Initial Problem

Start: n_evalEx2start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars:
Locations: n_evalEx2bb1in___11, n_evalEx2bb1in___8, n_evalEx2bb2in___12, n_evalEx2bb2in___9, n_evalEx2bb3in___10, n_evalEx2bb3in___16, n_evalEx2bbin___15, n_evalEx2bbin___7, n_evalEx2entryin___17, n_evalEx2returnin___13, n_evalEx2returnin___14, n_evalEx2returnin___5, n_evalEx2returnin___6, n_evalEx2start, n_evalEx2stop___1, n_evalEx2stop___2, n_evalEx2stop___3, n_evalEx2stop___4
Transitions:
0:n_evalEx2bb1in___11(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2bb2in___9(Arg_0,Arg_1,Arg_2+1,Arg_3-1):|:Arg_1<=Arg_3+1 && 1+Arg_3<=Arg_1 && Arg_0<=Arg_2+1 && 1+Arg_2<=Arg_0
1:n_evalEx2bb1in___8(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2bb2in___9(Arg_0,Arg_1,Arg_2+1,Arg_3-1)
2:n_evalEx2bb2in___12(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2bb1in___11(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=1+Arg_3 && 1+Arg_3<=Arg_1 && Arg_0<=1+Arg_2 && 1+Arg_2<=Arg_0
3:n_evalEx2bb2in___12(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2bb1in___11(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=1+Arg_3 && 1+Arg_3<=Arg_1 && Arg_0<=1+Arg_2 && 1+Arg_2<=Arg_0
4:n_evalEx2bb2in___12(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2bb3in___10(Arg_2,Arg_3,Arg_2,Arg_3):|:Arg_1<=1+Arg_3 && 1+Arg_3<=Arg_1 && Arg_0<=1+Arg_2 && 1+Arg_2<=Arg_0
5:n_evalEx2bb2in___9(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2bb1in___8(Arg_0,Arg_1,Arg_2,Arg_3)
6:n_evalEx2bb2in___9(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2bb1in___8(Arg_0,Arg_1,Arg_2,Arg_3)
7:n_evalEx2bb2in___9(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2bb3in___10(Arg_2,Arg_3,Arg_2,Arg_3)
8:n_evalEx2bb3in___10(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2bbin___7(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=Arg_3 && Arg_3<=Arg_1 && Arg_0<=Arg_2 && Arg_2<=Arg_0 && 1<=Arg_0 && 1<=Arg_1
9:n_evalEx2bb3in___10(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2returnin___5(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=Arg_3 && Arg_3<=Arg_1 && Arg_0<=Arg_2 && Arg_2<=Arg_0 && Arg_0<=0
10:n_evalEx2bb3in___10(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2returnin___6(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=Arg_3 && Arg_3<=Arg_1 && Arg_0<=Arg_2 && Arg_2<=Arg_0 && Arg_1<=0
11:n_evalEx2bb3in___16(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2bbin___15(Arg_0,Arg_1,Arg_2,Arg_3):|:1<=Arg_0 && 1<=Arg_1
12:n_evalEx2bb3in___16(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2returnin___13(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_0<=0
13:n_evalEx2bb3in___16(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2returnin___14(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=0
14:n_evalEx2bbin___15(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2bb2in___12(Arg_0,Arg_1,Arg_0-1,Arg_1-1):|:1<=Arg_1 && 1<=Arg_0
15:n_evalEx2bbin___7(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2bb2in___12(Arg_0,Arg_1,Arg_0-1,Arg_1-1):|:1<=Arg_1 && 1<=Arg_0 && Arg_1<=Arg_3 && Arg_3<=Arg_1 && Arg_0<=Arg_2 && Arg_2<=Arg_0
16:n_evalEx2entryin___17(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2bb3in___16(Arg_1,Arg_0,Arg_2,Arg_3)
17:n_evalEx2returnin___13(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2stop___1(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_0<=0
18:n_evalEx2returnin___14(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2stop___2(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=0
19:n_evalEx2returnin___5(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2stop___3(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_0<=0 && Arg_1<=Arg_3 && Arg_3<=Arg_1 && Arg_0<=Arg_2 && Arg_2<=Arg_0
20:n_evalEx2returnin___6(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2stop___4(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=0 && Arg_1<=Arg_3 && Arg_3<=Arg_1 && Arg_0<=Arg_2 && Arg_2<=Arg_0
21:n_evalEx2start(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2entryin___17(Arg_0,Arg_1,Arg_2,Arg_3)

Preprocessing

Found invariant Arg_3<=Arg_1 && 0<=Arg_2+Arg_3 && Arg_1<=Arg_3 && 0<=Arg_0+Arg_3 && Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 0<=Arg_0+Arg_1 && 0<=Arg_0 for location n_evalEx2bb3in___10

Found invariant 1+Arg_3<=Arg_1 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && Arg_1<=1+Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location n_evalEx2bb1in___11

Found invariant 1+Arg_3<=Arg_1 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && Arg_1<=1+Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location n_evalEx2bb2in___12

Found invariant Arg_3<=Arg_1 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 2<=Arg_0+Arg_3 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location n_evalEx2bbin___7

Found invariant 2+Arg_3<=Arg_1 && 0<=Arg_2+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location n_evalEx2bb1in___8

Found invariant 2+Arg_3<=Arg_1 && 0<=Arg_2+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location n_evalEx2bb2in___9

Found invariant Arg_3<=0 && Arg_3<=Arg_2 && Arg_3<=Arg_1 && Arg_1+Arg_3<=0 && Arg_3<=Arg_0 && 0<=Arg_2+Arg_3 && Arg_1<=Arg_3 && 0<=Arg_0+Arg_3 && Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=0 && Arg_1<=Arg_0 && 0<=Arg_0+Arg_1 && 0<=Arg_0 for location n_evalEx2stop___4

Found invariant Arg_3<=0 && Arg_3<=Arg_2 && Arg_3<=Arg_1 && Arg_1+Arg_3<=0 && Arg_3<=Arg_0 && 0<=Arg_2+Arg_3 && Arg_1<=Arg_3 && 0<=Arg_0+Arg_3 && Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=0 && Arg_1<=Arg_0 && 0<=Arg_0+Arg_1 && 0<=Arg_0 for location n_evalEx2returnin___6

Found invariant Arg_3<=Arg_1 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 0<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 0<=Arg_0+Arg_3 && Arg_0<=Arg_3 && Arg_2<=0 && Arg_2<=Arg_1 && Arg_2<=Arg_0 && Arg_0+Arg_2<=0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 for location n_evalEx2stop___3

Found invariant Arg_0<=0 for location n_evalEx2returnin___13

Found invariant Arg_1<=0 for location n_evalEx2returnin___14

Found invariant 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location n_evalEx2bbin___15

Found invariant Arg_3<=Arg_1 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 0<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 0<=Arg_0+Arg_3 && Arg_0<=Arg_3 && Arg_2<=0 && Arg_2<=Arg_1 && Arg_2<=Arg_0 && Arg_0+Arg_2<=0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 for location n_evalEx2returnin___5

Found invariant Arg_1<=0 for location n_evalEx2stop___2

Found invariant Arg_0<=0 for location n_evalEx2stop___1

Problem after Preprocessing

Start: n_evalEx2start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars:
Locations: n_evalEx2bb1in___11, n_evalEx2bb1in___8, n_evalEx2bb2in___12, n_evalEx2bb2in___9, n_evalEx2bb3in___10, n_evalEx2bb3in___16, n_evalEx2bbin___15, n_evalEx2bbin___7, n_evalEx2entryin___17, n_evalEx2returnin___13, n_evalEx2returnin___14, n_evalEx2returnin___5, n_evalEx2returnin___6, n_evalEx2start, n_evalEx2stop___1, n_evalEx2stop___2, n_evalEx2stop___3, n_evalEx2stop___4
Transitions:
0:n_evalEx2bb1in___11(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2bb2in___9(Arg_0,Arg_1,Arg_2+1,Arg_3-1):|:1+Arg_3<=Arg_1 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && Arg_1<=1+Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_1<=Arg_3+1 && 1+Arg_3<=Arg_1 && Arg_0<=Arg_2+1 && 1+Arg_2<=Arg_0
1:n_evalEx2bb1in___8(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2bb2in___9(Arg_0,Arg_1,Arg_2+1,Arg_3-1):|:2+Arg_3<=Arg_1 && 0<=Arg_2+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0
2:n_evalEx2bb2in___12(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2bb1in___11(Arg_0,Arg_1,Arg_2,Arg_3):|:1+Arg_3<=Arg_1 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && Arg_1<=1+Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_1<=1+Arg_3 && 1+Arg_3<=Arg_1 && Arg_0<=1+Arg_2 && 1+Arg_2<=Arg_0
3:n_evalEx2bb2in___12(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2bb1in___11(Arg_0,Arg_1,Arg_2,Arg_3):|:1+Arg_3<=Arg_1 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && Arg_1<=1+Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_1<=1+Arg_3 && 1+Arg_3<=Arg_1 && Arg_0<=1+Arg_2 && 1+Arg_2<=Arg_0
4:n_evalEx2bb2in___12(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2bb3in___10(Arg_2,Arg_3,Arg_2,Arg_3):|:1+Arg_3<=Arg_1 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && Arg_1<=1+Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_1<=1+Arg_3 && 1+Arg_3<=Arg_1 && Arg_0<=1+Arg_2 && 1+Arg_2<=Arg_0
5:n_evalEx2bb2in___9(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2bb1in___8(Arg_0,Arg_1,Arg_2,Arg_3):|:2+Arg_3<=Arg_1 && 0<=Arg_2+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0
6:n_evalEx2bb2in___9(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2bb1in___8(Arg_0,Arg_1,Arg_2,Arg_3):|:2+Arg_3<=Arg_1 && 0<=Arg_2+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0
7:n_evalEx2bb2in___9(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2bb3in___10(Arg_2,Arg_3,Arg_2,Arg_3):|:2+Arg_3<=Arg_1 && 0<=Arg_2+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0
8:n_evalEx2bb3in___10(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2bbin___7(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_1 && 0<=Arg_2+Arg_3 && Arg_1<=Arg_3 && 0<=Arg_0+Arg_3 && Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_1<=Arg_3 && Arg_3<=Arg_1 && Arg_0<=Arg_2 && Arg_2<=Arg_0 && 1<=Arg_0 && 1<=Arg_1
9:n_evalEx2bb3in___10(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2returnin___5(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_1 && 0<=Arg_2+Arg_3 && Arg_1<=Arg_3 && 0<=Arg_0+Arg_3 && Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_1<=Arg_3 && Arg_3<=Arg_1 && Arg_0<=Arg_2 && Arg_2<=Arg_0 && Arg_0<=0
10:n_evalEx2bb3in___10(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2returnin___6(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_1 && 0<=Arg_2+Arg_3 && Arg_1<=Arg_3 && 0<=Arg_0+Arg_3 && Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_1<=Arg_3 && Arg_3<=Arg_1 && Arg_0<=Arg_2 && Arg_2<=Arg_0 && Arg_1<=0
11:n_evalEx2bb3in___16(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2bbin___15(Arg_0,Arg_1,Arg_2,Arg_3):|:1<=Arg_0 && 1<=Arg_1
12:n_evalEx2bb3in___16(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2returnin___13(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_0<=0
13:n_evalEx2bb3in___16(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2returnin___14(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=0
14:n_evalEx2bbin___15(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2bb2in___12(Arg_0,Arg_1,Arg_0-1,Arg_1-1):|:1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && 1<=Arg_1 && 1<=Arg_0
15:n_evalEx2bbin___7(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2bb2in___12(Arg_0,Arg_1,Arg_0-1,Arg_1-1):|:Arg_3<=Arg_1 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 2<=Arg_0+Arg_3 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && 1<=Arg_1 && 1<=Arg_0 && Arg_1<=Arg_3 && Arg_3<=Arg_1 && Arg_0<=Arg_2 && Arg_2<=Arg_0
16:n_evalEx2entryin___17(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2bb3in___16(Arg_1,Arg_0,Arg_2,Arg_3)
17:n_evalEx2returnin___13(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2stop___1(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_0<=0 && Arg_0<=0
18:n_evalEx2returnin___14(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2stop___2(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=0 && Arg_1<=0
19:n_evalEx2returnin___5(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2stop___3(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_1 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 0<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 0<=Arg_0+Arg_3 && Arg_0<=Arg_3 && Arg_2<=0 && Arg_2<=Arg_1 && Arg_2<=Arg_0 && Arg_0+Arg_2<=0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && Arg_0<=0 && Arg_1<=Arg_3 && Arg_3<=Arg_1 && Arg_0<=Arg_2 && Arg_2<=Arg_0
20:n_evalEx2returnin___6(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2stop___4(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=0 && Arg_3<=Arg_2 && Arg_3<=Arg_1 && Arg_1+Arg_3<=0 && Arg_3<=Arg_0 && 0<=Arg_2+Arg_3 && Arg_1<=Arg_3 && 0<=Arg_0+Arg_3 && Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=0 && Arg_1<=Arg_0 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_1<=0 && Arg_1<=Arg_3 && Arg_3<=Arg_1 && Arg_0<=Arg_2 && Arg_2<=Arg_0
21:n_evalEx2start(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2entryin___17(Arg_0,Arg_1,Arg_2,Arg_3)

MPRF for transition 0:n_evalEx2bb1in___11(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2bb2in___9(Arg_0,Arg_1,Arg_2+1,Arg_3-1):|:1+Arg_3<=Arg_1 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && Arg_1<=1+Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_1<=Arg_3+1 && 1+Arg_3<=Arg_1 && Arg_0<=Arg_2+1 && 1+Arg_2<=Arg_0 of depth 1:

new bound:

Arg_0+1 {O(n)}

MPRF:

n_evalEx2bb1in___11 [Arg_3+1 ]
n_evalEx2bb1in___8 [Arg_1-1 ]
n_evalEx2bb2in___9 [Arg_1-1 ]
n_evalEx2bb3in___10 [Arg_1 ]
n_evalEx2bbin___7 [Arg_1 ]
n_evalEx2bb2in___12 [Arg_3+1 ]

MPRF for transition 2:n_evalEx2bb2in___12(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2bb1in___11(Arg_0,Arg_1,Arg_2,Arg_3):|:1+Arg_3<=Arg_1 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && Arg_1<=1+Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_1<=1+Arg_3 && 1+Arg_3<=Arg_1 && Arg_0<=1+Arg_2 && 1+Arg_2<=Arg_0 of depth 1:

new bound:

Arg_0 {O(n)}

MPRF:

n_evalEx2bb1in___11 [Arg_1-2 ]
n_evalEx2bb1in___8 [Arg_1-2 ]
n_evalEx2bb2in___9 [Arg_1-2 ]
n_evalEx2bb3in___10 [Arg_1 ]
n_evalEx2bbin___7 [Arg_1 ]
n_evalEx2bb2in___12 [Arg_1 ]

MPRF for transition 3:n_evalEx2bb2in___12(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2bb1in___11(Arg_0,Arg_1,Arg_2,Arg_3):|:1+Arg_3<=Arg_1 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && Arg_1<=1+Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_1<=1+Arg_3 && 1+Arg_3<=Arg_1 && Arg_0<=1+Arg_2 && 1+Arg_2<=Arg_0 of depth 1:

new bound:

Arg_0 {O(n)}

MPRF:

n_evalEx2bb1in___11 [Arg_1-2 ]
n_evalEx2bb1in___8 [Arg_1-2 ]
n_evalEx2bb2in___9 [Arg_1-2 ]
n_evalEx2bb3in___10 [Arg_1 ]
n_evalEx2bbin___7 [Arg_1 ]
n_evalEx2bb2in___12 [Arg_1 ]

MPRF for transition 4:n_evalEx2bb2in___12(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2bb3in___10(Arg_2,Arg_3,Arg_2,Arg_3):|:1+Arg_3<=Arg_1 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && Arg_1<=1+Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_1<=1+Arg_3 && 1+Arg_3<=Arg_1 && Arg_0<=1+Arg_2 && 1+Arg_2<=Arg_0 of depth 1:

new bound:

Arg_0+Arg_1 {O(n)}

MPRF:

n_evalEx2bb1in___11 [Arg_2+Arg_3 ]
n_evalEx2bb1in___8 [Arg_2+Arg_3 ]
n_evalEx2bb2in___9 [Arg_2+Arg_3 ]
n_evalEx2bb3in___10 [Arg_2+Arg_3-1 ]
n_evalEx2bbin___7 [Arg_1+Arg_2-1 ]
n_evalEx2bb2in___12 [Arg_0+Arg_3 ]

MPRF for transition 7:n_evalEx2bb2in___9(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2bb3in___10(Arg_2,Arg_3,Arg_2,Arg_3):|:2+Arg_3<=Arg_1 && 0<=Arg_2+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 of depth 1:

new bound:

Arg_0+1 {O(n)}

MPRF:

n_evalEx2bb1in___11 [Arg_3+1 ]
n_evalEx2bb1in___8 [Arg_1 ]
n_evalEx2bb2in___9 [Arg_1 ]
n_evalEx2bb3in___10 [Arg_3 ]
n_evalEx2bbin___7 [Arg_1 ]
n_evalEx2bb2in___12 [Arg_3+1 ]

MPRF for transition 8:n_evalEx2bb3in___10(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2bbin___7(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_1 && 0<=Arg_2+Arg_3 && Arg_1<=Arg_3 && 0<=Arg_0+Arg_3 && Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_1<=Arg_3 && Arg_3<=Arg_1 && Arg_0<=Arg_2 && Arg_2<=Arg_0 && 1<=Arg_0 && 1<=Arg_1 of depth 1:

new bound:

Arg_0 {O(n)}

MPRF:

n_evalEx2bb1in___11 [Arg_3+1 ]
n_evalEx2bb1in___8 [Arg_1 ]
n_evalEx2bb2in___9 [Arg_1 ]
n_evalEx2bb3in___10 [Arg_3+1 ]
n_evalEx2bbin___7 [Arg_3 ]
n_evalEx2bb2in___12 [Arg_1 ]

MPRF for transition 15:n_evalEx2bbin___7(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalEx2bb2in___12(Arg_0,Arg_1,Arg_0-1,Arg_1-1):|:Arg_3<=Arg_1 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 2<=Arg_0+Arg_3 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && 1<=Arg_1 && 1<=Arg_0 && Arg_1<=Arg_3 && Arg_3<=Arg_1 && Arg_0<=Arg_2 && Arg_2<=Arg_0 of depth 1:

new bound:

Arg_0 {O(n)}

MPRF:

n_evalEx2bb1in___11 [Arg_0+Arg_3-Arg_2 ]
n_evalEx2bb1in___8 [Arg_1 ]
n_evalEx2bb2in___9 [Arg_1 ]
n_evalEx2bb3in___10 [Arg_3+1 ]
n_evalEx2bbin___7 [Arg_1+1 ]
n_evalEx2bb2in___12 [Arg_1 ]

All Bounds

Timebounds

Overall timebound:inf {Infinity}
0: n_evalEx2bb1in___11->n_evalEx2bb2in___9: Arg_0+1 {O(n)}
1: n_evalEx2bb1in___8->n_evalEx2bb2in___9: inf {Infinity}
2: n_evalEx2bb2in___12->n_evalEx2bb1in___11: Arg_0 {O(n)}
3: n_evalEx2bb2in___12->n_evalEx2bb1in___11: Arg_0 {O(n)}
4: n_evalEx2bb2in___12->n_evalEx2bb3in___10: Arg_0+Arg_1 {O(n)}
5: n_evalEx2bb2in___9->n_evalEx2bb1in___8: inf {Infinity}
6: n_evalEx2bb2in___9->n_evalEx2bb1in___8: inf {Infinity}
7: n_evalEx2bb2in___9->n_evalEx2bb3in___10: Arg_0+1 {O(n)}
8: n_evalEx2bb3in___10->n_evalEx2bbin___7: Arg_0 {O(n)}
9: n_evalEx2bb3in___10->n_evalEx2returnin___5: 1 {O(1)}
10: n_evalEx2bb3in___10->n_evalEx2returnin___6: 1 {O(1)}
11: n_evalEx2bb3in___16->n_evalEx2bbin___15: 1 {O(1)}
12: n_evalEx2bb3in___16->n_evalEx2returnin___13: 1 {O(1)}
13: n_evalEx2bb3in___16->n_evalEx2returnin___14: 1 {O(1)}
14: n_evalEx2bbin___15->n_evalEx2bb2in___12: 1 {O(1)}
15: n_evalEx2bbin___7->n_evalEx2bb2in___12: Arg_0 {O(n)}
16: n_evalEx2entryin___17->n_evalEx2bb3in___16: 1 {O(1)}
17: n_evalEx2returnin___13->n_evalEx2stop___1: 1 {O(1)}
18: n_evalEx2returnin___14->n_evalEx2stop___2: 1 {O(1)}
19: n_evalEx2returnin___5->n_evalEx2stop___3: 1 {O(1)}
20: n_evalEx2returnin___6->n_evalEx2stop___4: 1 {O(1)}
21: n_evalEx2start->n_evalEx2entryin___17: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
0: n_evalEx2bb1in___11->n_evalEx2bb2in___9: Arg_0+1 {O(n)}
1: n_evalEx2bb1in___8->n_evalEx2bb2in___9: inf {Infinity}
2: n_evalEx2bb2in___12->n_evalEx2bb1in___11: Arg_0 {O(n)}
3: n_evalEx2bb2in___12->n_evalEx2bb1in___11: Arg_0 {O(n)}
4: n_evalEx2bb2in___12->n_evalEx2bb3in___10: Arg_0+Arg_1 {O(n)}
5: n_evalEx2bb2in___9->n_evalEx2bb1in___8: inf {Infinity}
6: n_evalEx2bb2in___9->n_evalEx2bb1in___8: inf {Infinity}
7: n_evalEx2bb2in___9->n_evalEx2bb3in___10: Arg_0+1 {O(n)}
8: n_evalEx2bb3in___10->n_evalEx2bbin___7: Arg_0 {O(n)}
9: n_evalEx2bb3in___10->n_evalEx2returnin___5: 1 {O(1)}
10: n_evalEx2bb3in___10->n_evalEx2returnin___6: 1 {O(1)}
11: n_evalEx2bb3in___16->n_evalEx2bbin___15: 1 {O(1)}
12: n_evalEx2bb3in___16->n_evalEx2returnin___13: 1 {O(1)}
13: n_evalEx2bb3in___16->n_evalEx2returnin___14: 1 {O(1)}
14: n_evalEx2bbin___15->n_evalEx2bb2in___12: 1 {O(1)}
15: n_evalEx2bbin___7->n_evalEx2bb2in___12: Arg_0 {O(n)}
16: n_evalEx2entryin___17->n_evalEx2bb3in___16: 1 {O(1)}
17: n_evalEx2returnin___13->n_evalEx2stop___1: 1 {O(1)}
18: n_evalEx2returnin___14->n_evalEx2stop___2: 1 {O(1)}
19: n_evalEx2returnin___5->n_evalEx2stop___3: 1 {O(1)}
20: n_evalEx2returnin___6->n_evalEx2stop___4: 1 {O(1)}
21: n_evalEx2start->n_evalEx2entryin___17: 1 {O(1)}

Sizebounds

9: n_evalEx2bb3in___10->n_evalEx2returnin___5, Arg_0: 0 {O(1)}
9: n_evalEx2bb3in___10->n_evalEx2returnin___5, Arg_2: 0 {O(1)}
11: n_evalEx2bb3in___16->n_evalEx2bbin___15, Arg_0: Arg_1 {O(n)}
11: n_evalEx2bb3in___16->n_evalEx2bbin___15, Arg_1: Arg_0 {O(n)}
11: n_evalEx2bb3in___16->n_evalEx2bbin___15, Arg_2: Arg_2 {O(n)}
11: n_evalEx2bb3in___16->n_evalEx2bbin___15, Arg_3: Arg_3 {O(n)}
12: n_evalEx2bb3in___16->n_evalEx2returnin___13, Arg_0: Arg_1 {O(n)}
12: n_evalEx2bb3in___16->n_evalEx2returnin___13, Arg_1: Arg_0 {O(n)}
12: n_evalEx2bb3in___16->n_evalEx2returnin___13, Arg_2: Arg_2 {O(n)}
12: n_evalEx2bb3in___16->n_evalEx2returnin___13, Arg_3: Arg_3 {O(n)}
13: n_evalEx2bb3in___16->n_evalEx2returnin___14, Arg_0: Arg_1 {O(n)}
13: n_evalEx2bb3in___16->n_evalEx2returnin___14, Arg_1: Arg_0 {O(n)}
13: n_evalEx2bb3in___16->n_evalEx2returnin___14, Arg_2: Arg_2 {O(n)}
13: n_evalEx2bb3in___16->n_evalEx2returnin___14, Arg_3: Arg_3 {O(n)}
14: n_evalEx2bbin___15->n_evalEx2bb2in___12, Arg_0: Arg_1 {O(n)}
14: n_evalEx2bbin___15->n_evalEx2bb2in___12, Arg_1: Arg_0 {O(n)}
14: n_evalEx2bbin___15->n_evalEx2bb2in___12, Arg_2: Arg_1 {O(n)}
14: n_evalEx2bbin___15->n_evalEx2bb2in___12, Arg_3: Arg_0 {O(n)}
16: n_evalEx2entryin___17->n_evalEx2bb3in___16, Arg_0: Arg_1 {O(n)}
16: n_evalEx2entryin___17->n_evalEx2bb3in___16, Arg_1: Arg_0 {O(n)}
16: n_evalEx2entryin___17->n_evalEx2bb3in___16, Arg_2: Arg_2 {O(n)}
16: n_evalEx2entryin___17->n_evalEx2bb3in___16, Arg_3: Arg_3 {O(n)}
17: n_evalEx2returnin___13->n_evalEx2stop___1, Arg_0: Arg_1 {O(n)}
17: n_evalEx2returnin___13->n_evalEx2stop___1, Arg_1: Arg_0 {O(n)}
17: n_evalEx2returnin___13->n_evalEx2stop___1, Arg_2: Arg_2 {O(n)}
17: n_evalEx2returnin___13->n_evalEx2stop___1, Arg_3: Arg_3 {O(n)}
18: n_evalEx2returnin___14->n_evalEx2stop___2, Arg_0: Arg_1 {O(n)}
18: n_evalEx2returnin___14->n_evalEx2stop___2, Arg_1: Arg_0 {O(n)}
18: n_evalEx2returnin___14->n_evalEx2stop___2, Arg_2: Arg_2 {O(n)}
18: n_evalEx2returnin___14->n_evalEx2stop___2, Arg_3: Arg_3 {O(n)}
19: n_evalEx2returnin___5->n_evalEx2stop___3, Arg_0: 0 {O(1)}
19: n_evalEx2returnin___5->n_evalEx2stop___3, Arg_2: 0 {O(1)}
21: n_evalEx2start->n_evalEx2entryin___17, Arg_0: Arg_0 {O(n)}
21: n_evalEx2start->n_evalEx2entryin___17, Arg_1: Arg_1 {O(n)}
21: n_evalEx2start->n_evalEx2entryin___17, Arg_2: Arg_2 {O(n)}
21: n_evalEx2start->n_evalEx2entryin___17, Arg_3: Arg_3 {O(n)}