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93 lines
3.2 KiB
93 lines
3.2 KiB
\hspace{-0.09cm}\scalebox{0.85}{
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\begin{dplltabular}{4}
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\dpllStep{1|2|3|4}
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\dpllDecL{0|0|1|1}
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\dpllAssi{ - |$\lnot a$|$\lnot a, b$|$\lnot a, b, e$}
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\dpllClause{1}{$\lnot a, d$}{$\lnot a, d$|\done|\done|\done}
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\dpllClause{2}{$\lnot d, c, \lnot a$}{$\lnot d, c, \lnot a$|\done|\done|\done}
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\dpllClause{3}{$\lnot b, e$}{$\lnot b, e$|$\lnot b, e$|$e$|\done}
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\dpllClause{4}{$\lnot b, \lnot e$}{$\lnot b, \lnot e$|$\lnot b, \lnot e$|$\lnot e$|\conflict}
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\dpllClause{5}{$\lnot b, f$}{$\lnot b, f$|$\lnot b, f$|$f$|$f$}
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\dpllClause{6}{$b, \lnot f$}{$b, \lnot f$|$b, \lnot f$|\done|\done}
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\dpllBCP{ - | - |$e$| - }
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\dpllPL{$\lnot a$| - | - | - }
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\dpllDeci{ - |$b$| - | - }
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\end{dplltabular}
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}
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Conflict in step 4\\
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\scalebox{0.75}{
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\begin{tikzpicture}[>=latex,line join=bevel,]
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\pgfsetlinewidth{1bp}
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%%
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\pgfsetcolor{black}
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% Edge: 1 -> 3
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\draw [->] (21.966bp,33.373bp) .. controls (35.227bp,36.53bp) and (58.98bp,42.186bp) .. (86.047bp,48.63bp);
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\definecolor{strokecol}{rgb}{0.0,0.0,0.0};
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\pgfsetstrokecolor{strokecol}
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\draw (54.0bp,50.5bp) node {$$3$$};
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% Edge: 1 -> 4
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\draw [->] (21.111bp,26.371bp) .. controls (26.482bp,23.828bp) and (33.482bp,20.828bp) .. (40.0bp,19.0bp) .. controls (51.65bp,15.733bp) and (65.057bp,13.758bp) .. (85.923bp,11.639bp);
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\draw (54.0bp,26.5bp) node {$$4$$};
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% Edge: 3 -> 2
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\draw [->] (107.67bp,47.438bp) .. controls (115.41bp,44.585bp) and (126.51bp,40.495bp) .. (145.47bp,33.51bp);
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% Edge: 4 -> 2
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\draw [->] (107.67bp,14.223bp) .. controls (115.24bp,16.746bp) and (126.02bp,20.339bp) .. (145.09bp,26.697bp);
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% Node: 1
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\begin{scope}
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\definecolor{strokecol}{rgb}{0.0,0.0,0.0};
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\pgfsetstrokecolor{strokecol}
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\draw (11.0bp,31.0bp) ellipse (11.0bp and 11.0bp);
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\draw (11.0bp,31.0bp) node {$b$};
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\end{scope}
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% Node: 3
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\begin{scope}
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\definecolor{strokecol}{rgb}{0.0,0.0,0.0};
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\pgfsetstrokecolor{strokecol}
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\draw (97.0bp,51.0bp) ellipse (11.0bp and 11.0bp);
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\draw (97.0bp,51.0bp) node {$e$};
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\end{scope}
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% Node: 4
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\begin{scope}
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\definecolor{strokecol}{rgb}{0.0,0.0,0.0};
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\pgfsetstrokecolor{strokecol}
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\draw (97.0bp,11.0bp) ellipse (11.0bp and 11.0bp);
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\draw (97.0bp,11.0bp) node {$\lnot e$};
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\end{scope}
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% Node: 2
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\begin{scope}
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\definecolor{strokecol}{rgb}{0.0,0.0,0.0};
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\pgfsetstrokecolor{strokecol}
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\draw (156.0bp,30.0bp) ellipse (11.0bp and 11.0bp);
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\draw (156.0bp,30.0bp) node {$\bot$};
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\end{scope}
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%
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\end{tikzpicture}
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}
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\begin{prooftree}
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\AxiomC{$3. \; \lnot b \lor e$}
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\AxiomC{$4. \; \lnot b \lor \lnot e$}
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\BinaryInfC{$\lnot b$}
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\end{prooftree}
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\hspace{-0.09cm}\scalebox{0.85}{
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\begin{dplltabular}{3}
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\dpllStep{5|6|7}
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\dpllDecL{0|0|0}
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\dpllAssi{$\lnot a$|$\lnot a, \lnot b$|$\lnot a, \lnot b, \lnot f$}
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\dpllClause{1}{$\lnot a, d$}{\done|\done|\done}
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\dpllClause{2}{$\lnot d, c, \lnot a$}{\done|\done|\done}
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\dpllClause{3}{$\lnot b, e$}{$\lnot b, e$|\done|\done}
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\dpllClause{4}{$\lnot b, \lnot e$}{$\lnot b, \lnot e$|\done|\done}
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\dpllClause{5}{$\lnot b, f$}{$\lnot b, f$|\done|\done}
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\dpllClause{6}{$b, \lnot f$}{$b, \lnot f$|$\lnot f$|\done}
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\dpllClause{7}{$\lnot b$}{$\lnot b$|\done|\done}
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\dpllBCP{$\lnot b$|$\lnot f$| - }
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\dpllPL{ - | - | - }
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\dpllDeci{ - | - |SAT}
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\end{dplltabular}
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}
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