They are Majority Leader Eric CantorEric Ivan CantorRace for Republican Speaker rare chance to unify party for election Scalise allies upset over Ryan blindside on McCarthy endorsement 2018 will test the power of political nobodies MORE (Va.), Budget Committee Chairman Paul RyanPaul Davis RyanA warning to Ryan’s successor: The Speakership is no cakewalk Republicans divided over legislation protecting Mueller The Hill's 12:30 Report 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 FrelinghuysenIs Paul Ryan the latest sign of crumbling Republican Party? Loss of Ryan hits hard for House Republicans Sadly, fiscal restraint is no longer a core principle of the GOP MORE (N.J.) and Tom GravesJohn (Tom) Thomas GravesRepublicans express doubts that Ryan can stay on as Speaker Ryan rebuffs calls that he make a speedier exit House Republicans grumble about the 'worst process ever' 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.