Fortissimo Space is not Metrizable

Theorem
Let $T = \left({S, \tau_p}\right)$ be a Fortissimo space.

Then $\tau_p$ is not a metrizable topology.

Proof
From Metric Space is First-Countable and Fortissimo Space Not First-Countable, it is deduced that $T$ is not a metrizable topology.