Problem: from(X) -> cons(X,from(s(X))) first(0(),Z) -> nil() first(s(X),cons(Y,Z)) -> cons(Y,first(X,Z)) sel(0(),cons(X,Z)) -> X sel(s(X),cons(Y,Z)) -> sel(X,Z) Proof: Containment Processor: loop length: 1 terms: from(X) context: cons(X,[]) substitution: X -> s(X) Qed