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___17, n_eval_foo_bb1_in___16, 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___10, n_eval_foo_bb3_in___13, n_eval_foo_bb4_in___11, n_eval_foo_bb5_in___12, n_eval_foo_bb5_in___5, n_eval_foo_bb5_in___9, n_eval_foo_bb6_in___15, n_eval_foo_bb6_in___6, n_eval_foo_start, n_eval_foo_stop___1, n_eval_foo_stop___2
Transitions:
0:n_eval_foo_bb0_in___17(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb1_in___16(Arg_2,Arg_1,Arg_2,Arg_3,Arg_4):|:0<=Arg_2
1:n_eval_foo_bb0_in___17(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb6_in___15(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_2<0
2:n_eval_foo_bb1_in___16(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb2_in___14(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:0<=Arg_0 && Arg_0<=Arg_2 && Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_0 && 0<=Arg_0
3:n_eval_foo_bb1_in___4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb2_in___3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_0<=1 && 0<=Arg_0
4:n_eval_foo_bb1_in___4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb6_in___6(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_0<=1 && Arg_0<0
5:n_eval_foo_bb1_in___8(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb2_in___7(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:0<=Arg_0
6:n_eval_foo_bb1_in___8(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb6_in___6(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_0<0
7:n_eval_foo_bb2_in___14(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb3_in___13(Arg_0,1,Arg_2,Arg_3,Arg_4):|:0<=Arg_2 && Arg_0<=Arg_2 && Arg_2<=Arg_0 && 1<Arg_0
8:n_eval_foo_bb2_in___14(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb5_in___12(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:0<=Arg_2 && Arg_0<=Arg_2 && Arg_2<=Arg_0 && Arg_0<=1
9:n_eval_foo_bb2_in___3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb5_in___5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_0<=1 && 0<=Arg_0 && Arg_0<=1
10:n_eval_foo_bb2_in___7(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb3_in___13(Arg_0,1,Arg_2,Arg_3,Arg_4):|:0<=Arg_0 && 1<Arg_0
11:n_eval_foo_bb2_in___7(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb5_in___5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:0<=Arg_0 && Arg_0<=1
12:n_eval_foo_bb3_in___10(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb4_in___11(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_1<Arg_0
13:n_eval_foo_bb3_in___10(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb5_in___9(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_0<=Arg_1
14:n_eval_foo_bb3_in___13(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb4_in___11(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_1<Arg_0 && Arg_1<Arg_0
15:n_eval_foo_bb4_in___11(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb3_in___10(Arg_0,2*Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_1<Arg_0
16:n_eval_foo_bb5_in___12(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb1_in___4(Arg_0-1,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_2<=1 && 0<=Arg_2 && Arg_0<=Arg_2 && Arg_2<=Arg_0
17:n_eval_foo_bb5_in___5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb1_in___4(Arg_0-1,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_0<=1 && 0<=Arg_0
18:n_eval_foo_bb5_in___9(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb1_in___8(Arg_0-1,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_0<=Arg_1
19:n_eval_foo_bb6_in___15(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):|:Arg_2<0
20:n_eval_foo_bb6_in___6(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_stop___2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_0<0
21:n_eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb0_in___17(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)

Preprocessing

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

Found invariant 2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 for location n_eval_foo_bb4_in___11

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

Found invariant 2<=Arg_2 && 4<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 for location n_eval_foo_bb2_in___7

Found invariant 0<=Arg_2 && 0<=1+Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 1+Arg_0<=0 && 0<=1+Arg_0 for location n_eval_foo_bb6_in___6

Found invariant Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 0<=Arg_0 for location n_eval_foo_bb1_in___16

Found invariant 0<=Arg_2 && 0<=1+Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_0<=0 && 0<=1+Arg_0 for location n_eval_foo_bb1_in___4

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

Found invariant Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 0<=Arg_0 for location n_eval_foo_bb2_in___14

Found invariant 0<=Arg_2 && 0<=1+Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 1+Arg_0<=0 && 0<=1+Arg_0 for location n_eval_foo_stop___2

Found invariant 2<=Arg_2 && 4<=Arg_1+Arg_2 && 4<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && 2<=Arg_0 for location n_eval_foo_bb3_in___10

Found invariant 1+Arg_2<=0 for location n_eval_foo_stop___1

Found invariant 2<=Arg_2 && 4<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 for location n_eval_foo_bb1_in___8

Found invariant 1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_0<=0 && 0<=Arg_0 for location n_eval_foo_bb2_in___3

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___13

Found invariant 2<=Arg_2 && 4<=Arg_1+Arg_2 && 4<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 2<=Arg_0 for location n_eval_foo_bb5_in___9

Found invariant 1+Arg_2<=0 for location n_eval_foo_bb6_in___15

Cut unsatisfiable transition 50: n_eval_foo_bb1_in___8->n_eval_foo_bb6_in___6

Problem after Preprocessing

Start: n_eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_2
Temp_Vars:
Locations: n_eval_foo_bb0_in___17, n_eval_foo_bb1_in___16, 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___10, n_eval_foo_bb3_in___13, n_eval_foo_bb4_in___11, n_eval_foo_bb5_in___12, n_eval_foo_bb5_in___5, n_eval_foo_bb5_in___9, n_eval_foo_bb6_in___15, n_eval_foo_bb6_in___6, n_eval_foo_start, n_eval_foo_stop___1, n_eval_foo_stop___2
Transitions:
44:n_eval_foo_bb0_in___17(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb1_in___16(Arg_2,Arg_1,Arg_2):|:0<=Arg_2
45:n_eval_foo_bb0_in___17(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb6_in___15(Arg_0,Arg_1,Arg_2):|:Arg_2<0
46:n_eval_foo_bb1_in___16(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb2_in___14(Arg_0,Arg_1,Arg_2):|:Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 0<=Arg_0 && 0<=Arg_0 && Arg_0<=Arg_2 && Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_0 && 0<=Arg_0
47:n_eval_foo_bb1_in___4(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb2_in___3(Arg_0,Arg_1,Arg_2):|:0<=Arg_2 && 0<=1+Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_0<=0 && 0<=1+Arg_0 && Arg_0<=1 && 0<=Arg_0
48:n_eval_foo_bb1_in___4(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb6_in___6(Arg_0,Arg_1,Arg_2):|:0<=Arg_2 && 0<=1+Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_0<=0 && 0<=1+Arg_0 && Arg_0<=1 && Arg_0<0
49:n_eval_foo_bb1_in___8(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb2_in___7(Arg_0,Arg_1,Arg_2):|:2<=Arg_2 && 4<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 && 0<=Arg_0
51:n_eval_foo_bb2_in___14(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb3_in___13(Arg_0,1,Arg_2):|:Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 0<=Arg_0 && 0<=Arg_2 && Arg_0<=Arg_2 && Arg_2<=Arg_0 && 1<Arg_0
52:n_eval_foo_bb2_in___14(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb5_in___12(Arg_0,Arg_1,Arg_2):|:Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 0<=Arg_0 && 0<=Arg_2 && Arg_0<=Arg_2 && Arg_2<=Arg_0 && Arg_0<=1
53:n_eval_foo_bb2_in___3(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb5_in___5(Arg_0,Arg_1,Arg_2):|:1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_0<=0 && 0<=Arg_0 && Arg_0<=1 && 0<=Arg_0 && Arg_0<=1
54:n_eval_foo_bb2_in___7(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb3_in___13(Arg_0,1,Arg_2):|:2<=Arg_2 && 4<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 && 0<=Arg_0 && 1<Arg_0
55:n_eval_foo_bb2_in___7(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb5_in___5(Arg_0,Arg_1,Arg_2):|:2<=Arg_2 && 4<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 && 0<=Arg_0 && Arg_0<=1
56:n_eval_foo_bb3_in___10(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb4_in___11(Arg_0,Arg_1,Arg_2):|:2<=Arg_2 && 4<=Arg_1+Arg_2 && 4<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_1<Arg_0
57:n_eval_foo_bb3_in___10(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb5_in___9(Arg_0,Arg_1,Arg_2):|:2<=Arg_2 && 4<=Arg_1+Arg_2 && 4<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_0<=Arg_1
58:n_eval_foo_bb3_in___13(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb4_in___11(Arg_0,Arg_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 && Arg_1<Arg_0 && Arg_1<Arg_0
59:n_eval_foo_bb4_in___11(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb3_in___10(Arg_0,2*Arg_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 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_1<Arg_0
60:n_eval_foo_bb5_in___12(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb1_in___4(Arg_0-1,Arg_1,Arg_2):|:Arg_2<=1 && Arg_2<=Arg_0 && Arg_0+Arg_2<=2 && 0<=Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_0<=1 && 0<=Arg_0 && Arg_2<=1 && 0<=Arg_2 && Arg_0<=Arg_2 && Arg_2<=Arg_0
61:n_eval_foo_bb5_in___5(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb1_in___4(Arg_0-1,Arg_1,Arg_2):|:1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_0<=1 && 0<=Arg_0 && Arg_0<=1 && 0<=Arg_0
62:n_eval_foo_bb5_in___9(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb1_in___8(Arg_0-1,Arg_1,Arg_2):|:2<=Arg_2 && 4<=Arg_1+Arg_2 && 4<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 2<=Arg_0 && Arg_0<=Arg_1
63:n_eval_foo_bb6_in___15(Arg_0,Arg_1,Arg_2) -> n_eval_foo_stop___1(Arg_0,Arg_1,Arg_2):|:1+Arg_2<=0 && Arg_2<0
64:n_eval_foo_bb6_in___6(Arg_0,Arg_1,Arg_2) -> n_eval_foo_stop___2(Arg_0,Arg_1,Arg_2):|:0<=Arg_2 && 0<=1+Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 1+Arg_0<=0 && 0<=1+Arg_0 && Arg_0<0
65:n_eval_foo_start(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb0_in___17(Arg_0,Arg_1,Arg_2)

MPRF for transition 49:n_eval_foo_bb1_in___8(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb2_in___7(Arg_0,Arg_1,Arg_2):|:2<=Arg_2 && 4<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 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___7 [Arg_0 ]
n_eval_foo_bb3_in___13 [Arg_0 ]
n_eval_foo_bb4_in___11 [Arg_0 ]
n_eval_foo_bb3_in___10 [Arg_0 ]
n_eval_foo_bb5_in___9 [Arg_0 ]
n_eval_foo_bb1_in___8 [Arg_0+1 ]

MPRF for transition 54:n_eval_foo_bb2_in___7(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb3_in___13(Arg_0,1,Arg_2):|:2<=Arg_2 && 4<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 && 0<=Arg_0 && 1<Arg_0 of depth 1:

new bound:

Arg_2 {O(n)}

MPRF:

n_eval_foo_bb2_in___7 [Arg_0+1 ]
n_eval_foo_bb3_in___13 [Arg_0 ]
n_eval_foo_bb4_in___11 [Arg_0 ]
n_eval_foo_bb3_in___10 [Arg_0 ]
n_eval_foo_bb5_in___9 [Arg_0 ]
n_eval_foo_bb1_in___8 [Arg_0+1 ]

MPRF for transition 57:n_eval_foo_bb3_in___10(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb5_in___9(Arg_0,Arg_1,Arg_2):|:2<=Arg_2 && 4<=Arg_1+Arg_2 && 4<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 2<=Arg_1 && 4<=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___7 [Arg_0 ]
n_eval_foo_bb3_in___13 [Arg_0 ]
n_eval_foo_bb4_in___11 [Arg_0 ]
n_eval_foo_bb3_in___10 [Arg_0 ]
n_eval_foo_bb5_in___9 [Arg_0-1 ]
n_eval_foo_bb1_in___8 [Arg_0 ]

MPRF for transition 58:n_eval_foo_bb3_in___13(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb4_in___11(Arg_0,Arg_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 && Arg_1<Arg_0 && Arg_1<Arg_0 of depth 1:

new bound:

Arg_2+1 {O(n)}

MPRF:

n_eval_foo_bb2_in___7 [Arg_0+1 ]
n_eval_foo_bb3_in___13 [Arg_0+1 ]
n_eval_foo_bb4_in___11 [Arg_0 ]
n_eval_foo_bb3_in___10 [Arg_0 ]
n_eval_foo_bb5_in___9 [Arg_0 ]
n_eval_foo_bb1_in___8 [Arg_0+1 ]

MPRF for transition 62:n_eval_foo_bb5_in___9(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb1_in___8(Arg_0-1,Arg_1,Arg_2):|:2<=Arg_2 && 4<=Arg_1+Arg_2 && 4<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 2<=Arg_0 && Arg_0<=Arg_1 of depth 1:

new bound:

2*Arg_2+3 {O(n)}

MPRF:

n_eval_foo_bb2_in___7 [Arg_0+Arg_2-3 ]
n_eval_foo_bb3_in___13 [Arg_0+Arg_2-3 ]
n_eval_foo_bb4_in___11 [Arg_0+Arg_2-3 ]
n_eval_foo_bb3_in___10 [Arg_0+Arg_2-3 ]
n_eval_foo_bb5_in___9 [Arg_0+Arg_2-3 ]
n_eval_foo_bb1_in___8 [Arg_0+Arg_2-3 ]

MPRF for transition 56:n_eval_foo_bb3_in___10(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb4_in___11(Arg_0,Arg_1,Arg_2):|:2<=Arg_2 && 4<=Arg_1+Arg_2 && 4<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_1<Arg_0 of depth 1:

new bound:

2*Arg_2*Arg_2+4*Arg_2+1 {O(n^2)}

MPRF:

n_eval_foo_bb1_in___8 [Arg_0 ]
n_eval_foo_bb2_in___7 [Arg_0 ]
n_eval_foo_bb5_in___9 [Arg_0-Arg_1 ]
n_eval_foo_bb3_in___13 [Arg_0-Arg_1 ]
n_eval_foo_bb4_in___11 [Arg_0-Arg_1-1 ]
n_eval_foo_bb3_in___10 [Arg_0-Arg_1 ]

MPRF for transition 59:n_eval_foo_bb4_in___11(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb3_in___10(Arg_0,2*Arg_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 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_1<Arg_0 of depth 1:

new bound:

4*Arg_2*Arg_2+8*Arg_2+2 {O(n^2)}

MPRF:

n_eval_foo_bb1_in___8 [2*Arg_2 ]
n_eval_foo_bb2_in___7 [2*Arg_2 ]
n_eval_foo_bb5_in___9 [1-Arg_1 ]
n_eval_foo_bb3_in___13 [2*Arg_2-2*Arg_1 ]
n_eval_foo_bb4_in___11 [2*Arg_0-2*Arg_1-1 ]
n_eval_foo_bb3_in___10 [2*Arg_0-Arg_1-3 ]

MPRF for transition 47:n_eval_foo_bb1_in___4(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb2_in___3(Arg_0,Arg_1,Arg_2):|:0<=Arg_2 && 0<=1+Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_0<=0 && 0<=1+Arg_0 && Arg_0<=1 && 0<=Arg_0 of depth 1:

new bound:

3 {O(1)}

MPRF:

n_eval_foo_bb2_in___3 [0 ]
n_eval_foo_bb5_in___5 [Arg_0 ]
n_eval_foo_bb1_in___4 [Arg_0+1 ]

MPRF for transition 53:n_eval_foo_bb2_in___3(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb5_in___5(Arg_0,Arg_1,Arg_2):|:1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_0<=0 && 0<=Arg_0 && Arg_0<=1 && 0<=Arg_0 && Arg_0<=1 of depth 1:

new bound:

3 {O(1)}

MPRF:

n_eval_foo_bb2_in___3 [1 ]
n_eval_foo_bb5_in___5 [Arg_0 ]
n_eval_foo_bb1_in___4 [Arg_0+1 ]

MPRF for transition 61:n_eval_foo_bb5_in___5(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb1_in___4(Arg_0-1,Arg_1,Arg_2):|:1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_0<=1 && 0<=Arg_0 && Arg_0<=1 && 0<=Arg_0 of depth 1:

new bound:

4 {O(1)}

MPRF:

n_eval_foo_bb2_in___3 [1 ]
n_eval_foo_bb5_in___5 [Arg_0+1 ]
n_eval_foo_bb1_in___4 [Arg_0+1 ]

All Bounds

Timebounds

Overall timebound:6*Arg_2*Arg_2+18*Arg_2+28 {O(n^2)}
44: n_eval_foo_bb0_in___17->n_eval_foo_bb1_in___16: 1 {O(1)}
45: n_eval_foo_bb0_in___17->n_eval_foo_bb6_in___15: 1 {O(1)}
46: n_eval_foo_bb1_in___16->n_eval_foo_bb2_in___14: 1 {O(1)}
47: n_eval_foo_bb1_in___4->n_eval_foo_bb2_in___3: 3 {O(1)}
48: n_eval_foo_bb1_in___4->n_eval_foo_bb6_in___6: 1 {O(1)}
49: n_eval_foo_bb1_in___8->n_eval_foo_bb2_in___7: Arg_2 {O(n)}
51: n_eval_foo_bb2_in___14->n_eval_foo_bb3_in___13: 1 {O(1)}
52: n_eval_foo_bb2_in___14->n_eval_foo_bb5_in___12: 1 {O(1)}
53: n_eval_foo_bb2_in___3->n_eval_foo_bb5_in___5: 3 {O(1)}
54: n_eval_foo_bb2_in___7->n_eval_foo_bb3_in___13: Arg_2 {O(n)}
55: n_eval_foo_bb2_in___7->n_eval_foo_bb5_in___5: 1 {O(1)}
56: n_eval_foo_bb3_in___10->n_eval_foo_bb4_in___11: 2*Arg_2*Arg_2+4*Arg_2+1 {O(n^2)}
57: n_eval_foo_bb3_in___10->n_eval_foo_bb5_in___9: Arg_2 {O(n)}
58: n_eval_foo_bb3_in___13->n_eval_foo_bb4_in___11: Arg_2+1 {O(n)}
59: n_eval_foo_bb4_in___11->n_eval_foo_bb3_in___10: 4*Arg_2*Arg_2+8*Arg_2+2 {O(n^2)}
60: n_eval_foo_bb5_in___12->n_eval_foo_bb1_in___4: 1 {O(1)}
61: n_eval_foo_bb5_in___5->n_eval_foo_bb1_in___4: 4 {O(1)}
62: n_eval_foo_bb5_in___9->n_eval_foo_bb1_in___8: 2*Arg_2+3 {O(n)}
63: n_eval_foo_bb6_in___15->n_eval_foo_stop___1: 1 {O(1)}
64: n_eval_foo_bb6_in___6->n_eval_foo_stop___2: 1 {O(1)}
65: n_eval_foo_start->n_eval_foo_bb0_in___17: 1 {O(1)}

Costbounds

Overall costbound: 6*Arg_2*Arg_2+18*Arg_2+28 {O(n^2)}
44: n_eval_foo_bb0_in___17->n_eval_foo_bb1_in___16: 1 {O(1)}
45: n_eval_foo_bb0_in___17->n_eval_foo_bb6_in___15: 1 {O(1)}
46: n_eval_foo_bb1_in___16->n_eval_foo_bb2_in___14: 1 {O(1)}
47: n_eval_foo_bb1_in___4->n_eval_foo_bb2_in___3: 3 {O(1)}
48: n_eval_foo_bb1_in___4->n_eval_foo_bb6_in___6: 1 {O(1)}
49: n_eval_foo_bb1_in___8->n_eval_foo_bb2_in___7: Arg_2 {O(n)}
51: n_eval_foo_bb2_in___14->n_eval_foo_bb3_in___13: 1 {O(1)}
52: n_eval_foo_bb2_in___14->n_eval_foo_bb5_in___12: 1 {O(1)}
53: n_eval_foo_bb2_in___3->n_eval_foo_bb5_in___5: 3 {O(1)}
54: n_eval_foo_bb2_in___7->n_eval_foo_bb3_in___13: Arg_2 {O(n)}
55: n_eval_foo_bb2_in___7->n_eval_foo_bb5_in___5: 1 {O(1)}
56: n_eval_foo_bb3_in___10->n_eval_foo_bb4_in___11: 2*Arg_2*Arg_2+4*Arg_2+1 {O(n^2)}
57: n_eval_foo_bb3_in___10->n_eval_foo_bb5_in___9: Arg_2 {O(n)}
58: n_eval_foo_bb3_in___13->n_eval_foo_bb4_in___11: Arg_2+1 {O(n)}
59: n_eval_foo_bb4_in___11->n_eval_foo_bb3_in___10: 4*Arg_2*Arg_2+8*Arg_2+2 {O(n^2)}
60: n_eval_foo_bb5_in___12->n_eval_foo_bb1_in___4: 1 {O(1)}
61: n_eval_foo_bb5_in___5->n_eval_foo_bb1_in___4: 4 {O(1)}
62: n_eval_foo_bb5_in___9->n_eval_foo_bb1_in___8: 2*Arg_2+3 {O(n)}
63: n_eval_foo_bb6_in___15->n_eval_foo_stop___1: 1 {O(1)}
64: n_eval_foo_bb6_in___6->n_eval_foo_stop___2: 1 {O(1)}
65: n_eval_foo_start->n_eval_foo_bb0_in___17: 1 {O(1)}

Sizebounds

44: n_eval_foo_bb0_in___17->n_eval_foo_bb1_in___16, Arg_0: Arg_2 {O(n)}
44: n_eval_foo_bb0_in___17->n_eval_foo_bb1_in___16, Arg_1: Arg_1 {O(n)}
44: n_eval_foo_bb0_in___17->n_eval_foo_bb1_in___16, Arg_2: Arg_2 {O(n)}
45: n_eval_foo_bb0_in___17->n_eval_foo_bb6_in___15, Arg_0: Arg_0 {O(n)}
45: n_eval_foo_bb0_in___17->n_eval_foo_bb6_in___15, Arg_1: Arg_1 {O(n)}
45: n_eval_foo_bb0_in___17->n_eval_foo_bb6_in___15, Arg_2: Arg_2 {O(n)}
46: n_eval_foo_bb1_in___16->n_eval_foo_bb2_in___14, Arg_0: Arg_2 {O(n)}
46: n_eval_foo_bb1_in___16->n_eval_foo_bb2_in___14, Arg_1: Arg_1 {O(n)}
46: n_eval_foo_bb1_in___16->n_eval_foo_bb2_in___14, Arg_2: Arg_2 {O(n)}
47: n_eval_foo_bb1_in___4->n_eval_foo_bb2_in___3, Arg_0: 0 {O(1)}
47: n_eval_foo_bb1_in___4->n_eval_foo_bb2_in___3, Arg_1: 2^(4*Arg_2*Arg_2+8*Arg_2+2)+Arg_1 {O(EXP)}
47: n_eval_foo_bb1_in___4->n_eval_foo_bb2_in___3, Arg_2: Arg_2+1 {O(n)}
48: n_eval_foo_bb1_in___4->n_eval_foo_bb6_in___6, Arg_0: 1 {O(1)}
48: n_eval_foo_bb1_in___4->n_eval_foo_bb6_in___6, Arg_1: 2^(4*Arg_2*Arg_2+8*Arg_2+2)+2*Arg_1 {O(EXP)}
48: n_eval_foo_bb1_in___4->n_eval_foo_bb6_in___6, Arg_2: Arg_2+2 {O(n)}
49: n_eval_foo_bb1_in___8->n_eval_foo_bb2_in___7, Arg_0: Arg_2 {O(n)}
49: n_eval_foo_bb1_in___8->n_eval_foo_bb2_in___7, Arg_1: 2^(4*Arg_2*Arg_2+8*Arg_2+2) {O(EXP)}
49: n_eval_foo_bb1_in___8->n_eval_foo_bb2_in___7, Arg_2: Arg_2 {O(n)}
51: n_eval_foo_bb2_in___14->n_eval_foo_bb3_in___13, Arg_0: Arg_2 {O(n)}
51: n_eval_foo_bb2_in___14->n_eval_foo_bb3_in___13, Arg_1: 1 {O(1)}
51: n_eval_foo_bb2_in___14->n_eval_foo_bb3_in___13, Arg_2: Arg_2 {O(n)}
52: n_eval_foo_bb2_in___14->n_eval_foo_bb5_in___12, Arg_0: 1 {O(1)}
52: n_eval_foo_bb2_in___14->n_eval_foo_bb5_in___12, Arg_1: Arg_1 {O(n)}
52: n_eval_foo_bb2_in___14->n_eval_foo_bb5_in___12, Arg_2: 1 {O(1)}
53: n_eval_foo_bb2_in___3->n_eval_foo_bb5_in___5, Arg_0: 0 {O(1)}
53: n_eval_foo_bb2_in___3->n_eval_foo_bb5_in___5, Arg_1: 2^(4*Arg_2*Arg_2+8*Arg_2+2)+Arg_1 {O(EXP)}
53: n_eval_foo_bb2_in___3->n_eval_foo_bb5_in___5, Arg_2: Arg_2+1 {O(n)}
54: n_eval_foo_bb2_in___7->n_eval_foo_bb3_in___13, Arg_0: Arg_2 {O(n)}
54: n_eval_foo_bb2_in___7->n_eval_foo_bb3_in___13, Arg_1: 1 {O(1)}
54: n_eval_foo_bb2_in___7->n_eval_foo_bb3_in___13, Arg_2: Arg_2 {O(n)}
55: n_eval_foo_bb2_in___7->n_eval_foo_bb5_in___5, Arg_0: 1 {O(1)}
55: n_eval_foo_bb2_in___7->n_eval_foo_bb5_in___5, Arg_1: 2^(4*Arg_2*Arg_2+8*Arg_2+2) {O(EXP)}
55: n_eval_foo_bb2_in___7->n_eval_foo_bb5_in___5, Arg_2: Arg_2 {O(n)}
56: n_eval_foo_bb3_in___10->n_eval_foo_bb4_in___11, Arg_0: Arg_2 {O(n)}
56: n_eval_foo_bb3_in___10->n_eval_foo_bb4_in___11, Arg_1: 2^(4*Arg_2*Arg_2+8*Arg_2+2) {O(EXP)}
56: n_eval_foo_bb3_in___10->n_eval_foo_bb4_in___11, Arg_2: Arg_2 {O(n)}
57: n_eval_foo_bb3_in___10->n_eval_foo_bb5_in___9, Arg_0: Arg_2 {O(n)}
57: n_eval_foo_bb3_in___10->n_eval_foo_bb5_in___9, Arg_1: 2^(4*Arg_2*Arg_2+8*Arg_2+2) {O(EXP)}
57: n_eval_foo_bb3_in___10->n_eval_foo_bb5_in___9, Arg_2: Arg_2 {O(n)}
58: n_eval_foo_bb3_in___13->n_eval_foo_bb4_in___11, Arg_0: Arg_2 {O(n)}
58: n_eval_foo_bb3_in___13->n_eval_foo_bb4_in___11, Arg_1: 1 {O(1)}
58: n_eval_foo_bb3_in___13->n_eval_foo_bb4_in___11, Arg_2: Arg_2 {O(n)}
59: n_eval_foo_bb4_in___11->n_eval_foo_bb3_in___10, Arg_0: Arg_2 {O(n)}
59: n_eval_foo_bb4_in___11->n_eval_foo_bb3_in___10, Arg_1: 2^(4*Arg_2*Arg_2+8*Arg_2+2) {O(EXP)}
59: n_eval_foo_bb4_in___11->n_eval_foo_bb3_in___10, Arg_2: Arg_2 {O(n)}
60: n_eval_foo_bb5_in___12->n_eval_foo_bb1_in___4, Arg_0: 1 {O(1)}
60: n_eval_foo_bb5_in___12->n_eval_foo_bb1_in___4, Arg_1: Arg_1 {O(n)}
60: n_eval_foo_bb5_in___12->n_eval_foo_bb1_in___4, Arg_2: 1 {O(1)}
61: n_eval_foo_bb5_in___5->n_eval_foo_bb1_in___4, Arg_0: 1 {O(1)}
61: n_eval_foo_bb5_in___5->n_eval_foo_bb1_in___4, Arg_1: 2^(4*Arg_2*Arg_2+8*Arg_2+2)+Arg_1 {O(EXP)}
61: n_eval_foo_bb5_in___5->n_eval_foo_bb1_in___4, Arg_2: Arg_2+1 {O(n)}
62: n_eval_foo_bb5_in___9->n_eval_foo_bb1_in___8, Arg_0: Arg_2 {O(n)}
62: n_eval_foo_bb5_in___9->n_eval_foo_bb1_in___8, Arg_1: 2^(4*Arg_2*Arg_2+8*Arg_2+2) {O(EXP)}
62: n_eval_foo_bb5_in___9->n_eval_foo_bb1_in___8, Arg_2: Arg_2 {O(n)}
63: n_eval_foo_bb6_in___15->n_eval_foo_stop___1, Arg_0: Arg_0 {O(n)}
63: n_eval_foo_bb6_in___15->n_eval_foo_stop___1, Arg_1: Arg_1 {O(n)}
63: n_eval_foo_bb6_in___15->n_eval_foo_stop___1, Arg_2: Arg_2 {O(n)}
64: n_eval_foo_bb6_in___6->n_eval_foo_stop___2, Arg_0: 1 {O(1)}
64: n_eval_foo_bb6_in___6->n_eval_foo_stop___2, Arg_1: 2^(4*Arg_2*Arg_2+8*Arg_2+2)+2*Arg_1 {O(EXP)}
64: n_eval_foo_bb6_in___6->n_eval_foo_stop___2, Arg_2: Arg_2+2 {O(n)}
65: n_eval_foo_start->n_eval_foo_bb0_in___17, Arg_0: Arg_0 {O(n)}
65: n_eval_foo_start->n_eval_foo_bb0_in___17, Arg_1: Arg_1 {O(n)}
65: n_eval_foo_start->n_eval_foo_bb0_in___17, Arg_2: Arg_2 {O(n)}