MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { car(cons(x, l)) -> x , cddr(cons(x, cons(y, l))) -> l , cddr(cons(x, nil())) -> nil() , cddr(nil()) -> nil() , cadr(cons(x, cons(y, l))) -> y , isZero(0()) -> true() , isZero(s(x)) -> false() , plus(x, y) -> ifplus(isZero(x), x, y) , ifplus(true(), x, y) -> y , ifplus(false(), x, y) -> s(plus(p(x), y)) , p(0()) -> 0() , p(s(x)) -> x , times(x, y) -> iftimes(isZero(x), x, y) , iftimes(true(), x, y) -> 0() , iftimes(false(), x, y) -> plus(y, times(p(x), y)) , shorter(cons(x, l), 0()) -> false() , shorter(cons(x, l), s(y)) -> shorter(l, y) , shorter(nil(), y) -> true() , prod(l) -> if(shorter(l, 0()), shorter(l, s(0())), l) , if(true(), b, l) -> s(0()) , if(false(), b, l) -> if2(b, l) , if2(true(), l) -> car(l) , if2(false(), l) -> prod(cons(times(car(l), cadr(l)), cddr(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 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..