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He said the president spawned an “open rebellion” in the House by not consulting more with Congress and by taking what Mr. Graham called a half-in, half-out approach. But he said Mr. Obama’s handling should not push lawmakers away from aiding NATO allies and trying to preserve progress in what has become known as the Arab Spring.

He also said having Congress manage the war through resolutions is unconstitutional, and bad policy.

“It’s better to have one commander in chief than it is to have 535,” Mr. Graham said. “The last thing I want to do is create a model that would basically infringe on the commander in chief, whoever he or she may be, to protect this country. There is a reason Congress’ role is limited to funding and declaring war.”

Mr. Kucinich acknowledged a stalemate in Congress but said public opinion, which is trending against the war, will begin to constrain Mr. Obama’s troop deployment.

He also warned the White House not to interpret disparate votes in Congress as an endorsement.

“The fact that the House may be going one way and the Senate another still does not constitute a de facto approval of the war; as a matter of fact, it’s the opposite,” he said. “They both have to concur and they don’t, so what you’re left with at the end is a war that’s not authorized, and a war that’s contrary to the Constitution of the United States.”