MAYBE * Step 1: UnsatPaths MAYBE + Considered Problem: Rules: 0. f2(A) -> f2(-1 + A) [1 >= A] (?,1) 1. f2(A) -> f2(-1 + A) [A >= 2] (?,1) 2. f3(A) -> f2(A) True (1,1) Signature: {(f2,1);(f3,1)} Flow Graph: [0->{0,1},1->{0,1},2->{0,1}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(0,1)] * Step 2: FromIts MAYBE + Considered Problem: Rules: 0. f2(A) -> f2(-1 + A) [1 >= A] (?,1) 1. f2(A) -> f2(-1 + A) [A >= 2] (?,1) 2. f3(A) -> f2(A) True (1,1) Signature: {(f2,1);(f3,1)} Flow Graph: [0->{0},1->{0,1},2->{0,1}] + Applied Processor: FromIts + Details: () * Step 3: Unfold MAYBE + Considered Problem: Rules: f2(A) -> f2(-1 + A) [1 >= A] f2(A) -> f2(-1 + A) [A >= 2] f3(A) -> f2(A) True Signature: {(f2,1);(f3,1)} Rule Graph: [0->{0},1->{0,1},2->{0,1}] + Applied Processor: Unfold + Details: () * Step 4: AddSinks MAYBE + Considered Problem: Rules: f2.0(A) -> f2.0(-1 + A) [1 >= A] f2.1(A) -> f2.0(-1 + A) [A >= 2] f2.1(A) -> f2.1(-1 + A) [A >= 2] f3.2(A) -> f2.0(A) True f3.2(A) -> f2.1(A) True Signature: {(f2.0,1);(f2.1,1);(f3.2,1)} Rule Graph: [0->{0},1->{0},2->{1,2},3->{0},4->{1,2}] + Applied Processor: AddSinks + Details: () * Step 5: Failure MAYBE + Considered Problem: Rules: f2.0(A) -> f2.0(-1 + A) [1 >= A] f2.1(A) -> f2.0(-1 + A) [A >= 2] f2.1(A) -> f2.1(-1 + A) [A >= 2] f3.2(A) -> f2.0(A) True f3.2(A) -> f2.1(A) True f2.0(A) -> exitus616(A) True f2.0(A) -> exitus616(A) True Signature: {(exitus616,1);(f2.0,1);(f2.1,1);(f3.2,1)} Rule Graph: [0->{0,5,6},1->{0},2->{1,2},3->{0},4->{1,2}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4,5,6] | +- p:[2] c: [2] | `- p:[0] c: [] MAYBE