Here's Obama's full statement with the clip used by the RNC highlighted in bold.

Now, the question right now is whether we can reduce the deficit in a way that helps the economy grow, that operates with a scalpel, not with a hatchet, and if not, whether Congress is willing to stick to the painful deal that we made in August for the automatic cuts. Already, some in Congress are trying to undo these automatic spending cuts.

My message to them is simple: No. I will veto any effort to get rid of those automatic spending cuts to domestic and defense spending. There will be no easy off ramps on this one.

We need to keep the pressure up to compromise -- not turn off the pressure. The only way these spending cuts will not take place is if Congress gets back to work and agrees on a balanced plan to reduce the deficit by at least $1.2 trillion. That's exactly what they need to do. That's the job they promised to do. And they've still got a year to figure it out.

Although Congress has not come to an agreement yet, nothing prevents them from coming up with an agreement in the days ahead. They can still come together around a balanced plan. I believe Democrats are prepared to do so. My expectation is, is that there will be some Republicans who are still interested in preventing the automatic cuts from taking place. And, as I have from the beginning, I stand ready and willing to work with anybody that's ready to engage in that effort to create a balanced plan for deficit reduction.