Initial Problem

Start: n_f2
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars: B_P, C_P, NoDet0
Locations: n_f1___3, n_f1___4, n_f1___8, n_f2, n_f300___1, n_f300___2, n_f300___5, n_f300___6, n_f300___7, n_f300___9
Transitions:
0:n_f2(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f300___9(Arg_0,Arg_1,Arg_2,Arg_3)
1:n_f300___1(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f300___5(Arg_0,Arg_1+1,0,Arg_3):|:1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=Arg_1 && 1+Arg_2<=0 && 1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1
2:n_f300___1(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f300___6(Arg_0+1,Arg_1,C_P,Arg_3):|:1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=Arg_1 && 1+Arg_2<=0 && 1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && 1+C_P<=0
3:n_f300___1(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f300___7(Arg_0+1,B_P,C_P,Arg_3):|:1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=Arg_1 && 1+Arg_2<=0 && 1+Arg_0<=Arg_1 && 1<=C_P && 1+Arg_0<=B_P && Arg_1<=B_P && B_P<=Arg_1
4:n_f300___2(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f300___5(Arg_0,Arg_1+1,0,Arg_3):|:1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=Arg_1 && 1<=Arg_2 && 1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1
5:n_f300___2(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f300___6(Arg_0+1,Arg_1,C_P,Arg_3):|:1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=Arg_1 && 1<=Arg_2 && 1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && 1+C_P<=0
6:n_f300___2(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f300___7(Arg_0+1,B_P,C_P,Arg_3):|:1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=Arg_1 && 1<=Arg_2 && 1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && 1<=C_P && 1+Arg_0<=B_P && Arg_1<=B_P && B_P<=Arg_1
7:n_f300___5(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f300___1(Arg_0+1,Arg_1,C_P,Arg_3):|:1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_2<=0 && 0<=Arg_2 && 2+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && 1+C_P<=0
8:n_f300___5(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f300___2(Arg_0+1,B_P,C_P,Arg_3):|:1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_2<=0 && 0<=Arg_2 && 2+Arg_0<=Arg_1 && 1<=C_P && 1+Arg_0<=B_P && Arg_1<=B_P && B_P<=Arg_1
9:n_f300___5(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f300___5(Arg_0,Arg_1+1,0,Arg_3):|:1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_2<=0 && 0<=Arg_2 && 2+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1
10:n_f300___6(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f1___3(Arg_0,B_P,Arg_2,NoDet0):|:Arg_0<=Arg_1 && 1+Arg_2<=0 && B_P<=Arg_0 && Arg_1<=B_P && B_P<=Arg_1
11:n_f300___6(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f300___5(Arg_0,Arg_1+1,0,Arg_3):|:Arg_0<=Arg_1 && 1+Arg_2<=0 && 1+Arg_0<=Arg_1
12:n_f300___6(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f300___6(Arg_0+1,Arg_1,C_P,Arg_3):|:Arg_0<=Arg_1 && 1+Arg_2<=0 && 1+Arg_0<=Arg_1 && 1+C_P<=0
13:n_f300___6(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f300___7(Arg_0+1,B_P,C_P,Arg_3):|:Arg_0<=Arg_1 && 1+Arg_2<=0 && 1<=C_P && 1+Arg_0<=B_P && Arg_1<=B_P && B_P<=Arg_1
14:n_f300___7(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f1___4(Arg_0,B_P,Arg_2,NoDet0):|:Arg_0<=Arg_1 && 1<=Arg_2 && B_P<=Arg_0 && Arg_1<=B_P && B_P<=Arg_1
15:n_f300___7(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f300___5(Arg_0,Arg_1+1,0,Arg_3):|:Arg_0<=Arg_1 && 1<=Arg_2 && 1+Arg_0<=Arg_1
16:n_f300___7(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f300___6(Arg_0+1,Arg_1,C_P,Arg_3):|:Arg_0<=Arg_1 && 1<=Arg_2 && 1+Arg_0<=Arg_1 && 1+C_P<=0
17:n_f300___7(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f300___7(Arg_0+1,B_P,C_P,Arg_3):|:Arg_0<=Arg_1 && 1<=Arg_2 && 1<=C_P && 1+Arg_0<=B_P && Arg_1<=B_P && B_P<=Arg_1
18:n_f300___9(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f1___8(Arg_0,B_P,Arg_2,NoDet0):|:B_P<=Arg_0 && Arg_1<=B_P && B_P<=Arg_1
19:n_f300___9(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f300___5(Arg_0,Arg_1+1,0,Arg_3):|:1+Arg_0<=Arg_1
20:n_f300___9(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f300___6(Arg_0+1,Arg_1,C_P,Arg_3):|:1+Arg_0<=Arg_1 && 1+C_P<=0
21:n_f300___9(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f300___7(Arg_0+1,B_P,C_P,Arg_3):|:1<=C_P && 1+Arg_0<=B_P && Arg_1<=B_P && B_P<=Arg_1

Preprocessing

Eliminate variables {NoDet0,Arg_3} that do not contribute to the problem

Found invariant 1+Arg_2<=0 && 1+Arg_0<=Arg_1 for location n_f300___1

Found invariant 1<=Arg_2 && Arg_0<=Arg_1 for location n_f300___7

Found invariant 1<=Arg_2 && 1+Arg_0<=Arg_1 for location n_f300___2

Found invariant 1<=Arg_2 && Arg_1<=Arg_0 && Arg_0<=Arg_1 for location n_f1___4

Found invariant 1+Arg_2<=0 && Arg_1<=Arg_0 && Arg_0<=Arg_1 for location n_f1___3

Found invariant Arg_2<=0 && 0<=Arg_2 && 2+Arg_0<=Arg_1 for location n_f300___5

Found invariant 1+Arg_2<=0 && Arg_0<=Arg_1 for location n_f300___6

Found invariant Arg_1<=Arg_0 for location n_f1___8

Problem after Preprocessing

Start: n_f2
Program_Vars: Arg_0, Arg_1, Arg_2
Temp_Vars: B_P, C_P
Locations: n_f1___3, n_f1___4, n_f1___8, n_f2, n_f300___1, n_f300___2, n_f300___5, n_f300___6, n_f300___7, n_f300___9
Transitions:
44:n_f2(Arg_0,Arg_1,Arg_2) -> n_f300___9(Arg_0,Arg_1,Arg_2)
45:n_f300___1(Arg_0,Arg_1,Arg_2) -> n_f300___5(Arg_0,Arg_1+1,0):|:1+Arg_2<=0 && 1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=Arg_1 && 1+Arg_2<=0 && 1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1
46:n_f300___1(Arg_0,Arg_1,Arg_2) -> n_f300___6(Arg_0+1,Arg_1,C_P):|:1+Arg_2<=0 && 1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=Arg_1 && 1+Arg_2<=0 && 1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && 1+C_P<=0
47:n_f300___1(Arg_0,Arg_1,Arg_2) -> n_f300___7(Arg_0+1,B_P,C_P):|:1+Arg_2<=0 && 1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=Arg_1 && 1+Arg_2<=0 && 1+Arg_0<=Arg_1 && 1<=C_P && 1+Arg_0<=B_P && Arg_1<=B_P && B_P<=Arg_1
48:n_f300___2(Arg_0,Arg_1,Arg_2) -> n_f300___5(Arg_0,Arg_1+1,0):|:1<=Arg_2 && 1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=Arg_1 && 1<=Arg_2 && 1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1
49:n_f300___2(Arg_0,Arg_1,Arg_2) -> n_f300___6(Arg_0+1,Arg_1,C_P):|:1<=Arg_2 && 1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=Arg_1 && 1<=Arg_2 && 1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && 1+C_P<=0
50:n_f300___2(Arg_0,Arg_1,Arg_2) -> n_f300___7(Arg_0+1,B_P,C_P):|:1<=Arg_2 && 1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=Arg_1 && 1<=Arg_2 && 1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && 1<=C_P && 1+Arg_0<=B_P && Arg_1<=B_P && B_P<=Arg_1
51:n_f300___5(Arg_0,Arg_1,Arg_2) -> n_f300___1(Arg_0+1,Arg_1,C_P):|:Arg_2<=0 && 0<=Arg_2 && 2+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_2<=0 && 0<=Arg_2 && 2+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && 1+C_P<=0
52:n_f300___5(Arg_0,Arg_1,Arg_2) -> n_f300___2(Arg_0+1,B_P,C_P):|:Arg_2<=0 && 0<=Arg_2 && 2+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_2<=0 && 0<=Arg_2 && 2+Arg_0<=Arg_1 && 1<=C_P && 1+Arg_0<=B_P && Arg_1<=B_P && B_P<=Arg_1
53:n_f300___5(Arg_0,Arg_1,Arg_2) -> n_f300___5(Arg_0,Arg_1+1,0):|:Arg_2<=0 && 0<=Arg_2 && 2+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_2<=0 && 0<=Arg_2 && 2+Arg_0<=Arg_1 && 1+Arg_0<=Arg_1
54:n_f300___6(Arg_0,Arg_1,Arg_2) -> n_f1___3(Arg_0,B_P,Arg_2):|:1+Arg_2<=0 && Arg_0<=Arg_1 && Arg_0<=Arg_1 && 1+Arg_2<=0 && B_P<=Arg_0 && Arg_1<=B_P && B_P<=Arg_1
55:n_f300___6(Arg_0,Arg_1,Arg_2) -> n_f300___5(Arg_0,Arg_1+1,0):|:1+Arg_2<=0 && Arg_0<=Arg_1 && Arg_0<=Arg_1 && 1+Arg_2<=0 && 1+Arg_0<=Arg_1
56:n_f300___6(Arg_0,Arg_1,Arg_2) -> n_f300___6(Arg_0+1,Arg_1,C_P):|:1+Arg_2<=0 && Arg_0<=Arg_1 && Arg_0<=Arg_1 && 1+Arg_2<=0 && 1+Arg_0<=Arg_1 && 1+C_P<=0
57:n_f300___6(Arg_0,Arg_1,Arg_2) -> n_f300___7(Arg_0+1,B_P,C_P):|:1+Arg_2<=0 && Arg_0<=Arg_1 && Arg_0<=Arg_1 && 1+Arg_2<=0 && 1<=C_P && 1+Arg_0<=B_P && Arg_1<=B_P && B_P<=Arg_1
58:n_f300___7(Arg_0,Arg_1,Arg_2) -> n_f1___4(Arg_0,B_P,Arg_2):|:1<=Arg_2 && Arg_0<=Arg_1 && Arg_0<=Arg_1 && 1<=Arg_2 && B_P<=Arg_0 && Arg_1<=B_P && B_P<=Arg_1
59:n_f300___7(Arg_0,Arg_1,Arg_2) -> n_f300___5(Arg_0,Arg_1+1,0):|:1<=Arg_2 && Arg_0<=Arg_1 && Arg_0<=Arg_1 && 1<=Arg_2 && 1+Arg_0<=Arg_1
60:n_f300___7(Arg_0,Arg_1,Arg_2) -> n_f300___6(Arg_0+1,Arg_1,C_P):|:1<=Arg_2 && Arg_0<=Arg_1 && Arg_0<=Arg_1 && 1<=Arg_2 && 1+Arg_0<=Arg_1 && 1+C_P<=0
61:n_f300___7(Arg_0,Arg_1,Arg_2) -> n_f300___7(Arg_0+1,B_P,C_P):|:1<=Arg_2 && Arg_0<=Arg_1 && Arg_0<=Arg_1 && 1<=Arg_2 && 1<=C_P && 1+Arg_0<=B_P && Arg_1<=B_P && B_P<=Arg_1
62:n_f300___9(Arg_0,Arg_1,Arg_2) -> n_f1___8(Arg_0,B_P,Arg_2):|:B_P<=Arg_0 && Arg_1<=B_P && B_P<=Arg_1
63:n_f300___9(Arg_0,Arg_1,Arg_2) -> n_f300___5(Arg_0,Arg_1+1,0):|:1+Arg_0<=Arg_1
64:n_f300___9(Arg_0,Arg_1,Arg_2) -> n_f300___6(Arg_0+1,Arg_1,C_P):|:1+Arg_0<=Arg_1 && 1+C_P<=0
65:n_f300___9(Arg_0,Arg_1,Arg_2) -> n_f300___7(Arg_0+1,B_P,C_P):|:1<=C_P && 1+Arg_0<=B_P && Arg_1<=B_P && B_P<=Arg_1

All Bounds

Timebounds

Overall timebound:inf {Infinity}
44: n_f2->n_f300___9: 1 {O(1)}
45: n_f300___1->n_f300___5: inf {Infinity}
46: n_f300___1->n_f300___6: inf {Infinity}
47: n_f300___1->n_f300___7: inf {Infinity}
48: n_f300___2->n_f300___5: inf {Infinity}
49: n_f300___2->n_f300___6: inf {Infinity}
50: n_f300___2->n_f300___7: inf {Infinity}
51: n_f300___5->n_f300___1: inf {Infinity}
52: n_f300___5->n_f300___2: inf {Infinity}
53: n_f300___5->n_f300___5: inf {Infinity}
54: n_f300___6->n_f1___3: 1 {O(1)}
55: n_f300___6->n_f300___5: inf {Infinity}
56: n_f300___6->n_f300___6: inf {Infinity}
57: n_f300___6->n_f300___7: inf {Infinity}
58: n_f300___7->n_f1___4: 1 {O(1)}
59: n_f300___7->n_f300___5: inf {Infinity}
60: n_f300___7->n_f300___6: inf {Infinity}
61: n_f300___7->n_f300___7: inf {Infinity}
62: n_f300___9->n_f1___8: 1 {O(1)}
63: n_f300___9->n_f300___5: 1 {O(1)}
64: n_f300___9->n_f300___6: 1 {O(1)}
65: n_f300___9->n_f300___7: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
44: n_f2->n_f300___9: 1 {O(1)}
45: n_f300___1->n_f300___5: inf {Infinity}
46: n_f300___1->n_f300___6: inf {Infinity}
47: n_f300___1->n_f300___7: inf {Infinity}
48: n_f300___2->n_f300___5: inf {Infinity}
49: n_f300___2->n_f300___6: inf {Infinity}
50: n_f300___2->n_f300___7: inf {Infinity}
51: n_f300___5->n_f300___1: inf {Infinity}
52: n_f300___5->n_f300___2: inf {Infinity}
53: n_f300___5->n_f300___5: inf {Infinity}
54: n_f300___6->n_f1___3: 1 {O(1)}
55: n_f300___6->n_f300___5: inf {Infinity}
56: n_f300___6->n_f300___6: inf {Infinity}
57: n_f300___6->n_f300___7: inf {Infinity}
58: n_f300___7->n_f1___4: 1 {O(1)}
59: n_f300___7->n_f300___5: inf {Infinity}
60: n_f300___7->n_f300___6: inf {Infinity}
61: n_f300___7->n_f300___7: inf {Infinity}
62: n_f300___9->n_f1___8: 1 {O(1)}
63: n_f300___9->n_f300___5: 1 {O(1)}
64: n_f300___9->n_f300___6: 1 {O(1)}
65: n_f300___9->n_f300___7: 1 {O(1)}

Sizebounds

44: n_f2->n_f300___9, Arg_0: Arg_0 {O(n)}
44: n_f2->n_f300___9, Arg_1: Arg_1 {O(n)}
44: n_f2->n_f300___9, Arg_2: Arg_2 {O(n)}
45: n_f300___1->n_f300___5, Arg_2: 0 {O(1)}
48: n_f300___2->n_f300___5, Arg_2: 0 {O(1)}
53: n_f300___5->n_f300___5, Arg_2: 0 {O(1)}
55: n_f300___6->n_f300___5, Arg_2: 0 {O(1)}
59: n_f300___7->n_f300___5, Arg_2: 0 {O(1)}
62: n_f300___9->n_f1___8, Arg_0: Arg_0 {O(n)}
62: n_f300___9->n_f1___8, Arg_1: Arg_1 {O(n)}
62: n_f300___9->n_f1___8, Arg_2: Arg_2 {O(n)}
63: n_f300___9->n_f300___5, Arg_0: Arg_0 {O(n)}
63: n_f300___9->n_f300___5, Arg_1: Arg_1+1 {O(n)}
63: n_f300___9->n_f300___5, Arg_2: 0 {O(1)}
64: n_f300___9->n_f300___6, Arg_0: Arg_0+1 {O(n)}
64: n_f300___9->n_f300___6, Arg_1: Arg_1 {O(n)}
65: n_f300___9->n_f300___7, Arg_0: Arg_0+1 {O(n)}
65: n_f300___9->n_f300___7, Arg_1: Arg_1 {O(n)}