Like any president when faced with competing authority from Congress over military decisions, President Obama notified Congress about our forces being left behind in Jordan in a manner "consistent with" the War Powers Resolution.
Note that the president does not say he is notifying Congress "pursuant to" or "in compliance with" the resolution in his notice to Congress about leaving forces in Jordan after Eager Lion exercises. The president does not cede any constitutional power to Congress with this wording even as he goes along with Congress' expressed view on the war power issue.
Given that the president never even did this much in regard to the Libya War--by denying we were in a war or war-like situation that would fall under the War Powers Resolution--what is planned now?