Good minimal model conjecture for dlt pairs

Let $(X,\Delta)$ be a $\mathbb Q$-factorial projective dlt pair, and assume that $K_X+\Delta$ is pseudo-effective. Good minimal model conjecture. The pair $(X,\Delta)$ has a good minimal model.

This conjecture is stated as an equivalent formulation of generalized abundance in bounded dimension. It concerns the existence of good minimal models for pseudo-effective dlt pairs and remains open in the generality stated.