Initial Problem

Start: start0
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5, Arg_6, Arg_7
Temp_Vars: I
Locations: lbl131, lbl142, lbl91, start, start0, stop
Transitions:
10:lbl131(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl131(Arg_0,Arg_1,Arg_2,Arg_3,1+Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_4+1<=Arg_6 && Arg_4<=Arg_6 && 1<=Arg_4 && Arg_6<=Arg_0 && Arg_3<=Arg_0 && Arg_0<=Arg_3
8:lbl131(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl142(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6-1,Arg_7):|:1<=Arg_6 && Arg_6<=Arg_0 && Arg_4<=Arg_6 && Arg_6<=Arg_4 && Arg_3<=Arg_0 && Arg_0<=Arg_3
9:lbl131(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl91(Arg_0,I,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_4+1<=Arg_6 && Arg_4<=Arg_6 && 1<=Arg_4 && Arg_6<=Arg_0 && Arg_3<=Arg_0 && Arg_0<=Arg_3
7:lbl142(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl131(Arg_0,Arg_1,Arg_2,Arg_3,1,Arg_5,Arg_6,Arg_7):|:2<=Arg_4 && 0<=Arg_4 && Arg_4<=Arg_0 && Arg_6+1<=Arg_4 && Arg_4<=Arg_6+1 && Arg_3<=Arg_0 && Arg_0<=Arg_3
5:lbl142(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl142(Arg_0,Arg_1,Arg_2,Arg_3,0,Arg_5,Arg_6-1,Arg_7):|:1<=Arg_0 && Arg_6<=0 && 0<=Arg_6 && Arg_4<=1 && 1<=Arg_4 && Arg_3<=Arg_0 && Arg_0<=Arg_3
6:lbl142(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl91(Arg_0,I,Arg_2,Arg_3,0,Arg_5,Arg_6,Arg_7):|:2<=Arg_4 && 0<=Arg_4 && Arg_4<=Arg_0 && Arg_6+1<=Arg_4 && Arg_4<=Arg_6+1 && Arg_3<=Arg_0 && Arg_0<=Arg_3
4:lbl142(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):|:0<=Arg_0 && Arg_6+1<=0 && 0<=1+Arg_6 && Arg_4<=0 && 0<=Arg_4 && Arg_3<=Arg_0 && Arg_0<=Arg_3
11:lbl91(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl131(Arg_0,Arg_1,Arg_2,Arg_3,1+Arg_4,Arg_5,Arg_6,Arg_7):|:0<=Arg_4 && Arg_4+1<=Arg_6 && Arg_6<=Arg_0 && Arg_3<=Arg_0 && Arg_0<=Arg_3
3:start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl131(Arg_0,Arg_1,Arg_2,Arg_3,1,Arg_5,Arg_3,Arg_7):|: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 && 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) -> lbl142(Arg_0,Arg_1,Arg_2,Arg_3,0,Arg_5,Arg_3-1,Arg_7):|:Arg_3<=0 && 0<=Arg_3 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && Arg_4<=Arg_5 && Arg_5<=Arg_4 && Arg_6<=Arg_7 && Arg_7<=Arg_6
2:start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl91(Arg_0,I,Arg_2,Arg_3,0,Arg_5,Arg_3,Arg_7):|: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 && 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_3,Arg_7):|:Arg_0+1<=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 && Arg_6<=Arg_7 && Arg_7<=Arg_6
12: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_0,Arg_5,Arg_5,Arg_7,Arg_7)

Preprocessing

Found invariant Arg_7<=Arg_6 && Arg_6<=Arg_7 && 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 1+Arg_6<=Arg_4 && 1+Arg_6<=Arg_3 && 1+Arg_6<=Arg_0 && 0<=1+Arg_6 && 0<=1+Arg_4+Arg_6 && Arg_4<=1+Arg_6 && 0<=1+Arg_3+Arg_6 && 0<=1+Arg_0+Arg_6 && Arg_4<=Arg_3 && Arg_4<=Arg_0 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && 0<=Arg_0+Arg_4 && Arg_3<=Arg_0 && 0<=Arg_3 && 0<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 0<=Arg_0 for location lbl142

Found invariant Arg_6<=Arg_3 && Arg_6<=Arg_0 && 1<=Arg_6 && 1<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 2<=Arg_3+Arg_6 && 2<=Arg_0+Arg_6 && 1+Arg_4<=Arg_3 && 1+Arg_4<=Arg_0 && 0<=Arg_4 && 1<=Arg_3+Arg_4 && 1<=Arg_0+Arg_4 && Arg_3<=Arg_0 && 1<=Arg_3 && 2<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0 for location lbl91

Found invariant Arg_6<=Arg_3 && Arg_6<=Arg_0 && 1<=Arg_6 && 2<=Arg_4+Arg_6 && Arg_4<=Arg_6 && 2<=Arg_3+Arg_6 && 2<=Arg_0+Arg_6 && Arg_4<=Arg_3 && Arg_4<=Arg_0 && 1<=Arg_4 && 2<=Arg_3+Arg_4 && 2<=Arg_0+Arg_4 && Arg_3<=Arg_0 && 1<=Arg_3 && 2<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0 for location lbl131

Found invariant 1+Arg_6<=0 && Arg_6<=Arg_3 && Arg_6<=Arg_0 && 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, Arg_6, Arg_7
Temp_Vars: I
Locations: lbl131, lbl142, lbl91, start, start0, stop
Transitions:
10:lbl131(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl131(Arg_0,Arg_1,Arg_2,Arg_3,1+Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_6<=Arg_3 && Arg_6<=Arg_0 && 1<=Arg_6 && 2<=Arg_4+Arg_6 && Arg_4<=Arg_6 && 2<=Arg_3+Arg_6 && 2<=Arg_0+Arg_6 && Arg_4<=Arg_3 && Arg_4<=Arg_0 && 1<=Arg_4 && 2<=Arg_3+Arg_4 && 2<=Arg_0+Arg_4 && Arg_3<=Arg_0 && 1<=Arg_3 && 2<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0 && Arg_4+1<=Arg_6 && Arg_4<=Arg_6 && 1<=Arg_4 && Arg_6<=Arg_0 && Arg_3<=Arg_0 && Arg_0<=Arg_3
8:lbl131(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl142(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6-1,Arg_7):|:Arg_6<=Arg_3 && Arg_6<=Arg_0 && 1<=Arg_6 && 2<=Arg_4+Arg_6 && Arg_4<=Arg_6 && 2<=Arg_3+Arg_6 && 2<=Arg_0+Arg_6 && Arg_4<=Arg_3 && Arg_4<=Arg_0 && 1<=Arg_4 && 2<=Arg_3+Arg_4 && 2<=Arg_0+Arg_4 && Arg_3<=Arg_0 && 1<=Arg_3 && 2<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0 && 1<=Arg_6 && Arg_6<=Arg_0 && Arg_4<=Arg_6 && Arg_6<=Arg_4 && Arg_3<=Arg_0 && Arg_0<=Arg_3
9:lbl131(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl91(Arg_0,I,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_6<=Arg_3 && Arg_6<=Arg_0 && 1<=Arg_6 && 2<=Arg_4+Arg_6 && Arg_4<=Arg_6 && 2<=Arg_3+Arg_6 && 2<=Arg_0+Arg_6 && Arg_4<=Arg_3 && Arg_4<=Arg_0 && 1<=Arg_4 && 2<=Arg_3+Arg_4 && 2<=Arg_0+Arg_4 && Arg_3<=Arg_0 && 1<=Arg_3 && 2<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0 && Arg_4+1<=Arg_6 && Arg_4<=Arg_6 && 1<=Arg_4 && Arg_6<=Arg_0 && Arg_3<=Arg_0 && Arg_0<=Arg_3
7:lbl142(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl131(Arg_0,Arg_1,Arg_2,Arg_3,1,Arg_5,Arg_6,Arg_7):|:1+Arg_6<=Arg_4 && 1+Arg_6<=Arg_3 && 1+Arg_6<=Arg_0 && 0<=1+Arg_6 && 0<=1+Arg_4+Arg_6 && Arg_4<=1+Arg_6 && 0<=1+Arg_3+Arg_6 && 0<=1+Arg_0+Arg_6 && Arg_4<=Arg_3 && Arg_4<=Arg_0 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && 0<=Arg_0+Arg_4 && Arg_3<=Arg_0 && 0<=Arg_3 && 0<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 0<=Arg_0 && 2<=Arg_4 && 0<=Arg_4 && Arg_4<=Arg_0 && Arg_6+1<=Arg_4 && Arg_4<=Arg_6+1 && Arg_3<=Arg_0 && Arg_0<=Arg_3
5:lbl142(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl142(Arg_0,Arg_1,Arg_2,Arg_3,0,Arg_5,Arg_6-1,Arg_7):|:1+Arg_6<=Arg_4 && 1+Arg_6<=Arg_3 && 1+Arg_6<=Arg_0 && 0<=1+Arg_6 && 0<=1+Arg_4+Arg_6 && Arg_4<=1+Arg_6 && 0<=1+Arg_3+Arg_6 && 0<=1+Arg_0+Arg_6 && Arg_4<=Arg_3 && Arg_4<=Arg_0 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && 0<=Arg_0+Arg_4 && Arg_3<=Arg_0 && 0<=Arg_3 && 0<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 0<=Arg_0 && 1<=Arg_0 && Arg_6<=0 && 0<=Arg_6 && Arg_4<=1 && 1<=Arg_4 && Arg_3<=Arg_0 && Arg_0<=Arg_3
6:lbl142(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl91(Arg_0,I,Arg_2,Arg_3,0,Arg_5,Arg_6,Arg_7):|:1+Arg_6<=Arg_4 && 1+Arg_6<=Arg_3 && 1+Arg_6<=Arg_0 && 0<=1+Arg_6 && 0<=1+Arg_4+Arg_6 && Arg_4<=1+Arg_6 && 0<=1+Arg_3+Arg_6 && 0<=1+Arg_0+Arg_6 && Arg_4<=Arg_3 && Arg_4<=Arg_0 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && 0<=Arg_0+Arg_4 && Arg_3<=Arg_0 && 0<=Arg_3 && 0<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 0<=Arg_0 && 2<=Arg_4 && 0<=Arg_4 && Arg_4<=Arg_0 && Arg_6+1<=Arg_4 && Arg_4<=Arg_6+1 && Arg_3<=Arg_0 && Arg_0<=Arg_3
4:lbl142(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):|:1+Arg_6<=Arg_4 && 1+Arg_6<=Arg_3 && 1+Arg_6<=Arg_0 && 0<=1+Arg_6 && 0<=1+Arg_4+Arg_6 && Arg_4<=1+Arg_6 && 0<=1+Arg_3+Arg_6 && 0<=1+Arg_0+Arg_6 && Arg_4<=Arg_3 && Arg_4<=Arg_0 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && 0<=Arg_0+Arg_4 && Arg_3<=Arg_0 && 0<=Arg_3 && 0<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 0<=Arg_0 && 0<=Arg_0 && Arg_6+1<=0 && 0<=1+Arg_6 && Arg_4<=0 && 0<=Arg_4 && Arg_3<=Arg_0 && Arg_0<=Arg_3
11:lbl91(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl131(Arg_0,Arg_1,Arg_2,Arg_3,1+Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_6<=Arg_3 && Arg_6<=Arg_0 && 1<=Arg_6 && 1<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 2<=Arg_3+Arg_6 && 2<=Arg_0+Arg_6 && 1+Arg_4<=Arg_3 && 1+Arg_4<=Arg_0 && 0<=Arg_4 && 1<=Arg_3+Arg_4 && 1<=Arg_0+Arg_4 && Arg_3<=Arg_0 && 1<=Arg_3 && 2<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0 && 0<=Arg_4 && Arg_4+1<=Arg_6 && Arg_6<=Arg_0 && Arg_3<=Arg_0 && Arg_0<=Arg_3
3:start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl131(Arg_0,Arg_1,Arg_2,Arg_3,1,Arg_5,Arg_3,Arg_7):|:Arg_7<=Arg_6 && Arg_6<=Arg_7 && 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 && 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) -> lbl142(Arg_0,Arg_1,Arg_2,Arg_3,0,Arg_5,Arg_3-1,Arg_7):|:Arg_7<=Arg_6 && Arg_6<=Arg_7 && 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_3<=0 && 0<=Arg_3 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && Arg_4<=Arg_5 && Arg_5<=Arg_4 && Arg_6<=Arg_7 && Arg_7<=Arg_6
2:start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl91(Arg_0,I,Arg_2,Arg_3,0,Arg_5,Arg_3,Arg_7):|:Arg_7<=Arg_6 && Arg_6<=Arg_7 && 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 && 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_3,Arg_7):|:Arg_7<=Arg_6 && Arg_6<=Arg_7 && 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+1<=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 && Arg_6<=Arg_7 && Arg_7<=Arg_6
12: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_0,Arg_5,Arg_5,Arg_7,Arg_7)

MPRF for transition 8:lbl131(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl142(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6-1,Arg_7):|:Arg_6<=Arg_3 && Arg_6<=Arg_0 && 1<=Arg_6 && 2<=Arg_4+Arg_6 && Arg_4<=Arg_6 && 2<=Arg_3+Arg_6 && 2<=Arg_0+Arg_6 && Arg_4<=Arg_3 && Arg_4<=Arg_0 && 1<=Arg_4 && 2<=Arg_3+Arg_4 && 2<=Arg_0+Arg_4 && Arg_3<=Arg_0 && 1<=Arg_3 && 2<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0 && 1<=Arg_6 && Arg_6<=Arg_0 && Arg_4<=Arg_6 && Arg_6<=Arg_4 && Arg_3<=Arg_0 && Arg_0<=Arg_3 of depth 1:

new bound:

2*Arg_0 {O(n)}

MPRF:

lbl142 [Arg_4-1 ]
lbl91 [Arg_6 ]
lbl131 [Arg_6 ]

MPRF for transition 5:lbl142(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl142(Arg_0,Arg_1,Arg_2,Arg_3,0,Arg_5,Arg_6-1,Arg_7):|:1+Arg_6<=Arg_4 && 1+Arg_6<=Arg_3 && 1+Arg_6<=Arg_0 && 0<=1+Arg_6 && 0<=1+Arg_4+Arg_6 && Arg_4<=1+Arg_6 && 0<=1+Arg_3+Arg_6 && 0<=1+Arg_0+Arg_6 && Arg_4<=Arg_3 && Arg_4<=Arg_0 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && 0<=Arg_0+Arg_4 && Arg_3<=Arg_0 && 0<=Arg_3 && 0<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 0<=Arg_0 && 1<=Arg_0 && Arg_6<=0 && 0<=Arg_6 && Arg_4<=1 && 1<=Arg_4 && Arg_3<=Arg_0 && Arg_0<=Arg_3 of depth 1:

new bound:

2*Arg_0 {O(n)}

MPRF:

lbl142 [Arg_6+1 ]
lbl91 [Arg_6 ]
lbl131 [Arg_6 ]

MPRF for transition 6:lbl142(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl91(Arg_0,I,Arg_2,Arg_3,0,Arg_5,Arg_6,Arg_7):|:1+Arg_6<=Arg_4 && 1+Arg_6<=Arg_3 && 1+Arg_6<=Arg_0 && 0<=1+Arg_6 && 0<=1+Arg_4+Arg_6 && Arg_4<=1+Arg_6 && 0<=1+Arg_3+Arg_6 && 0<=1+Arg_0+Arg_6 && Arg_4<=Arg_3 && Arg_4<=Arg_0 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && 0<=Arg_0+Arg_4 && Arg_3<=Arg_0 && 0<=Arg_3 && 0<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 0<=Arg_0 && 2<=Arg_4 && 0<=Arg_4 && Arg_4<=Arg_0 && Arg_6+1<=Arg_4 && Arg_4<=Arg_6+1 && Arg_3<=Arg_0 && Arg_0<=Arg_3 of depth 1:

new bound:

2*Arg_0+2 {O(n)}

MPRF:

lbl142 [Arg_4+1 ]
lbl91 [Arg_6+1 ]
lbl131 [Arg_6+1 ]

MPRF for transition 7:lbl142(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl131(Arg_0,Arg_1,Arg_2,Arg_3,1,Arg_5,Arg_6,Arg_7):|:1+Arg_6<=Arg_4 && 1+Arg_6<=Arg_3 && 1+Arg_6<=Arg_0 && 0<=1+Arg_6 && 0<=1+Arg_4+Arg_6 && Arg_4<=1+Arg_6 && 0<=1+Arg_3+Arg_6 && 0<=1+Arg_0+Arg_6 && Arg_4<=Arg_3 && Arg_4<=Arg_0 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && 0<=Arg_0+Arg_4 && Arg_3<=Arg_0 && 0<=Arg_3 && 0<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 0<=Arg_0 && 2<=Arg_4 && 0<=Arg_4 && Arg_4<=Arg_0 && Arg_6+1<=Arg_4 && Arg_4<=Arg_6+1 && Arg_3<=Arg_0 && Arg_0<=Arg_3 of depth 1:

new bound:

2*Arg_0+2 {O(n)}

MPRF:

lbl142 [Arg_4+1 ]
lbl91 [Arg_6+1 ]
lbl131 [Arg_6+1 ]

MPRF for transition 9:lbl131(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl91(Arg_0,I,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_6<=Arg_3 && Arg_6<=Arg_0 && 1<=Arg_6 && 2<=Arg_4+Arg_6 && Arg_4<=Arg_6 && 2<=Arg_3+Arg_6 && 2<=Arg_0+Arg_6 && Arg_4<=Arg_3 && Arg_4<=Arg_0 && 1<=Arg_4 && 2<=Arg_3+Arg_4 && 2<=Arg_0+Arg_4 && Arg_3<=Arg_0 && 1<=Arg_3 && 2<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0 && Arg_4+1<=Arg_6 && Arg_4<=Arg_6 && 1<=Arg_4 && Arg_6<=Arg_0 && Arg_3<=Arg_0 && Arg_0<=Arg_3 of depth 1:

new bound:

16*Arg_0*Arg_0+22*Arg_0+6 {O(n^2)}

MPRF:

lbl142 [0 ]
lbl91 [Arg_6-Arg_4 ]
lbl131 [Arg_6+1-Arg_4 ]

MPRF for transition 10:lbl131(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl131(Arg_0,Arg_1,Arg_2,Arg_3,1+Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_6<=Arg_3 && Arg_6<=Arg_0 && 1<=Arg_6 && 2<=Arg_4+Arg_6 && Arg_4<=Arg_6 && 2<=Arg_3+Arg_6 && 2<=Arg_0+Arg_6 && Arg_4<=Arg_3 && Arg_4<=Arg_0 && 1<=Arg_4 && 2<=Arg_3+Arg_4 && 2<=Arg_0+Arg_4 && Arg_3<=Arg_0 && 1<=Arg_3 && 2<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0 && Arg_4+1<=Arg_6 && Arg_4<=Arg_6 && 1<=Arg_4 && Arg_6<=Arg_0 && Arg_3<=Arg_0 && Arg_0<=Arg_3 of depth 1:

new bound:

16*Arg_0*Arg_0+22*Arg_0+6 {O(n^2)}

MPRF:

lbl142 [0 ]
lbl91 [Arg_6-Arg_4 ]
lbl131 [Arg_6+1-Arg_4 ]

MPRF for transition 11:lbl91(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl131(Arg_0,Arg_1,Arg_2,Arg_3,1+Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_6<=Arg_3 && Arg_6<=Arg_0 && 1<=Arg_6 && 1<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 2<=Arg_3+Arg_6 && 2<=Arg_0+Arg_6 && 1+Arg_4<=Arg_3 && 1+Arg_4<=Arg_0 && 0<=Arg_4 && 1<=Arg_3+Arg_4 && 1<=Arg_0+Arg_4 && Arg_3<=Arg_0 && 1<=Arg_3 && 2<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0 && 0<=Arg_4 && Arg_4+1<=Arg_6 && Arg_6<=Arg_0 && Arg_3<=Arg_0 && Arg_0<=Arg_3 of depth 1:

new bound:

16*Arg_0*Arg_0+20*Arg_0+3 {O(n^2)}

MPRF:

lbl142 [Arg_6-Arg_4 ]
lbl91 [Arg_6-Arg_4 ]
lbl131 [Arg_6-Arg_4 ]

All Bounds

Timebounds

Overall timebound:48*Arg_0*Arg_0+72*Arg_0+25 {O(n^2)}
8: lbl131->lbl142: 2*Arg_0 {O(n)}
9: lbl131->lbl91: 16*Arg_0*Arg_0+22*Arg_0+6 {O(n^2)}
10: lbl131->lbl131: 16*Arg_0*Arg_0+22*Arg_0+6 {O(n^2)}
4: lbl142->stop: 1 {O(1)}
5: lbl142->lbl142: 2*Arg_0 {O(n)}
6: lbl142->lbl91: 2*Arg_0+2 {O(n)}
7: lbl142->lbl131: 2*Arg_0+2 {O(n)}
11: lbl91->lbl131: 16*Arg_0*Arg_0+20*Arg_0+3 {O(n^2)}
0: start->stop: 1 {O(1)}
1: start->lbl142: 1 {O(1)}
2: start->lbl91: 1 {O(1)}
3: start->lbl131: 1 {O(1)}
12: start0->start: 1 {O(1)}

Costbounds

Overall costbound: 48*Arg_0*Arg_0+72*Arg_0+25 {O(n^2)}
8: lbl131->lbl142: 2*Arg_0 {O(n)}
9: lbl131->lbl91: 16*Arg_0*Arg_0+22*Arg_0+6 {O(n^2)}
10: lbl131->lbl131: 16*Arg_0*Arg_0+22*Arg_0+6 {O(n^2)}
4: lbl142->stop: 1 {O(1)}
5: lbl142->lbl142: 2*Arg_0 {O(n)}
6: lbl142->lbl91: 2*Arg_0+2 {O(n)}
7: lbl142->lbl131: 2*Arg_0+2 {O(n)}
11: lbl91->lbl131: 16*Arg_0*Arg_0+20*Arg_0+3 {O(n^2)}
0: start->stop: 1 {O(1)}
1: start->lbl142: 1 {O(1)}
2: start->lbl91: 1 {O(1)}
3: start->lbl131: 1 {O(1)}
12: start0->start: 1 {O(1)}

Sizebounds

8: lbl131->lbl142, Arg_0: 4*Arg_0 {O(n)}
8: lbl131->lbl142, Arg_2: 4*Arg_2 {O(n)}
8: lbl131->lbl142, Arg_3: 4*Arg_0 {O(n)}
8: lbl131->lbl142, Arg_4: 64*Arg_0*Arg_0+84*Arg_0+28 {O(n^2)}
8: lbl131->lbl142, Arg_5: 4*Arg_5 {O(n)}
8: lbl131->lbl142, Arg_6: 4*Arg_0 {O(n)}
8: lbl131->lbl142, Arg_7: 4*Arg_7 {O(n)}
9: lbl131->lbl91, Arg_0: 4*Arg_0 {O(n)}
9: lbl131->lbl91, Arg_2: 4*Arg_2 {O(n)}
9: lbl131->lbl91, Arg_3: 4*Arg_0 {O(n)}
9: lbl131->lbl91, Arg_4: 32*Arg_0*Arg_0+42*Arg_0+13 {O(n^2)}
9: lbl131->lbl91, Arg_5: 4*Arg_5 {O(n)}
9: lbl131->lbl91, Arg_6: 4*Arg_0 {O(n)}
9: lbl131->lbl91, Arg_7: 4*Arg_7 {O(n)}
10: lbl131->lbl131, Arg_0: 4*Arg_0 {O(n)}
10: lbl131->lbl131, Arg_2: 4*Arg_2 {O(n)}
10: lbl131->lbl131, Arg_3: 4*Arg_0 {O(n)}
10: lbl131->lbl131, Arg_4: 32*Arg_0*Arg_0+42*Arg_0+13 {O(n^2)}
10: lbl131->lbl131, Arg_5: 4*Arg_5 {O(n)}
10: lbl131->lbl131, Arg_6: 4*Arg_0 {O(n)}
10: lbl131->lbl131, Arg_7: 4*Arg_7 {O(n)}
4: lbl142->stop, Arg_0: 4*Arg_0 {O(n)}
4: lbl142->stop, Arg_2: 5*Arg_2 {O(n)}
4: lbl142->stop, Arg_3: 4*Arg_0 {O(n)}
4: lbl142->stop, Arg_4: 0 {O(1)}
4: lbl142->stop, Arg_5: 5*Arg_5 {O(n)}
4: lbl142->stop, Arg_6: 1 {O(1)}
4: lbl142->stop, Arg_7: 5*Arg_7 {O(n)}
5: lbl142->lbl142, Arg_0: 4*Arg_0 {O(n)}
5: lbl142->lbl142, Arg_2: 4*Arg_2 {O(n)}
5: lbl142->lbl142, Arg_3: 4*Arg_0 {O(n)}
5: lbl142->lbl142, Arg_4: 0 {O(1)}
5: lbl142->lbl142, Arg_5: 4*Arg_5 {O(n)}
5: lbl142->lbl142, Arg_6: 1 {O(1)}
5: lbl142->lbl142, Arg_7: 4*Arg_7 {O(n)}
6: lbl142->lbl91, Arg_0: 4*Arg_0 {O(n)}
6: lbl142->lbl91, Arg_2: 4*Arg_2 {O(n)}
6: lbl142->lbl91, Arg_3: 4*Arg_0 {O(n)}
6: lbl142->lbl91, Arg_4: 0 {O(1)}
6: lbl142->lbl91, Arg_5: 4*Arg_5 {O(n)}
6: lbl142->lbl91, Arg_6: 4*Arg_0 {O(n)}
6: lbl142->lbl91, Arg_7: 4*Arg_7 {O(n)}
7: lbl142->lbl131, Arg_0: 4*Arg_0 {O(n)}
7: lbl142->lbl131, Arg_2: 4*Arg_2 {O(n)}
7: lbl142->lbl131, Arg_3: 4*Arg_0 {O(n)}
7: lbl142->lbl131, Arg_4: 1 {O(1)}
7: lbl142->lbl131, Arg_5: 4*Arg_5 {O(n)}
7: lbl142->lbl131, Arg_6: 4*Arg_0 {O(n)}
7: lbl142->lbl131, Arg_7: 4*Arg_7 {O(n)}
11: lbl91->lbl131, Arg_0: 4*Arg_0 {O(n)}
11: lbl91->lbl131, Arg_2: 4*Arg_2 {O(n)}
11: lbl91->lbl131, Arg_3: 4*Arg_0 {O(n)}
11: lbl91->lbl131, Arg_4: 32*Arg_0*Arg_0+42*Arg_0+13 {O(n^2)}
11: lbl91->lbl131, Arg_5: 4*Arg_5 {O(n)}
11: lbl91->lbl131, Arg_6: 4*Arg_0 {O(n)}
11: lbl91->lbl131, Arg_7: 4*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_0 {O(n)}
0: start->stop, Arg_4: Arg_5 {O(n)}
0: start->stop, Arg_5: Arg_5 {O(n)}
0: start->stop, Arg_6: Arg_0 {O(n)}
0: start->stop, Arg_7: Arg_7 {O(n)}
1: start->lbl142, Arg_0: 0 {O(1)}
1: start->lbl142, Arg_1: Arg_2 {O(n)}
1: start->lbl142, Arg_2: Arg_2 {O(n)}
1: start->lbl142, Arg_3: 0 {O(1)}
1: start->lbl142, Arg_4: 0 {O(1)}
1: start->lbl142, Arg_5: Arg_5 {O(n)}
1: start->lbl142, Arg_6: 1 {O(1)}
1: start->lbl142, Arg_7: Arg_7 {O(n)}
2: start->lbl91, Arg_0: Arg_0 {O(n)}
2: start->lbl91, Arg_2: Arg_2 {O(n)}
2: start->lbl91, Arg_3: Arg_0 {O(n)}
2: start->lbl91, Arg_4: 0 {O(1)}
2: start->lbl91, Arg_5: Arg_5 {O(n)}
2: start->lbl91, Arg_6: Arg_0 {O(n)}
2: start->lbl91, Arg_7: Arg_7 {O(n)}
3: start->lbl131, Arg_0: Arg_0 {O(n)}
3: start->lbl131, Arg_1: Arg_2 {O(n)}
3: start->lbl131, Arg_2: Arg_2 {O(n)}
3: start->lbl131, Arg_3: Arg_0 {O(n)}
3: start->lbl131, Arg_4: 1 {O(1)}
3: start->lbl131, Arg_5: Arg_5 {O(n)}
3: start->lbl131, Arg_6: Arg_0 {O(n)}
3: start->lbl131, Arg_7: Arg_7 {O(n)}
12: start0->start, Arg_0: Arg_0 {O(n)}
12: start0->start, Arg_1: Arg_2 {O(n)}
12: start0->start, Arg_2: Arg_2 {O(n)}
12: start0->start, Arg_3: Arg_0 {O(n)}
12: start0->start, Arg_4: Arg_5 {O(n)}
12: start0->start, Arg_5: Arg_5 {O(n)}
12: start0->start, Arg_6: Arg_7 {O(n)}
12: start0->start, Arg_7: Arg_7 {O(n)}