MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { p(s(x)) -> x , fact(s(x)) -> *(s(x), fact(p(s(x)))) , fact(0()) -> s(0()) , *(s(x), y) -> +(*(x, y), y) , *(0(), y) -> 0() , +(x, s(y)) -> s(+(x, y)) , +(x, 0()) -> x } Obligation: innermost runtime complexity Answer: MAYBE The input cannot be shown compatible Arrrr..