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_0,1000,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_0,1000,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<=1000 && 1000<=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<=1000 && 1000<=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<=1008 && Arg_2<=Arg_0 && Arg_0+Arg_2<=20 && Arg_1<=998 && Arg_0+Arg_1<=1008 && 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<=1008 && Arg_2<=Arg_0 && Arg_0+Arg_2<=20 && Arg_1<=998 && Arg_0+Arg_1<=1008 && 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 && 990+Arg_2<=Arg_1 && Arg_1+Arg_2<=1010 && Arg_2<=Arg_0 && Arg_0+Arg_2<=20 && Arg_1<=1000 && Arg_0+Arg_1<=1010 && 1000<=Arg_1 && 990+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 && 990+Arg_2<=Arg_1 && Arg_1+Arg_2<=1010 && Arg_2<=Arg_0 && Arg_0+Arg_2<=20 && Arg_1<=1000 && Arg_0+Arg_1<=1010 && 1000<=Arg_1 && 990+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 && 989+Arg_2<=Arg_1 && Arg_1+Arg_2<=1009 && Arg_2<=Arg_0 && Arg_0+Arg_2<=20 && Arg_1<=999 && Arg_0+Arg_1<=1009 && 999<=Arg_1 && 989+Arg_0<=Arg_1 && Arg_0<=10 for location n_eval_foo_bb3_in___8

Found invariant Arg_2<=10 && 989+Arg_2<=Arg_1 && Arg_1+Arg_2<=1009 && Arg_2<=Arg_0 && Arg_0+Arg_2<=20 && Arg_1<=999 && Arg_0+Arg_1<=1009 && 999<=Arg_1 && 989+Arg_0<=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_0,1000,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_0,1000,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 && 990+Arg_2<=Arg_1 && Arg_1+Arg_2<=1010 && Arg_2<=Arg_0 && Arg_0+Arg_2<=20 && Arg_1<=1000 && Arg_0+Arg_1<=1010 && 1000<=Arg_1 && 990+Arg_0<=Arg_1 && Arg_0<=10 && 1<Arg_1 && Arg_1<=1000 && 1000<=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<=1008 && Arg_2<=Arg_0 && Arg_0+Arg_2<=20 && Arg_1<=998 && Arg_0+Arg_1<=1008 && 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<=1008 && Arg_2<=Arg_0 && Arg_0+Arg_2<=20 && Arg_1<=998 && Arg_0+Arg_1<=1008 && 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 && 989+Arg_2<=Arg_1 && Arg_1+Arg_2<=1009 && Arg_2<=Arg_0 && Arg_0+Arg_2<=20 && Arg_1<=999 && Arg_0+Arg_1<=1009 && 999<=Arg_1 && 989+Arg_0<=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 && 990+Arg_2<=Arg_1 && Arg_1+Arg_2<=1010 && Arg_2<=Arg_0 && Arg_0+Arg_2<=20 && Arg_1<=1000 && Arg_0+Arg_1<=1010 && 1000<=Arg_1 && 990+Arg_0<=Arg_1 && Arg_0<=10 && Arg_0<=10 && Arg_1<=1000 && 1000<=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<=1008 && Arg_2<=Arg_0 && Arg_0+Arg_2<=20 && Arg_1<=998 && Arg_0+Arg_1<=1008 && 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 && 989+Arg_2<=Arg_1 && Arg_1+Arg_2<=1009 && Arg_2<=Arg_0 && Arg_0+Arg_2<=20 && Arg_1<=999 && Arg_0+Arg_1<=1009 && 999<=Arg_1 && 989+Arg_0<=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_0,1000,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:

111*Arg_2+1998 {O(n)}

MPRF:

n_eval_foo_bb2_in___12 [1998-111*Arg_0 ]
n_eval_foo_bb3_in___10 [1998-111*Arg_0 ]
n_eval_foo_bb2_in___9 [1998-111*Arg_0 ]
n_eval_foo_bb3_in___6 [1998-111*Arg_0 ]
n_eval_foo_bb3_in___8 [2*Arg_1-111*Arg_0 ]
n_eval_foo_bb2_in___7 [1998-111*Arg_0 ]
n_eval_foo_bb4_in___5 [1998*Arg_1-111*Arg_0 ]
n_eval_foo_bb1_in___4 [2109-111*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 && 990+Arg_2<=Arg_1 && Arg_1+Arg_2<=1010 && Arg_2<=Arg_0 && Arg_0+Arg_2<=20 && Arg_1<=1000 && Arg_0+Arg_1<=1010 && 1000<=Arg_1 && 990+Arg_0<=Arg_1 && Arg_0<=10 && 1<Arg_1 && Arg_1<=1000 && 1000<=Arg_1 && Arg_0<=10 && 2<=Arg_1 && 1<Arg_1 of depth 1:

new bound:

111*Arg_2+2109 {O(n)}

MPRF:

n_eval_foo_bb2_in___12 [2109-111*Arg_0 ]
n_eval_foo_bb3_in___10 [1998-111*Arg_0 ]
n_eval_foo_bb2_in___9 [2*Arg_1-111*Arg_0 ]
n_eval_foo_bb3_in___6 [1998-111*Arg_0 ]
n_eval_foo_bb3_in___8 [1998-111*Arg_0 ]
n_eval_foo_bb2_in___7 [1998-111*Arg_0 ]
n_eval_foo_bb4_in___5 [1998-111*Arg_0 ]
n_eval_foo_bb1_in___4 [2109-111*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<=1008 && Arg_2<=Arg_0 && Arg_0+Arg_2<=20 && Arg_1<=998 && Arg_0+Arg_1<=1008 && 1<=Arg_1 && Arg_0<=9+Arg_1 && Arg_0<=10 && 1<Arg_1 of depth 1:

new bound:

997*Arg_2+10968 {O(n)}

MPRF:

n_eval_foo_bb2_in___12 [10968-997*Arg_0 ]
n_eval_foo_bb3_in___10 [10968-997*Arg_0 ]
n_eval_foo_bb2_in___9 [10968-997*Arg_0 ]
n_eval_foo_bb3_in___6 [Arg_1+9969-997*Arg_0 ]
n_eval_foo_bb3_in___8 [Arg_1+9969-997*Arg_0 ]
n_eval_foo_bb2_in___7 [Arg_1+9970-997*Arg_0 ]
n_eval_foo_bb4_in___5 [Arg_1+9970-997*Arg_0 ]
n_eval_foo_bb1_in___4 [10968-997*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<=1008 && Arg_2<=Arg_0 && Arg_0+Arg_2<=20 && Arg_1<=998 && Arg_0+Arg_1<=1008 && 1<=Arg_1 && Arg_0<=9+Arg_1 && Arg_0<=10 && Arg_1<=1 of depth 1:

new bound:

Arg_2+999 {O(n)}

MPRF:

n_eval_foo_bb2_in___12 [999-Arg_0 ]
n_eval_foo_bb3_in___10 [999-Arg_0 ]
n_eval_foo_bb2_in___9 [999-Arg_0 ]
n_eval_foo_bb3_in___6 [999-Arg_0 ]
n_eval_foo_bb3_in___8 [Arg_1-Arg_0 ]
n_eval_foo_bb2_in___7 [999-Arg_0 ]
n_eval_foo_bb4_in___5 [998-Arg_0 ]
n_eval_foo_bb1_in___4 [999-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 && 989+Arg_2<=Arg_1 && Arg_1+Arg_2<=1009 && Arg_2<=Arg_0 && Arg_0+Arg_2<=20 && Arg_1<=999 && Arg_0+Arg_1<=1009 && 999<=Arg_1 && 989+Arg_0<=Arg_1 && Arg_0<=10 && 1<Arg_1 && 2<=Arg_1 && 1<Arg_1 of depth 1:

new bound:

100*Arg_2+2000 {O(n)}

MPRF:

n_eval_foo_bb2_in___12 [2*Arg_1-100*Arg_0 ]
n_eval_foo_bb3_in___10 [2*Arg_1-100*Arg_0 ]
n_eval_foo_bb2_in___9 [2000-100*Arg_0 ]
n_eval_foo_bb3_in___6 [1900-100*Arg_0 ]
n_eval_foo_bb3_in___8 [1900-100*Arg_0 ]
n_eval_foo_bb2_in___7 [1900-100*Arg_0 ]
n_eval_foo_bb4_in___5 [1900-100*Arg_0 ]
n_eval_foo_bb1_in___4 [2000-100*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 && 990+Arg_2<=Arg_1 && Arg_1+Arg_2<=1010 && Arg_2<=Arg_0 && Arg_0+Arg_2<=20 && Arg_1<=1000 && Arg_0+Arg_1<=1010 && 1000<=Arg_1 && 990+Arg_0<=Arg_1 && Arg_0<=10 && Arg_0<=10 && Arg_1<=1000 && 1000<=Arg_1 of depth 1:

new bound:

Arg_2+11 {O(n)}

MPRF:

n_eval_foo_bb2_in___12 [11-Arg_0 ]
n_eval_foo_bb3_in___10 [11-Arg_0 ]
n_eval_foo_bb2_in___9 [10-Arg_0 ]
n_eval_foo_bb3_in___6 [10-Arg_0 ]
n_eval_foo_bb3_in___8 [10-Arg_0 ]
n_eval_foo_bb2_in___7 [10-Arg_0 ]
n_eval_foo_bb4_in___5 [10-Arg_0 ]
n_eval_foo_bb1_in___4 [11-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<=1008 && Arg_2<=Arg_0 && Arg_0+Arg_2<=20 && Arg_1<=998 && Arg_0+Arg_1<=1008 && 2<=Arg_1 && Arg_0<=8+Arg_1 && Arg_0<=10 && 1<Arg_1 of depth 1:

new bound:

997*Arg_2+997000 {O(n)}

MPRF:

n_eval_foo_bb2_in___12 [997000-997*Arg_0 ]
n_eval_foo_bb3_in___10 [997*Arg_1-997*Arg_0 ]
n_eval_foo_bb2_in___9 [997000-997*Arg_0 ]
n_eval_foo_bb3_in___6 [Arg_1+996002-997*Arg_0 ]
n_eval_foo_bb3_in___8 [1000*Arg_1-997*Arg_0-2000 ]
n_eval_foo_bb2_in___7 [Arg_1+996002-997*Arg_0 ]
n_eval_foo_bb4_in___5 [996003*Arg_1-997*Arg_0 ]
n_eval_foo_bb1_in___4 [997000-997*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 && 989+Arg_2<=Arg_1 && Arg_1+Arg_2<=1009 && Arg_2<=Arg_0 && Arg_0+Arg_2<=20 && Arg_1<=999 && Arg_0+Arg_1<=1009 && 999<=Arg_1 && 989+Arg_0<=Arg_1 && Arg_0<=10 && 2<=Arg_1 of depth 1:

new bound:

100*Arg_2+2000 {O(n)}

MPRF:

n_eval_foo_bb2_in___12 [2*Arg_1-100*Arg_0 ]
n_eval_foo_bb3_in___10 [2*Arg_1-100*Arg_0 ]
n_eval_foo_bb2_in___9 [2000-100*Arg_0 ]
n_eval_foo_bb3_in___6 [1900-100*Arg_0 ]
n_eval_foo_bb3_in___8 [2000-100*Arg_0 ]
n_eval_foo_bb2_in___7 [1900-100*Arg_0 ]
n_eval_foo_bb4_in___5 [1900*Arg_1-100*Arg_0 ]
n_eval_foo_bb1_in___4 [2000-100*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:

100*Arg_2+2000 {O(n)}

MPRF:

n_eval_foo_bb2_in___12 [2*Arg_1-100*Arg_0 ]
n_eval_foo_bb3_in___10 [2*Arg_1-100*Arg_0 ]
n_eval_foo_bb2_in___9 [2000-100*Arg_0 ]
n_eval_foo_bb3_in___6 [2000-100*Arg_0 ]
n_eval_foo_bb3_in___8 [2000-100*Arg_0 ]
n_eval_foo_bb2_in___7 [2000-100*Arg_0 ]
n_eval_foo_bb4_in___5 [2000-100*Arg_0 ]
n_eval_foo_bb1_in___4 [2000-100*Arg_0 ]

All Bounds

Timebounds

Overall timebound:2518*Arg_2+1019092 {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: 111*Arg_2+1998 {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: 111*Arg_2+2109 {O(n)}
38: n_eval_foo_bb2_in___7->n_eval_foo_bb3_in___6: 997*Arg_2+10968 {O(n)}
39: n_eval_foo_bb2_in___7->n_eval_foo_bb4_in___5: Arg_2+999 {O(n)}
40: n_eval_foo_bb2_in___9->n_eval_foo_bb3_in___8: 100*Arg_2+2000 {O(n)}
41: n_eval_foo_bb3_in___10->n_eval_foo_bb2_in___9: Arg_2+11 {O(n)}
42: n_eval_foo_bb3_in___6->n_eval_foo_bb2_in___7: 997*Arg_2+997000 {O(n)}
43: n_eval_foo_bb3_in___8->n_eval_foo_bb2_in___7: 100*Arg_2+2000 {O(n)}
44: n_eval_foo_bb4_in___5->n_eval_foo_bb1_in___4: 100*Arg_2+2000 {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: 2518*Arg_2+1019092 {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: 111*Arg_2+1998 {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: 111*Arg_2+2109 {O(n)}
38: n_eval_foo_bb2_in___7->n_eval_foo_bb3_in___6: 997*Arg_2+10968 {O(n)}
39: n_eval_foo_bb2_in___7->n_eval_foo_bb4_in___5: Arg_2+999 {O(n)}
40: n_eval_foo_bb2_in___9->n_eval_foo_bb3_in___8: 100*Arg_2+2000 {O(n)}
41: n_eval_foo_bb3_in___10->n_eval_foo_bb2_in___9: Arg_2+11 {O(n)}
42: n_eval_foo_bb3_in___6->n_eval_foo_bb2_in___7: 997*Arg_2+997000 {O(n)}
43: n_eval_foo_bb3_in___8->n_eval_foo_bb2_in___7: 100*Arg_2+2000 {O(n)}
44: n_eval_foo_bb4_in___5->n_eval_foo_bb1_in___4: 100*Arg_2+2000 {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: 1000 {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: 101*Arg_2+2000 {O(n)}
35: n_eval_foo_bb1_in___4->n_eval_foo_bb2_in___12, Arg_1: 1000 {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: 101*Arg_2+2000 {O(n)}
37: n_eval_foo_bb2_in___12->n_eval_foo_bb3_in___10, Arg_1: 1000 {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: 101*Arg_2+2000 {O(n)}
38: n_eval_foo_bb2_in___7->n_eval_foo_bb3_in___6, Arg_1: 998 {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: 101*Arg_2+2000 {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: 101*Arg_2+2000 {O(n)}
40: n_eval_foo_bb2_in___9->n_eval_foo_bb3_in___8, Arg_1: 999 {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: 101*Arg_2+2000 {O(n)}
41: n_eval_foo_bb3_in___10->n_eval_foo_bb2_in___9, Arg_1: 999 {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: 101*Arg_2+2000 {O(n)}
42: n_eval_foo_bb3_in___6->n_eval_foo_bb2_in___7, Arg_1: 997 {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: 101*Arg_2+2000 {O(n)}
43: n_eval_foo_bb3_in___8->n_eval_foo_bb2_in___7, Arg_1: 998 {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: 101*Arg_2+2000 {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)}