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diff --git a/src/theory/quantifiers/global_negate.cpp b/src/theory/quantifiers/global_negate.cpp
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+++ b/src/theory/quantifiers/global_negate.cpp
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+/*********************                                                        */
+/*! \file global_negate.cpp
+ ** \verbatim
+ ** Top contributors (to current version):
+ **   Andrew Reynolds
+ ** This file is part of the CVC4 project.
+ ** Copyright (c) 2009-2017 by the authors listed in the file AUTHORS
+ ** in the top-level source directory) and their institutional affiliations.
+ ** All rights reserved.  See the file COPYING in the top-level source
+ ** directory for licensing information.\endverbatim
+ **
+ ** \brief Implementation of global_negate
+ **/
+
+#include "theory/quantifiers/global_negate.h"
+#include "theory/rewriter.h"
+
+using namespace std;
+using namespace CVC4::kind;
+
+namespace CVC4 {
+namespace theory {
+namespace quantifiers {
+
+void GlobalNegate::simplify(std::vector<Node>& assertions)
+{
+  NodeManager* nm = NodeManager::currentNM();
+  Assert(!assertions.empty());
+
+  Trace("cbqi-gn") << "Global negate : " << std::endl;
+  // collect free variables in all assertions
+  std::vector<Node> free_vars;
+  std::vector<TNode> visit;
+  std::unordered_set<TNode, TNodeHashFunction> visited;
+  for (const Node& as : assertions)
+  {
+    Trace("cbqi-gn") << "  " << as << std::endl;
+    TNode cur = as;
+    // compute free variables
+    visit.push_back(cur);
+    do
+    {
+      cur = visit.back();
+      visit.pop_back();
+      if (visited.find(cur) == visited.end())
+      {
+        visited.insert(cur);
+        if (cur.isVar() && cur.getKind() != BOUND_VARIABLE)
+        {
+          free_vars.push_back(cur);
+        }
+        for (const TNode& cn : cur)
+        {
+          visit.push_back(cn);
+        }
+      }
+    } while (!visit.empty());
+  }
+
+  Node body;
+  if (assertions.size() == 1)
+  {
+    body = assertions[0];
+  }
+  else
+  {
+    body = nm->mkNode(AND, assertions);
+  }
+
+  // do the negation
+  body = body.negate();
+
+  if (!free_vars.empty())
+  {
+    std::vector<Node> bvs;
+    for (const Node& v : free_vars)
+    {
+      Node bv = nm->mkBoundVar(v.getType());
+      bvs.push_back(bv);
+    }
+
+    body = body.substitute(
+        free_vars.begin(), free_vars.end(), bvs.begin(), bvs.end());
+
+    Node bvl = nm->mkNode(BOUND_VAR_LIST, bvs);
+
+    body = nm->mkNode(FORALL, bvl, body);
+  }
+
+  Trace("cbqi-gn-debug") << "...got (pre-rewrite) : " << body << std::endl;
+  body = Rewriter::rewrite(body);
+  Trace("cbqi-gn") << "...got (post-rewrite) : " << body << std::endl;
+
+  Node truen = nm->mkConst(true);
+  for (unsigned i = 0, size = assertions.size(); i < size; i++)
+  {
+    if (i == 0)
+    {
+      assertions[i] = body;
+    }
+    else
+    {
+      assertions[i] = truen;
+    }
+  }
+}
+
+} /* CVC4::theory::quantifiers namespace */
+} /* CVC4::theory namespace */
+} /* CVC4 namespace */