MAYBE * Step 1: UnreachableRules MAYBE + Considered Problem: Rules: 0. f9(A,B,C,D) -> f15(A,0,E,D) [0 >= A && E >= 1] (?,1) 1. f15(A,B,C,D) -> f15(A,B,C,D) [C >= 1] (?,1) 2. f23(A,B,C,D) -> f23(A,B,C,D) True (?,1) 3. f25(A,B,C,D) -> f28(A,B,C,D) True (?,1) 4. f15(A,B,C,D) -> f9(E,B,C,0) [0 >= C] (?,1) 5. f9(A,B,C,D) -> f23(A,B,C,D) [A >= 1] (?,1) 6. f0(A,B,C,D) -> f9(E,0,C,0) True (1,1) Signature: {(f0,4);(f15,4);(f23,4);(f25,4);(f28,4);(f9,4)} Flow Graph: [0->{1,4},1->{1,4},2->{2},3->{},4->{0,5},5->{2},6->{0,5}] + Applied Processor: UnreachableRules + Details: Following transitions are not reachable from the starting states and are revomed: [3] * Step 2: UnsatPaths MAYBE + Considered Problem: Rules: 0. f9(A,B,C,D) -> f15(A,0,E,D) [0 >= A && E >= 1] (?,1) 1. f15(A,B,C,D) -> f15(A,B,C,D) [C >= 1] (?,1) 2. f23(A,B,C,D) -> f23(A,B,C,D) True (?,1) 4. f15(A,B,C,D) -> f9(E,B,C,0) [0 >= C] (?,1) 5. f9(A,B,C,D) -> f23(A,B,C,D) [A >= 1] (?,1) 6. f0(A,B,C,D) -> f9(E,0,C,0) True (1,1) Signature: {(f0,4);(f15,4);(f23,4);(f25,4);(f28,4);(f9,4)} Flow Graph: [0->{1,4},1->{1,4},2->{2},4->{0,5},5->{2},6->{0,5}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(0,4),(1,4)] * Step 3: FromIts MAYBE + Considered Problem: Rules: 0. f9(A,B,C,D) -> f15(A,0,E,D) [0 >= A && E >= 1] (?,1) 1. f15(A,B,C,D) -> f15(A,B,C,D) [C >= 1] (?,1) 2. f23(A,B,C,D) -> f23(A,B,C,D) True (?,1) 4. f15(A,B,C,D) -> f9(E,B,C,0) [0 >= C] (?,1) 5. f9(A,B,C,D) -> f23(A,B,C,D) [A >= 1] (?,1) 6. f0(A,B,C,D) -> f9(E,0,C,0) True (1,1) Signature: {(f0,4);(f15,4);(f23,4);(f25,4);(f28,4);(f9,4)} Flow Graph: [0->{1},1->{1},2->{2},4->{0,5},5->{2},6->{0,5}] + Applied Processor: FromIts + Details: () * Step 4: Unfold MAYBE + Considered Problem: Rules: f9(A,B,C,D) -> f15(A,0,E,D) [0 >= A && E >= 1] f15(A,B,C,D) -> f15(A,B,C,D) [C >= 1] f23(A,B,C,D) -> f23(A,B,C,D) True f15(A,B,C,D) -> f9(E,B,C,0) [0 >= C] f9(A,B,C,D) -> f23(A,B,C,D) [A >= 1] f0(A,B,C,D) -> f9(E,0,C,0) True Signature: {(f0,4);(f15,4);(f23,4);(f25,4);(f28,4);(f9,4)} Rule Graph: [0->{1},1->{1},2->{2},4->{0,5},5->{2},6->{0,5}] + Applied Processor: Unfold + Details: () * Step 5: AddSinks MAYBE + Considered Problem: Rules: f9.0(A,B,C,D) -> f15.1(A,0,E,D) [0 >= A && E >= 1] f15.1(A,B,C,D) -> f15.1(A,B,C,D) [C >= 1] f23.2(A,B,C,D) -> f23.2(A,B,C,D) True f15.4(A,B,C,D) -> f9.0(E,B,C,0) [0 >= C] f15.4(A,B,C,D) -> f9.5(E,B,C,0) [0 >= C] f9.5(A,B,C,D) -> f23.2(A,B,C,D) [A >= 1] f0.6(A,B,C,D) -> f9.0(E,0,C,0) True f0.6(A,B,C,D) -> f9.5(E,0,C,0) True Signature: {(f0.6,4);(f15.1,4);(f15.4,4);(f23.2,4);(f9.0,4);(f9.5,4)} Rule Graph: [0->{1},1->{1},2->{2},3->{0},4->{5},5->{2},6->{0},7->{5}] + Applied Processor: AddSinks + Details: () * Step 6: Failure MAYBE + Considered Problem: Rules: f9.0(A,B,C,D) -> f15.1(A,0,E,D) [0 >= A && E >= 1] f15.1(A,B,C,D) -> f15.1(A,B,C,D) [C >= 1] f23.2(A,B,C,D) -> f23.2(A,B,C,D) True f15.4(A,B,C,D) -> f9.0(E,B,C,0) [0 >= C] f15.4(A,B,C,D) -> f9.5(E,B,C,0) [0 >= C] f9.5(A,B,C,D) -> f23.2(A,B,C,D) [A >= 1] f0.6(A,B,C,D) -> f9.0(E,0,C,0) True f0.6(A,B,C,D) -> f9.5(E,0,C,0) True f23.2(A,B,C,D) -> exitus616(A,B,C,D) True f15.1(A,B,C,D) -> exitus616(A,B,C,D) True f23.2(A,B,C,D) -> exitus616(A,B,C,D) True f15.1(A,B,C,D) -> exitus616(A,B,C,D) True Signature: {(exitus616,4);(f0.6,4);(f15.1,4);(f15.4,4);(f23.2,4);(f9.0,4);(f9.5,4)} Rule Graph: [0->{1},1->{1,9,11},2->{2,8,10},3->{0},4->{5},5->{2},6->{0},7->{5}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11] | +- p:[2] c: [] | `- p:[1] c: [] MAYBE