Translate the following inference to logic notation: For all x, if x_5 were a bartender, then x_5 is playing squash. For all x, x_5 will read a book or x_5 is a cashier. For all x, if x_5 plays squash, then x_5 is writing a letter. For all x, if x_5 were a cashier, then x_5 is a bartender. For all x, if x_5 reads a book, then x_5 is writing a letter. Therefore for all x, x_5 will write a letter.
forall x: P(x) -> Q(x). forall x: R(x) or S(x). forall x: Q(x) -> T(x). forall x: S(x) -> P(x). forall x: R(x) -> T(x). Therefore forall x: T(x).