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: lbl111, lbl16, lbl82, start, start0, stop
Transitions:
3:lbl111(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl111(Arg_0,Arg_1,Arg_2,Arg_3-Arg_5,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_5<=Arg_3 && Arg_5+1<=Arg_0 && Arg_5+Arg_3<=Arg_0 && Arg_1<=Arg_0 && 1<=Arg_5 && 0<=Arg_3 && Arg_7<=Arg_0 && Arg_0<=Arg_7
4:lbl111(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl82(Arg_0,Arg_1,Arg_2,Arg_7,Arg_4,Arg_5-1,Arg_6,Arg_7):|:Arg_3+1<=Arg_5 && Arg_3+1<=0 && Arg_5+1<=Arg_0 && Arg_5+Arg_3<=Arg_0 && Arg_1<=Arg_0 && 1<=Arg_5 && 0<=Arg_3 && Arg_7<=Arg_0 && Arg_0<=Arg_7
5:lbl111(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl82(Arg_0,Arg_1,Arg_2,Arg_7,Arg_4,Arg_5-1,Arg_6,Arg_7):|:Arg_3+1<=Arg_5 && 1<=Arg_3 && Arg_5+1<=Arg_0 && Arg_5+Arg_3<=Arg_0 && Arg_1<=Arg_0 && 1<=Arg_5 && 0<=Arg_3 && Arg_7<=Arg_0 && Arg_0<=Arg_7
6:lbl111(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl82(Arg_0,Arg_1-Arg_5,Arg_2,Arg_7,Arg_4,Arg_5-1,Arg_6,Arg_7):|:1<=Arg_5 && Arg_5+1<=Arg_0 && Arg_5<=Arg_0 && Arg_1<=Arg_0 && Arg_3<=0 && 0<=Arg_3 && Arg_7<=Arg_0 && Arg_0<=Arg_7
2:lbl16(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):|:2<=Arg_0 && Arg_1+1<=Arg_0 && Arg_5<=0 && 0<=Arg_5 && Arg_7<=Arg_0 && Arg_0<=Arg_7 && Arg_3<=Arg_0 && Arg_0<=Arg_3
8:lbl82(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl111(Arg_0,Arg_1,Arg_2,Arg_3-Arg_5,Arg_4,Arg_5,Arg_6,Arg_7):|:1<=Arg_5 && Arg_5<=Arg_0 && 0<=Arg_5 && Arg_5+2<=Arg_0 && Arg_1<=Arg_0 && Arg_1+1<=Arg_0+Arg_5 && Arg_7<=Arg_0 && Arg_0<=Arg_7 && Arg_3<=Arg_0 && Arg_0<=Arg_3
7:lbl82(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl16(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:2<=Arg_0 && Arg_1<=Arg_0 && Arg_1+1<=Arg_0 && Arg_5<=0 && 0<=Arg_5 && Arg_7<=Arg_0 && Arg_0<=Arg_7 && Arg_3<=Arg_0 && Arg_0<=Arg_3
9:lbl82(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl82(Arg_0,Arg_1,Arg_2,Arg_7,Arg_4,Arg_5-1,Arg_6,Arg_7):|:Arg_0+1<=Arg_5 && 1<=Arg_0 && 0<=Arg_5 && Arg_5+2<=Arg_0 && Arg_1<=Arg_0 && Arg_1+1<=Arg_0+Arg_5 && Arg_7<=Arg_0 && Arg_0<=Arg_7 && Arg_3<=Arg_0 && Arg_0<=Arg_3
10:lbl82(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl82(Arg_0,Arg_1,Arg_2,Arg_7,Arg_4,Arg_5-1,Arg_6,Arg_7):|:1<=Arg_5 && Arg_0+1<=0 && 0<=Arg_5 && Arg_5+2<=Arg_0 && Arg_1<=Arg_0 && Arg_1+1<=Arg_0+Arg_5 && Arg_7<=Arg_0 && Arg_0<=Arg_7 && Arg_3<=Arg_0 && Arg_0<=Arg_3
11:lbl82(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl82(Arg_0,Arg_1-Arg_5,Arg_2,Arg_7,Arg_4,Arg_5-1,Arg_6,Arg_7):|:1<=Arg_5 && 0<=Arg_5 && Arg_5+2<=0 && Arg_1<=0 && Arg_1+1<=Arg_5 && Arg_3<=0 && 0<=Arg_3 && Arg_7<=0 && 0<=Arg_7 && Arg_0<=0 && 0<=Arg_0
1:start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl111(Arg_0,Arg_7,Arg_2,1,Arg_4,Arg_7-1,Arg_6,Arg_7):|:2<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_3<=Arg_4 && Arg_4<=Arg_3 && Arg_5<=Arg_6 && Arg_6<=Arg_5 && Arg_7<=Arg_0 && Arg_0<=Arg_7
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_0<=1 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_3<=Arg_4 && Arg_4<=Arg_3 && Arg_5<=Arg_6 && Arg_6<=Arg_5 && Arg_7<=Arg_0 && Arg_0<=Arg_7
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_4,Arg_4,Arg_6,Arg_6,Arg_0)

Preprocessing

Cut unsatisfiable transition 4: lbl111->lbl82

Cut unsatisfiable transition 9: lbl82->lbl82

Cut unsatisfiable transition 10: lbl82->lbl82

Cut unsatisfiable transition 11: lbl82->lbl82

Found invariant Arg_7<=Arg_0 && Arg_0<=Arg_7 && Arg_6<=Arg_5 && Arg_5<=Arg_6 && Arg_4<=Arg_3 && Arg_3<=Arg_4 && Arg_2<=Arg_1 && Arg_1<=Arg_2 for location start

Found invariant Arg_7<=Arg_0 && 2<=Arg_7 && 3<=Arg_5+Arg_7 && 1+Arg_5<=Arg_7 && 2<=Arg_3+Arg_7 && 1+Arg_3<=Arg_7 && Arg_1<=Arg_7 && 4<=Arg_0+Arg_7 && Arg_0<=Arg_7 && 1+Arg_5<=Arg_0 && 1<=Arg_5 && 1<=Arg_3+Arg_5 && 3<=Arg_0+Arg_5 && 1+Arg_3<=Arg_0 && 2<=Arg_0+Arg_3 && Arg_1<=Arg_0 && 2<=Arg_0 for location lbl111

Found invariant Arg_7<=Arg_0 && Arg_0<=Arg_7 for location stop

Found invariant Arg_7<=Arg_3 && Arg_7<=Arg_0 && 2<=Arg_7 && 2<=Arg_5+Arg_7 && 2+Arg_5<=Arg_7 && 4<=Arg_3+Arg_7 && Arg_3<=Arg_7 && 1+Arg_1<=Arg_7 && 4<=Arg_0+Arg_7 && Arg_0<=Arg_7 && Arg_5<=0 && 2+Arg_5<=Arg_3 && 2+Arg_5<=Arg_0 && 0<=Arg_5 && 2<=Arg_3+Arg_5 && 2<=Arg_0+Arg_5 && Arg_3<=Arg_0 && 2<=Arg_3 && 1+Arg_1<=Arg_3 && 4<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1+Arg_1<=Arg_0 && 2<=Arg_0 for location lbl16

Found invariant Arg_7<=Arg_3 && Arg_7<=Arg_0 && 2<=Arg_7 && 2<=Arg_5+Arg_7 && 2+Arg_5<=Arg_7 && 4<=Arg_3+Arg_7 && Arg_3<=Arg_7 && Arg_1<=Arg_7 && 4<=Arg_0+Arg_7 && Arg_0<=Arg_7 && 2+Arg_5<=Arg_3 && 2+Arg_5<=Arg_0 && 0<=Arg_5 && 2<=Arg_3+Arg_5 && 2<=Arg_0+Arg_5 && Arg_3<=Arg_0 && 2<=Arg_3 && Arg_1<=Arg_3 && 4<=Arg_0+Arg_3 && Arg_0<=Arg_3 && Arg_1<=Arg_0 && 2<=Arg_0 for location lbl82

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: lbl111, lbl16, lbl82, start, start0, stop
Transitions:
3:lbl111(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl111(Arg_0,Arg_1,Arg_2,Arg_3-Arg_5,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_7<=Arg_0 && 2<=Arg_7 && 3<=Arg_5+Arg_7 && 1+Arg_5<=Arg_7 && 2<=Arg_3+Arg_7 && 1+Arg_3<=Arg_7 && Arg_1<=Arg_7 && 4<=Arg_0+Arg_7 && Arg_0<=Arg_7 && 1+Arg_5<=Arg_0 && 1<=Arg_5 && 1<=Arg_3+Arg_5 && 3<=Arg_0+Arg_5 && 1+Arg_3<=Arg_0 && 2<=Arg_0+Arg_3 && Arg_1<=Arg_0 && 2<=Arg_0 && Arg_5<=Arg_3 && Arg_5+1<=Arg_0 && Arg_5+Arg_3<=Arg_0 && Arg_1<=Arg_0 && 1<=Arg_5 && 0<=Arg_3 && Arg_7<=Arg_0 && Arg_0<=Arg_7
5:lbl111(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl82(Arg_0,Arg_1,Arg_2,Arg_7,Arg_4,Arg_5-1,Arg_6,Arg_7):|:Arg_7<=Arg_0 && 2<=Arg_7 && 3<=Arg_5+Arg_7 && 1+Arg_5<=Arg_7 && 2<=Arg_3+Arg_7 && 1+Arg_3<=Arg_7 && Arg_1<=Arg_7 && 4<=Arg_0+Arg_7 && Arg_0<=Arg_7 && 1+Arg_5<=Arg_0 && 1<=Arg_5 && 1<=Arg_3+Arg_5 && 3<=Arg_0+Arg_5 && 1+Arg_3<=Arg_0 && 2<=Arg_0+Arg_3 && Arg_1<=Arg_0 && 2<=Arg_0 && Arg_3+1<=Arg_5 && 1<=Arg_3 && Arg_5+1<=Arg_0 && Arg_5+Arg_3<=Arg_0 && Arg_1<=Arg_0 && 1<=Arg_5 && 0<=Arg_3 && Arg_7<=Arg_0 && Arg_0<=Arg_7
6:lbl111(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl82(Arg_0,Arg_1-Arg_5,Arg_2,Arg_7,Arg_4,Arg_5-1,Arg_6,Arg_7):|:Arg_7<=Arg_0 && 2<=Arg_7 && 3<=Arg_5+Arg_7 && 1+Arg_5<=Arg_7 && 2<=Arg_3+Arg_7 && 1+Arg_3<=Arg_7 && Arg_1<=Arg_7 && 4<=Arg_0+Arg_7 && Arg_0<=Arg_7 && 1+Arg_5<=Arg_0 && 1<=Arg_5 && 1<=Arg_3+Arg_5 && 3<=Arg_0+Arg_5 && 1+Arg_3<=Arg_0 && 2<=Arg_0+Arg_3 && Arg_1<=Arg_0 && 2<=Arg_0 && 1<=Arg_5 && Arg_5+1<=Arg_0 && Arg_5<=Arg_0 && Arg_1<=Arg_0 && Arg_3<=0 && 0<=Arg_3 && Arg_7<=Arg_0 && Arg_0<=Arg_7
2:lbl16(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_3 && Arg_7<=Arg_0 && 2<=Arg_7 && 2<=Arg_5+Arg_7 && 2+Arg_5<=Arg_7 && 4<=Arg_3+Arg_7 && Arg_3<=Arg_7 && 1+Arg_1<=Arg_7 && 4<=Arg_0+Arg_7 && Arg_0<=Arg_7 && Arg_5<=0 && 2+Arg_5<=Arg_3 && 2+Arg_5<=Arg_0 && 0<=Arg_5 && 2<=Arg_3+Arg_5 && 2<=Arg_0+Arg_5 && Arg_3<=Arg_0 && 2<=Arg_3 && 1+Arg_1<=Arg_3 && 4<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1+Arg_1<=Arg_0 && 2<=Arg_0 && 2<=Arg_0 && Arg_1+1<=Arg_0 && Arg_5<=0 && 0<=Arg_5 && Arg_7<=Arg_0 && Arg_0<=Arg_7 && Arg_3<=Arg_0 && Arg_0<=Arg_3
8:lbl82(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl111(Arg_0,Arg_1,Arg_2,Arg_3-Arg_5,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_7<=Arg_3 && Arg_7<=Arg_0 && 2<=Arg_7 && 2<=Arg_5+Arg_7 && 2+Arg_5<=Arg_7 && 4<=Arg_3+Arg_7 && Arg_3<=Arg_7 && Arg_1<=Arg_7 && 4<=Arg_0+Arg_7 && Arg_0<=Arg_7 && 2+Arg_5<=Arg_3 && 2+Arg_5<=Arg_0 && 0<=Arg_5 && 2<=Arg_3+Arg_5 && 2<=Arg_0+Arg_5 && Arg_3<=Arg_0 && 2<=Arg_3 && Arg_1<=Arg_3 && 4<=Arg_0+Arg_3 && Arg_0<=Arg_3 && Arg_1<=Arg_0 && 2<=Arg_0 && 1<=Arg_5 && Arg_5<=Arg_0 && 0<=Arg_5 && Arg_5+2<=Arg_0 && Arg_1<=Arg_0 && Arg_1+1<=Arg_0+Arg_5 && Arg_7<=Arg_0 && Arg_0<=Arg_7 && Arg_3<=Arg_0 && Arg_0<=Arg_3
7:lbl82(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl16(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_7<=Arg_3 && Arg_7<=Arg_0 && 2<=Arg_7 && 2<=Arg_5+Arg_7 && 2+Arg_5<=Arg_7 && 4<=Arg_3+Arg_7 && Arg_3<=Arg_7 && Arg_1<=Arg_7 && 4<=Arg_0+Arg_7 && Arg_0<=Arg_7 && 2+Arg_5<=Arg_3 && 2+Arg_5<=Arg_0 && 0<=Arg_5 && 2<=Arg_3+Arg_5 && 2<=Arg_0+Arg_5 && Arg_3<=Arg_0 && 2<=Arg_3 && Arg_1<=Arg_3 && 4<=Arg_0+Arg_3 && Arg_0<=Arg_3 && Arg_1<=Arg_0 && 2<=Arg_0 && 2<=Arg_0 && Arg_1<=Arg_0 && Arg_1+1<=Arg_0 && Arg_5<=0 && 0<=Arg_5 && Arg_7<=Arg_0 && Arg_0<=Arg_7 && Arg_3<=Arg_0 && Arg_0<=Arg_3
1:start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl111(Arg_0,Arg_7,Arg_2,1,Arg_4,Arg_7-1,Arg_6,Arg_7):|:Arg_7<=Arg_0 && Arg_0<=Arg_7 && Arg_6<=Arg_5 && Arg_5<=Arg_6 && Arg_4<=Arg_3 && Arg_3<=Arg_4 && Arg_2<=Arg_1 && Arg_1<=Arg_2 && 2<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_3<=Arg_4 && Arg_4<=Arg_3 && Arg_5<=Arg_6 && Arg_6<=Arg_5 && Arg_7<=Arg_0 && Arg_0<=Arg_7
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_0 && Arg_0<=Arg_7 && Arg_6<=Arg_5 && Arg_5<=Arg_6 && Arg_4<=Arg_3 && Arg_3<=Arg_4 && Arg_2<=Arg_1 && Arg_1<=Arg_2 && Arg_0<=1 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_3<=Arg_4 && Arg_4<=Arg_3 && Arg_5<=Arg_6 && Arg_6<=Arg_5 && Arg_7<=Arg_0 && Arg_0<=Arg_7
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_4,Arg_4,Arg_6,Arg_6,Arg_0)

MPRF for transition 5:lbl111(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl82(Arg_0,Arg_1,Arg_2,Arg_7,Arg_4,Arg_5-1,Arg_6,Arg_7):|:Arg_7<=Arg_0 && 2<=Arg_7 && 3<=Arg_5+Arg_7 && 1+Arg_5<=Arg_7 && 2<=Arg_3+Arg_7 && 1+Arg_3<=Arg_7 && Arg_1<=Arg_7 && 4<=Arg_0+Arg_7 && Arg_0<=Arg_7 && 1+Arg_5<=Arg_0 && 1<=Arg_5 && 1<=Arg_3+Arg_5 && 3<=Arg_0+Arg_5 && 1+Arg_3<=Arg_0 && 2<=Arg_0+Arg_3 && Arg_1<=Arg_0 && 2<=Arg_0 && Arg_3+1<=Arg_5 && 1<=Arg_3 && Arg_5+1<=Arg_0 && Arg_5+Arg_3<=Arg_0 && Arg_1<=Arg_0 && 1<=Arg_5 && 0<=Arg_3 && Arg_7<=Arg_0 && Arg_0<=Arg_7 of depth 1:

new bound:

Arg_0 {O(n)}

MPRF:

lbl82 [Arg_5 ]
lbl111 [Arg_5 ]

MPRF for transition 6:lbl111(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl82(Arg_0,Arg_1-Arg_5,Arg_2,Arg_7,Arg_4,Arg_5-1,Arg_6,Arg_7):|:Arg_7<=Arg_0 && 2<=Arg_7 && 3<=Arg_5+Arg_7 && 1+Arg_5<=Arg_7 && 2<=Arg_3+Arg_7 && 1+Arg_3<=Arg_7 && Arg_1<=Arg_7 && 4<=Arg_0+Arg_7 && Arg_0<=Arg_7 && 1+Arg_5<=Arg_0 && 1<=Arg_5 && 1<=Arg_3+Arg_5 && 3<=Arg_0+Arg_5 && 1+Arg_3<=Arg_0 && 2<=Arg_0+Arg_3 && Arg_1<=Arg_0 && 2<=Arg_0 && 1<=Arg_5 && Arg_5+1<=Arg_0 && Arg_5<=Arg_0 && Arg_1<=Arg_0 && Arg_3<=0 && 0<=Arg_3 && Arg_7<=Arg_0 && Arg_0<=Arg_7 of depth 1:

new bound:

Arg_0 {O(n)}

MPRF:

lbl82 [Arg_5 ]
lbl111 [Arg_5 ]

MPRF for transition 8:lbl82(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl111(Arg_0,Arg_1,Arg_2,Arg_3-Arg_5,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_7<=Arg_3 && Arg_7<=Arg_0 && 2<=Arg_7 && 2<=Arg_5+Arg_7 && 2+Arg_5<=Arg_7 && 4<=Arg_3+Arg_7 && Arg_3<=Arg_7 && Arg_1<=Arg_7 && 4<=Arg_0+Arg_7 && Arg_0<=Arg_7 && 2+Arg_5<=Arg_3 && 2+Arg_5<=Arg_0 && 0<=Arg_5 && 2<=Arg_3+Arg_5 && 2<=Arg_0+Arg_5 && Arg_3<=Arg_0 && 2<=Arg_3 && Arg_1<=Arg_3 && 4<=Arg_0+Arg_3 && Arg_0<=Arg_3 && Arg_1<=Arg_0 && 2<=Arg_0 && 1<=Arg_5 && Arg_5<=Arg_0 && 0<=Arg_5 && Arg_5+2<=Arg_0 && Arg_1<=Arg_0 && Arg_1+1<=Arg_0+Arg_5 && Arg_7<=Arg_0 && Arg_0<=Arg_7 && Arg_3<=Arg_0 && Arg_0<=Arg_3 of depth 1:

new bound:

Arg_0 {O(n)}

MPRF:

lbl82 [Arg_5+1 ]
lbl111 [Arg_5 ]

MPRF for transition 3:lbl111(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl111(Arg_0,Arg_1,Arg_2,Arg_3-Arg_5,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_7<=Arg_0 && 2<=Arg_7 && 3<=Arg_5+Arg_7 && 1+Arg_5<=Arg_7 && 2<=Arg_3+Arg_7 && 1+Arg_3<=Arg_7 && Arg_1<=Arg_7 && 4<=Arg_0+Arg_7 && Arg_0<=Arg_7 && 1+Arg_5<=Arg_0 && 1<=Arg_5 && 1<=Arg_3+Arg_5 && 3<=Arg_0+Arg_5 && 1+Arg_3<=Arg_0 && 2<=Arg_0+Arg_3 && Arg_1<=Arg_0 && 2<=Arg_0 && Arg_5<=Arg_3 && Arg_5+1<=Arg_0 && Arg_5+Arg_3<=Arg_0 && Arg_1<=Arg_0 && 1<=Arg_5 && 0<=Arg_3 && Arg_7<=Arg_0 && Arg_0<=Arg_7 of depth 1:

new bound:

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

MPRF:

lbl111 [Arg_3+1 ]
lbl82 [Arg_0-Arg_3 ]

Analysing control-flow refined program

Cut unsatisfiable transition 143: n_lbl82___1->lbl16

Cut unsatisfiable transition 144: n_lbl82___10->lbl16

Cut unsatisfiable transition 145: n_lbl82___4->lbl16

Cut unsatisfiable transition 146: n_lbl82___6->lbl16

Found invariant Arg_7<=Arg_0 && 3<=Arg_7 && 4<=Arg_5+Arg_7 && 2+Arg_5<=Arg_7 && 3<=Arg_3+Arg_7 && 2+Arg_3<=Arg_7 && Arg_1<=Arg_7 && 6<=Arg_0+Arg_7 && Arg_0<=Arg_7 && 2+Arg_5<=Arg_0 && 1<=Arg_5 && 1<=Arg_3+Arg_5 && 4<=Arg_0+Arg_5 && 2+Arg_3<=Arg_0 && 3<=Arg_0+Arg_3 && Arg_1<=Arg_0 && 3<=Arg_0 for location n_lbl111___7

Found invariant Arg_7<=Arg_3 && Arg_7<=Arg_0 && 5<=Arg_7 && 6<=Arg_5+Arg_7 && 4+Arg_5<=Arg_7 && 10<=Arg_3+Arg_7 && Arg_3<=Arg_7 && 8<=Arg_1+Arg_7 && 2+Arg_1<=Arg_7 && 10<=Arg_0+Arg_7 && Arg_0<=Arg_7 && 4+Arg_5<=Arg_3 && 4+Arg_5<=Arg_0 && 1<=Arg_5 && 6<=Arg_3+Arg_5 && 4<=Arg_1+Arg_5 && 6<=Arg_0+Arg_5 && Arg_3<=Arg_0 && 5<=Arg_3 && 8<=Arg_1+Arg_3 && 2+Arg_1<=Arg_3 && 10<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 2+Arg_1<=Arg_0 && 8<=Arg_0+Arg_1 && 5<=Arg_0 for location n_lbl82___1

Found invariant Arg_7<=Arg_1 && Arg_7<=Arg_0 && 5<=Arg_7 && 7<=Arg_5+Arg_7 && 3+Arg_5<=Arg_7 && 5<=Arg_3+Arg_7 && 4+Arg_3<=Arg_7 && 10<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 10<=Arg_0+Arg_7 && Arg_0<=Arg_7 && 3+Arg_5<=Arg_1 && 3+Arg_5<=Arg_0 && 2<=Arg_5 && 2<=Arg_3+Arg_5 && 7<=Arg_1+Arg_5 && 7<=Arg_0+Arg_5 && 4+Arg_3<=Arg_1 && 4+Arg_3<=Arg_0 && 5<=Arg_1+Arg_3 && 5<=Arg_0+Arg_3 && Arg_1<=Arg_0 && 5<=Arg_1 && 10<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 5<=Arg_0 for location n_lbl111___2

Found invariant Arg_7<=2+Arg_5 && Arg_7<=Arg_3 && Arg_7<=Arg_1 && Arg_7<=Arg_0 && 3<=Arg_7 && 4<=Arg_5+Arg_7 && 2+Arg_5<=Arg_7 && 6<=Arg_3+Arg_7 && Arg_3<=Arg_7 && 6<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 6<=Arg_0+Arg_7 && Arg_0<=Arg_7 && 2+Arg_5<=Arg_3 && 2+Arg_5<=Arg_1 && 2+Arg_5<=Arg_0 && 1<=Arg_5 && 4<=Arg_3+Arg_5 && Arg_3<=2+Arg_5 && 4<=Arg_1+Arg_5 && Arg_1<=2+Arg_5 && 4<=Arg_0+Arg_5 && Arg_0<=2+Arg_5 && Arg_3<=Arg_1 && Arg_3<=Arg_0 && 3<=Arg_3 && 6<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 6<=Arg_0+Arg_3 && Arg_0<=Arg_3 && Arg_1<=Arg_0 && 3<=Arg_1 && 6<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 3<=Arg_0 for location n_lbl82___10

Found invariant Arg_7<=Arg_0 && Arg_0<=Arg_7 && Arg_6<=Arg_5 && Arg_5<=Arg_6 && Arg_4<=Arg_3 && Arg_3<=Arg_4 && Arg_2<=Arg_1 && Arg_1<=Arg_2 for location start

Found invariant Arg_7<=1+Arg_5 && Arg_7<=Arg_1 && Arg_7<=Arg_0 && 2<=Arg_7 && 3<=Arg_5+Arg_7 && 1+Arg_5<=Arg_7 && 3<=Arg_3+Arg_7 && 1+Arg_3<=Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 4<=Arg_0+Arg_7 && Arg_0<=Arg_7 && 1+Arg_5<=Arg_1 && 1+Arg_5<=Arg_0 && 1<=Arg_5 && 2<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 3<=Arg_1+Arg_5 && Arg_1<=1+Arg_5 && 3<=Arg_0+Arg_5 && Arg_0<=1+Arg_5 && Arg_3<=1 && 1+Arg_3<=Arg_1 && 1+Arg_3<=Arg_0 && 1<=Arg_3 && 3<=Arg_1+Arg_3 && 3<=Arg_0+Arg_3 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 2<=Arg_0 for location lbl111

Found invariant Arg_7<=Arg_3 && Arg_7<=Arg_1 && Arg_7<=Arg_0 && 5<=Arg_7 && 7<=Arg_5+Arg_7 && 3+Arg_5<=Arg_7 && 10<=Arg_3+Arg_7 && Arg_3<=Arg_7 && 10<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 10<=Arg_0+Arg_7 && Arg_0<=Arg_7 && 3+Arg_5<=Arg_3 && 3+Arg_5<=Arg_1 && 3+Arg_5<=Arg_0 && 2<=Arg_5 && 7<=Arg_3+Arg_5 && 7<=Arg_1+Arg_5 && 7<=Arg_0+Arg_5 && Arg_3<=Arg_1 && Arg_3<=Arg_0 && 5<=Arg_3 && 10<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 10<=Arg_0+Arg_3 && Arg_0<=Arg_3 && Arg_1<=Arg_0 && 5<=Arg_1 && 10<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 5<=Arg_0 for location n_lbl82___4

Found invariant Arg_7<=2+Arg_5 && Arg_7<=Arg_1 && Arg_7<=Arg_0 && 3<=Arg_7 && 4<=Arg_5+Arg_7 && 2+Arg_5<=Arg_7 && 5<=Arg_3+Arg_7 && 1+Arg_3<=Arg_7 && 6<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 6<=Arg_0+Arg_7 && Arg_0<=Arg_7 && 2+Arg_5<=Arg_1 && 2+Arg_5<=Arg_0 && 1<=Arg_5 && 3<=Arg_3+Arg_5 && Arg_3<=1+Arg_5 && 4<=Arg_1+Arg_5 && Arg_1<=2+Arg_5 && 4<=Arg_0+Arg_5 && Arg_0<=2+Arg_5 && 1+Arg_3<=Arg_1 && 1+Arg_3<=Arg_0 && 5<=Arg_1+Arg_3 && 5<=Arg_0+Arg_3 && Arg_1<=Arg_0 && 3<=Arg_1 && 6<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 3<=Arg_0 for location n_lbl111___5

Found invariant Arg_7<=Arg_0 && Arg_0<=Arg_7 for location stop

Found invariant Arg_7<=Arg_3 && Arg_7<=Arg_0 && 2<=Arg_7 && 2<=Arg_5+Arg_7 && 2+Arg_5<=Arg_7 && 4<=Arg_3+Arg_7 && Arg_3<=Arg_7 && 1+Arg_1<=Arg_7 && 4<=Arg_0+Arg_7 && Arg_0<=Arg_7 && Arg_5<=0 && 2+Arg_5<=Arg_3 && 2+Arg_5<=Arg_0 && 0<=Arg_5 && 2<=Arg_3+Arg_5 && 2<=Arg_0+Arg_5 && Arg_3<=Arg_0 && 2<=Arg_3 && 1+Arg_1<=Arg_3 && 4<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1+Arg_1<=Arg_0 && 2<=Arg_0 for location lbl16

Found invariant Arg_7<=2 && Arg_7<=1+Arg_5 && Arg_5+Arg_7<=3 && Arg_7<=2+Arg_3 && Arg_3+Arg_7<=2 && Arg_7<=Arg_1 && Arg_1+Arg_7<=4 && Arg_7<=Arg_0 && Arg_0+Arg_7<=4 && 2<=Arg_7 && 3<=Arg_5+Arg_7 && 1+Arg_5<=Arg_7 && 2<=Arg_3+Arg_7 && 2+Arg_3<=Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 4<=Arg_0+Arg_7 && Arg_0<=Arg_7 && Arg_5<=1 && Arg_5<=1+Arg_3 && Arg_3+Arg_5<=1 && 1+Arg_5<=Arg_1 && Arg_1+Arg_5<=3 && 1+Arg_5<=Arg_0 && Arg_0+Arg_5<=3 && 1<=Arg_5 && 1<=Arg_3+Arg_5 && 1+Arg_3<=Arg_5 && 3<=Arg_1+Arg_5 && Arg_1<=1+Arg_5 && 3<=Arg_0+Arg_5 && Arg_0<=1+Arg_5 && Arg_3<=0 && 2+Arg_3<=Arg_1 && Arg_1+Arg_3<=2 && 2+Arg_3<=Arg_0 && Arg_0+Arg_3<=2 && 0<=Arg_3 && 2<=Arg_1+Arg_3 && Arg_1<=2+Arg_3 && 2<=Arg_0+Arg_3 && Arg_0<=2+Arg_3 && Arg_1<=2 && Arg_1<=Arg_0 && Arg_0+Arg_1<=4 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=2 && 2<=Arg_0 for location n_lbl111___11

Found invariant Arg_7<=Arg_0 && 4<=Arg_7 && 5<=Arg_5+Arg_7 && 2+Arg_5<=Arg_7 && 6<=Arg_3+Arg_7 && 1+Arg_3<=Arg_7 && Arg_1<=Arg_7 && 8<=Arg_0+Arg_7 && Arg_0<=Arg_7 && 2+Arg_5<=Arg_0 && 1<=Arg_5 && 4<=Arg_3+Arg_5 && 5<=Arg_0+Arg_5 && 1+Arg_3<=Arg_0 && 6<=Arg_0+Arg_3 && Arg_1<=Arg_0 && 4<=Arg_0 for location n_lbl111___8

Found invariant Arg_7<=Arg_1 && Arg_7<=Arg_0 && 5<=Arg_7 && 7<=Arg_5+Arg_7 && 3+Arg_5<=Arg_7 && 8<=Arg_3+Arg_7 && 2+Arg_3<=Arg_7 && 10<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 10<=Arg_0+Arg_7 && Arg_0<=Arg_7 && 3+Arg_5<=Arg_1 && 3+Arg_5<=Arg_0 && 2<=Arg_5 && 5<=Arg_3+Arg_5 && 7<=Arg_1+Arg_5 && 7<=Arg_0+Arg_5 && 2+Arg_3<=Arg_1 && 2+Arg_3<=Arg_0 && 8<=Arg_1+Arg_3 && 8<=Arg_0+Arg_3 && Arg_1<=Arg_0 && 5<=Arg_1 && 10<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 5<=Arg_0 for location n_lbl111___3

Found invariant Arg_7<=Arg_3 && Arg_7<=Arg_0 && 5<=Arg_7 && 6<=Arg_5+Arg_7 && 3+Arg_5<=Arg_7 && 10<=Arg_3+Arg_7 && Arg_3<=Arg_7 && Arg_1<=Arg_7 && 10<=Arg_0+Arg_7 && Arg_0<=Arg_7 && 3+Arg_5<=Arg_3 && 3+Arg_5<=Arg_0 && 1<=Arg_5 && 6<=Arg_3+Arg_5 && 6<=Arg_0+Arg_5 && Arg_3<=Arg_0 && 5<=Arg_3 && Arg_1<=Arg_3 && 10<=Arg_0+Arg_3 && Arg_0<=Arg_3 && Arg_1<=Arg_0 && 5<=Arg_0 for location n_lbl82___6

Found invariant Arg_7<=Arg_3 && Arg_7<=Arg_0 && 2<=Arg_7 && 2<=Arg_5+Arg_7 && 2+Arg_5<=Arg_7 && 4<=Arg_3+Arg_7 && Arg_3<=Arg_7 && 1+Arg_1<=Arg_7 && 4<=Arg_0+Arg_7 && Arg_0<=Arg_7 && 2+Arg_5<=Arg_3 && 2+Arg_5<=Arg_0 && 0<=Arg_5 && 2<=Arg_3+Arg_5 && 2<=Arg_0+Arg_5 && Arg_3<=Arg_0 && 2<=Arg_3 && 1+Arg_1<=Arg_3 && 4<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1+Arg_1<=Arg_0 && 2<=Arg_0 for location n_lbl82___9

MPRF for transition 120:n_lbl111___3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> n_lbl82___4(Arg_0,Arg_1,Arg_2,Arg_0,Arg_4,Arg_5-1,Arg_6,Arg_0):|:Arg_7<=Arg_1 && Arg_7<=Arg_0 && 5<=Arg_7 && 7<=Arg_5+Arg_7 && 3+Arg_5<=Arg_7 && 8<=Arg_3+Arg_7 && 2+Arg_3<=Arg_7 && 10<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 10<=Arg_0+Arg_7 && Arg_0<=Arg_7 && 3+Arg_5<=Arg_1 && 3+Arg_5<=Arg_0 && 2<=Arg_5 && 5<=Arg_3+Arg_5 && 7<=Arg_1+Arg_5 && 7<=Arg_0+Arg_5 && 2+Arg_3<=Arg_1 && 2+Arg_3<=Arg_0 && 8<=Arg_1+Arg_3 && 8<=Arg_0+Arg_3 && Arg_1<=Arg_0 && 5<=Arg_1 && 10<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 5<=Arg_0 && Arg_1<=Arg_0 && Arg_3+Arg_5<=Arg_0 && 1<=Arg_5 && Arg_0<=Arg_7 && Arg_7<=Arg_0 && 1<=Arg_3 && 1+Arg_5<=Arg_0 && 2<=Arg_5 && Arg_0<=Arg_7 && Arg_7<=Arg_0 && Arg_0<=Arg_3+Arg_5 && Arg_3+Arg_5<=Arg_0 && 2<=Arg_3 && 1+Arg_3<=Arg_0 && Arg_1<=Arg_0 && 1<=Arg_3 && 1+Arg_3<=Arg_5 && Arg_3+Arg_5<=Arg_0 && Arg_1<=Arg_0 && Arg_0<=Arg_7 && Arg_7<=Arg_0 of depth 1:

new bound:

Arg_0+1 {O(n)}

MPRF:

n_lbl82___4 [Arg_5-1 ]
n_lbl111___3 [Arg_5-1 ]

MPRF for transition 129:n_lbl82___4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> n_lbl111___3(Arg_0,Arg_1,Arg_2,Arg_0-Arg_5,Arg_4,Arg_5,Arg_6,Arg_0):|:Arg_7<=Arg_3 && Arg_7<=Arg_1 && Arg_7<=Arg_0 && 5<=Arg_7 && 7<=Arg_5+Arg_7 && 3+Arg_5<=Arg_7 && 10<=Arg_3+Arg_7 && Arg_3<=Arg_7 && 10<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 10<=Arg_0+Arg_7 && Arg_0<=Arg_7 && 3+Arg_5<=Arg_3 && 3+Arg_5<=Arg_1 && 3+Arg_5<=Arg_0 && 2<=Arg_5 && 7<=Arg_3+Arg_5 && 7<=Arg_1+Arg_5 && 7<=Arg_0+Arg_5 && Arg_3<=Arg_1 && Arg_3<=Arg_0 && 5<=Arg_3 && 10<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 10<=Arg_0+Arg_3 && Arg_0<=Arg_3 && Arg_1<=Arg_0 && 5<=Arg_1 && 10<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 5<=Arg_0 && Arg_1<=Arg_0 && Arg_0<=1+2*Arg_5 && 3+Arg_5<=Arg_0 && Arg_0<=Arg_7 && Arg_7<=Arg_0 && Arg_0<=Arg_3 && Arg_3<=Arg_0 && 2+Arg_5<=Arg_0 && 1<=Arg_5 && Arg_1<=Arg_0 && Arg_0<=Arg_3 && Arg_3<=Arg_0 && Arg_0<=Arg_7 && Arg_7<=Arg_0 of depth 1:

new bound:

Arg_0 {O(n)}

MPRF:

n_lbl82___4 [Arg_5 ]
n_lbl111___3 [Arg_5-1 ]

MPRF for transition 116:n_lbl111___2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> n_lbl111___2(Arg_0,Arg_1,Arg_2,Arg_3-Arg_5,Arg_4,Arg_5,Arg_6,Arg_0):|:Arg_7<=Arg_1 && Arg_7<=Arg_0 && 5<=Arg_7 && 7<=Arg_5+Arg_7 && 3+Arg_5<=Arg_7 && 5<=Arg_3+Arg_7 && 4+Arg_3<=Arg_7 && 10<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 10<=Arg_0+Arg_7 && Arg_0<=Arg_7 && 3+Arg_5<=Arg_1 && 3+Arg_5<=Arg_0 && 2<=Arg_5 && 2<=Arg_3+Arg_5 && 7<=Arg_1+Arg_5 && 7<=Arg_0+Arg_5 && 4+Arg_3<=Arg_1 && 4+Arg_3<=Arg_0 && 5<=Arg_1+Arg_3 && 5<=Arg_0+Arg_3 && Arg_1<=Arg_0 && 5<=Arg_1 && 10<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 5<=Arg_0 && Arg_1<=Arg_0 && Arg_3+Arg_5<=Arg_0 && 1<=Arg_5 && Arg_0<=Arg_7 && Arg_7<=Arg_0 && 1+Arg_5<=Arg_0 && 2<=Arg_5 && Arg_0<=Arg_7 && Arg_7<=Arg_0 && 1<=Arg_5 && 0<=Arg_3 && Arg_3+2*Arg_5<=Arg_0 && Arg_1<=Arg_0 && Arg_5<=Arg_3 && 1<=Arg_5 && Arg_3+Arg_5<=Arg_0 && Arg_1<=Arg_0 && Arg_0<=Arg_7 && Arg_7<=Arg_0 of depth 1:

new bound:

2*Arg_0+1 {O(n)}

MPRF:

n_lbl111___2 [Arg_3+1 ]

MPRF for transition 124:n_lbl111___7(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> n_lbl82___6(Arg_0,Arg_1,Arg_2,Arg_0,Arg_4,Arg_5-1,Arg_6,Arg_0):|:Arg_7<=Arg_0 && 3<=Arg_7 && 4<=Arg_5+Arg_7 && 2+Arg_5<=Arg_7 && 3<=Arg_3+Arg_7 && 2+Arg_3<=Arg_7 && Arg_1<=Arg_7 && 6<=Arg_0+Arg_7 && Arg_0<=Arg_7 && 2+Arg_5<=Arg_0 && 1<=Arg_5 && 1<=Arg_3+Arg_5 && 4<=Arg_0+Arg_5 && 2+Arg_3<=Arg_0 && 3<=Arg_0+Arg_3 && Arg_1<=Arg_0 && 3<=Arg_0 && Arg_1<=Arg_0 && Arg_3+Arg_5<=Arg_0 && 1<=Arg_5 && Arg_0<=Arg_7 && Arg_7<=Arg_0 && 1+Arg_5<=Arg_0 && Arg_0<=Arg_7 && Arg_7<=Arg_0 && 1<=Arg_5 && 0<=Arg_3 && Arg_3+2*Arg_5<=Arg_0 && Arg_1<=Arg_0 && 1<=Arg_3 && 1+Arg_3<=Arg_5 && Arg_3+Arg_5<=Arg_0 && Arg_1<=Arg_0 && Arg_0<=Arg_7 && Arg_7<=Arg_0 of depth 1:

new bound:

4*Arg_0+2 {O(n)}

MPRF:

n_lbl111___7 [Arg_5 ]
n_lbl82___6 [Arg_5 ]
n_lbl82___9 [Arg_5 ]
n_lbl111___8 [Arg_5 ]

MPRF for transition 125:n_lbl111___7(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> n_lbl82___9(Arg_0,Arg_1-Arg_5,Arg_2,Arg_0,Arg_4,Arg_5-1,Arg_6,Arg_0):|:Arg_7<=Arg_0 && 3<=Arg_7 && 4<=Arg_5+Arg_7 && 2+Arg_5<=Arg_7 && 3<=Arg_3+Arg_7 && 2+Arg_3<=Arg_7 && Arg_1<=Arg_7 && 6<=Arg_0+Arg_7 && Arg_0<=Arg_7 && 2+Arg_5<=Arg_0 && 1<=Arg_5 && 1<=Arg_3+Arg_5 && 4<=Arg_0+Arg_5 && 2+Arg_3<=Arg_0 && 3<=Arg_0+Arg_3 && Arg_1<=Arg_0 && 3<=Arg_0 && Arg_1<=Arg_0 && Arg_3+Arg_5<=Arg_0 && 1<=Arg_5 && Arg_0<=Arg_7 && Arg_7<=Arg_0 && 1+Arg_5<=Arg_0 && Arg_0<=Arg_7 && Arg_7<=Arg_0 && 1<=Arg_5 && 0<=Arg_3 && Arg_3+2*Arg_5<=Arg_0 && Arg_1<=Arg_0 && 1<=Arg_5 && 1+Arg_5<=Arg_0 && Arg_1<=Arg_0 && Arg_3<=0 && 0<=Arg_3 && Arg_0<=Arg_7 && Arg_7<=Arg_0 of depth 1:

new bound:

4*Arg_0+3 {O(n)}

MPRF:

n_lbl111___7 [Arg_5 ]
n_lbl82___6 [Arg_5+1 ]
n_lbl82___9 [Arg_5 ]
n_lbl111___8 [Arg_5 ]

MPRF for transition 126:n_lbl111___8(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> n_lbl111___7(Arg_0,Arg_1,Arg_2,Arg_3-Arg_5,Arg_4,Arg_5,Arg_6,Arg_0):|:Arg_7<=Arg_0 && 4<=Arg_7 && 5<=Arg_5+Arg_7 && 2+Arg_5<=Arg_7 && 6<=Arg_3+Arg_7 && 1+Arg_3<=Arg_7 && Arg_1<=Arg_7 && 8<=Arg_0+Arg_7 && Arg_0<=Arg_7 && 2+Arg_5<=Arg_0 && 1<=Arg_5 && 4<=Arg_3+Arg_5 && 5<=Arg_0+Arg_5 && 1+Arg_3<=Arg_0 && 6<=Arg_0+Arg_3 && Arg_1<=Arg_0 && 4<=Arg_0 && Arg_1<=Arg_0 && Arg_3+Arg_5<=Arg_0 && Arg_5<=Arg_3 && 1<=Arg_5 && Arg_0<=Arg_7 && Arg_7<=Arg_0 && 1<=Arg_3 && 1+Arg_5<=Arg_0 && Arg_0<=Arg_7 && Arg_7<=Arg_0 && 1<=Arg_5 && Arg_5<=Arg_3 && Arg_3+Arg_5<=Arg_0 && Arg_1<=Arg_0 && Arg_0<=Arg_7 && Arg_7<=Arg_0 && Arg_0<=Arg_3+Arg_5 && Arg_3+Arg_5<=Arg_0 && 2<=Arg_3 && 1+Arg_3<=Arg_0 && Arg_1<=Arg_0 && Arg_5<=Arg_3 && 1<=Arg_5 && Arg_3+Arg_5<=Arg_0 && Arg_1<=Arg_0 && Arg_0<=Arg_7 && Arg_7<=Arg_0 of depth 1:

new bound:

4*Arg_0+3 {O(n)}

MPRF:

n_lbl111___7 [Arg_5-1 ]
n_lbl82___6 [Arg_5 ]
n_lbl82___9 [Arg_5 ]
n_lbl111___8 [Arg_5 ]

MPRF for transition 130:n_lbl82___6(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> n_lbl111___8(Arg_0,Arg_1,Arg_2,Arg_0-Arg_5,Arg_4,Arg_5,Arg_6,Arg_0):|:Arg_7<=Arg_3 && Arg_7<=Arg_0 && 5<=Arg_7 && 6<=Arg_5+Arg_7 && 3+Arg_5<=Arg_7 && 10<=Arg_3+Arg_7 && Arg_3<=Arg_7 && Arg_1<=Arg_7 && 10<=Arg_0+Arg_7 && Arg_0<=Arg_7 && 3+Arg_5<=Arg_3 && 3+Arg_5<=Arg_0 && 1<=Arg_5 && 6<=Arg_3+Arg_5 && 6<=Arg_0+Arg_5 && Arg_3<=Arg_0 && 5<=Arg_3 && Arg_1<=Arg_3 && 10<=Arg_0+Arg_3 && Arg_0<=Arg_3 && Arg_1<=Arg_0 && 5<=Arg_0 && 1<=Arg_5 && 3+2*Arg_5<=Arg_0 && Arg_1<=Arg_0 && Arg_0<=Arg_7 && Arg_7<=Arg_0 && Arg_0<=Arg_3 && Arg_3<=Arg_0 && 2+Arg_5<=Arg_0 && 1<=Arg_5 && Arg_1<=Arg_0 && Arg_0<=Arg_3 && Arg_3<=Arg_0 && Arg_0<=Arg_7 && Arg_7<=Arg_0 of depth 1:

new bound:

4*Arg_0+4 {O(n)}

MPRF:

n_lbl111___7 [Arg_5-1 ]
n_lbl82___6 [Arg_5 ]
n_lbl82___9 [Arg_5 ]
n_lbl111___8 [Arg_5-1 ]

MPRF for transition 131:n_lbl82___9(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> n_lbl111___8(Arg_0,Arg_1,Arg_2,Arg_0-Arg_5,Arg_4,Arg_5,Arg_6,Arg_0):|:Arg_7<=Arg_3 && Arg_7<=Arg_0 && 2<=Arg_7 && 2<=Arg_5+Arg_7 && 2+Arg_5<=Arg_7 && 4<=Arg_3+Arg_7 && Arg_3<=Arg_7 && 1+Arg_1<=Arg_7 && 4<=Arg_0+Arg_7 && Arg_0<=Arg_7 && 2+Arg_5<=Arg_3 && 2+Arg_5<=Arg_0 && 0<=Arg_5 && 2<=Arg_3+Arg_5 && 2<=Arg_0+Arg_5 && Arg_3<=Arg_0 && 2<=Arg_3 && 1+Arg_1<=Arg_3 && 4<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1+Arg_1<=Arg_0 && 2<=Arg_0 && 1+Arg_1+Arg_5<=Arg_0 && 2+2*Arg_5<=Arg_0 && 0<=Arg_5 && Arg_0<=Arg_7 && Arg_7<=Arg_0 && Arg_0<=Arg_3 && Arg_3<=Arg_0 && 2+Arg_5<=Arg_0 && 1<=Arg_5 && Arg_1<=Arg_0 && Arg_0<=Arg_3 && Arg_3<=Arg_0 && Arg_0<=Arg_7 && Arg_7<=Arg_0 of depth 1:

new bound:

4*Arg_0+2 {O(n)}

MPRF:

n_lbl111___7 [Arg_5 ]
n_lbl82___6 [Arg_5 ]
n_lbl82___9 [Arg_5+1 ]
n_lbl111___8 [Arg_5 ]

MPRF for transition 123:n_lbl111___7(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> n_lbl111___7(Arg_0,Arg_1,Arg_2,Arg_3-Arg_5,Arg_4,Arg_5,Arg_6,Arg_0):|:Arg_7<=Arg_0 && 3<=Arg_7 && 4<=Arg_5+Arg_7 && 2+Arg_5<=Arg_7 && 3<=Arg_3+Arg_7 && 2+Arg_3<=Arg_7 && Arg_1<=Arg_7 && 6<=Arg_0+Arg_7 && Arg_0<=Arg_7 && 2+Arg_5<=Arg_0 && 1<=Arg_5 && 1<=Arg_3+Arg_5 && 4<=Arg_0+Arg_5 && 2+Arg_3<=Arg_0 && 3<=Arg_0+Arg_3 && Arg_1<=Arg_0 && 3<=Arg_0 && Arg_1<=Arg_0 && Arg_3+Arg_5<=Arg_0 && 1<=Arg_5 && Arg_0<=Arg_7 && Arg_7<=Arg_0 && 1+Arg_5<=Arg_0 && Arg_0<=Arg_7 && Arg_7<=Arg_0 && 1<=Arg_5 && 0<=Arg_3 && Arg_3+2*Arg_5<=Arg_0 && Arg_1<=Arg_0 && Arg_5<=Arg_3 && 1<=Arg_5 && Arg_3+Arg_5<=Arg_0 && Arg_1<=Arg_0 && Arg_0<=Arg_7 && Arg_7<=Arg_0 of depth 1:

new bound:

72*Arg_0*Arg_0+164*Arg_0+81 {O(n^2)}

MPRF:

n_lbl82___6 [0 ]
n_lbl82___9 [0 ]
n_lbl111___8 [Arg_3+1-Arg_5 ]
n_lbl111___7 [Arg_3+1 ]

CFR did not improve the program. Rolling back

All Bounds

Timebounds

Overall timebound:7*Arg_0*Arg_0+4*Arg_0+7 {O(n^2)}
3: lbl111->lbl111: 7*Arg_0*Arg_0+Arg_0+2 {O(n^2)}
5: lbl111->lbl82: Arg_0 {O(n)}
6: lbl111->lbl82: Arg_0 {O(n)}
2: lbl16->stop: 1 {O(1)}
7: lbl82->lbl16: 1 {O(1)}
8: lbl82->lbl111: Arg_0 {O(n)}
0: start->stop: 1 {O(1)}
1: start->lbl111: 1 {O(1)}
12: start0->start: 1 {O(1)}

Costbounds

Overall costbound: 7*Arg_0*Arg_0+4*Arg_0+7 {O(n^2)}
3: lbl111->lbl111: 7*Arg_0*Arg_0+Arg_0+2 {O(n^2)}
5: lbl111->lbl82: Arg_0 {O(n)}
6: lbl111->lbl82: Arg_0 {O(n)}
2: lbl16->stop: 1 {O(1)}
7: lbl82->lbl16: 1 {O(1)}
8: lbl82->lbl111: Arg_0 {O(n)}
0: start->stop: 1 {O(1)}
1: start->lbl111: 1 {O(1)}
12: start0->start: 1 {O(1)}

Sizebounds

3: lbl111->lbl111, Arg_0: 2*Arg_0 {O(n)}
3: lbl111->lbl111, Arg_1: 2*Arg_0*Arg_0+4*Arg_0 {O(n^2)}
3: lbl111->lbl111, Arg_2: 2*Arg_2 {O(n)}
3: lbl111->lbl111, Arg_3: 7*Arg_0+1 {O(n)}
3: lbl111->lbl111, Arg_4: 2*Arg_4 {O(n)}
3: lbl111->lbl111, Arg_5: 2*Arg_0 {O(n)}
3: lbl111->lbl111, Arg_6: 2*Arg_6 {O(n)}
3: lbl111->lbl111, Arg_7: 2*Arg_0 {O(n)}
5: lbl111->lbl82, Arg_0: 2*Arg_0 {O(n)}
5: lbl111->lbl82, Arg_1: 2*Arg_0*Arg_0+4*Arg_0 {O(n^2)}
5: lbl111->lbl82, Arg_2: 2*Arg_2 {O(n)}
5: lbl111->lbl82, Arg_3: 5*Arg_0 {O(n)}
5: lbl111->lbl82, Arg_4: 2*Arg_4 {O(n)}
5: lbl111->lbl82, Arg_5: 2*Arg_0 {O(n)}
5: lbl111->lbl82, Arg_6: 2*Arg_6 {O(n)}
5: lbl111->lbl82, Arg_7: 2*Arg_0 {O(n)}
6: lbl111->lbl82, Arg_0: 2*Arg_0 {O(n)}
6: lbl111->lbl82, Arg_1: 2*Arg_0*Arg_0+4*Arg_0 {O(n^2)}
6: lbl111->lbl82, Arg_2: 2*Arg_2 {O(n)}
6: lbl111->lbl82, Arg_3: 2*Arg_0 {O(n)}
6: lbl111->lbl82, Arg_4: 2*Arg_4 {O(n)}
6: lbl111->lbl82, Arg_5: 2*Arg_0 {O(n)}
6: lbl111->lbl82, Arg_6: 2*Arg_6 {O(n)}
6: lbl111->lbl82, Arg_7: 2*Arg_0 {O(n)}
2: lbl16->stop, Arg_0: 2*Arg_0 {O(n)}
2: lbl16->stop, Arg_1: 2*Arg_0*Arg_0+4*Arg_0 {O(n^2)}
2: lbl16->stop, Arg_2: 2*Arg_2 {O(n)}
2: lbl16->stop, Arg_3: 2*Arg_0 {O(n)}
2: lbl16->stop, Arg_4: 2*Arg_4 {O(n)}
2: lbl16->stop, Arg_5: 0 {O(1)}
2: lbl16->stop, Arg_6: 2*Arg_6 {O(n)}
2: lbl16->stop, Arg_7: 2*Arg_0 {O(n)}
7: lbl82->lbl16, Arg_0: 2*Arg_0 {O(n)}
7: lbl82->lbl16, Arg_1: 2*Arg_0*Arg_0+4*Arg_0 {O(n^2)}
7: lbl82->lbl16, Arg_2: 2*Arg_2 {O(n)}
7: lbl82->lbl16, Arg_3: 2*Arg_0 {O(n)}
7: lbl82->lbl16, Arg_4: 2*Arg_4 {O(n)}
7: lbl82->lbl16, Arg_5: 0 {O(1)}
7: lbl82->lbl16, Arg_6: 2*Arg_6 {O(n)}
7: lbl82->lbl16, Arg_7: 2*Arg_0 {O(n)}
8: lbl82->lbl111, Arg_0: 2*Arg_0 {O(n)}
8: lbl82->lbl111, Arg_1: 2*Arg_0*Arg_0+4*Arg_0 {O(n^2)}
8: lbl82->lbl111, Arg_2: 2*Arg_2 {O(n)}
8: lbl82->lbl111, Arg_3: 7*Arg_0 {O(n)}
8: lbl82->lbl111, Arg_4: 2*Arg_4 {O(n)}
8: lbl82->lbl111, Arg_5: 2*Arg_0 {O(n)}
8: lbl82->lbl111, Arg_6: 2*Arg_6 {O(n)}
8: lbl82->lbl111, Arg_7: 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_4 {O(n)}
0: start->stop, Arg_4: Arg_4 {O(n)}
0: start->stop, Arg_5: Arg_6 {O(n)}
0: start->stop, Arg_6: Arg_6 {O(n)}
0: start->stop, Arg_7: Arg_0 {O(n)}
1: start->lbl111, Arg_0: Arg_0 {O(n)}
1: start->lbl111, Arg_1: Arg_0 {O(n)}
1: start->lbl111, Arg_2: Arg_2 {O(n)}
1: start->lbl111, Arg_3: 1 {O(1)}
1: start->lbl111, Arg_4: Arg_4 {O(n)}
1: start->lbl111, Arg_5: Arg_0 {O(n)}
1: start->lbl111, Arg_6: Arg_6 {O(n)}
1: start->lbl111, Arg_7: Arg_0 {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_4 {O(n)}
12: start0->start, Arg_4: Arg_4 {O(n)}
12: start0->start, Arg_5: Arg_6 {O(n)}
12: start0->start, Arg_6: Arg_6 {O(n)}
12: start0->start, Arg_7: Arg_0 {O(n)}