NO * Step 1: UnsatRules NO + Considered Problem: Rules: 0. f2(A,B) -> f1(C,D) [0 >= 1 + C && A = 14] (?,1) 1. f2(A,B) -> f2(C,B) [C >= 0 && A = 14] (?,1) 2. f2(A,B) -> f1(-1 + A,C) [A >= 15 && 0 >= A] (?,1) 3. f2(A,B) -> f1(-1 + A,C) [13 >= A && 0 >= A] (?,1) 4. f2(A,B) -> f2(-1 + A,B) [A >= 15 && A >= 1] (?,1) 5. f2(A,B) -> f2(-1 + A,B) [13 >= A && A >= 1] (?,1) 6. f300(A,B) -> f2(A,B) True (1,1) Signature: {(f1,2);(f2,2);(f300,2)} Flow Graph: [0->{},1->{0,1,2,3,4,5},2->{},3->{},4->{0,1,2,3,4,5},5->{0,1,2,3,4,5},6->{0,1,2,3,4,5}] + Applied Processor: UnsatRules + Details: Following transitions have unsatisfiable constraints and are removed: [2] * Step 2: UnsatPaths NO + Considered Problem: Rules: 0. f2(A,B) -> f1(C,D) [0 >= 1 + C && A = 14] (?,1) 1. f2(A,B) -> f2(C,B) [C >= 0 && A = 14] (?,1) 3. f2(A,B) -> f1(-1 + A,C) [13 >= A && 0 >= A] (?,1) 4. f2(A,B) -> f2(-1 + A,B) [A >= 15 && A >= 1] (?,1) 5. f2(A,B) -> f2(-1 + A,B) [13 >= A && A >= 1] (?,1) 6. f300(A,B) -> f2(A,B) True (1,1) Signature: {(f1,2);(f2,2);(f300,2)} Flow Graph: [0->{},1->{0,1,3,4,5},3->{},4->{0,1,3,4,5},5->{0,1,3,4,5},6->{0,1,3,4,5}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(4,3),(4,5),(5,0),(5,1),(5,4)] * Step 3: FromIts NO + Considered Problem: Rules: 0. f2(A,B) -> f1(C,D) [0 >= 1 + C && A = 14] (?,1) 1. f2(A,B) -> f2(C,B) [C >= 0 && A = 14] (?,1) 3. f2(A,B) -> f1(-1 + A,C) [13 >= A && 0 >= A] (?,1) 4. f2(A,B) -> f2(-1 + A,B) [A >= 15 && A >= 1] (?,1) 5. f2(A,B) -> f2(-1 + A,B) [13 >= A && A >= 1] (?,1) 6. f300(A,B) -> f2(A,B) True (1,1) Signature: {(f1,2);(f2,2);(f300,2)} Flow Graph: [0->{},1->{0,1,3,4,5},3->{},4->{0,1,4},5->{3,5},6->{0,1,3,4,5}] + Applied Processor: FromIts + Details: () * Step 4: CloseWith NO + Considered Problem: Rules: f2(A,B) -> f1(C,D) [0 >= 1 + C && A = 14] f2(A,B) -> f2(C,B) [C >= 0 && A = 14] f2(A,B) -> f1(-1 + A,C) [13 >= A && 0 >= A] f2(A,B) -> f2(-1 + A,B) [A >= 15 && A >= 1] f2(A,B) -> f2(-1 + A,B) [13 >= A && A >= 1] f300(A,B) -> f2(A,B) True Signature: {(f1,2);(f2,2);(f300,2)} Rule Graph: [0->{},1->{0,1,3,4,5},3->{},4->{0,1,4},5->{3,5},6->{0,1,3,4,5}] + Applied Processor: CloseWith False + Details: () NO