Initial Problem

Start: n_eval_loops_start
Program_Vars: Arg_0, Arg_1, Arg_2
Temp_Vars:
Locations: n_eval_loops_bb0_in___17, n_eval_loops_bb1_in___16, n_eval_loops_bb1_in___4, n_eval_loops_bb1_in___8, n_eval_loops_bb2_in___14, n_eval_loops_bb2_in___3, n_eval_loops_bb2_in___7, n_eval_loops_bb3_in___10, n_eval_loops_bb3_in___13, n_eval_loops_bb4_in___11, n_eval_loops_bb5_in___12, n_eval_loops_bb5_in___5, n_eval_loops_bb5_in___9, n_eval_loops_bb6_in___15, n_eval_loops_bb6_in___6, n_eval_loops_start, n_eval_loops_stop___1, n_eval_loops_stop___2
Transitions:
0:n_eval_loops_bb0_in___17(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb1_in___16(Arg_0,Arg_0,Arg_2):|:0<=Arg_0
1:n_eval_loops_bb0_in___17(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb6_in___15(Arg_0,Arg_1,Arg_2):|:Arg_0<0
2:n_eval_loops_bb1_in___16(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb2_in___14(Arg_0,Arg_1,Arg_2):|:0<=Arg_1 && Arg_0<=Arg_1 && Arg_1<=Arg_0 && 0<=Arg_1 && 0<=Arg_1 && 0<=Arg_1
3:n_eval_loops_bb1_in___4(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb2_in___3(Arg_0,Arg_1,Arg_2):|:Arg_1<=1 && 0<=Arg_1
4:n_eval_loops_bb1_in___4(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb6_in___6(Arg_0,Arg_1,Arg_2):|:Arg_1<=1 && Arg_1<0
5:n_eval_loops_bb1_in___8(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb2_in___7(Arg_0,Arg_1,Arg_2):|:0<=Arg_1
6:n_eval_loops_bb1_in___8(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb6_in___6(Arg_0,Arg_1,Arg_2):|:Arg_1<0
7:n_eval_loops_bb2_in___14(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb3_in___13(Arg_0,Arg_1,1):|:0<=Arg_1 && Arg_0<=Arg_1 && Arg_1<=Arg_0 && 1<Arg_1
8:n_eval_loops_bb2_in___14(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb5_in___12(Arg_0,Arg_1,Arg_2):|:0<=Arg_1 && Arg_0<=Arg_1 && Arg_1<=Arg_0 && Arg_1<=1
9:n_eval_loops_bb2_in___3(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb5_in___5(Arg_0,Arg_1,Arg_2):|:Arg_1<=1 && 0<=Arg_1 && Arg_1<=1
10:n_eval_loops_bb2_in___7(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb3_in___13(Arg_0,Arg_1,1):|:0<=Arg_1 && 1<Arg_1
11:n_eval_loops_bb2_in___7(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb5_in___5(Arg_0,Arg_1,Arg_2):|:0<=Arg_1 && Arg_1<=1
12:n_eval_loops_bb3_in___10(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb4_in___11(Arg_0,Arg_1,Arg_2):|:Arg_2<Arg_1
13:n_eval_loops_bb3_in___10(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb5_in___9(Arg_0,Arg_1,Arg_2):|:Arg_1<=Arg_2
14:n_eval_loops_bb3_in___13(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb4_in___11(Arg_0,Arg_1,Arg_2):|:Arg_2<Arg_1 && Arg_2<Arg_1
15:n_eval_loops_bb4_in___11(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb3_in___10(Arg_0,Arg_1,2*Arg_2):|:Arg_2<Arg_1
16:n_eval_loops_bb5_in___12(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb1_in___4(Arg_0,Arg_1-1,Arg_2):|:Arg_1<=1 && 0<=Arg_1 && Arg_0<=Arg_1 && Arg_1<=Arg_0
17:n_eval_loops_bb5_in___5(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb1_in___4(Arg_0,Arg_1-1,Arg_2):|:Arg_1<=1 && 0<=Arg_1
18:n_eval_loops_bb5_in___9(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb1_in___8(Arg_0,Arg_1-1,Arg_2):|:Arg_1<=Arg_2
19:n_eval_loops_bb6_in___15(Arg_0,Arg_1,Arg_2) -> n_eval_loops_stop___1(Arg_0,Arg_1,Arg_2):|:Arg_0<0
20:n_eval_loops_bb6_in___6(Arg_0,Arg_1,Arg_2) -> n_eval_loops_stop___2(Arg_0,Arg_1,Arg_2):|:Arg_1<0
21:n_eval_loops_start(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb0_in___17(Arg_0,Arg_1,Arg_2)

Preprocessing

Found invariant Arg_1<=Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 0<=Arg_0 for location n_eval_loops_bb1_in___16

Found invariant 1+Arg_0<=0 for location n_eval_loops_stop___1

Found invariant Arg_1<=Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 0<=Arg_0 for location n_eval_loops_bb2_in___14

Found invariant Arg_1<=0 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 for location n_eval_loops_bb2_in___3

Found invariant Arg_1<=0 && 1+Arg_1<=Arg_0 && 0<=1+Arg_1 && 0<=1+Arg_0+Arg_1 && 0<=Arg_0 for location n_eval_loops_bb1_in___4

Found invariant 2<=Arg_2 && 4<=Arg_1+Arg_2 && 4<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && 2<=Arg_0 for location n_eval_loops_bb3_in___10

Found invariant 2<=Arg_2 && 4<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && 2<=Arg_0 for location n_eval_loops_bb5_in___9

Found invariant 1+Arg_1<=0 && 1+Arg_1<=Arg_0 && 0<=1+Arg_1 && 0<=1+Arg_0+Arg_1 && 0<=Arg_0 for location n_eval_loops_bb6_in___6

Found invariant Arg_2<=1 && 1+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && 2<=Arg_0 for location n_eval_loops_bb3_in___13

Found invariant Arg_1<=1 && Arg_1<=Arg_0 && Arg_0+Arg_1<=2 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=1 && 0<=Arg_0 for location n_eval_loops_bb5_in___12

Found invariant 2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 for location n_eval_loops_bb1_in___8

Found invariant 1+Arg_1<=0 && 1+Arg_1<=Arg_0 && 0<=1+Arg_1 && 0<=1+Arg_0+Arg_1 && 0<=Arg_0 for location n_eval_loops_stop___2

Found invariant 1+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && 2<=Arg_0 for location n_eval_loops_bb4_in___11

Found invariant Arg_1<=1 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 for location n_eval_loops_bb5_in___5

Found invariant 2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 for location n_eval_loops_bb2_in___7

Found invariant 1+Arg_0<=0 for location n_eval_loops_bb6_in___15

Cut unsatisfiable transition 6: n_eval_loops_bb1_in___8->n_eval_loops_bb6_in___6

Problem after Preprocessing

Start: n_eval_loops_start
Program_Vars: Arg_0, Arg_1, Arg_2
Temp_Vars:
Locations: n_eval_loops_bb0_in___17, n_eval_loops_bb1_in___16, n_eval_loops_bb1_in___4, n_eval_loops_bb1_in___8, n_eval_loops_bb2_in___14, n_eval_loops_bb2_in___3, n_eval_loops_bb2_in___7, n_eval_loops_bb3_in___10, n_eval_loops_bb3_in___13, n_eval_loops_bb4_in___11, n_eval_loops_bb5_in___12, n_eval_loops_bb5_in___5, n_eval_loops_bb5_in___9, n_eval_loops_bb6_in___15, n_eval_loops_bb6_in___6, n_eval_loops_start, n_eval_loops_stop___1, n_eval_loops_stop___2
Transitions:
0:n_eval_loops_bb0_in___17(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb1_in___16(Arg_0,Arg_0,Arg_2):|:0<=Arg_0
1:n_eval_loops_bb0_in___17(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb6_in___15(Arg_0,Arg_1,Arg_2):|:Arg_0<0
2:n_eval_loops_bb1_in___16(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb2_in___14(Arg_0,Arg_1,Arg_2):|:Arg_1<=Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 0<=Arg_0 && 0<=Arg_1 && Arg_0<=Arg_1 && Arg_1<=Arg_0 && 0<=Arg_1 && 0<=Arg_1 && 0<=Arg_1
3:n_eval_loops_bb1_in___4(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb2_in___3(Arg_0,Arg_1,Arg_2):|:Arg_1<=0 && 1+Arg_1<=Arg_0 && 0<=1+Arg_1 && 0<=1+Arg_0+Arg_1 && 0<=Arg_0 && Arg_1<=1 && 0<=Arg_1
4:n_eval_loops_bb1_in___4(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb6_in___6(Arg_0,Arg_1,Arg_2):|:Arg_1<=0 && 1+Arg_1<=Arg_0 && 0<=1+Arg_1 && 0<=1+Arg_0+Arg_1 && 0<=Arg_0 && Arg_1<=1 && Arg_1<0
5:n_eval_loops_bb1_in___8(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb2_in___7(Arg_0,Arg_1,Arg_2):|:2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && 0<=Arg_1
7:n_eval_loops_bb2_in___14(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb3_in___13(Arg_0,Arg_1,1):|:Arg_1<=Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 0<=Arg_0 && 0<=Arg_1 && Arg_0<=Arg_1 && Arg_1<=Arg_0 && 1<Arg_1
8:n_eval_loops_bb2_in___14(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb5_in___12(Arg_0,Arg_1,Arg_2):|:Arg_1<=Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 0<=Arg_0 && 0<=Arg_1 && Arg_0<=Arg_1 && Arg_1<=Arg_0 && Arg_1<=1
9:n_eval_loops_bb2_in___3(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb5_in___5(Arg_0,Arg_1,Arg_2):|:Arg_1<=0 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_1<=1 && 0<=Arg_1 && Arg_1<=1
10:n_eval_loops_bb2_in___7(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb3_in___13(Arg_0,Arg_1,1):|:2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && 0<=Arg_1 && 1<Arg_1
11:n_eval_loops_bb2_in___7(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb5_in___5(Arg_0,Arg_1,Arg_2):|:2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && 0<=Arg_1 && Arg_1<=1
12:n_eval_loops_bb3_in___10(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb4_in___11(Arg_0,Arg_1,Arg_2):|:2<=Arg_2 && 4<=Arg_1+Arg_2 && 4<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_2<Arg_1
13:n_eval_loops_bb3_in___10(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb5_in___9(Arg_0,Arg_1,Arg_2):|:2<=Arg_2 && 4<=Arg_1+Arg_2 && 4<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_1<=Arg_2
14:n_eval_loops_bb3_in___13(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb4_in___11(Arg_0,Arg_1,Arg_2):|:Arg_2<=1 && 1+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_2<Arg_1 && Arg_2<Arg_1
15:n_eval_loops_bb4_in___11(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb3_in___10(Arg_0,Arg_1,2*Arg_2):|:1+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_2<Arg_1
16:n_eval_loops_bb5_in___12(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb1_in___4(Arg_0,Arg_1-1,Arg_2):|:Arg_1<=1 && Arg_1<=Arg_0 && Arg_0+Arg_1<=2 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=1 && 0<=Arg_0 && Arg_1<=1 && 0<=Arg_1 && Arg_0<=Arg_1 && Arg_1<=Arg_0
17:n_eval_loops_bb5_in___5(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb1_in___4(Arg_0,Arg_1-1,Arg_2):|:Arg_1<=1 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_1<=1 && 0<=Arg_1
18:n_eval_loops_bb5_in___9(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb1_in___8(Arg_0,Arg_1-1,Arg_2):|:2<=Arg_2 && 4<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_1<=Arg_2
19:n_eval_loops_bb6_in___15(Arg_0,Arg_1,Arg_2) -> n_eval_loops_stop___1(Arg_0,Arg_1,Arg_2):|:1+Arg_0<=0 && Arg_0<0
20:n_eval_loops_bb6_in___6(Arg_0,Arg_1,Arg_2) -> n_eval_loops_stop___2(Arg_0,Arg_1,Arg_2):|:1+Arg_1<=0 && 1+Arg_1<=Arg_0 && 0<=1+Arg_1 && 0<=1+Arg_0+Arg_1 && 0<=Arg_0 && Arg_1<0
21:n_eval_loops_start(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb0_in___17(Arg_0,Arg_1,Arg_2)

MPRF for transition 5:n_eval_loops_bb1_in___8(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb2_in___7(Arg_0,Arg_1,Arg_2):|:2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && 0<=Arg_1 of depth 1:

new bound:

Arg_0 {O(n)}

MPRF:

n_eval_loops_bb2_in___7 [Arg_1 ]
n_eval_loops_bb3_in___13 [Arg_1 ]
n_eval_loops_bb4_in___11 [Arg_1 ]
n_eval_loops_bb3_in___10 [Arg_1 ]
n_eval_loops_bb5_in___9 [Arg_1 ]
n_eval_loops_bb1_in___8 [Arg_1+1 ]

MPRF for transition 10:n_eval_loops_bb2_in___7(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb3_in___13(Arg_0,Arg_1,1):|:2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && 0<=Arg_1 && 1<Arg_1 of depth 1:

new bound:

Arg_0+2 {O(n)}

MPRF:

n_eval_loops_bb2_in___7 [Arg_1-1 ]
n_eval_loops_bb3_in___13 [Arg_1-2 ]
n_eval_loops_bb4_in___11 [Arg_1-2 ]
n_eval_loops_bb3_in___10 [Arg_1-2 ]
n_eval_loops_bb5_in___9 [Arg_1-2 ]
n_eval_loops_bb1_in___8 [Arg_1-1 ]

MPRF for transition 13:n_eval_loops_bb3_in___10(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb5_in___9(Arg_0,Arg_1,Arg_2):|:2<=Arg_2 && 4<=Arg_1+Arg_2 && 4<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_1<=Arg_2 of depth 1:

new bound:

Arg_0+2 {O(n)}

MPRF:

n_eval_loops_bb2_in___7 [Arg_1+2 ]
n_eval_loops_bb3_in___13 [Arg_1+2*Arg_2 ]
n_eval_loops_bb4_in___11 [Arg_1+2 ]
n_eval_loops_bb3_in___10 [Arg_1+2 ]
n_eval_loops_bb5_in___9 [Arg_1+1 ]
n_eval_loops_bb1_in___8 [Arg_1+2 ]

MPRF for transition 14:n_eval_loops_bb3_in___13(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb4_in___11(Arg_0,Arg_1,Arg_2):|:Arg_2<=1 && 1+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_2<Arg_1 && Arg_2<Arg_1 of depth 1:

new bound:

Arg_0+1 {O(n)}

MPRF:

n_eval_loops_bb2_in___7 [Arg_1-1 ]
n_eval_loops_bb3_in___13 [Arg_1-1 ]
n_eval_loops_bb4_in___11 [Arg_1-2 ]
n_eval_loops_bb3_in___10 [Arg_1-2 ]
n_eval_loops_bb5_in___9 [Arg_1-2 ]
n_eval_loops_bb1_in___8 [Arg_1-1 ]

MPRF for transition 18:n_eval_loops_bb5_in___9(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb1_in___8(Arg_0,Arg_1-1,Arg_2):|:2<=Arg_2 && 4<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_1<=Arg_2 of depth 1:

new bound:

Arg_0 {O(n)}

MPRF:

n_eval_loops_bb2_in___7 [Arg_1 ]
n_eval_loops_bb3_in___13 [Arg_1 ]
n_eval_loops_bb4_in___11 [Arg_1 ]
n_eval_loops_bb3_in___10 [Arg_1 ]
n_eval_loops_bb5_in___9 [Arg_1 ]
n_eval_loops_bb1_in___8 [Arg_1 ]

MPRF for transition 12:n_eval_loops_bb3_in___10(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb4_in___11(Arg_0,Arg_1,Arg_2):|:2<=Arg_2 && 4<=Arg_1+Arg_2 && 4<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_2<Arg_1 of depth 1:

new bound:

Arg_0*Arg_0+Arg_0 {O(n^2)}

MPRF:

n_eval_loops_bb1_in___8 [Arg_1 ]
n_eval_loops_bb2_in___7 [Arg_1 ]
n_eval_loops_bb5_in___9 [Arg_1-Arg_2 ]
n_eval_loops_bb3_in___13 [Arg_1 ]
n_eval_loops_bb4_in___11 [Arg_1-2*Arg_2 ]
n_eval_loops_bb3_in___10 [Arg_1-Arg_2 ]

MPRF for transition 15:n_eval_loops_bb4_in___11(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb3_in___10(Arg_0,Arg_1,2*Arg_2):|:1+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_2<Arg_1 of depth 1:

new bound:

2*Arg_0*Arg_0+5*Arg_0+3 {O(n^2)}

MPRF:

n_eval_loops_bb1_in___8 [2*Arg_1-3 ]
n_eval_loops_bb2_in___7 [2*Arg_1-3 ]
n_eval_loops_bb5_in___9 [2*Arg_1-Arg_2-3 ]
n_eval_loops_bb3_in___13 [2*Arg_1-2*Arg_2-1 ]
n_eval_loops_bb4_in___11 [2*Arg_1-2*Arg_2-1 ]
n_eval_loops_bb3_in___10 [2*Arg_1-Arg_2-3 ]

MPRF for transition 3:n_eval_loops_bb1_in___4(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb2_in___3(Arg_0,Arg_1,Arg_2):|:Arg_1<=0 && 1+Arg_1<=Arg_0 && 0<=1+Arg_1 && 0<=1+Arg_0+Arg_1 && 0<=Arg_0 && Arg_1<=1 && 0<=Arg_1 of depth 1:

new bound:

3 {O(1)}

MPRF:

n_eval_loops_bb2_in___3 [0 ]
n_eval_loops_bb5_in___5 [Arg_1 ]
n_eval_loops_bb1_in___4 [Arg_1+1 ]

MPRF for transition 9:n_eval_loops_bb2_in___3(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb5_in___5(Arg_0,Arg_1,Arg_2):|:Arg_1<=0 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_1<=1 && 0<=Arg_1 && Arg_1<=1 of depth 1:

new bound:

3 {O(1)}

MPRF:

n_eval_loops_bb2_in___3 [1 ]
n_eval_loops_bb5_in___5 [Arg_1 ]
n_eval_loops_bb1_in___4 [Arg_1+1 ]

MPRF for transition 17:n_eval_loops_bb5_in___5(Arg_0,Arg_1,Arg_2) -> n_eval_loops_bb1_in___4(Arg_0,Arg_1-1,Arg_2):|:Arg_1<=1 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_1<=1 && 0<=Arg_1 of depth 1:

new bound:

4 {O(1)}

MPRF:

n_eval_loops_bb2_in___3 [1 ]
n_eval_loops_bb5_in___5 [Arg_1+1 ]
n_eval_loops_bb1_in___4 [Arg_1+1 ]

All Bounds

Timebounds

Overall timebound:3*Arg_0*Arg_0+11*Arg_0+29 {O(n^2)}
0: n_eval_loops_bb0_in___17->n_eval_loops_bb1_in___16: 1 {O(1)}
1: n_eval_loops_bb0_in___17->n_eval_loops_bb6_in___15: 1 {O(1)}
2: n_eval_loops_bb1_in___16->n_eval_loops_bb2_in___14: 1 {O(1)}
3: n_eval_loops_bb1_in___4->n_eval_loops_bb2_in___3: 3 {O(1)}
4: n_eval_loops_bb1_in___4->n_eval_loops_bb6_in___6: 1 {O(1)}
5: n_eval_loops_bb1_in___8->n_eval_loops_bb2_in___7: Arg_0 {O(n)}
7: n_eval_loops_bb2_in___14->n_eval_loops_bb3_in___13: 1 {O(1)}
8: n_eval_loops_bb2_in___14->n_eval_loops_bb5_in___12: 1 {O(1)}
9: n_eval_loops_bb2_in___3->n_eval_loops_bb5_in___5: 3 {O(1)}
10: n_eval_loops_bb2_in___7->n_eval_loops_bb3_in___13: Arg_0+2 {O(n)}
11: n_eval_loops_bb2_in___7->n_eval_loops_bb5_in___5: 1 {O(1)}
12: n_eval_loops_bb3_in___10->n_eval_loops_bb4_in___11: Arg_0*Arg_0+Arg_0 {O(n^2)}
13: n_eval_loops_bb3_in___10->n_eval_loops_bb5_in___9: Arg_0+2 {O(n)}
14: n_eval_loops_bb3_in___13->n_eval_loops_bb4_in___11: Arg_0+1 {O(n)}
15: n_eval_loops_bb4_in___11->n_eval_loops_bb3_in___10: 2*Arg_0*Arg_0+5*Arg_0+3 {O(n^2)}
16: n_eval_loops_bb5_in___12->n_eval_loops_bb1_in___4: 1 {O(1)}
17: n_eval_loops_bb5_in___5->n_eval_loops_bb1_in___4: 4 {O(1)}
18: n_eval_loops_bb5_in___9->n_eval_loops_bb1_in___8: Arg_0 {O(n)}
19: n_eval_loops_bb6_in___15->n_eval_loops_stop___1: 1 {O(1)}
20: n_eval_loops_bb6_in___6->n_eval_loops_stop___2: 1 {O(1)}
21: n_eval_loops_start->n_eval_loops_bb0_in___17: 1 {O(1)}

Costbounds

Overall costbound: 3*Arg_0*Arg_0+11*Arg_0+29 {O(n^2)}
0: n_eval_loops_bb0_in___17->n_eval_loops_bb1_in___16: 1 {O(1)}
1: n_eval_loops_bb0_in___17->n_eval_loops_bb6_in___15: 1 {O(1)}
2: n_eval_loops_bb1_in___16->n_eval_loops_bb2_in___14: 1 {O(1)}
3: n_eval_loops_bb1_in___4->n_eval_loops_bb2_in___3: 3 {O(1)}
4: n_eval_loops_bb1_in___4->n_eval_loops_bb6_in___6: 1 {O(1)}
5: n_eval_loops_bb1_in___8->n_eval_loops_bb2_in___7: Arg_0 {O(n)}
7: n_eval_loops_bb2_in___14->n_eval_loops_bb3_in___13: 1 {O(1)}
8: n_eval_loops_bb2_in___14->n_eval_loops_bb5_in___12: 1 {O(1)}
9: n_eval_loops_bb2_in___3->n_eval_loops_bb5_in___5: 3 {O(1)}
10: n_eval_loops_bb2_in___7->n_eval_loops_bb3_in___13: Arg_0+2 {O(n)}
11: n_eval_loops_bb2_in___7->n_eval_loops_bb5_in___5: 1 {O(1)}
12: n_eval_loops_bb3_in___10->n_eval_loops_bb4_in___11: Arg_0*Arg_0+Arg_0 {O(n^2)}
13: n_eval_loops_bb3_in___10->n_eval_loops_bb5_in___9: Arg_0+2 {O(n)}
14: n_eval_loops_bb3_in___13->n_eval_loops_bb4_in___11: Arg_0+1 {O(n)}
15: n_eval_loops_bb4_in___11->n_eval_loops_bb3_in___10: 2*Arg_0*Arg_0+5*Arg_0+3 {O(n^2)}
16: n_eval_loops_bb5_in___12->n_eval_loops_bb1_in___4: 1 {O(1)}
17: n_eval_loops_bb5_in___5->n_eval_loops_bb1_in___4: 4 {O(1)}
18: n_eval_loops_bb5_in___9->n_eval_loops_bb1_in___8: Arg_0 {O(n)}
19: n_eval_loops_bb6_in___15->n_eval_loops_stop___1: 1 {O(1)}
20: n_eval_loops_bb6_in___6->n_eval_loops_stop___2: 1 {O(1)}
21: n_eval_loops_start->n_eval_loops_bb0_in___17: 1 {O(1)}

Sizebounds

0: n_eval_loops_bb0_in___17->n_eval_loops_bb1_in___16, Arg_0: Arg_0 {O(n)}
0: n_eval_loops_bb0_in___17->n_eval_loops_bb1_in___16, Arg_1: Arg_0 {O(n)}
0: n_eval_loops_bb0_in___17->n_eval_loops_bb1_in___16, Arg_2: Arg_2 {O(n)}
1: n_eval_loops_bb0_in___17->n_eval_loops_bb6_in___15, Arg_0: Arg_0 {O(n)}
1: n_eval_loops_bb0_in___17->n_eval_loops_bb6_in___15, Arg_1: Arg_1 {O(n)}
1: n_eval_loops_bb0_in___17->n_eval_loops_bb6_in___15, Arg_2: Arg_2 {O(n)}
2: n_eval_loops_bb1_in___16->n_eval_loops_bb2_in___14, Arg_0: Arg_0 {O(n)}
2: n_eval_loops_bb1_in___16->n_eval_loops_bb2_in___14, Arg_1: Arg_0 {O(n)}
2: n_eval_loops_bb1_in___16->n_eval_loops_bb2_in___14, Arg_2: Arg_2 {O(n)}
3: n_eval_loops_bb1_in___4->n_eval_loops_bb2_in___3, Arg_0: Arg_0+1 {O(n)}
3: n_eval_loops_bb1_in___4->n_eval_loops_bb2_in___3, Arg_1: 0 {O(1)}
3: n_eval_loops_bb1_in___4->n_eval_loops_bb2_in___3, Arg_2: 2^(2*Arg_0*Arg_0+5*Arg_0+3)+Arg_2 {O(EXP)}
4: n_eval_loops_bb1_in___4->n_eval_loops_bb6_in___6, Arg_0: Arg_0+2 {O(n)}
4: n_eval_loops_bb1_in___4->n_eval_loops_bb6_in___6, Arg_1: 1 {O(1)}
4: n_eval_loops_bb1_in___4->n_eval_loops_bb6_in___6, Arg_2: 2^(2*Arg_0*Arg_0+5*Arg_0+3)+2*Arg_2 {O(EXP)}
5: n_eval_loops_bb1_in___8->n_eval_loops_bb2_in___7, Arg_0: Arg_0 {O(n)}
5: n_eval_loops_bb1_in___8->n_eval_loops_bb2_in___7, Arg_1: Arg_0 {O(n)}
5: n_eval_loops_bb1_in___8->n_eval_loops_bb2_in___7, Arg_2: 2^(2*Arg_0*Arg_0+5*Arg_0+3) {O(EXP)}
7: n_eval_loops_bb2_in___14->n_eval_loops_bb3_in___13, Arg_0: Arg_0 {O(n)}
7: n_eval_loops_bb2_in___14->n_eval_loops_bb3_in___13, Arg_1: Arg_0 {O(n)}
7: n_eval_loops_bb2_in___14->n_eval_loops_bb3_in___13, Arg_2: 1 {O(1)}
8: n_eval_loops_bb2_in___14->n_eval_loops_bb5_in___12, Arg_0: 1 {O(1)}
8: n_eval_loops_bb2_in___14->n_eval_loops_bb5_in___12, Arg_1: 1 {O(1)}
8: n_eval_loops_bb2_in___14->n_eval_loops_bb5_in___12, Arg_2: Arg_2 {O(n)}
9: n_eval_loops_bb2_in___3->n_eval_loops_bb5_in___5, Arg_0: Arg_0+1 {O(n)}
9: n_eval_loops_bb2_in___3->n_eval_loops_bb5_in___5, Arg_1: 0 {O(1)}
9: n_eval_loops_bb2_in___3->n_eval_loops_bb5_in___5, Arg_2: 2^(2*Arg_0*Arg_0+5*Arg_0+3)+Arg_2 {O(EXP)}
10: n_eval_loops_bb2_in___7->n_eval_loops_bb3_in___13, Arg_0: Arg_0 {O(n)}
10: n_eval_loops_bb2_in___7->n_eval_loops_bb3_in___13, Arg_1: Arg_0 {O(n)}
10: n_eval_loops_bb2_in___7->n_eval_loops_bb3_in___13, Arg_2: 1 {O(1)}
11: n_eval_loops_bb2_in___7->n_eval_loops_bb5_in___5, Arg_0: Arg_0 {O(n)}
11: n_eval_loops_bb2_in___7->n_eval_loops_bb5_in___5, Arg_1: 1 {O(1)}
11: n_eval_loops_bb2_in___7->n_eval_loops_bb5_in___5, Arg_2: 2^(2*Arg_0*Arg_0+5*Arg_0+3) {O(EXP)}
12: n_eval_loops_bb3_in___10->n_eval_loops_bb4_in___11, Arg_0: Arg_0 {O(n)}
12: n_eval_loops_bb3_in___10->n_eval_loops_bb4_in___11, Arg_1: Arg_0 {O(n)}
12: n_eval_loops_bb3_in___10->n_eval_loops_bb4_in___11, Arg_2: 2^(2*Arg_0*Arg_0+5*Arg_0+3) {O(EXP)}
13: n_eval_loops_bb3_in___10->n_eval_loops_bb5_in___9, Arg_0: Arg_0 {O(n)}
13: n_eval_loops_bb3_in___10->n_eval_loops_bb5_in___9, Arg_1: Arg_0 {O(n)}
13: n_eval_loops_bb3_in___10->n_eval_loops_bb5_in___9, Arg_2: 2^(2*Arg_0*Arg_0+5*Arg_0+3) {O(EXP)}
14: n_eval_loops_bb3_in___13->n_eval_loops_bb4_in___11, Arg_0: Arg_0 {O(n)}
14: n_eval_loops_bb3_in___13->n_eval_loops_bb4_in___11, Arg_1: Arg_0 {O(n)}
14: n_eval_loops_bb3_in___13->n_eval_loops_bb4_in___11, Arg_2: 1 {O(1)}
15: n_eval_loops_bb4_in___11->n_eval_loops_bb3_in___10, Arg_0: Arg_0 {O(n)}
15: n_eval_loops_bb4_in___11->n_eval_loops_bb3_in___10, Arg_1: Arg_0 {O(n)}
15: n_eval_loops_bb4_in___11->n_eval_loops_bb3_in___10, Arg_2: 2^(2*Arg_0*Arg_0+5*Arg_0+3) {O(EXP)}
16: n_eval_loops_bb5_in___12->n_eval_loops_bb1_in___4, Arg_0: 1 {O(1)}
16: n_eval_loops_bb5_in___12->n_eval_loops_bb1_in___4, Arg_1: 1 {O(1)}
16: n_eval_loops_bb5_in___12->n_eval_loops_bb1_in___4, Arg_2: Arg_2 {O(n)}
17: n_eval_loops_bb5_in___5->n_eval_loops_bb1_in___4, Arg_0: Arg_0+1 {O(n)}
17: n_eval_loops_bb5_in___5->n_eval_loops_bb1_in___4, Arg_1: 1 {O(1)}
17: n_eval_loops_bb5_in___5->n_eval_loops_bb1_in___4, Arg_2: 2^(2*Arg_0*Arg_0+5*Arg_0+3)+Arg_2 {O(EXP)}
18: n_eval_loops_bb5_in___9->n_eval_loops_bb1_in___8, Arg_0: Arg_0 {O(n)}
18: n_eval_loops_bb5_in___9->n_eval_loops_bb1_in___8, Arg_1: Arg_0 {O(n)}
18: n_eval_loops_bb5_in___9->n_eval_loops_bb1_in___8, Arg_2: 2^(2*Arg_0*Arg_0+5*Arg_0+3) {O(EXP)}
19: n_eval_loops_bb6_in___15->n_eval_loops_stop___1, Arg_0: Arg_0 {O(n)}
19: n_eval_loops_bb6_in___15->n_eval_loops_stop___1, Arg_1: Arg_1 {O(n)}
19: n_eval_loops_bb6_in___15->n_eval_loops_stop___1, Arg_2: Arg_2 {O(n)}
20: n_eval_loops_bb6_in___6->n_eval_loops_stop___2, Arg_0: Arg_0+2 {O(n)}
20: n_eval_loops_bb6_in___6->n_eval_loops_stop___2, Arg_1: 1 {O(1)}
20: n_eval_loops_bb6_in___6->n_eval_loops_stop___2, Arg_2: 2^(2*Arg_0*Arg_0+5*Arg_0+3)+2*Arg_2 {O(EXP)}
21: n_eval_loops_start->n_eval_loops_bb0_in___17, Arg_0: Arg_0 {O(n)}
21: n_eval_loops_start->n_eval_loops_bb0_in___17, Arg_1: Arg_1 {O(n)}
21: n_eval_loops_start->n_eval_loops_bb0_in___17, Arg_2: Arg_2 {O(n)}