CNN's been doing a tally of house members who would support a clean resolution, and right now it's at 219 (217 is needed to pass). Normally I wouldn't attach much weight to it, but they do have a list of 19 Republicans who have stated that they would support a CR. I don't think it's much of a surprise that Boehner's claim that the votes aren't there to support a clean resolution was a lie.
http://politicalticker.blogs.cnn.com...-not-the-will/