Translate the following inference to logic notation: For all x, z_4 is not a musician. For all x, z_4 is a musician if and only if z_4 is a poet. There is at least one x for which z_4 is a poet or z_4 will climb a mountain. Therefore there is at least one x for which z_4 will climb a mountain.
forall x: ~P(x). forall x: P(x) <-> Q(x). exists x: Q(x) or R(x). Therefore exists x: R(x).