Translate the following inference to logic notation: For all x, x_6 is a poet. For all x, x_6 is an electrician. For all x, if x_6 were a poet, then x_6 is playing a game. For all x, x_6 will sleep. Therefore for all x, x_6 will sleep and x_6 is an electrician.
forall x: P(x). forall x: Q(x). forall x: P(x) -> R(x). forall x: S(x). Therefore forall x: S(x) and Q(x).