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) h#(F, G, s(Y)) => if#(F(Y), Y, 0) (2) h#(F, G, s(Y)) => h#(F, G, if(F(Y), Y, 0)) ***** We apply the Graph Processor on P1. There is only one SCC, so all DPs not inside the SCC can be removed: P2. (1) h#(F, G, s(Y)) => h#(F, G, if(F(Y), Y, 0)) ***** No progress could be made on DP problem P2.