Initial Problem
Start: n_f2
Program_Vars: Arg_0, Arg_1, Arg_2
Temp_Vars: A_P, NoDet0
Locations: n_f1___1, n_f1___2, n_f1___7, n_f2, n_f300___3, n_f300___4, n_f300___5, n_f300___6, n_f300___8
Transitions:
0:n_f2(Arg_0,Arg_1,Arg_2) -> n_f300___8(Arg_0,Arg_1,Arg_2)
1:n_f300___3(Arg_0,Arg_1,Arg_2) -> n_f300___5(Arg_0+1,Arg_1+1,Arg_2):|:1+Arg_0<=0 && 0<=Arg_1 && 0<=Arg_1 && 1+Arg_0<=0 && 1<=Arg_1 && Arg_0<=0 && 0<=Arg_1 && 1+Arg_0<=0
2:n_f300___4(Arg_0,Arg_1,Arg_2) -> n_f1___1(A_P,Arg_1,NoDet0):|:1+Arg_1<=0 && Arg_0<=0 && 0<=A_P && Arg_0<=A_P && A_P<=Arg_0
3:n_f300___4(Arg_0,Arg_1,Arg_2) -> n_f300___4(Arg_0+1,Arg_1+1,Arg_2):|:1+Arg_1<=0 && Arg_0<=0 && 2+Arg_1<=0 && 1+Arg_0<=0
4:n_f300___4(Arg_0,Arg_1,Arg_2) -> n_f300___6(Arg_0-99,0,Arg_2):|:1+Arg_1<=0 && Arg_0<=0 && 1+Arg_0<=0 && Arg_1+1<=0 && 0<=1+Arg_1
5:n_f300___5(Arg_0,Arg_1,Arg_2) -> n_f1___2(A_P,Arg_1,NoDet0):|:0<=Arg_1 && 1<=Arg_1 && Arg_0<=0 && 0<=A_P && Arg_0<=A_P && A_P<=Arg_0
6:n_f300___5(Arg_0,Arg_1,Arg_2) -> n_f300___5(Arg_0+1,Arg_1+1,Arg_2):|:0<=Arg_1 && 1<=Arg_1 && Arg_0<=0 && 0<=Arg_1 && 1+Arg_0<=0
7:n_f300___6(Arg_0,Arg_1,Arg_2) -> n_f300___3(Arg_0+1,Arg_1+1,Arg_2):|:1+Arg_0<=0 && 0<=Arg_1 && Arg_1<=0 && 0<=Arg_1 && 100+Arg_0<=0 && 0<=Arg_1 && 1+Arg_0<=0 && 0<=Arg_1 && 1+Arg_0<=0
8:n_f300___8(Arg_0,Arg_1,Arg_2) -> n_f1___7(A_P,Arg_1,NoDet0):|:0<=A_P && Arg_0<=A_P && A_P<=Arg_0
9:n_f300___8(Arg_0,Arg_1,Arg_2) -> n_f300___4(Arg_0+1,Arg_1+1,Arg_2):|:2+Arg_1<=0 && 1+Arg_0<=0
10:n_f300___8(Arg_0,Arg_1,Arg_2) -> n_f300___5(Arg_0+1,Arg_1+1,Arg_2):|:0<=Arg_1 && 1+Arg_0<=0
11:n_f300___8(Arg_0,Arg_1,Arg_2) -> n_f300___6(Arg_0-99,0,Arg_2):|:1+Arg_0<=0 && Arg_1+1<=0 && 0<=1+Arg_1
Preprocessing
Eliminate variables {NoDet0,Arg_2} that do not contribute to the problem
Found invariant 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 for location n_f1___2
Found invariant Arg_1<=1 && 98+Arg_0+Arg_1<=0 && 1<=Arg_1 && 100+Arg_0<=Arg_1 && 99+Arg_0<=0 for location n_f300___3
Found invariant 1<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 for location n_f300___5
Found invariant 0<=Arg_0 for location n_f1___7
Found invariant Arg_1<=0 && 100+Arg_0+Arg_1<=0 && 0<=Arg_1 && 100+Arg_0<=Arg_1 && 100+Arg_0<=0 for location n_f300___6
Found invariant 1+Arg_1<=0 && 1+Arg_1<=Arg_0 && 1+Arg_0+Arg_1<=0 && Arg_0<=0 && 0<=Arg_0 for location n_f1___1
Found invariant 1+Arg_1<=0 && 1+Arg_0+Arg_1<=0 && Arg_0<=0 for location n_f300___4
Problem after Preprocessing
Start: n_f2
Program_Vars: Arg_0, Arg_1
Temp_Vars: A_P
Locations: n_f1___1, n_f1___2, n_f1___7, n_f2, n_f300___3, n_f300___4, n_f300___5, n_f300___6, n_f300___8
Transitions:
24:n_f2(Arg_0,Arg_1) -> n_f300___8(Arg_0,Arg_1)
25:n_f300___3(Arg_0,Arg_1) -> n_f300___5(Arg_0+1,Arg_1+1):|:Arg_1<=1 && 98+Arg_0+Arg_1<=0 && 1<=Arg_1 && 100+Arg_0<=Arg_1 && 99+Arg_0<=0 && 1+Arg_0<=0 && 0<=Arg_1 && 0<=Arg_1 && 1+Arg_0<=0 && 1<=Arg_1 && Arg_0<=0 && 0<=Arg_1 && 1+Arg_0<=0
26:n_f300___4(Arg_0,Arg_1) -> n_f1___1(A_P,Arg_1):|:1+Arg_1<=0 && 1+Arg_0+Arg_1<=0 && Arg_0<=0 && 1+Arg_1<=0 && Arg_0<=0 && 0<=A_P && Arg_0<=A_P && A_P<=Arg_0
27:n_f300___4(Arg_0,Arg_1) -> n_f300___4(Arg_0+1,Arg_1+1):|:1+Arg_1<=0 && 1+Arg_0+Arg_1<=0 && Arg_0<=0 && 1+Arg_1<=0 && Arg_0<=0 && 2+Arg_1<=0 && 1+Arg_0<=0
28:n_f300___4(Arg_0,Arg_1) -> n_f300___6(Arg_0-99,0):|:1+Arg_1<=0 && 1+Arg_0+Arg_1<=0 && Arg_0<=0 && 1+Arg_1<=0 && Arg_0<=0 && 1+Arg_0<=0 && Arg_1+1<=0 && 0<=1+Arg_1
29:n_f300___5(Arg_0,Arg_1) -> n_f1___2(A_P,Arg_1):|:1<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_1 && 1<=Arg_1 && Arg_0<=0 && 0<=A_P && Arg_0<=A_P && A_P<=Arg_0
30:n_f300___5(Arg_0,Arg_1) -> n_f300___5(Arg_0+1,Arg_1+1):|:1<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_1 && 1<=Arg_1 && Arg_0<=0 && 0<=Arg_1 && 1+Arg_0<=0
31:n_f300___6(Arg_0,Arg_1) -> n_f300___3(Arg_0+1,Arg_1+1):|:Arg_1<=0 && 100+Arg_0+Arg_1<=0 && 0<=Arg_1 && 100+Arg_0<=Arg_1 && 100+Arg_0<=0 && 1+Arg_0<=0 && 0<=Arg_1 && Arg_1<=0 && 0<=Arg_1 && 100+Arg_0<=0 && 0<=Arg_1 && 1+Arg_0<=0 && 0<=Arg_1 && 1+Arg_0<=0
32:n_f300___8(Arg_0,Arg_1) -> n_f1___7(A_P,Arg_1):|:0<=A_P && Arg_0<=A_P && A_P<=Arg_0
33:n_f300___8(Arg_0,Arg_1) -> n_f300___4(Arg_0+1,Arg_1+1):|:2+Arg_1<=0 && 1+Arg_0<=0
34:n_f300___8(Arg_0,Arg_1) -> n_f300___5(Arg_0+1,Arg_1+1):|:0<=Arg_1 && 1+Arg_0<=0
35:n_f300___8(Arg_0,Arg_1) -> n_f300___6(Arg_0-99,0):|:1+Arg_0<=0 && Arg_1+1<=0 && 0<=1+Arg_1
MPRF for transition 27:n_f300___4(Arg_0,Arg_1) -> n_f300___4(Arg_0+1,Arg_1+1):|:1+Arg_1<=0 && 1+Arg_0+Arg_1<=0 && Arg_0<=0 && 1+Arg_1<=0 && Arg_0<=0 && 2+Arg_1<=0 && 1+Arg_0<=0 of depth 1:
new bound:
Arg_0+1 {O(n)}
MPRF:
n_f300___4 [1-Arg_0 ]
MPRF for transition 30:n_f300___5(Arg_0,Arg_1) -> n_f300___5(Arg_0+1,Arg_1+1):|:1<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_1 && 1<=Arg_1 && Arg_0<=0 && 0<=Arg_1 && 1+Arg_0<=0 of depth 1:
new bound:
4*Arg_0+299 {O(n)}
MPRF:
n_f300___5 [1-Arg_0 ]
All Bounds
Timebounds
Overall timebound:5*Arg_0+310 {O(n)}
24: n_f2->n_f300___8: 1 {O(1)}
25: n_f300___3->n_f300___5: 1 {O(1)}
26: n_f300___4->n_f1___1: 1 {O(1)}
27: n_f300___4->n_f300___4: Arg_0+1 {O(n)}
28: n_f300___4->n_f300___6: 1 {O(1)}
29: n_f300___5->n_f1___2: 1 {O(1)}
30: n_f300___5->n_f300___5: 4*Arg_0+299 {O(n)}
31: n_f300___6->n_f300___3: 1 {O(1)}
32: n_f300___8->n_f1___7: 1 {O(1)}
33: n_f300___8->n_f300___4: 1 {O(1)}
34: n_f300___8->n_f300___5: 1 {O(1)}
35: n_f300___8->n_f300___6: 1 {O(1)}
Costbounds
Overall costbound: 5*Arg_0+310 {O(n)}
24: n_f2->n_f300___8: 1 {O(1)}
25: n_f300___3->n_f300___5: 1 {O(1)}
26: n_f300___4->n_f1___1: 1 {O(1)}
27: n_f300___4->n_f300___4: Arg_0+1 {O(n)}
28: n_f300___4->n_f300___6: 1 {O(1)}
29: n_f300___5->n_f1___2: 1 {O(1)}
30: n_f300___5->n_f300___5: 4*Arg_0+299 {O(n)}
31: n_f300___6->n_f300___3: 1 {O(1)}
32: n_f300___8->n_f1___7: 1 {O(1)}
33: n_f300___8->n_f300___4: 1 {O(1)}
34: n_f300___8->n_f300___5: 1 {O(1)}
35: n_f300___8->n_f300___6: 1 {O(1)}
Sizebounds
24: n_f2->n_f300___8, Arg_0: Arg_0 {O(n)}
24: n_f2->n_f300___8, Arg_1: Arg_1 {O(n)}
25: n_f300___3->n_f300___5, Arg_0: 3*Arg_0+297 {O(n)}
25: n_f300___3->n_f300___5, Arg_1: 2 {O(1)}
26: n_f300___4->n_f1___1, Arg_0: 0 {O(1)}
26: n_f300___4->n_f1___1, Arg_1: 2*Arg_1 {O(n)}
27: n_f300___4->n_f300___4, Arg_0: Arg_0 {O(n)}
27: n_f300___4->n_f300___4, Arg_1: Arg_1 {O(n)}
28: n_f300___4->n_f300___6, Arg_0: 2*Arg_0+198 {O(n)}
28: n_f300___4->n_f300___6, Arg_1: 0 {O(1)}
29: n_f300___5->n_f1___2, Arg_0: 0 {O(1)}
29: n_f300___5->n_f1___2, Arg_1: 2*Arg_1+4*Arg_0+303 {O(n)}
30: n_f300___5->n_f300___5, Arg_0: 4*Arg_0+297 {O(n)}
30: n_f300___5->n_f300___5, Arg_1: 4*Arg_0+Arg_1+302 {O(n)}
31: n_f300___6->n_f300___3, Arg_0: 3*Arg_0+297 {O(n)}
31: n_f300___6->n_f300___3, Arg_1: 1 {O(1)}
32: n_f300___8->n_f1___7, Arg_0: Arg_0 {O(n)}
32: n_f300___8->n_f1___7, Arg_1: Arg_1 {O(n)}
33: n_f300___8->n_f300___4, Arg_0: Arg_0 {O(n)}
33: n_f300___8->n_f300___4, Arg_1: Arg_1 {O(n)}
34: n_f300___8->n_f300___5, Arg_0: Arg_0 {O(n)}
34: n_f300___8->n_f300___5, Arg_1: Arg_1+1 {O(n)}
35: n_f300___8->n_f300___6, Arg_0: Arg_0+99 {O(n)}
35: n_f300___8->n_f300___6, Arg_1: 0 {O(1)}