  In this work, we show that the well-known Bell test called
Clauser-Horne-Shimony-Holt (CHSH) does not only exhibit non-locality but also
the KCBS-type contextuality. For this purpose, we investigate the symmetric
subgroup of two-qubit states corresponding to qutrit states (three-level
quantum states), which exhibit the KCBS-type (non-)contextuality. Later, we
apply the CHSH test to them and find a new non-contextuality bound for this
test. This shows us that the CHSH inequality can be modified by changing the
limit to use it as a KCBS-type contextuality test. Also, the number of
measurements required is four, less than the number of measurements in the KCBS
test (That is five).
