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