MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { p(0()) -> 0() , p(s(X)) -> X , leq(0(), Y) -> true() , leq(s(X), 0()) -> false() , leq(s(X), s(Y)) -> leq(X, Y) , if(true(), X, Y) -> X , if(false(), X, Y) -> Y , diff(X, Y) -> if(leq(X, Y), 0(), s(diff(p(X), Y))) } Obligation: innermost runtime complexity Answer: MAYBE The input cannot be shown compatible Arrrr..