MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { a(l, x, s(y), h()) -> a(l, x, y, s(h())) , a(l, x, s(y), s(z)) -> a(l, x, y, a(l, x, s(y), z)) , a(l, s(x), h(), z) -> a(l, x, z, z) , a(h(), h(), h(), x) -> s(x) , a(s(l), h(), h(), z) -> a(l, z, h(), z) , s(h()) -> 1() , +(x, h()) -> x , +(h(), x) -> x , +(s(x), s(y)) -> s(s(+(x, y))) , +(+(x, y), z) -> +(x, +(y, z)) , app(l, nil()) -> l , app(nil(), k) -> k , app(cons(x, l), k) -> cons(x, app(l, k)) , sum(cons(x, nil())) -> cons(x, nil()) , sum(cons(x, cons(y, l))) -> sum(cons(a(x, y, h(), h()), 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..