Initial Problem

Start: n_f0
Program_Vars: Arg_0
Temp_Vars:
Locations: n_f0, n_f1___1, n_f1___2, n_f1___3
Transitions:
0:n_f0(Arg_0) -> n_f1___3(300)
1:n_f1___1(Arg_0) -> n_f1___1(Arg_0-1):|:101<=Arg_0 && 102<=Arg_0
2:n_f1___2(Arg_0) -> n_f1___1(Arg_0-1):|:102<=Arg_0 && 102<=Arg_0 && 101<=Arg_0 && 102<=Arg_0
3:n_f1___3(Arg_0) -> n_f1___2(Arg_0-1):|:102<=Arg_0 && Arg_0<=300 && 300<=Arg_0 && 102<=Arg_0 && 101<=Arg_0 && 102<=Arg_0

Preprocessing

Found invariant Arg_0<=299 && 299<=Arg_0 for location n_f1___2

Found invariant Arg_0<=300 && 300<=Arg_0 for location n_f1___3

Found invariant Arg_0<=298 && 101<=Arg_0 for location n_f1___1

Problem after Preprocessing

Start: n_f0
Program_Vars: Arg_0
Temp_Vars:
Locations: n_f0, n_f1___1, n_f1___2, n_f1___3
Transitions:
0:n_f0(Arg_0) -> n_f1___3(300)
1:n_f1___1(Arg_0) -> n_f1___1(Arg_0-1):|:Arg_0<=298 && 101<=Arg_0 && 101<=Arg_0 && 102<=Arg_0
2:n_f1___2(Arg_0) -> n_f1___1(Arg_0-1):|:Arg_0<=299 && 299<=Arg_0 && 102<=Arg_0 && 102<=Arg_0 && 101<=Arg_0 && 102<=Arg_0
3:n_f1___3(Arg_0) -> n_f1___2(Arg_0-1):|:Arg_0<=300 && 300<=Arg_0 && 102<=Arg_0 && Arg_0<=300 && 300<=Arg_0 && 102<=Arg_0 && 101<=Arg_0 && 102<=Arg_0

MPRF for transition 1:n_f1___1(Arg_0) -> n_f1___1(Arg_0-1):|:Arg_0<=298 && 101<=Arg_0 && 101<=Arg_0 && 102<=Arg_0 of depth 1:

new bound:

298 {O(1)}

MPRF:

n_f1___1 [Arg_0 ]

All Bounds

Timebounds

Overall timebound:301 {O(1)}
0: n_f0->n_f1___3: 1 {O(1)}
1: n_f1___1->n_f1___1: 298 {O(1)}
2: n_f1___2->n_f1___1: 1 {O(1)}
3: n_f1___3->n_f1___2: 1 {O(1)}

Costbounds

Overall costbound: 301 {O(1)}
0: n_f0->n_f1___3: 1 {O(1)}
1: n_f1___1->n_f1___1: 298 {O(1)}
2: n_f1___2->n_f1___1: 1 {O(1)}
3: n_f1___3->n_f1___2: 1 {O(1)}

Sizebounds

0: n_f0->n_f1___3, Arg_0: 300 {O(1)}
1: n_f1___1->n_f1___1, Arg_0: 297 {O(1)}
2: n_f1___2->n_f1___1, Arg_0: 298 {O(1)}
3: n_f1___3->n_f1___2, Arg_0: 299 {O(1)}