YES * Step 1: FromIts YES + Considered Problem: Rules: 0. f300(A,B,C) -> f300(1 + A,B,C) [B >= 1 + A] (?,1) 1. f300(A,B,C) -> f1(A,B,D) [A >= B] (?,1) 2. f2(A,B,C) -> f300(A,B,C) True (1,1) Signature: {(f1,3);(f2,3);(f300,3)} Flow Graph: [0->{0,1},1->{},2->{0,1}] + Applied Processor: FromIts + Details: () * Step 2: Decompose YES + Considered Problem: Rules: f300(A,B,C) -> f300(1 + A,B,C) [B >= 1 + A] f300(A,B,C) -> f1(A,B,D) [A >= B] f2(A,B,C) -> f300(A,B,C) True Signature: {(f1,3);(f2,3);(f300,3)} Rule Graph: [0->{0,1},1->{},2->{0,1}] + Applied Processor: Decompose NoGreedy + Details: We construct a looptree: P: [0,1,2] | `- p:[0] c: [0] * Step 3: CloseWith YES + Considered Problem: (Rules: f300(A,B,C) -> f300(1 + A,B,C) [B >= 1 + A] f300(A,B,C) -> f1(A,B,D) [A >= B] f2(A,B,C) -> f300(A,B,C) True Signature: {(f1,3);(f2,3);(f300,3)} Rule Graph: [0->{0,1},1->{},2->{0,1}] ,We construct a looptree: P: [0,1,2] | `- p:[0] c: [0]) + Applied Processor: CloseWith True + Details: () YES