MAYBE * Step 1: ArgumentFilter MAYBE + Considered Problem: Rules: 0. f0(A,B) -> f0(-1 + A,C) [0 >= C] (?,1) 1. f0(A,B) -> f0(1 + A,C) [C >= 1] (?,1) 2. f3(A,B) -> f0(2,B) True (1,1) Signature: {(f0,2);(f3,2)} Flow Graph: [0->{0,1},1->{0,1},2->{0,1}] + Applied Processor: ArgumentFilter [0,1] + Details: We remove following argument positions: [0,1]. * Step 2: FromIts MAYBE + Considered Problem: Rules: 0. f0() -> f0() [0 >= C] (?,1) 1. f0() -> f0() [C >= 1] (?,1) 2. f3() -> f0() True (1,1) Signature: {(f0,2);(f3,2)} Flow Graph: [0->{0,1},1->{0,1},2->{0,1}] + Applied Processor: FromIts + Details: () * Step 3: AddSinks MAYBE + Considered Problem: Rules: f0() -> f0() [0 >= C] f0() -> f0() [C >= 1] f3() -> f0() True Signature: {(f0,2);(f3,2)} Rule Graph: [0->{0,1},1->{0,1},2->{0,1}] + Applied Processor: AddSinks + Details: () * Step 4: Failure MAYBE + Considered Problem: Rules: f0() -> f0() [0 >= C] f0() -> f0() [C >= 1] f3() -> f0() True f0() -> exitus616() True f0() -> exitus616() True Signature: {(exitus616,0);(f0,2);(f3,2)} Rule Graph: [0->{0,1,3},1->{0,1,4},2->{0,1}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4] | `- p:[0,1] c: [] MAYBE