Answer
The system is consistent
Work Step by Step
Let $p$ denote "The router can send packets to the edge system"
Let $q$ denote "The router supports the new address space"
Let $r$ denote "The latest software release is installed".
The system specification are as follows:
The router can send packets to the edge system only if it supports the new address space - $q \to p$
For the router to support the new address space it is necessary that the latest software release be installed. - $q \to r$
The router can send packets to the edge system if the latest software release is installed - $r \to p$
The router does not support the new address space $\neg q$
Looking at the last statement, it is clear $q$ has to be false.
If we observe the first three statements it is clear that $p$ and $r$ being true also result in all these statements being true. (in $p \to q$, if q is true, the statement is true)
Therefore, the system is consistent for $p, r$ being true and $q$ being false.
