Initial Problem
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___3, n_eval_foo_bb1_in___6, n_eval_foo_bb1_in___9, n_eval_foo_bb2_in___11, n_eval_foo_bb2_in___2, n_eval_foo_bb2_in___5, n_eval_foo_bb2_in___8, n_eval_foo_bb3_in___1, n_eval_foo_bb3_in___4, n_eval_foo_bb4_in___10, n_eval_foo_bb4_in___7, n_eval_foo_start
Transitions:
0:n_eval_foo_bb0_in___13(Arg_0,Arg_1) -> n_eval_foo_bb1_in___12(3,Arg_1)
1:n_eval_foo_bb1_in___12(Arg_0,Arg_1) -> n_eval_foo_bb2_in___11(Arg_0,Arg_1):|:3<=Arg_0 && Arg_0<=5 && Arg_0<=3 && 3<=Arg_0 && 3<=Arg_0 && Arg_0<=11 && 3<=Arg_0
2:n_eval_foo_bb1_in___3(Arg_0,Arg_1) -> n_eval_foo_bb2_in___2(Arg_0,Arg_1):|:5<Arg_0 && 3<=Arg_0 && 3<=Arg_0 && 3<=Arg_0
3:n_eval_foo_bb1_in___6(Arg_0,Arg_1) -> n_eval_foo_bb2_in___5(Arg_0,Arg_1):|:3<=Arg_0 && 3<=Arg_0 && Arg_0<=11 && 3<=Arg_0
4:n_eval_foo_bb1_in___9(Arg_0,Arg_1) -> n_eval_foo_bb2_in___8(Arg_0,Arg_1):|:3<=Arg_0 && Arg_0<=5 && 3<=Arg_0 && Arg_0<=11 && 3<=Arg_0
5:n_eval_foo_bb2_in___11(Arg_0,Arg_1) -> n_eval_foo_bb4_in___10(Arg_0,Arg_1):|:Arg_0<=3 && 3<=Arg_0 && Arg_0<=5
6:n_eval_foo_bb2_in___2(Arg_0,Arg_1) -> n_eval_foo_bb3_in___1(Arg_0,Arg_1):|:5<Arg_0 && 5<Arg_0
7:n_eval_foo_bb2_in___5(Arg_0,Arg_1) -> n_eval_foo_bb3_in___4(Arg_0,Arg_1):|:Arg_0<=11 && 3<=Arg_0 && 5<Arg_0
8:n_eval_foo_bb2_in___5(Arg_0,Arg_1) -> n_eval_foo_bb4_in___7(Arg_0,Arg_1):|:Arg_0<=11 && 3<=Arg_0 && Arg_0<=5
9:n_eval_foo_bb2_in___8(Arg_0,Arg_1) -> n_eval_foo_bb4_in___7(Arg_0,Arg_1):|:Arg_0<=5 && 3<=Arg_0 && Arg_0<=5
10:n_eval_foo_bb3_in___1(Arg_0,Arg_1) -> n_eval_foo_bb1_in___3(Arg_0+3,Arg_1):|:5<Arg_0
11:n_eval_foo_bb3_in___4(Arg_0,Arg_1) -> n_eval_foo_bb1_in___3(Arg_0+3,Arg_1):|:Arg_0<=11 && 5<Arg_0
12:n_eval_foo_bb4_in___10(Arg_0,Arg_1) -> n_eval_foo_bb1_in___9(Arg_0+1,Arg_1):|:Arg_0<=3 && 3<=Arg_0 && Arg_0<=10
13:n_eval_foo_bb4_in___7(Arg_0,Arg_1) -> n_eval_foo_bb1_in___6(Arg_0+1,Arg_1):|:Arg_0<=5 && 3<=Arg_0 && Arg_0<=10
14:n_eval_foo_start(Arg_0,Arg_1) -> n_eval_foo_bb0_in___13(Arg_0,Arg_1)
Preprocessing
Eliminate variables {Arg_1} that do not contribute to the problem
Found invariant Arg_0<=5 && 4<=Arg_0 for location n_eval_foo_bb4_in___7
Found invariant Arg_0<=4 && 4<=Arg_0 for location n_eval_foo_bb1_in___9
Found invariant 9<=Arg_0 for location n_eval_foo_bb2_in___2
Found invariant 9<=Arg_0 for location n_eval_foo_bb3_in___1
Found invariant 9<=Arg_0 for location n_eval_foo_bb1_in___3
Found invariant Arg_0<=4 && 4<=Arg_0 for location n_eval_foo_bb2_in___8
Found invariant Arg_0<=3 && 3<=Arg_0 for location n_eval_foo_bb4_in___10
Found invariant Arg_0<=3 && 3<=Arg_0 for location n_eval_foo_bb2_in___11
Found invariant Arg_0<=6 && 5<=Arg_0 for location n_eval_foo_bb2_in___5
Found invariant Arg_0<=3 && 3<=Arg_0 for location n_eval_foo_bb1_in___12
Found invariant Arg_0<=6 && 5<=Arg_0 for location n_eval_foo_bb1_in___6
Found invariant Arg_0<=6 && 6<=Arg_0 for location n_eval_foo_bb3_in___4
Problem after Preprocessing
Start: n_eval_foo_start
Program_Vars: Arg_0
Temp_Vars:
Locations: n_eval_foo_bb0_in___13, n_eval_foo_bb1_in___12, n_eval_foo_bb1_in___3, n_eval_foo_bb1_in___6, n_eval_foo_bb1_in___9, n_eval_foo_bb2_in___11, n_eval_foo_bb2_in___2, n_eval_foo_bb2_in___5, n_eval_foo_bb2_in___8, n_eval_foo_bb3_in___1, n_eval_foo_bb3_in___4, n_eval_foo_bb4_in___10, n_eval_foo_bb4_in___7, n_eval_foo_start
Transitions:
30:n_eval_foo_bb0_in___13(Arg_0) -> n_eval_foo_bb1_in___12(3)
31:n_eval_foo_bb1_in___12(Arg_0) -> n_eval_foo_bb2_in___11(Arg_0):|:Arg_0<=3 && 3<=Arg_0 && 3<=Arg_0 && Arg_0<=5 && Arg_0<=3 && 3<=Arg_0 && 3<=Arg_0 && Arg_0<=11 && 3<=Arg_0
32:n_eval_foo_bb1_in___3(Arg_0) -> n_eval_foo_bb2_in___2(Arg_0):|:9<=Arg_0 && 5<Arg_0 && 3<=Arg_0 && 3<=Arg_0 && 3<=Arg_0
33:n_eval_foo_bb1_in___6(Arg_0) -> n_eval_foo_bb2_in___5(Arg_0):|:Arg_0<=6 && 5<=Arg_0 && 3<=Arg_0 && 3<=Arg_0 && Arg_0<=11 && 3<=Arg_0
34:n_eval_foo_bb1_in___9(Arg_0) -> n_eval_foo_bb2_in___8(Arg_0):|:Arg_0<=4 && 4<=Arg_0 && 3<=Arg_0 && Arg_0<=5 && 3<=Arg_0 && Arg_0<=11 && 3<=Arg_0
35:n_eval_foo_bb2_in___11(Arg_0) -> n_eval_foo_bb4_in___10(Arg_0):|:Arg_0<=3 && 3<=Arg_0 && Arg_0<=3 && 3<=Arg_0 && Arg_0<=5
36:n_eval_foo_bb2_in___2(Arg_0) -> n_eval_foo_bb3_in___1(Arg_0):|:9<=Arg_0 && 5<Arg_0 && 5<Arg_0
37:n_eval_foo_bb2_in___5(Arg_0) -> n_eval_foo_bb3_in___4(Arg_0):|:Arg_0<=6 && 5<=Arg_0 && Arg_0<=11 && 3<=Arg_0 && 5<Arg_0
38:n_eval_foo_bb2_in___5(Arg_0) -> n_eval_foo_bb4_in___7(Arg_0):|:Arg_0<=6 && 5<=Arg_0 && Arg_0<=11 && 3<=Arg_0 && Arg_0<=5
39:n_eval_foo_bb2_in___8(Arg_0) -> n_eval_foo_bb4_in___7(Arg_0):|:Arg_0<=4 && 4<=Arg_0 && Arg_0<=5 && 3<=Arg_0 && Arg_0<=5
40:n_eval_foo_bb3_in___1(Arg_0) -> n_eval_foo_bb1_in___3(Arg_0+3):|:9<=Arg_0 && 5<Arg_0
41:n_eval_foo_bb3_in___4(Arg_0) -> n_eval_foo_bb1_in___3(Arg_0+3):|:Arg_0<=6 && 6<=Arg_0 && Arg_0<=11 && 5<Arg_0
42:n_eval_foo_bb4_in___10(Arg_0) -> n_eval_foo_bb1_in___9(Arg_0+1):|:Arg_0<=3 && 3<=Arg_0 && Arg_0<=3 && 3<=Arg_0 && Arg_0<=10
43:n_eval_foo_bb4_in___7(Arg_0) -> n_eval_foo_bb1_in___6(Arg_0+1):|:Arg_0<=5 && 4<=Arg_0 && Arg_0<=5 && 3<=Arg_0 && Arg_0<=10
44:n_eval_foo_start(Arg_0) -> n_eval_foo_bb0_in___13(Arg_0)
MPRF for transition 33:n_eval_foo_bb1_in___6(Arg_0) -> n_eval_foo_bb2_in___5(Arg_0):|:Arg_0<=6 && 5<=Arg_0 && 3<=Arg_0 && 3<=Arg_0 && Arg_0<=11 && 3<=Arg_0 of depth 1:
new bound:
10 {O(1)}
MPRF:
n_eval_foo_bb2_in___5 [6-Arg_0 ]
n_eval_foo_bb4_in___7 [6-Arg_0 ]
n_eval_foo_bb1_in___6 [7-Arg_0 ]
MPRF for transition 38:n_eval_foo_bb2_in___5(Arg_0) -> n_eval_foo_bb4_in___7(Arg_0):|:Arg_0<=6 && 5<=Arg_0 && Arg_0<=11 && 3<=Arg_0 && Arg_0<=5 of depth 1:
new bound:
10 {O(1)}
MPRF:
n_eval_foo_bb2_in___5 [7-Arg_0 ]
n_eval_foo_bb4_in___7 [6-Arg_0 ]
n_eval_foo_bb1_in___6 [7-Arg_0 ]
MPRF for transition 43:n_eval_foo_bb4_in___7(Arg_0) -> n_eval_foo_bb1_in___6(Arg_0+1):|:Arg_0<=5 && 4<=Arg_0 && Arg_0<=5 && 3<=Arg_0 && Arg_0<=10 of depth 1:
new bound:
15 {O(1)}
MPRF:
n_eval_foo_bb2_in___5 [11-Arg_0 ]
n_eval_foo_bb4_in___7 [11-Arg_0 ]
n_eval_foo_bb1_in___6 [11-Arg_0 ]
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___3->n_eval_foo_bb2_in___2: inf {Infinity}
33: n_eval_foo_bb1_in___6->n_eval_foo_bb2_in___5: 10 {O(1)}
34: n_eval_foo_bb1_in___9->n_eval_foo_bb2_in___8: 1 {O(1)}
35: n_eval_foo_bb2_in___11->n_eval_foo_bb4_in___10: 1 {O(1)}
36: n_eval_foo_bb2_in___2->n_eval_foo_bb3_in___1: inf {Infinity}
37: n_eval_foo_bb2_in___5->n_eval_foo_bb3_in___4: 1 {O(1)}
38: n_eval_foo_bb2_in___5->n_eval_foo_bb4_in___7: 10 {O(1)}
39: n_eval_foo_bb2_in___8->n_eval_foo_bb4_in___7: 1 {O(1)}
40: n_eval_foo_bb3_in___1->n_eval_foo_bb1_in___3: inf {Infinity}
41: n_eval_foo_bb3_in___4->n_eval_foo_bb1_in___3: 1 {O(1)}
42: n_eval_foo_bb4_in___10->n_eval_foo_bb1_in___9: 1 {O(1)}
43: n_eval_foo_bb4_in___7->n_eval_foo_bb1_in___6: 15 {O(1)}
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___3->n_eval_foo_bb2_in___2: inf {Infinity}
33: n_eval_foo_bb1_in___6->n_eval_foo_bb2_in___5: 10 {O(1)}
34: n_eval_foo_bb1_in___9->n_eval_foo_bb2_in___8: 1 {O(1)}
35: n_eval_foo_bb2_in___11->n_eval_foo_bb4_in___10: 1 {O(1)}
36: n_eval_foo_bb2_in___2->n_eval_foo_bb3_in___1: inf {Infinity}
37: n_eval_foo_bb2_in___5->n_eval_foo_bb3_in___4: 1 {O(1)}
38: n_eval_foo_bb2_in___5->n_eval_foo_bb4_in___7: 10 {O(1)}
39: n_eval_foo_bb2_in___8->n_eval_foo_bb4_in___7: 1 {O(1)}
40: n_eval_foo_bb3_in___1->n_eval_foo_bb1_in___3: inf {Infinity}
41: n_eval_foo_bb3_in___4->n_eval_foo_bb1_in___3: 1 {O(1)}
42: n_eval_foo_bb4_in___10->n_eval_foo_bb1_in___9: 1 {O(1)}
43: n_eval_foo_bb4_in___7->n_eval_foo_bb1_in___6: 15 {O(1)}
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: 3 {O(1)}
31: n_eval_foo_bb1_in___12->n_eval_foo_bb2_in___11, Arg_0: 3 {O(1)}
33: n_eval_foo_bb1_in___6->n_eval_foo_bb2_in___5, Arg_0: 6 {O(1)}
34: n_eval_foo_bb1_in___9->n_eval_foo_bb2_in___8, Arg_0: 4 {O(1)}
35: n_eval_foo_bb2_in___11->n_eval_foo_bb4_in___10, Arg_0: 3 {O(1)}
37: n_eval_foo_bb2_in___5->n_eval_foo_bb3_in___4, Arg_0: 6 {O(1)}
38: n_eval_foo_bb2_in___5->n_eval_foo_bb4_in___7, Arg_0: 5 {O(1)}
39: n_eval_foo_bb2_in___8->n_eval_foo_bb4_in___7, Arg_0: 4 {O(1)}
41: n_eval_foo_bb3_in___4->n_eval_foo_bb1_in___3, Arg_0: 9 {O(1)}
42: n_eval_foo_bb4_in___10->n_eval_foo_bb1_in___9, Arg_0: 4 {O(1)}
43: n_eval_foo_bb4_in___7->n_eval_foo_bb1_in___6, Arg_0: 6 {O(1)}
44: n_eval_foo_start->n_eval_foo_bb0_in___13, Arg_0: Arg_0 {O(n)}