Translate the following inference to logic notation: For all x, x_15 is not a soldier. John is climbing a mountain if and only if Charles is playing a game. For all x, x_15 is happy if and only if x_15 will climb a mountain. For all x, x_15 is a soldier or x_15 is not happy. Therefore Charles is not playing a game.
forall x: ~P(x). Q(a) <-> p. forall x: R(x) <-> Q(x). forall x: P(x) or ~R(x). Therefore ~p.