Translate the following inference to logic notation: For all x, if x_8 were a police officer, then x_8 is an office clerk. For all x, if x_8 were an office clerk, then x_8 is an electrician. For all x, if x_8 were an electrician, then x_8 is fast. For all x, if x_8 were fast, then x_8 is a police officer. Therefore if Jessica were an electrician, then Jessica is fast.
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 R(a) -> S(a).