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“He is still subject to the Uniform Code of Military Justice. He could be asked to testify as a former senior official, and if he refuses — which I don’t think he would — he could be subpoenaed,” said the staffer, who is the director of a House subcommittee.

Mr. Chambliss said that, in the meantime, it is “fine” for Mr. Morrell to testify in Mr. Petraeus‘ place at Thursday’s classified hearing, along with Director of National Intelligence James Clapper and Matthew Olson, the head of the National Counterterrorism Center.

Mr. Morrell “certainly was there when all the decisions were made relative to Benghazi,” the senator said.
Mrs. Feinstein also ruled out any connection between Mr. Petraeus‘ resignation and its postelection disclosure, and political fallout from the Benghazi incident. For several days after the attack, administration officials said it emerged from spontaneous protests, not terrorists.

There was “absolutely not” any connection to Benghazi, Mrs. Feinstein said. “And, I think if you really think this thing out, you will — everybody will come to that same conclusion.”

But Rep. Peter T. King, New York Republican and chairman of the House Homeland Security Committee, told CNN’s “State of the Union” that the details leaked to the media so far do not makes sense to him.

“It seems this [investigation] has been going on for several months, and yet now it appears that they’re saying the FBI did not realize until Election Day that Gen. Petraeus was involved. It just doesn’t add up,” said Mr. King, who also is a member of the House Permanent Select Committee on Intelligence. “I have real questions about this. I think the timeline has to be looked at.”

Mr. Petraeus has been married 38 years to Holly Petraeus, with whom he has two adult children, including a son who led an infantry platoon in Afghanistan as an Army lieutenant.

Mrs. Broadwell, a 40-year-old graduate of the U.S. Military Academy at West Point, N.Y., and an Army Reserve officer, is married with two young sons.

Mrs. Broadwell has not responded to multiple emails and phone messages.

Attempts to reach Ms. Kelley were not immediately successful, AP reported.

This article is based in part on wire service reports.