MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { min(0(), y) -> 0() , min(s(x), 0()) -> 0() , min(s(x), s(y)) -> min(x, y) , len(nil()) -> 0() , len(cons(x, xs)) -> s(len(xs)) , sum(x, 0()) -> x , sum(x, s(y)) -> s(sum(x, y)) , le(0(), x) -> true() , le(s(x), 0()) -> false() , le(s(x), s(y)) -> le(x, y) , take(0(), cons(y, ys)) -> y , take(s(x), cons(y, ys)) -> take(x, ys) , addList(x, y) -> if(le(0(), min(len(x), len(y))), 0(), x, y, nil()) , if(true(), c, xs, ys, z) -> if(le(s(c), min(len(xs), len(ys))), s(c), xs, ys, cons(sum(take(c, xs), take(c, ys)), z)) , if(false(), c, x, y, z) -> z } 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 perSymbol-enrichment and initial automaton 'match'' failed due to the following reason: match-boundness of the problem could not be verified. 2) 'Bounds with minimal-enrichment and initial automaton 'match'' failed due to the following reason: match-boundness of the problem could not be verified. Arrrr..