  We study breakdown of $CPT$ symmetry which can occur in the decay process $B
\bar B \to l^\pm X^\mp f$ with $f$ being a CP eigenstate. In this process, the
standard model expectations for time ordered semi-leptonic and hadronic events,
i.e. which of the two decays takes place first, can be altered in the case that
there is a violation of the $CPT$ symmetry. To illustrate this possibility, we
identify and study several time integrated observables. We find that an
experiment with $10^{9}$ $B\bar B$ pairs, has the capability for improving the
bound on $CPT$ violating parameter or perhaps observe $CPT$ violation.
