Answer
Any domain with four or more members makes the statement true;
any domain with three or fewer members makes the statement false.
Work Step by Step
We Have to prove that on which domain ∀x∀y∀z∃w((w = x) ∧ (w = y) ∧ (w = z)) is false?true?
As we know that
Any domain with four or more members makes the statement true;
any domain with three or fewer members makes the statement false.