MAYBE * Step 1: UnsatPaths MAYBE + Considered Problem: Rules: 0. f2(A,B,C,D,E,F,G) -> f1(A,B,C,D,E,H,H) True (1,1) 1. f1(A,B,C,D,E,F,G) -> f300(A,B,H,D,I,F,G) [B >= A] (?,1) 2. f1(A,B,C,D,E,F,G) -> f1(A,B,H,I,E,F,G) [A >= 1 + B] (?,1) Signature: {(f1,7);(f2,7);(f300,7)} Flow Graph: [0->{1,2},1->{},2->{1,2}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(2,1)] * Step 2: FromIts MAYBE + Considered Problem: Rules: 0. f2(A,B,C,D,E,F,G) -> f1(A,B,C,D,E,H,H) True (1,1) 1. f1(A,B,C,D,E,F,G) -> f300(A,B,H,D,I,F,G) [B >= A] (?,1) 2. f1(A,B,C,D,E,F,G) -> f1(A,B,H,I,E,F,G) [A >= 1 + B] (?,1) Signature: {(f1,7);(f2,7);(f300,7)} Flow Graph: [0->{1,2},1->{},2->{2}] + Applied Processor: FromIts + Details: () * Step 3: Unfold MAYBE + Considered Problem: Rules: f2(A,B,C,D,E,F,G) -> f1(A,B,C,D,E,H,H) True f1(A,B,C,D,E,F,G) -> f300(A,B,H,D,I,F,G) [B >= A] f1(A,B,C,D,E,F,G) -> f1(A,B,H,I,E,F,G) [A >= 1 + B] Signature: {(f1,7);(f2,7);(f300,7)} Rule Graph: [0->{1,2},1->{},2->{2}] + Applied Processor: Unfold + Details: () * Step 4: AddSinks MAYBE + Considered Problem: Rules: f2.0(A,B,C,D,E,F,G) -> f1.1(A,B,C,D,E,H,H) True f2.0(A,B,C,D,E,F,G) -> f1.2(A,B,C,D,E,H,H) True f1.1(A,B,C,D,E,F,G) -> f300.3(A,B,H,D,I,F,G) [B >= A] f1.2(A,B,C,D,E,F,G) -> f1.2(A,B,H,I,E,F,G) [A >= 1 + B] Signature: {(f1.1,7);(f1.2,7);(f2.0,7);(f300.3,7)} Rule Graph: [0->{2},1->{3},2->{},3->{3}] + Applied Processor: AddSinks + Details: () * Step 5: Failure MAYBE + Considered Problem: Rules: f2.0(A,B,C,D,E,F,G) -> f1.1(A,B,C,D,E,H,H) True f2.0(A,B,C,D,E,F,G) -> f1.2(A,B,C,D,E,H,H) True f1.1(A,B,C,D,E,F,G) -> f300.3(A,B,H,D,I,F,G) [B >= A] f1.2(A,B,C,D,E,F,G) -> f1.2(A,B,H,I,E,F,G) [A >= 1 + B] f1.2(A,B,C,D,E,F,G) -> exitus616(A,B,C,D,E,F,G) True f300.3(A,B,C,D,E,F,G) -> exitus616(A,B,C,D,E,F,G) True Signature: {(exitus616,7);(f1.1,7);(f1.2,7);(f2.0,7);(f300.3,7)} Rule Graph: [0->{2},1->{3},2->{5},3->{3,4}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4,5] | `- p:[3] c: [] MAYBE