Initial Problem

Start: n_evalfstart
Program_Vars: Arg_0, Arg_1
Temp_Vars:
Locations: n_evalfbb1in___7, n_evalfbb2in___12, n_evalfbb2in___6, n_evalfbb3in___11, n_evalfbb3in___16, n_evalfbb3in___5, n_evalfbb4in___10, n_evalfbb4in___15, n_evalfbbin___14, n_evalfbbin___9, n_evalfentryin___17, n_evalfreturnin___13, n_evalfreturnin___4, n_evalfreturnin___8, n_evalfstart, n_evalfstop___1, n_evalfstop___2, n_evalfstop___3
Transitions:
0:n_evalfbb1in___7(Arg_0,Arg_1) -> n_evalfbb3in___11(Arg_0+1,Arg_1):|:1+Arg_0<=Arg_1 && 1<=Arg_0
1:n_evalfbb2in___12(Arg_0,Arg_1) -> n_evalfbb3in___11(Arg_0-Arg_1,Arg_1):|:1+Arg_1<=Arg_0 && 1<=Arg_1
2:n_evalfbb2in___6(Arg_0,Arg_1) -> n_evalfbb3in___5(Arg_0-Arg_1,Arg_1):|:Arg_1<=Arg_0 && 1<=Arg_0
3:n_evalfbb3in___11(Arg_0,Arg_1) -> n_evalfbb4in___10(Arg_0,Arg_1):|:1<=Arg_0 && 1<=Arg_0 && 1<=Arg_0
4:n_evalfbb3in___16(Arg_0,Arg_1) -> n_evalfbb4in___15(Arg_0,Arg_1):|:1<=Arg_0 && Arg_1<=Arg_0 && 1<=Arg_1 && 1+Arg_1<=Arg_0 && 1<=Arg_0 && 1<=Arg_0
5:n_evalfbb3in___5(Arg_0,Arg_1) -> n_evalfbb4in___10(Arg_0,Arg_1):|:1<=Arg_0
6:n_evalfbb3in___5(Arg_0,Arg_1) -> n_evalfreturnin___4(Arg_0,Arg_1):|:Arg_0<=0
7:n_evalfbb4in___10(Arg_0,Arg_1) -> n_evalfbbin___9(Arg_0,Arg_1):|:1<=Arg_0
8:n_evalfbb4in___10(Arg_0,Arg_1) -> n_evalfbbin___9(Arg_0,Arg_1):|:1<=Arg_0
9:n_evalfbb4in___10(Arg_0,Arg_1) -> n_evalfreturnin___8(Arg_0,Arg_1):|:1<=Arg_0
10:n_evalfbb4in___15(Arg_0,Arg_1) -> n_evalfbbin___14(Arg_0,Arg_1):|:1+Arg_1<=Arg_0 && 1<=Arg_1
11:n_evalfbb4in___15(Arg_0,Arg_1) -> n_evalfbbin___14(Arg_0,Arg_1):|:1+Arg_1<=Arg_0 && 1<=Arg_1
12:n_evalfbb4in___15(Arg_0,Arg_1) -> n_evalfreturnin___13(Arg_0,Arg_1):|:1+Arg_1<=Arg_0 && 1<=Arg_1
13:n_evalfbbin___14(Arg_0,Arg_1) -> n_evalfbb2in___12(Arg_0,Arg_1):|:1+Arg_1<=Arg_0 && 1<=Arg_1 && Arg_1<=Arg_0
14:n_evalfbbin___9(Arg_0,Arg_1) -> n_evalfbb1in___7(Arg_0,Arg_1):|:1<=Arg_0 && 1+Arg_0<=Arg_1
15:n_evalfbbin___9(Arg_0,Arg_1) -> n_evalfbb2in___6(Arg_0,Arg_1):|:1<=Arg_0 && Arg_1<=Arg_0
16:n_evalfentryin___17(Arg_0,Arg_1) -> n_evalfbb3in___16(Arg_1,Arg_0):|:1<=Arg_0 && 1+Arg_0<=Arg_1
17:n_evalfreturnin___13(Arg_0,Arg_1) -> n_evalfstop___1(Arg_0,Arg_1):|:1+Arg_1<=Arg_0 && 1<=Arg_1
18:n_evalfreturnin___4(Arg_0,Arg_1) -> n_evalfstop___3(Arg_0,Arg_1):|:Arg_0<=0
19:n_evalfreturnin___8(Arg_0,Arg_1) -> n_evalfstop___2(Arg_0,Arg_1):|:1<=Arg_0
20:n_evalfstart(Arg_0,Arg_1) -> n_evalfentryin___17(Arg_0,Arg_1)

Preprocessing

Found invariant Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location n_evalfbb2in___6

Found invariant 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location n_evalfbbin___9

Found invariant 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 for location n_evalfreturnin___4

Found invariant 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location n_evalfstop___2

Found invariant 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 for location n_evalfbb1in___7

Found invariant 1<=Arg_1 && 1<=Arg_0+Arg_1 for location n_evalfbb3in___5

Found invariant 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 for location n_evalfbb4in___15

Found invariant 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location n_evalfreturnin___8

Found invariant 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location n_evalfbb4in___10

Found invariant 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 for location n_evalfreturnin___13

Found invariant 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 for location n_evalfstop___1

Found invariant 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 for location n_evalfstop___3

Found invariant 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 for location n_evalfbb3in___16

Found invariant 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 for location n_evalfbbin___14

Found invariant 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 for location n_evalfbb2in___12

Found invariant 1<=Arg_1 && 2<=Arg_0+Arg_1 for location n_evalfbb3in___11

Problem after Preprocessing

Start: n_evalfstart
Program_Vars: Arg_0, Arg_1
Temp_Vars:
Locations: n_evalfbb1in___7, n_evalfbb2in___12, n_evalfbb2in___6, n_evalfbb3in___11, n_evalfbb3in___16, n_evalfbb3in___5, n_evalfbb4in___10, n_evalfbb4in___15, n_evalfbbin___14, n_evalfbbin___9, n_evalfentryin___17, n_evalfreturnin___13, n_evalfreturnin___4, n_evalfreturnin___8, n_evalfstart, n_evalfstop___1, n_evalfstop___2, n_evalfstop___3
Transitions:
0:n_evalfbb1in___7(Arg_0,Arg_1) -> n_evalfbb3in___11(Arg_0+1,Arg_1):|:2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 && 1+Arg_0<=Arg_1 && 1<=Arg_0
1:n_evalfbb2in___12(Arg_0,Arg_1) -> n_evalfbb3in___11(Arg_0-Arg_1,Arg_1):|:1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && 1+Arg_1<=Arg_0 && 1<=Arg_1
2:n_evalfbb2in___6(Arg_0,Arg_1) -> n_evalfbb3in___5(Arg_0-Arg_1,Arg_1):|:Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_1<=Arg_0 && 1<=Arg_0
3:n_evalfbb3in___11(Arg_0,Arg_1) -> n_evalfbb4in___10(Arg_0,Arg_1):|:1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && 1<=Arg_0 && 1<=Arg_0
4:n_evalfbb3in___16(Arg_0,Arg_1) -> n_evalfbb4in___15(Arg_0,Arg_1):|:1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && 1<=Arg_0 && Arg_1<=Arg_0 && 1<=Arg_1 && 1+Arg_1<=Arg_0 && 1<=Arg_0 && 1<=Arg_0
5:n_evalfbb3in___5(Arg_0,Arg_1) -> n_evalfbb4in___10(Arg_0,Arg_1):|:1<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0
6:n_evalfbb3in___5(Arg_0,Arg_1) -> n_evalfreturnin___4(Arg_0,Arg_1):|:1<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=0
7:n_evalfbb4in___10(Arg_0,Arg_1) -> n_evalfbbin___9(Arg_0,Arg_1):|:1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && 1<=Arg_0
8:n_evalfbb4in___10(Arg_0,Arg_1) -> n_evalfbbin___9(Arg_0,Arg_1):|:1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && 1<=Arg_0
9:n_evalfbb4in___10(Arg_0,Arg_1) -> n_evalfreturnin___8(Arg_0,Arg_1):|:1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && 1<=Arg_0
10:n_evalfbb4in___15(Arg_0,Arg_1) -> n_evalfbbin___14(Arg_0,Arg_1):|:1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && 1+Arg_1<=Arg_0 && 1<=Arg_1
11:n_evalfbb4in___15(Arg_0,Arg_1) -> n_evalfbbin___14(Arg_0,Arg_1):|:1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && 1+Arg_1<=Arg_0 && 1<=Arg_1
12:n_evalfbb4in___15(Arg_0,Arg_1) -> n_evalfreturnin___13(Arg_0,Arg_1):|:1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && 1+Arg_1<=Arg_0 && 1<=Arg_1
13:n_evalfbbin___14(Arg_0,Arg_1) -> n_evalfbb2in___12(Arg_0,Arg_1):|:1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && Arg_1<=Arg_0
14:n_evalfbbin___9(Arg_0,Arg_1) -> n_evalfbb1in___7(Arg_0,Arg_1):|:1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && 1<=Arg_0 && 1+Arg_0<=Arg_1
15:n_evalfbbin___9(Arg_0,Arg_1) -> n_evalfbb2in___6(Arg_0,Arg_1):|:1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && 1<=Arg_0 && Arg_1<=Arg_0
16:n_evalfentryin___17(Arg_0,Arg_1) -> n_evalfbb3in___16(Arg_1,Arg_0):|:1<=Arg_0 && 1+Arg_0<=Arg_1
17:n_evalfreturnin___13(Arg_0,Arg_1) -> n_evalfstop___1(Arg_0,Arg_1):|:1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && 1+Arg_1<=Arg_0 && 1<=Arg_1
18:n_evalfreturnin___4(Arg_0,Arg_1) -> n_evalfstop___3(Arg_0,Arg_1):|:1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 && Arg_0<=0
19:n_evalfreturnin___8(Arg_0,Arg_1) -> n_evalfstop___2(Arg_0,Arg_1):|:1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && 1<=Arg_0
20:n_evalfstart(Arg_0,Arg_1) -> n_evalfentryin___17(Arg_0,Arg_1)

All Bounds

Timebounds

Overall timebound:inf {Infinity}
0: n_evalfbb1in___7->n_evalfbb3in___11: inf {Infinity}
1: n_evalfbb2in___12->n_evalfbb3in___11: 1 {O(1)}
2: n_evalfbb2in___6->n_evalfbb3in___5: inf {Infinity}
3: n_evalfbb3in___11->n_evalfbb4in___10: inf {Infinity}
4: n_evalfbb3in___16->n_evalfbb4in___15: 1 {O(1)}
5: n_evalfbb3in___5->n_evalfbb4in___10: inf {Infinity}
6: n_evalfbb3in___5->n_evalfreturnin___4: 1 {O(1)}
7: n_evalfbb4in___10->n_evalfbbin___9: inf {Infinity}
8: n_evalfbb4in___10->n_evalfbbin___9: inf {Infinity}
9: n_evalfbb4in___10->n_evalfreturnin___8: 1 {O(1)}
10: n_evalfbb4in___15->n_evalfbbin___14: 1 {O(1)}
11: n_evalfbb4in___15->n_evalfbbin___14: 1 {O(1)}
12: n_evalfbb4in___15->n_evalfreturnin___13: 1 {O(1)}
13: n_evalfbbin___14->n_evalfbb2in___12: 1 {O(1)}
14: n_evalfbbin___9->n_evalfbb1in___7: inf {Infinity}
15: n_evalfbbin___9->n_evalfbb2in___6: inf {Infinity}
16: n_evalfentryin___17->n_evalfbb3in___16: 1 {O(1)}
17: n_evalfreturnin___13->n_evalfstop___1: 1 {O(1)}
18: n_evalfreturnin___4->n_evalfstop___3: 1 {O(1)}
19: n_evalfreturnin___8->n_evalfstop___2: 1 {O(1)}
20: n_evalfstart->n_evalfentryin___17: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
0: n_evalfbb1in___7->n_evalfbb3in___11: inf {Infinity}
1: n_evalfbb2in___12->n_evalfbb3in___11: 1 {O(1)}
2: n_evalfbb2in___6->n_evalfbb3in___5: inf {Infinity}
3: n_evalfbb3in___11->n_evalfbb4in___10: inf {Infinity}
4: n_evalfbb3in___16->n_evalfbb4in___15: 1 {O(1)}
5: n_evalfbb3in___5->n_evalfbb4in___10: inf {Infinity}
6: n_evalfbb3in___5->n_evalfreturnin___4: 1 {O(1)}
7: n_evalfbb4in___10->n_evalfbbin___9: inf {Infinity}
8: n_evalfbb4in___10->n_evalfbbin___9: inf {Infinity}
9: n_evalfbb4in___10->n_evalfreturnin___8: 1 {O(1)}
10: n_evalfbb4in___15->n_evalfbbin___14: 1 {O(1)}
11: n_evalfbb4in___15->n_evalfbbin___14: 1 {O(1)}
12: n_evalfbb4in___15->n_evalfreturnin___13: 1 {O(1)}
13: n_evalfbbin___14->n_evalfbb2in___12: 1 {O(1)}
14: n_evalfbbin___9->n_evalfbb1in___7: inf {Infinity}
15: n_evalfbbin___9->n_evalfbb2in___6: inf {Infinity}
16: n_evalfentryin___17->n_evalfbb3in___16: 1 {O(1)}
17: n_evalfreturnin___13->n_evalfstop___1: 1 {O(1)}
18: n_evalfreturnin___4->n_evalfstop___3: 1 {O(1)}
19: n_evalfreturnin___8->n_evalfstop___2: 1 {O(1)}
20: n_evalfstart->n_evalfentryin___17: 1 {O(1)}

Sizebounds

0: n_evalfbb1in___7->n_evalfbb3in___11, Arg_1: 2*Arg_0 {O(n)}
1: n_evalfbb2in___12->n_evalfbb3in___11, Arg_0: 2*Arg_1 {O(n)}
1: n_evalfbb2in___12->n_evalfbb3in___11, Arg_1: 2*Arg_0 {O(n)}
2: n_evalfbb2in___6->n_evalfbb3in___5, Arg_1: 2*Arg_0 {O(n)}
3: n_evalfbb3in___11->n_evalfbb4in___10, Arg_1: 2*Arg_0 {O(n)}
4: n_evalfbb3in___16->n_evalfbb4in___15, Arg_0: Arg_1 {O(n)}
4: n_evalfbb3in___16->n_evalfbb4in___15, Arg_1: Arg_0 {O(n)}
5: n_evalfbb3in___5->n_evalfbb4in___10, Arg_1: 2*Arg_0 {O(n)}
6: n_evalfbb3in___5->n_evalfreturnin___4, Arg_1: 2*Arg_0 {O(n)}
7: n_evalfbb4in___10->n_evalfbbin___9, Arg_1: 2*Arg_0 {O(n)}
8: n_evalfbb4in___10->n_evalfbbin___9, Arg_1: 2*Arg_0 {O(n)}
9: n_evalfbb4in___10->n_evalfreturnin___8, Arg_1: 4*Arg_0 {O(n)}
10: n_evalfbb4in___15->n_evalfbbin___14, Arg_0: Arg_1 {O(n)}
10: n_evalfbb4in___15->n_evalfbbin___14, Arg_1: Arg_0 {O(n)}
11: n_evalfbb4in___15->n_evalfbbin___14, Arg_0: Arg_1 {O(n)}
11: n_evalfbb4in___15->n_evalfbbin___14, Arg_1: Arg_0 {O(n)}
12: n_evalfbb4in___15->n_evalfreturnin___13, Arg_0: Arg_1 {O(n)}
12: n_evalfbb4in___15->n_evalfreturnin___13, Arg_1: Arg_0 {O(n)}
13: n_evalfbbin___14->n_evalfbb2in___12, Arg_0: 2*Arg_1 {O(n)}
13: n_evalfbbin___14->n_evalfbb2in___12, Arg_1: 2*Arg_0 {O(n)}
14: n_evalfbbin___9->n_evalfbb1in___7, Arg_1: 2*Arg_0 {O(n)}
15: n_evalfbbin___9->n_evalfbb2in___6, Arg_1: 2*Arg_0 {O(n)}
16: n_evalfentryin___17->n_evalfbb3in___16, Arg_0: Arg_1 {O(n)}
16: n_evalfentryin___17->n_evalfbb3in___16, Arg_1: Arg_0 {O(n)}
17: n_evalfreturnin___13->n_evalfstop___1, Arg_0: Arg_1 {O(n)}
17: n_evalfreturnin___13->n_evalfstop___1, Arg_1: Arg_0 {O(n)}
18: n_evalfreturnin___4->n_evalfstop___3, Arg_1: 2*Arg_0 {O(n)}
19: n_evalfreturnin___8->n_evalfstop___2, Arg_1: 4*Arg_0 {O(n)}
20: n_evalfstart->n_evalfentryin___17, Arg_0: Arg_0 {O(n)}
20: n_evalfstart->n_evalfentryin___17, Arg_1: Arg_1 {O(n)}