Problem $4.(21$ points$)$ Consider a first$-$order logic vocabulary with the following symbols:

Occupation$($ p$,$o $)$: Predicate. Person p has occupation o$.$

Customer$($p$1,$ p$2)$: Predicate. Person p$1$ is a customer of person p$2.$

Boss$($p$1,$p$2)$: Predicate. Person p$1$ is the boss of person p$2.$

Doctor, Surgeon, Lawyer, Actor: Constants denoting occupations

Priya, Carson: Constants denoting people.

Use these symbols to write the following assertions in first$-$order logic:

a$.$ Priya is either a Surgeon or a Lawyer

b$.$ Carson is an actor, but also has another job.

c$.$ All surgeons are doctors.

d$.$ Carson does not have a lawyer. $($That is$,$ he is not the customer of a lawyer$)$

e$.$ Priya has a boss who is a lawyer.

f$.$ There is a lawyer, all of whose customers are doctors.

g$.$ Every surgeon has a lawyer.