MAYBE * Step 1: UnsatPaths MAYBE + Considered Problem: Rules: 0. f0(A,B) -> f4(0,99) True (1,1) 1. f4(A,B) -> f4(E,B) [B >= 1 + A && C >= 1 + D] (?,1) 2. f4(A,B) -> f4(A,E) [B >= 1 + A] (?,1) 3. f4(A,B) -> f11(A,B) [A >= B] (?,1) Signature: {(f0,2);(f11,2);(f4,2)} Flow Graph: [0->{1,2,3},1->{1,2,3},2->{1,2,3},3->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(0,3)] * Step 2: FromIts MAYBE + Considered Problem: Rules: 0. f0(A,B) -> f4(0,99) True (1,1) 1. f4(A,B) -> f4(E,B) [B >= 1 + A && C >= 1 + D] (?,1) 2. f4(A,B) -> f4(A,E) [B >= 1 + A] (?,1) 3. f4(A,B) -> f11(A,B) [A >= B] (?,1) Signature: {(f0,2);(f11,2);(f4,2)} Flow Graph: [0->{1,2},1->{1,2,3},2->{1,2,3},3->{}] + Applied Processor: FromIts + Details: () * Step 3: Unfold MAYBE + Considered Problem: Rules: f0(A,B) -> f4(0,99) True f4(A,B) -> f4(E,B) [B >= 1 + A && C >= 1 + D] f4(A,B) -> f4(A,E) [B >= 1 + A] f4(A,B) -> f11(A,B) [A >= B] Signature: {(f0,2);(f11,2);(f4,2)} Rule Graph: [0->{1,2},1->{1,2,3},2->{1,2,3},3->{}] + Applied Processor: Unfold + Details: () * Step 4: AddSinks MAYBE + Considered Problem: Rules: f0.0(A,B) -> f4.1(0,99) True f0.0(A,B) -> f4.2(0,99) True f4.1(A,B) -> f4.1(E,B) [B >= 1 + A && C >= 1 + D] f4.1(A,B) -> f4.2(E,B) [B >= 1 + A && C >= 1 + D] f4.1(A,B) -> f4.3(E,B) [B >= 1 + A && C >= 1 + D] f4.2(A,B) -> f4.1(A,E) [B >= 1 + A] f4.2(A,B) -> f4.2(A,E) [B >= 1 + A] f4.2(A,B) -> f4.3(A,E) [B >= 1 + A] f4.3(A,B) -> f11.4(A,B) [A >= B] Signature: {(f0.0,2);(f11.4,2);(f4.1,2);(f4.2,2);(f4.3,2)} Rule Graph: [0->{2,3,4},1->{5,6,7},2->{2,3,4},3->{5,6,7},4->{8},5->{2,3,4},6->{5,6,7},7->{8},8->{}] + Applied Processor: AddSinks + Details: () * Step 5: Failure MAYBE + Considered Problem: Rules: f0.0(A,B) -> f4.1(0,99) True f0.0(A,B) -> f4.2(0,99) True f4.1(A,B) -> f4.1(E,B) [B >= 1 + A && C >= 1 + D] f4.1(A,B) -> f4.2(E,B) [B >= 1 + A && C >= 1 + D] f4.1(A,B) -> f4.3(E,B) [B >= 1 + A && C >= 1 + D] f4.2(A,B) -> f4.1(A,E) [B >= 1 + A] f4.2(A,B) -> f4.2(A,E) [B >= 1 + A] f4.2(A,B) -> f4.3(A,E) [B >= 1 + A] f4.3(A,B) -> f11.4(A,B) [A >= B] f11.4(A,B) -> exitus616(A,B) True f11.4(A,B) -> exitus616(A,B) True f11.4(A,B) -> exitus616(A,B) True f11.4(A,B) -> exitus616(A,B) True Signature: {(exitus616,2);(f0.0,2);(f11.4,2);(f4.1,2);(f4.2,2);(f4.3,2)} Rule Graph: [0->{2,3,4},1->{5,6,7},2->{2,3,4},3->{5,6,7},4->{8},5->{2,3,4},6->{5,6,7},7->{8},8->{9,10,11,12}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12] | `- p:[2,5,3,6] c: [] MAYBE