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<div class="title">core_theorem_producer.cpp</div> </div>
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<a href="core__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 core_theorem_producer.cpp</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> * </span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * Author: Sergey Berezin</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * </span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * Created: Feb 05 03:40:36 GMT 2003</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment"> * <hr></span></div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment"> * License to use, copy, modify, sell and/or distribute this software</span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment"> * and its documentation for any purpose is hereby granted without</span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="comment"> * royalty, subject to the terms and conditions defined in the \ref</span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment"> * LICENSE file provided with this distribution.</span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment"> * </span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="comment"> * <hr></span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="comment"> * </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">// CLASS: CoreTheoremProducer</span></div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="comment">//</span></div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="comment">// AUTHOR: Sergey Berezin, 12/09/2002</span></div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="comment">// Vijay Ganesh, september 15th, 2004 (CNF Converter rules)</span></div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="comment">//</span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="comment">// Description: Implementation of the proof rules for ground</span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="comment">// equational logic (reflexivity, symmetry, transitivity, and</span></div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="comment">// substitutivity).</span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="comment">//</span><span class="comment"></span></div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="comment">///////////////////////////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="comment"></span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> </div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="comment">// This code is trusted</span></div>
<div class="line"><a name="l00033"></a><span class="lineno"><a class="code" href="core__theorem__producer_8cpp.html#a8663c36bbf15bb5a0dcb01b97897fa95"> 33</a></span> <span class="preprocessor">#define _CVC3_TRUSTED_</span></div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> </div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="preprocessor">#include "<a class="code" href="core__theorem__producer_8h.html">core_theorem_producer.h</a>"</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="preprocessor">#include "<a class="code" href="theory__core_8h.html">theory_core.h</a>"</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"> 40</span> <span class="keyword">using namespace </span>CVC3;</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="keyword">using namespace </span>std;</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> </div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> </div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="comment">// The trusted method of TheoryCore which creates this theorem producer</span></div>
<div class="line"><a name="l00045"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryCore.html#a5b386f16781365b7421e884baaebae41"> 45</a></span> <a class="code" href="classCVC3_1_1CoreProofRules.html">CoreProofRules</a>* <a class="code" href="classCVC3_1_1TheoryCore.html#a5b386f16781365b7421e884baaebae41" title="Private method to get a new theorem producer.">TheoryCore::createProofRules</a>(<a class="code" href="classCVC3_1_1TheoremManager.html">TheoremManager</a>* tm) {</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <span class="keywordflow">return</span> <span class="keyword">new</span> <a class="code" href="classCVC3_1_1CoreTheoremProducer.html">CoreTheoremProducer</a>(tm, <span class="keyword">this</span>);</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> }</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span> </div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> </div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="comment">// e: T ==> |- typePred_T(e) [asserting the type predicate of e]</span></div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a></div>
<div class="line"><a name="l00052"></a><span class="lineno"><a class="code" href="classCVC3_1_1CoreTheoremProducer.html#a0b6d312ded517ab466308ec5981d250e"> 52</a></span> <a class="code" href="classCVC3_1_1CoreTheoremProducer.html#a0b6d312ded517ab466308ec5981d250e" title="e: T ==> |- typePred_T(e) [deriving the type predicate of e]">CoreTheoremProducer::typePred</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="l00053"></a><span class="lineno"> 53</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#ga42929221eb172250697b72c28af6de07" title="Get the type. Recursively compute if necessary.">getType</a>());</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> pred(d_core->getTypePred(tp, e));</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <span class="keywordflow">if</span>(withProof()) {</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  pf = newPf(<span class="stringliteral">"type_pred"</span>, e, tp.getExpr());</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  }</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="keywordflow">return</span> newTheorem(pred, <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span> }</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span> </div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span> </div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a></div>
<div class="line"><a name="l00064"></a><span class="lineno"><a class="code" href="classCVC3_1_1CoreTheoremProducer.html#a222db72dc6f637e582dfb9b8dd4e362c"> 64</a></span> <a class="code" href="classCVC3_1_1CoreTheoremProducer.html#a222db72dc6f637e582dfb9b8dd4e362c" title="Replace LETDECL with its definition.">CoreTheoremProducer::rewriteLetDecl</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="l00065"></a><span class="lineno"> 65</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#ga7814e4f55f65c7ca860c637413df5f4d">getKind</a>() == <a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba9508dd8c8e7db280a5dacc19bd74d92d">LETDECL</a>,</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <span class="stringliteral">"rewriteLetDecl: wrong expression: "</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="l00068"></a><span class="lineno"> 68</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <span class="keywordflow">if</span>(withProof()) <span class="comment">// FIXME: implement this in flea</span></div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  pf = newPf(<span class="stringliteral">"rewrite_letdecl"</span>, e[1]);</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <span class="keywordflow">return</span> newRWTheorem(e, e[1], <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span> }</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span> </div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span> <span class="comment">// ==> NOT (AND e1 ... en) IFF (OR !e1 ... !en), takes (AND ...)</span></div>
<div class="line"><a name="l00075"></a><span class="lineno"><a class="code" href="classCVC3_1_1CoreTheoremProducer.html#a66f5d185eca0ccf417b4bf5ed4448f72"> 75</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CoreTheoremProducer.html#a66f5d185eca0ccf417b4bf5ed4448f72" title="==> NOT (AND e1 ... en) IFF (OR !e1 ... !en), takes (AND ...)">CoreTheoremProducer::rewriteNotAnd</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="l00076"></a><span class="lineno"> 76</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</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#ga383260cf4f8919728e2712e6e11f21fa">isAnd</a>(),</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <span class="stringliteral">"rewriteNotAnd: precondition violated: "</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="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>  vector<Expr> kids; <span class="comment">// vector of <!e1,...,!en></span></div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="keywordflow">for</span>(<a class="code" href="classCVC3_1_1Expr_1_1iterator.html">Expr::iterator</a> i=e[0].begin(), iend=e[0].<a class="code" href="group__ExprPkg.html#gaf6048a5030c8fa2511bf5dfee868e653" title="End iterator.">end</a>(); i!=iend; ++i)</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <span class="comment">// Collapse double negations</span></div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  kids.push_back(i->negate());</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <span class="keywordflow">if</span>(withProof())</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  pf = newPf(<span class="stringliteral">"rewrite_not_and"</span>, e);</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <span class="keywordflow">return</span> newRWTheorem(e, <a class="code" href="namespaceCVC3.html#a30f30b6e20c174f21ae63acea8618294">orExpr</a>(kids), <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span> }</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span> </div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span> <span class="comment">// ==> NOT (OR e1 ... en) IFF (AND !e1 ... !en), takes (OR ...)</span></div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a></div>
<div class="line"><a name="l00093"></a><span class="lineno"><a class="code" href="classCVC3_1_1CoreTheoremProducer.html#a5ce6abeb6a346d20f5d5860a30a33e28"> 93</a></span> <a class="code" href="classCVC3_1_1CoreTheoremProducer.html#a5ce6abeb6a346d20f5d5860a30a33e28" title="==> NOT (OR e1 ... en) IFF (AND !e1 ... !en), takes (OR ...)">CoreTheoremProducer::rewriteNotOr</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="l00094"></a><span class="lineno"> 94</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</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#ga36f1eff876808586db368dc1b6da5f56">isOr</a>(),</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <span class="stringliteral">"rewriteNotOr: precondition violated: "</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="l00097"></a><span class="lineno"> 97</span>  vector<Expr> kids; <span class="comment">// vector of <!e1,...,!en></span></div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <span class="keywordflow">for</span>(<a class="code" href="classCVC3_1_1Expr_1_1iterator.html">Expr::iterator</a> i=e[0].begin(), iend=e[0].<a class="code" href="group__ExprPkg.html#gaf6048a5030c8fa2511bf5dfee868e653" title="End iterator.">end</a>(); i!=iend; ++i)</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="comment">// Collapse double negations</span></div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  kids.push_back(i->negate());</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <span class="keywordflow">if</span>(withProof())</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  pf = newPf(<span class="stringliteral">"rewrite_not_or"</span>, e);</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="keywordflow">return</span> newRWTheorem(e, <a class="code" href="namespaceCVC3.html#ad4258158bba138eb54b9080af7f8223a">andExpr</a>(kids), <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span> }</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span> </div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span> </div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span> <span class="comment">// ==> NOT IFF(e1,e2) IFF IFF(e1,NOT e2)</span></div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a></div>
<div class="line"><a name="l00110"></a><span class="lineno"><a class="code" href="classCVC3_1_1CoreTheoremProducer.html#a7da16f5874fbc0870f57a9deeeec80b8"> 110</a></span> <a class="code" href="classCVC3_1_1CoreTheoremProducer.html#a7da16f5874fbc0870f57a9deeeec80b8" title="==> NOT IFF(e1,e2) IFF IFF(e1,NOT e2)">CoreTheoremProducer::rewriteNotIff</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="l00111"></a><span class="lineno"> 111</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</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#gabe385fb97505cccb75702378511c5375">isIff</a>(), <span class="stringliteral">"rewriteNotIff precondition violated"</span>);</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <span class="keywordflow">if</span>(withProof()) {</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  pf = newPf(<span class="stringliteral">"rewrite_not_iff"</span>, e);</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>  <span class="keywordflow">return</span> newRWTheorem(e, e[0][0].iffExpr(!e[0][1]), <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</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> </div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span> </div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span> <span class="comment">// ==> NOT ITE(a,b,c) IFF ITE(a,NOT b,NOT c)</span></div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a></div>
<div class="line"><a name="l00123"></a><span class="lineno"><a class="code" href="classCVC3_1_1CoreTheoremProducer.html#accd799779aa02c5d84352cc48e975b3d"> 123</a></span> <a class="code" href="classCVC3_1_1CoreTheoremProducer.html#accd799779aa02c5d84352cc48e975b3d" title="==> NOT ITE(a,b,c) IFF ITE(a,NOT b,NOT c)">CoreTheoremProducer::rewriteNotIte</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="l00124"></a><span class="lineno"> 124</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</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#gaef13fa4752a1fb28e129a1efd0e26f01">isITE</a>(), <span class="stringliteral">"rewriteNotIte precondition violated"</span>);</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <span class="keywordflow">if</span>(withProof()) {</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  pf = newPf(<span class="stringliteral">"rewrite_not_ite"</span>, e);</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  }</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  <span class="keywordflow">return</span> newRWTheorem(e, e[0][0].iteExpr(!e[0][1], !e[0][2]), <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span> }</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> </div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span> <span class="comment">// a |- b == d ==> ITE(a, b, c) == ITE(a, d, c)</span></div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a></div>
<div class="line"><a name="l00136"></a><span class="lineno"><a class="code" href="classCVC3_1_1CoreTheoremProducer.html#a490808acd89e0732678d570599c93165"> 136</a></span> <a class="code" href="classCVC3_1_1CoreTheoremProducer.html#a490808acd89e0732678d570599c93165" title="a |- b == d ==> ITE(a, b, c) == ITE(a, d, c)">CoreTheoremProducer::rewriteIteThen</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="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& thenThm) {</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(withAssumptions(), <span class="stringliteral">"Cannot check proof without assumptions"</span>);</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#gaef13fa4752a1fb28e129a1efd0e26f01">isITE</a>() && thenThm.<a class="code" href="classCVC3_1_1Theorem.html#a362c1d70e03803d804bbe300e5f6dc87">isRewrite</a>() && e[1] == thenThm.<a class="code" href="classCVC3_1_1Theorem.html#a206c04f39fbbcacef2337148675553f4">getLHS</a>(),</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  <span class="stringliteral">"rewriteIteThen precondition violated \n then expression: "</span></div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  + thenThm.<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 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="l00143"></a><span class="lineno"> 143</span>  }</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a> a = thenThm.<a class="code" href="classCVC3_1_1Theorem.html#a5e9ab00a613df15cc02f55edb55a67b3">getAssumptionsRef</a>() - e[0];</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  <span class="keywordflow">if</span>(withProof()) {</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  <a class="code" href="classCVC3_1_1Type.html" title="MS C++ specific settings.">Type</a> t = e.<a class="code" href="group__ExprPkg.html#ga42929221eb172250697b72c28af6de07" title="Get the type. Recursively compute if necessary.">getType</a>();</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</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">"rewriteIteThen: e has no type: "</span></div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</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="l00149"></a><span class="lineno"> 149</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="l00150"></a><span class="lineno"> 150</span>  <span class="keywordflow">if</span>(useIff)</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  pf = newPf(<span class="stringliteral">"rewrite_ite_then_iff"</span>, e, thenThm.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  pf = newPf(<span class="stringliteral">"rewrite_ite_then"</span>, e, thenThm.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  }</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  }</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  <span class="keywordflow">return</span> newRWTheorem(e, e[0].iteExpr(thenThm.<a class="code" href="classCVC3_1_1Theorem.html#a97d957fcbf9094480851b1d2e5d3729f">getRHS</a>(), e[2]), a, pf);</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span> }</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span> </div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span> <span class="comment">// !a |- c == d ==> ITE(a, b, c) == ITE(a, b, d)</span></div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a></div>
<div class="line"><a name="l00161"></a><span class="lineno"><a class="code" href="classCVC3_1_1CoreTheoremProducer.html#ae1092dc92aef4300caf926b48ac2ec65"> 161</a></span> <a class="code" href="classCVC3_1_1CoreTheoremProducer.html#ae1092dc92aef4300caf926b48ac2ec65" title="!a |- c == d ==> ITE(a, b, c) == ITE(a, b, d)">CoreTheoremProducer::rewriteIteElse</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="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& elseThm) {</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(withAssumptions(), <span class="stringliteral">"Cannot check proof without assumptions"</span>);</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#gaef13fa4752a1fb28e129a1efd0e26f01">isITE</a>() && elseThm.<a class="code" href="classCVC3_1_1Theorem.html#a362c1d70e03803d804bbe300e5f6dc87">isRewrite</a>() && e[2] == elseThm.<a class="code" href="classCVC3_1_1Theorem.html#a206c04f39fbbcacef2337148675553f4">getLHS</a>(),</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  <span class="stringliteral">"rewriteIteElse precondition violated \n else expression: "</span></div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  + elseThm.<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 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="l00168"></a><span class="lineno"> 168</span>  }</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a> a = elseThm.<a class="code" href="classCVC3_1_1Theorem.html#a5e9ab00a613df15cc02f55edb55a67b3">getAssumptionsRef</a>() - !e[0];</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  <span class="keywordflow">if</span>(withProof()) {</div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  <a class="code" href="classCVC3_1_1Type.html" title="MS C++ specific settings.">Type</a> t = e.<a class="code" href="group__ExprPkg.html#ga42929221eb172250697b72c28af6de07" title="Get the type. Recursively compute if necessary.">getType</a>();</div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</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">"rewriteIteElse: e has no type: "</span></div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</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="l00174"></a><span class="lineno"> 174</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="l00175"></a><span class="lineno"> 175</span>  <span class="keywordflow">if</span>(useIff)</div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  pf = newPf(<span class="stringliteral">"rewrite_ite_else_iff"</span>, e, elseThm.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  pf = newPf(<span class="stringliteral">"rewrite_ite_else"</span>, e, elseThm.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());</div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  }</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  }</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  <span class="keywordflow">return</span> newRWTheorem(e, e[0].iteExpr(e[1], elseThm.<a class="code" href="classCVC3_1_1Theorem.html#a97d957fcbf9094480851b1d2e5d3729f">getRHS</a>()), a, pf);</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> </div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span> <span class="comment">// ==> ITE(c, e1, e2) <=> (!c OR e1) AND (c OR e2)</span></div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> </div>
<div class="line"><a name="l00186"></a><span class="lineno"><a class="code" href="classCVC3_1_1CoreTheoremProducer.html#ac888377c574a056b251446902c010352"> 186</a></span> <a class="code" href="classCVC3_1_1CoreTheoremProducer.html#ac888377c574a056b251446902c010352" title="==> ITE(c, e1, e2) <=> (c => e1) AND (!c => e2)">CoreTheoremProducer::rewriteIteBool</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& c,</div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  <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="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>(e1.<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>() && e2.<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="l00190"></a><span class="lineno"> 190</span>  <span class="stringliteral">"rewriteIteBool: Not a boolean ITE: "</span></div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  + c.<a class="code" href="group__ExprPkg.html#ga5532cabad6f699c57da32a8db65a38da">iteExpr</a>(e1, e2).<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());</div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  <span class="keywordflow">if</span>(withProof())</div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  pf = newPf(<span class="stringliteral">"rewrite_ite_bool"</span>, c, e1, e2);</div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  <span class="keywordflow">return</span> newRWTheorem(c.<a class="code" href="group__ExprPkg.html#ga5532cabad6f699c57da32a8db65a38da">iteExpr</a>(e1,e2),</div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  (e1.<a class="code" href="group__ExprPkg.html#gaf310870d783fff343e77ba9c2277c626">orExpr</a>(!c).<a class="code" href="group__ExprPkg.html#ga6c3651465ce69ed5f4e6fd461b9acf3c">andExpr</a>(c.<a class="code" href="group__ExprPkg.html#gaf310870d783fff343e77ba9c2277c626">orExpr</a>(e2))), <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span> }</div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</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">//! |= (A & B1) | (A & B2) | ... | (A & bn) <=> A & (B1 | B2 | ...| Bn)</span></div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span> <span class="comment"></span><a class="code" href="classCVC3_1_1Theorem.html">Theorem</a></div>
<div class="line"><a name="l00202"></a><span class="lineno"><a class="code" href="classCVC3_1_1CoreTheoremProducer.html#a84abfb7cac1d339c43b322b097aa574c"> 202</a></span> <a class="code" href="classCVC3_1_1CoreTheoremProducer.html#a84abfb7cac1d339c43b322b097aa574c" title="|= (A & B1) | (A & B2) | ... | (A & bn) <=> A & (B1 | B2 | ...| Bn)">CoreTheoremProducer::orDistributivityRule</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="l00203"></a><span class="lineno"> 203</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {</div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#ga36f1eff876808586db368dc1b6da5f56">isOr</a>() && e.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>() >= 2,</div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  <span class="stringliteral">"CoreTheoremProducer::orDistributivityRule: "</span></div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  <span class="stringliteral">"input must be an OR expr: \n"</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="l00207"></a><span class="lineno"> 207</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e0 = e[0];</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span> </div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e0.isAnd() && e0.arity() == 2,</div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  <span class="stringliteral">"CoreTheoremProducer::orDistributivityRule: "</span></div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  <span class="stringliteral">"input must be an OR of binary ANDs: \n"</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="l00212"></a><span class="lineno"> 212</span>  }</div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span> </div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& A = e[0][0];</div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span> </div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  <span class="keywordflow">for</span>(<a class="code" href="classCVC3_1_1Expr_1_1iterator.html">Expr::iterator</a> i=e.<a class="code" href="group__ExprPkg.html#gac890e13db184610276fc533fa4b4fe99" title="Begin iterator.">begin</a>(),iend=e.<a class="code" href="group__ExprPkg.html#gaf6048a5030c8fa2511bf5dfee868e653" title="End iterator.">end</a>();i!=iend;++i) {</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& ei = *i;</div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(ei.<a class="code" href="group__ExprPkg.html#ga383260cf4f8919728e2712e6e11f21fa">isAnd</a>() && ei.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>() == 2,</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  <span class="stringliteral">"CoreTheoremProducer::orDistributivityRule: "</span></div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  <span class="stringliteral">"input must be an OR of binary ANDs: \n"</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="l00222"></a><span class="lineno"> 222</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(A == ei[0],</div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  <span class="stringliteral">"CoreTheoremProducer::orDistributivityRule: "</span></div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  <span class="stringliteral">"input must have a common factor: \n"</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="l00225"></a><span class="lineno"> 225</span>  }</div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  }</div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  vector<Expr> output;</div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  <span class="keywordflow">for</span>(<a class="code" href="classCVC3_1_1Expr_1_1iterator.html">Expr::iterator</a> i=e.<a class="code" href="group__ExprPkg.html#gac890e13db184610276fc533fa4b4fe99" title="Begin iterator.">begin</a>(),iend=e.<a class="code" href="group__ExprPkg.html#gaf6048a5030c8fa2511bf5dfee868e653" title="End iterator.">end</a>();i!=iend;++i) {</div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> ei = *i;</div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  output.push_back(ei[1]);</div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  }</div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> out = A.<a class="code" href="group__ExprPkg.html#ga6c3651465ce69ed5f4e6fd461b9acf3c">andExpr</a>(<a class="code" href="namespaceCVC3.html#a30f30b6e20c174f21ae63acea8618294">orExpr</a>(output));</div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span> </div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  <span class="keywordflow">if</span>(withProof())</div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  pf = newPf(<span class="stringliteral">"or_distribuitivity_rule"</span>, e);</div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  </div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  <span class="keywordflow">return</span> newRWTheorem(e, out, <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</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> </div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span> <span class="comment"></span></div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span> <span class="comment">//! |= (A | B1) & (A | B2) & ... & (A | bn) <=> A | (B1 & B2 & ...& Bn)</span></div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span> <span class="comment"></span><a class="code" href="classCVC3_1_1Theorem.html">Theorem</a></div>
<div class="line"><a name="l00245"></a><span class="lineno"><a class="code" href="classCVC3_1_1CoreTheoremProducer.html#af5e5fb97e5fe6197e42c2c44e1757bb3"> 245</a></span> <a class="code" href="classCVC3_1_1CoreTheoremProducer.html#af5e5fb97e5fe6197e42c2c44e1757bb3" title="|= (A | B1) & (A | B2) & ... & (A | bn) <=> A | (B1 & B2 & ...& Bn)">CoreTheoremProducer::andDistributivityRule</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="l00246"></a><span class="lineno"> 246</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {</div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#ga383260cf4f8919728e2712e6e11f21fa">isAnd</a>() && e.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>() >= 2,</div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  <span class="stringliteral">"CoreTheoremProducer::andDistributivityRule: "</span></div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  <span class="stringliteral">"input must be an AND expr: \n"</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="l00250"></a><span class="lineno"> 250</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e0 = e[0];</div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span> </div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e0.isOr() && e0.arity() == 2,</div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  <span class="stringliteral">"CoreTheoremProducer::orDistributivityRule: "</span></div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  <span class="stringliteral">"input must be an AND of binary ORs: \n"</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="l00255"></a><span class="lineno"> 255</span>  }</div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span> </div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& A = e[0][0];</div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span> </div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {</div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  <span class="keywordflow">for</span>(<a class="code" href="classCVC3_1_1Expr_1_1iterator.html">Expr::iterator</a> i=e.<a class="code" href="group__ExprPkg.html#gac890e13db184610276fc533fa4b4fe99" title="Begin iterator.">begin</a>(),iend=e.<a class="code" href="group__ExprPkg.html#gaf6048a5030c8fa2511bf5dfee868e653" title="End iterator.">end</a>();i!=iend;++i) {</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>& ei = *i;</div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(ei.<a class="code" href="group__ExprPkg.html#ga36f1eff876808586db368dc1b6da5f56">isOr</a>() && ei.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>() == 2,</div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  <span class="stringliteral">"CoreTheoremProducer::andDistributivityRule: "</span></div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  <span class="stringliteral">"input must be an AND of binary ORs: \n"</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="l00265"></a><span class="lineno"> 265</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(A == ei[0],</div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  <span class="stringliteral">"CoreTheoremProducer::andDistributivityRule: "</span></div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  <span class="stringliteral">"input must have a common factor: \n"</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="l00268"></a><span class="lineno"> 268</span>  }</div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  }</div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  vector<Expr> output;</div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  <span class="keywordflow">for</span>(<a class="code" href="classCVC3_1_1Expr_1_1iterator.html">Expr::iterator</a> i=e.<a class="code" href="group__ExprPkg.html#gac890e13db184610276fc533fa4b4fe99" title="Begin iterator.">begin</a>(),iend=e.<a class="code" href="group__ExprPkg.html#gaf6048a5030c8fa2511bf5dfee868e653" title="End iterator.">end</a>();i!=iend;++i) {</div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  output.push_back((*i)[1]);</div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  }</div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> out = A.<a class="code" href="group__ExprPkg.html#gaf310870d783fff343e77ba9c2277c626">orExpr</a>(<a class="code" href="namespaceCVC3.html#ad4258158bba138eb54b9080af7f8223a">andExpr</a>(output));</div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span> </div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  <span class="keywordflow">if</span>(withProof())</div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  pf = newPf(<span class="stringliteral">"and_distribuitivity_rule"</span>, e);</div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  </div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  <span class="keywordflow">return</span> newRWTheorem(e, out, <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span> } </div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span> </div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span> <span class="comment">// ==> IMPLIES(e1,e2) IFF OR(!e1, e2)</span></div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a></div>
<div class="line"><a name="l00285"></a><span class="lineno"><a class="code" href="classCVC3_1_1CoreTheoremProducer.html#ac88efa4d7c591f187d3212c7162ef9a5"> 285</a></span> <a class="code" href="classCVC3_1_1CoreTheoremProducer.html#ac88efa4d7c591f187d3212c7162ef9a5" title="==> IMPLIES(e1,e2) IFF OR(!e1, e2)">CoreTheoremProducer::rewriteImplies</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="l00286"></a><span class="lineno"> 286</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)</div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#ga9067c706c6454ea1761ace7d7837af46">isImpl</a>(), <span class="stringliteral">"rewriteImplies precondition violated"</span>);</div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  <span class="keywordflow">if</span>(withProof()) {</div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>  pf = newPf(<span class="stringliteral">"rewrite_implies"</span>, e[0], e[1]);</div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  }</div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span>  <span class="keywordflow">return</span> newRWTheorem(e, !e[0] || e[1], <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span> }</div>
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span> </div>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span> <span class="comment">// ==> DISTINCT(e1,...,en) IFF AND 1 <= i < j <= n (e[i] /= e[j])</span></div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a></div>
<div class="line"><a name="l00297"></a><span class="lineno"><a class="code" href="classCVC3_1_1CoreTheoremProducer.html#a17536e7c7ffa8d9a34981458a20f21ff"> 297</a></span> <a class="code" href="classCVC3_1_1CoreTheoremProducer.html#a17536e7c7ffa8d9a34981458a20f21ff" title="==> DISTINCT(e1,...,en) IFF AND 1 <= i < j <= n (e[i] /= e[j])">CoreTheoremProducer::rewriteDistinct</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="l00298"></a><span class="lineno"> 298</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {</div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#ga7814e4f55f65c7ca860c637413df5f4d">getKind</a>() == <a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5baa23a9880eca693f679c969556249925f">DISTINCT</a>, <span class="stringliteral">"rewriteDistinct precondition violated"</span>);</div>
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>() > 0, <span class="stringliteral">"rewriteDistinct precondition violated"</span>);</div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  }</div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</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="l00304"></a><span class="lineno"> 304</span>  <span class="keywordflow">if</span> (e.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>() == 1) {</div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>  res = e.<a class="code" href="group__ExprPkg.html#gab57ce3dfa78947a906241d090c7cf34d">getEM</a>()-><a class="code" href="group__EM__Priv.html#ga4471fca49c2acbb7b4cf71e72bc55d6a" title="TRUE Expr.">trueExpr</a>();</div>
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>  }</div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (e.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>() == 2) {</div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  res = !(e[0].<a class="code" href="group__ExprPkg.html#gacb48495ca445c895f95d0c3c1ae2070b">eqExpr</a>(e[1]));</div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>  }</div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span>  vector<Expr> tmp;</div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < e.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>(); ++i) {</div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = i+1; j < e.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>(); ++j) {</div>
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span>  tmp.push_back(!(e[i].eqExpr(e[j])));</div>
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span>  }</div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span>  }</div>
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>  res = <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>, tmp);</div>
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>  }</div>
<div class="line"><a name="l00319"></a><span class="lineno"> 319</span>  <span class="keywordflow">if</span>(withProof()) {</div>
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>  pf = newPf(<span class="stringliteral">"rewrite_distinct"</span>, e , res);</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> </div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>  <span class="keywordflow">return</span> newRWTheorem(e, res, <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span> }</div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span> </div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span> <span class="comment">// ==> NOT(e) == ITE(e, FALSE, TRUE)</span></div>
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a></div>
<div class="line"><a name="l00328"></a><span class="lineno"><a class="code" href="classCVC3_1_1CoreTheoremProducer.html#a287bd6f15c149c66f1aea020cd144571"> 328</a></span> <a class="code" href="classCVC3_1_1CoreTheoremProducer.html#a287bd6f15c149c66f1aea020cd144571" title="==> NOT(e) == ITE(e, FALSE, TRUE)">CoreTheoremProducer::NotToIte</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& not_e){</div>
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)</div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(not_e.<a class="code" href="group__ExprPkg.html#ga1a898858ccadce833df5a294c7740f11">isNot</a>() && not_e[0].<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="l00332"></a><span class="lineno"> 332</span>  <span class="stringliteral">"NotToIte precondition violated"</span>);</div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>  <span class="keywordflow">if</span>(withProof())</div>
<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>  pf = newPf(<span class="stringliteral">"NotToIte"</span>, not_e[0]);</div>
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>  <span class="keywordflow">if</span>(not_e[0].isTrue())</div>
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>  <span class="keywordflow">return</span> d_core->getCommonRules()->rewriteNotTrue(not_e);</div>
<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span>(not_e[0].isFalse())</div>
<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>  <span class="keywordflow">return</span> d_core->getCommonRules()->rewriteNotFalse(not_e);</div>
<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> ite(not_e[0].iteExpr(d_em->falseExpr(), d_em->trueExpr()));</div>
<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>  <span class="keywordflow">return</span> newRWTheorem(not_e, ite, <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf); </div>
<div class="line"><a name="l00341"></a><span class="lineno"> 341</span> }</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">// ==> Or(e) == ITE(e[1], TRUE, e[0])</span></div>
<div class="line"><a name="l00344"></a><span class="lineno"> 344</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a></div>
<div class="line"><a name="l00345"></a><span class="lineno"><a class="code" href="classCVC3_1_1CoreTheoremProducer.html#a23a4580e5eb68d197db655776c5e8b0a"> 345</a></span> <a class="code" href="classCVC3_1_1CoreTheoremProducer.html#a23a4580e5eb68d197db655776c5e8b0a" title="==> Or(e) == ITE(e[1], TRUE, e[0])">CoreTheoremProducer::OrToIte</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="l00346"></a><span class="lineno"> 346</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)</div>
<div class="line"><a name="l00347"></a><span class="lineno"> 347</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#ga36f1eff876808586db368dc1b6da5f56">isOr</a>(),</div>
<div class="line"><a name="l00348"></a><span class="lineno"> 348</span>  <span class="stringliteral">"OrToIte: precondition violated: "</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="l00349"></a><span class="lineno"> 349</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00350"></a><span class="lineno"> 350</span>  <span class="keywordflow">if</span>(withProof()) {</div>
<div class="line"><a name="l00351"></a><span class="lineno"> 351</span>  pf = newPf(<span class="stringliteral">"OrToIte"</span>, e);</div>
<div class="line"><a name="l00352"></a><span class="lineno"> 352</span>  }</div>
<div class="line"><a name="l00353"></a><span class="lineno"> 353</span>  <span class="keyword">const</span> vector<Expr>& kids = e.<a class="code" href="group__ExprPkg.html#ga1e18ae89889e781591eb2874a4196b73">getKids</a>();</div>
<div class="line"><a name="l00354"></a><span class="lineno"> 354</span>  <span class="keywordtype">unsigned</span> k(kids.size());</div>
<div class="line"><a name="l00355"></a><span class="lineno"> 355</span>  <span class="keywordflow">if</span>(k==0)</div>
<div class="line"><a name="l00356"></a><span class="lineno"> 356</span>  <span class="keywordflow">return</span> newRWTheorem(e, d_em->falseExpr(), <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l00357"></a><span class="lineno"> 357</span>  <span class="keywordflow">if</span>(k==1)</div>
<div class="line"><a name="l00358"></a><span class="lineno"> 358</span>  <span class="keywordflow">return</span> newRWTheorem(e, e[0], <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</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> ite(kids[k-1]);</div>
<div class="line"><a name="l00360"></a><span class="lineno"> 360</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)</div>
<div class="line"><a name="l00361"></a><span class="lineno"> 361</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(!ite.<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#ab5fe00c99ee91f369e3339b26bab0bf7">isNull</a>(),</div>
<div class="line"><a name="l00362"></a><span class="lineno"> 362</span>  <span class="stringliteral">"OrToIte: kid "</span> + <a class="code" href="namespaceCVC3.html#af69618103f1f0f2eadada0796a2a940c">int2string</a>(k-1) + <span class="stringliteral">" has no type: "</span></div>
<div class="line"><a name="l00363"></a><span class="lineno"> 363</span>  + (ite).toString());</div>
<div class="line"><a name="l00364"></a><span class="lineno"> 364</span>  <span class="keywordflow">for</span> (; k > 1; k--) {</div>
<div class="line"><a name="l00365"></a><span class="lineno"> 365</span>  <span class="keywordflow">if</span> (kids[k-2].isTrue()) {</div>
<div class="line"><a name="l00366"></a><span class="lineno"> 366</span>  ite = d_em->trueExpr();</div>
<div class="line"><a name="l00367"></a><span class="lineno"> 367</span>  <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00368"></a><span class="lineno"> 368</span>  }</div>
<div class="line"><a name="l00369"></a><span class="lineno"> 369</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span>(kids[k-2].isFalse()) <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00370"></a><span class="lineno"> 370</span>  <span class="keywordflow">else</span>{</div>
<div class="line"><a name="l00371"></a><span class="lineno"> 371</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)</div>
<div class="line"><a name="l00372"></a><span class="lineno"> 372</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(!kids[k-2].getType().isNull(),</div>
<div class="line"><a name="l00373"></a><span class="lineno"> 373</span>  <span class="stringliteral">"OrToIte: kid "</span> + <a class="code" href="namespaceCVC3.html#af69618103f1f0f2eadada0796a2a940c">int2string</a>(k-2) + <span class="stringliteral">" has no type: "</span></div>
<div class="line"><a name="l00374"></a><span class="lineno"> 374</span>  + (kids[k-2]).toString());</div>
<div class="line"><a name="l00375"></a><span class="lineno"> 375</span>  ite = ite.<a class="code" href="group__ExprPkg.html#ga5532cabad6f699c57da32a8db65a38da">iteExpr</a>(d_em->trueExpr(), kids[k-2]);</div>
<div class="line"><a name="l00376"></a><span class="lineno"> 376</span>  }</div>
<div class="line"><a name="l00377"></a><span class="lineno"> 377</span>  }</div>
<div class="line"><a name="l00378"></a><span class="lineno"> 378</span>  <span class="keywordflow">return</span> newRWTheorem(e, ite, <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l00379"></a><span class="lineno"> 379</span> }</div>
<div class="line"><a name="l00380"></a><span class="lineno"> 380</span> </div>
<div class="line"><a name="l00381"></a><span class="lineno"> 381</span> <span class="comment">// ==> And(e) == ITE(e[1], e[0], FALSE)</span></div>
<div class="line"><a name="l00382"></a><span class="lineno"> 382</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a></div>
<div class="line"><a name="l00383"></a><span class="lineno"><a class="code" href="classCVC3_1_1CoreTheoremProducer.html#aaa435d07458188d1380e42d51c70b419"> 383</a></span> <a class="code" href="classCVC3_1_1CoreTheoremProducer.html#aaa435d07458188d1380e42d51c70b419" title="==> And(e) == ITE(e[1], e[0], FALSE)">CoreTheoremProducer::AndToIte</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="l00384"></a><span class="lineno"> 384</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)</div>
<div class="line"><a name="l00385"></a><span class="lineno"> 385</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#ga383260cf4f8919728e2712e6e11f21fa">isAnd</a>(),</div>
<div class="line"><a name="l00386"></a><span class="lineno"> 386</span>  <span class="stringliteral">"AndToIte: precondition violated: "</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="l00387"></a><span class="lineno"> 387</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00388"></a><span class="lineno"> 388</span>  <span class="keywordflow">if</span>(withProof()) {</div>
<div class="line"><a name="l00389"></a><span class="lineno"> 389</span>  pf = newPf(<span class="stringliteral">"AndToIte"</span>, e);</div>
<div class="line"><a name="l00390"></a><span class="lineno"> 390</span>  }</div>
<div class="line"><a name="l00391"></a><span class="lineno"> 391</span>  <span class="keyword">const</span> vector<Expr>& kids = e.<a class="code" href="group__ExprPkg.html#ga1e18ae89889e781591eb2874a4196b73">getKids</a>();</div>
<div class="line"><a name="l00392"></a><span class="lineno"> 392</span>  <span class="keywordtype">unsigned</span> k(kids.size());</div>
<div class="line"><a name="l00393"></a><span class="lineno"> 393</span>  <span class="keywordflow">if</span>(k==0)</div>
<div class="line"><a name="l00394"></a><span class="lineno"> 394</span>  <span class="keywordflow">return</span> newRWTheorem(e, d_em->trueExpr(), <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l00395"></a><span class="lineno"> 395</span>  <span class="keywordflow">if</span>(k==1)</div>
<div class="line"><a name="l00396"></a><span class="lineno"> 396</span>  <span class="keywordflow">return</span> newRWTheorem(e, e[0], <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l00397"></a><span class="lineno"> 397</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> ite(kids[k-1]);</div>
<div class="line"><a name="l00398"></a><span class="lineno"> 398</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)</div>
<div class="line"><a name="l00399"></a><span class="lineno"> 399</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(!ite.<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#ab5fe00c99ee91f369e3339b26bab0bf7">isNull</a>(),</div>
<div class="line"><a name="l00400"></a><span class="lineno"> 400</span>  <span class="stringliteral">"AndToIte: kid "</span> + <a class="code" href="namespaceCVC3.html#af69618103f1f0f2eadada0796a2a940c">int2string</a>(k-1) + <span class="stringliteral">" has no type: "</span></div>
<div class="line"><a name="l00401"></a><span class="lineno"> 401</span>  + (ite).toString());</div>
<div class="line"><a name="l00402"></a><span class="lineno"> 402</span>  <span class="keywordflow">for</span> (; k > 1; k--) {</div>
<div class="line"><a name="l00403"></a><span class="lineno"> 403</span>  <span class="keywordflow">if</span> (kids[k-2].isFalse()) {</div>
<div class="line"><a name="l00404"></a><span class="lineno"> 404</span>  ite = d_em->falseExpr();</div>
<div class="line"><a name="l00405"></a><span class="lineno"> 405</span>  <span class="keywordflow">break</span>;</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>  <span class="keywordflow">else</span> <span class="keywordflow">if</span>(kids[k-2].isTrue()) {</div>
<div class="line"><a name="l00408"></a><span class="lineno"> 408</span>  <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00409"></a><span class="lineno"> 409</span>  }</div>
<div class="line"><a name="l00410"></a><span class="lineno"> 410</span>  <span class="keywordflow">else</span>{</div>
<div class="line"><a name="l00411"></a><span class="lineno"> 411</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)</div>
<div class="line"><a name="l00412"></a><span class="lineno"> 412</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(!kids[k-2].getType().isNull(),</div>
<div class="line"><a name="l00413"></a><span class="lineno"> 413</span>  <span class="stringliteral">"AndToIte: kid "</span> + <a class="code" href="namespaceCVC3.html#af69618103f1f0f2eadada0796a2a940c">int2string</a>(k-2) + <span class="stringliteral">" has no type: "</span></div>
<div class="line"><a name="l00414"></a><span class="lineno"> 414</span>  + (kids[k-2]).toString());</div>
<div class="line"><a name="l00415"></a><span class="lineno"> 415</span>  ite = ite.<a class="code" href="group__ExprPkg.html#ga5532cabad6f699c57da32a8db65a38da">iteExpr</a>(kids[k-2], d_em->falseExpr());</div>
<div class="line"><a name="l00416"></a><span class="lineno"> 416</span>  }</div>
<div class="line"><a name="l00417"></a><span class="lineno"> 417</span>  }</div>
<div class="line"><a name="l00418"></a><span class="lineno"> 418</span>  <span class="keywordflow">return</span> newRWTheorem(e, ite, <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l00419"></a><span class="lineno"> 419</span> }</div>
<div class="line"><a name="l00420"></a><span class="lineno"> 420</span> </div>
<div class="line"><a name="l00421"></a><span class="lineno"> 421</span> <span class="comment">// ==> IFF(a,b) == ITE(a, b, !b)</span></div>
<div class="line"><a name="l00422"></a><span class="lineno"> 422</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a></div>
<div class="line"><a name="l00423"></a><span class="lineno"><a class="code" href="classCVC3_1_1CoreTheoremProducer.html#af0a98459d73dbd5b89582d803f304aac"> 423</a></span> <a class="code" href="classCVC3_1_1CoreTheoremProducer.html#af0a98459d73dbd5b89582d803f304aac" title="==> IFF(a,b) == ITE(a, b, !b)">CoreTheoremProducer::IffToIte</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="l00424"></a><span class="lineno"> 424</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)</div>
<div class="line"><a name="l00425"></a><span class="lineno"> 425</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#gabe385fb97505cccb75702378511c5375">isIff</a>() && e[0].<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[1].<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="l00426"></a><span class="lineno"> 426</span>  <span class="stringliteral">"IffToIte: precondition violated: "</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="l00427"></a><span class="lineno"> 427</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00428"></a><span class="lineno"> 428</span>  <span class="keywordflow">if</span>(e[0] == e[1]) <span class="keywordflow">return</span> d_core->getCommonRules()->reflexivityRule(e);</div>
<div class="line"><a name="l00429"></a><span class="lineno"> 429</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> ite(e[0].iteExpr(e[1], e[1].iteExpr(d_em->falseExpr(),</div>
<div class="line"><a name="l00430"></a><span class="lineno"> 430</span>  d_em->trueExpr())));</div>
<div class="line"><a name="l00431"></a><span class="lineno"> 431</span>  <span class="keywordflow">if</span>(withProof()) {</div>
<div class="line"><a name="l00432"></a><span class="lineno"> 432</span>  pf = newPf(<span class="stringliteral">"iff_to_ite"</span>, e);</div>
<div class="line"><a name="l00433"></a><span class="lineno"> 433</span>  }</div>
<div class="line"><a name="l00434"></a><span class="lineno"> 434</span>  <span class="keywordflow">return</span> newRWTheorem(e, ite, <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf); </div>
<div class="line"><a name="l00435"></a><span class="lineno"> 435</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">// ==> IMPLIES(a,b) == ITE(a, b, TRUE)</span></div>
<div class="line"><a name="l00438"></a><span class="lineno"> 438</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a></div>
<div class="line"><a name="l00439"></a><span class="lineno"><a class="code" href="classCVC3_1_1CoreTheoremProducer.html#aa5abdd3bfe669a3a0b28a92d28e8958a"> 439</a></span> <a class="code" href="classCVC3_1_1CoreTheoremProducer.html#aa5abdd3bfe669a3a0b28a92d28e8958a" title="==> IMPLIES(a,b) == ITE(a, b, TRUE)">CoreTheoremProducer::ImpToIte</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="l00440"></a><span class="lineno"> 440</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)</div>
<div class="line"><a name="l00441"></a><span class="lineno"> 441</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#ga9067c706c6454ea1761ace7d7837af46">isImpl</a>() && e[0].<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[1].<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="l00442"></a><span class="lineno"> 442</span>  <span class="stringliteral">"ImpToIte: precondition violated: "</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="l00443"></a><span class="lineno"> 443</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00444"></a><span class="lineno"> 444</span>  <span class="keywordflow">if</span>(e[0] == e[1]) <span class="keywordflow">return</span> d_core->getCommonRules()->reflexivityRule(e);</div>
<div class="line"><a name="l00445"></a><span class="lineno"> 445</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> ite(e[0].iteExpr(e[1], d_em->trueExpr()));</div>
<div class="line"><a name="l00446"></a><span class="lineno"> 446</span>  <span class="keywordflow">if</span>(withProof()) {</div>
<div class="line"><a name="l00447"></a><span class="lineno"> 447</span>  pf = newPf(<span class="stringliteral">"imp_to_ite"</span>, e);</div>
<div class="line"><a name="l00448"></a><span class="lineno"> 448</span>  }</div>
<div class="line"><a name="l00449"></a><span class="lineno"> 449</span>  <span class="keywordflow">return</span> newRWTheorem(e, ite, <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf); </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> </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> <span class="comment">// ==> ITE(e, FALSE, TRUE) IFF NOT(e)</span></div>
<div class="line"><a name="l00454"></a><span class="lineno"> 454</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a></div>
<div class="line"><a name="l00455"></a><span class="lineno"><a class="code" href="classCVC3_1_1CoreTheoremProducer.html#a27d39117a5ede71d9c460b0232bdd469"> 455</a></span> <a class="code" href="classCVC3_1_1CoreTheoremProducer.html#a27d39117a5ede71d9c460b0232bdd469" title="==> ITE(e, FALSE, TRUE) IFF NOT(e)">CoreTheoremProducer::rewriteIteToNot</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="l00456"></a><span class="lineno"> 456</span> {</div>
<div class="line"><a name="l00457"></a><span class="lineno"> 457</span>  <span class="keywordflow">if</span> (<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)</div>
<div class="line"><a name="l00458"></a><span class="lineno"> 458</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].<a class="code" href="group__ExprPkg.html#ga6173f64b22cba76472cd0c814bbf6dae">isFalse</a>() && e[2].<a class="code" href="group__ExprPkg.html#gadf8596df73fa69ff8e6a22b9321f5c34">isTrue</a>(),</div>
<div class="line"><a name="l00459"></a><span class="lineno"> 459</span>  <span class="stringliteral">"rewriteIteToNot: "</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="l00460"></a><span class="lineno"> 460</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00461"></a><span class="lineno"> 461</span>  <span class="keywordflow">if</span> (withProof()) pf = newPf(<span class="stringliteral">"rewrite_ite_to_not"</span>, e);</div>
<div class="line"><a name="l00462"></a><span class="lineno"> 462</span>  <span class="keywordflow">return</span> newRWTheorem(e, e[0].negate(), <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l00463"></a><span class="lineno"> 463</span> }</div>
<div class="line"><a name="l00464"></a><span class="lineno"> 464</span> </div>
<div class="line"><a name="l00465"></a><span class="lineno"> 465</span> <span class="comment">// ==> ITE(a, TRUE, b) IFF OR(a, b)</span></div>
<div class="line"><a name="l00466"></a><span class="lineno"> 466</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a></div>
<div class="line"><a name="l00467"></a><span class="lineno"><a class="code" href="classCVC3_1_1CoreTheoremProducer.html#a2db95a382b0141d9a5098e9ca9ddd0f7"> 467</a></span> <a class="code" href="classCVC3_1_1CoreTheoremProducer.html#a2db95a382b0141d9a5098e9ca9ddd0f7" title="==> ITE(a, TRUE, b) IFF OR(a, b)">CoreTheoremProducer::rewriteIteToOr</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="l00468"></a><span class="lineno"> 468</span> {</div>
<div class="line"><a name="l00469"></a><span class="lineno"> 469</span>  <span class="keywordflow">if</span> (<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)</div>
<div class="line"><a name="l00470"></a><span class="lineno"> 470</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].<a class="code" href="group__ExprPkg.html#gadf8596df73fa69ff8e6a22b9321f5c34">isTrue</a>(),</div>
<div class="line"><a name="l00471"></a><span class="lineno"> 471</span>  <span class="stringliteral">"rewriteIteToOr: "</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="l00472"></a><span class="lineno"> 472</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00473"></a><span class="lineno"> 473</span>  <span class="keywordflow">if</span> (withProof()) pf = newPf(<span class="stringliteral">"rewrite_ite_to_or"</span>, e);</div>
<div class="line"><a name="l00474"></a><span class="lineno"> 474</span>  <span class="keywordflow">return</span> newRWTheorem(e, e[0] || e[2], <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l00475"></a><span class="lineno"> 475</span> }</div>
<div class="line"><a name="l00476"></a><span class="lineno"> 476</span> </div>
<div class="line"><a name="l00477"></a><span class="lineno"> 477</span> <span class="comment">// ==> ITE(a, b, FALSE) IFF AND(a, b)</span></div>
<div class="line"><a name="l00478"></a><span class="lineno"> 478</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a></div>
<div class="line"><a name="l00479"></a><span class="lineno"><a class="code" href="classCVC3_1_1CoreTheoremProducer.html#ae681f89828ece60f9725c5696204cd72"> 479</a></span> <a class="code" href="classCVC3_1_1CoreTheoremProducer.html#ae681f89828ece60f9725c5696204cd72" title="==> ITE(a, b, FALSE) IFF AND(a, b)">CoreTheoremProducer::rewriteIteToAnd</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="l00480"></a><span class="lineno"> 480</span> {</div>
<div class="line"><a name="l00481"></a><span class="lineno"> 481</span>  <span class="keywordflow">if</span> (<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)</div>
<div class="line"><a name="l00482"></a><span class="lineno"> 482</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[2].<a class="code" href="group__ExprPkg.html#ga6173f64b22cba76472cd0c814bbf6dae">isFalse</a>(),</div>
<div class="line"><a name="l00483"></a><span class="lineno"> 483</span>  <span class="stringliteral">"rewriteIteToAnd: "</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="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>  <span class="keywordflow">if</span> (withProof()) pf = newPf(<span class="stringliteral">"rewrite_ite_to_and"</span>, e);</div>
<div class="line"><a name="l00486"></a><span class="lineno"> 486</span>  <span class="keywordflow">return</span> newRWTheorem(e, e[0] && e[1], <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l00487"></a><span class="lineno"> 487</span> }</div>
<div class="line"><a name="l00488"></a><span class="lineno"> 488</span> </div>
<div class="line"><a name="l00489"></a><span class="lineno"> 489</span> <span class="comment">// ==> ITE(a, b, !b) IFF IFF(a, b)</span></div>
<div class="line"><a name="l00490"></a><span class="lineno"> 490</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a></div>
<div class="line"><a name="l00491"></a><span class="lineno"><a class="code" href="classCVC3_1_1CoreTheoremProducer.html#abba61fa631a3e3fd6ae8761754f01c72"> 491</a></span> <a class="code" href="classCVC3_1_1CoreTheoremProducer.html#abba61fa631a3e3fd6ae8761754f01c72" title="==> ITE(a, b, !b) IFF IFF(a, b)">CoreTheoremProducer::rewriteIteToIff</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="l00492"></a><span class="lineno"> 492</span> {</div>
<div class="line"><a name="l00493"></a><span class="lineno"> 493</span>  <span class="keywordflow">if</span> (<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)</div>
<div class="line"><a name="l00494"></a><span class="lineno"> 494</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].<a class="code" href="group__ExprPkg.html#gab1ce461dc931af73bf04e88c8d37dcbc">negate</a>(),</div>
<div class="line"><a name="l00495"></a><span class="lineno"> 495</span>  <span class="stringliteral">"rewriteIteToIff: "</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="l00496"></a><span class="lineno"> 496</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00497"></a><span class="lineno"> 497</span>  <span class="keywordflow">if</span> (withProof()) pf = newPf(<span class="stringliteral">"rewrite_ite_to_iff"</span>, e);</div>
<div class="line"><a name="l00498"></a><span class="lineno"> 498</span>  <span class="keywordflow">return</span> newRWTheorem(e, e[0].iffExpr(e[1]), <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l00499"></a><span class="lineno"> 499</span> }</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> <span class="comment">// ==> ITE(a, b, TRUE) IFF IMPLIES(a, b)</span></div>
<div class="line"><a name="l00502"></a><span class="lineno"> 502</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a></div>
<div class="line"><a name="l00503"></a><span class="lineno"><a class="code" href="classCVC3_1_1CoreTheoremProducer.html#af0468c432ee5bfc5f82675f4b50e2002"> 503</a></span> <a class="code" href="classCVC3_1_1CoreTheoremProducer.html#af0468c432ee5bfc5f82675f4b50e2002" title="==> ITE(a, b, TRUE) IFF IMPLIES(a, b)">CoreTheoremProducer::rewriteIteToImp</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="l00504"></a><span class="lineno"> 504</span> {</div>
<div class="line"><a name="l00505"></a><span class="lineno"> 505</span>  <span class="keywordflow">if</span> (<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)</div>
<div class="line"><a name="l00506"></a><span class="lineno"> 506</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[2].<a class="code" href="group__ExprPkg.html#gadf8596df73fa69ff8e6a22b9321f5c34">isTrue</a>(),</div>
<div class="line"><a name="l00507"></a><span class="lineno"> 507</span>  <span class="stringliteral">"rewriteIteToImp: "</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="l00508"></a><span class="lineno"> 508</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00509"></a><span class="lineno"> 509</span>  <span class="keywordflow">if</span> (withProof()) pf = newPf(<span class="stringliteral">"rewrite_ite_to_imp"</span>, e);</div>
<div class="line"><a name="l00510"></a><span class="lineno"> 510</span>  <span class="keywordflow">return</span> newRWTheorem(e, e[0].impExpr(e[1]), <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l00511"></a><span class="lineno"> 511</span> }</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> </div>
<div class="line"><a name="l00514"></a><span class="lineno"> 514</span> <span class="comment">// ==> ITE(a, b(a), c(a)) IFF ITE(a, b(TRUE), c(FALSE))</span></div>
<div class="line"><a name="l00515"></a><span class="lineno"> 515</span> <span class="comment">// ==> ITE(x = y, b, c) IFF ITE(x = y b[x/y], c[x = y/FALSE])</span></div>
<div class="line"><a name="l00516"></a><span class="lineno"><a class="code" href="classCVC3_1_1CoreTheoremProducer.html#acc27c290c53fdaab6977d43d765b10e3"> 516</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CoreTheoremProducer.html#acc27c290c53fdaab6977d43d765b10e3" title="==> ITE(a, b(a), c(a)) IFF ITE(a, b(TRUE), c(FALSE))">CoreTheoremProducer::rewriteIteCond</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="l00517"></a><span class="lineno"> 517</span> {</div>
<div class="line"><a name="l00518"></a><span class="lineno"> 518</span>  <span class="keywordflow">if</span> (<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)</div>
<div class="line"><a name="l00519"></a><span class="lineno"> 519</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.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>()==3, <span class="stringliteral">"rewriteIteCond: "</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="l00520"></a><span class="lineno"> 520</span> </div>
<div class="line"><a name="l00521"></a><span class="lineno"> 521</span>  vector<Expr> oldTerms, newTerms;</div>
<div class="line"><a name="l00522"></a><span class="lineno"> 522</span> <span class="comment">// // if (e[0].isEq()) {</span></div>
<div class="line"><a name="l00523"></a><span class="lineno"> 523</span> <span class="comment">// // oldTerms.push_back(e[0][0]);</span></div>
<div class="line"><a name="l00524"></a><span class="lineno"> 524</span> <span class="comment">// // newTerms.push_back(e[0][1]);</span></div>
<div class="line"><a name="l00525"></a><span class="lineno"> 525</span> <span class="comment">// // }</span></div>
<div class="line"><a name="l00526"></a><span class="lineno"> 526</span> <span class="comment">// // else {</span></div>
<div class="line"><a name="l00527"></a><span class="lineno"> 527</span>  oldTerms.push_back(e[0]);</div>
<div class="line"><a name="l00528"></a><span class="lineno"> 528</span>  newTerms.push_back(d_em->trueExpr());</div>
<div class="line"><a name="l00529"></a><span class="lineno"> 529</span> <span class="comment">// }</span></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>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> e1(e[1].substExpr(oldTerms, newTerms));</div>
<div class="line"><a name="l00532"></a><span class="lineno"> 532</span>  oldTerms[0] = e[0];</div>
<div class="line"><a name="l00533"></a><span class="lineno"> 533</span>  newTerms[0] = d_em->falseExpr();</div>
<div class="line"><a name="l00534"></a><span class="lineno"> 534</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> e2(e[2].substExpr(oldTerms, newTerms));</div>
<div class="line"><a name="l00535"></a><span class="lineno"> 535</span> </div>
<div class="line"><a name="l00536"></a><span class="lineno"> 536</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00537"></a><span class="lineno"> 537</span>  <span class="keywordflow">if</span> (withProof()) pf = newPf(<span class="stringliteral">"rewrite_ite_cond"</span>, e);</div>
<div class="line"><a name="l00538"></a><span class="lineno"> 538</span>  <span class="keywordflow">return</span> newRWTheorem(e, e[0].iteExpr(e1, e2), <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</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> </div>
<div class="line"><a name="l00541"></a><span class="lineno"> 541</span> </div>
<div class="line"><a name="l00542"></a><span class="lineno"> 542</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a></div>
<div class="line"><a name="l00543"></a><span class="lineno"><a class="code" href="classCVC3_1_1CoreTheoremProducer.html#a93299fd86567941880c6566e1d3af6b8"> 543</a></span> <a class="code" href="classCVC3_1_1CoreTheoremProducer.html#a93299fd86567941880c6566e1d3af6b8" title="((a|b)<=>(a|c))<=>(a|(b<=>c)); takes ((a|b)<=>(a|c)) as 'iff'">CoreTheoremProducer::iffOrDistrib</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& iff) {</div>
<div class="line"><a name="l00544"></a><span class="lineno"> 544</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {</div>
<div class="line"><a name="l00545"></a><span class="lineno"> 545</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(iff.<a class="code" href="group__ExprPkg.html#gabe385fb97505cccb75702378511c5375">isIff</a>() && iff.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>()==2, <span class="stringliteral">"iffOrDistrib("</span></div>
<div class="line"><a name="l00546"></a><span class="lineno"> 546</span>  +iff.<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="l00547"></a><span class="lineno"> 547</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(iff[0].isOr() && iff[0].arity()==2, <span class="stringliteral">"iffOrDistrib("</span></div>
<div class="line"><a name="l00548"></a><span class="lineno"> 548</span>  +iff.<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="l00549"></a><span class="lineno"> 549</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(iff[1].isOr() && iff[1].arity()==2, <span class="stringliteral">"iffOrDistrib("</span></div>
<div class="line"><a name="l00550"></a><span class="lineno"> 550</span>  +iff.<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="l00551"></a><span class="lineno"> 551</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(iff[0][0]==iff[1][0], <span class="stringliteral">"iffOrDistrib("</span></div>
<div class="line"><a name="l00552"></a><span class="lineno"> 552</span>  +iff.<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="l00553"></a><span class="lineno"> 553</span>  }</div>
<div class="line"><a name="l00554"></a><span class="lineno"> 554</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& a = iff[0][0];</div>
<div class="line"><a name="l00555"></a><span class="lineno"> 555</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& b = iff[0][1];</div>
<div class="line"><a name="l00556"></a><span class="lineno"> 556</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& c = iff[1][1];</div>
<div class="line"><a name="l00557"></a><span class="lineno"> 557</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00558"></a><span class="lineno"> 558</span>  <span class="keywordflow">if</span>(withProof())</div>
<div class="line"><a name="l00559"></a><span class="lineno"> 559</span>  pf = newPf(<span class="stringliteral">"iff_or_distrib"</span>, iff);</div>
<div class="line"><a name="l00560"></a><span class="lineno"> 560</span>  <span class="keywordflow">return</span> newRWTheorem(iff, (a || (b.<a class="code" href="group__ExprPkg.html#gaae017ca8e68af655ba285c985dd9fba5">iffExpr</a>(c))), <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l00561"></a><span class="lineno"> 561</span> }</div>
<div class="line"><a name="l00562"></a><span class="lineno"> 562</span> </div>
<div class="line"><a name="l00563"></a><span class="lineno"> 563</span> </div>
<div class="line"><a name="l00564"></a><span class="lineno"> 564</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a></div>
<div class="line"><a name="l00565"></a><span class="lineno"><a class="code" href="classCVC3_1_1CoreTheoremProducer.html#aecd467f33f9bcb736eadfa77f1a517aa"> 565</a></span> <a class="code" href="classCVC3_1_1CoreTheoremProducer.html#aecd467f33f9bcb736eadfa77f1a517aa" title="((a&b)<=>(a&c))<=>(!a|(b<=>c)); takes ((a&b)<=>(a&c)) as 'iff'">CoreTheoremProducer::iffAndDistrib</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& iff) {</div>
<div class="line"><a name="l00566"></a><span class="lineno"> 566</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {</div>
<div class="line"><a name="l00567"></a><span class="lineno"> 567</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(iff.<a class="code" href="group__ExprPkg.html#gabe385fb97505cccb75702378511c5375">isIff</a>() && iff.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>()==2, <span class="stringliteral">"iffAndDistrib("</span></div>
<div class="line"><a name="l00568"></a><span class="lineno"> 568</span>  +iff.<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="l00569"></a><span class="lineno"> 569</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(iff[0].isAnd() && iff[0].arity()==2, <span class="stringliteral">"iffAndDistrib("</span></div>
<div class="line"><a name="l00570"></a><span class="lineno"> 570</span>  +iff.<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="l00571"></a><span class="lineno"> 571</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(iff[1].isAnd() && iff[1].arity()==2, <span class="stringliteral">"iffAndDistrib("</span></div>
<div class="line"><a name="l00572"></a><span class="lineno"> 572</span>  +iff.<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="l00573"></a><span class="lineno"> 573</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(iff[0][0]==iff[1][0], <span class="stringliteral">"iffOrDistrib("</span></div>
<div class="line"><a name="l00574"></a><span class="lineno"> 574</span>  +iff.<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="l00575"></a><span class="lineno"> 575</span>  }</div>
<div class="line"><a name="l00576"></a><span class="lineno"> 576</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& a = iff[0][0];</div>
<div class="line"><a name="l00577"></a><span class="lineno"> 577</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& b = iff[0][1];</div>
<div class="line"><a name="l00578"></a><span class="lineno"> 578</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& c = iff[1][1];</div>
<div class="line"><a name="l00579"></a><span class="lineno"> 579</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00580"></a><span class="lineno"> 580</span>  <span class="keywordflow">if</span>(withProof())</div>
<div class="line"><a name="l00581"></a><span class="lineno"> 581</span>  pf = newPf(<span class="stringliteral">"iff_and_distrib"</span>, iff);</div>
<div class="line"><a name="l00582"></a><span class="lineno"> 582</span>  <span class="keywordflow">return</span> newRWTheorem(iff, (!a || (b.<a class="code" href="group__ExprPkg.html#gaae017ca8e68af655ba285c985dd9fba5">iffExpr</a>(c))), <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l00583"></a><span class="lineno"> 583</span> }</div>
<div class="line"><a name="l00584"></a><span class="lineno"> 584</span> </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="comment">// |- op(ITE(cond,a,b)) =/<=> ITE(cond,op(a),op(b))</span></div>
<div class="line"><a name="l00587"></a><span class="lineno"> 587</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a></div>
<div class="line"><a name="l00588"></a><span class="lineno"><a class="code" href="classCVC3_1_1CoreTheoremProducer.html#ac4ef57871856386e38e514d65e3b2c5e"> 588</a></span> <a class="code" href="classCVC3_1_1CoreTheoremProducer.html#ac4ef57871856386e38e514d65e3b2c5e" title="|- op(ITE(cond,a,b)) =/<=> ITE(cond,op(a),op(b))">CoreTheoremProducer::ifLiftUnaryRule</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="l00589"></a><span class="lineno"> 589</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {</div>
<div class="line"><a name="l00590"></a><span class="lineno"> 590</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].<a class="code" href="group__ExprPkg.html#gaef13fa4752a1fb28e129a1efd0e26f01">isITE</a>(),</div>
<div class="line"><a name="l00591"></a><span class="lineno"> 591</span>  <span class="stringliteral">"CoreTheoremProducer::ifLiftUnaryRule("</span></div>
<div class="line"><a name="l00592"></a><span class="lineno"> 592</span>  <span class="stringliteral">"e = "</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="l00593"></a><span class="lineno"> 593</span>  }</div>
<div class="line"><a name="l00594"></a><span class="lineno"> 594</span>  <a class="code" href="classCVC3_1_1Op.html">Op</a> op(e.<a class="code" href="group__ExprPkg.html#gace479f04faca399219496195152f7806" title="Get operator from expression.">getOp</a>());</div>
<div class="line"><a name="l00595"></a><span class="lineno"> 595</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& ite = e[0];</div>
<div class="line"><a name="l00596"></a><span class="lineno"> 596</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& cond = ite[0];</div>
<div class="line"><a name="l00597"></a><span class="lineno"> 597</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& t1 = ite[1];</div>
<div class="line"><a name="l00598"></a><span class="lineno"> 598</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& t2 = ite[2];</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>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {</div>
<div class="line"><a name="l00601"></a><span class="lineno"> 601</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(cond.<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="l00602"></a><span class="lineno"> 602</span>  <span class="stringliteral">"CoreTheoremProducer::ifLiftUnaryRule("</span></div>
<div class="line"><a name="l00603"></a><span class="lineno"> 603</span>  <span class="stringliteral">"e = "</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="l00604"></a><span class="lineno"> 604</span>  } </div>
<div class="line"><a name="l00605"></a><span class="lineno"> 605</span> </div>
<div class="line"><a name="l00606"></a><span class="lineno"> 606</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> e1 = <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(op, t1);</div>
<div class="line"><a name="l00607"></a><span class="lineno"> 607</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> e2 = <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(op, t2);</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>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> resultITE = cond.<a class="code" href="group__ExprPkg.html#ga5532cabad6f699c57da32a8db65a38da">iteExpr</a>(e1, e2);</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>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00612"></a><span class="lineno"> 612</span>  <span class="keywordflow">if</span> (withProof())</div>
<div class="line"><a name="l00613"></a><span class="lineno"> 613</span>  pf = newPf(<span class="stringliteral">"if_lift_unary_rule"</span>, e);</div>
<div class="line"><a name="l00614"></a><span class="lineno"> 614</span>  <span class="keywordflow">return</span> newRWTheorem(e, resultITE, <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l00615"></a><span class="lineno"> 615</span> }</div>
<div class="line"><a name="l00616"></a><span class="lineno"> 616</span> </div>
<div class="line"><a name="l00617"></a><span class="lineno"> 617</span> </div>
<div class="line"><a name="l00618"></a><span class="lineno"> 618</span> <span class="comment">// (a & b) <=> a & b[a/true]; takes the index of a and rewrites all</span></div>
<div class="line"><a name="l00619"></a><span class="lineno"> 619</span> <span class="comment">// the other conjuncts.</span></div>
<div class="line"><a name="l00620"></a><span class="lineno"> 620</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a></div>
<div class="line"><a name="l00621"></a><span class="lineno"><a class="code" href="classCVC3_1_1CoreTheoremProducer.html#a8c67942a0f72ee11abe27c992e0833c1"> 621</a></span> <a class="code" href="classCVC3_1_1CoreTheoremProducer.html#a8c67942a0f72ee11abe27c992e0833c1" title="(a & b) <=> a & b[a/true]; takes the index of a">CoreTheoremProducer::rewriteAndSubterms</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> idx) {</div>
<div class="line"><a name="l00622"></a><span class="lineno"> 622</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {</div>
<div class="line"><a name="l00623"></a><span class="lineno"> 623</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#ga383260cf4f8919728e2712e6e11f21fa">isAnd</a>() && 0 <= idx && idx < e.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>(),</div>
<div class="line"><a name="l00624"></a><span class="lineno"> 624</span>  <span class="stringliteral">"rewriteAndSubterms("</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="l00625"></a><span class="lineno"> 625</span>  +<span class="stringliteral">", idx="</span>+<a class="code" href="namespaceCVC3.html#af69618103f1f0f2eadada0796a2a940c">int2string</a>(idx)</div>
<div class="line"><a name="l00626"></a><span class="lineno"> 626</span>  +<span class="stringliteral">"):\n Expected an AND and a valid index of a child"</span>);</div>
<div class="line"><a name="l00627"></a><span class="lineno"> 627</span>  }</div>
<div class="line"><a name="l00628"></a><span class="lineno"> 628</span>  vector<Expr> kids;</div>
<div class="line"><a name="l00629"></a><span class="lineno"> 629</span>  <a class="code" href="classCVC3_1_1ExprHashMap.html">ExprHashMap<Expr></a> subst;</div>
<div class="line"><a name="l00630"></a><span class="lineno"> 630</span>  subst.<a class="code" href="classCVC3_1_1ExprHashMap.html#a7fb3e24bb67239243212af626cc2f976">insert</a>(e[idx], d_em->trueExpr());</div>
<div class="line"><a name="l00631"></a><span class="lineno"> 631</span>  <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i=0, iend=e.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>(); i<iend; ++i) {</div>
<div class="line"><a name="l00632"></a><span class="lineno"> 632</span>  <span class="keywordflow">if</span>(i==idx)</div>
<div class="line"><a name="l00633"></a><span class="lineno"> 633</span>  kids.push_back(e[i]);</div>
<div class="line"><a name="l00634"></a><span class="lineno"> 634</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00635"></a><span class="lineno"> 635</span>  kids.push_back(e[i].substExpr(subst));</div>
<div class="line"><a name="l00636"></a><span class="lineno"> 636</span>  }</div>
<div class="line"><a name="l00637"></a><span class="lineno"> 637</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00638"></a><span class="lineno"> 638</span>  <span class="keywordflow">if</span>(withProof())</div>
<div class="line"><a name="l00639"></a><span class="lineno"> 639</span>  pf = newPf(<span class="stringliteral">"rewrite_and_subterms"</span>, e, d_em->newRatExpr(idx));</div>
<div class="line"><a name="l00640"></a><span class="lineno"> 640</span>  <span class="keywordflow">return</span> newRWTheorem(e, <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), <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l00641"></a><span class="lineno"> 641</span> }</div>
<div class="line"><a name="l00642"></a><span class="lineno"> 642</span> </div>
<div class="line"><a name="l00643"></a><span class="lineno"> 643</span> </div>
<div class="line"><a name="l00644"></a><span class="lineno"> 644</span> <span class="comment">// (a | b) <=> a | b[a/false]; takes the index of a and rewrites all</span></div>
<div class="line"><a name="l00645"></a><span class="lineno"> 645</span> <span class="comment">// the other disjuncts.</span></div>
<div class="line"><a name="l00646"></a><span class="lineno"> 646</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a></div>
<div class="line"><a name="l00647"></a><span class="lineno"><a class="code" href="classCVC3_1_1CoreTheoremProducer.html#ae6b1fd56b11dbe24218cd2f5c74518c9"> 647</a></span> <a class="code" href="classCVC3_1_1CoreTheoremProducer.html#ae6b1fd56b11dbe24218cd2f5c74518c9" title="(a | b) <=> a | b[a/false]; takes the index of a">CoreTheoremProducer::rewriteOrSubterms</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> idx) {</div>
<div class="line"><a name="l00648"></a><span class="lineno"> 648</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {</div>
<div class="line"><a name="l00649"></a><span class="lineno"> 649</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#ga36f1eff876808586db368dc1b6da5f56">isOr</a>() && 0 <= idx && idx < e.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>(),</div>
<div class="line"><a name="l00650"></a><span class="lineno"> 650</span>  <span class="stringliteral">"rewriteOrSubterms("</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="l00651"></a><span class="lineno"> 651</span>  +<span class="stringliteral">", idx="</span>+<a class="code" href="namespaceCVC3.html#af69618103f1f0f2eadada0796a2a940c">int2string</a>(idx)</div>
<div class="line"><a name="l00652"></a><span class="lineno"> 652</span>  +<span class="stringliteral">"):\n Expected an OR and a valid index of a child"</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>  vector<Expr> kids;</div>
<div class="line"><a name="l00655"></a><span class="lineno"> 655</span>  <a class="code" href="classCVC3_1_1ExprHashMap.html">ExprHashMap<Expr></a> subst;</div>
<div class="line"><a name="l00656"></a><span class="lineno"> 656</span>  subst.<a class="code" href="classCVC3_1_1ExprHashMap.html#a7fb3e24bb67239243212af626cc2f976">insert</a>(e[idx], d_em->falseExpr());</div>
<div class="line"><a name="l00657"></a><span class="lineno"> 657</span>  <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i=0, iend=e.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>(); i<iend; ++i) {</div>
<div class="line"><a name="l00658"></a><span class="lineno"> 658</span>  <span class="keywordflow">if</span>(i==idx)</div>
<div class="line"><a name="l00659"></a><span class="lineno"> 659</span>  kids.push_back(e[i]);</div>
<div class="line"><a name="l00660"></a><span class="lineno"> 660</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00661"></a><span class="lineno"> 661</span>  kids.push_back(e[i].substExpr(subst));</div>
<div class="line"><a name="l00662"></a><span class="lineno"> 662</span>  }</div>
<div class="line"><a name="l00663"></a><span class="lineno"> 663</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00664"></a><span class="lineno"> 664</span>  <span class="keywordflow">if</span>(withProof())</div>
<div class="line"><a name="l00665"></a><span class="lineno"> 665</span>  pf = newPf(<span class="stringliteral">"rewrite_or_subterms"</span>, e, d_em->newRatExpr(idx));</div>
<div class="line"><a name="l00666"></a><span class="lineno"> 666</span>  <span class="keywordflow">return</span> newRWTheorem(e, <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), <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l00667"></a><span class="lineno"> 667</span> }</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> </div>
<div class="line"><a name="l00670"></a><span class="lineno"><a class="code" href="classCVC3_1_1CoreTheoremProducer.html#a1990709421517a01d824217eed8d1021"> 670</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CoreTheoremProducer.html#a1990709421517a01d824217eed8d1021" title="Temporary cheat for building theorems.">CoreTheoremProducer::dummyTheorem</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="l00671"></a><span class="lineno"> 671</span> {</div>
<div class="line"><a name="l00672"></a><span class="lineno"> 672</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf; </div>
<div class="line"><a name="l00673"></a><span class="lineno"> 673</span>  <span class="keywordflow">return</span> newTheorem(e, <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l00674"></a><span class="lineno"> 674</span> }</div>
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