They're not 'refusing to cooperate' in the sense of just ignoring the court or something. They'll file a motion to have the order lifted, with their reasons. If

They're not 'refusing to cooperate' in the sense of just ignoring the court or something. They'll file a motion to have the order lifted, with their reasons. If that's refused, they'll presumably appeal the refusal to a higher court, and so on, to the max extent they can. That's not being obstructionist, it's their legal right.