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