Translate the following inference to logic notation: For all x, if x_6 takes a plane, then x_6 is sleeping. For all x, if x_6 sleeps, then x_6 is running. For all x, if x_6 goes running, then x_6 is an electrician. For all x, if x_6 were an electrician, then x_6 is taking a plane. Therefore for all x, if x_6 sleeps, then x_6 is an electrician.
forall x: P(x) -> Q(x). forall x: Q(x) -> R(x). forall x: R(x) -> S(x). forall x: S(x) -> P(x). Therefore forall x: Q(x) -> S(x).