Initial Problem

Start: evalfstart
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5, Arg_6
Temp_Vars:
Locations: evalfbb10in, evalfbb3in, evalfbb4in, evalfbb5in, evalfbb6in, evalfbb7in, evalfbb8in, evalfbb9in, evalfentryin, evalfreturnin, evalfstart, evalfstop
Transitions:
2:evalfbb10in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> evalfbb8in(Arg_0,Arg_1,Arg_2,Arg_3,1,Arg_5,Arg_6):|:1<=Arg_3
3:evalfbb10in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> evalfreturnin(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_3<=0
10:evalfbb3in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> evalfbb4in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6-1)
8:evalfbb4in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> evalfbb3in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_6<=Arg_4
9:evalfbb4in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> evalfbb5in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_4+1<=Arg_6
11:evalfbb5in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> evalfbb6in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5+1,Arg_6)
6:evalfbb6in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> evalfbb4in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_2):|:Arg_5<=Arg_1
7:evalfbb6in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> evalfbb7in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_1+1<=Arg_5
12:evalfbb7in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> evalfbb8in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4+1,Arg_5,Arg_6)
4:evalfbb8in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> evalfbb6in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_3,Arg_6):|:Arg_4<=Arg_0
5:evalfbb8in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> evalfbb9in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_0+1<=Arg_4
13:evalfbb9in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> evalfbb10in(Arg_0,Arg_1,Arg_2,Arg_3-1,Arg_4,Arg_5,Arg_6)
1:evalfentryin(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> evalfbb10in(Arg_1,Arg_2,Arg_3,Arg_0,Arg_4,Arg_5,Arg_6)
14:evalfreturnin(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> evalfstop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
0:evalfstart(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> evalfentryin(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)

Preprocessing

Found invariant Arg_6<=Arg_2 && 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 3<=Arg_3+Arg_6 && 4<=Arg_2+Arg_6 && 3<=Arg_1+Arg_6 && 3<=Arg_0+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 3<=Arg_2+Arg_5 && 2<=Arg_1+Arg_5 && 2<=Arg_0+Arg_5 && 1+Arg_4<=Arg_2 && Arg_4<=Arg_0 && 1<=Arg_4 && 2<=Arg_3+Arg_4 && 3<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_3<=Arg_1 && 1<=Arg_3 && 3<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && 2<=Arg_0+Arg_3 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location evalfbb5in

Found invariant Arg_3<=0 for location evalfreturnin

Found invariant Arg_6<=Arg_4 && Arg_6<=Arg_2 && Arg_6<=Arg_0 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 2<=Arg_1+Arg_5 && 2<=Arg_0+Arg_5 && Arg_4<=Arg_0 && 1<=Arg_4 && 2<=Arg_3+Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_3<=Arg_1 && 1<=Arg_3 && 2<=Arg_1+Arg_3 && 2<=Arg_0+Arg_3 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location evalfbb3in

Found invariant 1<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_4<=Arg_0 && 1<=Arg_4 && 2<=Arg_3+Arg_4 && 2<=Arg_0+Arg_4 && 1<=Arg_3 && 2<=Arg_0+Arg_3 && 1<=Arg_0 for location evalfbb6in

Found invariant 1<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 1+Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_4<=Arg_0 && 1<=Arg_4 && 2<=Arg_3+Arg_4 && 2<=Arg_0+Arg_4 && 1<=Arg_3 && 2<=Arg_0+Arg_3 && 1<=Arg_0 for location evalfbb7in

Found invariant 1<=Arg_4 && 2<=Arg_3+Arg_4 && 1+Arg_0<=Arg_4 && 1<=Arg_3 for location evalfbb9in

Found invariant Arg_3<=0 for location evalfstop

Found invariant Arg_6<=Arg_2 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 2<=Arg_1+Arg_5 && 2<=Arg_0+Arg_5 && Arg_4<=Arg_0 && 1<=Arg_4 && 2<=Arg_3+Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_3<=Arg_1 && 1<=Arg_3 && 2<=Arg_1+Arg_3 && 2<=Arg_0+Arg_3 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location evalfbb4in

Found invariant 1<=Arg_4 && 2<=Arg_3+Arg_4 && 1<=Arg_3 for location evalfbb8in

Problem after Preprocessing

Start: evalfstart
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5, Arg_6
Temp_Vars:
Locations: evalfbb10in, evalfbb3in, evalfbb4in, evalfbb5in, evalfbb6in, evalfbb7in, evalfbb8in, evalfbb9in, evalfentryin, evalfreturnin, evalfstart, evalfstop
Transitions:
2:evalfbb10in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> evalfbb8in(Arg_0,Arg_1,Arg_2,Arg_3,1,Arg_5,Arg_6):|:1<=Arg_3
3:evalfbb10in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> evalfreturnin(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_3<=0
10:evalfbb3in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> evalfbb4in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6-1):|:Arg_6<=Arg_4 && Arg_6<=Arg_2 && Arg_6<=Arg_0 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 2<=Arg_1+Arg_5 && 2<=Arg_0+Arg_5 && Arg_4<=Arg_0 && 1<=Arg_4 && 2<=Arg_3+Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_3<=Arg_1 && 1<=Arg_3 && 2<=Arg_1+Arg_3 && 2<=Arg_0+Arg_3 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0
8:evalfbb4in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> evalfbb3in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_6<=Arg_2 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 2<=Arg_1+Arg_5 && 2<=Arg_0+Arg_5 && Arg_4<=Arg_0 && 1<=Arg_4 && 2<=Arg_3+Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_3<=Arg_1 && 1<=Arg_3 && 2<=Arg_1+Arg_3 && 2<=Arg_0+Arg_3 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_6<=Arg_4
9:evalfbb4in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> evalfbb5in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_6<=Arg_2 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 2<=Arg_1+Arg_5 && 2<=Arg_0+Arg_5 && Arg_4<=Arg_0 && 1<=Arg_4 && 2<=Arg_3+Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_3<=Arg_1 && 1<=Arg_3 && 2<=Arg_1+Arg_3 && 2<=Arg_0+Arg_3 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_4+1<=Arg_6
11:evalfbb5in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> evalfbb6in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5+1,Arg_6):|:Arg_6<=Arg_2 && 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 3<=Arg_3+Arg_6 && 4<=Arg_2+Arg_6 && 3<=Arg_1+Arg_6 && 3<=Arg_0+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 3<=Arg_2+Arg_5 && 2<=Arg_1+Arg_5 && 2<=Arg_0+Arg_5 && 1+Arg_4<=Arg_2 && Arg_4<=Arg_0 && 1<=Arg_4 && 2<=Arg_3+Arg_4 && 3<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_3<=Arg_1 && 1<=Arg_3 && 3<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && 2<=Arg_0+Arg_3 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0
6:evalfbb6in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> evalfbb4in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_2):|:1<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_4<=Arg_0 && 1<=Arg_4 && 2<=Arg_3+Arg_4 && 2<=Arg_0+Arg_4 && 1<=Arg_3 && 2<=Arg_0+Arg_3 && 1<=Arg_0 && Arg_5<=Arg_1
7:evalfbb6in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> evalfbb7in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:1<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_4<=Arg_0 && 1<=Arg_4 && 2<=Arg_3+Arg_4 && 2<=Arg_0+Arg_4 && 1<=Arg_3 && 2<=Arg_0+Arg_3 && 1<=Arg_0 && Arg_1+1<=Arg_5
12:evalfbb7in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> evalfbb8in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4+1,Arg_5,Arg_6):|:1<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 1+Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_4<=Arg_0 && 1<=Arg_4 && 2<=Arg_3+Arg_4 && 2<=Arg_0+Arg_4 && 1<=Arg_3 && 2<=Arg_0+Arg_3 && 1<=Arg_0
4:evalfbb8in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> evalfbb6in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_3,Arg_6):|:1<=Arg_4 && 2<=Arg_3+Arg_4 && 1<=Arg_3 && Arg_4<=Arg_0
5:evalfbb8in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> evalfbb9in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:1<=Arg_4 && 2<=Arg_3+Arg_4 && 1<=Arg_3 && Arg_0+1<=Arg_4
13:evalfbb9in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> evalfbb10in(Arg_0,Arg_1,Arg_2,Arg_3-1,Arg_4,Arg_5,Arg_6):|:1<=Arg_4 && 2<=Arg_3+Arg_4 && 1+Arg_0<=Arg_4 && 1<=Arg_3
1:evalfentryin(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> evalfbb10in(Arg_1,Arg_2,Arg_3,Arg_0,Arg_4,Arg_5,Arg_6)
14:evalfreturnin(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> evalfstop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_3<=0
0:evalfstart(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> evalfentryin(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)

MPRF for transition 2:evalfbb10in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> evalfbb8in(Arg_0,Arg_1,Arg_2,Arg_3,1,Arg_5,Arg_6):|:1<=Arg_3 of depth 1:

new bound:

Arg_0 {O(n)}

MPRF:

evalfbb3in [Arg_3-1 ]
evalfbb5in [Arg_3-1 ]
evalfbb4in [Arg_3-1 ]
evalfbb7in [Arg_3-1 ]
evalfbb6in [Arg_3-1 ]
evalfbb8in [Arg_3-1 ]
evalfbb9in [Arg_3-1 ]
evalfbb10in [Arg_3 ]

MPRF for transition 5:evalfbb8in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> evalfbb9in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:1<=Arg_4 && 2<=Arg_3+Arg_4 && 1<=Arg_3 && Arg_0+1<=Arg_4 of depth 1:

new bound:

Arg_0 {O(n)}

MPRF:

evalfbb3in [Arg_3 ]
evalfbb5in [Arg_3 ]
evalfbb4in [Arg_3 ]
evalfbb7in [Arg_3 ]
evalfbb6in [Arg_3 ]
evalfbb8in [Arg_3 ]
evalfbb9in [Arg_3-1 ]
evalfbb10in [Arg_3 ]

MPRF for transition 13:evalfbb9in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> evalfbb10in(Arg_0,Arg_1,Arg_2,Arg_3-1,Arg_4,Arg_5,Arg_6):|:1<=Arg_4 && 2<=Arg_3+Arg_4 && 1+Arg_0<=Arg_4 && 1<=Arg_3 of depth 1:

new bound:

Arg_0 {O(n)}

MPRF:

evalfbb3in [Arg_3 ]
evalfbb5in [Arg_3 ]
evalfbb4in [Arg_3 ]
evalfbb7in [Arg_3 ]
evalfbb6in [Arg_3 ]
evalfbb8in [Arg_3 ]
evalfbb9in [Arg_3 ]
evalfbb10in [Arg_3 ]

MPRF for transition 7:evalfbb6in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> evalfbb7in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:1<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_4<=Arg_0 && 1<=Arg_4 && 2<=Arg_3+Arg_4 && 2<=Arg_0+Arg_4 && 1<=Arg_3 && 2<=Arg_0+Arg_3 && 1<=Arg_0 && Arg_1+1<=Arg_5 of depth 1:

new bound:

Arg_0*Arg_1+Arg_0+Arg_1+1 {O(n^2)}

MPRF:

evalfbb10in [Arg_0+1 ]
evalfbb3in [Arg_0+2-Arg_4 ]
evalfbb5in [Arg_0+2-Arg_4 ]
evalfbb4in [Arg_0+2-Arg_4 ]
evalfbb7in [Arg_0+1-Arg_4 ]
evalfbb6in [Arg_0+2-Arg_4 ]
evalfbb8in [Arg_0+2-Arg_4 ]
evalfbb9in [Arg_0-Arg_4 ]

MPRF for transition 12:evalfbb7in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> evalfbb8in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4+1,Arg_5,Arg_6):|:1<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 1+Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_4<=Arg_0 && 1<=Arg_4 && 2<=Arg_3+Arg_4 && 2<=Arg_0+Arg_4 && 1<=Arg_3 && 2<=Arg_0+Arg_3 && 1<=Arg_0 of depth 1:

new bound:

Arg_0*Arg_0+Arg_0*Arg_1+Arg_0+Arg_1 {O(n^2)}

MPRF:

evalfbb10in [Arg_0+Arg_3 ]
evalfbb3in [Arg_0+Arg_3-Arg_4 ]
evalfbb5in [Arg_0+Arg_3-Arg_4 ]
evalfbb4in [Arg_0+Arg_3-Arg_4 ]
evalfbb7in [Arg_0+Arg_3-Arg_4 ]
evalfbb6in [Arg_0+Arg_3-Arg_4 ]
evalfbb8in [Arg_0+Arg_3-Arg_4 ]
evalfbb9in [Arg_0+Arg_3-Arg_4 ]

MPRF for transition 4:evalfbb8in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> evalfbb6in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_3,Arg_6):|:1<=Arg_4 && 2<=Arg_3+Arg_4 && 1<=Arg_3 && Arg_4<=Arg_0 of depth 1:

new bound:

Arg_0*Arg_1+Arg_1 {O(n^2)}

MPRF:

evalfbb10in [Arg_0 ]
evalfbb3in [Arg_0-Arg_4 ]
evalfbb5in [Arg_0-Arg_4 ]
evalfbb4in [Arg_0-Arg_4 ]
evalfbb7in [Arg_0-Arg_4 ]
evalfbb6in [Arg_0-Arg_4 ]
evalfbb8in [Arg_0+1-Arg_4 ]
evalfbb9in [Arg_0-Arg_4 ]

MPRF for transition 9:evalfbb4in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> evalfbb5in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_6<=Arg_2 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 2<=Arg_1+Arg_5 && 2<=Arg_0+Arg_5 && Arg_4<=Arg_0 && 1<=Arg_4 && 2<=Arg_3+Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_3<=Arg_1 && 1<=Arg_3 && 2<=Arg_1+Arg_3 && 2<=Arg_0+Arg_3 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_4+1<=Arg_6 of depth 1:

new bound:

2*Arg_0*Arg_0*Arg_1+Arg_0*Arg_1*Arg_2+3*Arg_0*Arg_1+Arg_1*Arg_2+Arg_1+Arg_2+Arg_5 {O(n^3)}

MPRF:

evalfbb3in [Arg_1+1-Arg_5 ]
evalfbb5in [Arg_1-Arg_5 ]
evalfbb4in [Arg_1+1-Arg_5 ]
evalfbb6in [Arg_1+1-Arg_5 ]
evalfbb7in [Arg_1-Arg_5 ]
evalfbb8in [Arg_1-Arg_5 ]
evalfbb9in [Arg_1-Arg_5 ]
evalfbb10in [Arg_1-Arg_5 ]

MPRF for transition 11:evalfbb5in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> evalfbb6in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5+1,Arg_6):|:Arg_6<=Arg_2 && 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 3<=Arg_3+Arg_6 && 4<=Arg_2+Arg_6 && 3<=Arg_1+Arg_6 && 3<=Arg_0+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 3<=Arg_2+Arg_5 && 2<=Arg_1+Arg_5 && 2<=Arg_0+Arg_5 && 1+Arg_4<=Arg_2 && Arg_4<=Arg_0 && 1<=Arg_4 && 2<=Arg_3+Arg_4 && 3<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_3<=Arg_1 && 1<=Arg_3 && 3<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && 2<=Arg_0+Arg_3 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 of depth 1:

new bound:

2*Arg_0*Arg_0*Arg_1+Arg_0*Arg_1*Arg_2+3*Arg_0*Arg_1+Arg_1*Arg_2+Arg_1+Arg_2+Arg_5 {O(n^3)}

MPRF:

evalfbb3in [Arg_1+1-Arg_5 ]
evalfbb5in [Arg_1+1-Arg_5 ]
evalfbb4in [Arg_1+1-Arg_5 ]
evalfbb6in [Arg_1+1-Arg_5 ]
evalfbb7in [Arg_1-Arg_5 ]
evalfbb8in [Arg_1-Arg_5 ]
evalfbb9in [Arg_1-Arg_5 ]
evalfbb10in [Arg_1-Arg_5 ]

MPRF for transition 6:evalfbb6in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> evalfbb4in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_2):|:1<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_4<=Arg_0 && 1<=Arg_4 && 2<=Arg_3+Arg_4 && 2<=Arg_0+Arg_4 && 1<=Arg_3 && 2<=Arg_0+Arg_3 && 1<=Arg_0 && Arg_5<=Arg_1 of depth 1:

new bound:

2*Arg_0*Arg_0*Arg_1+Arg_0*Arg_1*Arg_2+3*Arg_0*Arg_1+Arg_1*Arg_2+Arg_1+Arg_2+Arg_5 {O(n^3)}

MPRF:

evalfbb3in [Arg_1-Arg_5 ]
evalfbb5in [Arg_1-Arg_5 ]
evalfbb4in [Arg_1-Arg_5 ]
evalfbb6in [Arg_1+1-Arg_5 ]
evalfbb7in [Arg_1-Arg_5 ]
evalfbb8in [Arg_1-Arg_5 ]
evalfbb9in [Arg_1-Arg_5 ]
evalfbb10in [Arg_1-Arg_5 ]

All Bounds

Timebounds

Overall timebound:inf {Infinity}
2: evalfbb10in->evalfbb8in: Arg_0 {O(n)}
3: evalfbb10in->evalfreturnin: 1 {O(1)}
10: evalfbb3in->evalfbb4in: inf {Infinity}
8: evalfbb4in->evalfbb3in: inf {Infinity}
9: evalfbb4in->evalfbb5in: 2*Arg_0*Arg_0*Arg_1+Arg_0*Arg_1*Arg_2+3*Arg_0*Arg_1+Arg_1*Arg_2+Arg_1+Arg_2+Arg_5 {O(n^3)}
11: evalfbb5in->evalfbb6in: 2*Arg_0*Arg_0*Arg_1+Arg_0*Arg_1*Arg_2+3*Arg_0*Arg_1+Arg_1*Arg_2+Arg_1+Arg_2+Arg_5 {O(n^3)}
6: evalfbb6in->evalfbb4in: 2*Arg_0*Arg_0*Arg_1+Arg_0*Arg_1*Arg_2+3*Arg_0*Arg_1+Arg_1*Arg_2+Arg_1+Arg_2+Arg_5 {O(n^3)}
7: evalfbb6in->evalfbb7in: Arg_0*Arg_1+Arg_0+Arg_1+1 {O(n^2)}
12: evalfbb7in->evalfbb8in: Arg_0*Arg_0+Arg_0*Arg_1+Arg_0+Arg_1 {O(n^2)}
4: evalfbb8in->evalfbb6in: Arg_0*Arg_1+Arg_1 {O(n^2)}
5: evalfbb8in->evalfbb9in: Arg_0 {O(n)}
13: evalfbb9in->evalfbb10in: Arg_0 {O(n)}
1: evalfentryin->evalfbb10in: 1 {O(1)}
14: evalfreturnin->evalfstop: 1 {O(1)}
0: evalfstart->evalfentryin: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
2: evalfbb10in->evalfbb8in: Arg_0 {O(n)}
3: evalfbb10in->evalfreturnin: 1 {O(1)}
10: evalfbb3in->evalfbb4in: inf {Infinity}
8: evalfbb4in->evalfbb3in: inf {Infinity}
9: evalfbb4in->evalfbb5in: 2*Arg_0*Arg_0*Arg_1+Arg_0*Arg_1*Arg_2+3*Arg_0*Arg_1+Arg_1*Arg_2+Arg_1+Arg_2+Arg_5 {O(n^3)}
11: evalfbb5in->evalfbb6in: 2*Arg_0*Arg_0*Arg_1+Arg_0*Arg_1*Arg_2+3*Arg_0*Arg_1+Arg_1*Arg_2+Arg_1+Arg_2+Arg_5 {O(n^3)}
6: evalfbb6in->evalfbb4in: 2*Arg_0*Arg_0*Arg_1+Arg_0*Arg_1*Arg_2+3*Arg_0*Arg_1+Arg_1*Arg_2+Arg_1+Arg_2+Arg_5 {O(n^3)}
7: evalfbb6in->evalfbb7in: Arg_0*Arg_1+Arg_0+Arg_1+1 {O(n^2)}
12: evalfbb7in->evalfbb8in: Arg_0*Arg_0+Arg_0*Arg_1+Arg_0+Arg_1 {O(n^2)}
4: evalfbb8in->evalfbb6in: Arg_0*Arg_1+Arg_1 {O(n^2)}
5: evalfbb8in->evalfbb9in: Arg_0 {O(n)}
13: evalfbb9in->evalfbb10in: Arg_0 {O(n)}
1: evalfentryin->evalfbb10in: 1 {O(1)}
14: evalfreturnin->evalfstop: 1 {O(1)}
0: evalfstart->evalfentryin: 1 {O(1)}

Sizebounds

2: evalfbb10in->evalfbb8in, Arg_0: Arg_1 {O(n)}
2: evalfbb10in->evalfbb8in, Arg_1: Arg_2 {O(n)}
2: evalfbb10in->evalfbb8in, Arg_2: Arg_3 {O(n)}
2: evalfbb10in->evalfbb8in, Arg_3: Arg_0 {O(n)}
2: evalfbb10in->evalfbb8in, Arg_4: 1 {O(1)}
2: evalfbb10in->evalfbb8in, Arg_5: 2*Arg_0*Arg_0*Arg_1+Arg_0*Arg_1*Arg_2+3*Arg_0*Arg_1+Arg_1*Arg_2+2*Arg_5+4*Arg_0+Arg_1+Arg_2 {O(n^3)}
2: evalfbb10in->evalfbb8in, Arg_6: 2*Arg_3+Arg_6 {O(n)}
3: evalfbb10in->evalfreturnin, Arg_0: 2*Arg_1 {O(n)}
3: evalfbb10in->evalfreturnin, Arg_1: 2*Arg_2 {O(n)}
3: evalfbb10in->evalfreturnin, Arg_2: 2*Arg_3 {O(n)}
3: evalfbb10in->evalfreturnin, Arg_3: 2*Arg_0 {O(n)}
3: evalfbb10in->evalfreturnin, Arg_4: Arg_0*Arg_0+Arg_0*Arg_1+Arg_0+Arg_1+Arg_4+2 {O(n^2)}
3: evalfbb10in->evalfreturnin, Arg_5: 2*Arg_0*Arg_0*Arg_1+Arg_0*Arg_1*Arg_2+3*Arg_0*Arg_1+Arg_1*Arg_2+3*Arg_5+4*Arg_0+Arg_1+Arg_2 {O(n^3)}
3: evalfbb10in->evalfreturnin, Arg_6: 2*Arg_3+2*Arg_6 {O(n)}
10: evalfbb3in->evalfbb4in, Arg_0: Arg_1 {O(n)}
10: evalfbb3in->evalfbb4in, Arg_1: Arg_2 {O(n)}
10: evalfbb3in->evalfbb4in, Arg_2: Arg_3 {O(n)}
10: evalfbb3in->evalfbb4in, Arg_3: Arg_0 {O(n)}
10: evalfbb3in->evalfbb4in, Arg_4: Arg_0*Arg_0+Arg_0*Arg_1+Arg_0+Arg_1+1 {O(n^2)}
10: evalfbb3in->evalfbb4in, Arg_5: 2*Arg_0*Arg_0*Arg_1+Arg_0*Arg_1*Arg_2+3*Arg_0*Arg_1+Arg_1*Arg_2+2*Arg_0+Arg_1+Arg_2+Arg_5 {O(n^3)}
8: evalfbb4in->evalfbb3in, Arg_0: Arg_1 {O(n)}
8: evalfbb4in->evalfbb3in, Arg_1: Arg_2 {O(n)}
8: evalfbb4in->evalfbb3in, Arg_2: Arg_3 {O(n)}
8: evalfbb4in->evalfbb3in, Arg_3: Arg_0 {O(n)}
8: evalfbb4in->evalfbb3in, Arg_4: Arg_0*Arg_0+Arg_0*Arg_1+Arg_0+Arg_1+1 {O(n^2)}
8: evalfbb4in->evalfbb3in, Arg_5: 2*Arg_0*Arg_0*Arg_1+Arg_0*Arg_1*Arg_2+3*Arg_0*Arg_1+Arg_1*Arg_2+2*Arg_0+Arg_1+Arg_2+Arg_5 {O(n^3)}
9: evalfbb4in->evalfbb5in, Arg_0: Arg_1 {O(n)}
9: evalfbb4in->evalfbb5in, Arg_1: Arg_2 {O(n)}
9: evalfbb4in->evalfbb5in, Arg_2: Arg_3 {O(n)}
9: evalfbb4in->evalfbb5in, Arg_3: Arg_0 {O(n)}
9: evalfbb4in->evalfbb5in, Arg_4: Arg_0*Arg_0+Arg_0*Arg_1+Arg_0+Arg_1+1 {O(n^2)}
9: evalfbb4in->evalfbb5in, Arg_5: 2*Arg_0*Arg_0*Arg_1+Arg_0*Arg_1*Arg_2+3*Arg_0*Arg_1+Arg_1*Arg_2+2*Arg_0+Arg_1+Arg_2+Arg_5 {O(n^3)}
9: evalfbb4in->evalfbb5in, Arg_6: 2*Arg_3 {O(n)}
11: evalfbb5in->evalfbb6in, Arg_0: Arg_1 {O(n)}
11: evalfbb5in->evalfbb6in, Arg_1: Arg_2 {O(n)}
11: evalfbb5in->evalfbb6in, Arg_2: Arg_3 {O(n)}
11: evalfbb5in->evalfbb6in, Arg_3: Arg_0 {O(n)}
11: evalfbb5in->evalfbb6in, Arg_4: Arg_0*Arg_0+Arg_0*Arg_1+Arg_0+Arg_1+1 {O(n^2)}
11: evalfbb5in->evalfbb6in, Arg_5: 2*Arg_0*Arg_0*Arg_1+Arg_0*Arg_1*Arg_2+3*Arg_0*Arg_1+Arg_1*Arg_2+2*Arg_0+Arg_1+Arg_2+Arg_5 {O(n^3)}
11: evalfbb5in->evalfbb6in, Arg_6: 2*Arg_3 {O(n)}
6: evalfbb6in->evalfbb4in, Arg_0: Arg_1 {O(n)}
6: evalfbb6in->evalfbb4in, Arg_1: Arg_2 {O(n)}
6: evalfbb6in->evalfbb4in, Arg_2: Arg_3 {O(n)}
6: evalfbb6in->evalfbb4in, Arg_3: Arg_0 {O(n)}
6: evalfbb6in->evalfbb4in, Arg_4: Arg_0*Arg_0+Arg_0*Arg_1+Arg_0+Arg_1+1 {O(n^2)}
6: evalfbb6in->evalfbb4in, Arg_5: 2*Arg_0*Arg_0*Arg_1+Arg_0*Arg_1*Arg_2+3*Arg_0*Arg_1+Arg_1*Arg_2+2*Arg_0+Arg_1+Arg_2+Arg_5 {O(n^3)}
6: evalfbb6in->evalfbb4in, Arg_6: 2*Arg_3 {O(n)}
7: evalfbb6in->evalfbb7in, Arg_0: Arg_1 {O(n)}
7: evalfbb6in->evalfbb7in, Arg_1: Arg_2 {O(n)}
7: evalfbb6in->evalfbb7in, Arg_2: Arg_3 {O(n)}
7: evalfbb6in->evalfbb7in, Arg_3: Arg_0 {O(n)}
7: evalfbb6in->evalfbb7in, Arg_4: Arg_0*Arg_0+Arg_0*Arg_1+Arg_0+Arg_1+1 {O(n^2)}
7: evalfbb6in->evalfbb7in, Arg_5: 2*Arg_0*Arg_0*Arg_1+Arg_0*Arg_1*Arg_2+3*Arg_0*Arg_1+Arg_1*Arg_2+4*Arg_0+Arg_1+Arg_2+Arg_5 {O(n^3)}
7: evalfbb6in->evalfbb7in, Arg_6: 2*Arg_3+Arg_6 {O(n)}
12: evalfbb7in->evalfbb8in, Arg_0: Arg_1 {O(n)}
12: evalfbb7in->evalfbb8in, Arg_1: Arg_2 {O(n)}
12: evalfbb7in->evalfbb8in, Arg_2: Arg_3 {O(n)}
12: evalfbb7in->evalfbb8in, Arg_3: Arg_0 {O(n)}
12: evalfbb7in->evalfbb8in, Arg_4: Arg_0*Arg_0+Arg_0*Arg_1+Arg_0+Arg_1+1 {O(n^2)}
12: evalfbb7in->evalfbb8in, Arg_5: 2*Arg_0*Arg_0*Arg_1+Arg_0*Arg_1*Arg_2+3*Arg_0*Arg_1+Arg_1*Arg_2+4*Arg_0+Arg_1+Arg_2+Arg_5 {O(n^3)}
12: evalfbb7in->evalfbb8in, Arg_6: 2*Arg_3+Arg_6 {O(n)}
4: evalfbb8in->evalfbb6in, Arg_0: Arg_1 {O(n)}
4: evalfbb8in->evalfbb6in, Arg_1: Arg_2 {O(n)}
4: evalfbb8in->evalfbb6in, Arg_2: Arg_3 {O(n)}
4: evalfbb8in->evalfbb6in, Arg_3: Arg_0 {O(n)}
4: evalfbb8in->evalfbb6in, Arg_4: Arg_0*Arg_0+Arg_0*Arg_1+Arg_0+Arg_1+1 {O(n^2)}
4: evalfbb8in->evalfbb6in, Arg_5: 2*Arg_0 {O(n)}
4: evalfbb8in->evalfbb6in, Arg_6: 2*Arg_3+Arg_6 {O(n)}
5: evalfbb8in->evalfbb9in, Arg_0: Arg_1 {O(n)}
5: evalfbb8in->evalfbb9in, Arg_1: Arg_2 {O(n)}
5: evalfbb8in->evalfbb9in, Arg_2: Arg_3 {O(n)}
5: evalfbb8in->evalfbb9in, Arg_3: Arg_0 {O(n)}
5: evalfbb8in->evalfbb9in, Arg_4: Arg_0*Arg_0+Arg_0*Arg_1+Arg_0+Arg_1+2 {O(n^2)}
5: evalfbb8in->evalfbb9in, Arg_5: 2*Arg_0*Arg_0*Arg_1+Arg_0*Arg_1*Arg_2+3*Arg_0*Arg_1+Arg_1*Arg_2+2*Arg_5+4*Arg_0+Arg_1+Arg_2 {O(n^3)}
5: evalfbb8in->evalfbb9in, Arg_6: 2*Arg_3+Arg_6 {O(n)}
13: evalfbb9in->evalfbb10in, Arg_0: Arg_1 {O(n)}
13: evalfbb9in->evalfbb10in, Arg_1: Arg_2 {O(n)}
13: evalfbb9in->evalfbb10in, Arg_2: Arg_3 {O(n)}
13: evalfbb9in->evalfbb10in, Arg_3: Arg_0 {O(n)}
13: evalfbb9in->evalfbb10in, Arg_4: Arg_0*Arg_0+Arg_0*Arg_1+Arg_0+Arg_1+2 {O(n^2)}
13: evalfbb9in->evalfbb10in, Arg_5: 2*Arg_0*Arg_0*Arg_1+Arg_0*Arg_1*Arg_2+3*Arg_0*Arg_1+Arg_1*Arg_2+2*Arg_5+4*Arg_0+Arg_1+Arg_2 {O(n^3)}
13: evalfbb9in->evalfbb10in, Arg_6: 2*Arg_3+Arg_6 {O(n)}
1: evalfentryin->evalfbb10in, Arg_0: Arg_1 {O(n)}
1: evalfentryin->evalfbb10in, Arg_1: Arg_2 {O(n)}
1: evalfentryin->evalfbb10in, Arg_2: Arg_3 {O(n)}
1: evalfentryin->evalfbb10in, Arg_3: Arg_0 {O(n)}
1: evalfentryin->evalfbb10in, Arg_4: Arg_4 {O(n)}
1: evalfentryin->evalfbb10in, Arg_5: Arg_5 {O(n)}
1: evalfentryin->evalfbb10in, Arg_6: Arg_6 {O(n)}
14: evalfreturnin->evalfstop, Arg_0: 2*Arg_1 {O(n)}
14: evalfreturnin->evalfstop, Arg_1: 2*Arg_2 {O(n)}
14: evalfreturnin->evalfstop, Arg_2: 2*Arg_3 {O(n)}
14: evalfreturnin->evalfstop, Arg_3: 2*Arg_0 {O(n)}
14: evalfreturnin->evalfstop, Arg_4: Arg_0*Arg_0+Arg_0*Arg_1+Arg_0+Arg_1+Arg_4+2 {O(n^2)}
14: evalfreturnin->evalfstop, Arg_5: 2*Arg_0*Arg_0*Arg_1+Arg_0*Arg_1*Arg_2+3*Arg_0*Arg_1+Arg_1*Arg_2+3*Arg_5+4*Arg_0+Arg_1+Arg_2 {O(n^3)}
14: evalfreturnin->evalfstop, Arg_6: 2*Arg_3+2*Arg_6 {O(n)}
0: evalfstart->evalfentryin, Arg_0: Arg_0 {O(n)}
0: evalfstart->evalfentryin, Arg_1: Arg_1 {O(n)}
0: evalfstart->evalfentryin, Arg_2: Arg_2 {O(n)}
0: evalfstart->evalfentryin, Arg_3: Arg_3 {O(n)}
0: evalfstart->evalfentryin, Arg_4: Arg_4 {O(n)}
0: evalfstart->evalfentryin, Arg_5: Arg_5 {O(n)}
0: evalfstart->evalfentryin, Arg_6: Arg_6 {O(n)}