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There's also the option of "Do Some Evil".

Do Evil, Yes!

Was this by chance a "No, money down!" Simpsons reference?

it is now lol

evil(x) -> not(do(x)) which equates to not(evil(x)) or not(do(x)).

The negation would be evil(x) and do(x) by DeMorgan's law.

If what you mean is all(x), evil(x) -> not(do(x))

then the negation would be exists(x), evil(x) and do(x).