MAYBE * Step 1: FromIts MAYBE + Considered Problem: Rules: 0. f0(A,B,C) -> f5(0,0,C) True (1,1) 1. f5(A,B,C) -> f5(1 + A,2 + B,D + E) True (?,1) 2. f5(A,B,C) -> f16(A,B,C) True (?,1) Signature: {(f0,3);(f16,3);(f5,3)} Flow Graph: [0->{1,2},1->{1,2},2->{}] + Applied Processor: FromIts + Details: () * Step 2: AddSinks MAYBE + Considered Problem: Rules: f0(A,B,C) -> f5(0,0,C) True f5(A,B,C) -> f5(1 + A,2 + B,D + E) True f5(A,B,C) -> f16(A,B,C) True Signature: {(f0,3);(f16,3);(f5,3)} Rule Graph: [0->{1,2},1->{1,2},2->{}] + Applied Processor: AddSinks + Details: () * Step 3: Failure MAYBE + Considered Problem: Rules: f0(A,B,C) -> f5(0,0,C) True f5(A,B,C) -> f5(1 + A,2 + B,D + E) True f5(A,B,C) -> f16(A,B,C) True f16(A,B,C) -> exitus616(A,B,C) True Signature: {(exitus616,3);(f0,3);(f16,3);(f5,3)} Rule Graph: [0->{1,2},1->{1,2},2->{3}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3] | `- p:[1] c: [] MAYBE