MAYBE * Step 1: FromIts MAYBE + Considered Problem: Rules: 0. f2(A,B,C) -> f1(A + B,B,D) [0 >= 1 + A + B] (?,1) 1. f2(A,B,C) -> f2(A + B,B,C) [A + B >= 0] (?,1) 2. f300(A,B,C) -> f2(A,B,C) True (1,1) Signature: {(f1,3);(f2,3);(f300,3)} Flow Graph: [0->{},1->{0,1},2->{0,1}] + Applied Processor: FromIts + Details: () * Step 2: AddSinks MAYBE + Considered Problem: Rules: f2(A,B,C) -> f1(A + B,B,D) [0 >= 1 + A + B] f2(A,B,C) -> f2(A + B,B,C) [A + B >= 0] f300(A,B,C) -> f2(A,B,C) True Signature: {(f1,3);(f2,3);(f300,3)} Rule Graph: [0->{},1->{0,1},2->{0,1}] + Applied Processor: AddSinks + Details: () * Step 3: Failure MAYBE + Considered Problem: Rules: f2(A,B,C) -> f1(A + B,B,D) [0 >= 1 + A + B] f2(A,B,C) -> f2(A + B,B,C) [A + B >= 0] f300(A,B,C) -> f2(A,B,C) True f1(A,B,C) -> exitus616(A,B,C) True Signature: {(exitus616,3);(f1,3);(f2,3);(f300,3)} Rule Graph: [0->{3},1->{0,1},2->{0,1}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3] | `- p:[1] c: [] MAYBE