MAYBE * Step 1: UnreachableRules MAYBE + Considered Problem: Rules: 0. f10(A,B,C,D,E) -> f16(A,0,F,D,E) [0 >= A && F >= 1] (?,1) 1. f16(A,B,C,D,E) -> f16(A,B,C,D,E) [C >= 1] (?,1) 2. f25(A,B,C,D,E) -> f25(A,B,C,D,E) True (?,1) 3. f27(A,B,C,D,E) -> f30(A,B,C,D,E) True (?,1) 4. f16(A,B,C,D,E) -> f10(F,B,C,0,F) [0 >= C] (?,1) 5. f10(A,B,C,D,E) -> f25(A,B,C,D,E) [A >= 1] (?,1) 6. f0(A,B,C,D,E) -> f10(F,0,C,0,F) True (1,1) Signature: {(f0,5);(f10,5);(f16,5);(f25,5);(f27,5);(f30,5)} 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. f10(A,B,C,D,E) -> f16(A,0,F,D,E) [0 >= A && F >= 1] (?,1) 1. f16(A,B,C,D,E) -> f16(A,B,C,D,E) [C >= 1] (?,1) 2. f25(A,B,C,D,E) -> f25(A,B,C,D,E) True (?,1) 4. f16(A,B,C,D,E) -> f10(F,B,C,0,F) [0 >= C] (?,1) 5. f10(A,B,C,D,E) -> f25(A,B,C,D,E) [A >= 1] (?,1) 6. f0(A,B,C,D,E) -> f10(F,0,C,0,F) True (1,1) Signature: {(f0,5);(f10,5);(f16,5);(f25,5);(f27,5);(f30,5)} 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. f10(A,B,C,D,E) -> f16(A,0,F,D,E) [0 >= A && F >= 1] (?,1) 1. f16(A,B,C,D,E) -> f16(A,B,C,D,E) [C >= 1] (?,1) 2. f25(A,B,C,D,E) -> f25(A,B,C,D,E) True (?,1) 4. f16(A,B,C,D,E) -> f10(F,B,C,0,F) [0 >= C] (?,1) 5. f10(A,B,C,D,E) -> f25(A,B,C,D,E) [A >= 1] (?,1) 6. f0(A,B,C,D,E) -> f10(F,0,C,0,F) True (1,1) Signature: {(f0,5);(f10,5);(f16,5);(f25,5);(f27,5);(f30,5)} 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: f10(A,B,C,D,E) -> f16(A,0,F,D,E) [0 >= A && F >= 1] f16(A,B,C,D,E) -> f16(A,B,C,D,E) [C >= 1] f25(A,B,C,D,E) -> f25(A,B,C,D,E) True f16(A,B,C,D,E) -> f10(F,B,C,0,F) [0 >= C] f10(A,B,C,D,E) -> f25(A,B,C,D,E) [A >= 1] f0(A,B,C,D,E) -> f10(F,0,C,0,F) True Signature: {(f0,5);(f10,5);(f16,5);(f25,5);(f27,5);(f30,5)} 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: f10.0(A,B,C,D,E) -> f16.1(A,0,F,D,E) [0 >= A && F >= 1] f16.1(A,B,C,D,E) -> f16.1(A,B,C,D,E) [C >= 1] f25.2(A,B,C,D,E) -> f25.2(A,B,C,D,E) True f16.4(A,B,C,D,E) -> f10.0(F,B,C,0,F) [0 >= C] f16.4(A,B,C,D,E) -> f10.5(F,B,C,0,F) [0 >= C] f10.5(A,B,C,D,E) -> f25.2(A,B,C,D,E) [A >= 1] f0.6(A,B,C,D,E) -> f10.0(F,0,C,0,F) True f0.6(A,B,C,D,E) -> f10.5(F,0,C,0,F) True Signature: {(f0.6,5);(f10.0,5);(f10.5,5);(f16.1,5);(f16.4,5);(f25.2,5)} 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: f10.0(A,B,C,D,E) -> f16.1(A,0,F,D,E) [0 >= A && F >= 1] f16.1(A,B,C,D,E) -> f16.1(A,B,C,D,E) [C >= 1] f25.2(A,B,C,D,E) -> f25.2(A,B,C,D,E) True f16.4(A,B,C,D,E) -> f10.0(F,B,C,0,F) [0 >= C] f16.4(A,B,C,D,E) -> f10.5(F,B,C,0,F) [0 >= C] f10.5(A,B,C,D,E) -> f25.2(A,B,C,D,E) [A >= 1] f0.6(A,B,C,D,E) -> f10.0(F,0,C,0,F) True f0.6(A,B,C,D,E) -> f10.5(F,0,C,0,F) True f25.2(A,B,C,D,E) -> exitus616(A,B,C,D,E) True f16.1(A,B,C,D,E) -> exitus616(A,B,C,D,E) True f25.2(A,B,C,D,E) -> exitus616(A,B,C,D,E) True f16.1(A,B,C,D,E) -> exitus616(A,B,C,D,E) True Signature: {(exitus616,5);(f0.6,5);(f10.0,5);(f10.5,5);(f16.1,5);(f16.4,5);(f25.2,5)} 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