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

Conflict in step 6\\
\scalebox{0.75}{

\begin{tikzpicture}[>=latex,line join=bevel,]
  \pgfsetlinewidth{1bp}
%%
\pgfsetcolor{black}
  % Edge: 1 -> 5
  \draw [->] (21.98bp,107.68bp) .. controls (35.878bp,110.71bp) and (61.357bp,116.28bp)  .. (89.136bp,122.35bp);
  \definecolor{strokecol}{rgb}{0.0,0.0,0.0};
  \pgfsetstrokecolor{strokecol}
  \draw (54.0bp,124.0bp) node {$$3$$};
  % Edge: 1 -> 7
  \draw [->] (21.223bp,100.91bp) .. controls (26.631bp,98.299bp) and (33.631bp,95.049bp)  .. (40.0bp,92.5bp) .. controls (53.069bp,87.269bp) and (68.1bp,82.187bp)  .. (89.278bp,75.441bp);
  \draw (54.0bp,100.0bp) node {$$7$$};
  % Edge: 2 -> 4
  \draw [->] (22.153bp,30.975bp) .. controls (40.514bp,31.883bp) and (80.448bp,34.085bp)  .. (114.0bp,37.5bp) .. controls (132.29bp,39.362bp) and (153.03bp,42.23bp)  .. (177.97bp,45.931bp);
  \draw (100.0bp,45.0bp) node {$$2$$};
  % Edge: 2 -> 7
  \draw [->] (21.311bp,34.995bp) .. controls (35.439bp,41.815bp) and (62.567bp,54.912bp)  .. (89.756bp,68.038bp);
  \draw (54.0bp,64.0bp) node {$$7$$};
  % Edge: 4 -> 3
  \draw [->] (199.67bp,50.723bp) .. controls (207.24bp,53.246bp) and (218.02bp,56.839bp)  .. (237.09bp,63.197bp);
  % Edge: 5 -> 6
  \draw [->] (110.72bp,121.02bp) .. controls (122.5bp,116.74bp) and (142.92bp,109.08bp)  .. (160.0bp,101.5bp) .. controls (163.18bp,100.09bp) and (166.52bp,98.509bp)  .. (178.77bp,92.384bp);
  \draw (146.0bp,120.0bp) node {$$4$$};
  % Edge: 6 -> 3
  \draw [->] (199.67bp,83.938bp) .. controls (207.41bp,81.085bp) and (218.51bp,76.995bp)  .. (237.47bp,70.01bp);
  % Edge: 7 -> 4
  \draw [->] (110.01bp,67.766bp) .. controls (116.08bp,64.741bp) and (124.35bp,60.943bp)  .. (132.0bp,58.5bp) .. controls (143.63bp,54.787bp) and (157.03bp,52.1bp)  .. (177.91bp,48.768bp);
  \draw (146.0bp,66.0bp) node {$$2$$};
  % Edge: 7 -> 6
  \draw [->] (110.98bp,74.221bp) .. controls (124.8bp,76.604bp) and (150.09bp,80.963bp)  .. (177.87bp,85.753bp);
  \draw (146.0bp,90.0bp) node {$$4$$};
  % Node: 1
\begin{scope}
  \definecolor{strokecol}{rgb}{0.0,0.0,0.0};
  \pgfsetstrokecolor{strokecol}
  \draw (11.0bp,105.5bp) ellipse (11.0bp and 11.0bp);
  \draw (11.0bp,105.5bp) node {$\lnot b$};
\end{scope}
  % Node: 5
\begin{scope}
  \definecolor{strokecol}{rgb}{0.0,0.0,0.0};
  \pgfsetstrokecolor{strokecol}
  \draw (100.0bp,124.5bp) ellipse (11.0bp and 11.0bp);
  \draw (100.0bp,124.5bp) node {$\lnot c$};
\end{scope}
  % Node: 7
\begin{scope}
  \definecolor{strokecol}{rgb}{0.0,0.0,0.0};
  \pgfsetstrokecolor{strokecol}
  \draw (100.0bp,72.5bp) ellipse (11.0bp and 11.0bp);
  \draw (100.0bp,72.5bp) node {$\lnot e$};
\end{scope}
  % Node: 2
\begin{scope}
  \definecolor{strokecol}{rgb}{0.0,0.0,0.0};
  \pgfsetstrokecolor{strokecol}
  \draw (11.0bp,30.5bp) ellipse (11.0bp and 11.0bp);
  \draw (11.0bp,30.5bp) node {$\lnot a$};
\end{scope}
  % Node: 4
\begin{scope}
  \definecolor{strokecol}{rgb}{0.0,0.0,0.0};
  \pgfsetstrokecolor{strokecol}
  \draw (189.0bp,47.5bp) ellipse (11.0bp and 11.0bp);
  \draw (189.0bp,47.5bp) node {$d$};
\end{scope}
  % Node: 3
\begin{scope}
  \definecolor{strokecol}{rgb}{0.0,0.0,0.0};
  \pgfsetstrokecolor{strokecol}
  \draw (248.0bp,66.5bp) ellipse (11.0bp and 11.0bp);
  \draw (248.0bp,66.5bp) node {$\bot$};
\end{scope}
  % Node: 6
\begin{scope}
  \definecolor{strokecol}{rgb}{0.0,0.0,0.0};
  \pgfsetstrokecolor{strokecol}
  \draw (189.0bp,87.5bp) ellipse (11.0bp and 11.0bp);
  \draw (189.0bp,87.5bp) node {$\lnot d$};
\end{scope}
%
\end{tikzpicture}


}
\begin{prooftree}
	\AxiomC{$2. \; a \lor d \lor e$}
	\AxiomC{$4. \; c \lor \lnot d \lor e$}
	\BinaryInfC{$a \lor e \lor c$}
	\AxiomC{$7. \; a \lor b \lor \lnot e$}
	\BinaryInfC{$a \lor c \lor b$}
	\AxiomC{$3. \; b \lor \lnot c$}
	\BinaryInfC{$a \lor b$}
\end{prooftree}

\hspace{-0.09cm}\scalebox{0.85}{
	\begin{dplltabular}{5}
		\dpllStep{7|8|9|10|11}
		\dpllDecL{1|1|1|1|1}
		\dpllAssi{$\lnot a$|$\lnot a, b$|$\lnot a, b, \lnot e$|\makecell{$\lnot a, b, \lnot e, $ \\ $\lnot c$}|\makecell{$\lnot a, b, \lnot e, $ \\ $\lnot c, \lnot d$}}
		\dpllClause{1}{$\lnot b, \lnot e$}{$\lnot b, \lnot e$|$\lnot e$|\done|\done|\done}
		\dpllClause{2}{$a, d, e$}{$d, e$|$d, e$|$d$|$d$|\conflict}
		\dpllClause{3}{$b, \lnot c$}{$b, \lnot c$|\done|\done|\done|\done}
		\dpllClause{4}{$c, \lnot d, e$}{$c, \lnot d, e$|$c, \lnot d, e$|$c, \lnot d$|$\lnot d$|\done}
		\dpllClause{5}{$\lnot c, e$}{$\lnot c, e$|$\lnot c, e$|$\lnot c$|\done|\done}
		\dpllClause{6}{$\lnot a, c$}{\done|\done|\done|\done|\done}
		\dpllClause{7}{$a, b, \lnot e$}{$b, \lnot e$|\done|\done|\done|\done}
		\dpllClause{8}{$a, b$}{$b$|\done|\done|\done|\done}
		\dpllBCP{$b$|$\lnot e$|$\lnot c$|$\lnot d$| - }
		\dpllPL{ - | - | - | - | - }
		\dpllDeci{ - | - | - | - | - }
	\end{dplltabular}
}

Conflict in step 11\\
\scalebox{0.75}{

\begin{tikzpicture}[>=latex,line join=bevel,]
  \pgfsetlinewidth{1bp}
%%
\pgfsetcolor{black}
  % Edge: 1 -> 4
  \draw [->] (22.088bp,105.34bp) .. controls (27.406bp,105.99bp) and (34.044bp,106.68bp)  .. (40.0bp,107.0bp) .. controls (128.76bp,111.74bp) and (151.4bp,114.1bp)  .. (240.0bp,107.0bp) .. controls (243.53bp,106.72bp) and (247.27bp,106.26bp)  .. (261.0bp,104.03bp);
  \definecolor{strokecol}{rgb}{0.0,0.0,0.0};
  \pgfsetstrokecolor{strokecol}
  \draw (140.0bp,119.5bp) node {$$2$$};
  % Edge: 1 -> 7
  \draw [->] (21.216bp,99.701bp) .. controls (26.622bp,97.268bp) and (33.622bp,94.268bp)  .. (40.0bp,92.0bp) .. controls (51.861bp,87.783bp) and (65.43bp,83.883bp)  .. (85.966bp,78.457bp);
  \draw (54.0bp,99.5bp) node {$$8$$};
  % Edge: 3 -> 4
  \draw [->] (193.64bp,73.547bp) .. controls (207.62bp,78.689bp) and (233.81bp,88.321bp)  .. (261.31bp,98.437bp);
  \draw (226.0bp,97.5bp) node {$$2$$};
  % Edge: 3 -> 5
  \draw [->] (194.22bp,69.303bp) .. controls (222.41bp,67.381bp) and (301.66bp,61.978bp)  .. (349.75bp,58.699bp);
  \draw (272.0bp,72.5bp) node {$$4$$};
  % Edge: 3 -> 6
  \draw [->] (188.34bp,60.121bp) .. controls (192.93bp,50.793bp) and (201.03bp,37.066bp)  .. (212.0bp,29.0bp) .. controls (223.36bp,20.648bp) and (238.65bp,16.125bp)  .. (260.91bp,12.018bp);
  \draw (226.0bp,36.5bp) node {$$5$$};
  % Edge: 4 -> 2
  \draw [->] (283.04bp,100.42bp) .. controls (306.89bp,96.661bp) and (367.37bp,87.133bp)  .. (408.89bp,80.592bp);
  % Edge: 5 -> 2
  \draw [->] (371.67bp,61.562bp) .. controls (379.41bp,64.415bp) and (390.51bp,68.505bp)  .. (409.47bp,75.49bp);
  % Edge: 6 -> 5
  \draw [->] (283.25bp,12.51bp) .. controls (295.55bp,14.674bp) and (316.47bp,19.492bp)  .. (332.0bp,29.0bp) .. controls (337.58bp,32.419bp) and (342.82bp,37.21bp)  .. (353.76bp,49.494bp);
  \draw (318.0bp,36.5bp) node {$$4$$};
  % Edge: 7 -> 3
  \draw [->] (108.3bp,75.264bp) .. controls (121.47bp,74.324bp) and (144.58bp,72.673bp)  .. (171.88bp,70.723bp);
  \draw (140.0bp,81.5bp) node {$$1$$};
  % Node: 1
\begin{scope}
  \definecolor{strokecol}{rgb}{0.0,0.0,0.0};
  \pgfsetstrokecolor{strokecol}
  \draw (11.0bp,104.0bp) ellipse (11.0bp and 11.0bp);
  \draw (11.0bp,104.0bp) node {$\lnot a$};
\end{scope}
  % Node: 4
\begin{scope}
  \definecolor{strokecol}{rgb}{0.0,0.0,0.0};
  \pgfsetstrokecolor{strokecol}
  \draw (272.0bp,102.0bp) ellipse (11.0bp and 11.0bp);
  \draw (272.0bp,102.0bp) node {$d$};
\end{scope}
  % Node: 7
\begin{scope}
  \definecolor{strokecol}{rgb}{0.0,0.0,0.0};
  \pgfsetstrokecolor{strokecol}
  \draw (97.0bp,76.0bp) ellipse (11.0bp and 11.0bp);
  \draw (97.0bp,76.0bp) node {$b$};
\end{scope}
  % Node: 2
\begin{scope}
  \definecolor{strokecol}{rgb}{0.0,0.0,0.0};
  \pgfsetstrokecolor{strokecol}
  \draw (420.0bp,79.0bp) ellipse (11.0bp and 11.0bp);
  \draw (420.0bp,79.0bp) node {$\bot$};
\end{scope}
  % Node: 3
\begin{scope}
  \definecolor{strokecol}{rgb}{0.0,0.0,0.0};
  \pgfsetstrokecolor{strokecol}
  \draw (183.0bp,70.0bp) ellipse (11.0bp and 11.0bp);
  \draw (183.0bp,70.0bp) node {$\lnot e$};
\end{scope}
  % Node: 5
\begin{scope}
  \definecolor{strokecol}{rgb}{0.0,0.0,0.0};
  \pgfsetstrokecolor{strokecol}
  \draw (361.0bp,58.0bp) ellipse (11.0bp and 11.0bp);
  \draw (361.0bp,58.0bp) node {$\lnot d$};
\end{scope}
  % Node: 6
\begin{scope}
  \definecolor{strokecol}{rgb}{0.0,0.0,0.0};
  \pgfsetstrokecolor{strokecol}
  \draw (272.0bp,11.0bp) ellipse (11.0bp and 11.0bp);
  \draw (272.0bp,11.0bp) node {$\lnot c$};
\end{scope}
%
\end{tikzpicture}


}
\begin{prooftree}
	\AxiomC{$4. \; c \lor \lnot d \lor e$}
	\AxiomC{$2. \; a \lor d \lor e$}
	\BinaryInfC{$c \lor e \lor a$}
	\AxiomC{$5. \; \lnot c \lor e$}
	\BinaryInfC{$e \lor a$}
	\AxiomC{$1. \; \lnot b \lor \lnot e$}
	\BinaryInfC{$a \lor \lnot b$}
	\AxiomC{$8. \; a \lor b$}
	\BinaryInfC{$a$}
\end{prooftree}