\item \self Consider the following formula in $\mathcal{T}_{EUF}$.
    \begin{equation*}
        \phi_{EUF} \quad := \quad f(g(x), h(y))=a \; \lor \; b=f(u, v) \; \imp \; k(a,b)=u \land v=k(x,y)
    \end{equation*}
    
    Use Ackermann's reduction to compute an equisatisfiable formula in $\mathcal{T}_{E}$.