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  1. \item \lect
  2. Given the formula
  3. \begin{equation*}
  4. \varphi_{EUF} \quad := \quad f(g(x))=f(y) \; \lor \; (z=g(y) \land z \neq f(z))
  5. \end{equation*}
  6. Apply the \emph{Ackermann} reduction algorithm to compute an equisatisfiable formula in $\mathcal{T}_{E}$.