  It was suggested that a tension between the mass-squared differences obtained
from the solar neutrino and KamLAND experiments can be solved by introducing
the non-standard flavor-dependent interaction in neutrino propagation. In this
paper we discuss the possibility to test such a hypothesis by atmospheric
neutrino observations at the future Hyper-Kamiokande experiment. Assuming that
the mass hierarchy is known, we find that the best-fit value from the solar
neutrino and KamLAND data can be tested at more than 8 $\sigma$, while the one
from the global analysis can be examined at 5.0 $\sigma$ (1.4 $\sigma$) for the
normal (inverted) mass hierarchy.
