MAYBE * Step 1: FromIts MAYBE + Considered Problem: Rules: 0. f0(A,B,C) -> f2(A,D,C) [0 >= A] (?,1) 1. f0(A,B,C) -> f0(A + C,B,-1 + C) [A >= 1] (?,1) 2. f1(A,B,C) -> f0(A,B,C) True (1,1) Signature: {(f0,3);(f1,3);(f2,3)} Flow Graph: [0->{},1->{0,1},2->{0,1}] + Applied Processor: FromIts + Details: () * Step 2: AddSinks MAYBE + Considered Problem: Rules: f0(A,B,C) -> f2(A,D,C) [0 >= A] f0(A,B,C) -> f0(A + C,B,-1 + C) [A >= 1] f1(A,B,C) -> f0(A,B,C) True Signature: {(f0,3);(f1,3);(f2,3)} Rule Graph: [0->{},1->{0,1},2->{0,1}] + Applied Processor: AddSinks + Details: () * Step 3: Failure MAYBE + Considered Problem: Rules: f0(A,B,C) -> f2(A,D,C) [0 >= A] f0(A,B,C) -> f0(A + C,B,-1 + C) [A >= 1] f1(A,B,C) -> f0(A,B,C) True f2(A,B,C) -> exitus616(A,B,C) True Signature: {(exitus616,3);(f0,3);(f1,3);(f2,3)} 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