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