Initial Problem

Start: f0
Program_Vars: Arg_0, Arg_1, Arg_2
Temp_Vars:
Locations: f0, f6, f8
Transitions:
0:f0(Arg_0,Arg_1,Arg_2) -> f8(0,10,0)
2:f8(Arg_0,Arg_1,Arg_2) -> f6(Arg_0,Arg_1,Arg_2):|:Arg_0+1<=2*Arg_1 && Arg_1<=Arg_2
3:f8(Arg_0,Arg_1,Arg_2) -> f6(Arg_0,Arg_1,Arg_2):|:2*Arg_1<=Arg_0 && Arg_1<=Arg_2
1:f8(Arg_0,Arg_1,Arg_2) -> f8(Arg_0+2,Arg_1,Arg_2+1):|:Arg_2+1<=Arg_1

Preprocessing

Found invariant Arg_2<=10 && Arg_2<=Arg_1 && Arg_1+Arg_2<=20 && Arg_2<=Arg_0 && 10<=Arg_2 && 20<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 20<=Arg_0+Arg_2 && Arg_1<=10 && Arg_1<=Arg_0 && 10<=Arg_1 && 20<=Arg_0+Arg_1 && 10<=Arg_0 for location f6

Found invariant Arg_2<=10 && Arg_2<=Arg_1 && Arg_1+Arg_2<=20 && Arg_2<=Arg_0 && 0<=Arg_2 && 10<=Arg_1+Arg_2 && Arg_1<=10+Arg_2 && 0<=Arg_0+Arg_2 && Arg_1<=10 && Arg_1<=10+Arg_0 && 10<=Arg_1 && 10<=Arg_0+Arg_1 && 0<=Arg_0 for location f8

Problem after Preprocessing

Start: f0
Program_Vars: Arg_0, Arg_1, Arg_2
Temp_Vars:
Locations: f0, f6, f8
Transitions:
0:f0(Arg_0,Arg_1,Arg_2) -> f8(0,10,0)
2:f8(Arg_0,Arg_1,Arg_2) -> f6(Arg_0,Arg_1,Arg_2):|:Arg_2<=10 && Arg_2<=Arg_1 && Arg_1+Arg_2<=20 && Arg_2<=Arg_0 && 0<=Arg_2 && 10<=Arg_1+Arg_2 && Arg_1<=10+Arg_2 && 0<=Arg_0+Arg_2 && Arg_1<=10 && Arg_1<=10+Arg_0 && 10<=Arg_1 && 10<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_0+1<=2*Arg_1 && Arg_1<=Arg_2
3:f8(Arg_0,Arg_1,Arg_2) -> f6(Arg_0,Arg_1,Arg_2):|:Arg_2<=10 && Arg_2<=Arg_1 && Arg_1+Arg_2<=20 && Arg_2<=Arg_0 && 0<=Arg_2 && 10<=Arg_1+Arg_2 && Arg_1<=10+Arg_2 && 0<=Arg_0+Arg_2 && Arg_1<=10 && Arg_1<=10+Arg_0 && 10<=Arg_1 && 10<=Arg_0+Arg_1 && 0<=Arg_0 && 2*Arg_1<=Arg_0 && Arg_1<=Arg_2
1:f8(Arg_0,Arg_1,Arg_2) -> f8(Arg_0+2,Arg_1,Arg_2+1):|:Arg_2<=10 && Arg_2<=Arg_1 && Arg_1+Arg_2<=20 && Arg_2<=Arg_0 && 0<=Arg_2 && 10<=Arg_1+Arg_2 && Arg_1<=10+Arg_2 && 0<=Arg_0+Arg_2 && Arg_1<=10 && Arg_1<=10+Arg_0 && 10<=Arg_1 && 10<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_2+1<=Arg_1

MPRF for transition 1:f8(Arg_0,Arg_1,Arg_2) -> f8(Arg_0+2,Arg_1,Arg_2+1):|:Arg_2<=10 && Arg_2<=Arg_1 && Arg_1+Arg_2<=20 && Arg_2<=Arg_0 && 0<=Arg_2 && 10<=Arg_1+Arg_2 && Arg_1<=10+Arg_2 && 0<=Arg_0+Arg_2 && Arg_1<=10 && Arg_1<=10+Arg_0 && 10<=Arg_1 && 10<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_2+1<=Arg_1 of depth 1:

new bound:

11 {O(1)}

MPRF:

f8 [Arg_1+1-Arg_2 ]

All Bounds

Timebounds

Overall timebound:14 {O(1)}
0: f0->f8: 1 {O(1)}
1: f8->f8: 11 {O(1)}
2: f8->f6: 1 {O(1)}
3: f8->f6: 1 {O(1)}

Costbounds

Overall costbound: 14 {O(1)}
0: f0->f8: 1 {O(1)}
1: f8->f8: 11 {O(1)}
2: f8->f6: 1 {O(1)}
3: f8->f6: 1 {O(1)}

Sizebounds

0: f0->f8, Arg_0: 0 {O(1)}
0: f0->f8, Arg_1: 10 {O(1)}
0: f0->f8, Arg_2: 0 {O(1)}
1: f8->f8, Arg_0: 22 {O(1)}
1: f8->f8, Arg_1: 10 {O(1)}
1: f8->f8, Arg_2: 10 {O(1)}
2: f8->f6, Arg_0: 19 {O(1)}
2: f8->f6, Arg_1: 10 {O(1)}
2: f8->f6, Arg_2: 10 {O(1)}
3: f8->f6, Arg_0: 22 {O(1)}
3: f8->f6, Arg_1: 10 {O(1)}
3: f8->f6, Arg_2: 10 {O(1)}