Initial Problem

Start: n_eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4
Temp_Vars:
Locations: n_eval_foo_bb0_in___12, n_eval_foo_bb1_in___11, n_eval_foo_bb1_in___3, n_eval_foo_bb2_in___10, n_eval_foo_bb2_in___6, n_eval_foo_bb2_in___8, n_eval_foo_bb3_in___5, n_eval_foo_bb3_in___7, n_eval_foo_bb3_in___9, n_eval_foo_bb4_in___4, n_eval_foo_bb5_in___2, n_eval_foo_start, n_eval_foo_stop___1
Transitions:
0:n_eval_foo_bb0_in___12(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb1_in___11(0,Arg_1,Arg_2,Arg_3,Arg_4)
1:n_eval_foo_bb1_in___11(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb2_in___10(Arg_0,3,Arg_2,Arg_3,Arg_4):|:Arg_0<10 && Arg_0<=0 && 0<=Arg_0 && Arg_0<=9 && Arg_0<10
2:n_eval_foo_bb1_in___3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb2_in___8(Arg_0,3,Arg_2,Arg_3,Arg_4):|:Arg_0<10
3:n_eval_foo_bb1_in___3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb5_in___2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:10<=Arg_0
4:n_eval_foo_bb2_in___10(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb3_in___9(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_1<12 && Arg_1<=3 && 3<=Arg_1 && Arg_0<=9 && Arg_1<=11 && Arg_1<12
5:n_eval_foo_bb2_in___6(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb3_in___5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_1<12
6:n_eval_foo_bb2_in___6(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb4_in___4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:12<=Arg_1
7:n_eval_foo_bb2_in___8(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb3_in___7(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_1<12 && Arg_1<=11 && Arg_1<12
8:n_eval_foo_bb3_in___5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb2_in___6(Arg_0,Arg_1+1,Arg_2,Arg_3,Arg_4):|:Arg_1<12
9:n_eval_foo_bb3_in___7(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb2_in___6(Arg_0,Arg_1+1,Arg_2,Arg_3,Arg_4):|:Arg_1<=11
10:n_eval_foo_bb3_in___9(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb2_in___8(Arg_0,Arg_1+1,Arg_2,Arg_3,Arg_4):|:Arg_0<=9 && Arg_1<=3 && 3<=Arg_1
11:n_eval_foo_bb4_in___4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb1_in___3(Arg_0+1,Arg_1,Arg_2,Arg_3,Arg_4):|:12<=Arg_1
12:n_eval_foo_bb5_in___2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_stop___1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:10<=Arg_0
13:n_eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb0_in___12(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)

Preprocessing

Eliminate variables {Arg_2,Arg_3,Arg_4} that do not contribute to the problem

Found invariant Arg_1<=3 && Arg_1<=3+Arg_0 && Arg_0+Arg_1<=3 && 3<=Arg_1 && 3<=Arg_0+Arg_1 && 3+Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 for location n_eval_foo_bb3_in___9

Found invariant Arg_0<=0 && 0<=Arg_0 for location n_eval_foo_bb1_in___11

Found invariant Arg_1<=12 && Arg_1<=11+Arg_0 && 12<=Arg_1 && 13<=Arg_0+Arg_1 && 1<=Arg_0 for location n_eval_foo_bb1_in___3

Found invariant Arg_1<=3 && Arg_1<=3+Arg_0 && Arg_0+Arg_1<=3 && 3<=Arg_1 && 3<=Arg_0+Arg_1 && 3+Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 for location n_eval_foo_bb2_in___10

Found invariant Arg_1<=4 && Arg_1<=4+Arg_0 && Arg_0+Arg_1<=12 && 3<=Arg_1 && 4<=Arg_0+Arg_1 && Arg_0<=6+Arg_1 && Arg_0<=9 && 0<=Arg_0 for location n_eval_foo_bb2_in___8

Found invariant Arg_1<=11 && Arg_1<=11+Arg_0 && 5<=Arg_0+Arg_1 && 0<=Arg_0 for location n_eval_foo_bb3_in___5

Found invariant Arg_1<=12 && Arg_1<=2+Arg_0 && 12<=Arg_1 && 22<=Arg_0+Arg_1 && 10<=Arg_0 for location n_eval_foo_bb5_in___2

Found invariant Arg_1<=12 && Arg_1<=2+Arg_0 && 12<=Arg_1 && 22<=Arg_0+Arg_1 && 10<=Arg_0 for location n_eval_foo_stop___1

Found invariant Arg_1<=4 && Arg_1<=4+Arg_0 && Arg_0+Arg_1<=12 && 3<=Arg_1 && 4<=Arg_0+Arg_1 && Arg_0<=6+Arg_1 && Arg_0<=9 && 0<=Arg_0 for location n_eval_foo_bb3_in___7

Found invariant Arg_1<=12 && Arg_1<=12+Arg_0 && 5<=Arg_0+Arg_1 && 0<=Arg_0 for location n_eval_foo_bb2_in___6

Found invariant Arg_1<=12 && Arg_1<=12+Arg_0 && 12<=Arg_1 && 12<=Arg_0+Arg_1 && 0<=Arg_0 for location n_eval_foo_bb4_in___4

Problem after Preprocessing

Start: n_eval_foo_start
Program_Vars: Arg_0, Arg_1
Temp_Vars:
Locations: n_eval_foo_bb0_in___12, n_eval_foo_bb1_in___11, n_eval_foo_bb1_in___3, n_eval_foo_bb2_in___10, n_eval_foo_bb2_in___6, n_eval_foo_bb2_in___8, n_eval_foo_bb3_in___5, n_eval_foo_bb3_in___7, n_eval_foo_bb3_in___9, n_eval_foo_bb4_in___4, n_eval_foo_bb5_in___2, n_eval_foo_start, n_eval_foo_stop___1
Transitions:
28:n_eval_foo_bb0_in___12(Arg_0,Arg_1) -> n_eval_foo_bb1_in___11(0,Arg_1)
29:n_eval_foo_bb1_in___11(Arg_0,Arg_1) -> n_eval_foo_bb2_in___10(Arg_0,3):|:Arg_0<=0 && 0<=Arg_0 && Arg_0<10 && Arg_0<=0 && 0<=Arg_0 && Arg_0<=9 && Arg_0<10
30:n_eval_foo_bb1_in___3(Arg_0,Arg_1) -> n_eval_foo_bb2_in___8(Arg_0,3):|:Arg_1<=12 && Arg_1<=11+Arg_0 && 12<=Arg_1 && 13<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_0<10
31:n_eval_foo_bb1_in___3(Arg_0,Arg_1) -> n_eval_foo_bb5_in___2(Arg_0,Arg_1):|:Arg_1<=12 && Arg_1<=11+Arg_0 && 12<=Arg_1 && 13<=Arg_0+Arg_1 && 1<=Arg_0 && 10<=Arg_0
32:n_eval_foo_bb2_in___10(Arg_0,Arg_1) -> n_eval_foo_bb3_in___9(Arg_0,Arg_1):|:Arg_1<=3 && Arg_1<=3+Arg_0 && Arg_0+Arg_1<=3 && 3<=Arg_1 && 3<=Arg_0+Arg_1 && 3+Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && Arg_1<12 && Arg_1<=3 && 3<=Arg_1 && Arg_0<=9 && Arg_1<=11 && Arg_1<12
33:n_eval_foo_bb2_in___6(Arg_0,Arg_1) -> n_eval_foo_bb3_in___5(Arg_0,Arg_1):|:Arg_1<=12 && Arg_1<=12+Arg_0 && 5<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_1<12
34:n_eval_foo_bb2_in___6(Arg_0,Arg_1) -> n_eval_foo_bb4_in___4(Arg_0,Arg_1):|:Arg_1<=12 && Arg_1<=12+Arg_0 && 5<=Arg_0+Arg_1 && 0<=Arg_0 && 12<=Arg_1
35:n_eval_foo_bb2_in___8(Arg_0,Arg_1) -> n_eval_foo_bb3_in___7(Arg_0,Arg_1):|:Arg_1<=4 && Arg_1<=4+Arg_0 && Arg_0+Arg_1<=12 && 3<=Arg_1 && 4<=Arg_0+Arg_1 && Arg_0<=6+Arg_1 && Arg_0<=9 && 0<=Arg_0 && Arg_1<12 && Arg_1<=11 && Arg_1<12
36:n_eval_foo_bb3_in___5(Arg_0,Arg_1) -> n_eval_foo_bb2_in___6(Arg_0,Arg_1+1):|:Arg_1<=11 && Arg_1<=11+Arg_0 && 5<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_1<12
37:n_eval_foo_bb3_in___7(Arg_0,Arg_1) -> n_eval_foo_bb2_in___6(Arg_0,Arg_1+1):|:Arg_1<=4 && Arg_1<=4+Arg_0 && Arg_0+Arg_1<=12 && 3<=Arg_1 && 4<=Arg_0+Arg_1 && Arg_0<=6+Arg_1 && Arg_0<=9 && 0<=Arg_0 && Arg_1<=11
38:n_eval_foo_bb3_in___9(Arg_0,Arg_1) -> n_eval_foo_bb2_in___8(Arg_0,Arg_1+1):|:Arg_1<=3 && Arg_1<=3+Arg_0 && Arg_0+Arg_1<=3 && 3<=Arg_1 && 3<=Arg_0+Arg_1 && 3+Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && Arg_0<=9 && Arg_1<=3 && 3<=Arg_1
39:n_eval_foo_bb4_in___4(Arg_0,Arg_1) -> n_eval_foo_bb1_in___3(Arg_0+1,Arg_1):|:Arg_1<=12 && Arg_1<=12+Arg_0 && 12<=Arg_1 && 12<=Arg_0+Arg_1 && 0<=Arg_0 && 12<=Arg_1
40:n_eval_foo_bb5_in___2(Arg_0,Arg_1) -> n_eval_foo_stop___1(Arg_0,Arg_1):|:Arg_1<=12 && Arg_1<=2+Arg_0 && 12<=Arg_1 && 22<=Arg_0+Arg_1 && 10<=Arg_0 && 10<=Arg_0
41:n_eval_foo_start(Arg_0,Arg_1) -> n_eval_foo_bb0_in___12(Arg_0,Arg_1)

MPRF for transition 30:n_eval_foo_bb1_in___3(Arg_0,Arg_1) -> n_eval_foo_bb2_in___8(Arg_0,3):|:Arg_1<=12 && Arg_1<=11+Arg_0 && 12<=Arg_1 && 13<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_0<10 of depth 1:

new bound:

48 {O(1)}

MPRF:

n_eval_foo_bb2_in___8 [12*Arg_1-3*Arg_0 ]
n_eval_foo_bb3_in___5 [36-3*Arg_0 ]
n_eval_foo_bb3_in___7 [12*Arg_1-3*Arg_0 ]
n_eval_foo_bb2_in___6 [36-3*Arg_0 ]
n_eval_foo_bb4_in___4 [3*Arg_1-3*Arg_0 ]
n_eval_foo_bb1_in___3 [39-3*Arg_0 ]

MPRF for transition 35:n_eval_foo_bb2_in___8(Arg_0,Arg_1) -> n_eval_foo_bb3_in___7(Arg_0,Arg_1):|:Arg_1<=4 && Arg_1<=4+Arg_0 && Arg_0+Arg_1<=12 && 3<=Arg_1 && 4<=Arg_0+Arg_1 && Arg_0<=6+Arg_1 && Arg_0<=9 && 0<=Arg_0 && Arg_1<12 && Arg_1<=11 && Arg_1<12 of depth 1:

new bound:

39 {O(1)}

MPRF:

n_eval_foo_bb2_in___8 [39-3*Arg_0 ]
n_eval_foo_bb3_in___5 [36-3*Arg_0 ]
n_eval_foo_bb3_in___7 [36-3*Arg_0 ]
n_eval_foo_bb2_in___6 [36-3*Arg_0 ]
n_eval_foo_bb4_in___4 [3*Arg_1-3*Arg_0 ]
n_eval_foo_bb1_in___3 [39-3*Arg_0 ]

MPRF for transition 37:n_eval_foo_bb3_in___7(Arg_0,Arg_1) -> n_eval_foo_bb2_in___6(Arg_0,Arg_1+1):|:Arg_1<=4 && Arg_1<=4+Arg_0 && Arg_0+Arg_1<=12 && 3<=Arg_1 && 4<=Arg_0+Arg_1 && Arg_0<=6+Arg_1 && Arg_0<=9 && 0<=Arg_0 && Arg_1<=11 of depth 1:

new bound:

10 {O(1)}

MPRF:

n_eval_foo_bb2_in___8 [10-Arg_0 ]
n_eval_foo_bb3_in___5 [9-Arg_0 ]
n_eval_foo_bb3_in___7 [10-Arg_0 ]
n_eval_foo_bb2_in___6 [9-Arg_0 ]
n_eval_foo_bb4_in___4 [9-Arg_0 ]
n_eval_foo_bb1_in___3 [10-Arg_0 ]

MPRF for transition 33:n_eval_foo_bb2_in___6(Arg_0,Arg_1) -> n_eval_foo_bb3_in___5(Arg_0,Arg_1):|:Arg_1<=12 && Arg_1<=12+Arg_0 && 5<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_1<12 of depth 1:

new bound:

170 {O(1)}

MPRF:

n_eval_foo_bb2_in___8 [0 ]
n_eval_foo_bb3_in___7 [0 ]
n_eval_foo_bb3_in___5 [11-Arg_1 ]
n_eval_foo_bb2_in___6 [12-Arg_1 ]
n_eval_foo_bb4_in___4 [0 ]
n_eval_foo_bb1_in___3 [0 ]

MPRF for transition 34:n_eval_foo_bb2_in___6(Arg_0,Arg_1) -> n_eval_foo_bb4_in___4(Arg_0,Arg_1):|:Arg_1<=12 && Arg_1<=12+Arg_0 && 5<=Arg_0+Arg_1 && 0<=Arg_0 && 12<=Arg_1 of depth 1:

new bound:

18 {O(1)}

MPRF:

n_eval_foo_bb2_in___8 [Arg_1-4 ]
n_eval_foo_bb3_in___7 [Arg_1-4 ]
n_eval_foo_bb3_in___5 [1 ]
n_eval_foo_bb2_in___6 [1 ]
n_eval_foo_bb4_in___4 [0 ]
n_eval_foo_bb1_in___3 [-1 ]

MPRF for transition 36:n_eval_foo_bb3_in___5(Arg_0,Arg_1) -> n_eval_foo_bb2_in___6(Arg_0,Arg_1+1):|:Arg_1<=11 && Arg_1<=11+Arg_0 && 5<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_1<12 of depth 1:

new bound:

268 {O(1)}

MPRF:

n_eval_foo_bb2_in___8 [8 ]
n_eval_foo_bb3_in___7 [8 ]
n_eval_foo_bb3_in___5 [21-Arg_1 ]
n_eval_foo_bb2_in___6 [21-Arg_1 ]
n_eval_foo_bb4_in___4 [21-Arg_1 ]
n_eval_foo_bb1_in___3 [8 ]

MPRF for transition 39:n_eval_foo_bb4_in___4(Arg_0,Arg_1) -> n_eval_foo_bb1_in___3(Arg_0+1,Arg_1):|:Arg_1<=12 && Arg_1<=12+Arg_0 && 12<=Arg_1 && 12<=Arg_0+Arg_1 && 0<=Arg_0 && 12<=Arg_1 of depth 1:

new bound:

94 {O(1)}

MPRF:

n_eval_foo_bb2_in___8 [Arg_0-Arg_1 ]
n_eval_foo_bb3_in___7 [Arg_0-Arg_1 ]
n_eval_foo_bb3_in___5 [9 ]
n_eval_foo_bb2_in___6 [9 ]
n_eval_foo_bb4_in___4 [9 ]
n_eval_foo_bb1_in___3 [6 ]

All Bounds

Timebounds

Overall timebound:654 {O(1)}
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___3->n_eval_foo_bb2_in___8: 48 {O(1)}
31: n_eval_foo_bb1_in___3->n_eval_foo_bb5_in___2: 1 {O(1)}
32: n_eval_foo_bb2_in___10->n_eval_foo_bb3_in___9: 1 {O(1)}
33: n_eval_foo_bb2_in___6->n_eval_foo_bb3_in___5: 170 {O(1)}
34: n_eval_foo_bb2_in___6->n_eval_foo_bb4_in___4: 18 {O(1)}
35: n_eval_foo_bb2_in___8->n_eval_foo_bb3_in___7: 39 {O(1)}
36: n_eval_foo_bb3_in___5->n_eval_foo_bb2_in___6: 268 {O(1)}
37: n_eval_foo_bb3_in___7->n_eval_foo_bb2_in___6: 10 {O(1)}
38: n_eval_foo_bb3_in___9->n_eval_foo_bb2_in___8: 1 {O(1)}
39: n_eval_foo_bb4_in___4->n_eval_foo_bb1_in___3: 94 {O(1)}
40: n_eval_foo_bb5_in___2->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: 654 {O(1)}
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___3->n_eval_foo_bb2_in___8: 48 {O(1)}
31: n_eval_foo_bb1_in___3->n_eval_foo_bb5_in___2: 1 {O(1)}
32: n_eval_foo_bb2_in___10->n_eval_foo_bb3_in___9: 1 {O(1)}
33: n_eval_foo_bb2_in___6->n_eval_foo_bb3_in___5: 170 {O(1)}
34: n_eval_foo_bb2_in___6->n_eval_foo_bb4_in___4: 18 {O(1)}
35: n_eval_foo_bb2_in___8->n_eval_foo_bb3_in___7: 39 {O(1)}
36: n_eval_foo_bb3_in___5->n_eval_foo_bb2_in___6: 268 {O(1)}
37: n_eval_foo_bb3_in___7->n_eval_foo_bb2_in___6: 10 {O(1)}
38: n_eval_foo_bb3_in___9->n_eval_foo_bb2_in___8: 1 {O(1)}
39: n_eval_foo_bb4_in___4->n_eval_foo_bb1_in___3: 94 {O(1)}
40: n_eval_foo_bb5_in___2->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: 0 {O(1)}
28: n_eval_foo_bb0_in___12->n_eval_foo_bb1_in___11, Arg_1: Arg_1 {O(n)}
29: n_eval_foo_bb1_in___11->n_eval_foo_bb2_in___10, Arg_0: 0 {O(1)}
29: n_eval_foo_bb1_in___11->n_eval_foo_bb2_in___10, Arg_1: 3 {O(1)}
30: n_eval_foo_bb1_in___3->n_eval_foo_bb2_in___8, Arg_0: 9 {O(1)}
30: n_eval_foo_bb1_in___3->n_eval_foo_bb2_in___8, Arg_1: 3 {O(1)}
31: n_eval_foo_bb1_in___3->n_eval_foo_bb5_in___2, Arg_0: 10 {O(1)}
31: n_eval_foo_bb1_in___3->n_eval_foo_bb5_in___2, Arg_1: 12 {O(1)}
32: n_eval_foo_bb2_in___10->n_eval_foo_bb3_in___9, Arg_0: 0 {O(1)}
32: n_eval_foo_bb2_in___10->n_eval_foo_bb3_in___9, Arg_1: 3 {O(1)}
33: n_eval_foo_bb2_in___6->n_eval_foo_bb3_in___5, Arg_0: 9 {O(1)}
33: n_eval_foo_bb2_in___6->n_eval_foo_bb3_in___5, Arg_1: 273 {O(1)}
34: n_eval_foo_bb2_in___6->n_eval_foo_bb4_in___4, Arg_0: 9 {O(1)}
34: n_eval_foo_bb2_in___6->n_eval_foo_bb4_in___4, Arg_1: 12 {O(1)}
35: n_eval_foo_bb2_in___8->n_eval_foo_bb3_in___7, Arg_0: 9 {O(1)}
35: n_eval_foo_bb2_in___8->n_eval_foo_bb3_in___7, Arg_1: 4 {O(1)}
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_1: 273 {O(1)}
37: n_eval_foo_bb3_in___7->n_eval_foo_bb2_in___6, Arg_0: 9 {O(1)}
37: n_eval_foo_bb3_in___7->n_eval_foo_bb2_in___6, Arg_1: 5 {O(1)}
38: n_eval_foo_bb3_in___9->n_eval_foo_bb2_in___8, Arg_0: 0 {O(1)}
38: n_eval_foo_bb3_in___9->n_eval_foo_bb2_in___8, Arg_1: 4 {O(1)}
39: n_eval_foo_bb4_in___4->n_eval_foo_bb1_in___3, Arg_0: 10 {O(1)}
39: n_eval_foo_bb4_in___4->n_eval_foo_bb1_in___3, Arg_1: 12 {O(1)}
40: n_eval_foo_bb5_in___2->n_eval_foo_stop___1, Arg_0: 10 {O(1)}
40: n_eval_foo_bb5_in___2->n_eval_foo_stop___1, Arg_1: 12 {O(1)}
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)}