The House of Representatives is primarily a law-making institution. It also provides accountability to the Executive Branch (read "The President"), or as they like to call it, "oversight."
The Obama Administration is apparently content to not cooperate with the Republican-led House of Representatives concerning the War Powers Act as it applies to Libya. This, of course, could take years to resolve in court. Conversely, the House has the power of subpoena and refusal to cooperate earns the Contempt of Congress, which is a crime. Lying to Congress under oath is perjury and carries the same legal ramification as lying under oath in court.
Congressman Buck McKeon of California is the Chairman of the House Armed Services Committee. Congressman, subpoena the top lawyers of the Office of Legal Counsel. Make them defend the indefensible under oath. "Kick it up a notch."