Prove the crazy brute wrong! (5)

I believe the answer is:

rebut

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'prove the crazy' is the definition.
I can't tell whether this definition defines the answer.

'brute wrong' is the wordplay.
'wrong' is an anagram indicator.
'brute' anagrammed gives 'REBUT'.

Can you help me to learn more?

(Other definitions for rebut that I've seen before include "Prove (something) to be false" , "Quash" , "Drive back" , "Claim or prove to be false" , "Check" .)

I've seen this clue in the Evening Standard.

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