Initial Problem
Start: n_eval_start_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars: NoDet0
Locations: n_eval_start_0___22, n_eval_start_1___21, n_eval_start_2___20, n_eval_start_3___19, n_eval_start_4___15, n_eval_start_4___9, n_eval_start_5___14, n_eval_start_5___8, n_eval_start_bb0_in___23, n_eval_start_bb1_in___11, n_eval_start_bb1_in___18, n_eval_start_bb2_in___10, n_eval_start_bb2_in___17, n_eval_start_bb3_in___13, n_eval_start_bb3_in___7, n_eval_start_bb4_in___12, n_eval_start_bb4_in___16, n_eval_start_bb4_in___5, n_eval_start_bb5_in___6, n_eval_start_bb6_in___2, n_eval_start_bb6_in___4, n_eval_start_start, n_eval_start_stop___1, n_eval_start_stop___3
Transitions:
0:n_eval_start_0___22(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_1___21(Arg_0,Arg_1,Arg_2,Arg_3)
1:n_eval_start_1___21(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_2___20(Arg_0,Arg_1,Arg_2,Arg_3)
2:n_eval_start_2___20(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_3___19(Arg_0,Arg_1,Arg_2,Arg_3)
3:n_eval_start_3___19(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_bb1_in___18(Arg_0,Arg_1,0,Arg_3)
4:n_eval_start_4___15(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_5___14(NoDet0,Arg_1,Arg_2,Arg_3):|:0<Arg_1 && Arg_2<=0 && 0<=Arg_2
5:n_eval_start_4___9(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_5___8(NoDet0,Arg_1,Arg_2,Arg_3):|:Arg_2<Arg_1
6:n_eval_start_5___14(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_bb3_in___13(Arg_0,Arg_1,Arg_2,Arg_3):|:0<Arg_1 && Arg_2<=0 && 0<=Arg_2 && Arg_0<=0
7:n_eval_start_5___14(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_bb4_in___12(Arg_0,Arg_1,Arg_2,Arg_2):|:0<Arg_1 && Arg_2<=0 && 0<=Arg_2 && 0<Arg_0
8:n_eval_start_5___8(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_bb3_in___7(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<Arg_1 && Arg_0<=0
9:n_eval_start_5___8(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_bb4_in___12(Arg_0,Arg_1,Arg_2,Arg_2):|:Arg_2<Arg_1 && 0<Arg_0
10:n_eval_start_bb0_in___23(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_0___22(Arg_0,Arg_1,Arg_2,Arg_3)
11:n_eval_start_bb1_in___11(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_bb2_in___10(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<Arg_1
12:n_eval_start_bb1_in___11(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_bb4_in___16(Arg_0,Arg_1,Arg_2,Arg_2):|:Arg_1<=Arg_2
13:n_eval_start_bb1_in___18(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_bb2_in___17(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<=0 && 0<=Arg_2 && Arg_2<Arg_1
14:n_eval_start_bb1_in___18(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_bb4_in___16(Arg_0,Arg_1,Arg_2,Arg_2):|:Arg_2<=0 && 0<=Arg_2 && Arg_1<=Arg_2
15:n_eval_start_bb2_in___10(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_4___9(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<Arg_1
16:n_eval_start_bb2_in___17(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_4___15(Arg_0,Arg_1,Arg_2,Arg_3):|:0<Arg_1 && Arg_2<=0 && 0<=Arg_2
17:n_eval_start_bb3_in___13(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_bb1_in___11(Arg_0,Arg_1,Arg_2+1,Arg_3):|:Arg_0<=0 && 0<Arg_1 && Arg_2<=0 && 0<=Arg_2
18:n_eval_start_bb3_in___7(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_bb1_in___11(Arg_0,Arg_1,Arg_2+1,Arg_3):|:Arg_0<=0 && Arg_2<Arg_1
19:n_eval_start_bb4_in___12(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_bb5_in___6(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<Arg_1 && Arg_3<Arg_1
20:n_eval_start_bb4_in___16(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_bb6_in___2(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=Arg_3 && Arg_2<=Arg_3 && Arg_3<=Arg_2 && Arg_1<=Arg_2 && Arg_1<=Arg_3
21:n_eval_start_bb4_in___5(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_bb5_in___6(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<Arg_1
22:n_eval_start_bb4_in___5(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_bb6_in___4(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=Arg_3
23:n_eval_start_bb5_in___6(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_bb4_in___5(Arg_0,Arg_1,Arg_2,Arg_3+1):|:Arg_3<Arg_1
24:n_eval_start_bb6_in___2(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_stop___1(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=Arg_3 && Arg_2<=Arg_3 && Arg_3<=Arg_2
25:n_eval_start_bb6_in___4(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_stop___3(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=Arg_3
26:n_eval_start_start(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_bb0_in___23(Arg_0,Arg_1,Arg_2,Arg_3)
Preprocessing
Found invariant Arg_3<=Arg_1 && 1+Arg_2<=Arg_3 && Arg_1<=Arg_3 && 1+Arg_2<=Arg_1 && 1<=Arg_0 for location n_eval_start_bb6_in___4
Found invariant Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 for location n_eval_start_bb1_in___11
Found invariant Arg_2<=0 && 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 for location n_eval_start_bb2_in___17
Found invariant 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_0<=Arg_2 && 2<=Arg_1 && 2+Arg_0<=Arg_1 && Arg_0<=0 for location n_eval_start_bb3_in___7
Found invariant Arg_3<=Arg_2 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && Arg_1<=Arg_3 && 0<=Arg_2 && Arg_1<=Arg_2 for location n_eval_start_bb4_in___16
Found invariant Arg_3<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 1<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location n_eval_start_bb4_in___12
Found invariant Arg_3<=Arg_2 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && Arg_1<=Arg_3 && 0<=Arg_2 && Arg_1<=Arg_2 for location n_eval_start_bb6_in___2
Found invariant Arg_2<=0 && 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 for location n_eval_start_4___15
Found invariant 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 2<=Arg_1 for location n_eval_start_5___8
Found invariant 1+Arg_3<=Arg_1 && Arg_2<=Arg_3 && 1+Arg_2<=Arg_1 && 1<=Arg_0 for location n_eval_start_bb5_in___6
Found invariant Arg_3<=Arg_2 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && Arg_1<=Arg_3 && 0<=Arg_2 && Arg_1<=Arg_2 for location n_eval_start_stop___1
Found invariant 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_0<=Arg_2 && 2<=Arg_1 && 2+Arg_0<=Arg_1 && Arg_0<=0 for location n_eval_start_4___9
Found invariant Arg_2<=0 && 0<=Arg_2 for location n_eval_start_bb1_in___18
Found invariant Arg_2<=0 && 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 for location n_eval_start_5___14
Found invariant Arg_3<=Arg_1 && 1+Arg_2<=Arg_3 && 1+Arg_2<=Arg_1 && 1<=Arg_0 for location n_eval_start_bb4_in___5
Found invariant Arg_3<=Arg_1 && 1+Arg_2<=Arg_3 && Arg_1<=Arg_3 && 1+Arg_2<=Arg_1 && 1<=Arg_0 for location n_eval_start_stop___3
Found invariant 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_0<=Arg_2 && 2<=Arg_1 && 2+Arg_0<=Arg_1 && Arg_0<=0 for location n_eval_start_bb2_in___10
Found invariant Arg_2<=0 && 1+Arg_2<=Arg_1 && Arg_0+Arg_2<=0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 for location n_eval_start_bb3_in___13
Problem after Preprocessing
Start: n_eval_start_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars: NoDet0
Locations: n_eval_start_0___22, n_eval_start_1___21, n_eval_start_2___20, n_eval_start_3___19, n_eval_start_4___15, n_eval_start_4___9, n_eval_start_5___14, n_eval_start_5___8, n_eval_start_bb0_in___23, n_eval_start_bb1_in___11, n_eval_start_bb1_in___18, n_eval_start_bb2_in___10, n_eval_start_bb2_in___17, n_eval_start_bb3_in___13, n_eval_start_bb3_in___7, n_eval_start_bb4_in___12, n_eval_start_bb4_in___16, n_eval_start_bb4_in___5, n_eval_start_bb5_in___6, n_eval_start_bb6_in___2, n_eval_start_bb6_in___4, n_eval_start_start, n_eval_start_stop___1, n_eval_start_stop___3
Transitions:
0:n_eval_start_0___22(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_1___21(Arg_0,Arg_1,Arg_2,Arg_3)
1:n_eval_start_1___21(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_2___20(Arg_0,Arg_1,Arg_2,Arg_3)
2:n_eval_start_2___20(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_3___19(Arg_0,Arg_1,Arg_2,Arg_3)
3:n_eval_start_3___19(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_bb1_in___18(Arg_0,Arg_1,0,Arg_3)
4:n_eval_start_4___15(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_5___14(NoDet0,Arg_1,Arg_2,Arg_3):|:Arg_2<=0 && 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && 0<Arg_1 && Arg_2<=0 && 0<=Arg_2
5:n_eval_start_4___9(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_5___8(NoDet0,Arg_1,Arg_2,Arg_3):|:1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_0<=Arg_2 && 2<=Arg_1 && 2+Arg_0<=Arg_1 && Arg_0<=0 && Arg_2<Arg_1
6:n_eval_start_5___14(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_bb3_in___13(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<=0 && 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && 0<Arg_1 && Arg_2<=0 && 0<=Arg_2 && Arg_0<=0
7:n_eval_start_5___14(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_bb4_in___12(Arg_0,Arg_1,Arg_2,Arg_2):|:Arg_2<=0 && 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && 0<Arg_1 && Arg_2<=0 && 0<=Arg_2 && 0<Arg_0
8:n_eval_start_5___8(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_bb3_in___7(Arg_0,Arg_1,Arg_2,Arg_3):|:1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_2<Arg_1 && Arg_0<=0
9:n_eval_start_5___8(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_bb4_in___12(Arg_0,Arg_1,Arg_2,Arg_2):|:1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_2<Arg_1 && 0<Arg_0
10:n_eval_start_bb0_in___23(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_0___22(Arg_0,Arg_1,Arg_2,Arg_3)
11:n_eval_start_bb1_in___11(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_bb2_in___10(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 && Arg_2<Arg_1
12:n_eval_start_bb1_in___11(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_bb4_in___16(Arg_0,Arg_1,Arg_2,Arg_2):|:Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 && Arg_1<=Arg_2
13:n_eval_start_bb1_in___18(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_bb2_in___17(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<=0 && 0<=Arg_2 && Arg_2<=0 && 0<=Arg_2 && Arg_2<Arg_1
14:n_eval_start_bb1_in___18(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_bb4_in___16(Arg_0,Arg_1,Arg_2,Arg_2):|:Arg_2<=0 && 0<=Arg_2 && Arg_2<=0 && 0<=Arg_2 && Arg_1<=Arg_2
15:n_eval_start_bb2_in___10(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_4___9(Arg_0,Arg_1,Arg_2,Arg_3):|:1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_0<=Arg_2 && 2<=Arg_1 && 2+Arg_0<=Arg_1 && Arg_0<=0 && Arg_2<Arg_1
16:n_eval_start_bb2_in___17(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_4___15(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<=0 && 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && 0<Arg_1 && Arg_2<=0 && 0<=Arg_2
17:n_eval_start_bb3_in___13(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_bb1_in___11(Arg_0,Arg_1,Arg_2+1,Arg_3):|:Arg_2<=0 && 1+Arg_2<=Arg_1 && Arg_0+Arg_2<=0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 && Arg_0<=0 && 0<Arg_1 && Arg_2<=0 && 0<=Arg_2
18:n_eval_start_bb3_in___7(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_bb1_in___11(Arg_0,Arg_1,Arg_2+1,Arg_3):|:1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_0<=Arg_2 && 2<=Arg_1 && 2+Arg_0<=Arg_1 && Arg_0<=0 && Arg_0<=0 && Arg_2<Arg_1
19:n_eval_start_bb4_in___12(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_bb5_in___6(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 1<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_3<Arg_1 && Arg_3<Arg_1
20:n_eval_start_bb4_in___16(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_bb6_in___2(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_2 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && Arg_1<=Arg_3 && 0<=Arg_2 && Arg_1<=Arg_2 && Arg_1<=Arg_3 && Arg_2<=Arg_3 && Arg_3<=Arg_2 && Arg_1<=Arg_2 && Arg_1<=Arg_3
21:n_eval_start_bb4_in___5(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_bb5_in___6(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_1 && 1+Arg_2<=Arg_3 && 1+Arg_2<=Arg_1 && 1<=Arg_0 && Arg_3<Arg_1
22:n_eval_start_bb4_in___5(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_bb6_in___4(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_1 && 1+Arg_2<=Arg_3 && 1+Arg_2<=Arg_1 && 1<=Arg_0 && Arg_1<=Arg_3
23:n_eval_start_bb5_in___6(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_bb4_in___5(Arg_0,Arg_1,Arg_2,Arg_3+1):|:1+Arg_3<=Arg_1 && Arg_2<=Arg_3 && 1+Arg_2<=Arg_1 && 1<=Arg_0 && Arg_3<Arg_1
24:n_eval_start_bb6_in___2(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_stop___1(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_2 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && Arg_1<=Arg_3 && 0<=Arg_2 && Arg_1<=Arg_2 && Arg_1<=Arg_3 && Arg_2<=Arg_3 && Arg_3<=Arg_2
25:n_eval_start_bb6_in___4(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_stop___3(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_1 && 1+Arg_2<=Arg_3 && Arg_1<=Arg_3 && 1+Arg_2<=Arg_1 && 1<=Arg_0 && Arg_1<=Arg_3
26:n_eval_start_start(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_bb0_in___23(Arg_0,Arg_1,Arg_2,Arg_3)
MPRF for transition 5:n_eval_start_4___9(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_5___8(NoDet0,Arg_1,Arg_2,Arg_3):|:1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_0<=Arg_2 && 2<=Arg_1 && 2+Arg_0<=Arg_1 && Arg_0<=0 && Arg_2<Arg_1 of depth 1:
new bound:
Arg_1+1 {O(n)}
MPRF:
n_eval_start_5___8 [Arg_1-Arg_2-1 ]
n_eval_start_bb2_in___10 [Arg_1-Arg_2 ]
n_eval_start_4___9 [Arg_1-Arg_2 ]
n_eval_start_bb3_in___7 [Arg_1-Arg_2-1 ]
n_eval_start_bb1_in___11 [Arg_1-Arg_2 ]
MPRF for transition 8:n_eval_start_5___8(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_bb3_in___7(Arg_0,Arg_1,Arg_2,Arg_3):|:1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_2<Arg_1 && Arg_0<=0 of depth 1:
new bound:
Arg_1+1 {O(n)}
MPRF:
n_eval_start_5___8 [Arg_1-Arg_2 ]
n_eval_start_bb2_in___10 [Arg_1-Arg_2 ]
n_eval_start_4___9 [Arg_1-Arg_2 ]
n_eval_start_bb3_in___7 [Arg_1-Arg_2-1 ]
n_eval_start_bb1_in___11 [Arg_1-Arg_2 ]
MPRF for transition 11:n_eval_start_bb1_in___11(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_bb2_in___10(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 && Arg_2<Arg_1 of depth 1:
new bound:
Arg_1+2 {O(n)}
MPRF:
n_eval_start_5___8 [Arg_1-Arg_2 ]
n_eval_start_bb2_in___10 [Arg_1-Arg_2 ]
n_eval_start_4___9 [Arg_1-Arg_2 ]
n_eval_start_bb3_in___7 [Arg_1-Arg_2 ]
n_eval_start_bb1_in___11 [Arg_1+1-Arg_2 ]
MPRF for transition 15:n_eval_start_bb2_in___10(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_4___9(Arg_0,Arg_1,Arg_2,Arg_3):|:1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_0<=Arg_2 && 2<=Arg_1 && 2+Arg_0<=Arg_1 && Arg_0<=0 && Arg_2<Arg_1 of depth 1:
new bound:
Arg_1+1 {O(n)}
MPRF:
n_eval_start_5___8 [Arg_1-Arg_2-1 ]
n_eval_start_bb2_in___10 [Arg_1-Arg_2 ]
n_eval_start_4___9 [Arg_1-Arg_2-1 ]
n_eval_start_bb3_in___7 [Arg_1-Arg_2-1 ]
n_eval_start_bb1_in___11 [Arg_1-Arg_2 ]
MPRF for transition 18:n_eval_start_bb3_in___7(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_bb1_in___11(Arg_0,Arg_1,Arg_2+1,Arg_3):|:1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_0<=Arg_2 && 2<=Arg_1 && 2+Arg_0<=Arg_1 && Arg_0<=0 && Arg_0<=0 && Arg_2<Arg_1 of depth 1:
new bound:
Arg_1+1 {O(n)}
MPRF:
n_eval_start_5___8 [Arg_1-Arg_2 ]
n_eval_start_bb2_in___10 [Arg_1-Arg_2 ]
n_eval_start_4___9 [Arg_1-Arg_2 ]
n_eval_start_bb3_in___7 [Arg_1-Arg_2 ]
n_eval_start_bb1_in___11 [Arg_1-Arg_2 ]
MPRF for transition 21:n_eval_start_bb4_in___5(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_bb5_in___6(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_1 && 1+Arg_2<=Arg_3 && 1+Arg_2<=Arg_1 && 1<=Arg_0 && Arg_3<Arg_1 of depth 1:
new bound:
3*Arg_1+2 {O(n)}
MPRF:
n_eval_start_bb5_in___6 [Arg_1-Arg_3 ]
n_eval_start_bb4_in___5 [Arg_1+1-Arg_3 ]
MPRF for transition 23:n_eval_start_bb5_in___6(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_start_bb4_in___5(Arg_0,Arg_1,Arg_2,Arg_3+1):|:1+Arg_3<=Arg_1 && Arg_2<=Arg_3 && 1+Arg_2<=Arg_1 && 1<=Arg_0 && Arg_3<Arg_1 of depth 1:
new bound:
3*Arg_1+2 {O(n)}
MPRF:
n_eval_start_bb5_in___6 [Arg_1-Arg_3 ]
n_eval_start_bb4_in___5 [Arg_1-Arg_3 ]
All Bounds
Timebounds
Overall timebound:11*Arg_1+30 {O(n)}
0: n_eval_start_0___22->n_eval_start_1___21: 1 {O(1)}
1: n_eval_start_1___21->n_eval_start_2___20: 1 {O(1)}
2: n_eval_start_2___20->n_eval_start_3___19: 1 {O(1)}
3: n_eval_start_3___19->n_eval_start_bb1_in___18: 1 {O(1)}
4: n_eval_start_4___15->n_eval_start_5___14: 1 {O(1)}
5: n_eval_start_4___9->n_eval_start_5___8: Arg_1+1 {O(n)}
6: n_eval_start_5___14->n_eval_start_bb3_in___13: 1 {O(1)}
7: n_eval_start_5___14->n_eval_start_bb4_in___12: 1 {O(1)}
8: n_eval_start_5___8->n_eval_start_bb3_in___7: Arg_1+1 {O(n)}
9: n_eval_start_5___8->n_eval_start_bb4_in___12: 1 {O(1)}
10: n_eval_start_bb0_in___23->n_eval_start_0___22: 1 {O(1)}
11: n_eval_start_bb1_in___11->n_eval_start_bb2_in___10: Arg_1+2 {O(n)}
12: n_eval_start_bb1_in___11->n_eval_start_bb4_in___16: 1 {O(1)}
13: n_eval_start_bb1_in___18->n_eval_start_bb2_in___17: 1 {O(1)}
14: n_eval_start_bb1_in___18->n_eval_start_bb4_in___16: 1 {O(1)}
15: n_eval_start_bb2_in___10->n_eval_start_4___9: Arg_1+1 {O(n)}
16: n_eval_start_bb2_in___17->n_eval_start_4___15: 1 {O(1)}
17: n_eval_start_bb3_in___13->n_eval_start_bb1_in___11: 1 {O(1)}
18: n_eval_start_bb3_in___7->n_eval_start_bb1_in___11: Arg_1+1 {O(n)}
19: n_eval_start_bb4_in___12->n_eval_start_bb5_in___6: 1 {O(1)}
20: n_eval_start_bb4_in___16->n_eval_start_bb6_in___2: 1 {O(1)}
21: n_eval_start_bb4_in___5->n_eval_start_bb5_in___6: 3*Arg_1+2 {O(n)}
22: n_eval_start_bb4_in___5->n_eval_start_bb6_in___4: 1 {O(1)}
23: n_eval_start_bb5_in___6->n_eval_start_bb4_in___5: 3*Arg_1+2 {O(n)}
24: n_eval_start_bb6_in___2->n_eval_start_stop___1: 1 {O(1)}
25: n_eval_start_bb6_in___4->n_eval_start_stop___3: 1 {O(1)}
26: n_eval_start_start->n_eval_start_bb0_in___23: 1 {O(1)}
Costbounds
Overall costbound: 11*Arg_1+30 {O(n)}
0: n_eval_start_0___22->n_eval_start_1___21: 1 {O(1)}
1: n_eval_start_1___21->n_eval_start_2___20: 1 {O(1)}
2: n_eval_start_2___20->n_eval_start_3___19: 1 {O(1)}
3: n_eval_start_3___19->n_eval_start_bb1_in___18: 1 {O(1)}
4: n_eval_start_4___15->n_eval_start_5___14: 1 {O(1)}
5: n_eval_start_4___9->n_eval_start_5___8: Arg_1+1 {O(n)}
6: n_eval_start_5___14->n_eval_start_bb3_in___13: 1 {O(1)}
7: n_eval_start_5___14->n_eval_start_bb4_in___12: 1 {O(1)}
8: n_eval_start_5___8->n_eval_start_bb3_in___7: Arg_1+1 {O(n)}
9: n_eval_start_5___8->n_eval_start_bb4_in___12: 1 {O(1)}
10: n_eval_start_bb0_in___23->n_eval_start_0___22: 1 {O(1)}
11: n_eval_start_bb1_in___11->n_eval_start_bb2_in___10: Arg_1+2 {O(n)}
12: n_eval_start_bb1_in___11->n_eval_start_bb4_in___16: 1 {O(1)}
13: n_eval_start_bb1_in___18->n_eval_start_bb2_in___17: 1 {O(1)}
14: n_eval_start_bb1_in___18->n_eval_start_bb4_in___16: 1 {O(1)}
15: n_eval_start_bb2_in___10->n_eval_start_4___9: Arg_1+1 {O(n)}
16: n_eval_start_bb2_in___17->n_eval_start_4___15: 1 {O(1)}
17: n_eval_start_bb3_in___13->n_eval_start_bb1_in___11: 1 {O(1)}
18: n_eval_start_bb3_in___7->n_eval_start_bb1_in___11: Arg_1+1 {O(n)}
19: n_eval_start_bb4_in___12->n_eval_start_bb5_in___6: 1 {O(1)}
20: n_eval_start_bb4_in___16->n_eval_start_bb6_in___2: 1 {O(1)}
21: n_eval_start_bb4_in___5->n_eval_start_bb5_in___6: 3*Arg_1+2 {O(n)}
22: n_eval_start_bb4_in___5->n_eval_start_bb6_in___4: 1 {O(1)}
23: n_eval_start_bb5_in___6->n_eval_start_bb4_in___5: 3*Arg_1+2 {O(n)}
24: n_eval_start_bb6_in___2->n_eval_start_stop___1: 1 {O(1)}
25: n_eval_start_bb6_in___4->n_eval_start_stop___3: 1 {O(1)}
26: n_eval_start_start->n_eval_start_bb0_in___23: 1 {O(1)}
Sizebounds
0: n_eval_start_0___22->n_eval_start_1___21, Arg_0: Arg_0 {O(n)}
0: n_eval_start_0___22->n_eval_start_1___21, Arg_1: Arg_1 {O(n)}
0: n_eval_start_0___22->n_eval_start_1___21, Arg_2: Arg_2 {O(n)}
0: n_eval_start_0___22->n_eval_start_1___21, Arg_3: Arg_3 {O(n)}
1: n_eval_start_1___21->n_eval_start_2___20, Arg_0: Arg_0 {O(n)}
1: n_eval_start_1___21->n_eval_start_2___20, Arg_1: Arg_1 {O(n)}
1: n_eval_start_1___21->n_eval_start_2___20, Arg_2: Arg_2 {O(n)}
1: n_eval_start_1___21->n_eval_start_2___20, Arg_3: Arg_3 {O(n)}
2: n_eval_start_2___20->n_eval_start_3___19, Arg_0: Arg_0 {O(n)}
2: n_eval_start_2___20->n_eval_start_3___19, Arg_1: Arg_1 {O(n)}
2: n_eval_start_2___20->n_eval_start_3___19, Arg_2: Arg_2 {O(n)}
2: n_eval_start_2___20->n_eval_start_3___19, Arg_3: Arg_3 {O(n)}
3: n_eval_start_3___19->n_eval_start_bb1_in___18, Arg_0: Arg_0 {O(n)}
3: n_eval_start_3___19->n_eval_start_bb1_in___18, Arg_1: Arg_1 {O(n)}
3: n_eval_start_3___19->n_eval_start_bb1_in___18, Arg_2: 0 {O(1)}
3: n_eval_start_3___19->n_eval_start_bb1_in___18, Arg_3: Arg_3 {O(n)}
4: n_eval_start_4___15->n_eval_start_5___14, Arg_1: Arg_1 {O(n)}
4: n_eval_start_4___15->n_eval_start_5___14, Arg_2: 0 {O(1)}
4: n_eval_start_4___15->n_eval_start_5___14, Arg_3: Arg_3 {O(n)}
5: n_eval_start_4___9->n_eval_start_5___8, Arg_1: Arg_1 {O(n)}
5: n_eval_start_4___9->n_eval_start_5___8, Arg_2: Arg_1+2 {O(n)}
5: n_eval_start_4___9->n_eval_start_5___8, Arg_3: Arg_3 {O(n)}
6: n_eval_start_5___14->n_eval_start_bb3_in___13, Arg_1: Arg_1 {O(n)}
6: n_eval_start_5___14->n_eval_start_bb3_in___13, Arg_2: 0 {O(1)}
6: n_eval_start_5___14->n_eval_start_bb3_in___13, Arg_3: Arg_3 {O(n)}
7: n_eval_start_5___14->n_eval_start_bb4_in___12, Arg_1: Arg_1 {O(n)}
7: n_eval_start_5___14->n_eval_start_bb4_in___12, Arg_2: 0 {O(1)}
7: n_eval_start_5___14->n_eval_start_bb4_in___12, Arg_3: 0 {O(1)}
8: n_eval_start_5___8->n_eval_start_bb3_in___7, Arg_1: Arg_1 {O(n)}
8: n_eval_start_5___8->n_eval_start_bb3_in___7, Arg_2: Arg_1+2 {O(n)}
8: n_eval_start_5___8->n_eval_start_bb3_in___7, Arg_3: Arg_3 {O(n)}
9: n_eval_start_5___8->n_eval_start_bb4_in___12, Arg_1: Arg_1 {O(n)}
9: n_eval_start_5___8->n_eval_start_bb4_in___12, Arg_2: Arg_1+2 {O(n)}
9: n_eval_start_5___8->n_eval_start_bb4_in___12, Arg_3: Arg_1+2 {O(n)}
10: n_eval_start_bb0_in___23->n_eval_start_0___22, Arg_0: Arg_0 {O(n)}
10: n_eval_start_bb0_in___23->n_eval_start_0___22, Arg_1: Arg_1 {O(n)}
10: n_eval_start_bb0_in___23->n_eval_start_0___22, Arg_2: Arg_2 {O(n)}
10: n_eval_start_bb0_in___23->n_eval_start_0___22, Arg_3: Arg_3 {O(n)}
11: n_eval_start_bb1_in___11->n_eval_start_bb2_in___10, Arg_1: Arg_1 {O(n)}
11: n_eval_start_bb1_in___11->n_eval_start_bb2_in___10, Arg_2: Arg_1+2 {O(n)}
11: n_eval_start_bb1_in___11->n_eval_start_bb2_in___10, Arg_3: Arg_3 {O(n)}
12: n_eval_start_bb1_in___11->n_eval_start_bb4_in___16, Arg_1: 2*Arg_1 {O(n)}
12: n_eval_start_bb1_in___11->n_eval_start_bb4_in___16, Arg_2: Arg_1+3 {O(n)}
12: n_eval_start_bb1_in___11->n_eval_start_bb4_in___16, Arg_3: Arg_1+3 {O(n)}
13: n_eval_start_bb1_in___18->n_eval_start_bb2_in___17, Arg_0: Arg_0 {O(n)}
13: n_eval_start_bb1_in___18->n_eval_start_bb2_in___17, Arg_1: Arg_1 {O(n)}
13: n_eval_start_bb1_in___18->n_eval_start_bb2_in___17, Arg_2: 0 {O(1)}
13: n_eval_start_bb1_in___18->n_eval_start_bb2_in___17, Arg_3: Arg_3 {O(n)}
14: n_eval_start_bb1_in___18->n_eval_start_bb4_in___16, Arg_0: Arg_0 {O(n)}
14: n_eval_start_bb1_in___18->n_eval_start_bb4_in___16, Arg_1: Arg_1 {O(n)}
14: n_eval_start_bb1_in___18->n_eval_start_bb4_in___16, Arg_2: 0 {O(1)}
14: n_eval_start_bb1_in___18->n_eval_start_bb4_in___16, Arg_3: 0 {O(1)}
15: n_eval_start_bb2_in___10->n_eval_start_4___9, Arg_1: Arg_1 {O(n)}
15: n_eval_start_bb2_in___10->n_eval_start_4___9, Arg_2: Arg_1+2 {O(n)}
15: n_eval_start_bb2_in___10->n_eval_start_4___9, Arg_3: Arg_3 {O(n)}
16: n_eval_start_bb2_in___17->n_eval_start_4___15, Arg_0: Arg_0 {O(n)}
16: n_eval_start_bb2_in___17->n_eval_start_4___15, Arg_1: Arg_1 {O(n)}
16: n_eval_start_bb2_in___17->n_eval_start_4___15, Arg_2: 0 {O(1)}
16: n_eval_start_bb2_in___17->n_eval_start_4___15, Arg_3: Arg_3 {O(n)}
17: n_eval_start_bb3_in___13->n_eval_start_bb1_in___11, Arg_1: Arg_1 {O(n)}
17: n_eval_start_bb3_in___13->n_eval_start_bb1_in___11, Arg_2: 1 {O(1)}
17: n_eval_start_bb3_in___13->n_eval_start_bb1_in___11, Arg_3: Arg_3 {O(n)}
18: n_eval_start_bb3_in___7->n_eval_start_bb1_in___11, Arg_1: Arg_1 {O(n)}
18: n_eval_start_bb3_in___7->n_eval_start_bb1_in___11, Arg_2: Arg_1+2 {O(n)}
18: n_eval_start_bb3_in___7->n_eval_start_bb1_in___11, Arg_3: Arg_3 {O(n)}
19: n_eval_start_bb4_in___12->n_eval_start_bb5_in___6, Arg_1: 2*Arg_1 {O(n)}
19: n_eval_start_bb4_in___12->n_eval_start_bb5_in___6, Arg_2: Arg_1+2 {O(n)}
19: n_eval_start_bb4_in___12->n_eval_start_bb5_in___6, Arg_3: Arg_1+2 {O(n)}
20: n_eval_start_bb4_in___16->n_eval_start_bb6_in___2, Arg_1: 3*Arg_1 {O(n)}
20: n_eval_start_bb4_in___16->n_eval_start_bb6_in___2, Arg_2: Arg_1+3 {O(n)}
20: n_eval_start_bb4_in___16->n_eval_start_bb6_in___2, Arg_3: Arg_1+3 {O(n)}
21: n_eval_start_bb4_in___5->n_eval_start_bb5_in___6, Arg_1: 2*Arg_1 {O(n)}
21: n_eval_start_bb4_in___5->n_eval_start_bb5_in___6, Arg_2: Arg_1+2 {O(n)}
21: n_eval_start_bb4_in___5->n_eval_start_bb5_in___6, Arg_3: 4*Arg_1+4 {O(n)}
22: n_eval_start_bb4_in___5->n_eval_start_bb6_in___4, Arg_1: 2*Arg_1 {O(n)}
22: n_eval_start_bb4_in___5->n_eval_start_bb6_in___4, Arg_2: Arg_1+2 {O(n)}
22: n_eval_start_bb4_in___5->n_eval_start_bb6_in___4, Arg_3: 4*Arg_1+4 {O(n)}
23: n_eval_start_bb5_in___6->n_eval_start_bb4_in___5, Arg_1: 2*Arg_1 {O(n)}
23: n_eval_start_bb5_in___6->n_eval_start_bb4_in___5, Arg_2: Arg_1+2 {O(n)}
23: n_eval_start_bb5_in___6->n_eval_start_bb4_in___5, Arg_3: 4*Arg_1+4 {O(n)}
24: n_eval_start_bb6_in___2->n_eval_start_stop___1, Arg_1: 3*Arg_1 {O(n)}
24: n_eval_start_bb6_in___2->n_eval_start_stop___1, Arg_2: Arg_1+3 {O(n)}
24: n_eval_start_bb6_in___2->n_eval_start_stop___1, Arg_3: Arg_1+3 {O(n)}
25: n_eval_start_bb6_in___4->n_eval_start_stop___3, Arg_1: 2*Arg_1 {O(n)}
25: n_eval_start_bb6_in___4->n_eval_start_stop___3, Arg_2: Arg_1+2 {O(n)}
25: n_eval_start_bb6_in___4->n_eval_start_stop___3, Arg_3: 4*Arg_1+4 {O(n)}
26: n_eval_start_start->n_eval_start_bb0_in___23, Arg_0: Arg_0 {O(n)}
26: n_eval_start_start->n_eval_start_bb0_in___23, Arg_1: Arg_1 {O(n)}
26: n_eval_start_start->n_eval_start_bb0_in___23, Arg_2: Arg_2 {O(n)}
26: n_eval_start_start->n_eval_start_bb0_in___23, Arg_3: Arg_3 {O(n)}