V), V) 1119.09/297.11 , a__isNePal(X) -> isNePal(X) 1119.09/297.11 , a__isNePal(__(I, __(P, I))) -> a__U71(a__isQid(I), I, P) 1119.09/297.11 , a__U91(X1, X2) -> U91(X1, X2) 1119.09/297.11 , a__U91(tt(), V2) -> a__U92(a__isPalListKind(V2)) 1119.09/297.11 , a__U92(X) -> U92(X) 1119.09/297.11 , a__U92(tt()) -> tt() } 1119.09/297.11 Obligation: 1119.09/297.11 runtime complexity 1119.09/297.11 Answer: 1119.09/297.11 MAYBE 1119.09/297.11 1119.09/297.11 None of the processors succeeded. 1119.09/297.11 1119.09/297.11 Details of failed attempt(s): 1119.09/297.11 ----------------------------- 1119.09/297.11 1) 'With Problem ... (timeout of 297 seconds)' failed due to the 1119.09/297.11 following reason: 1119.09/297.11 1119.09/297.11 Computation stopped due to timeout after 297.0 seconds. 1119.09/297.11 1119.09/297.11 2) 'Weak Dependency Pairs (timeout of 297 seconds)' failed due to 1119.09/297.11 the following reason: 1119.09/297.11 1119.09/297.11 Computation stopped due to timeout after 297.0 seconds. 1119.09/297.11 1119.09/297.11 3) 'Best' failed due to the following reason: 1119.09/297.11 1119.09/297.11 None of the processors succeeded. 1119.09/297.11 1119.09/297.11 Details of failed attempt(s): 1119.09/297.11 ----------------------------- 1119.09/297.11 1) 'With Problem ... (timeout of 148 seconds) (timeout of 297 1119.09/297.11 seconds)' failed due to the following reason: 1119.09/297.11 1119.09/297.11 Computation stopped due to timeout after 148.0 seconds. 1119.09/297.11 1119.09/297.11 2) 'Fastest (timeout of 24 seconds) (timeout of 297 seconds)' 1119.09/297.11 failed due to the following reason: 1119.09/297.11 1119.09/297.11 None of the processors succeeded. 1119.09/297.11 1119.09/297.11 Details of failed attempt(s): 1119.09/297.11 ----------------------------- 1119.09/297.11 1) 'Bounds with minimal-enrichment and initial automaton 'match'' 1119.09/297.11 failed due to the following reason: 1119.09/297.11 1119.09/297.11 match-boundness of the problem could not be verified. 1119.09/297.11 1119.09/297.11 2) 'Bounds with perSymbol-enrichment and initial automaton 'match'' 1119.09/297.11 failed due to the following reason: 1119.09/297.11 1119.09/297.11 match-boundness of the problem could not be verified. 1119.09/297.11 1119.09/297.11 1119.09/297.11 3) 'Best' failed due to the following reason: 1119.09/297.11 1119.09/297.11 None of the processors succeeded. 1119.09/297.11 1119.09/297.11 Details of failed attempt(s): 1119.09/297.11 ----------------------------- 1119.09/297.11 1) 'bsearch-popstar (timeout of 297 seconds)' failed due to the 1119.09/297.11 following reason: 1119.09/297.11 1119.09/297.11 The processor is inapplicable, reason: 1119.09/297.11 Processor only applicable for innermost runtime complexity analysis 1119.09/297.11 1119.09/297.11 2) 'Polynomial Path Order (PS) (timeout of 297 seconds)' failed due 1119.09/297.11 to the following reason: 1119.09/297.11 1119.09/297.11 The processor is inapplicable, reason: 1119.09/297.11 Processor only applicable for innermost runtime complexity analysis 1119.09/297.11 1119.09/297.11 1119.09/297.11 1119.09/297.11 1119.09/297.11 Arrrr.. 1119.22/297.20 EOF