MAYBE 1052.41/297.04 MAYBE 1052.41/297.04 1052.41/297.04 We are left with following problem, upon which TcT provides the 1052.41/297.04 certificate MAYBE. 1052.41/297.04 1052.41/297.04 Strict Trs: 1052.41/297.04 { a__zeros() -> cons(0(), zeros()) 1052.41/297.04 , a__zeros() -> zeros() 1052.41/297.04 , a__U11(X1, X2) -> U11(X1, X2) 1052.41/297.04 , a__U11(tt(), L) -> s(a__length(mark(L))) 1052.41/297.04 , a__length(X) -> length(X) 1052.41/297.04 , a__length(cons(N, L)) -> 1052.41/297.04 a__U11(a__and(a__isNatList(L), isNat(N)), L) 1052.41/297.04 , a__length(nil()) -> 0() 1052.41/297.04 , mark(cons(X1, X2)) -> cons(mark(X1), X2) 1052.41/297.04 , mark(0()) -> 0() 1052.41/297.04 , mark(zeros()) -> a__zeros() 1052.41/297.04 , mark(tt()) -> tt() 1052.41/297.04 , mark(s(X)) -> s(mark(X)) 1052.41/297.04 , mark(nil()) -> nil() 1052.41/297.04 , mark(take(X1, X2)) -> a__take(mark(X1), mark(X2)) 1052.41/297.04 , mark(length(X)) -> a__length(mark(X)) 1052.41/297.04 , mark(isNatIList(X)) -> a__isNatIList(X) 1052.41/297.04 , mark(isNatList(X)) -> a__isNatList(X) 1052.41/297.04 , mark(isNat(X)) -> a__isNat(X) 1052.41/297.04 , mark(and(X1, X2)) -> a__and(mark(X1), X2) 1052.41/297.04 , mark(U11(X1, X2)) -> a__U11(mark(X1), X2) 1052.41/297.04 , mark(U21(X)) -> a__U21(mark(X)) 1052.41/297.04 , mark(U31(X1, X2, X3, X4)) -> a__U31(mark(X1), X2, X3, X4) 1052.41/297.04 , a__U21(X) -> U21(X) 1052.41/297.04 , a__U21(tt()) -> nil() 1052.41/297.04 , a__U31(X1, X2, X3, X4) -> U31(X1, X2, X3, X4) 1052.41/297.04 , a__U31(tt(), IL, M, N) -> cons(mark(N), take(M, IL)) 1052.41/297.04 , a__and(X1, X2) -> and(X1, X2) 1052.41/297.04 , a__and(tt(), X) -> mark(X) 1052.41/297.04 , a__isNat(X) -> isNat(X) 1052.41/297.04 , a__isNat(0()) -> tt() 1052.41/297.04 , a__isNat(s(V1)) -> a__isNat(V1) 1052.41/297.04 , a__isNat(length(V1)) -> a__isNatList(V1) 1052.41/297.04 , a__isNatList(X) -> isNatList(X) 1052.41/297.04 , a__isNatList(cons(V1, V2)) -> a__and(a__isNat(V1), isNatList(V2)) 1052.41/297.04 , a__isNatList(nil()) -> tt() 1052.41/297.04 , a__isNatList(take(V1, V2)) -> 1052.41/297.04 a__and(a__isNat(V1), isNatIList(V2)) 1052.41/297.04 , a__isNatIList(V) -> a__isNatList(V) 1052.41/297.04 , a__isNatIList(X) -> isNatIList(X) 1052.41/297.04 , a__isNatIList(cons(V1, V2)) -> 1052.41/297.04 a__and(a__isNat(V1), isNatIList(V2)) 1052.41/297.04 , a__isNatIList(zeros()) -> tt() 1052.41/297.04 , a__take(X1, X2) -> take(X1, X2) 1052.41/297.04 , a__take(0(), IL) -> a__U21(a__isNatIList(IL)) 1052.41/297.04 , a__take(s(M), cons(N, IL)) -> 1052.41/297.04 a__U31(a__and(a__isNatIList(IL), and(isNat(M), isNat(N))), 1052.41/297.04 IL, 1052.41/297.04 M, 1052.41/297.04 N) } 1052.41/297.04 Obligation: 1052.41/297.04 innermost runtime complexity 1052.41/297.04 Answer: 1052.41/297.04 MAYBE 1052.41/297.04 1052.41/297.04 None of the processors succeeded. 1052.41/297.04 1052.41/297.04 Details of failed attempt(s): 1052.41/297.04 ----------------------------- 1052.41/297.04 1) 'empty' failed due to the following reason: 1052.41/297.04 1052.41/297.04 Empty strict component of the problem is NOT empty. 1052.41/297.04 1052.41/297.04 2) 'Best' failed due to the following reason: 1052.41/297.04 1052.41/297.04 None of the processors succeeded. 1052.41/297.04 1052.41/297.04 Details of failed attempt(s): 1052.41/297.04 ----------------------------- 1052.41/297.04 1) 'With Problem ... (timeout of 297 seconds)' failed due to the 1052.41/297.04 following reason: 1052.41/297.04 1052.41/297.04 Computation stopped due to timeout after 297.0 seconds. 1052.41/297.04 1052.41/297.04 2) 'Best' failed due to the following reason: 1052.41/297.04 1052.41/297.04 None of the processors succeeded. 1052.41/297.04 1052.41/297.04 Details of failed attempt(s): 1052.41/297.04 ----------------------------- 1052.41/297.04 1) 'With Problem ... (timeout of 148 seconds) (timeout of 297 1052.41/297.04 seconds)' failed due to the following reason: 1052.41/297.04 1052.41/297.04 Computation stopped due to timeout after 148.0 seconds. 1052.41/297.04 1052.41/297.04 2) 'Best' failed due to the following reason: 1052.41/297.04 1052.41/297.04 None of the processors succeeded. 1052.41/297.04 1052.41/297.04 Details of failed attempt(s): 1052.41/297.04 ----------------------------- 1052.41/297.04 1) 'Polynomial Path Order (PS) (timeout of 297 seconds)' failed due 1052.41/297.04 to the following reason: 1052.41/297.04 1052.41/297.04 The input cannot be shown compatible 1052.41/297.04 1052.41/297.04 2) 'bsearch-popstar (timeout of 297 seconds)' failed due to the 1052.41/297.04 following reason: 1052.41/297.04 1052.41/297.04 The input cannot be shown compatible 1052.41/297.04 1052.41/297.04 1052.41/297.04 3) 'Fastest (timeout of 24 seconds) (timeout of 297 seconds)' 1052.41/297.04 failed due to the following reason: 1052.41/297.04 1052.41/297.04 None of the processors succeeded. 1052.41/297.04 1052.41/297.04 Details of failed attempt(s): 1052.41/297.04 ----------------------------- 1052.41/297.04 1) 'Bounds with minimal-enrichment and initial automaton 'match'' 1052.41/297.04 failed due to the following reason: 1052.41/297.04 1052.41/297.04 match-boundness of the problem could not be verified. 1052.41/297.04 1052.41/297.04 2) 'Bounds with perSymbol-enrichment and initial automaton 'match'' 1052.41/297.04 failed due to the following reason: 1052.41/297.04 1052.41/297.04 match-boundness of the problem could not be verified. 1052.41/297.04 1052.41/297.04 1052.41/297.04 1052.41/297.04 1052.41/297.04 1052.41/297.04 Arrrr.. 1055.47/300.44 EOF