$\mathcal{A} = \text{People}$ \\

\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}
