\hspace{-0.09cm}\scalebox{0.85}{ \begin{dplltabular}{6} \dpllStep{1|2|3|4|5|6} \dpllDecL{0|1|2|2|2|2} \dpllAssi{ - |$\lnot a$|$\lnot a, \lnot b$|$\lnot a, \lnot b, c$|\makecell{$\lnot a, \lnot b, c, $ \\ $d$}|\makecell{$\lnot a, \lnot b, c, $ \\ $d, \lnot e$}} \dpllClause{1}{$a, b, c$}{$a, b, c$|$b, c$|$c$|\done|\done|\done} \dpllClause{2}{$\lnot a, b$}{$\lnot a, b$|\done|\done|\done|\done|\done} \dpllClause{3}{$\lnot b, c$}{$\lnot b, c$|$\lnot b, c$|\done|\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} \dpllBCP{ - | - |$c$|$d$|$\lnot e$| - } \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 -> 4 \draw [->] (21.966bp,68.127bp) .. controls (35.227bp,64.97bp) and (58.98bp,59.314bp) .. (86.047bp,52.87bp); \definecolor{strokecol}{rgb}{0.0,0.0,0.0}; \pgfsetstrokecolor{strokecol} \draw (54.0bp,70.0bp) node {$$1$$}; % Edge: 2 -> 4 \draw [->] (22.172bp,29.583bp) .. controls (33.596bp,28.885bp) and (52.558bp,28.73bp) .. (68.0bp,33.5bp) .. controls (71.81bp,34.677bp) and (75.634bp,36.485bp) .. (87.704bp,43.958bp); \draw (54.0bp,41.0bp) node {$$1$$}; % Edge: 4 -> 5 \draw [->] (107.97bp,52.873bp) .. controls (121.23bp,56.03bp) and (144.98bp,61.686bp) .. (172.05bp,68.13bp); \draw (140.0bp,70.0bp) node {$$4$$}; % Edge: 4 -> 6 \draw [->] (107.07bp,45.696bp) .. controls (112.42bp,43.094bp) and (119.42bp,40.094bp) .. (126.0bp,38.5bp) .. controls (152.72bp,32.025bp) and (184.6bp,30.902bp) .. (215.0bp,31.119bp); \draw (140.0bp,46.0bp) node {$$5$$}; % Edge: 5 -> 7 \draw [->] (194.3bp,70.5bp) .. controls (207.47bp,70.5bp) and (230.58bp,70.5bp) .. (257.88bp,70.5bp); \draw (226.0bp,78.0bp) node {$$6$$}; % Edge: 6 -> 3 \draw [->] (236.95bp,32.694bp) .. controls (253.12bp,34.634bp) and (285.4bp,38.508bp) .. (316.79bp,42.275bp); % Edge: 7 -> 3 \draw [->] (279.16bp,66.162bp) .. controls (287.01bp,62.445bp) and (298.56bp,56.972bp) .. (317.68bp,47.917bp); % Node: 1 \begin{scope} \definecolor{strokecol}{rgb}{0.0,0.0,0.0}; \pgfsetstrokecolor{strokecol} \draw (11.0bp,70.5bp) ellipse (11.0bp and 11.0bp); \draw (11.0bp,70.5bp) node {$\lnot b$}; \end{scope} % Node: 4 \begin{scope} \definecolor{strokecol}{rgb}{0.0,0.0,0.0}; \pgfsetstrokecolor{strokecol} \draw (97.0bp,50.5bp) ellipse (11.0bp and 11.0bp); \draw (97.0bp,50.5bp) node {$c$}; \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: 3 \begin{scope} \definecolor{strokecol}{rgb}{0.0,0.0,0.0}; \pgfsetstrokecolor{strokecol} \draw (328.0bp,43.5bp) ellipse (11.0bp and 11.0bp); \draw (328.0bp,43.5bp) node {$\bot$}; \end{scope} % Node: 5 \begin{scope} \definecolor{strokecol}{rgb}{0.0,0.0,0.0}; \pgfsetstrokecolor{strokecol} \draw (183.0bp,70.5bp) ellipse (11.0bp and 11.0bp); \draw (183.0bp,70.5bp) node {$d$}; \end{scope} % Node: 6 \begin{scope} \definecolor{strokecol}{rgb}{0.0,0.0,0.0}; \pgfsetstrokecolor{strokecol} \draw (226.0bp,31.5bp) ellipse (11.0bp and 11.0bp); \draw (226.0bp,31.5bp) node {$e$}; \end{scope} % Node: 7 \begin{scope} \definecolor{strokecol}{rgb}{0.0,0.0,0.0}; \pgfsetstrokecolor{strokecol} \draw (269.0bp,70.5bp) ellipse (11.0bp and 11.0bp); \draw (269.0bp,70.5bp) node {$\lnot e$}; \end{scope} % \end{tikzpicture} } \hspace{-0.09cm}\scalebox{0.85}{ \begin{dplltabular}{4} \dpllStep{7|8|9|10} \dpllDecL{0|0|0|0} \dpllAssi{ - |$\lnot c$|$\lnot c, \lnot b$|$\lnot c, \lnot b, \lnot a$} \dpllClause{1}{$a, b, c$}{$a, b, c$|$a, b$|$a$|\conflict} \dpllClause{2}{$\lnot a, b$}{$\lnot a, b$|$\lnot a, b$|$\lnot a$|\done} \dpllClause{3}{$\lnot b, c$}{$\lnot b, c$|$\lnot b$|\done|\done} \dpllClause{4}{$\lnot c, d$}{$\lnot c, d$|\done|\done|\done} \dpllClause{5}{$\lnot c, e$}{$\lnot c, e$|\done|\done|\done} \dpllClause{6}{$\lnot d, \lnot e$}{$\lnot d, \lnot e$|$\lnot d, \lnot e$|$\lnot d, \lnot e$|$\lnot d, \lnot e$} \dpllClause{7}{$\lnot c$}{$\lnot c$|\done|\done|\done} \dpllBCP{$\lnot c$|$\lnot b$|$\lnot a$| - } \dpllPL{ - | - | - | - } \dpllDeci{ - | - | - |UNSAT} \end{dplltabular} } Conflict in step 10\\ \scalebox{0.75}{ \begin{tikzpicture}[>=latex,line join=bevel,] \pgfsetlinewidth{1bp} %% \pgfsetcolor{black} % Edge: 0 -> 5 \draw [->] (1.0536bp,56.0bp) .. controls (2.5071bp,56.0bp) and (33.188bp,56.0bp) .. (64.696bp,56.0bp); \definecolor{strokecol}{rgb}{0.0,0.0,0.0}; \pgfsetstrokecolor{strokecol} \draw (33.0bp,63.5bp) node {$$7$$}; % Edge: 2 -> 1 \draw [->] (264.67bp,47.438bp) .. controls (272.41bp,44.585bp) and (283.51bp,40.495bp) .. (302.47bp,33.51bp); % Edge: 3 -> 1 \draw [->] (264.67bp,14.223bp) .. controls (272.24bp,16.746bp) and (283.02bp,20.339bp) .. (302.09bp,26.697bp); % Edge: 4 -> 2 \draw [->] (175.98bp,34.18bp) .. controls (189.88bp,37.215bp) and (215.36bp,42.779bp) .. (243.14bp,48.846bp); \draw (211.0bp,51.5bp) node {$$1$$}; % Edge: 4 -> 3 \draw [->] (175.33bp,27.798bp) .. controls (181.39bp,25.214bp) and (189.54bp,22.021bp) .. (197.0bp,20.0bp) .. controls (208.71bp,16.83bp) and (222.12bp,14.627bp) .. (242.95bp,11.971bp); \draw (211.0bp,27.5bp) node {$$2$$}; % Edge: 5 -> 2 \draw [->] (86.411bp,59.835bp) .. controls (91.762bp,61.808bp) and (98.644bp,64.004bp) .. (105.0bp,65.0bp) .. controls (128.93bp,68.751bp) and (181.64bp,72.391bp) .. (225.0bp,63.0bp) .. controls (228.2bp,62.306bp) and (231.5bp,61.244bp) .. (243.96bp,55.925bp); \draw (165.0bp,75.5bp) node {$$1$$}; % Edge: 5 -> 4 \draw [->] (86.98bp,53.247bp) .. controls (100.94bp,49.395bp) and (126.6bp,42.318bp) .. (154.14bp,34.721bp); \draw (119.0bp,55.5bp) node {$$3$$}; % Node: 5 \begin{scope} \definecolor{strokecol}{rgb}{0.0,0.0,0.0}; \pgfsetstrokecolor{strokecol} \draw (76.0bp,56.0bp) ellipse (11.0bp and 11.0bp); \draw (76.0bp,56.0bp) node {$\lnot c$}; \end{scope} % Node: 1 \begin{scope} \definecolor{strokecol}{rgb}{0.0,0.0,0.0}; \pgfsetstrokecolor{strokecol} \draw (313.0bp,30.0bp) ellipse (11.0bp and 11.0bp); \draw (313.0bp,30.0bp) node {$\bot$}; \end{scope} % Node: 2 \begin{scope} \definecolor{strokecol}{rgb}{0.0,0.0,0.0}; \pgfsetstrokecolor{strokecol} \draw (254.0bp,51.0bp) ellipse (11.0bp and 11.0bp); \draw (254.0bp,51.0bp) node {$a$}; \end{scope} % Node: 3 \begin{scope} \definecolor{strokecol}{rgb}{0.0,0.0,0.0}; \pgfsetstrokecolor{strokecol} \draw (254.0bp,11.0bp) ellipse (11.0bp and 11.0bp); \draw (254.0bp,11.0bp) node {$\lnot a$}; \end{scope} % Node: 4 \begin{scope} \definecolor{strokecol}{rgb}{0.0,0.0,0.0}; \pgfsetstrokecolor{strokecol} \draw (165.0bp,32.0bp) ellipse (11.0bp and 11.0bp); \draw (165.0bp,32.0bp) node {$\lnot b$}; \end{scope} % \end{tikzpicture} }