Questionnaire-2024/equivalence_checking/1019.tex

\item
\CNFfromCircuit

\tikzstyle{branch}=[fill,shape=circle,minimum size=3pt,inner sep=0pt]
\begin{tikzpicture}[label distance=2mm]
    \node (a) at (0,0) {$a$};
    \node (b) at (0,-1) {$b$};
    \node (c) at (0,-2) {$c$};
    \node (d) at (0,-3) {$d$};
    \node (z) at (12,-1.5) {$z$};

    \node (am1) at (5,0) {};
    \node (am2) at (3,0) {};
    \node (ab_c1) at (3,-.9) {};
    \node (ab_c2) at (3.1,-1) {};
    \node (ab_c3) at (3,-1.1) {};
    \node (not1m) at (5,-1) {};
    \node (not2m) at (2,-2) {};
    \node (or2m) at (5,-2) {};
    \node (dm) at (5,-3) {};
    \node (or1m) at (7,-.5) {};
    \node (or3m) at (7,-2.5) {};

    \node[not gate US, draw, logic gate inputs=n] at ($(1,-1)$) (not1) {\tiny NOT};
    \node[not gate US, draw, logic gate inputs=n] at ($(1,-2)$) (not2) {\tiny NOT};
    \node[or gate US, draw, logic gate inputs=nn] at ($(6,-.5)$) (or1) {\tiny OR};
    \node[or gate US, draw, logic gate inputs=nn] at ($(4,-2)$) (or2) {\tiny OR};
    \node[or gate US, draw, logic gate inputs=nn] at ($(6,-2.5)$) (or3) {\tiny OR};
    \node[and gate US, draw, logic gate inputs=nn] at ($(8,-1.5)$) (and1) {\tiny AND};
    \node[not gate US, draw, logic gate inputs=n] at ($(10,-1.5)$) (not3) {\tiny NOT};

    \draw (b.east) -- (not1.input);
    \draw (c.east) -- (not2.input);
    \draw (a.east) |- (am1.center) |- (or1.input 1);
    \draw (not1.output) |- (not1m.center) node[below] {$u$} |- (or1.input 2);
    \draw (a.east) |- (am2.center) node[circle, fill,inner sep=2pt] {} -- (ab_c1.center) -- (ab_c2.center) -- (ab_c3.center) |- (or2.input 1);
    \draw (not2.output) |- (not2m.center) node[below] {$t$} |- (or2.input 2);
    \draw (or2.output) |- (or2m.center) node[above] {$v$} |- (or3.input 1);
    \draw (d.east) |- (dm.center) |- (or3.input 2);
    \draw (or1.output) |- (or1m.center) node[above] {$w$} |- (and1.input 1);
    \draw (or3.output) |- (or3m.center) node[below] {$x$} |- (and1.input 2);
    \draw (and1.output) -- node[below] {$y$} (not3.input);
    \draw (not3.output) -- (z.west);

\end{tikzpicture}