Translate the following inference to logic notation: For all x, x_7 is a server if and only if x_7 will sleep. For all x, x_7 is a server or x_7 is excited. For all x, if x_7 were excited, then x_7 is sleeping. Therefore for all x, x_7 will sleep or x_7 is an electrician.
forall x: P(x) <-> Q(x). forall x: P(x) or R(x). forall x: R(x) -> Q(x). Therefore forall x: Q(x) or S(x).