Yeah but they have until Jun 1...thats 2 weeks from now
Or what?
Both a rhetorical and a real question - I haven't see the order or even a detailed description of it.
A few phone calls and emails, and a couple of four digit checks will get you a mediation session. Or the judge could have ordered the mediation to take place in front of a magistrate who could exert a bit more psychological pressure on the parties.
Then they will either get to a deal (I wouldn't be optimistic) or the mediator can report back one of two things - the parties mediated in good faith and couldn't reach a deal, or one of the parties didn't act in good faith. At that point, the ball is back in the judge's court.