Translate the following inference to logic notation: There is at least one x for which if x_12 were a cashier, then x_12 is running. For all x, x_12 is a cashier or x_12 is poor. For all x, if x_12 were poor, then x_12 is running. For all x, x_12 is a carpenter and x_12 is an artist. Therefore there is at least one x for which x_12 is a carpenter and x_12 will go running.
exists x: P(x) -> Q(x). forall x: P(x) or R(x). forall x: R(x) -> Q(x). forall x: S(x) and T(x). Therefore exists x: S(x) and Q(x).