MAYBE * Step 1: ArgumentFilter MAYBE + Considered Problem: Rules: 0. f2(A,B,C) -> f300(A + B,B,D) [0 >= 1 + A + B] (?,1) 1. f3(A,B,C) -> f2(A,B,C) True (1,1) 2. f2(A,B,C) -> f2(A + B,B,C) [A + B >= 0] (?,1) Signature: {(f2,3);(f3,3);(f300,3)} Flow Graph: [0->{},1->{0,2},2->{0,2}] + Applied Processor: ArgumentFilter [2] + Details: We remove following argument positions: [2]. * Step 2: FromIts MAYBE + Considered Problem: Rules: 0. f2(A,B) -> f300(A + B,B) [0 >= 1 + A + B] (?,1) 1. f3(A,B) -> f2(A,B) True (1,1) 2. f2(A,B) -> f2(A + B,B) [A + B >= 0] (?,1) Signature: {(f2,3);(f3,3);(f300,3)} Flow Graph: [0->{},1->{0,2},2->{0,2}] + Applied Processor: FromIts + Details: () * Step 3: AddSinks MAYBE + Considered Problem: Rules: f2(A,B) -> f300(A + B,B) [0 >= 1 + A + B] f3(A,B) -> f2(A,B) True f2(A,B) -> f2(A + B,B) [A + B >= 0] Signature: {(f2,3);(f3,3);(f300,3)} Rule Graph: [0->{},1->{0,2},2->{0,2}] + Applied Processor: AddSinks + Details: () * Step 4: Failure MAYBE + Considered Problem: Rules: f2(A,B) -> f300(A + B,B) [0 >= 1 + A + B] f3(A,B) -> f2(A,B) True f2(A,B) -> f2(A + B,B) [A + B >= 0] f300(A,B) -> exitus616(A,B) True Signature: {(exitus616,2);(f2,3);(f3,3);(f300,3)} Rule Graph: [0->{3},1->{0,2},2->{0,2}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3] | `- p:[2] c: [] MAYBE