Translate the following inference to logic notation: For all x, x_6 is not a musician. For all x, if x_6 were a soldier, then x_6 is a cashier. For all x, x_6 will write a letter. For all x, x_6 is a musician or x_6 is a soldier. Therefore for all x, x_6 will write a letter and x_6 is a cashier.
forall x: ~P(x). forall x: Q(x) -> R(x). forall x: S(x). forall x: P(x) or Q(x). Therefore forall x: S(x) and R(x).