They are Majority Leader Eric CantorEric CantorTrump nominates two new DOD officials Brat: New ObamaCare repeal bill has 'significant' changes Overnight Energy: Flint lawmaker pushes EPA for new lead rule MORE (Va.), Budget Committee Chairman Paul RyanPaul RyanRepublicans won't vote on ObamaCare repeal bill this week Overnight Finance: Dems explore lawsuit against Trump | Full-court press for Trump tax plan | Clock ticks down to spending deadline Senate's No. 2 Republican: Border tax 'probably dead' MORE (Wis.), Appropriations Committee Chairman Hal Rogers (Ky.), Ways & Means Committee Chairman Dave Camp (Mich.), and Reps. John Carter (Texas), Ander Crenshaw (Fla.), Rodney FrelinghuysenRodney FrelinghuysenOvernight Finance: Dems explore lawsuit against Trump | Full-court press for Trump tax plan | Clock ticks down to spending deadline McConnell: Senate will pass short-term funding bill to avoid shutdown Lawmakers push one-week stopgap funding bill MORE (N.J.) and Tom GravesTom GravesHealth talks dominate Ryan meeting Dems seek more money for IRS A guide to the committees: House MORE (Ga.).

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In addition to requesting a conference, the resolution insists on the last House amendments to the continuing spending resolution. Those amendments would delay the individual health insurance mandate and end subsidies for insurance that senior officials would receive under the law.

The inclusion of that language on the healthcare law is what prevented the Senate from agreeing to it, and may be what keeps the House and Senate from finding a deal to end the shutdown.

Before the House even voted on the conference resolution, Senate Democrats said they would reject any request to talk about a spending resolution that contemplates undermining ObamaCare. The Senate adjourned until later Tuesday morning, when Democrats were expected to formally reject the House request to meet.

The rule was passed more than an hour after the Obama administration's Office of Management and Budget told agencies to execute their shutdown plans, which will furlough thousands of government workers, starting Tuesday.

Soon after the vote, the House adjourned until 10 a.m. Tuesday.