Translate the following inference to logic notation: There is at least one x for which x_8 is not a sailor. For all x, x_8 will cook. For all x, x_8 is a sailor if and only if x_8 will cook. Therefore there is at least one x for which x_8 is a police officer.
exists x: ~P(x). forall x: Q(x). forall x: P(x) <-> Q(x). Therefore exists x: R(x).