NO Problem: 2nd(cons1(X,cons(Y,Z))) -> Y 2nd(cons(X,X1)) -> 2nd(cons1(X,X1)) from(X) -> cons(X,from(s(X))) Proof: Containment Processor: loop length: 1 terms: from(X) context: cons(X,[]) substitution: X -> s(X) Qed