MAYBE * Step 1: UnsatPaths MAYBE + Considered Problem: Rules: 0. f0(A) -> f1(100) True (1,1) 1. f1(A) -> f1(-1 + A) [A >= 302] (?,1) 2. f1(A) -> f1(-1 + A) [300 >= A] (?,1) Signature: {(f0,1);(f1,1)} Flow Graph: [0->{1,2},1->{1,2},2->{1,2}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(0,1),(1,2),(2,1)] * Step 2: FromIts MAYBE + Considered Problem: Rules: 0. f0(A) -> f1(100) True (1,1) 1. f1(A) -> f1(-1 + A) [A >= 302] (?,1) 2. f1(A) -> f1(-1 + A) [300 >= A] (?,1) Signature: {(f0,1);(f1,1)} Flow Graph: [0->{2},1->{1},2->{2}] + Applied Processor: FromIts + Details: () * Step 3: Unfold MAYBE + Considered Problem: Rules: f0(A) -> f1(100) True f1(A) -> f1(-1 + A) [A >= 302] f1(A) -> f1(-1 + A) [300 >= A] Signature: {(f0,1);(f1,1)} Rule Graph: [0->{2},1->{1},2->{2}] + Applied Processor: Unfold + Details: () * Step 4: AddSinks MAYBE + Considered Problem: Rules: f0.0(A) -> f1.2(100) True f1.1(A) -> f1.1(-1 + A) [A >= 302] f1.2(A) -> f1.2(-1 + A) [300 >= A] Signature: {(f0.0,1);(f1.1,1);(f1.2,1)} Rule Graph: [0->{2},1->{1},2->{2}] + Applied Processor: AddSinks + Details: () * Step 5: Failure MAYBE + Considered Problem: Rules: f0.0(A) -> f1.2(100) True f1.1(A) -> f1.1(-1 + A) [A >= 302] f1.2(A) -> f1.2(-1 + A) [300 >= A] f1.1(A) -> exitus616(A) True f1.2(A) -> exitus616(A) True Signature: {(exitus616,1);(f0.0,1);(f1.1,1);(f1.2,1)} Rule Graph: [0->{2},1->{1,3},2->{2,4}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4] | +- p:[1] c: [1] | `- p:[2] c: [] MAYBE