MAYBE 967.69/297.04 MAYBE 967.69/297.04 967.69/297.04 We are left with following problem, upon which TcT provides the 967.69/297.04 certificate MAYBE. 967.69/297.04 967.69/297.04 Strict Trs: 967.69/297.04 { isEmpty(cons(x, xs)) -> false() 967.69/297.04 , isEmpty(nil()) -> true() 967.69/297.04 , isZero(0()) -> true() 967.69/297.04 , isZero(s(x)) -> false() 967.69/297.04 , head(cons(x, xs)) -> x 967.69/297.04 , tail(cons(x, xs)) -> xs 967.69/297.04 , tail(nil()) -> nil() 967.69/297.04 , append(cons(y, ys), x) -> cons(y, append(ys, x)) 967.69/297.04 , append(nil(), x) -> cons(x, nil()) 967.69/297.04 , p(0()) -> 0() 967.69/297.04 , p(s(0())) -> 0() 967.69/297.04 , p(s(s(x))) -> s(p(s(x))) 967.69/297.04 , inc(0()) -> s(0()) 967.69/297.04 , inc(s(x)) -> s(inc(x)) 967.69/297.04 , addLists(xs, ys, zs) -> 967.69/297.04 if(isEmpty(xs), 967.69/297.04 isEmpty(ys), 967.69/297.04 isZero(head(xs)), 967.69/297.04 tail(xs), 967.69/297.04 tail(ys), 967.69/297.04 cons(p(head(xs)), tail(xs)), 967.69/297.04 cons(inc(head(ys)), tail(ys)), 967.69/297.04 zs, 967.69/297.04 append(zs, head(ys))) 967.69/297.04 , if(false(), false(), false(), xs, ys, xs2, ys2, zs, zs2) -> 967.69/297.04 addLists(xs2, ys2, zs) 967.69/297.04 , if(false(), false(), true(), xs, ys, xs2, ys2, zs, zs2) -> 967.69/297.04 addLists(xs, ys, zs2) 967.69/297.04 , if(false(), true(), b, xs, ys, xs2, ys2, zs, zs2) -> 967.69/297.04 differentLengthError() 967.69/297.04 , if(true(), false(), b, xs, ys, xs2, ys2, zs, zs2) -> 967.69/297.04 differentLengthError() 967.69/297.04 , if(true(), true(), b, xs, ys, xs2, ys2, zs, zs2) -> zs 967.69/297.04 , addList(xs, ys) -> addLists(xs, ys, nil()) } 967.69/297.04 Obligation: 967.69/297.04 innermost runtime complexity 967.69/297.04 Answer: 967.69/297.04 MAYBE 967.69/297.04 967.69/297.04 None of the processors succeeded. 967.69/297.04 967.69/297.04 Details of failed attempt(s): 967.69/297.04 ----------------------------- 967.69/297.04 1) 'empty' failed due to the following reason: 967.69/297.04 967.69/297.04 Empty strict component of the problem is NOT empty. 967.69/297.04 967.69/297.04 2) 'Best' failed due to the following reason: 967.69/297.04 967.69/297.04 None of the processors succeeded. 967.69/297.04 967.69/297.04 Details of failed attempt(s): 967.69/297.04 ----------------------------- 967.69/297.04 1) 'With Problem ... (timeout of 297 seconds)' failed due to the 967.69/297.04 following reason: 967.69/297.04 967.69/297.04 Computation stopped due to timeout after 297.0 seconds. 967.69/297.04 967.69/297.04 2) 'Best' failed due to the following reason: 967.69/297.04 967.69/297.04 None of the processors succeeded. 967.69/297.04 967.69/297.04 Details of failed attempt(s): 967.69/297.04 ----------------------------- 967.69/297.04 1) 'With Problem ... (timeout of 148 seconds) (timeout of 297 967.69/297.04 seconds)' failed due to the following reason: 967.69/297.04 967.69/297.04 Computation stopped due to timeout after 148.0 seconds. 967.69/297.04 967.69/297.04 2) 'Best' failed due to the following reason: 967.69/297.04 967.69/297.04 None of the processors succeeded. 967.69/297.04 967.69/297.04 Details of failed attempt(s): 967.69/297.04 ----------------------------- 967.69/297.04 1) 'bsearch-popstar (timeout of 297 seconds)' failed due to the 967.69/297.04 following reason: 967.69/297.04 967.69/297.04 The input cannot be shown compatible 967.69/297.04 967.69/297.04 2) 'Polynomial Path Order (PS) (timeout of 297 seconds)' failed due 967.69/297.04 to the following reason: 967.69/297.04 967.69/297.04 The input cannot be shown compatible 967.69/297.04 967.69/297.04 967.69/297.04 3) 'Fastest (timeout of 24 seconds) (timeout of 297 seconds)' 967.69/297.04 failed due to the following reason: 967.69/297.04 967.69/297.04 None of the processors succeeded. 967.69/297.04 967.69/297.04 Details of failed attempt(s): 967.69/297.04 ----------------------------- 967.69/297.04 1) 'Bounds with minimal-enrichment and initial automaton 'match'' 967.69/297.04 failed due to the following reason: 967.69/297.04 967.69/297.04 match-boundness of the problem could not be verified. 967.69/297.04 967.69/297.04 2) 'Bounds with perSymbol-enrichment and initial automaton 'match'' 967.69/297.04 failed due to the following reason: 967.69/297.04 967.69/297.04 match-boundness of the problem could not be verified. 967.69/297.04 967.69/297.04 967.69/297.04 967.69/297.04 967.69/297.04 967.69/297.04 Arrrr.. 968.27/297.60 EOF