Translate the following inference to logic notation: For all x, x_12 is excited if and only if x_12 is fast. There is at least one x for which x_12 will not read a book. For all x, x_12 is fast if and only if x_12 will read a book. Therefore there is at least one x for which x_12 is not excited.
forall x: P(x) <-> Q(x). exists x: ~R(x). forall x: Q(x) <-> R(x). Therefore exists x: ~P(x).