Translate the following inference to logic notation: There is at least one x for which if x_5 were a server, then x_5 is a doctor. For all x, if x_5 were a doctor, then x_5 is a server. For all x, x_5 will not climb a mountain. For all x, x_5 will climb a mountain if and only if x_5 is a doctor. Therefore there is at least one x for which x_5 is not a server.
exists x: P(x) -> Q(x). forall x: Q(x) -> P(x). forall x: ~R(x). forall x: R(x) <-> Q(x). Therefore exists x: ~P(x).