TRS: { first(0(), X) -> nil(), first(s(X), cons(Y)) -> cons(Y), from(X) -> cons(X)} POP*: Precedence: first > nil, from > cons empty Normal: pi(from) = [1], pi(first) = [1,2] Safe: pi(s) = [1], pi(cons) = [1] Predicative System: { first(0(),X;) -> nil(), first(s(;X),cons(;Y);) -> cons(;Y), from(X;) -> cons(;X)} Qed