Initial Problem
Start: n_evalSimpleMultiplestart
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars:
Locations: n_evalSimpleMultiplebb1in___11, n_evalSimpleMultiplebb1in___7, n_evalSimpleMultiplebb2in___10, n_evalSimpleMultiplebb2in___6, n_evalSimpleMultiplebb3in___14, n_evalSimpleMultiplebb3in___5, n_evalSimpleMultiplebb3in___9, n_evalSimpleMultiplebbin___13, n_evalSimpleMultiplebbin___4, n_evalSimpleMultiplebbin___8, n_evalSimpleMultipleentryin___15, n_evalSimpleMultiplereturnin___12, n_evalSimpleMultiplereturnin___3, n_evalSimpleMultiplestart, n_evalSimpleMultiplestop___1, n_evalSimpleMultiplestop___2
Transitions:
0:n_evalSimpleMultiplebb1in___11(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalSimpleMultiplebb3in___9(Arg_0+1,Arg_1,Arg_2,Arg_3):|:1<=Arg_3 && 1<=Arg_2 && Arg_0<=0 && 0<=Arg_0 && Arg_1<=0 && 0<=Arg_1
1:n_evalSimpleMultiplebb1in___7(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalSimpleMultiplebb3in___9(Arg_0+1,Arg_1,Arg_2,Arg_3):|:1+Arg_0<=Arg_3 && 1+Arg_1<=Arg_2
2:n_evalSimpleMultiplebb2in___10(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalSimpleMultiplebb3in___5(Arg_0,Arg_1+1,Arg_2,Arg_3):|:Arg_3<=0 && 1<=Arg_2 && Arg_0<=0 && 0<=Arg_0 && Arg_1<=0 && 0<=Arg_1
3:n_evalSimpleMultiplebb2in___6(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalSimpleMultiplebb3in___5(Arg_0,Arg_1+1,Arg_2,Arg_3):|:1+Arg_1<=Arg_2 && Arg_3<=Arg_0
4:n_evalSimpleMultiplebb3in___14(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalSimpleMultiplebbin___13(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=0 && 0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && 1+Arg_1<=Arg_2
5:n_evalSimpleMultiplebb3in___14(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalSimpleMultiplereturnin___12(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=0 && 0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && Arg_2<=Arg_1
6:n_evalSimpleMultiplebb3in___5(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalSimpleMultiplebbin___4(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_0 && 1+Arg_1<=Arg_2
7:n_evalSimpleMultiplebb3in___5(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalSimpleMultiplereturnin___3(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_0 && Arg_2<=Arg_1
8:n_evalSimpleMultiplebb3in___9(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalSimpleMultiplebbin___8(Arg_0,Arg_1,Arg_2,Arg_3):|:1+Arg_1<=Arg_2 && 1+Arg_1<=Arg_2 && 1+Arg_1<=Arg_2
9:n_evalSimpleMultiplebbin___13(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalSimpleMultiplebb1in___11(Arg_0,Arg_1,Arg_2,Arg_3):|:1<=Arg_2 && Arg_0<=0 && 0<=Arg_0 && Arg_1<=0 && 0<=Arg_1 && 1+Arg_0<=Arg_3
10:n_evalSimpleMultiplebbin___13(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalSimpleMultiplebb2in___10(Arg_0,Arg_1,Arg_2,Arg_3):|:1<=Arg_2 && Arg_0<=0 && 0<=Arg_0 && Arg_1<=0 && 0<=Arg_1 && Arg_3<=Arg_0
11:n_evalSimpleMultiplebbin___4(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalSimpleMultiplebb2in___6(Arg_0,Arg_1,Arg_2,Arg_3):|:1+Arg_1<=Arg_2 && Arg_3<=Arg_0 && Arg_3<=Arg_0
12:n_evalSimpleMultiplebbin___8(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalSimpleMultiplebb1in___7(Arg_0,Arg_1,Arg_2,Arg_3):|:1+Arg_1<=Arg_2 && 1+Arg_0<=Arg_3
13:n_evalSimpleMultiplebbin___8(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalSimpleMultiplebb2in___6(Arg_0,Arg_1,Arg_2,Arg_3):|:1+Arg_1<=Arg_2 && Arg_3<=Arg_0
14:n_evalSimpleMultipleentryin___15(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalSimpleMultiplebb3in___14(0,0,Arg_2,Arg_3)
15:n_evalSimpleMultiplereturnin___12(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalSimpleMultiplestop___1(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<=0 && Arg_0<=0 && 0<=Arg_0 && Arg_1<=0 && 0<=Arg_1
16:n_evalSimpleMultiplereturnin___3(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalSimpleMultiplestop___2(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<=Arg_1 && Arg_3<=Arg_0
17:n_evalSimpleMultiplestart(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalSimpleMultipleentryin___15(Arg_0,Arg_1,Arg_2,Arg_3)
Preprocessing
Found invariant Arg_3<=Arg_0 && 1<=Arg_2 && 1<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 for location n_evalSimpleMultiplebb2in___6
Found invariant Arg_2<=0 && Arg_2<=Arg_1 && Arg_1+Arg_2<=0 && Arg_2<=Arg_0 && Arg_0+Arg_2<=0 && Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 for location n_evalSimpleMultiplestop___1
Found invariant 1<=Arg_2 && 1<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 for location n_evalSimpleMultiplebbin___13
Found invariant Arg_3<=0 && 1+Arg_3<=Arg_2 && Arg_3<=Arg_1 && Arg_1+Arg_3<=0 && Arg_3<=Arg_0 && Arg_0+Arg_3<=0 && 1<=Arg_2 && 1<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 for location n_evalSimpleMultiplebb2in___10
Found invariant 1<=Arg_3 && 2<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1<=Arg_2 && 1<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 for location n_evalSimpleMultiplebb1in___11
Found invariant Arg_3<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 for location n_evalSimpleMultiplebb3in___5
Found invariant Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 for location n_evalSimpleMultiplebb3in___14
Found invariant 2<=Arg_3 && 3<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && 2+Arg_1<=Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1<=Arg_2 && 1<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 2<=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_evalSimpleMultiplebb1in___7
Found invariant Arg_3<=Arg_0 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 for location n_evalSimpleMultiplebbin___4
Found invariant 1<=Arg_3 && 2<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && 2<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_2 && 1<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 2<=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_evalSimpleMultiplebb3in___9
Found invariant Arg_2<=0 && Arg_2<=Arg_1 && Arg_1+Arg_2<=0 && Arg_2<=Arg_0 && Arg_0+Arg_2<=0 && Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 for location n_evalSimpleMultiplereturnin___12
Found invariant Arg_3<=Arg_0 && Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 for location n_evalSimpleMultiplereturnin___3
Found invariant 1<=Arg_3 && 2<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && 2<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_2 && 1<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 2<=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_evalSimpleMultiplebbin___8
Found invariant Arg_3<=Arg_0 && Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 for location n_evalSimpleMultiplestop___2
Problem after Preprocessing
Start: n_evalSimpleMultiplestart
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars:
Locations: n_evalSimpleMultiplebb1in___11, n_evalSimpleMultiplebb1in___7, n_evalSimpleMultiplebb2in___10, n_evalSimpleMultiplebb2in___6, n_evalSimpleMultiplebb3in___14, n_evalSimpleMultiplebb3in___5, n_evalSimpleMultiplebb3in___9, n_evalSimpleMultiplebbin___13, n_evalSimpleMultiplebbin___4, n_evalSimpleMultiplebbin___8, n_evalSimpleMultipleentryin___15, n_evalSimpleMultiplereturnin___12, n_evalSimpleMultiplereturnin___3, n_evalSimpleMultiplestart, n_evalSimpleMultiplestop___1, n_evalSimpleMultiplestop___2
Transitions:
0:n_evalSimpleMultiplebb1in___11(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalSimpleMultiplebb3in___9(Arg_0+1,Arg_1,Arg_2,Arg_3):|:1<=Arg_3 && 2<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1<=Arg_2 && 1<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && 1<=Arg_3 && 1<=Arg_2 && Arg_0<=0 && 0<=Arg_0 && Arg_1<=0 && 0<=Arg_1
1:n_evalSimpleMultiplebb1in___7(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalSimpleMultiplebb3in___9(Arg_0+1,Arg_1,Arg_2,Arg_3):|:2<=Arg_3 && 3<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && 2+Arg_1<=Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1<=Arg_2 && 1<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_1<=0 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 && 1+Arg_0<=Arg_3 && 1+Arg_1<=Arg_2
2:n_evalSimpleMultiplebb2in___10(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalSimpleMultiplebb3in___5(Arg_0,Arg_1+1,Arg_2,Arg_3):|:Arg_3<=0 && 1+Arg_3<=Arg_2 && Arg_3<=Arg_1 && Arg_1+Arg_3<=0 && Arg_3<=Arg_0 && Arg_0+Arg_3<=0 && 1<=Arg_2 && 1<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && Arg_3<=0 && 1<=Arg_2 && Arg_0<=0 && 0<=Arg_0 && Arg_1<=0 && 0<=Arg_1
3:n_evalSimpleMultiplebb2in___6(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalSimpleMultiplebb3in___5(Arg_0,Arg_1+1,Arg_2,Arg_3):|:Arg_3<=Arg_0 && 1<=Arg_2 && 1<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && 1+Arg_1<=Arg_2 && Arg_3<=Arg_0
4:n_evalSimpleMultiplebb3in___14(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalSimpleMultiplebbin___13(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && Arg_1<=0 && 0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && 1+Arg_1<=Arg_2
5:n_evalSimpleMultiplebb3in___14(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalSimpleMultiplereturnin___12(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && Arg_1<=0 && 0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && Arg_2<=Arg_1
6:n_evalSimpleMultiplebb3in___5(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalSimpleMultiplebbin___4(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_3<=Arg_0 && 1+Arg_1<=Arg_2
7:n_evalSimpleMultiplebb3in___5(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalSimpleMultiplereturnin___3(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_3<=Arg_0 && Arg_2<=Arg_1
8:n_evalSimpleMultiplebb3in___9(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalSimpleMultiplebbin___8(Arg_0,Arg_1,Arg_2,Arg_3):|:1<=Arg_3 && 2<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && 2<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_2 && 1<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_1<=0 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 && 1+Arg_1<=Arg_2 && 1+Arg_1<=Arg_2 && 1+Arg_1<=Arg_2
9:n_evalSimpleMultiplebbin___13(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalSimpleMultiplebb1in___11(Arg_0,Arg_1,Arg_2,Arg_3):|:1<=Arg_2 && 1<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && 1<=Arg_2 && Arg_0<=0 && 0<=Arg_0 && Arg_1<=0 && 0<=Arg_1 && 1+Arg_0<=Arg_3
10:n_evalSimpleMultiplebbin___13(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalSimpleMultiplebb2in___10(Arg_0,Arg_1,Arg_2,Arg_3):|:1<=Arg_2 && 1<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && 1<=Arg_2 && Arg_0<=0 && 0<=Arg_0 && Arg_1<=0 && 0<=Arg_1 && Arg_3<=Arg_0
11:n_evalSimpleMultiplebbin___4(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalSimpleMultiplebb2in___6(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_0 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && 1+Arg_1<=Arg_2 && Arg_3<=Arg_0 && Arg_3<=Arg_0
12:n_evalSimpleMultiplebbin___8(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalSimpleMultiplebb1in___7(Arg_0,Arg_1,Arg_2,Arg_3):|:1<=Arg_3 && 2<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && 2<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_2 && 1<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_1<=0 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 && 1+Arg_1<=Arg_2 && 1+Arg_0<=Arg_3
13:n_evalSimpleMultiplebbin___8(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalSimpleMultiplebb2in___6(Arg_0,Arg_1,Arg_2,Arg_3):|:1<=Arg_3 && 2<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && 2<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_2 && 1<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_1<=0 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 && 1+Arg_1<=Arg_2 && Arg_3<=Arg_0
14:n_evalSimpleMultipleentryin___15(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalSimpleMultiplebb3in___14(0,0,Arg_2,Arg_3)
15:n_evalSimpleMultiplereturnin___12(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalSimpleMultiplestop___1(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<=0 && Arg_2<=Arg_1 && Arg_1+Arg_2<=0 && Arg_2<=Arg_0 && Arg_0+Arg_2<=0 && Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && Arg_2<=0 && Arg_0<=0 && 0<=Arg_0 && Arg_1<=0 && 0<=Arg_1
16:n_evalSimpleMultiplereturnin___3(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalSimpleMultiplestop___2(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_0 && Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_2<=Arg_1 && Arg_3<=Arg_0
17:n_evalSimpleMultiplestart(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalSimpleMultipleentryin___15(Arg_0,Arg_1,Arg_2,Arg_3)
MPRF for transition 1:n_evalSimpleMultiplebb1in___7(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalSimpleMultiplebb3in___9(Arg_0+1,Arg_1,Arg_2,Arg_3):|:2<=Arg_3 && 3<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && 2+Arg_1<=Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1<=Arg_2 && 1<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_1<=0 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 && 1+Arg_0<=Arg_3 && 1+Arg_1<=Arg_2 of depth 1:
new bound:
Arg_3+1 {O(n)}
MPRF:
n_evalSimpleMultiplebb3in___9 [Arg_3-Arg_0 ]
n_evalSimpleMultiplebbin___8 [Arg_3-Arg_0 ]
n_evalSimpleMultiplebb1in___7 [Arg_3-Arg_0 ]
MPRF for transition 8:n_evalSimpleMultiplebb3in___9(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalSimpleMultiplebbin___8(Arg_0,Arg_1,Arg_2,Arg_3):|:1<=Arg_3 && 2<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && 2<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_2 && 1<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_1<=0 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 && 1+Arg_1<=Arg_2 && 1+Arg_1<=Arg_2 && 1+Arg_1<=Arg_2 of depth 1:
new bound:
Arg_3+2 {O(n)}
MPRF:
n_evalSimpleMultiplebb3in___9 [Arg_3+1-Arg_0 ]
n_evalSimpleMultiplebbin___8 [Arg_3-Arg_0 ]
n_evalSimpleMultiplebb1in___7 [Arg_3-Arg_0 ]
MPRF for transition 12:n_evalSimpleMultiplebbin___8(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalSimpleMultiplebb1in___7(Arg_0,Arg_1,Arg_2,Arg_3):|:1<=Arg_3 && 2<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && 2<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_2 && 1<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_1<=0 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 && 1+Arg_1<=Arg_2 && 1+Arg_0<=Arg_3 of depth 1:
new bound:
Arg_3+2 {O(n)}
MPRF:
n_evalSimpleMultiplebb3in___9 [Arg_3+1-Arg_0 ]
n_evalSimpleMultiplebbin___8 [Arg_3+1-Arg_0 ]
n_evalSimpleMultiplebb1in___7 [Arg_3-Arg_0 ]
MPRF for transition 3:n_evalSimpleMultiplebb2in___6(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalSimpleMultiplebb3in___5(Arg_0,Arg_1+1,Arg_2,Arg_3):|:Arg_3<=Arg_0 && 1<=Arg_2 && 1<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && 1+Arg_1<=Arg_2 && Arg_3<=Arg_0 of depth 1:
new bound:
2*Arg_2+1 {O(n)}
MPRF:
n_evalSimpleMultiplebb3in___5 [Arg_2-Arg_1 ]
n_evalSimpleMultiplebbin___4 [Arg_2-Arg_1 ]
n_evalSimpleMultiplebb2in___6 [Arg_2-Arg_1 ]
MPRF for transition 6:n_evalSimpleMultiplebb3in___5(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalSimpleMultiplebbin___4(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_3<=Arg_0 && 1+Arg_1<=Arg_2 of depth 1:
new bound:
2*Arg_2+2 {O(n)}
MPRF:
n_evalSimpleMultiplebb3in___5 [Arg_2-Arg_1 ]
n_evalSimpleMultiplebbin___4 [Arg_2-Arg_1-1 ]
n_evalSimpleMultiplebb2in___6 [Arg_2-Arg_1-1 ]
MPRF for transition 11:n_evalSimpleMultiplebbin___4(Arg_0,Arg_1,Arg_2,Arg_3) -> n_evalSimpleMultiplebb2in___6(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_0 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && 1+Arg_1<=Arg_2 && Arg_3<=Arg_0 && Arg_3<=Arg_0 of depth 1:
new bound:
2*Arg_2+2 {O(n)}
MPRF:
n_evalSimpleMultiplebb3in___5 [Arg_2-Arg_1 ]
n_evalSimpleMultiplebbin___4 [Arg_2-Arg_1 ]
n_evalSimpleMultiplebb2in___6 [Arg_2-Arg_1-1 ]
All Bounds
Timebounds
Overall timebound:3*Arg_3+6*Arg_2+22 {O(n)}
0: n_evalSimpleMultiplebb1in___11->n_evalSimpleMultiplebb3in___9: 1 {O(1)}
1: n_evalSimpleMultiplebb1in___7->n_evalSimpleMultiplebb3in___9: Arg_3+1 {O(n)}
2: n_evalSimpleMultiplebb2in___10->n_evalSimpleMultiplebb3in___5: 1 {O(1)}
3: n_evalSimpleMultiplebb2in___6->n_evalSimpleMultiplebb3in___5: 2*Arg_2+1 {O(n)}
4: n_evalSimpleMultiplebb3in___14->n_evalSimpleMultiplebbin___13: 1 {O(1)}
5: n_evalSimpleMultiplebb3in___14->n_evalSimpleMultiplereturnin___12: 1 {O(1)}
6: n_evalSimpleMultiplebb3in___5->n_evalSimpleMultiplebbin___4: 2*Arg_2+2 {O(n)}
7: n_evalSimpleMultiplebb3in___5->n_evalSimpleMultiplereturnin___3: 1 {O(1)}
8: n_evalSimpleMultiplebb3in___9->n_evalSimpleMultiplebbin___8: Arg_3+2 {O(n)}
9: n_evalSimpleMultiplebbin___13->n_evalSimpleMultiplebb1in___11: 1 {O(1)}
10: n_evalSimpleMultiplebbin___13->n_evalSimpleMultiplebb2in___10: 1 {O(1)}
11: n_evalSimpleMultiplebbin___4->n_evalSimpleMultiplebb2in___6: 2*Arg_2+2 {O(n)}
12: n_evalSimpleMultiplebbin___8->n_evalSimpleMultiplebb1in___7: Arg_3+2 {O(n)}
13: n_evalSimpleMultiplebbin___8->n_evalSimpleMultiplebb2in___6: 1 {O(1)}
14: n_evalSimpleMultipleentryin___15->n_evalSimpleMultiplebb3in___14: 1 {O(1)}
15: n_evalSimpleMultiplereturnin___12->n_evalSimpleMultiplestop___1: 1 {O(1)}
16: n_evalSimpleMultiplereturnin___3->n_evalSimpleMultiplestop___2: 1 {O(1)}
17: n_evalSimpleMultiplestart->n_evalSimpleMultipleentryin___15: 1 {O(1)}
Costbounds
Overall costbound: 3*Arg_3+6*Arg_2+22 {O(n)}
0: n_evalSimpleMultiplebb1in___11->n_evalSimpleMultiplebb3in___9: 1 {O(1)}
1: n_evalSimpleMultiplebb1in___7->n_evalSimpleMultiplebb3in___9: Arg_3+1 {O(n)}
2: n_evalSimpleMultiplebb2in___10->n_evalSimpleMultiplebb3in___5: 1 {O(1)}
3: n_evalSimpleMultiplebb2in___6->n_evalSimpleMultiplebb3in___5: 2*Arg_2+1 {O(n)}
4: n_evalSimpleMultiplebb3in___14->n_evalSimpleMultiplebbin___13: 1 {O(1)}
5: n_evalSimpleMultiplebb3in___14->n_evalSimpleMultiplereturnin___12: 1 {O(1)}
6: n_evalSimpleMultiplebb3in___5->n_evalSimpleMultiplebbin___4: 2*Arg_2+2 {O(n)}
7: n_evalSimpleMultiplebb3in___5->n_evalSimpleMultiplereturnin___3: 1 {O(1)}
8: n_evalSimpleMultiplebb3in___9->n_evalSimpleMultiplebbin___8: Arg_3+2 {O(n)}
9: n_evalSimpleMultiplebbin___13->n_evalSimpleMultiplebb1in___11: 1 {O(1)}
10: n_evalSimpleMultiplebbin___13->n_evalSimpleMultiplebb2in___10: 1 {O(1)}
11: n_evalSimpleMultiplebbin___4->n_evalSimpleMultiplebb2in___6: 2*Arg_2+2 {O(n)}
12: n_evalSimpleMultiplebbin___8->n_evalSimpleMultiplebb1in___7: Arg_3+2 {O(n)}
13: n_evalSimpleMultiplebbin___8->n_evalSimpleMultiplebb2in___6: 1 {O(1)}
14: n_evalSimpleMultipleentryin___15->n_evalSimpleMultiplebb3in___14: 1 {O(1)}
15: n_evalSimpleMultiplereturnin___12->n_evalSimpleMultiplestop___1: 1 {O(1)}
16: n_evalSimpleMultiplereturnin___3->n_evalSimpleMultiplestop___2: 1 {O(1)}
17: n_evalSimpleMultiplestart->n_evalSimpleMultipleentryin___15: 1 {O(1)}
Sizebounds
0: n_evalSimpleMultiplebb1in___11->n_evalSimpleMultiplebb3in___9, Arg_0: 1 {O(1)}
0: n_evalSimpleMultiplebb1in___11->n_evalSimpleMultiplebb3in___9, Arg_1: 0 {O(1)}
0: n_evalSimpleMultiplebb1in___11->n_evalSimpleMultiplebb3in___9, Arg_2: Arg_2 {O(n)}
0: n_evalSimpleMultiplebb1in___11->n_evalSimpleMultiplebb3in___9, Arg_3: Arg_3 {O(n)}
1: n_evalSimpleMultiplebb1in___7->n_evalSimpleMultiplebb3in___9, Arg_0: Arg_3+2 {O(n)}
1: n_evalSimpleMultiplebb1in___7->n_evalSimpleMultiplebb3in___9, Arg_1: 0 {O(1)}
1: n_evalSimpleMultiplebb1in___7->n_evalSimpleMultiplebb3in___9, Arg_2: Arg_2 {O(n)}
1: n_evalSimpleMultiplebb1in___7->n_evalSimpleMultiplebb3in___9, Arg_3: Arg_3 {O(n)}
2: n_evalSimpleMultiplebb2in___10->n_evalSimpleMultiplebb3in___5, Arg_0: 0 {O(1)}
2: n_evalSimpleMultiplebb2in___10->n_evalSimpleMultiplebb3in___5, Arg_1: 1 {O(1)}
2: n_evalSimpleMultiplebb2in___10->n_evalSimpleMultiplebb3in___5, Arg_2: Arg_2 {O(n)}
2: n_evalSimpleMultiplebb2in___10->n_evalSimpleMultiplebb3in___5, Arg_3: Arg_3 {O(n)}
3: n_evalSimpleMultiplebb2in___6->n_evalSimpleMultiplebb3in___5, Arg_0: Arg_3+2 {O(n)}
3: n_evalSimpleMultiplebb2in___6->n_evalSimpleMultiplebb3in___5, Arg_1: 2*Arg_2+2 {O(n)}
3: n_evalSimpleMultiplebb2in___6->n_evalSimpleMultiplebb3in___5, Arg_2: 2*Arg_2 {O(n)}
3: n_evalSimpleMultiplebb2in___6->n_evalSimpleMultiplebb3in___5, Arg_3: 2*Arg_3 {O(n)}
4: n_evalSimpleMultiplebb3in___14->n_evalSimpleMultiplebbin___13, Arg_0: 0 {O(1)}
4: n_evalSimpleMultiplebb3in___14->n_evalSimpleMultiplebbin___13, Arg_1: 0 {O(1)}
4: n_evalSimpleMultiplebb3in___14->n_evalSimpleMultiplebbin___13, Arg_2: Arg_2 {O(n)}
4: n_evalSimpleMultiplebb3in___14->n_evalSimpleMultiplebbin___13, Arg_3: Arg_3 {O(n)}
5: n_evalSimpleMultiplebb3in___14->n_evalSimpleMultiplereturnin___12, Arg_0: 0 {O(1)}
5: n_evalSimpleMultiplebb3in___14->n_evalSimpleMultiplereturnin___12, Arg_1: 0 {O(1)}
5: n_evalSimpleMultiplebb3in___14->n_evalSimpleMultiplereturnin___12, Arg_2: Arg_2 {O(n)}
5: n_evalSimpleMultiplebb3in___14->n_evalSimpleMultiplereturnin___12, Arg_3: Arg_3 {O(n)}
6: n_evalSimpleMultiplebb3in___5->n_evalSimpleMultiplebbin___4, Arg_0: Arg_3+2 {O(n)}
6: n_evalSimpleMultiplebb3in___5->n_evalSimpleMultiplebbin___4, Arg_1: 2*Arg_2+2 {O(n)}
6: n_evalSimpleMultiplebb3in___5->n_evalSimpleMultiplebbin___4, Arg_2: 2*Arg_2 {O(n)}
6: n_evalSimpleMultiplebb3in___5->n_evalSimpleMultiplebbin___4, Arg_3: 2*Arg_3 {O(n)}
7: n_evalSimpleMultiplebb3in___5->n_evalSimpleMultiplereturnin___3, Arg_0: Arg_3+2 {O(n)}
7: n_evalSimpleMultiplebb3in___5->n_evalSimpleMultiplereturnin___3, Arg_1: 2*Arg_2+3 {O(n)}
7: n_evalSimpleMultiplebb3in___5->n_evalSimpleMultiplereturnin___3, Arg_2: 3*Arg_2 {O(n)}
7: n_evalSimpleMultiplebb3in___5->n_evalSimpleMultiplereturnin___3, Arg_3: 3*Arg_3 {O(n)}
8: n_evalSimpleMultiplebb3in___9->n_evalSimpleMultiplebbin___8, Arg_0: Arg_3+2 {O(n)}
8: n_evalSimpleMultiplebb3in___9->n_evalSimpleMultiplebbin___8, Arg_1: 0 {O(1)}
8: n_evalSimpleMultiplebb3in___9->n_evalSimpleMultiplebbin___8, Arg_2: Arg_2 {O(n)}
8: n_evalSimpleMultiplebb3in___9->n_evalSimpleMultiplebbin___8, Arg_3: Arg_3 {O(n)}
9: n_evalSimpleMultiplebbin___13->n_evalSimpleMultiplebb1in___11, Arg_0: 0 {O(1)}
9: n_evalSimpleMultiplebbin___13->n_evalSimpleMultiplebb1in___11, Arg_1: 0 {O(1)}
9: n_evalSimpleMultiplebbin___13->n_evalSimpleMultiplebb1in___11, Arg_2: Arg_2 {O(n)}
9: n_evalSimpleMultiplebbin___13->n_evalSimpleMultiplebb1in___11, Arg_3: Arg_3 {O(n)}
10: n_evalSimpleMultiplebbin___13->n_evalSimpleMultiplebb2in___10, Arg_0: 0 {O(1)}
10: n_evalSimpleMultiplebbin___13->n_evalSimpleMultiplebb2in___10, Arg_1: 0 {O(1)}
10: n_evalSimpleMultiplebbin___13->n_evalSimpleMultiplebb2in___10, Arg_2: Arg_2 {O(n)}
10: n_evalSimpleMultiplebbin___13->n_evalSimpleMultiplebb2in___10, Arg_3: Arg_3 {O(n)}
11: n_evalSimpleMultiplebbin___4->n_evalSimpleMultiplebb2in___6, Arg_0: Arg_3+2 {O(n)}
11: n_evalSimpleMultiplebbin___4->n_evalSimpleMultiplebb2in___6, Arg_1: 2*Arg_2+2 {O(n)}
11: n_evalSimpleMultiplebbin___4->n_evalSimpleMultiplebb2in___6, Arg_2: 2*Arg_2 {O(n)}
11: n_evalSimpleMultiplebbin___4->n_evalSimpleMultiplebb2in___6, Arg_3: 2*Arg_3 {O(n)}
12: n_evalSimpleMultiplebbin___8->n_evalSimpleMultiplebb1in___7, Arg_0: Arg_3+2 {O(n)}
12: n_evalSimpleMultiplebbin___8->n_evalSimpleMultiplebb1in___7, Arg_1: 0 {O(1)}
12: n_evalSimpleMultiplebbin___8->n_evalSimpleMultiplebb1in___7, Arg_2: Arg_2 {O(n)}
12: n_evalSimpleMultiplebbin___8->n_evalSimpleMultiplebb1in___7, Arg_3: Arg_3 {O(n)}
13: n_evalSimpleMultiplebbin___8->n_evalSimpleMultiplebb2in___6, Arg_0: Arg_3+2 {O(n)}
13: n_evalSimpleMultiplebbin___8->n_evalSimpleMultiplebb2in___6, Arg_1: 0 {O(1)}
13: n_evalSimpleMultiplebbin___8->n_evalSimpleMultiplebb2in___6, Arg_2: Arg_2 {O(n)}
13: n_evalSimpleMultiplebbin___8->n_evalSimpleMultiplebb2in___6, Arg_3: Arg_3 {O(n)}
14: n_evalSimpleMultipleentryin___15->n_evalSimpleMultiplebb3in___14, Arg_0: 0 {O(1)}
14: n_evalSimpleMultipleentryin___15->n_evalSimpleMultiplebb3in___14, Arg_1: 0 {O(1)}
14: n_evalSimpleMultipleentryin___15->n_evalSimpleMultiplebb3in___14, Arg_2: Arg_2 {O(n)}
14: n_evalSimpleMultipleentryin___15->n_evalSimpleMultiplebb3in___14, Arg_3: Arg_3 {O(n)}
15: n_evalSimpleMultiplereturnin___12->n_evalSimpleMultiplestop___1, Arg_0: 0 {O(1)}
15: n_evalSimpleMultiplereturnin___12->n_evalSimpleMultiplestop___1, Arg_1: 0 {O(1)}
15: n_evalSimpleMultiplereturnin___12->n_evalSimpleMultiplestop___1, Arg_2: Arg_2 {O(n)}
15: n_evalSimpleMultiplereturnin___12->n_evalSimpleMultiplestop___1, Arg_3: Arg_3 {O(n)}
16: n_evalSimpleMultiplereturnin___3->n_evalSimpleMultiplestop___2, Arg_0: Arg_3+2 {O(n)}
16: n_evalSimpleMultiplereturnin___3->n_evalSimpleMultiplestop___2, Arg_1: 2*Arg_2+3 {O(n)}
16: n_evalSimpleMultiplereturnin___3->n_evalSimpleMultiplestop___2, Arg_2: 3*Arg_2 {O(n)}
16: n_evalSimpleMultiplereturnin___3->n_evalSimpleMultiplestop___2, Arg_3: 3*Arg_3 {O(n)}
17: n_evalSimpleMultiplestart->n_evalSimpleMultipleentryin___15, Arg_0: Arg_0 {O(n)}
17: n_evalSimpleMultiplestart->n_evalSimpleMultipleentryin___15, Arg_1: Arg_1 {O(n)}
17: n_evalSimpleMultiplestart->n_evalSimpleMultipleentryin___15, Arg_2: Arg_2 {O(n)}
17: n_evalSimpleMultiplestart->n_evalSimpleMultipleentryin___15, Arg_3: Arg_3 {O(n)}