Translate the following inference to logic notation: For all x, x_12 is an electrician or x_12 will play a game. For all x, if x_12 plays a game, then x_12 is cooking. For all x, x_12 is an electrician if and only if x_12 is a cashier. For all x, x_12 is not a cashier. For all x, x_12 will work. Therefore for all x, x_12 will cook and x_12 will work.
forall x: P(x) or Q(x). forall x: Q(x) -> R(x). forall x: P(x) <-> S(x). forall x: ~S(x). forall x: T(x). Therefore forall x: R(x) and T(x).