MAYBE * Step 1: UnsatPaths MAYBE + Considered Problem: Rules: 0. f1(A,B) -> f0(A,B) True (1,1) 1. f0(A,B) -> f0(A + B,B) [A >= 1 && B >= 1] (?,1) 2. f0(A,B) -> f0(A + B,B) [A >= 1 && 0 >= 1 + B] (?,1) Signature: {(f0,2);(f1,2)} Flow Graph: [0->{1,2},1->{1,2},2->{1,2}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(1,2),(2,1)] * Step 2: AddSinks MAYBE + Considered Problem: Rules: 0. f1(A,B) -> f0(A,B) True (1,1) 1. f0(A,B) -> f0(A + B,B) [A >= 1 && B >= 1] (?,1) 2. f0(A,B) -> f0(A + B,B) [A >= 1 && 0 >= 1 + B] (?,1) Signature: {(f0,2);(f1,2)} Flow Graph: [0->{1,2},1->{1},2->{2}] + Applied Processor: AddSinks + Details: () * Step 3: UnsatPaths MAYBE + Considered Problem: Rules: 0. f1(A,B) -> f0(A,B) True (1,1) 1. f0(A,B) -> f0(A + B,B) [A >= 1 && B >= 1] (?,1) 2. f0(A,B) -> f0(A + B,B) [A >= 1 && 0 >= 1 + B] (?,1) 3. f0(A,B) -> exitus616(A,B) True (?,1) Signature: {(exitus616,2);(f0,2);(f1,2)} 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: [(1,2),(2,1)] * Step 4: Failure MAYBE + Considered Problem: Rules: 0. f1(A,B) -> f0(A,B) True (1,1) 1. f0(A,B) -> f0(A + B,B) [A >= 1 && B >= 1] (?,1) 2. f0(A,B) -> f0(A + B,B) [A >= 1 && 0 >= 1 + B] (?,1) 3. f0(A,B) -> exitus616(A,B) True (?,1) Signature: {(exitus616,2);(f0,2);(f1,2)} Flow Graph: [0->{1,2,3},1->{1,3},2->{2,3},3->{}] + Applied Processor: LooptreeTransformer + Details: We construct a looptree: P: [0,1,2,3] | +- p:[2] c: [2] | `- p:[1] c: [] MAYBE