MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { a__and(X1, X2) -> and(X1, X2) , a__and(tt(), X) -> mark(X) , mark(tt()) -> tt() , mark(0()) -> 0() , mark(s(X)) -> s(mark(X)) , mark(and(X1, X2)) -> a__and(mark(X1), X2) , mark(plus(X1, X2)) -> a__plus(mark(X1), mark(X2)) , a__plus(X1, X2) -> plus(X1, X2) , a__plus(N, 0()) -> mark(N) , a__plus(N, s(M)) -> s(a__plus(mark(N), mark(M))) } Obligation: innermost runtime complexity Answer: MAYBE The input cannot be shown compatible Arrrr..