Translate the following inference to logic notation: For all x, if x_12 cooks, then x_12 is an artist. For all x, x_12 will write a letter and x_12 is curious. For all x, x_12 is an artist if and only if x_12 will cook. For all x, if x_12 cooks, then x_12 is not writing a letter. Therefore for all x, x_12 is not an artist.
forall x: P(x) -> Q(x). forall x: R(x) and S(x). forall x: Q(x) <-> P(x). forall x: P(x) -> ~R(x). Therefore forall x: ~Q(x).