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<a href="drat__proof__handler_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span><span class="comment">// Copyright 2010-2021 Google LLC</span></div>
<div class="line"><a id="l00002" name="l00002"></a><span class="lineno"> 2</span><span class="comment">// Licensed under the Apache License, Version 2.0 (the &quot;License&quot;);</span></div>
<div class="line"><a id="l00003" name="l00003"></a><span class="lineno"> 3</span><span class="comment">// you may not use this file except in compliance with the License.</span></div>
<div class="line"><a id="l00004" name="l00004"></a><span class="lineno"> 4</span><span class="comment">// You may obtain a copy of the License at</span></div>
<div class="line"><a id="l00005" name="l00005"></a><span class="lineno"> 5</span><span class="comment">//</span></div>
<div class="line"><a id="l00006" name="l00006"></a><span class="lineno"> 6</span><span class="comment">// http://www.apache.org/licenses/LICENSE-2.0</span></div>
<div class="line"><a id="l00007" name="l00007"></a><span class="lineno"> 7</span><span class="comment">//</span></div>
<div class="line"><a id="l00008" name="l00008"></a><span class="lineno"> 8</span><span class="comment">// Unless required by applicable law or agreed to in writing, software</span></div>
<div class="line"><a id="l00009" name="l00009"></a><span class="lineno"> 9</span><span class="comment">// distributed under the License is distributed on an &quot;AS IS&quot; BASIS,</span></div>
<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"> 10</span><span class="comment">// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</span></div>
<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span><span class="comment">// See the License for the specific language governing permissions and</span></div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span><span class="comment">// limitations under the License.</span></div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span> </div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span><span class="preprocessor">#ifndef OR_TOOLS_SAT_DRAT_PROOF_HANDLER_H_</span></div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span><span class="preprocessor">#define OR_TOOLS_SAT_DRAT_PROOF_HANDLER_H_</span></div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span> </div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="preprocessor">#include &lt;memory&gt;</span></div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="preprocessor">#include &lt;string&gt;</span></div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="preprocessor">#include &lt;vector&gt;</span></div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span> </div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="preprocessor">#if !defined(__PORTABLE_PLATFORM__)</span></div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="preprocessor">#include &quot;<a class="code" href="base_2file_8h.html">ortools/base/file.h</a>&quot;</span></div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="preprocessor">#endif </span><span class="comment">// !defined(__PORTABLE_PLATFORM__)</span></div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span><span class="preprocessor">#include &quot;absl/types/span.h&quot;</span></div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span><span class="preprocessor">#include &quot;<a class="code" href="strong__vector_8h.html">ortools/base/strong_vector.h</a>&quot;</span></div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span><span class="preprocessor">#include &quot;<a class="code" href="drat__checker_8h.html">ortools/sat/drat_checker.h</a>&quot;</span></div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span><span class="preprocessor">#include &quot;<a class="code" href="drat__writer_8h.html">ortools/sat/drat_writer.h</a>&quot;</span></div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span><span class="preprocessor">#include &quot;<a class="code" href="sat__base_8h.html">ortools/sat/sat_base.h</a>&quot;</span></div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span> </div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespaceoperations__research.html">operations_research</a> {</div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span><span class="keyword">namespace </span>sat {</div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> </div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span><span class="comment">// DRAT is a SAT proof format that allows a simple program to check that the</span></div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span><span class="comment">// problem is really UNSAT. The description of the format and a checker are</span></div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span><span class="comment">// available at: // http://www.cs.utexas.edu/~marijn/drat-trim/</span></div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span><span class="comment">//</span></div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span><span class="comment">// Note that DRAT proofs are often huge (can be GB), and take about as much time</span></div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span><span class="comment">// to check as it takes for the solver to find the proof in the first place!</span></div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span><span class="comment">//</span></div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span><span class="comment">// This class is used to build the SAT proof, and can either save it to disk,</span></div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span><span class="comment">// and/or store it in memory (in which case the proof can be checked when it is</span></div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span><span class="comment">// complete).</span></div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_drat_proof_handler.html"> 43</a></span><span class="keyword">class </span><a class="code hl_class" href="classoperations__research_1_1sat_1_1_drat_proof_handler.html">DratProofHandler</a> {</div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> <span class="keyword">public</span>:</div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> <span class="comment">// Use this constructor to store the DRAT proof in memory. The proof will not</span></div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> <span class="comment">// be written to disk, and can be checked with Check() when it is complete.</span></div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_drat_proof_handler.html#a08cc2dddb504d68ced5d41595b3d7dfb">DratProofHandler</a>();</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> <span class="comment">// Use this constructor to write the DRAT proof to disk, and to optionally</span></div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> <span class="comment">// store it in memory as well (in which case the proof can be checked with</span></div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> <span class="comment">// Check() when it is complete).</span></div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_drat_proof_handler.html#a08cc2dddb504d68ced5d41595b3d7dfb">DratProofHandler</a>(<span class="keywordtype">bool</span> in_binary_format, <a class="code hl_class" href="class_file.html">File</a>* output, <span class="keywordtype">bool</span> check = <span class="keyword">false</span>);</div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_drat_proof_handler.html#ab2dd5b27fe32d6cc3dcb23a116f869a0"> 52</a></span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_drat_proof_handler.html#ab2dd5b27fe32d6cc3dcb23a116f869a0">~DratProofHandler</a>() {}</div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> </div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <span class="comment">// During the presolve step, variable get deleted and the set of non-deleted</span></div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> <span class="comment">// variable is remaped in a dense set. This allows to keep track of that and</span></div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <span class="comment">// always output the DRAT clauses in term of the original variables. Must be</span></div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <span class="comment">// called before adding or deleting clauses AddClause() or DeleteClause().</span></div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> <span class="comment">//</span></div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> <span class="comment">// TODO(user): This is exactly the same mecanism as in the SatPostsolver</span></div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> <span class="comment">// class. Factor out the code.</span></div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_drat_proof_handler.html#a8155216960c6e1f5d476e1c28b2d34fa">ApplyMapping</a>(</div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> <span class="keyword">const</span> <a class="code hl_class" href="classabsl_1_1_strong_vector.html">absl::StrongVector&lt;BooleanVariable, BooleanVariable&gt;</a>&amp; mapping);</div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> </div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> <span class="comment">// This need to be called when new variables are created.</span></div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_drat_proof_handler.html#a0b58ef3a397720b272662f8bc45585cb">SetNumVariables</a>(<span class="keywordtype">int</span> num_variables);</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_drat_proof_handler.html#af78b6dc2106ca6744f8d69cf5a70dfa4">AddOneVariable</a>();</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> </div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> <span class="comment">// Adds a clause of the UNSAT problem. This must be called before any call to</span></div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> <span class="comment">// AddClause() or DeleteClause(), in order to be able to check the DRAT proof</span></div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <span class="comment">// with the Check() method when it is complete.</span></div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_drat_proof_handler.html#a54bb4f51333a0efceaf20de7b506e4ab">AddProblemClause</a>(absl::Span&lt;const Literal&gt; clause);</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> </div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> <span class="comment">// Writes a new clause to the DRAT output. The output clause is sorted so that</span></div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> <span class="comment">// newer variables always comes first. This is needed because in the DRAT</span></div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> <span class="comment">// format, the clause is checked for the RAT property with only its first</span></div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> <span class="comment">// literal. Must not be called after Check().</span></div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_drat_proof_handler.html#a98bacf41c50979896b4a5f5e41fb0ccf">AddClause</a>(absl::Span&lt;const Literal&gt; clause);</div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> </div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> <span class="comment">// Writes a &quot;deletion&quot; information about a clause that has been added before</span></div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <span class="comment">// to the DRAT output. Note that it is also possible to delete a clause from</span></div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> <span class="comment">// the problem. Must not be called after Check().</span></div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> <span class="comment">//</span></div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> <span class="comment">// Because of a limitation a the DRAT-trim tool, it seems the order of the</span></div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <span class="comment">// literals during addition and deletion should be EXACTLY the same. Because</span></div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> <span class="comment">// of this we get warnings for problem clauses.</span></div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_drat_proof_handler.html#a18349231154d0f5eaee94fe213f347e6">DeleteClause</a>(absl::Span&lt;const Literal&gt; clause);</div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> </div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> <span class="comment">// Returns VALID if the DRAT proof is correct, INVALID if it is not correct,</span></div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> <span class="comment">// or UNKNOWN if proof checking was not enabled (by choosing the right</span></div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> <span class="comment">// constructor) or timed out. This requires the problem clauses to be</span></div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> <span class="comment">// specified with AddProblemClause(), before the proof itself.</span></div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> <span class="comment">//</span></div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> <span class="comment">// WARNING: no new clause must be added or deleted after this method has been</span></div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> <span class="comment">// called.</span></div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> <a class="code hl_enumeration" href="classoperations__research_1_1sat_1_1_drat_checker.html#a67a0db04d321a74b7e7fcfd3f1a3f70b">DratChecker::Status</a> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_drat_proof_handler.html#a29037e50da43e6bda147d22c452fb91d">Check</a>(<span class="keywordtype">double</span> max_time_in_seconds);</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> </div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> <span class="keyword">private</span>:</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> <span class="keywordtype">void</span> MapClause(absl::Span&lt;const Literal&gt; clause);</div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> </div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> <span class="comment">// We need to keep track of the variable newly created.</span></div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> <span class="keywordtype">int</span> variable_index_;</div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> </div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> <span class="comment">// Temporary vector used for sorting the outputted clauses.</span></div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> std::vector&lt;Literal&gt; values_;</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> </div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> <span class="comment">// This mapping will be applied to all clause passed to AddClause() or</span></div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> <span class="comment">// DeleteClause() so that they are in term of the original problem.</span></div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> <a class="code hl_class" href="classabsl_1_1_strong_vector.html">absl::StrongVector&lt;BooleanVariable, BooleanVariable&gt;</a> reverse_mapping_;</div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> </div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> std::unique_ptr&lt;DratChecker&gt; drat_checker_;</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> std::unique_ptr&lt;DratWriter&gt; drat_writer_;</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span>};</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> </div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span>} <span class="comment">// namespace sat</span></div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span>} <span class="comment">// namespace operations_research</span></div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> </div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span><span class="preprocessor">#endif </span><span class="comment">// OR_TOOLS_SAT_DRAT_PROOF_HANDLER_H_</span></div>
<div class="ttc" id="abase_2file_8h_html"><div class="ttname"><a href="base_2file_8h.html">file.h</a></div></div>
<div class="ttc" id="aclass_file_html"><div class="ttname"><a href="class_file.html">File</a></div><div class="ttdef"><b>Definition:</b> <a href="base_2file_8h_source.html#l00033">base/file.h:33</a></div></div>
<div class="ttc" id="aclassabsl_1_1_strong_vector_html"><div class="ttname"><a href="classabsl_1_1_strong_vector.html">absl::StrongVector&lt; BooleanVariable, BooleanVariable &gt;</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_drat_checker_html_a67a0db04d321a74b7e7fcfd3f1a3f70b"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_drat_checker.html#a67a0db04d321a74b7e7fcfd3f1a3f70b">operations_research::sat::DratChecker::Status</a></div><div class="ttdeci">Status</div><div class="ttdef"><b>Definition:</b> <a href="drat__checker_8h_source.html#l00080">drat_checker.h:80</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_drat_proof_handler_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_drat_proof_handler.html">operations_research::sat::DratProofHandler</a></div><div class="ttdef"><b>Definition:</b> <a href="drat__proof__handler_8h_source.html#l00043">drat_proof_handler.h:43</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_drat_proof_handler_html_a08cc2dddb504d68ced5d41595b3d7dfb"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_drat_proof_handler.html#a08cc2dddb504d68ced5d41595b3d7dfb">operations_research::sat::DratProofHandler::DratProofHandler</a></div><div class="ttdeci">DratProofHandler()</div><div class="ttdef"><b>Definition:</b> <a href="drat__proof__handler_8cc_source.html#l00037">drat_proof_handler.cc:37</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_drat_proof_handler_html_a0b58ef3a397720b272662f8bc45585cb"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_drat_proof_handler.html#a0b58ef3a397720b272662f8bc45585cb">operations_research::sat::DratProofHandler::SetNumVariables</a></div><div class="ttdeci">void SetNumVariables(int num_variables)</div><div class="ttdef"><b>Definition:</b> <a href="drat__proof__handler_8cc_source.html#l00066">drat_proof_handler.cc:66</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_drat_proof_handler_html_a18349231154d0f5eaee94fe213f347e6"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_drat_proof_handler.html#a18349231154d0f5eaee94fe213f347e6">operations_research::sat::DratProofHandler::DeleteClause</a></div><div class="ttdeci">void DeleteClause(absl::Span&lt; const Literal &gt; clause)</div><div class="ttdef"><b>Definition:</b> <a href="drat__proof__handler_8cc_source.html#l00093">drat_proof_handler.cc:93</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_drat_proof_handler_html_a29037e50da43e6bda147d22c452fb91d"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_drat_proof_handler.html#a29037e50da43e6bda147d22c452fb91d">operations_research::sat::DratProofHandler::Check</a></div><div class="ttdeci">DratChecker::Status Check(double max_time_in_seconds)</div><div class="ttdef"><b>Definition:</b> <a href="drat__proof__handler_8cc_source.html#l00103">drat_proof_handler.cc:103</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_drat_proof_handler_html_a54bb4f51333a0efceaf20de7b506e4ab"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_drat_proof_handler.html#a54bb4f51333a0efceaf20de7b506e4ab">operations_research::sat::DratProofHandler::AddProblemClause</a></div><div class="ttdeci">void AddProblemClause(absl::Span&lt; const Literal &gt; clause)</div><div class="ttdef"><b>Definition:</b> <a href="drat__proof__handler_8cc_source.html#l00077">drat_proof_handler.cc:77</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_drat_proof_handler_html_a8155216960c6e1f5d476e1c28b2d34fa"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_drat_proof_handler.html#a8155216960c6e1f5d476e1c28b2d34fa">operations_research::sat::DratProofHandler::ApplyMapping</a></div><div class="ttdeci">void ApplyMapping(const absl::StrongVector&lt; BooleanVariable, BooleanVariable &gt; &amp;mapping)</div><div class="ttdef"><b>Definition:</b> <a href="drat__proof__handler_8cc_source.html#l00049">drat_proof_handler.cc:49</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_drat_proof_handler_html_a98bacf41c50979896b4a5f5e41fb0ccf"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_drat_proof_handler.html#a98bacf41c50979896b4a5f5e41fb0ccf">operations_research::sat::DratProofHandler::AddClause</a></div><div class="ttdeci">void AddClause(absl::Span&lt; const Literal &gt; clause)</div><div class="ttdef"><b>Definition:</b> <a href="drat__proof__handler_8cc_source.html#l00083">drat_proof_handler.cc:83</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_drat_proof_handler_html_ab2dd5b27fe32d6cc3dcb23a116f869a0"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_drat_proof_handler.html#ab2dd5b27fe32d6cc3dcb23a116f869a0">operations_research::sat::DratProofHandler::~DratProofHandler</a></div><div class="ttdeci">~DratProofHandler()</div><div class="ttdef"><b>Definition:</b> <a href="drat__proof__handler_8h_source.html#l00052">drat_proof_handler.h:52</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_drat_proof_handler_html_af78b6dc2106ca6744f8d69cf5a70dfa4"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_drat_proof_handler.html#af78b6dc2106ca6744f8d69cf5a70dfa4">operations_research::sat::DratProofHandler::AddOneVariable</a></div><div class="ttdeci">void AddOneVariable()</div><div class="ttdef"><b>Definition:</b> <a href="drat__proof__handler_8cc_source.html#l00073">drat_proof_handler.cc:73</a></div></div>
<div class="ttc" id="adrat__checker_8h_html"><div class="ttname"><a href="drat__checker_8h.html">drat_checker.h</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_html"><div class="ttname"><a href="namespaceoperations__research.html">operations_research</a></div><div class="ttdoc">Collection of objects used to extend the Constraint Solver library.</div><div class="ttdef"><b>Definition:</b> <a href="dense__doubly__linked__list_8h_source.html#l00021">dense_doubly_linked_list.h:21</a></div></div>
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