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, f37, f45, f48, f59, f65, f69
Transitions:
0:f0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f37(5,9,0,0,Arg_4,Arg_5,Arg_6)
1:f37(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f37(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:f37(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f37(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:f37(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f37(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:f37(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f45(Arg_0,Arg_1,Arg_2,0,Arg_4,Arg_5,Arg_6):|:Arg_0<=Arg_3
4:f45(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f48(Arg_0,Arg_1,Arg_2,Arg_3,0,Arg_5,Arg_6):|:Arg_3+1<=Arg_0
12:f45(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f59(Arg_0,Arg_1,Arg_2,0,Arg_4,Arg_5,Arg_6):|:Arg_0<=Arg_3
11:f48(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f45(Arg_0,Arg_1,Arg_2,Arg_3+1,Arg_4,Arg_5,Arg_6):|:Arg_1<=Arg_4
5:f48(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f48(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4+1,H,I):|:Arg_4+1<=Arg_1
7:f59(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f59(Arg_0,Arg_1,Arg_2,Arg_3+1,Arg_4,H,I):|:Arg_3+1<=Arg_1
6:f59(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f65(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,H,I):|:Arg_3+1<=Arg_1
10:f59(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f69(Arg_0,Arg_1,Arg_2,0,Arg_4,Arg_5,Arg_6):|:Arg_1<=Arg_3
9:f69(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f65(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_0<=Arg_3
8:f69(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f69(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: f37->f37

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

Found invariant 0<=Arg_4 && 0<=Arg_3+Arg_4 && Arg_3<=4+Arg_4 && 0<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 9<=Arg_1+Arg_4 && Arg_1<=9+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 && 5+Arg_3<=Arg_1 && Arg_1+Arg_3<=13 && 1+Arg_3<=Arg_0 && Arg_0+Arg_3<=9 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 9<=Arg_1+Arg_3 && Arg_1<=9+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 9+Arg_2<=Arg_1 && Arg_1+Arg_2<=9 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 9<=Arg_1+Arg_2 && Arg_1<=9+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=9 && Arg_1<=4+Arg_0 && Arg_0+Arg_1<=14 && 9<=Arg_1 && 14<=Arg_0+Arg_1 && 4+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 for location f48

Found invariant Arg_3<=8 && Arg_3<=8+Arg_2 && Arg_2+Arg_3<=8 && 1+Arg_3<=Arg_1 && Arg_1+Arg_3<=17 && Arg_3<=3+Arg_0 && Arg_0+Arg_3<=13 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 9<=Arg_1+Arg_3 && Arg_1<=9+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 9+Arg_2<=Arg_1 && Arg_1+Arg_2<=9 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 9<=Arg_1+Arg_2 && Arg_1<=9+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=9 && Arg_1<=4+Arg_0 && Arg_0+Arg_1<=14 && 9<=Arg_1 && 14<=Arg_0+Arg_1 && 4+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 for location f65

Found invariant Arg_3<=5 && Arg_3<=5+Arg_2 && Arg_2+Arg_3<=5 && 4+Arg_3<=Arg_1 && Arg_1+Arg_3<=14 && Arg_3<=Arg_0 && Arg_0+Arg_3<=10 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 9<=Arg_1+Arg_3 && Arg_1<=9+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 9+Arg_2<=Arg_1 && Arg_1+Arg_2<=9 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 9<=Arg_1+Arg_2 && Arg_1<=9+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=9 && Arg_1<=4+Arg_0 && Arg_0+Arg_1<=14 && 9<=Arg_1 && 14<=Arg_0+Arg_1 && 4+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 for location f45

Found invariant Arg_3<=5 && Arg_3<=5+Arg_2 && Arg_2+Arg_3<=5 && 4+Arg_3<=Arg_1 && Arg_1+Arg_3<=14 && Arg_3<=Arg_0 && Arg_0+Arg_3<=10 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 9<=Arg_1+Arg_3 && Arg_1<=9+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 9+Arg_2<=Arg_1 && Arg_1+Arg_2<=9 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 9<=Arg_1+Arg_2 && Arg_1<=9+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=9 && Arg_1<=4+Arg_0 && Arg_0+Arg_1<=14 && 9<=Arg_1 && 14<=Arg_0+Arg_1 && 4+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 for location f37

Found invariant 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 9<=Arg_1+Arg_3 && Arg_1<=9+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 9+Arg_2<=Arg_1 && Arg_1+Arg_2<=9 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 9<=Arg_1+Arg_2 && Arg_1<=9+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=9 && Arg_1<=4+Arg_0 && Arg_0+Arg_1<=14 && 9<=Arg_1 && 14<=Arg_0+Arg_1 && 4+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 for location f59

Found invariant Arg_3<=5 && Arg_3<=5+Arg_2 && Arg_2+Arg_3<=5 && 4+Arg_3<=Arg_1 && Arg_1+Arg_3<=14 && Arg_3<=Arg_0 && Arg_0+Arg_3<=10 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 9<=Arg_1+Arg_3 && Arg_1<=9+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 9+Arg_2<=Arg_1 && Arg_1+Arg_2<=9 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 9<=Arg_1+Arg_2 && Arg_1<=9+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=9 && Arg_1<=4+Arg_0 && Arg_0+Arg_1<=14 && 9<=Arg_1 && 14<=Arg_0+Arg_1 && 4+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 for location f69

Problem after Preprocessing

Start: f0
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4
Temp_Vars:
Locations: f0, f37, f45, f48, f59, f65, f69
Transitions:
37:f0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f37(5,9,0,0,Arg_4)
38:f37(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f37(Arg_0,Arg_1,Arg_2,Arg_2+1,Arg_4):|:Arg_3<=5 && Arg_3<=5+Arg_2 && Arg_2+Arg_3<=5 && 4+Arg_3<=Arg_1 && Arg_1+Arg_3<=14 && Arg_3<=Arg_0 && Arg_0+Arg_3<=10 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 9<=Arg_1+Arg_3 && Arg_1<=9+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 9+Arg_2<=Arg_1 && Arg_1+Arg_2<=9 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 9<=Arg_1+Arg_2 && Arg_1<=9+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=9 && Arg_1<=4+Arg_0 && Arg_0+Arg_1<=14 && 9<=Arg_1 && 14<=Arg_0+Arg_1 && 4+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_3+1<=Arg_0 && Arg_2<=Arg_3 && Arg_3<=Arg_2
39:f37(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f37(Arg_0,Arg_1,Arg_2,Arg_3+1,Arg_4):|:Arg_3<=5 && Arg_3<=5+Arg_2 && Arg_2+Arg_3<=5 && 4+Arg_3<=Arg_1 && Arg_1+Arg_3<=14 && Arg_3<=Arg_0 && Arg_0+Arg_3<=10 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 9<=Arg_1+Arg_3 && Arg_1<=9+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 9+Arg_2<=Arg_1 && Arg_1+Arg_2<=9 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 9<=Arg_1+Arg_2 && Arg_1<=9+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=9 && Arg_1<=4+Arg_0 && Arg_0+Arg_1<=14 && 9<=Arg_1 && 14<=Arg_0+Arg_1 && 4+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_3+1<=Arg_0 && 1+Arg_2<=Arg_3
40:f37(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f45(Arg_0,Arg_1,Arg_2,0,Arg_4):|:Arg_3<=5 && Arg_3<=5+Arg_2 && Arg_2+Arg_3<=5 && 4+Arg_3<=Arg_1 && Arg_1+Arg_3<=14 && Arg_3<=Arg_0 && Arg_0+Arg_3<=10 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 9<=Arg_1+Arg_3 && Arg_1<=9+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 9+Arg_2<=Arg_1 && Arg_1+Arg_2<=9 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 9<=Arg_1+Arg_2 && Arg_1<=9+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=9 && Arg_1<=4+Arg_0 && Arg_0+Arg_1<=14 && 9<=Arg_1 && 14<=Arg_0+Arg_1 && 4+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_0<=Arg_3
41:f45(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f48(Arg_0,Arg_1,Arg_2,Arg_3,0):|:Arg_3<=5 && Arg_3<=5+Arg_2 && Arg_2+Arg_3<=5 && 4+Arg_3<=Arg_1 && Arg_1+Arg_3<=14 && Arg_3<=Arg_0 && Arg_0+Arg_3<=10 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 9<=Arg_1+Arg_3 && Arg_1<=9+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 9+Arg_2<=Arg_1 && Arg_1+Arg_2<=9 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 9<=Arg_1+Arg_2 && Arg_1<=9+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=9 && Arg_1<=4+Arg_0 && Arg_0+Arg_1<=14 && 9<=Arg_1 && 14<=Arg_0+Arg_1 && 4+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_3+1<=Arg_0
42:f45(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f59(Arg_0,Arg_1,Arg_2,0,Arg_4):|:Arg_3<=5 && Arg_3<=5+Arg_2 && Arg_2+Arg_3<=5 && 4+Arg_3<=Arg_1 && Arg_1+Arg_3<=14 && Arg_3<=Arg_0 && Arg_0+Arg_3<=10 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 9<=Arg_1+Arg_3 && Arg_1<=9+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 9+Arg_2<=Arg_1 && Arg_1+Arg_2<=9 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 9<=Arg_1+Arg_2 && Arg_1<=9+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=9 && Arg_1<=4+Arg_0 && Arg_0+Arg_1<=14 && 9<=Arg_1 && 14<=Arg_0+Arg_1 && 4+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_0<=Arg_3
44:f48(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f45(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 && 9<=Arg_1+Arg_4 && Arg_1<=9+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 && 5+Arg_3<=Arg_1 && Arg_1+Arg_3<=13 && 1+Arg_3<=Arg_0 && Arg_0+Arg_3<=9 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 9<=Arg_1+Arg_3 && Arg_1<=9+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 9+Arg_2<=Arg_1 && Arg_1+Arg_2<=9 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 9<=Arg_1+Arg_2 && Arg_1<=9+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=9 && Arg_1<=4+Arg_0 && Arg_0+Arg_1<=14 && 9<=Arg_1 && 14<=Arg_0+Arg_1 && 4+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_1<=Arg_4
43:f48(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f48(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 && 9<=Arg_1+Arg_4 && Arg_1<=9+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 && 5+Arg_3<=Arg_1 && Arg_1+Arg_3<=13 && 1+Arg_3<=Arg_0 && Arg_0+Arg_3<=9 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 9<=Arg_1+Arg_3 && Arg_1<=9+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 9+Arg_2<=Arg_1 && Arg_1+Arg_2<=9 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 9<=Arg_1+Arg_2 && Arg_1<=9+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=9 && Arg_1<=4+Arg_0 && Arg_0+Arg_1<=14 && 9<=Arg_1 && 14<=Arg_0+Arg_1 && 4+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_4+1<=Arg_1
46:f59(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f59(Arg_0,Arg_1,Arg_2,Arg_3+1,Arg_4):|:0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 9<=Arg_1+Arg_3 && Arg_1<=9+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 9+Arg_2<=Arg_1 && Arg_1+Arg_2<=9 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 9<=Arg_1+Arg_2 && Arg_1<=9+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=9 && Arg_1<=4+Arg_0 && Arg_0+Arg_1<=14 && 9<=Arg_1 && 14<=Arg_0+Arg_1 && 4+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_3+1<=Arg_1
45:f59(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f65(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 9<=Arg_1+Arg_3 && Arg_1<=9+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 9+Arg_2<=Arg_1 && Arg_1+Arg_2<=9 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 9<=Arg_1+Arg_2 && Arg_1<=9+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=9 && Arg_1<=4+Arg_0 && Arg_0+Arg_1<=14 && 9<=Arg_1 && 14<=Arg_0+Arg_1 && 4+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_3+1<=Arg_1
47:f59(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f69(Arg_0,Arg_1,Arg_2,0,Arg_4):|:0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 9<=Arg_1+Arg_3 && Arg_1<=9+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 9+Arg_2<=Arg_1 && Arg_1+Arg_2<=9 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 9<=Arg_1+Arg_2 && Arg_1<=9+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=9 && Arg_1<=4+Arg_0 && Arg_0+Arg_1<=14 && 9<=Arg_1 && 14<=Arg_0+Arg_1 && 4+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_1<=Arg_3
49:f69(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f65(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_3<=5 && Arg_3<=5+Arg_2 && Arg_2+Arg_3<=5 && 4+Arg_3<=Arg_1 && Arg_1+Arg_3<=14 && Arg_3<=Arg_0 && Arg_0+Arg_3<=10 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 9<=Arg_1+Arg_3 && Arg_1<=9+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 9+Arg_2<=Arg_1 && Arg_1+Arg_2<=9 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 9<=Arg_1+Arg_2 && Arg_1<=9+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=9 && Arg_1<=4+Arg_0 && Arg_0+Arg_1<=14 && 9<=Arg_1 && 14<=Arg_0+Arg_1 && 4+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_0<=Arg_3
48:f69(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f69(Arg_0,Arg_1,Arg_2,Arg_3+1,Arg_4):|:Arg_3<=5 && Arg_3<=5+Arg_2 && Arg_2+Arg_3<=5 && 4+Arg_3<=Arg_1 && Arg_1+Arg_3<=14 && Arg_3<=Arg_0 && Arg_0+Arg_3<=10 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 9<=Arg_1+Arg_3 && Arg_1<=9+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 9+Arg_2<=Arg_1 && Arg_1+Arg_2<=9 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 9<=Arg_1+Arg_2 && Arg_1<=9+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=9 && Arg_1<=4+Arg_0 && Arg_0+Arg_1<=14 && 9<=Arg_1 && 14<=Arg_0+Arg_1 && 4+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:f37(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f37(Arg_0,Arg_1,Arg_2,Arg_2+1,Arg_4):|:Arg_3<=5 && Arg_3<=5+Arg_2 && Arg_2+Arg_3<=5 && 4+Arg_3<=Arg_1 && Arg_1+Arg_3<=14 && Arg_3<=Arg_0 && Arg_0+Arg_3<=10 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 9<=Arg_1+Arg_3 && Arg_1<=9+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 9+Arg_2<=Arg_1 && Arg_1+Arg_2<=9 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 9<=Arg_1+Arg_2 && Arg_1<=9+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=9 && Arg_1<=4+Arg_0 && Arg_0+Arg_1<=14 && 9<=Arg_1 && 14<=Arg_0+Arg_1 && 4+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:f37(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f37(Arg_0,Arg_1,Arg_2,Arg_3+1,Arg_4):|:Arg_3<=5 && Arg_3<=5+Arg_2 && Arg_2+Arg_3<=5 && 4+Arg_3<=Arg_1 && Arg_1+Arg_3<=14 && Arg_3<=Arg_0 && Arg_0+Arg_3<=10 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 9<=Arg_1+Arg_3 && Arg_1<=9+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 9+Arg_2<=Arg_1 && Arg_1+Arg_2<=9 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 9<=Arg_1+Arg_2 && Arg_1<=9+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=9 && Arg_1<=4+Arg_0 && Arg_0+Arg_1<=14 && 9<=Arg_1 && 14<=Arg_0+Arg_1 && 4+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:

f37 [4*Arg_0+1-4*Arg_3 ]

MPRF for transition 41:f45(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f48(Arg_0,Arg_1,Arg_2,Arg_3,0):|:Arg_3<=5 && Arg_3<=5+Arg_2 && Arg_2+Arg_3<=5 && 4+Arg_3<=Arg_1 && Arg_1+Arg_3<=14 && Arg_3<=Arg_0 && Arg_0+Arg_3<=10 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 9<=Arg_1+Arg_3 && Arg_1<=9+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 9+Arg_2<=Arg_1 && Arg_1+Arg_2<=9 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 9<=Arg_1+Arg_2 && Arg_1<=9+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=9 && Arg_1<=4+Arg_0 && Arg_0+Arg_1<=14 && 9<=Arg_1 && 14<=Arg_0+Arg_1 && 4+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_3+1<=Arg_0 of depth 1:

new bound:

6 {O(1)}

MPRF:

f48 [5-Arg_3 ]
f45 [6-Arg_3 ]

MPRF for transition 44:f48(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f45(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 && 9<=Arg_1+Arg_4 && Arg_1<=9+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 && 5+Arg_3<=Arg_1 && Arg_1+Arg_3<=13 && 1+Arg_3<=Arg_0 && Arg_0+Arg_3<=9 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 9<=Arg_1+Arg_3 && Arg_1<=9+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 9+Arg_2<=Arg_1 && Arg_1+Arg_2<=9 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 9<=Arg_1+Arg_2 && Arg_1<=9+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=9 && Arg_1<=4+Arg_0 && Arg_0+Arg_1<=14 && 9<=Arg_1 && 14<=Arg_0+Arg_1 && 4+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_1<=Arg_4 of depth 1:

new bound:

13 {O(1)}

MPRF:

f48 [5-Arg_3 ]
f45 [Arg_1-Arg_3-4 ]

MPRF for transition 43:f48(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f48(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 && 9<=Arg_1+Arg_4 && Arg_1<=9+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 && 5+Arg_3<=Arg_1 && Arg_1+Arg_3<=13 && 1+Arg_3<=Arg_0 && Arg_0+Arg_3<=9 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 9<=Arg_1+Arg_3 && Arg_1<=9+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 9+Arg_2<=Arg_1 && Arg_1+Arg_2<=9 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 9<=Arg_1+Arg_2 && Arg_1<=9+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=9 && Arg_1<=4+Arg_0 && Arg_0+Arg_1<=14 && 9<=Arg_1 && 14<=Arg_0+Arg_1 && 4+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_4+1<=Arg_1 of depth 1:

new bound:

126 {O(1)}

MPRF:

f45 [Arg_1 ]
f48 [Arg_1-Arg_4 ]

MPRF for transition 46:f59(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f59(Arg_0,Arg_1,Arg_2,Arg_3+1,Arg_4):|:0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 9<=Arg_1+Arg_3 && Arg_1<=9+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 9+Arg_2<=Arg_1 && Arg_1+Arg_2<=9 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 9<=Arg_1+Arg_2 && Arg_1<=9+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=9 && Arg_1<=4+Arg_0 && Arg_0+Arg_1<=14 && 9<=Arg_1 && 14<=Arg_0+Arg_1 && 4+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_3+1<=Arg_1 of depth 1:

new bound:

9 {O(1)}

MPRF:

f59 [Arg_1-Arg_3 ]

MPRF for transition 48:f69(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f69(Arg_0,Arg_1,Arg_2,Arg_3+1,Arg_4):|:Arg_3<=5 && Arg_3<=5+Arg_2 && Arg_2+Arg_3<=5 && 4+Arg_3<=Arg_1 && Arg_1+Arg_3<=14 && Arg_3<=Arg_0 && Arg_0+Arg_3<=10 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 9<=Arg_1+Arg_3 && Arg_1<=9+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 9+Arg_2<=Arg_1 && Arg_1+Arg_2<=9 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 9<=Arg_1+Arg_2 && Arg_1<=9+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=9 && Arg_1<=4+Arg_0 && Arg_0+Arg_1<=14 && 9<=Arg_1 && 14<=Arg_0+Arg_1 && 4+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_3+1<=Arg_0 of depth 1:

new bound:

6 {O(1)}

MPRF:

f69 [Arg_0+1-Arg_3 ]

All Bounds

Timebounds

Overall timebound:188 {O(1)}
37: f0->f37: 1 {O(1)}
38: f37->f37: 1 {O(1)}
39: f37->f37: 21 {O(1)}
40: f37->f45: 1 {O(1)}
41: f45->f48: 6 {O(1)}
42: f45->f59: 1 {O(1)}
43: f48->f48: 126 {O(1)}
44: f48->f45: 13 {O(1)}
45: f59->f65: 1 {O(1)}
46: f59->f59: 9 {O(1)}
47: f59->f69: 1 {O(1)}
48: f69->f69: 6 {O(1)}
49: f69->f65: 1 {O(1)}

Costbounds

Overall costbound: 188 {O(1)}
37: f0->f37: 1 {O(1)}
38: f37->f37: 1 {O(1)}
39: f37->f37: 21 {O(1)}
40: f37->f45: 1 {O(1)}
41: f45->f48: 6 {O(1)}
42: f45->f59: 1 {O(1)}
43: f48->f48: 126 {O(1)}
44: f48->f45: 13 {O(1)}
45: f59->f65: 1 {O(1)}
46: f59->f59: 9 {O(1)}
47: f59->f69: 1 {O(1)}
48: f69->f69: 6 {O(1)}
49: f69->f65: 1 {O(1)}

Sizebounds

37: f0->f37, Arg_0: 5 {O(1)}
37: f0->f37, Arg_1: 9 {O(1)}
37: f0->f37, Arg_2: 0 {O(1)}
37: f0->f37, Arg_3: 0 {O(1)}
37: f0->f37, Arg_4: Arg_4 {O(n)}
38: f37->f37, Arg_0: 5 {O(1)}
38: f37->f37, Arg_1: 9 {O(1)}
38: f37->f37, Arg_2: 0 {O(1)}
38: f37->f37, Arg_3: 1 {O(1)}
38: f37->f37, Arg_4: Arg_4 {O(n)}
39: f37->f37, Arg_0: 5 {O(1)}
39: f37->f37, Arg_1: 9 {O(1)}
39: f37->f37, Arg_2: 0 {O(1)}
39: f37->f37, Arg_3: 5 {O(1)}
39: f37->f37, Arg_4: Arg_4 {O(n)}
40: f37->f45, Arg_0: 5 {O(1)}
40: f37->f45, Arg_1: 9 {O(1)}
40: f37->f45, Arg_2: 0 {O(1)}
40: f37->f45, Arg_3: 0 {O(1)}
40: f37->f45, Arg_4: Arg_4 {O(n)}
41: f45->f48, Arg_0: 5 {O(1)}
41: f45->f48, Arg_1: 9 {O(1)}
41: f45->f48, Arg_2: 0 {O(1)}
41: f45->f48, Arg_3: 4 {O(1)}
41: f45->f48, Arg_4: 0 {O(1)}
42: f45->f59, Arg_0: 5 {O(1)}
42: f45->f59, Arg_1: 9 {O(1)}
42: f45->f59, Arg_2: 0 {O(1)}
42: f45->f59, Arg_3: 0 {O(1)}
42: f45->f59, Arg_4: 9 {O(1)}
43: f48->f48, Arg_0: 5 {O(1)}
43: f48->f48, Arg_1: 9 {O(1)}
43: f48->f48, Arg_2: 0 {O(1)}
43: f48->f48, Arg_3: 4 {O(1)}
43: f48->f48, Arg_4: 9 {O(1)}
44: f48->f45, Arg_0: 5 {O(1)}
44: f48->f45, Arg_1: 9 {O(1)}
44: f48->f45, Arg_2: 0 {O(1)}
44: f48->f45, Arg_3: 5 {O(1)}
44: f48->f45, Arg_4: 9 {O(1)}
45: f59->f65, Arg_0: 5 {O(1)}
45: f59->f65, Arg_1: 9 {O(1)}
45: f59->f65, Arg_2: 0 {O(1)}
45: f59->f65, Arg_3: 8 {O(1)}
45: f59->f65, Arg_4: 18 {O(1)}
46: f59->f59, Arg_0: 5 {O(1)}
46: f59->f59, Arg_1: 9 {O(1)}
46: f59->f59, Arg_2: 0 {O(1)}
46: f59->f59, Arg_3: 9 {O(1)}
46: f59->f59, Arg_4: 9 {O(1)}
47: f59->f69, Arg_0: 5 {O(1)}
47: f59->f69, Arg_1: 9 {O(1)}
47: f59->f69, Arg_2: 0 {O(1)}
47: f59->f69, Arg_3: 0 {O(1)}
47: f59->f69, Arg_4: 9 {O(1)}
48: f69->f69, Arg_0: 5 {O(1)}
48: f69->f69, Arg_1: 9 {O(1)}
48: f69->f69, Arg_2: 0 {O(1)}
48: f69->f69, Arg_3: 5 {O(1)}
48: f69->f69, Arg_4: 9 {O(1)}
49: f69->f65, Arg_0: 5 {O(1)}
49: f69->f65, Arg_1: 9 {O(1)}
49: f69->f65, Arg_2: 0 {O(1)}
49: f69->f65, Arg_3: 5 {O(1)}
49: f69->f65, Arg_4: 9 {O(1)}