Initial Problem
Start: n_eval_start_start
Program_Vars: Arg_0, Arg_1, Arg_2
Temp_Vars:
Locations: n_eval_start_0___20, n_eval_start_1___19, n_eval_start_2___18, n_eval_start_3___17, n_eval_start_4___16, n_eval_start_5___15, n_eval_start_6___14, n_eval_start_bb0_in___21, n_eval_start_bb1_in___10, n_eval_start_bb1_in___13, n_eval_start_bb1_in___6, n_eval_start_bb2_in___12, n_eval_start_bb2_in___9, n_eval_start_bb3_in___11, n_eval_start_bb3_in___5, n_eval_start_bb3_in___8, n_eval_start_bb4_in___7, n_eval_start_bb5_in___2, n_eval_start_bb5_in___4, n_eval_start_start, n_eval_start_stop___1, n_eval_start_stop___3
Transitions:
0:n_eval_start_0___20(Arg_0,Arg_1,Arg_2) -> n_eval_start_1___19(Arg_0,Arg_1,Arg_2)
1:n_eval_start_1___19(Arg_0,Arg_1,Arg_2) -> n_eval_start_2___18(Arg_0,Arg_1,Arg_2)
2:n_eval_start_2___18(Arg_0,Arg_1,Arg_2) -> n_eval_start_3___17(Arg_0,Arg_1,Arg_2)
3:n_eval_start_3___17(Arg_0,Arg_1,Arg_2) -> n_eval_start_4___16(Arg_0,Arg_1,Arg_2)
4:n_eval_start_4___16(Arg_0,Arg_1,Arg_2) -> n_eval_start_5___15(Arg_0,Arg_1,Arg_2)
5:n_eval_start_5___15(Arg_0,Arg_1,Arg_2) -> n_eval_start_6___14(Arg_0,Arg_1,Arg_2)
6:n_eval_start_6___14(Arg_0,Arg_1,Arg_2) -> n_eval_start_bb1_in___13(Arg_0,0,0)
7:n_eval_start_bb0_in___21(Arg_0,Arg_1,Arg_2) -> n_eval_start_0___20(Arg_0,Arg_1,Arg_2)
8:n_eval_start_bb1_in___10(Arg_0,Arg_1,Arg_2) -> n_eval_start_bb2_in___9(Arg_0,Arg_1,Arg_2):|:0<Arg_2 && Arg_1<Arg_0
9:n_eval_start_bb1_in___10(Arg_0,Arg_1,Arg_2) -> n_eval_start_bb3_in___8(Arg_0,Arg_1,Arg_2):|:0<Arg_2 && Arg_0<=Arg_1
10:n_eval_start_bb1_in___13(Arg_0,Arg_1,Arg_2) -> n_eval_start_bb2_in___12(Arg_0,Arg_1,Arg_2):|:Arg_1<=0 && 0<=Arg_1 && Arg_2<=0 && 0<=Arg_2 && Arg_1<Arg_0
11:n_eval_start_bb1_in___13(Arg_0,Arg_1,Arg_2) -> n_eval_start_bb3_in___11(Arg_0,Arg_1,Arg_2):|:Arg_1<=0 && 0<=Arg_1 && Arg_2<=0 && 0<=Arg_2 && Arg_0<=Arg_1
12:n_eval_start_bb1_in___6(Arg_0,Arg_1,Arg_2) -> n_eval_start_bb3_in___5(Arg_0,Arg_1,Arg_2):|:Arg_0<=Arg_1 && Arg_0<=Arg_1 && Arg_0<=Arg_1
13:n_eval_start_bb2_in___12(Arg_0,Arg_1,Arg_2) -> n_eval_start_bb1_in___10(Arg_0,Arg_1+1,Arg_2+1):|:0<Arg_0 && Arg_2<=0 && 0<=Arg_2 && Arg_1<=0 && 0<=Arg_1
14:n_eval_start_bb2_in___9(Arg_0,Arg_1,Arg_2) -> n_eval_start_bb1_in___10(Arg_0,Arg_1+1,Arg_2+1):|:0<Arg_2 && Arg_1<Arg_0
15:n_eval_start_bb3_in___11(Arg_0,Arg_1,Arg_2) -> n_eval_start_bb5_in___2(Arg_0,Arg_1,Arg_2):|:Arg_0<=0 && Arg_1<=0 && 0<=Arg_1 && Arg_2<=0 && 0<=Arg_2 && Arg_2<=0
16:n_eval_start_bb3_in___5(Arg_0,Arg_1,Arg_2) -> n_eval_start_bb4_in___7(Arg_0,Arg_1,Arg_2):|:Arg_0<=Arg_1 && 0<Arg_2
17:n_eval_start_bb3_in___5(Arg_0,Arg_1,Arg_2) -> n_eval_start_bb5_in___4(Arg_0,Arg_1,Arg_2):|:Arg_0<=Arg_1 && Arg_2<=0
18:n_eval_start_bb3_in___8(Arg_0,Arg_1,Arg_2) -> n_eval_start_bb4_in___7(Arg_0,Arg_1,Arg_2):|:Arg_0<=Arg_1 && 0<Arg_2 && 0<Arg_2
19:n_eval_start_bb4_in___7(Arg_0,Arg_1,Arg_2) -> n_eval_start_bb1_in___6(Arg_0,Arg_1,Arg_2-1):|:Arg_0<=Arg_1 && 0<Arg_2
20:n_eval_start_bb5_in___2(Arg_0,Arg_1,Arg_2) -> n_eval_start_stop___1(Arg_0,Arg_1,Arg_2):|:Arg_0<=0 && Arg_1<=0 && 0<=Arg_1 && Arg_2<=0 && 0<=Arg_2
21:n_eval_start_bb5_in___4(Arg_0,Arg_1,Arg_2) -> n_eval_start_stop___3(Arg_0,Arg_1,Arg_2):|:Arg_0<=Arg_1 && Arg_2<=0
22:n_eval_start_start(Arg_0,Arg_1,Arg_2) -> n_eval_start_bb0_in___21(Arg_0,Arg_1,Arg_2)
Preprocessing
Found invariant Arg_2<=0 && Arg_2<=Arg_1 && Arg_1+Arg_2<=0 && Arg_0+Arg_2<=0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && Arg_1<=Arg_2 && Arg_0<=Arg_2 && Arg_1<=0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 for location n_eval_start_bb3_in___11
Found invariant Arg_2<=Arg_1 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 for location n_eval_start_bb4_in___7
Found invariant Arg_2<=0 && Arg_2<=Arg_1 && Arg_1+Arg_2<=0 && Arg_0+Arg_2<=0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && Arg_1<=Arg_2 && Arg_0<=Arg_2 && Arg_1<=0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 for location n_eval_start_bb5_in___2
Found invariant Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 for location n_eval_start_bb2_in___9
Found invariant 1+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 for location n_eval_start_bb1_in___6
Found invariant Arg_2<=0 && Arg_2<=Arg_1 && Arg_1+Arg_2<=0 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && Arg_1<=0 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 for location n_eval_start_bb2_in___12
Found invariant 1+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 for location n_eval_start_bb3_in___5
Found invariant Arg_2<=Arg_1 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 for location n_eval_start_bb3_in___8
Found invariant Arg_2<=0 && Arg_2<=Arg_1 && Arg_1+Arg_2<=0 && Arg_0+Arg_2<=0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && Arg_1<=Arg_2 && Arg_0<=Arg_2 && Arg_1<=0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 for location n_eval_start_stop___1
Found invariant Arg_2<=Arg_1 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location n_eval_start_bb1_in___10
Found invariant Arg_2<=0 && Arg_2<=Arg_1 && Arg_1+Arg_2<=0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && Arg_1<=Arg_2 && Arg_1<=0 && 0<=Arg_1 for location n_eval_start_bb1_in___13
Found invariant Arg_2<=0 && 1+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 for location n_eval_start_bb5_in___4
Found invariant Arg_2<=0 && 1+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 for location n_eval_start_stop___3
Problem after Preprocessing
Start: n_eval_start_start
Program_Vars: Arg_0, Arg_1, Arg_2
Temp_Vars:
Locations: n_eval_start_0___20, n_eval_start_1___19, n_eval_start_2___18, n_eval_start_3___17, n_eval_start_4___16, n_eval_start_5___15, n_eval_start_6___14, n_eval_start_bb0_in___21, n_eval_start_bb1_in___10, n_eval_start_bb1_in___13, n_eval_start_bb1_in___6, n_eval_start_bb2_in___12, n_eval_start_bb2_in___9, n_eval_start_bb3_in___11, n_eval_start_bb3_in___5, n_eval_start_bb3_in___8, n_eval_start_bb4_in___7, n_eval_start_bb5_in___2, n_eval_start_bb5_in___4, n_eval_start_start, n_eval_start_stop___1, n_eval_start_stop___3
Transitions:
0:n_eval_start_0___20(Arg_0,Arg_1,Arg_2) -> n_eval_start_1___19(Arg_0,Arg_1,Arg_2)
1:n_eval_start_1___19(Arg_0,Arg_1,Arg_2) -> n_eval_start_2___18(Arg_0,Arg_1,Arg_2)
2:n_eval_start_2___18(Arg_0,Arg_1,Arg_2) -> n_eval_start_3___17(Arg_0,Arg_1,Arg_2)
3:n_eval_start_3___17(Arg_0,Arg_1,Arg_2) -> n_eval_start_4___16(Arg_0,Arg_1,Arg_2)
4:n_eval_start_4___16(Arg_0,Arg_1,Arg_2) -> n_eval_start_5___15(Arg_0,Arg_1,Arg_2)
5:n_eval_start_5___15(Arg_0,Arg_1,Arg_2) -> n_eval_start_6___14(Arg_0,Arg_1,Arg_2)
6:n_eval_start_6___14(Arg_0,Arg_1,Arg_2) -> n_eval_start_bb1_in___13(Arg_0,0,0)
7:n_eval_start_bb0_in___21(Arg_0,Arg_1,Arg_2) -> n_eval_start_0___20(Arg_0,Arg_1,Arg_2)
8:n_eval_start_bb1_in___10(Arg_0,Arg_1,Arg_2) -> n_eval_start_bb2_in___9(Arg_0,Arg_1,Arg_2):|:Arg_2<=Arg_1 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && 0<Arg_2 && Arg_1<Arg_0
9:n_eval_start_bb1_in___10(Arg_0,Arg_1,Arg_2) -> n_eval_start_bb3_in___8(Arg_0,Arg_1,Arg_2):|:Arg_2<=Arg_1 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && 0<Arg_2 && Arg_0<=Arg_1
10:n_eval_start_bb1_in___13(Arg_0,Arg_1,Arg_2) -> n_eval_start_bb2_in___12(Arg_0,Arg_1,Arg_2):|:Arg_2<=0 && Arg_2<=Arg_1 && Arg_1+Arg_2<=0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && Arg_1<=Arg_2 && Arg_1<=0 && 0<=Arg_1 && Arg_1<=0 && 0<=Arg_1 && Arg_2<=0 && 0<=Arg_2 && Arg_1<Arg_0
11:n_eval_start_bb1_in___13(Arg_0,Arg_1,Arg_2) -> n_eval_start_bb3_in___11(Arg_0,Arg_1,Arg_2):|:Arg_2<=0 && Arg_2<=Arg_1 && Arg_1+Arg_2<=0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && Arg_1<=Arg_2 && Arg_1<=0 && 0<=Arg_1 && Arg_1<=0 && 0<=Arg_1 && Arg_2<=0 && 0<=Arg_2 && Arg_0<=Arg_1
12:n_eval_start_bb1_in___6(Arg_0,Arg_1,Arg_2) -> n_eval_start_bb3_in___5(Arg_0,Arg_1,Arg_2):|:1+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && Arg_0<=Arg_1 && Arg_0<=Arg_1 && Arg_0<=Arg_1
13:n_eval_start_bb2_in___12(Arg_0,Arg_1,Arg_2) -> n_eval_start_bb1_in___10(Arg_0,Arg_1+1,Arg_2+1):|:Arg_2<=0 && Arg_2<=Arg_1 && Arg_1+Arg_2<=0 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && Arg_1<=0 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 && 0<Arg_0 && Arg_2<=0 && 0<=Arg_2 && Arg_1<=0 && 0<=Arg_1
14:n_eval_start_bb2_in___9(Arg_0,Arg_1,Arg_2) -> n_eval_start_bb1_in___10(Arg_0,Arg_1+1,Arg_2+1):|:Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && 0<Arg_2 && Arg_1<Arg_0
15:n_eval_start_bb3_in___11(Arg_0,Arg_1,Arg_2) -> n_eval_start_bb5_in___2(Arg_0,Arg_1,Arg_2):|:Arg_2<=0 && Arg_2<=Arg_1 && Arg_1+Arg_2<=0 && Arg_0+Arg_2<=0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && Arg_1<=Arg_2 && Arg_0<=Arg_2 && Arg_1<=0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && Arg_0<=0 && Arg_1<=0 && 0<=Arg_1 && Arg_2<=0 && 0<=Arg_2 && Arg_2<=0
16:n_eval_start_bb3_in___5(Arg_0,Arg_1,Arg_2) -> n_eval_start_bb4_in___7(Arg_0,Arg_1,Arg_2):|:1+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && Arg_0<=Arg_1 && 0<Arg_2
17:n_eval_start_bb3_in___5(Arg_0,Arg_1,Arg_2) -> n_eval_start_bb5_in___4(Arg_0,Arg_1,Arg_2):|:1+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && Arg_0<=Arg_1 && Arg_2<=0
18:n_eval_start_bb3_in___8(Arg_0,Arg_1,Arg_2) -> n_eval_start_bb4_in___7(Arg_0,Arg_1,Arg_2):|:Arg_2<=Arg_1 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && Arg_0<=Arg_1 && 0<Arg_2 && 0<Arg_2
19:n_eval_start_bb4_in___7(Arg_0,Arg_1,Arg_2) -> n_eval_start_bb1_in___6(Arg_0,Arg_1,Arg_2-1):|:Arg_2<=Arg_1 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && Arg_0<=Arg_1 && 0<Arg_2
20:n_eval_start_bb5_in___2(Arg_0,Arg_1,Arg_2) -> n_eval_start_stop___1(Arg_0,Arg_1,Arg_2):|:Arg_2<=0 && Arg_2<=Arg_1 && Arg_1+Arg_2<=0 && Arg_0+Arg_2<=0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && Arg_1<=Arg_2 && Arg_0<=Arg_2 && Arg_1<=0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && Arg_0<=0 && Arg_1<=0 && 0<=Arg_1 && Arg_2<=0 && 0<=Arg_2
21:n_eval_start_bb5_in___4(Arg_0,Arg_1,Arg_2) -> n_eval_start_stop___3(Arg_0,Arg_1,Arg_2):|:Arg_2<=0 && 1+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && Arg_0<=Arg_1 && Arg_2<=0
22:n_eval_start_start(Arg_0,Arg_1,Arg_2) -> n_eval_start_bb0_in___21(Arg_0,Arg_1,Arg_2)
MPRF for transition 8:n_eval_start_bb1_in___10(Arg_0,Arg_1,Arg_2) -> n_eval_start_bb2_in___9(Arg_0,Arg_1,Arg_2):|:Arg_2<=Arg_1 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && 0<Arg_2 && Arg_1<Arg_0 of depth 1:
new bound:
Arg_0+2 {O(n)}
MPRF:
n_eval_start_bb2_in___9 [Arg_0-Arg_1 ]
n_eval_start_bb1_in___10 [Arg_0+1-Arg_2 ]
MPRF for transition 14:n_eval_start_bb2_in___9(Arg_0,Arg_1,Arg_2) -> n_eval_start_bb1_in___10(Arg_0,Arg_1+1,Arg_2+1):|:Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && 0<Arg_2 && Arg_1<Arg_0 of depth 1:
new bound:
Arg_0+1 {O(n)}
MPRF:
n_eval_start_bb2_in___9 [Arg_0-Arg_1 ]
n_eval_start_bb1_in___10 [Arg_0-Arg_2 ]
MPRF for transition 12:n_eval_start_bb1_in___6(Arg_0,Arg_1,Arg_2) -> n_eval_start_bb3_in___5(Arg_0,Arg_1,Arg_2):|:1+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && Arg_0<=Arg_1 && Arg_0<=Arg_1 && Arg_0<=Arg_1 of depth 1:
new bound:
Arg_0+3 {O(n)}
MPRF:
n_eval_start_bb3_in___5 [Arg_2 ]
n_eval_start_bb4_in___7 [Arg_2 ]
n_eval_start_bb1_in___6 [Arg_2+1 ]
MPRF for transition 16:n_eval_start_bb3_in___5(Arg_0,Arg_1,Arg_2) -> n_eval_start_bb4_in___7(Arg_0,Arg_1,Arg_2):|:1+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && Arg_0<=Arg_1 && 0<Arg_2 of depth 1:
new bound:
Arg_0+4 {O(n)}
MPRF:
n_eval_start_bb3_in___5 [Arg_2 ]
n_eval_start_bb4_in___7 [Arg_2-1 ]
n_eval_start_bb1_in___6 [Arg_2 ]
MPRF for transition 19:n_eval_start_bb4_in___7(Arg_0,Arg_1,Arg_2) -> n_eval_start_bb1_in___6(Arg_0,Arg_1,Arg_2-1):|:Arg_2<=Arg_1 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && Arg_0<=Arg_1 && 0<Arg_2 of depth 1:
new bound:
Arg_0+3 {O(n)}
MPRF:
n_eval_start_bb3_in___5 [Arg_2 ]
n_eval_start_bb4_in___7 [Arg_2 ]
n_eval_start_bb1_in___6 [Arg_2 ]
All Bounds
Timebounds
Overall timebound:5*Arg_0+31 {O(n)}
0: n_eval_start_0___20->n_eval_start_1___19: 1 {O(1)}
1: n_eval_start_1___19->n_eval_start_2___18: 1 {O(1)}
2: n_eval_start_2___18->n_eval_start_3___17: 1 {O(1)}
3: n_eval_start_3___17->n_eval_start_4___16: 1 {O(1)}
4: n_eval_start_4___16->n_eval_start_5___15: 1 {O(1)}
5: n_eval_start_5___15->n_eval_start_6___14: 1 {O(1)}
6: n_eval_start_6___14->n_eval_start_bb1_in___13: 1 {O(1)}
7: n_eval_start_bb0_in___21->n_eval_start_0___20: 1 {O(1)}
8: n_eval_start_bb1_in___10->n_eval_start_bb2_in___9: Arg_0+2 {O(n)}
9: n_eval_start_bb1_in___10->n_eval_start_bb3_in___8: 1 {O(1)}
10: n_eval_start_bb1_in___13->n_eval_start_bb2_in___12: 1 {O(1)}
11: n_eval_start_bb1_in___13->n_eval_start_bb3_in___11: 1 {O(1)}
12: n_eval_start_bb1_in___6->n_eval_start_bb3_in___5: Arg_0+3 {O(n)}
13: n_eval_start_bb2_in___12->n_eval_start_bb1_in___10: 1 {O(1)}
14: n_eval_start_bb2_in___9->n_eval_start_bb1_in___10: Arg_0+1 {O(n)}
15: n_eval_start_bb3_in___11->n_eval_start_bb5_in___2: 1 {O(1)}
16: n_eval_start_bb3_in___5->n_eval_start_bb4_in___7: Arg_0+4 {O(n)}
17: n_eval_start_bb3_in___5->n_eval_start_bb5_in___4: 1 {O(1)}
18: n_eval_start_bb3_in___8->n_eval_start_bb4_in___7: 1 {O(1)}
19: n_eval_start_bb4_in___7->n_eval_start_bb1_in___6: Arg_0+3 {O(n)}
20: n_eval_start_bb5_in___2->n_eval_start_stop___1: 1 {O(1)}
21: n_eval_start_bb5_in___4->n_eval_start_stop___3: 1 {O(1)}
22: n_eval_start_start->n_eval_start_bb0_in___21: 1 {O(1)}
Costbounds
Overall costbound: 5*Arg_0+31 {O(n)}
0: n_eval_start_0___20->n_eval_start_1___19: 1 {O(1)}
1: n_eval_start_1___19->n_eval_start_2___18: 1 {O(1)}
2: n_eval_start_2___18->n_eval_start_3___17: 1 {O(1)}
3: n_eval_start_3___17->n_eval_start_4___16: 1 {O(1)}
4: n_eval_start_4___16->n_eval_start_5___15: 1 {O(1)}
5: n_eval_start_5___15->n_eval_start_6___14: 1 {O(1)}
6: n_eval_start_6___14->n_eval_start_bb1_in___13: 1 {O(1)}
7: n_eval_start_bb0_in___21->n_eval_start_0___20: 1 {O(1)}
8: n_eval_start_bb1_in___10->n_eval_start_bb2_in___9: Arg_0+2 {O(n)}
9: n_eval_start_bb1_in___10->n_eval_start_bb3_in___8: 1 {O(1)}
10: n_eval_start_bb1_in___13->n_eval_start_bb2_in___12: 1 {O(1)}
11: n_eval_start_bb1_in___13->n_eval_start_bb3_in___11: 1 {O(1)}
12: n_eval_start_bb1_in___6->n_eval_start_bb3_in___5: Arg_0+3 {O(n)}
13: n_eval_start_bb2_in___12->n_eval_start_bb1_in___10: 1 {O(1)}
14: n_eval_start_bb2_in___9->n_eval_start_bb1_in___10: Arg_0+1 {O(n)}
15: n_eval_start_bb3_in___11->n_eval_start_bb5_in___2: 1 {O(1)}
16: n_eval_start_bb3_in___5->n_eval_start_bb4_in___7: Arg_0+4 {O(n)}
17: n_eval_start_bb3_in___5->n_eval_start_bb5_in___4: 1 {O(1)}
18: n_eval_start_bb3_in___8->n_eval_start_bb4_in___7: 1 {O(1)}
19: n_eval_start_bb4_in___7->n_eval_start_bb1_in___6: Arg_0+3 {O(n)}
20: n_eval_start_bb5_in___2->n_eval_start_stop___1: 1 {O(1)}
21: n_eval_start_bb5_in___4->n_eval_start_stop___3: 1 {O(1)}
22: n_eval_start_start->n_eval_start_bb0_in___21: 1 {O(1)}
Sizebounds
0: n_eval_start_0___20->n_eval_start_1___19, Arg_0: Arg_0 {O(n)}
0: n_eval_start_0___20->n_eval_start_1___19, Arg_1: Arg_1 {O(n)}
0: n_eval_start_0___20->n_eval_start_1___19, Arg_2: Arg_2 {O(n)}
1: n_eval_start_1___19->n_eval_start_2___18, Arg_0: Arg_0 {O(n)}
1: n_eval_start_1___19->n_eval_start_2___18, Arg_1: Arg_1 {O(n)}
1: n_eval_start_1___19->n_eval_start_2___18, Arg_2: Arg_2 {O(n)}
2: n_eval_start_2___18->n_eval_start_3___17, Arg_0: Arg_0 {O(n)}
2: n_eval_start_2___18->n_eval_start_3___17, Arg_1: Arg_1 {O(n)}
2: n_eval_start_2___18->n_eval_start_3___17, Arg_2: Arg_2 {O(n)}
3: n_eval_start_3___17->n_eval_start_4___16, Arg_0: Arg_0 {O(n)}
3: n_eval_start_3___17->n_eval_start_4___16, Arg_1: Arg_1 {O(n)}
3: n_eval_start_3___17->n_eval_start_4___16, Arg_2: Arg_2 {O(n)}
4: n_eval_start_4___16->n_eval_start_5___15, Arg_0: Arg_0 {O(n)}
4: n_eval_start_4___16->n_eval_start_5___15, Arg_1: Arg_1 {O(n)}
4: n_eval_start_4___16->n_eval_start_5___15, Arg_2: Arg_2 {O(n)}
5: n_eval_start_5___15->n_eval_start_6___14, Arg_0: Arg_0 {O(n)}
5: n_eval_start_5___15->n_eval_start_6___14, Arg_1: Arg_1 {O(n)}
5: n_eval_start_5___15->n_eval_start_6___14, Arg_2: Arg_2 {O(n)}
6: n_eval_start_6___14->n_eval_start_bb1_in___13, Arg_0: Arg_0 {O(n)}
6: n_eval_start_6___14->n_eval_start_bb1_in___13, Arg_1: 0 {O(1)}
6: n_eval_start_6___14->n_eval_start_bb1_in___13, Arg_2: 0 {O(1)}
7: n_eval_start_bb0_in___21->n_eval_start_0___20, Arg_0: Arg_0 {O(n)}
7: n_eval_start_bb0_in___21->n_eval_start_0___20, Arg_1: Arg_1 {O(n)}
7: n_eval_start_bb0_in___21->n_eval_start_0___20, Arg_2: Arg_2 {O(n)}
8: n_eval_start_bb1_in___10->n_eval_start_bb2_in___9, Arg_0: Arg_0 {O(n)}
8: n_eval_start_bb1_in___10->n_eval_start_bb2_in___9, Arg_1: Arg_0+2 {O(n)}
8: n_eval_start_bb1_in___10->n_eval_start_bb2_in___9, Arg_2: Arg_0+2 {O(n)}
9: n_eval_start_bb1_in___10->n_eval_start_bb3_in___8, Arg_0: 2*Arg_0 {O(n)}
9: n_eval_start_bb1_in___10->n_eval_start_bb3_in___8, Arg_1: Arg_0+3 {O(n)}
9: n_eval_start_bb1_in___10->n_eval_start_bb3_in___8, Arg_2: Arg_0+3 {O(n)}
10: n_eval_start_bb1_in___13->n_eval_start_bb2_in___12, Arg_0: Arg_0 {O(n)}
10: n_eval_start_bb1_in___13->n_eval_start_bb2_in___12, Arg_1: 0 {O(1)}
10: n_eval_start_bb1_in___13->n_eval_start_bb2_in___12, Arg_2: 0 {O(1)}
11: n_eval_start_bb1_in___13->n_eval_start_bb3_in___11, Arg_0: Arg_0 {O(n)}
11: n_eval_start_bb1_in___13->n_eval_start_bb3_in___11, Arg_1: 0 {O(1)}
11: n_eval_start_bb1_in___13->n_eval_start_bb3_in___11, Arg_2: 0 {O(1)}
12: n_eval_start_bb1_in___6->n_eval_start_bb3_in___5, Arg_0: 2*Arg_0 {O(n)}
12: n_eval_start_bb1_in___6->n_eval_start_bb3_in___5, Arg_1: Arg_0+3 {O(n)}
12: n_eval_start_bb1_in___6->n_eval_start_bb3_in___5, Arg_2: Arg_0+3 {O(n)}
13: n_eval_start_bb2_in___12->n_eval_start_bb1_in___10, Arg_0: Arg_0 {O(n)}
13: n_eval_start_bb2_in___12->n_eval_start_bb1_in___10, Arg_1: 1 {O(1)}
13: n_eval_start_bb2_in___12->n_eval_start_bb1_in___10, Arg_2: 1 {O(1)}
14: n_eval_start_bb2_in___9->n_eval_start_bb1_in___10, Arg_0: Arg_0 {O(n)}
14: n_eval_start_bb2_in___9->n_eval_start_bb1_in___10, Arg_1: Arg_0+2 {O(n)}
14: n_eval_start_bb2_in___9->n_eval_start_bb1_in___10, Arg_2: Arg_0+2 {O(n)}
15: n_eval_start_bb3_in___11->n_eval_start_bb5_in___2, Arg_0: Arg_0 {O(n)}
15: n_eval_start_bb3_in___11->n_eval_start_bb5_in___2, Arg_1: 0 {O(1)}
15: n_eval_start_bb3_in___11->n_eval_start_bb5_in___2, Arg_2: 0 {O(1)}
16: n_eval_start_bb3_in___5->n_eval_start_bb4_in___7, Arg_0: 2*Arg_0 {O(n)}
16: n_eval_start_bb3_in___5->n_eval_start_bb4_in___7, Arg_1: Arg_0+3 {O(n)}
16: n_eval_start_bb3_in___5->n_eval_start_bb4_in___7, Arg_2: Arg_0+3 {O(n)}
17: n_eval_start_bb3_in___5->n_eval_start_bb5_in___4, Arg_0: 2*Arg_0 {O(n)}
17: n_eval_start_bb3_in___5->n_eval_start_bb5_in___4, Arg_1: Arg_0+3 {O(n)}
17: n_eval_start_bb3_in___5->n_eval_start_bb5_in___4, Arg_2: 0 {O(1)}
18: n_eval_start_bb3_in___8->n_eval_start_bb4_in___7, Arg_0: 2*Arg_0 {O(n)}
18: n_eval_start_bb3_in___8->n_eval_start_bb4_in___7, Arg_1: Arg_0+3 {O(n)}
18: n_eval_start_bb3_in___8->n_eval_start_bb4_in___7, Arg_2: Arg_0+3 {O(n)}
19: n_eval_start_bb4_in___7->n_eval_start_bb1_in___6, Arg_0: 2*Arg_0 {O(n)}
19: n_eval_start_bb4_in___7->n_eval_start_bb1_in___6, Arg_1: Arg_0+3 {O(n)}
19: n_eval_start_bb4_in___7->n_eval_start_bb1_in___6, Arg_2: Arg_0+3 {O(n)}
20: n_eval_start_bb5_in___2->n_eval_start_stop___1, Arg_0: Arg_0 {O(n)}
20: n_eval_start_bb5_in___2->n_eval_start_stop___1, Arg_1: 0 {O(1)}
20: n_eval_start_bb5_in___2->n_eval_start_stop___1, Arg_2: 0 {O(1)}
21: n_eval_start_bb5_in___4->n_eval_start_stop___3, Arg_0: 2*Arg_0 {O(n)}
21: n_eval_start_bb5_in___4->n_eval_start_stop___3, Arg_1: Arg_0+3 {O(n)}
21: n_eval_start_bb5_in___4->n_eval_start_stop___3, Arg_2: 0 {O(1)}
22: n_eval_start_start->n_eval_start_bb0_in___21, Arg_0: Arg_0 {O(n)}
22: n_eval_start_start->n_eval_start_bb0_in___21, Arg_1: Arg_1 {O(n)}
22: n_eval_start_start->n_eval_start_bb0_in___21, Arg_2: Arg_2 {O(n)}