Translate the following inference to logic notation: For all x, x_8 is not a musician. For all x, x_8 is a musician if and only if x_8 will work. There is at least one x for which x_8 is a politician if and only if x_8 will work. Therefore there is at least one x for which x_8 is not a politician.
forall x: ~P(x). forall x: P(x) <-> Q(x). exists x: R(x) <-> Q(x). Therefore exists x: ~R(x).