"We just completed this vote to a waste of 30 hours on this," Reid said after the vote on the motion to proceed. "We now have to wait two days to continue … we’re going to come in after midnight Friday on this."

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Paul has said he'll filibuster all legislative action, holding up bills until he gets a vote on his own legislation to stop all foreign aid to Pakistan. He also accused Reid of "filling the amendment tree."

"What a charade and farce," Paul said. "They don’t even pretend to work with the other side."

In his own defense, Paul said he wasn't obstructing, he only wanted 15 minutes of the Senate's time on an amendment vote for his bill.

Reid suggested that his "friend from Kentucky should have run from Secretary of State rather than the Senate." He also said that he hopes an agreement on amendments is reached so that the Senate doesn't have to stay in town until roughly 3 a.m. Saturday. 

The Veterans Jobs Corp Act would create new job-training programs to help veterans find work in targeted fields such as national park conservation, historic preservation projects, police work and firefighting, among others.

“It’s not enough to give our veterans a pat on the back for their service, we also need to give them a helping hand into the jobs market,” Senate Veterans Affairs Committee Chairwoman Patty MurrayPatricia (Patty) Lynn MurrayCDC director to miss fourth hearing because of potential ethics issues Week ahead: Lawmakers near deal on children's health funding Ryan suggests room for bipartisanship on ObamaCare MORE (D-Wash.) said in a floor speech Wednesday.

The $1 billion bill is paid for with new revenue over 10 years. The Congressional Budget Office reported that the three new sources of that pay for the legislation would raise $1.2 billion after 10 years — but the bill would only be in effect for five years.

Senate Budget Committee Ranking Member Jeff SessionsJefferson (Jeff) Beauregard SessionsSessions: 'We should be like Canada' in how we take in immigrants DOJ wades into archdiocese fight for ads on DC buses Overnight Cybersecurity: Bipartisan bill aims to deter election interference | Russian hackers target Senate | House Intel panel subpoenas Bannon | DHS giving 'active defense' cyber tools to private sector MORE (R-Ala.) said the bill violates the Budget Control Act since it would increase the Veterans’ Affairs Department budget by $1 billion.

“The Veterans Job Corp bill could be a positive piece of legislation, I’m not speaking about the intent of the bill, but as ranking member of the budget committee, I have to point out that this bill violates the budget,” Sessions said on the floor Wednesday. “What this new bill, with good purpose, does is spend a billion dollars more than we agreed to spend.”

Murray and Sen. Bill NelsonClarence (Bill) William NelsonSenate campaign fundraising reports roll in Week ahead: Tech giants to testify on extremist content Puerto Rico's children need recovery funds MORE (D-Fla.) led the effort for the legislation. Sen. Richard BurrRichard Mauze BurrNSA spying program overcomes key Senate hurdle Senate Intel chairman: No need for committee to interview Bannon McConnell: Russia probe must stay bipartisan to be credible MORE’s (R-N.C.) Republican alternative bill was incorporated into the legislation to make it more bipartisan.

Sen. Tom CoburnThomas (Tom) Allen CoburnRepublicans in Congress shouldn't try to bring back earmarks Republicans should know reviving earmarks is a political nightmare Former GOP senator: Trump has a personality disorder MORE (R-Okla.) called the bill a political “charade” earlier in the day since most lawmakers don’t want to vote against veterans’ issues.

“What’s really happening here is we’re playing the political card because how could anyone oppose the Veterans Job Corp?” Coburn said. “The better question is how callous it is to put forward a bill that we don’t know if it will work.”

Coburn said he thinks more time should be spent evaluating the six veteran job programs already in existence to see how effective they are before passing another.

Republican Sens. Roy BluntRoy Dean BluntGOP senators eager for Romney to join them Senate GOP wary of ending Russia probes, despite pressure GOP on precipice of major end-of-year tax victory MORE (Mo.), Tom Coburn (Okla.), Jim DeMint (S.C.), James InhofeJames (Jim) Mountain InhofeEPA's Pruitt: Bring back 'true environmentalism' Tax cut complete, hawks push for military increase Trump meets with oil-state GOP senators on ethanol mandate MORE (Okla.), Ron JohnsonRonald (Ron) Harold JohnsonGOP senators eager for Romney to join them The House needs to help patients from being victimized by antiquated technology Comey’s original Clinton memo released, cites possible violations MORE (Wis.), Mike LeeMichael (Mike) Shumway LeeNSA spying program overcomes key Senate hurdle With religious liberty memo, Trump made America free to be faithful again This week: Time running out for Congress to avoid shutdown MORE (Utah), Paul and Sessions voted no.

S. 3457 would establish a Veterans Job Corps for five years. The bill would set up a pilot program that would allow veterans to search for jobs on a new website, and create “one-stop job centers” where they could receive help using the site, if needed. 

The bill would also establish a Transition Assistance Program for veterans and their spouses in a few states with the highest levels of unemployed vets.

Some veterans receive on-the-job training while in service, but that doesn’t always transfer over into civilian life. S. 3457 would make it easier for veterans to get job certifications and licenses in states by counting military training that’s relevant to become certified as a nursing assistant, or to get a commercial driver's license or an EMT license. 

Burr’s additions, among other things, help veterans and their families who are small business owner by giving them preference with government contracts.