MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { prod(xs) -> prodIter(xs, s(0())) , prodIter(xs, x) -> ifProd(isempty(xs), xs, x) , ifProd(true(), xs, x) -> x , ifProd(false(), xs, x) -> prodIter(tail(xs), times(x, head(xs))) , isempty(nil()) -> true() , isempty(cons(x, xs)) -> false() , tail(nil()) -> nil() , tail(cons(x, xs)) -> xs , times(x, y) -> timesIter(x, y, 0(), 0()) , head(nil()) -> error() , head(cons(x, xs)) -> x , plus(s(x), y) -> s(plus(x, y)) , plus(0(), y) -> y , timesIter(x, y, z, u) -> ifTimes(ge(u, x), x, y, z, u) , ifTimes(true(), x, y, z, u) -> z , ifTimes(false(), x, y, z, u) -> timesIter(x, y, plus(y, z), s(u)) , ge(x, 0()) -> true() , ge(s(x), s(y)) -> ge(x, y) , ge(0(), s(y)) -> false() , a() -> b() , a() -> c() } 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..