The full Mordell–Lang conjecture in positive characteristic

Let $L$ be an algebraically closed field of positive characteristic. Let $A$ be a semiabelian variety over $L$, let $X\subset A$ be an irreducible subvariety, and let $\Gamma\subset A(L)$ be a subgroup of finite rank. The full Mordell–Lang conjecture. If $X(L)\cap\Gamma$ is Zariski dense in $X$, then $X$ is a special subvariety of $A$. This is the full Mordell–Lang conjecture in positive characteristic; the source states that it remains open in general, while proving reductions in the ordinary and supersingular abelian cases.