This one will be short. From the beginning, I've seen this approach as the only way to take Boehner out of the equation:
From Roll Call:
House Democrats are moving ahead with a plan to discharge a GOP bill that automatically funds the government, advancing a course that could eventually end the government shutdown â if enough Republicans cooperate.
Democrats announced Friday afternoon that they would file a discharge petition on a bill sponsored by Rep. James Lankford, R-Okla., that has sat waiting for action by the Appropriations Committee since March.
More
here. This is the way to go. The very threat of it might make Boehner cave; if not, the government reopens and the Republicans get nothing.