Translate the following inference to logic notation: For all x, if x_1 were excited, then x_1 is a doctor. For all x, x_1 is not a doctor. For all x, x_1 is excited if and only if x_1 is curious. Therefore for all x, x_1 is not curious.
forall x: P(x) -> Q(x). forall x: ~Q(x). forall x: P(x) <-> R(x). Therefore forall x: ~R(x).