MAYBE * Step 1: FromIts MAYBE + Considered Problem: Rules: 0. f6(A,B,C,D) -> f16(A,B,C,D) [1 + A >= B] (?,1) 1. f6(A,B,C,D) -> f6(E,B,C,E) [B >= 2 + A && C >= E^2] (?,1) 2. f6(A,B,C,D) -> f6(A,E,C,E) [B >= 2 + A && E^2 >= 1 + C] (?,1) 3. f0(A,B,C,D) -> f6(1,C,C,D) True (1,1) Signature: {(f0,4);(f16,4);(f6,4)} Flow Graph: [0->{},1->{0,1,2},2->{0,1,2},3->{0,1,2}] + Applied Processor: FromIts + Details: () * Step 2: AddSinks MAYBE + Considered Problem: Rules: f6(A,B,C,D) -> f16(A,B,C,D) [1 + A >= B] f6(A,B,C,D) -> f6(E,B,C,E) [B >= 2 + A && C >= E^2] f6(A,B,C,D) -> f6(A,E,C,E) [B >= 2 + A && E^2 >= 1 + C] f0(A,B,C,D) -> f6(1,C,C,D) True Signature: {(f0,4);(f16,4);(f6,4)} Rule Graph: [0->{},1->{0,1,2},2->{0,1,2},3->{0,1,2}] + Applied Processor: AddSinks + Details: () * Step 3: Failure MAYBE + Considered Problem: Rules: f6(A,B,C,D) -> f16(A,B,C,D) [1 + A >= B] f6(A,B,C,D) -> f6(E,B,C,E) [B >= 2 + A && C >= E^2] f6(A,B,C,D) -> f6(A,E,C,E) [B >= 2 + A && E^2 >= 1 + C] f0(A,B,C,D) -> f6(1,C,C,D) True f16(A,B,C,D) -> exitus616(A,B,C,D) True Signature: {(exitus616,4);(f0,4);(f16,4);(f6,4)} Rule Graph: [0->{4},1->{0,1,2},2->{0,1,2},3->{0,1,2}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4] | `- p:[1,2] c: [] MAYBE