Translate the following inference to logic notation: For all x, x_11 will go running if and only if x_11 is a musician. For all x, x_11 will sleep. For all x, x_11 will go running. For all x, if x_11 sleeps, then x_11 is making tea. Therefore for all x, x_11 will make tea and x_11 is a musician.
forall x: P(x) <-> Q(x). forall x: R(x). forall x: P(x). forall x: R(x) -> S(x). Therefore forall x: S(x) and Q(x).