MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { le(0(), Y) -> true() , le(s(X), 0()) -> false() , le(s(X), s(Y)) -> le(X, Y) , app(nil(), Y) -> Y , app(cons(N, L), Y) -> cons(N, app(L, Y)) , low(N, nil()) -> nil() , low(N, cons(M, L)) -> iflow(le(M, N), N, cons(M, L)) , iflow(true(), N, cons(M, L)) -> cons(M, low(N, L)) , iflow(false(), N, cons(M, L)) -> low(N, L) , high(N, nil()) -> nil() , high(N, cons(M, L)) -> ifhigh(le(M, N), N, cons(M, L)) , ifhigh(true(), N, cons(M, L)) -> high(N, L) , ifhigh(false(), N, cons(M, L)) -> cons(M, high(N, L)) , quicksort(nil()) -> nil() , quicksort(cons(N, L)) -> app(quicksort(low(N, L)), cons(N, quicksort(high(N, L)))) } Obligation: innermost runtime complexity Answer: MAYBE None of the processors succeeded. Details of failed attempt(s): ----------------------------- 1) 'empty' failed due to the following reason: Empty strict component of the problem is NOT empty. 2) 'Best' failed due to the following reason: None of the processors succeeded. Details of failed attempt(s): ----------------------------- 1) 'WithProblem (timeout of 60 seconds)' failed due to the following reason: Computation stopped due to timeout after 60.0 seconds. 2) 'Best' failed due to the following reason: None of the processors succeeded. Details of failed attempt(s): ----------------------------- 1) 'WithProblem (timeout of 30 seconds) (timeout of 60 seconds)' failed due to the following reason: Computation stopped due to timeout after 30.0 seconds. 2) 'Best' failed due to the following reason: None of the processors succeeded. Details of failed attempt(s): ----------------------------- 1) 'bsearch-popstar (timeout of 60 seconds)' failed due to the following reason: The input cannot be shown compatible 2) 'Polynomial Path Order (PS) (timeout of 60 seconds)' failed due to the following reason: The input cannot be shown compatible 3) 'Fastest (timeout of 5 seconds) (timeout of 60 seconds)' failed due to the following reason: None of the processors succeeded. Details of failed attempt(s): ----------------------------- 1) 'Bounds with minimal-enrichment and initial automaton 'match'' failed due to the following reason: match-boundness of the problem could not be verified. 2) 'Bounds with perSymbol-enrichment and initial automaton 'match'' failed due to the following reason: match-boundness of the problem could not be verified. Arrrr..