YES * Step 1: UnsatPaths YES + Considered Problem: Rules: 0. f0(A,B,C,D,E,F,G,H,I) -> f7(30,30,1,0,2,F,G,H,I) True (1,1) 1. f7(A,B,C,D,E,F,G,H,I) -> f7(A,B,C + D,C,1 + E,C,G,H,I) [B >= E] (?,1) 2. f7(A,B,C,D,E,F,G,H,I) -> f19(A,B,C,D,E,F,C,C,C) [E >= 1 + B] (?,1) Signature: {(f0,9);(f19,9);(f7,9)} Flow Graph: [0->{1,2},1->{1,2},2->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(0,2)] * Step 2: FromIts YES + Considered Problem: Rules: 0. f0(A,B,C,D,E,F,G,H,I) -> f7(30,30,1,0,2,F,G,H,I) True (1,1) 1. f7(A,B,C,D,E,F,G,H,I) -> f7(A,B,C + D,C,1 + E,C,G,H,I) [B >= E] (?,1) 2. f7(A,B,C,D,E,F,G,H,I) -> f19(A,B,C,D,E,F,C,C,C) [E >= 1 + B] (?,1) Signature: {(f0,9);(f19,9);(f7,9)} Flow Graph: [0->{1},1->{1,2},2->{}] + Applied Processor: FromIts + Details: () * Step 3: Decompose YES + Considered Problem: Rules: f0(A,B,C,D,E,F,G,H,I) -> f7(30,30,1,0,2,F,G,H,I) True f7(A,B,C,D,E,F,G,H,I) -> f7(A,B,C + D,C,1 + E,C,G,H,I) [B >= E] f7(A,B,C,D,E,F,G,H,I) -> f19(A,B,C,D,E,F,C,C,C) [E >= 1 + B] Signature: {(f0,9);(f19,9);(f7,9)} Rule Graph: [0->{1},1->{1,2},2->{}] + Applied Processor: Decompose NoGreedy + Details: We construct a looptree: P: [0,1,2] | `- p:[1] c: [1] * Step 4: CloseWith YES + Considered Problem: (Rules: f0(A,B,C,D,E,F,G,H,I) -> f7(30,30,1,0,2,F,G,H,I) True f7(A,B,C,D,E,F,G,H,I) -> f7(A,B,C + D,C,1 + E,C,G,H,I) [B >= E] f7(A,B,C,D,E,F,G,H,I) -> f19(A,B,C,D,E,F,C,C,C) [E >= 1 + B] Signature: {(f0,9);(f19,9);(f7,9)} Rule Graph: [0->{1},1->{1,2},2->{}] ,We construct a looptree: P: [0,1,2] | `- p:[1] c: [1]) + Applied Processor: CloseWith True + Details: () YES