A group of Republican senators introduced a bill to repeal ObamaCare if the law results in an increase in uninsured people.

Sen. Thad CochranWilliam (Thad) Thad CochranChamber of Commerce makes play in Mississippi Senate race for Hyde-Smith Shelby approved as Appropriations panel chairman Cindy Hyde-Smith sworn in as Mississippi's latest senator MORE (R-Miss.) introduced the Health Insurance Accountability Act, S. 1894, on Friday. His bill would repeal ObamaCare if the Government Accountability Office (GAO) finds that the number of uninsured at any point after Jan. 1, 2014, is greater than the number of uninsured at the time the law was enacted in March 2010.

“The point of this legislation is to hold the president and his administration accountable for this law and its disastrous implementation,” Cochran said. “There is no reason individuals, families and businesses should continue to be subjected to such a gigantic, intrusive and expensive experiment if the law is not even accomplishing its primary goals. If it’s not working and can’t be fixed, get rid of it.”

Republicans have complained that mandates under the Affordable Care Act have caused millions of people to loose the health insurance they had and liked because the plans didn’t meet new coverage requirements under the law.

Last week, the administration announced that the nearly 5 million people who lost their health insurance because of ObamaCare mandates would be exempt from purchasing policies through the exchange and would be allowed to buy private-sector catastrophic coverage without being penalized. Cochran said this move proves the administration is “second-guessing” its signature law.

“The president is again trying to salvage his signature achievement by twisting the law to mask its flaws,” Cochran said. “Millions have lost their health insurance because of the Affordable Care Act and now the administration is second-guessing its own support of minimum health standards, a cornerstone of the law.”

Sens. Roger Wicker (R-Miss.), John Barrasso (R-Wyo.), Richard Burr (R-N.C.), Saxby Chambliss (R-Ga.), Mike Enzi (R-Wyo.), James Inhofe (R-Okla.) and Pat Roberts (R-Kan.) are co-sponsoring the bill.