Consider the following logic program P
$\begin{align*} A(x) &\gets B(x,y), C(y) \\ &\gets B(x,x) \end{align*}$
Which of the following first order sentences is equivalent to P?
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$(\forall x) [(\exists y) [B(x,y) \land C(y)] \Rightarrow A(x)] \land \neg (\exists x)[B(x,x)]$
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$(\forall x) [(\forall y) [B(x,y) \land C(y)] \Rightarrow A(x)] \land \neg (\exists x)[B(x,x)]$
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$(\forall x) [(\exists y) [B(x,y) \land C(y)] \Rightarrow A(x)] \vee \neg (\exists x)[B(x,x)]$
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$(\forall x) [(\forall y) [B(x,y) \land C(y)] \Rightarrow A(x)] \land (\exists x)[B(x,x)]$
