  In this paper, we present a study to measure the differences between the
atmospheric neutrino and anti-neutrino oscillations in the Iron-Calorimeter
detector at the India-based Neutrino Observatory experiment. Charged Current
$\nu_{\mu}$ and $\overline{\nu}_{\mu}$ interactions with the detector under the
influence of earth matter effect have been simulated for ten years of exposure.
The observed $\nu_{\mu}$ and $\overline{\nu}_{\mu}$ events spectrum are
separately binned into direction and energy bins, and a $\chi^{2}$ is minimised
with respect to each bin to extract the oscillation parameters for $\nu_{\mu}$
and $\overline{\nu}_{\mu}$ separately. We then present the ICAL sensitivity to
confirm a non-zero value of the difference in atmospheric mass squared of
neutrino and anti-neutrino i.e. $|\Delta
m^{2}_{32}|-|\Delta\overline{m^{2}}_{32}|$.
