MAYBE * Step 1: FromIts MAYBE + Considered Problem: Rules: 0. f4(A,B,C,D,E,F,G) -> f4(A + B,B,C,D,E,F,G) [A >= 0] (?,1) 1. f4(A,B,C,D,E,F,G) -> f6(A,B,0,0,0,0,0) [0 >= 1 + A] (?,1) 2. f5(A,B,C,D,E,F,G) -> f4(A,B,C,D,E,F,G) [0 >= 1 + B] (1,1) 3. f5(A,B,C,D,E,F,G) -> f6(A,B,0,0,0,0,0) [B >= 0] (1,1) Signature: {(f4,7);(f5,7);(f6,7)} Flow Graph: [0->{0,1},1->{},2->{0,1},3->{}] + Applied Processor: FromIts + Details: () * Step 2: AddSinks MAYBE + Considered Problem: Rules: f4(A,B,C,D,E,F,G) -> f4(A + B,B,C,D,E,F,G) [A >= 0] f4(A,B,C,D,E,F,G) -> f6(A,B,0,0,0,0,0) [0 >= 1 + A] f5(A,B,C,D,E,F,G) -> f4(A,B,C,D,E,F,G) [0 >= 1 + B] f5(A,B,C,D,E,F,G) -> f6(A,B,0,0,0,0,0) [B >= 0] Signature: {(f4,7);(f5,7);(f6,7)} Rule Graph: [0->{0,1},1->{},2->{0,1},3->{}] + Applied Processor: AddSinks + Details: () * Step 3: Failure MAYBE + Considered Problem: Rules: f4(A,B,C,D,E,F,G) -> f4(A + B,B,C,D,E,F,G) [A >= 0] f4(A,B,C,D,E,F,G) -> f6(A,B,0,0,0,0,0) [0 >= 1 + A] f5(A,B,C,D,E,F,G) -> f4(A,B,C,D,E,F,G) [0 >= 1 + B] f5(A,B,C,D,E,F,G) -> f6(A,B,0,0,0,0,0) [B >= 0] f6(A,B,C,D,E,F,G) -> exitus616(A,B,C,D,E,F,G) True f6(A,B,C,D,E,F,G) -> exitus616(A,B,C,D,E,F,G) True Signature: {(exitus616,7);(f4,7);(f5,7);(f6,7)} Rule Graph: [0->{0,1},1->{5},2->{0,1},3->{4}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4,5] | `- p:[0] c: [] MAYBE