Translate the following inference to logic notation: For all x, x_8 will make tea if and only if x_8 will climb a mountain. For all x, x_8 will not climb a mountain. For all x, x_8 will make tea or x_8 is a doctor. Therefore for all x, x_8 is a doctor or x_8 will take a plane.
forall x: P(x) <-> Q(x). forall x: ~Q(x). forall x: P(x) or R(x). Therefore forall x: R(x) or S(x).