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107 lines
3.8 KiB
107 lines
3.8 KiB
\hspace{-0.09cm}\scalebox{0.85}{
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\begin{dplltabular}{5}
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\dpllStep{12|13|14|15|16}
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\dpllDecL{0|0|0|0|0}
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\dpllAssi{ - |$a$|$a, c$|$a, c, b$|\makecell{$a, c, b, $ \\ $\lnot e$}}
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\dpllClause{1}{$\lnot b, \lnot e$}{$\lnot b, \lnot e$|$\lnot b, \lnot e$|$\lnot b, \lnot e$|$\lnot e$|\done}
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\dpllClause{2}{$a, d, e$}{$a, d, e$|\done|\done|\done|\done}
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\dpllClause{3}{$b, \lnot c$}{$b, \lnot c$|$b, \lnot c$|$b$|\done|\done}
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\dpllClause{4}{$c, \lnot d, e$}{$c, \lnot d, e$|$c, \lnot d, e$|\done|\done|\done}
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\dpllClause{5}{$\lnot c, e$}{$\lnot c, e$|$\lnot c, e$|$e$|$e$|\conflict}
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\dpllClause{6}{$\lnot a, c$}{$\lnot a, c$|$c$|\done|\done|\done}
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\dpllClause{7}{$a, b, \lnot e$}{$a, b, \lnot e$|\done|\done|\done|\done}
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\dpllClause{8}{$a, b$}{$a, b$|\done|\done|\done|\done}
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\dpllClause{9}{$a$}{$a$|\done|\done|\done|\done}
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\dpllBCP{$a$|$c$|$b$|$\lnot e$| - }
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\dpllPL{ - | - | - | - | - }
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\dpllDeci{ - | - | - | - |UNSAT}
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\end{dplltabular}
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}
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Conflict in step 16\\
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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: 0 -> 6
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\draw [->] (1.0536bp,30.0bp) .. controls (2.5071bp,30.0bp) and (33.188bp,30.0bp) .. (64.696bp,30.0bp);
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\definecolor{strokecol}{rgb}{0.0,0.0,0.0};
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\pgfsetstrokecolor{strokecol}
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\draw (33.0bp,37.5bp) node {$$9$$};
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% Edge: 2 -> 1
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\draw [->] (344.16bp,45.662bp) .. controls (352.01bp,41.945bp) and (363.56bp,36.472bp) .. (382.68bp,27.417bp);
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% Edge: 3 -> 2
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\draw [->] (259.3bp,50.0bp) .. controls (272.47bp,50.0bp) and (295.58bp,50.0bp) .. (322.88bp,50.0bp);
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\draw (291.0bp,57.5bp) node {$$1$$};
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% Edge: 4 -> 1
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\draw [->] (301.95bp,12.194bp) .. controls (318.12bp,14.134bp) and (350.4bp,18.008bp) .. (381.79bp,21.775bp);
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% Edge: 5 -> 3
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\draw [->] (172.97bp,32.373bp) .. controls (186.23bp,35.53bp) and (209.98bp,41.186bp) .. (237.05bp,47.63bp);
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\draw (205.0bp,49.5bp) node {$$3$$};
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% Edge: 5 -> 4
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\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);
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\draw (205.0bp,25.5bp) node {$$5$$};
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% Edge: 6 -> 5
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\draw [->] (87.3bp,30.0bp) .. controls (100.47bp,30.0bp) and (123.58bp,30.0bp) .. (150.88bp,30.0bp);
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\draw (119.0bp,37.5bp) node {$$6$$};
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% Node: 6
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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 (76.0bp,30.0bp) ellipse (11.0bp and 11.0bp);
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\draw (76.0bp,30.0bp) node {$a$};
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\end{scope}
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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 (393.0bp,23.0bp) ellipse (11.0bp and 11.0bp);
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\draw (393.0bp,23.0bp) node {$\bot$};
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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 (334.0bp,50.0bp) ellipse (11.0bp and 11.0bp);
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\draw (334.0bp,50.0bp) node {$\lnot e$};
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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 (248.0bp,50.0bp) ellipse (11.0bp and 11.0bp);
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\draw (248.0bp,50.0bp) node {$b$};
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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 (291.0bp,11.0bp) ellipse (11.0bp and 11.0bp);
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\draw (291.0bp,11.0bp) node {$e$};
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\end{scope}
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% Node: 5
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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 (162.0bp,30.0bp) ellipse (11.0bp and 11.0bp);
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\draw (162.0bp,30.0bp) node {$c$};
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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{$1. \; \lnot b \lor \lnot e$}
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\AxiomC{$3. \; b \lor \lnot c$}
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\BinaryInfC{$\lnot e \lor \lnot c$}
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\AxiomC{$5. \; \lnot c \lor e$}
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\BinaryInfC{$\lnot c$}
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\AxiomC{$6. \; \lnot a \lor c$}
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\BinaryInfC{$\lnot a$}
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\AxiomC{$9. \; a$}
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\BinaryInfC{$\bot$}
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\end{prooftree}
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