Translate the following inference to logic notation: For all x, x_4 is a doctor or x_4 is a writer. For all x, x_4 is not a doctor or x_4 will read a book. For all x, x_4 is not a writer or x_4 is a musician. There is at least one x for which x_4 will not read a book. Therefore there is at least one x for which x_4 is a musician.
forall x: P(x) or Q(x). forall x: ~P(x) or R(x). forall x: ~Q(x) or S(x). exists x: ~R(x). Therefore exists x: S(x).