MAYBE * Step 1: ArgumentFilter MAYBE + Considered Problem: Rules: 0. f0(A,B,C) -> f2(A,B,C) [A >= 0] (1,1) 1. f2(A,B,C) -> f2(A + C,B,-2 + C) True (?,1) 2. f2(A,B,C) -> f2(A + B,-2 + B,1 + C) True (?,1) Signature: {(f0,3);(f2,3)} Flow Graph: [0->{1,2},1->{1,2},2->{1,2}] + Applied Processor: ArgumentFilter [1,2] + Details: We remove following argument positions: [1,2]. * Step 2: FromIts MAYBE + Considered Problem: Rules: 0. f0(A) -> f2(A) [A >= 0] (1,1) 1. f2(A) -> f2(A + C) True (?,1) 2. f2(A) -> f2(A + B) True (?,1) Signature: {(f0,3);(f2,3)} Flow Graph: [0->{1,2},1->{1,2},2->{1,2}] + Applied Processor: FromIts + Details: () * Step 3: AddSinks MAYBE + Considered Problem: Rules: f0(A) -> f2(A) [A >= 0] f2(A) -> f2(A + C) True f2(A) -> f2(A + B) True Signature: {(f0,3);(f2,3)} Rule Graph: [0->{1,2},1->{1,2},2->{1,2}] + Applied Processor: AddSinks + Details: () * Step 4: Failure MAYBE + Considered Problem: Rules: f0(A) -> f2(A) [A >= 0] f2(A) -> f2(A + C) True f2(A) -> f2(A + B) True f2(A) -> exitus616(A) True f2(A) -> exitus616(A) True Signature: {(exitus616,1);(f0,3);(f2,3)} Rule Graph: [0->{1,2},1->{1,2,3},2->{1,2,4}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4] | `- p:[1,2] c: [] MAYBE