MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { +(x, 0()) -> x , +(+(x, y), z) -> +(x, +(y, z)) , +(0(), x) -> x , +(s(x), s(y)) -> s(s(+(x, y))) , *(x, 0()) -> 0() , *(0(), x) -> 0() , *(s(x), s(y)) -> s(+(*(x, y), +(x, y))) , *(*(x, y), z) -> *(x, *(y, z)) , app(nil(), l) -> l , app(cons(x, l1), l2) -> cons(x, app(l1, l2)) , sum(app(l1, l2)) -> +(sum(l1), sum(l2)) , sum(nil()) -> 0() , sum(cons(x, l)) -> +(x, sum(l)) , prod(app(l1, l2)) -> *(prod(l1), prod(l2)) , prod(nil()) -> s(0()) , prod(cons(x, l)) -> *(x, prod(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) '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 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..