Translate the following inference to logic notation: For all x, x_6 is a nurse or x_6 is a bartender. For all x, x_6 is a lawyer if and only if x_6 is a bartender. There is at least one x for which x_6 is not a nurse or x_6 will climb a mountain. For all x, x_6 is not a lawyer. Therefore there is at least one x for which x_6 will climb a mountain.
forall x: P(x) or Q(x). forall x: R(x) <-> Q(x). exists x: ~P(x) or S(x). forall x: ~R(x). Therefore exists x: S(x).