Translate the following inference to logic notation: For all x, if x_7 cooks, then x_7 is bored. For all x, x_7 will cook and x_7 is an artist. For all x, if x_7 were bored, then x_7 is a police officer. Therefore for all x, x_7 is a police officer.
forall x: P(x) -> Q(x). forall x: P(x) and R(x). forall x: Q(x) -> S(x). Therefore forall x: S(x).