<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
<meta http-equiv="X-UA-Compatible" content="IE=9"/>
<title>CVC3: common_theorem_producer.cpp Source File</title>
<link href="tabs.css" rel="stylesheet" type="text/css"/>
<script type="text/javascript" src="jquery.js"></script>
<script type="text/javascript" src="dynsections.js"></script>
<link href="doxygen.css" rel="stylesheet" type="text/css" />
</head>
<body>
<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
<div id="titlearea">
<table cellspacing="0" cellpadding="0">
<tbody>
<tr style="height: 56px;">
<td style="padding-left: 0.5em;">
<div id="projectname">CVC3
</div>
</td>
</tr>
</tbody>
</table>
</div>
<!-- end header part -->
<!-- Generated by Doxygen 1.8.2 -->
<div id="navrow1" class="tabs">
<ul class="tablist">
<li><a href="index.html"><span>Main Page</span></a></li>
<li><a href="pages.html"><span>Related Pages</span></a></li>
<li><a href="modules.html"><span>Modules</span></a></li>
<li><a href="namespaces.html"><span>Namespaces</span></a></li>
<li><a href="annotated.html"><span>Classes</span></a></li>
<li class="current"><a href="files.html"><span>Files</span></a></li>
</ul>
</div>
<div id="navrow2" class="tabs2">
<ul class="tablist">
<li><a href="files.html"><span>File List</span></a></li>
<li><a href="globals.html"><span>File Members</span></a></li>
</ul>
</div>
<div id="nav-path" class="navpath">
<ul>
<li class="navelem"><a class="el" href="dir_68267d1309a1af8e8297ef4c3efbcdba.html">src</a></li><li class="navelem"><a class="el" href="dir_0ed98c5bff61fa5a11795860655bf1d8.html">theorem</a></li> </ul>
</div>
</div><!-- top -->
<div class="header">
<div class="headertitle">
<div class="title">common_theorem_producer.cpp</div> </div>
</div><!--header-->
<div class="contents">
<a href="common__theorem__producer_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*****************************************************************************/</span><span class="comment"></span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment">/*!</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> *\file common_theorem_producer.cpp</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *\brief Implementation of common proof rules</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Author: Clark Barrett</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> * Created: Wed Jan 11 16:10:15 2006</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment"> * <hr></span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment"> * License to use, copy, modify, sell and/or distribute this software</span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="comment"> * and its documentation for any purpose is hereby granted without</span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment"> * royalty, subject to the terms and conditions defined in the \ref</span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment"> * LICENSE file provided with this distribution.</span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="comment"> * </span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="comment"> * <hr></span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="comment">/*****************************************************************************/</span></div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> </div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> </div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="comment">// This code is trusted</span></div>
<div class="line"><a name="l00024"></a><span class="lineno"><a class="code" href="common__theorem__producer_8cpp.html#a8663c36bbf15bb5a0dcb01b97897fa95"> 24</a></span> <span class="preprocessor">#define _CVC3_TRUSTED_</span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> </div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include "<a class="code" href="common__theorem__producer_8h.html">common_theorem_producer.h</a>"</span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> </div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> </div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="keyword">using namespace </span>CVC3;</div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="keyword">using namespace </span>std;</div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> </div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> </div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="comment">// The trusted method of TheoremManager which creates this theorem producer</span></div>
<div class="line"><a name="l00035"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoremManager.html#af0be44f4f9e3e746bcde0ec605f1edc9"> 35</a></span> <a class="code" href="classCVC3_1_1CommonProofRules.html">CommonProofRules</a>* <a class="code" href="classCVC3_1_1TheoremManager.html#af0be44f4f9e3e746bcde0ec605f1edc9">TheoremManager::createProofRules</a>() {</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  <span class="keywordflow">return</span> <span class="keyword">new</span> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html">CommonTheoremProducer</a>(<span class="keyword">this</span>);</div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> }</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> </div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> </div>
<div class="line"><a name="l00040"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a2ae31c06ed093e9b5b85f90af78641ae"> 40</a></span> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a2ae31c06ed093e9b5b85f90af78641ae">CommonTheoremProducer::CommonTheoremProducer</a>(<a class="code" href="classCVC3_1_1TheoremManager.html">TheoremManager</a>* tm)</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  : <a class="code" href="classCVC3_1_1TheoremProducer.html">TheoremProducer</a>(tm),</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  d_skolemized_thms(tm->getCM()->getCurrentContext()),</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  d_skolemVars(tm->getCM()->getCurrentContext())</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> {}</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> </div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="comment"></span></div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="comment">////////////////////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span> <span class="comment"></span><span class="comment">// TCC rules (3-valued logic)</span><span class="comment"></span></div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> <span class="comment">////////////////////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="comment"></span></div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> <span class="comment">// G1 |- phi G2 |- D_phi</span></div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="comment">// -------------------------</span></div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> <span class="comment">// G1,G2 |-_3 phi</span></div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> <a class="code" href="classCVC3_1_1Theorem3.html" title="Theorem3.">Theorem3</a></div>
<div class="line"><a name="l00055"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a685c913a4b6b80a546dcb9853a88e21a"> 55</a></span> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a685c913a4b6b80a546dcb9853a88e21a" title="Convert 2-valued formula to 3-valued by discharging its TCC ( ): .">CommonTheoremProducer::queryTCC</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& phi, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& D_phi) {</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span> <span class="comment">// if(CHECK_PROOFS)</span></div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span> <span class="comment">// CHECK_SOUND(D_phi.getExpr() == d_core->getTCC(phi.getExpr()),</span></div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span> <span class="comment">// "CoreTheoremProducer::queryTCC: "</span></div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span> <span class="comment">// "bad TCC for a formula:\n\n "</span></div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span> <span class="comment">// +phi.getExpr().toString()</span></div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span> <span class="comment">// +"\n\n TCC must be the following:\n\n "</span></div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> <span class="comment">// +d_core->getTCC(phi.getExpr()).toString()</span></div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span> <span class="comment">// +"\n\nBut given this as a TCC:\n\n "</span></div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span> <span class="comment">// +D_phi.getExpr().toString());</span></div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a> a = phi.<a class="code" href="classCVC3_1_1Theorem.html#a5e9ab00a613df15cc02f55edb55a67b3">getAssumptionsRef</a>();</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  a.<a class="code" href="classCVC3_1_1Assumptions.html#a72ece655220d8976c4090006eb7b0b40">add</a>(D_phi);</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  vector<Expr> args;</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  vector<Proof> pfs;</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  args.push_back(phi.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>());</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  args.push_back(D_phi.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>());</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  pfs.push_back(phi.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  pfs.push_back(D_phi.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"queryTCC"</span>, args, pfs);</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  }</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#aec0760db9fcf381bf3886dbb1801662d">newTheorem3</a>(phi.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>(), a, pf);</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span> }</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span> </div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span> </div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span> <span class="comment">// G0,a1,...,an |-_3 phi G1 |- D_a1 ... Gn |- D_an</span></div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span> <span class="comment">// -------------------------------------------------</span></div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span> <span class="comment">// G0,G1,...,Gn |-_3 (a1 & ... & an) -> phi</span></div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span> <a class="code" href="classCVC3_1_1Theorem3.html" title="Theorem3.">Theorem3</a></div>
<div class="line"><a name="l00085"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#abf904962af8344d8646c382747837af4"> 85</a></span> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#abf904962af8344d8646c382747837af4" title="3-valued implication introduction rule: ">CommonTheoremProducer::implIntro3</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem3.html" title="Theorem3.">Theorem3</a>& phi,</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <span class="keyword">const</span> std::vector<Expr>& assump,</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <span class="keyword">const</span> vector<Theorem>& tccs) {</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <span class="keywordtype">bool</span> checkProofs(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>);</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <span class="comment">// This rule only makes sense when runnnig with assumptions</span></div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <span class="keywordflow">if</span>(checkProofs) {</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(<a class="code" href="classCVC3_1_1TheoremProducer.html#a32afe6d99e661b5c70082036e40d48bc" title="Testing whether to generate assumptions.">withAssumptions</a>(),</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <span class="stringliteral">"implIntro3: called while running without assumptions"</span>);</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  }</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span> </div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a>& phiAssump = phi.<a class="code" href="classCVC3_1_1Theorem3.html#a3bf0a31a2adaabfd7a37d61e990fa9ea">getAssumptionsRef</a>();</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span> </div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  <span class="keywordflow">if</span>(checkProofs) {</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(assump.size() == tccs.size(),</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="stringliteral">"implIntro3: number of assumptions ("</span></div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  +<a class="code" href="namespaceCVC3.html#af69618103f1f0f2eadada0796a2a940c">int2string</a>(assump.size())+<span class="stringliteral">") and number of TCCs ("</span></div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  +<a class="code" href="namespaceCVC3.html#af69618103f1f0f2eadada0796a2a940c">int2string</a>(tccs.size())</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  +<span class="stringliteral">") does not match"</span>);</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> i=0; i<assump.size(); i++) {</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& thm = phiAssump[assump[i]];</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(!thm.<a class="code" href="classCVC3_1_1Theorem.html#afc6fdb0507eb3669e28d9be5ed0bd333">isNull</a>() && thm.<a class="code" href="classCVC3_1_1Theorem.html#a05282db6832afb4f198d8c6b2b67aeb1">isAssump</a>(),</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <span class="stringliteral">"implIntro3: this is not an assumption of phi:\n\n"</span></div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="stringliteral">" a["</span>+<a class="code" href="namespaceCVC3.html#af69618103f1f0f2eadada0796a2a940c">int2string</a>(i)+<span class="stringliteral">"] = "</span>+assump[i].toString()</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  +<span class="stringliteral">"\n\n phi = "</span>+phi.<a class="code" href="classCVC3_1_1Theorem3.html#a744788782cc996d5b914533fe7304352">getExpr</a>().<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span> <span class="comment">// CHECK_SOUND(tccs[i].getExpr() == d_core->getTCC(assump[i]),</span></div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span> <span class="comment">// "implIntro3: Assumption does not match its TCC:\n\n"</span></div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span> <span class="comment">// " a["+int2string(i)+"] = "+assump[i].toString()</span></div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span> <span class="comment">// +" TCC(a["+int2string(i)+"]) = "</span></div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span> <span class="comment">// +d_core->getTCC(assump[i]).toString()</span></div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span> <span class="comment">// +"\n\n tccs["+int2string(i)+"] = "</span></div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span> <span class="comment">// +tccs[i].getExpr().toString());</span></div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  }</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  }</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span> </div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  <span class="comment">// Proof compaction: trivial derivation</span></div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  <span class="keywordflow">if</span>(assump.size() == 0) <span class="keywordflow">return</span> phi;</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span> </div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a> a(phiAssump - assump);</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a> b(tccs);</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  a.<a class="code" href="classCVC3_1_1Assumptions.html#a72ece655220d8976c4090006eb7b0b40">add</a>(b);</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  vector<Proof> u; <span class="comment">// Proof labels for assumptions</span></div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  <span class="keywordflow">for</span>(vector<Expr>::const_iterator i=assump.begin(), iend=assump.end();</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  i!=iend; ++i) {</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& t = phiAssump[*i];</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  u.push_back(t.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  }</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  <span class="comment">// Arguments to the proof rule:</span></div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <span class="comment">// impl_intro_3(phi, a1,...,an,tcc1,...tccn,pf_tcc1,...pf_tccn,</span></div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <span class="comment">// [lambda(a1,...,an): pf_phi])</span></div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  vector<Expr> args;</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  vector<Proof> pfs;</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  args.push_back(phi.<a class="code" href="classCVC3_1_1Theorem3.html#a744788782cc996d5b914533fe7304352">getExpr</a>());</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  args.insert(args.end(), assump.begin(), assump.end());</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  <span class="keywordflow">for</span>(vector<Theorem>::const_iterator i=tccs.begin(), iend=tccs.end();</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  i!=iend; ++i) {</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  args.push_back(i->getExpr());</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  pfs.push_back(i->getProof());</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  }</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  <span class="comment">// Lambda-abstraction of pf_phi</span></div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  pfs.push_back(<a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(u, assump, phi.<a class="code" href="classCVC3_1_1Theorem3.html#a05c74972ebc3932829fa32ca237880db">getProof</a>()));</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"impl_intro_3"</span>, args, pfs);</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  }</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> conj(<a class="code" href="namespaceCVC3.html#ad4258158bba138eb54b9080af7f8223a">andExpr</a>(assump));</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#aec0760db9fcf381bf3886dbb1801662d">newTheorem3</a>(conj.<a class="code" href="group__ExprPkg.html#ga8dd97bcdeb9d8870238f94a263fd083b">impExpr</a>(phi.<a class="code" href="classCVC3_1_1Theorem3.html#a744788782cc996d5b914533fe7304352">getExpr</a>()), a, pf);</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span> }</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span> </div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span> </div>
<div class="line"><a name="l00154"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a28d225c0e86bf45df3441c14a11197be"> 154</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a28d225c0e86bf45df3441c14a11197be">CommonTheoremProducer::assumpRule</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e, <span class="keywordtype">int</span> scope) {</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  <span class="comment">// TRACE("assump", "assumpRule(", e, ")");</span></div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#af4bdd16428b49f295b3d21208dffc0cd" title="Create a new proof label (bound variable) for an assumption (formula)">newLabel</a>(e);</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#ae6f0d46a632906b24cca2d5f648ae329">newAssumption</a>(e, pf, scope);</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span> }</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span> </div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span> </div>
<div class="line"><a name="l00162"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a306058f7ced3d7220b2d1a40892faae7"> 162</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a306058f7ced3d7220b2d1a40892faae7">CommonTheoremProducer::reflexivityRule</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& a) {</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a0670b7f9cfb6e1420227b5df652d6e79" title="Create a reflexivity theorem.">newReflTheorem</a>(a);</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span> }</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span> </div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span> </div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span> <span class="comment">// ==> (a == a) IFF TRUE</span></div>
<div class="line"><a name="l00168"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a26b00cb395f45971ace24a4529189e1b"> 168</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a26b00cb395f45971ace24a4529189e1b" title="==> (a == a) IFF TRUE">CommonTheoremProducer::rewriteReflexivity</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& t) {</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>((t.<a class="code" href="group__ExprPkg.html#gac4af2026c180da0f18d66ac616f61f3a">isEq</a>() || t.<a class="code" href="group__ExprPkg.html#gabe385fb97505cccb75702378511c5375">isIff</a>()) && t[0] == t[1],</div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  <span class="stringliteral">"rewriteReflexivity: wrong expression: "</span></div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  + t.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {</div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  <span class="keywordflow">if</span>(t.<a class="code" href="group__ExprPkg.html#gac4af2026c180da0f18d66ac616f61f3a">isEq</a>()) {</div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(!t[0].getType().isNull(),</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  <span class="stringliteral">"rewriteReflexivity: t[0] has no type: "</span></div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  + t[0].toString());</div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"rewrite_eq_refl"</span>, t[0].getType().getExpr(), t[0]);</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  } <span class="keywordflow">else</span></div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"rewrite_iff_refl"</span>, t[0]);</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  }</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(t, <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b706238281ad141a57363a6890f14a5">d_em</a>-><a class="code" href="group__EM__Priv.html#ga4471fca49c2acbb7b4cf71e72bc55d6a" title="TRUE Expr.">trueExpr</a>(), <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span> }</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span> </div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span> </div>
<div class="line"><a name="l00187"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ab269d27c05584ade0b1f86f2ced0c46a"> 187</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ab269d27c05584ade0b1f86f2ced0c46a" title=" (same for IFF)">CommonTheoremProducer::symmetryRule</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& a1_eq_a2) {</div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)</div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(a1_eq_a2.<a class="code" href="classCVC3_1_1Theorem.html#a362c1d70e03803d804bbe300e5f6dc87">isRewrite</a>(),</div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  (<span class="stringliteral">"CVC3::CommonTheoremProducer: "</span></div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  <span class="stringliteral">"theorem is not an equality or iff:\n "</span></div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  + a1_eq_a2.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>().<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>()).c_str());</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& a1 = a1_eq_a2.<a class="code" href="classCVC3_1_1Theorem.html#a206c04f39fbbcacef2337148675553f4">getLHS</a>();</div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& a2 = a1_eq_a2.<a class="code" href="classCVC3_1_1Theorem.html#a97d957fcbf9094480851b1d2e5d3729f">getRHS</a>();</div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span> </div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;<span class="comment"></span></div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span> <span class="comment"> /////////////////////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span> <span class="comment"> //// Proof compaction</span></div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span> <span class="comment"> /////////////////////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span> <span class="comment"></span> <span class="comment">// If a1 == a2, use reflexivity</span></div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  <span class="keywordflow">if</span>(a1 == a2) <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a306058f7ced3d7220b2d1a40892faae7">reflexivityRule</a>(a1);</div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  <span class="comment">// Otherwise, do the work</span></div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {</div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  <a class="code" href="classCVC3_1_1Type.html" title="MS C++ specific settings.">Type</a> t = a1.getType();</div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  <span class="comment">// Check the types</span></div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  <a class="code" href="debug_8h.html#a600cb2d68efe7cc413cccbb5714c7016">IF_DEBUG</a>(a1_eq_a2.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>().<a class="code" href="group__ExprPkg.html#ga42929221eb172250697b72c28af6de07" title="Get the type. Recursively compute if necessary.">getType</a>();)</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  <span class="keywordtype">bool</span> isEquality = !t.<a class="code" href="classCVC3_1_1Type.html#a38bba404056eadf3c283a67ab2347e02">isBool</a>();</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  <span class="keywordflow">if</span>(isEquality) {</div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  vector<Expr> args;</div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  args.push_back(t.<a class="code" href="classCVC3_1_1Type.html#a0bc1eebf8dbd9d2880e1f18d7804e5c2">getExpr</a>());</div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  args.push_back(a1);</div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  args.push_back(a2);</div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"eq_symm"</span>, args, a1_eq_a2.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());</div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  } <span class="keywordflow">else</span></div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"iff_symm"</span>, a1, a2, a1_eq_a2.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());</div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  }</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(a2, a1, <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a>(a1_eq_a2), pf);</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span> }</div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span> </div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span> </div>
<div class="line"><a name="l00221"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ac0813c68583ad6f0661d4c1affe3c6d8"> 221</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ac0813c68583ad6f0661d4c1affe3c6d8">CommonTheoremProducer::rewriteUsingSymmetry</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& a1_eq_a2) {</div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  <span class="keywordtype">bool</span> isIff = a1_eq_a2.<a class="code" href="group__ExprPkg.html#gabe385fb97505cccb75702378511c5375">isIff</a>();</div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)</div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(a1_eq_a2.<a class="code" href="group__ExprPkg.html#gac4af2026c180da0f18d66ac616f61f3a">isEq</a>() || isIff, <span class="stringliteral">"rewriteUsingSymmetry precondition violated"</span>);</div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& a1 = a1_eq_a2[0];</div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& a2 = a1_eq_a2[1];</div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  <span class="comment">// Proof compaction: if a1 == a2, use reflexivity</span></div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  <span class="keywordflow">if</span>(a1 == a2) <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a306058f7ced3d7220b2d1a40892faae7">reflexivityRule</a>(a1_eq_a2);</div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  <span class="comment">// Otherwise, do the work</span></div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {</div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  <a class="code" href="classCVC3_1_1Type.html" title="MS C++ specific settings.">Type</a> t = a1.getType();</div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(!t.<a class="code" href="classCVC3_1_1Type.html#ab5fe00c99ee91f369e3339b26bab0bf7">isNull</a>(),</div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  <span class="stringliteral">"rewriteUsingSymmetry: a1 has no type: "</span> + a1.toString());</div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  <span class="keywordflow">if</span>(isIff)</div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"rewrite_iff_symm"</span>, a1, a2);</div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"rewrite_eq_symm"</span>, t.<a class="code" href="classCVC3_1_1Type.html#a0bc1eebf8dbd9d2880e1f18d7804e5c2">getExpr</a>(), a1, a2);</div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  }</div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  }</div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(a1_eq_a2, isIff ? a2.<a class="code" href="group__ExprPkg.html#gaae017ca8e68af655ba285c985dd9fba5">iffExpr</a>(a1) : a2.<a class="code" href="group__ExprPkg.html#gacb48495ca445c895f95d0c3c1ae2070b">eqExpr</a>(a1), <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span> }</div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span> </div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span> </div>
<div class="line"><a name="l00245"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ad5c0bc0fb82634039e5f2c8f9291de0e"> 245</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ad5c0bc0fb82634039e5f2c8f9291de0e" title=" (same for IFF)">CommonTheoremProducer::transitivityRule</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& a1_eq_a2,</div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& a2_eq_a3) {</div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(!a1_eq_a2.<a class="code" href="classCVC3_1_1Theorem.html#afc6fdb0507eb3669e28d9be5ed0bd333">isNull</a>(), <span class="stringliteral">"transitivityRule()"</span>);</div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(!a2_eq_a3.<a class="code" href="classCVC3_1_1Theorem.html#afc6fdb0507eb3669e28d9be5ed0bd333">isNull</a>(), <span class="stringliteral">"transitivityRule()"</span>);</div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {</div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(a1_eq_a2.<a class="code" href="classCVC3_1_1Theorem.html#a362c1d70e03803d804bbe300e5f6dc87">isRewrite</a>() && a2_eq_a3.<a class="code" href="classCVC3_1_1Theorem.html#a362c1d70e03803d804bbe300e5f6dc87">isRewrite</a>(), </div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  <span class="stringliteral">"CVC3::CommonTheoremProducer::transitivityRule:\n "</span></div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  <span class="stringliteral">"Wrong premises: first = "</span></div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  + a1_eq_a2.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>().<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>() + <span class="stringliteral">", second = "</span></div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  + a2_eq_a3.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>().<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());</div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(a1_eq_a2.<a class="code" href="classCVC3_1_1Theorem.html#a97d957fcbf9094480851b1d2e5d3729f">getRHS</a>() == a2_eq_a3.<a class="code" href="classCVC3_1_1Theorem.html#a206c04f39fbbcacef2337148675553f4">getLHS</a>(),</div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  <span class="stringliteral">"CVC3::CommonTheoremProducer::transitivityRule:\n "</span></div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  <span class="stringliteral">"Wrong premises: first = "</span></div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  + a1_eq_a2.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>().<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>() + <span class="stringliteral">", second = "</span></div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  + a2_eq_a3.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>().<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());</div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  }</div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& a1 = a1_eq_a2.<a class="code" href="classCVC3_1_1Theorem.html#a206c04f39fbbcacef2337148675553f4">getLHS</a>();</div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& a2 = a1_eq_a2.<a class="code" href="classCVC3_1_1Theorem.html#a97d957fcbf9094480851b1d2e5d3729f">getRHS</a>();</div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& a3 = a2_eq_a3.<a class="code" href="classCVC3_1_1Theorem.html#a97d957fcbf9094480851b1d2e5d3729f">getRHS</a>();</div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span> <span class="comment"></span></div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span> <span class="comment"> /////////////////////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span> <span class="comment"> //// Proof compaction</span></div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span> <span class="comment"> /////////////////////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span> <span class="comment"></span> <span class="comment">// if a1 == a3, use reflexivity (and lose all assumptions)</span></div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  <span class="keywordflow">if</span>(a1 == a3) <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a306058f7ced3d7220b2d1a40892faae7">reflexivityRule</a>(a1);</div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  <span class="comment">// if a1 == a2, or if a2 == a3, use only the non-trivial part</span></div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  <span class="keywordflow">if</span>(a1 == a2) <span class="keywordflow">return</span> a2_eq_a3;</div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  <span class="keywordflow">if</span>(a2 == a3) <span class="keywordflow">return</span> a1_eq_a2;</div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span> <span class="comment"></span></div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span> <span class="comment"> ////////////////////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span> <span class="comment"> //// No shortcuts. Do the work.</span></div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span> <span class="comment"> ////////////////////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span> <span class="comment"></span></div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a> a(a1_eq_a2, a2_eq_a3);</div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  <span class="comment">// Build the proof</span></div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {</div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  <a class="code" href="classCVC3_1_1Type.html" title="MS C++ specific settings.">Type</a> t = a1.<a class="code" href="group__ExprPkg.html#ga42929221eb172250697b72c28af6de07" title="Get the type. Recursively compute if necessary.">getType</a>();</div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  <span class="keywordtype">bool</span> isEquality = (!t.<a class="code" href="classCVC3_1_1Type.html#a38bba404056eadf3c283a67ab2347e02">isBool</a>());</div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  <span class="keywordtype">string</span> name((isEquality)? <span class="stringliteral">"eq_trans"</span> : <span class="stringliteral">"iff_trans"</span>);</div>
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  vector<Expr> args;</div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  vector<Proof> pfs;</div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(!t.<a class="code" href="classCVC3_1_1Type.html#ab5fe00c99ee91f369e3339b26bab0bf7">isNull</a>(), <span class="stringliteral">"transitivityRule: "</span></div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  <span class="stringliteral">"Type is not computed for a1: "</span> + a1.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());</div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  <span class="comment">// Type argument is needed only for equality</span></div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>  <span class="keywordflow">if</span>(isEquality) args.push_back(t.<a class="code" href="classCVC3_1_1Type.html#a0bc1eebf8dbd9d2880e1f18d7804e5c2">getExpr</a>());</div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  args.push_back(a1);</div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span>  args.push_back(a2);</div>
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>  args.push_back(a3);</div>
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>  pfs.push_back(a1_eq_a2.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());</div>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>  pfs.push_back(a2_eq_a3.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());</div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(name, args, pfs);</div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  }</div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(a1, a3, a, pf);</div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span> }</div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span> </div>
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span> </div>
<div class="line"><a name="l00302"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#aac39a4ae729b4218d4b70ed6a68bc53d"> 302</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#aac39a4ae729b4218d4b70ed6a68bc53d" title="Optimized case for expr with one child.">CommonTheoremProducer::substitutivityRule</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e,</div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& thm) {</div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  <a class="code" href="debug_8h.html#a600cb2d68efe7cc413cccbb5714c7016">IF_DEBUG</a></div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>  (<span class="keyword">static</span> DebugTimer</div>
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>  accum0(debugger.timer(<span class="stringliteral">"substitutivityRule0 time"</span>));</div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  <span class="keyword">static</span> DebugTimer tmpTimer(debugger.newTimer());</div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  <span class="keyword">static</span> DebugCounter count(debugger.counter(<span class="stringliteral">"substitutivityRule0 calls"</span>));</div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>  debugger.setCurrentTime(tmpTimer);</div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  count++;)</div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span> </div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>  <span class="comment">// Check that t is c == d or c IFF d</span></div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {</div>
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>() == 1 && e[0] == thm.<a class="code" href="classCVC3_1_1Theorem.html#a206c04f39fbbcacef2337148675553f4">getLHS</a>(),</div>
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span>  <span class="stringliteral">"Unexpected use of substitutivityRule0"</span>);</div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(thm.<a class="code" href="classCVC3_1_1Theorem.html#a362c1d70e03803d804bbe300e5f6dc87">isRewrite</a>(),</div>
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>  <span class="stringliteral">"CVC3::CommonTheoremProducer::substitutivityRule0:\n "</span></div>
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>  <span class="stringliteral">"premis is not an equality or IFF: "</span></div>
<div class="line"><a name="l00319"></a><span class="lineno"> 319</span>  + thm.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>().<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>()</div>
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>  + <span class="stringliteral">"\n expr = "</span> + e.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());</div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>  }</div>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> e2(e.<a class="code" href="group__ExprPkg.html#gace479f04faca399219496195152f7806" title="Get operator from expression.">getOp</a>(), thm.<a class="code" href="classCVC3_1_1Theorem.html#a97d957fcbf9094480851b1d2e5d3729f">getRHS</a>());</div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>  <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>())</div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"basic_subst_op0"</span>,e, e2,thm.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());</div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>  <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> res = <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, e2, <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a>(thm), pf);</div>
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>  <span class="keywordflow">if</span> (!res.<a class="code" href="classCVC3_1_1Theorem.html#a16f074e60b9e076187efb478889d2c47">isRefl</a>()) res.<a class="code" href="classCVC3_1_1Theorem.html#a979f97355a4ecd2d8d8b96b679df5240" title="Set flag stating that theorem is an instance of substitution.">setSubst</a>();</div>
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span>  <span class="keywordflow">return</span> res;</div>
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span> }</div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span> </div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span> </div>
<div class="line"><a name="l00332"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a78ce0fe500f548d464b63e19211836f8"> 332</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#aac39a4ae729b4218d4b70ed6a68bc53d" title="Optimized case for expr with one child.">CommonTheoremProducer::substitutivityRule</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e,</div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& thm1,</div>
<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& thm2) {</div>
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>  <a class="code" href="debug_8h.html#a600cb2d68efe7cc413cccbb5714c7016">IF_DEBUG</a></div>
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>  (<span class="keyword">static</span> DebugTimer</div>
<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>  accum0(debugger.timer(<span class="stringliteral">"substitutivityRule1 time"</span>));</div>
<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>  <span class="keyword">static</span> DebugTimer tmpTimer(debugger.newTimer());</div>
<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>  <span class="keyword">static</span> DebugCounter count(debugger.counter(<span class="stringliteral">"substitutivityRule1 calls"</span>));</div>
<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>  debugger.setCurrentTime(tmpTimer);</div>
<div class="line"><a name="l00341"></a><span class="lineno"> 341</span>  count++;)</div>
<div class="line"><a name="l00342"></a><span class="lineno"> 342</span> </div>
<div class="line"><a name="l00343"></a><span class="lineno"> 343</span>  <span class="comment">// Check that t is c == d or c IFF d</span></div>
<div class="line"><a name="l00344"></a><span class="lineno"> 344</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {</div>
<div class="line"><a name="l00345"></a><span class="lineno"> 345</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>() == 2 && e[0] == thm1.<a class="code" href="classCVC3_1_1Theorem.html#a206c04f39fbbcacef2337148675553f4">getLHS</a>() &&</div>
<div class="line"><a name="l00346"></a><span class="lineno"> 346</span>  e[1] == thm2.<a class="code" href="classCVC3_1_1Theorem.html#a206c04f39fbbcacef2337148675553f4">getLHS</a>(),</div>
<div class="line"><a name="l00347"></a><span class="lineno"> 347</span>  <span class="stringliteral">"Unexpected use of substitutivityRule1"</span>);</div>
<div class="line"><a name="l00348"></a><span class="lineno"> 348</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(thm1.<a class="code" href="classCVC3_1_1Theorem.html#a362c1d70e03803d804bbe300e5f6dc87">isRewrite</a>(),</div>
<div class="line"><a name="l00349"></a><span class="lineno"> 349</span>  <span class="stringliteral">"CVC3::CommonTheoremProducer::substitutivityRule1:\n "</span></div>
<div class="line"><a name="l00350"></a><span class="lineno"> 350</span>  <span class="stringliteral">"premis is not an equality or IFF: "</span></div>
<div class="line"><a name="l00351"></a><span class="lineno"> 351</span>  + thm1.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>().<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>()</div>
<div class="line"><a name="l00352"></a><span class="lineno"> 352</span>  + <span class="stringliteral">"\n expr = "</span> + e.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());</div>
<div class="line"><a name="l00353"></a><span class="lineno"> 353</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(thm2.<a class="code" href="classCVC3_1_1Theorem.html#a362c1d70e03803d804bbe300e5f6dc87">isRewrite</a>(),</div>
<div class="line"><a name="l00354"></a><span class="lineno"> 354</span>  <span class="stringliteral">"CVC3::CommonTheoremProducer::substitutivityRule1:\n "</span></div>
<div class="line"><a name="l00355"></a><span class="lineno"> 355</span>  <span class="stringliteral">"premis is not an equality or IFF: "</span></div>
<div class="line"><a name="l00356"></a><span class="lineno"> 356</span>  + thm2.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>().<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>()</div>
<div class="line"><a name="l00357"></a><span class="lineno"> 357</span>  + <span class="stringliteral">"\n expr = "</span> + e.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());</div>
<div class="line"><a name="l00358"></a><span class="lineno"> 358</span>  }</div>
<div class="line"><a name="l00359"></a><span class="lineno"> 359</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> e2(e.<a class="code" href="group__ExprPkg.html#gace479f04faca399219496195152f7806" title="Get operator from expression.">getOp</a>(), thm1.<a class="code" href="classCVC3_1_1Theorem.html#a97d957fcbf9094480851b1d2e5d3729f">getRHS</a>(), thm2.<a class="code" href="classCVC3_1_1Theorem.html#a97d957fcbf9094480851b1d2e5d3729f">getRHS</a>());</div>
<div class="line"><a name="l00360"></a><span class="lineno"> 360</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00361"></a><span class="lineno"> 361</span>  <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {</div>
<div class="line"><a name="l00362"></a><span class="lineno"> 362</span>  vector<Proof> pfs;</div>
<div class="line"><a name="l00363"></a><span class="lineno"> 363</span>  pfs.push_back(thm1.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());</div>
<div class="line"><a name="l00364"></a><span class="lineno"> 364</span>  pfs.push_back(thm2.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());</div>
<div class="line"><a name="l00365"></a><span class="lineno"> 365</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"basic_subst_op1"</span>, e, e2, pfs);</div>
<div class="line"><a name="l00366"></a><span class="lineno"> 366</span>  }</div>
<div class="line"><a name="l00367"></a><span class="lineno"> 367</span>  <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> res = <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, e2, <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a>(thm1, thm2), pf);</div>
<div class="line"><a name="l00368"></a><span class="lineno"> 368</span>  <span class="keywordflow">if</span> (!res.<a class="code" href="classCVC3_1_1Theorem.html#a16f074e60b9e076187efb478889d2c47">isRefl</a>()) res.<a class="code" href="classCVC3_1_1Theorem.html#a979f97355a4ecd2d8d8b96b679df5240" title="Set flag stating that theorem is an instance of substitution.">setSubst</a>();</div>
<div class="line"><a name="l00369"></a><span class="lineno"> 369</span>  <span class="keywordflow">return</span> res;</div>
<div class="line"><a name="l00370"></a><span class="lineno"> 370</span> }</div>
<div class="line"><a name="l00371"></a><span class="lineno"> 371</span> </div>
<div class="line"><a name="l00372"></a><span class="lineno"> 372</span> </div>
<div class="line"><a name="l00373"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a3cbe9d25e0363d61a29179592561ddb9"> 373</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#aac39a4ae729b4218d4b70ed6a68bc53d" title="Optimized case for expr with one child.">CommonTheoremProducer::substitutivityRule</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Op.html">Op</a>& op,</div>
<div class="line"><a name="l00374"></a><span class="lineno"> 374</span>  <span class="keyword">const</span> vector<Theorem>& thms) {</div>
<div class="line"><a name="l00375"></a><span class="lineno"> 375</span>  <a class="code" href="debug_8h.html#a600cb2d68efe7cc413cccbb5714c7016">IF_DEBUG</a></div>
<div class="line"><a name="l00376"></a><span class="lineno"> 376</span>  (<span class="keyword">static</span> DebugTimer</div>
<div class="line"><a name="l00377"></a><span class="lineno"> 377</span>  accum0(debugger.timer(<span class="stringliteral">"substitutivityRule time"</span>));</div>
<div class="line"><a name="l00378"></a><span class="lineno"> 378</span>  <span class="keyword">static</span> DebugTimer tmpTimer(debugger.newTimer());</div>
<div class="line"><a name="l00379"></a><span class="lineno"> 379</span>  <span class="keyword">static</span> DebugCounter count(debugger.counter(<span class="stringliteral">"substitutivityRule calls"</span>));</div>
<div class="line"><a name="l00380"></a><span class="lineno"> 380</span>  debugger.setCurrentTime(tmpTimer);</div>
<div class="line"><a name="l00381"></a><span class="lineno"> 381</span>  count++;)</div>
<div class="line"><a name="l00382"></a><span class="lineno"> 382</span>  <span class="comment">// Check for trivial case: no theorems, return (op == op)</span></div>
<div class="line"><a name="l00383"></a><span class="lineno"> 383</span>  <span class="keywordtype">unsigned</span> size(thms.size());</div>
<div class="line"><a name="l00384"></a><span class="lineno"> 384</span>  <span class="keywordflow">if</span>(size == 0)</div>
<div class="line"><a name="l00385"></a><span class="lineno"> 385</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a306058f7ced3d7220b2d1a40892faae7">reflexivityRule</a>(<a class="code" href="classCVC3_1_1TheoremProducer.html#a27015759e6bdfced928fc5a2d9877b7d">d_tm</a>-><a class="code" href="classCVC3_1_1TheoremManager.html#a12fd5db0a56006d3cd4123fec058b2ca">getEM</a>()-><a class="code" href="group__EM__Priv.html#gacd77df1dbcc429e06a75047e2f609822">newLeafExpr</a>(op));</div>
<div class="line"><a name="l00386"></a><span class="lineno"> 386</span>  <span class="comment">// Check that theorems are of the form c_i == d_i and collect</span></div>
<div class="line"><a name="l00387"></a><span class="lineno"> 387</span>  <span class="comment">// vectors of c_i's and d_i's and the vector of proofs</span></div>
<div class="line"><a name="l00388"></a><span class="lineno"> 388</span>  vector<Expr> c, d;</div>
<div class="line"><a name="l00389"></a><span class="lineno"> 389</span>  vector<Proof> pfs;</div>
<div class="line"><a name="l00390"></a><span class="lineno"> 390</span>  <span class="comment">// Reserve memory for argument vectors. Do not reserve memory for</span></div>
<div class="line"><a name="l00391"></a><span class="lineno"> 391</span>  <span class="comment">// pfs, they are rarely used and slow anyway.</span></div>
<div class="line"><a name="l00392"></a><span class="lineno"> 392</span>  c.reserve(size); d.reserve(size);</div>
<div class="line"><a name="l00393"></a><span class="lineno"> 393</span>  <span class="keywordflow">for</span>(vector<Theorem>::const_iterator i = thms.begin(), iend = thms.end();</div>
<div class="line"><a name="l00394"></a><span class="lineno"> 394</span>  i != iend; ++i) {</div>
<div class="line"><a name="l00395"></a><span class="lineno"> 395</span>  <span class="comment">// Check that t is c == d or c IFF d</span></div>
<div class="line"><a name="l00396"></a><span class="lineno"> 396</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)</div>
<div class="line"><a name="l00397"></a><span class="lineno"> 397</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(i->isRewrite(),</div>
<div class="line"><a name="l00398"></a><span class="lineno"> 398</span>  <span class="stringliteral">"CVC3::CommonTheoremProducer::substitutivityRule:\n "</span></div>
<div class="line"><a name="l00399"></a><span class="lineno"> 399</span>  <span class="stringliteral">"premis is not an equality or IFF: "</span></div>
<div class="line"><a name="l00400"></a><span class="lineno"> 400</span>  + i->getExpr().toString()</div>
<div class="line"><a name="l00401"></a><span class="lineno"> 401</span>  + <span class="stringliteral">"\n op = "</span> + op.<a class="code" href="classCVC3_1_1Op.html#a84e7f24cbe0fe182ba2c57d941d5d1f6">toString</a>());</div>
<div class="line"><a name="l00402"></a><span class="lineno"> 402</span>  <span class="comment">// Collect the pieces</span></div>
<div class="line"><a name="l00403"></a><span class="lineno"> 403</span>  c.push_back(i->getLHS());</div>
<div class="line"><a name="l00404"></a><span class="lineno"> 404</span>  d.push_back(i->getRHS());</div>
<div class="line"><a name="l00405"></a><span class="lineno"> 405</span>  <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) pfs.push_back(i->getProof());</div>
<div class="line"><a name="l00406"></a><span class="lineno"> 406</span>  }</div>
<div class="line"><a name="l00407"></a><span class="lineno"> 407</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> e1(op, c), e2(op, d);</div>
<div class="line"><a name="l00408"></a><span class="lineno"> 408</span>  <span class="comment">// Proof compaction: if e1 == e2, use reflexivity</span></div>
<div class="line"><a name="l00409"></a><span class="lineno"> 409</span>  <span class="keywordflow">if</span>(e1 == e2) <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a306058f7ced3d7220b2d1a40892faae7">reflexivityRule</a>(e1);</div>
<div class="line"><a name="l00410"></a><span class="lineno"> 410</span>  <span class="comment">// Otherwise, do the work</span></div>
<div class="line"><a name="l00411"></a><span class="lineno"> 411</span>  <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a> a(thms);</div>
<div class="line"><a name="l00412"></a><span class="lineno"> 412</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00413"></a><span class="lineno"> 413</span>  <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>())</div>
<div class="line"><a name="l00414"></a><span class="lineno"> 414</span>  <span class="comment">// FIXME: this rule is not directly expressible in flea</span></div>
<div class="line"><a name="l00415"></a><span class="lineno"> 415</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"basic_subst_op"</span>,e1,e2,pfs);</div>
<div class="line"><a name="l00416"></a><span class="lineno"> 416</span>  <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> res = <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e1, e2, a, pf);</div>
<div class="line"><a name="l00417"></a><span class="lineno"> 417</span>  <a class="code" href="debug_8h.html#a600cb2d68efe7cc413cccbb5714c7016">IF_DEBUG</a>(debugger.setElapsed(tmpTimer);</div>
<div class="line"><a name="l00418"></a><span class="lineno"> 418</span>  accum0 += tmpTimer;)</div>
<div class="line"><a name="l00419"></a><span class="lineno"> 419</span>  res.<a class="code" href="classCVC3_1_1Theorem.html#a979f97355a4ecd2d8d8b96b679df5240" title="Set flag stating that theorem is an instance of substitution.">setSubst</a>();</div>
<div class="line"><a name="l00420"></a><span class="lineno"> 420</span>  <span class="keywordflow">return</span> res;</div>
<div class="line"><a name="l00421"></a><span class="lineno"> 421</span> }</div>
<div class="line"><a name="l00422"></a><span class="lineno"> 422</span> </div>
<div class="line"><a name="l00423"></a><span class="lineno"> 423</span> </div>
<div class="line"><a name="l00424"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a395cee7c667e641b2835748d0a8c4a9d"> 424</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#aac39a4ae729b4218d4b70ed6a68bc53d" title="Optimized case for expr with one child.">CommonTheoremProducer::substitutivityRule</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e,</div>
<div class="line"><a name="l00425"></a><span class="lineno"> 425</span>  <span class="keyword">const</span> vector<unsigned>& changed,</div>
<div class="line"><a name="l00426"></a><span class="lineno"> 426</span>  <span class="keyword">const</span> vector<Theorem>& thms) {</div>
<div class="line"><a name="l00427"></a><span class="lineno"> 427</span>  <a class="code" href="debug_8h.html#a600cb2d68efe7cc413cccbb5714c7016">IF_DEBUG</a></div>
<div class="line"><a name="l00428"></a><span class="lineno"> 428</span>  (<span class="keyword">static</span> DebugTimer</div>
<div class="line"><a name="l00429"></a><span class="lineno"> 429</span>  accum0(debugger.timer(<span class="stringliteral">"substitutivityRule2 time"</span>));</div>
<div class="line"><a name="l00430"></a><span class="lineno"> 430</span>  <span class="keyword">static</span> DebugTimer tmpTimer(debugger.newTimer());</div>
<div class="line"><a name="l00431"></a><span class="lineno"> 431</span>  <span class="keyword">static</span> DebugCounter count(debugger.counter(<span class="stringliteral">"substitutivityRule2 calls"</span>));</div>
<div class="line"><a name="l00432"></a><span class="lineno"> 432</span>  debugger.setCurrentTime(tmpTimer);</div>
<div class="line"><a name="l00433"></a><span class="lineno"> 433</span>  count++;)</div>
<div class="line"><a name="l00434"></a><span class="lineno"> 434</span>  <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(changed.size() > 0, <span class="stringliteral">"substitutivityRule2 should not be called"</span>);</div>
<div class="line"><a name="l00435"></a><span class="lineno"> 435</span>  <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(changed.size() == thms.size(), <span class="stringliteral">"substitutivityRule2: wrong args"</span>);</div>
<div class="line"><a name="l00436"></a><span class="lineno"> 436</span> </div>
<div class="line"><a name="l00437"></a><span class="lineno"> 437</span>  <span class="comment">// Check that theorems are of the form c_i == d_i and collect</span></div>
<div class="line"><a name="l00438"></a><span class="lineno"> 438</span>  <span class="comment">// vectors of c_i's and d_i's and the vector of proofs</span></div>
<div class="line"><a name="l00439"></a><span class="lineno"> 439</span>  <span class="keywordtype">unsigned</span> size = e.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>();</div>
<div class="line"><a name="l00440"></a><span class="lineno"> 440</span>  <span class="keywordflow">if</span> (size == 1) <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#aac39a4ae729b4218d4b70ed6a68bc53d" title="Optimized case for expr with one child.">substitutivityRule</a>(e, thms.back());</div>
<div class="line"><a name="l00441"></a><span class="lineno"> 441</span>  <span class="keywordtype">unsigned</span> csize = changed.size();</div>
<div class="line"><a name="l00442"></a><span class="lineno"> 442</span>  <span class="keywordflow">if</span> (size == 2) {</div>
<div class="line"><a name="l00443"></a><span class="lineno"> 443</span>  <span class="keywordflow">if</span> (csize == 2) <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#aac39a4ae729b4218d4b70ed6a68bc53d" title="Optimized case for expr with one child.">substitutivityRule</a>(e, thms[0], thms[1]);</div>
<div class="line"><a name="l00444"></a><span class="lineno"> 444</span>  <span class="keywordflow">if</span> (changed[0] == 0) {</div>
<div class="line"><a name="l00445"></a><span class="lineno"> 445</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#aac39a4ae729b4218d4b70ed6a68bc53d" title="Optimized case for expr with one child.">substitutivityRule</a>(e, thms[0], <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a306058f7ced3d7220b2d1a40892faae7">reflexivityRule</a>(e[1]));</div>
<div class="line"><a name="l00446"></a><span class="lineno"> 446</span>  }</div>
<div class="line"><a name="l00447"></a><span class="lineno"> 447</span>  <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00448"></a><span class="lineno"> 448</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#aac39a4ae729b4218d4b70ed6a68bc53d" title="Optimized case for expr with one child.">substitutivityRule</a>(e, <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a306058f7ced3d7220b2d1a40892faae7">reflexivityRule</a>(e[0]), thms[0]);</div>
<div class="line"><a name="l00449"></a><span class="lineno"> 449</span>  }</div>
<div class="line"><a name="l00450"></a><span class="lineno"> 450</span>  }</div>
<div class="line"><a name="l00451"></a><span class="lineno"> 451</span>  <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(size >= csize, <span class="stringliteral">"Bad call to substitutivityRule2"</span>);</div>
<div class="line"><a name="l00452"></a><span class="lineno"> 452</span> </div>
<div class="line"><a name="l00453"></a><span class="lineno"> 453</span>  vector<Expr> c;</div>
<div class="line"><a name="l00454"></a><span class="lineno"> 454</span>  <span class="keywordtype">bool</span> checkProofs(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>);</div>
<div class="line"><a name="l00455"></a><span class="lineno"> 455</span>  <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> j = 0, k = 0; k < size; ++k) {</div>
<div class="line"><a name="l00456"></a><span class="lineno"> 456</span>  <span class="keywordflow">if</span> (j == csize || changed[j] != k) {</div>
<div class="line"><a name="l00457"></a><span class="lineno"> 457</span>  c.push_back(e[k]);</div>
<div class="line"><a name="l00458"></a><span class="lineno"> 458</span>  <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00459"></a><span class="lineno"> 459</span>  }</div>
<div class="line"><a name="l00460"></a><span class="lineno"> 460</span>  <span class="comment">// Check that t is c == d or c IFF d</span></div>
<div class="line"><a name="l00461"></a><span class="lineno"> 461</span>  <span class="keywordflow">if</span>(checkProofs)</div>
<div class="line"><a name="l00462"></a><span class="lineno"> 462</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(thms[j].isRewrite() && thms[j].getLHS() == e[k],</div>
<div class="line"><a name="l00463"></a><span class="lineno"> 463</span>  <span class="stringliteral">"CVC3::CommonTheoremProducer::substitutivityRule:\n "</span></div>
<div class="line"><a name="l00464"></a><span class="lineno"> 464</span>  <span class="stringliteral">"premis is not an equality or IFF: "</span></div>
<div class="line"><a name="l00465"></a><span class="lineno"> 465</span>  + thms[j].getExpr().toString()</div>
<div class="line"><a name="l00466"></a><span class="lineno"> 466</span>  + <span class="stringliteral">"\n e = "</span> + e.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());</div>
<div class="line"><a name="l00467"></a><span class="lineno"> 467</span>  <span class="comment">// Collect the pieces</span></div>
<div class="line"><a name="l00468"></a><span class="lineno"> 468</span>  c.push_back(thms[j].getRHS());</div>
<div class="line"><a name="l00469"></a><span class="lineno"> 469</span>  ++j;</div>
<div class="line"><a name="l00470"></a><span class="lineno"> 470</span>  }</div>
<div class="line"><a name="l00471"></a><span class="lineno"> 471</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> e2(e.<a class="code" href="group__ExprPkg.html#gace479f04faca399219496195152f7806" title="Get operator from expression.">getOp</a>(), c);</div>
<div class="line"><a name="l00472"></a><span class="lineno"> 472</span>  <a class="code" href="debug_8h.html#a600cb2d68efe7cc413cccbb5714c7016">IF_DEBUG</a>(<span class="keywordflow">if</span>(e == e2) {</div>
<div class="line"><a name="l00473"></a><span class="lineno"> 473</span>  ostream& os = debugger.getOS();</div>
<div class="line"><a name="l00474"></a><span class="lineno"> 474</span>  os << <span class="stringliteral">"substitutivityRule2: e = "</span> << e << <span class="stringliteral">"\n e2 = "</span> << e2</div>
<div class="line"><a name="l00475"></a><span class="lineno"> 475</span>  << <span class="stringliteral">"\n changed kids: [\n"</span>;</div>
<div class="line"><a name="l00476"></a><span class="lineno"> 476</span>  <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> j=0; j<changed.size(); j++)</div>
<div class="line"><a name="l00477"></a><span class="lineno"> 477</span>  os << <span class="stringliteral">" ("</span> << changed[j] << <span class="stringliteral">") "</span> << thms[j] << <span class="stringliteral">"\n"</span>;</div>
<div class="line"><a name="l00478"></a><span class="lineno"> 478</span>  os << <span class="stringliteral">"]\n"</span>;</div>
<div class="line"><a name="l00479"></a><span class="lineno"> 479</span>  })</div>
<div class="line"><a name="l00480"></a><span class="lineno"> 480</span>  <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(e != e2,</div>
<div class="line"><a name="l00481"></a><span class="lineno"> 481</span>  <span class="stringliteral">"substitutivityRule2 should not be called in this case:\n"</span></div>
<div class="line"><a name="l00482"></a><span class="lineno"> 482</span>  <span class="stringliteral">"e = "</span>+e.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());</div>
<div class="line"><a name="l00483"></a><span class="lineno"> 483</span> </div>
<div class="line"><a name="l00484"></a><span class="lineno"> 484</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00485"></a><span class="lineno"> 485</span>  <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a> a(thms);</div>
<div class="line"><a name="l00486"></a><span class="lineno"> 486</span>  <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {</div>
<div class="line"><a name="l00487"></a><span class="lineno"> 487</span>  vector<Proof> pfs;</div>
<div class="line"><a name="l00488"></a><span class="lineno"> 488</span>  <span class="keywordflow">for</span>(vector<Theorem>::const_iterator i = thms.begin(), iend = thms.end();</div>
<div class="line"><a name="l00489"></a><span class="lineno"> 489</span>  i != iend; ++i) {</div>
<div class="line"><a name="l00490"></a><span class="lineno"> 490</span>  <span class="comment">// Check that t is c == d or c IFF d</span></div>
<div class="line"><a name="l00491"></a><span class="lineno"> 491</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)</div>
<div class="line"><a name="l00492"></a><span class="lineno"> 492</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(i->isRewrite(),</div>
<div class="line"><a name="l00493"></a><span class="lineno"> 493</span>  <span class="stringliteral">"CVC3::CommonTheoremProducer::substitutivityRule:\n "</span></div>
<div class="line"><a name="l00494"></a><span class="lineno"> 494</span>  <span class="stringliteral">"premis is not an equality or IFF: "</span></div>
<div class="line"><a name="l00495"></a><span class="lineno"> 495</span>  + i->getExpr().toString());</div>
<div class="line"><a name="l00496"></a><span class="lineno"> 496</span>  <span class="comment">// + "\n op = " + ((Op) e.getOp).toString());</span></div>
<div class="line"><a name="l00497"></a><span class="lineno"> 497</span>  pfs.push_back(i->getProof());</div>
<div class="line"><a name="l00498"></a><span class="lineno"> 498</span>  }</div>
<div class="line"><a name="l00499"></a><span class="lineno"> 499</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"optimized_subst_op"</span>,e,e2,pfs);</div>
<div class="line"><a name="l00500"></a><span class="lineno"> 500</span>  }</div>
<div class="line"><a name="l00501"></a><span class="lineno"> 501</span>  <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> res = <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, e2, a, pf);</div>
<div class="line"><a name="l00502"></a><span class="lineno"> 502</span>  <a class="code" href="debug_8h.html#a600cb2d68efe7cc413cccbb5714c7016">IF_DEBUG</a>(debugger.setElapsed(tmpTimer);</div>
<div class="line"><a name="l00503"></a><span class="lineno"> 503</span>  accum0 += tmpTimer;)</div>
<div class="line"><a name="l00504"></a><span class="lineno"> 504</span>  <span class="keywordflow">if</span> (!res.<a class="code" href="classCVC3_1_1Theorem.html#a16f074e60b9e076187efb478889d2c47">isRefl</a>()) res.<a class="code" href="classCVC3_1_1Theorem.html#a979f97355a4ecd2d8d8b96b679df5240" title="Set flag stating that theorem is an instance of substitution.">setSubst</a>();</div>
<div class="line"><a name="l00505"></a><span class="lineno"> 505</span>  <span class="keywordflow">return</span> res;</div>
<div class="line"><a name="l00506"></a><span class="lineno"> 506</span> }</div>
<div class="line"><a name="l00507"></a><span class="lineno"> 507</span> </div>
<div class="line"><a name="l00508"></a><span class="lineno"> 508</span> </div>
<div class="line"><a name="l00509"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#afeddaca97606b242861d6e05a97f62d7"> 509</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#aac39a4ae729b4218d4b70ed6a68bc53d" title="Optimized case for expr with one child.">CommonTheoremProducer::substitutivityRule</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e,</div>
<div class="line"><a name="l00510"></a><span class="lineno"> 510</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> changed,</div>
<div class="line"><a name="l00511"></a><span class="lineno"> 511</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& thm)</div>
<div class="line"><a name="l00512"></a><span class="lineno"> 512</span> {</div>
<div class="line"><a name="l00513"></a><span class="lineno"> 513</span>  <span class="comment">// Get the arity of the expression</span></div>
<div class="line"><a name="l00514"></a><span class="lineno"> 514</span>  <span class="keywordtype">int</span> size = e.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>();</div>
<div class="line"><a name="l00515"></a><span class="lineno"> 515</span> </div>
<div class="line"><a name="l00516"></a><span class="lineno"> 516</span>  <span class="comment">// The changed must be within the arity</span></div>
<div class="line"><a name="l00517"></a><span class="lineno"> 517</span>  <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(size >= changed, <span class="stringliteral">"Bad call to substitutivityRule"</span>);</div>
<div class="line"><a name="l00518"></a><span class="lineno"> 518</span> </div>
<div class="line"><a name="l00519"></a><span class="lineno"> 519</span>  <span class="comment">// Check that t is c == d or c IFF d</span></div>
<div class="line"><a name="l00520"></a><span class="lineno"> 520</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)</div>
<div class="line"><a name="l00521"></a><span class="lineno"> 521</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(thm.<a class="code" href="classCVC3_1_1Theorem.html#a362c1d70e03803d804bbe300e5f6dc87">isRewrite</a>() && thm.<a class="code" href="classCVC3_1_1Theorem.html#a206c04f39fbbcacef2337148675553f4">getLHS</a>() == e[changed], <span class="stringliteral">"CVC3::CommonTheoremProducer::substitutivityRule:\n "</span></div>
<div class="line"><a name="l00522"></a><span class="lineno"> 522</span>  <span class="stringliteral">"premise is not an equality or IFF: "</span> + thm.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>().<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>() + <span class="stringliteral">"\n"</span> +</div>
<div class="line"><a name="l00523"></a><span class="lineno"> 523</span>  <span class="stringliteral">"e = "</span> + e.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());</div>
<div class="line"><a name="l00524"></a><span class="lineno"> 524</span> </div>
<div class="line"><a name="l00525"></a><span class="lineno"> 525</span>  <span class="comment">// Collect the new sub-expressions</span></div>
<div class="line"><a name="l00526"></a><span class="lineno"> 526</span>  vector<Expr> c;</div>
<div class="line"><a name="l00527"></a><span class="lineno"> 527</span>  <span class="keywordflow">for</span>(<span class="keywordtype">int</span> k = 0; k < size; ++ k) </div>
<div class="line"><a name="l00528"></a><span class="lineno"> 528</span>  <span class="keywordflow">if</span> (k != changed) c.push_back(e[k]);</div>
<div class="line"><a name="l00529"></a><span class="lineno"> 529</span>  <span class="keywordflow">else</span> c.push_back(thm.<a class="code" href="classCVC3_1_1Theorem.html#a97d957fcbf9094480851b1d2e5d3729f">getRHS</a>());</div>
<div class="line"><a name="l00530"></a><span class="lineno"> 530</span> </div>
<div class="line"><a name="l00531"></a><span class="lineno"> 531</span>  <span class="comment">// Construct the new expression</span></div>
<div class="line"><a name="l00532"></a><span class="lineno"> 532</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> e2(e.<a class="code" href="group__ExprPkg.html#gace479f04faca399219496195152f7806" title="Get operator from expression.">getOp</a>(), c);</div>
<div class="line"><a name="l00533"></a><span class="lineno"> 533</span>  </div>
<div class="line"><a name="l00534"></a><span class="lineno"> 534</span>  <span class="comment">// Check if they are the same </span></div>
<div class="line"><a name="l00535"></a><span class="lineno"> 535</span>  <a class="code" href="debug_8h.html#a600cb2d68efe7cc413cccbb5714c7016">IF_DEBUG</a>(<span class="keywordflow">if</span>(e == e2) {</div>
<div class="line"><a name="l00536"></a><span class="lineno"> 536</span>  ostream& os = debugger.getOS();</div>
<div class="line"><a name="l00537"></a><span class="lineno"> 537</span>  os << <span class="stringliteral">"substitutivityRule: e = "</span> << e << <span class="stringliteral">"\n e2 = "</span> << e2 << <a class="code" href="group__ExprStream__Manip.html#ga05b0ea7353ec24fa8e7e272d7a7875d8" title="Print the end-of-line.">endl</a>;</div>
<div class="line"><a name="l00538"></a><span class="lineno"> 538</span>  })</div>
<div class="line"><a name="l00539"></a><span class="lineno"> 539</span> </div>
<div class="line"><a name="l00540"></a><span class="lineno"> 540</span>  <span class="comment">// The new expressions must not be equal</span></div>
<div class="line"><a name="l00541"></a><span class="lineno"> 541</span>  <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(e != e2, <span class="stringliteral">"substitutivityRule should not be called in this case:\ne = "</span>+e.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());</div>
<div class="line"><a name="l00542"></a><span class="lineno"> 542</span> </div>
<div class="line"><a name="l00543"></a><span class="lineno"> 543</span>  <span class="comment">// Construct the proof object</span></div>
<div class="line"><a name="l00544"></a><span class="lineno"> 544</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00545"></a><span class="lineno"> 545</span>  <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a> a(thm);</div>
<div class="line"><a name="l00546"></a><span class="lineno"> 546</span>  <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {</div>
<div class="line"><a name="l00547"></a><span class="lineno"> 547</span>  <span class="comment">// Check that t is c == d or c IFF d</span></div>
<div class="line"><a name="l00548"></a><span class="lineno"> 548</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)</div>
<div class="line"><a name="l00549"></a><span class="lineno"> 549</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(thm.<a class="code" href="classCVC3_1_1Theorem.html#a362c1d70e03803d804bbe300e5f6dc87">isRewrite</a>(), <span class="stringliteral">"CVC3::CommonTheoremProducer::substitutivityRule:\npremise is not an equality or IFF: "</span> + thm.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>().<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>()); </div>
<div class="line"><a name="l00550"></a><span class="lineno"> 550</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"optimized_subst_op2"</span>,e,e2,thm.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());</div>
<div class="line"><a name="l00551"></a><span class="lineno"> 551</span>  }</div>
<div class="line"><a name="l00552"></a><span class="lineno"> 552</span> </div>
<div class="line"><a name="l00553"></a><span class="lineno"> 553</span>  <span class="comment">// Return the resulting theorem </span></div>
<div class="line"><a name="l00554"></a><span class="lineno"> 554</span>  <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> res = <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, e2, a, pf);;</div>
<div class="line"><a name="l00555"></a><span class="lineno"> 555</span>  res.<a class="code" href="classCVC3_1_1Theorem.html#a979f97355a4ecd2d8d8b96b679df5240" title="Set flag stating that theorem is an instance of substitution.">setSubst</a>();</div>
<div class="line"><a name="l00556"></a><span class="lineno"> 556</span>  <span class="keywordflow">return</span> res;</div>
<div class="line"><a name="l00557"></a><span class="lineno"> 557</span> }</div>
<div class="line"><a name="l00558"></a><span class="lineno"> 558</span> </div>
<div class="line"><a name="l00559"></a><span class="lineno"> 559</span> </div>
<div class="line"><a name="l00560"></a><span class="lineno"> 560</span> <span class="comment">// |- e, |- !e ==> |- FALSE</span></div>
<div class="line"><a name="l00561"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#aaa58b8a459f5678aa2393fba6b50ff8d"> 561</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#aaa58b8a459f5678aa2393fba6b50ff8d">CommonTheoremProducer::contradictionRule</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& e,</div>
<div class="line"><a name="l00562"></a><span class="lineno"> 562</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& not_e) {</div>
<div class="line"><a name="l00563"></a><span class="lineno"> 563</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00564"></a><span class="lineno"> 564</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)</div>
<div class="line"><a name="l00565"></a><span class="lineno"> 565</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(!e.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>() == not_e.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>(),</div>
<div class="line"><a name="l00566"></a><span class="lineno"> 566</span>  <span class="stringliteral">"CommonTheoremProducer::contraditionRule: "</span></div>
<div class="line"><a name="l00567"></a><span class="lineno"> 567</span>  <span class="stringliteral">"theorems don't match:\n e = "</span>+e.<a class="code" href="classCVC3_1_1Theorem.html#ac4b1c9570ffb9cc901627ef2abb9ff77">toString</a>()</div>
<div class="line"><a name="l00568"></a><span class="lineno"> 568</span>  +<span class="stringliteral">"\n not_e = "</span>+not_e.<a class="code" href="classCVC3_1_1Theorem.html#ac4b1c9570ffb9cc901627ef2abb9ff77">toString</a>());</div>
<div class="line"><a name="l00569"></a><span class="lineno"> 569</span>  <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a> a(e, not_e);</div>
<div class="line"><a name="l00570"></a><span class="lineno"> 570</span>  <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {</div>
<div class="line"><a name="l00571"></a><span class="lineno"> 571</span>  vector<Proof> pfs;</div>
<div class="line"><a name="l00572"></a><span class="lineno"> 572</span>  pfs.push_back(e.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());</div>
<div class="line"><a name="l00573"></a><span class="lineno"> 573</span>  pfs.push_back(not_e.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());</div>
<div class="line"><a name="l00574"></a><span class="lineno"> 574</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"contradition"</span>, e.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>(), pfs);</div>
<div class="line"><a name="l00575"></a><span class="lineno"> 575</span>  }</div>
<div class="line"><a name="l00576"></a><span class="lineno"> 576</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#ab3afa2471d244b129865548afe06ca89" title="Create a new theorem. See also newRWTheorem() and newReflTheorem()">newTheorem</a>(<a class="code" href="classCVC3_1_1TheoremProducer.html#a1b706238281ad141a57363a6890f14a5">d_em</a>-><a class="code" href="group__EM__Priv.html#gaae9db4c93c67cbf8bbf5d1e60e94f1ae" title="FALSE Expr.">falseExpr</a>(), a, pf);</div>
<div class="line"><a name="l00577"></a><span class="lineno"> 577</span> }</div>
<div class="line"><a name="l00578"></a><span class="lineno"> 578</span> </div>
<div class="line"><a name="l00579"></a><span class="lineno"> 579</span> </div>
<div class="line"><a name="l00580"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ad6ecd5f3d95b2f44d670ad1228a88f4a"> 580</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ad6ecd5f3d95b2f44d670ad1228a88f4a">CommonTheoremProducer::excludedMiddle</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e)</div>
<div class="line"><a name="l00581"></a><span class="lineno"> 581</span> {</div>
<div class="line"><a name="l00582"></a><span class="lineno"> 582</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00583"></a><span class="lineno"> 583</span>  <span class="keywordflow">if</span> (<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {</div>
<div class="line"><a name="l00584"></a><span class="lineno"> 584</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"excludedMiddle"</span>, e);</div>
<div class="line"><a name="l00585"></a><span class="lineno"> 585</span>  }</div>
<div class="line"><a name="l00586"></a><span class="lineno"> 586</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#ab3afa2471d244b129865548afe06ca89" title="Create a new theorem. See also newRWTheorem() and newReflTheorem()">newTheorem</a>(e.<a class="code" href="group__ExprPkg.html#gaf310870d783fff343e77ba9c2277c626">orExpr</a>(!e), <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l00587"></a><span class="lineno"> 587</span> }</div>
<div class="line"><a name="l00588"></a><span class="lineno"> 588</span> </div>
<div class="line"><a name="l00589"></a><span class="lineno"> 589</span> </div>
<div class="line"><a name="l00590"></a><span class="lineno"> 590</span> <span class="comment">// e ==> e IFF TRUE</span></div>
<div class="line"><a name="l00591"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a37ed2850e80cd789f7ac712df6eacc63"> 591</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a37ed2850e80cd789f7ac712df6eacc63">CommonTheoremProducer::iffTrue</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& e)</div>
<div class="line"><a name="l00592"></a><span class="lineno"> 592</span> {</div>
<div class="line"><a name="l00593"></a><span class="lineno"> 593</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00594"></a><span class="lineno"> 594</span>  <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {</div>
<div class="line"><a name="l00595"></a><span class="lineno"> 595</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"iff_true"</span>, e.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>(), e.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());</div>
<div class="line"><a name="l00596"></a><span class="lineno"> 596</span>  }</div>
<div class="line"><a name="l00597"></a><span class="lineno"> 597</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>(), <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b706238281ad141a57363a6890f14a5">d_em</a>-><a class="code" href="group__EM__Priv.html#ga4471fca49c2acbb7b4cf71e72bc55d6a" title="TRUE Expr.">trueExpr</a>(), <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a>(e), pf);</div>
<div class="line"><a name="l00598"></a><span class="lineno"> 598</span> }</div>
<div class="line"><a name="l00599"></a><span class="lineno"> 599</span> </div>
<div class="line"><a name="l00600"></a><span class="lineno"> 600</span> </div>
<div class="line"><a name="l00601"></a><span class="lineno"> 601</span> <span class="comment">// e ==> !e IFF FALSE</span></div>
<div class="line"><a name="l00602"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a2b95f985a56f8d25b00145846406d70b"> 602</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a2b95f985a56f8d25b00145846406d70b">CommonTheoremProducer::iffNotFalse</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& e) {</div>
<div class="line"><a name="l00603"></a><span class="lineno"> 603</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00604"></a><span class="lineno"> 604</span>  <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {</div>
<div class="line"><a name="l00605"></a><span class="lineno"> 605</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"iff_not_false"</span>, e.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>(), e.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());</div>
<div class="line"><a name="l00606"></a><span class="lineno"> 606</span>  }</div>
<div class="line"><a name="l00607"></a><span class="lineno"> 607</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(!e.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>(), <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b706238281ad141a57363a6890f14a5">d_em</a>-><a class="code" href="group__EM__Priv.html#gaae9db4c93c67cbf8bbf5d1e60e94f1ae" title="FALSE Expr.">falseExpr</a>(), <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a>(e), pf);</div>
<div class="line"><a name="l00608"></a><span class="lineno"> 608</span> }</div>
<div class="line"><a name="l00609"></a><span class="lineno"> 609</span> </div>
<div class="line"><a name="l00610"></a><span class="lineno"> 610</span> </div>
<div class="line"><a name="l00611"></a><span class="lineno"> 611</span> <span class="comment">// e IFF TRUE ==> e</span></div>
<div class="line"><a name="l00612"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a40da8d343ef923020c472eaace6e8122"> 612</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a40da8d343ef923020c472eaace6e8122">CommonTheoremProducer::iffTrueElim</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& e) {</div>
<div class="line"><a name="l00613"></a><span class="lineno"> 613</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)</div>
<div class="line"><a name="l00614"></a><span class="lineno"> 614</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="classCVC3_1_1Theorem.html#a362c1d70e03803d804bbe300e5f6dc87">isRewrite</a>() && e.<a class="code" href="classCVC3_1_1Theorem.html#a97d957fcbf9094480851b1d2e5d3729f">getRHS</a>().<a class="code" href="group__ExprPkg.html#gadf8596df73fa69ff8e6a22b9321f5c34">isTrue</a>(),</div>
<div class="line"><a name="l00615"></a><span class="lineno"> 615</span>  <span class="stringliteral">"CommonTheoremProducer::iffTrueElim: "</span></div>
<div class="line"><a name="l00616"></a><span class="lineno"> 616</span>  <span class="stringliteral">"theorem is not e<=>TRUE: "</span>+ e.<a class="code" href="classCVC3_1_1Theorem.html#ac4b1c9570ffb9cc901627ef2abb9ff77">toString</a>());</div>
<div class="line"><a name="l00617"></a><span class="lineno"> 617</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00618"></a><span class="lineno"> 618</span>  <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {</div>
<div class="line"><a name="l00619"></a><span class="lineno"> 619</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"iff_true_elim"</span>, e.<a class="code" href="classCVC3_1_1Theorem.html#a206c04f39fbbcacef2337148675553f4">getLHS</a>(), e.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());</div>
<div class="line"><a name="l00620"></a><span class="lineno"> 620</span>  }</div>
<div class="line"><a name="l00621"></a><span class="lineno"> 621</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#ab3afa2471d244b129865548afe06ca89" title="Create a new theorem. See also newRWTheorem() and newReflTheorem()">newTheorem</a>(e.<a class="code" href="classCVC3_1_1Theorem.html#a206c04f39fbbcacef2337148675553f4">getLHS</a>(), <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a>(e), pf);</div>
<div class="line"><a name="l00622"></a><span class="lineno"> 622</span> }</div>
<div class="line"><a name="l00623"></a><span class="lineno"> 623</span> </div>
<div class="line"><a name="l00624"></a><span class="lineno"> 624</span> </div>
<div class="line"><a name="l00625"></a><span class="lineno"> 625</span> <span class="comment">// e IFF FALSE ==> !e</span></div>
<div class="line"><a name="l00626"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a4efade3a917467bf7287a19d2ee4ea2c"> 626</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a4efade3a917467bf7287a19d2ee4ea2c">CommonTheoremProducer::iffFalseElim</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& e) {</div>
<div class="line"><a name="l00627"></a><span class="lineno"> 627</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)</div>
<div class="line"><a name="l00628"></a><span class="lineno"> 628</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="classCVC3_1_1Theorem.html#a362c1d70e03803d804bbe300e5f6dc87">isRewrite</a>() && e.<a class="code" href="classCVC3_1_1Theorem.html#a97d957fcbf9094480851b1d2e5d3729f">getRHS</a>().<a class="code" href="group__ExprPkg.html#ga6173f64b22cba76472cd0c814bbf6dae">isFalse</a>(),</div>
<div class="line"><a name="l00629"></a><span class="lineno"> 629</span>  <span class="stringliteral">"CommonTheoremProducer::iffFalseElim: "</span></div>
<div class="line"><a name="l00630"></a><span class="lineno"> 630</span>  <span class="stringliteral">"theorem is not e<=>FALSE: "</span>+ e.<a class="code" href="classCVC3_1_1Theorem.html#ac4b1c9570ffb9cc901627ef2abb9ff77">toString</a>());</div>
<div class="line"><a name="l00631"></a><span class="lineno"> 631</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& lhs = e.<a class="code" href="classCVC3_1_1Theorem.html#a206c04f39fbbcacef2337148675553f4">getLHS</a>();</div>
<div class="line"><a name="l00632"></a><span class="lineno"> 632</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00633"></a><span class="lineno"> 633</span>  <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {</div>
<div class="line"><a name="l00634"></a><span class="lineno"> 634</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"iff_false_elim"</span>, lhs, e.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());</div>
<div class="line"><a name="l00635"></a><span class="lineno"> 635</span>  }</div>
<div class="line"><a name="l00636"></a><span class="lineno"> 636</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#ab3afa2471d244b129865548afe06ca89" title="Create a new theorem. See also newRWTheorem() and newReflTheorem()">newTheorem</a>(!lhs, <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a>(e), pf);</div>
<div class="line"><a name="l00637"></a><span class="lineno"> 637</span> }</div>
<div class="line"><a name="l00638"></a><span class="lineno"> 638</span> </div>
<div class="line"><a name="l00639"></a><span class="lineno"> 639</span> </div>
<div class="line"><a name="l00640"></a><span class="lineno"> 640</span> <span class="comment">// e1 <=> e2 ==> ~e1 <=> ~e2</span></div>
<div class="line"><a name="l00641"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a3733173dbd8f639af979150059c4ec90"> 641</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a3733173dbd8f639af979150059c4ec90" title="e1 <=> e2 ==> ~e1 <=> ~e2">CommonTheoremProducer::iffContrapositive</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& e) {</div>
<div class="line"><a name="l00642"></a><span class="lineno"> 642</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)</div>
<div class="line"><a name="l00643"></a><span class="lineno"> 643</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="classCVC3_1_1Theorem.html#a362c1d70e03803d804bbe300e5f6dc87">isRewrite</a>() && e.<a class="code" href="classCVC3_1_1Theorem.html#a97d957fcbf9094480851b1d2e5d3729f">getRHS</a>().<a class="code" href="group__ExprPkg.html#ga42929221eb172250697b72c28af6de07" title="Get the type. Recursively compute if necessary.">getType</a>().<a class="code" href="classCVC3_1_1Type.html#a38bba404056eadf3c283a67ab2347e02">isBool</a>(),</div>
<div class="line"><a name="l00644"></a><span class="lineno"> 644</span>  <span class="stringliteral">"CommonTheoremProducer::iffContrapositive: "</span></div>
<div class="line"><a name="l00645"></a><span class="lineno"> 645</span>  <span class="stringliteral">"theorem is not e1<=>e2: "</span>+ e.<a class="code" href="classCVC3_1_1Theorem.html#ac4b1c9570ffb9cc901627ef2abb9ff77">toString</a>());</div>
<div class="line"><a name="l00646"></a><span class="lineno"> 646</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00647"></a><span class="lineno"> 647</span>  <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {</div>
<div class="line"><a name="l00648"></a><span class="lineno"> 648</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"iff_contrapositive"</span>, e.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>(), e.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());</div>
<div class="line"><a name="l00649"></a><span class="lineno"> 649</span>  }</div>
<div class="line"><a name="l00650"></a><span class="lineno"> 650</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e.<a class="code" href="classCVC3_1_1Theorem.html#a206c04f39fbbcacef2337148675553f4">getLHS</a>().<a class="code" href="group__ExprPkg.html#gab1ce461dc931af73bf04e88c8d37dcbc">negate</a>(),e.<a class="code" href="classCVC3_1_1Theorem.html#a97d957fcbf9094480851b1d2e5d3729f">getRHS</a>().<a class="code" href="group__ExprPkg.html#gab1ce461dc931af73bf04e88c8d37dcbc">negate</a>(), <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a>(e), pf);</div>
<div class="line"><a name="l00651"></a><span class="lineno"> 651</span> }</div>
<div class="line"><a name="l00652"></a><span class="lineno"> 652</span> </div>
<div class="line"><a name="l00653"></a><span class="lineno"> 653</span> </div>
<div class="line"><a name="l00654"></a><span class="lineno"> 654</span> <span class="comment">// !!e ==> e</span></div>
<div class="line"><a name="l00655"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a59470692918d2f7c03c073a61daa3db5"> 655</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a59470692918d2f7c03c073a61daa3db5">CommonTheoremProducer::notNotElim</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& not_not_e) {</div>
<div class="line"><a name="l00656"></a><span class="lineno"> 656</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)</div>
<div class="line"><a name="l00657"></a><span class="lineno"> 657</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(not_not_e.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>().<a class="code" href="group__ExprPkg.html#ga1a898858ccadce833df5a294c7740f11">isNot</a>() && not_not_e.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>()[0].<a class="code" href="group__ExprPkg.html#ga1a898858ccadce833df5a294c7740f11">isNot</a>(),</div>
<div class="line"><a name="l00658"></a><span class="lineno"> 658</span>  <span class="stringliteral">"CommonTheoremProducer::notNotElim: bad theorem: !!e = "</span></div>
<div class="line"><a name="l00659"></a><span class="lineno"> 659</span>  + not_not_e.<a class="code" href="classCVC3_1_1Theorem.html#ac4b1c9570ffb9cc901627ef2abb9ff77">toString</a>());</div>
<div class="line"><a name="l00660"></a><span class="lineno"> 660</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00661"></a><span class="lineno"> 661</span>  <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>())</div>
<div class="line"><a name="l00662"></a><span class="lineno"> 662</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"not_not_elim"</span>, not_not_e.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>(), not_not_e.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());</div>
<div class="line"><a name="l00663"></a><span class="lineno"> 663</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#ab3afa2471d244b129865548afe06ca89" title="Create a new theorem. See also newRWTheorem() and newReflTheorem()">newTheorem</a>(not_not_e.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>()[0][0], <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a>(not_not_e), pf);</div>
<div class="line"><a name="l00664"></a><span class="lineno"> 664</span> }</div>
<div class="line"><a name="l00665"></a><span class="lineno"> 665</span> </div>
<div class="line"><a name="l00666"></a><span class="lineno"> 666</span> </div>
<div class="line"><a name="l00667"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a98f862538ac375b133079c336c539b22"> 667</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a98f862538ac375b133079c336c539b22">CommonTheoremProducer::iffMP</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& e1, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& e1_iff_e2)</div>
<div class="line"><a name="l00668"></a><span class="lineno"> 668</span> {</div>
<div class="line"><a name="l00669"></a><span class="lineno"> 669</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {</div>
<div class="line"><a name="l00670"></a><span class="lineno"> 670</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e1_iff_e2.<a class="code" href="classCVC3_1_1Theorem.html#a362c1d70e03803d804bbe300e5f6dc87">isRewrite</a>(),</div>
<div class="line"><a name="l00671"></a><span class="lineno"> 671</span>  <span class="stringliteral">"iffMP: not IFF: "</span>+e1_iff_e2.<a class="code" href="classCVC3_1_1Theorem.html#ac4b1c9570ffb9cc901627ef2abb9ff77">toString</a>());</div>
<div class="line"><a name="l00672"></a><span class="lineno"> 672</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e1.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>() == (e1_iff_e2.<a class="code" href="classCVC3_1_1Theorem.html#a206c04f39fbbcacef2337148675553f4">getLHS</a>()),</div>
<div class="line"><a name="l00673"></a><span class="lineno"> 673</span>  <span class="stringliteral">"iffMP: theorems don't match:\n e1 = "</span> + e1.<a class="code" href="classCVC3_1_1Theorem.html#ac4b1c9570ffb9cc901627ef2abb9ff77">toString</a>()</div>
<div class="line"><a name="l00674"></a><span class="lineno"> 674</span>  + <span class="stringliteral">", e1_iff_e2 = "</span> + e1_iff_e2.<a class="code" href="classCVC3_1_1Theorem.html#ac4b1c9570ffb9cc901627ef2abb9ff77">toString</a>());</div>
<div class="line"><a name="l00675"></a><span class="lineno"> 675</span>  }</div>
<div class="line"><a name="l00676"></a><span class="lineno"> 676</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e2(e1_iff_e2.<a class="code" href="classCVC3_1_1Theorem.html#a97d957fcbf9094480851b1d2e5d3729f">getRHS</a>());</div>
<div class="line"><a name="l00677"></a><span class="lineno"> 677</span>  <span class="comment">// Avoid e1.getExpr(), it may cause unneeded Expr creation</span></div>
<div class="line"><a name="l00678"></a><span class="lineno"> 678</span>  <span class="keywordflow">if</span> (e1_iff_e2.<a class="code" href="classCVC3_1_1Theorem.html#a206c04f39fbbcacef2337148675553f4">getLHS</a>() == e2) <span class="keywordflow">return</span> e1;</div>
<div class="line"><a name="l00679"></a><span class="lineno"> 679</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00680"></a><span class="lineno"> 680</span>  <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a> a(e1, e1_iff_e2);</div>
<div class="line"><a name="l00681"></a><span class="lineno"> 681</span>  <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {</div>
<div class="line"><a name="l00682"></a><span class="lineno"> 682</span>  vector<Proof> pfs;</div>
<div class="line"><a name="l00683"></a><span class="lineno"> 683</span>  pfs.push_back(e1.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());</div>
<div class="line"><a name="l00684"></a><span class="lineno"> 684</span>  pfs.push_back(e1_iff_e2.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());</div>
<div class="line"><a name="l00685"></a><span class="lineno"> 685</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"iff_mp"</span>, e1.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>(), e2, pfs);</div>
<div class="line"><a name="l00686"></a><span class="lineno"> 686</span>  }</div>
<div class="line"><a name="l00687"></a><span class="lineno"> 687</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#ab3afa2471d244b129865548afe06ca89" title="Create a new theorem. See also newRWTheorem() and newReflTheorem()">newTheorem</a>(e2, a, pf);</div>
<div class="line"><a name="l00688"></a><span class="lineno"> 688</span> }</div>
<div class="line"><a name="l00689"></a><span class="lineno"> 689</span> </div>
<div class="line"><a name="l00690"></a><span class="lineno"> 690</span> </div>
<div class="line"><a name="l00691"></a><span class="lineno"> 691</span> <span class="comment">// e1 AND (e1 IMPLIES e2) ==> e2</span></div>
<div class="line"><a name="l00692"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ac7155849ce6bd4afe185fdb0e397fc58"> 692</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ac7155849ce6bd4afe185fdb0e397fc58">CommonTheoremProducer::implMP</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& e1,</div>
<div class="line"><a name="l00693"></a><span class="lineno"> 693</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& e1_impl_e2) {</div>
<div class="line"><a name="l00694"></a><span class="lineno"> 694</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& impl = e1_impl_e2.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>();</div>
<div class="line"><a name="l00695"></a><span class="lineno"> 695</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {</div>
<div class="line"><a name="l00696"></a><span class="lineno"> 696</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(impl.<a class="code" href="group__ExprPkg.html#ga9067c706c6454ea1761ace7d7837af46">isImpl</a>() && impl.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>()==2,</div>
<div class="line"><a name="l00697"></a><span class="lineno"> 697</span>  <span class="stringliteral">"implMP: not IMPLIES: "</span>+impl.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());</div>
<div class="line"><a name="l00698"></a><span class="lineno"> 698</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e1.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>() == impl[0],</div>
<div class="line"><a name="l00699"></a><span class="lineno"> 699</span>  <span class="stringliteral">"implMP: theorems don't match:\n e1 = "</span> + e1.<a class="code" href="classCVC3_1_1Theorem.html#ac4b1c9570ffb9cc901627ef2abb9ff77">toString</a>()</div>
<div class="line"><a name="l00700"></a><span class="lineno"> 700</span>  + <span class="stringliteral">", e1_impl_e2 = "</span> + impl.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());</div>
<div class="line"><a name="l00701"></a><span class="lineno"> 701</span>  }</div>
<div class="line"><a name="l00702"></a><span class="lineno"> 702</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e2 = impl[1];</div>
<div class="line"><a name="l00703"></a><span class="lineno"> 703</span>  <span class="comment">// Avoid e1.getExpr(), it may cause unneeded Expr creation</span></div>
<div class="line"><a name="l00704"></a><span class="lineno"> 704</span>  <span class="comment">// if (impl[0] == e2) return e1; // this line commented by yeting because of proof translation</span></div>
<div class="line"><a name="l00705"></a><span class="lineno"> 705</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00706"></a><span class="lineno"> 706</span>  <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a> a(e1, e1_impl_e2);</div>
<div class="line"><a name="l00707"></a><span class="lineno"> 707</span>  <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {</div>
<div class="line"><a name="l00708"></a><span class="lineno"> 708</span>  vector<Proof> pfs;</div>
<div class="line"><a name="l00709"></a><span class="lineno"> 709</span>  pfs.push_back(e1.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());</div>
<div class="line"><a name="l00710"></a><span class="lineno"> 710</span>  pfs.push_back(e1_impl_e2.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());</div>
<div class="line"><a name="l00711"></a><span class="lineno"> 711</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"impl_mp"</span>, e1.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>(), e2, pfs);</div>
<div class="line"><a name="l00712"></a><span class="lineno"> 712</span>  }</div>
<div class="line"><a name="l00713"></a><span class="lineno"> 713</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#ab3afa2471d244b129865548afe06ca89" title="Create a new theorem. See also newRWTheorem() and newReflTheorem()">newTheorem</a>(e2, a, pf);</div>
<div class="line"><a name="l00714"></a><span class="lineno"> 714</span> }</div>
<div class="line"><a name="l00715"></a><span class="lineno"> 715</span> </div>
<div class="line"><a name="l00716"></a><span class="lineno"> 716</span> </div>
<div class="line"><a name="l00717"></a><span class="lineno"> 717</span> <span class="comment">// AND(e_0,...e_{n-1}) ==> e_i</span></div>
<div class="line"><a name="l00718"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a23e3f96d1cc6da39d97f9b7a2e0ba723"> 718</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a23e3f96d1cc6da39d97f9b7a2e0ba723">CommonTheoremProducer::andElim</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& e, <span class="keywordtype">int</span> i) {</div>
<div class="line"><a name="l00719"></a><span class="lineno"> 719</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {</div>
<div class="line"><a name="l00720"></a><span class="lineno"> 720</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>().<a class="code" href="group__ExprPkg.html#ga383260cf4f8919728e2712e6e11f21fa">isAnd</a>(), <span class="stringliteral">"andElim: not an AND: "</span> + e.<a class="code" href="classCVC3_1_1Theorem.html#ac4b1c9570ffb9cc901627ef2abb9ff77">toString</a>());</div>
<div class="line"><a name="l00721"></a><span class="lineno"> 721</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(i < e.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>().<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>(), <span class="stringliteral">"andElim: i = "</span> + <a class="code" href="namespaceCVC3.html#af69618103f1f0f2eadada0796a2a940c">int2string</a>(i)</div>
<div class="line"><a name="l00722"></a><span class="lineno"> 722</span>  + <span class="stringliteral">" >= arity = "</span> + <a class="code" href="namespaceCVC3.html#af69618103f1f0f2eadada0796a2a940c">int2string</a>(e.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>().<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>())</div>
<div class="line"><a name="l00723"></a><span class="lineno"> 723</span>  + <span class="stringliteral">" in "</span> + e.<a class="code" href="classCVC3_1_1Theorem.html#ac4b1c9570ffb9cc901627ef2abb9ff77">toString</a>());</div>
<div class="line"><a name="l00724"></a><span class="lineno"> 724</span>  }</div>
<div class="line"><a name="l00725"></a><span class="lineno"> 725</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00726"></a><span class="lineno"> 726</span>  <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>())</div>
<div class="line"><a name="l00727"></a><span class="lineno"> 727</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"andE"</span>, <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b706238281ad141a57363a6890f14a5">d_em</a>-><a class="code" href="group__EM__Priv.html#ga18423a42ce6557dc33287d3979ccc3c6">newRatExpr</a>(i), e.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>(), e.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());</div>
<div class="line"><a name="l00728"></a><span class="lineno"> 728</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#ab3afa2471d244b129865548afe06ca89" title="Create a new theorem. See also newRWTheorem() and newReflTheorem()">newTheorem</a>(e.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>()[i], <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a>(e), pf);</div>
<div class="line"><a name="l00729"></a><span class="lineno"> 729</span> }</div>
<div class="line"><a name="l00730"></a><span class="lineno"> 730</span> </div>
<div class="line"><a name="l00731"></a><span class="lineno"> 731</span> <span class="comment"></span></div>
<div class="line"><a name="l00732"></a><span class="lineno"> 732</span> <span class="comment">//! e1, e2 ==> AND(e1, e2)</span></div>
<div class="line"><a name="l00733"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a733e7c5fe7b46d1af284c7c30c94025a"> 733</a></span> <span class="comment"></span><a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a733e7c5fe7b46d1af284c7c30c94025a" title="e1, e2 ==> AND(e1, e2)">CommonTheoremProducer::andIntro</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& e1, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& e2) {</div>
<div class="line"><a name="l00734"></a><span class="lineno"> 734</span>  vector<Theorem> thms;</div>
<div class="line"><a name="l00735"></a><span class="lineno"> 735</span>  thms.push_back(e1);</div>
<div class="line"><a name="l00736"></a><span class="lineno"> 736</span>  thms.push_back(e2);</div>
<div class="line"><a name="l00737"></a><span class="lineno"> 737</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a733e7c5fe7b46d1af284c7c30c94025a" title="e1, e2 ==> AND(e1, e2)">andIntro</a>(thms);</div>
<div class="line"><a name="l00738"></a><span class="lineno"> 738</span> }</div>
<div class="line"><a name="l00739"></a><span class="lineno"> 739</span> </div>
<div class="line"><a name="l00740"></a><span class="lineno"> 740</span> </div>
<div class="line"><a name="l00741"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a27ccedb2c4fb06b63f4019effb22feff"> 741</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a733e7c5fe7b46d1af284c7c30c94025a" title="e1, e2 ==> AND(e1, e2)">CommonTheoremProducer::andIntro</a>(<span class="keyword">const</span> vector<Theorem>& es) {</div>
<div class="line"><a name="l00742"></a><span class="lineno"> 742</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00743"></a><span class="lineno"> 743</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)</div>
<div class="line"><a name="l00744"></a><span class="lineno"> 744</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(es.size() > 1,</div>
<div class="line"><a name="l00745"></a><span class="lineno"> 745</span>  <span class="stringliteral">"andIntro(vector<Theorem>): vector must have more than 1 element"</span>);</div>
<div class="line"><a name="l00746"></a><span class="lineno"> 746</span>  <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a> a(es);</div>
<div class="line"><a name="l00747"></a><span class="lineno"> 747</span>  <span class="comment">/*</span></div>
<div class="line"><a name="l00748"></a><span class="lineno"> 748</span> <span class="comment"> if(withProof()) {</span></div>
<div class="line"><a name="l00749"></a><span class="lineno"> 749</span> <span class="comment"> vector<Proof> pfs;</span></div>
<div class="line"><a name="l00750"></a><span class="lineno"> 750</span> <span class="comment"> for(vector<Theorem>::const_iterator i=es.begin(), iend=es.end();</span></div>
<div class="line"><a name="l00751"></a><span class="lineno"> 751</span> <span class="comment"> i!=iend; ++i)</span></div>
<div class="line"><a name="l00752"></a><span class="lineno"> 752</span> <span class="comment"> pfs.push_back(i->getProof());</span></div>
<div class="line"><a name="l00753"></a><span class="lineno"> 753</span> <span class="comment"> // pf = newPf("andI", andExpr(kids), pfs);</span></div>
<div class="line"><a name="l00754"></a><span class="lineno"> 754</span> <span class="comment"> }</span></div>
<div class="line"><a name="l00755"></a><span class="lineno"> 755</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00756"></a><span class="lineno"> 756</span>  vector<Expr> kids;</div>
<div class="line"><a name="l00757"></a><span class="lineno"> 757</span>  <span class="keywordflow">for</span>(vector<Theorem>::const_iterator i=es.begin(), iend=es.end();</div>
<div class="line"><a name="l00758"></a><span class="lineno"> 758</span>  i!=iend; ++i)</div>
<div class="line"><a name="l00759"></a><span class="lineno"> 759</span>  kids.push_back(i->getExpr());</div>
<div class="line"><a name="l00760"></a><span class="lineno"> 760</span> </div>
<div class="line"><a name="l00761"></a><span class="lineno"> 761</span>  <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {</div>
<div class="line"><a name="l00762"></a><span class="lineno"> 762</span>  vector<Proof> pfs;</div>
<div class="line"><a name="l00763"></a><span class="lineno"> 763</span>  <span class="keywordflow">for</span>(vector<Theorem>::const_iterator i=es.begin(), iend=es.end();</div>
<div class="line"><a name="l00764"></a><span class="lineno"> 764</span>  i!=iend; ++i)</div>
<div class="line"><a name="l00765"></a><span class="lineno"> 765</span>  pfs.push_back(i->getProof());</div>
<div class="line"><a name="l00766"></a><span class="lineno"> 766</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"andI"</span>, <a class="code" href="namespaceCVC3.html#ad4258158bba138eb54b9080af7f8223a">andExpr</a>(kids), pfs);</div>
<div class="line"><a name="l00767"></a><span class="lineno"> 767</span>  }</div>
<div class="line"><a name="l00768"></a><span class="lineno"> 768</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#ab3afa2471d244b129865548afe06ca89" title="Create a new theorem. See also newRWTheorem() and newReflTheorem()">newTheorem</a>(<a class="code" href="namespaceCVC3.html#ad4258158bba138eb54b9080af7f8223a">andExpr</a>(kids), a, pf);</div>
<div class="line"><a name="l00769"></a><span class="lineno"> 769</span> }</div>
<div class="line"><a name="l00770"></a><span class="lineno"> 770</span> </div>
<div class="line"><a name="l00771"></a><span class="lineno"> 771</span> </div>
<div class="line"><a name="l00772"></a><span class="lineno"> 772</span> <span class="comment">// G,a1,...,an |- phi</span></div>
<div class="line"><a name="l00773"></a><span class="lineno"> 773</span> <span class="comment">// -------------------------------------------------</span></div>
<div class="line"><a name="l00774"></a><span class="lineno"> 774</span> <span class="comment">// G |- (a1 & ... & an) -> phi</span></div>
<div class="line"><a name="l00775"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a414b98f6715044635975f8675f770c0b"> 775</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a414b98f6715044635975f8675f770c0b" title="Implication introduction rule: .">CommonTheoremProducer::implIntro</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& phi,</div>
<div class="line"><a name="l00776"></a><span class="lineno"> 776</span>  <span class="keyword">const</span> std::vector<Expr>& assump) {</div>
<div class="line"><a name="l00777"></a><span class="lineno"> 777</span>  <span class="keywordtype">bool</span> checkProofs(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>);</div>
<div class="line"><a name="l00778"></a><span class="lineno"> 778</span>  <span class="comment">// This rule only makes sense when runnnig with assumptions</span></div>
<div class="line"><a name="l00779"></a><span class="lineno"> 779</span>  <span class="keywordflow">if</span>(checkProofs) {</div>
<div class="line"><a name="l00780"></a><span class="lineno"> 780</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(<a class="code" href="classCVC3_1_1TheoremProducer.html#a32afe6d99e661b5c70082036e40d48bc" title="Testing whether to generate assumptions.">withAssumptions</a>(),</div>
<div class="line"><a name="l00781"></a><span class="lineno"> 781</span>  <span class="stringliteral">"implIntro: called while running without assumptions"</span>);</div>
<div class="line"><a name="l00782"></a><span class="lineno"> 782</span>  }</div>
<div class="line"><a name="l00783"></a><span class="lineno"> 783</span> </div>
<div class="line"><a name="l00784"></a><span class="lineno"> 784</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a>& phiAssump = phi.<a class="code" href="classCVC3_1_1Theorem.html#a5e9ab00a613df15cc02f55edb55a67b3">getAssumptionsRef</a>();</div>
<div class="line"><a name="l00785"></a><span class="lineno"> 785</span> </div>
<div class="line"><a name="l00786"></a><span class="lineno"> 786</span>  <span class="keywordflow">if</span>(checkProofs) {</div>
<div class="line"><a name="l00787"></a><span class="lineno"> 787</span>  <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> i=0; i<assump.size(); i++) {</div>
<div class="line"><a name="l00788"></a><span class="lineno"> 788</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& thm = phiAssump[assump[i]];</div>
<div class="line"><a name="l00789"></a><span class="lineno"> 789</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(!thm.<a class="code" href="classCVC3_1_1Theorem.html#afc6fdb0507eb3669e28d9be5ed0bd333">isNull</a>() && thm.<a class="code" href="classCVC3_1_1Theorem.html#a05282db6832afb4f198d8c6b2b67aeb1">isAssump</a>(),</div>
<div class="line"><a name="l00790"></a><span class="lineno"> 790</span>  <span class="stringliteral">"implIntro: this is not an assumption of phi:\n\n"</span></div>
<div class="line"><a name="l00791"></a><span class="lineno"> 791</span>  <span class="stringliteral">" a["</span>+<a class="code" href="namespaceCVC3.html#af69618103f1f0f2eadada0796a2a940c">int2string</a>(i)+<span class="stringliteral">"] = "</span>+assump[i].toString()</div>
<div class="line"><a name="l00792"></a><span class="lineno"> 792</span>  +<span class="stringliteral">"\n\n phi = "</span>+phi.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>().<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());</div>
<div class="line"><a name="l00793"></a><span class="lineno"> 793</span>  }</div>
<div class="line"><a name="l00794"></a><span class="lineno"> 794</span>  }</div>
<div class="line"><a name="l00795"></a><span class="lineno"> 795</span> </div>
<div class="line"><a name="l00796"></a><span class="lineno"> 796</span>  <span class="comment">// Proof compaction: trivial derivation</span></div>
<div class="line"><a name="l00797"></a><span class="lineno"> 797</span>  <span class="keywordflow">if</span>(assump.size() == 0) <span class="keywordflow">return</span> phi;</div>
<div class="line"><a name="l00798"></a><span class="lineno"> 798</span> </div>
<div class="line"><a name="l00799"></a><span class="lineno"> 799</span>  <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a> a(phiAssump - assump);</div>
<div class="line"><a name="l00800"></a><span class="lineno"> 800</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00801"></a><span class="lineno"> 801</span>  <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {</div>
<div class="line"><a name="l00802"></a><span class="lineno"> 802</span>  vector<Proof> u; <span class="comment">// Proof labels for assumptions</span></div>
<div class="line"><a name="l00803"></a><span class="lineno"> 803</span>  <span class="keywordflow">for</span>(vector<Expr>::const_iterator i=assump.begin(), iend=assump.end();</div>
<div class="line"><a name="l00804"></a><span class="lineno"> 804</span>  i!=iend; ++i) {</div>
<div class="line"><a name="l00805"></a><span class="lineno"> 805</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& t = phiAssump[*i];</div>
<div class="line"><a name="l00806"></a><span class="lineno"> 806</span>  u.push_back(t.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());</div>
<div class="line"><a name="l00807"></a><span class="lineno"> 807</span>  }</div>
<div class="line"><a name="l00808"></a><span class="lineno"> 808</span>  <span class="comment">// Arguments to the proof rule:</span></div>
<div class="line"><a name="l00809"></a><span class="lineno"> 809</span>  <span class="comment">// impl_intro_3(phi, a1,...,an,tcc1,...tccn,pf_tcc1,...pf_tccn,</span></div>
<div class="line"><a name="l00810"></a><span class="lineno"> 810</span>  <span class="comment">// [lambda(a1,...,an): pf_phi])</span></div>
<div class="line"><a name="l00811"></a><span class="lineno"> 811</span>  vector<Expr> args;</div>
<div class="line"><a name="l00812"></a><span class="lineno"> 812</span>  vector<Proof> pfs;</div>
<div class="line"><a name="l00813"></a><span class="lineno"> 813</span>  args.push_back(phi.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>());</div>
<div class="line"><a name="l00814"></a><span class="lineno"> 814</span>  args.insert(args.end(), assump.begin(), assump.end());</div>
<div class="line"><a name="l00815"></a><span class="lineno"> 815</span>  <span class="comment">// Lambda-abstraction of pf_phi</span></div>
<div class="line"><a name="l00816"></a><span class="lineno"> 816</span>  pfs.push_back(<a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(u, assump, phi.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>()));</div>
<div class="line"><a name="l00817"></a><span class="lineno"> 817</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"impl_intro"</span>, args, pfs);</div>
<div class="line"><a name="l00818"></a><span class="lineno"> 818</span>  }</div>
<div class="line"><a name="l00819"></a><span class="lineno"> 819</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> conj(<a class="code" href="namespaceCVC3.html#ad4258158bba138eb54b9080af7f8223a">andExpr</a>(assump));</div>
<div class="line"><a name="l00820"></a><span class="lineno"> 820</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#ab3afa2471d244b129865548afe06ca89" title="Create a new theorem. See also newRWTheorem() and newReflTheorem()">newTheorem</a>(conj.<a class="code" href="group__ExprPkg.html#ga8dd97bcdeb9d8870238f94a263fd083b">impExpr</a>(phi.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>()), a, pf);</div>
<div class="line"><a name="l00821"></a><span class="lineno"> 821</span> }</div>
<div class="line"><a name="l00822"></a><span class="lineno"> 822</span> </div>
<div class="line"><a name="l00823"></a><span class="lineno"> 823</span> </div>
<div class="line"><a name="l00824"></a><span class="lineno"> 824</span> <span class="comment">// e1 => e2 ==> ~e2 => ~e1</span></div>
<div class="line"><a name="l00825"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a38bb194aa15b10dd0959cfff5e33014b"> 825</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a38bb194aa15b10dd0959cfff5e33014b" title="e1 => e2 ==> ~e2 => ~e1">CommonTheoremProducer::implContrapositive</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& thm) {</div>
<div class="line"><a name="l00826"></a><span class="lineno"> 826</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& impl = thm.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>();</div>
<div class="line"><a name="l00827"></a><span class="lineno"> 827</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {</div>
<div class="line"><a name="l00828"></a><span class="lineno"> 828</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(impl.<a class="code" href="group__ExprPkg.html#ga9067c706c6454ea1761ace7d7837af46">isImpl</a>() && impl.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>()==2,</div>
<div class="line"><a name="l00829"></a><span class="lineno"> 829</span>  <span class="stringliteral">"CommonTheoremProducer::implContrapositive: thm="</span></div>
<div class="line"><a name="l00830"></a><span class="lineno"> 830</span>  +impl.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());</div>
<div class="line"><a name="l00831"></a><span class="lineno"> 831</span>  }</div>
<div class="line"><a name="l00832"></a><span class="lineno"> 832</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00833"></a><span class="lineno"> 833</span>  <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>())</div>
<div class="line"><a name="l00834"></a><span class="lineno"> 834</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"impl_contrapositive"</span>, impl, thm.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());</div>
<div class="line"><a name="l00835"></a><span class="lineno"> 835</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#ab3afa2471d244b129865548afe06ca89" title="Create a new theorem. See also newRWTheorem() and newReflTheorem()">newTheorem</a>(impl[1].negate().impExpr(impl[0].negate()), <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a>(thm), pf);</div>
<div class="line"><a name="l00836"></a><span class="lineno"> 836</span> }</div>
<div class="line"><a name="l00837"></a><span class="lineno"> 837</span> </div>
<div class="line"><a name="l00838"></a><span class="lineno"> 838</span> </div>
<div class="line"><a name="l00839"></a><span class="lineno"> 839</span> <span class="comment">// ==> ITE(TRUE, e1, e2) == e1</span></div>
<div class="line"><a name="l00840"></a><span class="lineno"> 840</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a></div>
<div class="line"><a name="l00841"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a2459a321ea5cdab974dc2cf029934a71"> 841</a></span> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a2459a321ea5cdab974dc2cf029934a71" title="==> ITE(TRUE, e1, e2) == e1">CommonTheoremProducer::rewriteIteTrue</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e) {</div>
<div class="line"><a name="l00842"></a><span class="lineno"> 842</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00843"></a><span class="lineno"> 843</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)</div>
<div class="line"><a name="l00844"></a><span class="lineno"> 844</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#gaef13fa4752a1fb28e129a1efd0e26f01">isITE</a>() && e[0].<a class="code" href="group__ExprPkg.html#gadf8596df73fa69ff8e6a22b9321f5c34">isTrue</a>(),</div>
<div class="line"><a name="l00845"></a><span class="lineno"> 845</span>  <span class="stringliteral">"rewriteIteTrue precondition violated"</span>);</div>
<div class="line"><a name="l00846"></a><span class="lineno"> 846</span>  <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {</div>
<div class="line"><a name="l00847"></a><span class="lineno"> 847</span>  <a class="code" href="classCVC3_1_1Type.html" title="MS C++ specific settings.">Type</a> t = e[1].<a class="code" href="group__ExprPkg.html#ga42929221eb172250697b72c28af6de07" title="Get the type. Recursively compute if necessary.">getType</a>();</div>
<div class="line"><a name="l00848"></a><span class="lineno"> 848</span>  <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(!t.<a class="code" href="classCVC3_1_1Type.html#ab5fe00c99ee91f369e3339b26bab0bf7">isNull</a>(), <span class="stringliteral">"rewriteIteTrue: e1 has no type: "</span></div>
<div class="line"><a name="l00849"></a><span class="lineno"> 849</span>  + e[1].<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());</div>
<div class="line"><a name="l00850"></a><span class="lineno"> 850</span>  <span class="keywordtype">bool</span> useIff = t.<a class="code" href="classCVC3_1_1Type.html#a38bba404056eadf3c283a67ab2347e02">isBool</a>();</div>
<div class="line"><a name="l00851"></a><span class="lineno"> 851</span>  <span class="keywordflow">if</span>(useIff)</div>
<div class="line"><a name="l00852"></a><span class="lineno"> 852</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"rewrite_ite_true_iff"</span>, e[1], e[2]);</div>
<div class="line"><a name="l00853"></a><span class="lineno"> 853</span>  <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00854"></a><span class="lineno"> 854</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"rewrite_ite_true"</span>, t.<a class="code" href="classCVC3_1_1Type.html#a0bc1eebf8dbd9d2880e1f18d7804e5c2">getExpr</a>(), e[1], e[2]);</div>
<div class="line"><a name="l00855"></a><span class="lineno"> 855</span>  }</div>
<div class="line"><a name="l00856"></a><span class="lineno"> 856</span>  }</div>
<div class="line"><a name="l00857"></a><span class="lineno"> 857</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, e[1], <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l00858"></a><span class="lineno"> 858</span> }</div>
<div class="line"><a name="l00859"></a><span class="lineno"> 859</span> </div>
<div class="line"><a name="l00860"></a><span class="lineno"> 860</span> </div>
<div class="line"><a name="l00861"></a><span class="lineno"> 861</span> <span class="comment">// ==> ITE(FALSE, e1, e2) == e2</span></div>
<div class="line"><a name="l00862"></a><span class="lineno"> 862</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a></div>
<div class="line"><a name="l00863"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a1711198c758a0475449b1889815f1371"> 863</a></span> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a1711198c758a0475449b1889815f1371" title="==> ITE(FALSE, e1, e2) == e2">CommonTheoremProducer::rewriteIteFalse</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e) {</div>
<div class="line"><a name="l00864"></a><span class="lineno"> 864</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00865"></a><span class="lineno"> 865</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)</div>
<div class="line"><a name="l00866"></a><span class="lineno"> 866</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#gaef13fa4752a1fb28e129a1efd0e26f01">isITE</a>() && e[0].<a class="code" href="group__ExprPkg.html#ga6173f64b22cba76472cd0c814bbf6dae">isFalse</a>(),</div>
<div class="line"><a name="l00867"></a><span class="lineno"> 867</span>  <span class="stringliteral">"rewriteIteFalse precondition violated"</span>);</div>
<div class="line"><a name="l00868"></a><span class="lineno"> 868</span>  <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {</div>
<div class="line"><a name="l00869"></a><span class="lineno"> 869</span>  <a class="code" href="classCVC3_1_1Type.html" title="MS C++ specific settings.">Type</a> t = e[1].<a class="code" href="group__ExprPkg.html#ga42929221eb172250697b72c28af6de07" title="Get the type. Recursively compute if necessary.">getType</a>();</div>
<div class="line"><a name="l00870"></a><span class="lineno"> 870</span>  <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(!t.<a class="code" href="classCVC3_1_1Type.html#ab5fe00c99ee91f369e3339b26bab0bf7">isNull</a>(), <span class="stringliteral">"rewriteIteFalse: e1 has no type: "</span></div>
<div class="line"><a name="l00871"></a><span class="lineno"> 871</span>  + e[1].<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());</div>
<div class="line"><a name="l00872"></a><span class="lineno"> 872</span>  <span class="keywordtype">bool</span> useIff = t.<a class="code" href="classCVC3_1_1Type.html#a38bba404056eadf3c283a67ab2347e02">isBool</a>();</div>
<div class="line"><a name="l00873"></a><span class="lineno"> 873</span>  <span class="keywordflow">if</span>(useIff)</div>
<div class="line"><a name="l00874"></a><span class="lineno"> 874</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"rewrite_ite_false_iff"</span>, e[1], e[2]);</div>
<div class="line"><a name="l00875"></a><span class="lineno"> 875</span>  <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00876"></a><span class="lineno"> 876</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"rewrite_ite_false"</span>, t.<a class="code" href="classCVC3_1_1Type.html#a0bc1eebf8dbd9d2880e1f18d7804e5c2">getExpr</a>(), e[1], e[2]);</div>
<div class="line"><a name="l00877"></a><span class="lineno"> 877</span>  }</div>
<div class="line"><a name="l00878"></a><span class="lineno"> 878</span>  }</div>
<div class="line"><a name="l00879"></a><span class="lineno"> 879</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, e[2], <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l00880"></a><span class="lineno"> 880</span> }</div>
<div class="line"><a name="l00881"></a><span class="lineno"> 881</span> </div>
<div class="line"><a name="l00882"></a><span class="lineno"> 882</span> </div>
<div class="line"><a name="l00883"></a><span class="lineno"> 883</span> <span class="comment">// ==> ITE(c, e, e) == e</span></div>
<div class="line"><a name="l00884"></a><span class="lineno"> 884</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a></div>
<div class="line"><a name="l00885"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#aad60929c1c8c79287a16bc995cd9c51c"> 885</a></span> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#aad60929c1c8c79287a16bc995cd9c51c" title="==> ITE(c, e, e) == e">CommonTheoremProducer::rewriteIteSame</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e) {</div>
<div class="line"><a name="l00886"></a><span class="lineno"> 886</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00887"></a><span class="lineno"> 887</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)</div>
<div class="line"><a name="l00888"></a><span class="lineno"> 888</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#gaef13fa4752a1fb28e129a1efd0e26f01">isITE</a>() && e[1] == e[2],</div>
<div class="line"><a name="l00889"></a><span class="lineno"> 889</span>  <span class="stringliteral">"rewriteIteSame precondition violated"</span>);</div>
<div class="line"><a name="l00890"></a><span class="lineno"> 890</span>  <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {</div>
<div class="line"><a name="l00891"></a><span class="lineno"> 891</span>  <a class="code" href="classCVC3_1_1Type.html" title="MS C++ specific settings.">Type</a> t = e[1].<a class="code" href="group__ExprPkg.html#ga42929221eb172250697b72c28af6de07" title="Get the type. Recursively compute if necessary.">getType</a>();</div>
<div class="line"><a name="l00892"></a><span class="lineno"> 892</span>  <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(!t.<a class="code" href="classCVC3_1_1Type.html#ab5fe00c99ee91f369e3339b26bab0bf7">isNull</a>(), <span class="stringliteral">"rewriteIteSame: e[1] has no type: "</span></div>
<div class="line"><a name="l00893"></a><span class="lineno"> 893</span>  + e[1].<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());</div>
<div class="line"><a name="l00894"></a><span class="lineno"> 894</span>  <span class="keywordtype">bool</span> useIff = t.<a class="code" href="classCVC3_1_1Type.html#a38bba404056eadf3c283a67ab2347e02">isBool</a>();</div>
<div class="line"><a name="l00895"></a><span class="lineno"> 895</span>  <span class="keywordflow">if</span>(useIff)</div>
<div class="line"><a name="l00896"></a><span class="lineno"> 896</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"rewrite_ite_same_iff"</span>, e[0], e[1]);</div>
<div class="line"><a name="l00897"></a><span class="lineno"> 897</span>  <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00898"></a><span class="lineno"> 898</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"rewrite_ite_same"</span>, t.<a class="code" href="classCVC3_1_1Type.html#a0bc1eebf8dbd9d2880e1f18d7804e5c2">getExpr</a>(), e[0], e[1]);</div>
<div class="line"><a name="l00899"></a><span class="lineno"> 899</span>  }</div>
<div class="line"><a name="l00900"></a><span class="lineno"> 900</span>  }</div>
<div class="line"><a name="l00901"></a><span class="lineno"> 901</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, e[1], <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l00902"></a><span class="lineno"> 902</span> }</div>
<div class="line"><a name="l00903"></a><span class="lineno"> 903</span> </div>
<div class="line"><a name="l00904"></a><span class="lineno"> 904</span> </div>
<div class="line"><a name="l00905"></a><span class="lineno"> 905</span> <span class="comment">// NOT e ==> e IFF FALSE</span></div>
<div class="line"><a name="l00906"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ab9c0b6784e83fc0a4727a58c0a82b67a"> 906</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ab9c0b6784e83fc0a4727a58c0a82b67a">CommonTheoremProducer::notToIff</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& not_e)</div>
<div class="line"><a name="l00907"></a><span class="lineno"> 907</span> {</div>
<div class="line"><a name="l00908"></a><span class="lineno"> 908</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)</div>
<div class="line"><a name="l00909"></a><span class="lineno"> 909</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(not_e.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>().<a class="code" href="group__ExprPkg.html#ga1a898858ccadce833df5a294c7740f11">isNot</a>(),</div>
<div class="line"><a name="l00910"></a><span class="lineno"> 910</span>  <span class="stringliteral">"notToIff: not NOT: "</span>+not_e.<a class="code" href="classCVC3_1_1Theorem.html#ac4b1c9570ffb9cc901627ef2abb9ff77">toString</a>());</div>
<div class="line"><a name="l00911"></a><span class="lineno"> 911</span> </div>
<div class="line"><a name="l00912"></a><span class="lineno"> 912</span>  <span class="comment">// Make it an atomic rule (more efficient)</span></div>
<div class="line"><a name="l00913"></a><span class="lineno"> 913</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> e(not_e.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>()[0]);</div>
<div class="line"><a name="l00914"></a><span class="lineno"> 914</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00915"></a><span class="lineno"> 915</span>  <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>())</div>
<div class="line"><a name="l00916"></a><span class="lineno"> 916</span>  pf=<a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"not_to_iff"</span>, e, not_e.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());</div>
<div class="line"><a name="l00917"></a><span class="lineno"> 917</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b706238281ad141a57363a6890f14a5">d_em</a>-><a class="code" href="group__EM__Priv.html#gaae9db4c93c67cbf8bbf5d1e60e94f1ae" title="FALSE Expr.">falseExpr</a>(), <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a>(not_e), pf);</div>
<div class="line"><a name="l00918"></a><span class="lineno"> 918</span> }</div>
<div class="line"><a name="l00919"></a><span class="lineno"> 919</span> </div>
<div class="line"><a name="l00920"></a><span class="lineno"> 920</span> </div>
<div class="line"><a name="l00921"></a><span class="lineno"> 921</span> <span class="comment">// e1 XOR e2 ==> e1 IFF (NOT e2)</span></div>
<div class="line"><a name="l00922"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a5b3a8e2d8bb3469935ecd1476778acaa"> 922</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a5b3a8e2d8bb3469935ecd1476778acaa">CommonTheoremProducer::xorToIff</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e)</div>
<div class="line"><a name="l00923"></a><span class="lineno"> 923</span> {</div>
<div class="line"><a name="l00924"></a><span class="lineno"> 924</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {</div>
<div class="line"><a name="l00925"></a><span class="lineno"> 925</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#gace27719ae0da2a171560b9fda9e10c8b">isXor</a>(), <span class="stringliteral">"xorToIff precondition violated"</span>);</div>
<div class="line"><a name="l00926"></a><span class="lineno"> 926</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>() >= 2, <span class="stringliteral">"Expected XOR of arity >= 2"</span>);</div>
<div class="line"><a name="l00927"></a><span class="lineno"> 927</span>  }</div>
<div class="line"><a name="l00928"></a><span class="lineno"> 928</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> res = e[e.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>()-1];</div>
<div class="line"><a name="l00929"></a><span class="lineno"> 929</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = e.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>()-2; i >=0; --i) {</div>
<div class="line"><a name="l00930"></a><span class="lineno"> 930</span>  res = (!e[i]).iffExpr(res);</div>
<div class="line"><a name="l00931"></a><span class="lineno"> 931</span>  }</div>
<div class="line"><a name="l00932"></a><span class="lineno"> 932</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00933"></a><span class="lineno"> 933</span>  <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {</div>
<div class="line"><a name="l00934"></a><span class="lineno"> 934</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"xorToIff"</span>);</div>
<div class="line"><a name="l00935"></a><span class="lineno"> 935</span>  }</div>
<div class="line"><a name="l00936"></a><span class="lineno"> 936</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, res, <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l00937"></a><span class="lineno"> 937</span> }</div>
<div class="line"><a name="l00938"></a><span class="lineno"> 938</span> </div>
<div class="line"><a name="l00939"></a><span class="lineno"> 939</span> </div>
<div class="line"><a name="l00940"></a><span class="lineno"> 940</span> <span class="comment">// ==> IFF(e1,e2) IFF <simplified expr></span></div>
<div class="line"><a name="l00941"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ab2233ef28defaf0af1b6a8cc4b887708"> 941</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ab2233ef28defaf0af1b6a8cc4b887708" title="==> (e1 <=> e2) <=> [simplified expr]">CommonTheoremProducer::rewriteIff</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e) {</div>
<div class="line"><a name="l00942"></a><span class="lineno"> 942</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00943"></a><span class="lineno"> 943</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)</div>
<div class="line"><a name="l00944"></a><span class="lineno"> 944</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#gabe385fb97505cccb75702378511c5375">isIff</a>(), <span class="stringliteral">"rewriteIff precondition violated"</span>);</div>
<div class="line"><a name="l00945"></a><span class="lineno"> 945</span>  <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {</div>
<div class="line"><a name="l00946"></a><span class="lineno"> 946</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"rewrite_iff"</span>, e[0], e[1]);</div>
<div class="line"><a name="l00947"></a><span class="lineno"> 947</span>  }</div>
<div class="line"><a name="l00948"></a><span class="lineno"> 948</span> </div>
<div class="line"><a name="l00949"></a><span class="lineno"> 949</span>  <span class="keywordflow">if</span>(e[0] == e[1]) <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a26b00cb395f45971ace24a4529189e1b" title="==> (a == a) IFF TRUE">rewriteReflexivity</a>(e);</div>
<div class="line"><a name="l00950"></a><span class="lineno"> 950</span> </div>
<div class="line"><a name="l00951"></a><span class="lineno"> 951</span>  <span class="keywordflow">switch</span>(e[0].getKind()) {</div>
<div class="line"><a name="l00952"></a><span class="lineno"> 952</span>  <span class="keywordflow">case</span> <a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba1fad76919fba496de21807e2beec533d">TRUE_EXPR</a>:</div>
<div class="line"><a name="l00953"></a><span class="lineno"> 953</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, e[1], <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l00954"></a><span class="lineno"> 954</span>  <span class="keywordflow">case</span> <a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba5f71bd33a6528411ae681f5291de1d82">FALSE_EXPR</a>:</div>
<div class="line"><a name="l00955"></a><span class="lineno"> 955</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, !e[1], <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>() ,pf);</div>
<div class="line"><a name="l00956"></a><span class="lineno"> 956</span>  <span class="keywordflow">case</span> <a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba0378ebc895849163b249d0b330257dd6">NOT</a>:</div>
<div class="line"><a name="l00957"></a><span class="lineno"> 957</span>  <span class="keywordflow">if</span>(e[0][0]==e[1]) </div>
<div class="line"><a name="l00958"></a><span class="lineno"> 958</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b706238281ad141a57363a6890f14a5">d_em</a>-><a class="code" href="group__EM__Priv.html#gaae9db4c93c67cbf8bbf5d1e60e94f1ae" title="FALSE Expr.">falseExpr</a>(), <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l00959"></a><span class="lineno"> 959</span>  <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00960"></a><span class="lineno"> 960</span>  <span class="keywordflow">default</span>: <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00961"></a><span class="lineno"> 961</span>  }</div>
<div class="line"><a name="l00962"></a><span class="lineno"> 962</span>  </div>
<div class="line"><a name="l00963"></a><span class="lineno"> 963</span>  <span class="keywordflow">switch</span>(e[1].getKind()) {</div>
<div class="line"><a name="l00964"></a><span class="lineno"> 964</span>  <span class="keywordflow">case</span> <a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba1fad76919fba496de21807e2beec533d">TRUE_EXPR</a>:</div>
<div class="line"><a name="l00965"></a><span class="lineno"> 965</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, e[0], <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l00966"></a><span class="lineno"> 966</span>  <span class="keywordflow">case</span> <a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba5f71bd33a6528411ae681f5291de1d82">FALSE_EXPR</a>:</div>
<div class="line"><a name="l00967"></a><span class="lineno"> 967</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, !e[0], <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l00968"></a><span class="lineno"> 968</span>  <span class="keywordflow">case</span> <a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba0378ebc895849163b249d0b330257dd6">NOT</a>:</div>
<div class="line"><a name="l00969"></a><span class="lineno"> 969</span>  <span class="keywordflow">if</span>(e[0]==e[1][0]) </div>
<div class="line"><a name="l00970"></a><span class="lineno"> 970</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b706238281ad141a57363a6890f14a5">d_em</a>-><a class="code" href="group__EM__Priv.html#gaae9db4c93c67cbf8bbf5d1e60e94f1ae" title="FALSE Expr.">falseExpr</a>(), <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l00971"></a><span class="lineno"> 971</span>  <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00972"></a><span class="lineno"> 972</span>  <span class="keywordflow">default</span>:</div>
<div class="line"><a name="l00973"></a><span class="lineno"> 973</span>  <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00974"></a><span class="lineno"> 974</span>  }</div>
<div class="line"><a name="l00975"></a><span class="lineno"> 975</span> </div>
<div class="line"><a name="l00976"></a><span class="lineno"> 976</span>  <span class="keywordflow">if</span>(e[0] < e[1])</div>
<div class="line"><a name="l00977"></a><span class="lineno"> 977</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ac0813c68583ad6f0661d4c1affe3c6d8">rewriteUsingSymmetry</a>(e);</div>
<div class="line"><a name="l00978"></a><span class="lineno"> 978</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00979"></a><span class="lineno"> 979</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a306058f7ced3d7220b2d1a40892faae7">reflexivityRule</a>(e);</div>
<div class="line"><a name="l00980"></a><span class="lineno"> 980</span> }</div>
<div class="line"><a name="l00981"></a><span class="lineno"> 981</span> </div>
<div class="line"><a name="l00982"></a><span class="lineno"> 982</span> </div>
<div class="line"><a name="l00983"></a><span class="lineno"> 983</span> <span class="comment">// ==> AND(e_1,...,e_n) IFF <simplified expr></span></div>
<div class="line"><a name="l00984"></a><span class="lineno"> 984</span> <span class="comment">// 1) if e_i = FALSE then return FALSE</span></div>
<div class="line"><a name="l00985"></a><span class="lineno"> 985</span> <span class="comment">// 2) if e_i = TRUE, remove it from children</span></div>
<div class="line"><a name="l00986"></a><span class="lineno"> 986</span> <span class="comment">// 3) if e_i = AND(f_1,...,f_m) then AND(e_1,...,e_{i-1},f_1,...,f_m,e_{i+1},...,e_n)</span></div>
<div class="line"><a name="l00987"></a><span class="lineno"> 987</span> <span class="comment">// 4) if n=0 return TRUE</span></div>
<div class="line"><a name="l00988"></a><span class="lineno"> 988</span> <span class="comment">// 5) if n=1 return e_1</span></div>
<div class="line"><a name="l00989"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ad74cb42b63d2f92b55c79281e84816c1"> 989</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ad74cb42b63d2f92b55c79281e84816c1" title="==> AND(e1,e2) IFF [simplified expr]">CommonTheoremProducer::rewriteAnd</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e) {</div>
<div class="line"><a name="l00990"></a><span class="lineno"> 990</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)</div>
<div class="line"><a name="l00991"></a><span class="lineno"> 991</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#ga383260cf4f8919728e2712e6e11f21fa">isAnd</a>(), <span class="stringliteral">"rewriteAnd: bad Expr: "</span> + e.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());</div>
<div class="line"><a name="l00992"></a><span class="lineno"> 992</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00993"></a><span class="lineno"> 993</span>  <a class="code" href="classCVC3_1_1ExprMap.html">ExprMap<bool></a> newKids;</div>
<div class="line"><a name="l00994"></a><span class="lineno"> 994</span>  <span class="keywordtype">bool</span> isFalse (<span class="keyword">false</span>);</div>
<div class="line"><a name="l00995"></a><span class="lineno"> 995</span>  <span class="keywordflow">for</span> (<a class="code" href="classCVC3_1_1Expr_1_1iterator.html">Expr::iterator</a> k=e.<a class="code" href="group__ExprPkg.html#gac890e13db184610276fc533fa4b4fe99" title="Begin iterator.">begin</a>(), kend=e.<a class="code" href="group__ExprPkg.html#gaf6048a5030c8fa2511bf5dfee868e653" title="End iterator.">end</a>(); !isFalse && k != kend; ++k) {</div>
<div class="line"><a name="l00996"></a><span class="lineno"> 996</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& ek = *k;</div>
<div class="line"><a name="l00997"></a><span class="lineno"> 997</span>  <span class="keywordflow">if</span> (ek.<a class="code" href="group__ExprPkg.html#ga6173f64b22cba76472cd0c814bbf6dae">isFalse</a>()) { isFalse=<span class="keyword">true</span>; <span class="keywordflow">break</span>; }</div>
<div class="line"><a name="l00998"></a><span class="lineno"> 998</span>  <span class="keywordflow">if</span> (ek.<a class="code" href="group__ExprPkg.html#ga383260cf4f8919728e2712e6e11f21fa">isAnd</a>() && ek.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>() < 10) {</div>
<div class="line"><a name="l00999"></a><span class="lineno"> 999</span>  <span class="keywordflow">for</span>(<a class="code" href="classCVC3_1_1Expr_1_1iterator.html">Expr::iterator</a> j=ek.<a class="code" href="group__ExprPkg.html#gac890e13db184610276fc533fa4b4fe99" title="Begin iterator.">begin</a>(), jend=ek.<a class="code" href="group__ExprPkg.html#gaf6048a5030c8fa2511bf5dfee868e653" title="End iterator.">end</a>(); j!=jend; ++j) {</div>
<div class="line"><a name="l01000"></a><span class="lineno"> 1000</span>  <span class="keywordflow">if</span>(newKids.<a class="code" href="classCVC3_1_1ExprMap.html#aa96dfa3a54a131cdb0964ef4b80e324f">count</a>(j->negate()) > 0) { isFalse=<span class="keyword">true</span>; <span class="keywordflow">break</span>; }</div>
<div class="line"><a name="l01001"></a><span class="lineno"> 1001</span>  newKids[*j]=<span class="keyword">true</span>;</div>
<div class="line"><a name="l01002"></a><span class="lineno"> 1002</span>  }</div>
<div class="line"><a name="l01003"></a><span class="lineno"> 1003</span>  } <span class="keywordflow">else</span> <span class="keywordflow">if</span>(!ek.<a class="code" href="group__ExprPkg.html#gadf8596df73fa69ff8e6a22b9321f5c34">isTrue</a>()) {</div>
<div class="line"><a name="l01004"></a><span class="lineno"> 1004</span>  <span class="keywordflow">if</span>(newKids.<a class="code" href="classCVC3_1_1ExprMap.html#aa96dfa3a54a131cdb0964ef4b80e324f">count</a>(ek.<a class="code" href="group__ExprPkg.html#gab1ce461dc931af73bf04e88c8d37dcbc">negate</a>()) > 0) { isFalse=<span class="keyword">true</span>; <span class="keywordflow">break</span>; }</div>
<div class="line"><a name="l01005"></a><span class="lineno"> 1005</span>  newKids[ek]=<span class="keyword">true</span>;</div>
<div class="line"><a name="l01006"></a><span class="lineno"> 1006</span>  }</div>
<div class="line"><a name="l01007"></a><span class="lineno"> 1007</span>  }</div>
<div class="line"><a name="l01008"></a><span class="lineno"> 1008</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> res;</div>
<div class="line"><a name="l01009"></a><span class="lineno"> 1009</span>  <span class="keywordflow">if</span> (isFalse) res = <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b706238281ad141a57363a6890f14a5">d_em</a>-><a class="code" href="group__EM__Priv.html#gaae9db4c93c67cbf8bbf5d1e60e94f1ae" title="FALSE Expr.">falseExpr</a>();</div>
<div class="line"><a name="l01010"></a><span class="lineno"> 1010</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (newKids.<a class="code" href="classCVC3_1_1ExprMap.html#a62589c597d245f3245df6d6a5fe6f4f1">size</a>() == 0) res = <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b706238281ad141a57363a6890f14a5">d_em</a>-><a class="code" href="group__EM__Priv.html#ga4471fca49c2acbb7b4cf71e72bc55d6a" title="TRUE Expr.">trueExpr</a>(); <span class="comment">// All newKids were TRUE</span></div>
<div class="line"><a name="l01011"></a><span class="lineno"> 1011</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (newKids.<a class="code" href="classCVC3_1_1ExprMap.html#a62589c597d245f3245df6d6a5fe6f4f1">size</a>() == 1)</div>
<div class="line"><a name="l01012"></a><span class="lineno"> 1012</span>  res = newKids.<a class="code" href="classCVC3_1_1ExprMap.html#a3db85401f8535daf4054fde531cd46b1">begin</a>()->first; <span class="comment">// The only child</span></div>
<div class="line"><a name="l01013"></a><span class="lineno"> 1013</span>  <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l01014"></a><span class="lineno"> 1014</span>  vector<Expr> v;</div>
<div class="line"><a name="l01015"></a><span class="lineno"> 1015</span>  <span class="keywordflow">for</span>(<a class="code" href="classCVC3_1_1ExprMap.html">ExprMap<bool>::iterator</a> i=newKids.<a class="code" href="classCVC3_1_1ExprMap.html#a3db85401f8535daf4054fde531cd46b1">begin</a>(), iend=newKids.<a class="code" href="classCVC3_1_1ExprMap.html#a283ae6c44308cbdda0d82da5a16e52c8">end</a>();</div>
<div class="line"><a name="l01016"></a><span class="lineno"> 1016</span>  i!=iend; ++i)</div>
<div class="line"><a name="l01017"></a><span class="lineno"> 1017</span>  v.push_back(i->first);</div>
<div class="line"><a name="l01018"></a><span class="lineno"> 1018</span>  res = <a class="code" href="namespaceCVC3.html#ad4258158bba138eb54b9080af7f8223a">andExpr</a>(v);</div>
<div class="line"><a name="l01019"></a><span class="lineno"> 1019</span>  }</div>
<div class="line"><a name="l01020"></a><span class="lineno"> 1020</span>  <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {</div>
<div class="line"><a name="l01021"></a><span class="lineno"> 1021</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"rewrite_and"</span>, e,res);</div>
<div class="line"><a name="l01022"></a><span class="lineno"> 1022</span>  }</div>
<div class="line"><a name="l01023"></a><span class="lineno"> 1023</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, res, <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l01024"></a><span class="lineno"> 1024</span> }</div>
<div class="line"><a name="l01025"></a><span class="lineno"> 1025</span> </div>
<div class="line"><a name="l01026"></a><span class="lineno"> 1026</span> </div>
<div class="line"><a name="l01027"></a><span class="lineno"> 1027</span> <span class="comment">// ==> OR(e1,e2) IFF <simplified expr></span></div>
<div class="line"><a name="l01028"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#aa0d6b0fbe3838ae22b4a90d92d1530e2"> 1028</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#aa0d6b0fbe3838ae22b4a90d92d1530e2" title="==> OR(e1,...,en) IFF [simplified expr]">CommonTheoremProducer::rewriteOr</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e) {</div>
<div class="line"><a name="l01029"></a><span class="lineno"> 1029</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)</div>
<div class="line"><a name="l01030"></a><span class="lineno"> 1030</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#ga36f1eff876808586db368dc1b6da5f56">isOr</a>(), <span class="stringliteral">"rewriteOr: bad Expr: "</span> + e.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());</div>
<div class="line"><a name="l01031"></a><span class="lineno"> 1031</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l01032"></a><span class="lineno"> 1032</span>  <a class="code" href="classCVC3_1_1ExprMap.html">ExprMap<bool></a> newKids;</div>
<div class="line"><a name="l01033"></a><span class="lineno"> 1033</span>  <span class="keywordtype">bool</span> isTrue (<span class="keyword">false</span>);</div>
<div class="line"><a name="l01034"></a><span class="lineno"> 1034</span>  <span class="keywordflow">for</span> (<a class="code" href="classCVC3_1_1Expr_1_1iterator.html">Expr::iterator</a> k=e.<a class="code" href="group__ExprPkg.html#gac890e13db184610276fc533fa4b4fe99" title="Begin iterator.">begin</a>(), kend=e.<a class="code" href="group__ExprPkg.html#gaf6048a5030c8fa2511bf5dfee868e653" title="End iterator.">end</a>(); !isTrue && k != kend; ++k) {</div>
<div class="line"><a name="l01035"></a><span class="lineno"> 1035</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& ek = *k;</div>
<div class="line"><a name="l01036"></a><span class="lineno"> 1036</span>  <span class="keywordflow">if</span> (ek.<a class="code" href="group__ExprPkg.html#gadf8596df73fa69ff8e6a22b9321f5c34">isTrue</a>()) { isTrue=<span class="keyword">true</span>; <span class="keywordflow">break</span>; }</div>
<div class="line"><a name="l01037"></a><span class="lineno"> 1037</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (ek.<a class="code" href="group__ExprPkg.html#ga36f1eff876808586db368dc1b6da5f56">isOr</a>() && ek.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>() < 10) {</div>
<div class="line"><a name="l01038"></a><span class="lineno"> 1038</span>  <span class="keywordflow">for</span>(<a class="code" href="classCVC3_1_1Expr_1_1iterator.html">Expr::iterator</a> j=ek.<a class="code" href="group__ExprPkg.html#gac890e13db184610276fc533fa4b4fe99" title="Begin iterator.">begin</a>(), jend=ek.<a class="code" href="group__ExprPkg.html#gaf6048a5030c8fa2511bf5dfee868e653" title="End iterator.">end</a>(); j!=jend; ++j) {</div>
<div class="line"><a name="l01039"></a><span class="lineno"> 1039</span>  <span class="keywordflow">if</span>(newKids.<a class="code" href="classCVC3_1_1ExprMap.html#aa96dfa3a54a131cdb0964ef4b80e324f">count</a>(j->negate()) > 0) { isTrue=<span class="keyword">true</span>; <span class="keywordflow">break</span>; }</div>
<div class="line"><a name="l01040"></a><span class="lineno"> 1040</span>  newKids[*j]=<span class="keyword">true</span>;</div>
<div class="line"><a name="l01041"></a><span class="lineno"> 1041</span>  }</div>
<div class="line"><a name="l01042"></a><span class="lineno"> 1042</span>  } <span class="keywordflow">else</span> <span class="keywordflow">if</span>(!ek.<a class="code" href="group__ExprPkg.html#ga6173f64b22cba76472cd0c814bbf6dae">isFalse</a>()) {</div>
<div class="line"><a name="l01043"></a><span class="lineno"> 1043</span>  <span class="keywordflow">if</span>(newKids.<a class="code" href="classCVC3_1_1ExprMap.html#aa96dfa3a54a131cdb0964ef4b80e324f">count</a>(ek.<a class="code" href="group__ExprPkg.html#gab1ce461dc931af73bf04e88c8d37dcbc">negate</a>()) > 0) { isTrue=<span class="keyword">true</span>; <span class="keywordflow">break</span>; }</div>
<div class="line"><a name="l01044"></a><span class="lineno"> 1044</span>  newKids[ek]=<span class="keyword">true</span>;</div>
<div class="line"><a name="l01045"></a><span class="lineno"> 1045</span>  }</div>
<div class="line"><a name="l01046"></a><span class="lineno"> 1046</span>  }</div>
<div class="line"><a name="l01047"></a><span class="lineno"> 1047</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> res;</div>
<div class="line"><a name="l01048"></a><span class="lineno"> 1048</span>  <span class="keywordflow">if</span> (isTrue) res = <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b706238281ad141a57363a6890f14a5">d_em</a>-><a class="code" href="group__EM__Priv.html#ga4471fca49c2acbb7b4cf71e72bc55d6a" title="TRUE Expr.">trueExpr</a>();</div>
<div class="line"><a name="l01049"></a><span class="lineno"> 1049</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (newKids.<a class="code" href="classCVC3_1_1ExprMap.html#a62589c597d245f3245df6d6a5fe6f4f1">size</a>() == 0) res = <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b706238281ad141a57363a6890f14a5">d_em</a>-><a class="code" href="group__EM__Priv.html#gaae9db4c93c67cbf8bbf5d1e60e94f1ae" title="FALSE Expr.">falseExpr</a>(); <span class="comment">// All kids were FALSE</span></div>
<div class="line"><a name="l01050"></a><span class="lineno"> 1050</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (newKids.<a class="code" href="classCVC3_1_1ExprMap.html#a62589c597d245f3245df6d6a5fe6f4f1">size</a>() == 1) res = newKids.<a class="code" href="classCVC3_1_1ExprMap.html#a3db85401f8535daf4054fde531cd46b1">begin</a>()->first; <span class="comment">// The only child</span></div>
<div class="line"><a name="l01051"></a><span class="lineno"> 1051</span>  <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l01052"></a><span class="lineno"> 1052</span>  vector<Expr> v;</div>
<div class="line"><a name="l01053"></a><span class="lineno"> 1053</span>  <span class="keywordflow">for</span>(<a class="code" href="classCVC3_1_1ExprMap.html">ExprMap<bool>::iterator</a> i=newKids.<a class="code" href="classCVC3_1_1ExprMap.html#a3db85401f8535daf4054fde531cd46b1">begin</a>(), iend=newKids.<a class="code" href="classCVC3_1_1ExprMap.html#a283ae6c44308cbdda0d82da5a16e52c8">end</a>();</div>
<div class="line"><a name="l01054"></a><span class="lineno"> 1054</span>  i!=iend; ++i)</div>
<div class="line"><a name="l01055"></a><span class="lineno"> 1055</span>  v.push_back(i->first);</div>
<div class="line"><a name="l01056"></a><span class="lineno"> 1056</span>  res = <a class="code" href="namespaceCVC3.html#a30f30b6e20c174f21ae63acea8618294">orExpr</a>(v);</div>
<div class="line"><a name="l01057"></a><span class="lineno"> 1057</span>  }</div>
<div class="line"><a name="l01058"></a><span class="lineno"> 1058</span>  <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {</div>
<div class="line"><a name="l01059"></a><span class="lineno"> 1059</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"rewrite_or"</span>, e, res);</div>
<div class="line"><a name="l01060"></a><span class="lineno"> 1060</span>  }</div>
<div class="line"><a name="l01061"></a><span class="lineno"> 1061</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, res, <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l01062"></a><span class="lineno"> 1062</span> }</div>
<div class="line"><a name="l01063"></a><span class="lineno"> 1063</span> </div>
<div class="line"><a name="l01064"></a><span class="lineno"> 1064</span> </div>
<div class="line"><a name="l01065"></a><span class="lineno"> 1065</span> <span class="comment">// ==> NOT TRUE IFF FALSE</span></div>
<div class="line"><a name="l01066"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a49ce394a818d2ab83b2f97d44cd66f1b"> 1066</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a49ce394a818d2ab83b2f97d44cd66f1b" title="==> NOT TRUE IFF FALSE">CommonTheoremProducer::rewriteNotTrue</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e) {</div>
<div class="line"><a name="l01067"></a><span class="lineno"> 1067</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l01068"></a><span class="lineno"> 1068</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)</div>
<div class="line"><a name="l01069"></a><span class="lineno"> 1069</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#ga1a898858ccadce833df5a294c7740f11">isNot</a>() && e[0].<a class="code" href="group__ExprPkg.html#gadf8596df73fa69ff8e6a22b9321f5c34">isTrue</a>(),</div>
<div class="line"><a name="l01070"></a><span class="lineno"> 1070</span>  <span class="stringliteral">"rewriteNotTrue precondition violated"</span>);</div>
<div class="line"><a name="l01071"></a><span class="lineno"> 1071</span>  <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>())</div>
<div class="line"><a name="l01072"></a><span class="lineno"> 1072</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"rewrite_not_true"</span>);</div>
<div class="line"><a name="l01073"></a><span class="lineno"> 1073</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b706238281ad141a57363a6890f14a5">d_em</a>-><a class="code" href="group__EM__Priv.html#gaae9db4c93c67cbf8bbf5d1e60e94f1ae" title="FALSE Expr.">falseExpr</a>(), <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l01074"></a><span class="lineno"> 1074</span> }</div>
<div class="line"><a name="l01075"></a><span class="lineno"> 1075</span> </div>
<div class="line"><a name="l01076"></a><span class="lineno"> 1076</span> </div>
<div class="line"><a name="l01077"></a><span class="lineno"> 1077</span> <span class="comment">// ==> NOT FALSE IFF TRUE</span></div>
<div class="line"><a name="l01078"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#aace9193e3ff294ef6065178a55610e88"> 1078</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#aace9193e3ff294ef6065178a55610e88" title="==> NOT FALSE IFF TRUE">CommonTheoremProducer::rewriteNotFalse</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e) {</div>
<div class="line"><a name="l01079"></a><span class="lineno"> 1079</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l01080"></a><span class="lineno"> 1080</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)</div>
<div class="line"><a name="l01081"></a><span class="lineno"> 1081</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#ga1a898858ccadce833df5a294c7740f11">isNot</a>() && e[0].<a class="code" href="group__ExprPkg.html#ga6173f64b22cba76472cd0c814bbf6dae">isFalse</a>(),</div>
<div class="line"><a name="l01082"></a><span class="lineno"> 1082</span>  <span class="stringliteral">"rewriteNotFalse precondition violated"</span>);</div>
<div class="line"><a name="l01083"></a><span class="lineno"> 1083</span>  <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>())</div>
<div class="line"><a name="l01084"></a><span class="lineno"> 1084</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"rewrite_not_false"</span>);</div>
<div class="line"><a name="l01085"></a><span class="lineno"> 1085</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b706238281ad141a57363a6890f14a5">d_em</a>-><a class="code" href="group__EM__Priv.html#ga4471fca49c2acbb7b4cf71e72bc55d6a" title="TRUE Expr.">trueExpr</a>(), <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l01086"></a><span class="lineno"> 1086</span> }</div>
<div class="line"><a name="l01087"></a><span class="lineno"> 1087</span> </div>
<div class="line"><a name="l01088"></a><span class="lineno"> 1088</span> </div>
<div class="line"><a name="l01089"></a><span class="lineno"> 1089</span> <span class="comment">// ==> (NOT NOT e) IFF e, takes !!e</span></div>
<div class="line"><a name="l01090"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a84b83e300ddf9e67e427b2815ecff1e7"> 1090</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a84b83e300ddf9e67e427b2815ecff1e7" title="==> NOT NOT e IFF e, takes !!e">CommonTheoremProducer::rewriteNotNot</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e) {</div>
<div class="line"><a name="l01091"></a><span class="lineno"> 1091</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l01092"></a><span class="lineno"> 1092</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)</div>
<div class="line"><a name="l01093"></a><span class="lineno"> 1093</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#ga1a898858ccadce833df5a294c7740f11">isNot</a>() && e[0].<a class="code" href="group__ExprPkg.html#ga1a898858ccadce833df5a294c7740f11">isNot</a>(),</div>
<div class="line"><a name="l01094"></a><span class="lineno"> 1094</span>  <span class="stringliteral">"rewriteNotNot precondition violated"</span>);</div>
<div class="line"><a name="l01095"></a><span class="lineno"> 1095</span>  <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>())</div>
<div class="line"><a name="l01096"></a><span class="lineno"> 1096</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"rewrite_not_not"</span>, e[0][0]);</div>
<div class="line"><a name="l01097"></a><span class="lineno"> 1097</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, e[0][0], <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l01098"></a><span class="lineno"> 1098</span> }</div>
<div class="line"><a name="l01099"></a><span class="lineno"> 1099</span> </div>
<div class="line"><a name="l01100"></a><span class="lineno"> 1100</span> <span class="comment"></span></div>
<div class="line"><a name="l01101"></a><span class="lineno"> 1101</span> <span class="comment">//! ==> NOT FORALL (vars): e IFF EXISTS (vars) NOT e</span></div>
<div class="line"><a name="l01102"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a6241bfc091691a667ed41a9d36d4cab6"> 1102</a></span> <span class="comment"></span><a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a6241bfc091691a667ed41a9d36d4cab6" title="==> NOT FORALL (vars): e IFF EXISTS (vars) NOT e">CommonTheoremProducer::rewriteNotForall</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e) {</div>
<div class="line"><a name="l01103"></a><span class="lineno"> 1103</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {</div>
<div class="line"><a name="l01104"></a><span class="lineno"> 1104</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#ga1a898858ccadce833df5a294c7740f11">isNot</a>() && e[0].<a class="code" href="group__ExprPkg.html#gaad6095e1d8b1551a006602d9421fb988">isForall</a>(),</div>
<div class="line"><a name="l01105"></a><span class="lineno"> 1105</span>  <span class="stringliteral">"rewriteNotForall: expr must be NOT FORALL:\n"</span></div>
<div class="line"><a name="l01106"></a><span class="lineno"> 1106</span>  +e.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());</div>
<div class="line"><a name="l01107"></a><span class="lineno"> 1107</span>  }</div>
<div class="line"><a name="l01108"></a><span class="lineno"> 1108</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l01109"></a><span class="lineno"> 1109</span>  <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>())</div>
<div class="line"><a name="l01110"></a><span class="lineno"> 1110</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"rewrite_not_forall"</span>, e);</div>
<div class="line"><a name="l01111"></a><span class="lineno"> 1111</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b706238281ad141a57363a6890f14a5">d_em</a>-><a class="code" href="group__EM__Priv.html#ga0d2ff7603a249b30b2df4e549607ad6e">newClosureExpr</a>(<a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba3197625a1bb2264943f5a95f236d9973">EXISTS</a>, e[0].<a class="code" href="group__ExprPkg.html#gaad22e223d0e273780557aca9d87620cd" title="Get bound variables from a closure Expr.">getVars</a>(),</div>
<div class="line"><a name="l01112"></a><span class="lineno"> 1112</span>  !e[0].<a class="code" href="group__ExprPkg.html#ga9060193194020fee3dac69ed1876a940" title="Get the body of the closure Expr.">getBody</a>()), <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l01113"></a><span class="lineno"> 1113</span> }</div>
<div class="line"><a name="l01114"></a><span class="lineno"> 1114</span> </div>
<div class="line"><a name="l01115"></a><span class="lineno"> 1115</span> <span class="comment"></span></div>
<div class="line"><a name="l01116"></a><span class="lineno"> 1116</span> <span class="comment">//! ==> NOT EXISTS (vars): e IFF FORALL (vars) NOT e</span></div>
<div class="line"><a name="l01117"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a2535d1565f3f7b830063ad9ae3e1c4e7"> 1117</a></span> <span class="comment"></span><a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a2535d1565f3f7b830063ad9ae3e1c4e7" title="==> NOT EXISTS (vars): e IFF FORALL (vars) NOT e">CommonTheoremProducer::rewriteNotExists</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e) {</div>
<div class="line"><a name="l01118"></a><span class="lineno"> 1118</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {</div>
<div class="line"><a name="l01119"></a><span class="lineno"> 1119</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#ga1a898858ccadce833df5a294c7740f11">isNot</a>() && e[0].<a class="code" href="group__ExprPkg.html#ga1c922163af59ed6bc101728d65e04d16">isExists</a>(),</div>
<div class="line"><a name="l01120"></a><span class="lineno"> 1120</span>  <span class="stringliteral">"rewriteNotExists: expr must be NOT FORALL:\n"</span></div>
<div class="line"><a name="l01121"></a><span class="lineno"> 1121</span>  +e.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());</div>
<div class="line"><a name="l01122"></a><span class="lineno"> 1122</span>  }</div>
<div class="line"><a name="l01123"></a><span class="lineno"> 1123</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l01124"></a><span class="lineno"> 1124</span>  <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>())</div>
<div class="line"><a name="l01125"></a><span class="lineno"> 1125</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"rewrite_not_exists"</span>, e);</div>
<div class="line"><a name="l01126"></a><span class="lineno"> 1126</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b706238281ad141a57363a6890f14a5">d_em</a>-><a class="code" href="group__EM__Priv.html#ga0d2ff7603a249b30b2df4e549607ad6e">newClosureExpr</a>(<a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba7b7b6f6e2b88589bd4656a14bcb7eb94">FORALL</a>, e[0].<a class="code" href="group__ExprPkg.html#gaad22e223d0e273780557aca9d87620cd" title="Get bound variables from a closure Expr.">getVars</a>(),</div>
<div class="line"><a name="l01127"></a><span class="lineno"> 1127</span>  !e[0].<a class="code" href="group__ExprPkg.html#ga9060193194020fee3dac69ed1876a940" title="Get the body of the closure Expr.">getBody</a>()), <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l01128"></a><span class="lineno"> 1128</span> }</div>
<div class="line"><a name="l01129"></a><span class="lineno"> 1129</span> </div>
<div class="line"><a name="l01130"></a><span class="lineno"> 1130</span> </div>
<div class="line"><a name="l01131"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#adcd56f1052668c269d59b5001a01191f"> 1131</a></span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#adcd56f1052668c269d59b5001a01191f">CommonTheoremProducer::skolemize</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e)</div>
<div class="line"><a name="l01132"></a><span class="lineno"> 1132</span> {</div>
<div class="line"><a name="l01133"></a><span class="lineno"> 1133</span>  vector<Expr> vars;</div>
<div class="line"><a name="l01134"></a><span class="lineno"> 1134</span>  <span class="keyword">const</span> vector<Expr>& boundVars = e.<a class="code" href="group__ExprPkg.html#gaad22e223d0e273780557aca9d87620cd" title="Get bound variables from a closure Expr.">getVars</a>(); </div>
<div class="line"><a name="l01135"></a><span class="lineno"> 1135</span>  <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i=0; i<boundVars.size(); i++) {</div>
<div class="line"><a name="l01136"></a><span class="lineno"> 1136</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> skolV(e.<a class="code" href="group__ExprPkg.html#ga1311a04a68f4cfae68a82826a3a0c5ad" title="Create a Skolem constant for the i'th variable of an existential (*this)">skolemExpr</a>(i));</div>
<div class="line"><a name="l01137"></a><span class="lineno"> 1137</span>  <a class="code" href="classCVC3_1_1Type.html" title="MS C++ specific settings.">Type</a> tp(e.<a class="code" href="group__ExprPkg.html#gaad22e223d0e273780557aca9d87620cd" title="Get bound variables from a closure Expr.">getVars</a>()[i].getType());</div>
<div class="line"><a name="l01138"></a><span class="lineno"> 1138</span>  skolV.setType(tp);</div>
<div class="line"><a name="l01139"></a><span class="lineno"> 1139</span>  vars.push_back(skolV);</div>
<div class="line"><a name="l01140"></a><span class="lineno"> 1140</span>  }</div>
<div class="line"><a name="l01141"></a><span class="lineno"> 1141</span>  <span class="keywordflow">return</span>(e.<a class="code" href="group__ExprPkg.html#ga9060193194020fee3dac69ed1876a940" title="Get the body of the closure Expr.">getBody</a>().<a class="code" href="group__ExprPkg.html#ga95e18015860195a80b317bf756055786">substExpr</a>(boundVars, vars));</div>
<div class="line"><a name="l01142"></a><span class="lineno"> 1142</span> }</div>
<div class="line"><a name="l01143"></a><span class="lineno"> 1143</span> </div>
<div class="line"><a name="l01144"></a><span class="lineno"> 1144</span> </div>
<div class="line"><a name="l01145"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a3bfb1ce883967f3822858b73156f99e9"> 1145</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a3bfb1ce883967f3822858b73156f99e9">CommonTheoremProducer::skolemizeRewrite</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e)</div>
<div class="line"><a name="l01146"></a><span class="lineno"> 1146</span> {</div>
<div class="line"><a name="l01147"></a><span class="lineno"> 1147</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l01148"></a><span class="lineno"> 1148</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {</div>
<div class="line"><a name="l01149"></a><span class="lineno"> 1149</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#ga1c922163af59ed6bc101728d65e04d16">isExists</a>(), <span class="stringliteral">"skolemize rewrite called on non-existential: "</span></div>
<div class="line"><a name="l01150"></a><span class="lineno"> 1150</span>  + e.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());</div>
<div class="line"><a name="l01151"></a><span class="lineno"> 1151</span>  }</div>
<div class="line"><a name="l01152"></a><span class="lineno"> 1152</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> skol = <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#adcd56f1052668c269d59b5001a01191f">skolemize</a>(e);</div>
<div class="line"><a name="l01153"></a><span class="lineno"> 1153</span>  <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {</div>
<div class="line"><a name="l01154"></a><span class="lineno"> 1154</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> rw(e.<a class="code" href="group__ExprPkg.html#gaae017ca8e68af655ba285c985dd9fba5">iffExpr</a>(skol));</div>
<div class="line"><a name="l01155"></a><span class="lineno"> 1155</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#af4bdd16428b49f295b3d21208dffc0cd" title="Create a new proof label (bound variable) for an assumption (formula)">newLabel</a>(rw);</div>
<div class="line"><a name="l01156"></a><span class="lineno"> 1156</span>  }</div>
<div class="line"><a name="l01157"></a><span class="lineno"> 1157</span>  <a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba7fa27e82c6c4f69434225ed81e5d151e">TRACE</a>(<span class="stringliteral">"quantlevel"</span>, <span class="stringliteral">"skolemize "</span>, skol, <span class="stringliteral">""</span>);</div>
<div class="line"><a name="l01158"></a><span class="lineno"> 1158</span>  <a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba7fa27e82c6c4f69434225ed81e5d151e">TRACE</a>(<span class="stringliteral">"quantlevel sko"</span>, <span class="stringliteral">"skolemize "</span>, skol, <span class="stringliteral">""</span>);</div>
<div class="line"><a name="l01159"></a><span class="lineno"> 1159</span>  <a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba7fa27e82c6c4f69434225ed81e5d151e">TRACE</a>(<span class="stringliteral">"quantlevel sko"</span>, <span class="stringliteral">"skolemize from org "</span>, e, <span class="stringliteral">""</span>);</div>
<div class="line"><a name="l01160"></a><span class="lineno"> 1160</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, skol, <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l01161"></a><span class="lineno"> 1161</span> </div>
<div class="line"><a name="l01162"></a><span class="lineno"> 1162</span> }</div>
<div class="line"><a name="l01163"></a><span class="lineno"> 1163</span> </div>
<div class="line"><a name="l01164"></a><span class="lineno"> 1164</span> </div>
<div class="line"><a name="l01165"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a5b97504309d324b509e18976b93a3c78"> 1165</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a5b97504309d324b509e18976b93a3c78" title="Special version of skolemizeRewrite for "EXISTS x. t = x".">CommonTheoremProducer::skolemizeRewriteVar</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e)</div>
<div class="line"><a name="l01166"></a><span class="lineno"> 1166</span> {</div>
<div class="line"><a name="l01167"></a><span class="lineno"> 1167</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l01168"></a><span class="lineno"> 1168</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {</div>
<div class="line"><a name="l01169"></a><span class="lineno"> 1169</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#ga1c922163af59ed6bc101728d65e04d16">isExists</a>(), <span class="stringliteral">"skolemizeRewriteVar("</span></div>
<div class="line"><a name="l01170"></a><span class="lineno"> 1170</span>  +e.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>()+<span class="stringliteral">")"</span>);</div>
<div class="line"><a name="l01171"></a><span class="lineno"> 1171</span>  }</div>
<div class="line"><a name="l01172"></a><span class="lineno"> 1172</span> </div>
<div class="line"><a name="l01173"></a><span class="lineno"> 1173</span>  <span class="keyword">const</span> vector<Expr>& boundVars = e.<a class="code" href="group__ExprPkg.html#gaad22e223d0e273780557aca9d87620cd" title="Get bound variables from a closure Expr.">getVars</a>();</div>
<div class="line"><a name="l01174"></a><span class="lineno"> 1174</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& body = e.<a class="code" href="group__ExprPkg.html#ga9060193194020fee3dac69ed1876a940" title="Get the body of the closure Expr.">getBody</a>();</div>
<div class="line"><a name="l01175"></a><span class="lineno"> 1175</span> </div>
<div class="line"><a name="l01176"></a><span class="lineno"> 1176</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {</div>
<div class="line"><a name="l01177"></a><span class="lineno"> 1177</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(boundVars.size()==1, <span class="stringliteral">"skolemizeRewriteVar("</span></div>
<div class="line"><a name="l01178"></a><span class="lineno"> 1178</span>  +e.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>()+<span class="stringliteral">")"</span>);</div>
<div class="line"><a name="l01179"></a><span class="lineno"> 1179</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(body.<a class="code" href="group__ExprPkg.html#gac4af2026c180da0f18d66ac616f61f3a">isEq</a>() || body.<a class="code" href="group__ExprPkg.html#gabe385fb97505cccb75702378511c5375">isIff</a>(), <span class="stringliteral">"skolemizeRewriteVar("</span></div>
<div class="line"><a name="l01180"></a><span class="lineno"> 1180</span>  +e.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>()+<span class="stringliteral">")"</span>);</div>
<div class="line"><a name="l01181"></a><span class="lineno"> 1181</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& v = boundVars[0];</div>
<div class="line"><a name="l01182"></a><span class="lineno"> 1182</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(body[1] == v, <span class="stringliteral">"skolemizeRewriteVar("</span></div>
<div class="line"><a name="l01183"></a><span class="lineno"> 1183</span>  +e.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>()+<span class="stringliteral">")"</span>);</div>
<div class="line"><a name="l01184"></a><span class="lineno"> 1184</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(!(v.subExprOf(body[0])), <span class="stringliteral">"skolemizeRewriteVar("</span></div>
<div class="line"><a name="l01185"></a><span class="lineno"> 1185</span>  +e.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>()+<span class="stringliteral">")"</span>);</div>
<div class="line"><a name="l01186"></a><span class="lineno"> 1186</span>  }</div>
<div class="line"><a name="l01187"></a><span class="lineno"> 1187</span>  <span class="comment">// Create the Skolem constant appropriately</span></div>
<div class="line"><a name="l01188"></a><span class="lineno"> 1188</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> skolV(e.<a class="code" href="group__ExprPkg.html#ga1311a04a68f4cfae68a82826a3a0c5ad" title="Create a Skolem constant for the i'th variable of an existential (*this)">skolemExpr</a>(0));</div>
<div class="line"><a name="l01189"></a><span class="lineno"> 1189</span>  <a class="code" href="classCVC3_1_1Type.html" title="MS C++ specific settings.">Type</a> tp(e.<a class="code" href="group__ExprPkg.html#gaad22e223d0e273780557aca9d87620cd" title="Get bound variables from a closure Expr.">getVars</a>()[0].getType());</div>
<div class="line"><a name="l01190"></a><span class="lineno"> 1190</span>  skolV.setType(tp);</div>
<div class="line"><a name="l01191"></a><span class="lineno"> 1191</span>  <span class="comment">// Skolemized expression</span></div>
<div class="line"><a name="l01192"></a><span class="lineno"> 1192</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> skol = <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(body.<a class="code" href="group__ExprPkg.html#gace479f04faca399219496195152f7806" title="Get operator from expression.">getOp</a>(), body[0], skolV);</div>
<div class="line"><a name="l01193"></a><span class="lineno"> 1193</span> </div>
<div class="line"><a name="l01194"></a><span class="lineno"> 1194</span>  <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {</div>
<div class="line"><a name="l01195"></a><span class="lineno"> 1195</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> rw(e.<a class="code" href="group__ExprPkg.html#gaae017ca8e68af655ba285c985dd9fba5">iffExpr</a>(skol));</div>
<div class="line"><a name="l01196"></a><span class="lineno"> 1196</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#af4bdd16428b49f295b3d21208dffc0cd" title="Create a new proof label (bound variable) for an assumption (formula)">newLabel</a>(rw);</div>
<div class="line"><a name="l01197"></a><span class="lineno"> 1197</span>  }</div>
<div class="line"><a name="l01198"></a><span class="lineno"> 1198</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, skol, <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l01199"></a><span class="lineno"> 1199</span> }</div>
<div class="line"><a name="l01200"></a><span class="lineno"> 1200</span> </div>
<div class="line"><a name="l01201"></a><span class="lineno"> 1201</span> </div>
<div class="line"><a name="l01202"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ac003e84b85d4f51746628fd0f738b7e3"> 1202</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ac003e84b85d4f51746628fd0f738b7e3" title="|- EXISTS x. e = x">CommonTheoremProducer::varIntroRule</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& phi) {</div>
<div class="line"><a name="l01203"></a><span class="lineno"> 1203</span>  <span class="comment">// This rule is sound for all expressions phi</span></div>
<div class="line"><a name="l01204"></a><span class="lineno"> 1204</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l01205"></a><span class="lineno"> 1205</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> boundVar = <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b706238281ad141a57363a6890f14a5">d_em</a>-><a class="code" href="group__EM__Priv.html#ga22dbb23f716cc73378d4c69d564e38dd">newBoundVarExpr</a>(phi.<a class="code" href="group__ExprPkg.html#ga42929221eb172250697b72c28af6de07" title="Get the type. Recursively compute if necessary.">getType</a>());</div>
<div class="line"><a name="l01206"></a><span class="lineno"> 1206</span> </div>
<div class="line"><a name="l01207"></a><span class="lineno"> 1207</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> body; </div>
<div class="line"><a name="l01208"></a><span class="lineno"> 1208</span>  <span class="keywordflow">if</span>(phi.<a class="code" href="group__ExprPkg.html#ga42929221eb172250697b72c28af6de07" title="Get the type. Recursively compute if necessary.">getType</a>().<a class="code" href="classCVC3_1_1Type.html#a38bba404056eadf3c283a67ab2347e02">isBool</a>())</div>
<div class="line"><a name="l01209"></a><span class="lineno"> 1209</span>  body = phi.<a class="code" href="group__ExprPkg.html#gaae017ca8e68af655ba285c985dd9fba5">iffExpr</a>(boundVar);</div>
<div class="line"><a name="l01210"></a><span class="lineno"> 1210</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l01211"></a><span class="lineno"> 1211</span>  body = phi.<a class="code" href="group__ExprPkg.html#gacb48495ca445c895f95d0c3c1ae2070b">eqExpr</a>(boundVar);</div>
<div class="line"><a name="l01212"></a><span class="lineno"> 1212</span> </div>
<div class="line"><a name="l01213"></a><span class="lineno"> 1213</span>  std::vector<Expr> v; </div>
<div class="line"><a name="l01214"></a><span class="lineno"> 1214</span>  v.push_back(boundVar);</div>
<div class="line"><a name="l01215"></a><span class="lineno"> 1215</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> result = <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b706238281ad141a57363a6890f14a5">d_em</a>-><a class="code" href="group__EM__Priv.html#ga0d2ff7603a249b30b2df4e549607ad6e">newClosureExpr</a>(<a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba3197625a1bb2264943f5a95f236d9973">EXISTS</a>, v, body);</div>
<div class="line"><a name="l01216"></a><span class="lineno"> 1216</span>  </div>
<div class="line"><a name="l01217"></a><span class="lineno"> 1217</span>  <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) </div>
<div class="line"><a name="l01218"></a><span class="lineno"> 1218</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"var_intro"</span>, phi, boundVar);</div>
<div class="line"><a name="l01219"></a><span class="lineno"> 1219</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#ab3afa2471d244b129865548afe06ca89" title="Create a new theorem. See also newRWTheorem() and newReflTheorem()">newTheorem</a>(result, <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l01220"></a><span class="lineno"> 1220</span> }</div>
<div class="line"><a name="l01221"></a><span class="lineno"> 1221</span> </div>
<div class="line"><a name="l01222"></a><span class="lineno"> 1222</span> </div>
<div class="line"><a name="l01223"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a9c3d8d07344147c33394ab68ca490c04"> 1223</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#adcd56f1052668c269d59b5001a01191f">CommonTheoremProducer::skolemize</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& thm) { </div>
<div class="line"><a name="l01224"></a><span class="lineno"> 1224</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e = thm.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>();</div>
<div class="line"><a name="l01225"></a><span class="lineno"> 1225</span>  <span class="keywordflow">if</span>(e.<a class="code" href="group__ExprPkg.html#ga1c922163af59ed6bc101728d65e04d16">isExists</a>()) {</div>
<div class="line"><a name="l01226"></a><span class="lineno"> 1226</span>  <a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba7fa27e82c6c4f69434225ed81e5d151e">TRACE</a>(<span class="stringliteral">"skolem"</span>, <span class="stringliteral">"Skolemizing existential:"</span>, <span class="stringliteral">""</span>, <span class="stringliteral">"{"</span>);</div>
<div class="line"><a name="l01227"></a><span class="lineno"> 1227</span>  <a class="code" href="classCVC3_1_1CDMap.html">CDMap<Expr, Theorem>::iterator</a> i=<a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ab4d87623f3ff65970b5c015b39db5987">d_skolemized_thms</a>.<a class="code" href="classCVC3_1_1CDMap.html#a1cadecbd2d6fa614a2f2e9419aa43f33">find</a>(e),</div>
<div class="line"><a name="l01228"></a><span class="lineno"> 1228</span>  iend=<a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ab4d87623f3ff65970b5c015b39db5987">d_skolemized_thms</a>.<a class="code" href="classCVC3_1_1CDMap.html#a2a26c7cc4db12cb17d273db5cfa5a890">end</a>();</div>
<div class="line"><a name="l01229"></a><span class="lineno"> 1229</span>  <span class="keywordflow">if</span>(i!=iend) {</div>
<div class="line"><a name="l01230"></a><span class="lineno"> 1230</span>  <a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba7fa27e82c6c4f69434225ed81e5d151e">TRACE</a>(<span class="stringliteral">"skolem"</span>, <span class="stringliteral">"Skolemized theorem found in map: "</span>, (*i).second, <span class="stringliteral">"}"</span>);</div>
<div class="line"><a name="l01231"></a><span class="lineno"> 1231</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a98f862538ac375b133079c336c539b22">iffMP</a>(thm, (*i).second);</div>
<div class="line"><a name="l01232"></a><span class="lineno"> 1232</span>  }</div>
<div class="line"><a name="l01233"></a><span class="lineno"> 1233</span>  <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> skol = <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a3bfb1ce883967f3822858b73156f99e9">skolemizeRewrite</a>(e);</div>
<div class="line"><a name="l01234"></a><span class="lineno"> 1234</span>  <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i=0; i<e.<a class="code" href="group__ExprPkg.html#gaad22e223d0e273780557aca9d87620cd" title="Get bound variables from a closure Expr.">getVars</a>().size(); i++) {</div>
<div class="line"><a name="l01235"></a><span class="lineno"> 1235</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> skolV(e.<a class="code" href="group__ExprPkg.html#ga1311a04a68f4cfae68a82826a3a0c5ad" title="Create a Skolem constant for the i'th variable of an existential (*this)">skolemExpr</a>(i));</div>
<div class="line"><a name="l01236"></a><span class="lineno"> 1236</span>  <a class="code" href="classCVC3_1_1Type.html" title="MS C++ specific settings.">Type</a> tp(e.<a class="code" href="group__ExprPkg.html#gaad22e223d0e273780557aca9d87620cd" title="Get bound variables from a closure Expr.">getVars</a>()[i].getType());</div>
<div class="line"><a name="l01237"></a><span class="lineno"> 1237</span>  skolV.setType(tp);</div>
<div class="line"><a name="l01238"></a><span class="lineno"> 1238</span>  }</div>
<div class="line"><a name="l01239"></a><span class="lineno"> 1239</span>  <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a3ead097d78257116405995705a98a722">d_skolem_axioms</a>.push_back(skol);</div>
<div class="line"><a name="l01240"></a><span class="lineno"> 1240</span>  <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ab4d87623f3ff65970b5c015b39db5987">d_skolemized_thms</a>.<a class="code" href="classCVC3_1_1CDMap.html#a664a15046de83b0af599f488cb420022">insert</a>(e, skol, 0);<span class="comment">//d_coreSatAPI->getBottomScope());</span></div>
<div class="line"><a name="l01241"></a><span class="lineno"> 1241</span>  skol = <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a98f862538ac375b133079c336c539b22">iffMP</a>(thm, skol); </div>
<div class="line"><a name="l01242"></a><span class="lineno"> 1242</span> </div>
<div class="line"><a name="l01243"></a><span class="lineno"> 1243</span>  <a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba7fa27e82c6c4f69434225ed81e5d151e">TRACE</a>(<span class="stringliteral">"skolem"</span>, <span class="stringliteral">"skolemized new theorem: "</span>, skol, <span class="stringliteral">"}"</span>);</div>
<div class="line"><a name="l01244"></a><span class="lineno"> 1244</span>  <span class="keywordflow">return</span> skol;</div>
<div class="line"><a name="l01245"></a><span class="lineno"> 1245</span>  }</div>
<div class="line"><a name="l01246"></a><span class="lineno"> 1246</span>  <span class="keywordflow">return</span> thm;</div>
<div class="line"><a name="l01247"></a><span class="lineno"> 1247</span> }</div>
<div class="line"><a name="l01248"></a><span class="lineno"> 1248</span> </div>
<div class="line"><a name="l01249"></a><span class="lineno"> 1249</span> </div>
<div class="line"><a name="l01250"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a84f7da63e9d820ad781efa7e963733aa"> 1250</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a84f7da63e9d820ad781efa7e963733aa" title="Retrun a theorem "|- e = v" for a new Skolem constant v.">CommonTheoremProducer::varIntroSkolem</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e) {</div>
<div class="line"><a name="l01251"></a><span class="lineno"> 1251</span>  <span class="comment">// First, look up the cache</span></div>
<div class="line"><a name="l01252"></a><span class="lineno"> 1252</span>  <a class="code" href="classCVC3_1_1CDMap.html">CDMap<Expr, Theorem>::iterator</a> i=<a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a628cb0e578632642b6a2c8d48ddeb890" title="Mapping of e to "|- e = v" for fresh Skolem vars v.">d_skolemVars</a>.<a class="code" href="classCVC3_1_1CDMap.html#a1cadecbd2d6fa614a2f2e9419aa43f33">find</a>(e),</div>
<div class="line"><a name="l01253"></a><span class="lineno"> 1253</span>  iend=<a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a628cb0e578632642b6a2c8d48ddeb890" title="Mapping of e to "|- e = v" for fresh Skolem vars v.">d_skolemVars</a>.<a class="code" href="classCVC3_1_1CDMap.html#a2a26c7cc4db12cb17d273db5cfa5a890">end</a>();</div>
<div class="line"><a name="l01254"></a><span class="lineno"> 1254</span>  <span class="keywordflow">if</span>(i!=iend) <span class="keywordflow">return</span> (*i).second;</div>
<div class="line"><a name="l01255"></a><span class="lineno"> 1255</span>  <span class="comment">// Not in cache; create a new one</span></div>
<div class="line"><a name="l01256"></a><span class="lineno"> 1256</span>  <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> thm = <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ac003e84b85d4f51746628fd0f738b7e3" title="|- EXISTS x. e = x">varIntroRule</a>(e);</div>
<div class="line"><a name="l01257"></a><span class="lineno"> 1257</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e2 = thm.getExpr();</div>
<div class="line"><a name="l01258"></a><span class="lineno"> 1258</span>  <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(e2.<a class="code" href="group__ExprPkg.html#ga1c922163af59ed6bc101728d65e04d16">isExists</a>() && e2.<a class="code" href="group__ExprPkg.html#gaad22e223d0e273780557aca9d87620cd" title="Get bound variables from a closure Expr.">getVars</a>().size()==1, <span class="stringliteral">"varIntroSkolem: e2 = "</span></div>
<div class="line"><a name="l01259"></a><span class="lineno"> 1259</span>  +e2.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());</div>
<div class="line"><a name="l01260"></a><span class="lineno"> 1260</span>  <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> skolThm;</div>
<div class="line"><a name="l01261"></a><span class="lineno"> 1261</span>  <span class="comment">// Check if we have a corresponding skolemized version already</span></div>
<div class="line"><a name="l01262"></a><span class="lineno"> 1262</span>  <a class="code" href="classCVC3_1_1CDMap.html">CDMap<Expr, Theorem>::iterator</a> j=<a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ab4d87623f3ff65970b5c015b39db5987">d_skolemized_thms</a>.<a class="code" href="classCVC3_1_1CDMap.html#a1cadecbd2d6fa614a2f2e9419aa43f33">find</a>(e2),</div>
<div class="line"><a name="l01263"></a><span class="lineno"> 1263</span>  jend=<a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ab4d87623f3ff65970b5c015b39db5987">d_skolemized_thms</a>.<a class="code" href="classCVC3_1_1CDMap.html#a2a26c7cc4db12cb17d273db5cfa5a890">end</a>();</div>
<div class="line"><a name="l01264"></a><span class="lineno"> 1264</span>  <span class="keywordflow">if</span>(j!=jend) {</div>
<div class="line"><a name="l01265"></a><span class="lineno"> 1265</span>  skolThm = (*i).second;</div>
<div class="line"><a name="l01266"></a><span class="lineno"> 1266</span>  } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l01267"></a><span class="lineno"> 1267</span>  skolThm = <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a5b97504309d324b509e18976b93a3c78" title="Special version of skolemizeRewrite for "EXISTS x. t = x".">skolemizeRewriteVar</a>(e2);</div>
<div class="line"><a name="l01268"></a><span class="lineno"> 1268</span>  <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a3ead097d78257116405995705a98a722">d_skolem_axioms</a>.push_back(skolThm);</div>
<div class="line"><a name="l01269"></a><span class="lineno"> 1269</span>  <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ab4d87623f3ff65970b5c015b39db5987">d_skolemized_thms</a>.<a class="code" href="classCVC3_1_1CDMap.html#a664a15046de83b0af599f488cb420022">insert</a>(e2, skolThm, 0); <span class="comment">//d_coreSatAPI->getBottomScope());</span></div>
<div class="line"><a name="l01270"></a><span class="lineno"> 1270</span>  }</div>
<div class="line"><a name="l01271"></a><span class="lineno"> 1271</span>  thm = <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a98f862538ac375b133079c336c539b22">iffMP</a>(thm, skolThm);</div>
<div class="line"><a name="l01272"></a><span class="lineno"> 1272</span>  <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a628cb0e578632642b6a2c8d48ddeb890" title="Mapping of e to "|- e = v" for fresh Skolem vars v.">d_skolemVars</a>.<a class="code" href="classCVC3_1_1CDMap.html#a664a15046de83b0af599f488cb420022">insert</a>(e, thm, 0); <span class="comment">//d_coreSatAPI->getBottomScope());</span></div>
<div class="line"><a name="l01273"></a><span class="lineno"> 1273</span>  <span class="keywordflow">return</span> thm;</div>
<div class="line"><a name="l01274"></a><span class="lineno"> 1274</span> }</div>
<div class="line"><a name="l01275"></a><span class="lineno"> 1275</span> </div>
<div class="line"><a name="l01276"></a><span class="lineno"> 1276</span> </div>
<div class="line"><a name="l01277"></a><span class="lineno"> 1277</span> <span class="comment">// Derived Rules</span></div>
<div class="line"><a name="l01278"></a><span class="lineno"> 1278</span> </div>
<div class="line"><a name="l01279"></a><span class="lineno"> 1279</span> </div>
<div class="line"><a name="l01280"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a38a1b30499d07384066e9afca89f37c0"> 1280</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a38a1b30499d07384066e9afca89f37c0" title="==> TRUE">CommonTheoremProducer::trueTheorem</a>()</div>
<div class="line"><a name="l01281"></a><span class="lineno"> 1281</span> {</div>
<div class="line"><a name="l01282"></a><span class="lineno"> 1282</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a40da8d343ef923020c472eaace6e8122">iffTrueElim</a>(<a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a306058f7ced3d7220b2d1a40892faae7">reflexivityRule</a>(<a class="code" href="classCVC3_1_1TheoremProducer.html#a1b706238281ad141a57363a6890f14a5">d_em</a>-><a class="code" href="group__EM__Priv.html#ga4471fca49c2acbb7b4cf71e72bc55d6a" title="TRUE Expr.">trueExpr</a>()));</div>
<div class="line"><a name="l01283"></a><span class="lineno"> 1283</span> }</div>
<div class="line"><a name="l01284"></a><span class="lineno"> 1284</span> </div>
<div class="line"><a name="l01285"></a><span class="lineno"> 1285</span> </div>
<div class="line"><a name="l01286"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a1f2d422ab4dd1297fbf6c4295a430f32"> 1286</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ad74cb42b63d2f92b55c79281e84816c1" title="==> AND(e1,e2) IFF [simplified expr]">CommonTheoremProducer::rewriteAnd</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& e)</div>
<div class="line"><a name="l01287"></a><span class="lineno"> 1287</span> {</div>
<div class="line"><a name="l01288"></a><span class="lineno"> 1288</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a98f862538ac375b133079c336c539b22">iffMP</a>(e, <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ad74cb42b63d2f92b55c79281e84816c1" title="==> AND(e1,e2) IFF [simplified expr]">rewriteAnd</a>(e.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>()));</div>
<div class="line"><a name="l01289"></a><span class="lineno"> 1289</span> }</div>
<div class="line"><a name="l01290"></a><span class="lineno"> 1290</span> </div>
<div class="line"><a name="l01291"></a><span class="lineno"> 1291</span> </div>
<div class="line"><a name="l01292"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a9f135d57462754cd9903190d4fe4aec8"> 1292</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#aa0d6b0fbe3838ae22b4a90d92d1530e2" title="==> OR(e1,...,en) IFF [simplified expr]">CommonTheoremProducer::rewriteOr</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& e)</div>
<div class="line"><a name="l01293"></a><span class="lineno"> 1293</span> {</div>
<div class="line"><a name="l01294"></a><span class="lineno"> 1294</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a98f862538ac375b133079c336c539b22">iffMP</a>(e, <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#aa0d6b0fbe3838ae22b4a90d92d1530e2" title="==> OR(e1,...,en) IFF [simplified expr]">rewriteOr</a>(e.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>()));</div>
<div class="line"><a name="l01295"></a><span class="lineno"> 1295</span> }</div>
<div class="line"><a name="l01296"></a><span class="lineno"> 1296</span> </div>
<div class="line"><a name="l01297"></a><span class="lineno"> 1297</span> </div>
<div class="line"><a name="l01298"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a752f5927047540cc10f67d3d5ed179a7"> 1298</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a752f5927047540cc10f67d3d5ed179a7">CommonTheoremProducer::ackermann</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e1, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e2)</div>
<div class="line"><a name="l01299"></a><span class="lineno"> 1299</span> {</div>
<div class="line"><a name="l01300"></a><span class="lineno"> 1300</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l01301"></a><span class="lineno"> 1301</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)</div>
<div class="line"><a name="l01302"></a><span class="lineno"> 1302</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e1.<a class="code" href="group__ExprPkg.html#ga1d6a6b4a9ce81b0dd8fd74870ff4284b">isApply</a>() && e2.<a class="code" href="group__ExprPkg.html#ga1d6a6b4a9ce81b0dd8fd74870ff4284b">isApply</a>() && e1.<a class="code" href="group__ExprPkg.html#gace479f04faca399219496195152f7806" title="Get operator from expression.">getOp</a>() == e2.<a class="code" href="group__ExprPkg.html#gace479f04faca399219496195152f7806" title="Get operator from expression.">getOp</a>(),</div>
<div class="line"><a name="l01303"></a><span class="lineno"> 1303</span>  <span class="stringliteral">"ackermann precondition violated"</span>);</div>
<div class="line"><a name="l01304"></a><span class="lineno"> 1304</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> hyp;</div>
<div class="line"><a name="l01305"></a><span class="lineno"> 1305</span>  <span class="keywordtype">int</span> ar = e1.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>();</div>
<div class="line"><a name="l01306"></a><span class="lineno"> 1306</span>  <span class="keywordflow">if</span> (ar == 1) {</div>
<div class="line"><a name="l01307"></a><span class="lineno"> 1307</span>  hyp = <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(e1[0].eqExpr(e2[0]));</div>
<div class="line"><a name="l01308"></a><span class="lineno"> 1308</span>  }</div>
<div class="line"><a name="l01309"></a><span class="lineno"> 1309</span>  <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l01310"></a><span class="lineno"> 1310</span>  vector<Expr> vec;</div>
<div class="line"><a name="l01311"></a><span class="lineno"> 1311</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i != ar; ++i) {</div>
<div class="line"><a name="l01312"></a><span class="lineno"> 1312</span>  vec.push_back(e1[i].eqExpr(e2[i]));</div>
<div class="line"><a name="l01313"></a><span class="lineno"> 1313</span>  }</div>
<div class="line"><a name="l01314"></a><span class="lineno"> 1314</span>  hyp = <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(<a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba865555c9f2e0458a7078486aa1b3254f">AND</a>, vec);</div>
<div class="line"><a name="l01315"></a><span class="lineno"> 1315</span>  }</div>
<div class="line"><a name="l01316"></a><span class="lineno"> 1316</span>  <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>())</div>
<div class="line"><a name="l01317"></a><span class="lineno"> 1317</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"ackermann"</span>, e1, e2);</div>
<div class="line"><a name="l01318"></a><span class="lineno"> 1318</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#ab3afa2471d244b129865548afe06ca89" title="Create a new theorem. See also newRWTheorem() and newReflTheorem()">newTheorem</a>(hyp.impExpr(e1.<a class="code" href="group__ExprPkg.html#gacb48495ca445c895f95d0c3c1ae2070b">eqExpr</a>(e2)), <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l01319"></a><span class="lineno"> 1319</span> }</div>
<div class="line"><a name="l01320"></a><span class="lineno"> 1320</span> </div>
<div class="line"><a name="l01321"></a><span class="lineno"> 1321</span> </div>
<div class="line"><a name="l01322"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a78038ee1c3cd8d3657a0261ce2f35eaf"> 1322</a></span> <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a78038ee1c3cd8d3657a0261ce2f35eaf" title="Helper function for liftOneITE.">CommonTheoremProducer::findITE</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e, <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& condition, <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& thenpart, <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& elsepart)</div>
<div class="line"><a name="l01323"></a><span class="lineno"> 1323</span> {</div>
<div class="line"><a name="l01324"></a><span class="lineno"> 1324</span>  <span class="keywordflow">if</span> (!e.<a class="code" href="group__ExprPkg.html#ga42929221eb172250697b72c28af6de07" title="Get the type. Recursively compute if necessary.">getType</a>().<a class="code" href="classCVC3_1_1Type.html#a38bba404056eadf3c283a67ab2347e02">isBool</a>() && e.<a class="code" href="group__ExprPkg.html#gaef13fa4752a1fb28e129a1efd0e26f01">isITE</a>()) {</div>
<div class="line"><a name="l01325"></a><span class="lineno"> 1325</span>  condition = e[0];</div>
<div class="line"><a name="l01326"></a><span class="lineno"> 1326</span>  <span class="keywordflow">if</span> (!condition.<a class="code" href="group__ExprPkg.html#gaf53e6a6f9dc01481d2cf94673c5505ce" title="Return whether Expr contains a non-bool type ITE as a sub-term.">containsTermITE</a>()) {</div>
<div class="line"><a name="l01327"></a><span class="lineno"> 1327</span>  thenpart = e[1];</div>
<div class="line"><a name="l01328"></a><span class="lineno"> 1328</span>  elsepart = e[2];</div>
<div class="line"><a name="l01329"></a><span class="lineno"> 1329</span>  <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l01330"></a><span class="lineno"> 1330</span>  }</div>
<div class="line"><a name="l01331"></a><span class="lineno"> 1331</span>  }</div>
<div class="line"><a name="l01332"></a><span class="lineno"> 1332</span> </div>
<div class="line"><a name="l01333"></a><span class="lineno"> 1333</span>  vector<Expr> kids;</div>
<div class="line"><a name="l01334"></a><span class="lineno"> 1334</span>  <span class="keywordtype">int</span> i = 0;</div>
<div class="line"><a name="l01335"></a><span class="lineno"> 1335</span>  <span class="keywordflow">for</span> (; i < e.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>(); ++i) {</div>
<div class="line"><a name="l01336"></a><span class="lineno"> 1336</span>  <span class="keywordflow">if</span> (e[i].containsTermITE()) <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l01337"></a><span class="lineno"> 1337</span>  kids.push_back(e[i]);</div>
<div class="line"><a name="l01338"></a><span class="lineno"> 1338</span>  }</div>
<div class="line"><a name="l01339"></a><span class="lineno"> 1339</span> </div>
<div class="line"><a name="l01340"></a><span class="lineno"> 1340</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {</div>
<div class="line"><a name="l01341"></a><span class="lineno"> 1341</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(i < e.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>(), <span class="stringliteral">"could not find ITE"</span>);</div>
<div class="line"><a name="l01342"></a><span class="lineno"> 1342</span>  }</div>
<div class="line"><a name="l01343"></a><span class="lineno"> 1343</span> </div>
<div class="line"><a name="l01344"></a><span class="lineno"> 1344</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> t2, e2;</div>
<div class="line"><a name="l01345"></a><span class="lineno"> 1345</span>  <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a78038ee1c3cd8d3657a0261ce2f35eaf" title="Helper function for liftOneITE.">findITE</a>(e[i], condition, t2, e2);</div>
<div class="line"><a name="l01346"></a><span class="lineno"> 1346</span> </div>
<div class="line"><a name="l01347"></a><span class="lineno"> 1347</span>  kids.push_back(t2);</div>
<div class="line"><a name="l01348"></a><span class="lineno"> 1348</span>  <span class="keywordflow">for</span>(<span class="keywordtype">int</span> k = i+1; k < e.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>(); ++k) {</div>
<div class="line"><a name="l01349"></a><span class="lineno"> 1349</span>  kids.push_back(e[k]);</div>
<div class="line"><a name="l01350"></a><span class="lineno"> 1350</span>  }</div>
<div class="line"><a name="l01351"></a><span class="lineno"> 1351</span> </div>
<div class="line"><a name="l01352"></a><span class="lineno"> 1352</span>  thenpart = <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(e.<a class="code" href="group__ExprPkg.html#gace479f04faca399219496195152f7806" title="Get operator from expression.">getOp</a>(), kids);</div>
<div class="line"><a name="l01353"></a><span class="lineno"> 1353</span> </div>
<div class="line"><a name="l01354"></a><span class="lineno"> 1354</span>  kids[i] = e2;</div>
<div class="line"><a name="l01355"></a><span class="lineno"> 1355</span>  elsepart = <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(e.<a class="code" href="group__ExprPkg.html#gace479f04faca399219496195152f7806" title="Get operator from expression.">getOp</a>(), kids);</div>
<div class="line"><a name="l01356"></a><span class="lineno"> 1356</span> }</div>
<div class="line"><a name="l01357"></a><span class="lineno"> 1357</span> </div>
<div class="line"><a name="l01358"></a><span class="lineno"> 1358</span> </div>
<div class="line"><a name="l01359"></a><span class="lineno"><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a749d1c718f05307dad5dcc3f6d2296a2"> 1359</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a749d1c718f05307dad5dcc3f6d2296a2">CommonTheoremProducer::liftOneITE</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e) {</div>
<div class="line"><a name="l01360"></a><span class="lineno"> 1360</span> </div>
<div class="line"><a name="l01361"></a><span class="lineno"> 1361</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {</div>
<div class="line"><a name="l01362"></a><span class="lineno"> 1362</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#gaf53e6a6f9dc01481d2cf94673c5505ce" title="Return whether Expr contains a non-bool type ITE as a sub-term.">containsTermITE</a>(), <span class="stringliteral">"CommonTheoremProducer::liftOneITE: bad input"</span> + e.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());</div>
<div class="line"><a name="l01363"></a><span class="lineno"> 1363</span>  }</div>
<div class="line"><a name="l01364"></a><span class="lineno"> 1364</span> </div>
<div class="line"><a name="l01365"></a><span class="lineno"> 1365</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> cond, thenpart, elsepart;</div>
<div class="line"><a name="l01366"></a><span class="lineno"> 1366</span> </div>
<div class="line"><a name="l01367"></a><span class="lineno"> 1367</span>  <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a78038ee1c3cd8d3657a0261ce2f35eaf" title="Helper function for liftOneITE.">findITE</a>(e, cond, thenpart, elsepart);</div>
<div class="line"><a name="l01368"></a><span class="lineno"> 1368</span> </div>
<div class="line"><a name="l01369"></a><span class="lineno"> 1369</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l01370"></a><span class="lineno"> 1370</span>  <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>())</div>
<div class="line"><a name="l01371"></a><span class="lineno"> 1371</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"lift_one_ite"</span>, e);</div>
<div class="line"><a name="l01372"></a><span class="lineno"> 1372</span> </div>
<div class="line"><a name="l01373"></a><span class="lineno"> 1373</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, cond.<a class="code" href="group__ExprPkg.html#ga5532cabad6f699c57da32a8db65a38da">iteExpr</a>(thenpart, elsepart), <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l01374"></a><span class="lineno"> 1374</span> }</div>
</div><!-- fragment --></div><!-- contents -->
<!-- start footer part -->
<hr class="footer"/><address class="footer"><small>
Generated on Thu May 16 2013 13:25:13 for CVC3 by  <a href="http://www.doxygen.org/index.html">
<img class="footer" src="doxygen.png" alt="doxygen"/>
</a> 1.8.2
</small></address>
</body>
</html>
