Initial Problem

Start: f0
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5, Arg_6
Temp_Vars: H
Locations: f0, f18, f22, f33, f40, f8
Transitions:
0:f0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f8(-1,-1,1,Arg_3,Arg_4,Arg_5,Arg_6)
2:f18(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f22(Arg_0,Arg_1,Arg_2,Arg_3,1,1,Arg_6):|:Arg_3<=99
8:f18(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f40(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:100<=Arg_3
5:f22(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f22(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5+1,Arg_6):|:Arg_5<=99 && Arg_3+Arg_5<=100
6:f22(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f22(Arg_0,Arg_1,Arg_2,Arg_3,0,Arg_5+1,H):|:Arg_5<=99 && Arg_3+Arg_5<=100
3:f22(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f33(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:100<=Arg_5
4:f22(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f33(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_5<=99 && 101<=Arg_5+Arg_3
7:f33(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f18(Arg_0,Arg_1,Arg_2,Arg_3+1,0,Arg_5,Arg_6):|:Arg_4<=0 && 0<=Arg_4
9:f33(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f40(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_4+1<=0
10:f33(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f40(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:1<=Arg_4
11:f8(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f18(Arg_0,Arg_1,Arg_2,1,0,Arg_5,Arg_6):|:101<=Arg_2
1:f8(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> f8(Arg_0,Arg_1,Arg_2+1,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_2<=100

Preprocessing

Eliminate variables {H,Arg_0,Arg_1,Arg_6} that do not contribute to the problem

Found invariant Arg_4<=1 && Arg_4<=Arg_3 && 100+Arg_4<=Arg_2 && Arg_2+Arg_4<=102 && 0<=Arg_4 && 2<=Arg_3+Arg_4 && 101<=Arg_2+Arg_4 && Arg_2<=101+Arg_4 && 1<=Arg_3 && 102<=Arg_2+Arg_3 && Arg_2<=100+Arg_3 && Arg_2<=101 && 101<=Arg_2 for location f40

Found invariant Arg_5<=100 && Arg_5<=100+Arg_4 && Arg_4+Arg_5<=101 && Arg_5<=99+Arg_3 && Arg_3+Arg_5<=101 && 1+Arg_5<=Arg_2 && Arg_2+Arg_5<=201 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 101<=Arg_3+Arg_5 && Arg_3<=99+Arg_5 && 102<=Arg_2+Arg_5 && Arg_2<=100+Arg_5 && Arg_4<=1 && Arg_4<=Arg_3 && Arg_3+Arg_4<=101 && 100+Arg_4<=Arg_2 && Arg_2+Arg_4<=102 && 0<=Arg_4 && 1<=Arg_3+Arg_4 && Arg_3<=99+Arg_4 && 101<=Arg_2+Arg_4 && Arg_2<=101+Arg_4 && Arg_3<=100 && 1+Arg_3<=Arg_2 && Arg_2+Arg_3<=201 && 1<=Arg_3 && 102<=Arg_2+Arg_3 && Arg_2<=100+Arg_3 && Arg_2<=101 && 101<=Arg_2 for location f33

Found invariant Arg_4<=0 && 1+Arg_4<=Arg_3 && 101+Arg_4<=Arg_2 && Arg_2+Arg_4<=101 && 0<=Arg_4 && 1<=Arg_3+Arg_4 && 101<=Arg_2+Arg_4 && Arg_2<=101+Arg_4 && 1<=Arg_3 && 102<=Arg_2+Arg_3 && Arg_2<=100+Arg_3 && Arg_2<=101 && 101<=Arg_2 for location f18

Found invariant Arg_2<=101 && 1<=Arg_2 for location f8

Found invariant Arg_5<=100 && Arg_5<=100+Arg_4 && Arg_4+Arg_5<=101 && Arg_5<=99+Arg_3 && Arg_3+Arg_5<=101 && 1+Arg_5<=Arg_2 && Arg_2+Arg_5<=201 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 2<=Arg_3+Arg_5 && Arg_3<=99+Arg_5 && 102<=Arg_2+Arg_5 && Arg_2<=100+Arg_5 && Arg_4<=1 && Arg_4<=Arg_3 && Arg_3+Arg_4<=101 && 100+Arg_4<=Arg_2 && Arg_2+Arg_4<=102 && 0<=Arg_4 && 1<=Arg_3+Arg_4 && Arg_3<=99+Arg_4 && 101<=Arg_2+Arg_4 && Arg_2<=101+Arg_4 && Arg_3<=100 && 1+Arg_3<=Arg_2 && Arg_2+Arg_3<=201 && 1<=Arg_3 && 102<=Arg_2+Arg_3 && Arg_2<=100+Arg_3 && Arg_2<=101 && 101<=Arg_2 for location f22

Cut unsatisfiable transition 35: f33->f40

Problem after Preprocessing

Start: f0
Program_Vars: Arg_2, Arg_3, Arg_4, Arg_5
Temp_Vars:
Locations: f0, f18, f22, f33, f40, f8
Transitions:
27:f0(Arg_2,Arg_3,Arg_4,Arg_5) -> f8(1,Arg_3,Arg_4,Arg_5)
28:f18(Arg_2,Arg_3,Arg_4,Arg_5) -> f22(Arg_2,Arg_3,1,1):|:Arg_4<=0 && 1+Arg_4<=Arg_3 && 101+Arg_4<=Arg_2 && Arg_2+Arg_4<=101 && 0<=Arg_4 && 1<=Arg_3+Arg_4 && 101<=Arg_2+Arg_4 && Arg_2<=101+Arg_4 && 1<=Arg_3 && 102<=Arg_2+Arg_3 && Arg_2<=100+Arg_3 && Arg_2<=101 && 101<=Arg_2 && Arg_3<=99
29:f18(Arg_2,Arg_3,Arg_4,Arg_5) -> f40(Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_4<=0 && 1+Arg_4<=Arg_3 && 101+Arg_4<=Arg_2 && Arg_2+Arg_4<=101 && 0<=Arg_4 && 1<=Arg_3+Arg_4 && 101<=Arg_2+Arg_4 && Arg_2<=101+Arg_4 && 1<=Arg_3 && 102<=Arg_2+Arg_3 && Arg_2<=100+Arg_3 && Arg_2<=101 && 101<=Arg_2 && 100<=Arg_3
32:f22(Arg_2,Arg_3,Arg_4,Arg_5) -> f22(Arg_2,Arg_3,Arg_4,Arg_5+1):|:Arg_5<=100 && Arg_5<=100+Arg_4 && Arg_4+Arg_5<=101 && Arg_5<=99+Arg_3 && Arg_3+Arg_5<=101 && 1+Arg_5<=Arg_2 && Arg_2+Arg_5<=201 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 2<=Arg_3+Arg_5 && Arg_3<=99+Arg_5 && 102<=Arg_2+Arg_5 && Arg_2<=100+Arg_5 && Arg_4<=1 && Arg_4<=Arg_3 && Arg_3+Arg_4<=101 && 100+Arg_4<=Arg_2 && Arg_2+Arg_4<=102 && 0<=Arg_4 && 1<=Arg_3+Arg_4 && Arg_3<=99+Arg_4 && 101<=Arg_2+Arg_4 && Arg_2<=101+Arg_4 && Arg_3<=100 && 1+Arg_3<=Arg_2 && Arg_2+Arg_3<=201 && 1<=Arg_3 && 102<=Arg_2+Arg_3 && Arg_2<=100+Arg_3 && Arg_2<=101 && 101<=Arg_2 && Arg_5<=99 && Arg_3+Arg_5<=100
33:f22(Arg_2,Arg_3,Arg_4,Arg_5) -> f22(Arg_2,Arg_3,0,Arg_5+1):|:Arg_5<=100 && Arg_5<=100+Arg_4 && Arg_4+Arg_5<=101 && Arg_5<=99+Arg_3 && Arg_3+Arg_5<=101 && 1+Arg_5<=Arg_2 && Arg_2+Arg_5<=201 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 2<=Arg_3+Arg_5 && Arg_3<=99+Arg_5 && 102<=Arg_2+Arg_5 && Arg_2<=100+Arg_5 && Arg_4<=1 && Arg_4<=Arg_3 && Arg_3+Arg_4<=101 && 100+Arg_4<=Arg_2 && Arg_2+Arg_4<=102 && 0<=Arg_4 && 1<=Arg_3+Arg_4 && Arg_3<=99+Arg_4 && 101<=Arg_2+Arg_4 && Arg_2<=101+Arg_4 && Arg_3<=100 && 1+Arg_3<=Arg_2 && Arg_2+Arg_3<=201 && 1<=Arg_3 && 102<=Arg_2+Arg_3 && Arg_2<=100+Arg_3 && Arg_2<=101 && 101<=Arg_2 && Arg_5<=99 && Arg_3+Arg_5<=100
30:f22(Arg_2,Arg_3,Arg_4,Arg_5) -> f33(Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_5<=100 && Arg_5<=100+Arg_4 && Arg_4+Arg_5<=101 && Arg_5<=99+Arg_3 && Arg_3+Arg_5<=101 && 1+Arg_5<=Arg_2 && Arg_2+Arg_5<=201 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 2<=Arg_3+Arg_5 && Arg_3<=99+Arg_5 && 102<=Arg_2+Arg_5 && Arg_2<=100+Arg_5 && Arg_4<=1 && Arg_4<=Arg_3 && Arg_3+Arg_4<=101 && 100+Arg_4<=Arg_2 && Arg_2+Arg_4<=102 && 0<=Arg_4 && 1<=Arg_3+Arg_4 && Arg_3<=99+Arg_4 && 101<=Arg_2+Arg_4 && Arg_2<=101+Arg_4 && Arg_3<=100 && 1+Arg_3<=Arg_2 && Arg_2+Arg_3<=201 && 1<=Arg_3 && 102<=Arg_2+Arg_3 && Arg_2<=100+Arg_3 && Arg_2<=101 && 101<=Arg_2 && 100<=Arg_5
31:f22(Arg_2,Arg_3,Arg_4,Arg_5) -> f33(Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_5<=100 && Arg_5<=100+Arg_4 && Arg_4+Arg_5<=101 && Arg_5<=99+Arg_3 && Arg_3+Arg_5<=101 && 1+Arg_5<=Arg_2 && Arg_2+Arg_5<=201 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 2<=Arg_3+Arg_5 && Arg_3<=99+Arg_5 && 102<=Arg_2+Arg_5 && Arg_2<=100+Arg_5 && Arg_4<=1 && Arg_4<=Arg_3 && Arg_3+Arg_4<=101 && 100+Arg_4<=Arg_2 && Arg_2+Arg_4<=102 && 0<=Arg_4 && 1<=Arg_3+Arg_4 && Arg_3<=99+Arg_4 && 101<=Arg_2+Arg_4 && Arg_2<=101+Arg_4 && Arg_3<=100 && 1+Arg_3<=Arg_2 && Arg_2+Arg_3<=201 && 1<=Arg_3 && 102<=Arg_2+Arg_3 && Arg_2<=100+Arg_3 && Arg_2<=101 && 101<=Arg_2 && Arg_5<=99 && 101<=Arg_5+Arg_3
34:f33(Arg_2,Arg_3,Arg_4,Arg_5) -> f18(Arg_2,Arg_3+1,0,Arg_5):|:Arg_5<=100 && Arg_5<=100+Arg_4 && Arg_4+Arg_5<=101 && Arg_5<=99+Arg_3 && Arg_3+Arg_5<=101 && 1+Arg_5<=Arg_2 && Arg_2+Arg_5<=201 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 101<=Arg_3+Arg_5 && Arg_3<=99+Arg_5 && 102<=Arg_2+Arg_5 && Arg_2<=100+Arg_5 && Arg_4<=1 && Arg_4<=Arg_3 && Arg_3+Arg_4<=101 && 100+Arg_4<=Arg_2 && Arg_2+Arg_4<=102 && 0<=Arg_4 && 1<=Arg_3+Arg_4 && Arg_3<=99+Arg_4 && 101<=Arg_2+Arg_4 && Arg_2<=101+Arg_4 && Arg_3<=100 && 1+Arg_3<=Arg_2 && Arg_2+Arg_3<=201 && 1<=Arg_3 && 102<=Arg_2+Arg_3 && Arg_2<=100+Arg_3 && Arg_2<=101 && 101<=Arg_2 && Arg_4<=0 && 0<=Arg_4
36:f33(Arg_2,Arg_3,Arg_4,Arg_5) -> f40(Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_5<=100 && Arg_5<=100+Arg_4 && Arg_4+Arg_5<=101 && Arg_5<=99+Arg_3 && Arg_3+Arg_5<=101 && 1+Arg_5<=Arg_2 && Arg_2+Arg_5<=201 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 101<=Arg_3+Arg_5 && Arg_3<=99+Arg_5 && 102<=Arg_2+Arg_5 && Arg_2<=100+Arg_5 && Arg_4<=1 && Arg_4<=Arg_3 && Arg_3+Arg_4<=101 && 100+Arg_4<=Arg_2 && Arg_2+Arg_4<=102 && 0<=Arg_4 && 1<=Arg_3+Arg_4 && Arg_3<=99+Arg_4 && 101<=Arg_2+Arg_4 && Arg_2<=101+Arg_4 && Arg_3<=100 && 1+Arg_3<=Arg_2 && Arg_2+Arg_3<=201 && 1<=Arg_3 && 102<=Arg_2+Arg_3 && Arg_2<=100+Arg_3 && Arg_2<=101 && 101<=Arg_2 && 1<=Arg_4
38:f8(Arg_2,Arg_3,Arg_4,Arg_5) -> f18(Arg_2,1,0,Arg_5):|:Arg_2<=101 && 1<=Arg_2 && 101<=Arg_2
37:f8(Arg_2,Arg_3,Arg_4,Arg_5) -> f8(Arg_2+1,Arg_3,Arg_4,Arg_5):|:Arg_2<=101 && 1<=Arg_2 && Arg_2<=100

MPRF for transition 37:f8(Arg_2,Arg_3,Arg_4,Arg_5) -> f8(Arg_2+1,Arg_3,Arg_4,Arg_5):|:Arg_2<=101 && 1<=Arg_2 && Arg_2<=100 of depth 1:

new bound:

103 {O(1)}

MPRF:

f8 [102-Arg_2 ]

MPRF for transition 28:f18(Arg_2,Arg_3,Arg_4,Arg_5) -> f22(Arg_2,Arg_3,1,1):|:Arg_4<=0 && 1+Arg_4<=Arg_3 && 101+Arg_4<=Arg_2 && Arg_2+Arg_4<=101 && 0<=Arg_4 && 1<=Arg_3+Arg_4 && 101<=Arg_2+Arg_4 && Arg_2<=101+Arg_4 && 1<=Arg_3 && 102<=Arg_2+Arg_3 && Arg_2<=100+Arg_3 && Arg_2<=101 && 101<=Arg_2 && Arg_3<=99 of depth 1:

new bound:

10201 {O(1)}

MPRF:

f22 [9999-101*Arg_3 ]
f33 [99*Arg_2-101*Arg_3 ]
f18 [10100-101*Arg_3 ]

MPRF for transition 30:f22(Arg_2,Arg_3,Arg_4,Arg_5) -> f33(Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_5<=100 && Arg_5<=100+Arg_4 && Arg_4+Arg_5<=101 && Arg_5<=99+Arg_3 && Arg_3+Arg_5<=101 && 1+Arg_5<=Arg_2 && Arg_2+Arg_5<=201 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 2<=Arg_3+Arg_5 && Arg_3<=99+Arg_5 && 102<=Arg_2+Arg_5 && Arg_2<=100+Arg_5 && Arg_4<=1 && Arg_4<=Arg_3 && Arg_3+Arg_4<=101 && 100+Arg_4<=Arg_2 && Arg_2+Arg_4<=102 && 0<=Arg_4 && 1<=Arg_3+Arg_4 && Arg_3<=99+Arg_4 && 101<=Arg_2+Arg_4 && Arg_2<=101+Arg_4 && Arg_3<=100 && 1+Arg_3<=Arg_2 && Arg_2+Arg_3<=201 && 1<=Arg_3 && 102<=Arg_2+Arg_3 && Arg_2<=100+Arg_3 && Arg_2<=101 && 101<=Arg_2 && 100<=Arg_5 of depth 1:

new bound:

102 {O(1)}

MPRF:

f22 [101-Arg_3 ]
f33 [Arg_5-1 ]
f18 [101-Arg_3 ]

MPRF for transition 31:f22(Arg_2,Arg_3,Arg_4,Arg_5) -> f33(Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_5<=100 && Arg_5<=100+Arg_4 && Arg_4+Arg_5<=101 && Arg_5<=99+Arg_3 && Arg_3+Arg_5<=101 && 1+Arg_5<=Arg_2 && Arg_2+Arg_5<=201 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 2<=Arg_3+Arg_5 && Arg_3<=99+Arg_5 && 102<=Arg_2+Arg_5 && Arg_2<=100+Arg_5 && Arg_4<=1 && Arg_4<=Arg_3 && Arg_3+Arg_4<=101 && 100+Arg_4<=Arg_2 && Arg_2+Arg_4<=102 && 0<=Arg_4 && 1<=Arg_3+Arg_4 && Arg_3<=99+Arg_4 && 101<=Arg_2+Arg_4 && Arg_2<=101+Arg_4 && Arg_3<=100 && 1+Arg_3<=Arg_2 && Arg_2+Arg_3<=201 && 1<=Arg_3 && 102<=Arg_2+Arg_3 && Arg_2<=100+Arg_3 && Arg_2<=101 && 101<=Arg_2 && Arg_5<=99 && 101<=Arg_5+Arg_3 of depth 1:

new bound:

102 {O(1)}

MPRF:

f22 [101-Arg_3 ]
f33 [100-Arg_3 ]
f18 [101-Arg_3 ]

MPRF for transition 32:f22(Arg_2,Arg_3,Arg_4,Arg_5) -> f22(Arg_2,Arg_3,Arg_4,Arg_5+1):|:Arg_5<=100 && Arg_5<=100+Arg_4 && Arg_4+Arg_5<=101 && Arg_5<=99+Arg_3 && Arg_3+Arg_5<=101 && 1+Arg_5<=Arg_2 && Arg_2+Arg_5<=201 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 2<=Arg_3+Arg_5 && Arg_3<=99+Arg_5 && 102<=Arg_2+Arg_5 && Arg_2<=100+Arg_5 && Arg_4<=1 && Arg_4<=Arg_3 && Arg_3+Arg_4<=101 && 100+Arg_4<=Arg_2 && Arg_2+Arg_4<=102 && 0<=Arg_4 && 1<=Arg_3+Arg_4 && Arg_3<=99+Arg_4 && 101<=Arg_2+Arg_4 && Arg_2<=101+Arg_4 && Arg_3<=100 && 1+Arg_3<=Arg_2 && Arg_2+Arg_3<=201 && 1<=Arg_3 && 102<=Arg_2+Arg_3 && Arg_2<=100+Arg_3 && Arg_2<=101 && 101<=Arg_2 && Arg_5<=99 && Arg_3+Arg_5<=100 of depth 1:

new bound:

9999 {O(1)}

MPRF:

f22 [9901-99*Arg_3-Arg_5 ]
f33 [9901-99*Arg_3-Arg_5 ]
f18 [9900-99*Arg_3 ]

MPRF for transition 33:f22(Arg_2,Arg_3,Arg_4,Arg_5) -> f22(Arg_2,Arg_3,0,Arg_5+1):|:Arg_5<=100 && Arg_5<=100+Arg_4 && Arg_4+Arg_5<=101 && Arg_5<=99+Arg_3 && Arg_3+Arg_5<=101 && 1+Arg_5<=Arg_2 && Arg_2+Arg_5<=201 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 2<=Arg_3+Arg_5 && Arg_3<=99+Arg_5 && 102<=Arg_2+Arg_5 && Arg_2<=100+Arg_5 && Arg_4<=1 && Arg_4<=Arg_3 && Arg_3+Arg_4<=101 && 100+Arg_4<=Arg_2 && Arg_2+Arg_4<=102 && 0<=Arg_4 && 1<=Arg_3+Arg_4 && Arg_3<=99+Arg_4 && 101<=Arg_2+Arg_4 && Arg_2<=101+Arg_4 && Arg_3<=100 && 1+Arg_3<=Arg_2 && Arg_2+Arg_3<=201 && 1<=Arg_3 && 102<=Arg_2+Arg_3 && Arg_2<=100+Arg_3 && Arg_2<=101 && 101<=Arg_2 && Arg_5<=99 && Arg_3+Arg_5<=100 of depth 1:

new bound:

1000001 {O(1)}

MPRF:

f22 [990103-9999*Arg_3-101*Arg_5 ]
f33 [9803*Arg_2-9999*Arg_3-101*Arg_5 ]
f18 [990002-9999*Arg_3 ]

MPRF for transition 34:f33(Arg_2,Arg_3,Arg_4,Arg_5) -> f18(Arg_2,Arg_3+1,0,Arg_5):|:Arg_5<=100 && Arg_5<=100+Arg_4 && Arg_4+Arg_5<=101 && Arg_5<=99+Arg_3 && Arg_3+Arg_5<=101 && 1+Arg_5<=Arg_2 && Arg_2+Arg_5<=201 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 101<=Arg_3+Arg_5 && Arg_3<=99+Arg_5 && 102<=Arg_2+Arg_5 && Arg_2<=100+Arg_5 && Arg_4<=1 && Arg_4<=Arg_3 && Arg_3+Arg_4<=101 && 100+Arg_4<=Arg_2 && Arg_2+Arg_4<=102 && 0<=Arg_4 && 1<=Arg_3+Arg_4 && Arg_3<=99+Arg_4 && 101<=Arg_2+Arg_4 && Arg_2<=101+Arg_4 && Arg_3<=100 && 1+Arg_3<=Arg_2 && Arg_2+Arg_3<=201 && 1<=Arg_3 && 102<=Arg_2+Arg_3 && Arg_2<=100+Arg_3 && Arg_2<=101 && 101<=Arg_2 && Arg_4<=0 && 0<=Arg_4 of depth 1:

new bound:

97980404 {O(1)}

MPRF:

f22 [Arg_2+97029900-970201*Arg_3-9899*Arg_4-9899*Arg_5 ]
f33 [Arg_5+96030101-960301*Arg_3-9899*Arg_4 ]
f18 [97010203-970201*Arg_3 ]

All Bounds

Timebounds

Overall timebound:99000916 {O(1)}
27: f0->f8: 1 {O(1)}
28: f18->f22: 10201 {O(1)}
29: f18->f40: 1 {O(1)}
30: f22->f33: 102 {O(1)}
31: f22->f33: 102 {O(1)}
32: f22->f22: 9999 {O(1)}
33: f22->f22: 1000001 {O(1)}
34: f33->f18: 97980404 {O(1)}
36: f33->f40: 1 {O(1)}
37: f8->f8: 103 {O(1)}
38: f8->f18: 1 {O(1)}

Costbounds

Overall costbound: 99000916 {O(1)}
27: f0->f8: 1 {O(1)}
28: f18->f22: 10201 {O(1)}
29: f18->f40: 1 {O(1)}
30: f22->f33: 102 {O(1)}
31: f22->f33: 102 {O(1)}
32: f22->f22: 9999 {O(1)}
33: f22->f22: 1000001 {O(1)}
34: f33->f18: 97980404 {O(1)}
36: f33->f40: 1 {O(1)}
37: f8->f8: 103 {O(1)}
38: f8->f18: 1 {O(1)}

Sizebounds

27: f0->f8, Arg_2: 1 {O(1)}
27: f0->f8, Arg_3: Arg_3 {O(n)}
27: f0->f8, Arg_4: Arg_4 {O(n)}
27: f0->f8, Arg_5: Arg_5 {O(n)}
28: f18->f22, Arg_2: 101 {O(1)}
28: f18->f22, Arg_3: 99 {O(1)}
28: f18->f22, Arg_4: 1 {O(1)}
28: f18->f22, Arg_5: 1 {O(1)}
29: f18->f40, Arg_2: 101 {O(1)}
29: f18->f40, Arg_3: 100 {O(1)}
29: f18->f40, Arg_4: 0 {O(1)}
29: f18->f40, Arg_5: 100 {O(1)}
30: f22->f33, Arg_2: 101 {O(1)}
30: f22->f33, Arg_3: 1 {O(1)}
30: f22->f33, Arg_4: 1 {O(1)}
30: f22->f33, Arg_5: 100 {O(1)}
31: f22->f33, Arg_2: 101 {O(1)}
31: f22->f33, Arg_3: 100 {O(1)}
31: f22->f33, Arg_4: 1 {O(1)}
31: f22->f33, Arg_5: 99 {O(1)}
32: f22->f22, Arg_2: 101 {O(1)}
32: f22->f22, Arg_3: 99 {O(1)}
32: f22->f22, Arg_4: 1 {O(1)}
32: f22->f22, Arg_5: 100 {O(1)}
33: f22->f22, Arg_2: 101 {O(1)}
33: f22->f22, Arg_3: 99 {O(1)}
33: f22->f22, Arg_4: 0 {O(1)}
33: f22->f22, Arg_5: 100 {O(1)}
34: f33->f18, Arg_2: 101 {O(1)}
34: f33->f18, Arg_3: 100 {O(1)}
34: f33->f18, Arg_4: 0 {O(1)}
34: f33->f18, Arg_5: 100 {O(1)}
36: f33->f40, Arg_2: 101 {O(1)}
36: f33->f40, Arg_3: 100 {O(1)}
36: f33->f40, Arg_4: 1 {O(1)}
36: f33->f40, Arg_5: 100 {O(1)}
37: f8->f8, Arg_2: 101 {O(1)}
37: f8->f8, Arg_3: Arg_3 {O(n)}
37: f8->f8, Arg_4: Arg_4 {O(n)}
37: f8->f8, Arg_5: Arg_5 {O(n)}
38: f8->f18, Arg_2: 101 {O(1)}
38: f8->f18, Arg_3: 1 {O(1)}
38: f8->f18, Arg_4: 0 {O(1)}
38: f8->f18, Arg_5: Arg_5 {O(n)}