Existence of Semiregular Topological Space which is not Urysohn Space

Theorem
There exists at least one example of a semiregular topological space which is not a Urysohn space.

Proof
Let $T$ be an Arens square.

From Arens Square is Semiregular, $T$ is a semiregular space.

From Arens Square is not Urysohn Space, $T$ is not a Urysohn space.

Hence the result.