Initial Problem

Start: n_eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars:
Locations: n_eval_foo_bb0_in___13, n_eval_foo_bb1_in___12, n_eval_foo_bb1_in___7, n_eval_foo_bb2_in___11, n_eval_foo_bb2_in___3, n_eval_foo_bb2_in___6, n_eval_foo_bb2_in___9, n_eval_foo_bb3_in___10, n_eval_foo_bb3_in___2, n_eval_foo_bb3_in___4, n_eval_foo_bb4_in___8, n_eval_foo_bb5_in___5, n_eval_foo_start, n_eval_foo_stop___1
Transitions:
0:n_eval_foo_bb0_in___13(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb1_in___12(0,Arg_1,Arg_2,Arg_3)
1:n_eval_foo_bb1_in___12(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb2_in___11(Arg_0,0,Arg_2,Arg_3):|:Arg_0<100 && Arg_0<=0 && 0<=Arg_0 && Arg_0<=99 && Arg_0<100
2:n_eval_foo_bb1_in___7(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb2_in___6(Arg_0,0,Arg_2,Arg_3):|:Arg_0<100
3:n_eval_foo_bb1_in___7(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb5_in___5(Arg_0,Arg_1,Arg_2,Arg_3):|:100<=Arg_0
4:n_eval_foo_bb2_in___11(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb3_in___10(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<1 && Arg_1<=0 && 0<=Arg_1 && Arg_0<=99 && Arg_1<=0 && Arg_1<1
5:n_eval_foo_bb2_in___3(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb3_in___2(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<1
6:n_eval_foo_bb2_in___3(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb4_in___8(Arg_0,Arg_1,Arg_2,Arg_3):|:1<=Arg_1
7:n_eval_foo_bb2_in___6(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb3_in___4(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<1 && Arg_1<=0 && Arg_1<1
8:n_eval_foo_bb2_in___9(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb4_in___8(Arg_0,Arg_1,Arg_2,Arg_3):|:1<=Arg_1 && 1<=Arg_1 && 1<=Arg_1
9:n_eval_foo_bb3_in___10(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb2_in___9(Arg_0,Arg_1+1,Arg_2,Arg_3):|:Arg_0<=99 && Arg_1<=0 && 0<=Arg_1
10:n_eval_foo_bb3_in___2(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb2_in___3(Arg_0,Arg_1+1,Arg_2,Arg_3):|:Arg_1<1
11:n_eval_foo_bb3_in___4(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb2_in___3(Arg_0,Arg_1+1,Arg_2,Arg_3):|:Arg_1<=0
12:n_eval_foo_bb4_in___8(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb1_in___7(Arg_0,Arg_1,Arg_2,Arg_3):|:1<=Arg_1
13:n_eval_foo_bb5_in___5(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_stop___1(Arg_0,Arg_1,Arg_2,Arg_3):|:100<=Arg_0
14:n_eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb0_in___13(Arg_0,Arg_1,Arg_2,Arg_3)

Preprocessing

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

Found invariant 1<=0 for location n_eval_foo_bb5_in___5

Found invariant 1<=0 for location n_eval_foo_bb3_in___2

Found invariant Arg_1<=1 && Arg_1<=1+Arg_0 && Arg_0+Arg_1<=1 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 for location n_eval_foo_bb1_in___7

Found invariant Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 for location n_eval_foo_bb2_in___11

Found invariant Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 for location n_eval_foo_bb3_in___10

Found invariant 1<=0 for location n_eval_foo_stop___1

Found invariant Arg_1<=1 && Arg_1<=1+Arg_0 && Arg_0+Arg_1<=1 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 for location n_eval_foo_bb2_in___3

Found invariant Arg_0<=0 && 0<=Arg_0 for location n_eval_foo_bb1_in___12

Found invariant Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 for location n_eval_foo_bb2_in___6

Found invariant Arg_1<=1 && Arg_1<=1+Arg_0 && Arg_0+Arg_1<=1 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 for location n_eval_foo_bb2_in___9

Found invariant Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 for location n_eval_foo_bb3_in___4

Found invariant Arg_1<=1 && Arg_1<=1+Arg_0 && Arg_0+Arg_1<=1 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 for location n_eval_foo_bb4_in___8

Cut unsatisfiable transition 33: n_eval_foo_bb1_in___7->n_eval_foo_bb5_in___5

Cut unsatisfiable transition 35: n_eval_foo_bb2_in___3->n_eval_foo_bb3_in___2

Cut unsatisfiable transition 40: n_eval_foo_bb3_in___2->n_eval_foo_bb2_in___3

Cut unsatisfiable transition 43: n_eval_foo_bb5_in___5->n_eval_foo_stop___1

Cut unreachable locations [n_eval_foo_bb3_in___2; n_eval_foo_bb5_in___5; n_eval_foo_stop___1] from the program graph

Problem after Preprocessing

Start: n_eval_foo_start
Program_Vars: Arg_0, Arg_1
Temp_Vars:
Locations: n_eval_foo_bb0_in___13, n_eval_foo_bb1_in___12, n_eval_foo_bb1_in___7, n_eval_foo_bb2_in___11, n_eval_foo_bb2_in___3, n_eval_foo_bb2_in___6, n_eval_foo_bb2_in___9, n_eval_foo_bb3_in___10, n_eval_foo_bb3_in___4, n_eval_foo_bb4_in___8, n_eval_foo_start
Transitions:
30:n_eval_foo_bb0_in___13(Arg_0,Arg_1) -> n_eval_foo_bb1_in___12(0,Arg_1)
31:n_eval_foo_bb1_in___12(Arg_0,Arg_1) -> n_eval_foo_bb2_in___11(Arg_0,0):|:Arg_0<=0 && 0<=Arg_0 && Arg_0<100 && Arg_0<=0 && 0<=Arg_0 && Arg_0<=99 && Arg_0<100
32:n_eval_foo_bb1_in___7(Arg_0,Arg_1) -> n_eval_foo_bb2_in___6(Arg_0,0):|:Arg_1<=1 && Arg_1<=1+Arg_0 && Arg_0+Arg_1<=1 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && Arg_0<100
34:n_eval_foo_bb2_in___11(Arg_0,Arg_1) -> n_eval_foo_bb3_in___10(Arg_0,Arg_1):|:Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && Arg_1<1 && Arg_1<=0 && 0<=Arg_1 && Arg_0<=99 && Arg_1<=0 && Arg_1<1
36:n_eval_foo_bb2_in___3(Arg_0,Arg_1) -> n_eval_foo_bb4_in___8(Arg_0,Arg_1):|:Arg_1<=1 && Arg_1<=1+Arg_0 && Arg_0+Arg_1<=1 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && 1<=Arg_1
37:n_eval_foo_bb2_in___6(Arg_0,Arg_1) -> n_eval_foo_bb3_in___4(Arg_0,Arg_1):|:Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && Arg_1<1 && Arg_1<=0 && Arg_1<1
38:n_eval_foo_bb2_in___9(Arg_0,Arg_1) -> n_eval_foo_bb4_in___8(Arg_0,Arg_1):|:Arg_1<=1 && Arg_1<=1+Arg_0 && Arg_0+Arg_1<=1 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && 1<=Arg_1 && 1<=Arg_1 && 1<=Arg_1
39:n_eval_foo_bb3_in___10(Arg_0,Arg_1) -> n_eval_foo_bb2_in___9(Arg_0,Arg_1+1):|:Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && Arg_0<=99 && Arg_1<=0 && 0<=Arg_1
41:n_eval_foo_bb3_in___4(Arg_0,Arg_1) -> n_eval_foo_bb2_in___3(Arg_0,Arg_1+1):|:Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && Arg_1<=0
42:n_eval_foo_bb4_in___8(Arg_0,Arg_1) -> n_eval_foo_bb1_in___7(Arg_0,Arg_1):|:Arg_1<=1 && Arg_1<=1+Arg_0 && Arg_0+Arg_1<=1 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && 1<=Arg_1
44:n_eval_foo_start(Arg_0,Arg_1) -> n_eval_foo_bb0_in___13(Arg_0,Arg_1)

All Bounds

Timebounds

Overall timebound:inf {Infinity}
30: n_eval_foo_bb0_in___13->n_eval_foo_bb1_in___12: 1 {O(1)}
31: n_eval_foo_bb1_in___12->n_eval_foo_bb2_in___11: 1 {O(1)}
32: n_eval_foo_bb1_in___7->n_eval_foo_bb2_in___6: inf {Infinity}
34: n_eval_foo_bb2_in___11->n_eval_foo_bb3_in___10: 1 {O(1)}
36: n_eval_foo_bb2_in___3->n_eval_foo_bb4_in___8: inf {Infinity}
37: n_eval_foo_bb2_in___6->n_eval_foo_bb3_in___4: inf {Infinity}
38: n_eval_foo_bb2_in___9->n_eval_foo_bb4_in___8: 1 {O(1)}
39: n_eval_foo_bb3_in___10->n_eval_foo_bb2_in___9: 1 {O(1)}
41: n_eval_foo_bb3_in___4->n_eval_foo_bb2_in___3: inf {Infinity}
42: n_eval_foo_bb4_in___8->n_eval_foo_bb1_in___7: inf {Infinity}
44: n_eval_foo_start->n_eval_foo_bb0_in___13: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
30: n_eval_foo_bb0_in___13->n_eval_foo_bb1_in___12: 1 {O(1)}
31: n_eval_foo_bb1_in___12->n_eval_foo_bb2_in___11: 1 {O(1)}
32: n_eval_foo_bb1_in___7->n_eval_foo_bb2_in___6: inf {Infinity}
34: n_eval_foo_bb2_in___11->n_eval_foo_bb3_in___10: 1 {O(1)}
36: n_eval_foo_bb2_in___3->n_eval_foo_bb4_in___8: inf {Infinity}
37: n_eval_foo_bb2_in___6->n_eval_foo_bb3_in___4: inf {Infinity}
38: n_eval_foo_bb2_in___9->n_eval_foo_bb4_in___8: 1 {O(1)}
39: n_eval_foo_bb3_in___10->n_eval_foo_bb2_in___9: 1 {O(1)}
41: n_eval_foo_bb3_in___4->n_eval_foo_bb2_in___3: inf {Infinity}
42: n_eval_foo_bb4_in___8->n_eval_foo_bb1_in___7: inf {Infinity}
44: n_eval_foo_start->n_eval_foo_bb0_in___13: 1 {O(1)}

Sizebounds

30: n_eval_foo_bb0_in___13->n_eval_foo_bb1_in___12, Arg_0: 0 {O(1)}
30: n_eval_foo_bb0_in___13->n_eval_foo_bb1_in___12, Arg_1: Arg_1 {O(n)}
31: n_eval_foo_bb1_in___12->n_eval_foo_bb2_in___11, Arg_0: 0 {O(1)}
31: n_eval_foo_bb1_in___12->n_eval_foo_bb2_in___11, Arg_1: 0 {O(1)}
32: n_eval_foo_bb1_in___7->n_eval_foo_bb2_in___6, Arg_0: 0 {O(1)}
32: n_eval_foo_bb1_in___7->n_eval_foo_bb2_in___6, Arg_1: 0 {O(1)}
34: n_eval_foo_bb2_in___11->n_eval_foo_bb3_in___10, Arg_0: 0 {O(1)}
34: n_eval_foo_bb2_in___11->n_eval_foo_bb3_in___10, Arg_1: 0 {O(1)}
36: n_eval_foo_bb2_in___3->n_eval_foo_bb4_in___8, Arg_0: 0 {O(1)}
36: n_eval_foo_bb2_in___3->n_eval_foo_bb4_in___8, Arg_1: 1 {O(1)}
37: n_eval_foo_bb2_in___6->n_eval_foo_bb3_in___4, Arg_0: 0 {O(1)}
37: n_eval_foo_bb2_in___6->n_eval_foo_bb3_in___4, Arg_1: 0 {O(1)}
38: n_eval_foo_bb2_in___9->n_eval_foo_bb4_in___8, Arg_0: 0 {O(1)}
38: n_eval_foo_bb2_in___9->n_eval_foo_bb4_in___8, Arg_1: 1 {O(1)}
39: n_eval_foo_bb3_in___10->n_eval_foo_bb2_in___9, Arg_0: 0 {O(1)}
39: n_eval_foo_bb3_in___10->n_eval_foo_bb2_in___9, Arg_1: 1 {O(1)}
41: n_eval_foo_bb3_in___4->n_eval_foo_bb2_in___3, Arg_0: 0 {O(1)}
41: n_eval_foo_bb3_in___4->n_eval_foo_bb2_in___3, Arg_1: 1 {O(1)}
42: n_eval_foo_bb4_in___8->n_eval_foo_bb1_in___7, Arg_0: 0 {O(1)}
42: n_eval_foo_bb4_in___8->n_eval_foo_bb1_in___7, Arg_1: 1 {O(1)}
44: n_eval_foo_start->n_eval_foo_bb0_in___13, Arg_0: Arg_0 {O(n)}
44: n_eval_foo_start->n_eval_foo_bb0_in___13, Arg_1: Arg_1 {O(n)}