House Minority Leader Hakeem Jeffries stopped by "TMZ Live" on the 35th day of the government shutdown Tuesday ... telling us Republicans have been on a taxpayer-funded vacation while Democrats have been reporting to Capitol Hill, hoping to hash out a deal.

With the shutdown now the longest on record in U.S. history, our Harvey Levin has been gaining traction with his new political movement, OWTA -- "Out With Their Asses." And he explained to Jeffries why he thinks every congressional office should be up for grabs.

Harvey said, "It seems like you, as a body, are not suited to run the government because you guys are at loggerheads." Getty

But for Jeffries -- seeing as how Republicans control the House, Senate, and presidency -- they own this shutdown.

He says Democrats want

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