OK, Jeff, it's weird. I don't know how to explain it, but the App_Code folder in that project is broken. Maybe it's in the wrong project-type or the DevExpress project didn't configure it property; I don't know, but anything in the App_Code folder is broken.
Any class you place in the App_Code folder cannot be seen by any other code file in the project, and it can't see any of the code (or even references
) of the project. I created a new folder in your project and called it "Code" and moved the ApplicationBasePage to there, and everything started working. I did have change the inherit line to the full path of the ApplicationBasePage (with namespace) in your Default.aspx.cs file, but that was it. Just moving the ApplicationBasePage.cs file out of the App_Code folder worked.
Who would have thunk it. Strange things are afoot at the Circle-K...