  In this paper we will show that there does not exist a distance-regular graph
$\Gamma$ with intersection array $\{80, 54,12; 1, 6, 60\}$. We first show that
a local graph $\Delta$ of $\Gamma$ does not contain a coclique with 5 vertices,
and then we prove that the graph $\Gamma$ is geometric by showing that $\Delta$
consists of 4 disjoint cliques with 20 vertices. Then we apply a result of
Koolen and Bang to the graph $\Gamma$, and we could obtain that there is no
such a distance-regular graph.
