I suspect if the disagreement is in Epic refusing to commit to honoring a contract and the CEO referring to it as requiring "sworn fealty", the actual resolution would be for Apple to show the actual harm in a marketplace violating said contract.

From there a lot of things can happen to negotiate a resolution, such as negotiating penalties for not following said contract.

I don't think Epic will be able to convince a court that there is no resolution when Apple has already said before and now what they would require for Epic to resume their business relationship with Apple.