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___12, n_eval_foo_bb1_in___11, n_eval_foo_bb1_in___5, n_eval_foo_bb2_in___10, n_eval_foo_bb3_in___7, n_eval_foo_bb4_in___6, n_eval_foo_bb5_in___4, n_eval_foo_bb5_in___8, n_eval_foo_bb5_in___9, n_eval_foo_start, n_eval_foo_stop___1, n_eval_foo_stop___2, n_eval_foo_stop___3
Transitions:
0:n_eval_foo_bb0_in___12(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb1_in___11(Arg_3,Arg_4,Arg_2,Arg_3,Arg_4)
1:n_eval_foo_bb1_in___11(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb2_in___10(Arg_0,Arg_1,1,Arg_3,Arg_4):|:Arg_0<=Arg_3 && Arg_3<=Arg_0 && Arg_1<=Arg_4 && Arg_4<=Arg_1 && 0<=Arg_0 && 0<Arg_1
2:n_eval_foo_bb1_in___11(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb5_in___8(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_0<=Arg_3 && Arg_3<=Arg_0 && Arg_1<=Arg_4 && Arg_4<=Arg_1 && Arg_1<=0
3:n_eval_foo_bb1_in___11(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_3 && Arg_3<=Arg_0 && Arg_1<=Arg_4 && Arg_4<=Arg_1 && Arg_0<0
4:n_eval_foo_bb1_in___5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb2_in___10(Arg_0,Arg_1,1,Arg_3,Arg_4):|:0<Arg_1 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && 0<=Arg_0 && 0<Arg_1
5:n_eval_foo_bb1_in___5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb5_in___4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:0<Arg_1 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_0<0
6:n_eval_foo_bb2_in___10(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb3_in___7(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:0<Arg_2 && Arg_2<Arg_0 && 0<Arg_2
7:n_eval_foo_bb2_in___10(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb4_in___6(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:0<Arg_2 && Arg_0<=Arg_2
8:n_eval_foo_bb3_in___7(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb2_in___10(Arg_0,Arg_1,2*Arg_2,Arg_3,Arg_4):|:Arg_2<Arg_0 && 0<Arg_2
9:n_eval_foo_bb4_in___6(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb1_in___5(Arg_0-1,Arg_2,Arg_2,Arg_3,Arg_4):|:Arg_0<=Arg_2 && 0<Arg_2
10:n_eval_foo_bb5_in___4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_stop___3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_0<0 && 0<Arg_2 && Arg_1<=Arg_2 && Arg_2<=Arg_1
11:n_eval_foo_bb5_in___8(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_4<=0 && Arg_0<=Arg_3 && Arg_3<=Arg_0 && Arg_1<=Arg_4 && Arg_4<=Arg_1
12:n_eval_foo_bb5_in___9(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 && Arg_0<=Arg_3 && Arg_3<=Arg_0 && Arg_1<=Arg_4 && Arg_4<=Arg_1
13:n_eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb0_in___12(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)

Preprocessing

Found invariant Arg_4<=0 && Arg_4<=Arg_1 && Arg_1+Arg_4<=0 && Arg_1<=Arg_4 && Arg_3<=Arg_0 && Arg_0<=Arg_3 && Arg_1<=0 for location n_eval_foo_bb5_in___8

Found invariant Arg_4<=Arg_1 && Arg_1<=Arg_4 && Arg_3<=Arg_0 && Arg_0<=Arg_3 for location n_eval_foo_bb1_in___11

Found invariant 1<=Arg_4 && 1<=Arg_3+Arg_4 && 2<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 for location n_eval_foo_bb2_in___10

Found invariant Arg_4<=Arg_1 && Arg_1<=Arg_4 && 1+Arg_3<=0 && Arg_3<=Arg_0 && 2+Arg_0+Arg_3<=0 && Arg_0<=Arg_3 && 1+Arg_0<=0 for location n_eval_foo_stop___2

Found invariant 1<=Arg_4 && 1<=Arg_3+Arg_4 && 2<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && 0<=Arg_0+Arg_4 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=1+Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 0<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 0<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 0<=1+Arg_0 for location n_eval_foo_bb1_in___5

Found invariant 1<=Arg_4 && 1<=Arg_3+Arg_4 && 2<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 for location n_eval_foo_bb4_in___6

Found invariant Arg_4<=0 && Arg_4<=Arg_1 && Arg_1+Arg_4<=0 && Arg_1<=Arg_4 && Arg_3<=Arg_0 && Arg_0<=Arg_3 && Arg_1<=0 for location n_eval_foo_stop___1

Found invariant 1<=Arg_4 && 1<=Arg_3+Arg_4 && 2<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && 0<=Arg_0+Arg_4 && 2+Arg_0<=Arg_4 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=1+Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 0<=Arg_0+Arg_2 && 2+Arg_0<=Arg_2 && 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___4

Found invariant 1<=Arg_4 && 3<=Arg_3+Arg_4 && 2<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && 3<=Arg_0+Arg_4 && 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && 4<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1+Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 for location n_eval_foo_bb3_in___7

Found invariant Arg_4<=Arg_1 && Arg_1<=Arg_4 && 1+Arg_3<=0 && Arg_3<=Arg_0 && 2+Arg_0+Arg_3<=0 && Arg_0<=Arg_3 && 1+Arg_0<=0 for location n_eval_foo_bb5_in___9

Found invariant 1<=Arg_4 && 1<=Arg_3+Arg_4 && 2<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && 0<=Arg_0+Arg_4 && 2+Arg_0<=Arg_4 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=1+Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 0<=Arg_0+Arg_2 && 2+Arg_0<=Arg_2 && 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___3

Problem after Preprocessing

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___12, n_eval_foo_bb1_in___11, n_eval_foo_bb1_in___5, n_eval_foo_bb2_in___10, n_eval_foo_bb3_in___7, n_eval_foo_bb4_in___6, n_eval_foo_bb5_in___4, n_eval_foo_bb5_in___8, n_eval_foo_bb5_in___9, n_eval_foo_start, n_eval_foo_stop___1, n_eval_foo_stop___2, n_eval_foo_stop___3
Transitions:
0:n_eval_foo_bb0_in___12(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb1_in___11(Arg_3,Arg_4,Arg_2,Arg_3,Arg_4)
1:n_eval_foo_bb1_in___11(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb2_in___10(Arg_0,Arg_1,1,Arg_3,Arg_4):|:Arg_4<=Arg_1 && Arg_1<=Arg_4 && Arg_3<=Arg_0 && Arg_0<=Arg_3 && Arg_0<=Arg_3 && Arg_3<=Arg_0 && Arg_1<=Arg_4 && Arg_4<=Arg_1 && 0<=Arg_0 && 0<Arg_1
2:n_eval_foo_bb1_in___11(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb5_in___8(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_4<=Arg_1 && Arg_1<=Arg_4 && Arg_3<=Arg_0 && Arg_0<=Arg_3 && Arg_0<=Arg_3 && Arg_3<=Arg_0 && Arg_1<=Arg_4 && Arg_4<=Arg_1 && Arg_1<=0
3:n_eval_foo_bb1_in___11(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_4<=Arg_1 && Arg_1<=Arg_4 && Arg_3<=Arg_0 && Arg_0<=Arg_3 && Arg_0<=Arg_3 && Arg_3<=Arg_0 && Arg_1<=Arg_4 && Arg_4<=Arg_1 && Arg_0<0
4:n_eval_foo_bb1_in___5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb2_in___10(Arg_0,Arg_1,1,Arg_3,Arg_4):|:1<=Arg_4 && 1<=Arg_3+Arg_4 && 2<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && 0<=Arg_0+Arg_4 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=1+Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 0<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 0<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 0<=1+Arg_0 && 0<Arg_1 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && 0<=Arg_0 && 0<Arg_1
5:n_eval_foo_bb1_in___5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb5_in___4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:1<=Arg_4 && 1<=Arg_3+Arg_4 && 2<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && 0<=Arg_0+Arg_4 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=1+Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 0<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 0<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 0<=1+Arg_0 && 0<Arg_1 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_0<0
6:n_eval_foo_bb2_in___10(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb3_in___7(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:1<=Arg_4 && 1<=Arg_3+Arg_4 && 2<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && 0<Arg_2 && Arg_2<Arg_0 && 0<Arg_2
7:n_eval_foo_bb2_in___10(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb4_in___6(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:1<=Arg_4 && 1<=Arg_3+Arg_4 && 2<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && 0<Arg_2 && Arg_0<=Arg_2
8:n_eval_foo_bb3_in___7(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb2_in___10(Arg_0,Arg_1,2*Arg_2,Arg_3,Arg_4):|:1<=Arg_4 && 3<=Arg_3+Arg_4 && 2<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && 3<=Arg_0+Arg_4 && 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && 4<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1+Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_2<Arg_0 && 0<Arg_2
9:n_eval_foo_bb4_in___6(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb1_in___5(Arg_0-1,Arg_2,Arg_2,Arg_3,Arg_4):|:1<=Arg_4 && 1<=Arg_3+Arg_4 && 2<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_0<=Arg_2 && 0<Arg_2
10:n_eval_foo_bb5_in___4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_stop___3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:1<=Arg_4 && 1<=Arg_3+Arg_4 && 2<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && 0<=Arg_0+Arg_4 && 2+Arg_0<=Arg_4 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=1+Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 0<=Arg_0+Arg_2 && 2+Arg_0<=Arg_2 && 1<=Arg_1 && 0<=Arg_0+Arg_1 && 2+Arg_0<=Arg_1 && 1+Arg_0<=0 && 0<=1+Arg_0 && Arg_0<0 && 0<Arg_2 && Arg_1<=Arg_2 && Arg_2<=Arg_1
11:n_eval_foo_bb5_in___8(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_4<=0 && Arg_4<=Arg_1 && Arg_1+Arg_4<=0 && Arg_1<=Arg_4 && Arg_3<=Arg_0 && Arg_0<=Arg_3 && Arg_1<=0 && Arg_4<=0 && Arg_0<=Arg_3 && Arg_3<=Arg_0 && Arg_1<=Arg_4 && Arg_4<=Arg_1
12:n_eval_foo_bb5_in___9(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_4<=Arg_1 && Arg_1<=Arg_4 && 1+Arg_3<=0 && Arg_3<=Arg_0 && 2+Arg_0+Arg_3<=0 && Arg_0<=Arg_3 && 1+Arg_0<=0 && Arg_0<0 && Arg_0<=Arg_3 && Arg_3<=Arg_0 && Arg_1<=Arg_4 && Arg_4<=Arg_1
13:n_eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb0_in___12(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)

MPRF for transition 4:n_eval_foo_bb1_in___5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb2_in___10(Arg_0,Arg_1,1,Arg_3,Arg_4):|:1<=Arg_4 && 1<=Arg_3+Arg_4 && 2<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && 0<=Arg_0+Arg_4 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=1+Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 0<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 0<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 0<=1+Arg_0 && 0<Arg_1 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && 0<=Arg_0 && 0<Arg_1 of depth 1:

new bound:

Arg_3 {O(n)}

MPRF:

n_eval_foo_bb3_in___7 [Arg_0 ]
n_eval_foo_bb2_in___10 [Arg_0 ]
n_eval_foo_bb4_in___6 [Arg_0 ]
n_eval_foo_bb1_in___5 [Arg_0+1 ]

MPRF for transition 7:n_eval_foo_bb2_in___10(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb4_in___6(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:1<=Arg_4 && 1<=Arg_3+Arg_4 && 2<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && 0<Arg_2 && Arg_0<=Arg_2 of depth 1:

new bound:

Arg_3+1 {O(n)}

MPRF:

n_eval_foo_bb3_in___7 [Arg_0+1 ]
n_eval_foo_bb2_in___10 [Arg_0+1 ]
n_eval_foo_bb4_in___6 [Arg_0 ]
n_eval_foo_bb1_in___5 [Arg_0+1 ]

MPRF for transition 9:n_eval_foo_bb4_in___6(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb1_in___5(Arg_0-1,Arg_2,Arg_2,Arg_3,Arg_4):|:1<=Arg_4 && 1<=Arg_3+Arg_4 && 2<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_0<=Arg_2 && 0<Arg_2 of depth 1:

new bound:

Arg_3+1 {O(n)}

MPRF:

n_eval_foo_bb3_in___7 [Arg_0+1 ]
n_eval_foo_bb2_in___10 [Arg_0+1 ]
n_eval_foo_bb4_in___6 [Arg_0+1 ]
n_eval_foo_bb1_in___5 [Arg_0+1 ]

MPRF for transition 6:n_eval_foo_bb2_in___10(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb3_in___7(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:1<=Arg_4 && 1<=Arg_3+Arg_4 && 2<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && 0<Arg_2 && Arg_2<Arg_0 && 0<Arg_2 of depth 1:

new bound:

2*Arg_3*Arg_3+3*Arg_3+1 {O(n^2)}

MPRF:

n_eval_foo_bb1_in___5 [Arg_3 ]
n_eval_foo_bb4_in___6 [Arg_3-Arg_2 ]
n_eval_foo_bb3_in___7 [Arg_3-2*Arg_2 ]
n_eval_foo_bb2_in___10 [Arg_3-Arg_2 ]

MPRF for transition 8:n_eval_foo_bb3_in___7(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb2_in___10(Arg_0,Arg_1,2*Arg_2,Arg_3,Arg_4):|:1<=Arg_4 && 3<=Arg_3+Arg_4 && 2<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && 3<=Arg_0+Arg_4 && 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && 4<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1+Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_2<Arg_0 && 0<Arg_2 of depth 1:

new bound:

4*Arg_3*Arg_3+8*Arg_3+3 {O(n^2)}

MPRF:

n_eval_foo_bb1_in___5 [2*Arg_0 ]
n_eval_foo_bb4_in___6 [2*Arg_0-Arg_2 ]
n_eval_foo_bb3_in___7 [2*Arg_0+1-2*Arg_2 ]
n_eval_foo_bb2_in___10 [2*Arg_0-Arg_2 ]

All Bounds

Timebounds

Overall timebound:6*Arg_3*Arg_3+14*Arg_3+15 {O(n^2)}
0: n_eval_foo_bb0_in___12->n_eval_foo_bb1_in___11: 1 {O(1)}
1: n_eval_foo_bb1_in___11->n_eval_foo_bb2_in___10: 1 {O(1)}
2: n_eval_foo_bb1_in___11->n_eval_foo_bb5_in___8: 1 {O(1)}
3: n_eval_foo_bb1_in___11->n_eval_foo_bb5_in___9: 1 {O(1)}
4: n_eval_foo_bb1_in___5->n_eval_foo_bb2_in___10: Arg_3 {O(n)}
5: n_eval_foo_bb1_in___5->n_eval_foo_bb5_in___4: 1 {O(1)}
6: n_eval_foo_bb2_in___10->n_eval_foo_bb3_in___7: 2*Arg_3*Arg_3+3*Arg_3+1 {O(n^2)}
7: n_eval_foo_bb2_in___10->n_eval_foo_bb4_in___6: Arg_3+1 {O(n)}
8: n_eval_foo_bb3_in___7->n_eval_foo_bb2_in___10: 4*Arg_3*Arg_3+8*Arg_3+3 {O(n^2)}
9: n_eval_foo_bb4_in___6->n_eval_foo_bb1_in___5: Arg_3+1 {O(n)}
10: n_eval_foo_bb5_in___4->n_eval_foo_stop___3: 1 {O(1)}
11: n_eval_foo_bb5_in___8->n_eval_foo_stop___1: 1 {O(1)}
12: n_eval_foo_bb5_in___9->n_eval_foo_stop___2: 1 {O(1)}
13: n_eval_foo_start->n_eval_foo_bb0_in___12: 1 {O(1)}

Costbounds

Overall costbound: 6*Arg_3*Arg_3+14*Arg_3+15 {O(n^2)}
0: n_eval_foo_bb0_in___12->n_eval_foo_bb1_in___11: 1 {O(1)}
1: n_eval_foo_bb1_in___11->n_eval_foo_bb2_in___10: 1 {O(1)}
2: n_eval_foo_bb1_in___11->n_eval_foo_bb5_in___8: 1 {O(1)}
3: n_eval_foo_bb1_in___11->n_eval_foo_bb5_in___9: 1 {O(1)}
4: n_eval_foo_bb1_in___5->n_eval_foo_bb2_in___10: Arg_3 {O(n)}
5: n_eval_foo_bb1_in___5->n_eval_foo_bb5_in___4: 1 {O(1)}
6: n_eval_foo_bb2_in___10->n_eval_foo_bb3_in___7: 2*Arg_3*Arg_3+3*Arg_3+1 {O(n^2)}
7: n_eval_foo_bb2_in___10->n_eval_foo_bb4_in___6: Arg_3+1 {O(n)}
8: n_eval_foo_bb3_in___7->n_eval_foo_bb2_in___10: 4*Arg_3*Arg_3+8*Arg_3+3 {O(n^2)}
9: n_eval_foo_bb4_in___6->n_eval_foo_bb1_in___5: Arg_3+1 {O(n)}
10: n_eval_foo_bb5_in___4->n_eval_foo_stop___3: 1 {O(1)}
11: n_eval_foo_bb5_in___8->n_eval_foo_stop___1: 1 {O(1)}
12: n_eval_foo_bb5_in___9->n_eval_foo_stop___2: 1 {O(1)}
13: n_eval_foo_start->n_eval_foo_bb0_in___12: 1 {O(1)}

Sizebounds

0: n_eval_foo_bb0_in___12->n_eval_foo_bb1_in___11, Arg_0: Arg_3 {O(n)}
0: n_eval_foo_bb0_in___12->n_eval_foo_bb1_in___11, Arg_1: Arg_4 {O(n)}
0: n_eval_foo_bb0_in___12->n_eval_foo_bb1_in___11, Arg_2: Arg_2 {O(n)}
0: n_eval_foo_bb0_in___12->n_eval_foo_bb1_in___11, Arg_3: Arg_3 {O(n)}
0: n_eval_foo_bb0_in___12->n_eval_foo_bb1_in___11, Arg_4: Arg_4 {O(n)}
1: n_eval_foo_bb1_in___11->n_eval_foo_bb2_in___10, Arg_0: Arg_3 {O(n)}
1: n_eval_foo_bb1_in___11->n_eval_foo_bb2_in___10, Arg_1: Arg_4 {O(n)}
1: n_eval_foo_bb1_in___11->n_eval_foo_bb2_in___10, Arg_2: 1 {O(1)}
1: n_eval_foo_bb1_in___11->n_eval_foo_bb2_in___10, Arg_3: Arg_3 {O(n)}
1: n_eval_foo_bb1_in___11->n_eval_foo_bb2_in___10, Arg_4: Arg_4 {O(n)}
2: n_eval_foo_bb1_in___11->n_eval_foo_bb5_in___8, Arg_0: Arg_3 {O(n)}
2: n_eval_foo_bb1_in___11->n_eval_foo_bb5_in___8, Arg_1: Arg_4 {O(n)}
2: n_eval_foo_bb1_in___11->n_eval_foo_bb5_in___8, Arg_2: Arg_2 {O(n)}
2: n_eval_foo_bb1_in___11->n_eval_foo_bb5_in___8, Arg_3: Arg_3 {O(n)}
2: n_eval_foo_bb1_in___11->n_eval_foo_bb5_in___8, Arg_4: Arg_4 {O(n)}
3: n_eval_foo_bb1_in___11->n_eval_foo_bb5_in___9, Arg_0: Arg_3 {O(n)}
3: n_eval_foo_bb1_in___11->n_eval_foo_bb5_in___9, Arg_1: Arg_4 {O(n)}
3: n_eval_foo_bb1_in___11->n_eval_foo_bb5_in___9, Arg_2: Arg_2 {O(n)}
3: n_eval_foo_bb1_in___11->n_eval_foo_bb5_in___9, Arg_3: Arg_3 {O(n)}
3: n_eval_foo_bb1_in___11->n_eval_foo_bb5_in___9, Arg_4: Arg_4 {O(n)}
4: n_eval_foo_bb1_in___5->n_eval_foo_bb2_in___10, Arg_0: 2*Arg_3+1 {O(n)}
4: n_eval_foo_bb1_in___5->n_eval_foo_bb2_in___10, Arg_1: 2*2^(4*Arg_3*Arg_3+8*Arg_3+3)+2 {O(EXP)}
4: n_eval_foo_bb1_in___5->n_eval_foo_bb2_in___10, Arg_2: 1 {O(1)}
4: n_eval_foo_bb1_in___5->n_eval_foo_bb2_in___10, Arg_3: 2*Arg_3 {O(n)}
4: n_eval_foo_bb1_in___5->n_eval_foo_bb2_in___10, Arg_4: 2*Arg_4 {O(n)}
5: n_eval_foo_bb1_in___5->n_eval_foo_bb5_in___4, Arg_0: 1 {O(1)}
5: n_eval_foo_bb1_in___5->n_eval_foo_bb5_in___4, Arg_1: 2*2^(4*Arg_3*Arg_3+8*Arg_3+3)+2 {O(EXP)}
5: n_eval_foo_bb1_in___5->n_eval_foo_bb5_in___4, Arg_2: 2*2^(4*Arg_3*Arg_3+8*Arg_3+3)+2 {O(EXP)}
5: n_eval_foo_bb1_in___5->n_eval_foo_bb5_in___4, Arg_3: 2*Arg_3 {O(n)}
5: n_eval_foo_bb1_in___5->n_eval_foo_bb5_in___4, Arg_4: 2*Arg_4 {O(n)}
6: n_eval_foo_bb2_in___10->n_eval_foo_bb3_in___7, Arg_0: 2*Arg_3+1 {O(n)}
6: n_eval_foo_bb2_in___10->n_eval_foo_bb3_in___7, Arg_1: 2*2^(4*Arg_3*Arg_3+8*Arg_3+3)+Arg_4+2 {O(EXP)}
6: n_eval_foo_bb2_in___10->n_eval_foo_bb3_in___7, Arg_2: 2*2^(4*Arg_3*Arg_3+8*Arg_3+3) {O(EXP)}
6: n_eval_foo_bb2_in___10->n_eval_foo_bb3_in___7, Arg_3: 2*Arg_3 {O(n)}
6: n_eval_foo_bb2_in___10->n_eval_foo_bb3_in___7, Arg_4: 2*Arg_4 {O(n)}
7: n_eval_foo_bb2_in___10->n_eval_foo_bb4_in___6, Arg_0: 2*Arg_3+1 {O(n)}
7: n_eval_foo_bb2_in___10->n_eval_foo_bb4_in___6, Arg_1: 2^(4*Arg_3*Arg_3+8*Arg_3+3)*4+2*Arg_4+4 {O(EXP)}
7: n_eval_foo_bb2_in___10->n_eval_foo_bb4_in___6, Arg_2: 2*2^(4*Arg_3*Arg_3+8*Arg_3+3)+2 {O(EXP)}
7: n_eval_foo_bb2_in___10->n_eval_foo_bb4_in___6, Arg_3: 2*Arg_3 {O(n)}
7: n_eval_foo_bb2_in___10->n_eval_foo_bb4_in___6, Arg_4: 2*Arg_4 {O(n)}
8: n_eval_foo_bb3_in___7->n_eval_foo_bb2_in___10, Arg_0: 2*Arg_3+1 {O(n)}
8: n_eval_foo_bb3_in___7->n_eval_foo_bb2_in___10, Arg_1: 2*2^(4*Arg_3*Arg_3+8*Arg_3+3)+Arg_4+2 {O(EXP)}
8: n_eval_foo_bb3_in___7->n_eval_foo_bb2_in___10, Arg_2: 2*2^(4*Arg_3*Arg_3+8*Arg_3+3) {O(EXP)}
8: n_eval_foo_bb3_in___7->n_eval_foo_bb2_in___10, Arg_3: 2*Arg_3 {O(n)}
8: n_eval_foo_bb3_in___7->n_eval_foo_bb2_in___10, Arg_4: 2*Arg_4 {O(n)}
9: n_eval_foo_bb4_in___6->n_eval_foo_bb1_in___5, Arg_0: 2*Arg_3+1 {O(n)}
9: n_eval_foo_bb4_in___6->n_eval_foo_bb1_in___5, Arg_1: 2*2^(4*Arg_3*Arg_3+8*Arg_3+3)+2 {O(EXP)}
9: n_eval_foo_bb4_in___6->n_eval_foo_bb1_in___5, Arg_2: 2*2^(4*Arg_3*Arg_3+8*Arg_3+3)+2 {O(EXP)}
9: n_eval_foo_bb4_in___6->n_eval_foo_bb1_in___5, Arg_3: 2*Arg_3 {O(n)}
9: n_eval_foo_bb4_in___6->n_eval_foo_bb1_in___5, Arg_4: 2*Arg_4 {O(n)}
10: n_eval_foo_bb5_in___4->n_eval_foo_stop___3, Arg_0: 1 {O(1)}
10: n_eval_foo_bb5_in___4->n_eval_foo_stop___3, Arg_1: 2*2^(4*Arg_3*Arg_3+8*Arg_3+3)+2 {O(EXP)}
10: n_eval_foo_bb5_in___4->n_eval_foo_stop___3, Arg_2: 2*2^(4*Arg_3*Arg_3+8*Arg_3+3)+2 {O(EXP)}
10: n_eval_foo_bb5_in___4->n_eval_foo_stop___3, Arg_3: 2*Arg_3 {O(n)}
10: n_eval_foo_bb5_in___4->n_eval_foo_stop___3, Arg_4: 2*Arg_4 {O(n)}
11: n_eval_foo_bb5_in___8->n_eval_foo_stop___1, Arg_0: Arg_3 {O(n)}
11: n_eval_foo_bb5_in___8->n_eval_foo_stop___1, Arg_1: Arg_4 {O(n)}
11: n_eval_foo_bb5_in___8->n_eval_foo_stop___1, Arg_2: Arg_2 {O(n)}
11: n_eval_foo_bb5_in___8->n_eval_foo_stop___1, Arg_3: Arg_3 {O(n)}
11: n_eval_foo_bb5_in___8->n_eval_foo_stop___1, Arg_4: Arg_4 {O(n)}
12: n_eval_foo_bb5_in___9->n_eval_foo_stop___2, Arg_0: Arg_3 {O(n)}
12: n_eval_foo_bb5_in___9->n_eval_foo_stop___2, Arg_1: Arg_4 {O(n)}
12: n_eval_foo_bb5_in___9->n_eval_foo_stop___2, Arg_2: Arg_2 {O(n)}
12: n_eval_foo_bb5_in___9->n_eval_foo_stop___2, Arg_3: Arg_3 {O(n)}
12: n_eval_foo_bb5_in___9->n_eval_foo_stop___2, Arg_4: Arg_4 {O(n)}
13: n_eval_foo_start->n_eval_foo_bb0_in___12, Arg_0: Arg_0 {O(n)}
13: n_eval_foo_start->n_eval_foo_bb0_in___12, Arg_1: Arg_1 {O(n)}
13: n_eval_foo_start->n_eval_foo_bb0_in___12, Arg_2: Arg_2 {O(n)}
13: n_eval_foo_start->n_eval_foo_bb0_in___12, Arg_3: Arg_3 {O(n)}
13: n_eval_foo_start->n_eval_foo_bb0_in___12, Arg_4: Arg_4 {O(n)}