MAYBE * Step 1: UnsatPaths MAYBE + Considered Problem: Rules: 0. f2(A,B,C,D,E,F,G,H,I,J) -> f2(A,B,K,L,M,F,G,H,I,J) [B >= 1 + A] (?,1) 1. f2(A,B,C,D,E,F,G,H,I,J) -> f300(A,B,K,L,E,M,G,H,I,J) [A >= B] (?,1) 2. f1(A,B,C,D,E,F,G,H,I,J) -> f2(A,B,C,D,E,F,K,L,L,K) True (1,1) Signature: {(f1,10);(f2,10);(f300,10)} Flow Graph: [0->{0,1},1->{},2->{0,1}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(0,1)] * Step 2: FromIts MAYBE + Considered Problem: Rules: 0. f2(A,B,C,D,E,F,G,H,I,J) -> f2(A,B,K,L,M,F,G,H,I,J) [B >= 1 + A] (?,1) 1. f2(A,B,C,D,E,F,G,H,I,J) -> f300(A,B,K,L,E,M,G,H,I,J) [A >= B] (?,1) 2. f1(A,B,C,D,E,F,G,H,I,J) -> f2(A,B,C,D,E,F,K,L,L,K) True (1,1) Signature: {(f1,10);(f2,10);(f300,10)} Flow Graph: [0->{0},1->{},2->{0,1}] + Applied Processor: FromIts + Details: () * Step 3: Unfold MAYBE + Considered Problem: Rules: f2(A,B,C,D,E,F,G,H,I,J) -> f2(A,B,K,L,M,F,G,H,I,J) [B >= 1 + A] f2(A,B,C,D,E,F,G,H,I,J) -> f300(A,B,K,L,E,M,G,H,I,J) [A >= B] f1(A,B,C,D,E,F,G,H,I,J) -> f2(A,B,C,D,E,F,K,L,L,K) True Signature: {(f1,10);(f2,10);(f300,10)} Rule Graph: [0->{0},1->{},2->{0,1}] + Applied Processor: Unfold + Details: () * Step 4: AddSinks MAYBE + Considered Problem: Rules: f2.0(A,B,C,D,E,F,G,H,I,J) -> f2.0(A,B,K,L,M,F,G,H,I,J) [B >= 1 + A] f2.1(A,B,C,D,E,F,G,H,I,J) -> f300.3(A,B,K,L,E,M,G,H,I,J) [A >= B] f1.2(A,B,C,D,E,F,G,H,I,J) -> f2.0(A,B,C,D,E,F,K,L,L,K) True f1.2(A,B,C,D,E,F,G,H,I,J) -> f2.1(A,B,C,D,E,F,K,L,L,K) True Signature: {(f1.2,10);(f2.0,10);(f2.1,10);(f300.3,10)} Rule Graph: [0->{0},1->{},2->{0},3->{1}] + Applied Processor: AddSinks + Details: () * Step 5: Failure MAYBE + Considered Problem: Rules: f2.0(A,B,C,D,E,F,G,H,I,J) -> f2.0(A,B,K,L,M,F,G,H,I,J) [B >= 1 + A] f2.1(A,B,C,D,E,F,G,H,I,J) -> f300.3(A,B,K,L,E,M,G,H,I,J) [A >= B] f1.2(A,B,C,D,E,F,G,H,I,J) -> f2.0(A,B,C,D,E,F,K,L,L,K) True f1.2(A,B,C,D,E,F,G,H,I,J) -> f2.1(A,B,C,D,E,F,K,L,L,K) True f300.3(A,B,C,D,E,F,G,H,I,J) -> exitus616(A,B,C,D,E,F,G,H,I,J) True f2.0(A,B,C,D,E,F,G,H,I,J) -> exitus616(A,B,C,D,E,F,G,H,I,J) True Signature: {(exitus616,10);(f1.2,10);(f2.0,10);(f2.1,10);(f300.3,10)} Rule Graph: [0->{0,5},1->{4},2->{0},3->{1}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4,5] | `- p:[0] c: [] MAYBE