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