Bray's multiple-end Penrose conjecture

Let $(M^3,g,h)$ be complete, asymptotically flat Cauchy data with $\mu \ge |J|$ and more than one end. Choose one end as special, and let $A$ be the minimum area required to enclose all the other ends. Let $m$ be the total mass of the chosen end. Bray's multiple-end Penrose conjecture. Then

$$m \ge \sqrt{A/16\pi}.$$

This formulation uses trapped surfaces in the nonspecial ends to motivate an event horizon enclosing those ends. The supplied text does not establish whether the conjecture has been resolved.