Translate the following inference to logic notation: For all x, x_7 will go running and x_7 will take a plane. For all x, if x_7 goes running, then x_7 is drinking water. There is at least one x for which x_7 will write a letter. Therefore there is at least one x for which x_7 will write a letter and x_7 will drink water.
forall x: P(x) and Q(x). forall x: P(x) -> R(x). exists x: S(x). Therefore exists x: S(x) and R(x).