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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{(f(a)=b); (f(a)=c); \lnot (b=c)}) \land (\clause{(b=c); (a=b); (f(a)=b)})~\land\\ &(\clause{\lnot (f(a)=b); (a=b)}) \land (\clause{(b=c); \lnot (a=b); \lnot (f(a)=b)})~\land\\ &(\clause{\lnot (f(a)=c); (b=c)}) \land (\clause{\lnot (f(a)=c); (b=c); \lnot (a=b)})~\land\\ &(\clause{(f(a)=b); (f(a)=c)}) \end{align*}
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