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___15, n_eval_foo_bb1_in___14, n_eval_foo_bb1_in___3, n_eval_foo_bb1_in___6, n_eval_foo_bb2_in___13, n_eval_foo_bb2_in___2, n_eval_foo_bb2_in___9, n_eval_foo_bb3_in___11, n_eval_foo_bb3_in___8, n_eval_foo_bb4_in___10, n_eval_foo_bb4_in___7, n_eval_foo_bb5_in___12, n_eval_foo_bb5_in___5, n_eval_foo_start, n_eval_foo_stop___1, n_eval_foo_stop___4
Transitions:
0:n_eval_foo_bb0_in___15(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb1_in___14(Arg_2,Arg_1,Arg_2,Arg_3)
1:n_eval_foo_bb1_in___14(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb2_in___13(Arg_0,1,Arg_2,Arg_3):|:Arg_0<=Arg_2 && Arg_2<=Arg_0 && 0<=Arg_0
2:n_eval_foo_bb1_in___14(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb5_in___12(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_0<=Arg_2 && Arg_2<=Arg_0 && Arg_0<0
3:n_eval_foo_bb1_in___3(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb2_in___2(Arg_0,1,Arg_2,Arg_3):|:Arg_0<=1 && 0<=Arg_0
4:n_eval_foo_bb1_in___3(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb5_in___5(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_0<=1 && Arg_0<0
5:n_eval_foo_bb1_in___6(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb2_in___13(Arg_0,1,Arg_2,Arg_3):|:0<=Arg_0
6:n_eval_foo_bb1_in___6(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb5_in___5(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_0<0
7:n_eval_foo_bb2_in___13(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb3_in___11(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=1 && 1<=Arg_1 && 0<=Arg_0 && Arg_1<Arg_0
8:n_eval_foo_bb2_in___13(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb4_in___10(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=1 && 1<=Arg_1 && 0<=Arg_0 && Arg_0<=Arg_1
9:n_eval_foo_bb2_in___2(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb4_in___10(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_0<=Arg_1 && Arg_1<=1 && 1<=Arg_1 && 0<=Arg_0 && Arg_0<=Arg_1 && Arg_0<=Arg_1
10: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):|:Arg_1<Arg_0
11:n_eval_foo_bb2_in___9(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb4_in___7(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_0<=Arg_1
12:n_eval_foo_bb3_in___11(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb2_in___9(Arg_0,Arg_1+1,Arg_2,Arg_3):|:1<Arg_0 && Arg_1<=1 && 1<=Arg_1
13:n_eval_foo_bb3_in___8(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb2_in___9(Arg_0,Arg_1+1,Arg_2,Arg_3):|:Arg_1<Arg_0
14:n_eval_foo_bb4_in___10(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb1_in___3(Arg_0-1,Arg_1,Arg_2,Arg_3):|:Arg_0<=1 && 0<=Arg_0 && Arg_1<=1 && 1<=Arg_1
15:n_eval_foo_bb4_in___7(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb1_in___6(Arg_0-1,Arg_1,Arg_2,Arg_3):|:Arg_0<=Arg_1
16:n_eval_foo_bb5_in___12(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_stop___1(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_0<0 && Arg_0<=Arg_2 && Arg_2<=Arg_0
17:n_eval_foo_bb5_in___5(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_stop___4(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_0<0
18:n_eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb0_in___15(Arg_0,Arg_1,Arg_2,Arg_3)

Preprocessing

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

Found invariant Arg_2<=Arg_0 && Arg_0<=Arg_2 for location n_eval_foo_bb1_in___14

Found invariant 2<=Arg_2 && 4<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 2<=Arg_0 for location n_eval_foo_bb4_in___7

Found invariant 0<=Arg_2 && 1<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 0<=1+Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=1 && Arg_1<=2+Arg_0 && Arg_0+Arg_1<=0 && 1<=Arg_1 && 0<=Arg_0+Arg_1 && 2+Arg_0<=Arg_1 && 1+Arg_0<=0 && 0<=1+Arg_0 for location n_eval_foo_bb5_in___5

Found invariant 0<=Arg_2 && 1<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=1 && Arg_1<=1+Arg_0 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 for location n_eval_foo_bb2_in___13

Found invariant 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=1 && Arg_1<=1+Arg_0 && Arg_0+Arg_1<=1 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 for location n_eval_foo_bb2_in___2

Found invariant 0<=Arg_2 && 1<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 0<=1+Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=1 && Arg_1<=2+Arg_0 && Arg_0+Arg_1<=1 && 1<=Arg_1 && 0<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 && 0<=1+Arg_0 for location n_eval_foo_bb1_in___3

Found invariant 0<=Arg_2 && 1<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=1 && Arg_1<=1+Arg_0 && Arg_0+Arg_1<=2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=1 && 0<=Arg_0 for location n_eval_foo_bb4_in___10

Found invariant 1+Arg_2<=0 && Arg_2<=Arg_0 && 2+Arg_0+Arg_2<=0 && Arg_0<=Arg_2 && 1+Arg_0<=0 for location n_eval_foo_bb5_in___12

Found invariant 1+Arg_2<=0 && Arg_2<=Arg_0 && 2+Arg_0+Arg_2<=0 && Arg_0<=Arg_2 && 1+Arg_0<=0 for location n_eval_foo_stop___1

Found invariant 0<=Arg_2 && 1<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 0<=1+Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=1 && Arg_1<=2+Arg_0 && Arg_0+Arg_1<=0 && 1<=Arg_1 && 0<=Arg_0+Arg_1 && 2+Arg_0<=Arg_1 && 1+Arg_0<=0 && 0<=1+Arg_0 for location n_eval_foo_stop___4

Found invariant 3<=Arg_2 && 5<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 6<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1+Arg_1<=Arg_0 && 2<=Arg_1 && 5<=Arg_0+Arg_1 && 3<=Arg_0 for location n_eval_foo_bb3_in___8

Found invariant 2<=Arg_2 && 4<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && 2<=Arg_0 for location n_eval_foo_bb2_in___9

Found invariant 2<=Arg_2 && 4<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=1+Arg_0 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 for location n_eval_foo_bb1_in___6

Found invariant 2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=1 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 for location n_eval_foo_bb3_in___11

Cut unsatisfiable transition 44: n_eval_foo_bb1_in___6->n_eval_foo_bb5_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___15, n_eval_foo_bb1_in___14, n_eval_foo_bb1_in___3, n_eval_foo_bb1_in___6, n_eval_foo_bb2_in___13, n_eval_foo_bb2_in___2, n_eval_foo_bb2_in___9, n_eval_foo_bb3_in___11, n_eval_foo_bb3_in___8, n_eval_foo_bb4_in___10, n_eval_foo_bb4_in___7, n_eval_foo_bb5_in___12, n_eval_foo_bb5_in___5, n_eval_foo_start, n_eval_foo_stop___1, n_eval_foo_stop___4
Transitions:
38:n_eval_foo_bb0_in___15(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb1_in___14(Arg_2,Arg_1,Arg_2)
39:n_eval_foo_bb1_in___14(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb2_in___13(Arg_0,1,Arg_2):|:Arg_2<=Arg_0 && Arg_0<=Arg_2 && Arg_0<=Arg_2 && Arg_2<=Arg_0 && 0<=Arg_0
40:n_eval_foo_bb1_in___14(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb5_in___12(Arg_0,Arg_1,Arg_2):|:Arg_2<=Arg_0 && Arg_0<=Arg_2 && Arg_0<=Arg_2 && Arg_2<=Arg_0 && Arg_0<0
41:n_eval_foo_bb1_in___3(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb2_in___2(Arg_0,1,Arg_2):|:0<=Arg_2 && 1<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 0<=1+Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=1 && Arg_1<=2+Arg_0 && Arg_0+Arg_1<=1 && 1<=Arg_1 && 0<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 && 0<=1+Arg_0 && Arg_0<=1 && 0<=Arg_0
42:n_eval_foo_bb1_in___3(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb5_in___5(Arg_0,Arg_1,Arg_2):|:0<=Arg_2 && 1<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 0<=1+Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=1 && Arg_1<=2+Arg_0 && Arg_0+Arg_1<=1 && 1<=Arg_1 && 0<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 && 0<=1+Arg_0 && Arg_0<=1 && Arg_0<0
43:n_eval_foo_bb1_in___6(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb2_in___13(Arg_0,1,Arg_2):|:2<=Arg_2 && 4<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=1+Arg_0 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 && 0<=Arg_0
45:n_eval_foo_bb2_in___13(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb3_in___11(Arg_0,Arg_1,Arg_2):|:0<=Arg_2 && 1<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=1 && Arg_1<=1+Arg_0 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_1<=1 && 1<=Arg_1 && 0<=Arg_0 && Arg_1<Arg_0
46:n_eval_foo_bb2_in___13(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb4_in___10(Arg_0,Arg_1,Arg_2):|:0<=Arg_2 && 1<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=1 && Arg_1<=1+Arg_0 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_1<=1 && 1<=Arg_1 && 0<=Arg_0 && Arg_0<=Arg_1
47:n_eval_foo_bb2_in___2(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb4_in___10(Arg_0,Arg_1,Arg_2):|:1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=1 && Arg_1<=1+Arg_0 && Arg_0+Arg_1<=1 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && Arg_0<=Arg_1 && Arg_1<=1 && 1<=Arg_1 && 0<=Arg_0 && Arg_0<=Arg_1 && Arg_0<=Arg_1
48:n_eval_foo_bb2_in___9(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb3_in___8(Arg_0,Arg_1,Arg_2):|:2<=Arg_2 && 4<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_1<Arg_0
49:n_eval_foo_bb2_in___9(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb4_in___7(Arg_0,Arg_1,Arg_2):|:2<=Arg_2 && 4<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_0<=Arg_1
50:n_eval_foo_bb3_in___11(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb2_in___9(Arg_0,Arg_1+1,Arg_2):|:2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=1 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && 1<Arg_0 && Arg_1<=1 && 1<=Arg_1
51:n_eval_foo_bb3_in___8(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb2_in___9(Arg_0,Arg_1+1,Arg_2):|:3<=Arg_2 && 5<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 6<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1+Arg_1<=Arg_0 && 2<=Arg_1 && 5<=Arg_0+Arg_1 && 3<=Arg_0 && Arg_1<Arg_0
52:n_eval_foo_bb4_in___10(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb1_in___3(Arg_0-1,Arg_1,Arg_2):|:0<=Arg_2 && 1<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=1 && Arg_1<=1+Arg_0 && Arg_0+Arg_1<=2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=1 && 0<=Arg_0 && Arg_0<=1 && 0<=Arg_0 && Arg_1<=1 && 1<=Arg_1
53:n_eval_foo_bb4_in___7(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb1_in___6(Arg_0-1,Arg_1,Arg_2):|:2<=Arg_2 && 4<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 2<=Arg_0 && Arg_0<=Arg_1
54:n_eval_foo_bb5_in___12(Arg_0,Arg_1,Arg_2) -> n_eval_foo_stop___1(Arg_0,Arg_1,Arg_2):|:1+Arg_2<=0 && Arg_2<=Arg_0 && 2+Arg_0+Arg_2<=0 && Arg_0<=Arg_2 && 1+Arg_0<=0 && Arg_0<0 && Arg_0<=Arg_2 && Arg_2<=Arg_0
55:n_eval_foo_bb5_in___5(Arg_0,Arg_1,Arg_2) -> n_eval_foo_stop___4(Arg_0,Arg_1,Arg_2):|:0<=Arg_2 && 1<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 0<=1+Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=1 && Arg_1<=2+Arg_0 && Arg_0+Arg_1<=0 && 1<=Arg_1 && 0<=Arg_0+Arg_1 && 2+Arg_0<=Arg_1 && 1+Arg_0<=0 && 0<=1+Arg_0 && Arg_0<0
56:n_eval_foo_start(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb0_in___15(Arg_0,Arg_1,Arg_2)

MPRF for transition 43:n_eval_foo_bb1_in___6(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb2_in___13(Arg_0,1,Arg_2):|:2<=Arg_2 && 4<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=1+Arg_0 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 && 0<=Arg_0 of depth 1:

new bound:

Arg_2 {O(n)}

MPRF:

n_eval_foo_bb2_in___13 [Arg_0 ]
n_eval_foo_bb3_in___11 [Arg_0 ]
n_eval_foo_bb3_in___8 [Arg_0 ]
n_eval_foo_bb2_in___9 [Arg_0 ]
n_eval_foo_bb4_in___7 [Arg_0 ]
n_eval_foo_bb1_in___6 [Arg_0+1 ]

MPRF for transition 45:n_eval_foo_bb2_in___13(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb3_in___11(Arg_0,Arg_1,Arg_2):|:0<=Arg_2 && 1<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=1 && Arg_1<=1+Arg_0 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_1<=1 && 1<=Arg_1 && 0<=Arg_0 && Arg_1<Arg_0 of depth 1:

new bound:

Arg_2+1 {O(n)}

MPRF:

n_eval_foo_bb2_in___13 [Arg_0+1 ]
n_eval_foo_bb3_in___11 [Arg_0 ]
n_eval_foo_bb3_in___8 [Arg_0 ]
n_eval_foo_bb2_in___9 [Arg_0 ]
n_eval_foo_bb4_in___7 [Arg_1 ]
n_eval_foo_bb1_in___6 [Arg_0+1 ]

MPRF for transition 49:n_eval_foo_bb2_in___9(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb4_in___7(Arg_0,Arg_1,Arg_2):|:2<=Arg_2 && 4<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_0<=Arg_1 of depth 1:

new bound:

Arg_2+1 {O(n)}

MPRF:

n_eval_foo_bb2_in___13 [Arg_0-Arg_1 ]
n_eval_foo_bb3_in___11 [Arg_0-Arg_1 ]
n_eval_foo_bb3_in___8 [Arg_0-1 ]
n_eval_foo_bb2_in___9 [Arg_0-1 ]
n_eval_foo_bb4_in___7 [Arg_1-2 ]
n_eval_foo_bb1_in___6 [Arg_1-2 ]

MPRF for transition 50:n_eval_foo_bb3_in___11(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb2_in___9(Arg_0,Arg_1+1,Arg_2):|:2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=1 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && 1<Arg_0 && Arg_1<=1 && 1<=Arg_1 of depth 1:

new bound:

Arg_2+3 {O(n)}

MPRF:

n_eval_foo_bb2_in___13 [Arg_0+1-2*Arg_1 ]
n_eval_foo_bb3_in___11 [Arg_0-1 ]
n_eval_foo_bb3_in___8 [Arg_0-2 ]
n_eval_foo_bb2_in___9 [Arg_0-2 ]
n_eval_foo_bb4_in___7 [Arg_0-2 ]
n_eval_foo_bb1_in___6 [Arg_0-1 ]

MPRF for transition 53:n_eval_foo_bb4_in___7(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb1_in___6(Arg_0-1,Arg_1,Arg_2):|:2<=Arg_2 && 4<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 2<=Arg_0 && Arg_0<=Arg_1 of depth 1:

new bound:

Arg_2 {O(n)}

MPRF:

n_eval_foo_bb2_in___13 [Arg_0 ]
n_eval_foo_bb3_in___11 [Arg_0 ]
n_eval_foo_bb3_in___8 [Arg_0 ]
n_eval_foo_bb2_in___9 [Arg_0 ]
n_eval_foo_bb4_in___7 [Arg_1 ]
n_eval_foo_bb1_in___6 [Arg_1-1 ]

MPRF for transition 48:n_eval_foo_bb2_in___9(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb3_in___8(Arg_0,Arg_1,Arg_2):|:2<=Arg_2 && 4<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_1<Arg_0 of depth 1:

new bound:

Arg_2*Arg_2+Arg_2 {O(n^2)}

MPRF:

n_eval_foo_bb1_in___6 [Arg_2 ]
n_eval_foo_bb2_in___13 [Arg_0 ]
n_eval_foo_bb4_in___7 [0 ]
n_eval_foo_bb3_in___11 [Arg_0-Arg_1 ]
n_eval_foo_bb3_in___8 [Arg_0-Arg_1 ]
n_eval_foo_bb2_in___9 [Arg_0+1-Arg_1 ]

MPRF for transition 51:n_eval_foo_bb3_in___8(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb2_in___9(Arg_0,Arg_1+1,Arg_2):|:3<=Arg_2 && 5<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 6<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1+Arg_1<=Arg_0 && 2<=Arg_1 && 5<=Arg_0+Arg_1 && 3<=Arg_0 && Arg_1<Arg_0 of depth 1:

new bound:

Arg_2*Arg_2+Arg_2 {O(n^2)}

MPRF:

n_eval_foo_bb1_in___6 [Arg_2 ]
n_eval_foo_bb2_in___13 [Arg_0 ]
n_eval_foo_bb4_in___7 [Arg_0-Arg_1 ]
n_eval_foo_bb3_in___11 [Arg_0 ]
n_eval_foo_bb3_in___8 [Arg_0-Arg_1 ]
n_eval_foo_bb2_in___9 [Arg_0-Arg_1 ]

MPRF for transition 41:n_eval_foo_bb1_in___3(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb2_in___2(Arg_0,1,Arg_2):|:0<=Arg_2 && 1<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 0<=1+Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=1 && Arg_1<=2+Arg_0 && Arg_0+Arg_1<=1 && 1<=Arg_1 && 0<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 && 0<=1+Arg_0 && Arg_0<=1 && 0<=Arg_0 of depth 1:

new bound:

1 {O(1)}

MPRF:

n_eval_foo_bb2_in___2 [0 ]
n_eval_foo_bb4_in___10 [Arg_0 ]
n_eval_foo_bb1_in___3 [Arg_0+1 ]

MPRF for transition 47:n_eval_foo_bb2_in___2(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb4_in___10(Arg_0,Arg_1,Arg_2):|:1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=1 && Arg_1<=1+Arg_0 && Arg_0+Arg_1<=1 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && Arg_0<=Arg_1 && Arg_1<=1 && 1<=Arg_1 && 0<=Arg_0 && Arg_0<=Arg_1 && Arg_0<=Arg_1 of depth 1:

new bound:

1 {O(1)}

MPRF:

n_eval_foo_bb2_in___2 [1 ]
n_eval_foo_bb4_in___10 [Arg_0 ]
n_eval_foo_bb1_in___3 [Arg_0+1 ]

MPRF for transition 52:n_eval_foo_bb4_in___10(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb1_in___3(Arg_0-1,Arg_1,Arg_2):|:0<=Arg_2 && 1<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=1 && Arg_1<=1+Arg_0 && Arg_0+Arg_1<=2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=1 && 0<=Arg_0 && Arg_0<=1 && 0<=Arg_0 && Arg_1<=1 && 1<=Arg_1 of depth 1:

new bound:

2 {O(1)}

MPRF:

n_eval_foo_bb2_in___2 [Arg_1 ]
n_eval_foo_bb4_in___10 [Arg_0+1 ]
n_eval_foo_bb1_in___3 [Arg_0+1 ]

All Bounds

Timebounds

Overall timebound:2*Arg_2*Arg_2+7*Arg_2+17 {O(n^2)}
38: n_eval_foo_bb0_in___15->n_eval_foo_bb1_in___14: 1 {O(1)}
39: n_eval_foo_bb1_in___14->n_eval_foo_bb2_in___13: 1 {O(1)}
40: n_eval_foo_bb1_in___14->n_eval_foo_bb5_in___12: 1 {O(1)}
41: n_eval_foo_bb1_in___3->n_eval_foo_bb2_in___2: 1 {O(1)}
42: n_eval_foo_bb1_in___3->n_eval_foo_bb5_in___5: 1 {O(1)}
43: n_eval_foo_bb1_in___6->n_eval_foo_bb2_in___13: Arg_2 {O(n)}
45: n_eval_foo_bb2_in___13->n_eval_foo_bb3_in___11: Arg_2+1 {O(n)}
46: n_eval_foo_bb2_in___13->n_eval_foo_bb4_in___10: 1 {O(1)}
47: n_eval_foo_bb2_in___2->n_eval_foo_bb4_in___10: 1 {O(1)}
48: n_eval_foo_bb2_in___9->n_eval_foo_bb3_in___8: Arg_2*Arg_2+Arg_2 {O(n^2)}
49: n_eval_foo_bb2_in___9->n_eval_foo_bb4_in___7: Arg_2+1 {O(n)}
50: n_eval_foo_bb3_in___11->n_eval_foo_bb2_in___9: Arg_2+3 {O(n)}
51: n_eval_foo_bb3_in___8->n_eval_foo_bb2_in___9: Arg_2*Arg_2+Arg_2 {O(n^2)}
52: n_eval_foo_bb4_in___10->n_eval_foo_bb1_in___3: 2 {O(1)}
53: n_eval_foo_bb4_in___7->n_eval_foo_bb1_in___6: Arg_2 {O(n)}
54: n_eval_foo_bb5_in___12->n_eval_foo_stop___1: 1 {O(1)}
55: n_eval_foo_bb5_in___5->n_eval_foo_stop___4: 1 {O(1)}
56: n_eval_foo_start->n_eval_foo_bb0_in___15: 1 {O(1)}

Costbounds

Overall costbound: 2*Arg_2*Arg_2+7*Arg_2+17 {O(n^2)}
38: n_eval_foo_bb0_in___15->n_eval_foo_bb1_in___14: 1 {O(1)}
39: n_eval_foo_bb1_in___14->n_eval_foo_bb2_in___13: 1 {O(1)}
40: n_eval_foo_bb1_in___14->n_eval_foo_bb5_in___12: 1 {O(1)}
41: n_eval_foo_bb1_in___3->n_eval_foo_bb2_in___2: 1 {O(1)}
42: n_eval_foo_bb1_in___3->n_eval_foo_bb5_in___5: 1 {O(1)}
43: n_eval_foo_bb1_in___6->n_eval_foo_bb2_in___13: Arg_2 {O(n)}
45: n_eval_foo_bb2_in___13->n_eval_foo_bb3_in___11: Arg_2+1 {O(n)}
46: n_eval_foo_bb2_in___13->n_eval_foo_bb4_in___10: 1 {O(1)}
47: n_eval_foo_bb2_in___2->n_eval_foo_bb4_in___10: 1 {O(1)}
48: n_eval_foo_bb2_in___9->n_eval_foo_bb3_in___8: Arg_2*Arg_2+Arg_2 {O(n^2)}
49: n_eval_foo_bb2_in___9->n_eval_foo_bb4_in___7: Arg_2+1 {O(n)}
50: n_eval_foo_bb3_in___11->n_eval_foo_bb2_in___9: Arg_2+3 {O(n)}
51: n_eval_foo_bb3_in___8->n_eval_foo_bb2_in___9: Arg_2*Arg_2+Arg_2 {O(n^2)}
52: n_eval_foo_bb4_in___10->n_eval_foo_bb1_in___3: 2 {O(1)}
53: n_eval_foo_bb4_in___7->n_eval_foo_bb1_in___6: Arg_2 {O(n)}
54: n_eval_foo_bb5_in___12->n_eval_foo_stop___1: 1 {O(1)}
55: n_eval_foo_bb5_in___5->n_eval_foo_stop___4: 1 {O(1)}
56: n_eval_foo_start->n_eval_foo_bb0_in___15: 1 {O(1)}

Sizebounds

38: n_eval_foo_bb0_in___15->n_eval_foo_bb1_in___14, Arg_0: Arg_2 {O(n)}
38: n_eval_foo_bb0_in___15->n_eval_foo_bb1_in___14, Arg_1: Arg_1 {O(n)}
38: n_eval_foo_bb0_in___15->n_eval_foo_bb1_in___14, Arg_2: Arg_2 {O(n)}
39: n_eval_foo_bb1_in___14->n_eval_foo_bb2_in___13, Arg_0: Arg_2 {O(n)}
39: n_eval_foo_bb1_in___14->n_eval_foo_bb2_in___13, Arg_1: 1 {O(1)}
39: n_eval_foo_bb1_in___14->n_eval_foo_bb2_in___13, Arg_2: Arg_2 {O(n)}
40: n_eval_foo_bb1_in___14->n_eval_foo_bb5_in___12, Arg_0: Arg_2 {O(n)}
40: n_eval_foo_bb1_in___14->n_eval_foo_bb5_in___12, Arg_1: Arg_1 {O(n)}
40: n_eval_foo_bb1_in___14->n_eval_foo_bb5_in___12, Arg_2: Arg_2 {O(n)}
41: n_eval_foo_bb1_in___3->n_eval_foo_bb2_in___2, Arg_0: 0 {O(1)}
41: n_eval_foo_bb1_in___3->n_eval_foo_bb2_in___2, Arg_1: 1 {O(1)}
41: n_eval_foo_bb1_in___3->n_eval_foo_bb2_in___2, Arg_2: 2*Arg_2 {O(n)}
42: n_eval_foo_bb1_in___3->n_eval_foo_bb5_in___5, Arg_0: 1 {O(1)}
42: n_eval_foo_bb1_in___3->n_eval_foo_bb5_in___5, Arg_1: 1 {O(1)}
42: n_eval_foo_bb1_in___3->n_eval_foo_bb5_in___5, Arg_2: 2*Arg_2 {O(n)}
43: n_eval_foo_bb1_in___6->n_eval_foo_bb2_in___13, Arg_0: Arg_2 {O(n)}
43: n_eval_foo_bb1_in___6->n_eval_foo_bb2_in___13, Arg_1: 1 {O(1)}
43: n_eval_foo_bb1_in___6->n_eval_foo_bb2_in___13, Arg_2: Arg_2 {O(n)}
45: n_eval_foo_bb2_in___13->n_eval_foo_bb3_in___11, Arg_0: Arg_2 {O(n)}
45: n_eval_foo_bb2_in___13->n_eval_foo_bb3_in___11, Arg_1: 1 {O(1)}
45: n_eval_foo_bb2_in___13->n_eval_foo_bb3_in___11, Arg_2: Arg_2 {O(n)}
46: n_eval_foo_bb2_in___13->n_eval_foo_bb4_in___10, Arg_0: 1 {O(1)}
46: n_eval_foo_bb2_in___13->n_eval_foo_bb4_in___10, Arg_1: 1 {O(1)}
46: n_eval_foo_bb2_in___13->n_eval_foo_bb4_in___10, Arg_2: 2*Arg_2 {O(n)}
47: n_eval_foo_bb2_in___2->n_eval_foo_bb4_in___10, Arg_0: 0 {O(1)}
47: n_eval_foo_bb2_in___2->n_eval_foo_bb4_in___10, Arg_1: 1 {O(1)}
47: n_eval_foo_bb2_in___2->n_eval_foo_bb4_in___10, Arg_2: 2*Arg_2 {O(n)}
48: n_eval_foo_bb2_in___9->n_eval_foo_bb3_in___8, Arg_0: Arg_2 {O(n)}
48: n_eval_foo_bb2_in___9->n_eval_foo_bb3_in___8, Arg_1: Arg_2*Arg_2+Arg_2+2 {O(n^2)}
48: n_eval_foo_bb2_in___9->n_eval_foo_bb3_in___8, Arg_2: Arg_2 {O(n)}
49: n_eval_foo_bb2_in___9->n_eval_foo_bb4_in___7, Arg_0: Arg_2 {O(n)}
49: n_eval_foo_bb2_in___9->n_eval_foo_bb4_in___7, Arg_1: Arg_2*Arg_2+Arg_2+4 {O(n^2)}
49: n_eval_foo_bb2_in___9->n_eval_foo_bb4_in___7, Arg_2: Arg_2 {O(n)}
50: n_eval_foo_bb3_in___11->n_eval_foo_bb2_in___9, Arg_0: Arg_2 {O(n)}
50: n_eval_foo_bb3_in___11->n_eval_foo_bb2_in___9, Arg_1: 2 {O(1)}
50: n_eval_foo_bb3_in___11->n_eval_foo_bb2_in___9, Arg_2: Arg_2 {O(n)}
51: n_eval_foo_bb3_in___8->n_eval_foo_bb2_in___9, Arg_0: Arg_2 {O(n)}
51: n_eval_foo_bb3_in___8->n_eval_foo_bb2_in___9, Arg_1: Arg_2*Arg_2+Arg_2+2 {O(n^2)}
51: n_eval_foo_bb3_in___8->n_eval_foo_bb2_in___9, Arg_2: Arg_2 {O(n)}
52: n_eval_foo_bb4_in___10->n_eval_foo_bb1_in___3, Arg_0: 1 {O(1)}
52: n_eval_foo_bb4_in___10->n_eval_foo_bb1_in___3, Arg_1: 1 {O(1)}
52: n_eval_foo_bb4_in___10->n_eval_foo_bb1_in___3, Arg_2: 2*Arg_2 {O(n)}
53: n_eval_foo_bb4_in___7->n_eval_foo_bb1_in___6, Arg_0: Arg_2 {O(n)}
53: n_eval_foo_bb4_in___7->n_eval_foo_bb1_in___6, Arg_1: Arg_2*Arg_2+Arg_2+4 {O(n^2)}
53: n_eval_foo_bb4_in___7->n_eval_foo_bb1_in___6, Arg_2: Arg_2 {O(n)}
54: n_eval_foo_bb5_in___12->n_eval_foo_stop___1, Arg_0: Arg_2 {O(n)}
54: n_eval_foo_bb5_in___12->n_eval_foo_stop___1, Arg_1: Arg_1 {O(n)}
54: n_eval_foo_bb5_in___12->n_eval_foo_stop___1, Arg_2: Arg_2 {O(n)}
55: n_eval_foo_bb5_in___5->n_eval_foo_stop___4, Arg_0: 1 {O(1)}
55: n_eval_foo_bb5_in___5->n_eval_foo_stop___4, Arg_1: 1 {O(1)}
55: n_eval_foo_bb5_in___5->n_eval_foo_stop___4, Arg_2: 2*Arg_2 {O(n)}
56: n_eval_foo_start->n_eval_foo_bb0_in___15, Arg_0: Arg_0 {O(n)}
56: n_eval_foo_start->n_eval_foo_bb0_in___15, Arg_1: Arg_1 {O(n)}
56: n_eval_foo_start->n_eval_foo_bb0_in___15, Arg_2: Arg_2 {O(n)}