MAYBE * Step 1: UnreachableRules MAYBE + Considered Problem: Rules: 0. f7(A,B) -> f7(C,B) [0 >= 1 + A] (?,1) 1. f7(A,B) -> f7(C,B) [A >= 1] (?,1) 2. f13(A,B) -> f13(A,B) True (?,1) 3. f15(A,B) -> f17(A,B) True (?,1) 4. f7(A,B) -> f13(0,1) [A = 0] (?,1) 5. f0(A,B) -> f7(C,1) True (1,1) Signature: {(f0,2);(f13,2);(f15,2);(f17,2);(f7,2)} Flow Graph: [0->{0,1,4},1->{0,1,4},2->{2},3->{},4->{2},5->{0,1,4}] + Applied Processor: UnreachableRules + Details: Following transitions are not reachable from the starting states and are revomed: [3] * Step 2: FromIts MAYBE + Considered Problem: Rules: 0. f7(A,B) -> f7(C,B) [0 >= 1 + A] (?,1) 1. f7(A,B) -> f7(C,B) [A >= 1] (?,1) 2. f13(A,B) -> f13(A,B) True (?,1) 4. f7(A,B) -> f13(0,1) [A = 0] (?,1) 5. f0(A,B) -> f7(C,1) True (1,1) Signature: {(f0,2);(f13,2);(f15,2);(f17,2);(f7,2)} Flow Graph: [0->{0,1,4},1->{0,1,4},2->{2},4->{2},5->{0,1,4}] + Applied Processor: FromIts + Details: () * Step 3: AddSinks MAYBE + Considered Problem: Rules: f7(A,B) -> f7(C,B) [0 >= 1 + A] f7(A,B) -> f7(C,B) [A >= 1] f13(A,B) -> f13(A,B) True f7(A,B) -> f13(0,1) [A = 0] f0(A,B) -> f7(C,1) True Signature: {(f0,2);(f13,2);(f15,2);(f17,2);(f7,2)} Rule Graph: [0->{0,1,4},1->{0,1,4},2->{2},4->{2},5->{0,1,4}] + Applied Processor: AddSinks + Details: () * Step 4: Failure MAYBE + Considered Problem: Rules: f7(A,B) -> f7(C,B) [0 >= 1 + A] f7(A,B) -> f7(C,B) [A >= 1] f13(A,B) -> f13(A,B) True f7(A,B) -> f13(0,1) [A = 0] f0(A,B) -> f7(C,1) True f13(A,B) -> exitus616(A,B) True Signature: {(exitus616,2);(f0,2);(f13,2);(f15,2);(f17,2);(f7,2)} Rule Graph: [0->{0,1,4},1->{0,1,4},2->{2,6},4->{2},5->{0,1,4}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,4,5,6] | +- p:[0,1] c: [] | `- p:[2] c: [] MAYBE