MAYBE * Step 1: ArgumentFilter MAYBE + Considered Problem: Rules: 0. f1(A,B,C) -> f1(A + C,B,-1 + C) [A >= 1] (?,1) 1. f1(A,B,C) -> f1(A + B,-1 + B,C) [A >= 1] (?,1) 2. f0(A,B,C) -> f1(A,B,C) True (1,1) Signature: {(f0,3);(f1,3)} Flow Graph: [0->{0,1},1->{0,1},2->{0,1}] + Applied Processor: ArgumentFilter [1,2] + Details: We remove following argument positions: [1,2]. * Step 2: FromIts MAYBE + Considered Problem: Rules: 0. f1(A) -> f1(A + C) [A >= 1] (?,1) 1. f1(A) -> f1(A + B) [A >= 1] (?,1) 2. f0(A) -> f1(A) True (1,1) Signature: {(f0,3);(f1,3)} Flow Graph: [0->{0,1},1->{0,1},2->{0,1}] + Applied Processor: FromIts + Details: () * Step 3: AddSinks MAYBE + Considered Problem: Rules: f1(A) -> f1(A + C) [A >= 1] f1(A) -> f1(A + B) [A >= 1] f0(A) -> f1(A) True Signature: {(f0,3);(f1,3)} Rule Graph: [0->{0,1},1->{0,1},2->{0,1}] + Applied Processor: AddSinks + Details: () * Step 4: Failure MAYBE + Considered Problem: Rules: f1(A) -> f1(A + C) [A >= 1] f1(A) -> f1(A + B) [A >= 1] f0(A) -> f1(A) True f1(A) -> exitus616(A) True f1(A) -> exitus616(A) True Signature: {(exitus616,1);(f0,3);(f1,3)} 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