Translate the following inference to logic notation: For all x, if x_15 were a musician, then x_15 is a taxi driver. For all x, x_15 is an office clerk if and only if x_15 is a taxi driver. For all x, if x_15 were an office clerk, then x_15 is a nurse. There is at least one x for which if x_15 were a nurse, then x_15 is a musician. Therefore there is at least one x for which if x_15 were a musician, then x_15 is an office clerk.
forall x: P(x) -> Q(x). forall x: R(x) <-> Q(x). forall x: R(x) -> S(x). exists x: S(x) -> P(x). Therefore exists x: P(x) -> R(x).