The NFL is seeking to have the appeals of the Redskins’ and the Cowboys’ salary-cap penalties dismissed, according a report Friday by the Washington Post, following up on an earlier report by ProFootballTalk.com.

The league reduced the salary cap of the Redskins by $36 million over two years and the cap of the Cowboys by $10 million over two years because it claims the two teams unfairly manipulated the salary cap by loading players’ salaries into the uncapped year of 2010. The team owners voted 29-2 to impose the penalties, with the Redskins and Cowboys voting against the punishment and the Buccaneers abstaining.

The NFL contends that the teams have no basis for contesting the penalties because the NFL Players Association agreed to them, and it is asking the arbitrator with jurisdiction over aspects of the Collective Bargaining Agreement, University of Pennsylvania law professor Stephen Burbank, to dismiss the teams’ appeals because of that. A hearing in the case is scheduled for May 10.

According to sources familiar with the case, the Post reported, the Redskins and Cowboys did not violate any salary-cap rule but rather tried to gain a competitive advantage by shifting player salaries from capped seasons into the one uncapped year. The two teams are appealing the penalties because they violated no rules.