They are Majority Leader Eric CantorEric Ivan CantorThe Democrats' strategy conundrum: a 'movement' or a coalition? The biggest political upsets of the decade Bottom Line MORE (Va.), Budget Committee Chairman Paul RyanPaul Davis RyanOn The Trail: Democrats plan to hammer Trump on Social Security, Medicare Paul Ryan says Biden likely won't get Democratic nomination Judd Gregg: Honey, I Shrunk The Party 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 Procter FrelinghuysenThe 31 Trump districts that will determine the next House majority Top House GOP appropriations staffer moves to lobbying shop Individuals with significant disabilities need hope and action MORE (N.J.) and Tom GravesJohn (Tom) Thomas GravesThe Hill's Morning Report — Pelosi makes it official: Trump will be impeached Republican Tom Graves announces retirement from House Lawmakers skeptical of progress on spending deal as wall battle looms 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.