Acctually the opposite of (born in the US) AND (Having two citizen parents) is:
(Not born in the US) OR (having 1 or no citizen parents). With the "OR" being inclusive (that is both be true).
Logic 101.
(NOT)(A and B) == (NOT A) or (NOT B).
Oops
that is both *could* be true, for the overall statement to be true, IOW either A or B or both must be true for (A or B) to be true.