  We consider AdS black planar black hole in the four-dimensional
Einstein-Maxwell-Horndeski theory with two free axions and analyse the
thermodynamics of the black hole. We calculate the holographic thermoelectric
conductivities of the dual field theory and determine the ratio of thermal
conductivity over the temperature. At low temperature with zero electric
current, we find that the ratio is proportional to temperature squared and
hence can arbitrarily approach zero, providing an example that violates the
thermal conductivity bound proposed in [arXiv:1511.05970].
