There is a conjecture on $P\overset{?}{=}PSPACE$ in computational complexity zoo. It is a widespread belief that $P\neq PSPACE$, otherwise $P=NP$ which is extremely impossible. In this short work, we assert that $P\neq PSPACE$ no matter what outcome is on $P\overset{?}{=}NP$. We accomplishe this via showing $NP\neq PSPACE$. The method is by the result that Circuit-SAT is $\leq_{\log}$--complete for $NP$, Circuit-SAT$\in DSPACE[n]$, the known result $DSPACE[n^c]\subset DSPACE[n^{2c}]$ (indicated by the space complexity hierarchy theorem) and the fact that $PSPACE$ is the union set of all $DSPACE[n^k]$ where $k\in\mathbb{N}$. Closely related consequences are summarized.
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