\hspace{-0.09cm}\scalebox{0.85}{ \begin{dplltabular}{5} \dpllStep{12|13|14|15|16} \dpllDecL{0|0|0|0|0} \dpllAssi{ - |$a$|$a, c$|$a, c, b$|\makecell{$a, c, b, $ \\ $\lnot e$}} \dpllClause{1}{$\lnot b, \lnot e$}{$\lnot b, \lnot e$|$\lnot b, \lnot e$|$\lnot b, \lnot e$|$\lnot e$|\done} \dpllClause{2}{$a, d, e$}{$a, d, e$|\done|\done|\done|\done} \dpllClause{3}{$b, \lnot c$}{$b, \lnot c$|$b, \lnot c$|$b$|\done|\done} \dpllClause{4}{$c, \lnot d, e$}{$c, \lnot d, e$|$c, \lnot d, e$|\done|\done|\done} \dpllClause{5}{$\lnot c, e$}{$\lnot c, e$|$\lnot c, e$|$e$|$e$|\conflict} \dpllClause{6}{$\lnot a, c$}{$\lnot a, c$|$c$|\done|\done|\done} \dpllClause{7}{$a, b, \lnot e$}{$a, b, \lnot e$|\done|\done|\done|\done} \dpllClause{8}{$a, b$}{$a, b$|\done|\done|\done|\done} \dpllClause{9}{$a$}{$a$|\done|\done|\done|\done} \dpllBCP{$a$|$c$|$b$|$\lnot e$| - } \dpllPL{ - | - | - | - | - } \dpllDeci{ - | - | - | - |UNSAT} \end{dplltabular} } Conflict in step 16\\ \scalebox{0.75}{ \begin{tikzpicture}[>=latex,line join=bevel,] \pgfsetlinewidth{1bp} %% \pgfsetcolor{black} % Edge: 0 -> 6 \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 {$$9$$}; % Edge: 2 -> 1 \draw [->] (344.16bp,45.662bp) .. controls (352.01bp,41.945bp) and (363.56bp,36.472bp) .. (382.68bp,27.417bp); % Edge: 3 -> 2 \draw [->] (259.3bp,50.0bp) .. controls (272.47bp,50.0bp) and (295.58bp,50.0bp) .. (322.88bp,50.0bp); \draw (291.0bp,57.5bp) node {$$1$$}; % Edge: 4 -> 1 \draw [->] (301.95bp,12.194bp) .. controls (318.12bp,14.134bp) and (350.4bp,18.008bp) .. (381.79bp,21.775bp); % Edge: 5 -> 3 \draw [->] (172.97bp,32.373bp) .. controls (186.23bp,35.53bp) and (209.98bp,41.186bp) .. (237.05bp,47.63bp); \draw (205.0bp,49.5bp) node {$$3$$}; % Edge: 5 -> 4 \draw [->] (172.07bp,25.196bp) .. controls (177.42bp,22.594bp) and (184.42bp,19.594bp) .. (191.0bp,18.0bp) .. controls (217.72bp,11.525bp) and (249.6bp,10.402bp) .. (280.0bp,10.619bp); \draw (205.0bp,25.5bp) node {$$5$$}; % Edge: 6 -> 5 \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 {$$6$$}; % Node: 6 \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 \begin{scope} \definecolor{strokecol}{rgb}{0.0,0.0,0.0}; \pgfsetstrokecolor{strokecol} \draw (393.0bp,23.0bp) ellipse (11.0bp and 11.0bp); \draw (393.0bp,23.0bp) node {$\bot$}; \end{scope} % Node: 2 \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 {$\lnot e$}; \end{scope} % Node: 3 \begin{scope} \definecolor{strokecol}{rgb}{0.0,0.0,0.0}; \pgfsetstrokecolor{strokecol} \draw (248.0bp,50.0bp) ellipse (11.0bp and 11.0bp); \draw (248.0bp,50.0bp) node {$b$}; \end{scope} % Node: 4 \begin{scope} \definecolor{strokecol}{rgb}{0.0,0.0,0.0}; \pgfsetstrokecolor{strokecol} \draw (291.0bp,11.0bp) ellipse (11.0bp and 11.0bp); \draw (291.0bp,11.0bp) node {$e$}; \end{scope} % Node: 5 \begin{scope} \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 {$c$}; \end{scope} % \end{tikzpicture} } \begin{prooftree} \AxiomC{$1. \; \lnot b \lor \lnot e$} \AxiomC{$3. \; b \lor \lnot c$} \BinaryInfC{$\lnot e \lor \lnot c$} \AxiomC{$5. \; \lnot c \lor e$} \BinaryInfC{$\lnot c$} \AxiomC{$6. \; \lnot a \lor c$} \BinaryInfC{$\lnot a$} \AxiomC{$9. \; a$} \BinaryInfC{$\bot$} \end{prooftree}