MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { empty(nil()) -> true() , empty(cons(x, y)) -> false() , tail(nil()) -> nil() , tail(cons(x, y)) -> y , head(cons(x, y)) -> x , zero(0()) -> true() , zero(s(x)) -> false() , p(0()) -> 0() , p(s(0())) -> 0() , p(s(s(x))) -> s(p(s(x))) , intlist(x) -> if_intlist(empty(x), x) , if_intlist(true(), x) -> nil() , if_intlist(false(), x) -> cons(s(head(x)), intlist(tail(x))) , int(x, y) -> if_int(zero(x), zero(y), x, y) , if_int(true(), b, x, y) -> if1(b, x, y) , if_int(false(), b, x, y) -> if2(b, x, y) , if1(true(), x, y) -> cons(0(), nil()) , if1(false(), x, y) -> cons(0(), int(s(0()), y)) , if2(true(), x, y) -> nil() , if2(false(), x, y) -> intlist(int(p(x), p(y))) } 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) 'bsearch-popstar (timeout of 60 seconds)' failed due to the following reason: The input cannot be shown compatible 2) 'Polynomial Path Order (PS) (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..