Translate the following inference to logic notation: For all x, if x_12 were bored, then x_12 is a mechanic. If Charles were not a mechanic, then it is raining. For all x, if x_12 were a mechanic, then x_12 is bored. Charles is not bored. Therefore it is raining.
forall x: P(x) -> Q(x). ~Q(a) -> p. forall x: Q(x) -> P(x). ~P(a). Therefore p.