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, f43, f51, f54, f65, f71, f75
Transitions:
0:f0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f43(5,11,0,0,Arg_4,Arg_5,Arg_6)
1:f43(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f43(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:f43(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f43(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:f43(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f43(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:f43(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f51(Arg_0,Arg_1,Arg_2,0,Arg_4,Arg_5,Arg_6):|:Arg_0<=Arg_3
4:f51(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f54(Arg_0,Arg_1,Arg_2,Arg_3,0,Arg_5,Arg_6):|:Arg_3+1<=Arg_0
12:f51(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f65(Arg_0,Arg_1,Arg_2,0,Arg_4,Arg_5,Arg_6):|:Arg_0<=Arg_3
11:f54(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f51(Arg_0,Arg_1,Arg_2,Arg_3+1,Arg_4,Arg_5,Arg_6):|:Arg_1<=Arg_4
5:f54(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f54(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4+1,H,I):|:Arg_4+1<=Arg_1
7:f65(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f65(Arg_0,Arg_1,Arg_2,Arg_3+1,Arg_4,H,I):|:Arg_3+1<=Arg_1
6:f65(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f71(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,H,I):|:Arg_3+1<=Arg_1
10:f65(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f75(Arg_0,Arg_1,Arg_2,0,Arg_4,Arg_5,Arg_6):|:Arg_1<=Arg_3
9:f75(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f71(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_0<=Arg_3
8:f75(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f75(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: f43->f43

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 && 6+Arg_3<=Arg_1 && Arg_1+Arg_3<=16 && Arg_3<=Arg_0 && Arg_0+Arg_3<=10 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 11<=Arg_1+Arg_3 && Arg_1<=11+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 11+Arg_2<=Arg_1 && Arg_1+Arg_2<=11 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 11<=Arg_1+Arg_2 && Arg_1<=11+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=11 && Arg_1<=6+Arg_0 && Arg_0+Arg_1<=16 && 11<=Arg_1 && 16<=Arg_0+Arg_1 && 6+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 for location f51

Found invariant 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 11<=Arg_1+Arg_3 && Arg_1<=11+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 11+Arg_2<=Arg_1 && Arg_1+Arg_2<=11 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 11<=Arg_1+Arg_2 && Arg_1<=11+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=11 && Arg_1<=6+Arg_0 && Arg_0+Arg_1<=16 && 11<=Arg_1 && 16<=Arg_0+Arg_1 && 6+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 for location f65

Found invariant 0<=Arg_4 && 0<=Arg_3+Arg_4 && Arg_3<=4+Arg_4 && 0<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 11<=Arg_1+Arg_4 && Arg_1<=11+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 && 7+Arg_3<=Arg_1 && Arg_1+Arg_3<=15 && 1+Arg_3<=Arg_0 && Arg_0+Arg_3<=9 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 11<=Arg_1+Arg_3 && Arg_1<=11+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 11+Arg_2<=Arg_1 && Arg_1+Arg_2<=11 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 11<=Arg_1+Arg_2 && Arg_1<=11+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=11 && Arg_1<=6+Arg_0 && Arg_0+Arg_1<=16 && 11<=Arg_1 && 16<=Arg_0+Arg_1 && 6+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 for location f54

Found invariant Arg_3<=10 && Arg_3<=10+Arg_2 && Arg_2+Arg_3<=10 && 1+Arg_3<=Arg_1 && Arg_1+Arg_3<=21 && Arg_3<=5+Arg_0 && Arg_0+Arg_3<=15 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 11<=Arg_1+Arg_3 && Arg_1<=11+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 11+Arg_2<=Arg_1 && Arg_1+Arg_2<=11 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 11<=Arg_1+Arg_2 && Arg_1<=11+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=11 && Arg_1<=6+Arg_0 && Arg_0+Arg_1<=16 && 11<=Arg_1 && 16<=Arg_0+Arg_1 && 6+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 for location f71

Found invariant Arg_3<=5 && Arg_3<=5+Arg_2 && Arg_2+Arg_3<=5 && 6+Arg_3<=Arg_1 && Arg_1+Arg_3<=16 && Arg_3<=Arg_0 && Arg_0+Arg_3<=10 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 11<=Arg_1+Arg_3 && Arg_1<=11+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 11+Arg_2<=Arg_1 && Arg_1+Arg_2<=11 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 11<=Arg_1+Arg_2 && Arg_1<=11+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=11 && Arg_1<=6+Arg_0 && Arg_0+Arg_1<=16 && 11<=Arg_1 && 16<=Arg_0+Arg_1 && 6+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 for location f75

Found invariant Arg_3<=5 && Arg_3<=5+Arg_2 && Arg_2+Arg_3<=5 && 6+Arg_3<=Arg_1 && Arg_1+Arg_3<=16 && Arg_3<=Arg_0 && Arg_0+Arg_3<=10 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 11<=Arg_1+Arg_3 && Arg_1<=11+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 11+Arg_2<=Arg_1 && Arg_1+Arg_2<=11 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 11<=Arg_1+Arg_2 && Arg_1<=11+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=11 && Arg_1<=6+Arg_0 && Arg_0+Arg_1<=16 && 11<=Arg_1 && 16<=Arg_0+Arg_1 && 6+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 for location f43

Problem after Preprocessing

Start: f0
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4
Temp_Vars:
Locations: f0, f43, f51, f54, f65, f71, f75
Transitions:
37:f0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f43(5,11,0,0,Arg_4)
38:f43(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f43(Arg_0,Arg_1,Arg_2,Arg_2+1,Arg_4):|:Arg_3<=5 && Arg_3<=5+Arg_2 && Arg_2+Arg_3<=5 && 6+Arg_3<=Arg_1 && Arg_1+Arg_3<=16 && Arg_3<=Arg_0 && Arg_0+Arg_3<=10 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 11<=Arg_1+Arg_3 && Arg_1<=11+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 11+Arg_2<=Arg_1 && Arg_1+Arg_2<=11 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 11<=Arg_1+Arg_2 && Arg_1<=11+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=11 && Arg_1<=6+Arg_0 && Arg_0+Arg_1<=16 && 11<=Arg_1 && 16<=Arg_0+Arg_1 && 6+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_3+1<=Arg_0 && Arg_2<=Arg_3 && Arg_3<=Arg_2
39:f43(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f43(Arg_0,Arg_1,Arg_2,Arg_3+1,Arg_4):|:Arg_3<=5 && Arg_3<=5+Arg_2 && Arg_2+Arg_3<=5 && 6+Arg_3<=Arg_1 && Arg_1+Arg_3<=16 && Arg_3<=Arg_0 && Arg_0+Arg_3<=10 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 11<=Arg_1+Arg_3 && Arg_1<=11+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 11+Arg_2<=Arg_1 && Arg_1+Arg_2<=11 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 11<=Arg_1+Arg_2 && Arg_1<=11+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=11 && Arg_1<=6+Arg_0 && Arg_0+Arg_1<=16 && 11<=Arg_1 && 16<=Arg_0+Arg_1 && 6+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_3+1<=Arg_0 && 1+Arg_2<=Arg_3
40:f43(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f51(Arg_0,Arg_1,Arg_2,0,Arg_4):|:Arg_3<=5 && Arg_3<=5+Arg_2 && Arg_2+Arg_3<=5 && 6+Arg_3<=Arg_1 && Arg_1+Arg_3<=16 && Arg_3<=Arg_0 && Arg_0+Arg_3<=10 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 11<=Arg_1+Arg_3 && Arg_1<=11+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 11+Arg_2<=Arg_1 && Arg_1+Arg_2<=11 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 11<=Arg_1+Arg_2 && Arg_1<=11+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=11 && Arg_1<=6+Arg_0 && Arg_0+Arg_1<=16 && 11<=Arg_1 && 16<=Arg_0+Arg_1 && 6+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_0<=Arg_3
41:f51(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f54(Arg_0,Arg_1,Arg_2,Arg_3,0):|:Arg_3<=5 && Arg_3<=5+Arg_2 && Arg_2+Arg_3<=5 && 6+Arg_3<=Arg_1 && Arg_1+Arg_3<=16 && Arg_3<=Arg_0 && Arg_0+Arg_3<=10 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 11<=Arg_1+Arg_3 && Arg_1<=11+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 11+Arg_2<=Arg_1 && Arg_1+Arg_2<=11 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 11<=Arg_1+Arg_2 && Arg_1<=11+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=11 && Arg_1<=6+Arg_0 && Arg_0+Arg_1<=16 && 11<=Arg_1 && 16<=Arg_0+Arg_1 && 6+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_3+1<=Arg_0
42:f51(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f65(Arg_0,Arg_1,Arg_2,0,Arg_4):|:Arg_3<=5 && Arg_3<=5+Arg_2 && Arg_2+Arg_3<=5 && 6+Arg_3<=Arg_1 && Arg_1+Arg_3<=16 && Arg_3<=Arg_0 && Arg_0+Arg_3<=10 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 11<=Arg_1+Arg_3 && Arg_1<=11+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 11+Arg_2<=Arg_1 && Arg_1+Arg_2<=11 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 11<=Arg_1+Arg_2 && Arg_1<=11+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=11 && Arg_1<=6+Arg_0 && Arg_0+Arg_1<=16 && 11<=Arg_1 && 16<=Arg_0+Arg_1 && 6+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_0<=Arg_3
44:f54(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f51(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 && 11<=Arg_1+Arg_4 && Arg_1<=11+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 && 7+Arg_3<=Arg_1 && Arg_1+Arg_3<=15 && 1+Arg_3<=Arg_0 && Arg_0+Arg_3<=9 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 11<=Arg_1+Arg_3 && Arg_1<=11+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 11+Arg_2<=Arg_1 && Arg_1+Arg_2<=11 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 11<=Arg_1+Arg_2 && Arg_1<=11+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=11 && Arg_1<=6+Arg_0 && Arg_0+Arg_1<=16 && 11<=Arg_1 && 16<=Arg_0+Arg_1 && 6+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_1<=Arg_4
43:f54(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f54(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 && 11<=Arg_1+Arg_4 && Arg_1<=11+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 && 7+Arg_3<=Arg_1 && Arg_1+Arg_3<=15 && 1+Arg_3<=Arg_0 && Arg_0+Arg_3<=9 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 11<=Arg_1+Arg_3 && Arg_1<=11+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 11+Arg_2<=Arg_1 && Arg_1+Arg_2<=11 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 11<=Arg_1+Arg_2 && Arg_1<=11+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=11 && Arg_1<=6+Arg_0 && Arg_0+Arg_1<=16 && 11<=Arg_1 && 16<=Arg_0+Arg_1 && 6+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_4+1<=Arg_1
46:f65(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f65(Arg_0,Arg_1,Arg_2,Arg_3+1,Arg_4):|:0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 11<=Arg_1+Arg_3 && Arg_1<=11+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 11+Arg_2<=Arg_1 && Arg_1+Arg_2<=11 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 11<=Arg_1+Arg_2 && Arg_1<=11+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=11 && Arg_1<=6+Arg_0 && Arg_0+Arg_1<=16 && 11<=Arg_1 && 16<=Arg_0+Arg_1 && 6+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_3+1<=Arg_1
45:f65(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f71(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 11<=Arg_1+Arg_3 && Arg_1<=11+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 11+Arg_2<=Arg_1 && Arg_1+Arg_2<=11 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 11<=Arg_1+Arg_2 && Arg_1<=11+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=11 && Arg_1<=6+Arg_0 && Arg_0+Arg_1<=16 && 11<=Arg_1 && 16<=Arg_0+Arg_1 && 6+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_3+1<=Arg_1
47:f65(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f75(Arg_0,Arg_1,Arg_2,0,Arg_4):|:0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 11<=Arg_1+Arg_3 && Arg_1<=11+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 11+Arg_2<=Arg_1 && Arg_1+Arg_2<=11 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 11<=Arg_1+Arg_2 && Arg_1<=11+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=11 && Arg_1<=6+Arg_0 && Arg_0+Arg_1<=16 && 11<=Arg_1 && 16<=Arg_0+Arg_1 && 6+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_1<=Arg_3
49:f75(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f71(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_3<=5 && Arg_3<=5+Arg_2 && Arg_2+Arg_3<=5 && 6+Arg_3<=Arg_1 && Arg_1+Arg_3<=16 && Arg_3<=Arg_0 && Arg_0+Arg_3<=10 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 11<=Arg_1+Arg_3 && Arg_1<=11+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 11+Arg_2<=Arg_1 && Arg_1+Arg_2<=11 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 11<=Arg_1+Arg_2 && Arg_1<=11+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=11 && Arg_1<=6+Arg_0 && Arg_0+Arg_1<=16 && 11<=Arg_1 && 16<=Arg_0+Arg_1 && 6+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_0<=Arg_3
48:f75(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f75(Arg_0,Arg_1,Arg_2,Arg_3+1,Arg_4):|:Arg_3<=5 && Arg_3<=5+Arg_2 && Arg_2+Arg_3<=5 && 6+Arg_3<=Arg_1 && Arg_1+Arg_3<=16 && Arg_3<=Arg_0 && Arg_0+Arg_3<=10 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 11<=Arg_1+Arg_3 && Arg_1<=11+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 11+Arg_2<=Arg_1 && Arg_1+Arg_2<=11 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 11<=Arg_1+Arg_2 && Arg_1<=11+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=11 && Arg_1<=6+Arg_0 && Arg_0+Arg_1<=16 && 11<=Arg_1 && 16<=Arg_0+Arg_1 && 6+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:f43(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f43(Arg_0,Arg_1,Arg_2,Arg_2+1,Arg_4):|:Arg_3<=5 && Arg_3<=5+Arg_2 && Arg_2+Arg_3<=5 && 6+Arg_3<=Arg_1 && Arg_1+Arg_3<=16 && Arg_3<=Arg_0 && Arg_0+Arg_3<=10 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 11<=Arg_1+Arg_3 && Arg_1<=11+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 11+Arg_2<=Arg_1 && Arg_1+Arg_2<=11 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 11<=Arg_1+Arg_2 && Arg_1<=11+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=11 && Arg_1<=6+Arg_0 && Arg_0+Arg_1<=16 && 11<=Arg_1 && 16<=Arg_0+Arg_1 && 6+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:f43(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f43(Arg_0,Arg_1,Arg_2,Arg_3+1,Arg_4):|:Arg_3<=5 && Arg_3<=5+Arg_2 && Arg_2+Arg_3<=5 && 6+Arg_3<=Arg_1 && Arg_1+Arg_3<=16 && Arg_3<=Arg_0 && Arg_0+Arg_3<=10 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 11<=Arg_1+Arg_3 && Arg_1<=11+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 11+Arg_2<=Arg_1 && Arg_1+Arg_2<=11 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 11<=Arg_1+Arg_2 && Arg_1<=11+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=11 && Arg_1<=6+Arg_0 && Arg_0+Arg_1<=16 && 11<=Arg_1 && 16<=Arg_0+Arg_1 && 6+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:

f43 [4*Arg_0+1-4*Arg_3 ]

MPRF for transition 41:f51(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f54(Arg_0,Arg_1,Arg_2,Arg_3,0):|:Arg_3<=5 && Arg_3<=5+Arg_2 && Arg_2+Arg_3<=5 && 6+Arg_3<=Arg_1 && Arg_1+Arg_3<=16 && Arg_3<=Arg_0 && Arg_0+Arg_3<=10 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 11<=Arg_1+Arg_3 && Arg_1<=11+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 11+Arg_2<=Arg_1 && Arg_1+Arg_2<=11 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 11<=Arg_1+Arg_2 && Arg_1<=11+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=11 && Arg_1<=6+Arg_0 && Arg_0+Arg_1<=16 && 11<=Arg_1 && 16<=Arg_0+Arg_1 && 6+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_3+1<=Arg_0 of depth 1:

new bound:

6 {O(1)}

MPRF:

f54 [5-Arg_3 ]
f51 [6-Arg_3 ]

MPRF for transition 44:f54(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f51(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 && 11<=Arg_1+Arg_4 && Arg_1<=11+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 && 7+Arg_3<=Arg_1 && Arg_1+Arg_3<=15 && 1+Arg_3<=Arg_0 && Arg_0+Arg_3<=9 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 11<=Arg_1+Arg_3 && Arg_1<=11+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 11+Arg_2<=Arg_1 && Arg_1+Arg_2<=11 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 11<=Arg_1+Arg_2 && Arg_1<=11+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=11 && Arg_1<=6+Arg_0 && Arg_0+Arg_1<=16 && 11<=Arg_1 && 16<=Arg_0+Arg_1 && 6+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_1<=Arg_4 of depth 1:

new bound:

17 {O(1)}

MPRF:

f54 [5-Arg_3 ]
f51 [Arg_1-Arg_3-6 ]

MPRF for transition 43:f54(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f54(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 && 11<=Arg_1+Arg_4 && Arg_1<=11+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 && 7+Arg_3<=Arg_1 && Arg_1+Arg_3<=15 && 1+Arg_3<=Arg_0 && Arg_0+Arg_3<=9 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 11<=Arg_1+Arg_3 && Arg_1<=11+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 11+Arg_2<=Arg_1 && Arg_1+Arg_2<=11 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 11<=Arg_1+Arg_2 && Arg_1<=11+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=11 && Arg_1<=6+Arg_0 && Arg_0+Arg_1<=16 && 11<=Arg_1 && 16<=Arg_0+Arg_1 && 6+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_4+1<=Arg_1 of depth 1:

new bound:

198 {O(1)}

MPRF:

f51 [Arg_1 ]
f54 [Arg_1-Arg_4 ]

MPRF for transition 46:f65(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f65(Arg_0,Arg_1,Arg_2,Arg_3+1,Arg_4):|:0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 11<=Arg_1+Arg_3 && Arg_1<=11+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 11+Arg_2<=Arg_1 && Arg_1+Arg_2<=11 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 11<=Arg_1+Arg_2 && Arg_1<=11+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=11 && Arg_1<=6+Arg_0 && Arg_0+Arg_1<=16 && 11<=Arg_1 && 16<=Arg_0+Arg_1 && 6+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_3+1<=Arg_1 of depth 1:

new bound:

11 {O(1)}

MPRF:

f65 [Arg_1-Arg_3 ]

MPRF for transition 48:f75(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f75(Arg_0,Arg_1,Arg_2,Arg_3+1,Arg_4):|:Arg_3<=5 && Arg_3<=5+Arg_2 && Arg_2+Arg_3<=5 && 6+Arg_3<=Arg_1 && Arg_1+Arg_3<=16 && Arg_3<=Arg_0 && Arg_0+Arg_3<=10 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 11<=Arg_1+Arg_3 && Arg_1<=11+Arg_3 && 5<=Arg_0+Arg_3 && Arg_0<=5+Arg_3 && Arg_2<=0 && 11+Arg_2<=Arg_1 && Arg_1+Arg_2<=11 && 5+Arg_2<=Arg_0 && Arg_0+Arg_2<=5 && 0<=Arg_2 && 11<=Arg_1+Arg_2 && Arg_1<=11+Arg_2 && 5<=Arg_0+Arg_2 && Arg_0<=5+Arg_2 && Arg_1<=11 && Arg_1<=6+Arg_0 && Arg_0+Arg_1<=16 && 11<=Arg_1 && 16<=Arg_0+Arg_1 && 6+Arg_0<=Arg_1 && Arg_0<=5 && 5<=Arg_0 && Arg_3+1<=Arg_0 of depth 1:

new bound:

6 {O(1)}

MPRF:

f75 [Arg_0+1-Arg_3 ]

All Bounds

Timebounds

Overall timebound:266 {O(1)}
37: f0->f43: 1 {O(1)}
38: f43->f43: 1 {O(1)}
39: f43->f43: 21 {O(1)}
40: f43->f51: 1 {O(1)}
41: f51->f54: 6 {O(1)}
42: f51->f65: 1 {O(1)}
43: f54->f54: 198 {O(1)}
44: f54->f51: 17 {O(1)}
45: f65->f71: 1 {O(1)}
46: f65->f65: 11 {O(1)}
47: f65->f75: 1 {O(1)}
48: f75->f75: 6 {O(1)}
49: f75->f71: 1 {O(1)}

Costbounds

Overall costbound: 266 {O(1)}
37: f0->f43: 1 {O(1)}
38: f43->f43: 1 {O(1)}
39: f43->f43: 21 {O(1)}
40: f43->f51: 1 {O(1)}
41: f51->f54: 6 {O(1)}
42: f51->f65: 1 {O(1)}
43: f54->f54: 198 {O(1)}
44: f54->f51: 17 {O(1)}
45: f65->f71: 1 {O(1)}
46: f65->f65: 11 {O(1)}
47: f65->f75: 1 {O(1)}
48: f75->f75: 6 {O(1)}
49: f75->f71: 1 {O(1)}

Sizebounds

37: f0->f43, Arg_0: 5 {O(1)}
37: f0->f43, Arg_1: 11 {O(1)}
37: f0->f43, Arg_2: 0 {O(1)}
37: f0->f43, Arg_3: 0 {O(1)}
37: f0->f43, Arg_4: Arg_4 {O(n)}
38: f43->f43, Arg_0: 5 {O(1)}
38: f43->f43, Arg_1: 11 {O(1)}
38: f43->f43, Arg_2: 0 {O(1)}
38: f43->f43, Arg_3: 1 {O(1)}
38: f43->f43, Arg_4: Arg_4 {O(n)}
39: f43->f43, Arg_0: 5 {O(1)}
39: f43->f43, Arg_1: 11 {O(1)}
39: f43->f43, Arg_2: 0 {O(1)}
39: f43->f43, Arg_3: 5 {O(1)}
39: f43->f43, Arg_4: Arg_4 {O(n)}
40: f43->f51, Arg_0: 5 {O(1)}
40: f43->f51, Arg_1: 11 {O(1)}
40: f43->f51, Arg_2: 0 {O(1)}
40: f43->f51, Arg_3: 0 {O(1)}
40: f43->f51, Arg_4: Arg_4 {O(n)}
41: f51->f54, Arg_0: 5 {O(1)}
41: f51->f54, Arg_1: 11 {O(1)}
41: f51->f54, Arg_2: 0 {O(1)}
41: f51->f54, Arg_3: 4 {O(1)}
41: f51->f54, Arg_4: 0 {O(1)}
42: f51->f65, Arg_0: 5 {O(1)}
42: f51->f65, Arg_1: 11 {O(1)}
42: f51->f65, Arg_2: 0 {O(1)}
42: f51->f65, Arg_3: 0 {O(1)}
42: f51->f65, Arg_4: 11 {O(1)}
43: f54->f54, Arg_0: 5 {O(1)}
43: f54->f54, Arg_1: 11 {O(1)}
43: f54->f54, Arg_2: 0 {O(1)}
43: f54->f54, Arg_3: 4 {O(1)}
43: f54->f54, Arg_4: 11 {O(1)}
44: f54->f51, Arg_0: 5 {O(1)}
44: f54->f51, Arg_1: 11 {O(1)}
44: f54->f51, Arg_2: 0 {O(1)}
44: f54->f51, Arg_3: 5 {O(1)}
44: f54->f51, Arg_4: 11 {O(1)}
45: f65->f71, Arg_0: 5 {O(1)}
45: f65->f71, Arg_1: 11 {O(1)}
45: f65->f71, Arg_2: 0 {O(1)}
45: f65->f71, Arg_3: 10 {O(1)}
45: f65->f71, Arg_4: 22 {O(1)}
46: f65->f65, Arg_0: 5 {O(1)}
46: f65->f65, Arg_1: 11 {O(1)}
46: f65->f65, Arg_2: 0 {O(1)}
46: f65->f65, Arg_3: 11 {O(1)}
46: f65->f65, Arg_4: 11 {O(1)}
47: f65->f75, Arg_0: 5 {O(1)}
47: f65->f75, Arg_1: 11 {O(1)}
47: f65->f75, Arg_2: 0 {O(1)}
47: f65->f75, Arg_3: 0 {O(1)}
47: f65->f75, Arg_4: 11 {O(1)}
48: f75->f75, Arg_0: 5 {O(1)}
48: f75->f75, Arg_1: 11 {O(1)}
48: f75->f75, Arg_2: 0 {O(1)}
48: f75->f75, Arg_3: 5 {O(1)}
48: f75->f75, Arg_4: 11 {O(1)}
49: f75->f71, Arg_0: 5 {O(1)}
49: f75->f71, Arg_1: 11 {O(1)}
49: f75->f71, Arg_2: 0 {O(1)}
49: f75->f71, Arg_3: 5 {O(1)}
49: f75->f71, Arg_4: 11 {O(1)}