MAYBE 1054.23/297.09 MAYBE 1054.23/297.09 1054.23/297.09 We are left with following problem, upon which TcT provides the 1054.23/297.09 certificate MAYBE. 1054.23/297.09 1054.23/297.09 Strict Trs: 1054.23/297.09 { a__U11(X1, X2, X3) -> U11(X1, X2, X3) 1054.23/297.09 , a__U11(tt(), N, XS) -> a__U12(tt(), N, XS) 1054.23/297.09 , a__U12(X1, X2, X3) -> U12(X1, X2, X3) 1054.23/297.09 , a__U12(tt(), N, XS) -> a__snd(a__splitAt(mark(N), mark(XS))) 1054.23/297.09 , a__snd(X) -> snd(X) 1054.23/297.09 , a__snd(pair(X, Y)) -> a__U51(tt(), Y) 1054.23/297.09 , a__splitAt(X1, X2) -> splitAt(X1, X2) 1054.23/297.09 , a__splitAt(s(N), cons(X, XS)) -> a__U61(tt(), N, X, XS) 1054.23/297.09 , a__splitAt(0(), XS) -> pair(nil(), mark(XS)) 1054.23/297.09 , mark(tt()) -> tt() 1054.23/297.09 , mark(pair(X1, X2)) -> pair(mark(X1), mark(X2)) 1054.23/297.09 , mark(cons(X1, X2)) -> cons(mark(X1), X2) 1054.23/297.09 , mark(natsFrom(X)) -> a__natsFrom(mark(X)) 1054.23/297.09 , mark(s(X)) -> s(mark(X)) 1054.23/297.09 , mark(0()) -> 0() 1054.23/297.09 , mark(nil()) -> nil() 1054.23/297.09 , mark(U11(X1, X2, X3)) -> a__U11(mark(X1), X2, X3) 1054.23/297.09 , mark(U12(X1, X2, X3)) -> a__U12(mark(X1), X2, X3) 1054.23/297.09 , mark(snd(X)) -> a__snd(mark(X)) 1054.23/297.09 , mark(splitAt(X1, X2)) -> a__splitAt(mark(X1), mark(X2)) 1054.23/297.09 , mark(U21(X1, X2)) -> a__U21(mark(X1), X2) 1054.23/297.09 , mark(U22(X1, X2)) -> a__U22(mark(X1), X2) 1054.23/297.09 , mark(U31(X1, X2)) -> a__U31(mark(X1), X2) 1054.23/297.09 , mark(U32(X1, X2)) -> a__U32(mark(X1), X2) 1054.23/297.09 , mark(U41(X1, X2, X3)) -> a__U41(mark(X1), X2, X3) 1054.23/297.09 , mark(U42(X1, X2, X3)) -> a__U42(mark(X1), X2, X3) 1054.23/297.09 , mark(head(X)) -> a__head(mark(X)) 1054.23/297.09 , mark(afterNth(X1, X2)) -> a__afterNth(mark(X1), mark(X2)) 1054.23/297.09 , mark(U51(X1, X2)) -> a__U51(mark(X1), X2) 1054.23/297.09 , mark(U52(X1, X2)) -> a__U52(mark(X1), X2) 1054.23/297.09 , mark(U61(X1, X2, X3, X4)) -> a__U61(mark(X1), X2, X3, X4) 1054.23/297.09 , mark(U62(X1, X2, X3, X4)) -> a__U62(mark(X1), X2, X3, X4) 1054.23/297.09 , mark(U63(X1, X2, X3, X4)) -> a__U63(mark(X1), X2, X3, X4) 1054.23/297.09 , mark(U64(X1, X2)) -> a__U64(mark(X1), X2) 1054.23/297.09 , mark(U71(X1, X2)) -> a__U71(mark(X1), X2) 1054.23/297.09 , mark(U72(X1, X2)) -> a__U72(mark(X1), X2) 1054.23/297.09 , mark(U81(X1, X2, X3)) -> a__U81(mark(X1), X2, X3) 1054.23/297.09 , mark(U82(X1, X2, X3)) -> a__U82(mark(X1), X2, X3) 1054.23/297.09 , mark(fst(X)) -> a__fst(mark(X)) 1054.23/297.09 , mark(sel(X1, X2)) -> a__sel(mark(X1), mark(X2)) 1054.23/297.09 , mark(tail(X)) -> a__tail(mark(X)) 1054.23/297.09 , mark(take(X1, X2)) -> a__take(mark(X1), mark(X2)) 1054.23/297.09 , a__U21(X1, X2) -> U21(X1, X2) 1054.23/297.09 , a__U21(tt(), X) -> a__U22(tt(), X) 1054.23/297.09 , a__U22(X1, X2) -> U22(X1, X2) 1054.23/297.09 , a__U22(tt(), X) -> mark(X) 1054.23/297.09 , a__U31(X1, X2) -> U31(X1, X2) 1054.23/297.09 , a__U31(tt(), N) -> a__U32(tt(), N) 1054.23/297.09 , a__U32(X1, X2) -> U32(X1, X2) 1054.23/297.09 , a__U32(tt(), N) -> mark(N) 1054.23/297.09 , a__U41(X1, X2, X3) -> U41(X1, X2, X3) 1054.23/297.09 , a__U41(tt(), N, XS) -> a__U42(tt(), N, XS) 1054.23/297.09 , a__U42(X1, X2, X3) -> U42(X1, X2, X3) 1054.23/297.09 , a__U42(tt(), N, XS) -> a__head(a__afterNth(mark(N), mark(XS))) 1054.23/297.09 , a__head(X) -> head(X) 1054.23/297.09 , a__head(cons(N, XS)) -> a__U31(tt(), N) 1054.23/297.09 , a__afterNth(N, XS) -> a__U11(tt(), N, XS) 1054.23/297.09 , a__afterNth(X1, X2) -> afterNth(X1, X2) 1054.23/297.09 , a__U51(X1, X2) -> U51(X1, X2) 1054.23/297.09 , a__U51(tt(), Y) -> a__U52(tt(), Y) 1054.23/297.09 , a__U52(X1, X2) -> U52(X1, X2) 1054.23/297.09 , a__U52(tt(), Y) -> mark(Y) 1054.23/297.09 , a__U61(X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1054.23/297.09 , a__U61(tt(), N, X, XS) -> a__U62(tt(), N, X, XS) 1054.23/297.09 , a__U62(X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1054.23/297.09 , a__U62(tt(), N, X, XS) -> a__U63(tt(), N, X, XS) 1054.23/297.09 , a__U63(X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1054.23/297.09 , a__U63(tt(), N, X, XS) -> 1054.23/297.09 a__U64(a__splitAt(mark(N), mark(XS)), X) 1054.23/297.09 , a__U64(X1, X2) -> U64(X1, X2) 1054.23/297.09 , a__U64(pair(YS, ZS), X) -> pair(cons(mark(X), YS), mark(ZS)) 1054.23/297.09 , a__U71(X1, X2) -> U71(X1, X2) 1054.23/297.09 , a__U71(tt(), XS) -> a__U72(tt(), XS) 1054.23/297.09 , a__U72(X1, X2) -> U72(X1, X2) 1054.23/297.09 , a__U72(tt(), XS) -> mark(XS) 1054.23/297.09 , a__U81(X1, X2, X3) -> U81(X1, X2, X3) 1054.23/297.09 , a__U81(tt(), N, XS) -> a__U82(tt(), N, XS) 1054.23/297.09 , a__U82(X1, X2, X3) -> U82(X1, X2, X3) 1054.23/297.09 , a__U82(tt(), N, XS) -> a__fst(a__splitAt(mark(N), mark(XS))) 1054.23/297.09 , a__fst(X) -> fst(X) 1054.23/297.09 , a__fst(pair(X, Y)) -> a__U21(tt(), X) 1054.23/297.09 , a__natsFrom(N) -> cons(mark(N), natsFrom(s(N))) 1054.23/297.09 , a__natsFrom(X) -> natsFrom(X) 1054.23/297.09 , a__sel(N, XS) -> a__U41(tt(), N, XS) 1054.23/297.09 , a__sel(X1, X2) -> sel(X1, X2) 1054.23/297.09 , a__tail(X) -> tail(X) 1054.23/297.09 , a__tail(cons(N, XS)) -> a__U71(tt(), XS) 1054.23/297.09 , a__take(N, XS) -> a__U81(tt(), N, XS) 1054.23/297.09 , a__take(X1, X2) -> take(X1, X2) } 1054.23/297.09 Obligation: 1054.23/297.09 innermost runtime complexity 1054.23/297.09 Answer: 1054.23/297.09 MAYBE 1054.23/297.09 1054.23/297.09 None of the processors succeeded. 1054.23/297.09 1054.23/297.09 Details of failed attempt(s): 1054.23/297.09 ----------------------------- 1054.23/297.09 1) 'empty' failed due to the following reason: 1054.23/297.09 1054.23/297.09 Empty strict component of the problem is NOT empty. 1054.23/297.09 1054.23/297.09 2) 'Best' failed due to the following reason: 1054.23/297.09 1054.23/297.09 None of the processors succeeded. 1054.23/297.09 1054.23/297.09 Details of failed attempt(s): 1054.23/297.09 ----------------------------- 1054.23/297.09 1) 'With Problem ... (timeout of 297 seconds)' failed due to the 1054.23/297.09 following reason: 1054.23/297.09 1054.23/297.09 Computation stopped due to timeout after 297.0 seconds. 1054.23/297.09 1054.23/297.09 2) 'Best' failed due to the following reason: 1054.23/297.09 1054.23/297.09 None of the processors succeeded. 1054.23/297.09 1054.23/297.09 Details of failed attempt(s): 1054.23/297.09 ----------------------------- 1054.23/297.09 1) 'With Problem ... (timeout of 148 seconds) (timeout of 297 1054.23/297.09 seconds)' failed due to the following reason: 1054.23/297.09 1054.23/297.09 Computation stopped due to timeout after 148.0 seconds. 1054.23/297.09 1054.23/297.09 2) 'Best' failed due to the following reason: 1054.23/297.09 1054.23/297.09 None of the processors succeeded. 1054.23/297.09 1054.23/297.09 Details of failed attempt(s): 1054.23/297.09 ----------------------------- 1054.23/297.09 1) 'Polynomial Path Order (PS) (timeout of 297 seconds)' failed due 1054.23/297.09 to the following reason: 1054.23/297.09 1054.23/297.09 The input cannot be shown compatible 1054.23/297.09 1054.23/297.09 2) 'bsearch-popstar (timeout of 297 seconds)' failed due to the 1054.23/297.09 following reason: 1054.23/297.09 1054.23/297.09 The input cannot be shown compatible 1054.23/297.09 1054.23/297.09 1054.23/297.09 3) 'Fastest (timeout of 24 seconds) (timeout of 297 seconds)' 1054.23/297.09 failed due to the following reason: 1054.23/297.09 1054.23/297.09 None of the processors succeeded. 1054.23/297.09 1054.23/297.09 Details of failed attempt(s): 1054.23/297.09 ----------------------------- 1054.23/297.09 1) 'Bounds with minimal-enrichment and initial automaton 'match'' 1054.23/297.09 failed due to the following reason: 1054.23/297.09 1054.23/297.09 match-boundness of the problem could not be verified. 1054.23/297.09 1054.23/297.09 2) 'Bounds with perSymbol-enrichment and initial automaton 'match'' 1054.23/297.09 failed due to the following reason: 1054.23/297.09 1054.23/297.09 match-boundness of the problem could not be verified. 1054.23/297.09 1054.23/297.09 1054.23/297.09 1054.23/297.09 1054.23/297.09 1054.23/297.09 Arrrr.. 1056.58/299.23 EOF