MAYBE * Step 1: TrivialSCCs MAYBE + 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: TrivialSCCs + Details: All trivial SCCs of the transition graph admit timebound 1. * Step 2: UnsatPaths MAYBE + Considered Problem: Rules: 0. f2(A,B) -> f1(C,D) [0 >= 1 + C && A = 14] (1,1) 1. f2(A,B) -> f2(C,B) [C >= 0 && A = 14] (?,1) 2. f2(A,B) -> f1(-1 + A,C) [A >= 15 && 0 >= A] (1,1) 3. f2(A,B) -> f1(-1 + A,C) [13 >= A && 0 >= A] (1,1) 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: UnsatPaths + Details: We remove following edges from the transition graph: [(1,2),(4,2),(4,3),(4,5),(5,0),(5,1),(5,2),(5,4),(6,2)] * Step 3: UnreachableRules MAYBE + Considered Problem: Rules: 0. f2(A,B) -> f1(C,D) [0 >= 1 + C && A = 14] (1,1) 1. f2(A,B) -> f2(C,B) [C >= 0 && A = 14] (?,1) 2. f2(A,B) -> f1(-1 + A,C) [A >= 15 && 0 >= A] (1,1) 3. f2(A,B) -> f1(-1 + A,C) [13 >= A && 0 >= A] (1,1) 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},2->{},3->{},4->{0,1,4},5->{3,5},6->{0,1,3,4,5}] + Applied Processor: UnreachableRules + Details: Following transitions are not reachable from the starting states and are revomed: [2] * Step 4: AddSinks MAYBE + Considered Problem: Rules: 0. f2(A,B) -> f1(C,D) [0 >= 1 + C && A = 14] (1,1) 1. f2(A,B) -> f2(C,B) [C >= 0 && A = 14] (?,1) 3. f2(A,B) -> f1(-1 + A,C) [13 >= A && 0 >= A] (1,1) 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: AddSinks + Details: () * Step 5: UnsatPaths MAYBE + 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) 7. f2(A,B) -> exitus616(A,B) True (?,1) Signature: {(exitus616,2);(f1,2);(f2,2);(f300,2)} Flow Graph: [0->{},1->{0,1,3,4,5,7},3->{},4->{0,1,3,4,5,7},5->{0,1,3,4,5,7},6->{0,1,3,4,5,7},7->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(4,3),(4,5),(5,0),(5,1),(5,4)] * Step 6: Failure MAYBE + 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) 7. f2(A,B) -> exitus616(A,B) True (?,1) Signature: {(exitus616,2);(f1,2);(f2,2);(f300,2)} Flow Graph: [0->{},1->{0,1,3,4,5,7},3->{},4->{0,1,4,7},5->{3,5,7},6->{0,1,3,4,5,7},7->{}] + Applied Processor: LooptreeTransformer + Details: We construct a looptree: P: [0,1,3,4,5,6,7] | +- p:[1,4] c: [] | `- p:[5] c: [5] MAYBE