If the statement "Some professors are spiritualists" is given as true, which of the following statements can be immediately inferred to be false?

If "Some professors are spiritualists" is true, then "No professors are spiritualists" must be false.

The given statement is a particular affirmative proposition.

Its contradictory on the square of opposition is the universal negative.

Contradictories can never share the same truth value at the same time.

Since the particular affirmative is true, its contradictory the universal negative is necessarily false.

Thus the claim that no professors are spiritualists is immediately inferred false.