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\item \ifassignmentsheet \points{5} \fi
Use the lazy encoding approach to check whether the formula $\varphi$ in $\EUF$ is satisfiable.
\begin{align*}
\varphi = & (\clause{(a=b); (a=f(a))}) \land (\clause{(f(a)=b); (c=b); (f(a)=c)})~\land \\
& (\clause{(f(b)=c); \lnot (f(a)=b); \lnot (f(a)=c)}) \land (\clause{\lnot (a=b); \lnot (a=f(a))})~\land \\
& (\clause{(a=f(a)); \lnot (c=b)})
\end{align*}