Under Sainsbury's definition, the negation of any belief would count as a paradox, since one's remaining beliefs serve as apparently acceptable premises from which an apparently unacceptable conclusion (the negation) follows
If you know that your beliefs are jointly inconsistent but deny this makes for a giant paradox, then you should reject R. M. Sainsbury’s definition of a paradox as “an apparently unacceptable conclusion derived by apparently acceptable reasoning from apparently acceptable premises” (1995, 1). Take the negation of any of your beliefs as a conclusion and your remaining beliefs as the premises. You should judge this jumble argument as valid, and as having premises that you accept, and yet as having