MAYBE * Step 1: UnsatPaths MAYBE + Considered Problem: Rules: 0. f2(A,B,C,D,E,F,G,H,I) -> f1(A,B,C,D,E,F,G,K,L) True (1,1) 1. f1(A,B,C,D,E,F,G,H,I) -> f300(A,B,K,L,E,F,J,H,I) [A >= B] (?,1) 2. f1(A,B,C,D,E,F,G,H,I) -> f1(A,B,K,L,0,F,G,H,I) [B >= 1 + A] (?,1) 3. f1(A,B,C,D,E,F,G,H,I) -> f1(A,B,K,L,J,M,G,H,I) [0 >= 1 + J && B >= 1 + A] (?,1) 4. f1(A,B,C,D,E,F,G,H,I) -> f1(A,B,K,L,J,M,G,H,I) [J >= 1 && B >= 1 + A] (?,1) Signature: {(f1,9);(f2,9);(f300,9)} Flow Graph: [0->{1,2,3,4},1->{},2->{1,2,3,4},3->{1,2,3,4},4->{1,2,3,4}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(2,1),(3,1),(4,1)] * Step 2: FromIts MAYBE + Considered Problem: Rules: 0. f2(A,B,C,D,E,F,G,H,I) -> f1(A,B,C,D,E,F,G,K,L) True (1,1) 1. f1(A,B,C,D,E,F,G,H,I) -> f300(A,B,K,L,E,F,J,H,I) [A >= B] (?,1) 2. f1(A,B,C,D,E,F,G,H,I) -> f1(A,B,K,L,0,F,G,H,I) [B >= 1 + A] (?,1) 3. f1(A,B,C,D,E,F,G,H,I) -> f1(A,B,K,L,J,M,G,H,I) [0 >= 1 + J && B >= 1 + A] (?,1) 4. f1(A,B,C,D,E,F,G,H,I) -> f1(A,B,K,L,J,M,G,H,I) [J >= 1 && B >= 1 + A] (?,1) Signature: {(f1,9);(f2,9);(f300,9)} Flow Graph: [0->{1,2,3,4},1->{},2->{2,3,4},3->{2,3,4},4->{2,3,4}] + Applied Processor: FromIts + Details: () * Step 3: Unfold MAYBE + Considered Problem: Rules: f2(A,B,C,D,E,F,G,H,I) -> f1(A,B,C,D,E,F,G,K,L) True f1(A,B,C,D,E,F,G,H,I) -> f300(A,B,K,L,E,F,J,H,I) [A >= B] f1(A,B,C,D,E,F,G,H,I) -> f1(A,B,K,L,0,F,G,H,I) [B >= 1 + A] f1(A,B,C,D,E,F,G,H,I) -> f1(A,B,K,L,J,M,G,H,I) [0 >= 1 + J && B >= 1 + A] f1(A,B,C,D,E,F,G,H,I) -> f1(A,B,K,L,J,M,G,H,I) [J >= 1 && B >= 1 + A] Signature: {(f1,9);(f2,9);(f300,9)} Rule Graph: [0->{1,2,3,4},1->{},2->{2,3,4},3->{2,3,4},4->{2,3,4}] + Applied Processor: Unfold + Details: () * Step 4: AddSinks MAYBE + Considered Problem: Rules: f2.0(A,B,C,D,E,F,G,H,I) -> f1.1(A,B,C,D,E,F,G,K,L) True f2.0(A,B,C,D,E,F,G,H,I) -> f1.2(A,B,C,D,E,F,G,K,L) True f2.0(A,B,C,D,E,F,G,H,I) -> f1.3(A,B,C,D,E,F,G,K,L) True f2.0(A,B,C,D,E,F,G,H,I) -> f1.4(A,B,C,D,E,F,G,K,L) True f1.1(A,B,C,D,E,F,G,H,I) -> f300.5(A,B,K,L,E,F,J,H,I) [A >= B] f1.2(A,B,C,D,E,F,G,H,I) -> f1.2(A,B,K,L,0,F,G,H,I) [B >= 1 + A] f1.2(A,B,C,D,E,F,G,H,I) -> f1.3(A,B,K,L,0,F,G,H,I) [B >= 1 + A] f1.2(A,B,C,D,E,F,G,H,I) -> f1.4(A,B,K,L,0,F,G,H,I) [B >= 1 + A] f1.3(A,B,C,D,E,F,G,H,I) -> f1.2(A,B,K,L,J,M,G,H,I) [0 >= 1 + J && B >= 1 + A] f1.3(A,B,C,D,E,F,G,H,I) -> f1.3(A,B,K,L,J,M,G,H,I) [0 >= 1 + J && B >= 1 + A] f1.3(A,B,C,D,E,F,G,H,I) -> f1.4(A,B,K,L,J,M,G,H,I) [0 >= 1 + J && B >= 1 + A] f1.4(A,B,C,D,E,F,G,H,I) -> f1.2(A,B,K,L,J,M,G,H,I) [J >= 1 && B >= 1 + A] f1.4(A,B,C,D,E,F,G,H,I) -> f1.3(A,B,K,L,J,M,G,H,I) [J >= 1 && B >= 1 + A] f1.4(A,B,C,D,E,F,G,H,I) -> f1.4(A,B,K,L,J,M,G,H,I) [J >= 1 && B >= 1 + A] Signature: {(f1.1,9);(f1.2,9);(f1.3,9);(f1.4,9);(f2.0,9);(f300.5,9)} Rule Graph: [0->{4},1->{5,6,7},2->{8,9,10},3->{11,12,13},4->{},5->{5,6,7},6->{8,9,10},7->{11,12,13},8->{5,6,7},9->{8,9 ,10},10->{11,12,13},11->{5,6,7},12->{8,9,10},13->{11,12,13}] + Applied Processor: AddSinks + Details: () * Step 5: Failure MAYBE + Considered Problem: Rules: f2.0(A,B,C,D,E,F,G,H,I) -> f1.1(A,B,C,D,E,F,G,K,L) True f2.0(A,B,C,D,E,F,G,H,I) -> f1.2(A,B,C,D,E,F,G,K,L) True f2.0(A,B,C,D,E,F,G,H,I) -> f1.3(A,B,C,D,E,F,G,K,L) True f2.0(A,B,C,D,E,F,G,H,I) -> f1.4(A,B,C,D,E,F,G,K,L) True f1.1(A,B,C,D,E,F,G,H,I) -> f300.5(A,B,K,L,E,F,J,H,I) [A >= B] f1.2(A,B,C,D,E,F,G,H,I) -> f1.2(A,B,K,L,0,F,G,H,I) [B >= 1 + A] f1.2(A,B,C,D,E,F,G,H,I) -> f1.3(A,B,K,L,0,F,G,H,I) [B >= 1 + A] f1.2(A,B,C,D,E,F,G,H,I) -> f1.4(A,B,K,L,0,F,G,H,I) [B >= 1 + A] f1.3(A,B,C,D,E,F,G,H,I) -> f1.2(A,B,K,L,J,M,G,H,I) [0 >= 1 + J && B >= 1 + A] f1.3(A,B,C,D,E,F,G,H,I) -> f1.3(A,B,K,L,J,M,G,H,I) [0 >= 1 + J && B >= 1 + A] f1.3(A,B,C,D,E,F,G,H,I) -> f1.4(A,B,K,L,J,M,G,H,I) [0 >= 1 + J && B >= 1 + A] f1.4(A,B,C,D,E,F,G,H,I) -> f1.2(A,B,K,L,J,M,G,H,I) [J >= 1 && B >= 1 + A] f1.4(A,B,C,D,E,F,G,H,I) -> f1.3(A,B,K,L,J,M,G,H,I) [J >= 1 && B >= 1 + A] f1.4(A,B,C,D,E,F,G,H,I) -> f1.4(A,B,K,L,J,M,G,H,I) [J >= 1 && B >= 1 + A] f1.2(A,B,C,D,E,F,G,H,I) -> exitus616(A,B,C,D,E,F,G,H,I) True f1.2(A,B,C,D,E,F,G,H,I) -> exitus616(A,B,C,D,E,F,G,H,I) True f1.3(A,B,C,D,E,F,G,H,I) -> exitus616(A,B,C,D,E,F,G,H,I) True f1.2(A,B,C,D,E,F,G,H,I) -> exitus616(A,B,C,D,E,F,G,H,I) True f1.4(A,B,C,D,E,F,G,H,I) -> exitus616(A,B,C,D,E,F,G,H,I) True f1.4(A,B,C,D,E,F,G,H,I) -> exitus616(A,B,C,D,E,F,G,H,I) True f1.3(A,B,C,D,E,F,G,H,I) -> exitus616(A,B,C,D,E,F,G,H,I) True f1.3(A,B,C,D,E,F,G,H,I) -> exitus616(A,B,C,D,E,F,G,H,I) True f1.4(A,B,C,D,E,F,G,H,I) -> exitus616(A,B,C,D,E,F,G,H,I) True f1.2(A,B,C,D,E,F,G,H,I) -> exitus616(A,B,C,D,E,F,G,H,I) True f1.2(A,B,C,D,E,F,G,H,I) -> exitus616(A,B,C,D,E,F,G,H,I) True f1.3(A,B,C,D,E,F,G,H,I) -> exitus616(A,B,C,D,E,F,G,H,I) True f1.2(A,B,C,D,E,F,G,H,I) -> exitus616(A,B,C,D,E,F,G,H,I) True f1.4(A,B,C,D,E,F,G,H,I) -> exitus616(A,B,C,D,E,F,G,H,I) True f1.4(A,B,C,D,E,F,G,H,I) -> exitus616(A,B,C,D,E,F,G,H,I) True f1.3(A,B,C,D,E,F,G,H,I) -> exitus616(A,B,C,D,E,F,G,H,I) True f1.3(A,B,C,D,E,F,G,H,I) -> exitus616(A,B,C,D,E,F,G,H,I) True f1.4(A,B,C,D,E,F,G,H,I) -> exitus616(A,B,C,D,E,F,G,H,I) True f1.2(A,B,C,D,E,F,G,H,I) -> exitus616(A,B,C,D,E,F,G,H,I) True f1.2(A,B,C,D,E,F,G,H,I) -> exitus616(A,B,C,D,E,F,G,H,I) True f1.3(A,B,C,D,E,F,G,H,I) -> exitus616(A,B,C,D,E,F,G,H,I) True f1.2(A,B,C,D,E,F,G,H,I) -> exitus616(A,B,C,D,E,F,G,H,I) True f1.4(A,B,C,D,E,F,G,H,I) -> exitus616(A,B,C,D,E,F,G,H,I) True f1.4(A,B,C,D,E,F,G,H,I) -> exitus616(A,B,C,D,E,F,G,H,I) True f1.3(A,B,C,D,E,F,G,H,I) -> exitus616(A,B,C,D,E,F,G,H,I) True f1.3(A,B,C,D,E,F,G,H,I) -> exitus616(A,B,C,D,E,F,G,H,I) True f1.4(A,B,C,D,E,F,G,H,I) -> exitus616(A,B,C,D,E,F,G,H,I) True f300.5(A,B,C,D,E,F,G,H,I) -> exitus616(A,B,C,D,E,F,G,H,I) True Signature: {(exitus616,9);(f1.1,9);(f1.2,9);(f1.3,9);(f1.4,9);(f2.0,9);(f300.5,9)} Rule Graph: [0->{4},1->{5,6,7},2->{8,9,10},3->{11,12,13},4->{41},5->{5,6,7,14,23,32},6->{8,9,10,16,25,34},7->{11,12,13 ,18,27,36},8->{5,6,7,15,24,33},9->{8,9,10,20,29,38},10->{11,12,13,19,28,37},11->{5,6,7,17,26,35},12->{8,9,10 ,21,30,39},13->{11,12,13,22,31,40}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41] | `- p:[5,8,6,11,7,10,9,12,13] c: [] MAYBE