YES We show the termination of the TRS R: first(|0|(),X) -> nil() first(s(X),cons(Y)) -> cons(Y) from(X) -> cons(X) -- SCC decomposition. Consider the dependency pair problem (P, R), where P consists of (no rules) and R consists of: r1: first(|0|(),X) -> nil() r2: first(s(X),cons(Y)) -> cons(Y) r3: from(X) -> cons(X) The estimated dependency graph contains the following SCCs: (no SCCs)