Translate the following inference to logic notation: For all x, if x_12 were a musician, then x_12 is running. For all x, x_12 is a musician or x_12 will not go running. If Patricia were a musician, then John is playing a game. Therefore if Patricia goes running, then John is playing a game.
forall x: P(x) -> Q(x). forall x: P(x) or ~Q(x). P(a) -> p. Therefore Q(a) -> p.