Initial Problem
Start: n_f3
Program_Vars: Arg_0, Arg_1, Arg_2
Temp_Vars: B_P, NoDet0
Locations: n_f1___2, n_f1___6, n_f2___1, n_f2___4, n_f2___5, n_f3, n_f300___3, n_f300___7
Transitions:
0:n_f2___1(Arg_0,Arg_1,Arg_2) -> n_f300___3(Arg_0,Arg_1-1,Arg_2):|:Arg_0<=30 && Arg_0<=30 && 21<=Arg_1 && Arg_0<=30
1:n_f2___4(Arg_0,Arg_1,Arg_2) -> n_f2___4(Arg_0-1,Arg_1,Arg_2):|:30<=Arg_0 && 21<=Arg_1 && 31<=Arg_0
2:n_f2___4(Arg_0,Arg_1,Arg_2) -> n_f300___3(Arg_0,Arg_1-1,Arg_2):|:30<=Arg_0 && 21<=Arg_1 && Arg_0<=30
3:n_f2___5(Arg_0,Arg_1,Arg_2) -> n_f2___4(Arg_0-1,Arg_1,Arg_2):|:21<=Arg_1 && 31<=Arg_0
4:n_f2___5(Arg_0,Arg_1,Arg_2) -> n_f300___3(Arg_0,Arg_1-1,Arg_2):|:21<=Arg_1 && Arg_0<=30
5:n_f3(Arg_0,Arg_1,Arg_2) -> n_f300___7(Arg_0,Arg_1,Arg_2)
6:n_f300___3(Arg_0,Arg_1,Arg_2) -> n_f1___2(Arg_0,B_P,NoDet0):|:Arg_0<=30 && Arg_0<=30 && B_P<=20 && Arg_1<=B_P && B_P<=Arg_1
7:n_f300___3(Arg_0,Arg_1,Arg_2) -> n_f2___1(Arg_0,Arg_1,Arg_2):|:Arg_0<=30 && Arg_0<=30 && 21<=Arg_1
8:n_f300___7(Arg_0,Arg_1,Arg_2) -> n_f1___6(Arg_0,B_P,NoDet0):|:B_P<=20 && Arg_1<=B_P && B_P<=Arg_1
9:n_f300___7(Arg_0,Arg_1,Arg_2) -> n_f2___5(Arg_0,Arg_1,Arg_2):|:21<=Arg_1
Preprocessing
Eliminate variables {NoDet0,Arg_2} that do not contribute to the problem
Found invariant 21<=Arg_1 && Arg_0<=9+Arg_1 && Arg_0<=30 for location n_f2___1
Found invariant Arg_1<=20 && Arg_0+Arg_1<=50 && 20<=Arg_1 && Arg_0<=10+Arg_1 && Arg_0<=30 for location n_f1___2
Found invariant 21<=Arg_1 for location n_f2___5
Found invariant 20<=Arg_1 && Arg_0<=10+Arg_1 && Arg_0<=30 for location n_f300___3
Found invariant Arg_1<=20 for location n_f1___6
Found invariant 21<=Arg_1 && 51<=Arg_0+Arg_1 && 30<=Arg_0 for location n_f2___4
Problem after Preprocessing
Start: n_f3
Program_Vars: Arg_0, Arg_1
Temp_Vars: B_P
Locations: n_f1___2, n_f1___6, n_f2___1, n_f2___4, n_f2___5, n_f3, n_f300___3, n_f300___7
Transitions:
20:n_f2___1(Arg_0,Arg_1) -> n_f300___3(Arg_0,Arg_1-1):|:21<=Arg_1 && Arg_0<=9+Arg_1 && Arg_0<=30 && Arg_0<=30 && Arg_0<=30 && 21<=Arg_1 && Arg_0<=30
21:n_f2___4(Arg_0,Arg_1) -> n_f2___4(Arg_0-1,Arg_1):|:21<=Arg_1 && 51<=Arg_0+Arg_1 && 30<=Arg_0 && 30<=Arg_0 && 21<=Arg_1 && 31<=Arg_0
22:n_f2___4(Arg_0,Arg_1) -> n_f300___3(Arg_0,Arg_1-1):|:21<=Arg_1 && 51<=Arg_0+Arg_1 && 30<=Arg_0 && 30<=Arg_0 && 21<=Arg_1 && Arg_0<=30
23:n_f2___5(Arg_0,Arg_1) -> n_f2___4(Arg_0-1,Arg_1):|:21<=Arg_1 && 21<=Arg_1 && 31<=Arg_0
24:n_f2___5(Arg_0,Arg_1) -> n_f300___3(Arg_0,Arg_1-1):|:21<=Arg_1 && 21<=Arg_1 && Arg_0<=30
25:n_f3(Arg_0,Arg_1) -> n_f300___7(Arg_0,Arg_1)
26:n_f300___3(Arg_0,Arg_1) -> n_f1___2(Arg_0,B_P):|:20<=Arg_1 && Arg_0<=10+Arg_1 && Arg_0<=30 && Arg_0<=30 && Arg_0<=30 && B_P<=20 && Arg_1<=B_P && B_P<=Arg_1
27:n_f300___3(Arg_0,Arg_1) -> n_f2___1(Arg_0,Arg_1):|:20<=Arg_1 && Arg_0<=10+Arg_1 && Arg_0<=30 && Arg_0<=30 && Arg_0<=30 && 21<=Arg_1
28:n_f300___7(Arg_0,Arg_1) -> n_f1___6(Arg_0,B_P):|:B_P<=20 && Arg_1<=B_P && B_P<=Arg_1
29:n_f300___7(Arg_0,Arg_1) -> n_f2___5(Arg_0,Arg_1):|:21<=Arg_1
MPRF for transition 21:n_f2___4(Arg_0,Arg_1) -> n_f2___4(Arg_0-1,Arg_1):|:21<=Arg_1 && 51<=Arg_0+Arg_1 && 30<=Arg_0 && 30<=Arg_0 && 21<=Arg_1 && 31<=Arg_0 of depth 1:
new bound:
Arg_0 {O(n)}
MPRF:
n_f2___4 [Arg_0 ]
MPRF for transition 20:n_f2___1(Arg_0,Arg_1) -> n_f300___3(Arg_0,Arg_1-1):|:21<=Arg_1 && Arg_0<=9+Arg_1 && Arg_0<=30 && Arg_0<=30 && Arg_0<=30 && 21<=Arg_1 && Arg_0<=30 of depth 1:
new bound:
3*Arg_1+40 {O(n)}
MPRF:
n_f300___3 [Arg_1-20 ]
n_f2___1 [Arg_1-20 ]
MPRF for transition 27:n_f300___3(Arg_0,Arg_1) -> n_f2___1(Arg_0,Arg_1):|:20<=Arg_1 && Arg_0<=10+Arg_1 && Arg_0<=30 && Arg_0<=30 && Arg_0<=30 && 21<=Arg_1 of depth 1:
new bound:
3*Arg_1+38 {O(n)}
MPRF:
n_f300___3 [Arg_1-19 ]
n_f2___1 [Arg_1-20 ]
All Bounds
Timebounds
Overall timebound:6*Arg_1+Arg_0+85 {O(n)}
20: n_f2___1->n_f300___3: 3*Arg_1+40 {O(n)}
21: n_f2___4->n_f2___4: Arg_0 {O(n)}
22: n_f2___4->n_f300___3: 1 {O(1)}
23: n_f2___5->n_f2___4: 1 {O(1)}
24: n_f2___5->n_f300___3: 1 {O(1)}
25: n_f3->n_f300___7: 1 {O(1)}
26: n_f300___3->n_f1___2: 1 {O(1)}
27: n_f300___3->n_f2___1: 3*Arg_1+38 {O(n)}
28: n_f300___7->n_f1___6: 1 {O(1)}
29: n_f300___7->n_f2___5: 1 {O(1)}
Costbounds
Overall costbound: 6*Arg_1+Arg_0+85 {O(n)}
20: n_f2___1->n_f300___3: 3*Arg_1+40 {O(n)}
21: n_f2___4->n_f2___4: Arg_0 {O(n)}
22: n_f2___4->n_f300___3: 1 {O(1)}
23: n_f2___5->n_f2___4: 1 {O(1)}
24: n_f2___5->n_f300___3: 1 {O(1)}
25: n_f3->n_f300___7: 1 {O(1)}
26: n_f300___3->n_f1___2: 1 {O(1)}
27: n_f300___3->n_f2___1: 3*Arg_1+38 {O(n)}
28: n_f300___7->n_f1___6: 1 {O(1)}
29: n_f300___7->n_f2___5: 1 {O(1)}
Sizebounds
20: n_f2___1->n_f300___3, Arg_0: Arg_0+30 {O(n)}
20: n_f2___1->n_f300___3, Arg_1: 3*Arg_1 {O(n)}
21: n_f2___4->n_f2___4, Arg_0: Arg_0 {O(n)}
21: n_f2___4->n_f2___4, Arg_1: Arg_1 {O(n)}
22: n_f2___4->n_f300___3, Arg_0: 30 {O(1)}
22: n_f2___4->n_f300___3, Arg_1: 2*Arg_1 {O(n)}
23: n_f2___5->n_f2___4, Arg_0: Arg_0 {O(n)}
23: n_f2___5->n_f2___4, Arg_1: Arg_1 {O(n)}
24: n_f2___5->n_f300___3, Arg_0: Arg_0 {O(n)}
24: n_f2___5->n_f300___3, Arg_1: Arg_1 {O(n)}
25: n_f3->n_f300___7, Arg_0: Arg_0 {O(n)}
25: n_f3->n_f300___7, Arg_1: Arg_1 {O(n)}
26: n_f300___3->n_f1___2, Arg_0: 2*Arg_0+60 {O(n)}
26: n_f300___3->n_f1___2, Arg_1: 20 {O(1)}
27: n_f300___3->n_f2___1, Arg_0: Arg_0+30 {O(n)}
27: n_f300___3->n_f2___1, Arg_1: 3*Arg_1 {O(n)}
28: n_f300___7->n_f1___6, Arg_0: Arg_0 {O(n)}
28: n_f300___7->n_f1___6, Arg_1: Arg_1 {O(n)}
29: n_f300___7->n_f2___5, Arg_0: Arg_0 {O(n)}
29: n_f300___7->n_f2___5, Arg_1: Arg_1 {O(n)}