Initial Problem
Start: n_f0
Program_Vars: Arg_0, Arg_1, Arg_2
Temp_Vars: NoDet0
Locations: n_f0, n_f17___2, n_f17___3, n_f17___4, n_f24___1, n_f9___5, n_f9___6, n_f9___7
Transitions:
0:n_f0(Arg_0,Arg_1,Arg_2) -> n_f9___7(0,NoDet0,0)
1:n_f17___2(Arg_0,Arg_1,Arg_2) -> n_f17___2(Arg_0+1,Arg_1,Arg_2):|:Arg_0<=50 && Arg_0<=49
2:n_f17___2(Arg_0,Arg_1,Arg_2) -> n_f24___1(Arg_0,Arg_1,Arg_2):|:Arg_0<=50 && 50<=Arg_0
3:n_f17___3(Arg_0,Arg_1,Arg_2) -> n_f17___2(Arg_0+1,Arg_1,Arg_2):|:Arg_0<=49 && Arg_0<=49 && Arg_0<=50 && Arg_0<=49
4:n_f17___4(Arg_0,Arg_1,Arg_2) -> n_f17___3(Arg_0+1,Arg_1,Arg_2):|:Arg_0<=49 && Arg_0<=49 && Arg_0<=50 && Arg_0<=0 && 0<=Arg_0 && 50<=Arg_2 && Arg_0<=49
5:n_f9___5(Arg_0,Arg_1,Arg_2) -> n_f17___4(0,Arg_1,Arg_2):|:Arg_2<=50 && 50<=Arg_2
6:n_f9___5(Arg_0,Arg_1,Arg_2) -> n_f9___5(Arg_0,Arg_1,Arg_2+1):|:Arg_2<=50 && Arg_2<=49
7:n_f9___6(Arg_0,Arg_1,Arg_2) -> n_f9___5(Arg_0,Arg_1,Arg_2+1):|:Arg_2<=49 && Arg_2<=49 && Arg_2<=50 && Arg_2<=49
8:n_f9___7(Arg_0,Arg_1,Arg_2) -> n_f9___6(Arg_0,Arg_1,Arg_2+1):|:Arg_2<=49 && Arg_2<=0 && 0<=Arg_2 && Arg_0<=0 && 0<=Arg_0 && Arg_2<=49 && Arg_2<=50 && Arg_2<=49
Preprocessing
Eliminate variables {NoDet0,Arg_1} that do not contribute to the problem
Found invariant Arg_2<=50 && Arg_2<=49+Arg_0 && Arg_0+Arg_2<=51 && 50<=Arg_2 && 51<=Arg_0+Arg_2 && 49+Arg_0<=Arg_2 && Arg_0<=1 && 1<=Arg_0 for location n_f17___3
Found invariant Arg_2<=50 && Arg_2<=50+Arg_0 && Arg_0+Arg_2<=50 && 2<=Arg_2 && 2<=Arg_0+Arg_2 && 2+Arg_0<=Arg_2 && Arg_0<=0 && 0<=Arg_0 for location n_f9___5
Found invariant Arg_2<=50 && Arg_2<=50+Arg_0 && Arg_0+Arg_2<=50 && 50<=Arg_2 && 50<=Arg_0+Arg_2 && 50+Arg_0<=Arg_2 && Arg_0<=0 && 0<=Arg_0 for location n_f17___4
Found invariant Arg_2<=0 && Arg_2<=Arg_0 && Arg_0+Arg_2<=0 && 0<=Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_0<=0 && 0<=Arg_0 for location n_f9___7
Found invariant Arg_2<=50 && Arg_2<=Arg_0 && Arg_0+Arg_2<=100 && 50<=Arg_2 && 100<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_0<=50 && 50<=Arg_0 for location n_f24___1
Found invariant Arg_2<=1 && Arg_2<=1+Arg_0 && Arg_0+Arg_2<=1 && 1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_0<=0 && 0<=Arg_0 for location n_f9___6
Found invariant Arg_2<=50 && Arg_2<=48+Arg_0 && Arg_0+Arg_2<=100 && 50<=Arg_2 && 52<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_0<=50 && 2<=Arg_0 for location n_f17___2
Problem after Preprocessing
Start: n_f0
Program_Vars: Arg_0, Arg_2
Temp_Vars:
Locations: n_f0, n_f17___2, n_f17___3, n_f17___4, n_f24___1, n_f9___5, n_f9___6, n_f9___7
Transitions:
18:n_f0(Arg_0,Arg_2) -> n_f9___7(0,0)
19:n_f17___2(Arg_0,Arg_2) -> n_f17___2(Arg_0+1,Arg_2):|:Arg_2<=50 && Arg_2<=48+Arg_0 && Arg_0+Arg_2<=100 && 50<=Arg_2 && 52<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_0<=50 && 2<=Arg_0 && Arg_0<=50 && Arg_0<=49
20:n_f17___2(Arg_0,Arg_2) -> n_f24___1(Arg_0,Arg_2):|:Arg_2<=50 && Arg_2<=48+Arg_0 && Arg_0+Arg_2<=100 && 50<=Arg_2 && 52<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_0<=50 && 2<=Arg_0 && Arg_0<=50 && 50<=Arg_0
21:n_f17___3(Arg_0,Arg_2) -> n_f17___2(Arg_0+1,Arg_2):|:Arg_2<=50 && Arg_2<=49+Arg_0 && Arg_0+Arg_2<=51 && 50<=Arg_2 && 51<=Arg_0+Arg_2 && 49+Arg_0<=Arg_2 && Arg_0<=1 && 1<=Arg_0 && Arg_0<=49 && Arg_0<=49 && Arg_0<=50 && Arg_0<=49
22:n_f17___4(Arg_0,Arg_2) -> n_f17___3(Arg_0+1,Arg_2):|:Arg_2<=50 && Arg_2<=50+Arg_0 && Arg_0+Arg_2<=50 && 50<=Arg_2 && 50<=Arg_0+Arg_2 && 50+Arg_0<=Arg_2 && Arg_0<=0 && 0<=Arg_0 && Arg_0<=49 && Arg_0<=49 && Arg_0<=50 && Arg_0<=0 && 0<=Arg_0 && 50<=Arg_2 && Arg_0<=49
23:n_f9___5(Arg_0,Arg_2) -> n_f17___4(0,Arg_2):|:Arg_2<=50 && Arg_2<=50+Arg_0 && Arg_0+Arg_2<=50 && 2<=Arg_2 && 2<=Arg_0+Arg_2 && 2+Arg_0<=Arg_2 && Arg_0<=0 && 0<=Arg_0 && Arg_2<=50 && 50<=Arg_2
24:n_f9___5(Arg_0,Arg_2) -> n_f9___5(Arg_0,Arg_2+1):|:Arg_2<=50 && Arg_2<=50+Arg_0 && Arg_0+Arg_2<=50 && 2<=Arg_2 && 2<=Arg_0+Arg_2 && 2+Arg_0<=Arg_2 && Arg_0<=0 && 0<=Arg_0 && Arg_2<=50 && Arg_2<=49
25:n_f9___6(Arg_0,Arg_2) -> n_f9___5(Arg_0,Arg_2+1):|:Arg_2<=1 && Arg_2<=1+Arg_0 && Arg_0+Arg_2<=1 && 1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_0<=0 && 0<=Arg_0 && Arg_2<=49 && Arg_2<=49 && Arg_2<=50 && Arg_2<=49
26:n_f9___7(Arg_0,Arg_2) -> n_f9___6(Arg_0,Arg_2+1):|:Arg_2<=0 && Arg_2<=Arg_0 && Arg_0+Arg_2<=0 && 0<=Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_0<=0 && 0<=Arg_0 && Arg_2<=49 && Arg_2<=0 && 0<=Arg_2 && Arg_0<=0 && 0<=Arg_0 && Arg_2<=49 && Arg_2<=50 && Arg_2<=49
MPRF for transition 24:n_f9___5(Arg_0,Arg_2) -> n_f9___5(Arg_0,Arg_2+1):|:Arg_2<=50 && Arg_2<=50+Arg_0 && Arg_0+Arg_2<=50 && 2<=Arg_2 && 2<=Arg_0+Arg_2 && 2+Arg_0<=Arg_2 && Arg_0<=0 && 0<=Arg_0 && Arg_2<=50 && Arg_2<=49 of depth 1:
new bound:
53 {O(1)}
MPRF:
n_f9___5 [51-Arg_2 ]
MPRF for transition 19:n_f17___2(Arg_0,Arg_2) -> n_f17___2(Arg_0+1,Arg_2):|:Arg_2<=50 && Arg_2<=48+Arg_0 && Arg_0+Arg_2<=100 && 50<=Arg_2 && 52<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_0<=50 && 2<=Arg_0 && Arg_0<=50 && Arg_0<=49 of depth 1:
new bound:
53 {O(1)}
MPRF:
n_f17___2 [51-Arg_0 ]
All Bounds
Timebounds
Overall timebound:113 {O(1)}
18: n_f0->n_f9___7: 1 {O(1)}
19: n_f17___2->n_f17___2: 53 {O(1)}
20: n_f17___2->n_f24___1: 1 {O(1)}
21: n_f17___3->n_f17___2: 1 {O(1)}
22: n_f17___4->n_f17___3: 1 {O(1)}
23: n_f9___5->n_f17___4: 1 {O(1)}
24: n_f9___5->n_f9___5: 53 {O(1)}
25: n_f9___6->n_f9___5: 1 {O(1)}
26: n_f9___7->n_f9___6: 1 {O(1)}
Costbounds
Overall costbound: 113 {O(1)}
18: n_f0->n_f9___7: 1 {O(1)}
19: n_f17___2->n_f17___2: 53 {O(1)}
20: n_f17___2->n_f24___1: 1 {O(1)}
21: n_f17___3->n_f17___2: 1 {O(1)}
22: n_f17___4->n_f17___3: 1 {O(1)}
23: n_f9___5->n_f17___4: 1 {O(1)}
24: n_f9___5->n_f9___5: 53 {O(1)}
25: n_f9___6->n_f9___5: 1 {O(1)}
26: n_f9___7->n_f9___6: 1 {O(1)}
Sizebounds
18: n_f0->n_f9___7, Arg_0: 0 {O(1)}
18: n_f0->n_f9___7, Arg_2: 0 {O(1)}
19: n_f17___2->n_f17___2, Arg_0: 50 {O(1)}
19: n_f17___2->n_f17___2, Arg_2: 50 {O(1)}
20: n_f17___2->n_f24___1, Arg_0: 50 {O(1)}
20: n_f17___2->n_f24___1, Arg_2: 50 {O(1)}
21: n_f17___3->n_f17___2, Arg_0: 2 {O(1)}
21: n_f17___3->n_f17___2, Arg_2: 50 {O(1)}
22: n_f17___4->n_f17___3, Arg_0: 1 {O(1)}
22: n_f17___4->n_f17___3, Arg_2: 50 {O(1)}
23: n_f9___5->n_f17___4, Arg_0: 0 {O(1)}
23: n_f9___5->n_f17___4, Arg_2: 50 {O(1)}
24: n_f9___5->n_f9___5, Arg_0: 0 {O(1)}
24: n_f9___5->n_f9___5, Arg_2: 50 {O(1)}
25: n_f9___6->n_f9___5, Arg_0: 0 {O(1)}
25: n_f9___6->n_f9___5, Arg_2: 2 {O(1)}
26: n_f9___7->n_f9___6, Arg_0: 0 {O(1)}
26: n_f9___7->n_f9___6, Arg_2: 1 {O(1)}