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}