To rebut a charge means to offer detailed evidence against it.
Times, Sunday Times
It wants to rebut the charge of unevenness, and in many ways succeeds.
The Times Literary Supplement
Insurance companies must grasp this opportunity to rebut the charges of crony capitalism and give motorists confidence they are getting a fair deal.
Times, Sunday Times
If he can rebut the charges, he lives.
Times, Sunday Times
No 10 furiously rebuts the charge.
Times, Sunday Times