Draganić–Keevash–Müyesser conjecture on induced $K_r$-factors

Let $r\geq 2$, and let $G$ be an $((r-1)n+1)$-regular graph on $rn$ vertices. A subset $S\subseteq V(G)$ is said to induce a $K_r$-factor when $G[S]$ contains a collection of vertex-disjoint copies of $K_r$ covering all vertices of $G[S]$. Draganić–Keevash–Müyesser conjecture. There is a constant $c>0$ such that at least $c2^{rn}$ subsets of $V(G)$ induce a $K_r$-factor. The conjecture is resolved by the result stated in the paper for sufficiently large $n$, while the abstract says that this confirms the conjecture for large $n$.