Translate the following inference to logic notation: For all x, if x_6 were a taxi driver, then x_6 is a scientist. For all x, x_6 will cook. There is at least one x for which if x_6 cooks, then x_6 is working. For all x, if x_6 reads a book, then x_6 is a scientist. For all x, x_6 will read a book or x_6 is a taxi driver. Therefore there is at least one x for which x_6 will work and x_6 is a scientist.
forall x: P(x) -> Q(x). forall x: R(x). exists x: R(x) -> S(x). forall x: T(x) -> Q(x). forall x: T(x) or P(x). Therefore exists x: S(x) and Q(x).