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___14, n_eval_foo_bb1_in___13, n_eval_foo_bb1_in___4, n_eval_foo_bb2_in___12, n_eval_foo_bb2_in___7, n_eval_foo_bb2_in___9, n_eval_foo_bb3_in___10, n_eval_foo_bb3_in___6, n_eval_foo_bb3_in___8, n_eval_foo_bb4_in___5, n_eval_foo_bb5_in___11, n_eval_foo_bb5_in___3, n_eval_foo_start, n_eval_foo_stop___1, n_eval_foo_stop___2
Transitions:
0:n_eval_foo_bb0_in___14(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb1_in___13(Arg_2,Arg_1,Arg_2,Arg_3)
1:n_eval_foo_bb1_in___13(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb2_in___12(Arg_0,10,Arg_2,Arg_3):|:Arg_0<=Arg_2 && Arg_2<=Arg_0 && Arg_0<=10
2:n_eval_foo_bb1_in___13(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb5_in___11(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___12(Arg_0,10,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___12(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb3_in___10(Arg_0,Arg_1,Arg_2,Arg_3):|:1<Arg_1 && Arg_1<=10 && 10<=Arg_1 && Arg_0<=10 && 2<=Arg_1 && 1<Arg_1
6:n_eval_foo_bb2_in___7(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb3_in___6(Arg_0,Arg_1,Arg_2,Arg_3):|:1<Arg_1
7:n_eval_foo_bb2_in___7(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb4_in___5(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=1
8:n_eval_foo_bb2_in___9(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb3_in___8(Arg_0,Arg_1,Arg_2,Arg_3):|:1<Arg_1 && 2<=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<=10 && Arg_1<=10 && 10<=Arg_1
10:n_eval_foo_bb3_in___6(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb2_in___7(Arg_0,Arg_1-1,Arg_2,Arg_3):|:1<Arg_1
11:n_eval_foo_bb3_in___8(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb2_in___7(Arg_0,Arg_1-1,Arg_2,Arg_3):|:2<=Arg_1
12:n_eval_foo_bb4_in___5(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<=1
13:n_eval_foo_bb5_in___11(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
14: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
15:n_eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb0_in___14(Arg_0,Arg_1,Arg_2,Arg_3)

Preprocessing

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

Found invariant Arg_2<=10 && Arg_2<=9+Arg_1 && Arg_1+Arg_2<=18 && Arg_2<=Arg_0 && Arg_0+Arg_2<=20 && Arg_1<=8 && Arg_0+Arg_1<=18 && 1<=Arg_1 && Arg_0<=9+Arg_1 && Arg_0<=10 for location n_eval_foo_bb2_in___7

Found invariant Arg_2<=10 && Arg_2<=9+Arg_1 && Arg_1+Arg_2<=11 && 1+Arg_2<=Arg_0 && Arg_0+Arg_2<=21 && Arg_1<=1 && Arg_0+Arg_1<=12 && 1<=Arg_1 && Arg_0<=10+Arg_1 && Arg_0<=11 for location n_eval_foo_bb1_in___4

Found invariant Arg_2<=10 && Arg_2<=8+Arg_1 && Arg_1+Arg_2<=18 && Arg_2<=Arg_0 && Arg_0+Arg_2<=20 && Arg_1<=8 && Arg_0+Arg_1<=18 && 2<=Arg_1 && Arg_0<=8+Arg_1 && Arg_0<=10 for location n_eval_foo_bb3_in___6

Found invariant Arg_2<=Arg_0 && 11<=Arg_2 && 22<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 11<=Arg_0 for location n_eval_foo_bb5_in___11

Found invariant Arg_2<=10 && Arg_2<=9+Arg_1 && Arg_1+Arg_2<=11 && 1+Arg_2<=Arg_0 && Arg_0+Arg_2<=21 && Arg_1<=1 && 10+Arg_1<=Arg_0 && Arg_0+Arg_1<=12 && 1<=Arg_1 && 12<=Arg_0+Arg_1 && Arg_0<=10+Arg_1 && Arg_0<=11 && 11<=Arg_0 for location n_eval_foo_stop___2

Found invariant Arg_2<=Arg_0 && Arg_0<=Arg_2 for location n_eval_foo_bb1_in___13

Found invariant Arg_2<=10 && Arg_2<=Arg_1 && Arg_1+Arg_2<=20 && Arg_2<=Arg_0 && Arg_0+Arg_2<=20 && Arg_1<=10 && Arg_0+Arg_1<=20 && 10<=Arg_1 && Arg_0<=Arg_1 && Arg_0<=10 for location n_eval_foo_bb3_in___10

Found invariant Arg_2<=10 && Arg_2<=9+Arg_1 && Arg_1+Arg_2<=11 && 1+Arg_2<=Arg_0 && Arg_0+Arg_2<=21 && Arg_1<=1 && 10+Arg_1<=Arg_0 && Arg_0+Arg_1<=12 && 1<=Arg_1 && 12<=Arg_0+Arg_1 && Arg_0<=10+Arg_1 && Arg_0<=11 && 11<=Arg_0 for location n_eval_foo_bb5_in___3

Found invariant Arg_2<=10 && Arg_2<=Arg_1 && Arg_1+Arg_2<=20 && Arg_2<=Arg_0 && Arg_0+Arg_2<=20 && Arg_1<=10 && Arg_0+Arg_1<=20 && 10<=Arg_1 && Arg_0<=Arg_1 && Arg_0<=10 for location n_eval_foo_bb2_in___12

Found invariant Arg_2<=Arg_0 && 11<=Arg_2 && 22<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 11<=Arg_0 for location n_eval_foo_stop___1

Found invariant Arg_2<=10 && Arg_2<=1+Arg_1 && Arg_1+Arg_2<=19 && Arg_2<=Arg_0 && Arg_0+Arg_2<=20 && Arg_1<=9 && Arg_0+Arg_1<=19 && 9<=Arg_1 && Arg_0<=1+Arg_1 && Arg_0<=10 for location n_eval_foo_bb3_in___8

Found invariant Arg_2<=10 && Arg_2<=1+Arg_1 && Arg_1+Arg_2<=19 && Arg_2<=Arg_0 && Arg_0+Arg_2<=20 && Arg_1<=9 && Arg_0+Arg_1<=19 && 9<=Arg_1 && Arg_0<=1+Arg_1 && Arg_0<=10 for location n_eval_foo_bb2_in___9

Found invariant Arg_2<=10 && Arg_2<=9+Arg_1 && Arg_1+Arg_2<=11 && Arg_2<=Arg_0 && Arg_0+Arg_2<=20 && Arg_1<=1 && Arg_0+Arg_1<=11 && 1<=Arg_1 && Arg_0<=9+Arg_1 && Arg_0<=10 for location n_eval_foo_bb4_in___5

Problem after Preprocessing

Start: n_eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_2
Temp_Vars:
Locations: n_eval_foo_bb0_in___14, n_eval_foo_bb1_in___13, n_eval_foo_bb1_in___4, n_eval_foo_bb2_in___12, n_eval_foo_bb2_in___7, n_eval_foo_bb2_in___9, n_eval_foo_bb3_in___10, n_eval_foo_bb3_in___6, n_eval_foo_bb3_in___8, n_eval_foo_bb4_in___5, n_eval_foo_bb5_in___11, n_eval_foo_bb5_in___3, n_eval_foo_start, n_eval_foo_stop___1, n_eval_foo_stop___2
Transitions:
32:n_eval_foo_bb0_in___14(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb1_in___13(Arg_2,Arg_1,Arg_2)
33:n_eval_foo_bb1_in___13(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb2_in___12(Arg_0,10,Arg_2):|:Arg_2<=Arg_0 && Arg_0<=Arg_2 && Arg_0<=Arg_2 && Arg_2<=Arg_0 && Arg_0<=10
34:n_eval_foo_bb1_in___13(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb5_in___11(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
35:n_eval_foo_bb1_in___4(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb2_in___12(Arg_0,10,Arg_2):|:Arg_2<=10 && Arg_2<=9+Arg_1 && Arg_1+Arg_2<=11 && 1+Arg_2<=Arg_0 && Arg_0+Arg_2<=21 && Arg_1<=1 && Arg_0+Arg_1<=12 && 1<=Arg_1 && Arg_0<=10+Arg_1 && Arg_0<=11 && Arg_0<=10
36:n_eval_foo_bb1_in___4(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb5_in___3(Arg_0,Arg_1,Arg_2):|:Arg_2<=10 && Arg_2<=9+Arg_1 && Arg_1+Arg_2<=11 && 1+Arg_2<=Arg_0 && Arg_0+Arg_2<=21 && Arg_1<=1 && Arg_0+Arg_1<=12 && 1<=Arg_1 && Arg_0<=10+Arg_1 && Arg_0<=11 && 10<Arg_0
37:n_eval_foo_bb2_in___12(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb3_in___10(Arg_0,Arg_1,Arg_2):|:Arg_2<=10 && Arg_2<=Arg_1 && Arg_1+Arg_2<=20 && Arg_2<=Arg_0 && Arg_0+Arg_2<=20 && Arg_1<=10 && Arg_0+Arg_1<=20 && 10<=Arg_1 && Arg_0<=Arg_1 && Arg_0<=10 && 1<Arg_1 && Arg_1<=10 && 10<=Arg_1 && Arg_0<=10 && 2<=Arg_1 && 1<Arg_1
38:n_eval_foo_bb2_in___7(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb3_in___6(Arg_0,Arg_1,Arg_2):|:Arg_2<=10 && Arg_2<=9+Arg_1 && Arg_1+Arg_2<=18 && Arg_2<=Arg_0 && Arg_0+Arg_2<=20 && Arg_1<=8 && Arg_0+Arg_1<=18 && 1<=Arg_1 && Arg_0<=9+Arg_1 && Arg_0<=10 && 1<Arg_1
39:n_eval_foo_bb2_in___7(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb4_in___5(Arg_0,Arg_1,Arg_2):|:Arg_2<=10 && Arg_2<=9+Arg_1 && Arg_1+Arg_2<=18 && Arg_2<=Arg_0 && Arg_0+Arg_2<=20 && Arg_1<=8 && Arg_0+Arg_1<=18 && 1<=Arg_1 && Arg_0<=9+Arg_1 && Arg_0<=10 && Arg_1<=1
40:n_eval_foo_bb2_in___9(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb3_in___8(Arg_0,Arg_1,Arg_2):|:Arg_2<=10 && Arg_2<=1+Arg_1 && Arg_1+Arg_2<=19 && Arg_2<=Arg_0 && Arg_0+Arg_2<=20 && Arg_1<=9 && Arg_0+Arg_1<=19 && 9<=Arg_1 && Arg_0<=1+Arg_1 && Arg_0<=10 && 1<Arg_1 && 2<=Arg_1 && 1<Arg_1
41:n_eval_foo_bb3_in___10(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb2_in___9(Arg_0,Arg_1-1,Arg_2):|:Arg_2<=10 && Arg_2<=Arg_1 && Arg_1+Arg_2<=20 && Arg_2<=Arg_0 && Arg_0+Arg_2<=20 && Arg_1<=10 && Arg_0+Arg_1<=20 && 10<=Arg_1 && Arg_0<=Arg_1 && Arg_0<=10 && Arg_0<=10 && Arg_1<=10 && 10<=Arg_1
42:n_eval_foo_bb3_in___6(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb2_in___7(Arg_0,Arg_1-1,Arg_2):|:Arg_2<=10 && Arg_2<=8+Arg_1 && Arg_1+Arg_2<=18 && Arg_2<=Arg_0 && Arg_0+Arg_2<=20 && Arg_1<=8 && Arg_0+Arg_1<=18 && 2<=Arg_1 && Arg_0<=8+Arg_1 && Arg_0<=10 && 1<Arg_1
43:n_eval_foo_bb3_in___8(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb2_in___7(Arg_0,Arg_1-1,Arg_2):|:Arg_2<=10 && Arg_2<=1+Arg_1 && Arg_1+Arg_2<=19 && Arg_2<=Arg_0 && Arg_0+Arg_2<=20 && Arg_1<=9 && Arg_0+Arg_1<=19 && 9<=Arg_1 && Arg_0<=1+Arg_1 && Arg_0<=10 && 2<=Arg_1
44:n_eval_foo_bb4_in___5(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb1_in___4(Arg_0+1,Arg_1,Arg_2):|:Arg_2<=10 && Arg_2<=9+Arg_1 && Arg_1+Arg_2<=11 && Arg_2<=Arg_0 && Arg_0+Arg_2<=20 && Arg_1<=1 && Arg_0+Arg_1<=11 && 1<=Arg_1 && Arg_0<=9+Arg_1 && Arg_0<=10 && Arg_1<=1
45:n_eval_foo_bb5_in___11(Arg_0,Arg_1,Arg_2) -> n_eval_foo_stop___1(Arg_0,Arg_1,Arg_2):|:Arg_2<=Arg_0 && 11<=Arg_2 && 22<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 11<=Arg_0 && 10<Arg_0 && Arg_0<=Arg_2 && Arg_2<=Arg_0
46:n_eval_foo_bb5_in___3(Arg_0,Arg_1,Arg_2) -> n_eval_foo_stop___2(Arg_0,Arg_1,Arg_2):|:Arg_2<=10 && Arg_2<=9+Arg_1 && Arg_1+Arg_2<=11 && 1+Arg_2<=Arg_0 && Arg_0+Arg_2<=21 && Arg_1<=1 && 10+Arg_1<=Arg_0 && Arg_0+Arg_1<=12 && 1<=Arg_1 && 12<=Arg_0+Arg_1 && Arg_0<=10+Arg_1 && Arg_0<=11 && 11<=Arg_0 && 10<Arg_0
47:n_eval_foo_start(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb0_in___14(Arg_0,Arg_1,Arg_2)

MPRF for transition 35:n_eval_foo_bb1_in___4(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb2_in___12(Arg_0,10,Arg_2):|:Arg_2<=10 && Arg_2<=9+Arg_1 && Arg_1+Arg_2<=11 && 1+Arg_2<=Arg_0 && Arg_0+Arg_2<=21 && Arg_1<=1 && Arg_0+Arg_1<=12 && 1<=Arg_1 && Arg_0<=10+Arg_1 && Arg_0<=11 && Arg_0<=10 of depth 1:

new bound:

9*Arg_2+99 {O(n)}

MPRF:

n_eval_foo_bb2_in___12 [99-9*Arg_0 ]
n_eval_foo_bb3_in___10 [99-9*Arg_0 ]
n_eval_foo_bb2_in___9 [99-9*Arg_0 ]
n_eval_foo_bb3_in___6 [99-9*Arg_0 ]
n_eval_foo_bb3_in___8 [11*Arg_1-9*Arg_0 ]
n_eval_foo_bb2_in___7 [99-9*Arg_0 ]
n_eval_foo_bb4_in___5 [99*Arg_1-9*Arg_0 ]
n_eval_foo_bb1_in___4 [108-9*Arg_0 ]

MPRF for transition 37:n_eval_foo_bb2_in___12(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb3_in___10(Arg_0,Arg_1,Arg_2):|:Arg_2<=10 && Arg_2<=Arg_1 && Arg_1+Arg_2<=20 && Arg_2<=Arg_0 && Arg_0+Arg_2<=20 && Arg_1<=10 && Arg_0+Arg_1<=20 && 10<=Arg_1 && Arg_0<=Arg_1 && Arg_0<=10 && 1<Arg_1 && Arg_1<=10 && 10<=Arg_1 && Arg_0<=10 && 2<=Arg_1 && 1<Arg_1 of depth 1:

new bound:

Arg_2+19 {O(n)}

MPRF:

n_eval_foo_bb2_in___12 [19-Arg_0 ]
n_eval_foo_bb3_in___10 [18-Arg_0 ]
n_eval_foo_bb2_in___9 [18-Arg_0 ]
n_eval_foo_bb3_in___6 [18-Arg_0 ]
n_eval_foo_bb3_in___8 [2*Arg_1-Arg_0 ]
n_eval_foo_bb2_in___7 [18-Arg_0 ]
n_eval_foo_bb4_in___5 [18*Arg_1-Arg_0 ]
n_eval_foo_bb1_in___4 [19-Arg_0 ]

MPRF for transition 38:n_eval_foo_bb2_in___7(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb3_in___6(Arg_0,Arg_1,Arg_2):|:Arg_2<=10 && Arg_2<=9+Arg_1 && Arg_1+Arg_2<=18 && Arg_2<=Arg_0 && Arg_0+Arg_2<=20 && Arg_1<=8 && Arg_0+Arg_1<=18 && 1<=Arg_1 && Arg_0<=9+Arg_1 && Arg_0<=10 && 1<Arg_1 of depth 1:

new bound:

7*Arg_2+98 {O(n)}

MPRF:

n_eval_foo_bb2_in___12 [88-7*Arg_0-Arg_1 ]
n_eval_foo_bb3_in___10 [88-7*Arg_0-Arg_1 ]
n_eval_foo_bb2_in___9 [78-7*Arg_0 ]
n_eval_foo_bb3_in___6 [Arg_1+69-7*Arg_0 ]
n_eval_foo_bb3_in___8 [Arg_1+69-7*Arg_0 ]
n_eval_foo_bb2_in___7 [Arg_1+70-7*Arg_0 ]
n_eval_foo_bb4_in___5 [Arg_1+70-7*Arg_0 ]
n_eval_foo_bb1_in___4 [Arg_1+77-7*Arg_0 ]

MPRF for transition 39:n_eval_foo_bb2_in___7(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb4_in___5(Arg_0,Arg_1,Arg_2):|:Arg_2<=10 && Arg_2<=9+Arg_1 && Arg_1+Arg_2<=18 && Arg_2<=Arg_0 && Arg_0+Arg_2<=20 && Arg_1<=8 && Arg_0+Arg_1<=18 && 1<=Arg_1 && Arg_0<=9+Arg_1 && Arg_0<=10 && Arg_1<=1 of depth 1:

new bound:

Arg_2+90 {O(n)}

MPRF:

n_eval_foo_bb2_in___12 [9*Arg_1-Arg_0 ]
n_eval_foo_bb3_in___10 [9*Arg_1-Arg_0 ]
n_eval_foo_bb2_in___9 [90-Arg_0 ]
n_eval_foo_bb3_in___6 [90-Arg_0 ]
n_eval_foo_bb3_in___8 [10*Arg_1-Arg_0 ]
n_eval_foo_bb2_in___7 [90-Arg_0 ]
n_eval_foo_bb4_in___5 [89-Arg_0 ]
n_eval_foo_bb1_in___4 [90-Arg_0 ]

MPRF for transition 40:n_eval_foo_bb2_in___9(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb3_in___8(Arg_0,Arg_1,Arg_2):|:Arg_2<=10 && Arg_2<=1+Arg_1 && Arg_1+Arg_2<=19 && Arg_2<=Arg_0 && Arg_0+Arg_2<=20 && Arg_1<=9 && Arg_0+Arg_1<=19 && 9<=Arg_1 && Arg_0<=1+Arg_1 && Arg_0<=10 && 1<Arg_1 && 2<=Arg_1 && 1<Arg_1 of depth 1:

new bound:

Arg_2+20 {O(n)}

MPRF:

n_eval_foo_bb2_in___12 [2*Arg_1-Arg_0 ]
n_eval_foo_bb3_in___10 [Arg_1+10-Arg_0 ]
n_eval_foo_bb2_in___9 [20-Arg_0 ]
n_eval_foo_bb3_in___6 [19-Arg_0 ]
n_eval_foo_bb3_in___8 [19-Arg_0 ]
n_eval_foo_bb2_in___7 [19-Arg_0 ]
n_eval_foo_bb4_in___5 [19-Arg_0 ]
n_eval_foo_bb1_in___4 [20-Arg_0 ]

MPRF for transition 41:n_eval_foo_bb3_in___10(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb2_in___9(Arg_0,Arg_1-1,Arg_2):|:Arg_2<=10 && Arg_2<=Arg_1 && Arg_1+Arg_2<=20 && Arg_2<=Arg_0 && Arg_0+Arg_2<=20 && Arg_1<=10 && Arg_0+Arg_1<=20 && 10<=Arg_1 && Arg_0<=Arg_1 && Arg_0<=10 && Arg_0<=10 && Arg_1<=10 && 10<=Arg_1 of depth 1:

new bound:

Arg_2+19 {O(n)}

MPRF:

n_eval_foo_bb2_in___12 [19-Arg_0 ]
n_eval_foo_bb3_in___10 [19-Arg_0 ]
n_eval_foo_bb2_in___9 [18-Arg_0 ]
n_eval_foo_bb3_in___6 [18-Arg_0 ]
n_eval_foo_bb3_in___8 [2*Arg_1-Arg_0 ]
n_eval_foo_bb2_in___7 [18-Arg_0 ]
n_eval_foo_bb4_in___5 [18*Arg_1-Arg_0 ]
n_eval_foo_bb1_in___4 [19-Arg_0 ]

MPRF for transition 42:n_eval_foo_bb3_in___6(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb2_in___7(Arg_0,Arg_1-1,Arg_2):|:Arg_2<=10 && Arg_2<=8+Arg_1 && Arg_1+Arg_2<=18 && Arg_2<=Arg_0 && Arg_0+Arg_2<=20 && Arg_1<=8 && Arg_0+Arg_1<=18 && 2<=Arg_1 && Arg_0<=8+Arg_1 && Arg_0<=10 && 1<Arg_1 of depth 1:

new bound:

35*Arg_2+390 {O(n)}

MPRF:

n_eval_foo_bb2_in___12 [390-35*Arg_0 ]
n_eval_foo_bb3_in___10 [39*Arg_1-35*Arg_0 ]
n_eval_foo_bb2_in___9 [390-35*Arg_0 ]
n_eval_foo_bb3_in___6 [5*Arg_1+350-35*Arg_0 ]
n_eval_foo_bb3_in___8 [390-35*Arg_0 ]
n_eval_foo_bb2_in___7 [5*Arg_1+350-35*Arg_0 ]
n_eval_foo_bb4_in___5 [355*Arg_1-35*Arg_0 ]
n_eval_foo_bb1_in___4 [390-35*Arg_0 ]

MPRF for transition 43:n_eval_foo_bb3_in___8(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb2_in___7(Arg_0,Arg_1-1,Arg_2):|:Arg_2<=10 && Arg_2<=1+Arg_1 && Arg_1+Arg_2<=19 && Arg_2<=Arg_0 && Arg_0+Arg_2<=20 && Arg_1<=9 && Arg_0+Arg_1<=19 && 9<=Arg_1 && Arg_0<=1+Arg_1 && Arg_0<=10 && 2<=Arg_1 of depth 1:

new bound:

Arg_2+20 {O(n)}

MPRF:

n_eval_foo_bb2_in___12 [2*Arg_1-Arg_0 ]
n_eval_foo_bb3_in___10 [2*Arg_1-Arg_0 ]
n_eval_foo_bb2_in___9 [20-Arg_0 ]
n_eval_foo_bb3_in___6 [19-Arg_0 ]
n_eval_foo_bb3_in___8 [20-Arg_0 ]
n_eval_foo_bb2_in___7 [19-Arg_0 ]
n_eval_foo_bb4_in___5 [19-Arg_0 ]
n_eval_foo_bb1_in___4 [20-Arg_0 ]

MPRF for transition 44:n_eval_foo_bb4_in___5(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb1_in___4(Arg_0+1,Arg_1,Arg_2):|:Arg_2<=10 && Arg_2<=9+Arg_1 && Arg_1+Arg_2<=11 && Arg_2<=Arg_0 && Arg_0+Arg_2<=20 && Arg_1<=1 && Arg_0+Arg_1<=11 && 1<=Arg_1 && Arg_0<=9+Arg_1 && Arg_0<=10 && Arg_1<=1 of depth 1:

new bound:

Arg_2+20 {O(n)}

MPRF:

n_eval_foo_bb2_in___12 [20-Arg_0 ]
n_eval_foo_bb3_in___10 [2*Arg_1-Arg_0 ]
n_eval_foo_bb2_in___9 [20-Arg_0 ]
n_eval_foo_bb3_in___6 [20-Arg_0 ]
n_eval_foo_bb3_in___8 [20-Arg_0 ]
n_eval_foo_bb2_in___7 [20-Arg_0 ]
n_eval_foo_bb4_in___5 [20-Arg_0 ]
n_eval_foo_bb1_in___4 [20-Arg_0 ]

All Bounds

Timebounds

Overall timebound:57*Arg_2+782 {O(n)}
32: n_eval_foo_bb0_in___14->n_eval_foo_bb1_in___13: 1 {O(1)}
33: n_eval_foo_bb1_in___13->n_eval_foo_bb2_in___12: 1 {O(1)}
34: n_eval_foo_bb1_in___13->n_eval_foo_bb5_in___11: 1 {O(1)}
35: n_eval_foo_bb1_in___4->n_eval_foo_bb2_in___12: 9*Arg_2+99 {O(n)}
36: n_eval_foo_bb1_in___4->n_eval_foo_bb5_in___3: 1 {O(1)}
37: n_eval_foo_bb2_in___12->n_eval_foo_bb3_in___10: Arg_2+19 {O(n)}
38: n_eval_foo_bb2_in___7->n_eval_foo_bb3_in___6: 7*Arg_2+98 {O(n)}
39: n_eval_foo_bb2_in___7->n_eval_foo_bb4_in___5: Arg_2+90 {O(n)}
40: n_eval_foo_bb2_in___9->n_eval_foo_bb3_in___8: Arg_2+20 {O(n)}
41: n_eval_foo_bb3_in___10->n_eval_foo_bb2_in___9: Arg_2+19 {O(n)}
42: n_eval_foo_bb3_in___6->n_eval_foo_bb2_in___7: 35*Arg_2+390 {O(n)}
43: n_eval_foo_bb3_in___8->n_eval_foo_bb2_in___7: Arg_2+20 {O(n)}
44: n_eval_foo_bb4_in___5->n_eval_foo_bb1_in___4: Arg_2+20 {O(n)}
45: n_eval_foo_bb5_in___11->n_eval_foo_stop___1: 1 {O(1)}
46: n_eval_foo_bb5_in___3->n_eval_foo_stop___2: 1 {O(1)}
47: n_eval_foo_start->n_eval_foo_bb0_in___14: 1 {O(1)}

Costbounds

Overall costbound: 57*Arg_2+782 {O(n)}
32: n_eval_foo_bb0_in___14->n_eval_foo_bb1_in___13: 1 {O(1)}
33: n_eval_foo_bb1_in___13->n_eval_foo_bb2_in___12: 1 {O(1)}
34: n_eval_foo_bb1_in___13->n_eval_foo_bb5_in___11: 1 {O(1)}
35: n_eval_foo_bb1_in___4->n_eval_foo_bb2_in___12: 9*Arg_2+99 {O(n)}
36: n_eval_foo_bb1_in___4->n_eval_foo_bb5_in___3: 1 {O(1)}
37: n_eval_foo_bb2_in___12->n_eval_foo_bb3_in___10: Arg_2+19 {O(n)}
38: n_eval_foo_bb2_in___7->n_eval_foo_bb3_in___6: 7*Arg_2+98 {O(n)}
39: n_eval_foo_bb2_in___7->n_eval_foo_bb4_in___5: Arg_2+90 {O(n)}
40: n_eval_foo_bb2_in___9->n_eval_foo_bb3_in___8: Arg_2+20 {O(n)}
41: n_eval_foo_bb3_in___10->n_eval_foo_bb2_in___9: Arg_2+19 {O(n)}
42: n_eval_foo_bb3_in___6->n_eval_foo_bb2_in___7: 35*Arg_2+390 {O(n)}
43: n_eval_foo_bb3_in___8->n_eval_foo_bb2_in___7: Arg_2+20 {O(n)}
44: n_eval_foo_bb4_in___5->n_eval_foo_bb1_in___4: Arg_2+20 {O(n)}
45: n_eval_foo_bb5_in___11->n_eval_foo_stop___1: 1 {O(1)}
46: n_eval_foo_bb5_in___3->n_eval_foo_stop___2: 1 {O(1)}
47: n_eval_foo_start->n_eval_foo_bb0_in___14: 1 {O(1)}

Sizebounds

32: n_eval_foo_bb0_in___14->n_eval_foo_bb1_in___13, Arg_0: Arg_2 {O(n)}
32: n_eval_foo_bb0_in___14->n_eval_foo_bb1_in___13, Arg_1: Arg_1 {O(n)}
32: n_eval_foo_bb0_in___14->n_eval_foo_bb1_in___13, Arg_2: Arg_2 {O(n)}
33: n_eval_foo_bb1_in___13->n_eval_foo_bb2_in___12, Arg_0: Arg_2 {O(n)}
33: n_eval_foo_bb1_in___13->n_eval_foo_bb2_in___12, Arg_1: 10 {O(1)}
33: n_eval_foo_bb1_in___13->n_eval_foo_bb2_in___12, Arg_2: Arg_2 {O(n)}
34: n_eval_foo_bb1_in___13->n_eval_foo_bb5_in___11, Arg_0: Arg_2 {O(n)}
34: n_eval_foo_bb1_in___13->n_eval_foo_bb5_in___11, Arg_1: Arg_1 {O(n)}
34: n_eval_foo_bb1_in___13->n_eval_foo_bb5_in___11, Arg_2: Arg_2 {O(n)}
35: n_eval_foo_bb1_in___4->n_eval_foo_bb2_in___12, Arg_0: 2*Arg_2+20 {O(n)}
35: n_eval_foo_bb1_in___4->n_eval_foo_bb2_in___12, Arg_1: 10 {O(1)}
35: n_eval_foo_bb1_in___4->n_eval_foo_bb2_in___12, Arg_2: Arg_2 {O(n)}
36: n_eval_foo_bb1_in___4->n_eval_foo_bb5_in___3, Arg_0: 11 {O(1)}
36: n_eval_foo_bb1_in___4->n_eval_foo_bb5_in___3, Arg_1: 1 {O(1)}
36: n_eval_foo_bb1_in___4->n_eval_foo_bb5_in___3, Arg_2: Arg_2 {O(n)}
37: n_eval_foo_bb2_in___12->n_eval_foo_bb3_in___10, Arg_0: 2*Arg_2+20 {O(n)}
37: n_eval_foo_bb2_in___12->n_eval_foo_bb3_in___10, Arg_1: 10 {O(1)}
37: n_eval_foo_bb2_in___12->n_eval_foo_bb3_in___10, Arg_2: Arg_2 {O(n)}
38: n_eval_foo_bb2_in___7->n_eval_foo_bb3_in___6, Arg_0: 2*Arg_2+20 {O(n)}
38: n_eval_foo_bb2_in___7->n_eval_foo_bb3_in___6, Arg_1: 8 {O(1)}
38: n_eval_foo_bb2_in___7->n_eval_foo_bb3_in___6, Arg_2: Arg_2 {O(n)}
39: n_eval_foo_bb2_in___7->n_eval_foo_bb4_in___5, Arg_0: 2*Arg_2+20 {O(n)}
39: n_eval_foo_bb2_in___7->n_eval_foo_bb4_in___5, Arg_1: 1 {O(1)}
39: n_eval_foo_bb2_in___7->n_eval_foo_bb4_in___5, Arg_2: Arg_2 {O(n)}
40: n_eval_foo_bb2_in___9->n_eval_foo_bb3_in___8, Arg_0: 2*Arg_2+20 {O(n)}
40: n_eval_foo_bb2_in___9->n_eval_foo_bb3_in___8, Arg_1: 9 {O(1)}
40: n_eval_foo_bb2_in___9->n_eval_foo_bb3_in___8, Arg_2: Arg_2 {O(n)}
41: n_eval_foo_bb3_in___10->n_eval_foo_bb2_in___9, Arg_0: 2*Arg_2+20 {O(n)}
41: n_eval_foo_bb3_in___10->n_eval_foo_bb2_in___9, Arg_1: 9 {O(1)}
41: n_eval_foo_bb3_in___10->n_eval_foo_bb2_in___9, Arg_2: Arg_2 {O(n)}
42: n_eval_foo_bb3_in___6->n_eval_foo_bb2_in___7, Arg_0: 2*Arg_2+20 {O(n)}
42: n_eval_foo_bb3_in___6->n_eval_foo_bb2_in___7, Arg_1: 7 {O(1)}
42: n_eval_foo_bb3_in___6->n_eval_foo_bb2_in___7, Arg_2: Arg_2 {O(n)}
43: n_eval_foo_bb3_in___8->n_eval_foo_bb2_in___7, Arg_0: 2*Arg_2+20 {O(n)}
43: n_eval_foo_bb3_in___8->n_eval_foo_bb2_in___7, Arg_1: 8 {O(1)}
43: n_eval_foo_bb3_in___8->n_eval_foo_bb2_in___7, Arg_2: Arg_2 {O(n)}
44: n_eval_foo_bb4_in___5->n_eval_foo_bb1_in___4, Arg_0: 2*Arg_2+20 {O(n)}
44: n_eval_foo_bb4_in___5->n_eval_foo_bb1_in___4, Arg_1: 1 {O(1)}
44: n_eval_foo_bb4_in___5->n_eval_foo_bb1_in___4, Arg_2: Arg_2 {O(n)}
45: n_eval_foo_bb5_in___11->n_eval_foo_stop___1, Arg_0: Arg_2 {O(n)}
45: n_eval_foo_bb5_in___11->n_eval_foo_stop___1, Arg_1: Arg_1 {O(n)}
45: n_eval_foo_bb5_in___11->n_eval_foo_stop___1, Arg_2: Arg_2 {O(n)}
46: n_eval_foo_bb5_in___3->n_eval_foo_stop___2, Arg_0: 11 {O(1)}
46: n_eval_foo_bb5_in___3->n_eval_foo_stop___2, Arg_1: 1 {O(1)}
46: n_eval_foo_bb5_in___3->n_eval_foo_stop___2, Arg_2: Arg_2 {O(n)}
47: n_eval_foo_start->n_eval_foo_bb0_in___14, Arg_0: Arg_0 {O(n)}
47: n_eval_foo_start->n_eval_foo_bb0_in___14, Arg_1: Arg_1 {O(n)}
47: n_eval_foo_start->n_eval_foo_bb0_in___14, Arg_2: Arg_2 {O(n)}