Let $X$ be a Calabi-Yau variety over $K$ and let $\mathscr{X}$ be a good dlt-model of $X$ over $R$ such that $\mathscr{X}_{k}$ is reduced. Assume that $K_{\mathscr{X}/R}\sim 0$. Let $N$ be a positive integer. Then we can find a smooth pointed $k$-curve $(S,s)$ and a normal proper flat $S$-scheme $\mathscr{Y}$ such that the following properties hold:

1. (1)

   there exist an isomorphism of $k$-algebras $\widehat{\mathcal{O}}_{S,s}\cong R$ and an isomorphism of $R$-schemes

   $$\mathscr{X}\times_{R}R/(t^{N})\to\mathscr{Y}\times_{S}\mathrm{Spec}\,(R/t^{N});$$

2. (2)

   the morphism $\mathscr{Y}\to S$ has geometrically connected fibers, and its restriction over $S\setminus\{s\}$ is smooth with trivial relative canonical line bundle;

3. (3)

   the pair $(\mathscr{Y},\mathscr{Y}_{s})$ is dlt, every prime component of $\mathscr{Y}_{s}$ is $\mathbb{Q}$-Cartier, and $K_{\mathscr{Y}/S}\sim 0$.