Initial Problem

Start: start0
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5
Temp_Vars:
Locations: lbl62, lbl72, start, start0, stop
Transitions:
6:lbl62(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> lbl62(Arg_0,Arg_1-1,Arg_2,Arg_3,Arg_4,Arg_5):|:1<=Arg_1 && Arg_3<=Arg_0 && Arg_1+1<=Arg_0 && 0<=Arg_1 && 1<=Arg_3 && Arg_5<=Arg_0 && Arg_0<=Arg_5
5:lbl62(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> lbl72(Arg_0,Arg_1,Arg_2,Arg_3-1,Arg_4,Arg_5):|:Arg_3<=Arg_0 && 1<=Arg_0 && 1<=Arg_3 && Arg_1<=0 && 0<=Arg_1 && Arg_5<=Arg_0 && Arg_0<=Arg_5
4:lbl72(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> lbl62(Arg_0,Arg_5-1,Arg_2,Arg_3,Arg_4,Arg_5):|:1<=Arg_0 && 1<=Arg_3 && 0<=Arg_3 && Arg_3+1<=Arg_0 && Arg_1<=0 && 0<=Arg_1 && Arg_5<=Arg_0 && Arg_0<=Arg_5
3:lbl72(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> lbl72(Arg_0,Arg_5,Arg_2,Arg_3-1,Arg_4,Arg_5):|:1<=Arg_3 && Arg_0<=0 && 0<=Arg_3 && Arg_3+1<=Arg_0 && Arg_1<=0 && 0<=Arg_1 && Arg_5<=Arg_0 && Arg_0<=Arg_5
2:lbl72(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:1<=Arg_0 && Arg_3<=0 && 0<=Arg_3 && Arg_1<=0 && 0<=Arg_1 && Arg_5<=Arg_0 && Arg_0<=Arg_5
1:start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> lbl62(Arg_0,Arg_5-1,Arg_2,Arg_5,Arg_4,Arg_5):|:1<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_3<=Arg_4 && Arg_4<=Arg_3 && Arg_5<=Arg_0 && Arg_0<=Arg_5
0:start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> stop(Arg_0,Arg_1,Arg_2,Arg_5,Arg_4,Arg_5):|:Arg_0<=0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_3<=Arg_4 && Arg_4<=Arg_3 && Arg_5<=Arg_0 && Arg_0<=Arg_5
7:start0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> start(Arg_0,Arg_2,Arg_2,Arg_4,Arg_4,Arg_0)

Preprocessing

Cut unsatisfiable transition 3: lbl72->lbl72

Found invariant Arg_5<=Arg_0 && 1<=Arg_5 && 1<=Arg_3+Arg_5 && 1+Arg_3<=Arg_5 && 1<=Arg_1+Arg_5 && 1+Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1+Arg_3<=Arg_0 && 0<=Arg_3 && 0<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 1<=Arg_0+Arg_3 && Arg_1<=0 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 for location lbl72

Found invariant Arg_5<=Arg_0 && Arg_0<=Arg_5 && Arg_4<=Arg_3 && Arg_3<=Arg_4 && Arg_2<=Arg_1 && Arg_1<=Arg_2 for location start

Found invariant Arg_5<=Arg_0 && 1<=Arg_5 && 2<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 1<=Arg_1+Arg_5 && 1+Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && Arg_3<=Arg_0 && 1<=Arg_3 && 1<=Arg_1+Arg_3 && 2<=Arg_0+Arg_3 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 for location lbl62

Found invariant Arg_5<=Arg_0 && Arg_3<=Arg_5 && Arg_0<=Arg_5 && Arg_3<=0 && Arg_3<=Arg_0 for location stop

Problem after Preprocessing

Start: start0
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5
Temp_Vars:
Locations: lbl62, lbl72, start, start0, stop
Transitions:
6:lbl62(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> lbl62(Arg_0,Arg_1-1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_5<=Arg_0 && 1<=Arg_5 && 2<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 1<=Arg_1+Arg_5 && 1+Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && Arg_3<=Arg_0 && 1<=Arg_3 && 1<=Arg_1+Arg_3 && 2<=Arg_0+Arg_3 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 && 1<=Arg_1 && Arg_3<=Arg_0 && Arg_1+1<=Arg_0 && 0<=Arg_1 && 1<=Arg_3 && Arg_5<=Arg_0 && Arg_0<=Arg_5
5:lbl62(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> lbl72(Arg_0,Arg_1,Arg_2,Arg_3-1,Arg_4,Arg_5):|:Arg_5<=Arg_0 && 1<=Arg_5 && 2<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 1<=Arg_1+Arg_5 && 1+Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && Arg_3<=Arg_0 && 1<=Arg_3 && 1<=Arg_1+Arg_3 && 2<=Arg_0+Arg_3 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_3<=Arg_0 && 1<=Arg_0 && 1<=Arg_3 && Arg_1<=0 && 0<=Arg_1 && Arg_5<=Arg_0 && Arg_0<=Arg_5
4:lbl72(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> lbl62(Arg_0,Arg_5-1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_5<=Arg_0 && 1<=Arg_5 && 1<=Arg_3+Arg_5 && 1+Arg_3<=Arg_5 && 1<=Arg_1+Arg_5 && 1+Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1+Arg_3<=Arg_0 && 0<=Arg_3 && 0<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 1<=Arg_0+Arg_3 && Arg_1<=0 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 && 1<=Arg_0 && 1<=Arg_3 && 0<=Arg_3 && Arg_3+1<=Arg_0 && Arg_1<=0 && 0<=Arg_1 && Arg_5<=Arg_0 && Arg_0<=Arg_5
2:lbl72(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_5<=Arg_0 && 1<=Arg_5 && 1<=Arg_3+Arg_5 && 1+Arg_3<=Arg_5 && 1<=Arg_1+Arg_5 && 1+Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1+Arg_3<=Arg_0 && 0<=Arg_3 && 0<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 1<=Arg_0+Arg_3 && Arg_1<=0 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 && 1<=Arg_0 && Arg_3<=0 && 0<=Arg_3 && Arg_1<=0 && 0<=Arg_1 && Arg_5<=Arg_0 && Arg_0<=Arg_5
1:start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> lbl62(Arg_0,Arg_5-1,Arg_2,Arg_5,Arg_4,Arg_5):|:Arg_5<=Arg_0 && Arg_0<=Arg_5 && Arg_4<=Arg_3 && Arg_3<=Arg_4 && Arg_2<=Arg_1 && Arg_1<=Arg_2 && 1<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_3<=Arg_4 && Arg_4<=Arg_3 && Arg_5<=Arg_0 && Arg_0<=Arg_5
0:start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> stop(Arg_0,Arg_1,Arg_2,Arg_5,Arg_4,Arg_5):|:Arg_5<=Arg_0 && Arg_0<=Arg_5 && Arg_4<=Arg_3 && Arg_3<=Arg_4 && Arg_2<=Arg_1 && Arg_1<=Arg_2 && Arg_0<=0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_3<=Arg_4 && Arg_4<=Arg_3 && Arg_5<=Arg_0 && Arg_0<=Arg_5
7:start0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> start(Arg_0,Arg_2,Arg_2,Arg_4,Arg_4,Arg_0)

MPRF for transition 5:lbl62(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> lbl72(Arg_0,Arg_1,Arg_2,Arg_3-1,Arg_4,Arg_5):|:Arg_5<=Arg_0 && 1<=Arg_5 && 2<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 1<=Arg_1+Arg_5 && 1+Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && Arg_3<=Arg_0 && 1<=Arg_3 && 1<=Arg_1+Arg_3 && 2<=Arg_0+Arg_3 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_3<=Arg_0 && 1<=Arg_0 && 1<=Arg_3 && Arg_1<=0 && 0<=Arg_1 && Arg_5<=Arg_0 && Arg_0<=Arg_5 of depth 1:

new bound:

Arg_0 {O(n)}

MPRF:

lbl72 [Arg_3 ]
lbl62 [Arg_3 ]

MPRF for transition 4:lbl72(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> lbl62(Arg_0,Arg_5-1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_5<=Arg_0 && 1<=Arg_5 && 1<=Arg_3+Arg_5 && 1+Arg_3<=Arg_5 && 1<=Arg_1+Arg_5 && 1+Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1+Arg_3<=Arg_0 && 0<=Arg_3 && 0<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 1<=Arg_0+Arg_3 && Arg_1<=0 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 && 1<=Arg_0 && 1<=Arg_3 && 0<=Arg_3 && Arg_3+1<=Arg_0 && Arg_1<=0 && 0<=Arg_1 && Arg_5<=Arg_0 && Arg_0<=Arg_5 of depth 1:

new bound:

Arg_0 {O(n)}

MPRF:

lbl72 [Arg_3+1 ]
lbl62 [Arg_3 ]

MPRF for transition 6:lbl62(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> lbl62(Arg_0,Arg_1-1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_5<=Arg_0 && 1<=Arg_5 && 2<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 1<=Arg_1+Arg_5 && 1+Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && Arg_3<=Arg_0 && 1<=Arg_3 && 1<=Arg_1+Arg_3 && 2<=Arg_0+Arg_3 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 && 1<=Arg_1 && Arg_3<=Arg_0 && Arg_1+1<=Arg_0 && 0<=Arg_1 && 1<=Arg_3 && Arg_5<=Arg_0 && Arg_0<=Arg_5 of depth 1:

new bound:

2*Arg_0*Arg_0+2*Arg_0+1 {O(n^2)}

MPRF:

lbl72 [Arg_1 ]
lbl62 [Arg_1+1 ]

All Bounds

Timebounds

Overall timebound:2*Arg_0*Arg_0+4*Arg_0+5 {O(n^2)}
5: lbl62->lbl72: Arg_0 {O(n)}
6: lbl62->lbl62: 2*Arg_0*Arg_0+2*Arg_0+1 {O(n^2)}
2: lbl72->stop: 1 {O(1)}
4: lbl72->lbl62: Arg_0 {O(n)}
0: start->stop: 1 {O(1)}
1: start->lbl62: 1 {O(1)}
7: start0->start: 1 {O(1)}

Costbounds

Overall costbound: 2*Arg_0*Arg_0+4*Arg_0+5 {O(n^2)}
5: lbl62->lbl72: Arg_0 {O(n)}
6: lbl62->lbl62: 2*Arg_0*Arg_0+2*Arg_0+1 {O(n^2)}
2: lbl72->stop: 1 {O(1)}
4: lbl72->lbl62: Arg_0 {O(n)}
0: start->stop: 1 {O(1)}
1: start->lbl62: 1 {O(1)}
7: start0->start: 1 {O(1)}

Sizebounds

5: lbl62->lbl72, Arg_0: 2*Arg_0 {O(n)}
5: lbl62->lbl72, Arg_1: 0 {O(1)}
5: lbl62->lbl72, Arg_2: 2*Arg_2 {O(n)}
5: lbl62->lbl72, Arg_3: 2*Arg_0 {O(n)}
5: lbl62->lbl72, Arg_4: 2*Arg_4 {O(n)}
5: lbl62->lbl72, Arg_5: 2*Arg_0 {O(n)}
6: lbl62->lbl62, Arg_0: 2*Arg_0 {O(n)}
6: lbl62->lbl62, Arg_1: 3*Arg_0 {O(n)}
6: lbl62->lbl62, Arg_2: 2*Arg_2 {O(n)}
6: lbl62->lbl62, Arg_3: 2*Arg_0 {O(n)}
6: lbl62->lbl62, Arg_4: 2*Arg_4 {O(n)}
6: lbl62->lbl62, Arg_5: 2*Arg_0 {O(n)}
2: lbl72->stop, Arg_0: 2*Arg_0 {O(n)}
2: lbl72->stop, Arg_1: 0 {O(1)}
2: lbl72->stop, Arg_2: 2*Arg_2 {O(n)}
2: lbl72->stop, Arg_3: 0 {O(1)}
2: lbl72->stop, Arg_4: 2*Arg_4 {O(n)}
2: lbl72->stop, Arg_5: 2*Arg_0 {O(n)}
4: lbl72->lbl62, Arg_0: 2*Arg_0 {O(n)}
4: lbl72->lbl62, Arg_1: 2*Arg_0 {O(n)}
4: lbl72->lbl62, Arg_2: 2*Arg_2 {O(n)}
4: lbl72->lbl62, Arg_3: 2*Arg_0 {O(n)}
4: lbl72->lbl62, Arg_4: 2*Arg_4 {O(n)}
4: lbl72->lbl62, Arg_5: 2*Arg_0 {O(n)}
0: start->stop, Arg_0: Arg_0 {O(n)}
0: start->stop, Arg_1: Arg_2 {O(n)}
0: start->stop, Arg_2: Arg_2 {O(n)}
0: start->stop, Arg_3: Arg_0 {O(n)}
0: start->stop, Arg_4: Arg_4 {O(n)}
0: start->stop, Arg_5: Arg_0 {O(n)}
1: start->lbl62, Arg_0: Arg_0 {O(n)}
1: start->lbl62, Arg_1: Arg_0 {O(n)}
1: start->lbl62, Arg_2: Arg_2 {O(n)}
1: start->lbl62, Arg_3: Arg_0 {O(n)}
1: start->lbl62, Arg_4: Arg_4 {O(n)}
1: start->lbl62, Arg_5: Arg_0 {O(n)}
7: start0->start, Arg_0: Arg_0 {O(n)}
7: start0->start, Arg_1: Arg_2 {O(n)}
7: start0->start, Arg_2: Arg_2 {O(n)}
7: start0->start, Arg_3: Arg_4 {O(n)}
7: start0->start, Arg_4: Arg_4 {O(n)}
7: start0->start, Arg_5: Arg_0 {O(n)}