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