Boehner (realizing the Senate and Executive branch will not back off on Obamacare I guess?) has insisted:

"the GOP-led House would not pass measures to either reopen the government or increase the government's borrowing authority without concessions from the White House, including talks on reducing federal spending."

link

If they wanted something like this isn't it a bit late to start discussions now? Where are they going to get in a week or so? I guess trying to stop Obamacare after it's already out of the starting gate it even more ridiculous but still.
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We are what we repeatedly do - Aristotle