Initial Problem

Start: start0
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5, Arg_6, Arg_7
Temp_Vars:
Locations: lbl72, start, start0, stop
Transitions:
5:lbl72(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl72(Arg_0,Arg_1-1,Arg_2,1+Arg_5,Arg_4,Arg_3,Arg_5,Arg_7):|:Arg_0+Arg_4+Arg_2<=2*Arg_1+Arg_5 && Arg_5<=100 && Arg_0<=100 && Arg_0+Arg_4+Arg_2<=101+Arg_5+Arg_1 && Arg_5<=Arg_1+1 && 1+Arg_1<=Arg_2 && Arg_4<=Arg_2 && Arg_6+1+Arg_5+Arg_1<=Arg_0+Arg_4+Arg_2 && Arg_0+Arg_4+Arg_2<=Arg_6+1+Arg_5+Arg_1 && Arg_3+Arg_5+Arg_1<=Arg_0+Arg_4+Arg_2 && Arg_0+Arg_4+Arg_2<=Arg_3+Arg_5+Arg_1
3:lbl72(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:101<=Arg_5 && Arg_0<=100 && Arg_0+Arg_4+Arg_2<=101+Arg_5+Arg_1 && Arg_5<=Arg_1+1 && 1+Arg_1<=Arg_2 && Arg_4<=Arg_2 && Arg_6+1+Arg_5+Arg_1<=Arg_0+Arg_4+Arg_2 && Arg_0+Arg_4+Arg_2<=Arg_6+1+Arg_5+Arg_1 && Arg_3+Arg_5+Arg_1<=Arg_0+Arg_4+Arg_2 && Arg_0+Arg_4+Arg_2<=Arg_3+Arg_5+Arg_1
4:lbl72(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_5+2*Arg_1+1<=Arg_0+Arg_4+Arg_2 && Arg_0<=100 && Arg_0+Arg_4+Arg_2<=101+Arg_5+Arg_1 && Arg_5<=Arg_1+1 && 1+Arg_1<=Arg_2 && Arg_4<=Arg_2 && Arg_6+1+Arg_5+Arg_1<=Arg_0+Arg_4+Arg_2 && Arg_0+Arg_4+Arg_2<=Arg_6+1+Arg_5+Arg_1 && Arg_3+Arg_5+Arg_1<=Arg_0+Arg_4+Arg_2 && Arg_0+Arg_4+Arg_2<=Arg_3+Arg_5+Arg_1
2:start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl72(Arg_0,Arg_1-1,Arg_2,1+Arg_5,Arg_4,Arg_3,Arg_5,Arg_7):|:Arg_4<=Arg_2 && Arg_0<=100 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_3<=Arg_4 && Arg_4<=Arg_3 && Arg_5<=Arg_0 && Arg_0<=Arg_5 && Arg_6<=Arg_7 && Arg_7<=Arg_6
0:start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:101<=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 && Arg_6<=Arg_7 && Arg_7<=Arg_6
1:start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_2+1<=Arg_4 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_3<=Arg_4 && Arg_4<=Arg_3 && Arg_5<=Arg_0 && Arg_0<=Arg_5 && Arg_6<=Arg_7 && Arg_7<=Arg_6
6:start0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> start(Arg_0,Arg_2,Arg_2,Arg_4,Arg_4,Arg_0,Arg_7,Arg_7)

Preprocessing

Found invariant Arg_6<=100 && 1+Arg_6<=Arg_3 && Arg_3+Arg_6<=201 && Arg_0+Arg_6<=200 && Arg_3<=1+Arg_6 && Arg_4<=Arg_2 && Arg_3<=101 && Arg_0+Arg_3<=201 && 1+Arg_1<=Arg_2 && Arg_0<=100 for location lbl72

Found invariant Arg_7<=Arg_6 && Arg_6<=Arg_7 && 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_1<=Arg_2 for location stop

Problem after Preprocessing

Start: start0
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5, Arg_6, Arg_7
Temp_Vars:
Locations: lbl72, start, start0, stop
Transitions:
5:lbl72(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl72(Arg_0,Arg_1-1,Arg_2,1+Arg_5,Arg_4,Arg_3,Arg_5,Arg_7):|:Arg_6<=100 && 1+Arg_6<=Arg_3 && Arg_3+Arg_6<=201 && Arg_0+Arg_6<=200 && Arg_3<=1+Arg_6 && Arg_4<=Arg_2 && Arg_3<=101 && Arg_0+Arg_3<=201 && 1+Arg_1<=Arg_2 && Arg_0<=100 && Arg_0+Arg_4+Arg_2<=2*Arg_1+Arg_5 && Arg_5<=100 && Arg_0<=100 && Arg_0+Arg_4+Arg_2<=101+Arg_5+Arg_1 && Arg_5<=Arg_1+1 && 1+Arg_1<=Arg_2 && Arg_4<=Arg_2 && Arg_6+1+Arg_5+Arg_1<=Arg_0+Arg_4+Arg_2 && Arg_0+Arg_4+Arg_2<=Arg_6+1+Arg_5+Arg_1 && Arg_3+Arg_5+Arg_1<=Arg_0+Arg_4+Arg_2 && Arg_0+Arg_4+Arg_2<=Arg_3+Arg_5+Arg_1
3:lbl72(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_6<=100 && 1+Arg_6<=Arg_3 && Arg_3+Arg_6<=201 && Arg_0+Arg_6<=200 && Arg_3<=1+Arg_6 && Arg_4<=Arg_2 && Arg_3<=101 && Arg_0+Arg_3<=201 && 1+Arg_1<=Arg_2 && Arg_0<=100 && 101<=Arg_5 && Arg_0<=100 && Arg_0+Arg_4+Arg_2<=101+Arg_5+Arg_1 && Arg_5<=Arg_1+1 && 1+Arg_1<=Arg_2 && Arg_4<=Arg_2 && Arg_6+1+Arg_5+Arg_1<=Arg_0+Arg_4+Arg_2 && Arg_0+Arg_4+Arg_2<=Arg_6+1+Arg_5+Arg_1 && Arg_3+Arg_5+Arg_1<=Arg_0+Arg_4+Arg_2 && Arg_0+Arg_4+Arg_2<=Arg_3+Arg_5+Arg_1
4:lbl72(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_6<=100 && 1+Arg_6<=Arg_3 && Arg_3+Arg_6<=201 && Arg_0+Arg_6<=200 && Arg_3<=1+Arg_6 && Arg_4<=Arg_2 && Arg_3<=101 && Arg_0+Arg_3<=201 && 1+Arg_1<=Arg_2 && Arg_0<=100 && Arg_5+2*Arg_1+1<=Arg_0+Arg_4+Arg_2 && Arg_0<=100 && Arg_0+Arg_4+Arg_2<=101+Arg_5+Arg_1 && Arg_5<=Arg_1+1 && 1+Arg_1<=Arg_2 && Arg_4<=Arg_2 && Arg_6+1+Arg_5+Arg_1<=Arg_0+Arg_4+Arg_2 && Arg_0+Arg_4+Arg_2<=Arg_6+1+Arg_5+Arg_1 && Arg_3+Arg_5+Arg_1<=Arg_0+Arg_4+Arg_2 && Arg_0+Arg_4+Arg_2<=Arg_3+Arg_5+Arg_1
2:start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl72(Arg_0,Arg_1-1,Arg_2,1+Arg_5,Arg_4,Arg_3,Arg_5,Arg_7):|:Arg_7<=Arg_6 && Arg_6<=Arg_7 && 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_4<=Arg_2 && Arg_0<=100 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_3<=Arg_4 && Arg_4<=Arg_3 && Arg_5<=Arg_0 && Arg_0<=Arg_5 && Arg_6<=Arg_7 && Arg_7<=Arg_6
0:start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_7<=Arg_6 && Arg_6<=Arg_7 && Arg_5<=Arg_0 && Arg_0<=Arg_5 && Arg_4<=Arg_3 && Arg_3<=Arg_4 && Arg_2<=Arg_1 && Arg_1<=Arg_2 && 101<=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 && Arg_6<=Arg_7 && Arg_7<=Arg_6
1:start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_7<=Arg_6 && Arg_6<=Arg_7 && 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_2+1<=Arg_4 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_3<=Arg_4 && Arg_4<=Arg_3 && Arg_5<=Arg_0 && Arg_0<=Arg_5 && Arg_6<=Arg_7 && Arg_7<=Arg_6
6:start0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> start(Arg_0,Arg_2,Arg_2,Arg_4,Arg_4,Arg_0,Arg_7,Arg_7)

MPRF for transition 5:lbl72(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl72(Arg_0,Arg_1-1,Arg_2,1+Arg_5,Arg_4,Arg_3,Arg_5,Arg_7):|:Arg_6<=100 && 1+Arg_6<=Arg_3 && Arg_3+Arg_6<=201 && Arg_0+Arg_6<=200 && Arg_3<=1+Arg_6 && Arg_4<=Arg_2 && Arg_3<=101 && Arg_0+Arg_3<=201 && 1+Arg_1<=Arg_2 && Arg_0<=100 && Arg_0+Arg_4+Arg_2<=2*Arg_1+Arg_5 && Arg_5<=100 && Arg_0<=100 && Arg_0+Arg_4+Arg_2<=101+Arg_5+Arg_1 && Arg_5<=Arg_1+1 && 1+Arg_1<=Arg_2 && Arg_4<=Arg_2 && Arg_6+1+Arg_5+Arg_1<=Arg_0+Arg_4+Arg_2 && Arg_0+Arg_4+Arg_2<=Arg_6+1+Arg_5+Arg_1 && Arg_3+Arg_5+Arg_1<=Arg_0+Arg_4+Arg_2 && Arg_0+Arg_4+Arg_2<=Arg_3+Arg_5+Arg_1 of depth 1:

new bound:

Arg_0+Arg_2+Arg_4+105 {O(n)}

MPRF:

lbl72 [Arg_1+103-Arg_3-Arg_5 ]

All Bounds

Timebounds

Overall timebound:Arg_0+Arg_2+Arg_4+111 {O(n)}
3: lbl72->stop: 1 {O(1)}
4: lbl72->stop: 1 {O(1)}
5: lbl72->lbl72: Arg_0+Arg_2+Arg_4+105 {O(n)}
0: start->stop: 1 {O(1)}
1: start->stop: 1 {O(1)}
2: start->lbl72: 1 {O(1)}
6: start0->start: 1 {O(1)}

Costbounds

Overall costbound: Arg_0+Arg_2+Arg_4+111 {O(n)}
3: lbl72->stop: 1 {O(1)}
4: lbl72->stop: 1 {O(1)}
5: lbl72->lbl72: Arg_0+Arg_2+Arg_4+105 {O(n)}
0: start->stop: 1 {O(1)}
1: start->stop: 1 {O(1)}
2: start->lbl72: 1 {O(1)}
6: start0->start: 1 {O(1)}

Sizebounds

3: lbl72->stop, Arg_0: 2*Arg_0 {O(n)}
3: lbl72->stop, Arg_1: 3*Arg_2+Arg_0+Arg_4+107 {O(n)}
3: lbl72->stop, Arg_2: 2*Arg_2 {O(n)}
3: lbl72->stop, Arg_3: 2*Arg_4+3*Arg_0+Arg_2+107 {O(n)}
3: lbl72->stop, Arg_4: 2*Arg_4 {O(n)}
3: lbl72->stop, Arg_5: 2*Arg_0+3*Arg_4+Arg_2+106 {O(n)}
3: lbl72->stop, Arg_6: 3*Arg_0+3*Arg_4+Arg_2+106 {O(n)}
3: lbl72->stop, Arg_7: 2*Arg_7 {O(n)}
4: lbl72->stop, Arg_0: 2*Arg_0 {O(n)}
4: lbl72->stop, Arg_1: 3*Arg_2+Arg_0+Arg_4+107 {O(n)}
4: lbl72->stop, Arg_2: 2*Arg_2 {O(n)}
4: lbl72->stop, Arg_3: 2*Arg_4+3*Arg_0+Arg_2+107 {O(n)}
4: lbl72->stop, Arg_4: 2*Arg_4 {O(n)}
4: lbl72->stop, Arg_5: 2*Arg_0+3*Arg_4+Arg_2+106 {O(n)}
4: lbl72->stop, Arg_6: 3*Arg_0+3*Arg_4+Arg_2+106 {O(n)}
4: lbl72->stop, Arg_7: 2*Arg_7 {O(n)}
5: lbl72->lbl72, Arg_0: Arg_0 {O(n)}
5: lbl72->lbl72, Arg_1: 2*Arg_2+Arg_0+Arg_4+106 {O(n)}
5: lbl72->lbl72, Arg_2: Arg_2 {O(n)}
5: lbl72->lbl72, Arg_3: 2*Arg_0+2*Arg_4+Arg_2+106 {O(n)}
5: lbl72->lbl72, Arg_4: Arg_4 {O(n)}
5: lbl72->lbl72, Arg_5: 2*Arg_0+2*Arg_4+Arg_2+106 {O(n)}
5: lbl72->lbl72, Arg_6: 2*Arg_0+3*Arg_4+Arg_2+106 {O(n)}
5: lbl72->lbl72, Arg_7: Arg_7 {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_4 {O(n)}
0: start->stop, Arg_4: Arg_4 {O(n)}
0: start->stop, Arg_5: Arg_0 {O(n)}
0: start->stop, Arg_6: Arg_7 {O(n)}
0: start->stop, Arg_7: Arg_7 {O(n)}
1: start->stop, Arg_0: Arg_0 {O(n)}
1: start->stop, Arg_1: Arg_2 {O(n)}
1: start->stop, Arg_2: Arg_2 {O(n)}
1: start->stop, Arg_3: Arg_4 {O(n)}
1: start->stop, Arg_4: Arg_4 {O(n)}
1: start->stop, Arg_5: Arg_0 {O(n)}
1: start->stop, Arg_6: Arg_7 {O(n)}
1: start->stop, Arg_7: Arg_7 {O(n)}
2: start->lbl72, Arg_0: Arg_0 {O(n)}
2: start->lbl72, Arg_1: Arg_2+1 {O(n)}
2: start->lbl72, Arg_2: Arg_2 {O(n)}
2: start->lbl72, Arg_3: Arg_0+1 {O(n)}
2: start->lbl72, Arg_4: Arg_4 {O(n)}
2: start->lbl72, Arg_5: Arg_4 {O(n)}
2: start->lbl72, Arg_6: Arg_0 {O(n)}
2: start->lbl72, Arg_7: Arg_7 {O(n)}
6: start0->start, Arg_0: Arg_0 {O(n)}
6: start0->start, Arg_1: Arg_2 {O(n)}
6: start0->start, Arg_2: Arg_2 {O(n)}
6: start0->start, Arg_3: Arg_4 {O(n)}
6: start0->start, Arg_4: Arg_4 {O(n)}
6: start0->start, Arg_5: Arg_0 {O(n)}
6: start0->start, Arg_6: Arg_7 {O(n)}
6: start0->start, Arg_7: Arg_7 {O(n)}