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___16, n_eval_foo_bb1_in___11, n_eval_foo_bb1_in___15, n_eval_foo_bb1_in___4, n_eval_foo_bb1_in___8, n_eval_foo_bb2_in___14, n_eval_foo_bb2_in___3, n_eval_foo_bb2_in___7, n_eval_foo_bb3_in___13, n_eval_foo_bb3_in___2, n_eval_foo_bb3_in___6, n_eval_foo_bb4_in___1, n_eval_foo_bb4_in___12, n_eval_foo_bb4_in___5, n_eval_foo_bb5_in___10, n_eval_foo_start, n_eval_foo_stop___9
Transitions:
0:n_eval_foo_bb0_in___16(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb1_in___15(Arg_3,1,Arg_2,Arg_3)
1:n_eval_foo_bb1_in___11(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb5_in___10(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=0 && Arg_1<=0
2:n_eval_foo_bb1_in___15(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb2_in___14(Arg_0,Arg_1,Arg_2,Arg_3):|:0<Arg_1 && Arg_1<=1 && 1<=Arg_1 && Arg_0<=Arg_3 && Arg_3<=Arg_0 && 1<=Arg_1 && 0<Arg_1
3:n_eval_foo_bb1_in___4(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb2_in___3(Arg_0,Arg_1,Arg_2,Arg_3):|:0<Arg_1
4:n_eval_foo_bb1_in___4(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb5_in___10(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=0
5:n_eval_foo_bb1_in___8(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb2_in___7(Arg_0,Arg_1,Arg_2,Arg_3):|:0<Arg_1 && 1<=Arg_1 && 0<Arg_1
6:n_eval_foo_bb2_in___14(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb3_in___13(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_0<=Arg_3 && Arg_3<=Arg_0 && Arg_1<=1 && 1<=Arg_1 && 100<Arg_0
7:n_eval_foo_bb2_in___14(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb4_in___12(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_0<=Arg_3 && Arg_3<=Arg_0 && Arg_1<=1 && 1<=Arg_1 && Arg_0<=100
8:n_eval_foo_bb2_in___3(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb3_in___2(Arg_0,Arg_1,Arg_2,Arg_3):|:0<Arg_1 && 100<Arg_0
9:n_eval_foo_bb2_in___3(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb4_in___1(Arg_0,Arg_1,Arg_2,Arg_3):|:0<Arg_1 && Arg_0<=100
10: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 && 100<Arg_0
11: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):|:1<=Arg_1 && Arg_0<=100
12:n_eval_foo_bb3_in___13(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb1_in___11(Arg_0-10,Arg_1-1,Arg_2,Arg_3):|:100<Arg_0 && Arg_0<=Arg_3 && Arg_3<=Arg_0 && Arg_1<=1 && 1<=Arg_1
13:n_eval_foo_bb3_in___2(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb1_in___4(Arg_0-10,Arg_1-1,Arg_2,Arg_3):|:0<Arg_1 && 100<Arg_0
14:n_eval_foo_bb3_in___6(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb1_in___4(Arg_0-10,Arg_1-1,Arg_2,Arg_3):|:1<=Arg_1 && 100<Arg_0
15:n_eval_foo_bb4_in___1(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb1_in___8(Arg_0+11,Arg_1+1,Arg_2,Arg_3):|:Arg_0<=100 && 0<Arg_1
16:n_eval_foo_bb4_in___12(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb1_in___8(Arg_0+11,Arg_1+1,Arg_2,Arg_3):|:Arg_0<=100 && Arg_0<=Arg_3 && Arg_3<=Arg_0 && Arg_1<=1 && 1<=Arg_1
17:n_eval_foo_bb4_in___5(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb1_in___8(Arg_0+11,Arg_1+1,Arg_2,Arg_3):|:Arg_0<=100 && 1<=Arg_1
18:n_eval_foo_bb5_in___10(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_stop___9(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=0
19:n_eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb0_in___16(Arg_0,Arg_1,Arg_2,Arg_3)

Preprocessing

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

Found invariant Arg_3<=10+Arg_0 && Arg_1<=0 && 91+Arg_1<=Arg_0 && 0<=Arg_1 && 91<=Arg_0+Arg_1 && 91<=Arg_0 for location n_eval_foo_stop___9

Found invariant Arg_3<=Arg_0 && Arg_0<=Arg_3 && Arg_1<=1 && 1<=Arg_1 for location n_eval_foo_bb1_in___15

Found invariant Arg_3<=100 && Arg_3<=98+Arg_1 && 2+Arg_3<=Arg_0 && Arg_0+Arg_3<=211 && 2<=Arg_1 && Arg_0<=109+Arg_1 && Arg_0<=111 for location n_eval_foo_bb2_in___7

Found invariant Arg_3<=100 && Arg_3<=99+Arg_1 && 1+Arg_3<=Arg_0 && Arg_0+Arg_3<=201 && 1<=Arg_1 && 102<=Arg_0+Arg_1 && Arg_0<=100+Arg_1 && Arg_0<=101 && 101<=Arg_0 for location n_eval_foo_bb3_in___2

Found invariant Arg_3<=10+Arg_0 && 101<=Arg_3 && 101<=Arg_1+Arg_3 && 101+Arg_1<=Arg_3 && 192<=Arg_0+Arg_3 && 10+Arg_0<=Arg_3 && Arg_1<=0 && 91+Arg_1<=Arg_0 && 0<=Arg_1 && 91<=Arg_0+Arg_1 && 91<=Arg_0 for location n_eval_foo_bb1_in___11

Found invariant Arg_3<=100 && Arg_3<=100+Arg_1 && Arg_3<=9+Arg_0 && Arg_0+Arg_3<=201 && 0<=Arg_1 && 91<=Arg_0+Arg_1 && Arg_0<=100+Arg_1 && Arg_0<=101 && 91<=Arg_0 for location n_eval_foo_bb1_in___4

Found invariant Arg_3<=100 && Arg_3<=98+Arg_1 && 2+Arg_3<=Arg_0 && Arg_0+Arg_3<=211 && 2<=Arg_1 && 103<=Arg_0+Arg_1 && Arg_0<=109+Arg_1 && Arg_0<=111 && 101<=Arg_0 for location n_eval_foo_bb3_in___6

Found invariant Arg_3<=100 && Arg_3<=99+Arg_1 && Arg_3<=9+Arg_0 && Arg_0+Arg_3<=200 && 1<=Arg_1 && 92<=Arg_0+Arg_1 && Arg_0<=99+Arg_1 && Arg_0<=100 && 91<=Arg_0 for location n_eval_foo_bb4_in___1

Found invariant Arg_3<=100 && Arg_3<=99+Arg_1 && Arg_1+Arg_3<=101 && Arg_3<=Arg_0 && Arg_0+Arg_3<=200 && Arg_0<=Arg_3 && Arg_1<=1 && Arg_0+Arg_1<=101 && 1<=Arg_1 && Arg_0<=99+Arg_1 && Arg_0<=100 for location n_eval_foo_bb4_in___12

Found invariant Arg_3<=Arg_0 && Arg_0<=Arg_3 && Arg_1<=1 && 1<=Arg_1 for location n_eval_foo_bb2_in___14

Found invariant Arg_3<=100 && Arg_3<=98+Arg_1 && 2+Arg_3<=Arg_0 && Arg_0+Arg_3<=211 && 2<=Arg_1 && Arg_0<=109+Arg_1 && Arg_0<=111 for location n_eval_foo_bb1_in___8

Found invariant Arg_3<=100 && Arg_3<=99+Arg_1 && Arg_3<=9+Arg_0 && Arg_0+Arg_3<=201 && 1<=Arg_1 && 92<=Arg_0+Arg_1 && Arg_0<=100+Arg_1 && Arg_0<=101 && 91<=Arg_0 for location n_eval_foo_bb2_in___3

Found invariant Arg_3<=Arg_0 && 101<=Arg_3 && 102<=Arg_1+Arg_3 && 100+Arg_1<=Arg_3 && 202<=Arg_0+Arg_3 && Arg_0<=Arg_3 && Arg_1<=1 && 100+Arg_1<=Arg_0 && 1<=Arg_1 && 102<=Arg_0+Arg_1 && 101<=Arg_0 for location n_eval_foo_bb3_in___13

Found invariant Arg_3<=98 && Arg_3<=96+Arg_1 && 2+Arg_3<=Arg_0 && Arg_0+Arg_3<=198 && 2<=Arg_1 && Arg_0<=98+Arg_1 && Arg_0<=100 for location n_eval_foo_bb4_in___5

Found invariant Arg_3<=10+Arg_0 && Arg_1<=0 && 91+Arg_1<=Arg_0 && 0<=Arg_1 && 91<=Arg_0+Arg_1 && 91<=Arg_0 for location n_eval_foo_bb5_in___10

Problem after Preprocessing

Start: n_eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_3
Temp_Vars:
Locations: n_eval_foo_bb0_in___16, n_eval_foo_bb1_in___11, n_eval_foo_bb1_in___15, n_eval_foo_bb1_in___4, n_eval_foo_bb1_in___8, n_eval_foo_bb2_in___14, n_eval_foo_bb2_in___3, n_eval_foo_bb2_in___7, n_eval_foo_bb3_in___13, n_eval_foo_bb3_in___2, n_eval_foo_bb3_in___6, n_eval_foo_bb4_in___1, n_eval_foo_bb4_in___12, n_eval_foo_bb4_in___5, n_eval_foo_bb5_in___10, n_eval_foo_start, n_eval_foo_stop___9
Transitions:
40:n_eval_foo_bb0_in___16(Arg_0,Arg_1,Arg_3) -> n_eval_foo_bb1_in___15(Arg_3,1,Arg_3)
41:n_eval_foo_bb1_in___11(Arg_0,Arg_1,Arg_3) -> n_eval_foo_bb5_in___10(Arg_0,Arg_1,Arg_3):|:Arg_3<=10+Arg_0 && 101<=Arg_3 && 101<=Arg_1+Arg_3 && 101+Arg_1<=Arg_3 && 192<=Arg_0+Arg_3 && 10+Arg_0<=Arg_3 && Arg_1<=0 && 91+Arg_1<=Arg_0 && 0<=Arg_1 && 91<=Arg_0+Arg_1 && 91<=Arg_0 && Arg_1<=0 && Arg_1<=0
42:n_eval_foo_bb1_in___15(Arg_0,Arg_1,Arg_3) -> n_eval_foo_bb2_in___14(Arg_0,Arg_1,Arg_3):|:Arg_3<=Arg_0 && Arg_0<=Arg_3 && Arg_1<=1 && 1<=Arg_1 && 0<Arg_1 && Arg_1<=1 && 1<=Arg_1 && Arg_0<=Arg_3 && Arg_3<=Arg_0 && 1<=Arg_1 && 0<Arg_1
43:n_eval_foo_bb1_in___4(Arg_0,Arg_1,Arg_3) -> n_eval_foo_bb2_in___3(Arg_0,Arg_1,Arg_3):|:Arg_3<=100 && Arg_3<=100+Arg_1 && Arg_3<=9+Arg_0 && Arg_0+Arg_3<=201 && 0<=Arg_1 && 91<=Arg_0+Arg_1 && Arg_0<=100+Arg_1 && Arg_0<=101 && 91<=Arg_0 && 0<Arg_1
44:n_eval_foo_bb1_in___4(Arg_0,Arg_1,Arg_3) -> n_eval_foo_bb5_in___10(Arg_0,Arg_1,Arg_3):|:Arg_3<=100 && Arg_3<=100+Arg_1 && Arg_3<=9+Arg_0 && Arg_0+Arg_3<=201 && 0<=Arg_1 && 91<=Arg_0+Arg_1 && Arg_0<=100+Arg_1 && Arg_0<=101 && 91<=Arg_0 && Arg_1<=0
45:n_eval_foo_bb1_in___8(Arg_0,Arg_1,Arg_3) -> n_eval_foo_bb2_in___7(Arg_0,Arg_1,Arg_3):|:Arg_3<=100 && Arg_3<=98+Arg_1 && 2+Arg_3<=Arg_0 && Arg_0+Arg_3<=211 && 2<=Arg_1 && Arg_0<=109+Arg_1 && Arg_0<=111 && 0<Arg_1 && 1<=Arg_1 && 0<Arg_1
46:n_eval_foo_bb2_in___14(Arg_0,Arg_1,Arg_3) -> n_eval_foo_bb3_in___13(Arg_0,Arg_1,Arg_3):|:Arg_3<=Arg_0 && Arg_0<=Arg_3 && Arg_1<=1 && 1<=Arg_1 && Arg_0<=Arg_3 && Arg_3<=Arg_0 && Arg_1<=1 && 1<=Arg_1 && 100<Arg_0
47:n_eval_foo_bb2_in___14(Arg_0,Arg_1,Arg_3) -> n_eval_foo_bb4_in___12(Arg_0,Arg_1,Arg_3):|:Arg_3<=Arg_0 && Arg_0<=Arg_3 && Arg_1<=1 && 1<=Arg_1 && Arg_0<=Arg_3 && Arg_3<=Arg_0 && Arg_1<=1 && 1<=Arg_1 && Arg_0<=100
48:n_eval_foo_bb2_in___3(Arg_0,Arg_1,Arg_3) -> n_eval_foo_bb3_in___2(Arg_0,Arg_1,Arg_3):|:Arg_3<=100 && Arg_3<=99+Arg_1 && Arg_3<=9+Arg_0 && Arg_0+Arg_3<=201 && 1<=Arg_1 && 92<=Arg_0+Arg_1 && Arg_0<=100+Arg_1 && Arg_0<=101 && 91<=Arg_0 && 0<Arg_1 && 100<Arg_0
49:n_eval_foo_bb2_in___3(Arg_0,Arg_1,Arg_3) -> n_eval_foo_bb4_in___1(Arg_0,Arg_1,Arg_3):|:Arg_3<=100 && Arg_3<=99+Arg_1 && Arg_3<=9+Arg_0 && Arg_0+Arg_3<=201 && 1<=Arg_1 && 92<=Arg_0+Arg_1 && Arg_0<=100+Arg_1 && Arg_0<=101 && 91<=Arg_0 && 0<Arg_1 && Arg_0<=100
50:n_eval_foo_bb2_in___7(Arg_0,Arg_1,Arg_3) -> n_eval_foo_bb3_in___6(Arg_0,Arg_1,Arg_3):|:Arg_3<=100 && Arg_3<=98+Arg_1 && 2+Arg_3<=Arg_0 && Arg_0+Arg_3<=211 && 2<=Arg_1 && Arg_0<=109+Arg_1 && Arg_0<=111 && 1<=Arg_1 && 100<Arg_0
51:n_eval_foo_bb2_in___7(Arg_0,Arg_1,Arg_3) -> n_eval_foo_bb4_in___5(Arg_0,Arg_1,Arg_3):|:Arg_3<=100 && Arg_3<=98+Arg_1 && 2+Arg_3<=Arg_0 && Arg_0+Arg_3<=211 && 2<=Arg_1 && Arg_0<=109+Arg_1 && Arg_0<=111 && 1<=Arg_1 && Arg_0<=100
52:n_eval_foo_bb3_in___13(Arg_0,Arg_1,Arg_3) -> n_eval_foo_bb1_in___11(Arg_0-10,Arg_1-1,Arg_3):|:Arg_3<=Arg_0 && 101<=Arg_3 && 102<=Arg_1+Arg_3 && 100+Arg_1<=Arg_3 && 202<=Arg_0+Arg_3 && Arg_0<=Arg_3 && Arg_1<=1 && 100+Arg_1<=Arg_0 && 1<=Arg_1 && 102<=Arg_0+Arg_1 && 101<=Arg_0 && 100<Arg_0 && Arg_0<=Arg_3 && Arg_3<=Arg_0 && Arg_1<=1 && 1<=Arg_1
53:n_eval_foo_bb3_in___2(Arg_0,Arg_1,Arg_3) -> n_eval_foo_bb1_in___4(Arg_0-10,Arg_1-1,Arg_3):|:Arg_3<=100 && Arg_3<=99+Arg_1 && 1+Arg_3<=Arg_0 && Arg_0+Arg_3<=201 && 1<=Arg_1 && 102<=Arg_0+Arg_1 && Arg_0<=100+Arg_1 && Arg_0<=101 && 101<=Arg_0 && 0<Arg_1 && 100<Arg_0
54:n_eval_foo_bb3_in___6(Arg_0,Arg_1,Arg_3) -> n_eval_foo_bb1_in___4(Arg_0-10,Arg_1-1,Arg_3):|:Arg_3<=100 && Arg_3<=98+Arg_1 && 2+Arg_3<=Arg_0 && Arg_0+Arg_3<=211 && 2<=Arg_1 && 103<=Arg_0+Arg_1 && Arg_0<=109+Arg_1 && Arg_0<=111 && 101<=Arg_0 && 1<=Arg_1 && 100<Arg_0
55:n_eval_foo_bb4_in___1(Arg_0,Arg_1,Arg_3) -> n_eval_foo_bb1_in___8(Arg_0+11,Arg_1+1,Arg_3):|:Arg_3<=100 && Arg_3<=99+Arg_1 && Arg_3<=9+Arg_0 && Arg_0+Arg_3<=200 && 1<=Arg_1 && 92<=Arg_0+Arg_1 && Arg_0<=99+Arg_1 && Arg_0<=100 && 91<=Arg_0 && Arg_0<=100 && 0<Arg_1
56:n_eval_foo_bb4_in___12(Arg_0,Arg_1,Arg_3) -> n_eval_foo_bb1_in___8(Arg_0+11,Arg_1+1,Arg_3):|:Arg_3<=100 && Arg_3<=99+Arg_1 && Arg_1+Arg_3<=101 && Arg_3<=Arg_0 && Arg_0+Arg_3<=200 && Arg_0<=Arg_3 && Arg_1<=1 && Arg_0+Arg_1<=101 && 1<=Arg_1 && Arg_0<=99+Arg_1 && Arg_0<=100 && Arg_0<=100 && Arg_0<=Arg_3 && Arg_3<=Arg_0 && Arg_1<=1 && 1<=Arg_1
57:n_eval_foo_bb4_in___5(Arg_0,Arg_1,Arg_3) -> n_eval_foo_bb1_in___8(Arg_0+11,Arg_1+1,Arg_3):|:Arg_3<=98 && Arg_3<=96+Arg_1 && 2+Arg_3<=Arg_0 && Arg_0+Arg_3<=198 && 2<=Arg_1 && Arg_0<=98+Arg_1 && Arg_0<=100 && Arg_0<=100 && 1<=Arg_1
58:n_eval_foo_bb5_in___10(Arg_0,Arg_1,Arg_3) -> n_eval_foo_stop___9(Arg_0,Arg_1,Arg_3):|:Arg_3<=10+Arg_0 && Arg_1<=0 && 91+Arg_1<=Arg_0 && 0<=Arg_1 && 91<=Arg_0+Arg_1 && 91<=Arg_0 && Arg_1<=0
59:n_eval_foo_start(Arg_0,Arg_1,Arg_3) -> n_eval_foo_bb0_in___16(Arg_0,Arg_1,Arg_3)

MPRF for transition 43:n_eval_foo_bb1_in___4(Arg_0,Arg_1,Arg_3) -> n_eval_foo_bb2_in___3(Arg_0,Arg_1,Arg_3):|:Arg_3<=100 && Arg_3<=100+Arg_1 && Arg_3<=9+Arg_0 && Arg_0+Arg_3<=201 && 0<=Arg_1 && 91<=Arg_0+Arg_1 && Arg_0<=100+Arg_1 && Arg_0<=101 && 91<=Arg_0 && 0<Arg_1 of depth 1:

new bound:

Arg_3+134 {O(n)}

MPRF:

n_eval_foo_bb2_in___3 [11*Arg_1+101-Arg_0 ]
n_eval_foo_bb2_in___7 [11*Arg_1+101-Arg_0 ]
n_eval_foo_bb3_in___2 [11*Arg_1+101-Arg_0 ]
n_eval_foo_bb3_in___6 [11*Arg_1+101-Arg_0 ]
n_eval_foo_bb1_in___4 [11*Arg_1+102-Arg_0 ]
n_eval_foo_bb4_in___1 [11*Arg_1+101-Arg_0 ]
n_eval_foo_bb4_in___5 [11*Arg_1+101-Arg_0 ]
n_eval_foo_bb1_in___8 [11*Arg_1+101-Arg_0 ]

MPRF for transition 45:n_eval_foo_bb1_in___8(Arg_0,Arg_1,Arg_3) -> n_eval_foo_bb2_in___7(Arg_0,Arg_1,Arg_3):|:Arg_3<=100 && Arg_3<=98+Arg_1 && 2+Arg_3<=Arg_0 && Arg_0+Arg_3<=211 && 2<=Arg_1 && Arg_0<=109+Arg_1 && Arg_0<=111 && 0<Arg_1 && 1<=Arg_1 && 0<Arg_1 of depth 1:

new bound:

Arg_3+133 {O(n)}

MPRF:

n_eval_foo_bb2_in___3 [10*Arg_1+101-Arg_0 ]
n_eval_foo_bb2_in___7 [10*Arg_1+101-Arg_0 ]
n_eval_foo_bb3_in___2 [10*Arg_1+101-Arg_0 ]
n_eval_foo_bb3_in___6 [10*Arg_1+101-Arg_0 ]
n_eval_foo_bb1_in___4 [10*Arg_1+101-Arg_0 ]
n_eval_foo_bb4_in___1 [10*Arg_1+101-Arg_0 ]
n_eval_foo_bb4_in___5 [10*Arg_1+101-Arg_0 ]
n_eval_foo_bb1_in___8 [10*Arg_1+102-Arg_0 ]

MPRF for transition 48:n_eval_foo_bb2_in___3(Arg_0,Arg_1,Arg_3) -> n_eval_foo_bb3_in___2(Arg_0,Arg_1,Arg_3):|:Arg_3<=100 && Arg_3<=99+Arg_1 && Arg_3<=9+Arg_0 && Arg_0+Arg_3<=201 && 1<=Arg_1 && 92<=Arg_0+Arg_1 && Arg_0<=100+Arg_1 && Arg_0<=101 && 91<=Arg_0 && 0<Arg_1 && 100<Arg_0 of depth 1:

new bound:

10*Arg_3+1221 {O(n)}

MPRF:

n_eval_foo_bb2_in___3 [110*Arg_1+800-9*Arg_0 ]
n_eval_foo_bb2_in___7 [110*Arg_1+891-10*Arg_0 ]
n_eval_foo_bb3_in___2 [110*Arg_1+780-9*Arg_0 ]
n_eval_foo_bb3_in___6 [110*Arg_1+780-9*Arg_0 ]
n_eval_foo_bb1_in___4 [110*Arg_1+800-9*Arg_0 ]
n_eval_foo_bb4_in___1 [110*Arg_1+800-9*Arg_0 ]
n_eval_foo_bb4_in___5 [110*Arg_1+891-10*Arg_0 ]
n_eval_foo_bb1_in___8 [110*Arg_1+891-10*Arg_0 ]

MPRF for transition 49:n_eval_foo_bb2_in___3(Arg_0,Arg_1,Arg_3) -> n_eval_foo_bb4_in___1(Arg_0,Arg_1,Arg_3):|:Arg_3<=100 && Arg_3<=99+Arg_1 && Arg_3<=9+Arg_0 && Arg_0+Arg_3<=201 && 1<=Arg_1 && 92<=Arg_0+Arg_1 && Arg_0<=100+Arg_1 && Arg_0<=101 && 91<=Arg_0 && 0<Arg_1 && Arg_0<=100 of depth 1:

new bound:

101*Arg_3+12524 {O(n)}

MPRF:

n_eval_foo_bb2_in___3 [1010*Arg_1+9393-101*Arg_0 ]
n_eval_foo_bb2_in___7 [1010*Arg_1+9393-101*Arg_0 ]
n_eval_foo_bb3_in___2 [1010*Arg_1-8*Arg_0 ]
n_eval_foo_bb3_in___6 [1010*Arg_1+9393-101*Arg_0 ]
n_eval_foo_bb1_in___4 [1010*Arg_1+9393-101*Arg_0 ]
n_eval_foo_bb4_in___1 [1010*Arg_1+9292-101*Arg_0 ]
n_eval_foo_bb4_in___5 [1010*Arg_1+9292-101*Arg_0 ]
n_eval_foo_bb1_in___8 [1010*Arg_1+9393-101*Arg_0 ]

MPRF for transition 50:n_eval_foo_bb2_in___7(Arg_0,Arg_1,Arg_3) -> n_eval_foo_bb3_in___6(Arg_0,Arg_1,Arg_3):|:Arg_3<=100 && Arg_3<=98+Arg_1 && 2+Arg_3<=Arg_0 && Arg_0+Arg_3<=211 && 2<=Arg_1 && Arg_0<=109+Arg_1 && Arg_0<=111 && 1<=Arg_1 && 100<Arg_0 of depth 1:

new bound:

Arg_3+133 {O(n)}

MPRF:

n_eval_foo_bb2_in___3 [10*Arg_1+101-Arg_0 ]
n_eval_foo_bb2_in___7 [10*Arg_1+102-Arg_0 ]
n_eval_foo_bb3_in___2 [10*Arg_1 ]
n_eval_foo_bb3_in___6 [10*Arg_1+101-Arg_0 ]
n_eval_foo_bb1_in___4 [10*Arg_1+101-Arg_0 ]
n_eval_foo_bb4_in___1 [10*Arg_1+101-Arg_0 ]
n_eval_foo_bb4_in___5 [10*Arg_1+101-Arg_0 ]
n_eval_foo_bb1_in___8 [10*Arg_1+102-Arg_0 ]

MPRF for transition 51:n_eval_foo_bb2_in___7(Arg_0,Arg_1,Arg_3) -> n_eval_foo_bb4_in___5(Arg_0,Arg_1,Arg_3):|:Arg_3<=100 && Arg_3<=98+Arg_1 && 2+Arg_3<=Arg_0 && Arg_0+Arg_3<=211 && 2<=Arg_1 && Arg_0<=109+Arg_1 && Arg_0<=111 && 1<=Arg_1 && Arg_0<=100 of depth 1:

new bound:

10*Arg_3+1311 {O(n)}

MPRF:

n_eval_foo_bb2_in___3 [90*Arg_1+910-9*Arg_0 ]
n_eval_foo_bb2_in___7 [90*Arg_1+1021-10*Arg_0 ]
n_eval_foo_bb3_in___2 [90*Arg_1+910-9*Arg_0 ]
n_eval_foo_bb3_in___6 [90*Arg_1+1021-10*Arg_0 ]
n_eval_foo_bb1_in___4 [90*Arg_1+910-9*Arg_0 ]
n_eval_foo_bb4_in___1 [90*Arg_1+910-9*Arg_0 ]
n_eval_foo_bb4_in___5 [90*Arg_1+1001-10*Arg_0 ]
n_eval_foo_bb1_in___8 [90*Arg_1+1021-10*Arg_0 ]

MPRF for transition 53:n_eval_foo_bb3_in___2(Arg_0,Arg_1,Arg_3) -> n_eval_foo_bb1_in___4(Arg_0-10,Arg_1-1,Arg_3):|:Arg_3<=100 && Arg_3<=99+Arg_1 && 1+Arg_3<=Arg_0 && Arg_0+Arg_3<=201 && 1<=Arg_1 && 102<=Arg_0+Arg_1 && Arg_0<=100+Arg_1 && Arg_0<=101 && 101<=Arg_0 && 0<Arg_1 && 100<Arg_0 of depth 1:

new bound:

10*Arg_3+1221 {O(n)}

MPRF:

n_eval_foo_bb2_in___3 [110*Arg_1+800-9*Arg_0 ]
n_eval_foo_bb2_in___7 [110*Arg_1+891-10*Arg_0 ]
n_eval_foo_bb3_in___2 [110*Arg_1-109 ]
n_eval_foo_bb3_in___6 [110*Arg_1+891-10*Arg_0 ]
n_eval_foo_bb1_in___4 [110*Arg_1+800-9*Arg_0 ]
n_eval_foo_bb4_in___1 [110*Arg_1+800-9*Arg_0 ]
n_eval_foo_bb4_in___5 [110*Arg_1+891-10*Arg_0 ]
n_eval_foo_bb1_in___8 [110*Arg_1+891-10*Arg_0 ]

MPRF for transition 54:n_eval_foo_bb3_in___6(Arg_0,Arg_1,Arg_3) -> n_eval_foo_bb1_in___4(Arg_0-10,Arg_1-1,Arg_3):|:Arg_3<=100 && Arg_3<=98+Arg_1 && 2+Arg_3<=Arg_0 && Arg_0+Arg_3<=211 && 2<=Arg_1 && 103<=Arg_0+Arg_1 && Arg_0<=109+Arg_1 && Arg_0<=111 && 101<=Arg_0 && 1<=Arg_1 && 100<Arg_0 of depth 1:

new bound:

Arg_3+324 {O(n)}

MPRF:

n_eval_foo_bb2_in___3 [10*Arg_1+292-Arg_0 ]
n_eval_foo_bb2_in___7 [10*Arg_1+293-Arg_0 ]
n_eval_foo_bb3_in___2 [Arg_0+10*Arg_1+90 ]
n_eval_foo_bb3_in___6 [10*Arg_1+293-Arg_0 ]
n_eval_foo_bb1_in___4 [10*Arg_1+292-Arg_0 ]
n_eval_foo_bb4_in___1 [10*Arg_1+292-Arg_0 ]
n_eval_foo_bb4_in___5 [10*Arg_1+292-Arg_0 ]
n_eval_foo_bb1_in___8 [10*Arg_1+293-Arg_0 ]

MPRF for transition 55:n_eval_foo_bb4_in___1(Arg_0,Arg_1,Arg_3) -> n_eval_foo_bb1_in___8(Arg_0+11,Arg_1+1,Arg_3):|:Arg_3<=100 && Arg_3<=99+Arg_1 && Arg_3<=9+Arg_0 && Arg_0+Arg_3<=200 && 1<=Arg_1 && 92<=Arg_0+Arg_1 && Arg_0<=99+Arg_1 && Arg_0<=100 && 91<=Arg_0 && Arg_0<=100 && 0<Arg_1 of depth 1:

new bound:

101*Arg_3+12322 {O(n)}

MPRF:

n_eval_foo_bb2_in___3 [1111*Arg_1+9090-101*Arg_0 ]
n_eval_foo_bb2_in___7 [1111*Arg_1+8989-101*Arg_0 ]
n_eval_foo_bb3_in___2 [1111*Arg_1-12*Arg_0 ]
n_eval_foo_bb3_in___6 [1111*Arg_1+8989-101*Arg_0 ]
n_eval_foo_bb1_in___4 [1111*Arg_1+9090-101*Arg_0 ]
n_eval_foo_bb4_in___1 [1111*Arg_1+9090-101*Arg_0 ]
n_eval_foo_bb4_in___5 [1111*Arg_1+8989-101*Arg_0 ]
n_eval_foo_bb1_in___8 [1111*Arg_1+8989-101*Arg_0 ]

MPRF for transition 57:n_eval_foo_bb4_in___5(Arg_0,Arg_1,Arg_3) -> n_eval_foo_bb1_in___8(Arg_0+11,Arg_1+1,Arg_3):|:Arg_3<=98 && Arg_3<=96+Arg_1 && 2+Arg_3<=Arg_0 && Arg_0+Arg_3<=198 && 2<=Arg_1 && Arg_0<=98+Arg_1 && Arg_0<=100 && Arg_0<=100 && 1<=Arg_1 of depth 1:

new bound:

Arg_3+112 {O(n)}

MPRF:

n_eval_foo_bb2_in___3 [10*Arg_1+80-Arg_0 ]
n_eval_foo_bb2_in___7 [10*Arg_1+81-Arg_0 ]
n_eval_foo_bb3_in___2 [10*Arg_1+80-Arg_0 ]
n_eval_foo_bb3_in___6 [10*Arg_1+80-Arg_0 ]
n_eval_foo_bb1_in___4 [10*Arg_1+80-Arg_0 ]
n_eval_foo_bb4_in___1 [10*Arg_1+80-Arg_0 ]
n_eval_foo_bb4_in___5 [10*Arg_1+81-Arg_0 ]
n_eval_foo_bb1_in___8 [10*Arg_1+81-Arg_0 ]

All Bounds

Timebounds

Overall timebound:237*Arg_3+29445 {O(n)}
40: n_eval_foo_bb0_in___16->n_eval_foo_bb1_in___15: 1 {O(1)}
41: n_eval_foo_bb1_in___11->n_eval_foo_bb5_in___10: 1 {O(1)}
42: n_eval_foo_bb1_in___15->n_eval_foo_bb2_in___14: 1 {O(1)}
43: n_eval_foo_bb1_in___4->n_eval_foo_bb2_in___3: Arg_3+134 {O(n)}
44: n_eval_foo_bb1_in___4->n_eval_foo_bb5_in___10: 1 {O(1)}
45: n_eval_foo_bb1_in___8->n_eval_foo_bb2_in___7: Arg_3+133 {O(n)}
46: n_eval_foo_bb2_in___14->n_eval_foo_bb3_in___13: 1 {O(1)}
47: n_eval_foo_bb2_in___14->n_eval_foo_bb4_in___12: 1 {O(1)}
48: n_eval_foo_bb2_in___3->n_eval_foo_bb3_in___2: 10*Arg_3+1221 {O(n)}
49: n_eval_foo_bb2_in___3->n_eval_foo_bb4_in___1: 101*Arg_3+12524 {O(n)}
50: n_eval_foo_bb2_in___7->n_eval_foo_bb3_in___6: Arg_3+133 {O(n)}
51: n_eval_foo_bb2_in___7->n_eval_foo_bb4_in___5: 10*Arg_3+1311 {O(n)}
52: n_eval_foo_bb3_in___13->n_eval_foo_bb1_in___11: 1 {O(1)}
53: n_eval_foo_bb3_in___2->n_eval_foo_bb1_in___4: 10*Arg_3+1221 {O(n)}
54: n_eval_foo_bb3_in___6->n_eval_foo_bb1_in___4: Arg_3+324 {O(n)}
55: n_eval_foo_bb4_in___1->n_eval_foo_bb1_in___8: 101*Arg_3+12322 {O(n)}
56: n_eval_foo_bb4_in___12->n_eval_foo_bb1_in___8: 1 {O(1)}
57: n_eval_foo_bb4_in___5->n_eval_foo_bb1_in___8: Arg_3+112 {O(n)}
58: n_eval_foo_bb5_in___10->n_eval_foo_stop___9: 1 {O(1)}
59: n_eval_foo_start->n_eval_foo_bb0_in___16: 1 {O(1)}

Costbounds

Overall costbound: 237*Arg_3+29445 {O(n)}
40: n_eval_foo_bb0_in___16->n_eval_foo_bb1_in___15: 1 {O(1)}
41: n_eval_foo_bb1_in___11->n_eval_foo_bb5_in___10: 1 {O(1)}
42: n_eval_foo_bb1_in___15->n_eval_foo_bb2_in___14: 1 {O(1)}
43: n_eval_foo_bb1_in___4->n_eval_foo_bb2_in___3: Arg_3+134 {O(n)}
44: n_eval_foo_bb1_in___4->n_eval_foo_bb5_in___10: 1 {O(1)}
45: n_eval_foo_bb1_in___8->n_eval_foo_bb2_in___7: Arg_3+133 {O(n)}
46: n_eval_foo_bb2_in___14->n_eval_foo_bb3_in___13: 1 {O(1)}
47: n_eval_foo_bb2_in___14->n_eval_foo_bb4_in___12: 1 {O(1)}
48: n_eval_foo_bb2_in___3->n_eval_foo_bb3_in___2: 10*Arg_3+1221 {O(n)}
49: n_eval_foo_bb2_in___3->n_eval_foo_bb4_in___1: 101*Arg_3+12524 {O(n)}
50: n_eval_foo_bb2_in___7->n_eval_foo_bb3_in___6: Arg_3+133 {O(n)}
51: n_eval_foo_bb2_in___7->n_eval_foo_bb4_in___5: 10*Arg_3+1311 {O(n)}
52: n_eval_foo_bb3_in___13->n_eval_foo_bb1_in___11: 1 {O(1)}
53: n_eval_foo_bb3_in___2->n_eval_foo_bb1_in___4: 10*Arg_3+1221 {O(n)}
54: n_eval_foo_bb3_in___6->n_eval_foo_bb1_in___4: Arg_3+324 {O(n)}
55: n_eval_foo_bb4_in___1->n_eval_foo_bb1_in___8: 101*Arg_3+12322 {O(n)}
56: n_eval_foo_bb4_in___12->n_eval_foo_bb1_in___8: 1 {O(1)}
57: n_eval_foo_bb4_in___5->n_eval_foo_bb1_in___8: Arg_3+112 {O(n)}
58: n_eval_foo_bb5_in___10->n_eval_foo_stop___9: 1 {O(1)}
59: n_eval_foo_start->n_eval_foo_bb0_in___16: 1 {O(1)}

Sizebounds

40: n_eval_foo_bb0_in___16->n_eval_foo_bb1_in___15, Arg_0: Arg_3 {O(n)}
40: n_eval_foo_bb0_in___16->n_eval_foo_bb1_in___15, Arg_1: 1 {O(1)}
40: n_eval_foo_bb0_in___16->n_eval_foo_bb1_in___15, Arg_3: Arg_3 {O(n)}
41: n_eval_foo_bb1_in___11->n_eval_foo_bb5_in___10, Arg_0: Arg_3 {O(n)}
41: n_eval_foo_bb1_in___11->n_eval_foo_bb5_in___10, Arg_1: 0 {O(1)}
41: n_eval_foo_bb1_in___11->n_eval_foo_bb5_in___10, Arg_3: Arg_3 {O(n)}
42: n_eval_foo_bb1_in___15->n_eval_foo_bb2_in___14, Arg_0: Arg_3 {O(n)}
42: n_eval_foo_bb1_in___15->n_eval_foo_bb2_in___14, Arg_1: 1 {O(1)}
42: n_eval_foo_bb1_in___15->n_eval_foo_bb2_in___14, Arg_3: Arg_3 {O(n)}
43: n_eval_foo_bb1_in___4->n_eval_foo_bb2_in___3, Arg_0: 101 {O(1)}
43: n_eval_foo_bb1_in___4->n_eval_foo_bb2_in___3, Arg_1: 102*Arg_3+12436 {O(n)}
43: n_eval_foo_bb1_in___4->n_eval_foo_bb2_in___3, Arg_3: Arg_3 {O(n)}
44: n_eval_foo_bb1_in___4->n_eval_foo_bb5_in___10, Arg_0: 100 {O(1)}
44: n_eval_foo_bb1_in___4->n_eval_foo_bb5_in___10, Arg_1: 0 {O(1)}
44: n_eval_foo_bb1_in___4->n_eval_foo_bb5_in___10, Arg_3: Arg_3 {O(n)}
45: n_eval_foo_bb1_in___8->n_eval_foo_bb2_in___7, Arg_0: 12*Arg_3+1354 {O(n)}
45: n_eval_foo_bb1_in___8->n_eval_foo_bb2_in___7, Arg_1: 102*Arg_3+12436 {O(n)}
45: n_eval_foo_bb1_in___8->n_eval_foo_bb2_in___7, Arg_3: Arg_3 {O(n)}
46: n_eval_foo_bb2_in___14->n_eval_foo_bb3_in___13, Arg_0: Arg_3 {O(n)}
46: n_eval_foo_bb2_in___14->n_eval_foo_bb3_in___13, Arg_1: 1 {O(1)}
46: n_eval_foo_bb2_in___14->n_eval_foo_bb3_in___13, Arg_3: Arg_3 {O(n)}
47: n_eval_foo_bb2_in___14->n_eval_foo_bb4_in___12, Arg_0: Arg_3 {O(n)}
47: n_eval_foo_bb2_in___14->n_eval_foo_bb4_in___12, Arg_1: 1 {O(1)}
47: n_eval_foo_bb2_in___14->n_eval_foo_bb4_in___12, Arg_3: Arg_3 {O(n)}
48: n_eval_foo_bb2_in___3->n_eval_foo_bb3_in___2, Arg_0: 101 {O(1)}
48: n_eval_foo_bb2_in___3->n_eval_foo_bb3_in___2, Arg_1: 102*Arg_3+12436 {O(n)}
48: n_eval_foo_bb2_in___3->n_eval_foo_bb3_in___2, Arg_3: Arg_3 {O(n)}
49: n_eval_foo_bb2_in___3->n_eval_foo_bb4_in___1, Arg_0: 100 {O(1)}
49: n_eval_foo_bb2_in___3->n_eval_foo_bb4_in___1, Arg_1: 102*Arg_3+12436 {O(n)}
49: n_eval_foo_bb2_in___3->n_eval_foo_bb4_in___1, Arg_3: Arg_3 {O(n)}
50: n_eval_foo_bb2_in___7->n_eval_foo_bb3_in___6, Arg_0: 111 {O(1)}
50: n_eval_foo_bb2_in___7->n_eval_foo_bb3_in___6, Arg_1: 102*Arg_3+12436 {O(n)}
50: n_eval_foo_bb2_in___7->n_eval_foo_bb3_in___6, Arg_3: Arg_3 {O(n)}
51: n_eval_foo_bb2_in___7->n_eval_foo_bb4_in___5, Arg_0: 12*Arg_3+1354 {O(n)}
51: n_eval_foo_bb2_in___7->n_eval_foo_bb4_in___5, Arg_1: 102*Arg_3+12436 {O(n)}
51: n_eval_foo_bb2_in___7->n_eval_foo_bb4_in___5, Arg_3: Arg_3 {O(n)}
52: n_eval_foo_bb3_in___13->n_eval_foo_bb1_in___11, Arg_0: Arg_3 {O(n)}
52: n_eval_foo_bb3_in___13->n_eval_foo_bb1_in___11, Arg_1: 0 {O(1)}
52: n_eval_foo_bb3_in___13->n_eval_foo_bb1_in___11, Arg_3: Arg_3 {O(n)}
53: n_eval_foo_bb3_in___2->n_eval_foo_bb1_in___4, Arg_0: 91 {O(1)}
53: n_eval_foo_bb3_in___2->n_eval_foo_bb1_in___4, Arg_1: 102*Arg_3+12436 {O(n)}
53: n_eval_foo_bb3_in___2->n_eval_foo_bb1_in___4, Arg_3: Arg_3 {O(n)}
54: n_eval_foo_bb3_in___6->n_eval_foo_bb1_in___4, Arg_0: 101 {O(1)}
54: n_eval_foo_bb3_in___6->n_eval_foo_bb1_in___4, Arg_1: 102*Arg_3+12436 {O(n)}
54: n_eval_foo_bb3_in___6->n_eval_foo_bb1_in___4, Arg_3: Arg_3 {O(n)}
55: n_eval_foo_bb4_in___1->n_eval_foo_bb1_in___8, Arg_0: 111 {O(1)}
55: n_eval_foo_bb4_in___1->n_eval_foo_bb1_in___8, Arg_1: 102*Arg_3+12436 {O(n)}
55: n_eval_foo_bb4_in___1->n_eval_foo_bb1_in___8, Arg_3: Arg_3 {O(n)}
56: n_eval_foo_bb4_in___12->n_eval_foo_bb1_in___8, Arg_0: Arg_3+11 {O(n)}
56: n_eval_foo_bb4_in___12->n_eval_foo_bb1_in___8, Arg_1: 2 {O(1)}
56: n_eval_foo_bb4_in___12->n_eval_foo_bb1_in___8, Arg_3: Arg_3 {O(n)}
57: n_eval_foo_bb4_in___5->n_eval_foo_bb1_in___8, Arg_0: 12*Arg_3+1354 {O(n)}
57: n_eval_foo_bb4_in___5->n_eval_foo_bb1_in___8, Arg_1: 102*Arg_3+12436 {O(n)}
57: n_eval_foo_bb4_in___5->n_eval_foo_bb1_in___8, Arg_3: Arg_3 {O(n)}
58: n_eval_foo_bb5_in___10->n_eval_foo_stop___9, Arg_0: Arg_3+100 {O(n)}
58: n_eval_foo_bb5_in___10->n_eval_foo_stop___9, Arg_1: 0 {O(1)}
58: n_eval_foo_bb5_in___10->n_eval_foo_stop___9, Arg_3: 2*Arg_3 {O(n)}
59: n_eval_foo_start->n_eval_foo_bb0_in___16, Arg_0: Arg_0 {O(n)}
59: n_eval_foo_start->n_eval_foo_bb0_in___16, Arg_1: Arg_1 {O(n)}
59: n_eval_foo_start->n_eval_foo_bb0_in___16, Arg_3: Arg_3 {O(n)}