< A more productive route is to focus not on contradiction but on completeness. 
And I'm using "focus on" ... I'm not saying *ignore* consistency. Simply spend 
more time trying to cover the ground that needs covering. >

In some depth first search one might find a sub-problem that was uncrackable.   
If it is one of 100 problems to solve, it is dumb to get hung-up on it, 
especially if it is of no practical significance.    But it is a problem that 
will attract a certain kind of (autistic) academic attention as well.

Marcus
 

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