Translate the following inference to logic notation: For all x, x_8 is poor or x_8 is a cashier. For all x, x_8 is a doctor or x_8 is not poor. There is at least one x for which x_8 is not a doctor or x_8 is an artist. For all x, if x_8 were a cashier, then x_8 is a doctor. Therefore there is at least one x for which x_8 is a politician or x_8 is an artist.
forall x: P(x) or Q(x). forall x: R(x) or ~P(x). exists x: ~R(x) or S(x). forall x: Q(x) -> R(x). Therefore exists x: T(x) or S(x).