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  1. \item \prac \textbf{[3 Points]} Perform graph-based reduction to translate the following formula in $\mathcal{T}_{E}$ into an
  2. equisatisfiable formula in propositional logic.
  3. \begin{equation*}
  4. \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).
  5. \end{equation*}