Thinking of that last statement of mine, it may make even more sense when you dig into it. The pilots are given control of a plane the computers cannot handle. (Ran out of program memory or design knowledge base?) That would imply to me that the computer has already tried to apply "conventional wisdom and procedure" to at least some small degree. So the trick is to sit there and think of what the computer may not have seen.
Of course, that requires almost line by line understanding of the software. <sigh>