MAYBE 1020.56/297.09 MAYBE 1020.56/297.09 1020.56/297.09 We are left with following problem, upon which TcT provides the 1020.56/297.09 certificate MAYBE. 1020.56/297.09 1020.56/297.09 Strict Trs: 1020.56/297.09 { a__zeros() -> cons(0(), zeros()) 1020.56/297.09 , a__zeros() -> zeros() 1020.56/297.09 , a__U11(X1, X2) -> U11(X1, X2) 1020.56/297.09 , a__U11(tt(), L) -> a__U12(tt(), L) 1020.56/297.09 , a__U12(X1, X2) -> U12(X1, X2) 1020.56/297.09 , a__U12(tt(), L) -> s(a__length(mark(L))) 1020.56/297.09 , a__length(X) -> length(X) 1020.56/297.09 , a__length(cons(N, L)) -> a__U11(tt(), L) 1020.56/297.09 , a__length(nil()) -> 0() 1020.56/297.09 , mark(cons(X1, X2)) -> cons(mark(X1), X2) 1020.56/297.09 , mark(0()) -> 0() 1020.56/297.09 , mark(zeros()) -> a__zeros() 1020.56/297.09 , mark(tt()) -> tt() 1020.56/297.09 , mark(s(X)) -> s(mark(X)) 1020.56/297.09 , mark(take(X1, X2)) -> a__take(mark(X1), mark(X2)) 1020.56/297.09 , mark(nil()) -> nil() 1020.56/297.09 , mark(U11(X1, X2)) -> a__U11(mark(X1), X2) 1020.56/297.09 , mark(U12(X1, X2)) -> a__U12(mark(X1), X2) 1020.56/297.09 , mark(length(X)) -> a__length(mark(X)) 1020.56/297.09 , mark(U21(X1, X2, X3, X4)) -> a__U21(mark(X1), X2, X3, X4) 1020.56/297.09 , mark(U22(X1, X2, X3, X4)) -> a__U22(mark(X1), X2, X3, X4) 1020.56/297.09 , mark(U23(X1, X2, X3, X4)) -> a__U23(mark(X1), X2, X3, X4) 1020.56/297.09 , a__U21(X1, X2, X3, X4) -> U21(X1, X2, X3, X4) 1020.56/297.09 , a__U21(tt(), IL, M, N) -> a__U22(tt(), IL, M, N) 1020.56/297.09 , a__U22(X1, X2, X3, X4) -> U22(X1, X2, X3, X4) 1020.56/297.09 , a__U22(tt(), IL, M, N) -> a__U23(tt(), IL, M, N) 1020.56/297.09 , a__U23(X1, X2, X3, X4) -> U23(X1, X2, X3, X4) 1020.56/297.09 , a__U23(tt(), IL, M, N) -> cons(mark(N), take(M, IL)) 1020.56/297.09 , a__take(X1, X2) -> take(X1, X2) 1020.56/297.09 , a__take(0(), IL) -> nil() 1020.56/297.09 , a__take(s(M), cons(N, IL)) -> a__U21(tt(), IL, M, N) } 1020.56/297.09 Obligation: 1020.56/297.09 runtime complexity 1020.56/297.09 Answer: 1020.56/297.09 MAYBE 1020.56/297.09 1020.56/297.09 The input is overlay and right-linear. Switching to innermost 1020.56/297.09 rewriting. 1020.56/297.09 1020.56/297.09 We are left with following problem, upon which TcT provides the 1020.56/297.09 certificate MAYBE. 1020.56/297.09 1020.56/297.09 Strict Trs: 1020.56/297.09 { a__zeros() -> cons(0(), zeros()) 1020.56/297.09 , a__zeros() -> zeros() 1020.56/297.09 , a__U11(X1, X2) -> U11(X1, X2) 1020.56/297.09 , a__U11(tt(), L) -> a__U12(tt(), L) 1020.56/297.09 , a__U12(X1, X2) -> U12(X1, X2) 1020.56/297.09 , a__U12(tt(), L) -> s(a__length(mark(L))) 1020.56/297.09 , a__length(X) -> length(X) 1020.56/297.09 , a__length(cons(N, L)) -> a__U11(tt(), L) 1020.56/297.09 , a__length(nil()) -> 0() 1020.56/297.09 , mark(cons(X1, X2)) -> cons(mark(X1), X2) 1020.56/297.09 , mark(0()) -> 0() 1020.56/297.09 , mark(zeros()) -> a__zeros() 1020.56/297.09 , mark(tt()) -> tt() 1020.56/297.09 , mark(s(X)) -> s(mark(X)) 1020.56/297.09 , mark(take(X1, X2)) -> a__take(mark(X1), mark(X2)) 1020.56/297.09 , mark(nil()) -> nil() 1020.56/297.09 , mark(U11(X1, X2)) -> a__U11(mark(X1), X2) 1020.56/297.09 , mark(U12(X1, X2)) -> a__U12(mark(X1), X2) 1020.56/297.09 , mark(length(X)) -> a__length(mark(X)) 1020.56/297.09 , mark(U21(X1, X2, X3, X4)) -> a__U21(mark(X1), X2, X3, X4) 1020.56/297.09 , mark(U22(X1, X2, X3, X4)) -> a__U22(mark(X1), X2, X3, X4) 1020.56/297.09 , mark(U23(X1, X2, X3, X4)) -> a__U23(mark(X1), X2, X3, X4) 1020.56/297.09 , a__U21(X1, X2, X3, X4) -> U21(X1, X2, X3, X4) 1020.56/297.09 , a__U21(tt(), IL, M, N) -> a__U22(tt(), IL, M, N) 1020.56/297.09 , a__U22(X1, X2, X3, X4) -> U22(X1, X2, X3, X4) 1020.56/297.09 , a__U22(tt(), IL, M, N) -> a__U23(tt(), IL, M, N) 1020.56/297.09 , a__U23(X1, X2, X3, X4) -> U23(X1, X2, X3, X4) 1020.56/297.09 , a__U23(tt(), IL, M, N) -> cons(mark(N), take(M, IL)) 1020.56/297.09 , a__take(X1, X2) -> take(X1, X2) 1020.56/297.09 , a__take(0(), IL) -> nil() 1020.56/297.09 , a__take(s(M), cons(N, IL)) -> a__U21(tt(), IL, M, N) } 1020.56/297.09 Obligation: 1020.56/297.09 innermost runtime complexity 1020.56/297.09 Answer: 1020.56/297.09 MAYBE 1020.56/297.09 1020.56/297.09 None of the processors succeeded. 1020.56/297.09 1020.56/297.09 Details of failed attempt(s): 1020.56/297.09 ----------------------------- 1020.56/297.09 1) 'empty' failed due to the following reason: 1020.56/297.09 1020.56/297.09 Empty strict component of the problem is NOT empty. 1020.56/297.09 1020.56/297.09 2) 'Best' failed due to the following reason: 1020.56/297.09 1020.56/297.09 None of the processors succeeded. 1020.56/297.09 1020.56/297.09 Details of failed attempt(s): 1020.56/297.09 ----------------------------- 1020.56/297.09 1) 'With Problem ... (timeout of 297 seconds)' failed due to the 1020.56/297.09 following reason: 1020.56/297.09 1020.56/297.09 Computation stopped due to timeout after 297.0 seconds. 1020.56/297.09 1020.56/297.09 2) 'Best' failed due to the following reason: 1020.56/297.09 1020.56/297.09 None of the processors succeeded. 1020.56/297.09 1020.56/297.09 Details of failed attempt(s): 1020.56/297.09 ----------------------------- 1020.56/297.09 1) 'With Problem ... (timeout of 148 seconds) (timeout of 297 1020.56/297.09 seconds)' failed due to the following reason: 1020.56/297.09 1020.56/297.09 Computation stopped due to timeout after 148.0 seconds. 1020.56/297.09 1020.56/297.09 2) 'Fastest (timeout of 24 seconds) (timeout of 297 seconds)' 1020.56/297.09 failed due to the following reason: 1020.56/297.09 1020.56/297.09 Computation stopped due to timeout after 24.0 seconds. 1020.56/297.09 1020.56/297.09 3) 'Best' failed due to the following reason: 1020.56/297.09 1020.56/297.09 None of the processors succeeded. 1020.56/297.09 1020.56/297.09 Details of failed attempt(s): 1020.56/297.09 ----------------------------- 1020.56/297.09 1) 'bsearch-popstar (timeout of 297 seconds)' failed due to the 1020.56/297.09 following reason: 1020.56/297.09 1020.56/297.09 The input cannot be shown compatible 1020.56/297.09 1020.56/297.09 2) 'Polynomial Path Order (PS) (timeout of 297 seconds)' failed due 1020.56/297.09 to the following reason: 1020.56/297.09 1020.56/297.09 The input cannot be shown compatible 1020.56/297.09 1020.56/297.09 1020.56/297.09 1020.56/297.09 1020.56/297.09 1020.56/297.09 Arrrr.. 1023.73/300.05 EOF