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$\mathcal{A} = \text{People}$ \\
\begin{enumerate} \item $\exists x \big(S(x) \land L(x, Alice)\big)$ \\ $S(x) \ldots $ $x$ is a student \\ $L(x, y) \ldots $ $x$ likes $y$ \\ \item $\forall x \big(T(x) \imp L(x, Bob)\big)$ \\ $T(x) \ldots $ $x$ is a teacher \\ $L(x, y) \ldots $ $x$ likes $y$ \\ \item $\exists x \big(S(x) \land \forall y \big(T(y) \imp L(x, y)\big) \big)$ \\ $S(x) \ldots $ $x$ is a student \\ $T(x) \ldots $ $x$ is a teacher \\ $L(x, y) \ldots $ $x$ likes $y$ \\ \item $P(Bob) \land \exists x \big(S(x) \land P(x)\big)$ \\ $S(x) \ldots $ $x$ is a student \\ $P(x) \ldots $ $x$ plays a game \\ \item $\lnot \forall x \big(S(x) \imp P(x)\big)$\\ $S(x) \ldots $ $x$ is a student \\ $P(x) \ldots $ $x$ plays a game \\ \item $\exists x \big(T(x) \imp \lnot P(x)\big)$\\ $T(x) \ldots $ $x$ is a teacher \\ $P(x) \ldots $ $x$ plays a game \end{enumerate}
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