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___12, n_eval_foo_bb1_in___11, n_eval_foo_bb1_in___4, n_eval_foo_bb2_in___10, n_eval_foo_bb2_in___6, n_eval_foo_bb3_in___5, n_eval_foo_bb3_in___8, n_eval_foo_bb4_in___7, n_eval_foo_bb5_in___3, n_eval_foo_bb5_in___9, n_eval_foo_start, n_eval_foo_stop___1, n_eval_foo_stop___2
Transitions:
0:n_eval_foo_bb0_in___12(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb1_in___11(Arg_2,Arg_1,Arg_2,Arg_3)
1:n_eval_foo_bb1_in___11(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb2_in___10(Arg_0,Arg_0,Arg_2,Arg_3):|:Arg_0<=Arg_2 && Arg_2<=Arg_0 && Arg_0<10
2:n_eval_foo_bb1_in___11(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb5_in___9(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_0<=Arg_2 && Arg_2<=Arg_0 && 10<=Arg_0
3:n_eval_foo_bb1_in___4(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb2_in___10(Arg_0,Arg_0,Arg_2,Arg_3):|:Arg_0<10
4:n_eval_foo_bb1_in___4(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb5_in___3(Arg_0,Arg_1,Arg_2,Arg_3):|:10<=Arg_0
5:n_eval_foo_bb2_in___10(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb3_in___8(Arg_0,Arg_1,Arg_2,Arg_3):|:5<Arg_1
6:n_eval_foo_bb2_in___10(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb4_in___7(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=5
7:n_eval_foo_bb2_in___6(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb3_in___5(Arg_0,Arg_1,Arg_2,Arg_3):|:5<Arg_1 && 6<=Arg_1 && 5<Arg_1
8:n_eval_foo_bb3_in___5(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb2_in___6(Arg_0,Arg_1+1,Arg_2,Arg_3):|:6<=Arg_1
9:n_eval_foo_bb3_in___8(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb2_in___6(Arg_0,Arg_1+1,Arg_2,Arg_3):|:5<Arg_1
10:n_eval_foo_bb4_in___7(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb1_in___4(Arg_0+1,Arg_1,Arg_2,Arg_3):|:Arg_1<=5
11:n_eval_foo_bb5_in___3(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_stop___2(Arg_0,Arg_1,Arg_2,Arg_3):|:10<=Arg_0
12:n_eval_foo_bb5_in___9(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_stop___1(Arg_0,Arg_1,Arg_2,Arg_3):|:10<=Arg_0 && Arg_0<=Arg_2 && Arg_2<=Arg_0
13:n_eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb0_in___12(Arg_0,Arg_1,Arg_2,Arg_3)
Preprocessing
Eliminate variables {Arg_3} that do not contribute to the problem
Found invariant Arg_2<=5 && Arg_2<=Arg_1 && Arg_1+Arg_2<=10 && Arg_2<=Arg_0 && Arg_0+Arg_2<=10 && Arg_1<=5 && Arg_1<=Arg_0 && Arg_0+Arg_1<=10 && Arg_0<=Arg_1 && Arg_0<=5 for location n_eval_foo_bb4_in___7
Found invariant Arg_2<=Arg_0 && Arg_0<=Arg_2 for location n_eval_foo_bb1_in___11
Found invariant Arg_2<=5 && Arg_2<=Arg_1 && Arg_1+Arg_2<=10 && 1+Arg_2<=Arg_0 && Arg_0+Arg_2<=11 && Arg_1<=5 && 1+Arg_1<=Arg_0 && Arg_0+Arg_1<=11 && Arg_0<=1+Arg_1 && Arg_0<=6 for location n_eval_foo_bb1_in___4
Found invariant Arg_2<=9 && Arg_2<=Arg_1 && Arg_1+Arg_2<=18 && Arg_2<=Arg_0 && Arg_0+Arg_2<=18 && Arg_1<=9 && Arg_1<=Arg_0 && Arg_0+Arg_1<=18 && Arg_0<=Arg_1 && Arg_0<=9 for location n_eval_foo_bb2_in___10
Found invariant Arg_2<=9 && 1+Arg_2<=Arg_1 && Arg_2<=Arg_0 && Arg_0+Arg_2<=18 && 7<=Arg_1 && 13<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=9 && 6<=Arg_0 for location n_eval_foo_bb3_in___5
Found invariant 1<=0 for location n_eval_foo_stop___2
Found invariant 1<=0 for location n_eval_foo_bb5_in___3
Found invariant Arg_2<=Arg_0 && 10<=Arg_2 && 20<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 10<=Arg_0 for location n_eval_foo_stop___1
Found invariant Arg_2<=9 && Arg_2<=Arg_1 && Arg_1+Arg_2<=18 && Arg_2<=Arg_0 && Arg_0+Arg_2<=18 && Arg_1<=9 && Arg_1<=Arg_0 && Arg_0+Arg_1<=18 && 6<=Arg_1 && 12<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=9 && 6<=Arg_0 for location n_eval_foo_bb3_in___8
Found invariant Arg_2<=9 && 1+Arg_2<=Arg_1 && Arg_2<=Arg_0 && Arg_0+Arg_2<=18 && 7<=Arg_1 && 13<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=9 && 6<=Arg_0 for location n_eval_foo_bb2_in___6
Found invariant Arg_2<=Arg_0 && 10<=Arg_2 && 20<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 10<=Arg_0 for location n_eval_foo_bb5_in___9
Cut unsatisfiable transition 32: n_eval_foo_bb1_in___4->n_eval_foo_bb5_in___3
Cut unsatisfiable transition 39: n_eval_foo_bb5_in___3->n_eval_foo_stop___2
Cut unreachable locations [n_eval_foo_bb5_in___3; n_eval_foo_stop___2] from the program graph
Problem after Preprocessing
Start: n_eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_2
Temp_Vars:
Locations: n_eval_foo_bb0_in___12, n_eval_foo_bb1_in___11, n_eval_foo_bb1_in___4, n_eval_foo_bb2_in___10, n_eval_foo_bb2_in___6, n_eval_foo_bb3_in___5, n_eval_foo_bb3_in___8, n_eval_foo_bb4_in___7, n_eval_foo_bb5_in___9, n_eval_foo_start, n_eval_foo_stop___1
Transitions:
28:n_eval_foo_bb0_in___12(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb1_in___11(Arg_2,Arg_1,Arg_2)
29:n_eval_foo_bb1_in___11(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb2_in___10(Arg_0,Arg_0,Arg_2):|:Arg_2<=Arg_0 && Arg_0<=Arg_2 && Arg_0<=Arg_2 && Arg_2<=Arg_0 && Arg_0<10
30:n_eval_foo_bb1_in___11(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb5_in___9(Arg_0,Arg_1,Arg_2):|:Arg_2<=Arg_0 && Arg_0<=Arg_2 && Arg_0<=Arg_2 && Arg_2<=Arg_0 && 10<=Arg_0
31:n_eval_foo_bb1_in___4(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb2_in___10(Arg_0,Arg_0,Arg_2):|:Arg_2<=5 && Arg_2<=Arg_1 && Arg_1+Arg_2<=10 && 1+Arg_2<=Arg_0 && Arg_0+Arg_2<=11 && Arg_1<=5 && 1+Arg_1<=Arg_0 && Arg_0+Arg_1<=11 && Arg_0<=1+Arg_1 && Arg_0<=6 && Arg_0<10
33:n_eval_foo_bb2_in___10(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb3_in___8(Arg_0,Arg_1,Arg_2):|:Arg_2<=9 && Arg_2<=Arg_1 && Arg_1+Arg_2<=18 && Arg_2<=Arg_0 && Arg_0+Arg_2<=18 && Arg_1<=9 && Arg_1<=Arg_0 && Arg_0+Arg_1<=18 && Arg_0<=Arg_1 && Arg_0<=9 && 5<Arg_1
34:n_eval_foo_bb2_in___10(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb4_in___7(Arg_0,Arg_1,Arg_2):|:Arg_2<=9 && Arg_2<=Arg_1 && Arg_1+Arg_2<=18 && Arg_2<=Arg_0 && Arg_0+Arg_2<=18 && Arg_1<=9 && Arg_1<=Arg_0 && Arg_0+Arg_1<=18 && Arg_0<=Arg_1 && Arg_0<=9 && Arg_1<=5
35:n_eval_foo_bb2_in___6(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb3_in___5(Arg_0,Arg_1,Arg_2):|:Arg_2<=9 && 1+Arg_2<=Arg_1 && Arg_2<=Arg_0 && Arg_0+Arg_2<=18 && 7<=Arg_1 && 13<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=9 && 6<=Arg_0 && 5<Arg_1 && 6<=Arg_1 && 5<Arg_1
36:n_eval_foo_bb3_in___5(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb2_in___6(Arg_0,Arg_1+1,Arg_2):|:Arg_2<=9 && 1+Arg_2<=Arg_1 && Arg_2<=Arg_0 && Arg_0+Arg_2<=18 && 7<=Arg_1 && 13<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=9 && 6<=Arg_0 && 6<=Arg_1
37:n_eval_foo_bb3_in___8(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb2_in___6(Arg_0,Arg_1+1,Arg_2):|:Arg_2<=9 && Arg_2<=Arg_1 && Arg_1+Arg_2<=18 && Arg_2<=Arg_0 && Arg_0+Arg_2<=18 && Arg_1<=9 && Arg_1<=Arg_0 && Arg_0+Arg_1<=18 && 6<=Arg_1 && 12<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=9 && 6<=Arg_0 && 5<Arg_1
38:n_eval_foo_bb4_in___7(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb1_in___4(Arg_0+1,Arg_1,Arg_2):|:Arg_2<=5 && Arg_2<=Arg_1 && Arg_1+Arg_2<=10 && Arg_2<=Arg_0 && Arg_0+Arg_2<=10 && Arg_1<=5 && Arg_1<=Arg_0 && Arg_0+Arg_1<=10 && Arg_0<=Arg_1 && Arg_0<=5 && Arg_1<=5
40:n_eval_foo_bb5_in___9(Arg_0,Arg_1,Arg_2) -> n_eval_foo_stop___1(Arg_0,Arg_1,Arg_2):|:Arg_2<=Arg_0 && 10<=Arg_2 && 20<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 10<=Arg_0 && 10<=Arg_0 && Arg_0<=Arg_2 && Arg_2<=Arg_0
41:n_eval_foo_start(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb0_in___12(Arg_0,Arg_1,Arg_2)
MPRF for transition 31:n_eval_foo_bb1_in___4(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb2_in___10(Arg_0,Arg_0,Arg_2):|:Arg_2<=5 && Arg_2<=Arg_1 && Arg_1+Arg_2<=10 && 1+Arg_2<=Arg_0 && Arg_0+Arg_2<=11 && Arg_1<=5 && 1+Arg_1<=Arg_0 && Arg_0+Arg_1<=11 && Arg_0<=1+Arg_1 && Arg_0<=6 && Arg_0<10 of depth 1:
new bound:
Arg_2+6 {O(n)}
MPRF:
n_eval_foo_bb2_in___10 [6-Arg_0 ]
n_eval_foo_bb4_in___7 [6-Arg_0 ]
n_eval_foo_bb1_in___4 [6-Arg_1 ]
MPRF for transition 34:n_eval_foo_bb2_in___10(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb4_in___7(Arg_0,Arg_1,Arg_2):|:Arg_2<=9 && Arg_2<=Arg_1 && Arg_1+Arg_2<=18 && Arg_2<=Arg_0 && Arg_0+Arg_2<=18 && Arg_1<=9 && Arg_1<=Arg_0 && Arg_0+Arg_1<=18 && Arg_0<=Arg_1 && Arg_0<=9 && Arg_1<=5 of depth 1:
new bound:
Arg_2+10 {O(n)}
MPRF:
n_eval_foo_bb2_in___10 [10-Arg_0 ]
n_eval_foo_bb4_in___7 [9-Arg_0 ]
n_eval_foo_bb1_in___4 [10-Arg_0 ]
MPRF for transition 38:n_eval_foo_bb4_in___7(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb1_in___4(Arg_0+1,Arg_1,Arg_2):|:Arg_2<=5 && Arg_2<=Arg_1 && Arg_1+Arg_2<=10 && Arg_2<=Arg_0 && Arg_0+Arg_2<=10 && Arg_1<=5 && Arg_1<=Arg_0 && Arg_0+Arg_1<=10 && Arg_0<=Arg_1 && Arg_0<=5 && Arg_1<=5 of depth 1:
new bound:
Arg_2+6 {O(n)}
MPRF:
n_eval_foo_bb2_in___10 [6-Arg_1 ]
n_eval_foo_bb4_in___7 [6-Arg_1 ]
n_eval_foo_bb1_in___4 [5-Arg_1 ]
All Bounds
Timebounds
Overall timebound:inf {Infinity}
28: n_eval_foo_bb0_in___12->n_eval_foo_bb1_in___11: 1 {O(1)}
29: n_eval_foo_bb1_in___11->n_eval_foo_bb2_in___10: 1 {O(1)}
30: n_eval_foo_bb1_in___11->n_eval_foo_bb5_in___9: 1 {O(1)}
31: n_eval_foo_bb1_in___4->n_eval_foo_bb2_in___10: Arg_2+6 {O(n)}
33: n_eval_foo_bb2_in___10->n_eval_foo_bb3_in___8: 1 {O(1)}
34: n_eval_foo_bb2_in___10->n_eval_foo_bb4_in___7: Arg_2+10 {O(n)}
35: n_eval_foo_bb2_in___6->n_eval_foo_bb3_in___5: inf {Infinity}
36: n_eval_foo_bb3_in___5->n_eval_foo_bb2_in___6: inf {Infinity}
37: n_eval_foo_bb3_in___8->n_eval_foo_bb2_in___6: 1 {O(1)}
38: n_eval_foo_bb4_in___7->n_eval_foo_bb1_in___4: Arg_2+6 {O(n)}
40: n_eval_foo_bb5_in___9->n_eval_foo_stop___1: 1 {O(1)}
41: n_eval_foo_start->n_eval_foo_bb0_in___12: 1 {O(1)}
Costbounds
Overall costbound: inf {Infinity}
28: n_eval_foo_bb0_in___12->n_eval_foo_bb1_in___11: 1 {O(1)}
29: n_eval_foo_bb1_in___11->n_eval_foo_bb2_in___10: 1 {O(1)}
30: n_eval_foo_bb1_in___11->n_eval_foo_bb5_in___9: 1 {O(1)}
31: n_eval_foo_bb1_in___4->n_eval_foo_bb2_in___10: Arg_2+6 {O(n)}
33: n_eval_foo_bb2_in___10->n_eval_foo_bb3_in___8: 1 {O(1)}
34: n_eval_foo_bb2_in___10->n_eval_foo_bb4_in___7: Arg_2+10 {O(n)}
35: n_eval_foo_bb2_in___6->n_eval_foo_bb3_in___5: inf {Infinity}
36: n_eval_foo_bb3_in___5->n_eval_foo_bb2_in___6: inf {Infinity}
37: n_eval_foo_bb3_in___8->n_eval_foo_bb2_in___6: 1 {O(1)}
38: n_eval_foo_bb4_in___7->n_eval_foo_bb1_in___4: Arg_2+6 {O(n)}
40: n_eval_foo_bb5_in___9->n_eval_foo_stop___1: 1 {O(1)}
41: n_eval_foo_start->n_eval_foo_bb0_in___12: 1 {O(1)}
Sizebounds
28: n_eval_foo_bb0_in___12->n_eval_foo_bb1_in___11, Arg_0: Arg_2 {O(n)}
28: n_eval_foo_bb0_in___12->n_eval_foo_bb1_in___11, Arg_1: Arg_1 {O(n)}
28: n_eval_foo_bb0_in___12->n_eval_foo_bb1_in___11, Arg_2: Arg_2 {O(n)}
29: n_eval_foo_bb1_in___11->n_eval_foo_bb2_in___10, Arg_0: Arg_2 {O(n)}
29: n_eval_foo_bb1_in___11->n_eval_foo_bb2_in___10, Arg_1: Arg_2 {O(n)}
29: n_eval_foo_bb1_in___11->n_eval_foo_bb2_in___10, Arg_2: Arg_2 {O(n)}
30: n_eval_foo_bb1_in___11->n_eval_foo_bb5_in___9, Arg_0: Arg_2 {O(n)}
30: n_eval_foo_bb1_in___11->n_eval_foo_bb5_in___9, Arg_1: Arg_1 {O(n)}
30: n_eval_foo_bb1_in___11->n_eval_foo_bb5_in___9, Arg_2: Arg_2 {O(n)}
31: n_eval_foo_bb1_in___4->n_eval_foo_bb2_in___10, Arg_0: 2*Arg_2+6 {O(n)}
31: n_eval_foo_bb1_in___4->n_eval_foo_bb2_in___10, Arg_1: 2*Arg_2+6 {O(n)}
31: n_eval_foo_bb1_in___4->n_eval_foo_bb2_in___10, Arg_2: Arg_2 {O(n)}
33: n_eval_foo_bb2_in___10->n_eval_foo_bb3_in___8, Arg_0: 9 {O(1)}
33: n_eval_foo_bb2_in___10->n_eval_foo_bb3_in___8, Arg_1: 9 {O(1)}
33: n_eval_foo_bb2_in___10->n_eval_foo_bb3_in___8, Arg_2: 2*Arg_2 {O(n)}
34: n_eval_foo_bb2_in___10->n_eval_foo_bb4_in___7, Arg_0: 2*Arg_2+6 {O(n)}
34: n_eval_foo_bb2_in___10->n_eval_foo_bb4_in___7, Arg_1: 3*Arg_2+6 {O(n)}
34: n_eval_foo_bb2_in___10->n_eval_foo_bb4_in___7, Arg_2: Arg_2 {O(n)}
35: n_eval_foo_bb2_in___6->n_eval_foo_bb3_in___5, Arg_0: 9 {O(1)}
35: n_eval_foo_bb2_in___6->n_eval_foo_bb3_in___5, Arg_2: 2*Arg_2 {O(n)}
36: n_eval_foo_bb3_in___5->n_eval_foo_bb2_in___6, Arg_0: 9 {O(1)}
36: n_eval_foo_bb3_in___5->n_eval_foo_bb2_in___6, Arg_2: 2*Arg_2 {O(n)}
37: n_eval_foo_bb3_in___8->n_eval_foo_bb2_in___6, Arg_0: 9 {O(1)}
37: n_eval_foo_bb3_in___8->n_eval_foo_bb2_in___6, Arg_1: 10 {O(1)}
37: n_eval_foo_bb3_in___8->n_eval_foo_bb2_in___6, Arg_2: 2*Arg_2 {O(n)}
38: n_eval_foo_bb4_in___7->n_eval_foo_bb1_in___4, Arg_0: 2*Arg_2+6 {O(n)}
38: n_eval_foo_bb4_in___7->n_eval_foo_bb1_in___4, Arg_1: 3*Arg_2+6 {O(n)}
38: n_eval_foo_bb4_in___7->n_eval_foo_bb1_in___4, Arg_2: Arg_2 {O(n)}
40: n_eval_foo_bb5_in___9->n_eval_foo_stop___1, Arg_0: Arg_2 {O(n)}
40: n_eval_foo_bb5_in___9->n_eval_foo_stop___1, Arg_1: Arg_1 {O(n)}
40: n_eval_foo_bb5_in___9->n_eval_foo_stop___1, Arg_2: Arg_2 {O(n)}
41: n_eval_foo_start->n_eval_foo_bb0_in___12, Arg_0: Arg_0 {O(n)}
41: n_eval_foo_start->n_eval_foo_bb0_in___12, Arg_1: Arg_1 {O(n)}
41: n_eval_foo_start->n_eval_foo_bb0_in___12, Arg_2: Arg_2 {O(n)}