THE DOMAIN OF DISCOURSE IS THE SET OF MOVIES

69. Let

p(x) : x is good.

q(x) : x is too long.

r(x) : x is short enough.

The domain of discourse is the set of movies. The assertions are

∀x(p(x) → ¬q(x))

∀x(¬p(x) → ¬r(x))

p(Love Actually)

q(Love Actually ).

By universal instantiation,

p(Love Actually) → ¬q(Love Actually).

Since p(Love Actually) is true, then ¬q(Love Actually) is also true. But this contradicts,

q(Love Actually).