MAYBE * Step 1: UnreachableRules MAYBE + Considered Problem: Rules: 0. f18(A,B,C,D,E,F,G,H,I,J) -> f24(A,B,C,D,E,F,G,H,I,J) [0 >= A] (?,1) 1. f31(A,B,C,D,E,F,G,H,I,J) -> f31(A,B,C,D,E,F,G,H,I,J) True (?,1) 2. f33(A,B,C,D,E,F,G,H,I,J) -> f36(A,B,C,D,E,F,G,H,I,J) True (?,1) 3. f24(A,B,C,D,E,F,G,H,I,J) -> f31(A,K,C,D,E,F,G,H,I,J) [A >= 1] (?,1) 4. f24(A,B,C,D,E,F,G,H,I,J) -> f31(A,L,C,K,E,F,G,H,I,J) [0 >= A && 999 + C >= K] (?,1) 5. f24(A,B,C,D,E,F,G,H,I,J) -> f31(1,L,C,K,E,F,G,H,I,J) [0 >= A && K >= 1000 + C] (?,1) 6. f18(A,B,C,D,E,F,G,H,I,J) -> f24(0,B,K,D,K,F,G,H,I,J) [A >= 1] (?,1) 7. f0(A,B,C,D,E,F,G,H,I,J) -> f18(1,B,C,D,E,K,K,H,I,J) [0 >= K] (1,1) 8. f0(A,B,C,D,E,F,G,H,I,J) -> f18(1,B,C,D,E,K,0,1,L,L) [K >= 1 && L >= 1] (1,1) 9. f0(A,B,C,D,E,F,G,H,I,J) -> f31(1,B,C,D,E,K,0,1,L,L) [K >= 1 && 0 >= L] (1,1) Signature: {(f0,10);(f18,10);(f24,10);(f31,10);(f33,10);(f36,10)} Flow Graph: [0->{3,4,5},1->{1},2->{},3->{1},4->{1},5->{1},6->{3,4,5},7->{0,6},8->{0,6},9->{1}] + Applied Processor: UnreachableRules + Details: Following transitions are not reachable from the starting states and are revomed: [2] * Step 2: UnsatPaths MAYBE + Considered Problem: Rules: 0. f18(A,B,C,D,E,F,G,H,I,J) -> f24(A,B,C,D,E,F,G,H,I,J) [0 >= A] (?,1) 1. f31(A,B,C,D,E,F,G,H,I,J) -> f31(A,B,C,D,E,F,G,H,I,J) True (?,1) 3. f24(A,B,C,D,E,F,G,H,I,J) -> f31(A,K,C,D,E,F,G,H,I,J) [A >= 1] (?,1) 4. f24(A,B,C,D,E,F,G,H,I,J) -> f31(A,L,C,K,E,F,G,H,I,J) [0 >= A && 999 + C >= K] (?,1) 5. f24(A,B,C,D,E,F,G,H,I,J) -> f31(1,L,C,K,E,F,G,H,I,J) [0 >= A && K >= 1000 + C] (?,1) 6. f18(A,B,C,D,E,F,G,H,I,J) -> f24(0,B,K,D,K,F,G,H,I,J) [A >= 1] (?,1) 7. f0(A,B,C,D,E,F,G,H,I,J) -> f18(1,B,C,D,E,K,K,H,I,J) [0 >= K] (1,1) 8. f0(A,B,C,D,E,F,G,H,I,J) -> f18(1,B,C,D,E,K,0,1,L,L) [K >= 1 && L >= 1] (1,1) 9. f0(A,B,C,D,E,F,G,H,I,J) -> f31(1,B,C,D,E,K,0,1,L,L) [K >= 1 && 0 >= L] (1,1) Signature: {(f0,10);(f18,10);(f24,10);(f31,10);(f33,10);(f36,10)} Flow Graph: [0->{3,4,5},1->{1},3->{1},4->{1},5->{1},6->{3,4,5},7->{0,6},8->{0,6},9->{1}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(0,3),(6,3),(7,0),(8,0)] * Step 3: FromIts MAYBE + Considered Problem: Rules: 0. f18(A,B,C,D,E,F,G,H,I,J) -> f24(A,B,C,D,E,F,G,H,I,J) [0 >= A] (?,1) 1. f31(A,B,C,D,E,F,G,H,I,J) -> f31(A,B,C,D,E,F,G,H,I,J) True (?,1) 3. f24(A,B,C,D,E,F,G,H,I,J) -> f31(A,K,C,D,E,F,G,H,I,J) [A >= 1] (?,1) 4. f24(A,B,C,D,E,F,G,H,I,J) -> f31(A,L,C,K,E,F,G,H,I,J) [0 >= A && 999 + C >= K] (?,1) 5. f24(A,B,C,D,E,F,G,H,I,J) -> f31(1,L,C,K,E,F,G,H,I,J) [0 >= A && K >= 1000 + C] (?,1) 6. f18(A,B,C,D,E,F,G,H,I,J) -> f24(0,B,K,D,K,F,G,H,I,J) [A >= 1] (?,1) 7. f0(A,B,C,D,E,F,G,H,I,J) -> f18(1,B,C,D,E,K,K,H,I,J) [0 >= K] (1,1) 8. f0(A,B,C,D,E,F,G,H,I,J) -> f18(1,B,C,D,E,K,0,1,L,L) [K >= 1 && L >= 1] (1,1) 9. f0(A,B,C,D,E,F,G,H,I,J) -> f31(1,B,C,D,E,K,0,1,L,L) [K >= 1 && 0 >= L] (1,1) Signature: {(f0,10);(f18,10);(f24,10);(f31,10);(f33,10);(f36,10)} Flow Graph: [0->{4,5},1->{1},3->{1},4->{1},5->{1},6->{4,5},7->{6},8->{6},9->{1}] + Applied Processor: FromIts + Details: () * Step 4: Unfold MAYBE + Considered Problem: Rules: f18(A,B,C,D,E,F,G,H,I,J) -> f24(A,B,C,D,E,F,G,H,I,J) [0 >= A] f31(A,B,C,D,E,F,G,H,I,J) -> f31(A,B,C,D,E,F,G,H,I,J) True f24(A,B,C,D,E,F,G,H,I,J) -> f31(A,K,C,D,E,F,G,H,I,J) [A >= 1] f24(A,B,C,D,E,F,G,H,I,J) -> f31(A,L,C,K,E,F,G,H,I,J) [0 >= A && 999 + C >= K] f24(A,B,C,D,E,F,G,H,I,J) -> f31(1,L,C,K,E,F,G,H,I,J) [0 >= A && K >= 1000 + C] f18(A,B,C,D,E,F,G,H,I,J) -> f24(0,B,K,D,K,F,G,H,I,J) [A >= 1] f0(A,B,C,D,E,F,G,H,I,J) -> f18(1,B,C,D,E,K,K,H,I,J) [0 >= K] f0(A,B,C,D,E,F,G,H,I,J) -> f18(1,B,C,D,E,K,0,1,L,L) [K >= 1 && L >= 1] f0(A,B,C,D,E,F,G,H,I,J) -> f31(1,B,C,D,E,K,0,1,L,L) [K >= 1 && 0 >= L] Signature: {(f0,10);(f18,10);(f24,10);(f31,10);(f33,10);(f36,10)} Rule Graph: [0->{4,5},1->{1},3->{1},4->{1},5->{1},6->{4,5},7->{6},8->{6},9->{1}] + Applied Processor: Unfold + Details: () * Step 5: AddSinks MAYBE + Considered Problem: Rules: f18.0(A,B,C,D,E,F,G,H,I,J) -> f24.4(A,B,C,D,E,F,G,H,I,J) [0 >= A] f18.0(A,B,C,D,E,F,G,H,I,J) -> f24.5(A,B,C,D,E,F,G,H,I,J) [0 >= A] f31.1(A,B,C,D,E,F,G,H,I,J) -> f31.1(A,B,C,D,E,F,G,H,I,J) True f24.3(A,B,C,D,E,F,G,H,I,J) -> f31.1(A,K,C,D,E,F,G,H,I,J) [A >= 1] f24.4(A,B,C,D,E,F,G,H,I,J) -> f31.1(A,L,C,K,E,F,G,H,I,J) [0 >= A && 999 + C >= K] f24.5(A,B,C,D,E,F,G,H,I,J) -> f31.1(1,L,C,K,E,F,G,H,I,J) [0 >= A && K >= 1000 + C] f18.6(A,B,C,D,E,F,G,H,I,J) -> f24.4(0,B,K,D,K,F,G,H,I,J) [A >= 1] f18.6(A,B,C,D,E,F,G,H,I,J) -> f24.5(0,B,K,D,K,F,G,H,I,J) [A >= 1] f0.7(A,B,C,D,E,F,G,H,I,J) -> f18.6(1,B,C,D,E,K,K,H,I,J) [0 >= K] f0.8(A,B,C,D,E,F,G,H,I,J) -> f18.6(1,B,C,D,E,K,0,1,L,L) [K >= 1 && L >= 1] f0.9(A,B,C,D,E,F,G,H,I,J) -> f31.1(1,B,C,D,E,K,0,1,L,L) [K >= 1 && 0 >= L] Signature: {(f0.7,10);(f0.8,10);(f0.9,10);(f18.0,10);(f18.6,10);(f24.3,10);(f24.4,10);(f24.5,10);(f31.1,10)} Rule Graph: [0->{4},1->{5},2->{2},3->{2},4->{2},5->{2},6->{4},7->{5},8->{6,7},9->{6,7},10->{2}] + Applied Processor: AddSinks + Details: () * Step 6: Failure MAYBE + Considered Problem: Rules: f18.0(A,B,C,D,E,F,G,H,I,J) -> f24.4(A,B,C,D,E,F,G,H,I,J) [0 >= A] f18.0(A,B,C,D,E,F,G,H,I,J) -> f24.5(A,B,C,D,E,F,G,H,I,J) [0 >= A] f31.1(A,B,C,D,E,F,G,H,I,J) -> f31.1(A,B,C,D,E,F,G,H,I,J) True f24.3(A,B,C,D,E,F,G,H,I,J) -> f31.1(A,K,C,D,E,F,G,H,I,J) [A >= 1] f24.4(A,B,C,D,E,F,G,H,I,J) -> f31.1(A,L,C,K,E,F,G,H,I,J) [0 >= A && 999 + C >= K] f24.5(A,B,C,D,E,F,G,H,I,J) -> f31.1(1,L,C,K,E,F,G,H,I,J) [0 >= A && K >= 1000 + C] f18.6(A,B,C,D,E,F,G,H,I,J) -> f24.4(0,B,K,D,K,F,G,H,I,J) [A >= 1] f18.6(A,B,C,D,E,F,G,H,I,J) -> f24.5(0,B,K,D,K,F,G,H,I,J) [A >= 1] f0.7(A,B,C,D,E,F,G,H,I,J) -> f18.6(1,B,C,D,E,K,K,H,I,J) [0 >= K] f0.8(A,B,C,D,E,F,G,H,I,J) -> f18.6(1,B,C,D,E,K,0,1,L,L) [K >= 1 && L >= 1] f0.9(A,B,C,D,E,F,G,H,I,J) -> f31.1(1,B,C,D,E,K,0,1,L,L) [K >= 1 && 0 >= L] f31.1(A,B,C,D,E,F,G,H,I,J) -> exitus616(A,B,C,D,E,F,G,H,I,J) True f31.1(A,B,C,D,E,F,G,H,I,J) -> exitus616(A,B,C,D,E,F,G,H,I,J) True f31.1(A,B,C,D,E,F,G,H,I,J) -> exitus616(A,B,C,D,E,F,G,H,I,J) True f31.1(A,B,C,D,E,F,G,H,I,J) -> exitus616(A,B,C,D,E,F,G,H,I,J) True f31.1(A,B,C,D,E,F,G,H,I,J) -> exitus616(A,B,C,D,E,F,G,H,I,J) True f31.1(A,B,C,D,E,F,G,H,I,J) -> exitus616(A,B,C,D,E,F,G,H,I,J) True f31.1(A,B,C,D,E,F,G,H,I,J) -> exitus616(A,B,C,D,E,F,G,H,I,J) True f31.1(A,B,C,D,E,F,G,H,I,J) -> exitus616(A,B,C,D,E,F,G,H,I,J) True Signature: {(exitus616,10) ;(f0.7,10) ;(f0.8,10) ;(f0.9,10) ;(f18.0,10) ;(f18.6,10) ;(f24.3,10) ;(f24.4,10) ;(f24.5,10) ;(f31.1,10)} Rule Graph: [0->{4},1->{5},2->{2,11,12,13,14,15,16,17,18},3->{2},4->{2},5->{2},6->{4},7->{5},8->{6,7},9->{6,7} ,10->{2}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18] | `- p:[2] c: [] MAYBE