Translate the following inference to logic notation: For all x, if x_7 were a musician, then x_7 is not listening to a song. For all x, if x_7 were a nurse, then x_7 is listening to a song. For all x, x_7 is a lawyer if and only if x_7 will listen to a song. For all x, x_7 is a lawyer or x_7 is a nurse. Therefore for all x, x_7 is not a musician.
forall x: P(x) -> ~Q(x). forall x: R(x) -> Q(x). forall x: S(x) <-> Q(x). forall x: S(x) or R(x). Therefore forall x: ~P(x).