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) until#(J, I, X1) => until#(J, I, I(X1)) (2) until#(J, I, X1) => if#(J(X1), X1, until(J, I, I(X1))) ***** We apply the Graph Processor on P1. There is only one SCC, so all DPs not inside the SCC can be removed: P2. (1) until#(J, I, X1) => until#(J, I, I(X1)) ***** No progress could be made on DP problem P2.