  We consider a two-particle/two-setting Bell experiment to visualize the
conflict between Bell-\.Zukowski inequality and Bell-Mermin inequality. The
experiment is reproducible by local realistic theories which are not
rotationally invariant. We found that the average value of the Bell-\.Zukowski
operator can be evaluated only by the two-particle/two-setting Bell experiment
in question. The Bell-\.Zukowski inequality reveals that the constructed local
realistic models for the experiment are not rotationally invariant. That is,
the two-particle Bell experiment in question reveals the conflict between
Bell-\.Zukowski inequality and Bell-Mermin inequality. Our analysis has found
the threshold visibility for the two-particle interference to reveal the
conflict noted above. It is found that the threshold visibility agrees with the
value to obtain a violation of the Bell-\.Zukowski inequality.
