Initial Problem
Start: n_eval_ex2_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars:
Locations: n_eval_ex2_0___22, n_eval_ex2_10___5, n_eval_ex2_1___21, n_eval_ex2_2___20, n_eval_ex2_3___19, n_eval_ex2_4___18, n_eval_ex2_5___13, n_eval_ex2_5___8, n_eval_ex2_6___12, n_eval_ex2_6___7, n_eval_ex2_9___6, n_eval_ex2_bb0_in___23, n_eval_ex2_bb1_in___17, n_eval_ex2_bb1_in___4, n_eval_ex2_bb2_in___11, n_eval_ex2_bb2_in___16, n_eval_ex2_bb3_in___10, n_eval_ex2_bb3_in___14, n_eval_ex2_bb4_in___9, n_eval_ex2_bb5_in___15, n_eval_ex2_bb5_in___3, n_eval_ex2_start, n_eval_ex2_stop___1, n_eval_ex2_stop___2
Transitions:
0:n_eval_ex2_0___22(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_1___21(Arg_0,Arg_1,Arg_2,Arg_3)
1:n_eval_ex2_10___5(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_bb1_in___4(Arg_0,Arg_1,Arg_0,Arg_3):|:Arg_1<Arg_3 && Arg_0<=Arg_2+1 && 1+Arg_2<=Arg_0
2:n_eval_ex2_1___21(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_2___20(Arg_0,Arg_1,Arg_2,Arg_3)
3:n_eval_ex2_2___20(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_3___19(Arg_0,Arg_1,Arg_2,Arg_3)
4:n_eval_ex2_3___19(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_4___18(Arg_0,Arg_1,Arg_2,Arg_3)
5:n_eval_ex2_4___18(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_bb1_in___17(Arg_0,Arg_1,1,Arg_3)
6:n_eval_ex2_5___13(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_6___12(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<=Arg_1 && Arg_2<=Arg_3 && Arg_3<=Arg_2
7:n_eval_ex2_5___8(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_6___7(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_1
8:n_eval_ex2_6___12(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_bb2_in___11(Arg_0,Arg_1,Arg_2,Arg_3+1):|:Arg_2<=Arg_1 && Arg_2<=Arg_3 && Arg_3<=Arg_2
9:n_eval_ex2_6___7(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_bb2_in___11(Arg_0,Arg_1,Arg_2,Arg_3+1):|:Arg_3<=Arg_1
10:n_eval_ex2_9___6(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_10___5(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<Arg_3 && Arg_0<=Arg_2+1 && 1+Arg_2<=Arg_0
11:n_eval_ex2_bb0_in___23(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_0___22(Arg_0,Arg_1,Arg_2,Arg_3)
12:n_eval_ex2_bb1_in___17(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_bb2_in___16(Arg_0,Arg_1,Arg_2,Arg_2):|:Arg_2<=1 && 1<=Arg_2 && Arg_2<=Arg_1
13:n_eval_ex2_bb1_in___17(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_bb5_in___15(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<=1 && 1<=Arg_2 && Arg_1<Arg_2
14:n_eval_ex2_bb1_in___4(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_bb2_in___16(Arg_0,Arg_1,Arg_2,Arg_2):|:Arg_0<=Arg_2 && Arg_2<=Arg_0 && Arg_2<=Arg_1
15:n_eval_ex2_bb1_in___4(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_bb5_in___3(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_0<=Arg_2 && Arg_2<=Arg_0 && Arg_1<Arg_2
16:n_eval_ex2_bb2_in___11(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_bb3_in___10(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_1
17:n_eval_ex2_bb2_in___11(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_bb4_in___9(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<Arg_3
18:n_eval_ex2_bb2_in___16(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_bb3_in___14(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_1 && Arg_2<=Arg_3 && Arg_3<=Arg_2 && Arg_3<=Arg_1 && Arg_3<=Arg_1 && Arg_3<=Arg_1
19:n_eval_ex2_bb3_in___10(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_5___8(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_1
20:n_eval_ex2_bb3_in___14(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_5___13(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<=Arg_1 && Arg_2<=Arg_3 && Arg_3<=Arg_2
21:n_eval_ex2_bb4_in___9(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_9___6(Arg_2+1,Arg_1,Arg_2,Arg_3):|:Arg_1<Arg_3
22:n_eval_ex2_bb5_in___15(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_stop___1(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<1 && Arg_2<=1 && 1<=Arg_2
23:n_eval_ex2_bb5_in___3(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_stop___2(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<Arg_0 && Arg_0<=Arg_2 && Arg_2<=Arg_0
24:n_eval_ex2_start(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_bb0_in___23(Arg_0,Arg_1,Arg_2,Arg_3)
Preprocessing
Found invariant Arg_3<=Arg_1 && 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 4<=Arg_1+Arg_3 && 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 2<=Arg_1 for location n_eval_ex2_5___8
Found invariant Arg_3<=Arg_2 && Arg_3<=Arg_1 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_1 for location n_eval_ex2_5___13
Found invariant Arg_3<=Arg_2 && Arg_3<=Arg_1 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_1 for location n_eval_ex2_bb3_in___14
Found invariant Arg_3<=1+Arg_1 && 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_1 for location n_eval_ex2_bb2_in___11
Found invariant Arg_3<=Arg_1 && 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 4<=Arg_1+Arg_3 && 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 2<=Arg_1 for location n_eval_ex2_bb3_in___10
Found invariant Arg_2<=1 && Arg_1+Arg_2<=1 && 1<=Arg_2 && 1+Arg_1<=Arg_2 && Arg_1<=0 for location n_eval_ex2_bb5_in___15
Found invariant Arg_3<=Arg_2 && Arg_3<=Arg_1 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_1 for location n_eval_ex2_6___12
Found invariant Arg_3<=1+Arg_1 && 2<=Arg_3 && 4<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && 4<=Arg_0+Arg_3 && Arg_0<=Arg_3 && Arg_2<=1+Arg_1 && Arg_2<=Arg_0 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && 4<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 2<=Arg_0 for location n_eval_ex2_bb1_in___4
Found invariant Arg_2<=1 && Arg_1+Arg_2<=1 && 1<=Arg_2 && 1+Arg_1<=Arg_2 && Arg_1<=0 for location n_eval_ex2_stop___1
Found invariant Arg_3<=Arg_2 && Arg_3<=Arg_1 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_1 for location n_eval_ex2_bb2_in___16
Found invariant Arg_3<=1+Arg_1 && 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_1 for location n_eval_ex2_bb4_in___9
Found invariant Arg_3<=Arg_2 && Arg_3<=1+Arg_1 && Arg_3<=Arg_0 && 2<=Arg_3 && 4<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && 4<=Arg_0+Arg_3 && Arg_0<=Arg_3 && Arg_2<=1+Arg_1 && Arg_2<=Arg_0 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 2<=Arg_0 for location n_eval_ex2_stop___2
Found invariant Arg_3<=1+Arg_1 && 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && 4<=Arg_0+Arg_3 && Arg_0<=Arg_3 && Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 2<=Arg_0 for location n_eval_ex2_9___6
Found invariant Arg_2<=1 && 1<=Arg_2 for location n_eval_ex2_bb1_in___17
Found invariant Arg_3<=1+Arg_1 && 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && 4<=Arg_0+Arg_3 && Arg_0<=Arg_3 && Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 2<=Arg_0 for location n_eval_ex2_10___5
Found invariant Arg_3<=Arg_1 && 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 4<=Arg_1+Arg_3 && 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 2<=Arg_1 for location n_eval_ex2_6___7
Found invariant Arg_3<=Arg_2 && Arg_3<=1+Arg_1 && Arg_3<=Arg_0 && 2<=Arg_3 && 4<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && 4<=Arg_0+Arg_3 && Arg_0<=Arg_3 && Arg_2<=1+Arg_1 && Arg_2<=Arg_0 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 2<=Arg_0 for location n_eval_ex2_bb5_in___3
Problem after Preprocessing
Start: n_eval_ex2_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars:
Locations: n_eval_ex2_0___22, n_eval_ex2_10___5, n_eval_ex2_1___21, n_eval_ex2_2___20, n_eval_ex2_3___19, n_eval_ex2_4___18, n_eval_ex2_5___13, n_eval_ex2_5___8, n_eval_ex2_6___12, n_eval_ex2_6___7, n_eval_ex2_9___6, n_eval_ex2_bb0_in___23, n_eval_ex2_bb1_in___17, n_eval_ex2_bb1_in___4, n_eval_ex2_bb2_in___11, n_eval_ex2_bb2_in___16, n_eval_ex2_bb3_in___10, n_eval_ex2_bb3_in___14, n_eval_ex2_bb4_in___9, n_eval_ex2_bb5_in___15, n_eval_ex2_bb5_in___3, n_eval_ex2_start, n_eval_ex2_stop___1, n_eval_ex2_stop___2
Transitions:
0:n_eval_ex2_0___22(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_1___21(Arg_0,Arg_1,Arg_2,Arg_3)
1:n_eval_ex2_10___5(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_bb1_in___4(Arg_0,Arg_1,Arg_0,Arg_3):|:Arg_3<=1+Arg_1 && 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && 4<=Arg_0+Arg_3 && Arg_0<=Arg_3 && Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 2<=Arg_0 && Arg_1<Arg_3 && Arg_0<=Arg_2+1 && 1+Arg_2<=Arg_0
2:n_eval_ex2_1___21(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_2___20(Arg_0,Arg_1,Arg_2,Arg_3)
3:n_eval_ex2_2___20(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_3___19(Arg_0,Arg_1,Arg_2,Arg_3)
4:n_eval_ex2_3___19(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_4___18(Arg_0,Arg_1,Arg_2,Arg_3)
5:n_eval_ex2_4___18(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_bb1_in___17(Arg_0,Arg_1,1,Arg_3)
6:n_eval_ex2_5___13(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_6___12(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_2 && Arg_3<=Arg_1 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_2<=Arg_1 && Arg_2<=Arg_3 && Arg_3<=Arg_2
7:n_eval_ex2_5___8(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_6___7(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_1 && 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 4<=Arg_1+Arg_3 && 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_3<=Arg_1
8:n_eval_ex2_6___12(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_bb2_in___11(Arg_0,Arg_1,Arg_2,Arg_3+1):|:Arg_3<=Arg_2 && Arg_3<=Arg_1 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_2<=Arg_1 && Arg_2<=Arg_3 && Arg_3<=Arg_2
9:n_eval_ex2_6___7(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_bb2_in___11(Arg_0,Arg_1,Arg_2,Arg_3+1):|:Arg_3<=Arg_1 && 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 4<=Arg_1+Arg_3 && 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_3<=Arg_1
10:n_eval_ex2_9___6(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_10___5(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=1+Arg_1 && 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && 4<=Arg_0+Arg_3 && Arg_0<=Arg_3 && Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 2<=Arg_0 && Arg_1<Arg_3 && Arg_0<=Arg_2+1 && 1+Arg_2<=Arg_0
11:n_eval_ex2_bb0_in___23(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_0___22(Arg_0,Arg_1,Arg_2,Arg_3)
12:n_eval_ex2_bb1_in___17(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_bb2_in___16(Arg_0,Arg_1,Arg_2,Arg_2):|:Arg_2<=1 && 1<=Arg_2 && Arg_2<=1 && 1<=Arg_2 && Arg_2<=Arg_1
13:n_eval_ex2_bb1_in___17(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_bb5_in___15(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<=1 && 1<=Arg_2 && Arg_2<=1 && 1<=Arg_2 && Arg_1<Arg_2
14:n_eval_ex2_bb1_in___4(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_bb2_in___16(Arg_0,Arg_1,Arg_2,Arg_2):|:Arg_3<=1+Arg_1 && 2<=Arg_3 && 4<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && 4<=Arg_0+Arg_3 && Arg_0<=Arg_3 && Arg_2<=1+Arg_1 && Arg_2<=Arg_0 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && 4<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 2<=Arg_0 && Arg_0<=Arg_2 && Arg_2<=Arg_0 && Arg_2<=Arg_1
15:n_eval_ex2_bb1_in___4(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_bb5_in___3(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=1+Arg_1 && 2<=Arg_3 && 4<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && 4<=Arg_0+Arg_3 && Arg_0<=Arg_3 && Arg_2<=1+Arg_1 && Arg_2<=Arg_0 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && 4<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 2<=Arg_0 && Arg_0<=Arg_2 && Arg_2<=Arg_0 && Arg_1<Arg_2
16:n_eval_ex2_bb2_in___11(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_bb3_in___10(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=1+Arg_1 && 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_3<=Arg_1
17:n_eval_ex2_bb2_in___11(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_bb4_in___9(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=1+Arg_1 && 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_1<Arg_3
18:n_eval_ex2_bb2_in___16(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_bb3_in___14(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_2 && Arg_3<=Arg_1 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_3<=Arg_1 && Arg_2<=Arg_3 && Arg_3<=Arg_2 && Arg_3<=Arg_1 && Arg_3<=Arg_1 && Arg_3<=Arg_1
19:n_eval_ex2_bb3_in___10(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_5___8(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_1 && 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 4<=Arg_1+Arg_3 && 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_3<=Arg_1
20:n_eval_ex2_bb3_in___14(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_5___13(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_2 && Arg_3<=Arg_1 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_2<=Arg_1 && Arg_2<=Arg_3 && Arg_3<=Arg_2
21:n_eval_ex2_bb4_in___9(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_9___6(Arg_2+1,Arg_1,Arg_2,Arg_3):|:Arg_3<=1+Arg_1 && 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_1<Arg_3
22:n_eval_ex2_bb5_in___15(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_stop___1(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<=1 && Arg_1+Arg_2<=1 && 1<=Arg_2 && 1+Arg_1<=Arg_2 && Arg_1<=0 && Arg_1<1 && Arg_2<=1 && 1<=Arg_2
23:n_eval_ex2_bb5_in___3(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_stop___2(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_2 && Arg_3<=1+Arg_1 && Arg_3<=Arg_0 && 2<=Arg_3 && 4<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && 4<=Arg_0+Arg_3 && Arg_0<=Arg_3 && Arg_2<=1+Arg_1 && Arg_2<=Arg_0 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 2<=Arg_0 && Arg_1<Arg_0 && Arg_0<=Arg_2 && Arg_2<=Arg_0
24:n_eval_ex2_start(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_bb0_in___23(Arg_0,Arg_1,Arg_2,Arg_3)
MPRF for transition 1:n_eval_ex2_10___5(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_bb1_in___4(Arg_0,Arg_1,Arg_0,Arg_3):|:Arg_3<=1+Arg_1 && 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && 4<=Arg_0+Arg_3 && Arg_0<=Arg_3 && Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 2<=Arg_0 && Arg_1<Arg_3 && Arg_0<=Arg_2+1 && 1+Arg_2<=Arg_0 of depth 1:
new bound:
2*Arg_1+1 {O(n)}
MPRF:
n_eval_ex2_6___12 [2*Arg_1-Arg_3 ]
n_eval_ex2_6___7 [2*Arg_1-Arg_2 ]
n_eval_ex2_10___5 [2*Arg_1-Arg_2 ]
n_eval_ex2_bb1_in___4 [2*Arg_1-Arg_0 ]
n_eval_ex2_bb2_in___11 [2*Arg_1-Arg_2 ]
n_eval_ex2_bb2_in___16 [2*Arg_1-Arg_2 ]
n_eval_ex2_bb3_in___10 [2*Arg_1-Arg_2 ]
n_eval_ex2_5___8 [2*Arg_1-Arg_2 ]
n_eval_ex2_bb3_in___14 [2*Arg_1-Arg_3 ]
n_eval_ex2_5___13 [2*Arg_1-Arg_2 ]
n_eval_ex2_bb4_in___9 [2*Arg_1-Arg_2 ]
n_eval_ex2_9___6 [2*Arg_1-Arg_2 ]
MPRF for transition 6:n_eval_ex2_5___13(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_6___12(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_2 && Arg_3<=Arg_1 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_2<=Arg_1 && Arg_2<=Arg_3 && Arg_3<=Arg_2 of depth 1:
new bound:
Arg_1+2 {O(n)}
MPRF:
n_eval_ex2_6___12 [Arg_1-Arg_3 ]
n_eval_ex2_6___7 [Arg_1-Arg_2 ]
n_eval_ex2_10___5 [Arg_1+1-Arg_0 ]
n_eval_ex2_bb1_in___4 [Arg_1+1-Arg_2 ]
n_eval_ex2_bb2_in___11 [Arg_1-Arg_2 ]
n_eval_ex2_bb2_in___16 [Arg_1+1-Arg_2 ]
n_eval_ex2_bb3_in___10 [Arg_1-Arg_2 ]
n_eval_ex2_5___8 [Arg_1-Arg_2 ]
n_eval_ex2_bb3_in___14 [Arg_1+Arg_3+1-2*Arg_2 ]
n_eval_ex2_5___13 [Arg_1+1-Arg_2 ]
n_eval_ex2_bb4_in___9 [Arg_1-Arg_2 ]
n_eval_ex2_9___6 [Arg_1-Arg_2 ]
MPRF for transition 8:n_eval_ex2_6___12(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_bb2_in___11(Arg_0,Arg_1,Arg_2,Arg_3+1):|:Arg_3<=Arg_2 && Arg_3<=Arg_1 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_2<=Arg_1 && Arg_2<=Arg_3 && Arg_3<=Arg_2 of depth 1:
new bound:
Arg_1+2 {O(n)}
MPRF:
n_eval_ex2_6___12 [Arg_1+1-Arg_2 ]
n_eval_ex2_6___7 [Arg_1-Arg_2 ]
n_eval_ex2_10___5 [Arg_1-Arg_2 ]
n_eval_ex2_bb1_in___4 [Arg_1+1-Arg_2 ]
n_eval_ex2_bb2_in___11 [Arg_1-Arg_2 ]
n_eval_ex2_bb2_in___16 [Arg_1+1-Arg_2 ]
n_eval_ex2_bb3_in___10 [Arg_1-Arg_2 ]
n_eval_ex2_5___8 [Arg_1-Arg_2 ]
n_eval_ex2_bb3_in___14 [Arg_1+1-Arg_3 ]
n_eval_ex2_5___13 [Arg_1+1-Arg_3 ]
n_eval_ex2_bb4_in___9 [Arg_1-Arg_2 ]
n_eval_ex2_9___6 [Arg_1-Arg_2 ]
MPRF for transition 10:n_eval_ex2_9___6(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_10___5(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=1+Arg_1 && 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && 4<=Arg_0+Arg_3 && Arg_0<=Arg_3 && Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 2<=Arg_0 && Arg_1<Arg_3 && Arg_0<=Arg_2+1 && 1+Arg_2<=Arg_0 of depth 1:
new bound:
Arg_1+2 {O(n)}
MPRF:
n_eval_ex2_6___12 [Arg_1+1-Arg_3 ]
n_eval_ex2_6___7 [Arg_1+1-Arg_2 ]
n_eval_ex2_10___5 [Arg_3-Arg_0 ]
n_eval_ex2_bb1_in___4 [Arg_1+1-Arg_0 ]
n_eval_ex2_bb2_in___11 [Arg_1+1-Arg_2 ]
n_eval_ex2_bb2_in___16 [Arg_1+1-Arg_2 ]
n_eval_ex2_bb3_in___10 [Arg_1+1-Arg_2 ]
n_eval_ex2_5___8 [Arg_1+1-Arg_2 ]
n_eval_ex2_bb3_in___14 [Arg_1+1-Arg_2 ]
n_eval_ex2_5___13 [Arg_1+1-Arg_2 ]
n_eval_ex2_bb4_in___9 [Arg_3-Arg_2 ]
n_eval_ex2_9___6 [Arg_3+1-Arg_0 ]
MPRF for transition 14:n_eval_ex2_bb1_in___4(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_bb2_in___16(Arg_0,Arg_1,Arg_2,Arg_2):|:Arg_3<=1+Arg_1 && 2<=Arg_3 && 4<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && 4<=Arg_0+Arg_3 && Arg_0<=Arg_3 && Arg_2<=1+Arg_1 && Arg_2<=Arg_0 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && 4<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 2<=Arg_0 && Arg_0<=Arg_2 && Arg_2<=Arg_0 && Arg_2<=Arg_1 of depth 1:
new bound:
2*Arg_1+1 {O(n)}
MPRF:
n_eval_ex2_6___12 [2*Arg_1-Arg_2 ]
n_eval_ex2_6___7 [2*Arg_1-Arg_2 ]
n_eval_ex2_10___5 [2*Arg_3-Arg_0-1 ]
n_eval_ex2_bb1_in___4 [2*Arg_3-Arg_2-1 ]
n_eval_ex2_bb2_in___11 [2*Arg_1-Arg_2 ]
n_eval_ex2_bb2_in___16 [2*Arg_1-Arg_2 ]
n_eval_ex2_bb3_in___10 [2*Arg_1-Arg_2 ]
n_eval_ex2_5___8 [2*Arg_1-Arg_2 ]
n_eval_ex2_bb3_in___14 [2*Arg_1-Arg_3 ]
n_eval_ex2_5___13 [2*Arg_1-Arg_2 ]
n_eval_ex2_bb4_in___9 [2*Arg_3-Arg_2-2 ]
n_eval_ex2_9___6 [2*Arg_3-Arg_0-1 ]
MPRF for transition 17:n_eval_ex2_bb2_in___11(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_bb4_in___9(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=1+Arg_1 && 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_1<Arg_3 of depth 1:
new bound:
2*Arg_1+1 {O(n)}
MPRF:
n_eval_ex2_6___12 [2*Arg_1-Arg_2 ]
n_eval_ex2_6___7 [2*Arg_1-Arg_2 ]
n_eval_ex2_10___5 [2*Arg_2+2*Arg_3-3*Arg_0 ]
n_eval_ex2_bb1_in___4 [2*Arg_3-Arg_2-2 ]
n_eval_ex2_bb2_in___11 [2*Arg_1-Arg_2 ]
n_eval_ex2_bb2_in___16 [2*Arg_1-Arg_2 ]
n_eval_ex2_bb3_in___10 [2*Arg_1-Arg_2 ]
n_eval_ex2_5___8 [2*Arg_1-Arg_2 ]
n_eval_ex2_bb3_in___14 [2*Arg_1-Arg_3 ]
n_eval_ex2_5___13 [2*Arg_1-Arg_2 ]
n_eval_ex2_bb4_in___9 [2*Arg_3-Arg_2-3 ]
n_eval_ex2_9___6 [2*Arg_2+2*Arg_3-3*Arg_0 ]
MPRF for transition 18:n_eval_ex2_bb2_in___16(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_bb3_in___14(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_2 && Arg_3<=Arg_1 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_3<=Arg_1 && Arg_2<=Arg_3 && Arg_3<=Arg_2 && Arg_3<=Arg_1 && Arg_3<=Arg_1 && Arg_3<=Arg_1 of depth 1:
new bound:
2*Arg_1+4 {O(n)}
MPRF:
n_eval_ex2_6___12 [2*Arg_1-2*Arg_2 ]
n_eval_ex2_6___7 [2*Arg_1-2*Arg_2 ]
n_eval_ex2_10___5 [2*Arg_1+2-2*Arg_0 ]
n_eval_ex2_bb1_in___4 [2*Arg_1+2-2*Arg_2 ]
n_eval_ex2_bb2_in___11 [2*Arg_1-2*Arg_2 ]
n_eval_ex2_bb2_in___16 [2*Arg_1+2-2*Arg_3 ]
n_eval_ex2_bb3_in___10 [2*Arg_1-2*Arg_2 ]
n_eval_ex2_5___8 [2*Arg_1-2*Arg_2 ]
n_eval_ex2_bb3_in___14 [2*Arg_1-2*Arg_3 ]
n_eval_ex2_5___13 [2*Arg_1-2*Arg_2 ]
n_eval_ex2_bb4_in___9 [2*Arg_1-2*Arg_2 ]
n_eval_ex2_9___6 [2*Arg_1+2-2*Arg_0 ]
MPRF for transition 20:n_eval_ex2_bb3_in___14(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_5___13(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_2 && Arg_3<=Arg_1 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_2<=Arg_1 && Arg_2<=Arg_3 && Arg_3<=Arg_2 of depth 1:
new bound:
Arg_1+2 {O(n)}
MPRF:
n_eval_ex2_6___12 [Arg_1-Arg_2 ]
n_eval_ex2_6___7 [Arg_1-Arg_2 ]
n_eval_ex2_10___5 [Arg_1+1-Arg_0 ]
n_eval_ex2_bb1_in___4 [Arg_1+1-Arg_2 ]
n_eval_ex2_bb2_in___11 [Arg_1-Arg_2 ]
n_eval_ex2_bb2_in___16 [Arg_1+1-Arg_2 ]
n_eval_ex2_bb3_in___10 [Arg_1-Arg_2 ]
n_eval_ex2_5___8 [Arg_1-Arg_2 ]
n_eval_ex2_bb3_in___14 [Arg_1+1-Arg_3 ]
n_eval_ex2_5___13 [Arg_1-Arg_3 ]
n_eval_ex2_bb4_in___9 [Arg_1-Arg_2 ]
n_eval_ex2_9___6 [Arg_1+1-Arg_0 ]
MPRF for transition 21:n_eval_ex2_bb4_in___9(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_9___6(Arg_2+1,Arg_1,Arg_2,Arg_3):|:Arg_3<=1+Arg_1 && 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_1<Arg_3 of depth 1:
new bound:
Arg_1+3 {O(n)}
MPRF:
n_eval_ex2_6___12 [Arg_1+2-Arg_2 ]
n_eval_ex2_6___7 [Arg_1+2-Arg_2 ]
n_eval_ex2_10___5 [Arg_1+1-Arg_2 ]
n_eval_ex2_bb1_in___4 [Arg_1+2-Arg_0 ]
n_eval_ex2_bb2_in___11 [Arg_1+2-Arg_2 ]
n_eval_ex2_bb2_in___16 [Arg_1+2-Arg_3 ]
n_eval_ex2_bb3_in___10 [Arg_1+2-Arg_2 ]
n_eval_ex2_5___8 [Arg_1+2-Arg_2 ]
n_eval_ex2_bb3_in___14 [Arg_1+2-Arg_3 ]
n_eval_ex2_5___13 [Arg_1+2-Arg_3 ]
n_eval_ex2_bb4_in___9 [Arg_1+2-Arg_2 ]
n_eval_ex2_9___6 [Arg_1+1-Arg_2 ]
MPRF for transition 7:n_eval_ex2_5___8(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_6___7(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_1 && 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 4<=Arg_1+Arg_3 && 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_3<=Arg_1 of depth 1:
new bound:
Arg_1*Arg_1+4*Arg_1 {O(n^2)}
MPRF:
n_eval_ex2_6___12 [Arg_1-Arg_3 ]
n_eval_ex2_6___7 [Arg_1-Arg_3 ]
n_eval_ex2_9___6 [Arg_1 ]
n_eval_ex2_10___5 [Arg_1 ]
n_eval_ex2_bb1_in___4 [Arg_1 ]
n_eval_ex2_bb2_in___11 [Arg_1+1-Arg_3 ]
n_eval_ex2_bb4_in___9 [Arg_1-Arg_3 ]
n_eval_ex2_bb2_in___16 [Arg_1 ]
n_eval_ex2_bb3_in___10 [Arg_1+1-Arg_3 ]
n_eval_ex2_5___8 [Arg_1+1-Arg_3 ]
n_eval_ex2_bb3_in___14 [Arg_1 ]
n_eval_ex2_5___13 [Arg_1-Arg_3 ]
MPRF for transition 9:n_eval_ex2_6___7(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_bb2_in___11(Arg_0,Arg_1,Arg_2,Arg_3+1):|:Arg_3<=Arg_1 && 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 4<=Arg_1+Arg_3 && 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_3<=Arg_1 of depth 1:
new bound:
2*Arg_1*Arg_1+8*Arg_1 {O(n^2)}
MPRF:
n_eval_ex2_6___12 [2*Arg_1 ]
n_eval_ex2_6___7 [2*Arg_1-Arg_3 ]
n_eval_ex2_9___6 [2*Arg_1 ]
n_eval_ex2_10___5 [2*Arg_1 ]
n_eval_ex2_bb1_in___4 [2*Arg_1 ]
n_eval_ex2_bb2_in___11 [2*Arg_1-Arg_3 ]
n_eval_ex2_bb4_in___9 [2*Arg_1-Arg_3 ]
n_eval_ex2_bb2_in___16 [2*Arg_1 ]
n_eval_ex2_bb3_in___10 [2*Arg_1-Arg_3 ]
n_eval_ex2_5___8 [2*Arg_1-Arg_3 ]
n_eval_ex2_bb3_in___14 [2*Arg_1 ]
n_eval_ex2_5___13 [2*Arg_1 ]
MPRF for transition 16:n_eval_ex2_bb2_in___11(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_bb3_in___10(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=1+Arg_1 && 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_3<=Arg_1 of depth 1:
new bound:
Arg_1*Arg_1+4*Arg_1 {O(n^2)}
MPRF:
n_eval_ex2_6___12 [Arg_1 ]
n_eval_ex2_6___7 [Arg_1-Arg_3 ]
n_eval_ex2_9___6 [Arg_1 ]
n_eval_ex2_10___5 [Arg_1 ]
n_eval_ex2_bb1_in___4 [Arg_1 ]
n_eval_ex2_bb2_in___11 [Arg_1+1-Arg_3 ]
n_eval_ex2_bb4_in___9 [Arg_1-Arg_3 ]
n_eval_ex2_bb2_in___16 [Arg_1 ]
n_eval_ex2_bb3_in___10 [Arg_1-Arg_3 ]
n_eval_ex2_5___8 [Arg_1-Arg_3 ]
n_eval_ex2_bb3_in___14 [Arg_1 ]
n_eval_ex2_5___13 [Arg_1 ]
MPRF for transition 19:n_eval_ex2_bb3_in___10(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex2_5___8(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_1 && 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 4<=Arg_1+Arg_3 && 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_3<=Arg_1 of depth 1:
new bound:
Arg_1*Arg_1+4*Arg_1 {O(n^2)}
MPRF:
n_eval_ex2_6___12 [Arg_1 ]
n_eval_ex2_6___7 [Arg_1-Arg_3 ]
n_eval_ex2_9___6 [Arg_1 ]
n_eval_ex2_10___5 [Arg_1 ]
n_eval_ex2_bb1_in___4 [Arg_1 ]
n_eval_ex2_bb2_in___11 [Arg_1+1-Arg_3 ]
n_eval_ex2_bb4_in___9 [Arg_1-Arg_3 ]
n_eval_ex2_bb2_in___16 [Arg_1 ]
n_eval_ex2_bb3_in___10 [Arg_1+1-Arg_3 ]
n_eval_ex2_5___8 [Arg_1-Arg_3 ]
n_eval_ex2_bb3_in___14 [Arg_1 ]
n_eval_ex2_5___13 [Arg_1 ]
All Bounds
Timebounds
Overall timebound:5*Arg_1*Arg_1+33*Arg_1+30 {O(n^2)}
0: n_eval_ex2_0___22->n_eval_ex2_1___21: 1 {O(1)}
1: n_eval_ex2_10___5->n_eval_ex2_bb1_in___4: 2*Arg_1+1 {O(n)}
2: n_eval_ex2_1___21->n_eval_ex2_2___20: 1 {O(1)}
3: n_eval_ex2_2___20->n_eval_ex2_3___19: 1 {O(1)}
4: n_eval_ex2_3___19->n_eval_ex2_4___18: 1 {O(1)}
5: n_eval_ex2_4___18->n_eval_ex2_bb1_in___17: 1 {O(1)}
6: n_eval_ex2_5___13->n_eval_ex2_6___12: Arg_1+2 {O(n)}
7: n_eval_ex2_5___8->n_eval_ex2_6___7: Arg_1*Arg_1+4*Arg_1 {O(n^2)}
8: n_eval_ex2_6___12->n_eval_ex2_bb2_in___11: Arg_1+2 {O(n)}
9: n_eval_ex2_6___7->n_eval_ex2_bb2_in___11: 2*Arg_1*Arg_1+8*Arg_1 {O(n^2)}
10: n_eval_ex2_9___6->n_eval_ex2_10___5: Arg_1+2 {O(n)}
11: n_eval_ex2_bb0_in___23->n_eval_ex2_0___22: 1 {O(1)}
12: n_eval_ex2_bb1_in___17->n_eval_ex2_bb2_in___16: 1 {O(1)}
13: n_eval_ex2_bb1_in___17->n_eval_ex2_bb5_in___15: 1 {O(1)}
14: n_eval_ex2_bb1_in___4->n_eval_ex2_bb2_in___16: 2*Arg_1+1 {O(n)}
15: n_eval_ex2_bb1_in___4->n_eval_ex2_bb5_in___3: 1 {O(1)}
16: n_eval_ex2_bb2_in___11->n_eval_ex2_bb3_in___10: Arg_1*Arg_1+4*Arg_1 {O(n^2)}
17: n_eval_ex2_bb2_in___11->n_eval_ex2_bb4_in___9: 2*Arg_1+1 {O(n)}
18: n_eval_ex2_bb2_in___16->n_eval_ex2_bb3_in___14: 2*Arg_1+4 {O(n)}
19: n_eval_ex2_bb3_in___10->n_eval_ex2_5___8: Arg_1*Arg_1+4*Arg_1 {O(n^2)}
20: n_eval_ex2_bb3_in___14->n_eval_ex2_5___13: Arg_1+2 {O(n)}
21: n_eval_ex2_bb4_in___9->n_eval_ex2_9___6: Arg_1+3 {O(n)}
22: n_eval_ex2_bb5_in___15->n_eval_ex2_stop___1: 1 {O(1)}
23: n_eval_ex2_bb5_in___3->n_eval_ex2_stop___2: 1 {O(1)}
24: n_eval_ex2_start->n_eval_ex2_bb0_in___23: 1 {O(1)}
Costbounds
Overall costbound: 5*Arg_1*Arg_1+33*Arg_1+30 {O(n^2)}
0: n_eval_ex2_0___22->n_eval_ex2_1___21: 1 {O(1)}
1: n_eval_ex2_10___5->n_eval_ex2_bb1_in___4: 2*Arg_1+1 {O(n)}
2: n_eval_ex2_1___21->n_eval_ex2_2___20: 1 {O(1)}
3: n_eval_ex2_2___20->n_eval_ex2_3___19: 1 {O(1)}
4: n_eval_ex2_3___19->n_eval_ex2_4___18: 1 {O(1)}
5: n_eval_ex2_4___18->n_eval_ex2_bb1_in___17: 1 {O(1)}
6: n_eval_ex2_5___13->n_eval_ex2_6___12: Arg_1+2 {O(n)}
7: n_eval_ex2_5___8->n_eval_ex2_6___7: Arg_1*Arg_1+4*Arg_1 {O(n^2)}
8: n_eval_ex2_6___12->n_eval_ex2_bb2_in___11: Arg_1+2 {O(n)}
9: n_eval_ex2_6___7->n_eval_ex2_bb2_in___11: 2*Arg_1*Arg_1+8*Arg_1 {O(n^2)}
10: n_eval_ex2_9___6->n_eval_ex2_10___5: Arg_1+2 {O(n)}
11: n_eval_ex2_bb0_in___23->n_eval_ex2_0___22: 1 {O(1)}
12: n_eval_ex2_bb1_in___17->n_eval_ex2_bb2_in___16: 1 {O(1)}
13: n_eval_ex2_bb1_in___17->n_eval_ex2_bb5_in___15: 1 {O(1)}
14: n_eval_ex2_bb1_in___4->n_eval_ex2_bb2_in___16: 2*Arg_1+1 {O(n)}
15: n_eval_ex2_bb1_in___4->n_eval_ex2_bb5_in___3: 1 {O(1)}
16: n_eval_ex2_bb2_in___11->n_eval_ex2_bb3_in___10: Arg_1*Arg_1+4*Arg_1 {O(n^2)}
17: n_eval_ex2_bb2_in___11->n_eval_ex2_bb4_in___9: 2*Arg_1+1 {O(n)}
18: n_eval_ex2_bb2_in___16->n_eval_ex2_bb3_in___14: 2*Arg_1+4 {O(n)}
19: n_eval_ex2_bb3_in___10->n_eval_ex2_5___8: Arg_1*Arg_1+4*Arg_1 {O(n^2)}
20: n_eval_ex2_bb3_in___14->n_eval_ex2_5___13: Arg_1+2 {O(n)}
21: n_eval_ex2_bb4_in___9->n_eval_ex2_9___6: Arg_1+3 {O(n)}
22: n_eval_ex2_bb5_in___15->n_eval_ex2_stop___1: 1 {O(1)}
23: n_eval_ex2_bb5_in___3->n_eval_ex2_stop___2: 1 {O(1)}
24: n_eval_ex2_start->n_eval_ex2_bb0_in___23: 1 {O(1)}
Sizebounds
0: n_eval_ex2_0___22->n_eval_ex2_1___21, Arg_0: Arg_0 {O(n)}
0: n_eval_ex2_0___22->n_eval_ex2_1___21, Arg_1: Arg_1 {O(n)}
0: n_eval_ex2_0___22->n_eval_ex2_1___21, Arg_2: Arg_2 {O(n)}
0: n_eval_ex2_0___22->n_eval_ex2_1___21, Arg_3: Arg_3 {O(n)}
1: n_eval_ex2_10___5->n_eval_ex2_bb1_in___4, Arg_0: Arg_1+4 {O(n)}
1: n_eval_ex2_10___5->n_eval_ex2_bb1_in___4, Arg_1: Arg_1 {O(n)}
1: n_eval_ex2_10___5->n_eval_ex2_bb1_in___4, Arg_2: Arg_1+4 {O(n)}
1: n_eval_ex2_10___5->n_eval_ex2_bb1_in___4, Arg_3: 2*Arg_1*Arg_1+10*Arg_1+12 {O(n^2)}
2: n_eval_ex2_1___21->n_eval_ex2_2___20, Arg_0: Arg_0 {O(n)}
2: n_eval_ex2_1___21->n_eval_ex2_2___20, Arg_1: Arg_1 {O(n)}
2: n_eval_ex2_1___21->n_eval_ex2_2___20, Arg_2: Arg_2 {O(n)}
2: n_eval_ex2_1___21->n_eval_ex2_2___20, Arg_3: Arg_3 {O(n)}
3: n_eval_ex2_2___20->n_eval_ex2_3___19, Arg_0: Arg_0 {O(n)}
3: n_eval_ex2_2___20->n_eval_ex2_3___19, Arg_1: Arg_1 {O(n)}
3: n_eval_ex2_2___20->n_eval_ex2_3___19, Arg_2: Arg_2 {O(n)}
3: n_eval_ex2_2___20->n_eval_ex2_3___19, Arg_3: Arg_3 {O(n)}
4: n_eval_ex2_3___19->n_eval_ex2_4___18, Arg_0: Arg_0 {O(n)}
4: n_eval_ex2_3___19->n_eval_ex2_4___18, Arg_1: Arg_1 {O(n)}
4: n_eval_ex2_3___19->n_eval_ex2_4___18, Arg_2: Arg_2 {O(n)}
4: n_eval_ex2_3___19->n_eval_ex2_4___18, Arg_3: Arg_3 {O(n)}
5: n_eval_ex2_4___18->n_eval_ex2_bb1_in___17, Arg_0: Arg_0 {O(n)}
5: n_eval_ex2_4___18->n_eval_ex2_bb1_in___17, Arg_1: Arg_1 {O(n)}
5: n_eval_ex2_4___18->n_eval_ex2_bb1_in___17, Arg_2: 1 {O(1)}
5: n_eval_ex2_4___18->n_eval_ex2_bb1_in___17, Arg_3: Arg_3 {O(n)}
6: n_eval_ex2_5___13->n_eval_ex2_6___12, Arg_0: Arg_0+Arg_1+4 {O(n)}
6: n_eval_ex2_5___13->n_eval_ex2_6___12, Arg_1: Arg_1 {O(n)}
6: n_eval_ex2_5___13->n_eval_ex2_6___12, Arg_2: Arg_1+4 {O(n)}
6: n_eval_ex2_5___13->n_eval_ex2_6___12, Arg_3: Arg_1+5 {O(n)}
7: n_eval_ex2_5___8->n_eval_ex2_6___7, Arg_0: Arg_0+Arg_1+4 {O(n)}
7: n_eval_ex2_5___8->n_eval_ex2_6___7, Arg_1: Arg_1 {O(n)}
7: n_eval_ex2_5___8->n_eval_ex2_6___7, Arg_2: Arg_1+4 {O(n)}
7: n_eval_ex2_5___8->n_eval_ex2_6___7, Arg_3: 2*Arg_1*Arg_1+9*Arg_1+6 {O(n^2)}
8: n_eval_ex2_6___12->n_eval_ex2_bb2_in___11, Arg_0: Arg_0+Arg_1+4 {O(n)}
8: n_eval_ex2_6___12->n_eval_ex2_bb2_in___11, Arg_1: Arg_1 {O(n)}
8: n_eval_ex2_6___12->n_eval_ex2_bb2_in___11, Arg_2: Arg_1+4 {O(n)}
8: n_eval_ex2_6___12->n_eval_ex2_bb2_in___11, Arg_3: Arg_1+6 {O(n)}
9: n_eval_ex2_6___7->n_eval_ex2_bb2_in___11, Arg_0: Arg_0+Arg_1+4 {O(n)}
9: n_eval_ex2_6___7->n_eval_ex2_bb2_in___11, Arg_1: Arg_1 {O(n)}
9: n_eval_ex2_6___7->n_eval_ex2_bb2_in___11, Arg_2: Arg_1+4 {O(n)}
9: n_eval_ex2_6___7->n_eval_ex2_bb2_in___11, Arg_3: 2*Arg_1*Arg_1+9*Arg_1+6 {O(n^2)}
10: n_eval_ex2_9___6->n_eval_ex2_10___5, Arg_0: Arg_1+4 {O(n)}
10: n_eval_ex2_9___6->n_eval_ex2_10___5, Arg_1: Arg_1 {O(n)}
10: n_eval_ex2_9___6->n_eval_ex2_10___5, Arg_2: Arg_1+4 {O(n)}
10: n_eval_ex2_9___6->n_eval_ex2_10___5, Arg_3: 2*Arg_1*Arg_1+10*Arg_1+12 {O(n^2)}
11: n_eval_ex2_bb0_in___23->n_eval_ex2_0___22, Arg_0: Arg_0 {O(n)}
11: n_eval_ex2_bb0_in___23->n_eval_ex2_0___22, Arg_1: Arg_1 {O(n)}
11: n_eval_ex2_bb0_in___23->n_eval_ex2_0___22, Arg_2: Arg_2 {O(n)}
11: n_eval_ex2_bb0_in___23->n_eval_ex2_0___22, Arg_3: Arg_3 {O(n)}
12: n_eval_ex2_bb1_in___17->n_eval_ex2_bb2_in___16, Arg_0: Arg_0 {O(n)}
12: n_eval_ex2_bb1_in___17->n_eval_ex2_bb2_in___16, Arg_1: Arg_1 {O(n)}
12: n_eval_ex2_bb1_in___17->n_eval_ex2_bb2_in___16, Arg_2: 1 {O(1)}
12: n_eval_ex2_bb1_in___17->n_eval_ex2_bb2_in___16, Arg_3: 1 {O(1)}
13: n_eval_ex2_bb1_in___17->n_eval_ex2_bb5_in___15, Arg_0: Arg_0 {O(n)}
13: n_eval_ex2_bb1_in___17->n_eval_ex2_bb5_in___15, Arg_1: Arg_1 {O(n)}
13: n_eval_ex2_bb1_in___17->n_eval_ex2_bb5_in___15, Arg_2: 1 {O(1)}
13: n_eval_ex2_bb1_in___17->n_eval_ex2_bb5_in___15, Arg_3: Arg_3 {O(n)}
14: n_eval_ex2_bb1_in___4->n_eval_ex2_bb2_in___16, Arg_0: Arg_1+4 {O(n)}
14: n_eval_ex2_bb1_in___4->n_eval_ex2_bb2_in___16, Arg_1: Arg_1 {O(n)}
14: n_eval_ex2_bb1_in___4->n_eval_ex2_bb2_in___16, Arg_2: Arg_1+4 {O(n)}
14: n_eval_ex2_bb1_in___4->n_eval_ex2_bb2_in___16, Arg_3: Arg_1+4 {O(n)}
15: n_eval_ex2_bb1_in___4->n_eval_ex2_bb5_in___3, Arg_0: Arg_1+4 {O(n)}
15: n_eval_ex2_bb1_in___4->n_eval_ex2_bb5_in___3, Arg_1: Arg_1 {O(n)}
15: n_eval_ex2_bb1_in___4->n_eval_ex2_bb5_in___3, Arg_2: Arg_1+4 {O(n)}
15: n_eval_ex2_bb1_in___4->n_eval_ex2_bb5_in___3, Arg_3: 2*Arg_1*Arg_1+10*Arg_1+12 {O(n^2)}
16: n_eval_ex2_bb2_in___11->n_eval_ex2_bb3_in___10, Arg_0: Arg_0+Arg_1+4 {O(n)}
16: n_eval_ex2_bb2_in___11->n_eval_ex2_bb3_in___10, Arg_1: Arg_1 {O(n)}
16: n_eval_ex2_bb2_in___11->n_eval_ex2_bb3_in___10, Arg_2: Arg_1+4 {O(n)}
16: n_eval_ex2_bb2_in___11->n_eval_ex2_bb3_in___10, Arg_3: 2*Arg_1*Arg_1+9*Arg_1+6 {O(n^2)}
17: n_eval_ex2_bb2_in___11->n_eval_ex2_bb4_in___9, Arg_0: 2*Arg_0+2*Arg_1+8 {O(n)}
17: n_eval_ex2_bb2_in___11->n_eval_ex2_bb4_in___9, Arg_1: Arg_1 {O(n)}
17: n_eval_ex2_bb2_in___11->n_eval_ex2_bb4_in___9, Arg_2: Arg_1+4 {O(n)}
17: n_eval_ex2_bb2_in___11->n_eval_ex2_bb4_in___9, Arg_3: 2*Arg_1*Arg_1+10*Arg_1+12 {O(n^2)}
18: n_eval_ex2_bb2_in___16->n_eval_ex2_bb3_in___14, Arg_0: Arg_0+Arg_1+4 {O(n)}
18: n_eval_ex2_bb2_in___16->n_eval_ex2_bb3_in___14, Arg_1: Arg_1 {O(n)}
18: n_eval_ex2_bb2_in___16->n_eval_ex2_bb3_in___14, Arg_2: Arg_1+4 {O(n)}
18: n_eval_ex2_bb2_in___16->n_eval_ex2_bb3_in___14, Arg_3: Arg_1+5 {O(n)}
19: n_eval_ex2_bb3_in___10->n_eval_ex2_5___8, Arg_0: Arg_0+Arg_1+4 {O(n)}
19: n_eval_ex2_bb3_in___10->n_eval_ex2_5___8, Arg_1: Arg_1 {O(n)}
19: n_eval_ex2_bb3_in___10->n_eval_ex2_5___8, Arg_2: Arg_1+4 {O(n)}
19: n_eval_ex2_bb3_in___10->n_eval_ex2_5___8, Arg_3: 2*Arg_1*Arg_1+9*Arg_1+6 {O(n^2)}
20: n_eval_ex2_bb3_in___14->n_eval_ex2_5___13, Arg_0: Arg_0+Arg_1+4 {O(n)}
20: n_eval_ex2_bb3_in___14->n_eval_ex2_5___13, Arg_1: Arg_1 {O(n)}
20: n_eval_ex2_bb3_in___14->n_eval_ex2_5___13, Arg_2: Arg_1+4 {O(n)}
20: n_eval_ex2_bb3_in___14->n_eval_ex2_5___13, Arg_3: Arg_1+5 {O(n)}
21: n_eval_ex2_bb4_in___9->n_eval_ex2_9___6, Arg_0: Arg_1+4 {O(n)}
21: n_eval_ex2_bb4_in___9->n_eval_ex2_9___6, Arg_1: Arg_1 {O(n)}
21: n_eval_ex2_bb4_in___9->n_eval_ex2_9___6, Arg_2: Arg_1+4 {O(n)}
21: n_eval_ex2_bb4_in___9->n_eval_ex2_9___6, Arg_3: 2*Arg_1*Arg_1+10*Arg_1+12 {O(n^2)}
22: n_eval_ex2_bb5_in___15->n_eval_ex2_stop___1, Arg_0: Arg_0 {O(n)}
22: n_eval_ex2_bb5_in___15->n_eval_ex2_stop___1, Arg_1: Arg_1 {O(n)}
22: n_eval_ex2_bb5_in___15->n_eval_ex2_stop___1, Arg_2: 1 {O(1)}
22: n_eval_ex2_bb5_in___15->n_eval_ex2_stop___1, Arg_3: Arg_3 {O(n)}
23: n_eval_ex2_bb5_in___3->n_eval_ex2_stop___2, Arg_0: Arg_1+4 {O(n)}
23: n_eval_ex2_bb5_in___3->n_eval_ex2_stop___2, Arg_1: Arg_1 {O(n)}
23: n_eval_ex2_bb5_in___3->n_eval_ex2_stop___2, Arg_2: Arg_1+4 {O(n)}
23: n_eval_ex2_bb5_in___3->n_eval_ex2_stop___2, Arg_3: 2*Arg_1*Arg_1+10*Arg_1+12 {O(n^2)}
24: n_eval_ex2_start->n_eval_ex2_bb0_in___23, Arg_0: Arg_0 {O(n)}
24: n_eval_ex2_start->n_eval_ex2_bb0_in___23, Arg_1: Arg_1 {O(n)}
24: n_eval_ex2_start->n_eval_ex2_bb0_in___23, Arg_2: Arg_2 {O(n)}
24: n_eval_ex2_start->n_eval_ex2_bb0_in___23, Arg_3: Arg_3 {O(n)}