MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { fst(X1, X2) -> n__fst(X1, X2) , fst(0(), Z) -> nil() , fst(s(X), cons(Y, Z)) -> cons(Y, n__fst(activate(X), activate(Z))) , activate(X) -> X , activate(n__fst(X1, X2)) -> fst(X1, X2) , activate(n__from(X)) -> from(X) , activate(n__add(X1, X2)) -> add(X1, X2) , activate(n__len(X)) -> len(X) , from(X) -> cons(X, n__from(s(X))) , from(X) -> n__from(X) , add(X1, X2) -> n__add(X1, X2) , add(0(), X) -> X , add(s(X), Y) -> s(n__add(activate(X), Y)) , len(X) -> n__len(X) , len(nil()) -> 0() , len(cons(X, Z)) -> s(n__len(activate(Z))) } Obligation: innermost runtime complexity Answer: MAYBE The input cannot be shown compatible Arrrr..