MAYBE * Step 1: UnsatPaths MAYBE + Considered Problem: Rules: 0. f3(A,B) -> f1(A,B) True (1,1) 1. f1(A,B) -> f1(1 + A,B) [A >= 0] (?,1) 2. f1(A,B) -> f300(A,C) [0 >= 1 + A] (?,1) Signature: {(f1,2);(f3,2);(f300,2)} Flow Graph: [0->{1,2},1->{1,2},2->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(1,2)] * Step 2: FromIts MAYBE + Considered Problem: Rules: 0. f3(A,B) -> f1(A,B) True (1,1) 1. f1(A,B) -> f1(1 + A,B) [A >= 0] (?,1) 2. f1(A,B) -> f300(A,C) [0 >= 1 + A] (?,1) Signature: {(f1,2);(f3,2);(f300,2)} Flow Graph: [0->{1,2},1->{1},2->{}] + Applied Processor: FromIts + Details: () * Step 3: Unfold MAYBE + Considered Problem: Rules: f3(A,B) -> f1(A,B) True f1(A,B) -> f1(1 + A,B) [A >= 0] f1(A,B) -> f300(A,C) [0 >= 1 + A] Signature: {(f1,2);(f3,2);(f300,2)} Rule Graph: [0->{1,2},1->{1},2->{}] + Applied Processor: Unfold + Details: () * Step 4: AddSinks MAYBE + Considered Problem: Rules: f3.0(A,B) -> f1.1(A,B) True f3.0(A,B) -> f1.2(A,B) True f1.1(A,B) -> f1.1(1 + A,B) [A >= 0] f1.2(A,B) -> f300.3(A,C) [0 >= 1 + A] Signature: {(f1.1,2);(f1.2,2);(f3.0,2);(f300.3,2)} Rule Graph: [0->{2},1->{3},2->{2},3->{}] + Applied Processor: AddSinks + Details: () * Step 5: Failure MAYBE + Considered Problem: Rules: f3.0(A,B) -> f1.1(A,B) True f3.0(A,B) -> f1.2(A,B) True f1.1(A,B) -> f1.1(1 + A,B) [A >= 0] f1.2(A,B) -> f300.3(A,C) [0 >= 1 + A] f300.3(A,B) -> exitus616(A,B) True f1.1(A,B) -> exitus616(A,B) True Signature: {(exitus616,2);(f1.1,2);(f1.2,2);(f3.0,2);(f300.3,2)} Rule Graph: [0->{2},1->{3},2->{2,5},3->{4}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4,5] | `- p:[2] c: [] MAYBE