The NSW greyhound racing industry is seeking to have a damning report that led the Baird government to announce the sport's closure declared "invalid and of no legal effect" in its first court challenge to the decision.

Documents filed in the Supreme Court on Friday argue the Special Commission of Inquiry report by former High Court judge Michael McHugh should be disregarded.

The report found as many as 68,000 greyhounds were slaughtered as "wastage" in the past 12 years "because they were considered too slow to pay their way or were unsuitable for racing".

It recommended the NSW Parliament decide whether the industry has lost its social licence and should be no longer able to operate.