MAYBE 1065.59/297.03 MAYBE 1065.59/297.03 1065.59/297.03 We are left with following problem, upon which TcT provides the 1065.59/297.03 certificate MAYBE. 1065.59/297.03 1065.59/297.03 Strict Trs: 1065.59/297.03 { qsort(nil()) -> nil() 1065.59/297.03 , qsort(cons(x, xs)) -> 1065.59/297.03 append(qsort(filterlow(last(cons(x, xs)), cons(x, xs))), 1065.59/297.03 cons(last(cons(x, xs)), 1065.59/297.03 qsort(filterhigh(last(cons(x, xs)), cons(x, xs))))) 1065.59/297.03 , append(nil(), ys()) -> ys() 1065.59/297.03 , append(cons(x, xs), ys()) -> cons(x, append(xs, ys())) 1065.59/297.03 , filterlow(n, nil()) -> nil() 1065.59/297.03 , filterlow(n, cons(x, xs)) -> if1(ge(n, x), n, x, xs) 1065.59/297.03 , last(nil()) -> 0() 1065.59/297.03 , last(cons(x, nil())) -> x 1065.59/297.03 , last(cons(x, cons(y, xs))) -> last(cons(y, xs)) 1065.59/297.03 , filterhigh(n, nil()) -> nil() 1065.59/297.03 , filterhigh(n, cons(x, xs)) -> if2(ge(x, n), n, x, xs) 1065.59/297.03 , if1(true(), n, x, xs) -> filterlow(n, xs) 1065.59/297.03 , if1(false(), n, x, xs) -> cons(x, filterlow(n, xs)) 1065.59/297.03 , ge(x, 0()) -> true() 1065.59/297.03 , ge(0(), s(x)) -> false() 1065.59/297.03 , ge(s(x), s(y)) -> ge(x, y) 1065.59/297.03 , if2(true(), n, x, xs) -> filterhigh(n, xs) 1065.59/297.03 , if2(false(), n, x, xs) -> cons(x, filterhigh(n, xs)) } 1065.59/297.03 Obligation: 1065.59/297.03 innermost runtime complexity 1065.59/297.03 Answer: 1065.59/297.03 MAYBE 1065.59/297.03 1065.59/297.03 None of the processors succeeded. 1065.59/297.03 1065.59/297.03 Details of failed attempt(s): 1065.59/297.03 ----------------------------- 1065.59/297.03 1) 'empty' failed due to the following reason: 1065.59/297.03 1065.59/297.03 Empty strict component of the problem is NOT empty. 1065.59/297.03 1065.59/297.03 2) 'Best' failed due to the following reason: 1065.59/297.03 1065.59/297.03 None of the processors succeeded. 1065.59/297.03 1065.59/297.03 Details of failed attempt(s): 1065.59/297.03 ----------------------------- 1065.59/297.03 1) 'With Problem ... (timeout of 297 seconds)' failed due to the 1065.59/297.03 following reason: 1065.59/297.03 1065.59/297.03 Computation stopped due to timeout after 297.0 seconds. 1065.59/297.03 1065.59/297.03 2) 'Best' failed due to the following reason: 1065.59/297.03 1065.59/297.03 None of the processors succeeded. 1065.59/297.03 1065.59/297.03 Details of failed attempt(s): 1065.59/297.03 ----------------------------- 1065.59/297.03 1) 'With Problem ... (timeout of 148 seconds) (timeout of 297 1065.59/297.03 seconds)' failed due to the following reason: 1065.59/297.03 1065.59/297.03 Computation stopped due to timeout after 148.0 seconds. 1065.59/297.03 1065.59/297.03 2) 'Best' failed due to the following reason: 1065.59/297.03 1065.59/297.03 None of the processors succeeded. 1065.59/297.03 1065.59/297.03 Details of failed attempt(s): 1065.59/297.03 ----------------------------- 1065.59/297.03 1) 'Polynomial Path Order (PS) (timeout of 297 seconds)' failed due 1065.59/297.03 to the following reason: 1065.59/297.03 1065.59/297.03 The input cannot be shown compatible 1065.59/297.03 1065.59/297.03 2) 'bsearch-popstar (timeout of 297 seconds)' failed due to the 1065.59/297.03 following reason: 1065.59/297.03 1065.59/297.03 The input cannot be shown compatible 1065.59/297.03 1065.59/297.03 1065.59/297.03 3) 'Fastest (timeout of 24 seconds) (timeout of 297 seconds)' 1065.59/297.03 failed due to the following reason: 1065.59/297.03 1065.59/297.03 None of the processors succeeded. 1065.59/297.03 1065.59/297.03 Details of failed attempt(s): 1065.59/297.03 ----------------------------- 1065.59/297.03 1) 'Bounds with minimal-enrichment and initial automaton 'match'' 1065.59/297.03 failed due to the following reason: 1065.59/297.03 1065.59/297.03 match-boundness of the problem could not be verified. 1065.59/297.03 1065.59/297.03 2) 'Bounds with perSymbol-enrichment and initial automaton 'match'' 1065.59/297.03 failed due to the following reason: 1065.59/297.03 1065.59/297.03 match-boundness of the problem could not be verified. 1065.59/297.03 1065.59/297.03 1065.59/297.03 1065.59/297.03 1065.59/297.03 1065.59/297.03 Arrrr.. 1066.04/297.44 EOF