MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { mergesort(Nil()) -> Nil() , mergesort(Cons(x, Nil())) -> Cons(x, Nil()) , mergesort(Cons(x', Cons(x, xs))) -> splitmerge(Cons(x', Cons(x, xs)), Nil(), Nil()) , merge(Nil(), xs2) -> xs2 , merge(Cons(x, xs), Nil()) -> Cons(x, xs) , merge(Cons(x', xs'), Cons(x, xs)) -> merge[Ite][True][Ite][True][Ite](<=(x', x), Cons(x', xs'), Cons(x, xs)) , splitmerge(Nil(), xs1, xs2) -> merge(mergesort(xs1), mergesort(xs2)) , splitmerge(Cons(x, xs), xs1, xs2) -> splitmerge(xs, Cons(x, xs2), xs1) , notEmpty(Nil()) -> False() , notEmpty(Cons(x, xs)) -> True() , goal(xs) -> mergesort(xs) } Weak Trs: { <=(S(x), S(y)) -> <=(x, y) , <=(S(x), 0()) -> False() , <=(0(), y) -> True() } 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..