Translate the following inference to logic notation: For all x, x_6 is a mechanic. For all x, if x_6 were a nurse, then x_6 is climbing a mountain. For all x, x_6 will climb a mountain or x_6 will not sleep. For all x, x_6 will sleep or x_6 is a nurse. Therefore for all x, x_6 will climb a mountain and x_6 is a mechanic.
forall x: P(x). forall x: Q(x) -> R(x). forall x: R(x) or ~S(x). forall x: S(x) or Q(x). Therefore forall x: R(x) and P(x).