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___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,Arg_4) -> n_eval_foo_bb1_in___14(Arg_3,Arg_1,Arg_2,Arg_3,Arg_4)
1:n_eval_foo_bb1_in___14(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb2_in___13(Arg_0,1,Arg_2,Arg_3,Arg_4):|:Arg_0<=Arg_3 && Arg_3<=Arg_0 && 0<=Arg_0
2:n_eval_foo_bb1_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):|:Arg_0<=Arg_3 && Arg_3<=Arg_0 && Arg_0<0
3:n_eval_foo_bb1_in___3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb2_in___2(Arg_0,1,Arg_2,Arg_3,Arg_4):|:Arg_0<=1 && 0<=Arg_0
4:n_eval_foo_bb1_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 && Arg_0<0
5:n_eval_foo_bb1_in___6(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb2_in___13(Arg_0,1,Arg_2,Arg_3,Arg_4):|:0<=Arg_0
6:n_eval_foo_bb1_in___6(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<0
7:n_eval_foo_bb2_in___13(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb3_in___11(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|: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,Arg_4) -> n_eval_foo_bb4_in___10(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|: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,Arg_4) -> n_eval_foo_bb4_in___10(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|: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,Arg_4) -> n_eval_foo_bb3_in___8(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_1<Arg_0
11:n_eval_foo_bb2_in___9(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb4_in___7(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_0<=Arg_1
12:n_eval_foo_bb3_in___11(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb2_in___9(Arg_0,2*Arg_1,Arg_2,Arg_3,Arg_4):|:1<Arg_0 && Arg_1<=1 && 1<=Arg_1
13:n_eval_foo_bb3_in___8(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb2_in___9(Arg_0,2*Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_1<Arg_0
14:n_eval_foo_bb4_in___10(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb1_in___3(Arg_0-1,Arg_1,Arg_2,Arg_3,Arg_4):|: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,Arg_4) -> n_eval_foo_bb1_in___6(Arg_0-1,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_0<=Arg_1
16:n_eval_foo_bb5_in___12(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_0<0 && Arg_0<=Arg_3 && Arg_3<=Arg_0
17:n_eval_foo_bb5_in___5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_stop___4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_0<0
18:n_eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb0_in___15(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)
Preprocessing
Eliminate variables {Arg_2,Arg_4} that do not contribute to the problem
Found invariant Arg_3<=Arg_0 && Arg_0<=Arg_3 for location n_eval_foo_bb1_in___14
Found invariant 2<=Arg_3 && 4<=Arg_1+Arg_3 && 4<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 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_3 && 1<=Arg_1+Arg_3 && Arg_1<=1+Arg_3 && 0<=1+Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 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_3 && 1<=Arg_1+Arg_3 && Arg_1<=1+Arg_3 && 0<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 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_3 && 2<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 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_3 && 1<=Arg_1+Arg_3 && Arg_1<=1+Arg_3 && 0<=1+Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 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_3 && 1<=Arg_1+Arg_3 && Arg_1<=1+Arg_3 && 0<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 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_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___12
Found invariant 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___1
Found invariant 0<=Arg_3 && 1<=Arg_1+Arg_3 && Arg_1<=1+Arg_3 && 0<=1+Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 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_3 && 5<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && 6<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 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_3 && 4<=Arg_1+Arg_3 && 4<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && 2<=Arg_0 for location n_eval_foo_bb2_in___9
Found invariant 2<=Arg_3 && 4<=Arg_1+Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 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_3 && 3<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && 4<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 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_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:
38:n_eval_foo_bb0_in___15(Arg_0,Arg_1,Arg_3) -> n_eval_foo_bb1_in___14(Arg_3,Arg_1,Arg_3)
39:n_eval_foo_bb1_in___14(Arg_0,Arg_1,Arg_3) -> n_eval_foo_bb2_in___13(Arg_0,1,Arg_3):|:Arg_3<=Arg_0 && Arg_0<=Arg_3 && Arg_0<=Arg_3 && Arg_3<=Arg_0 && 0<=Arg_0
40:n_eval_foo_bb1_in___14(Arg_0,Arg_1,Arg_3) -> n_eval_foo_bb5_in___12(Arg_0,Arg_1,Arg_3):|:Arg_3<=Arg_0 && Arg_0<=Arg_3 && Arg_0<=Arg_3 && Arg_3<=Arg_0 && Arg_0<0
41:n_eval_foo_bb1_in___3(Arg_0,Arg_1,Arg_3) -> n_eval_foo_bb2_in___2(Arg_0,1,Arg_3):|:0<=Arg_3 && 1<=Arg_1+Arg_3 && Arg_1<=1+Arg_3 && 0<=1+Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 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_3) -> n_eval_foo_bb5_in___5(Arg_0,Arg_1,Arg_3):|:0<=Arg_3 && 1<=Arg_1+Arg_3 && Arg_1<=1+Arg_3 && 0<=1+Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 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_3) -> n_eval_foo_bb2_in___13(Arg_0,1,Arg_3):|:2<=Arg_3 && 4<=Arg_1+Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 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_3) -> n_eval_foo_bb3_in___11(Arg_0,Arg_1,Arg_3):|:0<=Arg_3 && 1<=Arg_1+Arg_3 && Arg_1<=1+Arg_3 && 0<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 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_3) -> n_eval_foo_bb4_in___10(Arg_0,Arg_1,Arg_3):|:0<=Arg_3 && 1<=Arg_1+Arg_3 && Arg_1<=1+Arg_3 && 0<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 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_3) -> n_eval_foo_bb4_in___10(Arg_0,Arg_1,Arg_3):|:1<=Arg_3 && 2<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 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_3) -> n_eval_foo_bb3_in___8(Arg_0,Arg_1,Arg_3):|:2<=Arg_3 && 4<=Arg_1+Arg_3 && 4<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 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_3) -> n_eval_foo_bb4_in___7(Arg_0,Arg_1,Arg_3):|:2<=Arg_3 && 4<=Arg_1+Arg_3 && 4<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 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_3) -> n_eval_foo_bb2_in___9(Arg_0,2*Arg_1,Arg_3):|:2<=Arg_3 && 3<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && 4<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 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_3) -> n_eval_foo_bb2_in___9(Arg_0,2*Arg_1,Arg_3):|:3<=Arg_3 && 5<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && 6<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 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_3) -> n_eval_foo_bb1_in___3(Arg_0-1,Arg_1,Arg_3):|:0<=Arg_3 && 1<=Arg_1+Arg_3 && Arg_1<=1+Arg_3 && 0<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 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_3) -> n_eval_foo_bb1_in___6(Arg_0-1,Arg_1,Arg_3):|:2<=Arg_3 && 4<=Arg_1+Arg_3 && 4<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 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_3) -> n_eval_foo_stop___1(Arg_0,Arg_1,Arg_3):|: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
55:n_eval_foo_bb5_in___5(Arg_0,Arg_1,Arg_3) -> n_eval_foo_stop___4(Arg_0,Arg_1,Arg_3):|:0<=Arg_3 && 1<=Arg_1+Arg_3 && Arg_1<=1+Arg_3 && 0<=1+Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 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_3) -> n_eval_foo_bb0_in___15(Arg_0,Arg_1,Arg_3)
MPRF for transition 43:n_eval_foo_bb1_in___6(Arg_0,Arg_1,Arg_3) -> n_eval_foo_bb2_in___13(Arg_0,1,Arg_3):|:2<=Arg_3 && 4<=Arg_1+Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 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_3+1 {O(n)}
MPRF:
n_eval_foo_bb2_in___13 [Arg_0-Arg_1 ]
n_eval_foo_bb3_in___11 [Arg_0-1 ]
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_0-1 ]
n_eval_foo_bb1_in___6 [Arg_0 ]
MPRF for transition 45:n_eval_foo_bb2_in___13(Arg_0,Arg_1,Arg_3) -> n_eval_foo_bb3_in___11(Arg_0,Arg_1,Arg_3):|:0<=Arg_3 && 1<=Arg_1+Arg_3 && Arg_1<=1+Arg_3 && 0<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 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_3+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_0 ]
n_eval_foo_bb1_in___6 [Arg_0+1 ]
MPRF for transition 49:n_eval_foo_bb2_in___9(Arg_0,Arg_1,Arg_3) -> n_eval_foo_bb4_in___7(Arg_0,Arg_1,Arg_3):|:2<=Arg_3 && 4<=Arg_1+Arg_3 && 4<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_0<=Arg_1 of depth 1:
new bound:
Arg_3+1 {O(n)}
MPRF:
n_eval_foo_bb2_in___13 [Arg_0-Arg_1 ]
n_eval_foo_bb3_in___11 [Arg_0+1-2*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_0-2 ]
n_eval_foo_bb1_in___6 [Arg_0-1 ]
MPRF for transition 50:n_eval_foo_bb3_in___11(Arg_0,Arg_1,Arg_3) -> n_eval_foo_bb2_in___9(Arg_0,2*Arg_1,Arg_3):|:2<=Arg_3 && 3<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && 4<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 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_3+1 {O(n)}
MPRF:
n_eval_foo_bb2_in___13 [Arg_0-1 ]
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_3) -> n_eval_foo_bb1_in___6(Arg_0-1,Arg_1,Arg_3):|:2<=Arg_3 && 4<=Arg_1+Arg_3 && 4<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 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_3+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_0+1 ]
n_eval_foo_bb1_in___6 [Arg_0+1 ]
MPRF for transition 48:n_eval_foo_bb2_in___9(Arg_0,Arg_1,Arg_3) -> n_eval_foo_bb3_in___8(Arg_0,Arg_1,Arg_3):|:2<=Arg_3 && 4<=Arg_1+Arg_3 && 4<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_1<Arg_0 of depth 1:
new bound:
Arg_3*Arg_3+2*Arg_3+2 {O(n^2)}
MPRF:
n_eval_foo_bb1_in___6 [Arg_3 ]
n_eval_foo_bb2_in___13 [Arg_3-2*Arg_1 ]
n_eval_foo_bb4_in___7 [Arg_3-Arg_1 ]
n_eval_foo_bb3_in___11 [Arg_3-2*Arg_1 ]
n_eval_foo_bb3_in___8 [Arg_3-2*Arg_1 ]
n_eval_foo_bb2_in___9 [Arg_3-Arg_1 ]
MPRF for transition 51:n_eval_foo_bb3_in___8(Arg_0,Arg_1,Arg_3) -> n_eval_foo_bb2_in___9(Arg_0,2*Arg_1,Arg_3):|:3<=Arg_3 && 5<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && 6<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 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:
2*Arg_3*Arg_3+4*Arg_3 {O(n^2)}
MPRF:
n_eval_foo_bb1_in___6 [2*Arg_3 ]
n_eval_foo_bb2_in___13 [2*Arg_3 ]
n_eval_foo_bb4_in___7 [2*Arg_3+2-Arg_0-Arg_1 ]
n_eval_foo_bb3_in___11 [2*Arg_3-Arg_0 ]
n_eval_foo_bb3_in___8 [2*Arg_3+2-Arg_0-Arg_1 ]
n_eval_foo_bb2_in___9 [2*Arg_3+2-Arg_0-Arg_1 ]
MPRF for transition 41:n_eval_foo_bb1_in___3(Arg_0,Arg_1,Arg_3) -> n_eval_foo_bb2_in___2(Arg_0,1,Arg_3):|:0<=Arg_3 && 1<=Arg_1+Arg_3 && Arg_1<=1+Arg_3 && 0<=1+Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 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_3) -> n_eval_foo_bb4_in___10(Arg_0,Arg_1,Arg_3):|:1<=Arg_3 && 2<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 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_3) -> n_eval_foo_bb1_in___3(Arg_0-1,Arg_1,Arg_3):|:0<=Arg_3 && 1<=Arg_1+Arg_3 && Arg_1<=1+Arg_3 && 0<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 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:3*Arg_3*Arg_3+11*Arg_3+19 {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_3+1 {O(n)}
45: n_eval_foo_bb2_in___13->n_eval_foo_bb3_in___11: Arg_3+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_3*Arg_3+2*Arg_3+2 {O(n^2)}
49: n_eval_foo_bb2_in___9->n_eval_foo_bb4_in___7: Arg_3+1 {O(n)}
50: n_eval_foo_bb3_in___11->n_eval_foo_bb2_in___9: Arg_3+1 {O(n)}
51: n_eval_foo_bb3_in___8->n_eval_foo_bb2_in___9: 2*Arg_3*Arg_3+4*Arg_3 {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_3+1 {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: 3*Arg_3*Arg_3+11*Arg_3+19 {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_3+1 {O(n)}
45: n_eval_foo_bb2_in___13->n_eval_foo_bb3_in___11: Arg_3+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_3*Arg_3+2*Arg_3+2 {O(n^2)}
49: n_eval_foo_bb2_in___9->n_eval_foo_bb4_in___7: Arg_3+1 {O(n)}
50: n_eval_foo_bb3_in___11->n_eval_foo_bb2_in___9: Arg_3+1 {O(n)}
51: n_eval_foo_bb3_in___8->n_eval_foo_bb2_in___9: 2*Arg_3*Arg_3+4*Arg_3 {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_3+1 {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_3 {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_3: Arg_3 {O(n)}
39: n_eval_foo_bb1_in___14->n_eval_foo_bb2_in___13, Arg_0: Arg_3 {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_3: Arg_3 {O(n)}
40: n_eval_foo_bb1_in___14->n_eval_foo_bb5_in___12, Arg_0: Arg_3 {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_3: Arg_3 {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_3: 2*Arg_3 {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_3: 2*Arg_3 {O(n)}
43: n_eval_foo_bb1_in___6->n_eval_foo_bb2_in___13, Arg_0: Arg_3 {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_3: Arg_3 {O(n)}
45: n_eval_foo_bb2_in___13->n_eval_foo_bb3_in___11, Arg_0: Arg_3 {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_3: Arg_3 {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_3: 2*Arg_3 {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_3: 2*Arg_3 {O(n)}
48: n_eval_foo_bb2_in___9->n_eval_foo_bb3_in___8, Arg_0: Arg_3 {O(n)}
48: n_eval_foo_bb2_in___9->n_eval_foo_bb3_in___8, Arg_1: 2*2^(2*Arg_3*Arg_3+4*Arg_3) {O(EXP)}
48: n_eval_foo_bb2_in___9->n_eval_foo_bb3_in___8, Arg_3: Arg_3 {O(n)}
49: n_eval_foo_bb2_in___9->n_eval_foo_bb4_in___7, Arg_0: Arg_3 {O(n)}
49: n_eval_foo_bb2_in___9->n_eval_foo_bb4_in___7, Arg_1: 2*2^(2*Arg_3*Arg_3+4*Arg_3)+2 {O(EXP)}
49: n_eval_foo_bb2_in___9->n_eval_foo_bb4_in___7, Arg_3: Arg_3 {O(n)}
50: n_eval_foo_bb3_in___11->n_eval_foo_bb2_in___9, Arg_0: Arg_3 {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_3: Arg_3 {O(n)}
51: n_eval_foo_bb3_in___8->n_eval_foo_bb2_in___9, Arg_0: Arg_3 {O(n)}
51: n_eval_foo_bb3_in___8->n_eval_foo_bb2_in___9, Arg_1: 2*2^(2*Arg_3*Arg_3+4*Arg_3) {O(EXP)}
51: n_eval_foo_bb3_in___8->n_eval_foo_bb2_in___9, Arg_3: Arg_3 {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_3: 2*Arg_3 {O(n)}
53: n_eval_foo_bb4_in___7->n_eval_foo_bb1_in___6, Arg_0: Arg_3 {O(n)}
53: n_eval_foo_bb4_in___7->n_eval_foo_bb1_in___6, Arg_1: 2*2^(2*Arg_3*Arg_3+4*Arg_3)+2 {O(EXP)}
53: n_eval_foo_bb4_in___7->n_eval_foo_bb1_in___6, Arg_3: Arg_3 {O(n)}
54: n_eval_foo_bb5_in___12->n_eval_foo_stop___1, Arg_0: Arg_3 {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_3: Arg_3 {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_3: 2*Arg_3 {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_3: Arg_3 {O(n)}