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<section id="skolem-identifiers">
<h1>Skolem Identifiers<a class="headerlink" href="#skolem-identifiers" title="Permalink to this heading"></a></h1>
<dl class="cpp enum-class">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemIdE">
<span id="_CPPv3N4cvc58SkolemIdE"></span><span id="_CPPv2N4cvc58SkolemIdE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3"></span><span class="k"><span class="pre">enum</span></span><span class="w"> </span><span class="k"><span class="pre">class</span></span><span class="w"> </span><span class="sig-prename descclassname"><span class="n"><span class="pre">cvc5</span></span><span class="p"><span class="pre">::</span></span></span><span class="sig-name descname"><span class="n"><span class="pre">SkolemId</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemIdE" title="Permalink to this definition"></a><br /></dt>
<dd><p>The kind of a cvc5 skolem. A skolem is a (family of) internal functions or constants that are introduced by cvc5. These symbols are treated as uninterpreted internally. We track their definition for the purposes of formal bookkeeping for the user of features like proofs, lemma exporting, simplification and so on.</p>
<p>A skolem has an identifier and a set of “skolem indices”. The skolem indices are <em>not</em> children of the skolem function, but rather should be seen as the way of distinguishing skolems from the same family.</p>
<p>For example, the family of “array diff” skolems <code class="docutils literal notranslate"><span class="pre">ARRAY_DEQ_DIFF</span></code> witness the disequality between two arrays, which are its skolem indices.</p>
<p>Say that skolem k witnesses the disequality between two arrays A and B of type <code class="docutils literal notranslate"><span class="pre">(Array</span> <span class="pre">Int</span> <span class="pre">Int)</span></code>. Then, k is a term whose skolem identifier is <code class="docutils literal notranslate"><span class="pre">ARRAY_DEQ_DIFF</span></code>, skolem indices are A and B, and whose type is <code class="docutils literal notranslate"><span class="pre">Int</span></code>.</p>
<p>Note the type of k is not <code class="docutils literal notranslate"><span class="pre">(-></span> <span class="pre">(Array</span> <span class="pre">Int</span> <span class="pre">Int)</span> <span class="pre">(Array</span> <span class="pre">Int</span> <span class="pre">Int)</span> <span class="pre">Int)</span></code>. Intuitively, this is due to the fact that cvc5 does not reason about array diff skolem as a function symbol. Furthermore, the array diff skolem that witnesses the disequality of arrays C and D is a separate skolem function k2 from this family, also of type <code class="docutils literal notranslate"><span class="pre">Int</span></code>, where internally k2 has no relation to k apart from having the same skolem identifier.</p>
<p>In contrast, cvc5 reasons about division-by-zero using a single skolem function whose identifier is <code class="docutils literal notranslate"><span class="pre">DIV_BY_ZERO</span></code>. This means its skolem indices are empty and the skolem has a functional type <code class="docutils literal notranslate"><span class="pre">(-></span> <span class="pre">Real</span> <span class="pre">Real)</span></code>. </p>
<p><em>Values:</em></p>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId8INTERNALE">
<span id="_CPPv3N4cvc58SkolemId8INTERNALE"></span><span id="_CPPv2N4cvc58SkolemId8INTERNALE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3a182fa1c42a2468f8488e6dcf75a81b81"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">INTERNAL</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId8INTERNALE" title="Permalink to this definition"></a><br /></dt>
<dd><p>The identifier of the skolem is not exported. These skolems should not appear in any user-level API calls. </p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId6PURIFYE">
<span id="_CPPv3N4cvc58SkolemId6PURIFYE"></span><span id="_CPPv2N4cvc58SkolemId6PURIFYE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3af3a1617f2d1a11fc1731866b0711d85c"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">PURIFY</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId6PURIFYE" title="Permalink to this definition"></a><br /></dt>
<dd><p>The purification skolem for a term. This is a variable that is semantically equivalent to the indexed term t.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">1</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> The term t that this skolem purifies.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: The sort of t. </p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId11GROUND_TERME">
<span id="_CPPv3N4cvc58SkolemId11GROUND_TERME"></span><span id="_CPPv2N4cvc58SkolemId11GROUND_TERME"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3adbe1805f0524fb9138fee84fe9089441"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">GROUND_TERM</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId11GROUND_TERME" title="Permalink to this definition"></a><br /></dt>
<dd><p>An arbitrary ground term of a given sort.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">1</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> A term that represents the sort of the term.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: The sort given by the index. </p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId14ARRAY_DEQ_DIFFE">
<span id="_CPPv3N4cvc58SkolemId14ARRAY_DEQ_DIFFE"></span><span id="_CPPv2N4cvc58SkolemId14ARRAY_DEQ_DIFFE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3a4b0dd3ec5b765e7d0c062f3c28dd4aee"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">ARRAY_DEQ_DIFF</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId14ARRAY_DEQ_DIFFE" title="Permalink to this definition"></a><br /></dt>
<dd><p>The array diff skolem, which is the witness k for the inference <code class="docutils literal notranslate"><span class="pre">(=></span> <span class="pre">(not</span> <span class="pre">(=</span> <span class="pre">A</span> <span class="pre">B))</span> <span class="pre">(not</span> <span class="pre">(=</span> <span class="pre">(select</span> <span class="pre">A</span> <span class="pre">k)</span> <span class="pre">(select</span> <span class="pre">B</span> <span class="pre">k))))</span></code>.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">2</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> The first array of sort <code class="docutils literal notranslate"><span class="pre">(Array</span> <span class="pre">T1</span> <span class="pre">T2)</span></code>.</p></li>
<li><p><code class="docutils literal notranslate"><span class="pre">2:</span></code> The second array of sort <code class="docutils literal notranslate"><span class="pre">(Array</span> <span class="pre">T1</span> <span class="pre">T2)</span></code>.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">T1</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId8BV_EMPTYE">
<span id="_CPPv3N4cvc58SkolemId8BV_EMPTYE"></span><span id="_CPPv2N4cvc58SkolemId8BV_EMPTYE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3aa6ccaebb249d6e8bd7c34c807b9d4aa4"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">BV_EMPTY</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId8BV_EMPTYE" title="Permalink to this definition"></a><br /></dt>
<dd><p>The empty bitvector.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">0</span></code></p></li>
<li><p>Type: <code class="docutils literal notranslate"><span class="pre">(_</span> <span class="pre">BitVec</span> <span class="pre">0)</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId11DIV_BY_ZEROE">
<span id="_CPPv3N4cvc58SkolemId11DIV_BY_ZEROE"></span><span id="_CPPv2N4cvc58SkolemId11DIV_BY_ZEROE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3a04deabc2e73f6edd96de86f7188b5f0a"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">DIV_BY_ZERO</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId11DIV_BY_ZEROE" title="Permalink to this definition"></a><br /></dt>
<dd><p>The function for division by zero. This is semantically equivalent to the SMT-LIB term <code class="docutils literal notranslate"><span class="pre">(lambda</span> <span class="pre">((x</span> <span class="pre">Real))</span> <span class="pre">(/</span> <span class="pre">x</span> <span class="pre">0.0))</span></code>.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">0</span></code></p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">(-></span> <span class="pre">Real</span> <span class="pre">Real)</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId15INT_DIV_BY_ZEROE">
<span id="_CPPv3N4cvc58SkolemId15INT_DIV_BY_ZEROE"></span><span id="_CPPv2N4cvc58SkolemId15INT_DIV_BY_ZEROE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3a58f27282c1f298a7c652681c80d5b9b8"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">INT_DIV_BY_ZERO</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId15INT_DIV_BY_ZEROE" title="Permalink to this definition"></a><br /></dt>
<dd><p>The function for integer division by zero. This is semantically equivalent to the SMT-LIB term <code class="docutils literal notranslate"><span class="pre">(lambda</span> <span class="pre">((x</span> <span class="pre">Int))</span> <span class="pre">(div</span> <span class="pre">x</span> <span class="pre">0))</span></code>.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">0</span></code></p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">(-></span> <span class="pre">Int</span> <span class="pre">Int)</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId11MOD_BY_ZEROE">
<span id="_CPPv3N4cvc58SkolemId11MOD_BY_ZEROE"></span><span id="_CPPv2N4cvc58SkolemId11MOD_BY_ZEROE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3a5b333d8696ea66e07927d2e61b4af1e1"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">MOD_BY_ZERO</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId11MOD_BY_ZEROE" title="Permalink to this definition"></a><br /></dt>
<dd><p>The function for integer modulus by zero. This is semantically equivalent to the SMT-LIB term <code class="docutils literal notranslate"><span class="pre">(lambda</span> <span class="pre">((x</span> <span class="pre">Int))</span> <span class="pre">(mod</span> <span class="pre">x</span> <span class="pre">0))</span></code>.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">0</span></code></p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">(-></span> <span class="pre">Int</span> <span class="pre">Int)</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId21TRANSCENDENTAL_PURIFYE">
<span id="_CPPv3N4cvc58SkolemId21TRANSCENDENTAL_PURIFYE"></span><span id="_CPPv2N4cvc58SkolemId21TRANSCENDENTAL_PURIFYE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3a6aabb2a2ad6ec71c2930c6740cf27054"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">TRANSCENDENTAL_PURIFY</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId21TRANSCENDENTAL_PURIFYE" title="Permalink to this definition"></a><br /></dt>
<dd><p>A function introduced to eliminate extended trancendental functions. Transcendental functions like sqrt, arccos, arcsin, etc. are replaced during processing with uninterpreted functions that are unique to each function.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">1</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> A lambda corresponding to the function, e.g., <code class="docutils literal notranslate"><span class="pre">(lambda</span> <span class="pre">((x</span> <span class="pre">Real))</span> <span class="pre">(sqrt</span> <span class="pre">x))</span></code>.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">(-></span> <span class="pre">Real</span> <span class="pre">Real)</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId25TRANSCENDENTAL_PURIFY_ARGE">
<span id="_CPPv3N4cvc58SkolemId25TRANSCENDENTAL_PURIFY_ARGE"></span><span id="_CPPv2N4cvc58SkolemId25TRANSCENDENTAL_PURIFY_ARGE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3a48c692748e57770d7ed159c9db07cddb"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">TRANSCENDENTAL_PURIFY_ARG</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId25TRANSCENDENTAL_PURIFY_ARGE" title="Permalink to this definition"></a><br /></dt>
<dd><p>Argument used to purify trancendental function app <code class="docutils literal notranslate"><span class="pre">(f</span> <span class="pre">x)</span></code>. For <code class="docutils literal notranslate"><span class="pre">(sin</span> <span class="pre">x)</span></code>, this is a variable that is assumed to be in phase with <code class="docutils literal notranslate"><span class="pre">x</span></code> that is between <code class="docutils literal notranslate"><span class="pre">-pi</span></code> and <code class="docutils literal notranslate"><span class="pre">pi</span></code>.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">1</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> The application of a trancendental function.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">Real</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId31TRANSCENDENTAL_SINE_PHASE_SHIFTE">
<span id="_CPPv3N4cvc58SkolemId31TRANSCENDENTAL_SINE_PHASE_SHIFTE"></span><span id="_CPPv2N4cvc58SkolemId31TRANSCENDENTAL_SINE_PHASE_SHIFTE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3ade24f1cf4f6d1d29e205bbc7447318a6"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">TRANSCENDENTAL_SINE_PHASE_SHIFT</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId31TRANSCENDENTAL_SINE_PHASE_SHIFTE" title="Permalink to this definition"></a><br /></dt>
<dd><p>Argument used to reason about the phase shift of arguments to sine. In particular, this is an integral rational indicating the number of times :math:<code class="docutils literal notranslate"><span class="pre">2\pi</span></code> is added to a real value between :math:<code class="docutils literal notranslate"><span class="pre">-\pi</span></code> and :math:<code class="docutils literal notranslate"><span class="pre">\pi</span></code> to obtain the value of argument to sine.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">1</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> The argument to sine.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">Real</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId15ARITH_VTS_DELTAE">
<span id="_CPPv3N4cvc58SkolemId15ARITH_VTS_DELTAE"></span><span id="_CPPv2N4cvc58SkolemId15ARITH_VTS_DELTAE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3a40b82a02c364504c4678537f2196ab9e"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">ARITH_VTS_DELTA</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId15ARITH_VTS_DELTAE" title="Permalink to this definition"></a><br /></dt>
<dd><p>Used to reason about virtual term substitution. This term represents an infinitesimal. This skolem is expected to appear in instantiations and immediately be rewritten via virtual term substitution.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">0</span></code></p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">Real</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId20ARITH_VTS_DELTA_FREEE">
<span id="_CPPv3N4cvc58SkolemId20ARITH_VTS_DELTA_FREEE"></span><span id="_CPPv2N4cvc58SkolemId20ARITH_VTS_DELTA_FREEE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3a26e3dc723addb03f57f37b21fd0685d7"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">ARITH_VTS_DELTA_FREE</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId20ARITH_VTS_DELTA_FREEE" title="Permalink to this definition"></a><br /></dt>
<dd><p>Used to reason about virtual term substitution. This term represents an infinitesimal. Unlike ARITH_VTS_DELTA, this skolem may appear in lemmas.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">0</span></code></p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">Real</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId18ARITH_VTS_INFINITYE">
<span id="_CPPv3N4cvc58SkolemId18ARITH_VTS_INFINITYE"></span><span id="_CPPv2N4cvc58SkolemId18ARITH_VTS_INFINITYE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3aebd9a0b3fbc4110a2c8f4f2b8e731246"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">ARITH_VTS_INFINITY</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId18ARITH_VTS_INFINITYE" title="Permalink to this definition"></a><br /></dt>
<dd><p>Used to reason about virtual term substitution. This term represents infinity. This skolem is expected to appear in instantiations and immediately be rewritten via virtual term substitution.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">0</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> A term that represents an arithmetic sort (Int or Real).</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: The sort given by the index. </p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId23ARITH_VTS_INFINITY_FREEE">
<span id="_CPPv3N4cvc58SkolemId23ARITH_VTS_INFINITY_FREEE"></span><span id="_CPPv2N4cvc58SkolemId23ARITH_VTS_INFINITY_FREEE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3acbd3357376b01e3e16941804e02bbab5"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">ARITH_VTS_INFINITY_FREE</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId23ARITH_VTS_INFINITY_FREEE" title="Permalink to this definition"></a><br /></dt>
<dd><p>Used to reason about virtual term substitution. This term represents infinity. Unlike ARITH_VTS_INFINITY, this skolem may appear in lemmas.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">0</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> A term that represents an arithmetic sort (Int or Real).</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: The sort given by the index. </p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId15SHARED_SELECTORE">
<span id="_CPPv3N4cvc58SkolemId15SHARED_SELECTORE"></span><span id="_CPPv2N4cvc58SkolemId15SHARED_SELECTORE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3a9c3777f07766b0555a1878b751b0eea1"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">SHARED_SELECTOR</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId15SHARED_SELECTORE" title="Permalink to this definition"></a><br /></dt>
<dd><p><p>A shared datatype selector, see Reynolds et. al. “Datatypes with Shared</p>
<p>Selectors”, IJCAR 2018. Represents a selector that can extract fields of multiple constructors.</p>
</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">3</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> A term that represents the datatype we are extracting from.</p></li>
<li><p><code class="docutils literal notranslate"><span class="pre">2:</span></code> A term that represents the sort of field we are extracting.</p></li>
<li><p><code class="docutils literal notranslate"><span class="pre">3:</span></code> An integer n such that this shared selector returns the n^th subfield term of the given sort.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: A selector sort whose domain is given by first index, and whose codomain is the given by the second index. </p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId11HO_DEQ_DIFFE">
<span id="_CPPv3N4cvc58SkolemId11HO_DEQ_DIFFE"></span><span id="_CPPv2N4cvc58SkolemId11HO_DEQ_DIFFE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3a53857f5c2eb229180faa7accbba8296b"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">HO_DEQ_DIFF</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId11HO_DEQ_DIFFE" title="Permalink to this definition"></a><br /></dt>
<dd><p>The higher-roder diff skolem, which is the witness k for the inference <code class="docutils literal notranslate"><span class="pre">(=></span> <span class="pre">(not</span> <span class="pre">(=</span> <span class="pre">A</span> <span class="pre">B))</span> <span class="pre">(not</span> <span class="pre">(=</span> <span class="pre">(A</span> <span class="pre">k1</span> <span class="pre">...</span> <span class="pre">kn)</span> <span class="pre">(B</span> <span class="pre">k1</span> <span class="pre">...</span> <span class="pre">kn))))</span></code>.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">2</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> The first function of sort <code class="docutils literal notranslate"><span class="pre">(-></span> <span class="pre">T1</span> <span class="pre">...</span> <span class="pre">Tn</span> <span class="pre">T)</span></code>.</p></li>
<li><p><code class="docutils literal notranslate"><span class="pre">2:</span></code> The second function of sort <code class="docutils literal notranslate"><span class="pre">(-></span> <span class="pre">T1</span> <span class="pre">...</span> <span class="pre">Tn</span> <span class="pre">T)</span></code>.</p></li>
<li><p><code class="docutils literal notranslate"><span class="pre">3:</span></code> The argument index i.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">Ti</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId21QUANTIFIERS_SKOLEMIZEE">
<span id="_CPPv3N4cvc58SkolemId21QUANTIFIERS_SKOLEMIZEE"></span><span id="_CPPv2N4cvc58SkolemId21QUANTIFIERS_SKOLEMIZEE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3ac1ab720b183825e1b23b6a6e8390d6b9"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">QUANTIFIERS_SKOLEMIZE</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId21QUANTIFIERS_SKOLEMIZEE" title="Permalink to this definition"></a><br /></dt>
<dd><p>The n^th skolem for the negation of universally quantified formula Q.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">2</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> The quantified formula Q.</p></li>
<li><p><code class="docutils literal notranslate"><span class="pre">2:</span></code> The index of the variable in the binder of Q to skolemize.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: The type of the variable referenced by the second index. </p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId17STRINGS_NUM_OCCURE">
<span id="_CPPv3N4cvc58SkolemId17STRINGS_NUM_OCCURE"></span><span id="_CPPv2N4cvc58SkolemId17STRINGS_NUM_OCCURE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3a4a340c2e269988423131f7bb19e1246d"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">STRINGS_NUM_OCCUR</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId17STRINGS_NUM_OCCURE" title="Permalink to this definition"></a><br /></dt>
<dd><p>An integer corresponding to the number of times a string occurs in another string. This is used to reason about str.replace_all.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">2</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> The first string.</p></li>
<li><p><code class="docutils literal notranslate"><span class="pre">2:</span></code> The second string.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">Int</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId19STRINGS_OCCUR_INDEXE">
<span id="_CPPv3N4cvc58SkolemId19STRINGS_OCCUR_INDEXE"></span><span id="_CPPv2N4cvc58SkolemId19STRINGS_OCCUR_INDEXE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3a329f30044521731cd1ac343066c7da57"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">STRINGS_OCCUR_INDEX</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId19STRINGS_OCCUR_INDEXE" title="Permalink to this definition"></a><br /></dt>
<dd><p>A function k such that for x = 0…n, (k x) is the end index of the x^th occurrence of a string b in string a, where n is the number of occurrences of b in a, and <code class="docutils literal notranslate"><span class="pre">(=</span> <span class="pre">(k</span> <span class="pre">0)</span> <span class="pre">0)</span></code>. This is used to reason about str.replace_all.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">2</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> The first string.</p></li>
<li><p><code class="docutils literal notranslate"><span class="pre">2:</span></code> The second string.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">(-></span> <span class="pre">Int</span> <span class="pre">Int)</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId20STRINGS_NUM_OCCUR_REE">
<span id="_CPPv3N4cvc58SkolemId20STRINGS_NUM_OCCUR_REE"></span><span id="_CPPv2N4cvc58SkolemId20STRINGS_NUM_OCCUR_REE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3a60c91e1bd31b107c92152305da401a26"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">STRINGS_NUM_OCCUR_RE</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId20STRINGS_NUM_OCCUR_REE" title="Permalink to this definition"></a><br /></dt>
<dd><p>Analogous to STRINGS_NUM_OCCUR, but for regular expressions. An integer corresponding to the number of times a regular expression can be matched in a string. This is used to reason about str.replace_all_re.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">2</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> The string to match.</p></li>
<li><p><code class="docutils literal notranslate"><span class="pre">2:</span></code> The regular expression to find.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">Int</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId22STRINGS_OCCUR_INDEX_REE">
<span id="_CPPv3N4cvc58SkolemId22STRINGS_OCCUR_INDEX_REE"></span><span id="_CPPv2N4cvc58SkolemId22STRINGS_OCCUR_INDEX_REE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3a0515bd4b58c987edb315b851fa05cd83"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">STRINGS_OCCUR_INDEX_RE</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId22STRINGS_OCCUR_INDEX_REE" title="Permalink to this definition"></a><br /></dt>
<dd><p>Analogous to STRINGS_OCCUR_INDEX, but for regular expressions. A function k such that for x = 0…n, (k x) is the end index of the x^th occurrence of a regular expression R in string a, where n is the number of occurrences of R in a, and <code class="docutils literal notranslate"><span class="pre">(=</span> <span class="pre">(k</span> <span class="pre">0)</span> <span class="pre">0)</span></code>. This is used to reason about str.replace_all_re.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">2</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> The string to match.</p></li>
<li><p><code class="docutils literal notranslate"><span class="pre">2:</span></code> The regular expression to find.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">(-></span> <span class="pre">Int</span> <span class="pre">Int)</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId20STRINGS_OCCUR_LEN_REE">
<span id="_CPPv3N4cvc58SkolemId20STRINGS_OCCUR_LEN_REE"></span><span id="_CPPv2N4cvc58SkolemId20STRINGS_OCCUR_LEN_REE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3af52061c655b9f8560bb2252921fdf695"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">STRINGS_OCCUR_LEN_RE</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId20STRINGS_OCCUR_LEN_REE" title="Permalink to this definition"></a><br /></dt>
<dd><p>A function k where for x = 0…n, <code class="docutils literal notranslate"><span class="pre">(k</span> <span class="pre">x)</span></code> is the length of the x^th occurrence of R in a (excluding matches of empty strings) where R is a regular expression, n is the number of occurrences of R in a, and <code class="docutils literal notranslate"><span class="pre">(=</span> <span class="pre">(k</span> <span class="pre">0)</span> <span class="pre">0)</span></code>.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">2</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> The string to match.</p></li>
<li><p><code class="docutils literal notranslate"><span class="pre">2:</span></code> The regular expression to find.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">(-></span> <span class="pre">Int</span> <span class="pre">Int)</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId16STRINGS_DEQ_DIFFE">
<span id="_CPPv3N4cvc58SkolemId16STRINGS_DEQ_DIFFE"></span><span id="_CPPv2N4cvc58SkolemId16STRINGS_DEQ_DIFFE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3a1021febcba637b1b639f7c013d2c0004"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">STRINGS_DEQ_DIFF</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId16STRINGS_DEQ_DIFFE" title="Permalink to this definition"></a><br /></dt>
<dd><p>Difference index for string disequalities, such that k is the witness for the inference <code class="docutils literal notranslate"><span class="pre">(=></span> <span class="pre">(not</span> <span class="pre">(=</span> <span class="pre">a</span> <span class="pre">b))</span> <span class="pre">(not</span> <span class="pre">(=</span> <span class="pre">(substr</span> <span class="pre">a</span> <span class="pre">k</span> <span class="pre">1)</span> <span class="pre">(substr</span> <span class="pre">b</span> <span class="pre">k</span> <span class="pre">1))))</span></code> where note that <code class="docutils literal notranslate"><span class="pre">k</span></code> may be out of bounds for at most of a,b.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">2</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> The first string.</p></li>
<li><p><code class="docutils literal notranslate"><span class="pre">2:</span></code> The second string.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">Int</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId26STRINGS_REPLACE_ALL_RESULTE">
<span id="_CPPv3N4cvc58SkolemId26STRINGS_REPLACE_ALL_RESULTE"></span><span id="_CPPv2N4cvc58SkolemId26STRINGS_REPLACE_ALL_RESULTE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3af721436defb00332a1896a069e51d613"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">STRINGS_REPLACE_ALL_RESULT</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId26STRINGS_REPLACE_ALL_RESULTE" title="Permalink to this definition"></a><br /></dt>
<dd><p>A function used to define intermediate results of str.replace_all and str.replace_re_all applications. This denotes a function that denotes the result of processing the string or sequence after processing the n^th occurrence of string or match of the regular expression in the given replace_all term.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">1</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> The application of replace_all or replace_all_re.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">(-></span> <span class="pre">Int</span> <span class="pre">S)</span></code> where S is either <code class="docutils literal notranslate"><span class="pre">String</span></code> or <code class="docutils literal notranslate"><span class="pre">(Seq</span> <span class="pre">T)</span></code> for some <code class="docutils literal notranslate"><span class="pre">T</span></code>. </p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId19STRINGS_ITOS_RESULTE">
<span id="_CPPv3N4cvc58SkolemId19STRINGS_ITOS_RESULTE"></span><span id="_CPPv2N4cvc58SkolemId19STRINGS_ITOS_RESULTE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3a3605b06636adb8ac17a9a17f958a095f"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">STRINGS_ITOS_RESULT</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId19STRINGS_ITOS_RESULTE" title="Permalink to this definition"></a><br /></dt>
<dd><p>A function used to define intermediate results of str.from_int applications. This is a function k denoting the result of processing the first n digits of the argument.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">1</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> The argument to str.from_int.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">(-></span> <span class="pre">Int</span> <span class="pre">Int)</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId19STRINGS_STOI_RESULTE">
<span id="_CPPv3N4cvc58SkolemId19STRINGS_STOI_RESULTE"></span><span id="_CPPv2N4cvc58SkolemId19STRINGS_STOI_RESULTE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3a7d70cba01f1bdb8920adba8409436657"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">STRINGS_STOI_RESULT</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId19STRINGS_STOI_RESULTE" title="Permalink to this definition"></a><br /></dt>
<dd><p>A function used to define intermediate results of str.from_int applications. This is a function k of type <code class="docutils literal notranslate"><span class="pre">(-></span> <span class="pre">Int</span> <span class="pre">String)</span></code> denoting the result of processing the first n characters of the argument.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">1</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> The argument to str.to_int.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">(-></span> <span class="pre">Int</span> <span class="pre">String)</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId22STRINGS_STOI_NON_DIGITE">
<span id="_CPPv3N4cvc58SkolemId22STRINGS_STOI_NON_DIGITE"></span><span id="_CPPv2N4cvc58SkolemId22STRINGS_STOI_NON_DIGITE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3a7185b8e4bd2b4488a83891d681bdd760"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">STRINGS_STOI_NON_DIGIT</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId22STRINGS_STOI_NON_DIGITE" title="Permalink to this definition"></a><br /></dt>
<dd><p>A position containing a non-digit in a string, used when <code class="docutils literal notranslate"><span class="pre">(str.to_int</span> <span class="pre">a)</span></code> is equal to -1. This is an integer that returns a position for which the argument string is not a digit if one exists, or is unconstrained otherwise.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">1</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> The argument to str.to_int.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">Int</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId18RE_FIRST_MATCH_PREE">
<span id="_CPPv3N4cvc58SkolemId18RE_FIRST_MATCH_PREE"></span><span id="_CPPv2N4cvc58SkolemId18RE_FIRST_MATCH_PREE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3ae8db31656b751c2e5f95c07ea811a691"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">RE_FIRST_MATCH_PRE</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId18RE_FIRST_MATCH_PREE" title="Permalink to this definition"></a><br /></dt>
<dd><p>The next three skolems are used to decompose the match of a regular expression in string.</p>
<p>For string a and regular expression R, this skolem is the prefix of string a before the first, shortest match of R in a. Formally, if <code class="docutils literal notranslate"><span class="pre">(str.in_re</span> <span class="pre">a</span> <span class="pre">(re.++</span> <span class="pre">(re.*</span> <span class="pre">re.allchar)</span> <span class="pre">R</span> <span class="pre">(re.*</span> <span class="pre">re.allchar)))</span></code>, then there exists strings k_pre, k_match, k_post such that: <code class="docutils literal notranslate"><span class="pre">(=</span> <span class="pre">a</span> <span class="pre">(str.++</span> <span class="pre">k_pre</span> <span class="pre">k_match</span> <span class="pre">k_post))</span></code> and <code class="docutils literal notranslate"><span class="pre">(=</span> <span class="pre">(len</span> <span class="pre">k_pre)</span> <span class="pre">(indexof_re</span> <span class="pre">a</span> <span class="pre">R</span> <span class="pre">0))</span></code> and <code class="docutils literal notranslate"><span class="pre">(forall</span> <span class="pre">((l</span> <span class="pre">Int))</span> <span class="pre">(=></span> <span class="pre">(<</span> <span class="pre">0</span> <span class="pre">l</span> <span class="pre">(len</span> <span class="pre">k_match))</span> <span class="pre">(not</span> <span class="pre">(str.in_re</span> <span class="pre">(substr</span> <span class="pre">k_match</span> <span class="pre">0</span> <span class="pre">l)</span> <span class="pre">R))))</span></code> and <code class="docutils literal notranslate"><span class="pre">(str.in_re</span> <span class="pre">k_match</span> <span class="pre">R)</span></code> This skolem is k_pre, and the proceeding two skolems are k_match and k_post.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">2</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> The string.</p></li>
<li><p><code class="docutils literal notranslate"><span class="pre">2:</span></code> The regular expression to match.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">String</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId14RE_FIRST_MATCHE">
<span id="_CPPv3N4cvc58SkolemId14RE_FIRST_MATCHE"></span><span id="_CPPv2N4cvc58SkolemId14RE_FIRST_MATCHE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3a775690ec5079ad334e4e164de7edf06a"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">RE_FIRST_MATCH</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId14RE_FIRST_MATCHE" title="Permalink to this definition"></a><br /></dt>
<dd><p>For string a and regular expression R, this skolem is the string that the first, shortest match of R was matched to in a.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">2</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> The string.</p></li>
<li><p><code class="docutils literal notranslate"><span class="pre">2:</span></code> The regular expression to match.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">String</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId19RE_FIRST_MATCH_POSTE">
<span id="_CPPv3N4cvc58SkolemId19RE_FIRST_MATCH_POSTE"></span><span id="_CPPv2N4cvc58SkolemId19RE_FIRST_MATCH_POSTE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3a8b045718207190892790a27a81f1a2d9"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">RE_FIRST_MATCH_POST</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId19RE_FIRST_MATCH_POSTE" title="Permalink to this definition"></a><br /></dt>
<dd><p>For string a and regular expression <code class="docutils literal notranslate"><span class="pre">R</span></code>, this skolem is the remainder of a after the first, shortest match of <code class="docutils literal notranslate"><span class="pre">R</span></code> in a.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">2</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> The string.</p></li>
<li><p><code class="docutils literal notranslate"><span class="pre">2:</span></code> The regular expression to match.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">String</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId23RE_UNFOLD_POS_COMPONENTE">
<span id="_CPPv3N4cvc58SkolemId23RE_UNFOLD_POS_COMPONENTE"></span><span id="_CPPv2N4cvc58SkolemId23RE_UNFOLD_POS_COMPONENTE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3ae5039f65e7aebca70dbd94edc62ce7b2"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">RE_UNFOLD_POS_COMPONENT</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId23RE_UNFOLD_POS_COMPONENTE" title="Permalink to this definition"></a><br /></dt>
<dd><p>Regular expression unfold component: if <code class="docutils literal notranslate"><span class="pre">(str.in_re</span> <span class="pre">a</span> <span class="pre">R)</span></code>, where R is <code class="docutils literal notranslate"><span class="pre">(re.++</span> <span class="pre">R0</span> <span class="pre">...</span> <span class="pre">Rn)</span></code>, then the <code class="docutils literal notranslate"><span class="pre">RE_UNFOLD_POS_COMPONENT</span></code> for indices (a,R,i) is a string ki such that <code class="docutils literal notranslate"><span class="pre">(=</span> <span class="pre">a</span> <span class="pre">(str.++</span> <span class="pre">k0</span> <span class="pre">...</span> <span class="pre">kn))</span></code> and <code class="docutils literal notranslate"><span class="pre">(str.in_re</span> <span class="pre">k0</span> <span class="pre">R0)</span></code> for i = 0, …, n.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">3</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> The string.</p></li>
<li><p><code class="docutils literal notranslate"><span class="pre">2:</span></code> The regular expression.</p></li>
<li><p><code class="docutils literal notranslate"><span class="pre">3:</span></code> The index of the skolem.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">String</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId17BAGS_CARD_COMBINEE">
<span id="_CPPv3N4cvc58SkolemId17BAGS_CARD_COMBINEE"></span><span id="_CPPv2N4cvc58SkolemId17BAGS_CARD_COMBINEE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3ab618336b8505578e7d7528b14394ea85"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">BAGS_CARD_COMBINE</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId17BAGS_CARD_COMBINEE" title="Permalink to this definition"></a><br /></dt>
<dd><p>An uninterpreted function for bag.card operator: To compute <code class="docutils literal notranslate"><span class="pre">(bag.card</span> <span class="pre">A)</span></code>, we need a function that counts multiplicities of distinct elements. We call this function combine of type Int -> Int where: combine(0) = 0. combine(i) = m(elements(i), A) + combine(i-1) for 1 <= i <= n. elements: a skolem function for (bag.fold f t A). See <code class="docutils literal notranslate"><span class="pre">BAGS_DISTINCT_ELEMENTS</span></code>. n: is the number of distinct elements in A.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">1</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> the bag argument A.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">(-></span> <span class="pre">Int</span> <span class="pre">Int)</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId37BAGS_DISTINCT_ELEMENTS_UNION_DISJOINTE">
<span id="_CPPv3N4cvc58SkolemId37BAGS_DISTINCT_ELEMENTS_UNION_DISJOINTE"></span><span id="_CPPv2N4cvc58SkolemId37BAGS_DISTINCT_ELEMENTS_UNION_DISJOINTE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3ad1e7bb7d98fad8a704283f9ca771d8b8"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">BAGS_DISTINCT_ELEMENTS_UNION_DISJOINT</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId37BAGS_DISTINCT_ELEMENTS_UNION_DISJOINTE" title="Permalink to this definition"></a><br /></dt>
<dd><p>An uninterpreted function for the union of distinct elements in a bag (Bag T). To compute operators like bag.card, we need a function for distinct elements in A of type (-> Int T) (see <code class="docutils literal notranslate"><span class="pre">BAGS_DISTINCT_ELEMENTS</span></code>). We also need to restrict the range [1, n] to only elements in the bag as follows: unionDisjoint(0) = bag.empty. unionDisjoint(i) = disjoint union of {<elements(i), m(elements(i), A)>} and unionDisjoint(i-1). unionDisjoint(n) = A.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">1</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> the bag argument A of type (Bag T).</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">(-></span> <span class="pre">Int</span> <span class="pre">(Bag</span> <span class="pre">T))</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId14BAGS_FOLD_CARDE">
<span id="_CPPv3N4cvc58SkolemId14BAGS_FOLD_CARDE"></span><span id="_CPPv2N4cvc58SkolemId14BAGS_FOLD_CARDE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3abd423151a455022591c55192a713ac6b"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">BAGS_FOLD_CARD</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId14BAGS_FOLD_CARDE" title="Permalink to this definition"></a><br /></dt>
<dd><p>An uninterpreted function for bag.fold operator: To compute <code class="docutils literal notranslate"><span class="pre">(bag.fold</span> <span class="pre">f</span> <span class="pre">t</span> <span class="pre">A)</span></code>, we need to guess the cardinality n of bag A using a skolem function with <code class="docutils literal notranslate"><span class="pre">BAGS_FOLD_CARD</span></code> id.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">1</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> the bag argument A.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">Int</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId17BAGS_FOLD_COMBINEE">
<span id="_CPPv3N4cvc58SkolemId17BAGS_FOLD_COMBINEE"></span><span id="_CPPv2N4cvc58SkolemId17BAGS_FOLD_COMBINEE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3a470631dcfd56b48c9d598df7875b0526"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">BAGS_FOLD_COMBINE</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId17BAGS_FOLD_COMBINEE" title="Permalink to this definition"></a><br /></dt>
<dd><p>An uninterpreted function for bag.fold operator: To compute <code class="docutils literal notranslate"><span class="pre">(bag.fold</span> <span class="pre">f</span> <span class="pre">t</span> <span class="pre">A)</span></code>, we need a function that accumulates intermidiate values. We call this function combine of type Int -> T2 where: combine(0) = t combine(i) = f(elements(i), combine(i - 1)) for 1 <= i <= n. elements: a skolem function for (bag.fold f t A) see <code class="docutils literal notranslate"><span class="pre">BAGS_FOLD_ELEMENTS</span></code>. n: is the cardinality of A. T2: is the type of initial value t.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">3</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> the function f of type <code class="docutils literal notranslate"><span class="pre">(-></span> <span class="pre">T1</span> <span class="pre">T2)</span></code>.</p></li>
<li><p><code class="docutils literal notranslate"><span class="pre">2:</span></code> the initial value t of type <code class="docutils literal notranslate"><span class="pre">T2</span></code>.</p></li>
<li><p><code class="docutils literal notranslate"><span class="pre">3:</span></code> the bag argument A of type <code class="docutils literal notranslate"><span class="pre">(Bag</span> <span class="pre">T1)</span></code>.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">(-></span> <span class="pre">Int</span> <span class="pre">T2)</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId18BAGS_FOLD_ELEMENTSE">
<span id="_CPPv3N4cvc58SkolemId18BAGS_FOLD_ELEMENTSE"></span><span id="_CPPv2N4cvc58SkolemId18BAGS_FOLD_ELEMENTSE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3ad40b573cfc3fef3437a2f628cbe5fe4a"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">BAGS_FOLD_ELEMENTS</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId18BAGS_FOLD_ELEMENTSE" title="Permalink to this definition"></a><br /></dt>
<dd><p>An uninterpreted function for bag.fold operator: To compute <code class="docutils literal notranslate"><span class="pre">(bag.fold</span> <span class="pre">f</span> <span class="pre">t</span> <span class="pre">A)</span></code>, we need a function for elements of A. We call this function elements of type <code class="docutils literal notranslate"><span class="pre">(-></span> <span class="pre">Int</span> <span class="pre">T1)</span></code> where T1 is the type of elements of A. If the cardinality of A is n, then A is the disjoint union of {elements(i)} for 1 <= i <= n. See <code class="docutils literal notranslate"><span class="pre">BAGS_FOLD_UNION_DISJOINT</span></code>.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">1</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> a bag argument A of type <code class="docutils literal notranslate"><span class="pre">(Bag</span> <span class="pre">T1)</span></code></p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">(-></span> <span class="pre">Int</span> <span class="pre">T1)</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId24BAGS_FOLD_UNION_DISJOINTE">
<span id="_CPPv3N4cvc58SkolemId24BAGS_FOLD_UNION_DISJOINTE"></span><span id="_CPPv2N4cvc58SkolemId24BAGS_FOLD_UNION_DISJOINTE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3a1d7598fe581c14ea0f41d942178440f2"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">BAGS_FOLD_UNION_DISJOINT</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId24BAGS_FOLD_UNION_DISJOINTE" title="Permalink to this definition"></a><br /></dt>
<dd><p>An uninterpreted function for bag.fold operator: To compute <code class="docutils literal notranslate"><span class="pre">(bag.fold</span> <span class="pre">f</span> <span class="pre">t</span> <span class="pre">A)</span></code>, we need a function for elements of A which is given by elements defined in <code class="docutils literal notranslate"><span class="pre">BAGS_FOLD_ELEMENTS</span></code>. We also need unionDisjoint: <code class="docutils literal notranslate"><span class="pre">(-></span> <span class="pre">Int</span> <span class="pre">(Bag</span> <span class="pre">T1))</span></code> to compute the disjoint union such that: unionDisjoint(0) = bag.empty. unionDisjoint(i) = disjoint union of {elements(i)} and unionDisjoint (i-1). unionDisjoint(n) = A.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">1</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> the bag argument A of type <code class="docutils literal notranslate"><span class="pre">(Bag</span> <span class="pre">T1)</span></code>.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">(-></span> <span class="pre">Int</span> <span class="pre">(Bag</span> <span class="pre">T1))</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId11BAGS_CHOOSEE">
<span id="_CPPv3N4cvc58SkolemId11BAGS_CHOOSEE"></span><span id="_CPPv2N4cvc58SkolemId11BAGS_CHOOSEE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3ae7cc935a8afefb23fae0f748a89169c7"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">BAGS_CHOOSE</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId11BAGS_CHOOSEE" title="Permalink to this definition"></a><br /></dt>
<dd><p>An interpreted function <code class="docutils literal notranslate"><span class="pre">uf</span></code> for bag.choose operator: <code class="docutils literal notranslate"><span class="pre">(bag.choose</span> <span class="pre">A)</span></code> is replaced by <code class="docutils literal notranslate"><span class="pre">(uf</span> <span class="pre">A)</span></code> along with the inference that <code class="docutils literal notranslate"><span class="pre">(>=</span> <span class="pre">(bag.count</span> <span class="pre">(uf</span> <span class="pre">A)</span> <span class="pre">A)</span> <span class="pre">1)</span></code> when <code class="docutils literal notranslate"><span class="pre">A</span></code> is non-empty. where <code class="docutils literal notranslate"><span class="pre">T</span></code> is the type of elements of A.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">1</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> the bag to chose from, of type (Bag T).</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">(-></span> <span class="pre">(Bag</span> <span class="pre">T)</span> <span class="pre">T)</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId22BAGS_DISTINCT_ELEMENTSE">
<span id="_CPPv3N4cvc58SkolemId22BAGS_DISTINCT_ELEMENTSE"></span><span id="_CPPv2N4cvc58SkolemId22BAGS_DISTINCT_ELEMENTSE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3a473472a3f5ab8d9595680fdcb15c387e"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">BAGS_DISTINCT_ELEMENTS</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId22BAGS_DISTINCT_ELEMENTSE" title="Permalink to this definition"></a><br /></dt>
<dd><p>An uninterpreted function for distinct elements of a bag A, which returns the n^th distinct element of the bag. See <code class="docutils literal notranslate"><span class="pre">BAGS_DISTINCT_ELEMENTS_UNION_DISJOINT</span></code>.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">1</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> the bag argument A of type <code class="docutils literal notranslate"><span class="pre">(Bag</span> <span class="pre">T)</span></code>.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">(-></span> <span class="pre">Int</span> <span class="pre">T)</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId27BAGS_DISTINCT_ELEMENTS_SIZEE">
<span id="_CPPv3N4cvc58SkolemId27BAGS_DISTINCT_ELEMENTS_SIZEE"></span><span id="_CPPv2N4cvc58SkolemId27BAGS_DISTINCT_ELEMENTS_SIZEE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3a16957e9e42de2d6f39f29994986c0af1"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">BAGS_DISTINCT_ELEMENTS_SIZE</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId27BAGS_DISTINCT_ELEMENTS_SIZEE" title="Permalink to this definition"></a><br /></dt>
<dd><p>A skolem variable for the size of the distinct elements of a bag A.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">1</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> the bag argument A.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">Int</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId27BAGS_MAP_PREIMAGE_INJECTIVEE">
<span id="_CPPv3N4cvc58SkolemId27BAGS_MAP_PREIMAGE_INJECTIVEE"></span><span id="_CPPv2N4cvc58SkolemId27BAGS_MAP_PREIMAGE_INJECTIVEE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3ab751ec2bde8fbc67a9595c98f9cef33e"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">BAGS_MAP_PREIMAGE_INJECTIVE</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId27BAGS_MAP_PREIMAGE_INJECTIVEE" title="Permalink to this definition"></a><br /></dt>
<dd><p>A skolem for the preimage of an element y in <code class="docutils literal notranslate"><span class="pre">(bag.map</span> <span class="pre">f</span> <span class="pre">A)</span></code> such that <code class="docutils literal notranslate"><span class="pre">(=</span> <span class="pre">(f</span> <span class="pre">x)</span> <span class="pre">y)</span></code> where f: <code class="docutils literal notranslate"><span class="pre">(-></span> <span class="pre">E</span> <span class="pre">T)</span></code> is an injective function.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">3</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> the function f of type <code class="docutils literal notranslate"><span class="pre">(-></span> <span class="pre">E</span> <span class="pre">T)</span></code>.</p></li>
<li><p><code class="docutils literal notranslate"><span class="pre">2:</span></code> the bag argument A of <code class="docutils literal notranslate"><span class="pre">(Bag</span> <span class="pre">E)</span></code>.</p></li>
<li><p><code class="docutils literal notranslate"><span class="pre">3:</span></code> the element argument y type <code class="docutils literal notranslate"><span class="pre">T</span></code>.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">E</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId14BAGS_MAP_INDEXE">
<span id="_CPPv3N4cvc58SkolemId14BAGS_MAP_INDEXE"></span><span id="_CPPv2N4cvc58SkolemId14BAGS_MAP_INDEXE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3a40007b778848ec16f5a8641315c2b3a7"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">BAGS_MAP_INDEX</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId14BAGS_MAP_INDEXE" title="Permalink to this definition"></a><br /></dt>
<dd><p>A skolem variable for the index that is unique per terms <code class="docutils literal notranslate"><span class="pre">(bag.map</span> <span class="pre">f</span> <span class="pre">A)</span></code>, y, e where: f: <code class="docutils literal notranslate"><span class="pre">(-></span> <span class="pre">E</span> <span class="pre">T)</span></code>, A: <code class="docutils literal notranslate"><span class="pre">(Bag</span> <span class="pre">E)</span></code>, y: <code class="docutils literal notranslate"><span class="pre">T</span></code>, e: <code class="docutils literal notranslate"><span class="pre">E</span></code></p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">5</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> a map term of the form <code class="docutils literal notranslate"><span class="pre">(bag.map</span> <span class="pre">f</span> <span class="pre">A)</span></code>.</p></li>
<li><p><code class="docutils literal notranslate"><span class="pre">2:</span></code> a skolem function with id <code class="docutils literal notranslate"><span class="pre">BAGS_DISTINCT_ELEMENTS</span></code>.</p></li>
<li><p><code class="docutils literal notranslate"><span class="pre">3:</span></code> a skolem function with id <code class="docutils literal notranslate"><span class="pre">BAGS_DISTINCT_ELEMENTS_SIZE</span></code>.</p></li>
<li><p><code class="docutils literal notranslate"><span class="pre">4:</span></code> an element y of type <code class="docutils literal notranslate"><span class="pre">T</span></code> representing the mapped value.</p></li>
<li><p><code class="docutils literal notranslate"><span class="pre">5:</span></code> an element x of type <code class="docutils literal notranslate"><span class="pre">E</span></code>.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">Int</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId12BAGS_MAP_SUME">
<span id="_CPPv3N4cvc58SkolemId12BAGS_MAP_SUME"></span><span id="_CPPv2N4cvc58SkolemId12BAGS_MAP_SUME"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3a8c50299d9fb8dfafa0e220daeaa2d069"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">BAGS_MAP_SUM</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId12BAGS_MAP_SUME" title="Permalink to this definition"></a><br /></dt>
<dd><p>An uninterpreted function for bag.map operator: If bag A is {uf(1), …, uf(n)} (see <code class="docutils literal notranslate"><span class="pre">BAGS_DISTINCT_ELEMENTS</span></code>}, then the multiplicity of an element y in a bag <code class="docutils literal notranslate"><span class="pre">(bag.map</span> <span class="pre">f</span> <span class="pre">A)</span></code> is sum(n), where sum: <code class="docutils literal notranslate"><span class="pre">(-></span> <span class="pre">Int</span> <span class="pre">Int)</span></code> is a skolem function such that: sum(0) = 0 sum(i) = sum (i-1) + (bag.count (uf i) A)</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">3</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> the function f of type <code class="docutils literal notranslate"><span class="pre">(-></span> <span class="pre">E</span> <span class="pre">T)</span></code>.</p></li>
<li><p><code class="docutils literal notranslate"><span class="pre">2:</span></code> the bag argument A of <code class="docutils literal notranslate"><span class="pre">(Bag</span> <span class="pre">E)</span></code>.</p></li>
<li><p><code class="docutils literal notranslate"><span class="pre">3:</span></code> the element argument e type <code class="docutils literal notranslate"><span class="pre">E</span></code>.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">(-></span> <span class="pre">Int</span> <span class="pre">Int)</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId13BAGS_DEQ_DIFFE">
<span id="_CPPv3N4cvc58SkolemId13BAGS_DEQ_DIFFE"></span><span id="_CPPv2N4cvc58SkolemId13BAGS_DEQ_DIFFE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3a4ff3d37a70579a416f5a4ce22db2716c"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">BAGS_DEQ_DIFF</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId13BAGS_DEQ_DIFFE" title="Permalink to this definition"></a><br /></dt>
<dd><p>The bag diff skolem, which is the witness k for the inference <code class="docutils literal notranslate"><span class="pre">(=></span> <span class="pre">(not</span> <span class="pre">(=</span> <span class="pre">A</span> <span class="pre">B))</span> <span class="pre">(not</span> <span class="pre">(=</span> <span class="pre">(bag.count</span> <span class="pre">k</span> <span class="pre">A)</span> <span class="pre">(bag.count</span> <span class="pre">k</span> <span class="pre">B))))</span></code>.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">2</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> The first bag of type <code class="docutils literal notranslate"><span class="pre">(Bag</span> <span class="pre">T)</span></code>.</p></li>
<li><p><code class="docutils literal notranslate"><span class="pre">2:</span></code> The second bag of type <code class="docutils literal notranslate"><span class="pre">(Bag</span> <span class="pre">T)</span></code>.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">T</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId17TABLES_GROUP_PARTE">
<span id="_CPPv3N4cvc58SkolemId17TABLES_GROUP_PARTE"></span><span id="_CPPv2N4cvc58SkolemId17TABLES_GROUP_PARTE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3ac22bbe1d3c37d15b4a712dcf2a7d9537"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">TABLES_GROUP_PART</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId17TABLES_GROUP_PARTE" title="Permalink to this definition"></a><br /></dt>
<dd><p>Given a group term <code class="docutils literal notranslate"><span class="pre">((_</span> <span class="pre">table.group</span> <span class="pre">n1</span> <span class="pre">...</span> <span class="pre">nk)</span> <span class="pre">A)</span></code> of type <code class="docutils literal notranslate"><span class="pre">(Bag</span> <span class="pre">(Table</span> <span class="pre">T))</span></code>, this skolem maps elements of A to their parts in the resulting partition.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">1</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> a group term of the form <code class="docutils literal notranslate"><span class="pre">((_</span> <span class="pre">table.group</span> <span class="pre">n1</span> <span class="pre">...</span> <span class="pre">nk)</span> <span class="pre">A)</span></code>.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">(-></span> <span class="pre">T</span> <span class="pre">(Table</span> <span class="pre">T))</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId25TABLES_GROUP_PART_ELEMENTE">
<span id="_CPPv3N4cvc58SkolemId25TABLES_GROUP_PART_ELEMENTE"></span><span id="_CPPv2N4cvc58SkolemId25TABLES_GROUP_PART_ELEMENTE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3a43a8727e194619db62d903ff1b8cbab8"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">TABLES_GROUP_PART_ELEMENT</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId25TABLES_GROUP_PART_ELEMENTE" title="Permalink to this definition"></a><br /></dt>
<dd><p>Given a group term <code class="docutils literal notranslate"><span class="pre">((_</span> <span class="pre">table.group</span> <span class="pre">n1</span> <span class="pre">...</span> <span class="pre">nk)</span> <span class="pre">A)</span></code> of type <code class="docutils literal notranslate"><span class="pre">(Bag</span> <span class="pre">(Table</span> <span class="pre">T))</span></code> and a part B of type <code class="docutils literal notranslate"><span class="pre">(Table</span> <span class="pre">T)</span></code>, this function returns a skolem element that is a member of B if B is not empty.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">2</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> a group term of the form <code class="docutils literal notranslate"><span class="pre">((_</span> <span class="pre">table.group</span> <span class="pre">n1</span> <span class="pre">...</span> <span class="pre">nk)</span> <span class="pre">A)</span></code>.</p></li>
<li><p><code class="docutils literal notranslate"><span class="pre">2:</span></code> a table B of type <code class="docutils literal notranslate"><span class="pre">(Table</span> <span class="pre">T)</span></code>.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">T</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId20RELATIONS_GROUP_PARTE">
<span id="_CPPv3N4cvc58SkolemId20RELATIONS_GROUP_PARTE"></span><span id="_CPPv2N4cvc58SkolemId20RELATIONS_GROUP_PARTE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3af79d7b89c361a7acf54672056233ba44"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">RELATIONS_GROUP_PART</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId20RELATIONS_GROUP_PARTE" title="Permalink to this definition"></a><br /></dt>
<dd><p>Given a group term <code class="docutils literal notranslate"><span class="pre">((_</span> <span class="pre">rel.group</span> <span class="pre">n1</span> <span class="pre">...</span> <span class="pre">nk)</span> <span class="pre">A)</span></code> of type <code class="docutils literal notranslate"><span class="pre">(Set</span> <span class="pre">(Relation</span> <span class="pre">T))</span></code> this skolem maps elements of A to their parts in the resulting partition.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">1</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> a relation of the form <code class="docutils literal notranslate"><span class="pre">((_</span> <span class="pre">rel.group</span> <span class="pre">n1</span> <span class="pre">...</span> <span class="pre">nk)</span> <span class="pre">A)</span></code>.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">(-></span> <span class="pre">T</span> <span class="pre">(Relation</span> <span class="pre">T))</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId28RELATIONS_GROUP_PART_ELEMENTE">
<span id="_CPPv3N4cvc58SkolemId28RELATIONS_GROUP_PART_ELEMENTE"></span><span id="_CPPv2N4cvc58SkolemId28RELATIONS_GROUP_PART_ELEMENTE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3a08fafb636410f89f490ae3846a21ca78"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">RELATIONS_GROUP_PART_ELEMENT</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId28RELATIONS_GROUP_PART_ELEMENTE" title="Permalink to this definition"></a><br /></dt>
<dd><p>Given a group term ((_ rel.group n1 … nk) A) of type (Set (Relation T)) and a part B of type (Relation T), this function returns a skolem element that is a member of B if B is not empty.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">2</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> a group term of the form <code class="docutils literal notranslate"><span class="pre">((_</span> <span class="pre">rel.group</span> <span class="pre">n1</span> <span class="pre">...</span> <span class="pre">nk)</span> <span class="pre">A)</span></code>.</p></li>
<li><p><code class="docutils literal notranslate"><span class="pre">2:</span></code> a relation B of type <code class="docutils literal notranslate"><span class="pre">(Relation</span> <span class="pre">T)</span></code>.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">T</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId11SETS_CHOOSEE">
<span id="_CPPv3N4cvc58SkolemId11SETS_CHOOSEE"></span><span id="_CPPv2N4cvc58SkolemId11SETS_CHOOSEE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3a42c44bd56e665b219ccb19f2d725317d"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">SETS_CHOOSE</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId11SETS_CHOOSEE" title="Permalink to this definition"></a><br /></dt>
<dd><p>An interpreted function for set.choose operator, where <code class="docutils literal notranslate"><span class="pre">(set.choose</span> <span class="pre">A)</span></code> is expanded to <code class="docutils literal notranslate"><span class="pre">(uf</span> <span class="pre">A)</span></code> along with the inference <code class="docutils literal notranslate"><span class="pre">(set.member</span> <span class="pre">(uf</span> <span class="pre">A)</span> <span class="pre">A))</span></code> when <code class="docutils literal notranslate"><span class="pre">A</span></code> is non-empty, where uf: <code class="docutils literal notranslate"><span class="pre">(-></span> <span class="pre">(Set</span> <span class="pre">E)</span> <span class="pre">E)</span></code> is this skolem function, and E is the type of elements of <code class="docutils literal notranslate"><span class="pre">A</span></code>.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">1</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> a ground value for the type <code class="docutils literal notranslate"><span class="pre">(Set</span> <span class="pre">E)</span></code>.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">(-></span> <span class="pre">(Set</span> <span class="pre">E)</span> <span class="pre">E)</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId13SETS_DEQ_DIFFE">
<span id="_CPPv3N4cvc58SkolemId13SETS_DEQ_DIFFE"></span><span id="_CPPv2N4cvc58SkolemId13SETS_DEQ_DIFFE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3a5778b64476a1527d023e2d09fc09d27d"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">SETS_DEQ_DIFF</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId13SETS_DEQ_DIFFE" title="Permalink to this definition"></a><br /></dt>
<dd><p>The set diff skolem, which is the witness k for the inference <code class="docutils literal notranslate"><span class="pre">(=></span> <span class="pre">(not</span> <span class="pre">(=</span> <span class="pre">A</span> <span class="pre">B))</span> <span class="pre">(not</span> <span class="pre">(=</span> <span class="pre">(set.member</span> <span class="pre">k</span> <span class="pre">A)</span> <span class="pre">(set.member</span> <span class="pre">k</span> <span class="pre">B))))</span></code>.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">2</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> The first set of type <code class="docutils literal notranslate"><span class="pre">(Set</span> <span class="pre">E)</span></code>.</p></li>
<li><p><code class="docutils literal notranslate"><span class="pre">2:</span></code> The second set of type <code class="docutils literal notranslate"><span class="pre">(Set</span> <span class="pre">E)</span></code>.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">E</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId14SETS_FOLD_CARDE">
<span id="_CPPv3N4cvc58SkolemId14SETS_FOLD_CARDE"></span><span id="_CPPv2N4cvc58SkolemId14SETS_FOLD_CARDE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3a9c6e2645cebd6ed49a3d75dc18fc7f61"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">SETS_FOLD_CARD</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId14SETS_FOLD_CARDE" title="Permalink to this definition"></a><br /></dt>
<dd><p>An uninterpreted function for set.fold operator: To compute <code class="docutils literal notranslate"><span class="pre">(set.fold</span> <span class="pre">f</span> <span class="pre">t</span> <span class="pre">A)</span></code>, we need to guess the cardinality n of set A using a skolem function with SETS_FOLD_CARD id.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">1</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> the set argument A.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">Int</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId17SETS_FOLD_COMBINEE">
<span id="_CPPv3N4cvc58SkolemId17SETS_FOLD_COMBINEE"></span><span id="_CPPv2N4cvc58SkolemId17SETS_FOLD_COMBINEE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3a141fbae40dcdaf148e571c475b6e6646"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">SETS_FOLD_COMBINE</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId17SETS_FOLD_COMBINEE" title="Permalink to this definition"></a><br /></dt>
<dd><p>An uninterpreted function for set.fold operator: To compute <code class="docutils literal notranslate"><span class="pre">(set.fold</span> <span class="pre">f</span> <span class="pre">t</span> <span class="pre">A)</span></code>, we need a function that accumulates intermidiate values. We call this function combine of type Int -> T2 where: combine(0) = t combine(i) = f(elements(i), combine(i - 1)) for 1 <= i <= n elements: a skolem function for (set.fold f t A) see SETS_FOLD_ELEMENTS n: is the cardinality of A T2: is the type of initial value t</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">3</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> the function f of type <code class="docutils literal notranslate"><span class="pre">(-></span> <span class="pre">T1</span> <span class="pre">T2)</span></code>.</p></li>
<li><p><code class="docutils literal notranslate"><span class="pre">2:</span></code> the initial value t of type <code class="docutils literal notranslate"><span class="pre">T2</span></code>.</p></li>
<li><p><code class="docutils literal notranslate"><span class="pre">3:</span></code> the set argument A of type <code class="docutils literal notranslate"><span class="pre">(Set</span> <span class="pre">T1)</span></code>.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">(-></span> <span class="pre">Int</span> <span class="pre">T2)</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId18SETS_FOLD_ELEMENTSE">
<span id="_CPPv3N4cvc58SkolemId18SETS_FOLD_ELEMENTSE"></span><span id="_CPPv2N4cvc58SkolemId18SETS_FOLD_ELEMENTSE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3abaa555fc60e5e9a3c0ebc98cc4ba6edb"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">SETS_FOLD_ELEMENTS</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId18SETS_FOLD_ELEMENTSE" title="Permalink to this definition"></a><br /></dt>
<dd><p>An uninterpreted function for set.fold operator: To compute <code class="docutils literal notranslate"><span class="pre">(set.fold</span> <span class="pre">f</span> <span class="pre">t</span> <span class="pre">A)</span></code>, we need a function for elements of A. We call this function elements of type <code class="docutils literal notranslate"><span class="pre">(-></span> <span class="pre">Int</span> <span class="pre">T)</span></code> where T is the type of elements of A. If the cardinality of A is n, then A is the union of {elements(i)} for 1 <= i <= n. See SETS_FOLD_UNION_DISJOINT.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">1</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> a set argument A of type <code class="docutils literal notranslate"><span class="pre">(Set</span> <span class="pre">T)</span></code>.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">(-></span> <span class="pre">Int</span> <span class="pre">T)</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId15SETS_FOLD_UNIONE">
<span id="_CPPv3N4cvc58SkolemId15SETS_FOLD_UNIONE"></span><span id="_CPPv2N4cvc58SkolemId15SETS_FOLD_UNIONE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3a94ba91a610eb063cc99ae318783db9d5"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">SETS_FOLD_UNION</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId15SETS_FOLD_UNIONE" title="Permalink to this definition"></a><br /></dt>
<dd><p>An uninterpreted function for set.fold operator: To compute <code class="docutils literal notranslate"><span class="pre">(set.fold</span> <span class="pre">f</span> <span class="pre">t</span> <span class="pre">A)</span></code>, we need a function for elements of A which is given by elements defined in SETS_FOLD_ELEMENTS. We also need unionFn: <code class="docutils literal notranslate"><span class="pre">(-></span> <span class="pre">Int</span> <span class="pre">(Set</span> <span class="pre">E))</span></code> to compute the union such that: unionFn(0) = set.empty unionFn(i) = union of {elements(i)} and unionFn (i-1) unionFn(n) = A</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">1</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> a set argument A of type <code class="docutils literal notranslate"><span class="pre">(Set</span> <span class="pre">E)</span></code>.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">(-></span> <span class="pre">Int</span> <span class="pre">(Set</span> <span class="pre">E))</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId21SETS_MAP_DOWN_ELEMENTE">
<span id="_CPPv3N4cvc58SkolemId21SETS_MAP_DOWN_ELEMENTE"></span><span id="_CPPv2N4cvc58SkolemId21SETS_MAP_DOWN_ELEMENTE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3a0ad443e1a84cbfa1ea97158f884d3aa0"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">SETS_MAP_DOWN_ELEMENT</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId21SETS_MAP_DOWN_ELEMENTE" title="Permalink to this definition"></a><br /></dt>
<dd><p>A skolem variable that is unique per terms <code class="docutils literal notranslate"><span class="pre">(set.map</span> <span class="pre">f</span> <span class="pre">A)</span></code>, y which is an element in <code class="docutils literal notranslate"><span class="pre">(set.map</span> <span class="pre">f</span> <span class="pre">A)</span></code>. The skolem is constrained to be an element in A, and it is mapped to y by f.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">2</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> a map term of the form <code class="docutils literal notranslate"><span class="pre">(set.map</span> <span class="pre">f</span> <span class="pre">A)</span></code> where A of type <code class="docutils literal notranslate"><span class="pre">(Set</span> <span class="pre">E)</span></code></p></li>
<li><p><code class="docutils literal notranslate"><span class="pre">2:</span></code> the element argument y.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">E</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId11FP_MIN_ZEROE">
<span id="_CPPv3N4cvc58SkolemId11FP_MIN_ZEROE"></span><span id="_CPPv2N4cvc58SkolemId11FP_MIN_ZEROE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3af0fca828debfa91e4aff4e09d5a1f8f6"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">FP_MIN_ZERO</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId11FP_MIN_ZEROE" title="Permalink to this definition"></a><br /></dt>
<dd><p>A skolem function that is unique per floating-point sort, introduced for the undefined zero case of <code class="docutils literal notranslate"><span class="pre">fp.min</span></code>.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">1</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> The floating-point sort <code class="docutils literal notranslate"><span class="pre">FP</span></code> of the fp.min operator.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">(-></span> <span class="pre">FP</span> <span class="pre">FP</span> <span class="pre">(_</span> <span class="pre">BitVec</span> <span class="pre">1))</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId11FP_MAX_ZEROE">
<span id="_CPPv3N4cvc58SkolemId11FP_MAX_ZEROE"></span><span id="_CPPv2N4cvc58SkolemId11FP_MAX_ZEROE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3a5212daa0671086f8f809b194bffa9851"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">FP_MAX_ZERO</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId11FP_MAX_ZEROE" title="Permalink to this definition"></a><br /></dt>
<dd><p>A skolem function that is unique per floating-point sort, introduced for the undefined zero case of <code class="docutils literal notranslate"><span class="pre">fp.max</span></code>.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">1</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> The floating-point sort <code class="docutils literal notranslate"><span class="pre">FP</span></code> of the fp.max operator.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">(-></span> <span class="pre">FP</span> <span class="pre">FP</span> <span class="pre">(_</span> <span class="pre">BitVec</span> <span class="pre">1))</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId9FP_TO_UBVE">
<span id="_CPPv3N4cvc58SkolemId9FP_TO_UBVE"></span><span id="_CPPv2N4cvc58SkolemId9FP_TO_UBVE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3afe2d986de75c57ba16cf45965c36c380"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">FP_TO_UBV</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId9FP_TO_UBVE" title="Permalink to this definition"></a><br /></dt>
<dd><p>A skolem function introduced for the undefined out-ouf-bounds case of <code class="docutils literal notranslate"><span class="pre">fp.to_ubv</span></code> that is unique per floating-point sort and sort of the arguments to the operator.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">2</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> The floating-point sort <code class="docutils literal notranslate"><span class="pre">FP</span></code> of operand of fp.to_ubv.</p></li>
<li><p><code class="docutils literal notranslate"><span class="pre">2:</span></code> The bit-vector sort <code class="docutils literal notranslate"><span class="pre">BV</span></code> to convert to.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">(-></span> <span class="pre">RoundingMode</span> <span class="pre">FP</span> <span class="pre">BV)</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId9FP_TO_SBVE">
<span id="_CPPv3N4cvc58SkolemId9FP_TO_SBVE"></span><span id="_CPPv2N4cvc58SkolemId9FP_TO_SBVE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3a9f5cfe9b3d7d10e17650a7ce3a54890c"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">FP_TO_SBV</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId9FP_TO_SBVE" title="Permalink to this definition"></a><br /></dt>
<dd><p>A skolem function introduced for the undefined out-ouf-bounds case of <code class="docutils literal notranslate"><span class="pre">fp.to_sbv</span></code> that is unique per floating-point sort and sort of the arguments to the operator.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">2</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> The floating-point sort <code class="docutils literal notranslate"><span class="pre">FP</span></code> of operand of fp.to_sbv.</p></li>
<li><p><code class="docutils literal notranslate"><span class="pre">2:</span></code> The bit-vector sort <code class="docutils literal notranslate"><span class="pre">BV</span></code> to convert to.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">(-></span> <span class="pre">RoundingMode</span> <span class="pre">FP</span> <span class="pre">BV)</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId10FP_TO_REALE">
<span id="_CPPv3N4cvc58SkolemId10FP_TO_REALE"></span><span id="_CPPv2N4cvc58SkolemId10FP_TO_REALE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3ac2b77dd987bd52a0b0a9cb188138c632"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">FP_TO_REAL</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId10FP_TO_REALE" title="Permalink to this definition"></a><br /></dt>
<dd><p>A skolem function introduced for the undefined of <code class="docutils literal notranslate"><span class="pre">fp.to_real</span></code> that is unique per floating-point sort.</p>
<p><ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">1</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> The floating-point sort <code class="docutils literal notranslate"><span class="pre">FP</span></code> of the operand of fp.to_real.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: <code class="docutils literal notranslate"><span class="pre">(-></span> <span class="pre">FP</span> <span class="pre">Real)</span></code></p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId12BV_TO_INT_UFE">
<span id="_CPPv3N4cvc58SkolemId12BV_TO_INT_UFE"></span><span id="_CPPv2N4cvc58SkolemId12BV_TO_INT_UFE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3a8920ea65ee01e56d6078b0c065e4cafd"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">BV_TO_INT_UF</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId12BV_TO_INT_UFE" title="Permalink to this definition"></a><br /></dt>
<dd><p>A skolem function introduced by the int-blaster. Given a function f with argument and/or return types that include bit-vectors, we get a function that replaces them by integer types. For example, if the original function is from BV and Strings to Strings, the resulting function is from Ints and Strings to Strings.<ul class="simple">
<li><p>Number of skolem indices: <code class="docutils literal notranslate"><span class="pre">1</span></code><ul>
<li><p><code class="docutils literal notranslate"><span class="pre">1:</span></code> the original function f, with BV sorts.</p></li>
</ul>
</p></li>
<li><p><a class="reference internal" href="api/cpp/classes/sort.html#classcvc5_1_1Sort"><span class="std std-ref">Sort</span></a>: (-> T1 … ( -> Tn’ T’)…) Where f has sort (->T1 … (-> Tn T)…) and Ti (T’) is <code class="docutils literal notranslate"><span class="pre">Int</span></code> if Ti (T) is <code class="docutils literal notranslate"><span class="pre">BV</span></code> and Ti’ (T’) is just Ti (T) otherwise. </p></li>
</ul>
</p>
</dd></dl>
<dl class="cpp enumerator">
<dt class="sig sig-object cpp" id="_CPPv4N4cvc58SkolemId4NONEE">
<span id="_CPPv3N4cvc58SkolemId4NONEE"></span><span id="_CPPv2N4cvc58SkolemId4NONEE"></span><span class="target" id="namespacecvc5_1a9bdb8a8ff9e81a066d6c3ec13feee3d3ab50339a10e1de285ac99d4c3990b8693"></span><span class="k"><span class="pre">enumerator</span></span><span class="w"> </span><span class="sig-name descname"><span class="n"><span class="pre">NONE</span></span></span><a class="headerlink" href="#_CPPv4N4cvc58SkolemId4NONEE" title="Permalink to this definition"></a><br /></dt>
<dd><p>Indicates this is not a skolem. </p>
</dd></dl>
</dd></dl>
</section>
</div>
</div>
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