Translate the following inference to logic notation: For all x, x_8 will go running or x_8 is fast. For all x, if x_8 goes running, then x_8 is an electrician. For all x, if x_8 were fast, then x_8 is an electrician. For all x, x_8 is a police officer and x_8 will write a letter. Therefore for all x, x_8 is an electrician and x_8 is a police officer.
forall x: P(x) or Q(x). forall x: P(x) -> R(x). forall x: Q(x) -> R(x). forall x: S(x) and T(x). Therefore forall x: R(x) and S(x).