MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { times(x, y) -> sum(generate(x, y)) , sum(xs) -> sum2(xs, 0()) , generate(x, y) -> gen(x, y, 0()) , gen(x, y, z) -> if(ge(z, x), x, y, z) , if(true(), x, y, z) -> nil() , if(false(), x, y, z) -> cons(y, gen(x, y, s(z))) , ge(x, 0()) -> true() , ge(0(), s(y)) -> false() , ge(s(x), s(y)) -> ge(x, y) , sum2(xs, y) -> ifsum(isNil(xs), isZero(head(xs)), xs, y) , ifsum(true(), b, xs, y) -> y , ifsum(false(), b, xs, y) -> ifsum2(b, xs, y) , isNil(nil()) -> true() , isNil(cons(x, xs)) -> false() , isZero(0()) -> true() , isZero(s(0())) -> false() , isZero(s(s(x))) -> isZero(s(x)) , head(nil()) -> error() , head(cons(x, xs)) -> x , ifsum2(true(), xs, y) -> sum2(tail(xs), y) , ifsum2(false(), xs, y) -> sum2(cons(p(head(xs)), tail(xs)), s(y)) , tail(nil()) -> nil() , tail(cons(x, xs)) -> xs , p(0()) -> s(s(0())) , p(s(0())) -> 0() , p(s(s(x))) -> s(p(s(x))) , a() -> c() , a() -> d() } 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) 'Polynomial Path Order (PS) (timeout of 60 seconds)' failed due to the following reason: The input cannot be shown compatible 2) 'bsearch-popstar (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..