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