Initial Problem

Start: n_f3
Program_Vars: Arg_0
Temp_Vars:
Locations: n_f1___1, n_f3
Transitions:
0:n_f1___1(Arg_0) -> n_f1___1(Arg_0-1):|:0<=Arg_0 && 0<=Arg_0 && 1<=Arg_0
1:n_f3(Arg_0) -> n_f1___1(Arg_0):|:0<=Arg_0

Preprocessing

Found invariant 0<=Arg_0 for location n_f1___1

Problem after Preprocessing

Start: n_f3
Program_Vars: Arg_0
Temp_Vars:
Locations: n_f1___1, n_f3
Transitions:
0:n_f1___1(Arg_0) -> n_f1___1(Arg_0-1):|:0<=Arg_0 && 0<=Arg_0 && 0<=Arg_0 && 1<=Arg_0
1:n_f3(Arg_0) -> n_f1___1(Arg_0):|:0<=Arg_0

MPRF for transition 0:n_f1___1(Arg_0) -> n_f1___1(Arg_0-1):|:0<=Arg_0 && 0<=Arg_0 && 0<=Arg_0 && 1<=Arg_0 of depth 1:

new bound:

Arg_0+1 {O(n)}

MPRF:

n_f1___1 [Arg_0+1 ]

All Bounds

Timebounds

Overall timebound:Arg_0+2 {O(n)}
0: n_f1___1->n_f1___1: Arg_0+1 {O(n)}
1: n_f3->n_f1___1: 1 {O(1)}

Costbounds

Overall costbound: Arg_0+2 {O(n)}
0: n_f1___1->n_f1___1: Arg_0+1 {O(n)}
1: n_f3->n_f1___1: 1 {O(1)}

Sizebounds

0: n_f1___1->n_f1___1, Arg_0: Arg_0 {O(n)}
1: n_f3->n_f1___1, Arg_0: Arg_0 {O(n)}