House Republican says Obama 'breaking the law' with Libya operation

Rooney said the Obama administration clearly failed to seek any authorization for operations that began in March. But he said that because there is an ongoing debate about the constitutionality of the War Powers Resolution, Obama is operating in a "zone of twilight" in which it is unclear whether authorization is needed.

As a result, Rooney said, Congress is left with the power of the purse, and has the option of defunding the mission.

Rooney's bill would allow the administration to continue activities related to search and rescue, intelligence, aerial refueling and operational planning. However, House Armed Services Committee ranking member Adam Smith (D-Wash.) said even these activities would not be able to go forward without the additional ability to protect U.S. service members and equipment.

"So the effect of this resolution is to again end the mission in Libya," Smith said.