The system is accessible function passing by a sort ordering with funlist ≻ Int. We start by computing the following initial DP problem: P1. (1) complist#(fcons(F, t), x) => complist#(t, F(x)) ***** We apply the Subterm Criterion Processor on P1. We use the following projection function: nu(complist#) = 1 We thus have: (1) fcons(F, t) |>| t All DPs are strictly oriented, and may be removed. Hence, this DP problem is finite.