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