Initial Problem

Start: n_f0
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars:
Locations: n_f0, n_f10001___1, n_f10001___10, n_f10001___11, n_f10001___12, n_f10001___13, n_f10001___3, n_f10001___4, n_f10001___6, n_f110___9, n_f1200___2, n_f120___5, n_f12___8, n_f2___7
Transitions:
0:n_f0(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f10001___10(Arg_1,1,Arg_2,1)
1:n_f0(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f10001___11(Arg_1,Arg_1,Arg_2,1)
2:n_f0(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f10001___12(Arg_0,1,Arg_2,Arg_3)
3:n_f0(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f10001___13(Arg_0,Arg_1,Arg_2,Arg_3)
4:n_f0(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f110___9(1,1,Arg_2,Arg_3)
5:n_f0(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f12___8(Arg_1,2,Arg_2,Arg_3)
6:n_f0(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f2___7(Arg_0,2,Arg_2,Arg_3)
7:n_f110___9(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f10001___6(Arg_0,Arg_1,Arg_2,1):|:Arg_0<=1 && 1<=Arg_0 && Arg_1<=1 && 1<=Arg_1
8:n_f110___9(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f120___5(Arg_0,2,Arg_2,Arg_3):|:Arg_0<=1 && 1<=Arg_0 && Arg_1<=1 && 1<=Arg_1
9:n_f1200___2(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f10001___1(Arg_0,Arg_1,Arg_2,1):|:Arg_1<=2 && 2<=Arg_1 && Arg_0<=Arg_1 && Arg_1<=Arg_0
10:n_f1200___2(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f1200___2(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=2 && 2<=Arg_1 && Arg_0<=Arg_1 && Arg_1<=Arg_0
11:n_f120___5(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f10001___4(Arg_0,Arg_1,Arg_2,1):|:Arg_1<=2 && 2<=Arg_1
12:n_f120___5(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f120___5(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=2 && 2<=Arg_1
13:n_f12___8(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f10001___4(Arg_0,Arg_1,Arg_2,1):|:Arg_1<=2 && 2<=Arg_1
14:n_f12___8(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f12___8(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=2 && 2<=Arg_1
15:n_f2___7(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f10001___3(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=2 && 2<=Arg_1
16:n_f2___7(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f1200___2(Arg_1,Arg_1,Arg_2,Arg_3):|:Arg_1<=2 && 2<=Arg_1
17:n_f2___7(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f2___7(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=2 && 2<=Arg_1

Preprocessing

Eliminate variables {Arg_2,Arg_3} that do not contribute to the problem

Found invariant Arg_1<=1 && 1<=Arg_1 for location n_f10001___12

Found invariant Arg_1<=2 && Arg_1<=Arg_0 && Arg_0+Arg_1<=4 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=2 && 2<=Arg_0 for location n_f1200___2

Found invariant Arg_1<=2 && 2<=Arg_1 for location n_f2___7

Found invariant Arg_1<=1 && 1<=Arg_1 for location n_f10001___10

Found invariant Arg_1<=2 && 2<=Arg_1 for location n_f12___8

Found invariant Arg_1<=1 && Arg_1<=Arg_0 && Arg_0+Arg_1<=2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=1 && 1<=Arg_0 for location n_f10001___6

Found invariant Arg_1<=2 && Arg_1<=1+Arg_0 && Arg_0+Arg_1<=3 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=1 && 1<=Arg_0 for location n_f120___5

Found invariant Arg_1<=Arg_0 && Arg_0<=Arg_1 for location n_f10001___11

Found invariant Arg_1<=2 && Arg_1<=Arg_0 && Arg_0+Arg_1<=4 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=2 && 2<=Arg_0 for location n_f10001___1

Found invariant Arg_1<=2 && 2<=Arg_1 for location n_f10001___4

Found invariant Arg_1<=1 && Arg_1<=Arg_0 && Arg_0+Arg_1<=2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=1 && 1<=Arg_0 for location n_f110___9

Found invariant Arg_1<=2 && 2<=Arg_1 for location n_f10001___3

Problem after Preprocessing

Start: n_f0
Program_Vars: Arg_0, Arg_1
Temp_Vars:
Locations: n_f0, n_f10001___1, n_f10001___10, n_f10001___11, n_f10001___12, n_f10001___13, n_f10001___3, n_f10001___4, n_f10001___6, n_f110___9, n_f1200___2, n_f120___5, n_f12___8, n_f2___7
Transitions:
33:n_f0(Arg_0,Arg_1) -> n_f10001___10(Arg_1,1)
34:n_f0(Arg_0,Arg_1) -> n_f10001___11(Arg_1,Arg_1)
35:n_f0(Arg_0,Arg_1) -> n_f10001___12(Arg_0,1)
36:n_f0(Arg_0,Arg_1) -> n_f10001___13(Arg_0,Arg_1)
37:n_f0(Arg_0,Arg_1) -> n_f110___9(1,1)
38:n_f0(Arg_0,Arg_1) -> n_f12___8(Arg_1,2)
39:n_f0(Arg_0,Arg_1) -> n_f2___7(Arg_0,2)
40:n_f110___9(Arg_0,Arg_1) -> n_f10001___6(Arg_0,Arg_1):|:Arg_1<=1 && Arg_1<=Arg_0 && Arg_0+Arg_1<=2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=1 && 1<=Arg_0 && Arg_0<=1 && 1<=Arg_0 && Arg_1<=1 && 1<=Arg_1
41:n_f110___9(Arg_0,Arg_1) -> n_f120___5(Arg_0,2):|:Arg_1<=1 && Arg_1<=Arg_0 && Arg_0+Arg_1<=2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=1 && 1<=Arg_0 && Arg_0<=1 && 1<=Arg_0 && Arg_1<=1 && 1<=Arg_1
42:n_f1200___2(Arg_0,Arg_1) -> n_f10001___1(Arg_0,Arg_1):|:Arg_1<=2 && Arg_1<=Arg_0 && Arg_0+Arg_1<=4 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=2 && 2<=Arg_0 && Arg_1<=2 && 2<=Arg_1 && Arg_0<=Arg_1 && Arg_1<=Arg_0
43:n_f1200___2(Arg_0,Arg_1) -> n_f1200___2(Arg_0,Arg_1):|:Arg_1<=2 && Arg_1<=Arg_0 && Arg_0+Arg_1<=4 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=2 && 2<=Arg_0 && Arg_1<=2 && 2<=Arg_1 && Arg_0<=Arg_1 && Arg_1<=Arg_0
44:n_f120___5(Arg_0,Arg_1) -> n_f10001___4(Arg_0,Arg_1):|:Arg_1<=2 && Arg_1<=1+Arg_0 && Arg_0+Arg_1<=3 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=1 && 1<=Arg_0 && Arg_1<=2 && 2<=Arg_1
45:n_f120___5(Arg_0,Arg_1) -> n_f120___5(Arg_0,Arg_1):|:Arg_1<=2 && Arg_1<=1+Arg_0 && Arg_0+Arg_1<=3 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=1 && 1<=Arg_0 && Arg_1<=2 && 2<=Arg_1
46:n_f12___8(Arg_0,Arg_1) -> n_f10001___4(Arg_0,Arg_1):|:Arg_1<=2 && 2<=Arg_1 && Arg_1<=2 && 2<=Arg_1
47:n_f12___8(Arg_0,Arg_1) -> n_f12___8(Arg_0,Arg_1):|:Arg_1<=2 && 2<=Arg_1 && Arg_1<=2 && 2<=Arg_1
48:n_f2___7(Arg_0,Arg_1) -> n_f10001___3(Arg_0,Arg_1):|:Arg_1<=2 && 2<=Arg_1 && Arg_1<=2 && 2<=Arg_1
49:n_f2___7(Arg_0,Arg_1) -> n_f1200___2(Arg_1,Arg_1):|:Arg_1<=2 && 2<=Arg_1 && Arg_1<=2 && 2<=Arg_1
50:n_f2___7(Arg_0,Arg_1) -> n_f2___7(Arg_0,Arg_1):|:Arg_1<=2 && 2<=Arg_1 && Arg_1<=2 && 2<=Arg_1

All Bounds

Timebounds

Overall timebound:inf {Infinity}
33: n_f0->n_f10001___10: 1 {O(1)}
34: n_f0->n_f10001___11: 1 {O(1)}
35: n_f0->n_f10001___12: 1 {O(1)}
36: n_f0->n_f10001___13: 1 {O(1)}
37: n_f0->n_f110___9: 1 {O(1)}
38: n_f0->n_f12___8: 1 {O(1)}
39: n_f0->n_f2___7: 1 {O(1)}
40: n_f110___9->n_f10001___6: 1 {O(1)}
41: n_f110___9->n_f120___5: 1 {O(1)}
42: n_f1200___2->n_f10001___1: 1 {O(1)}
43: n_f1200___2->n_f1200___2: inf {Infinity}
44: n_f120___5->n_f10001___4: 1 {O(1)}
45: n_f120___5->n_f120___5: inf {Infinity}
46: n_f12___8->n_f10001___4: 1 {O(1)}
47: n_f12___8->n_f12___8: inf {Infinity}
48: n_f2___7->n_f10001___3: 1 {O(1)}
49: n_f2___7->n_f1200___2: 1 {O(1)}
50: n_f2___7->n_f2___7: inf {Infinity}

Costbounds

Overall costbound: inf {Infinity}
33: n_f0->n_f10001___10: 1 {O(1)}
34: n_f0->n_f10001___11: 1 {O(1)}
35: n_f0->n_f10001___12: 1 {O(1)}
36: n_f0->n_f10001___13: 1 {O(1)}
37: n_f0->n_f110___9: 1 {O(1)}
38: n_f0->n_f12___8: 1 {O(1)}
39: n_f0->n_f2___7: 1 {O(1)}
40: n_f110___9->n_f10001___6: 1 {O(1)}
41: n_f110___9->n_f120___5: 1 {O(1)}
42: n_f1200___2->n_f10001___1: 1 {O(1)}
43: n_f1200___2->n_f1200___2: inf {Infinity}
44: n_f120___5->n_f10001___4: 1 {O(1)}
45: n_f120___5->n_f120___5: inf {Infinity}
46: n_f12___8->n_f10001___4: 1 {O(1)}
47: n_f12___8->n_f12___8: inf {Infinity}
48: n_f2___7->n_f10001___3: 1 {O(1)}
49: n_f2___7->n_f1200___2: 1 {O(1)}
50: n_f2___7->n_f2___7: inf {Infinity}

Sizebounds

33: n_f0->n_f10001___10, Arg_0: Arg_1 {O(n)}
33: n_f0->n_f10001___10, Arg_1: 1 {O(1)}
34: n_f0->n_f10001___11, Arg_0: Arg_1 {O(n)}
34: n_f0->n_f10001___11, Arg_1: Arg_1 {O(n)}
35: n_f0->n_f10001___12, Arg_0: Arg_0 {O(n)}
35: n_f0->n_f10001___12, Arg_1: 1 {O(1)}
36: n_f0->n_f10001___13, Arg_0: Arg_0 {O(n)}
36: n_f0->n_f10001___13, Arg_1: Arg_1 {O(n)}
37: n_f0->n_f110___9, Arg_0: 1 {O(1)}
37: n_f0->n_f110___9, Arg_1: 1 {O(1)}
38: n_f0->n_f12___8, Arg_0: Arg_1 {O(n)}
38: n_f0->n_f12___8, Arg_1: 2 {O(1)}
39: n_f0->n_f2___7, Arg_0: Arg_0 {O(n)}
39: n_f0->n_f2___7, Arg_1: 2 {O(1)}
40: n_f110___9->n_f10001___6, Arg_0: 1 {O(1)}
40: n_f110___9->n_f10001___6, Arg_1: 1 {O(1)}
41: n_f110___9->n_f120___5, Arg_0: 1 {O(1)}
41: n_f110___9->n_f120___5, Arg_1: 2 {O(1)}
42: n_f1200___2->n_f10001___1, Arg_0: 2 {O(1)}
42: n_f1200___2->n_f10001___1, Arg_1: 2 {O(1)}
43: n_f1200___2->n_f1200___2, Arg_0: 2 {O(1)}
43: n_f1200___2->n_f1200___2, Arg_1: 2 {O(1)}
44: n_f120___5->n_f10001___4, Arg_0: 1 {O(1)}
44: n_f120___5->n_f10001___4, Arg_1: 2 {O(1)}
45: n_f120___5->n_f120___5, Arg_0: 1 {O(1)}
45: n_f120___5->n_f120___5, Arg_1: 2 {O(1)}
46: n_f12___8->n_f10001___4, Arg_0: 2*Arg_1 {O(n)}
46: n_f12___8->n_f10001___4, Arg_1: 2 {O(1)}
47: n_f12___8->n_f12___8, Arg_0: Arg_1 {O(n)}
47: n_f12___8->n_f12___8, Arg_1: 2 {O(1)}
48: n_f2___7->n_f10001___3, Arg_0: 2*Arg_0 {O(n)}
48: n_f2___7->n_f10001___3, Arg_1: 2 {O(1)}
49: n_f2___7->n_f1200___2, Arg_0: 2 {O(1)}
49: n_f2___7->n_f1200___2, Arg_1: 2 {O(1)}
50: n_f2___7->n_f2___7, Arg_0: Arg_0 {O(n)}
50: n_f2___7->n_f2___7, Arg_1: 2 {O(1)}