MAYBE * Step 1: ArgumentFilter MAYBE + Considered Problem: Rules: 0. f0(A,B,C) -> f4(D,1 + D,B) True (1,1) 1. f4(A,B,C) -> f4(D,1 + D,B) [1 + A + -1*B >= 0 && -1 + -1*A + B >= 0] (?,1) Signature: {(f0,3);(f4,3)} Flow Graph: [0->{1},1->{1}] + Applied Processor: ArgumentFilter [2] + Details: We remove following argument positions: [2]. * Step 2: FromIts MAYBE + Considered Problem: Rules: 0. f0(A,B) -> f4(D,1 + D) True (1,1) 1. f4(A,B) -> f4(D,1 + D) [1 + A + -1*B >= 0 && -1 + -1*A + B >= 0] (?,1) Signature: {(f0,3);(f4,3)} Flow Graph: [0->{1},1->{1}] + Applied Processor: FromIts + Details: () * Step 3: AddSinks MAYBE + Considered Problem: Rules: f0(A,B) -> f4(D,1 + D) True f4(A,B) -> f4(D,1 + D) [1 + A + -1*B >= 0 && -1 + -1*A + B >= 0] Signature: {(f0,3);(f4,3)} Rule Graph: [0->{1},1->{1}] + Applied Processor: AddSinks + Details: () * Step 4: Failure MAYBE + Considered Problem: Rules: f0(A,B) -> f4(D,1 + D) True f4(A,B) -> f4(D,1 + D) [1 + A + -1*B >= 0 && -1 + -1*A + B >= 0] f4(A,B) -> exitus616(A,B) True Signature: {(exitus616,2);(f0,3);(f4,3)} Rule Graph: [0->{1},1->{1,2}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2] | `- p:[1] c: [] MAYBE