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We present a novel method to perform a direct T (time reversal) symmetry testin the neutral kaon system, independent of any CP and/or CPT symmetry tests.This is based on the comparison of suitable transition probabilities, where therequired interchange of in <-> out states for a given process is obtainedexploiting the Einstein-Podolsky-Rosen correlations of neutral kaon pairsproduced at a $\phi$-factory. In the time distribution between the two decays,we compare a reference transition like the one defined by the time ordereddecays $(\ell^-,\pi\pi)$ with the T -conjugated one defined by $(3\pi^0,\ell^+)$. With the use of this and other T conjugated comparisons, the KLOE-2experiment at DA$\Phi$NE could make a significant test.

Direct test of time-reversal symmetry in the entangled neutral kaon system at a $\phi$-factory