Several students were asked to formalize the following argument by defining appropriate predicates and then giving the argument as a numbered listed of statements. Each statement was to be labeled either as a premise, or a conclusion from earlier statements, and the argument form used identified.

Vegetarians don't eat meat. Bill is a vegetarian. Pork is a kind of meat. Therefore, Bill does not eat pork.

Identify the correct answer.

Sai: define the predicates

$V=$ veg$ria\frac{n}{s}$

$M=$ meat

$P=$ pork

$E(x,y)=x$ eats $y.$ E takes as its first input a person and as its second input a food.

AAx,$y(notE(V,M))($premise$)$

$M=P$

notE $($Bill$,M)($universal instantiation of $1.)$

ill, $P)($substituting $2.$ into $3.)$

Vihaan define the predicates

$V(x)="x$ is a vegetarian."

$B(x)="x$ is Bill."

$M(y)="y$ is meat."

$P(y)="y$ is pork."

$E(x,y)="$x eats $y"$

$x$ is a person, $y$ is a food.

AAx,$y(V(x{)}^{{?}^{?}}M(y)$notE$(x,y))($premise$)$