Translate the following inference to logic notation: For all x, if x_5 were an electrician, then x_5 is an artist. For all x, if x_5 were an artist, then x_5 is a cashier. There is at least one x for which if x_5 writes a letter, then x_5 is a cashier. For all x, if x_5 plays squash, then x_5 is an electrician. For all x, x_5 will play squash or x_5 will write a letter. Therefore there is at least one x for which x_5 is a cashier.
forall x: P(x) -> Q(x). forall x: Q(x) -> R(x). exists x: S(x) -> R(x). forall x: T(x) -> P(x). forall x: T(x) or S(x). Therefore exists x: R(x).