MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { from(X) -> cons(X, n__from(s(X))) , from(X) -> n__from(X) , sel(s(N), cons(X, XS)) -> sel(N, activate(XS)) , sel(0(), cons(X, XS)) -> X , activate(X) -> X , activate(n__from(X)) -> from(X) , activate(n__zWquot(X1, X2)) -> zWquot(X1, X2) , minus(X, 0()) -> 0() , minus(s(X), s(Y)) -> minus(X, Y) , quot(s(X), s(Y)) -> s(quot(minus(X, Y), s(Y))) , quot(0(), s(Y)) -> 0() , zWquot(X1, X2) -> n__zWquot(X1, X2) , zWquot(XS, nil()) -> nil() , zWquot(cons(X, XS), cons(Y, YS)) -> cons(quot(X, Y), n__zWquot(activate(XS), activate(YS))) , zWquot(nil(), XS) -> nil() } Obligation: innermost runtime complexity Answer: MAYBE The input cannot be shown compatible Arrrr..