MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { sum(cons(s(n), x), cons(m, y)) -> sum(cons(n, x), cons(s(m), y)) , sum(cons(0(), x), y) -> sum(x, y) , sum(nil(), y) -> y , empty(cons(n, x)) -> false() , empty(nil()) -> true() , tail(cons(n, x)) -> x , tail(nil()) -> nil() , head(cons(n, x)) -> n , weight(x) -> if(empty(x), empty(tail(x)), x) , if(true(), b, x) -> weight_undefined_error() , if(false(), b, x) -> if2(b, x) , if2(true(), x) -> head(x) , if2(false(), x) -> weight(sum(x, cons(0(), tail(tail(x))))) } 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..