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\item \applyAckermann{
\begin{equation*} \varphi_{EUF} \quad := \quad x=f(x,y) \land x \neq y \leftrightarrow z=f(x,y) \lor \\
f(y,z) \neq z \land y \neq f(x,y) \lor y=f(x,z)
\end{equation*}
}