MAYBE * Step 1: FromIts MAYBE + Considered Problem: Rules: 0. f0(A,B) -> f1(3000,B) True (1,1) 1. f1(A,B) -> f1(A,1000 + B) [3000 + -1*A >= 0 && -3000 + A >= 0 && 889 + B >= 0 && 3999 >= A] (?,1) Signature: {(f0,2);(f1,2)} Flow Graph: [0->{1},1->{1}] + Applied Processor: FromIts + Details: () * Step 2: AddSinks MAYBE + Considered Problem: Rules: f0(A,B) -> f1(3000,B) True f1(A,B) -> f1(A,1000 + B) [3000 + -1*A >= 0 && -3000 + A >= 0 && 889 + B >= 0 && 3999 >= A] Signature: {(f0,2);(f1,2)} Rule Graph: [0->{1},1->{1}] + Applied Processor: AddSinks + Details: () * Step 3: Failure MAYBE + Considered Problem: Rules: f0(A,B) -> f1(3000,B) True f1(A,B) -> f1(A,1000 + B) [3000 + -1*A >= 0 && -3000 + A >= 0 && 889 + B >= 0 && 3999 >= A] f1(A,B) -> exitus616(A,B) True Signature: {(exitus616,2);(f0,2);(f1,2)} Rule Graph: [0->{1},1->{1,2}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2] | `- p:[1] c: [] MAYBE