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