The legal battle between Facebook Inc. and the parody site Lamebook is heating up.

Facebook Inc. has filed a trademark infringement suit against Lamebook, which mocks the funny and “lame” things people post on Facebook, in federal court in San Jose. Lawyers for Cooley in San Francisco and Palo Alto filed the suit on Nov. 8, four days after Lamebook sued the social networking site in federal court in Austin seeking a declaration that it doesn’t infringe Facebook’s trademarks.