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