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\item \prac \textbf{[3 Points]} Perform graph-based reduction to translate the following formula in $\mathcal{T}_{E}$ into an
equisatisfiable formula in propositional logic.
\begin{equation*}
\varphi_{E} := x \neq y \land y = c \lor c = d \rightarrow \neg (d \neq z \lor z = a) \land \neg (a = b \land x \neq z).
\end{equation*}