Initial Problem

Start: evalfstart
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5
Temp_Vars: G
Locations: evalfbb1in, evalfbb2in, evalfbb3in, evalfbb4in, evalfbb5in, evalfbb6in, evalfbb7in, evalfbb8in, evalfbb9in, evalfbbin, evalfentryin, evalfreturnin, evalfstart, evalfstop
Transitions:
10:evalfbb1in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalfbb3in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_2,Arg_3-1)
16:evalfbb2in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalfbb3in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4+1,Arg_5-2)
12:evalfbb3in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalfbb4in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:3<=0
11:evalfbb3in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalfbb5in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5)
13:evalfbb4in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalfbb2in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:G+1<=0
14:evalfbb4in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalfbb2in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:1<=G
15:evalfbb4in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalfbb5in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5)
17:evalfbb5in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalfbb6in(Arg_0,Arg_1,Arg_4,Arg_5-1,Arg_4,Arg_5)
6:evalfbb6in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalfbb7in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_2+1<=Arg_3
5:evalfbb6in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalfbb8in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_3<=Arg_2
7:evalfbb7in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalfbb1in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:G+1<=0
8:evalfbb7in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalfbb1in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:1<=G
9:evalfbb7in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalfbb8in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5)
18:evalfbb8in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalfbb9in(Arg_3+1-Arg_2,Arg_2-1,Arg_2,Arg_3,Arg_4,Arg_5)
2:evalfbb9in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalfbbin(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:2<=Arg_1
3:evalfbb9in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalfreturnin(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_1<=1
4:evalfbbin(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalfbb6in(Arg_0,Arg_1,Arg_1-1,Arg_0+Arg_1-1,Arg_4,Arg_5)
1:evalfentryin(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalfbb9in(Arg_1,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5)
19:evalfreturnin(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalfstop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5)
0:evalfstart(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalfentryin(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5)

Preprocessing

Cut unsatisfiable transition 12: evalfbb3in->evalfbb4in

Cut unsatisfiable transition 13: evalfbb4in->evalfbb2in

Cut unsatisfiable transition 14: evalfbb4in->evalfbb2in

Cut unsatisfiable transition 15: evalfbb4in->evalfbb5in

Cut unreachable locations [evalfbb2in; evalfbb4in] from the program graph

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

Found invariant Arg_1<=1 for location evalfreturnin

Found invariant 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 4<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 2<=Arg_1 for location evalfbb1in

Found invariant 2<=Arg_1 for location evalfbbin

Found invariant 1+Arg_5<=Arg_3 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 3<=Arg_3+Arg_5 && Arg_3<=1+Arg_5 && 2<=Arg_2+Arg_5 && Arg_2<=Arg_5 && 3<=Arg_1+Arg_5 && Arg_1<=1+Arg_5 && 1+Arg_4<=Arg_3 && Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 3<=Arg_3+Arg_4 && 2<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 3<=Arg_1+Arg_4 && Arg_1<=1+Arg_4 && 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 4<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 2<=Arg_1 for location evalfbb3in

Found invariant 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 2<=Arg_1 for location evalfbb6in

Found invariant 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 4<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 2<=Arg_1 for location evalfbb7in

Found invariant Arg_1<=1 for location evalfstop

Found invariant 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 2<=Arg_1 for location evalfbb8in

Problem after Preprocessing

Start: evalfstart
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5
Temp_Vars: G
Locations: evalfbb1in, evalfbb3in, evalfbb5in, evalfbb6in, evalfbb7in, evalfbb8in, evalfbb9in, evalfbbin, evalfentryin, evalfreturnin, evalfstart, evalfstop
Transitions:
10:evalfbb1in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalfbb3in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_2,Arg_3-1):|:2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 4<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 2<=Arg_1
11:evalfbb3in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalfbb5in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:1+Arg_5<=Arg_3 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 3<=Arg_3+Arg_5 && Arg_3<=1+Arg_5 && 2<=Arg_2+Arg_5 && Arg_2<=Arg_5 && 3<=Arg_1+Arg_5 && Arg_1<=1+Arg_5 && 1+Arg_4<=Arg_3 && Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 3<=Arg_3+Arg_4 && 2<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 3<=Arg_1+Arg_4 && Arg_1<=1+Arg_4 && 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 4<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 2<=Arg_1
17:evalfbb5in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalfbb6in(Arg_0,Arg_1,Arg_4,Arg_5-1,Arg_4,Arg_5):|:1+Arg_5<=Arg_3 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 3<=Arg_3+Arg_5 && Arg_3<=1+Arg_5 && 2<=Arg_2+Arg_5 && Arg_2<=Arg_5 && 3<=Arg_1+Arg_5 && Arg_1<=1+Arg_5 && 1+Arg_4<=Arg_3 && Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 3<=Arg_3+Arg_4 && 2<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 3<=Arg_1+Arg_4 && Arg_1<=1+Arg_4 && 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 4<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 2<=Arg_1
6:evalfbb6in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalfbb7in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 2<=Arg_1 && Arg_2+1<=Arg_3
5:evalfbb6in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalfbb8in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 2<=Arg_1 && Arg_3<=Arg_2
7:evalfbb7in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalfbb1in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 4<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 2<=Arg_1 && G+1<=0
8:evalfbb7in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalfbb1in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 4<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 2<=Arg_1 && 1<=G
9:evalfbb7in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalfbb8in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 4<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 2<=Arg_1
18:evalfbb8in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalfbb9in(Arg_3+1-Arg_2,Arg_2-1,Arg_2,Arg_3,Arg_4,Arg_5):|:1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 2<=Arg_1
2:evalfbb9in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalfbbin(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:2<=Arg_1
3:evalfbb9in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalfreturnin(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_1<=1
4:evalfbbin(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalfbb6in(Arg_0,Arg_1,Arg_1-1,Arg_0+Arg_1-1,Arg_4,Arg_5):|:2<=Arg_1
1:evalfentryin(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalfbb9in(Arg_1,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5)
19:evalfreturnin(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalfstop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_1<=1
0:evalfstart(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalfentryin(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5)

MPRF for transition 10:evalfbb1in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalfbb3in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_2,Arg_3-1):|:2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 4<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 2<=Arg_1 of depth 1:

new bound:

2*Arg_1 {O(n)}

MPRF:

evalfbb3in [Arg_3-2 ]
evalfbb5in [Arg_3-2 ]
evalfbb1in [Arg_3-1 ]
evalfbb7in [Arg_3 ]
evalfbb8in [Arg_3 ]
evalfbb9in [Arg_0+Arg_1 ]
evalfbbin [Arg_0+Arg_1 ]
evalfbb6in [Arg_3 ]

MPRF for transition 11:evalfbb3in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalfbb5in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:1+Arg_5<=Arg_3 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 3<=Arg_3+Arg_5 && Arg_3<=1+Arg_5 && 2<=Arg_2+Arg_5 && Arg_2<=Arg_5 && 3<=Arg_1+Arg_5 && Arg_1<=1+Arg_5 && 1+Arg_4<=Arg_3 && Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 3<=Arg_3+Arg_4 && 2<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 3<=Arg_1+Arg_4 && Arg_1<=1+Arg_4 && 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 4<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 2<=Arg_1 of depth 1:

new bound:

3*Arg_1+1 {O(n)}

MPRF:

evalfbb3in [2*Arg_3-Arg_1-1 ]
evalfbb5in [2*Arg_3-Arg_4-4 ]
evalfbb1in [2*Arg_3-Arg_1-1 ]
evalfbb7in [2*Arg_3-Arg_2 ]
evalfbb8in [2*Arg_3-Arg_2 ]
evalfbb9in [2*Arg_0+Arg_1-1 ]
evalfbbin [2*Arg_0+Arg_1-1 ]
evalfbb6in [2*Arg_3-Arg_2 ]

MPRF for transition 17:evalfbb5in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalfbb6in(Arg_0,Arg_1,Arg_4,Arg_5-1,Arg_4,Arg_5):|:1+Arg_5<=Arg_3 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 3<=Arg_3+Arg_5 && Arg_3<=1+Arg_5 && 2<=Arg_2+Arg_5 && Arg_2<=Arg_5 && 3<=Arg_1+Arg_5 && Arg_1<=1+Arg_5 && 1+Arg_4<=Arg_3 && Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 3<=Arg_3+Arg_4 && 2<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 3<=Arg_1+Arg_4 && Arg_1<=1+Arg_4 && 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 4<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 2<=Arg_1 of depth 1:

new bound:

2*Arg_1 {O(n)}

MPRF:

evalfbb3in [Arg_3 ]
evalfbb5in [Arg_3 ]
evalfbb1in [Arg_3 ]
evalfbb7in [Arg_3 ]
evalfbb8in [Arg_3 ]
evalfbb9in [Arg_0+Arg_1 ]
evalfbbin [Arg_0+Arg_1 ]
evalfbb6in [Arg_3 ]

MPRF for transition 5:evalfbb6in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalfbb8in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 2<=Arg_1 && Arg_3<=Arg_2 of depth 1:

new bound:

Arg_1+1 {O(n)}

MPRF:

evalfbb3in [Arg_1+Arg_4-Arg_2-1 ]
evalfbb5in [Arg_1+Arg_4-Arg_2-1 ]
evalfbb1in [Arg_1-1 ]
evalfbb7in [Arg_2 ]
evalfbb8in [Arg_2-2 ]
evalfbb9in [Arg_1-1 ]
evalfbbin [Arg_1-1 ]
evalfbb6in [Arg_2 ]

MPRF for transition 6:evalfbb6in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalfbb7in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 2<=Arg_1 && Arg_2+1<=Arg_3 of depth 1:

new bound:

2*Arg_1+2 {O(n)}

MPRF:

evalfbb3in [Arg_2+Arg_5-Arg_1-1 ]
evalfbb5in [2*Arg_2+Arg_5-Arg_1-Arg_4-1 ]
evalfbb1in [Arg_2+Arg_3-Arg_1-2 ]
evalfbb7in [Arg_1+Arg_3-Arg_2-3 ]
evalfbb8in [Arg_2+Arg_3-Arg_1-1 ]
evalfbb9in [Arg_0+Arg_1-2 ]
evalfbbin [Arg_0+Arg_1-2 ]
evalfbb6in [Arg_1+Arg_3-Arg_2-2 ]

MPRF for transition 7:evalfbb7in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalfbb1in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 4<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 2<=Arg_1 && G+1<=0 of depth 1:

new bound:

2*Arg_1+1 {O(n)}

MPRF:

evalfbb3in [Arg_5-1 ]
evalfbb5in [Arg_5-1 ]
evalfbb1in [Arg_3-2 ]
evalfbb7in [Arg_3-1 ]
evalfbb8in [Arg_3-1 ]
evalfbb9in [Arg_0+Arg_1-1 ]
evalfbbin [Arg_0+Arg_1-1 ]
evalfbb6in [Arg_3 ]

MPRF for transition 8:evalfbb7in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalfbb1in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 4<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 2<=Arg_1 && 1<=G of depth 1:

new bound:

2*Arg_1+1 {O(n)}

MPRF:

evalfbb3in [Arg_5-1 ]
evalfbb5in [Arg_5-1 ]
evalfbb1in [Arg_3-2 ]
evalfbb7in [Arg_3-1 ]
evalfbb8in [Arg_1+Arg_3-Arg_2-2 ]
evalfbb9in [Arg_0+Arg_1-1 ]
evalfbbin [Arg_0+Arg_1-1 ]
evalfbb6in [Arg_3 ]

MPRF for transition 9:evalfbb7in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalfbb8in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 4<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 2<=Arg_1 of depth 1:

new bound:

2*Arg_1+1 {O(n)}

MPRF:

evalfbb3in [Arg_1+Arg_3-Arg_4-1 ]
evalfbb5in [Arg_1+Arg_5-Arg_2 ]
evalfbb1in [Arg_1+Arg_3-Arg_2-1 ]
evalfbb7in [Arg_2+Arg_3+1-Arg_1 ]
evalfbb8in [Arg_2+Arg_3-Arg_1 ]
evalfbb9in [Arg_0+Arg_1-1 ]
evalfbbin [Arg_0+Arg_1-1 ]
evalfbb6in [Arg_3 ]

MPRF for transition 18:evalfbb8in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalfbb9in(Arg_3+1-Arg_2,Arg_2-1,Arg_2,Arg_3,Arg_4,Arg_5):|:1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 2<=Arg_1 of depth 1:

new bound:

Arg_1 {O(n)}

MPRF:

evalfbb3in [Arg_4 ]
evalfbb5in [Arg_2 ]
evalfbb1in [Arg_2 ]
evalfbb7in [Arg_2 ]
evalfbb8in [Arg_1-1 ]
evalfbb9in [Arg_1 ]
evalfbbin [Arg_1 ]
evalfbb6in [Arg_2 ]

MPRF for transition 2:evalfbb9in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalfbbin(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:2<=Arg_1 of depth 1:

new bound:

Arg_1+1 {O(n)}

MPRF:

evalfbb3in [Arg_1 ]
evalfbb5in [Arg_2+1 ]
evalfbb1in [Arg_1 ]
evalfbb7in [Arg_2+1 ]
evalfbb8in [Arg_1 ]
evalfbb9in [Arg_1+1 ]
evalfbbin [Arg_1 ]
evalfbb6in [Arg_1 ]

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

new bound:

Arg_1+2 {O(n)}

MPRF:

evalfbb3in [Arg_4+1 ]
evalfbb5in [Arg_4+1 ]
evalfbb1in [Arg_2+1 ]
evalfbb7in [Arg_1 ]
evalfbb8in [Arg_2+1 ]
evalfbb9in [Arg_1+2 ]
evalfbbin [Arg_1+2 ]
evalfbb6in [Arg_1 ]

All Bounds

Timebounds

Overall timebound:19*Arg_1+14 {O(n)}
10: evalfbb1in->evalfbb3in: 2*Arg_1 {O(n)}
11: evalfbb3in->evalfbb5in: 3*Arg_1+1 {O(n)}
17: evalfbb5in->evalfbb6in: 2*Arg_1 {O(n)}
5: evalfbb6in->evalfbb8in: Arg_1+1 {O(n)}
6: evalfbb6in->evalfbb7in: 2*Arg_1+2 {O(n)}
7: evalfbb7in->evalfbb1in: 2*Arg_1+1 {O(n)}
8: evalfbb7in->evalfbb1in: 2*Arg_1+1 {O(n)}
9: evalfbb7in->evalfbb8in: 2*Arg_1+1 {O(n)}
18: evalfbb8in->evalfbb9in: Arg_1 {O(n)}
2: evalfbb9in->evalfbbin: Arg_1+1 {O(n)}
3: evalfbb9in->evalfreturnin: 1 {O(1)}
4: evalfbbin->evalfbb6in: Arg_1+2 {O(n)}
1: evalfentryin->evalfbb9in: 1 {O(1)}
19: evalfreturnin->evalfstop: 1 {O(1)}
0: evalfstart->evalfentryin: 1 {O(1)}

Costbounds

Overall costbound: 19*Arg_1+14 {O(n)}
10: evalfbb1in->evalfbb3in: 2*Arg_1 {O(n)}
11: evalfbb3in->evalfbb5in: 3*Arg_1+1 {O(n)}
17: evalfbb5in->evalfbb6in: 2*Arg_1 {O(n)}
5: evalfbb6in->evalfbb8in: Arg_1+1 {O(n)}
6: evalfbb6in->evalfbb7in: 2*Arg_1+2 {O(n)}
7: evalfbb7in->evalfbb1in: 2*Arg_1+1 {O(n)}
8: evalfbb7in->evalfbb1in: 2*Arg_1+1 {O(n)}
9: evalfbb7in->evalfbb8in: 2*Arg_1+1 {O(n)}
18: evalfbb8in->evalfbb9in: Arg_1 {O(n)}
2: evalfbb9in->evalfbbin: Arg_1+1 {O(n)}
3: evalfbb9in->evalfreturnin: 1 {O(1)}
4: evalfbbin->evalfbb6in: Arg_1+2 {O(n)}
1: evalfentryin->evalfbb9in: 1 {O(1)}
19: evalfreturnin->evalfstop: 1 {O(1)}
0: evalfstart->evalfentryin: 1 {O(1)}

Sizebounds

10: evalfbb1in->evalfbb3in, Arg_0: 4*Arg_1*Arg_1+7*Arg_1 {O(n^2)}
10: evalfbb1in->evalfbb3in, Arg_1: Arg_1 {O(n)}
10: evalfbb1in->evalfbb3in, Arg_2: Arg_1 {O(n)}
10: evalfbb1in->evalfbb3in, Arg_3: 4*Arg_1*Arg_1+7*Arg_1 {O(n^2)}
10: evalfbb1in->evalfbb3in, Arg_4: 2*Arg_1 {O(n)}
10: evalfbb1in->evalfbb3in, Arg_5: 8*Arg_1*Arg_1+14*Arg_1 {O(n^2)}
11: evalfbb3in->evalfbb5in, Arg_0: 4*Arg_1*Arg_1+7*Arg_1 {O(n^2)}
11: evalfbb3in->evalfbb5in, Arg_1: Arg_1 {O(n)}
11: evalfbb3in->evalfbb5in, Arg_2: Arg_1 {O(n)}
11: evalfbb3in->evalfbb5in, Arg_3: 4*Arg_1*Arg_1+7*Arg_1 {O(n^2)}
11: evalfbb3in->evalfbb5in, Arg_4: 2*Arg_1 {O(n)}
11: evalfbb3in->evalfbb5in, Arg_5: 8*Arg_1*Arg_1+14*Arg_1 {O(n^2)}
17: evalfbb5in->evalfbb6in, Arg_0: 4*Arg_1*Arg_1+7*Arg_1 {O(n^2)}
17: evalfbb5in->evalfbb6in, Arg_1: Arg_1 {O(n)}
17: evalfbb5in->evalfbb6in, Arg_2: Arg_1 {O(n)}
17: evalfbb5in->evalfbb6in, Arg_3: 4*Arg_1*Arg_1+7*Arg_1 {O(n^2)}
17: evalfbb5in->evalfbb6in, Arg_4: 2*Arg_1 {O(n)}
17: evalfbb5in->evalfbb6in, Arg_5: 8*Arg_1*Arg_1+14*Arg_1 {O(n^2)}
5: evalfbb6in->evalfbb8in, Arg_0: 8*Arg_1*Arg_1+14*Arg_1 {O(n^2)}
5: evalfbb6in->evalfbb8in, Arg_1: Arg_1 {O(n)}
5: evalfbb6in->evalfbb8in, Arg_2: 2*Arg_1 {O(n)}
5: evalfbb6in->evalfbb8in, Arg_3: 4*Arg_1*Arg_1+7*Arg_1 {O(n^2)}
5: evalfbb6in->evalfbb8in, Arg_4: 4*Arg_1+Arg_4 {O(n)}
5: evalfbb6in->evalfbb8in, Arg_5: 16*Arg_1*Arg_1+28*Arg_1+Arg_5 {O(n^2)}
6: evalfbb6in->evalfbb7in, Arg_0: 4*Arg_1*Arg_1+7*Arg_1 {O(n^2)}
6: evalfbb6in->evalfbb7in, Arg_1: Arg_1 {O(n)}
6: evalfbb6in->evalfbb7in, Arg_2: Arg_1 {O(n)}
6: evalfbb6in->evalfbb7in, Arg_3: 4*Arg_1*Arg_1+7*Arg_1 {O(n^2)}
6: evalfbb6in->evalfbb7in, Arg_4: 4*Arg_1+Arg_4 {O(n)}
6: evalfbb6in->evalfbb7in, Arg_5: 16*Arg_1*Arg_1+28*Arg_1+Arg_5 {O(n^2)}
7: evalfbb7in->evalfbb1in, Arg_0: 4*Arg_1*Arg_1+7*Arg_1 {O(n^2)}
7: evalfbb7in->evalfbb1in, Arg_1: Arg_1 {O(n)}
7: evalfbb7in->evalfbb1in, Arg_2: Arg_1 {O(n)}
7: evalfbb7in->evalfbb1in, Arg_3: 4*Arg_1*Arg_1+7*Arg_1 {O(n^2)}
7: evalfbb7in->evalfbb1in, Arg_4: 4*Arg_1+Arg_4 {O(n)}
7: evalfbb7in->evalfbb1in, Arg_5: 16*Arg_1*Arg_1+28*Arg_1+Arg_5 {O(n^2)}
8: evalfbb7in->evalfbb1in, Arg_0: 4*Arg_1*Arg_1+7*Arg_1 {O(n^2)}
8: evalfbb7in->evalfbb1in, Arg_1: Arg_1 {O(n)}
8: evalfbb7in->evalfbb1in, Arg_2: Arg_1 {O(n)}
8: evalfbb7in->evalfbb1in, Arg_3: 4*Arg_1*Arg_1+7*Arg_1 {O(n^2)}
8: evalfbb7in->evalfbb1in, Arg_4: 4*Arg_1+Arg_4 {O(n)}
8: evalfbb7in->evalfbb1in, Arg_5: 16*Arg_1*Arg_1+28*Arg_1+Arg_5 {O(n^2)}
9: evalfbb7in->evalfbb8in, Arg_0: 4*Arg_1*Arg_1+7*Arg_1 {O(n^2)}
9: evalfbb7in->evalfbb8in, Arg_1: Arg_1 {O(n)}
9: evalfbb7in->evalfbb8in, Arg_2: Arg_1 {O(n)}
9: evalfbb7in->evalfbb8in, Arg_3: 4*Arg_1*Arg_1+7*Arg_1 {O(n^2)}
9: evalfbb7in->evalfbb8in, Arg_4: 4*Arg_1+Arg_4 {O(n)}
9: evalfbb7in->evalfbb8in, Arg_5: 16*Arg_1*Arg_1+28*Arg_1+Arg_5 {O(n^2)}
18: evalfbb8in->evalfbb9in, Arg_0: 4*Arg_1*Arg_1+7*Arg_1 {O(n^2)}
18: evalfbb8in->evalfbb9in, Arg_1: Arg_1 {O(n)}
18: evalfbb8in->evalfbb9in, Arg_2: 3*Arg_1 {O(n)}
18: evalfbb8in->evalfbb9in, Arg_3: 8*Arg_1*Arg_1+14*Arg_1 {O(n^2)}
18: evalfbb8in->evalfbb9in, Arg_4: 4*Arg_1+Arg_4 {O(n)}
18: evalfbb8in->evalfbb9in, Arg_5: 16*Arg_1*Arg_1+28*Arg_1+Arg_5 {O(n^2)}
2: evalfbb9in->evalfbbin, Arg_0: 4*Arg_1*Arg_1+7*Arg_1 {O(n^2)}
2: evalfbb9in->evalfbbin, Arg_1: Arg_1 {O(n)}
2: evalfbb9in->evalfbbin, Arg_2: 3*Arg_1+Arg_2 {O(n)}
2: evalfbb9in->evalfbbin, Arg_3: 8*Arg_1*Arg_1+14*Arg_1+Arg_3 {O(n^2)}
2: evalfbb9in->evalfbbin, Arg_4: 4*Arg_1+Arg_4 {O(n)}
2: evalfbb9in->evalfbbin, Arg_5: 16*Arg_1*Arg_1+28*Arg_1+Arg_5 {O(n^2)}
3: evalfbb9in->evalfreturnin, Arg_0: 4*Arg_1*Arg_1+8*Arg_1 {O(n^2)}
3: evalfbb9in->evalfreturnin, Arg_1: 2*Arg_1 {O(n)}
3: evalfbb9in->evalfreturnin, Arg_2: 3*Arg_1+Arg_2 {O(n)}
3: evalfbb9in->evalfreturnin, Arg_3: 8*Arg_1*Arg_1+14*Arg_1+Arg_3 {O(n^2)}
3: evalfbb9in->evalfreturnin, Arg_4: 2*Arg_4+4*Arg_1 {O(n)}
3: evalfbb9in->evalfreturnin, Arg_5: 16*Arg_1*Arg_1+2*Arg_5+28*Arg_1 {O(n^2)}
4: evalfbbin->evalfbb6in, Arg_0: 4*Arg_1*Arg_1+7*Arg_1 {O(n^2)}
4: evalfbbin->evalfbb6in, Arg_1: Arg_1 {O(n)}
4: evalfbbin->evalfbb6in, Arg_2: Arg_1 {O(n)}
4: evalfbbin->evalfbb6in, Arg_3: 4*Arg_1*Arg_1+7*Arg_1 {O(n^2)}
4: evalfbbin->evalfbb6in, Arg_4: 4*Arg_1+Arg_4 {O(n)}
4: evalfbbin->evalfbb6in, Arg_5: 16*Arg_1*Arg_1+28*Arg_1+Arg_5 {O(n^2)}
1: evalfentryin->evalfbb9in, Arg_0: Arg_1 {O(n)}
1: evalfentryin->evalfbb9in, Arg_1: Arg_1 {O(n)}
1: evalfentryin->evalfbb9in, Arg_2: Arg_2 {O(n)}
1: evalfentryin->evalfbb9in, Arg_3: Arg_3 {O(n)}
1: evalfentryin->evalfbb9in, Arg_4: Arg_4 {O(n)}
1: evalfentryin->evalfbb9in, Arg_5: Arg_5 {O(n)}
19: evalfreturnin->evalfstop, Arg_0: 4*Arg_1*Arg_1+8*Arg_1 {O(n^2)}
19: evalfreturnin->evalfstop, Arg_1: 2*Arg_1 {O(n)}
19: evalfreturnin->evalfstop, Arg_2: 3*Arg_1+Arg_2 {O(n)}
19: evalfreturnin->evalfstop, Arg_3: 8*Arg_1*Arg_1+14*Arg_1+Arg_3 {O(n^2)}
19: evalfreturnin->evalfstop, Arg_4: 2*Arg_4+4*Arg_1 {O(n)}
19: evalfreturnin->evalfstop, Arg_5: 16*Arg_1*Arg_1+2*Arg_5+28*Arg_1 {O(n^2)}
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)}