Initial Problem
Start: n_eval_jama_ex2_start
Program_Vars: Arg_0, Arg_1, Arg_2
Temp_Vars:
Locations: n_eval_jama_ex2_bb0_in___14, n_eval_jama_ex2_bb1_in___13, n_eval_jama_ex2_bb1_in___6, n_eval_jama_ex2_bb2_in___12, n_eval_jama_ex2_bb2_in___5, n_eval_jama_ex2_bb2_in___9, n_eval_jama_ex2_bb3_in___10, n_eval_jama_ex2_bb3_in___8, n_eval_jama_ex2_bb4_in___3, n_eval_jama_ex2_bb4_in___7, n_eval_jama_ex2_bb5_in___11, n_eval_jama_ex2_bb5_in___4, n_eval_jama_ex2_start, n_eval_jama_ex2_stop___1, n_eval_jama_ex2_stop___2
Transitions:
0:n_eval_jama_ex2_bb0_in___14(Arg_0,Arg_1,Arg_2) -> n_eval_jama_ex2_bb1_in___13(1,Arg_1,Arg_2)
1:n_eval_jama_ex2_bb1_in___13(Arg_0,Arg_1,Arg_2) -> n_eval_jama_ex2_bb2_in___12(Arg_0,1,Arg_2):|:1<=Arg_0 && Arg_0<=1 && 1<=Arg_0 && Arg_0<=Arg_2
2:n_eval_jama_ex2_bb1_in___13(Arg_0,Arg_1,Arg_2) -> n_eval_jama_ex2_bb5_in___11(Arg_0,Arg_1,Arg_2):|:1<=Arg_0 && Arg_0<=1 && 1<=Arg_0 && Arg_2<Arg_0
3:n_eval_jama_ex2_bb1_in___6(Arg_0,Arg_1,Arg_2) -> n_eval_jama_ex2_bb2_in___5(Arg_0,1,Arg_2):|:Arg_0<=Arg_2
4:n_eval_jama_ex2_bb1_in___6(Arg_0,Arg_1,Arg_2) -> n_eval_jama_ex2_bb5_in___4(Arg_0,Arg_1,Arg_2):|:Arg_2<Arg_0
5:n_eval_jama_ex2_bb2_in___12(Arg_0,Arg_1,Arg_2) -> n_eval_jama_ex2_bb3_in___10(Arg_0,Arg_1,Arg_2):|:Arg_1<=Arg_0 && Arg_1<=1 && 1<=Arg_1 && Arg_0<=Arg_2 && Arg_1<=Arg_0 && Arg_1<=Arg_0
6:n_eval_jama_ex2_bb2_in___5(Arg_0,Arg_1,Arg_2) -> n_eval_jama_ex2_bb3_in___10(Arg_0,Arg_1,Arg_2):|:Arg_1<=1 && 1<=Arg_1 && Arg_0<=Arg_2 && Arg_1<=Arg_0
7:n_eval_jama_ex2_bb2_in___5(Arg_0,Arg_1,Arg_2) -> n_eval_jama_ex2_bb4_in___3(Arg_0,Arg_1,Arg_2):|:Arg_1<=1 && 1<=Arg_1 && Arg_0<=Arg_2 && Arg_0<Arg_1
8:n_eval_jama_ex2_bb2_in___9(Arg_0,Arg_1,Arg_2) -> n_eval_jama_ex2_bb3_in___8(Arg_0,Arg_1,Arg_2):|:Arg_1<=Arg_0
9:n_eval_jama_ex2_bb2_in___9(Arg_0,Arg_1,Arg_2) -> n_eval_jama_ex2_bb4_in___7(Arg_0,Arg_1,Arg_2):|:Arg_0<Arg_1
10:n_eval_jama_ex2_bb3_in___10(Arg_0,Arg_1,Arg_2) -> n_eval_jama_ex2_bb2_in___9(Arg_0,Arg_1+1,Arg_2):|:Arg_0<=Arg_2 && 1<=Arg_0 && Arg_1<=1 && 1<=Arg_1
11:n_eval_jama_ex2_bb3_in___8(Arg_0,Arg_1,Arg_2) -> n_eval_jama_ex2_bb2_in___9(Arg_0,Arg_1+1,Arg_2):|:Arg_1<=Arg_0
12:n_eval_jama_ex2_bb4_in___3(Arg_0,Arg_1,Arg_2) -> n_eval_jama_ex2_bb1_in___6(Arg_0+1,Arg_1,Arg_2):|:Arg_0<1 && Arg_0<=Arg_2 && Arg_1<=1 && 1<=Arg_1
13:n_eval_jama_ex2_bb4_in___7(Arg_0,Arg_1,Arg_2) -> n_eval_jama_ex2_bb1_in___6(Arg_0+1,Arg_1,Arg_2):|:Arg_0<Arg_1
14:n_eval_jama_ex2_bb5_in___11(Arg_0,Arg_1,Arg_2) -> n_eval_jama_ex2_stop___1(Arg_0,Arg_1,Arg_2):|:Arg_2<1 && Arg_0<=1 && 1<=Arg_0
15:n_eval_jama_ex2_bb5_in___4(Arg_0,Arg_1,Arg_2) -> n_eval_jama_ex2_stop___2(Arg_0,Arg_1,Arg_2):|:Arg_2<Arg_0
16:n_eval_jama_ex2_start(Arg_0,Arg_1,Arg_2) -> n_eval_jama_ex2_bb0_in___14(Arg_0,Arg_1,Arg_2)
Preprocessing
Found invariant Arg_2<=0 && 1+Arg_2<=Arg_0 && Arg_0+Arg_2<=1 && Arg_0<=1 && 1<=Arg_0 for location n_eval_jama_ex2_bb5_in___11
Found invariant 2<=Arg_2 && 4<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && 2<=Arg_0 for location n_eval_jama_ex2_bb3_in___8
Found invariant 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=1 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location n_eval_jama_ex2_bb3_in___10
Found invariant 1<=Arg_2 && 3<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 3<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 2<=Arg_0 for location n_eval_jama_ex2_bb1_in___6
Found invariant 1+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 3<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 2<=Arg_0 for location n_eval_jama_ex2_stop___2
Found invariant 1<=Arg_2 && 3<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=1+Arg_0 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 for location n_eval_jama_ex2_bb4_in___7
Found invariant 1<=Arg_2 && 3<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=1+Arg_0 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1<=Arg_0 for location n_eval_jama_ex2_bb2_in___9
Found invariant Arg_0<=1 && 1<=Arg_0 for location n_eval_jama_ex2_bb1_in___13
Found invariant 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=1 && Arg_1<=Arg_0 && Arg_0+Arg_1<=2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=1 && 1<=Arg_0 for location n_eval_jama_ex2_bb2_in___12
Found invariant 1<=0 for location n_eval_jama_ex2_bb4_in___3
Found invariant 1+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 3<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 2<=Arg_0 for location n_eval_jama_ex2_bb5_in___4
Found invariant Arg_2<=0 && 1+Arg_2<=Arg_0 && Arg_0+Arg_2<=1 && Arg_0<=1 && 1<=Arg_0 for location n_eval_jama_ex2_stop___1
Found invariant 2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=1 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 for location n_eval_jama_ex2_bb2_in___5
Cut unsatisfiable transition 7: n_eval_jama_ex2_bb2_in___5->n_eval_jama_ex2_bb4_in___3
Cut unsatisfiable transition 12: n_eval_jama_ex2_bb4_in___3->n_eval_jama_ex2_bb1_in___6
Cut unreachable locations [n_eval_jama_ex2_bb4_in___3] from the program graph
Problem after Preprocessing
Start: n_eval_jama_ex2_start
Program_Vars: Arg_0, Arg_1, Arg_2
Temp_Vars:
Locations: n_eval_jama_ex2_bb0_in___14, n_eval_jama_ex2_bb1_in___13, n_eval_jama_ex2_bb1_in___6, n_eval_jama_ex2_bb2_in___12, n_eval_jama_ex2_bb2_in___5, n_eval_jama_ex2_bb2_in___9, n_eval_jama_ex2_bb3_in___10, n_eval_jama_ex2_bb3_in___8, n_eval_jama_ex2_bb4_in___7, n_eval_jama_ex2_bb5_in___11, n_eval_jama_ex2_bb5_in___4, n_eval_jama_ex2_start, n_eval_jama_ex2_stop___1, n_eval_jama_ex2_stop___2
Transitions:
0:n_eval_jama_ex2_bb0_in___14(Arg_0,Arg_1,Arg_2) -> n_eval_jama_ex2_bb1_in___13(1,Arg_1,Arg_2)
1:n_eval_jama_ex2_bb1_in___13(Arg_0,Arg_1,Arg_2) -> n_eval_jama_ex2_bb2_in___12(Arg_0,1,Arg_2):|:Arg_0<=1 && 1<=Arg_0 && 1<=Arg_0 && Arg_0<=1 && 1<=Arg_0 && Arg_0<=Arg_2
2:n_eval_jama_ex2_bb1_in___13(Arg_0,Arg_1,Arg_2) -> n_eval_jama_ex2_bb5_in___11(Arg_0,Arg_1,Arg_2):|:Arg_0<=1 && 1<=Arg_0 && 1<=Arg_0 && Arg_0<=1 && 1<=Arg_0 && Arg_2<Arg_0
3:n_eval_jama_ex2_bb1_in___6(Arg_0,Arg_1,Arg_2) -> n_eval_jama_ex2_bb2_in___5(Arg_0,1,Arg_2):|:1<=Arg_2 && 3<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 3<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 2<=Arg_0 && Arg_0<=Arg_2
4:n_eval_jama_ex2_bb1_in___6(Arg_0,Arg_1,Arg_2) -> n_eval_jama_ex2_bb5_in___4(Arg_0,Arg_1,Arg_2):|:1<=Arg_2 && 3<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 3<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 2<=Arg_0 && Arg_2<Arg_0
5:n_eval_jama_ex2_bb2_in___12(Arg_0,Arg_1,Arg_2) -> n_eval_jama_ex2_bb3_in___10(Arg_0,Arg_1,Arg_2):|:1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=1 && Arg_1<=Arg_0 && Arg_0+Arg_1<=2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=1 && 1<=Arg_0 && Arg_1<=Arg_0 && Arg_1<=1 && 1<=Arg_1 && Arg_0<=Arg_2 && Arg_1<=Arg_0 && Arg_1<=Arg_0
6:n_eval_jama_ex2_bb2_in___5(Arg_0,Arg_1,Arg_2) -> n_eval_jama_ex2_bb3_in___10(Arg_0,Arg_1,Arg_2):|:2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=1 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_1<=1 && 1<=Arg_1 && Arg_0<=Arg_2 && Arg_1<=Arg_0
8:n_eval_jama_ex2_bb2_in___9(Arg_0,Arg_1,Arg_2) -> n_eval_jama_ex2_bb3_in___8(Arg_0,Arg_1,Arg_2):|:1<=Arg_2 && 3<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=1+Arg_0 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_1<=Arg_0
9:n_eval_jama_ex2_bb2_in___9(Arg_0,Arg_1,Arg_2) -> n_eval_jama_ex2_bb4_in___7(Arg_0,Arg_1,Arg_2):|:1<=Arg_2 && 3<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=1+Arg_0 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_0<Arg_1
10:n_eval_jama_ex2_bb3_in___10(Arg_0,Arg_1,Arg_2) -> n_eval_jama_ex2_bb2_in___9(Arg_0,Arg_1+1,Arg_2):|:1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=1 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_0<=Arg_2 && 1<=Arg_0 && Arg_1<=1 && 1<=Arg_1
11:n_eval_jama_ex2_bb3_in___8(Arg_0,Arg_1,Arg_2) -> n_eval_jama_ex2_bb2_in___9(Arg_0,Arg_1+1,Arg_2):|:2<=Arg_2 && 4<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_1<=Arg_0
13:n_eval_jama_ex2_bb4_in___7(Arg_0,Arg_1,Arg_2) -> n_eval_jama_ex2_bb1_in___6(Arg_0+1,Arg_1,Arg_2):|:1<=Arg_2 && 3<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=1+Arg_0 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 && Arg_0<Arg_1
14:n_eval_jama_ex2_bb5_in___11(Arg_0,Arg_1,Arg_2) -> n_eval_jama_ex2_stop___1(Arg_0,Arg_1,Arg_2):|:Arg_2<=0 && 1+Arg_2<=Arg_0 && Arg_0+Arg_2<=1 && Arg_0<=1 && 1<=Arg_0 && Arg_2<1 && Arg_0<=1 && 1<=Arg_0
15:n_eval_jama_ex2_bb5_in___4(Arg_0,Arg_1,Arg_2) -> n_eval_jama_ex2_stop___2(Arg_0,Arg_1,Arg_2):|:1+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 3<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 2<=Arg_0 && Arg_2<Arg_0
16:n_eval_jama_ex2_start(Arg_0,Arg_1,Arg_2) -> n_eval_jama_ex2_bb0_in___14(Arg_0,Arg_1,Arg_2)
MPRF for transition 3:n_eval_jama_ex2_bb1_in___6(Arg_0,Arg_1,Arg_2) -> n_eval_jama_ex2_bb2_in___5(Arg_0,1,Arg_2):|:1<=Arg_2 && 3<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 3<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 2<=Arg_0 && Arg_0<=Arg_2 of depth 1:
new bound:
Arg_2+2 {O(n)}
MPRF:
n_eval_jama_ex2_bb2_in___5 [Arg_1+Arg_2-Arg_0 ]
n_eval_jama_ex2_bb3_in___10 [Arg_2+1-Arg_0 ]
n_eval_jama_ex2_bb3_in___8 [Arg_2+1-Arg_0 ]
n_eval_jama_ex2_bb2_in___9 [Arg_2+1-Arg_0 ]
n_eval_jama_ex2_bb4_in___7 [Arg_1+Arg_2-2*Arg_0 ]
n_eval_jama_ex2_bb1_in___6 [Arg_2+2-Arg_1 ]
MPRF for transition 6:n_eval_jama_ex2_bb2_in___5(Arg_0,Arg_1,Arg_2) -> n_eval_jama_ex2_bb3_in___10(Arg_0,Arg_1,Arg_2):|:2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=1 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_1<=1 && 1<=Arg_1 && Arg_0<=Arg_2 && Arg_1<=Arg_0 of depth 1:
new bound:
Arg_2+1 {O(n)}
MPRF:
n_eval_jama_ex2_bb2_in___5 [Arg_2+1-Arg_0 ]
n_eval_jama_ex2_bb3_in___10 [Arg_2-Arg_0 ]
n_eval_jama_ex2_bb3_in___8 [Arg_2-Arg_0 ]
n_eval_jama_ex2_bb2_in___9 [Arg_2-Arg_0 ]
n_eval_jama_ex2_bb4_in___7 [Arg_2+1-Arg_1 ]
n_eval_jama_ex2_bb1_in___6 [Arg_2+1-Arg_1 ]
MPRF for transition 9:n_eval_jama_ex2_bb2_in___9(Arg_0,Arg_1,Arg_2) -> n_eval_jama_ex2_bb4_in___7(Arg_0,Arg_1,Arg_2):|:1<=Arg_2 && 3<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=1+Arg_0 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_0<Arg_1 of depth 1:
new bound:
Arg_2+2 {O(n)}
MPRF:
n_eval_jama_ex2_bb2_in___5 [Arg_2+1-Arg_0 ]
n_eval_jama_ex2_bb3_in___10 [Arg_1+Arg_2-Arg_0 ]
n_eval_jama_ex2_bb3_in___8 [Arg_2+1-Arg_0 ]
n_eval_jama_ex2_bb2_in___9 [Arg_2+1-Arg_0 ]
n_eval_jama_ex2_bb4_in___7 [Arg_2+1-Arg_1 ]
n_eval_jama_ex2_bb1_in___6 [Arg_2+1-Arg_1 ]
MPRF for transition 10:n_eval_jama_ex2_bb3_in___10(Arg_0,Arg_1,Arg_2) -> n_eval_jama_ex2_bb2_in___9(Arg_0,Arg_1+1,Arg_2):|:1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=1 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_0<=Arg_2 && 1<=Arg_0 && Arg_1<=1 && 1<=Arg_1 of depth 1:
new bound:
Arg_2+3 {O(n)}
MPRF:
n_eval_jama_ex2_bb2_in___5 [2*Arg_1+Arg_2-Arg_0 ]
n_eval_jama_ex2_bb3_in___10 [Arg_2+2-Arg_0 ]
n_eval_jama_ex2_bb3_in___8 [Arg_2+1-Arg_0 ]
n_eval_jama_ex2_bb2_in___9 [Arg_2+1-Arg_0 ]
n_eval_jama_ex2_bb4_in___7 [Arg_2+1-Arg_0 ]
n_eval_jama_ex2_bb1_in___6 [Arg_2+2-Arg_0 ]
MPRF for transition 13:n_eval_jama_ex2_bb4_in___7(Arg_0,Arg_1,Arg_2) -> n_eval_jama_ex2_bb1_in___6(Arg_0+1,Arg_1,Arg_2):|:1<=Arg_2 && 3<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=1+Arg_0 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 && Arg_0<Arg_1 of depth 1:
new bound:
2*Arg_2+1 {O(n)}
MPRF:
n_eval_jama_ex2_bb2_in___5 [2*Arg_2-Arg_0 ]
n_eval_jama_ex2_bb3_in___10 [2*Arg_2-Arg_0 ]
n_eval_jama_ex2_bb3_in___8 [2*Arg_2-Arg_0 ]
n_eval_jama_ex2_bb2_in___9 [2*Arg_2-Arg_0 ]
n_eval_jama_ex2_bb4_in___7 [2*Arg_2-Arg_0 ]
n_eval_jama_ex2_bb1_in___6 [2*Arg_2-Arg_1 ]
MPRF for transition 8:n_eval_jama_ex2_bb2_in___9(Arg_0,Arg_1,Arg_2) -> n_eval_jama_ex2_bb3_in___8(Arg_0,Arg_1,Arg_2):|:1<=Arg_2 && 3<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=1+Arg_0 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_1<=Arg_0 of depth 1:
new bound:
2*Arg_2*Arg_2+2*Arg_2 {O(n^2)}
MPRF:
n_eval_jama_ex2_bb1_in___6 [Arg_2 ]
n_eval_jama_ex2_bb2_in___5 [Arg_2 ]
n_eval_jama_ex2_bb4_in___7 [Arg_2-Arg_1 ]
n_eval_jama_ex2_bb3_in___10 [Arg_2 ]
n_eval_jama_ex2_bb3_in___8 [Arg_2+1-Arg_1 ]
n_eval_jama_ex2_bb2_in___9 [Arg_2+2-Arg_1 ]
MPRF for transition 11:n_eval_jama_ex2_bb3_in___8(Arg_0,Arg_1,Arg_2) -> n_eval_jama_ex2_bb2_in___9(Arg_0,Arg_1+1,Arg_2):|:2<=Arg_2 && 4<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_1<=Arg_0 of depth 1:
new bound:
2*Arg_2*Arg_2+2*Arg_2 {O(n^2)}
MPRF:
n_eval_jama_ex2_bb1_in___6 [Arg_2 ]
n_eval_jama_ex2_bb2_in___5 [Arg_2 ]
n_eval_jama_ex2_bb4_in___7 [Arg_2-Arg_1 ]
n_eval_jama_ex2_bb3_in___10 [Arg_2 ]
n_eval_jama_ex2_bb3_in___8 [Arg_2+1-Arg_1 ]
n_eval_jama_ex2_bb2_in___9 [Arg_2+1-Arg_1 ]
All Bounds
Timebounds
Overall timebound:4*Arg_2*Arg_2+10*Arg_2+17 {O(n^2)}
0: n_eval_jama_ex2_bb0_in___14->n_eval_jama_ex2_bb1_in___13: 1 {O(1)}
1: n_eval_jama_ex2_bb1_in___13->n_eval_jama_ex2_bb2_in___12: 1 {O(1)}
2: n_eval_jama_ex2_bb1_in___13->n_eval_jama_ex2_bb5_in___11: 1 {O(1)}
3: n_eval_jama_ex2_bb1_in___6->n_eval_jama_ex2_bb2_in___5: Arg_2+2 {O(n)}
4: n_eval_jama_ex2_bb1_in___6->n_eval_jama_ex2_bb5_in___4: 1 {O(1)}
5: n_eval_jama_ex2_bb2_in___12->n_eval_jama_ex2_bb3_in___10: 1 {O(1)}
6: n_eval_jama_ex2_bb2_in___5->n_eval_jama_ex2_bb3_in___10: Arg_2+1 {O(n)}
8: n_eval_jama_ex2_bb2_in___9->n_eval_jama_ex2_bb3_in___8: 2*Arg_2*Arg_2+2*Arg_2 {O(n^2)}
9: n_eval_jama_ex2_bb2_in___9->n_eval_jama_ex2_bb4_in___7: Arg_2+2 {O(n)}
10: n_eval_jama_ex2_bb3_in___10->n_eval_jama_ex2_bb2_in___9: Arg_2+3 {O(n)}
11: n_eval_jama_ex2_bb3_in___8->n_eval_jama_ex2_bb2_in___9: 2*Arg_2*Arg_2+2*Arg_2 {O(n^2)}
13: n_eval_jama_ex2_bb4_in___7->n_eval_jama_ex2_bb1_in___6: 2*Arg_2+1 {O(n)}
14: n_eval_jama_ex2_bb5_in___11->n_eval_jama_ex2_stop___1: 1 {O(1)}
15: n_eval_jama_ex2_bb5_in___4->n_eval_jama_ex2_stop___2: 1 {O(1)}
16: n_eval_jama_ex2_start->n_eval_jama_ex2_bb0_in___14: 1 {O(1)}
Costbounds
Overall costbound: 4*Arg_2*Arg_2+10*Arg_2+17 {O(n^2)}
0: n_eval_jama_ex2_bb0_in___14->n_eval_jama_ex2_bb1_in___13: 1 {O(1)}
1: n_eval_jama_ex2_bb1_in___13->n_eval_jama_ex2_bb2_in___12: 1 {O(1)}
2: n_eval_jama_ex2_bb1_in___13->n_eval_jama_ex2_bb5_in___11: 1 {O(1)}
3: n_eval_jama_ex2_bb1_in___6->n_eval_jama_ex2_bb2_in___5: Arg_2+2 {O(n)}
4: n_eval_jama_ex2_bb1_in___6->n_eval_jama_ex2_bb5_in___4: 1 {O(1)}
5: n_eval_jama_ex2_bb2_in___12->n_eval_jama_ex2_bb3_in___10: 1 {O(1)}
6: n_eval_jama_ex2_bb2_in___5->n_eval_jama_ex2_bb3_in___10: Arg_2+1 {O(n)}
8: n_eval_jama_ex2_bb2_in___9->n_eval_jama_ex2_bb3_in___8: 2*Arg_2*Arg_2+2*Arg_2 {O(n^2)}
9: n_eval_jama_ex2_bb2_in___9->n_eval_jama_ex2_bb4_in___7: Arg_2+2 {O(n)}
10: n_eval_jama_ex2_bb3_in___10->n_eval_jama_ex2_bb2_in___9: Arg_2+3 {O(n)}
11: n_eval_jama_ex2_bb3_in___8->n_eval_jama_ex2_bb2_in___9: 2*Arg_2*Arg_2+2*Arg_2 {O(n^2)}
13: n_eval_jama_ex2_bb4_in___7->n_eval_jama_ex2_bb1_in___6: 2*Arg_2+1 {O(n)}
14: n_eval_jama_ex2_bb5_in___11->n_eval_jama_ex2_stop___1: 1 {O(1)}
15: n_eval_jama_ex2_bb5_in___4->n_eval_jama_ex2_stop___2: 1 {O(1)}
16: n_eval_jama_ex2_start->n_eval_jama_ex2_bb0_in___14: 1 {O(1)}
Sizebounds
0: n_eval_jama_ex2_bb0_in___14->n_eval_jama_ex2_bb1_in___13, Arg_0: 1 {O(1)}
0: n_eval_jama_ex2_bb0_in___14->n_eval_jama_ex2_bb1_in___13, Arg_1: Arg_1 {O(n)}
0: n_eval_jama_ex2_bb0_in___14->n_eval_jama_ex2_bb1_in___13, Arg_2: Arg_2 {O(n)}
1: n_eval_jama_ex2_bb1_in___13->n_eval_jama_ex2_bb2_in___12, Arg_0: 1 {O(1)}
1: n_eval_jama_ex2_bb1_in___13->n_eval_jama_ex2_bb2_in___12, Arg_1: 1 {O(1)}
1: n_eval_jama_ex2_bb1_in___13->n_eval_jama_ex2_bb2_in___12, Arg_2: Arg_2 {O(n)}
2: n_eval_jama_ex2_bb1_in___13->n_eval_jama_ex2_bb5_in___11, Arg_0: 1 {O(1)}
2: n_eval_jama_ex2_bb1_in___13->n_eval_jama_ex2_bb5_in___11, Arg_1: Arg_1 {O(n)}
2: n_eval_jama_ex2_bb1_in___13->n_eval_jama_ex2_bb5_in___11, Arg_2: Arg_2 {O(n)}
3: n_eval_jama_ex2_bb1_in___6->n_eval_jama_ex2_bb2_in___5, Arg_0: 2*Arg_2+2 {O(n)}
3: n_eval_jama_ex2_bb1_in___6->n_eval_jama_ex2_bb2_in___5, Arg_1: 1 {O(1)}
3: n_eval_jama_ex2_bb1_in___6->n_eval_jama_ex2_bb2_in___5, Arg_2: Arg_2 {O(n)}
4: n_eval_jama_ex2_bb1_in___6->n_eval_jama_ex2_bb5_in___4, Arg_0: 2*Arg_2+2 {O(n)}
4: n_eval_jama_ex2_bb1_in___6->n_eval_jama_ex2_bb5_in___4, Arg_1: 2*Arg_2*Arg_2+2*Arg_2+4 {O(n^2)}
4: n_eval_jama_ex2_bb1_in___6->n_eval_jama_ex2_bb5_in___4, Arg_2: Arg_2 {O(n)}
5: n_eval_jama_ex2_bb2_in___12->n_eval_jama_ex2_bb3_in___10, Arg_0: 1 {O(1)}
5: n_eval_jama_ex2_bb2_in___12->n_eval_jama_ex2_bb3_in___10, Arg_1: 1 {O(1)}
5: n_eval_jama_ex2_bb2_in___12->n_eval_jama_ex2_bb3_in___10, Arg_2: Arg_2 {O(n)}
6: n_eval_jama_ex2_bb2_in___5->n_eval_jama_ex2_bb3_in___10, Arg_0: 2*Arg_2+2 {O(n)}
6: n_eval_jama_ex2_bb2_in___5->n_eval_jama_ex2_bb3_in___10, Arg_1: 1 {O(1)}
6: n_eval_jama_ex2_bb2_in___5->n_eval_jama_ex2_bb3_in___10, Arg_2: Arg_2 {O(n)}
8: n_eval_jama_ex2_bb2_in___9->n_eval_jama_ex2_bb3_in___8, Arg_0: 2*Arg_2+2 {O(n)}
8: n_eval_jama_ex2_bb2_in___9->n_eval_jama_ex2_bb3_in___8, Arg_1: 2*Arg_2*Arg_2+2*Arg_2+2 {O(n^2)}
8: n_eval_jama_ex2_bb2_in___9->n_eval_jama_ex2_bb3_in___8, Arg_2: Arg_2 {O(n)}
9: n_eval_jama_ex2_bb2_in___9->n_eval_jama_ex2_bb4_in___7, Arg_0: 2*Arg_2+2 {O(n)}
9: n_eval_jama_ex2_bb2_in___9->n_eval_jama_ex2_bb4_in___7, Arg_1: 2*Arg_2*Arg_2+2*Arg_2+4 {O(n^2)}
9: n_eval_jama_ex2_bb2_in___9->n_eval_jama_ex2_bb4_in___7, Arg_2: Arg_2 {O(n)}
10: n_eval_jama_ex2_bb3_in___10->n_eval_jama_ex2_bb2_in___9, Arg_0: 2*Arg_2+2 {O(n)}
10: n_eval_jama_ex2_bb3_in___10->n_eval_jama_ex2_bb2_in___9, Arg_1: 2 {O(1)}
10: n_eval_jama_ex2_bb3_in___10->n_eval_jama_ex2_bb2_in___9, Arg_2: Arg_2 {O(n)}
11: n_eval_jama_ex2_bb3_in___8->n_eval_jama_ex2_bb2_in___9, Arg_0: 2*Arg_2+2 {O(n)}
11: n_eval_jama_ex2_bb3_in___8->n_eval_jama_ex2_bb2_in___9, Arg_1: 2*Arg_2*Arg_2+2*Arg_2+2 {O(n^2)}
11: n_eval_jama_ex2_bb3_in___8->n_eval_jama_ex2_bb2_in___9, Arg_2: Arg_2 {O(n)}
13: n_eval_jama_ex2_bb4_in___7->n_eval_jama_ex2_bb1_in___6, Arg_0: 2*Arg_2+2 {O(n)}
13: n_eval_jama_ex2_bb4_in___7->n_eval_jama_ex2_bb1_in___6, Arg_1: 2*Arg_2*Arg_2+2*Arg_2+4 {O(n^2)}
13: n_eval_jama_ex2_bb4_in___7->n_eval_jama_ex2_bb1_in___6, Arg_2: Arg_2 {O(n)}
14: n_eval_jama_ex2_bb5_in___11->n_eval_jama_ex2_stop___1, Arg_0: 1 {O(1)}
14: n_eval_jama_ex2_bb5_in___11->n_eval_jama_ex2_stop___1, Arg_1: Arg_1 {O(n)}
14: n_eval_jama_ex2_bb5_in___11->n_eval_jama_ex2_stop___1, Arg_2: Arg_2 {O(n)}
15: n_eval_jama_ex2_bb5_in___4->n_eval_jama_ex2_stop___2, Arg_0: 2*Arg_2+2 {O(n)}
15: n_eval_jama_ex2_bb5_in___4->n_eval_jama_ex2_stop___2, Arg_1: 2*Arg_2*Arg_2+2*Arg_2+4 {O(n^2)}
15: n_eval_jama_ex2_bb5_in___4->n_eval_jama_ex2_stop___2, Arg_2: Arg_2 {O(n)}
16: n_eval_jama_ex2_start->n_eval_jama_ex2_bb0_in___14, Arg_0: Arg_0 {O(n)}
16: n_eval_jama_ex2_start->n_eval_jama_ex2_bb0_in___14, Arg_1: Arg_1 {O(n)}
16: n_eval_jama_ex2_start->n_eval_jama_ex2_bb0_in___14, Arg_2: Arg_2 {O(n)}