Questionnaire-2024/equivalence_checking/0010_sol.tex

$$
\underbracket{(% 1
\underbracket{(% 3
\underbracket{(% 21
p	\lor
q)
}_{x_{1}}% END:\lor
\land
r)
}_{x_{2}}% END:\land
\lor
\underbracket{\lnot
p}_{x_{3}})
}_{x_{\varphi}}% END:\lor
$$

\begin{align*}
\varphi' = \ &x_\varphi~\land\\
            &\tseitinOr{x_{\varphi}}{x_{2}}{x_{3}}~\land \\
            &\tseitinAnd{x_{2}}{x_{1}}{r}~\land \\
            &\tseitinOr{x_{1}}{p}{q}~\land \\
            &\tseitinNot{x_{3}}{p}
\end{align*}