We report the results of the CPLEAR experiment on CP-, T-, and CPT-symmetri
es in the neutral kaon system. CP-violation parameters are given for the K-
0, (K) over bar(0) --> 2 pi, 3 pi decay channels. For the first time, T-vio
lation is measured by a direct method using semileptonic decays. The CPT sy
mmetry is tested through the parameters Im(delta) with a precision of 10(-5
) and Re(delta) with a precision of a few 10(-4). With these two measuremen
ts, the difference in mass and width of K-0 and (K) over bar(0) are bound t
o within 10(-18) GeV. In the limit of CPT invariance in the neutral kaon de
cays, the K-0 and (K) over bar(0) masses are equal within 10(-19) GeV.