“Petraeus made the mistake of thinking he was still dealing with George Bush instead of with Barack Obama.”

But Obama informed Gates, Petraeus and Joint Chiefs Chairman Admiral Mike Mullen that he wasn’t convinced and wanted Gates and the military leaders to come back quickly with a detailed 16-month plan, according to two sources who have talked with participants in the meeting.

Obama’s decision to override Petraeus’ recommendation has not ended the conflict between the president and senior military officers over troop withdrawal, however. There are indications that Petraeus and his allies in the military and the Pentagon, including General Ray Odierno, now the top commander in Iraq, have already begun to try to pressure Obama to change his withdrawal policy.