NO * Step 1: UnsatPaths NO + Considered Problem: Rules: 0. f11(A,B,C) -> f14(A,B,C) [A >= 6] (?,1) 1. f11(A,B,C) -> f14(A,B,C) [5 >= A && 0 >= B] (?,1) 2. f14(A,B,C) -> f11(1 + A,D,C) [A >= 6] (?,1) 3. f26(A,B,C) -> f27(A,B,C) True (?,1) 4. f27(A,B,C) -> f27(A,B,C) True (?,1) 5. f29(A,B,C) -> f32(A,B,C) True (?,1) 6. f20(A,B,C) -> f20(-1 + A,B,C) [A >= 3] (?,1) 7. f20(A,B,C) -> f11(A,D,C) [2 >= A] (?,1) 8. f14(A,B,C) -> f11(1 + A,D,C) [5 >= A] (?,1) 9. f11(A,B,C) -> f20(A,B,C) [5 >= A && B >= 1] (?,1) 10. f0(A,B,C) -> f11(D,E,D) True (1,1) Signature: {(f0,3);(f11,3);(f14,3);(f20,3);(f26,3);(f27,3);(f29,3);(f32,3)} Flow Graph: [0->{2,8},1->{2,8},2->{0,1,9},3->{4},4->{4},5->{},6->{6,7},7->{0,1,9},8->{0,1,9},9->{6,7},10->{0,1,9}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(0,8),(1,2),(2,1),(2,9),(7,0)] * Step 2: UnreachableRules NO + Considered Problem: Rules: 0. f11(A,B,C) -> f14(A,B,C) [A >= 6] (?,1) 1. f11(A,B,C) -> f14(A,B,C) [5 >= A && 0 >= B] (?,1) 2. f14(A,B,C) -> f11(1 + A,D,C) [A >= 6] (?,1) 3. f26(A,B,C) -> f27(A,B,C) True (?,1) 4. f27(A,B,C) -> f27(A,B,C) True (?,1) 5. f29(A,B,C) -> f32(A,B,C) True (?,1) 6. f20(A,B,C) -> f20(-1 + A,B,C) [A >= 3] (?,1) 7. f20(A,B,C) -> f11(A,D,C) [2 >= A] (?,1) 8. f14(A,B,C) -> f11(1 + A,D,C) [5 >= A] (?,1) 9. f11(A,B,C) -> f20(A,B,C) [5 >= A && B >= 1] (?,1) 10. f0(A,B,C) -> f11(D,E,D) True (1,1) Signature: {(f0,3);(f11,3);(f14,3);(f20,3);(f26,3);(f27,3);(f29,3);(f32,3)} Flow Graph: [0->{2},1->{8},2->{0},3->{4},4->{4},5->{},6->{6,7},7->{1,9},8->{0,1,9},9->{6,7},10->{0,1,9}] + Applied Processor: UnreachableRules + Details: Following transitions are not reachable from the starting states and are revomed: [3,4,5] * Step 3: FromIts NO + Considered Problem: Rules: 0. f11(A,B,C) -> f14(A,B,C) [A >= 6] (?,1) 1. f11(A,B,C) -> f14(A,B,C) [5 >= A && 0 >= B] (?,1) 2. f14(A,B,C) -> f11(1 + A,D,C) [A >= 6] (?,1) 6. f20(A,B,C) -> f20(-1 + A,B,C) [A >= 3] (?,1) 7. f20(A,B,C) -> f11(A,D,C) [2 >= A] (?,1) 8. f14(A,B,C) -> f11(1 + A,D,C) [5 >= A] (?,1) 9. f11(A,B,C) -> f20(A,B,C) [5 >= A && B >= 1] (?,1) 10. f0(A,B,C) -> f11(D,E,D) True (1,1) Signature: {(f0,3);(f11,3);(f14,3);(f20,3);(f26,3);(f27,3);(f29,3);(f32,3)} Flow Graph: [0->{2},1->{8},2->{0},6->{6,7},7->{1,9},8->{0,1,9},9->{6,7},10->{0,1,9}] + Applied Processor: FromIts + Details: () * Step 4: CloseWith NO + Considered Problem: Rules: f11(A,B,C) -> f14(A,B,C) [A >= 6] f11(A,B,C) -> f14(A,B,C) [5 >= A && 0 >= B] f14(A,B,C) -> f11(1 + A,D,C) [A >= 6] f20(A,B,C) -> f20(-1 + A,B,C) [A >= 3] f20(A,B,C) -> f11(A,D,C) [2 >= A] f14(A,B,C) -> f11(1 + A,D,C) [5 >= A] f11(A,B,C) -> f20(A,B,C) [5 >= A && B >= 1] f0(A,B,C) -> f11(D,E,D) True Signature: {(f0,3);(f11,3);(f14,3);(f20,3);(f26,3);(f27,3);(f29,3);(f32,3)} Rule Graph: [0->{2},1->{8},2->{0},6->{6,7},7->{1,9},8->{0,1,9},9->{6,7},10->{0,1,9}] + Applied Processor: CloseWith False + Details: () NO