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The translations used in the eager approach for $\mathcal{T}_{EUF}$ are:
\begin{enumerate}
\item Ackermann Reduction: to remove all function instances, resulting in an equisatisfiable formula in $\mathcal{T}_{E}$.
\item Graph-Based Reduction: to remove all equality instances, resulting in an equisatisfiable formula in propositional logic.
\end{enumerate}