Is the CIA working in Benghazi?

Has the CIA been using Benghazi as a base to detain Libyans? An allegation that came to light during a speech by Paul Broadwell, who had an affair with now former CIA director David Petraeus. A CIA spokesperson says, "The CIA has not had detention authority since January 2009, when Executive Order 13491 was issued. Any suggestion that the Agency is still in the detention business is uninformed and baseless."