Initial Problem

Start: n_f0
Program_Vars: Arg_0, Arg_1
Temp_Vars: NoDet0
Locations: n_f0, n_f14___1, n_f6___2, n_f6___3, n_f6___4
Transitions:
0:n_f0(Arg_0,Arg_1) -> n_f6___4(0,NoDet0)
1:n_f6___2(Arg_0,Arg_1) -> n_f14___1(Arg_0,Arg_1):|:Arg_0<=50 && 50<=Arg_0
2:n_f6___2(Arg_0,Arg_1) -> n_f6___2(Arg_0+1,Arg_1):|:Arg_0<=50 && Arg_0<=49
3:n_f6___3(Arg_0,Arg_1) -> n_f6___2(Arg_0+1,Arg_1):|:Arg_0<=49 && Arg_0<=49 && Arg_0<=50 && Arg_0<=49
4:n_f6___4(Arg_0,Arg_1) -> n_f6___3(Arg_0+1,Arg_1):|:Arg_0<=49 && Arg_0<=0 && 0<=Arg_0 && Arg_0<=49 && Arg_0<=50 && Arg_0<=49

Preprocessing

Eliminate variables {NoDet0,Arg_1} that do not contribute to the problem

Found invariant Arg_0<=1 && 1<=Arg_0 for location n_f6___3

Found invariant Arg_0<=0 && 0<=Arg_0 for location n_f6___4

Found invariant Arg_0<=50 && 50<=Arg_0 for location n_f14___1

Found invariant Arg_0<=50 && 2<=Arg_0 for location n_f6___2

Problem after Preprocessing

Start: n_f0
Program_Vars: Arg_0
Temp_Vars:
Locations: n_f0, n_f14___1, n_f6___2, n_f6___3, n_f6___4
Transitions:
10:n_f0(Arg_0) -> n_f6___4(0)
11:n_f6___2(Arg_0) -> n_f14___1(Arg_0):|:Arg_0<=50 && 2<=Arg_0 && Arg_0<=50 && 50<=Arg_0
12:n_f6___2(Arg_0) -> n_f6___2(Arg_0+1):|:Arg_0<=50 && 2<=Arg_0 && Arg_0<=50 && Arg_0<=49
13:n_f6___3(Arg_0) -> n_f6___2(Arg_0+1):|:Arg_0<=1 && 1<=Arg_0 && Arg_0<=49 && Arg_0<=49 && Arg_0<=50 && Arg_0<=49
14:n_f6___4(Arg_0) -> n_f6___3(Arg_0+1):|:Arg_0<=0 && 0<=Arg_0 && Arg_0<=49 && Arg_0<=0 && 0<=Arg_0 && Arg_0<=49 && Arg_0<=50 && Arg_0<=49

MPRF for transition 12:n_f6___2(Arg_0) -> n_f6___2(Arg_0+1):|:Arg_0<=50 && 2<=Arg_0 && Arg_0<=50 && Arg_0<=49 of depth 1:

new bound:

53 {O(1)}

MPRF:

n_f6___2 [51-Arg_0 ]

All Bounds

Timebounds

Overall timebound:57 {O(1)}
10: n_f0->n_f6___4: 1 {O(1)}
11: n_f6___2->n_f14___1: 1 {O(1)}
12: n_f6___2->n_f6___2: 53 {O(1)}
13: n_f6___3->n_f6___2: 1 {O(1)}
14: n_f6___4->n_f6___3: 1 {O(1)}

Costbounds

Overall costbound: 57 {O(1)}
10: n_f0->n_f6___4: 1 {O(1)}
11: n_f6___2->n_f14___1: 1 {O(1)}
12: n_f6___2->n_f6___2: 53 {O(1)}
13: n_f6___3->n_f6___2: 1 {O(1)}
14: n_f6___4->n_f6___3: 1 {O(1)}

Sizebounds

10: n_f0->n_f6___4, Arg_0: 0 {O(1)}
11: n_f6___2->n_f14___1, Arg_0: 50 {O(1)}
12: n_f6___2->n_f6___2, Arg_0: 50 {O(1)}
13: n_f6___3->n_f6___2, Arg_0: 2 {O(1)}
14: n_f6___4->n_f6___3, Arg_0: 1 {O(1)}