  In 1975 Stein conjectured that in every $n\times n$ array filled with the
numbers $1, \dots, n$ with every number occuring exactly $n$ times, there is a
partial transversal of size $n-1$. In this note we show that this conjecture is
false by constructing such arrays without partial transverals of size
$n-\frac{1}{42}\ln n$.
