Translate the following inference to logic notation: For all x, x_8 will take a plane or x_8 will go running. For all x, if x_8 takes a plane, then x_8 is a musician. For all x, x_8 is a musician if and only if x_8 will go running. There is at least one x for which x_8 will drink water. Therefore there is at least one x for which x_8 is a musician and x_8 will drink water.
forall x: P(x) or Q(x). forall x: P(x) -> R(x). forall x: R(x) <-> Q(x). exists x: S(x). Therefore exists x: R(x) and S(x).