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