MAYBE * Step 1: UnsatPaths MAYBE + Considered Problem: Rules: 0. f300(A) -> f3(A) True (1,1) 1. f3(A) -> f3(-1 + A) [A >= 2] (?,1) 2. f3(A) -> f3(-1 + A) [1 >= A] (?,1) Signature: {(f3,1);(f300,1)} Flow Graph: [0->{1,2},1->{1,2},2->{1,2}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(2,1)] * Step 2: FromIts MAYBE + Considered Problem: Rules: 0. f300(A) -> f3(A) True (1,1) 1. f3(A) -> f3(-1 + A) [A >= 2] (?,1) 2. f3(A) -> f3(-1 + A) [1 >= A] (?,1) Signature: {(f3,1);(f300,1)} Flow Graph: [0->{1,2},1->{1,2},2->{2}] + Applied Processor: FromIts + Details: () * Step 3: Unfold MAYBE + Considered Problem: Rules: f300(A) -> f3(A) True f3(A) -> f3(-1 + A) [A >= 2] f3(A) -> f3(-1 + A) [1 >= A] Signature: {(f3,1);(f300,1)} Rule Graph: [0->{1,2},1->{1,2},2->{2}] + Applied Processor: Unfold + Details: () * Step 4: AddSinks MAYBE + Considered Problem: Rules: f300.0(A) -> f3.1(A) True f300.0(A) -> f3.2(A) True f3.1(A) -> f3.1(-1 + A) [A >= 2] f3.1(A) -> f3.2(-1 + A) [A >= 2] f3.2(A) -> f3.2(-1 + A) [1 >= A] Signature: {(f3.1,1);(f3.2,1);(f300.0,1)} Rule Graph: [0->{2,3},1->{4},2->{2,3},3->{4},4->{4}] + Applied Processor: AddSinks + Details: () * Step 5: Failure MAYBE + Considered Problem: Rules: f300.0(A) -> f3.1(A) True f300.0(A) -> f3.2(A) True f3.1(A) -> f3.1(-1 + A) [A >= 2] f3.1(A) -> f3.2(-1 + A) [A >= 2] f3.2(A) -> f3.2(-1 + A) [1 >= A] f3.2(A) -> exitus616(A) True f3.2(A) -> exitus616(A) True Signature: {(exitus616,1);(f3.1,1);(f3.2,1);(f300.0,1)} Rule Graph: [0->{2,3},1->{4},2->{2,3},3->{4},4->{4,5,6}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4,5,6] | +- p:[2] c: [2] | `- p:[4] c: [] MAYBE