Initial Problem

Start: n_eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5, Arg_6
Temp_Vars:
Locations: n_eval_foo_bb0_in___9, n_eval_foo_bb1_in___5, n_eval_foo_bb1_in___8, n_eval_foo_bb2_in___4, n_eval_foo_bb2_in___7, n_eval_foo_bb3_in___3, n_eval_foo_bb3_in___6, n_eval_foo_start, n_eval_foo_stop___1, n_eval_foo_stop___2
Transitions:
0:n_eval_foo_bb0_in___9(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> n_eval_foo_bb1_in___8(Arg_3,Arg_4,Arg_6,Arg_3,Arg_4,Arg_5,Arg_6)
1:n_eval_foo_bb1_in___5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> n_eval_foo_bb2_in___4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:0<Arg_2
2:n_eval_foo_bb1_in___5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> n_eval_foo_bb3_in___3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_2<=0
3:n_eval_foo_bb1_in___8(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> n_eval_foo_bb2_in___7(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_2<=Arg_6 && Arg_6<=Arg_2 && Arg_0<=Arg_3 && Arg_3<=Arg_0 && Arg_1<=Arg_4 && Arg_4<=Arg_1 && 0<Arg_2
4:n_eval_foo_bb1_in___8(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> n_eval_foo_bb3_in___6(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_2<=Arg_6 && Arg_6<=Arg_2 && Arg_0<=Arg_3 && Arg_3<=Arg_0 && Arg_1<=Arg_4 && Arg_4<=Arg_1 && Arg_2<=0
5:n_eval_foo_bb2_in___4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> n_eval_foo_bb1_in___5(3*Arg_0-4*Arg_1,4*Arg_0+3*Arg_1,Arg_0+Arg_2-1,Arg_3,Arg_4,Arg_5,Arg_6):|:0<Arg_2
6:n_eval_foo_bb2_in___7(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> n_eval_foo_bb1_in___5(3*Arg_0-4*Arg_1,4*Arg_0+3*Arg_1,Arg_0+Arg_2-1,Arg_3,Arg_4,Arg_5,Arg_6):|:0<Arg_6 && Arg_0<=Arg_3 && Arg_3<=Arg_0 && Arg_2<=Arg_6 && Arg_6<=Arg_2 && Arg_1<=Arg_4 && Arg_4<=Arg_1
7:n_eval_foo_bb3_in___3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> n_eval_foo_stop___2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_2<=0
8:n_eval_foo_bb3_in___6(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> n_eval_foo_stop___1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_6<=0 && Arg_1<=Arg_4 && Arg_4<=Arg_1 && Arg_2<=Arg_6 && Arg_6<=Arg_2 && Arg_0<=Arg_3 && Arg_3<=Arg_0
9:n_eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> n_eval_foo_bb0_in___9(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)

Preprocessing

Eliminate variables {Arg_5} that do not contribute to the problem

Found invariant 1<=Arg_6 && 2<=Arg_2+Arg_6 && 1<=Arg_2 for location n_eval_foo_bb2_in___4

Found invariant Arg_6<=Arg_2 && 1<=Arg_6 && 2<=Arg_2+Arg_6 && Arg_2<=Arg_6 && Arg_4<=Arg_1 && Arg_1<=Arg_4 && Arg_3<=Arg_0 && Arg_0<=Arg_3 && 1<=Arg_2 for location n_eval_foo_bb2_in___7

Found invariant Arg_6<=0 && Arg_6<=Arg_2 && Arg_2+Arg_6<=0 && Arg_2<=Arg_6 && Arg_4<=Arg_1 && Arg_1<=Arg_4 && Arg_3<=Arg_0 && Arg_0<=Arg_3 && Arg_2<=0 for location n_eval_foo_bb3_in___6

Found invariant 1<=Arg_6 && 1+Arg_2<=Arg_6 && Arg_2<=0 for location n_eval_foo_stop___2

Found invariant 1<=Arg_6 for location n_eval_foo_bb1_in___5

Found invariant Arg_6<=0 && Arg_6<=Arg_2 && Arg_2+Arg_6<=0 && Arg_2<=Arg_6 && Arg_4<=Arg_1 && Arg_1<=Arg_4 && Arg_3<=Arg_0 && Arg_0<=Arg_3 && Arg_2<=0 for location n_eval_foo_stop___1

Found invariant 1<=Arg_6 && 1+Arg_2<=Arg_6 && Arg_2<=0 for location n_eval_foo_bb3_in___3

Found invariant Arg_6<=Arg_2 && Arg_2<=Arg_6 && Arg_4<=Arg_1 && Arg_1<=Arg_4 && Arg_3<=Arg_0 && Arg_0<=Arg_3 for location n_eval_foo_bb1_in___8

Problem after Preprocessing

Start: n_eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_6
Temp_Vars:
Locations: n_eval_foo_bb0_in___9, n_eval_foo_bb1_in___5, n_eval_foo_bb1_in___8, n_eval_foo_bb2_in___4, n_eval_foo_bb2_in___7, n_eval_foo_bb3_in___3, n_eval_foo_bb3_in___6, n_eval_foo_start, n_eval_foo_stop___1, n_eval_foo_stop___2
Transitions:
20:n_eval_foo_bb0_in___9(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_6) -> n_eval_foo_bb1_in___8(Arg_3,Arg_4,Arg_6,Arg_3,Arg_4,Arg_6)
21:n_eval_foo_bb1_in___5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_6) -> n_eval_foo_bb2_in___4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_6):|:1<=Arg_6 && 0<Arg_2
22:n_eval_foo_bb1_in___5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_6) -> n_eval_foo_bb3_in___3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_6):|:1<=Arg_6 && Arg_2<=0
23:n_eval_foo_bb1_in___8(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_6) -> n_eval_foo_bb2_in___7(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_6):|:Arg_6<=Arg_2 && Arg_2<=Arg_6 && Arg_4<=Arg_1 && Arg_1<=Arg_4 && Arg_3<=Arg_0 && Arg_0<=Arg_3 && Arg_2<=Arg_6 && Arg_6<=Arg_2 && Arg_0<=Arg_3 && Arg_3<=Arg_0 && Arg_1<=Arg_4 && Arg_4<=Arg_1 && 0<Arg_2
24:n_eval_foo_bb1_in___8(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_6) -> n_eval_foo_bb3_in___6(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_6):|:Arg_6<=Arg_2 && Arg_2<=Arg_6 && Arg_4<=Arg_1 && Arg_1<=Arg_4 && Arg_3<=Arg_0 && Arg_0<=Arg_3 && Arg_2<=Arg_6 && Arg_6<=Arg_2 && Arg_0<=Arg_3 && Arg_3<=Arg_0 && Arg_1<=Arg_4 && Arg_4<=Arg_1 && Arg_2<=0
25:n_eval_foo_bb2_in___4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_6) -> n_eval_foo_bb1_in___5(3*Arg_0-4*Arg_1,4*Arg_0+3*Arg_1,Arg_0+Arg_2-1,Arg_3,Arg_4,Arg_6):|:1<=Arg_6 && 2<=Arg_2+Arg_6 && 1<=Arg_2 && 0<Arg_2
26:n_eval_foo_bb2_in___7(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_6) -> n_eval_foo_bb1_in___5(3*Arg_0-4*Arg_1,4*Arg_0+3*Arg_1,Arg_0+Arg_2-1,Arg_3,Arg_4,Arg_6):|:Arg_6<=Arg_2 && 1<=Arg_6 && 2<=Arg_2+Arg_6 && Arg_2<=Arg_6 && Arg_4<=Arg_1 && Arg_1<=Arg_4 && Arg_3<=Arg_0 && Arg_0<=Arg_3 && 1<=Arg_2 && 0<Arg_6 && Arg_0<=Arg_3 && Arg_3<=Arg_0 && Arg_2<=Arg_6 && Arg_6<=Arg_2 && Arg_1<=Arg_4 && Arg_4<=Arg_1
27:n_eval_foo_bb3_in___3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_6) -> n_eval_foo_stop___2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_6):|:1<=Arg_6 && 1+Arg_2<=Arg_6 && Arg_2<=0 && Arg_2<=0
28:n_eval_foo_bb3_in___6(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_6) -> n_eval_foo_stop___1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_6):|:Arg_6<=0 && Arg_6<=Arg_2 && Arg_2+Arg_6<=0 && Arg_2<=Arg_6 && Arg_4<=Arg_1 && Arg_1<=Arg_4 && Arg_3<=Arg_0 && Arg_0<=Arg_3 && Arg_2<=0 && Arg_6<=0 && Arg_1<=Arg_4 && Arg_4<=Arg_1 && Arg_2<=Arg_6 && Arg_6<=Arg_2 && Arg_0<=Arg_3 && Arg_3<=Arg_0
29:n_eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_6) -> n_eval_foo_bb0_in___9(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_6)

All Bounds

Timebounds

Overall timebound:inf {Infinity}
20: n_eval_foo_bb0_in___9->n_eval_foo_bb1_in___8: 1 {O(1)}
21: n_eval_foo_bb1_in___5->n_eval_foo_bb2_in___4: inf {Infinity}
22: n_eval_foo_bb1_in___5->n_eval_foo_bb3_in___3: 1 {O(1)}
23: n_eval_foo_bb1_in___8->n_eval_foo_bb2_in___7: 1 {O(1)}
24: n_eval_foo_bb1_in___8->n_eval_foo_bb3_in___6: 1 {O(1)}
25: n_eval_foo_bb2_in___4->n_eval_foo_bb1_in___5: inf {Infinity}
26: n_eval_foo_bb2_in___7->n_eval_foo_bb1_in___5: 1 {O(1)}
27: n_eval_foo_bb3_in___3->n_eval_foo_stop___2: 1 {O(1)}
28: n_eval_foo_bb3_in___6->n_eval_foo_stop___1: 1 {O(1)}
29: n_eval_foo_start->n_eval_foo_bb0_in___9: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
20: n_eval_foo_bb0_in___9->n_eval_foo_bb1_in___8: 1 {O(1)}
21: n_eval_foo_bb1_in___5->n_eval_foo_bb2_in___4: inf {Infinity}
22: n_eval_foo_bb1_in___5->n_eval_foo_bb3_in___3: 1 {O(1)}
23: n_eval_foo_bb1_in___8->n_eval_foo_bb2_in___7: 1 {O(1)}
24: n_eval_foo_bb1_in___8->n_eval_foo_bb3_in___6: 1 {O(1)}
25: n_eval_foo_bb2_in___4->n_eval_foo_bb1_in___5: inf {Infinity}
26: n_eval_foo_bb2_in___7->n_eval_foo_bb1_in___5: 1 {O(1)}
27: n_eval_foo_bb3_in___3->n_eval_foo_stop___2: 1 {O(1)}
28: n_eval_foo_bb3_in___6->n_eval_foo_stop___1: 1 {O(1)}
29: n_eval_foo_start->n_eval_foo_bb0_in___9: 1 {O(1)}

Sizebounds

20: n_eval_foo_bb0_in___9->n_eval_foo_bb1_in___8, Arg_0: Arg_3 {O(n)}
20: n_eval_foo_bb0_in___9->n_eval_foo_bb1_in___8, Arg_1: Arg_4 {O(n)}
20: n_eval_foo_bb0_in___9->n_eval_foo_bb1_in___8, Arg_2: Arg_6 {O(n)}
20: n_eval_foo_bb0_in___9->n_eval_foo_bb1_in___8, Arg_3: Arg_3 {O(n)}
20: n_eval_foo_bb0_in___9->n_eval_foo_bb1_in___8, Arg_4: Arg_4 {O(n)}
20: n_eval_foo_bb0_in___9->n_eval_foo_bb1_in___8, Arg_6: Arg_6 {O(n)}
21: n_eval_foo_bb1_in___5->n_eval_foo_bb2_in___4, Arg_3: Arg_3 {O(n)}
21: n_eval_foo_bb1_in___5->n_eval_foo_bb2_in___4, Arg_4: Arg_4 {O(n)}
21: n_eval_foo_bb1_in___5->n_eval_foo_bb2_in___4, Arg_6: Arg_6 {O(n)}
22: n_eval_foo_bb1_in___5->n_eval_foo_bb3_in___3, Arg_3: 2*Arg_3 {O(n)}
22: n_eval_foo_bb1_in___5->n_eval_foo_bb3_in___3, Arg_4: 2*Arg_4 {O(n)}
22: n_eval_foo_bb1_in___5->n_eval_foo_bb3_in___3, Arg_6: 2*Arg_6 {O(n)}
23: n_eval_foo_bb1_in___8->n_eval_foo_bb2_in___7, Arg_0: Arg_3 {O(n)}
23: n_eval_foo_bb1_in___8->n_eval_foo_bb2_in___7, Arg_1: Arg_4 {O(n)}
23: n_eval_foo_bb1_in___8->n_eval_foo_bb2_in___7, Arg_2: Arg_6 {O(n)}
23: n_eval_foo_bb1_in___8->n_eval_foo_bb2_in___7, Arg_3: Arg_3 {O(n)}
23: n_eval_foo_bb1_in___8->n_eval_foo_bb2_in___7, Arg_4: Arg_4 {O(n)}
23: n_eval_foo_bb1_in___8->n_eval_foo_bb2_in___7, Arg_6: Arg_6 {O(n)}
24: n_eval_foo_bb1_in___8->n_eval_foo_bb3_in___6, Arg_0: Arg_3 {O(n)}
24: n_eval_foo_bb1_in___8->n_eval_foo_bb3_in___6, Arg_1: Arg_4 {O(n)}
24: n_eval_foo_bb1_in___8->n_eval_foo_bb3_in___6, Arg_2: Arg_6 {O(n)}
24: n_eval_foo_bb1_in___8->n_eval_foo_bb3_in___6, Arg_3: Arg_3 {O(n)}
24: n_eval_foo_bb1_in___8->n_eval_foo_bb3_in___6, Arg_4: Arg_4 {O(n)}
24: n_eval_foo_bb1_in___8->n_eval_foo_bb3_in___6, Arg_6: Arg_6 {O(n)}
25: n_eval_foo_bb2_in___4->n_eval_foo_bb1_in___5, Arg_3: Arg_3 {O(n)}
25: n_eval_foo_bb2_in___4->n_eval_foo_bb1_in___5, Arg_4: Arg_4 {O(n)}
25: n_eval_foo_bb2_in___4->n_eval_foo_bb1_in___5, Arg_6: Arg_6 {O(n)}
26: n_eval_foo_bb2_in___7->n_eval_foo_bb1_in___5, Arg_0: 4*Arg_3+4*Arg_4 {O(n)}
26: n_eval_foo_bb2_in___7->n_eval_foo_bb1_in___5, Arg_1: 4*Arg_3+4*Arg_4 {O(n)}
26: n_eval_foo_bb2_in___7->n_eval_foo_bb1_in___5, Arg_2: Arg_3+Arg_6 {O(n)}
26: n_eval_foo_bb2_in___7->n_eval_foo_bb1_in___5, Arg_3: Arg_3 {O(n)}
26: n_eval_foo_bb2_in___7->n_eval_foo_bb1_in___5, Arg_4: Arg_4 {O(n)}
26: n_eval_foo_bb2_in___7->n_eval_foo_bb1_in___5, Arg_6: Arg_6 {O(n)}
27: n_eval_foo_bb3_in___3->n_eval_foo_stop___2, Arg_3: 2*Arg_3 {O(n)}
27: n_eval_foo_bb3_in___3->n_eval_foo_stop___2, Arg_4: 2*Arg_4 {O(n)}
27: n_eval_foo_bb3_in___3->n_eval_foo_stop___2, Arg_6: 2*Arg_6 {O(n)}
28: n_eval_foo_bb3_in___6->n_eval_foo_stop___1, Arg_0: Arg_3 {O(n)}
28: n_eval_foo_bb3_in___6->n_eval_foo_stop___1, Arg_1: Arg_4 {O(n)}
28: n_eval_foo_bb3_in___6->n_eval_foo_stop___1, Arg_2: Arg_6 {O(n)}
28: n_eval_foo_bb3_in___6->n_eval_foo_stop___1, Arg_3: Arg_3 {O(n)}
28: n_eval_foo_bb3_in___6->n_eval_foo_stop___1, Arg_4: Arg_4 {O(n)}
28: n_eval_foo_bb3_in___6->n_eval_foo_stop___1, Arg_6: Arg_6 {O(n)}
29: n_eval_foo_start->n_eval_foo_bb0_in___9, Arg_0: Arg_0 {O(n)}
29: n_eval_foo_start->n_eval_foo_bb0_in___9, Arg_1: Arg_1 {O(n)}
29: n_eval_foo_start->n_eval_foo_bb0_in___9, Arg_2: Arg_2 {O(n)}
29: n_eval_foo_start->n_eval_foo_bb0_in___9, Arg_3: Arg_3 {O(n)}
29: n_eval_foo_start->n_eval_foo_bb0_in___9, Arg_4: Arg_4 {O(n)}
29: n_eval_foo_start->n_eval_foo_bb0_in___9, Arg_6: Arg_6 {O(n)}