Initial Problem

Start: f0
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5, Arg_6
Temp_Vars: H, I
Locations: f0, f55, f63, f66, f77, f83, f87
Transitions:
0:f0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f55(5,15,0,0,Arg_4,Arg_5,Arg_6)
1:f55(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f55(Arg_0,Arg_1,Arg_2,Arg_2+1,Arg_4,Arg_5,Arg_6):|:Arg_3+1<=Arg_0 && Arg_2<=Arg_3 && Arg_3<=Arg_2
2:f55(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f55(Arg_0,Arg_1,Arg_2,Arg_3+1,Arg_4,Arg_5,Arg_6):|:Arg_3+1<=Arg_0 && Arg_3+1<=Arg_2
3:f55(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f55(Arg_0,Arg_1,Arg_2,Arg_3+1,Arg_4,Arg_5,Arg_6):|:Arg_3+1<=Arg_0 && 1+Arg_2<=Arg_3
13:f55(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f63(Arg_0,Arg_1,Arg_2,0,Arg_4,Arg_5,Arg_6):|:Arg_0<=Arg_3
4:f63(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f66(Arg_0,Arg_1,Arg_2,Arg_3,0,Arg_5,Arg_6):|:Arg_3+1<=Arg_0
12:f63(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f77(Arg_0,Arg_1,Arg_2,0,Arg_4,Arg_5,Arg_6):|:Arg_0<=Arg_3
11:f66(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f63(Arg_0,Arg_1,Arg_2,Arg_3+1,Arg_4,Arg_5,Arg_6):|:Arg_1<=Arg_4
5:f66(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f66(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4+1,H,I):|:Arg_4+1<=Arg_1
7:f77(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f77(Arg_0,Arg_1,Arg_2,Arg_3+1,Arg_4,H,I):|:Arg_3+1<=Arg_1
6:f77(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f83(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,H,I):|:Arg_3+1<=Arg_1
10:f77(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f87(Arg_0,Arg_1,Arg_2,0,Arg_4,Arg_5,Arg_6):|:Arg_1<=Arg_3
9:f87(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f83(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_0<=Arg_3
8:f87(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f87(Arg_0,Arg_1,Arg_2,Arg_3+1,Arg_4,Arg_5,Arg_6):|:Arg_3+1<=Arg_0

Preprocessing

Cut unsatisfiable transition 2: f55->f55

Eliminate variables {H,I,Arg_5,Arg_6} that do not contribute to the problem

Found invariant Arg_3<=5 && Arg_3<=5+Arg_2 && Arg_2+Arg_3<=5 && 10+Arg_3<=Arg_1 && Arg_1+Arg_3<=20 && Arg_3<=Arg_0 && Arg_0+Arg_3<=10 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 15<=Arg_1+Arg_3 && Arg_1<=15+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 15+Arg_2<=Arg_1 && Arg_1+Arg_2<=15 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 15<=Arg_1+Arg_2 && Arg_1<=15+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=15 && Arg_1<=10+Arg_0 && Arg_0+Arg_1<=20 && 15<=Arg_1 && 20<=Arg_0+Arg_1 && 10+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 for location f55

Found invariant 0<=Arg_4 && 0<=Arg_3+Arg_4 && Arg_3<=4+Arg_4 && 0<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 15<=Arg_1+Arg_4 && Arg_1<=15+Arg_4 && 5<=Arg_0+Arg_4 && Arg_0<=5+Arg_4 && Arg_3<=4 && Arg_3<=4+Arg_2 && Arg_2+Arg_3<=4 && 11+Arg_3<=Arg_1 && Arg_1+Arg_3<=19 && 1+Arg_3<=Arg_0 && Arg_0+Arg_3<=9 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 15<=Arg_1+Arg_3 && Arg_1<=15+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 15+Arg_2<=Arg_1 && Arg_1+Arg_2<=15 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 15<=Arg_1+Arg_2 && Arg_1<=15+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=15 && Arg_1<=10+Arg_0 && Arg_0+Arg_1<=20 && 15<=Arg_1 && 20<=Arg_0+Arg_1 && 10+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 for location f66

Found invariant 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 15<=Arg_1+Arg_3 && Arg_1<=15+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 15+Arg_2<=Arg_1 && Arg_1+Arg_2<=15 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 15<=Arg_1+Arg_2 && Arg_1<=15+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=15 && Arg_1<=10+Arg_0 && Arg_0+Arg_1<=20 && 15<=Arg_1 && 20<=Arg_0+Arg_1 && 10+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 for location f77

Found invariant Arg_3<=14 && Arg_3<=14+Arg_2 && Arg_2+Arg_3<=14 && 1+Arg_3<=Arg_1 && Arg_1+Arg_3<=29 && Arg_3<=9+Arg_0 && Arg_0+Arg_3<=19 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 15<=Arg_1+Arg_3 && Arg_1<=15+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 15+Arg_2<=Arg_1 && Arg_1+Arg_2<=15 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 15<=Arg_1+Arg_2 && Arg_1<=15+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=15 && Arg_1<=10+Arg_0 && Arg_0+Arg_1<=20 && 15<=Arg_1 && 20<=Arg_0+Arg_1 && 10+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 for location f83

Found invariant Arg_3<=5 && Arg_3<=5+Arg_2 && Arg_2+Arg_3<=5 && 10+Arg_3<=Arg_1 && Arg_1+Arg_3<=20 && Arg_3<=Arg_0 && Arg_0+Arg_3<=10 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 15<=Arg_1+Arg_3 && Arg_1<=15+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 15+Arg_2<=Arg_1 && Arg_1+Arg_2<=15 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 15<=Arg_1+Arg_2 && Arg_1<=15+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=15 && Arg_1<=10+Arg_0 && Arg_0+Arg_1<=20 && 15<=Arg_1 && 20<=Arg_0+Arg_1 && 10+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 for location f87

Found invariant Arg_3<=5 && Arg_3<=5+Arg_2 && Arg_2+Arg_3<=5 && 10+Arg_3<=Arg_1 && Arg_1+Arg_3<=20 && Arg_3<=Arg_0 && Arg_0+Arg_3<=10 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 15<=Arg_1+Arg_3 && Arg_1<=15+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 15+Arg_2<=Arg_1 && Arg_1+Arg_2<=15 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 15<=Arg_1+Arg_2 && Arg_1<=15+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=15 && Arg_1<=10+Arg_0 && Arg_0+Arg_1<=20 && 15<=Arg_1 && 20<=Arg_0+Arg_1 && 10+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 for location f63

Problem after Preprocessing

Start: f0
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4
Temp_Vars:
Locations: f0, f55, f63, f66, f77, f83, f87
Transitions:
37:f0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f55(5,15,0,0,Arg_4)
38:f55(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f55(Arg_0,Arg_1,Arg_2,Arg_2+1,Arg_4):|:Arg_3<=5 && Arg_3<=5+Arg_2 && Arg_2+Arg_3<=5 && 10+Arg_3<=Arg_1 && Arg_1+Arg_3<=20 && Arg_3<=Arg_0 && Arg_0+Arg_3<=10 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 15<=Arg_1+Arg_3 && Arg_1<=15+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 15+Arg_2<=Arg_1 && Arg_1+Arg_2<=15 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 15<=Arg_1+Arg_2 && Arg_1<=15+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=15 && Arg_1<=10+Arg_0 && Arg_0+Arg_1<=20 && 15<=Arg_1 && 20<=Arg_0+Arg_1 && 10+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_3+1<=Arg_0 && Arg_2<=Arg_3 && Arg_3<=Arg_2
39:f55(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f55(Arg_0,Arg_1,Arg_2,Arg_3+1,Arg_4):|:Arg_3<=5 && Arg_3<=5+Arg_2 && Arg_2+Arg_3<=5 && 10+Arg_3<=Arg_1 && Arg_1+Arg_3<=20 && Arg_3<=Arg_0 && Arg_0+Arg_3<=10 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 15<=Arg_1+Arg_3 && Arg_1<=15+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 15+Arg_2<=Arg_1 && Arg_1+Arg_2<=15 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 15<=Arg_1+Arg_2 && Arg_1<=15+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=15 && Arg_1<=10+Arg_0 && Arg_0+Arg_1<=20 && 15<=Arg_1 && 20<=Arg_0+Arg_1 && 10+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_3+1<=Arg_0 && 1+Arg_2<=Arg_3
40:f55(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f63(Arg_0,Arg_1,Arg_2,0,Arg_4):|:Arg_3<=5 && Arg_3<=5+Arg_2 && Arg_2+Arg_3<=5 && 10+Arg_3<=Arg_1 && Arg_1+Arg_3<=20 && Arg_3<=Arg_0 && Arg_0+Arg_3<=10 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 15<=Arg_1+Arg_3 && Arg_1<=15+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 15+Arg_2<=Arg_1 && Arg_1+Arg_2<=15 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 15<=Arg_1+Arg_2 && Arg_1<=15+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=15 && Arg_1<=10+Arg_0 && Arg_0+Arg_1<=20 && 15<=Arg_1 && 20<=Arg_0+Arg_1 && 10+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_0<=Arg_3
41:f63(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f66(Arg_0,Arg_1,Arg_2,Arg_3,0):|:Arg_3<=5 && Arg_3<=5+Arg_2 && Arg_2+Arg_3<=5 && 10+Arg_3<=Arg_1 && Arg_1+Arg_3<=20 && Arg_3<=Arg_0 && Arg_0+Arg_3<=10 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 15<=Arg_1+Arg_3 && Arg_1<=15+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 15+Arg_2<=Arg_1 && Arg_1+Arg_2<=15 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 15<=Arg_1+Arg_2 && Arg_1<=15+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=15 && Arg_1<=10+Arg_0 && Arg_0+Arg_1<=20 && 15<=Arg_1 && 20<=Arg_0+Arg_1 && 10+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_3+1<=Arg_0
42:f63(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f77(Arg_0,Arg_1,Arg_2,0,Arg_4):|:Arg_3<=5 && Arg_3<=5+Arg_2 && Arg_2+Arg_3<=5 && 10+Arg_3<=Arg_1 && Arg_1+Arg_3<=20 && Arg_3<=Arg_0 && Arg_0+Arg_3<=10 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 15<=Arg_1+Arg_3 && Arg_1<=15+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 15+Arg_2<=Arg_1 && Arg_1+Arg_2<=15 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 15<=Arg_1+Arg_2 && Arg_1<=15+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=15 && Arg_1<=10+Arg_0 && Arg_0+Arg_1<=20 && 15<=Arg_1 && 20<=Arg_0+Arg_1 && 10+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_0<=Arg_3
44:f66(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f63(Arg_0,Arg_1,Arg_2,Arg_3+1,Arg_4):|:0<=Arg_4 && 0<=Arg_3+Arg_4 && Arg_3<=4+Arg_4 && 0<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 15<=Arg_1+Arg_4 && Arg_1<=15+Arg_4 && 5<=Arg_0+Arg_4 && Arg_0<=5+Arg_4 && Arg_3<=4 && Arg_3<=4+Arg_2 && Arg_2+Arg_3<=4 && 11+Arg_3<=Arg_1 && Arg_1+Arg_3<=19 && 1+Arg_3<=Arg_0 && Arg_0+Arg_3<=9 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 15<=Arg_1+Arg_3 && Arg_1<=15+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 15+Arg_2<=Arg_1 && Arg_1+Arg_2<=15 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 15<=Arg_1+Arg_2 && Arg_1<=15+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=15 && Arg_1<=10+Arg_0 && Arg_0+Arg_1<=20 && 15<=Arg_1 && 20<=Arg_0+Arg_1 && 10+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_1<=Arg_4
43:f66(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f66(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4+1):|:0<=Arg_4 && 0<=Arg_3+Arg_4 && Arg_3<=4+Arg_4 && 0<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 15<=Arg_1+Arg_4 && Arg_1<=15+Arg_4 && 5<=Arg_0+Arg_4 && Arg_0<=5+Arg_4 && Arg_3<=4 && Arg_3<=4+Arg_2 && Arg_2+Arg_3<=4 && 11+Arg_3<=Arg_1 && Arg_1+Arg_3<=19 && 1+Arg_3<=Arg_0 && Arg_0+Arg_3<=9 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 15<=Arg_1+Arg_3 && Arg_1<=15+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 15+Arg_2<=Arg_1 && Arg_1+Arg_2<=15 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 15<=Arg_1+Arg_2 && Arg_1<=15+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=15 && Arg_1<=10+Arg_0 && Arg_0+Arg_1<=20 && 15<=Arg_1 && 20<=Arg_0+Arg_1 && 10+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_4+1<=Arg_1
46:f77(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f77(Arg_0,Arg_1,Arg_2,Arg_3+1,Arg_4):|:0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 15<=Arg_1+Arg_3 && Arg_1<=15+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 15+Arg_2<=Arg_1 && Arg_1+Arg_2<=15 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 15<=Arg_1+Arg_2 && Arg_1<=15+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=15 && Arg_1<=10+Arg_0 && Arg_0+Arg_1<=20 && 15<=Arg_1 && 20<=Arg_0+Arg_1 && 10+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_3+1<=Arg_1
45:f77(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f83(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 15<=Arg_1+Arg_3 && Arg_1<=15+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 15+Arg_2<=Arg_1 && Arg_1+Arg_2<=15 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 15<=Arg_1+Arg_2 && Arg_1<=15+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=15 && Arg_1<=10+Arg_0 && Arg_0+Arg_1<=20 && 15<=Arg_1 && 20<=Arg_0+Arg_1 && 10+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_3+1<=Arg_1
47:f77(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f87(Arg_0,Arg_1,Arg_2,0,Arg_4):|:0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 15<=Arg_1+Arg_3 && Arg_1<=15+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 15+Arg_2<=Arg_1 && Arg_1+Arg_2<=15 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 15<=Arg_1+Arg_2 && Arg_1<=15+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=15 && Arg_1<=10+Arg_0 && Arg_0+Arg_1<=20 && 15<=Arg_1 && 20<=Arg_0+Arg_1 && 10+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_1<=Arg_3
49:f87(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f83(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_3<=5 && Arg_3<=5+Arg_2 && Arg_2+Arg_3<=5 && 10+Arg_3<=Arg_1 && Arg_1+Arg_3<=20 && Arg_3<=Arg_0 && Arg_0+Arg_3<=10 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 15<=Arg_1+Arg_3 && Arg_1<=15+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 15+Arg_2<=Arg_1 && Arg_1+Arg_2<=15 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 15<=Arg_1+Arg_2 && Arg_1<=15+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=15 && Arg_1<=10+Arg_0 && Arg_0+Arg_1<=20 && 15<=Arg_1 && 20<=Arg_0+Arg_1 && 10+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_0<=Arg_3
48:f87(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f87(Arg_0,Arg_1,Arg_2,Arg_3+1,Arg_4):|:Arg_3<=5 && Arg_3<=5+Arg_2 && Arg_2+Arg_3<=5 && 10+Arg_3<=Arg_1 && Arg_1+Arg_3<=20 && Arg_3<=Arg_0 && Arg_0+Arg_3<=10 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 15<=Arg_1+Arg_3 && Arg_1<=15+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 15+Arg_2<=Arg_1 && Arg_1+Arg_2<=15 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 15<=Arg_1+Arg_2 && Arg_1<=15+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=15 && Arg_1<=10+Arg_0 && Arg_0+Arg_1<=20 && 15<=Arg_1 && 20<=Arg_0+Arg_1 && 10+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_3+1<=Arg_0

knowledge_propagation leads to new time bound 1 {O(1)} for transition 38:f55(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f55(Arg_0,Arg_1,Arg_2,Arg_2+1,Arg_4):|:Arg_3<=5 && Arg_3<=5+Arg_2 && Arg_2+Arg_3<=5 && 10+Arg_3<=Arg_1 && Arg_1+Arg_3<=20 && Arg_3<=Arg_0 && Arg_0+Arg_3<=10 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 15<=Arg_1+Arg_3 && Arg_1<=15+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 15+Arg_2<=Arg_1 && Arg_1+Arg_2<=15 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 15<=Arg_1+Arg_2 && Arg_1<=15+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=15 && Arg_1<=10+Arg_0 && Arg_0+Arg_1<=20 && 15<=Arg_1 && 20<=Arg_0+Arg_1 && 10+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_3+1<=Arg_0 && Arg_2<=Arg_3 && Arg_3<=Arg_2

MPRF for transition 39:f55(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f55(Arg_0,Arg_1,Arg_2,Arg_3+1,Arg_4):|:Arg_3<=5 && Arg_3<=5+Arg_2 && Arg_2+Arg_3<=5 && 10+Arg_3<=Arg_1 && Arg_1+Arg_3<=20 && Arg_3<=Arg_0 && Arg_0+Arg_3<=10 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 15<=Arg_1+Arg_3 && Arg_1<=15+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 15+Arg_2<=Arg_1 && Arg_1+Arg_2<=15 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 15<=Arg_1+Arg_2 && Arg_1<=15+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=15 && Arg_1<=10+Arg_0 && Arg_0+Arg_1<=20 && 15<=Arg_1 && 20<=Arg_0+Arg_1 && 10+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_3+1<=Arg_0 && 1+Arg_2<=Arg_3 of depth 1:

new bound:

21 {O(1)}

MPRF:

f55 [4*Arg_0+1-4*Arg_3 ]

MPRF for transition 41:f63(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f66(Arg_0,Arg_1,Arg_2,Arg_3,0):|:Arg_3<=5 && Arg_3<=5+Arg_2 && Arg_2+Arg_3<=5 && 10+Arg_3<=Arg_1 && Arg_1+Arg_3<=20 && Arg_3<=Arg_0 && Arg_0+Arg_3<=10 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 15<=Arg_1+Arg_3 && Arg_1<=15+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 15+Arg_2<=Arg_1 && Arg_1+Arg_2<=15 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 15<=Arg_1+Arg_2 && Arg_1<=15+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=15 && Arg_1<=10+Arg_0 && Arg_0+Arg_1<=20 && 15<=Arg_1 && 20<=Arg_0+Arg_1 && 10+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_3+1<=Arg_0 of depth 1:

new bound:

6 {O(1)}

MPRF:

f66 [5-Arg_3 ]
f63 [6-Arg_3 ]

MPRF for transition 44:f66(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f63(Arg_0,Arg_1,Arg_2,Arg_3+1,Arg_4):|:0<=Arg_4 && 0<=Arg_3+Arg_4 && Arg_3<=4+Arg_4 && 0<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 15<=Arg_1+Arg_4 && Arg_1<=15+Arg_4 && 5<=Arg_0+Arg_4 && Arg_0<=5+Arg_4 && Arg_3<=4 && Arg_3<=4+Arg_2 && Arg_2+Arg_3<=4 && 11+Arg_3<=Arg_1 && Arg_1+Arg_3<=19 && 1+Arg_3<=Arg_0 && Arg_0+Arg_3<=9 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 15<=Arg_1+Arg_3 && Arg_1<=15+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 15+Arg_2<=Arg_1 && Arg_1+Arg_2<=15 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 15<=Arg_1+Arg_2 && Arg_1<=15+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=15 && Arg_1<=10+Arg_0 && Arg_0+Arg_1<=20 && 15<=Arg_1 && 20<=Arg_0+Arg_1 && 10+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_1<=Arg_4 of depth 1:

new bound:

25 {O(1)}

MPRF:

f66 [5-Arg_3 ]
f63 [Arg_1-Arg_3-10 ]

MPRF for transition 43:f66(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f66(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4+1):|:0<=Arg_4 && 0<=Arg_3+Arg_4 && Arg_3<=4+Arg_4 && 0<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 15<=Arg_1+Arg_4 && Arg_1<=15+Arg_4 && 5<=Arg_0+Arg_4 && Arg_0<=5+Arg_4 && Arg_3<=4 && Arg_3<=4+Arg_2 && Arg_2+Arg_3<=4 && 11+Arg_3<=Arg_1 && Arg_1+Arg_3<=19 && 1+Arg_3<=Arg_0 && Arg_0+Arg_3<=9 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 15<=Arg_1+Arg_3 && Arg_1<=15+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 15+Arg_2<=Arg_1 && Arg_1+Arg_2<=15 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 15<=Arg_1+Arg_2 && Arg_1<=15+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=15 && Arg_1<=10+Arg_0 && Arg_0+Arg_1<=20 && 15<=Arg_1 && 20<=Arg_0+Arg_1 && 10+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_4+1<=Arg_1 of depth 1:

new bound:

390 {O(1)}

MPRF:

f63 [Arg_1 ]
f66 [Arg_1-Arg_4 ]

MPRF for transition 46:f77(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f77(Arg_0,Arg_1,Arg_2,Arg_3+1,Arg_4):|:0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 15<=Arg_1+Arg_3 && Arg_1<=15+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 15+Arg_2<=Arg_1 && Arg_1+Arg_2<=15 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 15<=Arg_1+Arg_2 && Arg_1<=15+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=15 && Arg_1<=10+Arg_0 && Arg_0+Arg_1<=20 && 15<=Arg_1 && 20<=Arg_0+Arg_1 && 10+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_3+1<=Arg_1 of depth 1:

new bound:

15 {O(1)}

MPRF:

f77 [Arg_1-Arg_3 ]

MPRF for transition 48:f87(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f87(Arg_0,Arg_1,Arg_2,Arg_3+1,Arg_4):|:Arg_3<=5 && Arg_3<=5+Arg_2 && Arg_2+Arg_3<=5 && 10+Arg_3<=Arg_1 && Arg_1+Arg_3<=20 && Arg_3<=Arg_0 && Arg_0+Arg_3<=10 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 15<=Arg_1+Arg_3 && Arg_1<=15+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 15+Arg_2<=Arg_1 && Arg_1+Arg_2<=15 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 15<=Arg_1+Arg_2 && Arg_1<=15+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=15 && Arg_1<=10+Arg_0 && Arg_0+Arg_1<=20 && 15<=Arg_1 && 20<=Arg_0+Arg_1 && 10+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_3+1<=Arg_0 of depth 1:

new bound:

6 {O(1)}

MPRF:

f87 [Arg_0+1-Arg_3 ]

All Bounds

Timebounds

Overall timebound:470 {O(1)}
37: f0->f55: 1 {O(1)}
38: f55->f55: 1 {O(1)}
39: f55->f55: 21 {O(1)}
40: f55->f63: 1 {O(1)}
41: f63->f66: 6 {O(1)}
42: f63->f77: 1 {O(1)}
43: f66->f66: 390 {O(1)}
44: f66->f63: 25 {O(1)}
45: f77->f83: 1 {O(1)}
46: f77->f77: 15 {O(1)}
47: f77->f87: 1 {O(1)}
48: f87->f87: 6 {O(1)}
49: f87->f83: 1 {O(1)}

Costbounds

Overall costbound: 470 {O(1)}
37: f0->f55: 1 {O(1)}
38: f55->f55: 1 {O(1)}
39: f55->f55: 21 {O(1)}
40: f55->f63: 1 {O(1)}
41: f63->f66: 6 {O(1)}
42: f63->f77: 1 {O(1)}
43: f66->f66: 390 {O(1)}
44: f66->f63: 25 {O(1)}
45: f77->f83: 1 {O(1)}
46: f77->f77: 15 {O(1)}
47: f77->f87: 1 {O(1)}
48: f87->f87: 6 {O(1)}
49: f87->f83: 1 {O(1)}

Sizebounds

37: f0->f55, Arg_0: 5 {O(1)}
37: f0->f55, Arg_1: 15 {O(1)}
37: f0->f55, Arg_2: 0 {O(1)}
37: f0->f55, Arg_3: 0 {O(1)}
37: f0->f55, Arg_4: Arg_4 {O(n)}
38: f55->f55, Arg_0: 5 {O(1)}
38: f55->f55, Arg_1: 15 {O(1)}
38: f55->f55, Arg_2: 0 {O(1)}
38: f55->f55, Arg_3: 1 {O(1)}
38: f55->f55, Arg_4: Arg_4 {O(n)}
39: f55->f55, Arg_0: 5 {O(1)}
39: f55->f55, Arg_1: 15 {O(1)}
39: f55->f55, Arg_2: 0 {O(1)}
39: f55->f55, Arg_3: 5 {O(1)}
39: f55->f55, Arg_4: Arg_4 {O(n)}
40: f55->f63, Arg_0: 5 {O(1)}
40: f55->f63, Arg_1: 15 {O(1)}
40: f55->f63, Arg_2: 0 {O(1)}
40: f55->f63, Arg_3: 0 {O(1)}
40: f55->f63, Arg_4: Arg_4 {O(n)}
41: f63->f66, Arg_0: 5 {O(1)}
41: f63->f66, Arg_1: 15 {O(1)}
41: f63->f66, Arg_2: 0 {O(1)}
41: f63->f66, Arg_3: 4 {O(1)}
41: f63->f66, Arg_4: 0 {O(1)}
42: f63->f77, Arg_0: 5 {O(1)}
42: f63->f77, Arg_1: 15 {O(1)}
42: f63->f77, Arg_2: 0 {O(1)}
42: f63->f77, Arg_3: 0 {O(1)}
42: f63->f77, Arg_4: 15 {O(1)}
43: f66->f66, Arg_0: 5 {O(1)}
43: f66->f66, Arg_1: 15 {O(1)}
43: f66->f66, Arg_2: 0 {O(1)}
43: f66->f66, Arg_3: 4 {O(1)}
43: f66->f66, Arg_4: 15 {O(1)}
44: f66->f63, Arg_0: 5 {O(1)}
44: f66->f63, Arg_1: 15 {O(1)}
44: f66->f63, Arg_2: 0 {O(1)}
44: f66->f63, Arg_3: 5 {O(1)}
44: f66->f63, Arg_4: 15 {O(1)}
45: f77->f83, Arg_0: 5 {O(1)}
45: f77->f83, Arg_1: 15 {O(1)}
45: f77->f83, Arg_2: 0 {O(1)}
45: f77->f83, Arg_3: 14 {O(1)}
45: f77->f83, Arg_4: 30 {O(1)}
46: f77->f77, Arg_0: 5 {O(1)}
46: f77->f77, Arg_1: 15 {O(1)}
46: f77->f77, Arg_2: 0 {O(1)}
46: f77->f77, Arg_3: 15 {O(1)}
46: f77->f77, Arg_4: 15 {O(1)}
47: f77->f87, Arg_0: 5 {O(1)}
47: f77->f87, Arg_1: 15 {O(1)}
47: f77->f87, Arg_2: 0 {O(1)}
47: f77->f87, Arg_3: 0 {O(1)}
47: f77->f87, Arg_4: 15 {O(1)}
48: f87->f87, Arg_0: 5 {O(1)}
48: f87->f87, Arg_1: 15 {O(1)}
48: f87->f87, Arg_2: 0 {O(1)}
48: f87->f87, Arg_3: 5 {O(1)}
48: f87->f87, Arg_4: 15 {O(1)}
49: f87->f83, Arg_0: 5 {O(1)}
49: f87->f83, Arg_1: 15 {O(1)}
49: f87->f83, Arg_2: 0 {O(1)}
49: f87->f83, Arg_3: 5 {O(1)}
49: f87->f83, Arg_4: 15 {O(1)}