Crossword Genius

Proves smarter than fools at Brasenose? (7)

Ross

I believe the answer is:

outwits

'proves smarter than' is the definition.
(to outwit someone is to be smarter than them)

I don't understand how the rest of the clue works.

(Other definitions for outwits that I've seen before include "kids" , "Gulls" , "Is too smart for" .)

I've seen this clue in The Independent.
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