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\item \prac \textbf{[3 Points]} Use the Congruence-Closure algorithm to check if the following assignment for the equalities is satisfiable.
\begin{align*}
\varphi_{EUF} \quad := \quad f(o)=k \land l \neq f(m) \land n \neq l \land f(k)=m \land f(o)=f(k) \land o \neq k \land \\ l \neq f(n) \land f(m) \neq k \land m \neq f(m) \land o=n \land f(m)=o
\end{align*}