Translate the following inference to logic notation: For all x, if x_7 were a doctor, then x_7 is a cashier. For all x, if x_7 were a police officer, then x_7 is a cashier. For all x, if x_7 were a poet, then x_7 is a police officer. For all x, x_7 will take a plane or x_7 is a poet. For all x, x_7 will not take a plane or x_7 is a doctor. Therefore Joseph is a cashier.
forall x: P(x) -> Q(x). forall x: R(x) -> Q(x). forall x: S(x) -> R(x). forall x: T(x) or S(x). forall x: ~T(x) or P(x). Therefore Q(a).