  Recently, Gallego et.al. [Phys. Rev. Lett 107, 210403 (2011)] proved that any
future information principle aiming at distinguishing between quantum and
post-quantum correlation must be intrinsically multipartite in nature. We
establish similar result by using device independent success probability of
Hardy's nonlocality argument for tripartite quantum system. We construct an
example of a tri-partite Hardy correlation which is post-quantum but satisfies
not only all bipartite information principle but also the GYNI inequality.
