Translate the following inference to logic notation: There is at least one x for which x_12 is an office clerk or x_12 will not climb a mountain. For all x, if x_12 were a politician, then x_12 is not an office clerk. For all x, if x_12 were a cashier, then x_12 is an office clerk. For all x, x_12 is a cashier or x_12 will climb a mountain. Therefore there is at least one x for which x_12 is not a politician.
exists x: P(x) or ~Q(x). forall x: R(x) -> ~P(x). forall x: S(x) -> P(x). forall x: S(x) or Q(x). Therefore exists x: ~R(x).