\hspace{-0.09cm}\scalebox{0.85}{
	\begin{dplltabular}{6}
		\dpllStep{12|13|14|15|16|17}
		\dpllDecL{0|0|0|0|0|0}
		\dpllAssi{ - |$a$|$a, b$|$a, b, c$|\makecell{$a, b, c, $ \\ $d$}|\makecell{$a, b, c, $ \\ $d, \lnot e$}}
		\dpllClause{1}{$a, b, c$}{$a, b, c$|\done|\done|\done|\done|\done}
		\dpllClause{2}{$\lnot a, b$}{$\lnot a, b$|$b$|\done|\done|\done|\done}
		\dpllClause{3}{$\lnot b, c$}{$\lnot b, c$|$\lnot b, c$|$c$|\done|\done|\done}
		\dpllClause{4}{$\lnot c, d$}{$\lnot c, d$|$\lnot c, d$|$\lnot c, d$|$d$|\done|\done}
		\dpllClause{5}{$\lnot c, e$}{$\lnot c, e$|$\lnot c, e$|$\lnot c, e$|$e$|$e$|\conflict}
		\dpllClause{6}{$\lnot d, \lnot e$}{$\lnot d, \lnot e$|$\lnot d, \lnot e$|$\lnot d, \lnot e$|$\lnot d, \lnot e$|$\lnot e$|\done}
		\dpllClause{7}{$a, b$}{$a, b$|\done|\done|\done|\done|\done}
		\dpllClause{8}{$a$}{$a$|\done|\done|\done|\done|\done}
		\dpllBCP{$a$|$b$|$c$|$d$|$\lnot e$| - }
		\dpllPL{ - | - | - | - | - | - }
		\dpllDeci{ - | - | - | - | - |UNSAT}
	\end{dplltabular}
}

Conflict in step 17\\
\scalebox{0.75}{

\begin{tikzpicture}[>=latex,line join=bevel,]
  \pgfsetlinewidth{1bp}
%%
\pgfsetcolor{black}
  % Edge: 0 -> 7
  \draw [->] (1.0536bp,30.0bp) .. controls (2.5071bp,30.0bp) and (33.188bp,30.0bp)  .. (64.696bp,30.0bp);
  \definecolor{strokecol}{rgb}{0.0,0.0,0.0};
  \pgfsetstrokecolor{strokecol}
  \draw (33.0bp,37.5bp) node {$$8$$};
  % Edge: 2 -> 3
  \draw [->] (173.3bp,30.0bp) .. controls (186.47bp,30.0bp) and (209.58bp,30.0bp)  .. (236.88bp,30.0bp);
  \draw (205.0bp,37.5bp) node {$$3$$};
  % Edge: 3 -> 4
  \draw [->] (258.97bp,32.373bp) .. controls (272.23bp,35.53bp) and (295.98bp,41.186bp)  .. (323.05bp,47.63bp);
  \draw (291.0bp,49.5bp) node {$$4$$};
  % Edge: 3 -> 5
  \draw [->] (258.07bp,25.196bp) .. controls (263.42bp,22.594bp) and (270.42bp,19.594bp)  .. (277.0bp,18.0bp) .. controls (303.72bp,11.525bp) and (335.6bp,10.402bp)  .. (366.0bp,10.619bp);
  \draw (291.0bp,25.5bp) node {$$5$$};
  % Edge: 4 -> 6
  \draw [->] (345.3bp,50.0bp) .. controls (358.47bp,50.0bp) and (381.58bp,50.0bp)  .. (408.88bp,50.0bp);
  \draw (377.0bp,57.5bp) node {$$6$$};
  % Edge: 5 -> 1
  \draw [->] (387.95bp,12.194bp) .. controls (404.12bp,14.134bp) and (436.4bp,18.008bp)  .. (467.79bp,21.775bp);
  % Edge: 6 -> 1
  \draw [->] (430.16bp,45.662bp) .. controls (438.01bp,41.945bp) and (449.56bp,36.472bp)  .. (468.68bp,27.417bp);
  % Edge: 7 -> 2
  \draw [->] (87.3bp,30.0bp) .. controls (100.47bp,30.0bp) and (123.58bp,30.0bp)  .. (150.88bp,30.0bp);
  \draw (119.0bp,37.5bp) node {$$2$$};
  % Node: 7
\begin{scope}
  \definecolor{strokecol}{rgb}{0.0,0.0,0.0};
  \pgfsetstrokecolor{strokecol}
  \draw (76.0bp,30.0bp) ellipse (11.0bp and 11.0bp);
  \draw (76.0bp,30.0bp) node {$a$};
\end{scope}
  % Node: 1
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  \definecolor{strokecol}{rgb}{0.0,0.0,0.0};
  \pgfsetstrokecolor{strokecol}
  \draw (479.0bp,23.0bp) ellipse (11.0bp and 11.0bp);
  \draw (479.0bp,23.0bp) node {$\bot$};
\end{scope}
  % Node: 2
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  \definecolor{strokecol}{rgb}{0.0,0.0,0.0};
  \pgfsetstrokecolor{strokecol}
  \draw (162.0bp,30.0bp) ellipse (11.0bp and 11.0bp);
  \draw (162.0bp,30.0bp) node {$b$};
\end{scope}
  % Node: 3
\begin{scope}
  \definecolor{strokecol}{rgb}{0.0,0.0,0.0};
  \pgfsetstrokecolor{strokecol}
  \draw (248.0bp,30.0bp) ellipse (11.0bp and 11.0bp);
  \draw (248.0bp,30.0bp) node {$c$};
\end{scope}
  % Node: 4
\begin{scope}
  \definecolor{strokecol}{rgb}{0.0,0.0,0.0};
  \pgfsetstrokecolor{strokecol}
  \draw (334.0bp,50.0bp) ellipse (11.0bp and 11.0bp);
  \draw (334.0bp,50.0bp) node {$d$};
\end{scope}
  % Node: 5
\begin{scope}
  \definecolor{strokecol}{rgb}{0.0,0.0,0.0};
  \pgfsetstrokecolor{strokecol}
  \draw (377.0bp,11.0bp) ellipse (11.0bp and 11.0bp);
  \draw (377.0bp,11.0bp) node {$e$};
\end{scope}
  % Node: 6
\begin{scope}
  \definecolor{strokecol}{rgb}{0.0,0.0,0.0};
  \pgfsetstrokecolor{strokecol}
  \draw (420.0bp,50.0bp) ellipse (11.0bp and 11.0bp);
  \draw (420.0bp,50.0bp) node {$\lnot e$};
\end{scope}
%
\end{tikzpicture}


}
\begin{prooftree}
	\AxiomC{$6. \; \lnot d \lor \lnot e$}
	\AxiomC{$4. \; \lnot c \lor d$}
	\BinaryInfC{$\lnot e \lor \lnot c$}
	\AxiomC{$5. \; \lnot c \lor e$}
	\BinaryInfC{$\lnot c$}
	\AxiomC{$3. \; \lnot b \lor c$}
	\BinaryInfC{$\lnot b$}
	\AxiomC{$2. \; \lnot a \lor b$}
	\BinaryInfC{$\lnot a$}
	\AxiomC{$8. \; a$}
	\BinaryInfC{$\bot$}
\end{prooftree}

