A data sample of 1.7 fb$^{-1}$ has been analyzed by the KLOE experiment at
DA$\Phi$NE to study the distribution of the difference in the kaon decay times $\Delta t$, of
$\phi\rightarrow K_S K_L\rightarrow\pi^+\pi^- \,\,\, \pi^{\pm} e^{\mp} \nu$ and
$\phi\rightarrow K_S K_L\rightarrow \pi^{\pm} e^{\mp} \nu \,\,\, \pi^{0} \pi^0 \pi^0$.
Tests of T, CP and CPT symmetries in the neutral kaon system are performed by direct comparison of the probabilities of a kaon transition process and the symmetry-conjugate transition. The exchange of "in" and "out" states required for genuine T and CPT tests
is fulfilled exploiting the entanglement of kaon pairs produced at the $\phi$-factory.
We were able, by the comparison of the measured $\Delta t$ distributions in the asymptotic region $\Delta t \gg \tau_S$, to directly test for the first time T and CPT symmetries in kaon transitions with a few percent precision and to observe CP violation in transitions from CP odd eigenstates to flavour eigenstates, $K^0$ and $\overline K^0$.