Translate the following inference to logic notation: For all x, if x_5 were a politician, then x_5 is sleeping. For all x, x_5 is curious. For all x, x_5 is a politician. For all x, if x_5 cooks, then x_5 is sleeping. Therefore for all x, x_5 is curious and x_5 will sleep.
forall x: P(x) -> Q(x). forall x: R(x). forall x: P(x). forall x: S(x) -> Q(x). Therefore forall x: R(x) and Q(x).