MAYBE 1052.65/297.06 MAYBE 1052.65/297.06 1052.65/297.06 We are left with following problem, upon which TcT provides the 1052.65/297.06 certificate MAYBE. 1052.65/297.06 1052.65/297.06 Strict Trs: 1052.65/297.06 { a__zeros() -> cons(0(), zeros()) 1052.65/297.06 , a__zeros() -> zeros() 1052.65/297.06 , a__U11(X1, X2) -> U11(X1, X2) 1052.65/297.06 , a__U11(tt(), V1) -> a__U12(a__isNatList(V1)) 1052.65/297.06 , a__U12(X) -> U12(X) 1052.65/297.06 , a__U12(tt()) -> tt() 1052.65/297.06 , a__isNatList(X) -> isNatList(X) 1052.65/297.06 , a__isNatList(cons(V1, V2)) -> 1052.65/297.06 a__U51(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1, V2) 1052.65/297.06 , a__isNatList(nil()) -> tt() 1052.65/297.06 , a__isNatList(take(V1, V2)) -> 1052.65/297.06 a__U61(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1, V2) 1052.65/297.06 , a__U21(X1, X2) -> U21(X1, X2) 1052.65/297.06 , a__U21(tt(), V1) -> a__U22(a__isNat(V1)) 1052.65/297.06 , a__U22(X) -> U22(X) 1052.65/297.06 , a__U22(tt()) -> tt() 1052.65/297.06 , a__isNat(X) -> isNat(X) 1052.65/297.06 , a__isNat(0()) -> tt() 1052.65/297.06 , a__isNat(s(V1)) -> a__U21(a__isNatKind(V1), V1) 1052.65/297.06 , a__isNat(length(V1)) -> a__U11(a__isNatIListKind(V1), V1) 1052.65/297.06 , a__U31(X1, X2) -> U31(X1, X2) 1052.65/297.06 , a__U31(tt(), V) -> a__U32(a__isNatList(V)) 1052.65/297.06 , a__U32(X) -> U32(X) 1052.65/297.06 , a__U32(tt()) -> tt() 1052.65/297.06 , a__U41(X1, X2, X3) -> U41(X1, X2, X3) 1052.65/297.06 , a__U41(tt(), V1, V2) -> a__U42(a__isNat(V1), V2) 1052.65/297.06 , a__U42(X1, X2) -> U42(X1, X2) 1052.65/297.06 , a__U42(tt(), V2) -> a__U43(a__isNatIList(V2)) 1052.65/297.06 , a__U43(X) -> U43(X) 1052.65/297.06 , a__U43(tt()) -> tt() 1052.65/297.06 , a__isNatIList(V) -> a__U31(a__isNatIListKind(V), V) 1052.65/297.06 , a__isNatIList(X) -> isNatIList(X) 1052.65/297.06 , a__isNatIList(cons(V1, V2)) -> 1052.65/297.06 a__U41(a__and(a__isNatKind(V1), isNatIListKind(V2)), V1, V2) 1052.65/297.06 , a__isNatIList(zeros()) -> tt() 1052.65/297.06 , a__U51(X1, X2, X3) -> U51(X1, X2, X3) 1052.65/297.06 , a__U51(tt(), V1, V2) -> a__U52(a__isNat(V1), V2) 1052.65/297.06 , a__U52(X1, X2) -> U52(X1, X2) 1052.65/297.06 , a__U52(tt(), V2) -> a__U53(a__isNatList(V2)) 1052.65/297.06 , a__U53(X) -> U53(X) 1052.65/297.06 , a__U53(tt()) -> tt() 1052.65/297.06 , a__U61(X1, X2, X3) -> U61(X1, X2, X3) 1052.65/297.06 , a__U61(tt(), V1, V2) -> a__U62(a__isNat(V1), V2) 1052.65/297.06 , a__U62(X1, X2) -> U62(X1, X2) 1052.65/297.06 , a__U62(tt(), V2) -> a__U63(a__isNatIList(V2)) 1052.65/297.06 , a__U63(X) -> U63(X) 1052.65/297.06 , a__U63(tt()) -> tt() 1052.65/297.06 , a__U71(X1, X2) -> U71(X1, X2) 1052.65/297.06 , a__U71(tt(), L) -> s(a__length(mark(L))) 1052.65/297.06 , a__length(X) -> length(X) 1052.65/297.06 , a__length(cons(N, L)) -> 1052.65/297.06 a__U71(a__and(a__and(a__isNatList(L), isNatIListKind(L)), 1052.65/297.06 and(isNat(N), isNatKind(N))), 1052.65/297.06 L) 1052.65/297.06 , a__length(nil()) -> 0() 1052.65/297.06 , mark(cons(X1, X2)) -> cons(mark(X1), X2) 1052.65/297.06 , mark(0()) -> 0() 1052.65/297.06 , mark(zeros()) -> a__zeros() 1052.65/297.06 , mark(tt()) -> tt() 1052.65/297.06 , mark(s(X)) -> s(mark(X)) 1052.65/297.06 , mark(nil()) -> nil() 1052.65/297.06 , mark(take(X1, X2)) -> a__take(mark(X1), mark(X2)) 1052.65/297.06 , mark(length(X)) -> a__length(mark(X)) 1052.65/297.06 , mark(isNatIListKind(X)) -> a__isNatIListKind(X) 1052.65/297.06 , mark(and(X1, X2)) -> a__and(mark(X1), X2) 1052.65/297.06 , mark(isNat(X)) -> a__isNat(X) 1052.65/297.06 , mark(isNatKind(X)) -> a__isNatKind(X) 1052.65/297.06 , mark(U11(X1, X2)) -> a__U11(mark(X1), X2) 1052.65/297.06 , mark(U12(X)) -> a__U12(mark(X)) 1052.65/297.06 , mark(isNatList(X)) -> a__isNatList(X) 1052.65/297.06 , mark(U21(X1, X2)) -> a__U21(mark(X1), X2) 1052.65/297.06 , mark(U22(X)) -> a__U22(mark(X)) 1052.65/297.06 , mark(U31(X1, X2)) -> a__U31(mark(X1), X2) 1052.65/297.06 , mark(U32(X)) -> a__U32(mark(X)) 1052.65/297.06 , mark(U41(X1, X2, X3)) -> a__U41(mark(X1), X2, X3) 1052.65/297.06 , mark(U42(X1, X2)) -> a__U42(mark(X1), X2) 1052.65/297.06 , mark(U43(X)) -> a__U43(mark(X)) 1052.65/297.06 , mark(isNatIList(X)) -> a__isNatIList(X) 1052.65/297.06 , mark(U51(X1, X2, X3)) -> a__U51(mark(X1), X2, X3) 1052.65/297.06 , mark(U52(X1, X2)) -> a__U52(mark(X1), X2) 1052.65/297.06 , mark(U53(X)) -> a__U53(mark(X)) 1052.65/297.06 , mark(U61(X1, X2, X3)) -> a__U61(mark(X1), X2, X3) 1052.65/297.06 , mark(U62(X1, X2)) -> a__U62(mark(X1), X2) 1052.65/297.06 , mark(U63(X)) -> a__U63(mark(X)) 1052.65/297.06 , mark(U71(X1, X2)) -> a__U71(mark(X1), X2) 1052.65/297.06 , mark(U81(X)) -> a__U81(mark(X)) 1052.65/297.06 , mark(U91(X1, X2, X3, X4)) -> a__U91(mark(X1), X2, X3, X4) 1052.65/297.06 , a__U81(X) -> U81(X) 1052.65/297.06 , a__U81(tt()) -> nil() 1052.65/297.06 , a__U91(X1, X2, X3, X4) -> U91(X1, X2, X3, X4) 1052.65/297.06 , a__U91(tt(), IL, M, N) -> cons(mark(N), take(M, IL)) 1052.65/297.06 , a__and(X1, X2) -> and(X1, X2) 1052.65/297.06 , a__and(tt(), X) -> mark(X) 1052.65/297.06 , a__isNatIListKind(X) -> isNatIListKind(X) 1052.65/297.06 , a__isNatIListKind(cons(V1, V2)) -> 1052.65/297.06 a__and(a__isNatKind(V1), isNatIListKind(V2)) 1052.65/297.06 , a__isNatIListKind(zeros()) -> tt() 1052.65/297.06 , a__isNatIListKind(nil()) -> tt() 1052.65/297.06 , a__isNatIListKind(take(V1, V2)) -> 1052.65/297.06 a__and(a__isNatKind(V1), isNatIListKind(V2)) 1052.65/297.06 , a__isNatKind(X) -> isNatKind(X) 1052.65/297.06 , a__isNatKind(0()) -> tt() 1052.65/297.06 , a__isNatKind(s(V1)) -> a__isNatKind(V1) 1052.65/297.06 , a__isNatKind(length(V1)) -> a__isNatIListKind(V1) 1052.65/297.06 , a__take(X1, X2) -> take(X1, X2) 1052.65/297.06 , a__take(0(), IL) -> 1052.65/297.06 a__U81(a__and(a__isNatIList(IL), isNatIListKind(IL))) 1052.65/297.06 , a__take(s(M), cons(N, IL)) -> 1052.65/297.06 a__U91(a__and(a__and(a__isNatIList(IL), isNatIListKind(IL)), 1052.65/297.06 and(and(isNat(M), isNatKind(M)), and(isNat(N), isNatKind(N)))), 1052.65/297.06 IL, 1052.65/297.06 M, 1052.65/297.06 N) } 1052.65/297.06 Obligation: 1052.65/297.06 innermost runtime complexity 1052.65/297.06 Answer: 1052.65/297.06 MAYBE 1052.65/297.06 1052.65/297.06 None of the processors succeeded. 1052.65/297.06 1052.65/297.06 Details of failed attempt(s): 1052.65/297.06 ----------------------------- 1052.65/297.06 1) 'empty' failed due to the following reason: 1052.65/297.06 1052.65/297.06 Empty strict component of the problem is NOT empty. 1052.65/297.06 1052.65/297.06 2) 'Best' failed due to the following reason: 1052.65/297.06 1052.65/297.06 None of the processors succeeded. 1052.65/297.06 1052.65/297.06 Details of failed attempt(s): 1052.65/297.06 ----------------------------- 1052.65/297.06 1) 'With Problem ... (timeout of 297 seconds)' failed due to the 1052.65/297.06 following reason: 1052.65/297.06 1052.65/297.06 Computation stopped due to timeout after 297.0 seconds. 1052.65/297.06 1052.65/297.06 2) 'Best' failed due to the following reason: 1052.65/297.06 1052.65/297.06 None of the processors succeeded. 1052.65/297.06 1052.65/297.06 Details of failed attempt(s): 1052.65/297.06 ----------------------------- 1052.65/297.06 1) 'With Problem ... (timeout of 148 seconds) (timeout of 297 1052.65/297.06 seconds)' failed due to the following reason: 1052.65/297.06 1052.65/297.06 Computation stopped due to timeout after 148.0 seconds. 1052.65/297.06 1052.65/297.06 2) 'Best' failed due to the following reason: 1052.65/297.06 1052.65/297.06 None of the processors succeeded. 1052.65/297.06 1052.65/297.06 Details of failed attempt(s): 1052.65/297.06 ----------------------------- 1052.65/297.06 1) 'Polynomial Path Order (PS) (timeout of 297 seconds)' failed due 1052.65/297.06 to the following reason: 1052.65/297.06 1052.65/297.06 The input cannot be shown compatible 1052.65/297.06 1052.65/297.06 2) 'bsearch-popstar (timeout of 297 seconds)' failed due to the 1052.65/297.06 following reason: 1052.65/297.06 1052.65/297.06 The input cannot be shown compatible 1052.65/297.06 1052.65/297.06 1052.65/297.06 3) 'Fastest (timeout of 24 seconds) (timeout of 297 seconds)' 1052.65/297.06 failed due to the following reason: 1052.65/297.06 1052.65/297.06 None of the processors succeeded. 1052.65/297.06 1052.65/297.06 Details of failed attempt(s): 1052.65/297.06 ----------------------------- 1052.65/297.06 1) 'Bounds with perSymbol-enrichment and initial automaton 'match'' 1052.65/297.06 failed due to the following reason: 1052.65/297.06 1052.65/297.06 match-boundness of the problem could not be verified. 1052.65/297.06 1052.65/297.06 2) 'Bounds with minimal-enrichment and initial automaton 'match'' 1052.65/297.06 failed due to the following reason: 1052.65/297.06 1052.65/297.06 match-boundness of the problem could not be verified. 1052.65/297.06 1052.65/297.06 1052.65/297.06 1052.65/297.06 1052.65/297.06 1052.65/297.06 Arrrr.. 1055.66/299.97 EOF