  We study a new example of lattice equation being one of the key equations of
a recent generalized symmetry classification of five-point
differential-difference equations. This equation has two different continuum
limits which are the well-known fifth order partial-differential equations,
namely, the Sawada-Kotera and Kaup-Kupershmidt equations. We justify its
integrability by constructing an $L-A$ pair and a hierarchy of conservation
laws.
