Initial Problem
Start: start0
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5
Temp_Vars:
Locations: lbl101, start, start0, stop
Transitions:
4:lbl101(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> lbl101(Arg_0,1+Arg_1,Arg_2,Arg_3,1+Arg_4,Arg_5):|:Arg_1<=Arg_0 && 1<=Arg_4+Arg_1 && Arg_1<=Arg_0+1 && 2<=Arg_1 && Arg_4+1<=Arg_1 && Arg_3<=Arg_0 && Arg_0<=Arg_3
5:lbl101(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> lbl101(Arg_0,1+Arg_1,Arg_2,Arg_3,Arg_4-1,Arg_5):|:Arg_1<=Arg_0 && 1<=Arg_4+Arg_1 && Arg_1<=Arg_0+1 && 2<=Arg_1 && Arg_4+1<=Arg_1 && Arg_3<=Arg_0 && Arg_0<=Arg_3
3:lbl101(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):|:0<=Arg_4+Arg_0 && 1<=Arg_0 && Arg_4<=Arg_0 && Arg_1<=Arg_0+1 && Arg_0+1<=Arg_1 && Arg_3<=Arg_0 && Arg_0<=Arg_3
1:start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> lbl101(Arg_0,2,Arg_2,Arg_3,1,Arg_5):|:1<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_3<=Arg_0 && Arg_0<=Arg_3 && Arg_4<=Arg_5 && Arg_5<=Arg_4
2:start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> lbl101(Arg_0,2,Arg_2,Arg_3,-1,Arg_5):|:1<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_3<=Arg_0 && Arg_0<=Arg_3 && Arg_4<=Arg_5 && Arg_5<=Arg_4
0:start(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_0<=0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_3<=Arg_0 && Arg_0<=Arg_3 && Arg_4<=Arg_5 && Arg_5<=Arg_4
6:start0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> start(Arg_0,Arg_2,Arg_2,Arg_0,Arg_5,Arg_5)
Preprocessing
Found invariant Arg_5<=Arg_4 && Arg_4<=Arg_5 && Arg_3<=Arg_0 && Arg_0<=Arg_3 && Arg_2<=Arg_1 && Arg_1<=Arg_2 for location start
Found invariant Arg_4<=Arg_3 && 1+Arg_4<=Arg_1 && Arg_4<=Arg_0 && 0<=Arg_3+Arg_4 && 1<=Arg_1+Arg_4 && 0<=Arg_0+Arg_4 && Arg_3<=Arg_0 && 1<=Arg_3 && 3<=Arg_1+Arg_3 && Arg_1<=1+Arg_3 && 2<=Arg_0+Arg_3 && Arg_0<=Arg_3 && Arg_1<=1+Arg_0 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1<=Arg_0 for location lbl101
Found invariant Arg_3<=Arg_0 && Arg_0<=Arg_3 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: lbl101, start, start0, stop
Transitions:
4:lbl101(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> lbl101(Arg_0,1+Arg_1,Arg_2,Arg_3,1+Arg_4,Arg_5):|:Arg_4<=Arg_3 && 1+Arg_4<=Arg_1 && Arg_4<=Arg_0 && 0<=Arg_3+Arg_4 && 1<=Arg_1+Arg_4 && 0<=Arg_0+Arg_4 && Arg_3<=Arg_0 && 1<=Arg_3 && 3<=Arg_1+Arg_3 && Arg_1<=1+Arg_3 && 2<=Arg_0+Arg_3 && Arg_0<=Arg_3 && Arg_1<=1+Arg_0 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_1<=Arg_0 && 1<=Arg_4+Arg_1 && Arg_1<=Arg_0+1 && 2<=Arg_1 && Arg_4+1<=Arg_1 && Arg_3<=Arg_0 && Arg_0<=Arg_3
5:lbl101(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> lbl101(Arg_0,1+Arg_1,Arg_2,Arg_3,Arg_4-1,Arg_5):|:Arg_4<=Arg_3 && 1+Arg_4<=Arg_1 && Arg_4<=Arg_0 && 0<=Arg_3+Arg_4 && 1<=Arg_1+Arg_4 && 0<=Arg_0+Arg_4 && Arg_3<=Arg_0 && 1<=Arg_3 && 3<=Arg_1+Arg_3 && Arg_1<=1+Arg_3 && 2<=Arg_0+Arg_3 && Arg_0<=Arg_3 && Arg_1<=1+Arg_0 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_1<=Arg_0 && 1<=Arg_4+Arg_1 && Arg_1<=Arg_0+1 && 2<=Arg_1 && Arg_4+1<=Arg_1 && Arg_3<=Arg_0 && Arg_0<=Arg_3
3:lbl101(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_4<=Arg_3 && 1+Arg_4<=Arg_1 && Arg_4<=Arg_0 && 0<=Arg_3+Arg_4 && 1<=Arg_1+Arg_4 && 0<=Arg_0+Arg_4 && Arg_3<=Arg_0 && 1<=Arg_3 && 3<=Arg_1+Arg_3 && Arg_1<=1+Arg_3 && 2<=Arg_0+Arg_3 && Arg_0<=Arg_3 && Arg_1<=1+Arg_0 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1<=Arg_0 && 0<=Arg_4+Arg_0 && 1<=Arg_0 && Arg_4<=Arg_0 && Arg_1<=Arg_0+1 && Arg_0+1<=Arg_1 && Arg_3<=Arg_0 && Arg_0<=Arg_3
1:start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> lbl101(Arg_0,2,Arg_2,Arg_3,1,Arg_5):|:Arg_5<=Arg_4 && Arg_4<=Arg_5 && Arg_3<=Arg_0 && Arg_0<=Arg_3 && Arg_2<=Arg_1 && Arg_1<=Arg_2 && 1<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_3<=Arg_0 && Arg_0<=Arg_3 && Arg_4<=Arg_5 && Arg_5<=Arg_4
2:start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> lbl101(Arg_0,2,Arg_2,Arg_3,-1,Arg_5):|:Arg_5<=Arg_4 && Arg_4<=Arg_5 && Arg_3<=Arg_0 && Arg_0<=Arg_3 && Arg_2<=Arg_1 && Arg_1<=Arg_2 && 1<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_3<=Arg_0 && Arg_0<=Arg_3 && Arg_4<=Arg_5 && Arg_5<=Arg_4
0:start(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_4 && Arg_4<=Arg_5 && Arg_3<=Arg_0 && Arg_0<=Arg_3 && Arg_2<=Arg_1 && Arg_1<=Arg_2 && Arg_0<=0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_3<=Arg_0 && Arg_0<=Arg_3 && Arg_4<=Arg_5 && Arg_5<=Arg_4
6:start0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> start(Arg_0,Arg_2,Arg_2,Arg_0,Arg_5,Arg_5)
MPRF for transition 4:lbl101(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> lbl101(Arg_0,1+Arg_1,Arg_2,Arg_3,1+Arg_4,Arg_5):|:Arg_4<=Arg_3 && 1+Arg_4<=Arg_1 && Arg_4<=Arg_0 && 0<=Arg_3+Arg_4 && 1<=Arg_1+Arg_4 && 0<=Arg_0+Arg_4 && Arg_3<=Arg_0 && 1<=Arg_3 && 3<=Arg_1+Arg_3 && Arg_1<=1+Arg_3 && 2<=Arg_0+Arg_3 && Arg_0<=Arg_3 && Arg_1<=1+Arg_0 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_1<=Arg_0 && 1<=Arg_4+Arg_1 && Arg_1<=Arg_0+1 && 2<=Arg_1 && Arg_4+1<=Arg_1 && Arg_3<=Arg_0 && Arg_0<=Arg_3 of depth 1:
new bound:
4*Arg_0+10 {O(n)}
MPRF:
lbl101 [2*Arg_3+2-Arg_1-Arg_4 ]
MPRF for transition 5:lbl101(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> lbl101(Arg_0,1+Arg_1,Arg_2,Arg_3,Arg_4-1,Arg_5):|:Arg_4<=Arg_3 && 1+Arg_4<=Arg_1 && Arg_4<=Arg_0 && 0<=Arg_3+Arg_4 && 1<=Arg_1+Arg_4 && 0<=Arg_0+Arg_4 && Arg_3<=Arg_0 && 1<=Arg_3 && 3<=Arg_1+Arg_3 && Arg_1<=1+Arg_3 && 2<=Arg_0+Arg_3 && Arg_0<=Arg_3 && Arg_1<=1+Arg_0 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_1<=Arg_0 && 1<=Arg_4+Arg_1 && Arg_1<=Arg_0+1 && 2<=Arg_1 && Arg_4+1<=Arg_1 && Arg_3<=Arg_0 && Arg_0<=Arg_3 of depth 1:
new bound:
4*Arg_0+10 {O(n)}
MPRF:
lbl101 [2*Arg_3+Arg_4+2-Arg_1 ]
All Bounds
Timebounds
Overall timebound:8*Arg_0+25 {O(n)}
3: lbl101->stop: 1 {O(1)}
4: lbl101->lbl101: 4*Arg_0+10 {O(n)}
5: lbl101->lbl101: 4*Arg_0+10 {O(n)}
0: start->stop: 1 {O(1)}
1: start->lbl101: 1 {O(1)}
2: start->lbl101: 1 {O(1)}
6: start0->start: 1 {O(1)}
Costbounds
Overall costbound: 8*Arg_0+25 {O(n)}
3: lbl101->stop: 1 {O(1)}
4: lbl101->lbl101: 4*Arg_0+10 {O(n)}
5: lbl101->lbl101: 4*Arg_0+10 {O(n)}
0: start->stop: 1 {O(1)}
1: start->lbl101: 1 {O(1)}
2: start->lbl101: 1 {O(1)}
6: start0->start: 1 {O(1)}
Sizebounds
3: lbl101->stop, Arg_0: 10*Arg_0 {O(n)}
3: lbl101->stop, Arg_1: 16*Arg_0+60 {O(n)}
3: lbl101->stop, Arg_2: 10*Arg_2 {O(n)}
3: lbl101->stop, Arg_3: 10*Arg_0 {O(n)}
3: lbl101->stop, Arg_4: 16*Arg_0+50 {O(n)}
3: lbl101->stop, Arg_5: 10*Arg_5 {O(n)}
4: lbl101->lbl101, Arg_0: 4*Arg_0 {O(n)}
4: lbl101->lbl101, Arg_1: 8*Arg_0+28 {O(n)}
4: lbl101->lbl101, Arg_2: 4*Arg_2 {O(n)}
4: lbl101->lbl101, Arg_3: 4*Arg_0 {O(n)}
4: lbl101->lbl101, Arg_4: 8*Arg_0+24 {O(n)}
4: lbl101->lbl101, Arg_5: 4*Arg_5 {O(n)}
5: lbl101->lbl101, Arg_0: 4*Arg_0 {O(n)}
5: lbl101->lbl101, Arg_1: 8*Arg_0+28 {O(n)}
5: lbl101->lbl101, Arg_2: 4*Arg_2 {O(n)}
5: lbl101->lbl101, Arg_3: 4*Arg_0 {O(n)}
5: lbl101->lbl101, Arg_4: 8*Arg_0+24 {O(n)}
5: lbl101->lbl101, Arg_5: 4*Arg_5 {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_5 {O(n)}
0: start->stop, Arg_5: Arg_5 {O(n)}
1: start->lbl101, Arg_0: Arg_0 {O(n)}
1: start->lbl101, Arg_1: 2 {O(1)}
1: start->lbl101, Arg_2: Arg_2 {O(n)}
1: start->lbl101, Arg_3: Arg_0 {O(n)}
1: start->lbl101, Arg_4: 1 {O(1)}
1: start->lbl101, Arg_5: Arg_5 {O(n)}
2: start->lbl101, Arg_0: Arg_0 {O(n)}
2: start->lbl101, Arg_1: 2 {O(1)}
2: start->lbl101, Arg_2: Arg_2 {O(n)}
2: start->lbl101, Arg_3: Arg_0 {O(n)}
2: start->lbl101, Arg_4: 1 {O(1)}
2: start->lbl101, Arg_5: Arg_5 {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_0 {O(n)}
6: start0->start, Arg_4: Arg_5 {O(n)}
6: start0->start, Arg_5: Arg_5 {O(n)}