MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { zeros() -> cons(0(), n__zeros()) , zeros() -> n__zeros() , U11(tt(), L) -> U12(tt(), activate(L)) , U12(tt(), L) -> s(length(activate(L))) , activate(X) -> X , activate(n__zeros()) -> zeros() , activate(n__take(X1, X2)) -> take(X1, X2) , length(cons(N, L)) -> U11(tt(), activate(L)) , length(nil()) -> 0() , U21(tt(), IL, M, N) -> U22(tt(), activate(IL), activate(M), activate(N)) , U22(tt(), IL, M, N) -> U23(tt(), activate(IL), activate(M), activate(N)) , U23(tt(), IL, M, N) -> cons(activate(N), n__take(activate(M), activate(IL))) , take(X1, X2) -> n__take(X1, X2) , take(0(), IL) -> nil() , take(s(M), cons(N, IL)) -> U21(tt(), activate(IL), M, N) } Obligation: innermost runtime complexity Answer: MAYBE The input cannot be shown compatible Arrrr..