(2.2.2) We say that a $dlt$-model $\mathscr{X}$ of $X$ is a good minimal model if $\mathscr{X}$ is $\mathbb{Q}$-factorial and $K_{\mathscr{X}}+(\mathscr{X}_{s})_{\mathrm{red}}$ is semi-ample over $\mathscr{C}$.