The system is accessible function passing by a sort ordering that equates all sorts. We start by computing the following initial DP problem: P1. (1) minus#(s(U), s(V)) => minus#(U, V) ***** We apply the Subterm Criterion Processor on P1. We use the following projection function: nu(minus#) = 1 We thus have: (1) s(U) |>| U All DPs are strictly oriented, and may be removed. Hence, this DP problem is finite.