Initial Problem

Start: n_start0
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars:
Locations: n_lbl32___3, n_lbl32___5, n_start0, n_start___6, n_stop___1, n_stop___2, n_stop___4
Transitions:
0:n_lbl32___3(Arg_0,Arg_1,Arg_2,Arg_3) -> n_lbl32___3(Arg_0,Arg_1,Arg_1,Arg_3-1):|:1+Arg_3<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && 1<=Arg_3 && 2+Arg_3<=Arg_0 && 1+Arg_3<=Arg_0 && 2<=Arg_3 && Arg_1<=Arg_2 && Arg_2<=Arg_1
1:n_lbl32___3(Arg_0,Arg_1,Arg_2,Arg_3) -> n_stop___1(Arg_0,Arg_1,Arg_1,1):|:1+Arg_3<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && 1<=Arg_3 && 2+Arg_3<=Arg_0 && 2<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_3<=1 && 1<=Arg_3
2:n_lbl32___5(Arg_0,Arg_1,Arg_2,Arg_3) -> n_lbl32___3(Arg_0,Arg_1,Arg_1,Arg_3-1):|:1+Arg_3<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_0<=1+Arg_3 && 1+Arg_3<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && 2<=Arg_0 && 1+Arg_3<=Arg_0 && 2<=Arg_3 && Arg_1<=Arg_2 && Arg_2<=Arg_1
3:n_lbl32___5(Arg_0,Arg_1,Arg_2,Arg_3) -> n_stop___2(Arg_0,Arg_1,Arg_1,1):|:1+Arg_3<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_0<=1+Arg_3 && 1+Arg_3<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && 2<=Arg_0 && 2<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_3<=1 && 1<=Arg_3
4:n_start0(Arg_0,Arg_1,Arg_2,Arg_3) -> n_start___6(Arg_0,Arg_2,Arg_2,Arg_0)
5:n_start___6(Arg_0,Arg_1,Arg_2,Arg_3) -> n_lbl32___5(Arg_0,Arg_1,Arg_1,Arg_0-1):|:Arg_0<=Arg_3 && Arg_3<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && 2<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_0<=Arg_3 && Arg_3<=Arg_0
6:n_start___6(Arg_0,Arg_1,Arg_2,Arg_3) -> n_stop___4(Arg_0,Arg_1,Arg_1,Arg_0):|:Arg_0<=Arg_3 && Arg_3<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_0<=1 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_0<=Arg_3 && Arg_3<=Arg_0

Preprocessing

Found invariant Arg_3<=Arg_0 && Arg_0<=Arg_3 && Arg_2<=Arg_1 && Arg_1<=Arg_2 for location n_start___6

Found invariant Arg_3<=1 && 2+Arg_3<=Arg_0 && 1<=Arg_3 && 4<=Arg_0+Arg_3 && Arg_2<=Arg_1 && Arg_1<=Arg_2 && 3<=Arg_0 for location n_stop___1

Found invariant Arg_3<=1 && 1+Arg_3<=Arg_0 && Arg_0+Arg_3<=3 && 1<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && Arg_2<=Arg_1 && Arg_1<=Arg_2 && Arg_0<=2 && 2<=Arg_0 for location n_stop___2

Found invariant 2+Arg_3<=Arg_0 && 1<=Arg_3 && 4<=Arg_0+Arg_3 && Arg_2<=Arg_1 && Arg_1<=Arg_2 && 3<=Arg_0 for location n_lbl32___3

Found invariant 1+Arg_3<=Arg_0 && 1<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && Arg_2<=Arg_1 && Arg_1<=Arg_2 && 2<=Arg_0 for location n_lbl32___5

Found invariant Arg_3<=1 && Arg_3<=Arg_0 && Arg_0+Arg_3<=2 && Arg_0<=Arg_3 && Arg_2<=Arg_1 && Arg_1<=Arg_2 && Arg_0<=1 for location n_stop___4

Problem after Preprocessing

Start: n_start0
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars:
Locations: n_lbl32___3, n_lbl32___5, n_start0, n_start___6, n_stop___1, n_stop___2, n_stop___4
Transitions:
0:n_lbl32___3(Arg_0,Arg_1,Arg_2,Arg_3) -> n_lbl32___3(Arg_0,Arg_1,Arg_1,Arg_3-1):|:2+Arg_3<=Arg_0 && 1<=Arg_3 && 4<=Arg_0+Arg_3 && Arg_2<=Arg_1 && Arg_1<=Arg_2 && 3<=Arg_0 && 1+Arg_3<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && 1<=Arg_3 && 2+Arg_3<=Arg_0 && 1+Arg_3<=Arg_0 && 2<=Arg_3 && Arg_1<=Arg_2 && Arg_2<=Arg_1
1:n_lbl32___3(Arg_0,Arg_1,Arg_2,Arg_3) -> n_stop___1(Arg_0,Arg_1,Arg_1,1):|:2+Arg_3<=Arg_0 && 1<=Arg_3 && 4<=Arg_0+Arg_3 && Arg_2<=Arg_1 && Arg_1<=Arg_2 && 3<=Arg_0 && 1+Arg_3<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && 1<=Arg_3 && 2+Arg_3<=Arg_0 && 2<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_3<=1 && 1<=Arg_3
2:n_lbl32___5(Arg_0,Arg_1,Arg_2,Arg_3) -> n_lbl32___3(Arg_0,Arg_1,Arg_1,Arg_3-1):|:1+Arg_3<=Arg_0 && 1<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && Arg_2<=Arg_1 && Arg_1<=Arg_2 && 2<=Arg_0 && 1+Arg_3<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_0<=1+Arg_3 && 1+Arg_3<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && 2<=Arg_0 && 1+Arg_3<=Arg_0 && 2<=Arg_3 && Arg_1<=Arg_2 && Arg_2<=Arg_1
3:n_lbl32___5(Arg_0,Arg_1,Arg_2,Arg_3) -> n_stop___2(Arg_0,Arg_1,Arg_1,1):|:1+Arg_3<=Arg_0 && 1<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && Arg_2<=Arg_1 && Arg_1<=Arg_2 && 2<=Arg_0 && 1+Arg_3<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_0<=1+Arg_3 && 1+Arg_3<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && 2<=Arg_0 && 2<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_3<=1 && 1<=Arg_3
4:n_start0(Arg_0,Arg_1,Arg_2,Arg_3) -> n_start___6(Arg_0,Arg_2,Arg_2,Arg_0)
5:n_start___6(Arg_0,Arg_1,Arg_2,Arg_3) -> n_lbl32___5(Arg_0,Arg_1,Arg_1,Arg_0-1):|:Arg_3<=Arg_0 && Arg_0<=Arg_3 && Arg_2<=Arg_1 && Arg_1<=Arg_2 && Arg_0<=Arg_3 && Arg_3<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && 2<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_0<=Arg_3 && Arg_3<=Arg_0
6:n_start___6(Arg_0,Arg_1,Arg_2,Arg_3) -> n_stop___4(Arg_0,Arg_1,Arg_1,Arg_0):|:Arg_3<=Arg_0 && Arg_0<=Arg_3 && Arg_2<=Arg_1 && Arg_1<=Arg_2 && Arg_0<=Arg_3 && Arg_3<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_0<=1 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_0<=Arg_3 && Arg_3<=Arg_0

MPRF for transition 0:n_lbl32___3(Arg_0,Arg_1,Arg_2,Arg_3) -> n_lbl32___3(Arg_0,Arg_1,Arg_1,Arg_3-1):|:2+Arg_3<=Arg_0 && 1<=Arg_3 && 4<=Arg_0+Arg_3 && Arg_2<=Arg_1 && Arg_1<=Arg_2 && 3<=Arg_0 && 1+Arg_3<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && 1<=Arg_3 && 2+Arg_3<=Arg_0 && 1+Arg_3<=Arg_0 && 2<=Arg_3 && Arg_1<=Arg_2 && Arg_2<=Arg_1 of depth 1:

new bound:

Arg_0 {O(n)}

MPRF:

n_lbl32___3 [Arg_3 ]

All Bounds

Timebounds

Overall timebound:Arg_0+6 {O(n)}
0: n_lbl32___3->n_lbl32___3: Arg_0 {O(n)}
1: n_lbl32___3->n_stop___1: 1 {O(1)}
2: n_lbl32___5->n_lbl32___3: 1 {O(1)}
3: n_lbl32___5->n_stop___2: 1 {O(1)}
4: n_start0->n_start___6: 1 {O(1)}
5: n_start___6->n_lbl32___5: 1 {O(1)}
6: n_start___6->n_stop___4: 1 {O(1)}

Costbounds

Overall costbound: Arg_0+6 {O(n)}
0: n_lbl32___3->n_lbl32___3: Arg_0 {O(n)}
1: n_lbl32___3->n_stop___1: 1 {O(1)}
2: n_lbl32___5->n_lbl32___3: 1 {O(1)}
3: n_lbl32___5->n_stop___2: 1 {O(1)}
4: n_start0->n_start___6: 1 {O(1)}
5: n_start___6->n_lbl32___5: 1 {O(1)}
6: n_start___6->n_stop___4: 1 {O(1)}

Sizebounds

0: n_lbl32___3->n_lbl32___3, Arg_0: Arg_0 {O(n)}
0: n_lbl32___3->n_lbl32___3, Arg_1: Arg_2 {O(n)}
0: n_lbl32___3->n_lbl32___3, Arg_2: 2*Arg_2 {O(n)}
0: n_lbl32___3->n_lbl32___3, Arg_3: Arg_0 {O(n)}
1: n_lbl32___3->n_stop___1, Arg_0: 2*Arg_0 {O(n)}
1: n_lbl32___3->n_stop___1, Arg_1: 2*Arg_2 {O(n)}
1: n_lbl32___3->n_stop___1, Arg_2: 2*Arg_2 {O(n)}
1: n_lbl32___3->n_stop___1, Arg_3: 1 {O(1)}
2: n_lbl32___5->n_lbl32___3, Arg_0: Arg_0 {O(n)}
2: n_lbl32___5->n_lbl32___3, Arg_1: Arg_2 {O(n)}
2: n_lbl32___5->n_lbl32___3, Arg_2: Arg_2 {O(n)}
2: n_lbl32___5->n_lbl32___3, Arg_3: Arg_0 {O(n)}
3: n_lbl32___5->n_stop___2, Arg_0: 2 {O(1)}
3: n_lbl32___5->n_stop___2, Arg_1: Arg_2 {O(n)}
3: n_lbl32___5->n_stop___2, Arg_2: Arg_2 {O(n)}
3: n_lbl32___5->n_stop___2, Arg_3: 1 {O(1)}
4: n_start0->n_start___6, Arg_0: Arg_0 {O(n)}
4: n_start0->n_start___6, Arg_1: Arg_2 {O(n)}
4: n_start0->n_start___6, Arg_2: Arg_2 {O(n)}
4: n_start0->n_start___6, Arg_3: Arg_0 {O(n)}
5: n_start___6->n_lbl32___5, Arg_0: Arg_0 {O(n)}
5: n_start___6->n_lbl32___5, Arg_1: Arg_2 {O(n)}
5: n_start___6->n_lbl32___5, Arg_2: Arg_2 {O(n)}
5: n_start___6->n_lbl32___5, Arg_3: Arg_0 {O(n)}
6: n_start___6->n_stop___4, Arg_0: Arg_0 {O(n)}
6: n_start___6->n_stop___4, Arg_1: Arg_2 {O(n)}
6: n_start___6->n_stop___4, Arg_2: Arg_2 {O(n)}
6: n_start___6->n_stop___4, Arg_3: Arg_0 {O(n)}