
** FILE ** Rex W. Tillerson is chairman and chief executive officer of Exxon Mobil Corp. (AP Photo/Mike Stone)

** FILE ** Rex W. Tillerson is chairman and chief executive officer of Exxon Mobil Corp. (AP Photo/Mike Stone)

Iraq's Prime Minister Nouri al-Maliki (seen here) and ExxonMobil Chairman and CEO Rex Tillerson met Monday in Baghdad, possibly signaling a resolution of the country's dispute with America's largest oil company. (Associated Press)

Iraq's Prime Minister Nouri al-Maliki (seen here) and ExxonMobil Chairman and CEO Rex Tillerson met Monday in Baghdad, possibly signaling a resolution of the country's dispute with America's largest oil company. (Associated Press)

ASSOCIATED PRESS/RIA NOVOSTI ExxonMobil CEO Rex W. Tillerson (left) and Russian Prime Minister Vladimir Putin appear together Tuesday in Sochi, Russia, at a signing ceremony for a deal between Russia's Rosneft oil company and ExxonMobil to develop oil fields in the Russian Arctic. Rosneft will gain some U.S. oil-field access.

ROD LAMKEY JR./THE WASHINGTON TIMES John Watson, chief executive officer of Chevron Corp. (left); Marvin Odum, U.S. president of Shell Oil (second from left); H. Lamar McKay, chairman and president of BP America Inc. (third from left); James Mulva, chief executive officer of Conoco Phillips (second from right); and Rex Tillerson, chairman and chief executive officer of Exxon Mobil Corp., testify during a Senate hearing on oil- and gas-tax incentives and rising energy prices on Capitol Hill on Thursday.

ConocoPhillips CEO James Mulva (left) and ExxonMobil CEO Rex Tillerson gather their things on Capitol Hill in Washington on Thursday, May 12, 2011, after testifying before the Senate Finance Committee. (AP Photo/Alex Brandon)