The United States Soccer Federation and the members of its World Cup champion women’s national team each proposed a way out of their bitter equal pay lawsuit in court filings late Thursday night.

The federation sought to avoid a looming gender discrimination trial by asking the judge to dismiss the players’ claim. The women’s players also asked for a pretrial decision, but on far different terms: They are seeking almost $67 million — and potentially millions more — in back pay and damages.

The diametrically opposed motions, filed Thursday in federal court in California before a midnight deadline, showed just how far apart the players and U.S. Soccer remain not only in what they consider a fair outcome but also in their basic concepts of what constitutes equal pay despite years of litigation, depositions, public relations campaigns and — amid it all — two straight World Cup championships.

The judge, R. Gary Klausner of United States District Court for the Central District of California, can choose either solution, called a motion for summary judgment, and render moot a trial that he has set to begin in May. But while Klausner appeared to support some of the women’s claims about unequal pay and working conditions when he granted the players class-action status in November, both the players and U.S. Soccer expect him to allow the case to proceed to trial rather than pick a winner now on one side’s terms.