NO * Step 1: UnsatPaths NO + Considered Problem: Rules: 0. f9(A,B) -> f10(A,B) [5 >= A] (?,1) 1. f25(A,B) -> f2(A,B) True (?,1) 2. f2(A,B) -> f2(A,B) True (?,1) 3. f9(A,B) -> f10(A,C) [A >= 6 && 0 >= 1 + C] (?,1) 4. f9(A,B) -> f10(A,C) [A >= 6 && C >= 1] (?,1) 5. f10(A,B) -> f9(1 + A,B) [A >= 6] (?,1) 6. f27(A,B) -> f29(A,B) True (?,1) 7. f19(A,B) -> f19(-1 + A,B) [A >= 3] (?,1) 8. f19(A,B) -> f9(A,B) [2 >= A] (?,1) 9. f10(A,B) -> f9(1 + A,B) [5 >= A] (?,1) 10. f9(A,B) -> f19(A,0) [A >= 6] (?,1) 11. f0(A,B) -> f9(C,B) True (1,1) Signature: {(f0,2);(f10,2);(f19,2);(f2,2);(f25,2);(f27,2);(f29,2);(f9,2)} Flow Graph: [0->{5,9},1->{2},2->{2},3->{5,9},4->{5,9},5->{0,3,4,10},6->{},7->{7,8},8->{0,3,4,10},9->{0,3,4,10},10->{7 ,8},11->{0,3,4,10}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(0,5),(3,9),(4,9),(5,0),(8,3),(8,4),(8,10),(10,8)] * Step 2: UnreachableRules NO + Considered Problem: Rules: 0. f9(A,B) -> f10(A,B) [5 >= A] (?,1) 1. f25(A,B) -> f2(A,B) True (?,1) 2. f2(A,B) -> f2(A,B) True (?,1) 3. f9(A,B) -> f10(A,C) [A >= 6 && 0 >= 1 + C] (?,1) 4. f9(A,B) -> f10(A,C) [A >= 6 && C >= 1] (?,1) 5. f10(A,B) -> f9(1 + A,B) [A >= 6] (?,1) 6. f27(A,B) -> f29(A,B) True (?,1) 7. f19(A,B) -> f19(-1 + A,B) [A >= 3] (?,1) 8. f19(A,B) -> f9(A,B) [2 >= A] (?,1) 9. f10(A,B) -> f9(1 + A,B) [5 >= A] (?,1) 10. f9(A,B) -> f19(A,0) [A >= 6] (?,1) 11. f0(A,B) -> f9(C,B) True (1,1) Signature: {(f0,2);(f10,2);(f19,2);(f2,2);(f25,2);(f27,2);(f29,2);(f9,2)} Flow Graph: [0->{9},1->{2},2->{2},3->{5},4->{5},5->{3,4,10},6->{},7->{7,8},8->{0},9->{0,3,4,10},10->{7},11->{0,3,4 ,10}] + Applied Processor: UnreachableRules + Details: Following transitions are not reachable from the starting states and are revomed: [1,2,6] * Step 3: FromIts NO + Considered Problem: Rules: 0. f9(A,B) -> f10(A,B) [5 >= A] (?,1) 3. f9(A,B) -> f10(A,C) [A >= 6 && 0 >= 1 + C] (?,1) 4. f9(A,B) -> f10(A,C) [A >= 6 && C >= 1] (?,1) 5. f10(A,B) -> f9(1 + A,B) [A >= 6] (?,1) 7. f19(A,B) -> f19(-1 + A,B) [A >= 3] (?,1) 8. f19(A,B) -> f9(A,B) [2 >= A] (?,1) 9. f10(A,B) -> f9(1 + A,B) [5 >= A] (?,1) 10. f9(A,B) -> f19(A,0) [A >= 6] (?,1) 11. f0(A,B) -> f9(C,B) True (1,1) Signature: {(f0,2);(f10,2);(f19,2);(f2,2);(f25,2);(f27,2);(f29,2);(f9,2)} Flow Graph: [0->{9},3->{5},4->{5},5->{3,4,10},7->{7,8},8->{0},9->{0,3,4,10},10->{7},11->{0,3,4,10}] + Applied Processor: FromIts + Details: () * Step 4: CloseWith NO + Considered Problem: Rules: f9(A,B) -> f10(A,B) [5 >= A] f9(A,B) -> f10(A,C) [A >= 6 && 0 >= 1 + C] f9(A,B) -> f10(A,C) [A >= 6 && C >= 1] f10(A,B) -> f9(1 + A,B) [A >= 6] f19(A,B) -> f19(-1 + A,B) [A >= 3] f19(A,B) -> f9(A,B) [2 >= A] f10(A,B) -> f9(1 + A,B) [5 >= A] f9(A,B) -> f19(A,0) [A >= 6] f0(A,B) -> f9(C,B) True Signature: {(f0,2);(f10,2);(f19,2);(f2,2);(f25,2);(f27,2);(f29,2);(f9,2)} Rule Graph: [0->{9},3->{5},4->{5},5->{3,4,10},7->{7,8},8->{0},9->{0,3,4,10},10->{7},11->{0,3,4,10}] + Applied Processor: CloseWith False + Details: () NO