The log abundance conjecture for projective lc pairs

Let $(X,B)$ be a projective lc pair. The divisor $K_X+B$ is assumed to be pseudo-effective, meaning that its numerical class lies in the closure of the cone generated by effective divisors. Log abundance conjecture. If $K_X+B$ is pseudo-effective, then $(X,B)$ has a good minimal model.

This is the log-pair form of abundance and concerns the existence of a minimal model whose log canonical divisor is semiample. The supplied text does not state a resolution of this conjecture in general.