Split term database (#1206)

* Move equality query to own file, move equality inference to quantifiers engine.

* Move quantifiers attributes out of TermDb and into QuantAttribute.

* Move term database sygus to quantifiers engine, move some attributes to quantifiers attributes header.

* Split term database into term util.

* Partial fix for #1205 that eliminates need for dependency in node.cpp.

* Add more references to github issues.

56 files changed, 2790 insertions, 2521 deletions

diff --git a/src/Makefile.am b/src/Makefile.am
index cfb8e379d..9412e3433 100644
--- a/src/Makefile.am
+++ b/src/Makefile.am
@@ -368,6 +368,8 @@ libcvc4_la_SOURCES = \
 	theory/quantifiers/ceg_t_instantiator.h \
 	theory/quantifiers/conjecture_generator.cpp \
 	theory/quantifiers/conjecture_generator.h \
+	theory/quantifiers/equality_query.cpp \
+	theory/quantifiers/equality_query.h \
 	theory/quantifiers/equality_infer.cpp \
 	theory/quantifiers/equality_infer.h \
 	theory/quantifiers/first_order_model.cpp \
@@ -422,6 +424,8 @@ libcvc4_la_SOURCES = \
 	theory/quantifiers/term_database.h \
 	theory/quantifiers/term_database_sygus.cpp \
 	theory/quantifiers/term_database_sygus.h \
+	theory/quantifiers/term_util.cpp \
+	theory/quantifiers/term_util.h \
 	theory/quantifiers/theory_quantifiers.cpp \
 	theory/quantifiers/theory_quantifiers.h \
 	theory/quantifiers/theory_quantifiers_type_rules.h \
diff --git a/src/expr/node.cpp b/src/expr/node.cpp
index 0c844f92d..75e37151a 100644
--- a/src/expr/node.cpp
+++ b/src/expr/node.cpp
@@ -22,9 +22,6 @@
 #include "base/output.h"
 #include "expr/attribute.h"
 
-#include "theory/quantifiers/term_database.h"
-
-
 using namespace std;
 
 namespace CVC4 {
@@ -113,15 +110,6 @@ bool NodeTemplate<ref_count>::hasBoundVar() {
       for(iterator i = begin(); i != end() && !hasBv; ++i) {
         hasBv = (*i).hasBoundVar();
       }
-      if( !hasBv ){
-        //FIXME : this is a hack to handle synthesis conjectures
-        // the issue is that we represent second-order quantification in synthesis conjectures via a Node:
-        //  exists x forall y P[f,y], where x is a dummy variable that maps to f through attribute SygusSynthFunVarListAttributeId
-        //  when asked whether a node has a bound variable, we want to treat f as if it were a bound (second-order) variable. -AJR
-        if( getKind()==kind::APPLY_UF && getOperator().hasAttribute(theory::SygusSynthFunVarListAttribute()) ){
-          hasBv = true;
-        }
-      }
     }
     setAttribute(HasBoundVarAttr(), hasBv);
     setAttribute(HasBoundVarComputedAttr(), true);
diff --git a/src/parser/smt2/Smt2.g b/src/parser/smt2/Smt2.g
index 29f507238..1b3d7b23f 100644
--- a/src/parser/smt2/Smt2.g
+++ b/src/parser/smt2/Smt2.g
@@ -624,8 +624,8 @@ sygusCommand [std::unique_ptr<CVC4::Command>* cmd]
       }else{
         synth_fun_type = range;
       }
-      // allow overloading for synth fun
-      synth_fun = PARSER_STATE->mkVar(fun, synth_fun_type, ExprManager::VAR_FLAG_NONE, true);
+      // we do not allow overloading for synth fun
+      synth_fun = PARSER_STATE->mkBoundVar(fun, synth_fun_type);
       // we add a declare function command here
       // this is the single unmuted command in the sequence generated by this smt2 command
       seq->addCommand(new DeclareFunctionCommand(fun, synth_fun, synth_fun_type));
diff --git a/src/parser/smt2/smt2.cpp b/src/parser/smt2/smt2.cpp
index acfd886ce..a6830d95d 100644
--- a/src/parser/smt2/smt2.cpp
+++ b/src/parser/smt2/smt2.cpp
@@ -1090,6 +1090,7 @@ const void Smt2::getSygusPrimedVars( std::vector<Expr>& vars, bool isPrimed ) {
 }
 
 const void Smt2::addSygusFunSymbol( Type t, Expr synth_fun ){
+  //FIXME #1205 : we should not create a proxy, instead quantify on synth_fun and set Type t as an attribute
   Expr sym = mkBoundVar("sfproxy", t);
   d_sygusFunSymbols.push_back(sym);
   
diff --git a/src/printer/smt2/smt2_printer.cpp b/src/printer/smt2/smt2_printer.cpp
index c7d6b34ab..147fefa04 100644
--- a/src/printer/smt2/smt2_printer.cpp
+++ b/src/printer/smt2/smt2_printer.cpp
@@ -29,7 +29,7 @@
 #include "smt_util/boolean_simplification.h"
 #include "smt_util/node_visitor.h"
 #include "theory/arrays/theory_arrays_rewriter.h"
-#include "theory/quantifiers/term_database.h"
+#include "theory/quantifiers/quantifiers_attributes.h"
 #include "theory/substitutions.h"
 #include "theory/theory_model.h"
 #include "util/smt2_quote_string.h"
diff --git a/src/smt/smt_engine.cpp b/src/smt/smt_engine.cpp
index db7c65291..bc335f2df 100644
--- a/src/smt/smt_engine.cpp
+++ b/src/smt/smt_engine.cpp
@@ -90,7 +90,7 @@
 #include "theory/quantifiers/fun_def_process.h"
 #include "theory/quantifiers/macros.h"
 #include "theory/quantifiers/quantifiers_rewriter.h"
-#include "theory/quantifiers/term_database.h"
+#include "theory/quantifiers/term_util.h"
 #include "theory/sort_inference.h"
 #include "theory/strings/theory_strings.h"
 #include "theory/substitutions.h"
@@ -4512,6 +4512,7 @@ Result SmtEngine::checkSynth(const Expr& e) throw(Exception) {
       quantifiers::SingleInvocationPartition sip;
       std::vector< Node > funcs;
       for( unsigned i=0; i<conj[0].getNumChildren(); i++ ){
+        // TODO : revisit this when addressing #1205
         Node sf = conj[0][i].getAttribute(theory::SygusSynthFunAttribute());
         Assert( !sf.isNull() );
         funcs.push_back( sf );
diff --git a/src/theory/datatypes/datatypes_sygus.cpp b/src/theory/datatypes/datatypes_sygus.cpp
index 0652ebe10..bae3a9a88 100644
--- a/src/theory/datatypes/datatypes_sygus.cpp
+++ b/src/theory/datatypes/datatypes_sygus.cpp
@@ -20,6 +20,7 @@
 #include "theory/datatypes/datatypes_rewriter.h"
 #include "theory/datatypes/datatypes_sygus.h"
 #include "theory/quantifiers/term_database_sygus.h"
+#include "theory/quantifiers/term_util.h"
 #include "theory/datatypes/theory_datatypes.h"
 #include "theory/theory_model.h"
 
@@ -491,7 +492,7 @@ Node SygusSymBreakNew::getSimpleSymBreakPred( TypeNode tn, int tindex, unsigned
         if( depth==1 ){
           if( nk!=UNDEFINED_KIND ){
             // commutative operators 
-            if( quantifiers::TermDb::isComm( nk ) ){
+            if( quantifiers::TermUtil::isComm( nk ) ){
               if( children.size()==2 ){
                 if( children[0].getType()==children[1].getType() ){
   #if 0
@@ -516,7 +517,7 @@ Node SygusSymBreakNew::getSimpleSymBreakPred( TypeNode tn, int tindex, unsigned
             std::vector< unsigned > deq_child[2];
             if( children.size()==2 && children[0].getType()==tn ){
               bool argDeq = false;
-              if( quantifiers::TermDb::isNonAdditive( nk ) ){
+              if( quantifiers::TermUtil::isNonAdditive( nk ) ){
                 argDeq = true;
               }else{
                 //other cases of rewriting x k x -> x'
@@ -617,7 +618,7 @@ Node SygusSymBreakNew::getSimpleSymBreakPred( TypeNode tn, int tindex, unsigned
         }else if( depth==2 ){
           if( nk!=UNDEFINED_KIND ){
             // commutative operators 
-            if( quantifiers::TermDb::isComm( nk ) ){
+            if( quantifiers::TermUtil::isComm( nk ) ){
               if( children.size()==2 ){
                 if( children[0].getType()==children[1].getType() ){
                   //chainable
diff --git a/src/theory/quantifiers/alpha_equivalence.cpp b/src/theory/quantifiers/alpha_equivalence.cpp
index 6af5bd92f..ff32bbcb7 100644
--- a/src/theory/quantifiers/alpha_equivalence.cpp
+++ b/src/theory/quantifiers/alpha_equivalence.cpp
@@ -14,7 +14,7 @@
  **/
 
 #include "theory/quantifiers/alpha_equivalence.h"
-#include "theory/quantifiers/term_database.h"
+#include "theory/quantifiers/term_util.h"
 
 using namespace CVC4;
 using namespace std;
@@ -23,9 +23,9 @@ using namespace CVC4::theory::quantifiers;
 using namespace CVC4::kind;
 
 struct sortTypeOrder {
-  TermDb* d_tdb;
+  TermUtil* d_tu;
   bool operator() (TypeNode i, TypeNode j) {
-    return d_tdb->getIdForType( i )<d_tdb->getIdForType( j );
+    return d_tu->getIdForType( i )<d_tu->getIdForType( j );
   }
 };
 
@@ -100,7 +100,7 @@ Node AlphaEquivalence::reduceQuantifier( Node q ) {
   Assert( q.getKind()==FORALL );
   Trace("aeq") << "Alpha equivalence : register " << q << std::endl;
   //construct canonical quantified formula
-  Node t = d_qe->getTermDatabase()->getCanonicalTerm( q[1], true );
+  Node t = d_qe->getTermUtil()->getCanonicalTerm( q[1], true );
   Trace("aeq") << "  canonical form: " << t << std::endl;
   //compute variable type counts
   std::map< TypeNode, int > typ_count;
@@ -113,7 +113,7 @@ Node AlphaEquivalence::reduceQuantifier( Node q ) {
     }
   }
   sortTypeOrder sto;
-  sto.d_tdb = d_qe->getTermDatabase();
+  sto.d_tu = d_qe->getTermUtil();
   std::sort( typs.begin(), typs.end(), sto );
   Trace("aeq-debug") << "  ";
   Node ret = AlphaEquivalenceTypeNode::registerNode( &d_ae_typ_trie, d_qe, q, t, typs, typ_count );
diff --git a/src/theory/quantifiers/anti_skolem.cpp b/src/theory/quantifiers/anti_skolem.cpp
index e63dc6abb..e9c646f07 100644
--- a/src/theory/quantifiers/anti_skolem.cpp
+++ b/src/theory/quantifiers/anti_skolem.cpp
@@ -17,7 +17,7 @@
 
 #include "options/quantifiers_options.h"
 #include "theory/quantifiers/first_order_model.h"
-#include "theory/quantifiers/term_database.h"
+#include "theory/quantifiers/term_util.h"
 #include "theory/quantifiers_engine.h"
 
 using namespace std;
@@ -29,9 +29,9 @@ namespace theory {
 namespace quantifiers {
 
 struct sortTypeOrder {
-  TermDb* d_tdb;
+  TermUtil* d_tu;
   bool operator() (TypeNode i, TypeNode j) {
-    return d_tdb->getIdForType( i )<d_tdb->getIdForType( j );
+    return d_tu->getIdForType( i )<d_tu->getIdForType( j );
   }
 };
 
@@ -120,7 +120,7 @@ void QuantAntiSkolem::check( Theory::Effort e, unsigned quant_e ) {
             indices[d_ask_types[q][j]].push_back( j );
           }
           sortTypeOrder sto;
-          sto.d_tdb = d_quantEngine->getTermDatabase();
+          sto.d_tu = d_quantEngine->getTermUtil();
           std::sort( d_ask_types[q].begin(), d_ask_types[q].end(), sto );
           //increment j on inner loop
           for( unsigned j=0; j<d_ask_types[q].size();  ){
diff --git a/src/theory/quantifiers/bounded_integers.cpp b/src/theory/quantifiers/bounded_integers.cpp
index 903a729f5..5afee3d57 100644
--- a/src/theory/quantifiers/bounded_integers.cpp
+++ b/src/theory/quantifiers/bounded_integers.cpp
@@ -19,7 +19,7 @@
 #include "theory/quantifiers/first_order_model.h"
 #include "theory/quantifiers/model_engine.h"
 #include "theory/quantifiers/quant_util.h"
-#include "theory/quantifiers/term_database.h"
+#include "theory/quantifiers/term_util.h"
 #include "theory/theory_engine.h"
 
 using namespace CVC4;
@@ -241,7 +241,7 @@ void BoundedIntegers::process( Node q, Node n, bool pol,
       //if we are ( x != t1 ^ ...^ x != tn ), then x can be bound to { t1...tn }
       Node conj = n;
       if( !pol ){
-        conj = TermDb::simpleNegate( conj );
+        conj = TermUtil::simpleNegate( conj );
       }
       Trace("bound-int-debug") << "Process possible finite disequality conjunction : " << conj << std::endl;
       Assert( conj.getKind()==AND );
@@ -455,7 +455,7 @@ void BoundedIntegers::preRegisterQuantifier( Node f ) {
       for( unsigned i=0; i<f[0].getNumChildren(); i++) {
         if( d_bound_type[f].find( f[0][i] )==d_bound_type[f].end() ){
           TypeNode tn = f[0][i].getType();
-          if( tn.isSort() || getTermDatabase()->mayComplete( tn ) ){
+          if( tn.isSort() || getTermUtil()->mayComplete( tn ) ){
             success = true;
             setBoundedVar( f, f[0][i], BOUND_FINITE );
             break;
@@ -808,7 +808,7 @@ bool BoundedIntegers::getBoundElements( RepSetIterator * rsi, bool initial, Node
         Node tu = u;
         getBounds( q, v, rsi, tl, tu );
         Assert( !tl.isNull() && !tu.isNull() );
-        if( ra==d_quantEngine->getTermDatabase()->d_true ){
+        if( ra==d_quantEngine->getTermUtil()->d_true ){
           long rr = range.getConst<Rational>().getNumerator().getLong()+1;
           Trace("bound-int-rsi")  << "Actual bound range is " << rr << std::endl;
           for( unsigned k=0; k<rr; k++ ){
diff --git a/src/theory/quantifiers/bv_inverter.cpp b/src/theory/quantifiers/bv_inverter.cpp
index 169b16f63..d209c4d73 100644
--- a/src/theory/quantifiers/bv_inverter.cpp
+++ b/src/theory/quantifiers/bv_inverter.cpp
@@ -17,9 +17,11 @@
 #include <algorithm>
 #include <stack>
 
-#include "theory/quantifiers/term_database.h"
+#include "theory/rewriter.h"
+#include "theory/quantifiers/term_util.h"
 #include "theory/bv/theory_bv_utils.h"
 
+
 using namespace CVC4;
 using namespace CVC4::kind;
 using namespace CVC4::theory;
diff --git a/src/theory/quantifiers/candidate_generator.cpp b/src/theory/quantifiers/candidate_generator.cpp
index 01e71be95..0a66109a0 100644
--- a/src/theory/quantifiers/candidate_generator.cpp
+++ b/src/theory/quantifiers/candidate_generator.cpp
@@ -16,6 +16,7 @@
 #include "theory/quantifiers/candidate_generator.h"
 #include "theory/quantifiers/inst_match.h"
 #include "theory/quantifiers/term_database.h"
+#include "theory/quantifiers/term_util.h"
 #include "theory/quantifiers_engine.h"
 #include "theory/theory_engine.h"
 #include "theory/uf/theory_uf.h"
@@ -28,7 +29,7 @@ using namespace CVC4::theory;
 using namespace CVC4::theory::inst;
 
 bool CandidateGenerator::isLegalCandidate( Node n ){
-  return d_qe->getTermDatabase()->isTermActive( n ) && ( !options::cbqi() || !quantifiers::TermDb::hasInstConstAttr(n) );
+  return d_qe->getTermDatabase()->isTermActive( n ) && ( !options::cbqi() || !quantifiers::TermUtil::hasInstConstAttr(n) );
 }
 
 void CandidateGeneratorQueue::addCandidate( Node n ) {
@@ -189,7 +190,7 @@ CandidateGeneratorQELitEq::CandidateGeneratorQELitEq( QuantifiersEngine* qe, Nod
   CandidateGenerator( qe ), d_match_pattern( mpat ){
   Assert( mpat.getKind()==EQUAL );
   for( unsigned i=0; i<2; i++ ){
-    if( !quantifiers::TermDb::hasInstConstAttr(mpat[i]) ){
+    if( !quantifiers::TermUtil::hasInstConstAttr(mpat[i]) ){
       d_match_gterm = mpat[i];
     }
   }
@@ -262,7 +263,7 @@ CandidateGeneratorQEAll::CandidateGeneratorQEAll( QuantifiersEngine* qe, Node mp
   CandidateGenerator( qe ), d_match_pattern( mpat ){
   d_match_pattern_type = mpat.getType();
   Assert( mpat.getKind()==INST_CONSTANT );
-  d_f = quantifiers::TermDb::getInstConstAttr( mpat );
+  d_f = quantifiers::TermUtil::getInstConstAttr( mpat );
   d_index = mpat.getAttribute(InstVarNumAttribute());
   d_firstTime = false;
 }
diff --git a/src/theory/quantifiers/ce_guided_conjecture.cpp b/src/theory/quantifiers/ce_guided_conjecture.cpp
index 0fe246964..745c64b35 100644
--- a/src/theory/quantifiers/ce_guided_conjecture.cpp
+++ b/src/theory/quantifiers/ce_guided_conjecture.cpp
@@ -19,7 +19,9 @@
 #include "prop/prop_engine.h"
 #include "smt/smt_statistics_registry.h"
 #include "theory/quantifiers/first_order_model.h"
+#include "theory/quantifiers/quantifiers_attributes.h"
 #include "theory/quantifiers/term_database_sygus.h"
+#include "theory/quantifiers/term_util.h"
 #include "theory/theory_engine.h"
 
 using namespace CVC4::kind;
@@ -64,7 +66,7 @@ void CegConjecture::assign( Node q ) {
   std::map< Node, Node > templates; 
   std::map< Node, Node > templates_arg;
   //register with single invocation if applicable
-  if( d_qe->getTermDatabase()->isQAttrSygus( d_quant ) ){
+  if( d_qe->getQuantAttributes()->isSygus( d_quant ) ){
     d_ceg_si->initialize( d_quant );
     q = d_ceg_si->getSimplifiedConjecture();
     // carry the templates
@@ -84,7 +86,7 @@ void CegConjecture::assign( Node q ) {
   Trace("cegqi") << "CegConjecture : converted to embedding : " << d_embed_quant << std::endl;
 
   // we now finalize the single invocation module, based on the syntax restrictions
-  if( d_qe->getTermDatabase()->isQAttrSygus( d_quant ) ){
+  if( d_qe->getQuantAttributes()->isSygus( d_quant ) ){
     d_ceg_si->finishInit( d_ceg_gc->isSyntaxRestricted(), d_ceg_gc->hasSyntaxITE() );
   }
 
@@ -122,7 +124,7 @@ void CegConjecture::assign( Node q ) {
   }
   
   Trace("cegqi") << "Base instantiation is :      " << d_base_inst << std::endl;
-  if( d_qe->getTermDatabase()->isQAttrSygus( d_quant ) ){
+  if( d_qe->getQuantAttributes()->isSygus( d_quant ) ){
     collectDisjuncts( d_base_inst, d_base_disj );
     Trace("cegqi") << "Conjecture has " << d_base_disj.size() << " disjuncts." << std::endl;
     //store the inner variables for each disjunct
@@ -138,7 +140,7 @@ void CegConjecture::assign( Node q ) {
       }
     }
     d_syntax_guided = true;
-  }else if( d_qe->getTermDatabase()->isQAttrSynthesis( d_quant ) ){
+  }else if( d_qe->getQuantAttributes()->isSynthesis( d_quant ) ){
     d_syntax_guided = false;
   }else{
     Assert( false );
@@ -292,7 +294,7 @@ void CegConjecture::doCheck(std::vector< Node >& lems, std::vector< Node >& mode
     Node dr = Rewriter::rewrite( d[i] );
     if( dr.getKind()==NOT && dr[0].getKind()==FORALL ){
       if( constructed_cand ){
-        ic.push_back( d_qe->getTermDatabase()->getSkolemizedBody( dr[0] ).negate() );
+        ic.push_back( d_qe->getTermUtil()->getSkolemizedBody( dr[0] ).negate() );
       }
       if( sk_refine ){
         Assert( !isGround() );
@@ -343,9 +345,9 @@ void CegConjecture::doRefine( std::vector< Node >& lems ){
     Node ce_q = d_ce_sk[0][k];
     if( !ce_q.isNull() ){
       Assert( !d_inner_vars_disj[k].empty() );
-      Assert( d_inner_vars_disj[k].size()==d_qe->getTermDatabase()->d_skolem_constants[ce_q].size() );
+      Assert( d_inner_vars_disj[k].size()==d_qe->getTermUtil()->d_skolem_constants[ce_q].size() );
       std::vector< Node > model_values;
-      getModelValues( d_qe->getTermDatabase()->d_skolem_constants[ce_q], model_values );
+      getModelValues( d_qe->getTermUtil()->d_skolem_constants[ce_q], model_values );
       sk_vars.insert( sk_vars.end(), d_inner_vars_disj[k].begin(), d_inner_vars_disj[k].end() );
       sk_subs.insert( sk_subs.end(), model_values.begin(), model_values.end() );
     }else{
@@ -577,7 +579,7 @@ void CegConjecture::printSynthSolution( std::ostream& out, bool singleInvocation
           if( !options::sygusTemplEmbedGrammar() ){
             TNode templa = d_ceg_si->getTemplateArg( sf );
             // make the builtin version of the full solution
-            TermDbSygus* sygusDb = d_qe->getTermDatabase()->getTermDatabaseSygus();
+            TermDbSygus* sygusDb = d_qe->getTermDatabaseSygus();
             sol = sygusDb->sygusToBuiltin( sol, sol.getType() );		
             Trace("cegqi-inv") << "Builtin version of solution is : "
                                << sol << ", type : " << sol.getType()
diff --git a/src/theory/quantifiers/ce_guided_instantiation.cpp b/src/theory/quantifiers/ce_guided_instantiation.cpp
index 2ad55bb07..a2a6e2bbe 100644
--- a/src/theory/quantifiers/ce_guided_instantiation.cpp
+++ b/src/theory/quantifiers/ce_guided_instantiation.cpp
@@ -18,7 +18,9 @@
 #include "options/quantifiers_options.h"
 #include "smt/smt_statistics_registry.h"
 #include "theory/theory_engine.h"
+#include "theory/quantifiers/quantifiers_attributes.h"
 #include "theory/quantifiers/term_database_sygus.h"
+#include "theory/quantifiers/term_util.h"
 //FIXME : remove this include (github issue #1156)
 #include "theory/bv/theory_bv_rewriter.h"
 
@@ -253,7 +255,7 @@ void CegInstantiation::getCRefEvaluationLemmas( CegConjecture * conj, std::vecto
           lem_conj.push_back( lem );
         }
         EvalSygusInvarianceTest vsit;
-        vsit.d_result = d_quantEngine->getTermDatabase()->d_false;
+        vsit.d_result = d_quantEngine->getTermUtil()->d_false;
         for( unsigned j=0; j<lem_conj.size(); j++ ){
           Node lemc = lem_conj[j];
           Trace("sygus-cref-eval") << "Check refinement lemma conjunct " << lemc << " against current model." << std::endl;
@@ -263,7 +265,7 @@ void CegInstantiation::getCRefEvaluationLemmas( CegConjecture * conj, std::vecto
           Trace("sygus-cref-eval2") << "...under substitution it is : " << lemcs << std::endl;
           Node lemcsu = d_quantEngine->getTermDatabaseSygus()->evaluateWithUnfolding( lemcs, vsit.d_visited );
           Trace("sygus-cref-eval2") << "...after unfolding is : " << lemcsu << std::endl;
-          if( lemcsu==d_quantEngine->getTermDatabase()->d_false ){
+          if( lemcsu==d_quantEngine->getTermUtil()->d_false ){
             std::vector< Node > msu;
             std::vector< Node > mexp;
             msu.insert( msu.end(), ms.begin(), ms.end() );
@@ -308,7 +310,7 @@ void CegInstantiation::printSynthSolution( std::ostream& out ) {
 
 void CegInstantiation::preregisterAssertion( Node n ) {
   //check if it sygus conjecture
-  if( TermDb::isSygusConjecture( n ) ){
+  if( QuantAttributes::checkSygusConjecture( n ) ){
     //this is a sygus conjecture
     Trace("cegqi") << "Preregister sygus conjecture : " << n << std::endl;
     d_conj->preregisterConjecture( n );
diff --git a/src/theory/quantifiers/ce_guided_pbe.cpp b/src/theory/quantifiers/ce_guided_pbe.cpp
index 501e839db..9fa87c11d 100644
--- a/src/theory/quantifiers/ce_guided_pbe.cpp
+++ b/src/theory/quantifiers/ce_guided_pbe.cpp
@@ -17,6 +17,7 @@
 #include "expr/datatype.h"
 #include "options/quantifiers_options.h"
 #include "theory/quantifiers/term_database_sygus.h"
+#include "theory/quantifiers/term_util.h"
 #include "theory/datatypes/datatypes_rewriter.h"
 
 using namespace CVC4;
@@ -605,7 +606,7 @@ void CegConjecturePbe::staticLearnRedundantOps( Node c, Node e, std::map< Node,
               const Datatype& cdt = ((DatatypeType)ctn.toType()).getDatatype();
               for( unsigned j=0; j<cdt.getNumConstructors(); j++ ){
                 Kind ck = d_tds->getConsNumKind( ctn, j );
-                if( ck!=UNDEFINED_KIND && TermDb::isBoolConnective( ck ) ){
+                if( ck!=UNDEFINED_KIND && TermUtil::isBoolConnective( ck ) ){
                   bool typeCorrect = true;
                   for( unsigned k=0; k<cdt[j].getNumArgs(); k++ ){
                     if( d_tds->getArgType( cdt[j], k )!=ctn ){
diff --git a/src/theory/quantifiers/ce_guided_single_inv.cpp b/src/theory/quantifiers/ce_guided_single_inv.cpp
index edd9c4fa3..bf09c83f7 100644
--- a/src/theory/quantifiers/ce_guided_single_inv.cpp
+++ b/src/theory/quantifiers/ce_guided_single_inv.cpp
@@ -21,6 +21,7 @@
 #include "theory/quantifiers/first_order_model.h"
 #include "theory/quantifiers/quant_util.h"
 #include "theory/quantifiers/term_database_sygus.h"
+#include "theory/quantifiers/term_util.h"
 #include "theory/quantifiers/trigger.h"
 #include "theory/theory_engine.h"
 
@@ -100,7 +101,7 @@ void CegConjectureSingleInv::getInitialSingleInvLemma( std::vector< Node >& lems
     }else{
       inst = d_single_inv;
     }
-    inst = TermDb::simpleNegate( inst );
+    inst = TermUtil::simpleNegate( inst );
     Trace("cegqi-si") << "Single invocation initial lemma : " << inst << std::endl;
 
     //register with the instantiator
@@ -139,7 +140,7 @@ void CegConjectureSingleInv::initialize( Node q ) {
     if( q[1].getKind()==NOT && q[1][0].getKind()==FORALL ){
       qq = q[1][0][1];
     }else{
-      qq = TermDb::simpleNegate( q[1] );
+      qq = TermUtil::simpleNegate( q[1] );
     }
     //process the single invocation-ness of the property
     if( !d_sip->init( progs, qq ) ){
@@ -282,7 +283,7 @@ void CegConjectureSingleInv::finishInit( bool syntaxRestricted, bool hasItes ) {
   // we now have determined whether we will do single invocation techniques
   if( d_single_invocation ){
     d_single_inv = d_sip->getSingleInvocation();
-    d_single_inv = TermDb::simpleNegate( d_single_inv );
+    d_single_inv = TermUtil::simpleNegate( d_single_inv );
     if( !d_sip->d_func_vars.empty() ){
       Node pbvl = NodeManager::currentNM()->mkNode( BOUND_VAR_LIST, d_sip->d_func_vars );
       d_single_inv = NodeManager::currentNM()->mkNode( FORALL, pbvl, d_single_inv );
@@ -349,9 +350,9 @@ bool CegConjectureSingleInv::doAddInstantiation( std::vector< Node >& subs ){
       Trace("cegqi-engine") << siss.str() << std::endl;
       Assert( d_single_inv_var.size()==subs.size() );
       lem = d_single_inv[1].substitute( d_single_inv_var.begin(), d_single_inv_var.end(), subs.begin(), subs.end() );
-      if( d_qe->getTermDatabase()->containsVtsTerm( lem ) ){
+      if( d_qe->getTermUtil()->containsVtsTerm( lem ) ){
         Trace("cegqi-engine-debug") << "Rewrite based on vts symbols..." << std::endl;
-        lem = d_qe->getTermDatabase()->rewriteVtsSymbols( lem );
+        lem = d_qe->getTermUtil()->rewriteVtsSymbols( lem );
       }
     }
   }
@@ -407,7 +408,7 @@ Node CegConjectureSingleInv::constructSolution( std::vector< unsigned >& indices
     if( itw!=weak_imp.end() ){
       cond = itw->second;
     }
-    cond = TermDb::simpleNegate( cond );
+    cond = TermUtil::simpleNegate( cond );
     Node ite1 = d_inst[uindex][i];
     Node ite2 = constructSolution( indices, i, index+1, weak_imp );
     return NodeManager::currentNM()->mkNode( ITE, cond, ite1, ite2 );
@@ -473,7 +474,7 @@ Node CegConjectureSingleInv::getSolution( unsigned sol_index, TypeNode stn, int&
   Node s;
   if( d_prog_to_sol_index.find( prog )==d_prog_to_sol_index.end() ){
     Trace("csi-sol") << "Get solution for (unconstrained) " << prog << std::endl;
-    s = d_qe->getTermDatabase()->getEnumerateTerm( TypeNode::fromType( dt.getSygusType() ), 0 );
+    s = d_qe->getTermUtil()->getEnumerateTerm( TypeNode::fromType( dt.getSygusType() ), 0 );
   }else{
     Trace("csi-sol") << "Get solution for " << prog << ", with skolems : ";
     sol_index = d_prog_to_sol_index[prog];
@@ -704,7 +705,7 @@ void SingleInvocationPartition::process( Node n ) {
       std::vector< Node > si_subs;
       Trace("si-prt") << "Process conjunct : " << conj[i] << std::endl;
       //do DER on conjunct
-      Node cr = TermDb::getQuantSimplify( conj[i] );
+      Node cr = TermUtil::getQuantSimplify( conj[i] );
       if( cr!=conj[i] ){
         Trace("si-prt-debug") << "...rewritten to " << cr << std::endl;
       }
@@ -751,11 +752,23 @@ void SingleInvocationPartition::process( Node n ) {
         Trace("si-prt-debug") << "...normalized invocations to " << cr << std::endl;
         //now must check if it has other bound variables
         std::vector< Node > bvs;
-        TermDb::getBoundVars( cr, bvs );
+        TermUtil::getBoundVars( cr, bvs );
         if( bvs.size()>d_si_vars.size() ){
-          Trace("si-prt") << "...not ground single invocation." << std::endl;
-          ngroundSingleInvocation = true;
-          singleInvocation = false;
+          // getBoundVars also collects functions in the rare case that we are synthesizing a function with 0 arguments
+          // take these into account below.
+          unsigned n_const_synth_fun = 0;
+          for( unsigned j=0; j<bvs.size(); j++ ){
+            if( std::find( d_input_funcs.begin(), d_input_funcs.end(), bvs[j] )!=d_input_funcs.end() ){
+              n_const_synth_fun++;
+            }
+          }
+          if( bvs.size()-n_const_synth_fun>d_si_vars.size() ){
+            Trace("si-prt") << "...not ground single invocation." << std::endl;
+            ngroundSingleInvocation = true;
+            singleInvocation = false;
+          }else{
+            Trace("si-prt") << "...ground single invocation : success, after removing 0-arg synth functions." << std::endl;
+          }
         }else{
           Trace("si-prt") << "...ground single invocation : success." << std::endl;
         }
@@ -764,7 +777,7 @@ void SingleInvocationPartition::process( Node n ) {
         singleInvocation = false;
         //rename bound variables with maximal overlap with si_vars
         std::vector< Node > bvs;
-        TermDb::getBoundVars( cr, bvs );
+        TermUtil::getBoundVars( cr, bvs );
         std::vector< Node > terms;
         std::vector< Node > subs;
         for( unsigned j=0; j<bvs.size(); j++ ){
@@ -787,7 +800,7 @@ void SingleInvocationPartition::process( Node n ) {
       cr = Rewriter::rewrite( cr );
       Trace("si-prt") << ".....got si=" << singleInvocation << ", result : " << cr << std::endl;
       d_conjuncts[2].push_back( cr );
-      TermDb::getBoundVars( cr, d_all_vars );
+      TermUtil::getBoundVars( cr, d_all_vars );
       if( singleInvocation ){
         //replace with single invocation formulation
         Assert( si_terms.size()==si_subs.size() );
@@ -820,7 +833,7 @@ bool SingleInvocationPartition::collectConjuncts( Node n, bool pol, std::vector<
     return false;
   }else{
     if( !pol ){
-      n = TermDb::simpleNegate( n );
+      n = TermUtil::simpleNegate( n );
     }
     Trace("si-prt") << "Conjunct : " << n << std::endl;
     conj.push_back( n );
@@ -835,7 +848,7 @@ bool SingleInvocationPartition::processConjunct( Node n, std::map< Node, bool >&
     return true;
   }else{
     bool ret = true;
-    //if( TermDb::hasBoundVarAttr( n ) ){
+    //if( TermUtil::hasBoundVarAttr( n ) ){
       for( unsigned i=0; i<n.getNumChildren(); i++ ){
         if( !processConjunct( n[i], visited, args, terms, subs ) ){
           ret = false;
@@ -1106,7 +1119,7 @@ void TransitionInference::getConstantSubstitution( std::vector< Node >& vars, st
       Node s;
       for( unsigned r=0; r<2; r++ ){
         if( std::find( vars.begin(), vars.end(), slit[r] )!=vars.end() ){
-          if( !TermDb::containsTerm( slit[1-r], slit[r] ) ){
+          if( !TermUtil::containsTerm( slit[1-r], slit[r] ) ){
             v = slit[r];
             s = slit[1-r];
             break;
@@ -1122,7 +1135,7 @@ void TransitionInference::getConstantSubstitution( std::vector< Node >& vars, st
               Node veq_c;
               Node val;
               int ires = QuantArith::isolate( itm->first, msum, veq_c, val, EQUAL );
-              if( ires!=0 && veq_c.isNull() && !TermDb::containsTerm( val, itm->first ) ){
+              if( ires!=0 && veq_c.isNull() && !TermUtil::containsTerm( val, itm->first ) ){
                 v = itm->first;
                 s = val;
               }
@@ -1258,7 +1271,7 @@ void TransitionInference::process( Node n ) {
     }
     if( i==0 || i==1 ){
       // pre-condition and transition are negated
-      ret = TermDb::simpleNegate( ret );
+      ret = TermUtil::simpleNegate( ret );
     }
     d_com[i].d_this = ret;
   }
diff --git a/src/theory/quantifiers/ce_guided_single_inv_sol.cpp b/src/theory/quantifiers/ce_guided_single_inv_sol.cpp
index 1eafe1a93..9e69a31d3 100644
--- a/src/theory/quantifiers/ce_guided_single_inv_sol.cpp
+++ b/src/theory/quantifiers/ce_guided_single_inv_sol.cpp
@@ -21,6 +21,7 @@
 #include "theory/quantifiers/first_order_model.h"
 #include "theory/quantifiers/quant_util.h"
 #include "theory/quantifiers/term_database_sygus.h"
+#include "theory/quantifiers/term_util.h"
 #include "theory/quantifiers/trigger.h"
 #include "theory/theory_engine.h"
 
@@ -87,7 +88,7 @@ Node CegConjectureSingleInvSol::pullITEs( Node s ) {
         rem = pullITEs( rem );
         Trace("csi-pull-ite") << "PI: Rewrite : " << s << std::endl;
         Node prev = s;
-        s = NodeManager::currentNM()->mkNode( ITE, TermDb::simpleNegate( cond ), t, rem );
+        s = NodeManager::currentNM()->mkNode( ITE, TermUtil::simpleNegate( cond ), t, rem );
         Trace("csi-pull-ite") << "PI: Rewrite Now : " << s << std::endl;
         Trace("csi-pull-ite") << "(= " << prev << " " << s << ")" << std::endl;
         success = true;
@@ -109,7 +110,7 @@ bool CegConjectureSingleInvSol::pullITECondition( Node root, Node n_ite, std::ve
       Node cond = n_ite[0][i];
       orig_conj.push_back( cond );
       if( n_ite[0].getKind()==OR ){
-        cond = TermDb::simpleNegate( cond );
+        cond = TermUtil::simpleNegate( cond );
       }
       curr_conj.push_back( cond );
     }
@@ -258,7 +259,7 @@ bool CegConjectureSingleInvSol::getAssign( bool pol, Node n, std::map< Node, boo
     Trace("csi-simp-debug") << "---already assigned, lookup " << pol << " " << ita->second << std::endl;
     return pol==ita->second;
   }else if( n.isConst() ){
-    return pol==(n==d_qe->getTermDatabase()->d_true);
+    return pol==(n==d_qe->getTermUtil()->d_true);
   }else{
     Trace("csi-simp-debug") << "---assign " << n << " " << pol << std::endl;
     assign[n] = pol;
@@ -286,7 +287,7 @@ bool CegConjectureSingleInvSol::getAssignEquality( Node eq, std::vector< Node >&
       Assert( std::find( vars.begin(), vars.end(), eq[r] )==vars.end() );
       if( std::find( new_vars.begin(), new_vars.end(), eq[r] )==new_vars.end() ){
         Node eqro = eq[r==0 ? 1 : 0 ];
-        if( !d_qe->getTermDatabase()->containsTerm( eqro, eq[r] ) ){
+        if( !d_qe->getTermUtil()->containsTerm( eqro, eq[r] ) ){
           Trace("csi-simp-debug") << "---equality " << eq[r] << " = " << eqro << std::endl;
           new_vars.push_back( eq[r] );
           new_subs.push_back( eqro );
@@ -468,7 +469,7 @@ Node CegConjectureSingleInvSol::simplifySolutionNode( Node sol, TypeNode stn, st
       std::vector< Node > children;
       std::vector< Node > new_vars;
       std::vector< Node > new_subs;
-      Node bc = sol.getKind()==OR ? d_qe->getTermDatabase()->d_true : d_qe->getTermDatabase()->d_false;
+      Node bc = sol.getKind()==OR ? d_qe->getTermUtil()->d_true : d_qe->getTermUtil()->d_false;
       for( unsigned i=0; i<sol.getNumChildren(); i++ ){
         bool do_exc = false;
         Node c;
@@ -577,7 +578,7 @@ Node CegConjectureSingleInvSol::simplifySolutionNode( Node sol, TypeNode stn, st
                 if( j!=i && ( j>i || std::find( final_children.begin(), final_children.end(), children[j] )!=final_children.end() ) ){
                   Node sj = children[j].substitute( tmp_vars.begin(), tmp_vars.end(), tmp_subs.begin(), tmp_subs.end() );
                   sj = Rewriter::rewrite( sj );
-                  if( sj==( sol.getKind()==AND ? d_qe->getTermDatabase()->d_false : d_qe->getTermDatabase()->d_true ) ){
+                  if( sj==( sol.getKind()==AND ? d_qe->getTermUtil()->d_false : d_qe->getTermUtil()->d_true ) ){
                     Trace("csi-simp") << "--- " << children[i].negate() << " is implied by " << children[j].negate() << std::endl;
                     red = true;
                     break;
@@ -675,7 +676,7 @@ Node CegConjectureSingleInvSol::reconstructSolution( Node sol, TypeNode stn, int
       std::vector< TypeNode > to_erase;
       for( std::map< TypeNode, bool >::iterator it = active.begin(); it != active.end(); ++it ){
         TypeNode stn = it->first;
-        Node ns = d_qe->getTermDatabase()->getEnumerateTerm( stn, index );
+        Node ns = d_qe->getTermUtil()->getEnumerateTerm( stn, index );
         if( ns.isNull() ){
           to_erase.push_back( stn );
         }else{
@@ -754,7 +755,7 @@ int CegConjectureSingleInvSol::collectReconstructNodes( Node t, TypeNode stn, in
       if( karg!=-1 ){
         //collect the children of min_t
         std::vector< Node > tchildren;
-        if( min_t.getNumChildren()>dt[karg].getNumArgs() && quantifiers::TermDb::isAssoc( min_t.getKind() ) && dt[karg].getNumArgs()==2 ){
+        if( min_t.getNumChildren()>dt[karg].getNumArgs() && quantifiers::TermUtil::isAssoc( min_t.getKind() ) && dt[karg].getNumArgs()==2 ){
           tchildren.push_back( min_t[0] );
           std::vector< Node > rem_children;
           for( unsigned i=1; i<min_t.getNumChildren(); i++ ){
@@ -864,9 +865,9 @@ int CegConjectureSingleInvSol::collectReconstructNodes( Node t, TypeNode stn, in
                       new_t = NodeManager::currentNM()->mkNode( OR, NodeManager::currentNM()->mkNode( AND, curr[0], curr[1] ),
                                                                     NodeManager::currentNM()->mkNode( AND, curr[0].negate(), curr[2] ) );
                     }else if( curr.getKind()==OR || curr.getKind()==AND ){
-                      new_t = TermDb::simpleNegate( curr ).negate();
+                      new_t = TermUtil::simpleNegate( curr ).negate();
                     }else if( curr.getKind()==NOT ){
-                      new_t = TermDb::simpleNegate( curr[0] );
+                      new_t = TermUtil::simpleNegate( curr[0] );
                     }else{
                       new_t = NodeManager::currentNM()->mkNode( NOT, NodeManager::currentNM()->mkNode( NOT, curr ) );
                     }
@@ -1096,7 +1097,7 @@ void CegConjectureSingleInvSol::getEquivalentTerms( Kind k, Node n, std::vector<
         }
         if( !eq.isNull() ){
           eq = Rewriter::rewrite( eq );
-          if( eq!=d_qe->getTermDatabase()->d_true ){
+          if( eq!=d_qe->getTermUtil()->d_true ){
             success = false;
             break;
           }
diff --git a/src/theory/quantifiers/ceg_instantiator.cpp b/src/theory/quantifiers/ceg_instantiator.cpp
index 2fdc37134..b0a4da2af 100644
--- a/src/theory/quantifiers/ceg_instantiator.cpp
+++ b/src/theory/quantifiers/ceg_instantiator.cpp
@@ -19,6 +19,7 @@
 #include "smt/term_formula_removal.h"
 #include "theory/quantifiers/first_order_model.h"
 #include "theory/quantifiers/term_database.h"
+#include "theory/quantifiers/term_util.h"
 #include "theory/quantifiers/quantifiers_rewriter.h"
 #include "theory/quantifiers/trigger.h"
 #include "theory/theory_engine.h"
@@ -605,7 +606,7 @@ Node CegInstantiator::applySubstitution( TypeNode tn, Node n, std::vector< Node
           Node nretc = children.size()==1 ? children[0] : NodeManager::currentNM()->mkNode( PLUS, children );
           nretc = Rewriter::rewrite( nretc );
           //ensure that nret does not contain vars
-          if( !TermDb::containsTerms( nretc, vars ) ){
+          if( !TermUtil::containsTerms( nretc, vars ) ){
             //result is ( nret / pv_prop.d_coeff )
             nret = nretc;
           }else{
@@ -647,7 +648,7 @@ Node CegInstantiator::applySubstitutionToLiteral( Node lit, std::vector< Node >&
       }else{
         atom_lhs = NodeManager::currentNM()->mkNode( MINUS, atom[0], atom[1] );
         atom_lhs = Rewriter::rewrite( atom_lhs );
-        atom_rhs = getQuantifiersEngine()->getTermDatabase()->d_zero;
+        atom_rhs = getQuantifiersEngine()->getTermUtil()->d_zero;
       }
       //must be an eligible term
       if( isEligible( atom_lhs ) ){
@@ -968,7 +969,7 @@ void CegInstantiator::collectCeAtoms( Node n, std::map< Node, bool >& visited )
     d_is_nested_quant = true;
   }else if( visited.find( n )==visited.end() ){
     visited[n] = true;
-    if( TermDb::isBoolConnectiveTerm( n ) ){
+    if( TermUtil::isBoolConnectiveTerm( n ) ){
       for( unsigned i=0; i<n.getNumChildren(); i++ ){
         collectCeAtoms( n[i], visited );
       }
@@ -1084,7 +1085,7 @@ void CegInstantiator::registerCounterexampleLemma( std::vector< Node >& lems, st
 
 
 Instantiator::Instantiator( QuantifiersEngine * qe, TypeNode tn ) : d_type( tn ){
-  d_closed_enum_type = qe->getTermDatabase()->isClosedEnumerableType( tn );
+  d_closed_enum_type = qe->getTermUtil()->isClosedEnumerableType( tn );
 }
 
 
diff --git a/src/theory/quantifiers/ceg_t_instantiator.cpp b/src/theory/quantifiers/ceg_t_instantiator.cpp
index 498d618d1..642ec8fcc 100644
--- a/src/theory/quantifiers/ceg_t_instantiator.cpp
+++ b/src/theory/quantifiers/ceg_t_instantiator.cpp
@@ -17,6 +17,7 @@
 #include "options/quantifiers_options.h"
 #include "theory/quantifiers/first_order_model.h"
 #include "theory/quantifiers/term_database.h"
+#include "theory/quantifiers/term_util.h"
 #include "theory/quantifiers/quantifiers_rewriter.h"
 #include "theory/quantifiers/trigger.h"
 
@@ -86,7 +87,7 @@ Node ArithInstantiator::getModelBasedProjectionValue( CegInstantiator * ci, Node
   }
   if( !delta_coeff.isNull() ){
     //create delta here if necessary
-    val = NodeManager::currentNM()->mkNode( PLUS, val, NodeManager::currentNM()->mkNode( MULT, delta_coeff, ci->getQuantifiersEngine()->getTermDatabase()->getVtsDelta() ) );
+    val = NodeManager::currentNM()->mkNode( PLUS, val, NodeManager::currentNM()->mkNode( MULT, delta_coeff, ci->getQuantifiersEngine()->getTermUtil()->getVtsDelta() ) );
     val = Rewriter::rewrite( val );
   }
   return val;
@@ -148,7 +149,7 @@ int ArithInstantiator::solve_arith( CegInstantiator * ci, Node pv, Node atom, No
       }
       if( options::cbqiAll() ){
         // when not pure LIA/LRA, we must check whether the lhs contains pv
-        if( TermDb::containsTerm( val, pv ) ){
+        if( TermUtil::containsTerm( val, pv ) ){
           Trace("cegqi-arith-debug") << "fail : contains bad term" << std::endl;
           return 0;
         }
@@ -156,7 +157,7 @@ int ArithInstantiator::solve_arith( CegInstantiator * ci, Node pv, Node atom, No
       if( pvtn.isInteger() && ( ( !veq_c.isNull() && !veq_c.getType().isInteger() ) || !val.getType().isInteger() ) ){
         //redo, split integer/non-integer parts
         bool useCoeff = false;
-        Integer coeff = ci->getQuantifiersEngine()->getTermDatabase()->d_one.getConst<Rational>().getNumerator();
+        Integer coeff = ci->getQuantifiersEngine()->getTermUtil()->d_one.getConst<Rational>().getNumerator();
         for( std::map< Node, Node >::iterator it = msum.begin(); it != msum.end(); ++it ){
           if( it->first.isNull() || it->first.getType().isInteger() ){
             if( !it->second.isNull() ){
@@ -186,7 +187,7 @@ int ArithInstantiator::solve_arith( CegInstantiator * ci, Node pv, Node atom, No
         if( !vts_coeff[0].isNull() ){
           vts_coeff[0] = Rewriter::rewrite( NodeManager::currentNM()->mkNode( MULT, rcoeff, vts_coeff[0] ) );
         }
-        realPart = real_part.empty() ? ci->getQuantifiersEngine()->getTermDatabase()->d_zero : ( real_part.size()==1 ? real_part[0] : NodeManager::currentNM()->mkNode( PLUS, real_part ) );
+        realPart = real_part.empty() ? ci->getQuantifiersEngine()->getTermUtil()->d_zero : ( real_part.size()==1 ? real_part[0] : NodeManager::currentNM()->mkNode( PLUS, real_part ) );
         Assert( ci->getOutput()->isEligibleForInstantiation( realPart ) );
         //re-isolate
         Trace("cegqi-arith-debug") << "Re-isolate..." << std::endl;
@@ -213,8 +214,8 @@ int ArithInstantiator::solve_arith( CegInstantiator * ci, Node pv, Node atom, No
 }
 
 void ArithInstantiator::reset( CegInstantiator * ci, SolvedForm& sf, Node pv, unsigned effort ) {
-  d_vts_sym[0] = ci->getQuantifiersEngine()->getTermDatabase()->getVtsInfinity( d_type, false, false );
-  d_vts_sym[1] = ci->getQuantifiersEngine()->getTermDatabase()->getVtsDelta( false, false );
+  d_vts_sym[0] = ci->getQuantifiersEngine()->getTermUtil()->getVtsInfinity( d_type, false, false );
+  d_vts_sym[1] = ci->getQuantifiersEngine()->getTermUtil()->getVtsDelta( false, false );
   for( unsigned i=0; i<2; i++ ){
     d_mbp_bounds[i].clear();
     d_mbp_coeff[i].clear();
@@ -323,7 +324,7 @@ bool ArithInstantiator::processAssertion( CegInstantiator * ci, SolvedForm& sf,
             Node cmp = NodeManager::currentNM()->mkNode( GEQ, lhs_value, rhs_value );
             cmp = Rewriter::rewrite( cmp );
             Assert( cmp.isConst() );
-            is_upper = ( cmp!=ci->getQuantifiersEngine()->getTermDatabase()->d_true );
+            is_upper = ( cmp!=ci->getQuantifiersEngine()->getTermUtil()->d_true );
           }
         }else{
           is_upper = (r==0);
@@ -354,7 +355,7 @@ bool ArithInstantiator::processAssertion( CegInstantiator * ci, SolvedForm& sf,
             vts_coeff_delta = Rewriter::rewrite( vts_coeff_delta );
           }
         }else{
-          Node delta = ci->getQuantifiersEngine()->getTermDatabase()->getVtsDelta();
+          Node delta = ci->getQuantifiersEngine()->getTermUtil()->getVtsDelta();
           uval = NodeManager::currentNM()->mkNode( uires==2 ? PLUS : MINUS, uval, delta );
           uval = Rewriter::rewrite( uval );
         }
@@ -392,8 +393,8 @@ bool ArithInstantiator::processAssertions( CegInstantiator * ci, SolvedForm& sf,
     }
     int best_used[2];
     std::vector< Node > t_values[3];
-    Node zero = ci->getQuantifiersEngine()->getTermDatabase()->d_zero;
-    Node one = ci->getQuantifiersEngine()->getTermDatabase()->d_one;
+    Node zero = ci->getQuantifiersEngine()->getTermUtil()->d_zero;
+    Node one = ci->getQuantifiersEngine()->getTermUtil()->d_one;
     Node pv_value = ci->getModelValue( pv );
     //try optimal bounds
     for( unsigned r=0; r<2; r++ ){
@@ -403,7 +404,7 @@ bool ArithInstantiator::processAssertions( CegInstantiator * ci, SolvedForm& sf,
         if( use_inf ){
           Trace("cegqi-arith-bound") << "No " << ( rr==0 ? "lower" : "upper" ) << " bounds for " << pv << " (type=" << d_type << ")" << std::endl;
           //no bounds, we do +- infinity
-          Node val = ci->getQuantifiersEngine()->getTermDatabase()->getVtsInfinity( d_type );
+          Node val = ci->getQuantifiersEngine()->getTermUtil()->getVtsInfinity( d_type );
           //TODO : rho value for infinity?
           if( rr==0 ){
             val = NodeManager::currentNM()->mkNode( UMINUS, val );
@@ -472,7 +473,7 @@ bool ArithInstantiator::processAssertions( CegInstantiator * ci, SolvedForm& sf,
                 Kind k = rr==0 ? GEQ : LEQ;
                 Node cmp_bound = NodeManager::currentNM()->mkNode( k, value[t], best_bound_value[t] );
                 cmp_bound = Rewriter::rewrite( cmp_bound );
-                if( cmp_bound!=ci->getQuantifiersEngine()->getTermDatabase()->d_true ){
+                if( cmp_bound!=ci->getQuantifiersEngine()->getTermUtil()->d_true ){
                   new_best = false;
                   break;
                 }
@@ -640,8 +641,8 @@ bool ArithInstantiator::postProcessInstantiationForVariable( CegInstantiator * c
             NodeManager::currentNM()->mkNode( ITE,
               NodeManager::currentNM()->mkNode( EQUAL,
                 NodeManager::currentNM()->mkNode( INTS_MODULUS_TOTAL, veq[1], veq_c ),
-                ci->getQuantifiersEngine()->getTermDatabase()->d_zero ),
-              ci->getQuantifiersEngine()->getTermDatabase()->d_zero, ci->getQuantifiersEngine()->getTermDatabase()->d_one )
+                ci->getQuantifiersEngine()->getTermUtil()->d_zero ),
+              ci->getQuantifiersEngine()->getTermUtil()->d_zero, ci->getQuantifiersEngine()->getTermUtil()->d_one )
           );
         }
       }
@@ -695,7 +696,7 @@ Node DtInstantiator::solve_dt( Node v, Node a, Node b, Node sa, Node sb ) {
   }
   if( !ret.isNull() ){
     //ensure does not contain
-    if( TermDb::containsTerm( ret, v ) ){
+    if( TermUtil::containsTerm( ret, v ) ){
       ret = Node::null();
     }
   }
@@ -784,7 +785,7 @@ void EprInstantiator::computeMatchScore( CegInstantiator * ci, Node pv, Node cat
 }
 
 void EprInstantiator::computeMatchScore( CegInstantiator * ci, Node pv, Node catom, Node eqc, std::map< Node, int >& match_score ) {
-  if( inst::Trigger::isAtomicTrigger( catom ) && TermDb::containsTerm( catom, pv ) ){
+  if( inst::Trigger::isAtomicTrigger( catom ) && TermUtil::containsTerm( catom, pv ) ){
     Trace("cegqi-epr") << "Find matches for " << catom << "..." << std::endl;
     std::vector< Node > arg_reps;
     for( unsigned j=0; j<catom.getNumChildren(); j++ ){
diff --git a/src/theory/quantifiers/conjecture_generator.cpp b/src/theory/quantifiers/conjecture_generator.cpp
index c25c52243..508f58a07 100644
--- a/src/theory/quantifiers/conjecture_generator.cpp
+++ b/src/theory/quantifiers/conjecture_generator.cpp
@@ -17,6 +17,7 @@
 #include "theory/quantifiers/conjecture_generator.h"
 #include "theory/quantifiers/first_order_model.h"
 #include "theory/quantifiers/term_database.h"
+#include "theory/quantifiers/term_util.h"
 #include "theory/quantifiers/trigger.h"
 #include "theory/theory_engine.h"
 
@@ -284,7 +285,7 @@ TNode ConjectureGenerator::getUniversalRepresentative( TNode n, bool add ) {
 }
 
 Node ConjectureGenerator::getFreeVar( TypeNode tn, unsigned i ) {
-  return d_quantEngine->getTermDatabase()->getCanonicalFreeVar( tn, i );
+  return d_quantEngine->getTermUtil()->getCanonicalFreeVar( tn, i );
 }
 
 bool ConjectureGenerator::isHandledTerm( TNode n ){
@@ -359,11 +360,11 @@ void ConjectureGenerator::check( Theory::Effort e, unsigned quant_e ) {
         Trace("sg-proc-debug") << "...eqc : " << r << std::endl;
         eqcs.push_back( r );
         if( r.getType().isBoolean() ){
-          if( areEqual( r, getTermDatabase()->d_true ) ){
-            d_ground_eqc_map[r] = getTermDatabase()->d_true;
+          if( areEqual( r, getTermUtil()->d_true ) ){
+            d_ground_eqc_map[r] = getTermUtil()->d_true;
             d_bool_eqc[0] = r;
-          }else if( areEqual( r, getTermDatabase()->d_false ) ){
-            d_ground_eqc_map[r] = getTermDatabase()->d_false;
+          }else if( areEqual( r, getTermUtil()->d_false ) ){
+            d_ground_eqc_map[r] = getTermUtil()->d_false;
             d_bool_eqc[1] = r;
           }
         }
@@ -397,7 +398,7 @@ void ConjectureGenerator::check( Theory::Effort e, unsigned quant_e ) {
             std::vector< TNode > args;
             Trace("sg-pat-debug") << "******* Get ground term for " << r << std::endl;
             Node n;
-            if( getTermDatabase()->isInductionTerm( r ) ){
+            if( getTermUtil()->isInductionTerm( r ) ){
               n = d_op_arg_index[r].getGroundTerm( this, args );
             }else{
               n = r;
@@ -427,7 +428,7 @@ void ConjectureGenerator::check( Theory::Effort e, unsigned quant_e ) {
           TNode r = eqcs[i];
           //print out members
           bool firstTime = true;
-          bool isFalse = areEqual( r, getTermDatabase()->d_false );
+          bool isFalse = areEqual( r, getTermUtil()->d_false );
           eq::EqClassIterator eqc_i = eq::EqClassIterator( r, ee );
           while( !eqc_i.isFinished() ){
             TNode n = (*eqc_i);
@@ -511,7 +512,7 @@ void ConjectureGenerator::check( Theory::Effort e, unsigned quant_e ) {
               if( d_tge.isRelevantTerm( eq ) ){
                 //make it canonical
                 Trace("sg-proc-debug") << "get canonical " << eq << std::endl;
-                eq = d_quantEngine->getTermDatabase()->getCanonicalTerm( eq );
+                eq = d_quantEngine->getTermUtil()->getCanonicalTerm( eq );
               }else{
                 eq = Node::null();
               }
@@ -556,11 +557,11 @@ void ConjectureGenerator::check( Theory::Effort e, unsigned quant_e ) {
           //check each skolem variable
           bool disproven = true;
           //std::vector< Node > sk;
-          //getTermDatabase()->getSkolemConstants( q, sk, true );
+          //getTermUtil()->getSkolemConstants( q, sk, true );
           Trace("sg-conjecture") << "    CONJECTURE : ";
           std::vector< Node > ce;
-          for( unsigned j=0; j<getTermDatabase()->d_skolem_constants[q].size(); j++ ){
-            TNode k = getTermDatabase()->d_skolem_constants[q][j];
+          for( unsigned j=0; j<getTermUtil()->d_skolem_constants[q].size(); j++ ){
+            TNode k = getTermUtil()->d_skolem_constants[q][j];
             TNode rk = getRepresentative( k );
             std::map< TNode, Node >::iterator git = d_ground_eqc_map.find( rk );
             //check if it is a ground term
@@ -568,7 +569,7 @@ void ConjectureGenerator::check( Theory::Effort e, unsigned quant_e ) {
               Trace("sg-conjecture") << "ACTIVE : " << q;
               if( Trace.isOn("sg-gen-eqc") ){
                 Trace("sg-conjecture") << " { ";
-                for( unsigned k=0; k<getTermDatabase()->d_skolem_constants[q].size(); k++ ){ Trace("sg-conjecture") << getTermDatabase()->d_skolem_constants[q][k] << ( j==k ? "*" : "" ) << " "; }
+                for( unsigned k=0; k<getTermUtil()->d_skolem_constants[q].size(); k++ ){ Trace("sg-conjecture") << getTermUtil()->d_skolem_constants[q][k] << ( j==k ? "*" : "" ) << " "; }
                 Trace("sg-conjecture") << "}";
               }
               Trace("sg-conjecture") << std::endl;
@@ -653,7 +654,7 @@ void ConjectureGenerator::check( Theory::Effort e, unsigned quant_e ) {
                 typ_to_subs_index[it->first] = sum;
                 sum += it->second;
                 for( unsigned i=0; i<it->second; i++ ){
-                  gsubs_vars.push_back( d_quantEngine->getTermDatabase()->getCanonicalFreeVar( it->first, i ) );
+                  gsubs_vars.push_back( d_quantEngine->getTermUtil()->getCanonicalFreeVar( it->first, i ) );
                 }
               }
             }
@@ -1055,7 +1056,7 @@ void ConjectureGenerator::getEnumerateUfTerm( Node n, unsigned num, std::vector<
     for( unsigned i=0; i<n.getNumChildren(); i++ ){
       vec.push_back( 0 );
       TypeNode tn = n[i].getType();
-      if( getTermDatabase()->isClosedEnumerableType( tn ) ){
+      if( getTermUtil()->isClosedEnumerableType( tn ) ){
         types.push_back( tn );
       }else{
         return;
@@ -1073,7 +1074,7 @@ void ConjectureGenerator::getEnumerateUfTerm( Node n, unsigned num, std::vector<
         vec.push_back( size_limit );
       }else{
         //see if we can iterate current
-        if( vec_sum<size_limit && !getTermDatabase()->getEnumerateTerm( types[index], vec[index]+1 ).isNull() ){
+        if( vec_sum<size_limit && !getTermUtil()->getEnumerateTerm( types[index], vec[index]+1 ).isNull() ){
           vec[index]++;
           vec_sum++;
           vec.push_back( size_limit - vec_sum );
@@ -1088,7 +1089,7 @@ void ConjectureGenerator::getEnumerateUfTerm( Node n, unsigned num, std::vector<
       }
       if( success ){
         if( vec.size()==n.getNumChildren() ){
-          Node lc = getTermDatabase()->getEnumerateTerm( types[vec.size()-1], vec[vec.size()-1] );
+          Node lc = getTermUtil()->getEnumerateTerm( types[vec.size()-1], vec[vec.size()-1] );
           if( !lc.isNull() ){
             for( unsigned i=0; i<vec.size(); i++ ){
               Trace("sg-gt-enum-debug") << vec[i] << " ";
@@ -1101,7 +1102,7 @@ void ConjectureGenerator::getEnumerateUfTerm( Node n, unsigned num, std::vector<
             std::vector< Node > children;
             children.push_back( n.getOperator() );
             for( unsigned i=0; i<(vec.size()-1); i++ ){
-              Node nn = getTermDatabase()->getEnumerateTerm( types[i], vec[i] );
+              Node nn = getTermUtil()->getEnumerateTerm( types[i], vec[i] );
               Assert( !nn.isNull() );
               Assert( nn.getType()==n[i].getType() );
               children.push_back( nn );
diff --git a/src/theory/quantifiers/equality_query.cpp b/src/theory/quantifiers/equality_query.cpp
new file mode 100644
index 000000000..4acc3e6b8
--- /dev/null
+++ b/src/theory/quantifiers/equality_query.cpp
@@ -0,0 +1,336 @@
+/*********************                                                        */
+/*! \file equality_query.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 Utilities used for querying about equality information
+ **/
+
+#include "theory/quantifiers/equality_query.h"
+
+#include "options/quantifiers_options.h"
+#include "theory/quantifiers/first_order_model.h"
+#include "theory/quantifiers/equality_infer.h"
+#include "theory/quantifiers/term_database.h"
+#include "theory/quantifiers/term_util.h"
+#include "theory/theory_engine.h"
+#include "theory/uf/equality_engine.h"
+
+using namespace std;
+using namespace CVC4;
+using namespace CVC4::kind;
+using namespace CVC4::context;
+using namespace CVC4::theory;
+using namespace CVC4::theory::quantifiers;
+
+EqualityQueryQuantifiersEngine::EqualityQueryQuantifiersEngine( context::Context* c, QuantifiersEngine* qe ) : d_qe( qe ), d_eqi_counter( c ), d_reset_count( 0 ){
+
+}
+
+EqualityQueryQuantifiersEngine::~EqualityQueryQuantifiersEngine(){
+}
+
+bool EqualityQueryQuantifiersEngine::reset( Theory::Effort e ){
+  d_int_rep.clear();
+  d_reset_count++;
+  return processInferences( e );
+}
+
+bool EqualityQueryQuantifiersEngine::processInferences( Theory::Effort e ) {
+  if( options::inferArithTriggerEq() ){
+    eq::EqualityEngine* ee = getEngine();
+    //updated implementation
+    EqualityInference * ei = d_qe->getEqualityInference();
+    while( d_eqi_counter.get()<ei->getNumPendingMerges() ){
+      Node eq = ei->getPendingMerge( d_eqi_counter.get() );
+      Node eq_exp = ei->getPendingMergeExplanation( d_eqi_counter.get() );
+      Trace("quant-engine-ee-proc") << "processInferences : Infer : " << eq << std::endl;
+      Trace("quant-engine-ee-proc") << "      explanation : " << eq_exp << std::endl;
+      Assert( ee->hasTerm( eq[0] ) );
+      Assert( ee->hasTerm( eq[1] ) );
+      if( areDisequal( eq[0], eq[1] ) ){
+        Trace("quant-engine-ee-proc") << "processInferences : Conflict : " << eq << std::endl;
+        if( Trace.isOn("term-db-lemma") ){
+          Trace("term-db-lemma") << "Disequal terms, equal by normalization : " << eq[0] << " " << eq[1] << "!!!!" << std::endl;
+          if( !d_qe->getTheoryEngine()->needCheck() ){
+            Trace("term-db-lemma") << "  all theories passed with no lemmas." << std::endl;
+            //this should really never happen (implies arithmetic is incomplete when sharing is enabled)
+            Assert( false );
+          }
+          Trace("term-db-lemma") << "  add split on : " << eq << std::endl;
+        }
+        d_qe->addSplit( eq );
+        return false;
+      }else{
+        ee->assertEquality( eq, true, eq_exp );
+        d_eqi_counter = d_eqi_counter.get() + 1;
+      }
+    }
+    Assert( ee->consistent() );
+  }
+  return true;
+}
+
+bool EqualityQueryQuantifiersEngine::hasTerm( Node a ){
+  return getEngine()->hasTerm( a );
+}
+
+Node EqualityQueryQuantifiersEngine::getRepresentative( Node a ){
+  eq::EqualityEngine* ee = getEngine();
+  if( ee->hasTerm( a ) ){
+    return ee->getRepresentative( a );
+  }else{
+    return a;
+  }
+}
+
+bool EqualityQueryQuantifiersEngine::areEqual( Node a, Node b ){
+  if( a==b ){
+    return true;
+  }else{
+    eq::EqualityEngine* ee = getEngine();
+    if( ee->hasTerm( a ) && ee->hasTerm( b ) ){
+      return ee->areEqual( a, b );
+    }else{
+      return false;
+    }
+  }
+}
+
+bool EqualityQueryQuantifiersEngine::areDisequal( Node a, Node b ){
+  if( a==b ){
+    return false;
+  }else{
+    eq::EqualityEngine* ee = getEngine();
+    if( ee->hasTerm( a ) && ee->hasTerm( b ) ){
+      return ee->areDisequal( a, b, false );
+    }else{
+      return a.isConst() && b.isConst();
+    }
+  }
+}
+
+Node EqualityQueryQuantifiersEngine::getInternalRepresentative( Node a, Node f, int index ){
+  Assert( f.isNull() || f.getKind()==FORALL );
+  Node r = getRepresentative( a );
+  if( options::finiteModelFind() ){
+    if( r.isConst() && quantifiers::TermUtil::containsUninterpretedConstant( r ) ){
+      //map back from values assigned by model, if any
+      if( d_qe->getModel() ){
+        std::map< Node, Node >::iterator it = d_qe->getModel()->d_rep_set.d_values_to_terms.find( r );
+        if( it!=d_qe->getModel()->d_rep_set.d_values_to_terms.end() ){
+          r = it->second;
+          r = getRepresentative( r );
+        }else{
+          if( r.getType().isSort() ){
+            Trace("internal-rep-warn") << "No representative for UF constant." << std::endl;
+            //should never happen : UF constants should never escape model
+            Assert( false );
+          }
+        }
+      }
+    }
+  }
+  if( options::quantRepMode()==quantifiers::QUANT_REP_MODE_EE ){
+    return r;
+  }else{
+    TypeNode v_tn = f.isNull() ? a.getType() : f[0][index].getType();
+    std::map< Node, Node >::iterator itir = d_int_rep[v_tn].find( r );
+    if( itir==d_int_rep[v_tn].end() ){
+      //find best selection for representative
+      Node r_best;
+      //if( options::fmfRelevantDomain() && !f.isNull() ){
+      //  Trace("internal-rep-debug") << "Consult relevant domain to mkRep " << r << std::endl;
+      //  r_best = d_qe->getRelevantDomain()->getRelevantTerm( f, index, r );
+      //  Trace("internal-rep-debug") << "Returned " << r_best << " " << r << std::endl;
+      //}
+      std::vector< Node > eqc;
+      getEquivalenceClass( r, eqc );
+      Trace("internal-rep-select") << "Choose representative for equivalence class : { ";
+      for( unsigned i=0; i<eqc.size(); i++ ){
+        if( i>0 ) Trace("internal-rep-select") << ", ";
+        Trace("internal-rep-select") << eqc[i];
+      }
+      Trace("internal-rep-select")  << " }, type = " << v_tn << std::endl;
+      int r_best_score = -1;
+      for( size_t i=0; i<eqc.size(); i++ ){
+        int score = getRepScore( eqc[i], f, index, v_tn );
+        if( score!=-2 ){
+          if( r_best.isNull() || ( score>=0 && ( r_best_score<0 || score<r_best_score ) ) ){
+            r_best = eqc[i];
+            r_best_score = score;
+          }
+        }
+      }
+      if( r_best.isNull() ){
+        Trace("internal-rep-warn") << "No valid choice for representative in eqc class." << std::endl;
+        r_best = r;
+      }
+      //now, make sure that no other member of the class is an instance
+      std::unordered_map<TNode, Node, TNodeHashFunction> cache;
+      r_best = getInstance( r_best, eqc, cache );
+      //store that this representative was chosen at this point
+      if( d_rep_score.find( r_best )==d_rep_score.end() ){
+        d_rep_score[ r_best ] = d_reset_count;
+      }
+      Trace("internal-rep-select") << "...Choose " << r_best << " with score " << r_best_score << std::endl;
+      Assert( r_best.getType().isSubtypeOf( v_tn ) );
+      d_int_rep[v_tn][r] = r_best;
+      if( r_best!=a ){
+        Trace("internal-rep-debug") << "rep( " << a << " ) = " << r << ", " << std::endl;
+        Trace("internal-rep-debug") << "int_rep( " << a << " ) = " << r_best << ", " << std::endl;
+      }
+      return r_best;
+    }else{
+      return itir->second;
+    }
+  }
+}
+
+void EqualityQueryQuantifiersEngine::flattenRepresentatives( std::map< TypeNode, std::vector< Node > >& reps ) {
+  //make sure internal representatives currently exist
+  for( std::map< TypeNode, std::vector< Node > >::iterator it = reps.begin(); it != reps.end(); ++it ){
+    if( it->first.isSort() ){
+      for( unsigned i=0; i<it->second.size(); i++ ){
+        Node r = getInternalRepresentative( it->second[i], Node::null(), 0 );
+      }
+    }
+  }
+  Trace("internal-rep-flatten") << "---Flattening representatives : " << std::endl;
+  for( std::map< TypeNode, std::map< Node, Node > >::iterator itt = d_int_rep.begin(); itt != d_int_rep.end(); ++itt ){
+    for( std::map< Node, Node >::iterator it = itt->second.begin(); it != itt->second.end(); ++it ){
+      Trace("internal-rep-flatten") << itt->first << " : irep( " << it->first << " ) = " << it->second << std::endl;
+    }
+  }
+  //store representatives for newly created terms
+  std::map< Node, Node > temp_rep_map;
+
+  bool success;
+  do {
+    success = false;
+    for( std::map< TypeNode, std::map< Node, Node > >::iterator itt = d_int_rep.begin(); itt != d_int_rep.end(); ++itt ){
+      for( std::map< Node, Node >::iterator it = itt->second.begin(); it != itt->second.end(); ++it ){
+        if( it->second.getKind()==APPLY_UF && it->second.getType().isSort() ){
+          Node ni = it->second;
+          std::vector< Node > cc;
+          cc.push_back( it->second.getOperator() );
+          bool changed = false;
+          for( unsigned j=0; j<ni.getNumChildren(); j++ ){
+            if( ni[j].getType().isSort() ){
+              Node r = getRepresentative( ni[j] );
+              if( itt->second.find( r )==itt->second.end() ){
+                Assert( temp_rep_map.find( r )!=temp_rep_map.end() );
+                r = temp_rep_map[r];
+              }
+              if( r==ni ){
+                //found sub-term as instance
+                Trace("internal-rep-flatten-debug") << "...Changed " << it->second << " to subterm " << ni[j] << std::endl;
+                itt->second[it->first] = ni[j];
+                changed = false;
+                success = true;
+                break;
+              }else{
+                Node ir = itt->second[r];
+                cc.push_back( ir );
+                if( ni[j]!=ir ){
+                  changed = true;
+                }
+              }
+            }else{
+              changed = false;
+              break;
+            }
+          }
+          if( changed ){
+            Node n = NodeManager::currentNM()->mkNode( APPLY_UF, cc );
+            Trace("internal-rep-flatten-debug") << "...Changed " << it->second << " to " << n << std::endl;
+            success = true;
+            itt->second[it->first] = n;
+            temp_rep_map[n] = it->first;
+          }
+        }
+      }
+    }
+  }while( success );
+  Trace("internal-rep-flatten") << "---After flattening : " << std::endl;
+  for( std::map< TypeNode, std::map< Node, Node > >::iterator itt = d_int_rep.begin(); itt != d_int_rep.end(); ++itt ){
+    for( std::map< Node, Node >::iterator it = itt->second.begin(); it != itt->second.end(); ++it ){
+      Trace("internal-rep-flatten") << itt->first << " : irep( " << it->first << " ) = " << it->second << std::endl;
+    }
+  }
+}
+
+eq::EqualityEngine* EqualityQueryQuantifiersEngine::getEngine(){
+  return d_qe->getActiveEqualityEngine();
+}
+
+void EqualityQueryQuantifiersEngine::getEquivalenceClass( Node a, std::vector< Node >& eqc ){
+  eq::EqualityEngine* ee = getEngine();
+  if( ee->hasTerm( a ) ){
+    Node rep = ee->getRepresentative( a );
+    eq::EqClassIterator eqc_iter( rep, ee );
+    while( !eqc_iter.isFinished() ){
+      eqc.push_back( *eqc_iter );
+      eqc_iter++;
+    }
+  }else{
+    eqc.push_back( a );
+  }
+  //a should be in its equivalence class
+  Assert( std::find( eqc.begin(), eqc.end(), a )!=eqc.end() );
+}
+
+TNode EqualityQueryQuantifiersEngine::getCongruentTerm( Node f, std::vector< TNode >& args ) {
+  return d_qe->getTermDatabase()->getCongruentTerm( f, args );
+}
+
+//helper functions
+
+Node EqualityQueryQuantifiersEngine::getInstance( Node n, const std::vector< Node >& eqc, std::unordered_map<TNode, Node, TNodeHashFunction>& cache ){
+  if(cache.find(n) != cache.end()) {
+    return cache[n];
+  }
+  for( size_t i=0; i<n.getNumChildren(); i++ ){
+    Node nn = getInstance( n[i], eqc, cache );
+    if( !nn.isNull() ){
+      return cache[n] = nn;
+    }
+  }
+  if( std::find( eqc.begin(), eqc.end(), n )!=eqc.end() ){
+    return cache[n] = n;
+  }else{
+    return cache[n] = Node::null();
+  }
+}
+
+//-2 : invalid, -1 : undesired, otherwise : smaller the score, the better
+int EqualityQueryQuantifiersEngine::getRepScore( Node n, Node f, int index, TypeNode v_tn ){
+  if( options::cbqi() && quantifiers::TermUtil::hasInstConstAttr(n) ){  //reject
+    return -2;
+  }else if( !n.getType().isSubtypeOf( v_tn ) ){  //reject if incorrect type
+    return -2;
+  }else if( options::lteRestrictInstClosure() && ( !d_qe->getTermDatabase()->isInstClosure( n ) || !d_qe->getTermDatabase()->hasTermCurrent( n, false ) ) ){
+    return -1;
+  }else if( options::instMaxLevel()!=-1 ){
+    //score prefer lowest instantiation level
+    if( n.hasAttribute(InstLevelAttribute()) ){
+      return n.getAttribute(InstLevelAttribute());
+    }else{
+      return options::instLevelInputOnly() ? -1 : 0;
+    }
+  }else{
+    if( options::quantRepMode()==quantifiers::QUANT_REP_MODE_FIRST ){
+      //score prefers earliest use of this term as a representative
+      return d_rep_score.find( n )==d_rep_score.end() ? -1 : d_rep_score[n];
+    }else{
+      Assert( options::quantRepMode()==quantifiers::QUANT_REP_MODE_DEPTH );
+      return quantifiers::TermUtil::getTermDepth( n );
+    }
+  }
+}
diff --git a/src/theory/quantifiers/equality_query.h b/src/theory/quantifiers/equality_query.h
new file mode 100644
index 000000000..c3e0a8c5b
--- /dev/null
+++ b/src/theory/quantifiers/equality_query.h
@@ -0,0 +1,76 @@
+/*********************                                                        */
+/*! \file equality_query.h
+ ** \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 Equality query class
+ **/
+
+#include "cvc4_private.h"
+
+#ifndef __CVC4__THEORY__QUANTIFIERS_EQUALITY_QUERY_H
+#define __CVC4__THEORY__QUANTIFIERS_EQUALITY_QUERY_H
+
+#include "theory/quantifiers_engine.h"
+
+namespace CVC4 {
+namespace theory {
+namespace quantifiers {
+
+// TODO : (as part of #1171, #1214) further document and clean this class.
+/** equality query object using theory engine */
+class EqualityQueryQuantifiersEngine : public EqualityQuery
+{
+private:
+  /** pointer to theory engine */
+  QuantifiersEngine* d_qe;
+  /** quantifiers equality inference */
+  context::CDO< unsigned > d_eqi_counter;
+  /** internal representatives */
+  std::map< TypeNode, std::map< Node, Node > > d_int_rep;
+  /** rep score */
+  std::map< Node, int > d_rep_score;
+  /** reset count */
+  int d_reset_count;
+
+  /** processInferences : will merge equivalence classes in master equality engine, if possible */
+  bool processInferences( Theory::Effort e );
+  /** node contains */
+  Node getInstance( Node n, const std::vector< Node >& eqc, std::unordered_map<TNode, Node, TNodeHashFunction>& cache );
+  /** get score */
+  int getRepScore( Node n, Node f, int index, TypeNode v_tn );
+  /** flatten representatives */
+  void flattenRepresentatives( std::map< TypeNode, std::vector< Node > >& reps );
+public:
+  EqualityQueryQuantifiersEngine( context::Context* c, QuantifiersEngine* qe );
+  virtual ~EqualityQueryQuantifiersEngine();
+  /** reset */
+  bool reset( Theory::Effort e );
+  /** identify */
+  std::string identify() const { return "EqualityQueryQE"; }
+  /** general queries about equality */
+  bool hasTerm( Node a );
+  Node getRepresentative( Node a );
+  bool areEqual( Node a, Node b );
+  bool areDisequal( Node a, Node b );
+  eq::EqualityEngine* getEngine();
+  void getEquivalenceClass( Node a, std::vector< Node >& eqc );
+  TNode getCongruentTerm( Node f, std::vector< TNode >& args );
+  /** getInternalRepresentative gets the current best representative in the equivalence class of a, based on some criteria.
+      If cbqi is active, this will return a term in the equivalence class of "a" that does
+      not contain instantiation constants, if such a term exists.
+   */
+  Node getInternalRepresentative( Node a, Node f, int index );
+}; /* EqualityQueryQuantifiersEngine */
+
+}/* CVC4::theory::quantifiers namespace */
+}/* CVC4::theory namespace */
+}/* CVC4 namespace */
+
+#endif /* __CVC4__THEORY__QUANTIFIERS_EQUALITY_QUERY_H */
diff --git a/src/theory/quantifiers/first_order_model.cpp b/src/theory/quantifiers/first_order_model.cpp
index 0ffa0c115..462dc23d0 100644
--- a/src/theory/quantifiers/first_order_model.cpp
+++ b/src/theory/quantifiers/first_order_model.cpp
@@ -19,6 +19,7 @@
 #include "theory/quantifiers/model_engine.h"
 #include "theory/quantifiers/quantifiers_attributes.h"
 #include "theory/quantifiers/term_database.h"
+#include "theory/quantifiers/term_util.h"
 
 #define USE_INDEX_ORDERING
 
@@ -521,7 +522,7 @@ struct sortGetMaxVariableNum {
   int computeMaxVariableNum( Node n ){
     if( n.getKind()==INST_CONSTANT ){
       return n.getAttribute(InstVarNumAttribute());
-    }else if( TermDb::hasInstConstAttr(n) ){
+    }else if( TermUtil::hasInstConstAttr(n) ){
       int maxVal = -1;
       for( int i=0; i<(int)n.getNumChildren(); i++ ){
         int val = getMaxVariableNum( n[i] );
@@ -710,7 +711,7 @@ Node FirstOrderModelFmc::getFunctionValue(Node op, const char* argPrefix ) {
         }else{
           //can happen for types not involved in quantified formulas
           Trace("fmc-model-func") << "No type rep for " << tn << std::endl;
-          v = d_qe->getTermDatabase()->getEnumerateTerm( tn, 0 );
+          v = d_qe->getTermUtil()->getEnumerateTerm( tn, 0 );
         }
         Trace("fmc-model-func") << "No term, assign " << v << std::endl;
       }
diff --git a/src/theory/quantifiers/full_model_check.cpp b/src/theory/quantifiers/full_model_check.cpp
index 6f617db42..ddf7becf2 100644
--- a/src/theory/quantifiers/full_model_check.cpp
+++ b/src/theory/quantifiers/full_model_check.cpp
@@ -16,6 +16,7 @@
 #include "theory/quantifiers/first_order_model.h"
 #include "theory/quantifiers/full_model_check.h"
 #include "theory/quantifiers/term_database.h"
+#include "theory/quantifiers/term_util.h"
 
 using namespace std;
 using namespace CVC4;
@@ -382,7 +383,7 @@ bool FullModelChecker::processBuildModel(TheoryModel* m){
         Node r = fm->getRepresentative( it->second[a] );
         if( Trace.isOn("fmc-model-debug") ){
           std::vector< Node > eqc;
-          ((EqualityQueryQuantifiersEngine*)d_qe->getEqualityQuery())->getEquivalenceClass( r, eqc );
+          d_qe->getEqualityQuery()->getEquivalenceClass( r, eqc );
           Trace("fmc-model-debug") << "   " << (it->second[a]==r);
           Trace("fmc-model-debug") << " : " << it->second[a] << " : " << r << " : ";
           //Trace("fmc-model-debug") << r2 << " : " << ir << " : ";
diff --git a/src/theory/quantifiers/fun_def_process.cpp b/src/theory/quantifiers/fun_def_process.cpp
index 5bbd4c48e..356e95d1b 100644
--- a/src/theory/quantifiers/fun_def_process.cpp
+++ b/src/theory/quantifiers/fun_def_process.cpp
@@ -17,9 +17,9 @@
 #include <vector>
 
 #include "theory/quantifiers/fun_def_process.h"
-#include "theory/rewriter.h"
+#include "theory/quantifiers/quantifiers_attributes.h"
 #include "theory/quantifiers/term_database.h"
-#include "theory/quantifiers/quant_util.h"
+#include "theory/quantifiers/term_util.h"
 #include "proof/proof_manager.h"
 
 using namespace CVC4;
@@ -34,7 +34,7 @@ void FunDefFmf::simplify( std::vector< Node >& assertions ) {
   std::map< int, Node > subs_head;
   //first pass : find defined functions, transform quantifiers
   for( unsigned i=0; i<assertions.size(); i++ ){
-    Node n = TermDb::getFunDefHead( assertions[i] );
+    Node n = QuantAttributes::getFunDefHead( assertions[i] );
     if( !n.isNull() ){
       Assert( n.getKind()==APPLY_UF );
       Node f = n.getOperator();
@@ -45,7 +45,7 @@ void FunDefFmf::simplify( std::vector< Node >& assertions ) {
         exit( 0 );
       }
 
-      Node bd = TermDb::getFunDefBody( assertions[i] );
+      Node bd = QuantAttributes::getFunDefBody( assertions[i] );
       Trace("fmf-fun-def-debug") << "Process function " << n << ", body = " << bd << std::endl;
       if( !bd.isNull() ){
         d_funcs.push_back( f );
diff --git a/src/theory/quantifiers/inst_match_generator.cpp b/src/theory/quantifiers/inst_match_generator.cpp
index 79a412b3c..31bd1d517 100644
--- a/src/theory/quantifiers/inst_match_generator.cpp
+++ b/src/theory/quantifiers/inst_match_generator.cpp
@@ -19,6 +19,7 @@
 #include "options/datatypes_options.h"
 #include "theory/quantifiers/candidate_generator.h"
 #include "theory/quantifiers/term_database.h"
+#include "theory/quantifiers/term_util.h"
 #include "theory/quantifiers/trigger.h"
 #include "theory/quantifiers_engine.h"
 
@@ -36,7 +37,7 @@ InstMatchGenerator::InstMatchGenerator( Node pat ){
   d_cg = NULL;
   d_needsReset = true;
   d_active_add = false;
-  Assert( quantifiers::TermDb::hasInstConstAttr(pat) );
+  Assert( quantifiers::TermUtil::hasInstConstAttr(pat) );
   d_pattern = pat;
   d_match_pattern = pat;
   d_match_pattern_type = pat.getType();
@@ -99,7 +100,7 @@ void InstMatchGenerator::initialize( Node q, QuantifiersEngine* qe, std::vector<
       //make sure the matching portion of the equality is on the LHS of d_pattern
       //  and record what d_match_pattern is
       for( unsigned i=0; i<2; i++ ){
-        if( !quantifiers::TermDb::hasInstConstAttr(d_match_pattern[i]) || d_match_pattern[i].getKind()==INST_CONSTANT ){
+        if( !quantifiers::TermUtil::hasInstConstAttr(d_match_pattern[i]) || d_match_pattern[i].getKind()==INST_CONSTANT ){
           Node mp = d_match_pattern[1-i];
           Node mpo = d_match_pattern[i];
           if( mp.getKind()!=INST_CONSTANT ){
@@ -127,7 +128,7 @@ void InstMatchGenerator::initialize( Node q, QuantifiersEngine* qe, std::vector<
 
     //now, collect children of d_match_pattern
     for( unsigned i=0; i<d_match_pattern.getNumChildren(); i++ ){
-      Node qa = quantifiers::TermDb::getInstConstAttr(d_match_pattern[i]);
+      Node qa = quantifiers::TermUtil::getInstConstAttr(d_match_pattern[i]);
       if( !qa.isNull() ){
         InstMatchGenerator * cimg = Trigger::getInstMatchGenerator( q, d_match_pattern[i] );
         if( cimg ){
@@ -206,7 +207,7 @@ int InstMatchGenerator::getMatch( Node f, Node t, InstMatch& m, QuantifiersEngin
     std::vector< int > prev;
     //if t is null
     Assert( !t.isNull() );
-    Assert( !quantifiers::TermDb::hasInstConstAttr(t) );
+    Assert( !quantifiers::TermUtil::hasInstConstAttr(t) );
     Assert( d_match_pattern.getKind()==INST_CONSTANT || t.getKind()==d_match_pattern.getKind() );
     Assert( !Trigger::isAtomicTrigger( d_match_pattern ) || t.getOperator()==d_match_pattern.getOperator() );
     //first, check if ground arguments are not equal, or a match is in conflict
@@ -253,20 +254,20 @@ int InstMatchGenerator::getMatch( Node f, Node t, InstMatch& m, QuantifiersEngin
       Node t_match;
       if( pol ){
         if( pat.getKind()==GT ){
-          t_match = NodeManager::currentNM()->mkNode(MINUS, t, qe->getTermDatabase()->d_one);
+          t_match = NodeManager::currentNM()->mkNode(MINUS, t, qe->getTermUtil()->d_one);
         }else{
           t_match = t;
         }
       }else{
         if( pat.getKind()==EQUAL ){
           if( t.getType().isBoolean() ){
-            t_match = NodeManager::currentNM()->mkConst( !q->areEqual( qe->getTermDatabase()->d_true, t ) );
+            t_match = NodeManager::currentNM()->mkConst( !q->areEqual( qe->getTermUtil()->d_true, t ) );
           }else{
             Assert( t.getType().isReal() );
-            t_match = NodeManager::currentNM()->mkNode(PLUS, t, qe->getTermDatabase()->d_one);
+            t_match = NodeManager::currentNM()->mkNode(PLUS, t, qe->getTermUtil()->d_one);
           }
         }else if( pat.getKind()==GEQ ){
-          t_match = NodeManager::currentNM()->mkNode(PLUS, t, qe->getTermDatabase()->d_one);
+          t_match = NodeManager::currentNM()->mkNode(PLUS, t, qe->getTermUtil()->d_one);
         }else if( pat.getKind()==GT ){
           t_match = t;
         }
@@ -552,7 +553,7 @@ int VarMatchGeneratorTermSubs::getNextMatch( Node q, InstMatch& m, QuantifiersEn
 InstMatchGeneratorMultiLinear::InstMatchGeneratorMultiLinear( Node q, std::vector< Node >& pats, QuantifiersEngine* qe ) {
   //order patterns to maximize eager matching failures
   std::map< Node, std::vector< Node > > var_contains;
-  qe->getTermDatabase()->getVarContains( q, pats, var_contains );
+  qe->getTermUtil()->getVarContains( q, pats, var_contains );
   std::map< Node, std::vector< Node > > var_to_node;
   for( std::map< Node, std::vector< Node > >::iterator it = var_contains.begin(); it != var_contains.end(); ++it ){
     for( unsigned i=0; i<it->second.size(); i++ ){
@@ -662,7 +663,7 @@ InstMatchGeneratorMulti::InstMatchGeneratorMulti( Node q, std::vector< Node >& p
 d_f( q ){
   Trace("multi-trigger-cache") << "Making smart multi-trigger for " << q << std::endl;
   std::map< Node, std::vector< Node > > var_contains;
-  qe->getTermDatabase()->getVarContains( q, pats, var_contains );
+  qe->getTermUtil()->getVarContains( q, pats, var_contains );
   //convert to indicies
   for( std::map< Node, std::vector< Node > >::iterator it = var_contains.begin(); it != var_contains.end(); ++it ){
     Trace("multi-trigger-cache") << "Pattern " << it->first << " contains: ";
@@ -793,7 +794,7 @@ void InstMatchGeneratorMulti::processNewInstantiations( QuantifiersEngine* qe, I
     processNewInstantiations2( qe, m, addedLemmas, unique_var_tries, 0 );
   }else if( trieIndex<(int)d_children_trie[childIndex].getOrdering()->d_order.size() ){
     int curr_index = d_children_trie[childIndex].getOrdering()->d_order[trieIndex];
-    //Node curr_ic = qe->getTermDatabase()->getInstantiationConstant( d_f, curr_index );
+    //Node curr_ic = qe->getTermUtil()->getInstantiationConstant( d_f, curr_index );
     Node n = m.get( curr_index );
     if( n.isNull() ){
       //if( d_var_to_node[ curr_index ].size()==1 ){    //FIXME
@@ -861,7 +862,7 @@ void InstMatchGeneratorMulti::processNewInstantiations2( QuantifiersEngine* qe,
     }
     if( trieIndex<(int)d_children_trie[childIndex].getOrdering()->d_order.size() ){
       int curr_index = d_children_trie[childIndex].getOrdering()->d_order[trieIndex];
-      //Node curr_ic = qe->getTermDatabase()->getInstantiationConstant( d_f, curr_index );
+      //Node curr_ic = qe->getTermUtil()->getInstantiationConstant( d_f, curr_index );
       //unique non-set variable, add to InstMatch
       for( std::map< Node, InstMatchTrie >::iterator it = tr->d_data.begin(); it != tr->d_data.end(); ++it ){
         InstMatch mn( &m );
@@ -893,12 +894,12 @@ InstMatchGeneratorSimple::InstMatchGeneratorSimple( Node q, Node pat, Quantifier
   if( d_match_pattern.getKind()==EQUAL ){
     d_eqc = d_match_pattern[1];
     d_match_pattern = d_match_pattern[0];
-    Assert( !quantifiers::TermDb::hasInstConstAttr( d_eqc ) );
+    Assert( !quantifiers::TermUtil::hasInstConstAttr( d_eqc ) );
   }
   Assert( Trigger::isSimpleTrigger( d_match_pattern ) );
   for( unsigned i=0; i<d_match_pattern.getNumChildren(); i++ ){
     if( d_match_pattern[i].getKind()==INST_CONSTANT ){
-      if( !options::cbqi() || quantifiers::TermDb::getInstConstAttr(d_match_pattern[i])==q ){
+      if( !options::cbqi() || quantifiers::TermUtil::getInstConstAttr(d_match_pattern[i])==q ){
         d_var_num[i] = d_match_pattern[i].getAttribute(InstVarNumAttribute());
       }else{
         d_var_num[i] = -1;
diff --git a/src/theory/quantifiers/inst_strategy_cbqi.cpp b/src/theory/quantifiers/inst_strategy_cbqi.cpp
index 52ea7cc62..93505b494 100644
--- a/src/theory/quantifiers/inst_strategy_cbqi.cpp
+++ b/src/theory/quantifiers/inst_strategy_cbqi.cpp
@@ -19,7 +19,9 @@
 #include "theory/arith/theory_arith.h"
 #include "theory/arith/theory_arith_private.h"
 #include "theory/quantifiers/first_order_model.h"
+#include "theory/quantifiers/quantifiers_attributes.h"
 #include "theory/quantifiers/term_database.h"
+#include "theory/quantifiers/term_util.h"
 #include "theory/quantifiers/trigger.h"
 #include "theory/quantifiers/quantifiers_rewriter.h"
 #include "theory/theory_engine.h"
@@ -66,8 +68,8 @@ bool InstStrategyCbqi::registerCbqiLemma( Node q ) {
     Trace("cbqi-debug") << "Do cbqi for " << q << std::endl;
     //add cbqi lemma
     //get the counterexample literal
-    Node ceLit = d_quantEngine->getTermDatabase()->getCounterexampleLiteral( q );
-    Node ceBody = d_quantEngine->getTermDatabase()->getInstConstantBody( q );
+    Node ceLit = d_quantEngine->getTermUtil()->getCounterexampleLiteral( q );
+    Node ceBody = d_quantEngine->getTermUtil()->getInstConstantBody( q );
     if( !ceBody.isNull() ){
       //add counterexample lemma
       Node lem = NodeManager::currentNM()->mkNode( OR, ceLit.negate(), ceBody.negate() );
@@ -90,7 +92,7 @@ bool InstStrategyCbqi::registerCbqiLemma( Node q ) {
               std::map< TypeNode, std::vector< Node > >::iterator itc = qepr->d_consts.find( tn );
               if( itc!=qepr->d_consts.end() ){
                 Assert( !itc->second.empty() );
-                Node ic = d_quantEngine->getTermDatabase()->getInstantiationConstant( q, i );
+                Node ic = d_quantEngine->getTermUtil()->getInstantiationConstant( q, i );
                 std::vector< Node > disj;
                 for( unsigned j=0; j<itc->second.size(); j++ ){
                   disj.push_back( ic.eqNode( itc->second[j] ) );
@@ -111,7 +113,7 @@ bool InstStrategyCbqi::registerCbqiLemma( Node q ) {
       //compute dependencies between quantified formulas
       if( options::cbqiLitDepend() || options::cbqiInnermost() ){
         std::vector< Node > ics;
-        TermDb::computeVarContains( q, ics );
+        TermUtil::computeVarContains( q, ics );
         d_parent_quant[q].clear();
         d_children_quant[q].clear();
         std::vector< Node > dep;
@@ -121,7 +123,7 @@ bool InstStrategyCbqi::registerCbqiLemma( Node q ) {
             d_parent_quant[q].push_back( qi );
             d_children_quant[qi].push_back( q );
             Assert( hasAddedCbqiLemma( qi ) );
-            Node qicel = d_quantEngine->getTermDatabase()->getCounterexampleLiteral( qi );
+            Node qicel = d_quantEngine->getTermUtil()->getCounterexampleLiteral( qi );
             dep.push_back( qi );
             dep.push_back( qicel );
           }
@@ -135,7 +137,7 @@ bool InstStrategyCbqi::registerCbqiLemma( Node q ) {
       
       //must register all sub-quantifiers of counterexample lemma, register their lemmas
       std::vector< Node > quants;
-      TermDb::computeQuantContains( lem, quants );
+      TermUtil::computeQuantContains( lem, quants );
       for( unsigned i=0; i<quants.size(); i++ ){
         if( doCbqi( quants[i] ) ){
           registerCbqiLemma( quants[i] );
@@ -143,7 +145,7 @@ bool InstStrategyCbqi::registerCbqiLemma( Node q ) {
         if( options::cbqiNestedQE() ){
           //record these as counterexample quantifiers
           QAttributes qa;
-          TermDb::computeQuantAttributes( quants[i], qa );
+          QuantAttributes::computeQuantAttributes( quants[i], qa );
           if( !qa.d_qid_num.isNull() ){
             d_id_to_ce_quant[ qa.d_qid_num ] = quants[i];
             d_ce_quant_to_id[ quants[i] ] = qa.d_qid_num;
@@ -171,7 +173,7 @@ void InstStrategyCbqi::reset_round( Theory::Effort effort ) {
       if( d_quantEngine->getModel()->isQuantifierActive( q ) ){
         d_active_quant[q] = true;
         Debug("cbqi-debug") << "Check quantified formula " << q << "..." << std::endl;
-        Node cel = d_quantEngine->getTermDatabase()->getCounterexampleLiteral( q );
+        Node cel = d_quantEngine->getTermUtil()->getCounterexampleLiteral( q );
         bool value;
         if( d_quantEngine->getValuation().hasSatValue( cel, value ) ){
           Debug("cbqi-debug") << "...CE Literal has value " << value << std::endl;
@@ -299,7 +301,7 @@ Node InstStrategyCbqi::getIdMarkedQuantNode( Node n, std::map< Node, Node >& vis
     Node ret = n;
     if( n.getKind()==FORALL ){
       QAttributes qa;
-      TermDb::computeQuantAttributes( n, qa );
+      QuantAttributes::computeQuantAttributes( n, qa );
       if( qa.d_qid_num.isNull() ){
         std::vector< Node > rc;
         rc.push_back( n[0] );
@@ -392,15 +394,15 @@ Node InstStrategyCbqi::doNestedQENode( Node q, Node ceq, Node n, std::vector< No
     //should not contain quantifiers
     Assert( !QuantifiersRewriter::containsQuantifiers( d_nested_qe[ceq] ) );
   }
-  Assert( d_quantEngine->getTermDatabase()->d_inst_constants[q].size()==inst_terms.size() );
+  Assert( d_quantEngine->getTermUtil()->d_inst_constants[q].size()==inst_terms.size() );
   //replace inst constants with instantiation
-  Node ret = d_nested_qe[ceq].substitute( d_quantEngine->getTermDatabase()->d_inst_constants[q].begin(),
-                                          d_quantEngine->getTermDatabase()->d_inst_constants[q].end(),
+  Node ret = d_nested_qe[ceq].substitute( d_quantEngine->getTermUtil()->d_inst_constants[q].begin(),
+                                          d_quantEngine->getTermUtil()->d_inst_constants[q].end(),
                                           inst_terms.begin(), inst_terms.end() );
   if( doVts ){
     //do virtual term substitution
     ret = Rewriter::rewrite( ret );
-    ret = d_quantEngine->getTermDatabase()->rewriteVtsSymbols( ret );
+    ret = d_quantEngine->getTermUtil()->rewriteVtsSymbols( ret );
   }
   Trace("cbqi-nqe") << "Nested quantifier elimination: " << std::endl;
   Trace("cbqi-nqe") << "  " << n << std::endl; 
@@ -413,7 +415,7 @@ Node InstStrategyCbqi::doNestedQERec( Node q, Node n, std::map< Node, Node >& vi
     Node ret = n;
     if( n.getKind()==FORALL ){
       QAttributes qa;
-      TermDb::computeQuantAttributes( n, qa );
+      QuantAttributes::computeQuantAttributes( n, qa );
       if( !qa.d_qid_num.isNull() ){
         //if it has an id, check whether we have done quantifier elimination for this id
         std::map< Node, Node >::iterator it = d_id_to_ce_quant.find( qa.d_qid_num );
@@ -478,7 +480,7 @@ void InstStrategyCbqi::registerCounterexampleLemma( Node q, Node lem ){
 bool InstStrategyCbqi::hasNonCbqiOperator( Node n, std::map< Node, bool >& visited ){
   if( visited.find( n )==visited.end() ){
     visited[n] = true;
-    if( n.getKind()!=BOUND_VARIABLE && TermDb::hasBoundVarAttr( n ) ){
+    if( n.getKind()!=BOUND_VARIABLE && TermUtil::hasBoundVarAttr( n ) ){
       if( !inst::Trigger::isCbqiKind( n.getKind() ) ){
         Trace("cbqi-debug2") << "Non-cbqi kind : " << n.getKind() << " in " << n  << std::endl;
         return true;
@@ -554,8 +556,8 @@ bool InstStrategyCbqi::doCbqi( Node q ){
   std::map< Node, int >::iterator it = d_do_cbqi.find( q );
   if( it==d_do_cbqi.end() ){
     int ret = 2;
-    if( !d_quantEngine->getTermDatabase()->isQAttrQuantElim( q ) ){
-      Assert( !d_quantEngine->getTermDatabase()->isQAttrQuantElimPartial( q ) );
+    if( !d_quantEngine->getQuantAttributes()->isQuantElim( q ) ){
+      Assert( !d_quantEngine->getQuantAttributes()->isQuantElimPartial( q ) );
       //if has an instantiation pattern, don't do it
       if( q.getNumChildren()==3 && options::eMatching() && options::userPatternsQuant()!=USER_PAT_MODE_IGNORE ){
         for( unsigned i=0; i<q[2].getNumChildren(); i++ ){
@@ -564,7 +566,7 @@ bool InstStrategyCbqi::doCbqi( Node q ){
           }
         }
       }
-      if( d_quantEngine->getTermDatabase()->isQAttrSygus( q ) ){
+      if( d_quantEngine->getQuantAttributes()->isSygus( q ) ){
         ret = 0;
       }
       if( ret!=0 ){
@@ -616,7 +618,7 @@ Node InstStrategyCbqi::getNextDecisionRequestProc( Node q, std::map< Node, bool
     }
     //then check self
     if( hasAddedCbqiLemma( q ) ){
-      Node cel = d_quantEngine->getTermDatabase()->getCounterexampleLiteral( q );
+      Node cel = d_quantEngine->getTermUtil()->getCounterexampleLiteral( q );
       bool value;
       if( !d_quantEngine->getValuation().hasSatValue( cel, value ) ){
         Trace("cbqi-dec") << "CBQI: get next decision " << cel << std::endl;
@@ -699,14 +701,14 @@ void InstStrategyCegqi::process( Node q, Theory::Effort effort, int e ) {
       d_small_const = NodeManager::currentNM()->mkNode( MULT, d_small_const, d_small_const );
       d_small_const = Rewriter::rewrite( d_small_const );
       //heuristic for now, until we know how to do nested quantification
-      Node delta = d_quantEngine->getTermDatabase()->getVtsDelta( true, false );
+      Node delta = d_quantEngine->getTermUtil()->getVtsDelta( true, false );
       if( !delta.isNull() ){
         Trace("quant-vts-debug") << "Delta lemma for " << d_small_const << std::endl;
         Node delta_lem_ub = NodeManager::currentNM()->mkNode( LT, delta, d_small_const );
         d_quantEngine->getOutputChannel().lemma( delta_lem_ub );
       }
       std::vector< Node > inf;
-      d_quantEngine->getTermDatabase()->getVtsTerms( inf, true, false, false );
+      d_quantEngine->getTermUtil()->getVtsTerms( inf, true, false, false );
       for( unsigned i=0; i<inf.size(); i++ ){
         Trace("quant-vts-debug") << "Infinity lemma for " << inf[i] << " " << d_small_const << std::endl;
         Node inf_lem_lb = NodeManager::currentNM()->mkNode( GT, inf[i], NodeManager::currentNM()->mkConst( Rational(1)/d_small_const.getConst<Rational>() ) );
@@ -719,14 +721,14 @@ void InstStrategyCegqi::process( Node q, Theory::Effort effort, int e ) {
 bool InstStrategyCegqi::doAddInstantiation( std::vector< Node >& subs ) {
   Assert( !d_curr_quant.isNull() );
   //if doing partial quantifier elimination, record the instantiation and set the incomplete flag instead of sending instantiation lemma
-  if( d_quantEngine->getTermDatabase()->isQAttrQuantElimPartial( d_curr_quant ) ){
+  if( d_quantEngine->getQuantAttributes()->isQuantElimPartial( d_curr_quant ) ){
     d_cbqi_set_quant_inactive = true;
     d_incomplete_check = true;
     d_quantEngine->recordInstantiationInternal( d_curr_quant, subs, false, false );
     return true;
   }else{
     //check if we need virtual term substitution (if used delta or infinity)
-    bool used_vts = d_quantEngine->getTermDatabase()->containsVtsTerm( subs, false );
+    bool used_vts = d_quantEngine->getTermUtil()->containsVtsTerm( subs, false );
     if( d_quantEngine->addInstantiation( d_curr_quant, subs, false, false, used_vts ) ){
       ++(d_quantEngine->d_statistics.d_instantiations_cbqi);
       //d_added_inst.insert( d_curr_quant );
@@ -761,7 +763,7 @@ bool InstStrategyCegqi::isEligibleForInstantiation( Node n ) {
         }
       }
       //only legal if current quantified formula contains n
-      return TermDb::containsTerm( d_curr_quant, n );
+      return TermUtil::containsTerm( d_curr_quant, n );
     }
   }else{
     return true;
@@ -796,8 +798,8 @@ void InstStrategyCegqi::registerCounterexampleLemma( Node q, Node lem ) {
   //must register with the instantiator
   //must explicitly remove ITEs so that we record dependencies
   std::vector< Node > ce_vars;
-  for( unsigned i=0; i<d_quantEngine->getTermDatabase()->getNumInstantiationConstants( q ); i++ ){
-    ce_vars.push_back( d_quantEngine->getTermDatabase()->getInstantiationConstant( q, i ) );
+  for( unsigned i=0; i<d_quantEngine->getTermUtil()->getNumInstantiationConstants( q ); i++ ){
+    ce_vars.push_back( d_quantEngine->getTermUtil()->getInstantiationConstant( q, i ) );
   }
   std::vector< Node > lems;
   lems.push_back( lem );
diff --git a/src/theory/quantifiers/inst_strategy_e_matching.cpp b/src/theory/quantifiers/inst_strategy_e_matching.cpp
index 096e0933d..105f8f5e2 100644
--- a/src/theory/quantifiers/inst_strategy_e_matching.cpp
+++ b/src/theory/quantifiers/inst_strategy_e_matching.cpp
@@ -14,8 +14,10 @@
 
 #include "theory/quantifiers/inst_strategy_e_matching.h"
 #include "theory/quantifiers/inst_match_generator.h"
+#include "theory/quantifiers/quantifiers_attributes.h"
 #include "theory/quantifiers/relevant_domain.h"
 #include "theory/quantifiers/term_database.h"
+#include "theory/quantifiers/term_util.h"
 #include "theory/theory_engine.h"
 
 using namespace std;
@@ -279,16 +281,16 @@ void InstStrategyAutoGenTriggers::generateTriggers( Node f ){
     std::map< Node, inst::TriggerTermInfo > tinfo;
     //well-defined function: can assume LHS is only trigger
     if( options::quantFunWellDefined() ){
-      Node hd = TermDb::getFunDefHead( f );
+      Node hd = QuantAttributes::getFunDefHead( f );
       if( !hd.isNull() ){
-        hd = d_quantEngine->getTermDatabase()->getInstConstantNode( hd, f );
+        hd = d_quantEngine->getTermUtil()->getInstConstantNode( hd, f );
         patTermsF.push_back( hd );
         tinfo[hd].init( f, hd );
       }
     }
     //otherwise, use algorithm for collecting pattern terms
     if( patTermsF.empty() ){
-      Node bd = d_quantEngine->getTermDatabase()->getInstConstantBody( f );
+      Node bd = d_quantEngine->getTermUtil()->getInstConstantBody( f );
       Trigger::collectPatTerms( f, bd, patTermsF, d_tr_strategy, d_user_no_gen[f], tinfo, true );
       if( ntrivTriggers ){
         sortTriggers st;
@@ -332,7 +334,7 @@ void InstStrategyAutoGenTriggers::generateTriggers( Node f ){
       if( options::partialTriggers() ){
         std::vector< Node > vcs[2];
         for( unsigned i=0; i<f[0].getNumChildren(); i++ ){
-          Node ic = d_quantEngine->getTermDatabase()->getInstantiationConstant( f, i );
+          Node ic = d_quantEngine->getTermUtil()->getInstantiationConstant( f, i );
           vcs[ vcMap.find( ic )==vcMap.end() ? 0 : 1 ].push_back( f[0][i] );
         }
         for( unsigned i=0; i<2; i++ ){
@@ -506,7 +508,7 @@ void InstStrategyAutoGenTriggers::addTrigger( inst::Trigger * tr, Node q ) {
   if( tr ){
     if( d_num_trigger_vars[q]<q[0].getNumChildren() ){
       //partial trigger : generate implication to mark user pattern
-      Node ipl = NodeManager::currentNM()->mkNode( INST_PATTERN_LIST, d_quantEngine->getTermDatabase()->getVariableNode( tr->getInstPattern(), q ) );
+      Node ipl = NodeManager::currentNM()->mkNode( INST_PATTERN_LIST, d_quantEngine->getTermUtil()->getVariableNode( tr->getInstPattern(), q ) );
       Node qq = NodeManager::currentNM()->mkNode( FORALL, d_vc_partition[1][q], NodeManager::currentNM()->mkNode( FORALL, d_vc_partition[0][q], q[1] ), ipl );
       Trace("auto-gen-trigger-partial") << "Make partially specified user pattern: " << std::endl;
       Trace("auto-gen-trigger-partial") << "  " << qq << std::endl;
@@ -567,7 +569,7 @@ bool InstStrategyLocalTheoryExt::isLocalTheoryExt( Node f ) {
   std::map< Node, bool >::iterator itq = d_quant.find( f );
   if( itq==d_quant.end() ){
     //generate triggers
-    Node bd = d_quantEngine->getTermDatabase()->getInstConstantBody( f );
+    Node bd = d_quantEngine->getTermUtil()->getInstConstantBody( f );
     std::vector< Node > vars;
     std::vector< Node > patTerms;
     bool ret = Trigger::isLocalTheoryExt( bd, vars, patTerms );
@@ -575,7 +577,7 @@ bool InstStrategyLocalTheoryExt::isLocalTheoryExt( Node f ) {
       d_quant[f] = ret;
       //add all variables to trigger that don't already occur
       for( unsigned i=0; i<f[0].getNumChildren(); i++ ){
-        Node x = d_quantEngine->getTermDatabase()->getInstantiationConstant( f, i );
+        Node x = d_quantEngine->getTermUtil()->getInstantiationConstant( f, i );
         if( std::find( vars.begin(), vars.end(), x )==vars.end() ){
           patTerms.push_back( x );
         }
@@ -698,7 +700,7 @@ bool FullSaturation::process( Node f, bool fullEffort ){
             std::map< Node, Node > reps_found;
             for( unsigned j=0; j<ts; j++ ){
               Node gt = d_quantEngine->getTermDatabase()->getTypeGroundTerm( ftypes[i], j );
-              if( !options::cbqi() || !quantifiers::TermDb::hasInstConstAttr( gt ) ){
+              if( !options::cbqi() || !quantifiers::TermUtil::hasInstConstAttr( gt ) ){
                 Node r = d_quantEngine->getEqualityQuery()->getRepresentative( gt );
                 if( reps_found.find( r )==reps_found.end() ){
                   reps_found[r] = gt;
diff --git a/src/theory/quantifiers/instantiation_engine.cpp b/src/theory/quantifiers/instantiation_engine.cpp
index 1cdd224e7..1f3f56820 100644
--- a/src/theory/quantifiers/instantiation_engine.cpp
+++ b/src/theory/quantifiers/instantiation_engine.cpp
@@ -18,6 +18,7 @@
 #include "theory/quantifiers/first_order_model.h"
 #include "theory/quantifiers/inst_strategy_e_matching.h"
 #include "theory/quantifiers/term_database.h"
+#include "theory/quantifiers/term_util.h"
 #include "theory/quantifiers/trigger.h"
 #include "theory/theory_engine.h"
 
@@ -177,7 +178,7 @@ void InstantiationEngine::registerQuantifier( Node f ){
     //}
     //take into account user patterns
     if( f.getNumChildren()==3 ){
-      Node subsPat = d_quantEngine->getTermDatabase()->getInstConstantNode( f[2], f );
+      Node subsPat = d_quantEngine->getTermUtil()->getInstConstantNode( f[2], f );
       //add patterns
       for( int i=0; i<(int)subsPat.getNumChildren(); i++ ){
         //Notice() << "Add pattern " << subsPat[i] << " for " << f << std::endl;
diff --git a/src/theory/quantifiers/local_theory_ext.cpp b/src/theory/quantifiers/local_theory_ext.cpp
index cf5fe3b50..e26c464e2 100644
--- a/src/theory/quantifiers/local_theory_ext.cpp
+++ b/src/theory/quantifiers/local_theory_ext.cpp
@@ -14,6 +14,7 @@
 
 #include "theory/quantifiers/local_theory_ext.h"
 #include "theory/quantifiers/term_database.h"
+#include "theory/quantifiers/term_util.h"
 #include "theory/quantifiers_engine.h"
 #include "theory/quantifiers/first_order_model.h"
 
diff --git a/src/theory/quantifiers/macros.cpp b/src/theory/quantifiers/macros.cpp
index a9fad80ae..57187b7ab 100644
--- a/src/theory/quantifiers/macros.cpp
+++ b/src/theory/quantifiers/macros.cpp
@@ -24,6 +24,7 @@
 #include "smt/smt_engine.h"
 #include "smt/smt_engine_scope.h"
 #include "theory/quantifiers/term_database.h"
+#include "theory/quantifiers/term_util.h"
 #include "theory/quantifiers/trigger.h"
 #include "theory/rewriter.h"
 
@@ -152,10 +153,10 @@ bool QuantifierMacros::isMacroLiteral( Node n, bool pol ){
 }
 
 bool QuantifierMacros::isGroundUfTerm( Node f, Node n ) {
-  Node icn = d_qe->getTermDatabase()->getInstConstantNode( n, f );
+  Node icn = d_qe->getTermUtil()->getInstConstantNode( n, f );
   Trace("macros-debug2") << "Get free variables in " << icn << std::endl;
   std::vector< Node > var;
-  d_qe->getTermDatabase()->getVarContainsNode( f, icn, var );
+  d_qe->getTermUtil()->getVarContainsNode( f, icn, var );
   Trace("macros-debug2") << "Get trigger variables for " << icn << std::endl;
   std::vector< Node > trigger_var;
   inst::Trigger::getTriggerVariables( icn, f, trigger_var );
diff --git a/src/theory/quantifiers/model_builder.cpp b/src/theory/quantifiers/model_builder.cpp
index 2b7ba7ac9..ced62d8f5 100644
--- a/src/theory/quantifiers/model_builder.cpp
+++ b/src/theory/quantifiers/model_builder.cpp
@@ -19,6 +19,7 @@
 #include "theory/quantifiers/model_engine.h"
 #include "theory/quantifiers/quantifiers_attributes.h"
 #include "theory/quantifiers/term_database.h"
+#include "theory/quantifiers/term_util.h"
 #include "theory/quantifiers/trigger.h"
 #include "theory/theory_engine.h"
 #include "theory/uf/equality_engine.h"
@@ -434,8 +435,8 @@ int QModelBuilderIG::doExhaustiveInstantiation( FirstOrderModel * fm, Node f, in
         //if evaluate(...)==1, then the instantiation is already true in the model
         //  depIndex is the index of the least significant variable that this evaluation relies upon
         depIndex = riter.getNumTerms()-1;
-        Debug("fmf-model-eval") << "We will evaluate " << d_qe->getTermDatabase()->getInstConstantBody( f ) << std::endl;
-        eval = fmig->evaluate( d_qe->getTermDatabase()->getInstConstantBody( f ), depIndex, &riter );
+        Debug("fmf-model-eval") << "We will evaluate " << d_qe->getTermUtil()->getInstConstantBody( f ) << std::endl;
+        eval = fmig->evaluate( d_qe->getTermUtil()->getInstConstantBody( f ), depIndex, &riter );
         if( eval==1 ){
           Debug("fmf-model-eval") << "  Returned success with depIndex = " << depIndex << std::endl;
         }else{
@@ -531,7 +532,7 @@ void QModelBuilderDefault::analyzeQuantifier( FirstOrderModel* fm, Node f ){
     // - determine selection literals
     // - check which function/predicates have good and bad definitions for satisfying f
     if( d_phase_reqs.find( f )==d_phase_reqs.end() ){
-      d_phase_reqs[f].initialize( d_qe->getTermDatabase()->getInstConstantBody( f ), true );
+      d_phase_reqs[f].initialize( d_qe->getTermUtil()->getInstConstantBody( f ), true );
     }
     int selectLitScore = -1;
     for( std::map< Node, bool >::iterator it = d_phase_reqs[f].d_phase_reqs.begin(); it != d_phase_reqs[f].d_phase_reqs.end(); ++it ){
@@ -547,7 +548,7 @@ void QModelBuilderDefault::analyzeQuantifier( FirstOrderModel* fm, Node f ){
         //  constant definitions.
         bool isConst = true;
         std::vector< Node > uf_terms;
-        if( TermDb::hasInstConstAttr(n) ){
+        if( TermUtil::hasInstConstAttr(n) ){
           isConst = false;
           if( gn.getKind()==APPLY_UF ){
             uf_terms.push_back( gn );
@@ -555,7 +556,7 @@ void QModelBuilderDefault::analyzeQuantifier( FirstOrderModel* fm, Node f ){
           }else if( gn.getKind()==EQUAL ){
             isConst = true;
             for( int j=0; j<2; j++ ){
-              if( TermDb::hasInstConstAttr(n[j]) ){
+              if( TermUtil::hasInstConstAttr(n[j]) ){
                 if( n[j].getKind()==APPLY_UF &&
                     fmig->d_uf_model_tree.find( gn[j].getOperator() )!=fmig->d_uf_model_tree.end() ){
                   uf_terms.push_back( gn[j] );
@@ -663,7 +664,7 @@ int QModelBuilderDefault::doInstGen( FirstOrderModel* fm, Node f ){
     for( size_t i=0; i<d_quant_selection_lit_candidates[f].size(); i++ ){
       bool phase = d_quant_selection_lit_candidates[f][i].getKind()!=NOT;
       Node lit = d_quant_selection_lit_candidates[f][i].getKind()==NOT ? d_quant_selection_lit_candidates[f][i][0] : d_quant_selection_lit_candidates[f][i];
-      Assert( TermDb::hasInstConstAttr(lit) );
+      Assert( TermUtil::hasInstConstAttr(lit) );
       std::vector< Node > tr_terms;
       if( lit.getKind()==APPLY_UF ){
         //only match predicates that are contrary to this one, use literal matching
@@ -672,7 +673,7 @@ int QModelBuilderDefault::doInstGen( FirstOrderModel* fm, Node f ){
       }else if( lit.getKind()==EQUAL ){
         //collect trigger terms
         for( int j=0; j<2; j++ ){
-          if( TermDb::hasInstConstAttr(lit[j]) ){
+          if( TermUtil::hasInstConstAttr(lit[j]) ){
             if( lit[j].getKind()==APPLY_UF ){
               tr_terms.push_back( lit[j] );
             }else{
diff --git a/src/theory/quantifiers/model_engine.cpp b/src/theory/quantifiers/model_engine.cpp
index 24c2d1254..081d4e66a 100644
--- a/src/theory/quantifiers/model_engine.cpp
+++ b/src/theory/quantifiers/model_engine.cpp
@@ -20,6 +20,7 @@
 #include "theory/quantifiers/full_model_check.h"
 #include "theory/quantifiers/quantifiers_attributes.h"
 #include "theory/quantifiers/term_database.h"
+#include "theory/quantifiers/term_util.h"
 #include "theory/theory_engine.h"
 #include "theory/uf/equality_engine.h"
 #include "theory/uf/theory_uf.h"
@@ -265,7 +266,7 @@ void ModelEngine::exhaustiveInstantiate( Node f, int effort ){
     if( Trace.isOn("fmf-exh-inst-debug") ){
       Trace("fmf-exh-inst-debug") << "   Instantiation Constants: ";
       for( size_t i=0; i<f[0].getNumChildren(); i++ ){
-        Trace("fmf-exh-inst-debug") << d_quantEngine->getTermDatabase()->getInstantiationConstant( f, i ) << " ";
+        Trace("fmf-exh-inst-debug") << d_quantEngine->getTermUtil()->getInstantiationConstant( f, i ) << " ";
       }
       Trace("fmf-exh-inst-debug") << std::endl;
     }
diff --git a/src/theory/quantifiers/quant_conflict_find.cpp b/src/theory/quantifiers/quant_conflict_find.cpp
index 20d470de3..0094bc147 100644
--- a/src/theory/quantifiers/quant_conflict_find.cpp
+++ b/src/theory/quantifiers/quant_conflict_find.cpp
@@ -9,7 +9,7 @@
  ** All rights reserved.  See the file COPYING in the top-level source
  ** directory for licensing information.\endverbatim
  **
- ** \brief quant conflict find class
+ ** \brief Implements conflict-based instantiation (Reynolds et al FMCAD 2014)
  **
  **/
 
@@ -21,6 +21,7 @@
 #include "smt/smt_statistics_registry.h"
 #include "theory/quantifiers/quant_util.h"
 #include "theory/quantifiers/term_database.h"
+#include "theory/quantifiers/term_util.h"
 #include "theory/quantifiers/trigger.h"
 #include "theory/quantifiers/first_order_model.h"
 #include "theory/theory_engine.h"
@@ -596,7 +597,7 @@ bool QuantInfo::isTConstraintSpurious( QuantConflictFind * p, std::vector< Node
         }
         Trace("qcf-instance-check") << "...evaluates to " << inst_eval << std::endl;
       }
-      if( inst_eval.isNull() || inst_eval==p->getTermDatabase()->d_true || !isPropagatingInstance( p, inst_eval ) ){
+      if( inst_eval.isNull() || inst_eval==p->getTermUtil()->d_true || !isPropagatingInstance( p, inst_eval ) ){
         Trace("qcf-instance-check") << "...spurious." << std::endl;
         return true;
       }else{
@@ -608,7 +609,7 @@ bool QuantInfo::isTConstraintSpurious( QuantConflictFind * p, std::vector< Node
     //check constraints
     for( std::map< Node, bool >::iterator it = d_tconstraints.begin(); it != d_tconstraints.end(); ++it ){
       //apply substitution to the tconstraint
-      Node cons = p->getTermDatabase()->getInstantiatedNode( it->first, d_q, terms );
+      Node cons = p->getTermUtil()->getInstantiatedNode( it->first, d_q, terms );
       cons = it->second ? cons : cons.negate();
       if( !entailmentTest( p, cons, p->d_effort==QuantConflictFind::effort_conflict ) ){
         return true;
@@ -1863,7 +1864,7 @@ void MatchGen::setInvalid() {
 }
 
 bool MatchGen::isHandledBoolConnective( TNode n ) {
-  return TermDb::isBoolConnectiveTerm( n ) && n.getKind()!=SEP_STAR;
+  return TermUtil::isBoolConnectiveTerm( n ) && n.getKind()!=SEP_STAR;
 }
 
 bool MatchGen::isHandledUfTerm( TNode n ) {
@@ -2185,7 +2186,7 @@ void QuantConflictFind::computeRelevantEqr() {
       Node r = (*eqcs_i);
       if( getTermDatabase()->hasTermCurrent( r ) ){
         TypeNode rtn = r.getType();
-        if( !options::cbqi() || !TermDb::hasInstConstAttr( r ) ){
+        if( !options::cbqi() || !TermUtil::hasInstConstAttr( r ) ){
           d_eqcs[rtn].push_back( r );
         }
       }
diff --git a/src/theory/quantifiers/quant_equality_engine.cpp b/src/theory/quantifiers/quant_equality_engine.cpp
index b40212872..dab95f83b 100644
--- a/src/theory/quantifiers/quant_equality_engine.cpp
+++ b/src/theory/quantifiers/quant_equality_engine.cpp
@@ -16,7 +16,7 @@
 
 #include "theory/quantifiers/quant_equality_engine.h"
 #include "theory/rewriter.h"
-#include "theory/quantifiers/term_database.h"
+#include "theory/quantifiers/term_util.h"
 
 using namespace CVC4;
 using namespace std;
@@ -94,11 +94,11 @@ void QuantEqualityEngine::assertNode( Node n ) {
     Node t1;
     Node t2;
     if( lit.getKind()==APPLY_UF || lit.getKind()==EQUAL ){
-      lit = getTermDatabase()->getCanonicalTerm( lit );
+      lit = getTermUtil()->getCanonicalTerm( lit );
       Trace("qee-debug") << "Canonical :  " << lit << ", pol = " << pol << std::endl;
       if( lit.getKind()==APPLY_UF ){
         t1 = getFunctionAppForPredicateApp( lit );
-        t2 = pol ? getTermDatabase()->d_one : getTermDatabase()->d_zero;
+        t2 = pol ? getTermUtil()->d_one : getTermUtil()->d_zero;
         pol = true;
         lit = NodeManager::currentNM()->mkNode( EQUAL, t1, t2 );
       }else if( lit.getKind()==EQUAL ){
diff --git a/src/theory/quantifiers/quant_util.cpp b/src/theory/quantifiers/quant_util.cpp
index b34abba13..1e30914ef 100644
--- a/src/theory/quantifiers/quant_util.cpp
+++ b/src/theory/quantifiers/quant_util.cpp
@@ -15,6 +15,7 @@
 #include "theory/quantifiers/quant_util.h"
 #include "theory/quantifiers/inst_match.h"
 #include "theory/quantifiers/term_database.h"
+#include "theory/quantifiers/term_util.h"
 #include "theory/quantifiers_engine.h"
 
 using namespace std;
@@ -48,6 +49,10 @@ quantifiers::TermDb * QuantifiersModule::getTermDatabase() {
   return d_quantEngine->getTermDatabase();
 }
 
+quantifiers::TermUtil * QuantifiersModule::getTermUtil() {
+  return d_quantEngine->getTermUtil();
+}  
+  
 bool QuantArith::getMonomial( Node n, Node& c, Node& v ){
   if( n.getKind()==MULT && n.getNumChildren()==2 && n[0].isConst() ){
     c = n[0];
@@ -218,7 +223,7 @@ Node QuantArith::solveEqualityFor( Node lit, Node v ) {
     }
   }
   if( tn.isReal() ){
-    if( quantifiers::TermDb::containsTerm( lit, v ) ){
+    if( quantifiers::TermUtil::containsTerm( lit, v ) ){
       std::map< Node, Node > msum;
       if( QuantArith::getMonomialSumLit( lit, msum ) ){
         Node val, veqc;
@@ -338,13 +343,13 @@ void QuantPhaseReq::initialize( Node n, bool computeEq ){
     for( std::map< Node, bool >::iterator it = d_phase_reqs.begin(); it != d_phase_reqs.end(); ++it ){
       Debug("inst-engine-phase-req") << "   " << it->first << " -> " << it->second << std::endl;
       if( it->first.getKind()==EQUAL ){
-        if( quantifiers::TermDb::hasInstConstAttr(it->first[0]) ){
-          if( !quantifiers::TermDb::hasInstConstAttr(it->first[1]) ){
+        if( quantifiers::TermUtil::hasInstConstAttr(it->first[0]) ){
+          if( !quantifiers::TermUtil::hasInstConstAttr(it->first[1]) ){
             d_phase_reqs_equality_term[ it->first[0] ] = it->first[1];
             d_phase_reqs_equality[ it->first[0] ] = it->second;
             Debug("inst-engine-phase-req") << "      " << it->first[0] << ( it->second ? " == " : " != " ) << it->first[1] << std::endl;
           }
-        }else if( quantifiers::TermDb::hasInstConstAttr(it->first[1]) ){
+        }else if( quantifiers::TermUtil::hasInstConstAttr(it->first[1]) ){
           d_phase_reqs_equality_term[ it->first[1] ] = it->first[0];
           d_phase_reqs_equality[ it->first[1] ] = it->second;
           Debug("inst-engine-phase-req") << "      " << it->first[1] << ( it->second ? " == " : " != " ) << it->first[0] << std::endl;
diff --git a/src/theory/quantifiers/quant_util.h b/src/theory/quantifiers/quant_util.h
index f46b73b1c..27e517649 100644
--- a/src/theory/quantifiers/quant_util.h
+++ b/src/theory/quantifiers/quant_util.h
@@ -30,6 +30,7 @@ class QuantifiersEngine;
 
 namespace quantifiers {
   class TermDb;
+  class TermUtil;
 }
 
 class QuantifiersModule {
@@ -69,6 +70,7 @@ public:
   bool areEqual( TNode n1, TNode n2 );
   TNode getRepresentative( TNode n );
   quantifiers::TermDb * getTermDatabase();
+  quantifiers::TermUtil * getTermUtil();
 };/* class QuantifiersModule */
 
 class QuantifiersUtil {
diff --git a/src/theory/quantifiers/quantifiers_attributes.cpp b/src/theory/quantifiers/quantifiers_attributes.cpp
index a9b1470fd..ac3fb85d1 100644
--- a/src/theory/quantifiers/quantifiers_attributes.cpp
+++ b/src/theory/quantifiers/quantifiers_attributes.cpp
@@ -14,8 +14,12 @@
 
 #include "theory/quantifiers/quantifiers_attributes.h"
 
+#include "theory/quantifiers_engine.h"
 #include "options/quantifiers_options.h"
-#include "theory/quantifiers/term_database.h"
+#include "theory/quantifiers/ce_guided_instantiation.h"
+#include "theory/quantifiers/fun_def_engine.h"
+#include "theory/quantifiers/rewrite_engine.h"
+#include "theory/quantifiers/term_util.h"
 
 using namespace std;
 using namespace CVC4;
@@ -24,7 +28,12 @@ using namespace CVC4::context;
 using namespace CVC4::theory;
 using namespace CVC4::theory::quantifiers;
 
-void QuantifiersAttributes::setUserAttribute( const std::string& attr, Node n, std::vector< Node >& node_values, std::string str_value ){
+QuantAttributes::QuantAttributes( QuantifiersEngine * qe ) : 
+d_quantEngine(qe) {
+
+}  
+  
+void QuantAttributes::setUserAttribute( const std::string& attr, Node n, std::vector< Node >& node_values, std::string str_value ){
   Trace("quant-attr-debug") << "Set " << attr << " " << n << std::endl;
   if( attr=="axiom" ){
     Trace("quant-attr-debug") << "Set axiom " << n << std::endl;
@@ -78,3 +87,298 @@ void QuantifiersAttributes::setUserAttribute( const std::string& attr, Node n, s
     n.setAttribute( qepa, true );
   }
 }
+
+bool QuantAttributes::checkRewriteRule( Node q ) {
+  return !getRewriteRule( q ).isNull();
+}
+
+Node QuantAttributes::getRewriteRule( Node q ) {
+  if( q.getKind()==FORALL && q.getNumChildren()==3 && q[2].getNumChildren()>0 && q[2][0][0].getKind()==REWRITE_RULE ){
+    return q[2][0][0];
+  }else{
+    return Node::null();
+  }
+}
+
+bool QuantAttributes::checkFunDef( Node q ) {
+  return !getFunDefHead( q ).isNull();
+}
+
+bool QuantAttributes::checkFunDefAnnotation( Node ipl ) {
+  if( !ipl.isNull() ){
+    for( unsigned i=0; i<ipl.getNumChildren(); i++ ){
+      if( ipl[i].getKind()==INST_ATTRIBUTE ){
+        if( ipl[i][0].getAttribute(FunDefAttribute()) ){
+          return true;
+        }
+      }
+    }
+  }
+  return false;
+}
+
+Node QuantAttributes::getFunDefHead( Node q ) {
+  //&& q[1].getKind()==EQUAL && q[1][0].getKind()==APPLY_UF &&
+  if( q.getKind()==FORALL && q.getNumChildren()==3 ){
+
+    for( unsigned i=0; i<q[2].getNumChildren(); i++ ){
+      if( q[2][i].getKind()==INST_ATTRIBUTE ){
+        if( q[2][i][0].getAttribute(FunDefAttribute()) ){
+          return q[2][i][0];
+        }
+      }
+    }
+  }
+  return Node::null();
+}
+Node QuantAttributes::getFunDefBody( Node q ) {
+  Node h = getFunDefHead( q );
+  if( !h.isNull() ){
+    if( q[1].getKind()==EQUAL ){
+      if( q[1][0]==h ){
+        return q[1][1];
+      }else if( q[1][1]==h ){
+        return q[1][0];
+      }
+    }else{
+      Node atom = q[1].getKind()==NOT ? q[1][0] : q[1];
+      bool pol = q[1].getKind()!=NOT;
+      if( atom==h ){
+        return NodeManager::currentNM()->mkConst( pol );
+      }
+    }
+  }
+  return Node::null();
+}
+
+bool QuantAttributes::checkSygusConjecture( Node q ) {
+  return ( q.getKind()==FORALL && q.getNumChildren()==3 ) ? checkSygusConjectureAnnotation( q[2] ) : false;
+}
+
+bool QuantAttributes::checkSygusConjectureAnnotation( Node ipl ){
+  if( !ipl.isNull() ){
+    for( unsigned i=0; i<ipl.getNumChildren(); i++ ){
+      if( ipl[i].getKind()==INST_ATTRIBUTE ){
+        Node avar = ipl[i][0];
+        if( avar.getAttribute(SygusAttribute()) ){
+          return true;
+        }
+      }
+    }
+  }
+  return false;
+}
+
+bool QuantAttributes::checkQuantElimAnnotation( Node ipl ) {
+  if( !ipl.isNull() ){
+    for( unsigned i=0; i<ipl.getNumChildren(); i++ ){
+      if( ipl[i].getKind()==INST_ATTRIBUTE ){
+        Node avar = ipl[i][0];
+        if( avar.getAttribute(QuantElimAttribute()) ){
+          return true;
+        }
+      }
+    }
+  }
+  return false;
+}
+
+void QuantAttributes::computeAttributes( Node q ) {
+  computeQuantAttributes( q, d_qattr[q] );
+  if( !d_qattr[q].d_rr.isNull() ){
+    if( d_quantEngine->getRewriteEngine()==NULL ){
+      Trace("quant-warn") << "WARNING : rewrite engine is null, and we have : " << q << std::endl;
+    }
+    //set rewrite engine as owner
+    d_quantEngine->setOwner( q, d_quantEngine->getRewriteEngine(), 2 );
+  }
+  if( d_qattr[q].isFunDef() ){
+    Node f = d_qattr[q].d_fundef_f;
+    if( d_fun_defs.find( f )!=d_fun_defs.end() ){
+      Message() << "Cannot define function " << f << " more than once." << std::endl;
+      exit( 1 );
+    }
+    d_fun_defs[f] = true;
+    d_quantEngine->setOwner( q, d_quantEngine->getFunDefEngine(), 2 );
+  }
+  if( d_qattr[q].d_sygus ){
+    if( d_quantEngine->getCegInstantiation()==NULL ){
+      Trace("quant-warn") << "WARNING : ceg instantiation is null, and we have : " << q << std::endl;
+    }
+    d_quantEngine->setOwner( q, d_quantEngine->getCegInstantiation(), 2 );
+  }
+  if( d_qattr[q].d_synthesis ){
+    if( d_quantEngine->getCegInstantiation()==NULL ){
+      Trace("quant-warn") << "WARNING : ceg instantiation is null, and we have : " << q << std::endl;
+    }
+    d_quantEngine->setOwner( q, d_quantEngine->getCegInstantiation(), 2 );
+  }
+}
+
+void QuantAttributes::computeQuantAttributes( Node q, QAttributes& qa ){
+  Trace("quant-attr-debug") << "Compute attributes for " << q << std::endl;
+  if( q.getNumChildren()==3 ){
+    qa.d_ipl = q[2];
+    for( unsigned i=0; i<q[2].getNumChildren(); i++ ){
+      Trace("quant-attr-debug") << "Check : " << q[2][i] << " " << q[2][i].getKind() << std::endl;
+      if( q[2][i].getKind()==INST_PATTERN || q[2][i].getKind()==INST_NO_PATTERN ){
+        qa.d_hasPattern = true;
+      }else if( q[2][i].getKind()==INST_ATTRIBUTE ){
+        Node avar = q[2][i][0];
+        if( avar.getAttribute(AxiomAttribute()) ){
+          Trace("quant-attr") << "Attribute : axiom : " << q << std::endl;
+          qa.d_axiom = true;
+        }
+        if( avar.getAttribute(ConjectureAttribute()) ){
+          Trace("quant-attr") << "Attribute : conjecture : " << q << std::endl;
+          qa.d_conjecture = true;
+        }
+        if( avar.getAttribute(FunDefAttribute()) ){
+          Trace("quant-attr") << "Attribute : function definition : " << q << std::endl;
+          //get operator directly from pattern
+          qa.d_fundef_f = q[2][i][0].getOperator();
+        }
+        if( avar.getAttribute(SygusAttribute()) ){
+          //not necessarily nested existential
+          //Assert( q[1].getKind()==NOT );
+          //Assert( q[1][0].getKind()==FORALL );
+          Trace("quant-attr") << "Attribute : sygus : " << q << std::endl;
+          qa.d_sygus = true;
+        }
+        if( avar.getAttribute(SynthesisAttribute()) ){
+          Trace("quant-attr") << "Attribute : synthesis : " << q << std::endl;
+          qa.d_synthesis = true;
+        }
+        if( avar.hasAttribute(QuantInstLevelAttribute()) ){
+          qa.d_qinstLevel = avar.getAttribute(QuantInstLevelAttribute());
+          Trace("quant-attr") << "Attribute : quant inst level " << qa.d_qinstLevel << " : " << q << std::endl;
+        }
+        if( avar.hasAttribute(RrPriorityAttribute()) ){
+          qa.d_rr_priority = avar.getAttribute(RrPriorityAttribute());
+          Trace("quant-attr") << "Attribute : rr priority " << qa.d_rr_priority << " : " << q << std::endl;
+        }
+        if( avar.getAttribute(QuantElimAttribute()) ){
+          Trace("quant-attr") << "Attribute : quantifier elimination : " << q << std::endl;
+          qa.d_quant_elim = true;
+          //don't set owner, should happen naturally
+        }
+        if( avar.getAttribute(QuantElimPartialAttribute()) ){
+          Trace("quant-attr") << "Attribute : quantifier elimination partial : " << q << std::endl;
+          qa.d_quant_elim = true;
+          qa.d_quant_elim_partial = true;
+          //don't set owner, should happen naturally
+        }
+        if( avar.hasAttribute(QuantIdNumAttribute()) ){
+          qa.d_qid_num = avar;
+          Trace("quant-attr") << "Attribute : id number " << qa.d_qid_num.getAttribute(QuantIdNumAttribute()) << " : " << q << std::endl;
+        }
+        if( avar.getKind()==REWRITE_RULE ){
+          Trace("quant-attr") << "Attribute : rewrite rule : " << q << std::endl;
+          Assert( i==0 );
+          qa.d_rr = avar;
+        }
+      }
+    }
+  }
+}
+
+bool QuantAttributes::isConjecture( Node q ) {
+  std::map< Node, QAttributes >::iterator it = d_qattr.find( q );
+  if( it==d_qattr.end() ){
+    return false;
+  }else{
+    return it->second.d_conjecture;
+  }
+}
+
+bool QuantAttributes::isAxiom( Node q ) {
+  std::map< Node, QAttributes >::iterator it = d_qattr.find( q );
+  if( it==d_qattr.end() ){
+    return false;
+  }else{
+    return it->second.d_axiom;
+  }
+}
+
+bool QuantAttributes::isFunDef( Node q ) {
+  std::map< Node, QAttributes >::iterator it = d_qattr.find( q );
+  if( it==d_qattr.end() ){
+    return false;
+  }else{
+    return it->second.isFunDef();
+  }
+}
+
+bool QuantAttributes::isSygus( Node q ) {
+  std::map< Node, QAttributes >::iterator it = d_qattr.find( q );
+  if( it==d_qattr.end() ){
+    return false;
+  }else{
+    return it->second.d_sygus;
+  }
+}
+
+bool QuantAttributes::isSynthesis( Node q ) {
+  std::map< Node, QAttributes >::iterator it = d_qattr.find( q );
+  if( it==d_qattr.end() ){
+    return false;
+  }else{
+    return it->second.d_synthesis;
+  }
+}
+
+int QuantAttributes::getQuantInstLevel( Node q ) {
+  std::map< Node, QAttributes >::iterator it = d_qattr.find( q );
+  if( it==d_qattr.end() ){
+    return -1;
+  }else{
+    return it->second.d_qinstLevel;
+  }
+}
+
+int QuantAttributes::getRewriteRulePriority( Node q ) {
+  std::map< Node, QAttributes >::iterator it = d_qattr.find( q );
+  if( it==d_qattr.end() ){
+    return -1;
+  }else{
+    return it->second.d_rr_priority;
+  }
+}
+
+bool QuantAttributes::isQuantElim( Node q ) {
+  std::map< Node, QAttributes >::iterator it = d_qattr.find( q );
+  if( it==d_qattr.end() ){
+    return false;
+  }else{
+    return it->second.d_quant_elim;
+  }
+}
+
+bool QuantAttributes::isQuantElimPartial( Node q ) {
+  std::map< Node, QAttributes >::iterator it = d_qattr.find( q );
+  if( it==d_qattr.end() ){
+    return false;
+  }else{
+    return it->second.d_quant_elim_partial;
+  }
+}
+
+int QuantAttributes::getQuantIdNum( Node q ) {
+  std::map< Node, QAttributes >::iterator it = d_qattr.find( q );
+  if( it!=d_qattr.end() ){
+    if( !it->second.d_qid_num.isNull() ){
+      return it->second.d_qid_num.getAttribute(QuantIdNumAttribute());
+    }
+  }
+  return -1;
+}
+
+Node QuantAttributes::getQuantIdNumNode( Node q ) {
+  std::map< Node, QAttributes >::iterator it = d_qattr.find( q );
+  if( it==d_qattr.end() ){
+    return Node::null();
+  }else{
+    return it->second.d_qid_num;
+  }
+}
+
diff --git a/src/theory/quantifiers/quantifiers_attributes.h b/src/theory/quantifiers/quantifiers_attributes.h
index 93a4ef408..1c35b646b 100644
--- a/src/theory/quantifiers/quantifiers_attributes.h
+++ b/src/theory/quantifiers/quantifiers_attributes.h
@@ -16,29 +16,147 @@
 
 #include "cvc4_private.h"
 
-#ifndef __CVC4__THEORY__QUANTIFIERS__QUANTIFIERS_REWRITER_H
-#define __CVC4__THEORY__QUANTIFIERS__QUANTIFIERS_REWRITER_H
+#ifndef __CVC4__THEORY__QUANTIFIERS__QUANTIFIERS_ATTRIBUTES_H
+#define __CVC4__THEORY__QUANTIFIERS__QUANTIFIERS_ATTRIBUTES_H
 
-#include "theory/rewriter.h"
-#include "theory/quantifiers_engine.h"
+#include "expr/attribute.h"
+#include "expr/node.h"
 
 namespace CVC4 {
 namespace theory {
+
+class QuantifiersEngine;
+
+/** Attribute true for quantifiers that are axioms */
+struct AxiomAttributeId {};
+typedef expr::Attribute< AxiomAttributeId, bool > AxiomAttribute;
+
+/** Attribute true for quantifiers that are conjecture */
+struct ConjectureAttributeId {};
+typedef expr::Attribute< ConjectureAttributeId, bool > ConjectureAttribute;
+
+/** Attribute true for function definition quantifiers */
+struct FunDefAttributeId {};
+typedef expr::Attribute< FunDefAttributeId, bool > FunDefAttribute;
+
+/** Attribute true for quantifiers that we are doing quantifier elimination on */
+struct QuantElimAttributeId {};
+typedef expr::Attribute< QuantElimAttributeId, bool > QuantElimAttribute;
+
+/** Attribute true for quantifiers that we are doing partial quantifier elimination on */
+struct QuantElimPartialAttributeId {};
+typedef expr::Attribute< QuantElimPartialAttributeId, bool > QuantElimPartialAttribute;
+
+/** Attribute true for quantifiers that are SyGus conjectures */
+struct SygusAttributeId {};
+typedef expr::Attribute< SygusAttributeId, bool > SygusAttribute;
+
+/** Attribute true for quantifiers that are synthesis conjectures */
+struct SynthesisAttributeId {};
+typedef expr::Attribute< SynthesisAttributeId, bool > SynthesisAttribute;
+
 namespace quantifiers {
 
 /** Attribute priority for rewrite rules */
 //struct RrPriorityAttributeId {};
 //typedef expr::Attribute< RrPriorityAttributeId, uint64_t > RrPriorityAttribute;
 
-struct QuantifiersAttributes
+
+/** This class stores attributes for quantified formulas 
+* TODO : document (as part of #1171, #1215)
+*/
+class QAttributes{
+public:
+  QAttributes() : d_hasPattern(false), d_conjecture(false), d_axiom(false), d_sygus(false),
+                  d_synthesis(false), d_rr_priority(-1), d_qinstLevel(-1), d_quant_elim(false), d_quant_elim_partial(false){}
+  ~QAttributes(){}
+  bool d_hasPattern;
+  Node d_rr;
+  bool d_conjecture;
+  bool d_axiom;
+  Node d_fundef_f;
+  bool d_sygus;
+  bool d_synthesis;
+  int d_rr_priority;
+  int d_qinstLevel;
+  bool d_quant_elim;
+  bool d_quant_elim_partial;
+  Node d_ipl;
+  Node d_qid_num;
+  bool isRewriteRule() { return !d_rr.isNull(); }
+  bool isFunDef() { return !d_fundef_f.isNull(); }
+};
+
+/** This class caches information about attributes of quantified formulas 
+* It also has static utility functions used for determining attributes and information about 
+* quantified formulas.
+*/
+class QuantAttributes
 {
+public:
+  QuantAttributes( QuantifiersEngine * qe );
+  ~QuantAttributes(){}
+  
   /** set user attribute
     *   This function will apply a custom set of attributes to all top-level universal
     *   quantifiers contained in n
     */
   static void setUserAttribute( const std::string& attr, Node n, std::vector< Node >& node_values, std::string str_value );
-};
+  
+  //general queries concerning quantified formulas wrt modules
+  /** is quantifier treated as a rewrite rule? */
+  static bool checkRewriteRule( Node q );
+  /** get the rewrite rule associated with the quanfied formula */
+  static Node getRewriteRule( Node q );
+  /** is fun def */
+  static bool checkFunDef( Node q );
+  /** is fun def */
+  static bool checkFunDefAnnotation( Node ipl );
+  /** is sygus conjecture */
+  static bool checkSygusConjecture( Node q );
+  /** is sygus conjecture */
+  static bool checkSygusConjectureAnnotation( Node ipl );
+  /** get fun def body */
+  static Node getFunDefHead( Node q );
+  /** get fun def body */
+  static Node getFunDefBody( Node q );
+  /** is quant elim annotation */
+  static bool checkQuantElimAnnotation( Node ipl );
 
+  /** is conjecture */
+  bool isConjecture( Node q );
+  /** is axiom */
+  bool isAxiom( Node q );
+  /** is function definition */
+  bool isFunDef( Node q );
+  /** is sygus conjecture */
+  bool isSygus( Node q );
+  /** is synthesis conjecture */
+  bool isSynthesis( Node q );
+  /** get instantiation level */
+  int getQuantInstLevel( Node q );
+  /** get rewrite rule priority */
+  int getRewriteRulePriority( Node q );
+  /** is quant elim */
+  bool isQuantElim( Node q );
+  /** is quant elim partial */
+  bool isQuantElimPartial( Node q );
+  /** get quant id num */
+  int getQuantIdNum( Node q );
+  /** get quant id num */
+  Node getQuantIdNumNode( Node q );
+  /** compute quantifier attributes */
+  static void computeQuantAttributes( Node q, QAttributes& qa );
+  /** compute the attributes for q */
+  void computeAttributes( Node q );
+private:
+  /** pointer to quantifiers engine */
+  QuantifiersEngine * d_quantEngine;
+  /** cache of attributes */
+  std::map< Node, QAttributes > d_qattr;
+  /** function definitions */
+  std::map< Node, bool > d_fun_defs;
+};
 
 }
 }
diff --git a/src/theory/quantifiers/quantifiers_rewriter.cpp b/src/theory/quantifiers/quantifiers_rewriter.cpp
index 02f1b8509..9f6617d5a 100644
--- a/src/theory/quantifiers/quantifiers_rewriter.cpp
+++ b/src/theory/quantifiers/quantifiers_rewriter.cpp
@@ -15,7 +15,9 @@
 #include "theory/quantifiers/quantifiers_rewriter.h"
 
 #include "options/quantifiers_options.h"
+#include "theory/quantifiers/quantifiers_attributes.h"
 #include "theory/quantifiers/term_database.h"
+#include "theory/quantifiers/term_util.h"
 #include "theory/quantifiers/trigger.h"
 
 using namespace std;
@@ -196,7 +198,7 @@ RewriteResponse QuantifiersRewriter::postRewrite(TNode in) {
     }else{
       //compute attributes
       QAttributes qa;
-      TermDb::computeQuantAttributes( in, qa );
+      QuantAttributes::computeQuantAttributes( in, qa );
       if( !qa.isRewriteRule() ){
         for( int op=0; op<COMPUTE_LAST; op++ ){
           if( doOperation( in, op, qa ) ){
@@ -504,10 +506,10 @@ Node QuantifiersRewriter::computeProcessTerms( Node body, std::vector< Node >& n
   std::map< Node, Node > cache;
   std::map< Node, Node > icache;
   if( qa.isFunDef() ){
-    Node h = TermDb::getFunDefHead( q );
+    Node h = QuantAttributes::getFunDefHead( q );
     Assert( !h.isNull() );
     // if it is a function definition, rewrite the body independently
-    Node fbody = TermDb::getFunDefBody( q );
+    Node fbody = QuantAttributes::getFunDefBody( q );
     Assert( !body.isNull() );
     Trace("quantifiers-rewrite-debug") << "Decompose " << h << " / " << fbody << " as function definition for " << q << "." << std::endl;
     Node r = computeProcessTerms2( fbody, true, true, curr_cond, 0, cache, icache, new_vars, new_conds, false );
@@ -745,7 +747,7 @@ bool QuantifiersRewriter::isConditionalVariableElim( Node n, int pol ){
   }else if( n.getKind()==EQUAL ){
     for( unsigned i=0; i<2; i++ ){
       if( n[i].getKind()==BOUND_VARIABLE ){
-        if( !TermDb::containsTerm( n[1-i], n[i] ) ){
+        if( !TermUtil::containsTerm( n[1-i], n[i] ) ){
           return true;
         }
       }
@@ -843,7 +845,7 @@ Node QuantifiersRewriter::computeCondSplit( Node body, QAttributes& qa ){
 }
 
 bool QuantifiersRewriter::isVariableElim( Node v, Node s ) {
-  if( TermDb::containsTerm( s, v ) || !s.getType().isSubtypeOf( v.getType() ) ){
+  if( TermUtil::containsTerm( s, v ) || !s.getType().isSubtypeOf( v.getType() ) ){
     return false;
   }else{
     return true;
@@ -973,7 +975,7 @@ bool QuantifiersRewriter::computeVariableElimLit( Node lit, bool pol, std::vecto
             if( lit.getKind()==GEQ || lit.getKind()==GT ){
               //compute variables in itm->first, these are not eligible for elimination
               std::vector< Node > bvs;
-              TermDb::getBoundVars( itm->first, bvs );
+              TermUtil::getBoundVars( itm->first, bvs );
               for( unsigned j=0; j<bvs.size(); j++ ){
                 Trace("var-elim-ineq-debug") << "...ineligible " << bvs[j] << " since it is contained in monomial." << std::endl;
                 num_bounds[bvs[j]][true].clear();
@@ -1410,7 +1412,7 @@ Node QuantifiersRewriter::computeMiniscoping( std::vector< Node >& args, Node bo
       NodeBuilder<> tb(kind::OR);
       for( unsigned i=0; i<body.getNumChildren(); i++ ){
         Node trm = body[i];
-        if( TermDb::containsTerms( body[i], args ) ){
+        if( TermUtil::containsTerms( body[i], args ) ){
           tb << trm;
         }else{
           body_split << trm;
@@ -1791,7 +1793,7 @@ Node QuantifiersRewriter::preSkolemizeQuantifiers( Node n, bool polarity, std::v
       Node sub;
       std::vector< unsigned > sub_vars;
       //return skolemized body
-      return TermDb::mkSkolemizedBody( n, nn, fvTypes, fvs, sk, sub, sub_vars );
+      return TermUtil::mkSkolemizedBody( n, nn, fvTypes, fvs, sk, sub, sub_vars );
     }
   }else{
     //check if it contains a quantifier as a subterm
diff --git a/src/theory/quantifiers/relevant_domain.cpp b/src/theory/quantifiers/relevant_domain.cpp
index 9bc47a507..749026b66 100644
--- a/src/theory/quantifiers/relevant_domain.cpp
+++ b/src/theory/quantifiers/relevant_domain.cpp
@@ -15,6 +15,7 @@
 #include "theory/quantifiers_engine.h"
 #include "theory/quantifiers/relevant_domain.h"
 #include "theory/quantifiers/term_database.h"
+#include "theory/quantifiers/term_util.h"
 #include "theory/quantifiers/first_order_model.h"
 
 using namespace std;
@@ -54,7 +55,7 @@ void RelevantDomain::RDomain::removeRedundantTerms( QuantifiersEngine * qe ) {
   std::map< Node, Node > rterms;
   for( unsigned i=0; i<d_terms.size(); i++ ){
     Node r = d_terms[i];
-    if( !TermDb::hasInstConstAttr( d_terms[i] ) ){
+    if( !TermUtil::hasInstConstAttr( d_terms[i] ) ){
       r = qe->getEqualityQuery()->getRepresentative( d_terms[i] );
     }
     if( rterms.find( r )==rterms.end() ){
@@ -108,7 +109,7 @@ void RelevantDomain::compute(){
     FirstOrderModel* fm = d_qe->getModel();
     for( unsigned i=0; i<fm->getNumAssertedQuantifiers(); i++ ){
       Node q = fm->getAssertedQuantifier( i );
-      Node icf = d_qe->getTermDatabase()->getInstConstantBody( q );
+      Node icf = d_qe->getTermUtil()->getInstConstantBody( q );
       Trace("rel-dom-debug") << "compute relevant domain for " << icf << std::endl;
       computeRelevantDomain( q, icf, true, true );
     }
@@ -173,7 +174,7 @@ void RelevantDomain::computeRelevantDomain( Node q, Node n, bool hasPol, bool po
     }
   }
 
-  if( ( ( n.getKind()==EQUAL && !n[0].getType().isBoolean() ) || n.getKind()==GEQ ) && TermDb::hasInstConstAttr( n ) ){
+  if( ( ( n.getKind()==EQUAL && !n[0].getType().isBoolean() ) || n.getKind()==GEQ ) && TermUtil::hasInstConstAttr( n ) ){
     //compute the information for what this literal does
     computeRelevantDomainLit( q, hasPol, pol, n );
     if( d_rel_dom_lit[hasPol][pol][n].d_merge ){
@@ -197,16 +198,16 @@ void RelevantDomain::computeRelevantDomain( Node q, Node n, bool hasPol, bool po
 
 void RelevantDomain::computeRelevantDomainOpCh( RDomain * rf, Node n ) {
   if( n.getKind()==INST_CONSTANT ){
-    Node q = d_qe->getTermDatabase()->getInstConstAttr( n );
+    Node q = d_qe->getTermUtil()->getInstConstAttr( n );
     //merge the RDomains
     unsigned id = n.getAttribute(InstVarNumAttribute());
     Trace("rel-dom-debug") << n << " is variable # " << id << " for " << q;
-    Trace("rel-dom-debug") << " with body : " << d_qe->getTermDatabase()->getInstConstantBody( q ) << std::endl;
+    Trace("rel-dom-debug") << " with body : " << d_qe->getTermUtil()->getInstConstantBody( q ) << std::endl;
     RDomain * rq = getRDomain( q, id );
     if( rf!=rq ){
       rq->merge( rf );
     }
-  }else if( !TermDb::hasInstConstAttr( n ) ){
+  }else if( !TermUtil::hasInstConstAttr( n ) ){
     Trace("rel-dom-debug") << "...add ground term to rel dom " << n << std::endl;
     //term to add
     rf->addTerm( n );
@@ -289,7 +290,7 @@ void RelevantDomain::computeRelevantDomainLit( Node q, bool hasPol, bool pol, No
       if( hasPol && !pol ){
         d_rel_dom_lit[hasPol][pol][n].d_merge = false;
       }
-    }else if( !r_add.isNull() && !TermDb::hasInstConstAttr( r_add ) ){
+    }else if( !r_add.isNull() && !TermUtil::hasInstConstAttr( r_add ) ){
       Trace("rel-dom-debug") << "...add term " << r_add << ", pol = " << pol << ", kind = " << n.getKind() << std::endl;
       //the negative occurrence adds the term to the domain
       if( !hasPol || !pol ){
diff --git a/src/theory/quantifiers/rewrite_engine.cpp b/src/theory/quantifiers/rewrite_engine.cpp
index f60d27cb9..d852667de 100644
--- a/src/theory/quantifiers/rewrite_engine.cpp
+++ b/src/theory/quantifiers/rewrite_engine.cpp
@@ -20,9 +20,11 @@
 #include "theory/quantifiers/first_order_model.h"
 #include "theory/quantifiers/inst_match_generator.h"
 #include "theory/quantifiers/model_engine.h"
+#include "theory/quantifiers/quantifiers_attributes.h"
 #include "theory/quantifiers/quant_conflict_find.h"
 #include "theory/quantifiers/quant_util.h"
 #include "theory/quantifiers/term_database.h"
+#include "theory/quantifiers/term_util.h"
 #include "theory/theory_engine.h"
 
 using namespace CVC4;
@@ -44,7 +46,7 @@ RewriteEngine::RewriteEngine( context::Context* c, QuantifiersEngine* qe ) : Qua
 }
 
 double RewriteEngine::getPriority( Node f ) {
-  Node rr = TermDb::getRewriteRule( f );
+  Node rr = QuantAttributes::getRewriteRule( f );
   Node rrr = rr[2];
   Trace("rr-priority") << "Get priority : " << rrr << " " << rrr.getKind() << std::endl;
   bool deterministic = rrr[1].getKind()!=OR;
@@ -121,7 +123,7 @@ int RewriteEngine::checkRewriteRule( Node f, Theory::Effort e ) {
     if( it!=d_qinfo.end() ){
       QuantInfo * qi = &it->second;
       if( qi->matchGeneratorIsValid() ){
-        Node rr = TermDb::getRewriteRule( f );
+        Node rr = QuantAttributes::getRewriteRule( f );
         Trace("rewrite-engine-inst-debug") << "   Reset round..." << std::endl;
         qi->reset_round( qcf );
         Trace("rewrite-engine-inst-debug") << "   Get matches..." << std::endl;
@@ -211,7 +213,7 @@ int RewriteEngine::checkRewriteRule( Node f, Theory::Effort e ) {
 }
 
 void RewriteEngine::registerQuantifier( Node f ) {
-  Node rr = TermDb::getRewriteRule( f );
+  Node rr = QuantAttributes::getRewriteRule( f );
   if( !rr.isNull() ){
     Trace("rr-register") << "Register quantifier " << f << std::endl;
     Trace("rr-register") << "  rewrite rule is : " << rr << std::endl;
@@ -262,7 +264,7 @@ void RewriteEngine::registerQuantifier( Node f ) {
             body_c.push_back( d_rr[f][1][j].negate() );
           }
         }
-      }else if( d_rr[f][1]!=d_quantEngine->getTermDatabase()->d_true ){
+      }else if( d_rr[f][1]!=d_quantEngine->getTermUtil()->d_true ){
         if( MatchGen::isHandled( d_rr[f][1] ) ){
           body_c.push_back( d_rr[f][1].negate() );
         }
@@ -291,7 +293,7 @@ bool RewriteEngine::checkCompleteFor( Node q ) {
 Node RewriteEngine::getInstConstNode( Node n, Node q ) {
   std::map< Node, Node >::iterator it = d_inst_const_node[q].find( n );
   if( it==d_inst_const_node[q].end() ){
-    Node nn = d_quantEngine->getTermDatabase()->getInstConstantNode( n, q );
+    Node nn = d_quantEngine->getTermUtil()->getInstConstantNode( n, q );
     d_inst_const_node[q][n] = nn;
     return nn;
   }else{
diff --git a/src/theory/quantifiers/sygus_grammar_cons.cpp b/src/theory/quantifiers/sygus_grammar_cons.cpp
index 194e32b61..2eb541e66 100644
--- a/src/theory/quantifiers/sygus_grammar_cons.cpp
+++ b/src/theory/quantifiers/sygus_grammar_cons.cpp
@@ -19,6 +19,7 @@
 #include "expr/datatype.h"
 #include "options/quantifiers_options.h"
 #include "theory/quantifiers/term_database_sygus.h"
+#include "theory/quantifiers/term_util.h"
 
 using namespace CVC4::kind;
 using namespace std;
@@ -559,7 +560,7 @@ TypeNode CegGrammarConstructor::mkSygusTemplateTypeRec( Node templ, Node templ_a
     Node op;
     std::vector< Type > argTypes;
     if( templ.getNumChildren()==0 ){
-      // TODO : can short circuit to this case when !TermDb::containsTerm( templ, templ_arg )
+      // TODO : can short circuit to this case when !TermUtil::containsTerm( templ, templ_arg )
       op = templ;
     }else{
       Assert( templ.hasOperator() );
diff --git a/src/theory/quantifiers/term_database.cpp b/src/theory/quantifiers/term_database.cpp
index 79fdf8791..d4a71e43c 100644
--- a/src/theory/quantifiers/term_database.cpp
+++ b/src/theory/quantifiers/term_database.cpp
@@ -22,10 +22,12 @@
 #include "theory/quantifiers/ce_guided_instantiation.h"
 #include "theory/quantifiers/first_order_model.h"
 #include "theory/quantifiers/fun_def_engine.h"
+#include "theory/quantifiers/quantifiers_attributes.h"
 #include "theory/quantifiers/rewrite_engine.h"
 #include "theory/quantifiers/theory_quantifiers.h"
 #include "theory/quantifiers/trigger.h"
 #include "theory/quantifiers/term_database_sygus.h"
+#include "theory/quantifiers/term_util.h"
 #include "theory/quantifiers_engine.h"
 #include "theory/theory_engine.h"
 
@@ -84,22 +86,21 @@ void TermArgTrie::debugPrint( const char * c, Node n, unsigned depth ) {
 TermDb::TermDb(context::Context* c, context::UserContext* u,
                QuantifiersEngine* qe)
     : d_quantEngine(qe),
-      d_inactive_map(c),
-      d_op_id_count(0),
-      d_typ_id_count(0),
-      d_sygus_tdb(NULL) {
+      d_inactive_map(c) {
   d_consistent_ee = true;
   d_true = NodeManager::currentNM()->mkConst(true);
   d_false = NodeManager::currentNM()->mkConst(false);
-  d_zero = NodeManager::currentNM()->mkConst(Rational(0));
-  d_one = NodeManager::currentNM()->mkConst(Rational(1));
-  if (options::ceGuidedInst()) {
-    d_sygus_tdb = new TermDbSygus(c, qe);
-  }
 }
+
 TermDb::~TermDb(){
-  if(d_sygus_tdb) {
-    delete d_sygus_tdb;
+
+}
+
+void TermDb::registerQuantifier( Node q ) {
+  Assert( q[0].getNumChildren()==d_quantEngine->getTermUtil()->getNumInstantiationConstants( q ) );
+  for( unsigned i=0; i<q[0].getNumChildren(); i++ ){
+    Node ic = d_quantEngine->getTermUtil()->getInstantiationConstant( q, i );
+    setTermInactive( ic );
   }
 }
 
@@ -165,7 +166,7 @@ void TermDb::addTerm( Node n, std::set< Node >& added, bool withinQuant, bool wi
     bool rec = false;
     if( d_processed.find( n )==d_processed.end() ){
       d_processed.insert(n);
-      if( !TermDb::hasInstConstAttr(n) ){
+      if( !TermUtil::hasInstConstAttr(n) ){
         Trace("term-db-debug") << "register term : " << n << std::endl;
         d_type_map[ n.getType() ].push_back( n );
         //if this is an atomic trigger, consider adding it
@@ -180,8 +181,8 @@ void TermDb::addTerm( Node n, std::set< Node >& added, bool withinQuant, bool wi
           d_op_map[op].push_back( n );
           added.insert( n );
           
-          if( d_sygus_tdb ){
-            d_sygus_tdb->registerEvalTerm( n );
+          if( d_quantEngine->getTermDatabaseSygus() ){
+            d_quantEngine->getTermDatabaseSygus()->registerEvalTerm( n );
           }
         }
       }else{
@@ -660,7 +661,7 @@ bool TermDb::isTermEligibleForInstantiation( TNode n, TNode f, bool print ) {
   }
   if( options::instMaxLevel()!=-1 ){
     if( n.hasAttribute(InstLevelAttribute()) ){
-      int fml = f.isNull() ? -1 : getQAttrQuantInstLevel( f );
+      int fml = f.isNull() ? -1 : d_quantEngine->getQuantAttributes()->getQuantInstLevel( f );
       unsigned ml = fml>=0 ? fml : options::instMaxLevel();
 
       if( n.getAttribute(InstLevelAttribute())>ml ){
@@ -882,12 +883,13 @@ TNode TermDb::getCongruentTerm( Node f, std::vector< TNode >& args ) {
   return d_func_map_trie[f].existsTerm( args );
 }
 
+
 Node TermDb::getModelBasisTerm( TypeNode tn, int i ){
   if( d_model_basis_term.find( tn )==d_model_basis_term.end() ){
     Node mbt;
     if( tn.isInteger() || tn.isReal() ){
-      mbt = d_zero;
-    }else if( isClosedEnumerableType( tn ) ){
+      mbt = NodeManager::currentNM()->mkConst(Rational(0));
+    }else if( d_quantEngine->getTermUtil()->isClosedEnumerableType( tn ) ){
       mbt = tn.mkGroundTerm();
     }else{
       if( options::fmfFreshDistConst() || d_type_map[ tn ].empty() ){
@@ -935,14 +937,15 @@ Node TermDb::getModelBasis( Node q, Node n ){
       d_model_basis_terms[q].push_back( getModelBasisTerm( q[0][j].getType() ) );
     }
   }
-  Node gn = n.substitute( d_inst_constants[q].begin(), d_inst_constants[q].end(),
+  Node gn = n.substitute( d_quantEngine->getTermUtil()->d_inst_constants[q].begin(), 
+                          d_quantEngine->getTermUtil()->d_inst_constants[q].end(),
                           d_model_basis_terms[q].begin(), d_model_basis_terms[q].end() );
   return gn;
 }
 
 Node TermDb::getModelBasisBody( Node q ){
   if( d_model_basis_body.find( q )==d_model_basis_body.end() ){
-    Node n = getInstConstantBody( q );
+    Node n = d_quantEngine->getTermUtil()->getInstConstantBody( q );
     d_model_basis_body[q] = getModelBasis( q, n );
   }
   return d_model_basis_body[q];
@@ -966,1440 +969,6 @@ void TermDb::computeModelBasisArgAttribute( Node n ){
   }
 }
 
-void TermDb::makeInstantiationConstantsFor( Node q ){
-  if( d_inst_constants.find( q )==d_inst_constants.end() ){
-    Debug("quantifiers-engine") << "Instantiation constants for " << q << " : " << std::endl;
-    for( unsigned i=0; i<q[0].getNumChildren(); i++ ){
-      d_vars[q].push_back( q[0][i] );
-      d_var_num[q][q[0][i]] = i;
-      //make instantiation constants
-      Node ic = NodeManager::currentNM()->mkInstConstant( q[0][i].getType() );
-      d_inst_constants_map[ic] = q;
-      d_inst_constants[ q ].push_back( ic );
-      Debug("quantifiers-engine") << "  " << ic << std::endl;
-      //set the var number attribute
-      InstVarNumAttribute ivna;
-      ic.setAttribute( ivna, i );
-      InstConstantAttribute ica;
-      ic.setAttribute( ica, q );
-      //also set the term inactive
-      setTermInactive( ic );
-    }
-  }
-}
-
-void TermDb::getBoundVars2( Node n, std::vector< Node >& vars, std::map< Node, bool >& visited ) {
-  if( visited.find( n )==visited.end() ){
-    visited[n] = true;
-    if( n.getKind()==BOUND_VARIABLE ){
-      if( std::find( vars.begin(), vars.end(), n )==vars.end() ) {
-        vars.push_back( n );
-      }
-    }
-    for( unsigned i=0; i<n.getNumChildren(); i++ ){
-      getBoundVars2( n[i], vars, visited );
-    }
-  }
-}
-
-Node TermDb::getRemoveQuantifiers2( Node n, std::map< Node, Node >& visited ) {
-  std::map< Node, Node >::iterator it = visited.find( n );
-  if( it!=visited.end() ){
-    return it->second;
-  }else{
-    Node ret = n;
-    if( n.getKind()==FORALL ){
-      ret = getRemoveQuantifiers2( n[1], visited );
-    }else if( n.getNumChildren()>0 ){
-      std::vector< Node > children;
-      bool childrenChanged = false;
-      for( unsigned i=0; i<n.getNumChildren(); i++ ){
-        Node ni = getRemoveQuantifiers2( n[i], visited );
-        childrenChanged = childrenChanged || ni!=n[i];
-        children.push_back( ni );
-      }
-      if( childrenChanged ){
-        if( n.getMetaKind() == kind::metakind::PARAMETERIZED ){
-          children.insert( children.begin(), n.getOperator() );
-        }
-        ret = NodeManager::currentNM()->mkNode( n.getKind(), children );
-      }
-    }
-    visited[n] = ret;
-    return ret;
-  }
-}
-
-Node TermDb::getInstConstAttr( Node n ) {
-  if (!n.hasAttribute(InstConstantAttribute()) ){
-    Node q;
-    for( unsigned i=0; i<n.getNumChildren(); i++ ){
-      q = getInstConstAttr(n[i]);
-      if( !q.isNull() ){
-        break;
-      }
-    }
-    InstConstantAttribute ica;
-    n.setAttribute(ica, q);
-  }
-  return n.getAttribute(InstConstantAttribute());
-}
-
-bool TermDb::hasInstConstAttr( Node n ) {
-  return !getInstConstAttr(n).isNull();
-}
-
-Node TermDb::getBoundVarAttr( Node n ) {
-  if (!n.hasAttribute(BoundVarAttribute()) ){
-    Node bv;
-    if( n.getKind()==BOUND_VARIABLE ){
-      bv = n;
-    }else{
-      for( unsigned i=0; i<n.getNumChildren(); i++ ){
-        bv = getBoundVarAttr(n[i]);
-        if( !bv.isNull() ){
-          break;
-        }
-      }
-    }
-    BoundVarAttribute bva;
-    n.setAttribute(bva, bv);
-  }
-  return n.getAttribute(BoundVarAttribute());
-}
-
-bool TermDb::hasBoundVarAttr( Node n ) {
-  return !getBoundVarAttr(n).isNull();
-}
-
-void TermDb::getBoundVars( Node n, std::vector< Node >& vars ) {
-  std::map< Node, bool > visited;
-  return getBoundVars2( n, vars, visited );
-}
-
-//remove quantifiers
-Node TermDb::getRemoveQuantifiers( Node n ) {
-  std::map< Node, Node > visited;
-  return getRemoveQuantifiers2( n, visited );
-}
-
-//quantified simplify
-Node TermDb::getQuantSimplify( Node n ) {
-  std::vector< Node > bvs;
-  getBoundVars( n, bvs );
-  if( bvs.empty() ) {
-    return Rewriter::rewrite( n );
-  }else{
-    Node q = NodeManager::currentNM()->mkNode( FORALL, NodeManager::currentNM()->mkNode( BOUND_VAR_LIST, bvs ), n );
-    q = Rewriter::rewrite( q );
-    return getRemoveQuantifiers( q );
-  }
-}
-
-/** get the i^th instantiation constant of q */
-Node TermDb::getInstantiationConstant( Node q, int i ) const {
-  std::map< Node, std::vector< Node > >::const_iterator it = d_inst_constants.find( q );
-  if( it!=d_inst_constants.end() ){
-    return it->second[i];
-  }else{
-    return Node::null();
-  }
-}
-
-/** get number of instantiation constants for q */
-unsigned TermDb::getNumInstantiationConstants( Node q ) const {
-  std::map< Node, std::vector< Node > >::const_iterator it = d_inst_constants.find( q );
-  if( it!=d_inst_constants.end() ){
-    return it->second.size();
-  }else{
-    return 0;
-  }
-}
-
-Node TermDb::getInstConstantBody( Node q ){
-  std::map< Node, Node >::iterator it = d_inst_const_body.find( q );
-  if( it==d_inst_const_body.end() ){
-    Node n = getInstConstantNode( q[1], q );
-    d_inst_const_body[ q ] = n;
-    return n;
-  }else{
-    return it->second;
-  }
-}
-
-Node TermDb::getCounterexampleLiteral( Node q ){
-  if( d_ce_lit.find( q )==d_ce_lit.end() ){
-    /*
-    Node ceBody = getInstConstantBody( f );
-    //check if any variable are of bad types, and fail if so
-    for( size_t i=0; i<d_inst_constants[f].size(); i++ ){
-      if( d_inst_constants[f][i].getType().isBoolean() ){
-        d_ce_lit[ f ] = Node::null();
-        return Node::null();
-      }
-    }
-    */
-    Node g = NodeManager::currentNM()->mkSkolem( "g", NodeManager::currentNM()->booleanType() );
-    //otherwise, ensure literal
-    Node ceLit = d_quantEngine->getValuation().ensureLiteral( g );
-    d_ce_lit[ q ] = ceLit;
-  }
-  return d_ce_lit[ q ];
-}
-
-Node TermDb::getInstConstantNode( Node n, Node q ){
-  makeInstantiationConstantsFor( q );
-  return n.substitute( d_vars[q].begin(), d_vars[q].end(), d_inst_constants[q].begin(), d_inst_constants[q].end() );
-}
-
-Node TermDb::getVariableNode( Node n, Node q ) {
-  makeInstantiationConstantsFor( q );
-  return n.substitute( d_inst_constants[q].begin(), d_inst_constants[q].end(), d_vars[q].begin(), d_vars[q].end() );
-}
-
-Node TermDb::getInstantiatedNode( Node n, Node q, std::vector< Node >& terms ) {
-  Assert( d_vars[q].size()==terms.size() );
-  return n.substitute( d_vars[q].begin(), d_vars[q].end(), terms.begin(), terms.end() );
-}
-
-
-void getSelfSel( const Datatype& dt, const DatatypeConstructor& dc, Node n, TypeNode ntn, std::vector< Node >& selfSel ){
-  TypeNode tspec;
-  if( dt.isParametric() ){
-    tspec = TypeNode::fromType( dc.getSpecializedConstructorType(n.getType().toType()) );
-    Trace("sk-ind-debug") << "Specialized constructor type : " << tspec << std::endl;
-    Assert( tspec.getNumChildren()==dc.getNumArgs() );
-  }
-  Trace("sk-ind-debug") << "Check self sel " << dc.getName() << " " << dt.getName() << std::endl;
-  for( unsigned j=0; j<dc.getNumArgs(); j++ ){
-    std::vector< Node > ssc;
-    if( dt.isParametric() ){
-      Trace("sk-ind-debug") << "Compare " << tspec[j] << " " << ntn << std::endl;
-      if( tspec[j]==ntn ){
-        ssc.push_back( n );
-      }
-    }else{
-      TypeNode tn = TypeNode::fromType( dc[j].getRangeType() );
-      Trace("sk-ind-debug") << "Compare " << tn << " " << ntn << std::endl;
-      if( tn==ntn ){
-        ssc.push_back( n );
-      }
-    }
-    /* TODO: more than weak structural induction
-    else if( tn.isDatatype() && std::find( visited.begin(), visited.end(), tn )==visited.end() ){
-      visited.push_back( tn );
-      const Datatype& dt = ((DatatypeType)(subs[0].getType()).toType()).getDatatype();
-      std::vector< Node > disj;
-      for( unsigned i=0; i<dt.getNumConstructors(); i++ ){
-        getSelfSel( dt[i], n, ntn, ssc );
-      }
-      visited.pop_back();
-    }
-    */
-    for( unsigned k=0; k<ssc.size(); k++ ){
-      Node ss = NodeManager::currentNM()->mkNode( APPLY_SELECTOR_TOTAL, dc.getSelectorInternal( n.getType().toType(), j ), n );
-      if( std::find( selfSel.begin(), selfSel.end(), ss )==selfSel.end() ){
-        selfSel.push_back( ss );
-      }
-    }
-  }
-}
-
-
-Node TermDb::mkSkolemizedBody( Node f, Node n, std::vector< TypeNode >& argTypes, std::vector< TNode >& fvs,
-                               std::vector< Node >& sk, Node& sub, std::vector< unsigned >& sub_vars ) {
-  Assert( sk.empty() || sk.size()==f[0].getNumChildren() );
-  //calculate the variables and substitution
-  std::vector< TNode > ind_vars;
-  std::vector< unsigned > ind_var_indicies;
-  std::vector< TNode > vars;
-  std::vector< unsigned > var_indicies;
-  for( unsigned i=0; i<f[0].getNumChildren(); i++ ){
-    if( isInductionTerm( f[0][i] ) ){
-      ind_vars.push_back( f[0][i] );
-      ind_var_indicies.push_back( i );
-    }else{
-      vars.push_back( f[0][i] );
-      var_indicies.push_back( i );
-    }
-    Node s;
-    //make the new function symbol or use existing
-    if( i>=sk.size() ){
-      if( argTypes.empty() ){
-        s = NodeManager::currentNM()->mkSkolem( "skv", f[0][i].getType(), "created during skolemization" );
-      }else{
-        TypeNode typ = NodeManager::currentNM()->mkFunctionType( argTypes, f[0][i].getType() );
-        Node op = NodeManager::currentNM()->mkSkolem( "skop", typ, "op created during pre-skolemization" );
-        //DOTHIS: set attribute on op, marking that it should not be selected as trigger
-        std::vector< Node > funcArgs;
-        funcArgs.push_back( op );
-        funcArgs.insert( funcArgs.end(), fvs.begin(), fvs.end() );
-        s = NodeManager::currentNM()->mkNode( kind::APPLY_UF, funcArgs );
-      }
-      sk.push_back( s );
-    }else{
-      Assert( sk[i].getType()==f[0][i].getType() );
-    }
-  }
-  Node ret;
-  if( vars.empty() ){
-    ret = n;
-  }else{
-    std::vector< Node > var_sk;
-    for( unsigned i=0; i<var_indicies.size(); i++ ){
-      var_sk.push_back( sk[var_indicies[i]] );
-    }
-    Assert( vars.size()==var_sk.size() );
-    ret = n.substitute( vars.begin(), vars.end(), var_sk.begin(), var_sk.end() );
-  }
-  if( !ind_vars.empty() ){
-    Trace("sk-ind") << "Ind strengthen : (not " << f << ")" << std::endl;
-    Trace("sk-ind") << "Skolemized is : " << ret << std::endl;
-    Node n_str_ind;
-    TypeNode tn = ind_vars[0].getType();
-    Node k = sk[ind_var_indicies[0]];
-    Node nret = ret.substitute( ind_vars[0], k );
-    //note : everything is under a negation
-    //the following constructs ~( R( x, k ) => ~P( x ) )
-    if( options::dtStcInduction() && tn.isDatatype() ){
-      const Datatype& dt = ((DatatypeType)(tn).toType()).getDatatype();
-      std::vector< Node > disj;
-      for( unsigned i=0; i<dt.getNumConstructors(); i++ ){
-        std::vector< Node > selfSel;
-        getSelfSel( dt, dt[i], k, tn, selfSel );
-        std::vector< Node > conj;
-        conj.push_back( NodeManager::currentNM()->mkNode( APPLY_TESTER, Node::fromExpr( dt[i].getTester() ), k ).negate() );
-        for( unsigned j=0; j<selfSel.size(); j++ ){
-          conj.push_back( ret.substitute( ind_vars[0], selfSel[j] ).negate() );
-        }
-        disj.push_back( conj.size()==1 ? conj[0] : NodeManager::currentNM()->mkNode( OR, conj ) );
-      }
-      Assert( !disj.empty() );
-      n_str_ind = disj.size()==1 ? disj[0] : NodeManager::currentNM()->mkNode( AND, disj );
-    }else if( options::intWfInduction() && tn.isInteger() ){
-      Node icond = NodeManager::currentNM()->mkNode( GEQ, k, NodeManager::currentNM()->mkConst( Rational(0) ) );
-      Node iret = ret.substitute( ind_vars[0], NodeManager::currentNM()->mkNode( MINUS, k, NodeManager::currentNM()->mkConst( Rational(1) ) ) ).negate();
-      n_str_ind = NodeManager::currentNM()->mkNode( OR, icond.negate(), iret );
-      n_str_ind = NodeManager::currentNM()->mkNode( AND, icond, n_str_ind );
-    }else{
-      Trace("sk-ind") << "Unknown induction for term : " << ind_vars[0] << ", type = " << tn << std::endl;
-      Assert( false );
-    }
-    Trace("sk-ind") << "Strengthening is : " << n_str_ind << std::endl;
-
-    std::vector< Node > rem_ind_vars;
-    rem_ind_vars.insert( rem_ind_vars.end(), ind_vars.begin()+1, ind_vars.end() );
-    if( !rem_ind_vars.empty() ){
-      Node bvl = NodeManager::currentNM()->mkNode( BOUND_VAR_LIST, rem_ind_vars );
-      nret = NodeManager::currentNM()->mkNode( FORALL, bvl, nret );
-      nret = Rewriter::rewrite( nret );
-      sub = nret;
-      sub_vars.insert( sub_vars.end(), ind_var_indicies.begin()+1, ind_var_indicies.end() );
-      n_str_ind = NodeManager::currentNM()->mkNode( FORALL, bvl, n_str_ind.negate() ).negate();
-    }
-    ret = NodeManager::currentNM()->mkNode( OR, nret, n_str_ind );
-  }
-  Trace("quantifiers-sk-debug") << "mkSkolem body for " << f << " returns : " << ret << std::endl;
-  //if it has an instantiation level, set the skolemized body to that level
-  if( f.hasAttribute(InstLevelAttribute()) ){
-    theory::QuantifiersEngine::setInstantiationLevelAttr( ret, f.getAttribute(InstLevelAttribute()) );
-  }
-
-  if( Trace.isOn("quantifiers-sk") ){
-    Trace("quantifiers-sk") << "Skolemize : ";
-    for( unsigned i=0; i<sk.size(); i++ ){
-      Trace("quantifiers-sk") << sk[i] << " ";
-    }
-    Trace("quantifiers-sk") << "for " << std::endl;
-    Trace("quantifiers-sk") << "   " << f << std::endl;
-  }
-
-  return ret;
-}
-
-Node TermDb::getSkolemizedBody( Node f ){
-  Assert( f.getKind()==FORALL );
-  if( d_skolem_body.find( f )==d_skolem_body.end() ){
-    std::vector< TypeNode > fvTypes;
-    std::vector< TNode > fvs;
-    Node sub;
-    std::vector< unsigned > sub_vars;
-    d_skolem_body[ f ] = mkSkolemizedBody( f, f[1], fvTypes, fvs, d_skolem_constants[f], sub, sub_vars );
-    //store sub quantifier information
-    if( !sub.isNull() ){
-      //if we are skolemizing one at a time, we already know the skolem constants of the sub-quantified formula, store them
-      Assert( d_skolem_constants[sub].empty() );
-      for( unsigned i=0; i<sub_vars.size(); i++ ){
-        d_skolem_constants[sub].push_back( d_skolem_constants[f][sub_vars[i]] );
-      }
-    }
-    Assert( d_skolem_constants[f].size()==f[0].getNumChildren() );
-    if( options::sortInference() ){
-      for( unsigned i=0; i<d_skolem_constants[f].size(); i++ ){
-        //carry information for sort inference
-        d_quantEngine->getTheoryEngine()->getSortInference()->setSkolemVar( f, f[0][i], d_skolem_constants[f][i] );
-      }
-    }
-  }
-  return d_skolem_body[ f ];
-}
-
-Node TermDb::getEnumerateTerm( TypeNode tn, unsigned index ) {
-  Trace("term-db-enum") << "Get enumerate term " << tn << " " << index << std::endl;
-  std::map< TypeNode, unsigned >::iterator it = d_typ_enum_map.find( tn );
-  unsigned teIndex;
-  if( it==d_typ_enum_map.end() ){
-    teIndex = (int)d_typ_enum.size();
-    d_typ_enum_map[tn] = teIndex;
-    d_typ_enum.push_back( TypeEnumerator(tn) );
-  }else{
-    teIndex = it->second;
-  }
-  while( index>=d_enum_terms[tn].size() ){
-    if( d_typ_enum[teIndex].isFinished() ){
-      return Node::null();
-    }
-    d_enum_terms[tn].push_back( *d_typ_enum[teIndex] );
-    ++d_typ_enum[teIndex];
-  }
-  return d_enum_terms[tn][index];
-}
-
-bool TermDb::isClosedEnumerableType( TypeNode tn ) {
-  std::map< TypeNode, bool >::iterator it = d_typ_closed_enum.find( tn );
-  if( it==d_typ_closed_enum.end() ){
-    d_typ_closed_enum[tn] = true;
-    bool ret = true;
-    if( tn.isArray() || tn.isSort() || tn.isCodatatype() || tn.isFunction() ){
-      ret = false;
-    }else if( tn.isSet() ){
-      ret = isClosedEnumerableType( tn.getSetElementType() );
-    }else if( tn.isDatatype() ){
-      const Datatype& dt = ((DatatypeType)(tn).toType()).getDatatype();
-      for( unsigned i=0; i<dt.getNumConstructors(); i++ ){
-        for( unsigned j=0; j<dt[i].getNumArgs(); j++ ){
-          TypeNode ctn = TypeNode::fromType( dt[i][j].getRangeType() );
-          if( tn!=ctn && !isClosedEnumerableType( ctn ) ){
-            ret = false;
-            break;
-          }
-        }
-        if( !ret ){
-          break;
-        }
-      }
-    }
-    //TODO: other parametric sorts go here
-    d_typ_closed_enum[tn] = ret;
-    return ret;
-  }else{
-    return it->second;
-  }
-}
-
-//checks whether a type is not Array and is reasonably small enough (<1000) such that all of its domain elements can be enumerated
-bool TermDb::mayComplete( TypeNode tn ) {
-  std::map< TypeNode, bool >::iterator it = d_may_complete.find( tn );
-  if( it==d_may_complete.end() ){
-    bool mc = false;
-    if( isClosedEnumerableType( tn ) && tn.getCardinality().isFinite() && !tn.getCardinality().isLargeFinite() ){
-      Node card = NodeManager::currentNM()->mkConst( Rational(tn.getCardinality().getFiniteCardinality()) );
-      Node oth = NodeManager::currentNM()->mkConst( Rational(1000) );
-      Node eq = NodeManager::currentNM()->mkNode( LEQ, card, oth );
-      eq = Rewriter::rewrite( eq );
-      mc = eq==d_true;
-    }
-    d_may_complete[tn] = mc;
-    return mc;
-  }else{
-    return it->second;
-  }
-}
-
-void TermDb::computeVarContains( Node n, std::vector< Node >& varContains ) {
-  std::map< Node, bool > visited;
-  computeVarContains2( n, INST_CONSTANT, varContains, visited );
-}
-
-void TermDb::computeQuantContains( Node n, std::vector< Node >& quantContains ) {
-  std::map< Node, bool > visited;
-  computeVarContains2( n, FORALL, quantContains, visited );
-}
-
-
-void TermDb::computeVarContains2( Node n, Kind k, std::vector< Node >& varContains, std::map< Node, bool >& visited ){
-  if( visited.find( n )==visited.end() ){
-    visited[n] = true;
-    if( n.getKind()==k ){
-      if( std::find( varContains.begin(), varContains.end(), n )==varContains.end() ){
-        varContains.push_back( n );
-      }
-    }else{
-      for( unsigned i=0; i<n.getNumChildren(); i++ ){
-        computeVarContains2( n[i], k, varContains, visited );
-      }
-    }
-  }
-}
-
-void TermDb::getVarContains( Node f, std::vector< Node >& pats, std::map< Node, std::vector< Node > >& varContains ){
-  for( unsigned i=0; i<pats.size(); i++ ){
-    varContains[ pats[i] ].clear();
-    getVarContainsNode( f, pats[i], varContains[ pats[i] ] );
-  }
-}
-
-void TermDb::getVarContainsNode( Node f, Node n, std::vector< Node >& varContains ){
-  std::vector< Node > vars;
-  computeVarContains( n, vars );
-  for( unsigned j=0; j<vars.size(); j++ ){
-    Node v = vars[j];
-    if( v.getAttribute(InstConstantAttribute())==f ){
-      if( std::find( varContains.begin(), varContains.end(), v )==varContains.end() ){
-        varContains.push_back( v );
-      }
-    }
-  }
-}
-
-int TermDb::isInstanceOf2( Node n1, Node n2, std::vector< Node >& varContains1, std::vector< Node >& varContains2 ){
-  if( n1==n2 ){
-    return 1;
-  }else if( n1.getKind()==n2.getKind() ){
-    if( n1.getKind()==APPLY_UF ){
-      if( n1.getOperator()==n2.getOperator() ){
-        int result = 0;
-        for( int i=0; i<(int)n1.getNumChildren(); i++ ){
-          if( n1[i]!=n2[i] ){
-            int cResult = isInstanceOf2( n1[i], n2[i], varContains1, varContains2 );
-            if( cResult==0 ){
-              return 0;
-            }else if( cResult!=result ){
-              if( result!=0 ){
-                return 0;
-              }else{
-                result = cResult;
-              }
-            }
-          }
-        }
-        return result;
-      }
-    }
-    return 0;
-  }else if( n2.getKind()==INST_CONSTANT ){
-    //if( std::find( d_var_contains[ n1 ].begin(), d_var_contains[ n1 ].end(), n2 )!=d_var_contains[ n1 ].end() ){
-    //  return 1;
-    //}
-    if( varContains1.size()==1 && varContains1[ 0 ]==n2 ){
-      return 1;
-    }
-  }else if( n1.getKind()==INST_CONSTANT ){
-    //if( std::find( d_var_contains[ n2 ].begin(), d_var_contains[ n2 ].end(), n1 )!=d_var_contains[ n2 ].end() ){
-    //  return -1;
-    //}
-    if( varContains2.size()==1 && varContains2[ 0 ]==n1 ){
-      return 1;
-    }
-  }
-  return 0;
-}
-
-int TermDb::isInstanceOf( Node n1, Node n2 ){
-  std::vector< Node > varContains1;
-  std::vector< Node > varContains2;
-  computeVarContains( n1, varContains1 );
-  computeVarContains( n1, varContains2 );
-  return isInstanceOf2( n1, n2, varContains1, varContains2 );
-}
-
-bool TermDb::isUnifiableInstanceOf( Node n1, Node n2, std::map< Node, Node >& subs ){
-  if( n1==n2 ){
-    return true;
-  }else if( n2.getKind()==INST_CONSTANT ){
-    //if( !node_contains( n1, n2 ) ){
-    //  return false;
-    //}
-    if( subs.find( n2 )==subs.end() ){
-      subs[n2] = n1;
-    }else if( subs[n2]!=n1 ){
-      return false;
-    }
-    return true;
-  }else if( n1.getKind()==n2.getKind() && n1.getMetaKind()==kind::metakind::PARAMETERIZED ){
-    if( n1.getOperator()!=n2.getOperator() ){
-      return false;
-    }
-    for( int i=0; i<(int)n1.getNumChildren(); i++ ){
-      if( !isUnifiableInstanceOf( n1[i], n2[i], subs ) ){
-        return false;
-      }
-    }
-    return true;
-  }else{
-    return false;
-  }
-}
-
-void TermDb::filterInstances( std::vector< Node >& nodes ){
-  std::vector< bool > active;
-  active.resize( nodes.size(), true );
-  std::map< int, std::vector< Node > > varContains;
-  for( unsigned i=0; i<nodes.size(); i++ ){
-    computeVarContains( nodes[i], varContains[i] );
-  }
-  for( unsigned i=0; i<nodes.size(); i++ ){
-    for( unsigned j=i+1; j<nodes.size(); j++ ){
-      if( active[i] && active[j] ){
-        int result = isInstanceOf2( nodes[i], nodes[j], varContains[i], varContains[j] );
-        if( result==1 ){
-          Trace("filter-instances") << nodes[j] << " is an instance of " << nodes[i] << std::endl;
-          active[j] = false;
-        }else if( result==-1 ){
-          Trace("filter-instances") << nodes[i] << " is an instance of " << nodes[j] << std::endl;
-          active[i] = false;
-        }
-      }
-    }
-  }
-  std::vector< Node > temp;
-  for( unsigned i=0; i<nodes.size(); i++ ){
-    if( active[i] ){
-      temp.push_back( nodes[i] );
-    }
-  }
-  nodes.clear();
-  nodes.insert( nodes.begin(), temp.begin(), temp.end() );
-}
-
-int TermDb::getIdForOperator( Node op ) {
-  std::map< Node, int >::iterator it = d_op_id.find( op );
-  if( it==d_op_id.end() ){
-    d_op_id[op] = d_op_id_count;
-    d_op_id_count++;
-    return d_op_id[op];
-  }else{
-    return it->second;
-  }
-}
-
-int TermDb::getIdForType( TypeNode t ) {
-  std::map< TypeNode, int >::iterator it = d_typ_id.find( t );
-  if( it==d_typ_id.end() ){
-    d_typ_id[t] = d_typ_id_count;
-    d_typ_id_count++;
-    return d_typ_id[t];
-  }else{
-    return it->second;
-  }
-}
-
-bool TermDb::getTermOrder( Node a, Node b ) {
-  if( a.getKind()==BOUND_VARIABLE ){
-    if( b.getKind()==BOUND_VARIABLE ){
-      return a.getAttribute(InstVarNumAttribute())<b.getAttribute(InstVarNumAttribute());
-    }else{
-      return true;
-    }
-  }else if( b.getKind()!=BOUND_VARIABLE ){
-    Node aop = a.hasOperator() ? a.getOperator() : a;
-    Node bop = b.hasOperator() ? b.getOperator() : b;
-    Trace("aeq-debug2") << a << "...op..." << aop << std::endl;
-    Trace("aeq-debug2") << b << "...op..." << bop << std::endl;
-    if( aop==bop ){
-      if( a.getNumChildren()==b.getNumChildren() ){
-        for( unsigned i=0; i<a.getNumChildren(); i++ ){
-          if( a[i]!=b[i] ){
-            //first distinct child determines the ordering
-            return getTermOrder( a[i], b[i] );
-          }
-        }
-      }else{
-        return aop.getNumChildren()<bop.getNumChildren();
-      }
-    }else{
-      return getIdForOperator( aop )<getIdForOperator( bop );
-    }
-  }
-  return false;
-}
-
-
-
-Node TermDb::getCanonicalFreeVar( TypeNode tn, unsigned i ) {
-  Assert( !tn.isNull() );
-  while( d_cn_free_var[tn].size()<=i ){
-    std::stringstream oss;
-    oss << tn;
-    std::string typ_name = oss.str();
-    while( typ_name[0]=='(' ){
-      typ_name.erase( typ_name.begin() );
-    }
-    std::stringstream os;
-    os << typ_name[0] << i;
-    Node x = NodeManager::currentNM()->mkBoundVar( os.str().c_str(), tn );
-    InstVarNumAttribute ivna;
-    x.setAttribute(ivna,d_cn_free_var[tn].size());
-    d_cn_free_var[tn].push_back( x );
-  }
-  return d_cn_free_var[tn][i];
-}
-
-struct sortTermOrder {
-  TermDb* d_tdb;
-  //std::map< Node, std::map< Node, bool > > d_cache;
-  bool operator() (Node i, Node j) {
-    /*
-    //must consult cache since term order is partial?
-    std::map< Node, bool >::iterator it = d_cache[j].find( i );
-    if( it!=d_cache[j].end() && it->second ){
-      return false;
-    }else{
-      bool ret = d_tdb->getTermOrder( i, j );
-      d_cache[i][j] = ret;
-      return ret;
-    }
-    */
-    return d_tdb->getTermOrder( i, j );
-  }
-};
-
-//this function makes a canonical representation of a term (
-//  - orders variables left to right
-//  - if apply_torder, then sort direct subterms of commutative operators
-Node TermDb::getCanonicalTerm( TNode n, std::map< TypeNode, unsigned >& var_count, std::map< TNode, TNode >& subs, bool apply_torder, std::map< TNode, Node >& visited ) {
-  Trace("canon-term-debug") << "Get canonical term for " << n << std::endl;
-  if( n.getKind()==BOUND_VARIABLE ){
-    std::map< TNode, TNode >::iterator it = subs.find( n );
-    if( it==subs.end() ){
-      TypeNode tn = n.getType();
-      //allocate variable
-      unsigned vn = var_count[tn];
-      var_count[tn]++;
-      subs[n] = getCanonicalFreeVar( tn, vn );
-      Trace("canon-term-debug") << "...allocate variable." << std::endl;
-      return subs[n];
-    }else{
-      Trace("canon-term-debug") << "...return variable in subs." << std::endl;
-      return it->second;
-    }
-  }else if( n.getNumChildren()>0 ){
-    std::map< TNode, Node >::iterator it = visited.find( n );
-    if( it!=visited.end() ){
-      return it->second;
-    }else{
-      //collect children
-      Trace("canon-term-debug") << "Collect children" << std::endl;
-      std::vector< Node > cchildren;
-      for( unsigned i=0; i<n.getNumChildren(); i++ ){
-        cchildren.push_back( n[i] );
-      }
-      //if applicable, first sort by term order
-      if( apply_torder && isComm( n.getKind() ) ){
-        Trace("canon-term-debug") << "Sort based on commutative operator " << n.getKind() << std::endl;
-        sortTermOrder sto;
-        sto.d_tdb = this;
-        std::sort( cchildren.begin(), cchildren.end(), sto );
-      }
-      //now make canonical
-      Trace("canon-term-debug") << "Make canonical children" << std::endl;
-      for( unsigned i=0; i<cchildren.size(); i++ ){
-        cchildren[i] = getCanonicalTerm( cchildren[i], var_count, subs, apply_torder, visited );
-      }
-      if( n.getMetaKind() == kind::metakind::PARAMETERIZED ){
-        Trace("canon-term-debug") << "Insert operator " << n.getOperator() << std::endl;
-        cchildren.insert( cchildren.begin(), n.getOperator() );
-      }
-      Trace("canon-term-debug") << "...constructing for " << n << "." << std::endl;
-      Node ret = NodeManager::currentNM()->mkNode( n.getKind(), cchildren );
-      Trace("canon-term-debug") << "...constructed " << ret << " for " << n << "." << std::endl;
-      visited[n] = ret;
-      return ret;
-    }
-  }else{
-    Trace("canon-term-debug") << "...return 0-child term." << std::endl;
-    return n;
-  }
-}
-
-Node TermDb::getCanonicalTerm( TNode n, bool apply_torder ){
-  std::map< TypeNode, unsigned > var_count;
-  std::map< TNode, TNode > subs;
-  std::map< TNode, Node > visited;
-  return getCanonicalTerm( n, var_count, subs, apply_torder, visited );
-}
-
-void TermDb::getVtsTerms( std::vector< Node >& t, bool isFree, bool create, bool inc_delta ) {
-  if( inc_delta ){
-    Node delta = getVtsDelta( isFree, create );
-    if( !delta.isNull() ){
-      t.push_back( delta );
-    }
-  }
-  for( unsigned r=0; r<2; r++ ){
-    Node inf = getVtsInfinityIndex( r, isFree, create );
-    if( !inf.isNull() ){
-      t.push_back( inf );
-    }
-  }
-}
-
-Node TermDb::getVtsDelta( bool isFree, bool create ) {
-  if( create ){
-    if( d_vts_delta_free.isNull() ){
-      d_vts_delta_free = NodeManager::currentNM()->mkSkolem( "delta_free", NodeManager::currentNM()->realType(), "free delta for virtual term substitution" );
-      Node delta_lem = NodeManager::currentNM()->mkNode( GT, d_vts_delta_free, d_zero );
-      d_quantEngine->getOutputChannel().lemma( delta_lem );
-    }
-    if( d_vts_delta.isNull() ){
-      d_vts_delta = NodeManager::currentNM()->mkSkolem( "delta", NodeManager::currentNM()->realType(), "delta for virtual term substitution" );
-      //mark as a virtual term
-      VirtualTermSkolemAttribute vtsa;
-      d_vts_delta.setAttribute(vtsa,true);
-    }
-  }
-  return isFree ? d_vts_delta_free : d_vts_delta;
-}
-
-Node TermDb::getVtsInfinity( TypeNode tn, bool isFree, bool create ) {
-  if( create ){
-    if( d_vts_inf_free[tn].isNull() ){
-      d_vts_inf_free[tn] = NodeManager::currentNM()->mkSkolem( "inf_free", tn, "free infinity for virtual term substitution" );
-    }
-    if( d_vts_inf[tn].isNull() ){
-      d_vts_inf[tn] = NodeManager::currentNM()->mkSkolem( "inf", tn, "infinity for virtual term substitution" );
-      //mark as a virtual term
-      VirtualTermSkolemAttribute vtsa;
-      d_vts_inf[tn].setAttribute(vtsa,true);
-    }
-  }
-  return isFree ? d_vts_inf_free[tn] : d_vts_inf[tn];
-}
-
-Node TermDb::getVtsInfinityIndex( int i, bool isFree, bool create ) {
-  if( i==0 ){
-    return getVtsInfinity( NodeManager::currentNM()->realType(), isFree, create );
-  }else if( i==1 ){
-    return getVtsInfinity( NodeManager::currentNM()->integerType(), isFree, create );
-  }else{
-    Assert( false );
-    return Node::null();
-  }
-}
-
-Node TermDb::substituteVtsFreeTerms( Node n ) {
-  std::vector< Node > vars;
-  getVtsTerms( vars, false, false );
-  std::vector< Node > vars_free;
-  getVtsTerms( vars_free, true, false );
-  Assert( vars.size()==vars_free.size() );
-  if( !vars.empty() ){
-    return n.substitute( vars.begin(), vars.end(), vars_free.begin(), vars_free.end() );
-  }else{
-    return n;
-  }
-}
-
-Node TermDb::rewriteVtsSymbols( Node n ) {
-  if( ( n.getKind()==EQUAL || n.getKind()==GEQ ) ){
-    Trace("quant-vts-debug") << "VTS : process " << n << std::endl;
-    Node rew_vts_inf;
-    bool rew_delta = false;
-    //rewriting infinity always takes precedence over rewriting delta
-    for( unsigned r=0; r<2; r++ ){
-      Node inf = getVtsInfinityIndex( r, false, false );
-      if( !inf.isNull() && containsTerm( n, inf ) ){
-        if( rew_vts_inf.isNull() ){
-          rew_vts_inf = inf;
-        }else{
-          //for mixed int/real with multiple infinities
-          Trace("quant-vts-debug") << "Multiple infinities...equate " << inf << " = " << rew_vts_inf << std::endl;
-          std::vector< Node > subs_lhs;
-          subs_lhs.push_back( inf );
-          std::vector< Node > subs_rhs;
-          subs_lhs.push_back( rew_vts_inf );
-          n = n.substitute( subs_lhs.begin(), subs_lhs.end(), subs_rhs.begin(), subs_rhs.end() );
-          n = Rewriter::rewrite( n );
-          //may have cancelled
-          if( !containsTerm( n, rew_vts_inf ) ){
-            rew_vts_inf = Node::null();
-          }
-        }
-      }
-    }
-    if( rew_vts_inf.isNull() ){
-      if( !d_vts_delta.isNull() && containsTerm( n, d_vts_delta ) ){
-        rew_delta = true;
-      }
-    }
-    if( !rew_vts_inf.isNull()  || rew_delta ){
-      std::map< Node, Node > msum;
-      if( QuantArith::getMonomialSumLit( n, msum ) ){
-        if( Trace.isOn("quant-vts-debug") ){
-          Trace("quant-vts-debug") << "VTS got monomial sum : " << std::endl;
-          QuantArith::debugPrintMonomialSum( msum, "quant-vts-debug" );
-        }
-        Node vts_sym = !rew_vts_inf.isNull() ? rew_vts_inf : d_vts_delta;
-        Assert( !vts_sym.isNull() );
-        Node iso_n;
-        Node nlit;
-        int res = QuantArith::isolate( vts_sym, msum, iso_n, n.getKind(), true );
-        if( res!=0 ){
-          Trace("quant-vts-debug") << "VTS isolated :  -> " << iso_n << ", res = " << res << std::endl;
-          Node slv = iso_n[res==1 ? 1 : 0];
-          //ensure the vts terms have been eliminated
-          if( containsVtsTerm( slv ) ){
-            Trace("quant-vts-warn") << "Bad vts literal : " << n << ", contains " << vts_sym << " but bad solved form " << slv << "." << std::endl;
-            nlit = substituteVtsFreeTerms( n );
-            Trace("quant-vts-debug") << "...return " << nlit << std::endl;
-            //Assert( false );
-            //safe case: just convert to free symbols
-            return nlit;
-          }else{
-            if( !rew_vts_inf.isNull() ){
-              nlit = ( n.getKind()==GEQ && res==1 ) ? d_true : d_false;
-            }else{
-              Assert( iso_n[res==1 ? 0 : 1]==d_vts_delta );
-              if( n.getKind()==EQUAL ){
-                nlit = d_false;
-              }else if( res==1 ){
-                nlit = NodeManager::currentNM()->mkNode( GEQ, d_zero, slv );
-              }else{
-                nlit = NodeManager::currentNM()->mkNode( GT, slv, d_zero );
-              }
-            }
-          }
-          Trace("quant-vts-debug") << "Return " << nlit << std::endl;
-          return nlit;
-        }else{
-          Trace("quant-vts-warn") << "Bad vts literal : " << n << ", contains " << vts_sym << " but could not isolate." << std::endl;
-          //safe case: just convert to free symbols
-          nlit = substituteVtsFreeTerms( n );
-          Trace("quant-vts-debug") << "...return " << nlit << std::endl;
-          //Assert( false );
-          return nlit;
-        }
-      }
-    }
-    return n;
-  }else if( n.getKind()==FORALL ){
-    //cannot traverse beneath quantifiers
-    return substituteVtsFreeTerms( n );
-  }else{
-    bool childChanged = false;
-    std::vector< Node > children;
-    for( unsigned i=0; i<n.getNumChildren(); i++ ){
-      Node nn = rewriteVtsSymbols( n[i] );
-      children.push_back( nn );
-      childChanged = childChanged || nn!=n[i];
-    }
-    if( childChanged ){
-      if( n.getMetaKind() == kind::metakind::PARAMETERIZED ){
-        children.insert( children.begin(), n.getOperator() );
-      }
-      Node ret = NodeManager::currentNM()->mkNode( n.getKind(), children );
-      Trace("quant-vts-debug") << "...make node " << ret << std::endl;
-      return ret;
-    }else{
-      return n;
-    }
-  }
-}
-
-bool TermDb::containsVtsTerm( Node n, bool isFree ) {
-  std::vector< Node > t;
-  getVtsTerms( t, isFree, false );
-  return containsTerms( n, t );
-}
-
-bool TermDb::containsVtsTerm( std::vector< Node >& n, bool isFree ) {
-  std::vector< Node > t;
-  getVtsTerms( t, isFree, false );
-  if( !t.empty() ){
-    for( unsigned i=0; i<n.size(); i++ ){
-      if( containsTerms( n[i], t ) ){
-        return true;
-      }
-    }
-  }
-  return false;
-}
-
-bool TermDb::containsVtsInfinity( Node n, bool isFree ) {
-  std::vector< Node > t;
-  getVtsTerms( t, isFree, false, false );
-  return containsTerms( n, t );
-}
-
-Node TermDb::ensureType( Node n, TypeNode tn ) {
-  TypeNode ntn = n.getType();
-  Assert( ntn.isComparableTo( tn ) );
-  if( ntn.isSubtypeOf( tn ) ){
-    return n;
-  }else{
-    if( tn.isInteger() ){
-      return NodeManager::currentNM()->mkNode( TO_INTEGER, n );
-    }
-    return Node::null();
-  }
-}
-
-void TermDb::getRelevancyCondition( Node n, std::vector< Node >& cond ) {
-  if( n.getKind()==APPLY_SELECTOR_TOTAL ){
-    // don't worry about relevancy conditions if using shared selectors
-    if( !options::dtSharedSelectors() ){
-      unsigned scindex = Datatype::cindexOf(n.getOperator().toExpr());
-      const Datatype& dt = ((DatatypeType)(n[0].getType()).toType()).getDatatype();
-      Node rc = NodeManager::currentNM()->mkNode( APPLY_TESTER, Node::fromExpr( dt[scindex].getTester() ), n[0] ).negate();
-      if( std::find( cond.begin(), cond.end(), rc )==cond.end() ){
-        cond.push_back( rc );
-      }
-      getRelevancyCondition( n[0], cond );
-    }
-  }
-}
-
-bool TermDb::containsTerm2( Node n, Node t, std::map< Node, bool >& visited ) {
-  if( n==t ){
-    return true;
-  }else{
-    if( visited.find( n )==visited.end() ){
-      visited[n] = true;
-      for( unsigned i=0; i<n.getNumChildren(); i++ ){
-        if( containsTerm2( n[i], t, visited ) ){
-          return true;
-        }
-      }
-    }
-    return false;
-  }
-}
-
-bool TermDb::containsTerms2( Node n, std::vector< Node >& t, std::map< Node, bool >& visited ) {
-  if( visited.find( n )==visited.end() ){
-    if( std::find( t.begin(), t.end(), n )!=t.end() ){
-      return true;
-    }else{
-      visited[n] = true;
-      for( unsigned i=0; i<n.getNumChildren(); i++ ){
-        if( containsTerms2( n[i], t, visited ) ){
-          return true;
-        }
-      }
-    }
-  }
-  return false;
-}
-
-bool TermDb::containsTerm( Node n, Node t ) {
-  std::map< Node, bool > visited;
-  return containsTerm2( n, t, visited );
-}
-
-bool TermDb::containsTerms( Node n, std::vector< Node >& t ) {
-  if( t.empty() ){
-    return false;
-  }else{
-    std::map< Node, bool > visited;
-    return containsTerms2( n, t, visited );
-  }
-}
-
-int TermDb::getTermDepth( Node n ) {
-  if (!n.hasAttribute(TermDepthAttribute()) ){
-    int maxDepth = -1;
-    for( unsigned i=0; i<n.getNumChildren(); i++ ){
-      int depth = getTermDepth( n[i] );
-      if( depth>maxDepth ){
-        maxDepth = depth;
-      }
-    }
-    TermDepthAttribute tda;
-    n.setAttribute(tda,1+maxDepth);
-  }
-  return n.getAttribute(TermDepthAttribute());
-}
-
-bool TermDb::containsUninterpretedConstant( Node n ) {
-  if (!n.hasAttribute(ContainsUConstAttribute()) ){
-    bool ret = false;
-    if( n.getKind()==UNINTERPRETED_CONSTANT ){
-      ret = true;
-    }else{ 
-      for( unsigned i=0; i<n.getNumChildren(); i++ ){
-        if( containsUninterpretedConstant( n[i] ) ){
-          ret = true;
-          break;
-        }
-      }
-    }
-    ContainsUConstAttribute cuca;
-    n.setAttribute(cuca, ret ? 1 : 0);
-  }
-  return n.getAttribute(ContainsUConstAttribute())!=0;
-}
-
-Node TermDb::simpleNegate( Node n ){
-  if( n.getKind()==OR || n.getKind()==AND ){
-    std::vector< Node > children;
-    for( unsigned i=0; i<n.getNumChildren(); i++ ){
-      children.push_back( simpleNegate( n[i] ) );
-    }
-    return NodeManager::currentNM()->mkNode( n.getKind()==OR ? AND : OR, children );
-  }else{
-    return n.negate();
-  }
-}
-
-bool TermDb::isAssoc( Kind k ) {
-  return k==PLUS || k==MULT || k==AND || k==OR || 
-         k==BITVECTOR_PLUS || k==BITVECTOR_MULT || k==BITVECTOR_AND || k==BITVECTOR_OR || k==BITVECTOR_XOR || k==BITVECTOR_XNOR || k==BITVECTOR_CONCAT ||
-         k==STRING_CONCAT;
-}
-
-bool TermDb::isComm( Kind k ) {
-  return k==EQUAL || k==PLUS || k==MULT || k==AND || k==OR || k==XOR || 
-         k==BITVECTOR_PLUS || k==BITVECTOR_MULT || k==BITVECTOR_AND || k==BITVECTOR_OR || k==BITVECTOR_XOR || k==BITVECTOR_XNOR;
-}
-
-bool TermDb::isNonAdditive( Kind k ) {
-  return k==AND || k==OR || k==BITVECTOR_AND || k==BITVECTOR_OR;
-}
-
-bool TermDb::isBoolConnective( Kind k ) {
-  return k==OR || k==AND || k==EQUAL || k==ITE || k==FORALL || k==NOT || k==SEP_STAR;
-}
-
-bool TermDb::isBoolConnectiveTerm( TNode n ) {
-  return isBoolConnective( n.getKind() ) &&
-         ( n.getKind()!=EQUAL || n[0].getType().isBoolean() ) && 
-         ( n.getKind()!=ITE || n.getType().isBoolean() );
-}
-
-void TermDb::registerTrigger( theory::inst::Trigger* tr, Node op ){
-  if( std::find( d_op_triggers[op].begin(), d_op_triggers[op].end(), tr )==d_op_triggers[op].end() ){
-    d_op_triggers[op].push_back( tr );
-  }
-}
-
-Node TermDb::getHoTypeMatchPredicate( TypeNode tn ) {
-  std::map< TypeNode, Node >::iterator ithp = d_ho_type_match_pred.find( tn );
-  if( ithp==d_ho_type_match_pred.end() ){
-    TypeNode ptn = NodeManager::currentNM()->mkFunctionType( tn, NodeManager::currentNM()->booleanType() );
-    Node k = NodeManager::currentNM()->mkSkolem( "U", ptn, "predicate to force higher-order types" );
-    d_ho_type_match_pred[tn] = k;
-    return k;
-  }else{
-    return ithp->second;  
-  }
-}
-
-bool TermDb::isInductionTerm( Node n ) {
-  TypeNode tn = n.getType();
-  if( options::dtStcInduction() && tn.isDatatype() ){
-    const Datatype& dt = ((DatatypeType)(tn).toType()).getDatatype();
-    return !dt.isCodatatype();
-  }
-  if( options::intWfInduction() && n.getType().isInteger() ){
-    return true;
-  }
-  return false;
-}
-
-bool TermDb::isRewriteRule( Node q ) {
-  return !getRewriteRule( q ).isNull();
-}
-
-Node TermDb::getRewriteRule( Node q ) {
-  if( q.getKind()==FORALL && q.getNumChildren()==3 && q[2].getNumChildren()>0 && q[2][0][0].getKind()==REWRITE_RULE ){
-    return q[2][0][0];
-  }else{
-    return Node::null();
-  }
-}
-
-bool TermDb::isFunDef( Node q ) {
-  return !getFunDefHead( q ).isNull();
-}
-
-bool TermDb::isFunDefAnnotation( Node ipl ) {
-  if( !ipl.isNull() ){
-    for( unsigned i=0; i<ipl.getNumChildren(); i++ ){
-      if( ipl[i].getKind()==INST_ATTRIBUTE ){
-        if( ipl[i][0].getAttribute(FunDefAttribute()) ){
-          return true;
-        }
-      }
-    }
-  }
-  return false;
-}
-
-Node TermDb::getFunDefHead( Node q ) {
-  //&& q[1].getKind()==EQUAL && q[1][0].getKind()==APPLY_UF &&
-  if( q.getKind()==FORALL && q.getNumChildren()==3 ){
-
-    for( unsigned i=0; i<q[2].getNumChildren(); i++ ){
-      if( q[2][i].getKind()==INST_ATTRIBUTE ){
-        if( q[2][i][0].getAttribute(FunDefAttribute()) ){
-          return q[2][i][0];
-        }
-      }
-    }
-  }
-  return Node::null();
-}
-Node TermDb::getFunDefBody( Node q ) {
-  Node h = getFunDefHead( q );
-  if( !h.isNull() ){
-    if( q[1].getKind()==EQUAL ){
-      if( q[1][0]==h ){
-        return q[1][1];
-      }else if( q[1][1]==h ){
-        return q[1][0];
-      }
-    }else{
-      Node atom = q[1].getKind()==NOT ? q[1][0] : q[1];
-      bool pol = q[1].getKind()!=NOT;
-      if( atom==h ){
-        return NodeManager::currentNM()->mkConst( pol );
-      }
-    }
-  }
-  return Node::null();
-}
-
-bool TermDb::isSygusConjecture( Node q ) {
-  return ( q.getKind()==FORALL && q.getNumChildren()==3 ) ? isSygusConjectureAnnotation( q[2] ) : false;
-}
-
-bool TermDb::isSygusConjectureAnnotation( Node ipl ){
-  if( !ipl.isNull() ){
-    for( unsigned i=0; i<ipl.getNumChildren(); i++ ){
-      if( ipl[i].getKind()==INST_ATTRIBUTE ){
-        Node avar = ipl[i][0];
-        if( avar.getAttribute(SygusAttribute()) ){
-          return true;
-        }
-      }
-    }
-  }
-  return false;
-}
-
-bool TermDb::isQuantElimAnnotation( Node ipl ) {
-  if( !ipl.isNull() ){
-    for( unsigned i=0; i<ipl.getNumChildren(); i++ ){
-      if( ipl[i].getKind()==INST_ATTRIBUTE ){
-        Node avar = ipl[i][0];
-        if( avar.getAttribute(QuantElimAttribute()) ){
-          return true;
-        }
-      }
-    }
-  }
-  return false;
-}
-
-void TermDb::computeAttributes( Node q ) {
-  computeQuantAttributes( q, d_qattr[q] );
-  if( !d_qattr[q].d_rr.isNull() ){
-    if( d_quantEngine->getRewriteEngine()==NULL ){
-      Trace("quant-warn") << "WARNING : rewrite engine is null, and we have : " << q << std::endl;
-    }
-    //set rewrite engine as owner
-    d_quantEngine->setOwner( q, d_quantEngine->getRewriteEngine(), 2 );
-  }
-  if( d_qattr[q].isFunDef() ){
-    Node f = d_qattr[q].d_fundef_f;
-    if( d_fun_defs.find( f )!=d_fun_defs.end() ){
-      Message() << "Cannot define function " << f << " more than once." << std::endl;
-      exit( 1 );
-    }
-    d_fun_defs[f] = true;
-    d_quantEngine->setOwner( q, d_quantEngine->getFunDefEngine(), 2 );
-  }
-  if( d_qattr[q].d_sygus ){
-    if( d_quantEngine->getCegInstantiation()==NULL ){
-      Trace("quant-warn") << "WARNING : ceg instantiation is null, and we have : " << q << std::endl;
-    }
-    d_quantEngine->setOwner( q, d_quantEngine->getCegInstantiation(), 2 );
-  }
-  if( d_qattr[q].d_synthesis ){
-    if( d_quantEngine->getCegInstantiation()==NULL ){
-      Trace("quant-warn") << "WARNING : ceg instantiation is null, and we have : " << q << std::endl;
-    }
-    d_quantEngine->setOwner( q, d_quantEngine->getCegInstantiation(), 2 );
-  }
-}
-
-void TermDb::computeQuantAttributes( Node q, QAttributes& qa ){
-  Trace("quant-attr-debug") << "Compute attributes for " << q << std::endl;
-  if( q.getNumChildren()==3 ){
-    qa.d_ipl = q[2];
-    for( unsigned i=0; i<q[2].getNumChildren(); i++ ){
-      Trace("quant-attr-debug") << "Check : " << q[2][i] << " " << q[2][i].getKind() << std::endl;
-      if( q[2][i].getKind()==INST_PATTERN || q[2][i].getKind()==INST_NO_PATTERN ){
-        qa.d_hasPattern = true;
-      }else if( q[2][i].getKind()==INST_ATTRIBUTE ){
-        Node avar = q[2][i][0];
-        if( avar.getAttribute(AxiomAttribute()) ){
-          Trace("quant-attr") << "Attribute : axiom : " << q << std::endl;
-          qa.d_axiom = true;
-        }
-        if( avar.getAttribute(ConjectureAttribute()) ){
-          Trace("quant-attr") << "Attribute : conjecture : " << q << std::endl;
-          qa.d_conjecture = true;
-        }
-        if( avar.getAttribute(FunDefAttribute()) ){
-          Trace("quant-attr") << "Attribute : function definition : " << q << std::endl;
-          //get operator directly from pattern
-          qa.d_fundef_f = q[2][i][0].getOperator();
-        }
-        if( avar.getAttribute(SygusAttribute()) ){
-          //not necessarily nested existential
-          //Assert( q[1].getKind()==NOT );
-          //Assert( q[1][0].getKind()==FORALL );
-          Trace("quant-attr") << "Attribute : sygus : " << q << std::endl;
-          qa.d_sygus = true;
-        }
-        if( avar.getAttribute(SynthesisAttribute()) ){
-          Trace("quant-attr") << "Attribute : synthesis : " << q << std::endl;
-          qa.d_synthesis = true;
-        }
-        if( avar.hasAttribute(QuantInstLevelAttribute()) ){
-          qa.d_qinstLevel = avar.getAttribute(QuantInstLevelAttribute());
-          Trace("quant-attr") << "Attribute : quant inst level " << qa.d_qinstLevel << " : " << q << std::endl;
-        }
-        if( avar.hasAttribute(RrPriorityAttribute()) ){
-          qa.d_rr_priority = avar.getAttribute(RrPriorityAttribute());
-          Trace("quant-attr") << "Attribute : rr priority " << qa.d_rr_priority << " : " << q << std::endl;
-        }
-        if( avar.getAttribute(QuantElimAttribute()) ){
-          Trace("quant-attr") << "Attribute : quantifier elimination : " << q << std::endl;
-          qa.d_quant_elim = true;
-          //don't set owner, should happen naturally
-        }
-        if( avar.getAttribute(QuantElimPartialAttribute()) ){
-          Trace("quant-attr") << "Attribute : quantifier elimination partial : " << q << std::endl;
-          qa.d_quant_elim = true;
-          qa.d_quant_elim_partial = true;
-          //don't set owner, should happen naturally
-        }
-        if( avar.hasAttribute(QuantIdNumAttribute()) ){
-          qa.d_qid_num = avar;
-          Trace("quant-attr") << "Attribute : id number " << qa.d_qid_num.getAttribute(QuantIdNumAttribute()) << " : " << q << std::endl;
-        }
-        if( avar.getKind()==REWRITE_RULE ){
-          Trace("quant-attr") << "Attribute : rewrite rule : " << q << std::endl;
-          Assert( i==0 );
-          qa.d_rr = avar;
-        }
-      }
-    }
-  }
-}
-
-bool TermDb::isQAttrConjecture( Node q ) {
-  std::map< Node, QAttributes >::iterator it = d_qattr.find( q );
-  if( it==d_qattr.end() ){
-    return false;
-  }else{
-    return it->second.d_conjecture;
-  }
-}
-
-bool TermDb::isQAttrAxiom( Node q ) {
-  std::map< Node, QAttributes >::iterator it = d_qattr.find( q );
-  if( it==d_qattr.end() ){
-    return false;
-  }else{
-    return it->second.d_axiom;
-  }
-}
-
-bool TermDb::isQAttrFunDef( Node q ) {
-  std::map< Node, QAttributes >::iterator it = d_qattr.find( q );
-  if( it==d_qattr.end() ){
-    return false;
-  }else{
-    return it->second.isFunDef();
-  }
-}
-
-bool TermDb::isQAttrSygus( Node q ) {
-  std::map< Node, QAttributes >::iterator it = d_qattr.find( q );
-  if( it==d_qattr.end() ){
-    return false;
-  }else{
-    return it->second.d_sygus;
-  }
-}
-
-bool TermDb::isQAttrSynthesis( Node q ) {
-  std::map< Node, QAttributes >::iterator it = d_qattr.find( q );
-  if( it==d_qattr.end() ){
-    return false;
-  }else{
-    return it->second.d_synthesis;
-  }
-}
-
-int TermDb::getQAttrQuantInstLevel( Node q ) {
-  std::map< Node, QAttributes >::iterator it = d_qattr.find( q );
-  if( it==d_qattr.end() ){
-    return -1;
-  }else{
-    return it->second.d_qinstLevel;
-  }
-}
-
-int TermDb::getQAttrRewriteRulePriority( Node q ) {
-  std::map< Node, QAttributes >::iterator it = d_qattr.find( q );
-  if( it==d_qattr.end() ){
-    return -1;
-  }else{
-    return it->second.d_rr_priority;
-  }
-}
-
-bool TermDb::isQAttrQuantElim( Node q ) {
-  std::map< Node, QAttributes >::iterator it = d_qattr.find( q );
-  if( it==d_qattr.end() ){
-    return false;
-  }else{
-    return it->second.d_quant_elim;
-  }
-}
-
-bool TermDb::isQAttrQuantElimPartial( Node q ) {
-  std::map< Node, QAttributes >::iterator it = d_qattr.find( q );
-  if( it==d_qattr.end() ){
-    return false;
-  }else{
-    return it->second.d_quant_elim_partial;
-  }
-}
-
-int TermDb::getQAttrQuantIdNum( Node q ) {
-  std::map< Node, QAttributes >::iterator it = d_qattr.find( q );
-  if( it!=d_qattr.end() ){
-    if( !it->second.d_qid_num.isNull() ){
-      return it->second.d_qid_num.getAttribute(QuantIdNumAttribute());
-    }
-  }
-  return -1;
-}
-
-Node TermDb::getQAttrQuantIdNumNode( Node q ) {
-  std::map< Node, QAttributes >::iterator it = d_qattr.find( q );
-  if( it==d_qattr.end() ){
-    return Node::null();
-  }else{
-    return it->second.d_qid_num;
-  }
-}
-
 }/* CVC4::theory::quantifiers namespace */
 }/* CVC4::theory namespace */
 }/* CVC4 namespace */
diff --git a/src/theory/quantifiers/term_database.h b/src/theory/quantifiers/term_database.h
index 852d94fde..f4c6c3877 100644
--- a/src/theory/quantifiers/term_database.h
+++ b/src/theory/quantifiers/term_database.h
@@ -25,109 +25,9 @@
 #include "theory/type_enumerator.h"
 #include "theory/quantifiers/quant_util.h"
 
-
 namespace CVC4 {
 namespace theory {
 
-/** Attribute true for quantifiers that are axioms */
-struct AxiomAttributeId {};
-typedef expr::Attribute< AxiomAttributeId, bool > AxiomAttribute;
-
-/** Attribute true for quantifiers that are conjecture */
-struct ConjectureAttributeId {};
-typedef expr::Attribute< ConjectureAttributeId, bool > ConjectureAttribute;
-
-/** Attribute true for function definition quantifiers */
-struct FunDefAttributeId {};
-typedef expr::Attribute< FunDefAttributeId, bool > FunDefAttribute;
-
-/** Attribute true for quantifiers that are SyGus conjectures */
-struct SygusAttributeId {};
-typedef expr::Attribute< SygusAttributeId, bool > SygusAttribute;
-
-/** Attribute true for quantifiers that are synthesis conjectures */
-struct SynthesisAttributeId {};
-typedef expr::Attribute< SynthesisAttributeId, bool > SynthesisAttribute;
-
-// attribute for "contains instantiation constants from"
-struct InstConstantAttributeId {};
-typedef expr::Attribute<InstConstantAttributeId, Node> InstConstantAttribute;
-
-struct BoundVarAttributeId {};
-typedef expr::Attribute<BoundVarAttributeId, Node> BoundVarAttribute;
-
-struct InstLevelAttributeId {};
-typedef expr::Attribute<InstLevelAttributeId, uint64_t> InstLevelAttribute;
-
-struct InstVarNumAttributeId {};
-typedef expr::Attribute<InstVarNumAttributeId, uint64_t> InstVarNumAttribute;
-
-struct TermDepthAttributeId {};
-typedef expr::Attribute<TermDepthAttributeId, uint64_t> TermDepthAttribute;
-
-struct ContainsUConstAttributeId {};
-typedef expr::Attribute<ContainsUConstAttributeId, uint64_t> ContainsUConstAttribute;
-
-struct ModelBasisAttributeId {};
-typedef expr::Attribute<ModelBasisAttributeId, bool> ModelBasisAttribute;
-//for APPLY_UF terms, 1 : term has direct child with model basis attribute,
-//                    0 : term has no direct child with model basis attribute.
-struct ModelBasisArgAttributeId {};
-typedef expr::Attribute<ModelBasisArgAttributeId, uint64_t> ModelBasisArgAttribute;
-
-//for bounded integers
-struct BoundIntLitAttributeId {};
-typedef expr::Attribute<BoundIntLitAttributeId, uint64_t> BoundIntLitAttribute;
-
-//for quantifier instantiation level
-struct QuantInstLevelAttributeId {};
-typedef expr::Attribute<QuantInstLevelAttributeId, uint64_t> QuantInstLevelAttribute;
-
-//rewrite-rule priority
-struct RrPriorityAttributeId {};
-typedef expr::Attribute<RrPriorityAttributeId, uint64_t> RrPriorityAttribute;
-
-/** Attribute true for quantifiers that do not need to be partially instantiated */
-struct LtePartialInstAttributeId {};
-typedef expr::Attribute< LtePartialInstAttributeId, bool > LtePartialInstAttribute;
-
-// attribute for "contains instantiation constants from"
-struct SygusProxyAttributeId {};
-typedef expr::Attribute<SygusProxyAttributeId, Node> SygusProxyAttribute;
-
-// attribute for associating a synthesis function with a first order variable
-struct SygusSynthFunAttributeId {};
-typedef expr::Attribute<SygusSynthFunAttributeId, Node> SygusSynthFunAttribute;
-
-// attribute for associating a variable list with a synth fun
-struct SygusSynthFunVarListAttributeId {};
-typedef expr::Attribute<SygusSynthFunVarListAttributeId, Node> SygusSynthFunVarListAttribute;
-
-//attribute for fun-def abstraction type
-struct AbsTypeFunDefAttributeId {};
-typedef expr::Attribute<AbsTypeFunDefAttributeId, bool> AbsTypeFunDefAttribute;
-
-/** Attribute true for quantifiers that we are doing quantifier elimination on */
-struct QuantElimAttributeId {};
-typedef expr::Attribute< QuantElimAttributeId, bool > QuantElimAttribute;
-
-/** Attribute true for quantifiers that we are doing partial quantifier elimination on */
-struct QuantElimPartialAttributeId {};
-typedef expr::Attribute< QuantElimPartialAttributeId, bool > QuantElimPartialAttribute;
-
-/** Attribute for id number */
-struct QuantIdNumAttributeId {};
-typedef expr::Attribute< QuantIdNumAttributeId, uint64_t > QuantIdNumAttribute;
-
-/** sygus var num */
-struct SygusVarNumAttributeId {};
-typedef expr::Attribute<SygusVarNumAttributeId, uint64_t> SygusVarNumAttribute;
-
-/** Attribute to mark Skolems as virtual terms */
-struct VirtualTermSkolemAttributeId {};
-typedef expr::Attribute< VirtualTermSkolemAttributeId, bool > VirtualTermSkolemAttribute;
-
-
 class QuantifiersEngine;
 
 namespace inst{
@@ -151,29 +51,6 @@ public:
   void clear() { d_data.clear(); }
 };/* class TermArgTrie */
 
-
-class QAttributes{
-public:
-  QAttributes() : d_hasPattern(false), d_conjecture(false), d_axiom(false), d_sygus(false),
-                  d_synthesis(false), d_rr_priority(-1), d_qinstLevel(-1), d_quant_elim(false), d_quant_elim_partial(false){}
-  ~QAttributes(){}
-  bool d_hasPattern;
-  Node d_rr;
-  bool d_conjecture;
-  bool d_axiom;
-  Node d_fundef_f;
-  bool d_sygus;
-  bool d_synthesis;
-  int d_rr_priority;
-  int d_qinstLevel;
-  bool d_quant_elim;
-  bool d_quant_elim_partial;
-  Node d_ipl;
-  Node d_qid_num;
-  bool isRewriteRule() { return !d_rr.isNull(); }
-  bool isFunDef() { return !d_fundef_f.isNull(); }
-};
-
 namespace fmcheck {
   class FullModelChecker;
 }
@@ -208,25 +85,23 @@ private:
   std::map< Node, std::map< TypeNode, Node > > d_par_op_map;
   /** whether master equality engine is UF-inconsistent */
   bool d_consistent_ee;
-
- public:
-  TermDb(context::Context* c, context::UserContext* u, QuantifiersEngine* qe);
-  ~TermDb();
   /** boolean terms */
   Node d_true;
   Node d_false;
-  /** constants */
-  Node d_zero;
-  Node d_one;
-
- public:
+public:
+  TermDb(context::Context* c, context::UserContext* u, QuantifiersEngine* qe);
+  ~TermDb();
+  
+  /** register quantified formula */
+  void registerQuantifier( Node q );
+public:
   /** presolve (called once per user check-sat) */
   void presolve();
   /** reset (calculate which terms are active) */
   bool reset( Theory::Effort effort );
   /** identify */
   std::string identify() const { return "TermDb"; }  
- private:
+private:
   /** map from operators to ground terms for that operator */
   std::map< Node, std::vector< Node > > d_op_map;
   /** map from type nodes to terms of that type */
@@ -330,275 +205,7 @@ public:
   Node getModelBasis( Node q, Node n );
   //get model basis body
   Node getModelBasisBody( Node q );
-
-//for inst constant
-private:
-  /** map from universal quantifiers to the list of variables */
-  std::map< Node, std::vector< Node > > d_vars;
-  std::map< Node, std::map< Node, unsigned > > d_var_num;
-  /** map from universal quantifiers to their inst constant body */
-  std::map< Node, Node > d_inst_const_body;
-  /** map from universal quantifiers to their counterexample literals */
-  std::map< Node, Node > d_ce_lit;
-  /** instantiation constants to universal quantifiers */
-  std::map< Node, Node > d_inst_constants_map;
-  /** make instantiation constants for */
-  void makeInstantiationConstantsFor( Node q );
-public:
-  /** map from universal quantifiers to the list of instantiation constants */
-  std::map< Node, std::vector< Node > > d_inst_constants;
-  /** get variable number */
-  unsigned getVariableNum( Node q, Node v ) { return d_var_num[q][v]; }
-  /** get the i^th instantiation constant of q */
-  Node getInstantiationConstant( Node q, int i ) const;
-  /** get number of instantiation constants for q */
-  unsigned getNumInstantiationConstants( Node q ) const;
-  /** get the ce body q[e/x] */
-  Node getInstConstantBody( Node q );
-  /** get counterexample literal (for cbqi) */
-  Node getCounterexampleLiteral( Node q );
-  /** returns node n with bound vars of q replaced by instantiation constants of q
-      node n : is the future pattern
-      node q : is the quantifier containing which bind the variable
-      return a pattern where the variable are replaced by variable for
-      instantiation.
-   */
-  Node getInstConstantNode( Node n, Node q );
-  Node getVariableNode( Node n, Node q );
-  /** get substituted node */
-  Node getInstantiatedNode( Node n, Node q, std::vector< Node >& terms );
-
-  static Node getInstConstAttr( Node n );
-  static bool hasInstConstAttr( Node n );
-  static Node getBoundVarAttr( Node n );
-  static bool hasBoundVarAttr( Node n );
   
-private:
-  /** get bound vars */
-  static void getBoundVars2( Node n, std::vector< Node >& vars, std::map< Node, bool >& visited );
-  /** get bound vars */
-  static Node getRemoveQuantifiers2( Node n, std::map< Node, Node >& visited );
-public:
-  //get the bound variables in this node
-  static void getBoundVars( Node n, std::vector< Node >& vars );
-  //remove quantifiers
-  static Node getRemoveQuantifiers( Node n );
-  //quantified simplify (treat free variables in n as quantified and run rewriter)
-  static Node getQuantSimplify( Node n );
-
-//for skolem
-private:
-  /** map from universal quantifiers to their skolemized body */
-  std::map< Node, Node > d_skolem_body;
-public:
-  /** map from universal quantifiers to the list of skolem constants */
-  std::map< Node, std::vector< Node > > d_skolem_constants;
-  /** make the skolemized body f[e/x] */
-  static Node mkSkolemizedBody( Node f, Node n, std::vector< TypeNode >& fvTypes, std::vector< TNode >& fvs,
-                                std::vector< Node >& sk, Node& sub, std::vector< unsigned >& sub_vars );
-  /** get the skolemized body */
-  Node getSkolemizedBody( Node f);
-  /** is induction variable */
-  static bool isInductionTerm( Node n );
-
-//for ground term enumeration
-private:
-  /** ground terms enumerated for types */
-  std::map< TypeNode, std::vector< Node > > d_enum_terms;
-  //type enumerators
-  std::map< TypeNode, unsigned > d_typ_enum_map;
-  std::vector< TypeEnumerator > d_typ_enum;
-  // closed enumerable type cache
-  std::map< TypeNode, bool > d_typ_closed_enum;
-  /** may complete */
-  std::map< TypeNode, bool > d_may_complete;
-public:
-  //get nth term for type
-  Node getEnumerateTerm( TypeNode tn, unsigned index );
-  //does this type have an enumerator that produces constants that are handled by ground theory solvers
-  bool isClosedEnumerableType( TypeNode tn );
-  // may complete
-  bool mayComplete( TypeNode tn );
-
-//for triggers
-private:
-  /** helper function for compute var contains */
-  static void computeVarContains2( Node n, Kind k, std::vector< Node >& varContains, std::map< Node, bool >& visited );
-  /** triggers for each operator */
-  std::map< Node, std::vector< inst::Trigger* > > d_op_triggers;
-  /** helper for is instance of */
-  static bool isUnifiableInstanceOf( Node n1, Node n2, std::map< Node, Node >& subs );
-  /** -1: n1 is an instance of n2, 1: n1 is an instance of n2 */
-  static int isInstanceOf2( Node n1, Node n2, std::vector< Node >& varContains1, std::vector< Node >& varContains2 );
-public:
-  /** compute var contains */
-  static void computeVarContains( Node n, std::vector< Node >& varContains );
-  /** get var contains for each of the patterns in pats */
-  static void getVarContains( Node f, std::vector< Node >& pats, std::map< Node, std::vector< Node > >& varContains );
-  /** get var contains for node n */
-  static void getVarContainsNode( Node f, Node n, std::vector< Node >& varContains );
-  /** compute quant contains */
-  static void computeQuantContains( Node n, std::vector< Node >& quantContains );
-  /** -1: n1 is an instance of n2, 1: n1 is an instance of n2 */
-  static int isInstanceOf( Node n1, Node n2 );
-  /** filter all nodes that have instances */
-  static void filterInstances( std::vector< Node >& nodes );
-  /** register trigger (for eager quantifier instantiation) */
-  void registerTrigger( inst::Trigger* tr, Node op );
-
-//for term ordering
-private:
-  /** operator id count */
-  int d_op_id_count;
-  /** map from operators to id */
-  std::map< Node, int > d_op_id;
-  /** type id count */
-  int d_typ_id_count;
-  /** map from type to id */
-  std::map< TypeNode, int > d_typ_id;
-  //free variables
-  std::map< TypeNode, std::vector< Node > > d_cn_free_var;
-  // get canonical term, return null if it contains a term apart from handled signature
-  Node getCanonicalTerm( TNode n, std::map< TypeNode, unsigned >& var_count, std::map< TNode, TNode >& subs, bool apply_torder, 
-                         std::map< TNode, Node >& visited );
-public:
-  /** get id for operator */
-  int getIdForOperator( Node op );
-  /** get id for type */
-  int getIdForType( TypeNode t );
-  /** get term order */
-  bool getTermOrder( Node a, Node b );
-  /** get canonical free variable #i of type tn */
-  Node getCanonicalFreeVar( TypeNode tn, unsigned i );
-  /** get canonical term */
-  Node getCanonicalTerm( TNode n, bool apply_torder = false );
-
-//for virtual term substitution
-private:
-  Node d_vts_delta;
-  std::map< TypeNode, Node > d_vts_inf;
-  Node d_vts_delta_free;
-  std::map< TypeNode, Node > d_vts_inf_free;
-  /** get vts infinity index */
-  Node getVtsInfinityIndex( int i, bool isFree = false, bool create = true  );
-  /** substitute vts free terms */
-  Node substituteVtsFreeTerms( Node n );
-public:
-  /** get vts delta */
-  Node getVtsDelta( bool isFree = false, bool create = true );
-  /** get vts infinity */
-  Node getVtsInfinity( TypeNode tn, bool isFree = false, bool create = true );
-  /** get all vts terms */
-  void getVtsTerms( std::vector< Node >& t, bool isFree = false, bool create = true, bool inc_delta = true );
-  /** rewrite delta */
-  Node rewriteVtsSymbols( Node n );
-  /** simple check for contains term */
-  bool containsVtsTerm( Node n, bool isFree = false );
-  /** simple check for contains term */
-  bool containsVtsTerm( std::vector< Node >& n, bool isFree = false );
-  /** simple check for contains term */
-  bool containsVtsInfinity( Node n, bool isFree = false );
-  /** ensure type */
-  static Node ensureType( Node n, TypeNode tn );
-  /** get relevancy condition */
-  static void getRelevancyCondition( Node n, std::vector< Node >& cond );
-private:
-  //helper for contains term
-  static bool containsTerm2( Node n, Node t, std::map< Node, bool >& visited );
-  static bool containsTerms2( Node n, std::vector< Node >& t, std::map< Node, bool >& visited );
-//general utilities
-public:
-  /** simple check for whether n contains t as subterm */
-  static bool containsTerm( Node n, Node t );
-  /** simple check for contains term, true if contains at least one term in t */
-  static bool containsTerms( Node n, std::vector< Node >& t );
-  /** contains uninterpreted constant */
-  static bool containsUninterpretedConstant( Node n );
-  /** get the term depth of n */
-  static int getTermDepth( Node n );
-  /** simple negate */
-  static Node simpleNegate( Node n );
-  /** is assoc */
-  static bool isAssoc( Kind k );
-  /** is comm */
-  static bool isComm( Kind k );
-  /** ( x k ... ) k x = ( x k ... ) */
-  static bool isNonAdditive( Kind k );
-  /** is bool connective */
-  static bool isBoolConnective( Kind k );
-  /** is bool connective term */
-  static bool isBoolConnectiveTerm( TNode n );
-
-//for higher-order
-private:
-  /** dummy predicate that states terms should be considered first-class members of equality engine */
-  std::map< TypeNode, Node > d_ho_type_match_pred;
-public:
-  /** get higher-order type match predicate
-   * This predicate is used to force certain functions f of type tn to appear as first-class representatives in the
-   * quantifier-free UF solver. For a typical use case, we call getHoTypeMatchPredicate which returns a fresh 
-   * predicate P of type (tn -> Bool). Then, we add P( f ) as a lemma.  
-   * TODO: we may eliminate this depending on how github issue #1115 is resolved.
-   */
-  Node getHoTypeMatchPredicate( TypeNode tn );
-
-//for sygus
-private:
-  TermDbSygus * d_sygus_tdb;
-public:
-  TermDbSygus * getTermDatabaseSygus() { return d_sygus_tdb; }
-
-private:
-  std::map< Node, bool > d_fun_defs;
-public: //general queries concerning quantified formulas wrt modules
-  /** is quantifier treated as a rewrite rule? */
-  static bool isRewriteRule( Node q );
-  /** get the rewrite rule associated with the quanfied formula */
-  static Node getRewriteRule( Node q );
-  /** is fun def */
-  static bool isFunDef( Node q );
-  /** is fun def */
-  static bool isFunDefAnnotation( Node ipl );
-  /** is sygus conjecture */
-  static bool isSygusConjecture( Node q );
-  /** is sygus conjecture */
-  static bool isSygusConjectureAnnotation( Node ipl );
-  /** get fun def body */
-  static Node getFunDefHead( Node q );
-  /** get fun def body */
-  static Node getFunDefBody( Node q );
-  /** is quant elim annotation */
-  static bool isQuantElimAnnotation( Node ipl );
-//attributes
-private:
-  std::map< Node, QAttributes > d_qattr;
-  //record attributes
-  void computeAttributes( Node q );
-public:
-  /** is conjecture */
-  bool isQAttrConjecture( Node q );
-  /** is axiom */
-  bool isQAttrAxiom( Node q );
-  /** is function definition */
-  bool isQAttrFunDef( Node q );
-  /** is sygus conjecture */
-  bool isQAttrSygus( Node q );
-  /** is synthesis conjecture */
-  bool isQAttrSynthesis( Node q );
-  /** get instantiation level */
-  int getQAttrQuantInstLevel( Node q );
-  /** get rewrite rule priority */
-  int getQAttrRewriteRulePriority( Node q );
-  /** is quant elim */
-  bool isQAttrQuantElim( Node q );
-  /** is quant elim partial */
-  bool isQAttrQuantElimPartial( Node q );
-  /** get quant id num */
-  int getQAttrQuantIdNum( Node q );
-  /** get quant id num */
-  Node getQAttrQuantIdNumNode( Node q );
-  /** compute quantifier attributes */
-  static void computeQuantAttributes( Node q, QAttributes& qa );
 };/* class TermDb */
 
 }/* CVC4::theory::quantifiers namespace */
diff --git a/src/theory/quantifiers/term_database_sygus.cpp b/src/theory/quantifiers/term_database_sygus.cpp
index 61bb20987..f5c04fced 100644
--- a/src/theory/quantifiers/term_database_sygus.cpp
+++ b/src/theory/quantifiers/term_database_sygus.cpp
@@ -19,12 +19,9 @@
 #include "options/datatypes_options.h"
 #include "options/quantifiers_options.h"
 #include "smt/smt_engine.h"
-#include "theory/quantifiers/ce_guided_instantiation.h"
-#include "theory/quantifiers/first_order_model.h"
-#include "theory/quantifiers/fun_def_engine.h"
-#include "theory/quantifiers/rewrite_engine.h"
 #include "theory/quantifiers/theory_quantifiers.h"
-#include "theory/quantifiers/trigger.h"
+#include "theory/quantifiers/term_database.h"
+#include "theory/quantifiers/term_util.h"
 #include "theory/quantifiers_engine.h"
 #include "theory/theory_engine.h"
 
@@ -152,7 +149,7 @@ bool TermDbSygus::getMatch2( Node p, Node n, std::map< int, Node >& s, std::vect
     return p==n;
   }else if( n.getKind()==p.getKind() && n.getNumChildren()==p.getNumChildren() ){
     //try both ways?
-    unsigned rmax = TermDb::isComm( n.getKind() ) && n.getNumChildren()==2 ? 2 : 1;
+    unsigned rmax = TermUtil::isComm( n.getKind() ) && n.getNumChildren()==2 ? 2 : 1;
     std::vector< int > new_tmp;
     for( unsigned r=0; r<rmax; r++ ){
       bool success = true;
@@ -724,7 +721,7 @@ bool TermDbSygus::considerArgKind( TypeNode tn, TypeNode tnp, Kind k, Kind pk, i
   int pc = getKindConsNum( tnp, pk );
   if( k==pk ){
     //check for associativity
-    if( quantifiers::TermDb::isAssoc( k ) ){
+    if( quantifiers::TermUtil::isAssoc( k ) ){
       //if the operator is associative, then a repeated occurrence should only occur in the leftmost argument position
       int firstArg = getFirstArgOccurrence( pdt[pc], tn );
       Assert( firstArg!=-1 );
@@ -2011,7 +2008,7 @@ void TermDbSygus::registerModelValue( Node a, Node v, std::vector< Node >& terms
         Assert( dt.isSygus() );
         Trace("sygus-eager") << "TermDbSygus::eager: Register model value : " << vn << " for " << n << std::endl;
         Trace("sygus-eager") << "...it has " << it->second.size() << " evaluations, already processed " << start << "." << std::endl;
-        Node bTerm = d_quantEngine->getTermDatabaseSygus()->sygusToBuiltin( vn, tn );
+        Node bTerm = sygusToBuiltin( vn, tn );
         Trace("sygus-eager") << "Built-in term : " << bTerm << std::endl;
         std::vector< Node > vars;
         Node var_list = Node::fromExpr( dt.getSygusVarList() );
diff --git a/src/theory/quantifiers/term_util.cpp b/src/theory/quantifiers/term_util.cpp
new file mode 100644
index 000000000..346745b1d
--- /dev/null
+++ b/src/theory/quantifiers/term_util.cpp
@@ -0,0 +1,1189 @@
+/*********************                                                        */
+/*! \file term_util.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 term utilities class
+ **/
+
+#include "theory/quantifiers/term_util.h"
+
+#include "expr/datatype.h"
+#include "options/base_options.h"
+#include "options/quantifiers_options.h"
+#include "options/datatypes_options.h"
+#include "options/uf_options.h"
+#include "theory/theory_engine.h"
+#include "theory/quantifiers_engine.h"
+#include "theory/quantifiers/term_database.h"
+
+using namespace std;
+using namespace CVC4::kind;
+using namespace CVC4::context;
+using namespace CVC4::theory::inst;
+
+namespace CVC4 {
+namespace theory {
+namespace quantifiers {
+
+TermUtil::TermUtil(QuantifiersEngine * qe) :
+d_quantEngine(qe),
+d_op_id_count(0),
+d_typ_id_count(0){
+  d_true = NodeManager::currentNM()->mkConst(true);
+  d_false = NodeManager::currentNM()->mkConst(false);
+  d_zero = NodeManager::currentNM()->mkConst(Rational(0));
+  d_one = NodeManager::currentNM()->mkConst(Rational(1));
+}
+
+TermUtil::~TermUtil(){
+
+}
+
+void TermUtil::registerQuantifier( Node q ){
+  if( d_inst_constants.find( q )==d_inst_constants.end() ){
+    Debug("quantifiers-engine") << "Instantiation constants for " << q << " : " << std::endl;
+    for( unsigned i=0; i<q[0].getNumChildren(); i++ ){
+      d_vars[q].push_back( q[0][i] );
+      d_var_num[q][q[0][i]] = i;
+      //make instantiation constants
+      Node ic = NodeManager::currentNM()->mkInstConstant( q[0][i].getType() );
+      d_inst_constants_map[ic] = q;
+      d_inst_constants[ q ].push_back( ic );
+      Debug("quantifiers-engine") << "  " << ic << std::endl;
+      //set the var number attribute
+      InstVarNumAttribute ivna;
+      ic.setAttribute( ivna, i );
+      InstConstantAttribute ica;
+      ic.setAttribute( ica, q );
+    }
+  }
+}
+
+void TermUtil::getBoundVars2( Node n, std::vector< Node >& vars, std::map< Node, bool >& visited ) {
+  if( visited.find( n )==visited.end() ){
+    visited[n] = true;
+    if( n.getKind()==BOUND_VARIABLE ){
+      if( std::find( vars.begin(), vars.end(), n )==vars.end() ) {
+        vars.push_back( n );
+      }
+    }
+    for( unsigned i=0; i<n.getNumChildren(); i++ ){
+      getBoundVars2( n[i], vars, visited );
+    }
+  }
+}
+
+Node TermUtil::getRemoveQuantifiers2( Node n, std::map< Node, Node >& visited ) {
+  std::map< Node, Node >::iterator it = visited.find( n );
+  if( it!=visited.end() ){
+    return it->second;
+  }else{
+    Node ret = n;
+    if( n.getKind()==FORALL ){
+      ret = getRemoveQuantifiers2( n[1], visited );
+    }else if( n.getNumChildren()>0 ){
+      std::vector< Node > children;
+      bool childrenChanged = false;
+      for( unsigned i=0; i<n.getNumChildren(); i++ ){
+        Node ni = getRemoveQuantifiers2( n[i], visited );
+        childrenChanged = childrenChanged || ni!=n[i];
+        children.push_back( ni );
+      }
+      if( childrenChanged ){
+        if( n.getMetaKind() == kind::metakind::PARAMETERIZED ){
+          children.insert( children.begin(), n.getOperator() );
+        }
+        ret = NodeManager::currentNM()->mkNode( n.getKind(), children );
+      }
+    }
+    visited[n] = ret;
+    return ret;
+  }
+}
+
+Node TermUtil::getInstConstAttr( Node n ) {
+  if (!n.hasAttribute(InstConstantAttribute()) ){
+    Node q;
+    for( unsigned i=0; i<n.getNumChildren(); i++ ){
+      q = getInstConstAttr(n[i]);
+      if( !q.isNull() ){
+        break;
+      }
+    }
+    InstConstantAttribute ica;
+    n.setAttribute(ica, q);
+  }
+  return n.getAttribute(InstConstantAttribute());
+}
+
+bool TermUtil::hasInstConstAttr( Node n ) {
+  return !getInstConstAttr(n).isNull();
+}
+
+Node TermUtil::getBoundVarAttr( Node n ) {
+  if (!n.hasAttribute(BoundVarAttribute()) ){
+    Node bv;
+    if( n.getKind()==BOUND_VARIABLE ){
+      bv = n;
+    }else{
+      for( unsigned i=0; i<n.getNumChildren(); i++ ){
+        bv = getBoundVarAttr(n[i]);
+        if( !bv.isNull() ){
+          break;
+        }
+      }
+    }
+    BoundVarAttribute bva;
+    n.setAttribute(bva, bv);
+  }
+  return n.getAttribute(BoundVarAttribute());
+}
+
+bool TermUtil::hasBoundVarAttr( Node n ) {
+  return !getBoundVarAttr(n).isNull();
+}
+
+void TermUtil::getBoundVars( Node n, std::vector< Node >& vars ) {
+  std::map< Node, bool > visited;
+  return getBoundVars2( n, vars, visited );
+}
+
+//remove quantifiers
+Node TermUtil::getRemoveQuantifiers( Node n ) {
+  std::map< Node, Node > visited;
+  return getRemoveQuantifiers2( n, visited );
+}
+
+//quantified simplify
+Node TermUtil::getQuantSimplify( Node n ) {
+  std::vector< Node > bvs;
+  getBoundVars( n, bvs );
+  if( bvs.empty() ) {
+    return Rewriter::rewrite( n );
+  }else{
+    Node q = NodeManager::currentNM()->mkNode( FORALL, NodeManager::currentNM()->mkNode( BOUND_VAR_LIST, bvs ), n );
+    q = Rewriter::rewrite( q );
+    return getRemoveQuantifiers( q );
+  }
+}
+
+/** get the i^th instantiation constant of q */
+Node TermUtil::getInstantiationConstant( Node q, int i ) const {
+  std::map< Node, std::vector< Node > >::const_iterator it = d_inst_constants.find( q );
+  if( it!=d_inst_constants.end() ){
+    return it->second[i];
+  }else{
+    return Node::null();
+  }
+}
+
+/** get number of instantiation constants for q */
+unsigned TermUtil::getNumInstantiationConstants( Node q ) const {
+  std::map< Node, std::vector< Node > >::const_iterator it = d_inst_constants.find( q );
+  if( it!=d_inst_constants.end() ){
+    return it->second.size();
+  }else{
+    return 0;
+  }
+}
+
+Node TermUtil::getInstConstantBody( Node q ){
+  std::map< Node, Node >::iterator it = d_inst_const_body.find( q );
+  if( it==d_inst_const_body.end() ){
+    Node n = getInstConstantNode( q[1], q );
+    d_inst_const_body[ q ] = n;
+    return n;
+  }else{
+    return it->second;
+  }
+}
+
+Node TermUtil::getCounterexampleLiteral( Node q ){
+  if( d_ce_lit.find( q )==d_ce_lit.end() ){
+    /*
+    Node ceBody = getInstConstantBody( f );
+    //check if any variable are of bad types, and fail if so
+    for( size_t i=0; i<d_inst_constants[f].size(); i++ ){
+      if( d_inst_constants[f][i].getType().isBoolean() ){
+        d_ce_lit[ f ] = Node::null();
+        return Node::null();
+      }
+    }
+    */
+    Node g = NodeManager::currentNM()->mkSkolem( "g", NodeManager::currentNM()->booleanType() );
+    //otherwise, ensure literal
+    Node ceLit = d_quantEngine->getValuation().ensureLiteral( g );
+    d_ce_lit[ q ] = ceLit;
+  }
+  return d_ce_lit[ q ];
+}
+
+Node TermUtil::getInstConstantNode( Node n, Node q ){
+  registerQuantifier( q );
+  return n.substitute( d_vars[q].begin(), d_vars[q].end(), d_inst_constants[q].begin(), d_inst_constants[q].end() );
+}
+
+Node TermUtil::getVariableNode( Node n, Node q ) {
+  registerQuantifier( q );
+  return n.substitute( d_inst_constants[q].begin(), d_inst_constants[q].end(), d_vars[q].begin(), d_vars[q].end() );
+}
+
+Node TermUtil::getInstantiatedNode( Node n, Node q, std::vector< Node >& terms ) {
+  Assert( d_vars[q].size()==terms.size() );
+  return n.substitute( d_vars[q].begin(), d_vars[q].end(), terms.begin(), terms.end() );
+}
+
+
+void getSelfSel( const Datatype& dt, const DatatypeConstructor& dc, Node n, TypeNode ntn, std::vector< Node >& selfSel ){
+  TypeNode tspec;
+  if( dt.isParametric() ){
+    tspec = TypeNode::fromType( dc.getSpecializedConstructorType(n.getType().toType()) );
+    Trace("sk-ind-debug") << "Specialized constructor type : " << tspec << std::endl;
+    Assert( tspec.getNumChildren()==dc.getNumArgs() );
+  }
+  Trace("sk-ind-debug") << "Check self sel " << dc.getName() << " " << dt.getName() << std::endl;
+  for( unsigned j=0; j<dc.getNumArgs(); j++ ){
+    std::vector< Node > ssc;
+    if( dt.isParametric() ){
+      Trace("sk-ind-debug") << "Compare " << tspec[j] << " " << ntn << std::endl;
+      if( tspec[j]==ntn ){
+        ssc.push_back( n );
+      }
+    }else{
+      TypeNode tn = TypeNode::fromType( dc[j].getRangeType() );
+      Trace("sk-ind-debug") << "Compare " << tn << " " << ntn << std::endl;
+      if( tn==ntn ){
+        ssc.push_back( n );
+      }
+    }
+    /* TODO: more than weak structural induction
+    else if( tn.isDatatype() && std::find( visited.begin(), visited.end(), tn )==visited.end() ){
+      visited.push_back( tn );
+      const Datatype& dt = ((DatatypeType)(subs[0].getType()).toType()).getDatatype();
+      std::vector< Node > disj;
+      for( unsigned i=0; i<dt.getNumConstructors(); i++ ){
+        getSelfSel( dt[i], n, ntn, ssc );
+      }
+      visited.pop_back();
+    }
+    */
+    for( unsigned k=0; k<ssc.size(); k++ ){
+      Node ss = NodeManager::currentNM()->mkNode( APPLY_SELECTOR_TOTAL, dc.getSelectorInternal( n.getType().toType(), j ), n );
+      if( std::find( selfSel.begin(), selfSel.end(), ss )==selfSel.end() ){
+        selfSel.push_back( ss );
+      }
+    }
+  }
+}
+
+
+Node TermUtil::mkSkolemizedBody( Node f, Node n, std::vector< TypeNode >& argTypes, std::vector< TNode >& fvs,
+                               std::vector< Node >& sk, Node& sub, std::vector< unsigned >& sub_vars ) {
+  Assert( sk.empty() || sk.size()==f[0].getNumChildren() );
+  //calculate the variables and substitution
+  std::vector< TNode > ind_vars;
+  std::vector< unsigned > ind_var_indicies;
+  std::vector< TNode > vars;
+  std::vector< unsigned > var_indicies;
+  for( unsigned i=0; i<f[0].getNumChildren(); i++ ){
+    if( isInductionTerm( f[0][i] ) ){
+      ind_vars.push_back( f[0][i] );
+      ind_var_indicies.push_back( i );
+    }else{
+      vars.push_back( f[0][i] );
+      var_indicies.push_back( i );
+    }
+    Node s;
+    //make the new function symbol or use existing
+    if( i>=sk.size() ){
+      if( argTypes.empty() ){
+        s = NodeManager::currentNM()->mkSkolem( "skv", f[0][i].getType(), "created during skolemization" );
+      }else{
+        TypeNode typ = NodeManager::currentNM()->mkFunctionType( argTypes, f[0][i].getType() );
+        Node op = NodeManager::currentNM()->mkSkolem( "skop", typ, "op created during pre-skolemization" );
+        //DOTHIS: set attribute on op, marking that it should not be selected as trigger
+        std::vector< Node > funcArgs;
+        funcArgs.push_back( op );
+        funcArgs.insert( funcArgs.end(), fvs.begin(), fvs.end() );
+        s = NodeManager::currentNM()->mkNode( kind::APPLY_UF, funcArgs );
+      }
+      sk.push_back( s );
+    }else{
+      Assert( sk[i].getType()==f[0][i].getType() );
+    }
+  }
+  Node ret;
+  if( vars.empty() ){
+    ret = n;
+  }else{
+    std::vector< Node > var_sk;
+    for( unsigned i=0; i<var_indicies.size(); i++ ){
+      var_sk.push_back( sk[var_indicies[i]] );
+    }
+    Assert( vars.size()==var_sk.size() );
+    ret = n.substitute( vars.begin(), vars.end(), var_sk.begin(), var_sk.end() );
+  }
+  if( !ind_vars.empty() ){
+    Trace("sk-ind") << "Ind strengthen : (not " << f << ")" << std::endl;
+    Trace("sk-ind") << "Skolemized is : " << ret << std::endl;
+    Node n_str_ind;
+    TypeNode tn = ind_vars[0].getType();
+    Node k = sk[ind_var_indicies[0]];
+    Node nret = ret.substitute( ind_vars[0], k );
+    //note : everything is under a negation
+    //the following constructs ~( R( x, k ) => ~P( x ) )
+    if( options::dtStcInduction() && tn.isDatatype() ){
+      const Datatype& dt = ((DatatypeType)(tn).toType()).getDatatype();
+      std::vector< Node > disj;
+      for( unsigned i=0; i<dt.getNumConstructors(); i++ ){
+        std::vector< Node > selfSel;
+        getSelfSel( dt, dt[i], k, tn, selfSel );
+        std::vector< Node > conj;
+        conj.push_back( NodeManager::currentNM()->mkNode( APPLY_TESTER, Node::fromExpr( dt[i].getTester() ), k ).negate() );
+        for( unsigned j=0; j<selfSel.size(); j++ ){
+          conj.push_back( ret.substitute( ind_vars[0], selfSel[j] ).negate() );
+        }
+        disj.push_back( conj.size()==1 ? conj[0] : NodeManager::currentNM()->mkNode( OR, conj ) );
+      }
+      Assert( !disj.empty() );
+      n_str_ind = disj.size()==1 ? disj[0] : NodeManager::currentNM()->mkNode( AND, disj );
+    }else if( options::intWfInduction() && tn.isInteger() ){
+      Node icond = NodeManager::currentNM()->mkNode( GEQ, k, NodeManager::currentNM()->mkConst( Rational(0) ) );
+      Node iret = ret.substitute( ind_vars[0], NodeManager::currentNM()->mkNode( MINUS, k, NodeManager::currentNM()->mkConst( Rational(1) ) ) ).negate();
+      n_str_ind = NodeManager::currentNM()->mkNode( OR, icond.negate(), iret );
+      n_str_ind = NodeManager::currentNM()->mkNode( AND, icond, n_str_ind );
+    }else{
+      Trace("sk-ind") << "Unknown induction for term : " << ind_vars[0] << ", type = " << tn << std::endl;
+      Assert( false );
+    }
+    Trace("sk-ind") << "Strengthening is : " << n_str_ind << std::endl;
+
+    std::vector< Node > rem_ind_vars;
+    rem_ind_vars.insert( rem_ind_vars.end(), ind_vars.begin()+1, ind_vars.end() );
+    if( !rem_ind_vars.empty() ){
+      Node bvl = NodeManager::currentNM()->mkNode( BOUND_VAR_LIST, rem_ind_vars );
+      nret = NodeManager::currentNM()->mkNode( FORALL, bvl, nret );
+      nret = Rewriter::rewrite( nret );
+      sub = nret;
+      sub_vars.insert( sub_vars.end(), ind_var_indicies.begin()+1, ind_var_indicies.end() );
+      n_str_ind = NodeManager::currentNM()->mkNode( FORALL, bvl, n_str_ind.negate() ).negate();
+    }
+    ret = NodeManager::currentNM()->mkNode( OR, nret, n_str_ind );
+  }
+  Trace("quantifiers-sk-debug") << "mkSkolem body for " << f << " returns : " << ret << std::endl;
+  //if it has an instantiation level, set the skolemized body to that level
+  if( f.hasAttribute(InstLevelAttribute()) ){
+    theory::QuantifiersEngine::setInstantiationLevelAttr( ret, f.getAttribute(InstLevelAttribute()) );
+  }
+
+  if( Trace.isOn("quantifiers-sk") ){
+    Trace("quantifiers-sk") << "Skolemize : ";
+    for( unsigned i=0; i<sk.size(); i++ ){
+      Trace("quantifiers-sk") << sk[i] << " ";
+    }
+    Trace("quantifiers-sk") << "for " << std::endl;
+    Trace("quantifiers-sk") << "   " << f << std::endl;
+  }
+
+  return ret;
+}
+
+Node TermUtil::getSkolemizedBody( Node f ){
+  Assert( f.getKind()==FORALL );
+  if( d_skolem_body.find( f )==d_skolem_body.end() ){
+    std::vector< TypeNode > fvTypes;
+    std::vector< TNode > fvs;
+    Node sub;
+    std::vector< unsigned > sub_vars;
+    d_skolem_body[ f ] = mkSkolemizedBody( f, f[1], fvTypes, fvs, d_skolem_constants[f], sub, sub_vars );
+    //store sub quantifier information
+    if( !sub.isNull() ){
+      //if we are skolemizing one at a time, we already know the skolem constants of the sub-quantified formula, store them
+      Assert( d_skolem_constants[sub].empty() );
+      for( unsigned i=0; i<sub_vars.size(); i++ ){
+        d_skolem_constants[sub].push_back( d_skolem_constants[f][sub_vars[i]] );
+      }
+    }
+    Assert( d_skolem_constants[f].size()==f[0].getNumChildren() );
+    if( options::sortInference() ){
+      for( unsigned i=0; i<d_skolem_constants[f].size(); i++ ){
+        //carry information for sort inference
+        d_quantEngine->getTheoryEngine()->getSortInference()->setSkolemVar( f, f[0][i], d_skolem_constants[f][i] );
+      }
+    }
+  }
+  return d_skolem_body[ f ];
+}
+
+Node TermUtil::getEnumerateTerm( TypeNode tn, unsigned index ) {
+  Trace("term-db-enum") << "Get enumerate term " << tn << " " << index << std::endl;
+  std::map< TypeNode, unsigned >::iterator it = d_typ_enum_map.find( tn );
+  unsigned teIndex;
+  if( it==d_typ_enum_map.end() ){
+    teIndex = (int)d_typ_enum.size();
+    d_typ_enum_map[tn] = teIndex;
+    d_typ_enum.push_back( TypeEnumerator(tn) );
+  }else{
+    teIndex = it->second;
+  }
+  while( index>=d_enum_terms[tn].size() ){
+    if( d_typ_enum[teIndex].isFinished() ){
+      return Node::null();
+    }
+    d_enum_terms[tn].push_back( *d_typ_enum[teIndex] );
+    ++d_typ_enum[teIndex];
+  }
+  return d_enum_terms[tn][index];
+}
+
+bool TermUtil::isClosedEnumerableType( TypeNode tn ) {
+  std::map< TypeNode, bool >::iterator it = d_typ_closed_enum.find( tn );
+  if( it==d_typ_closed_enum.end() ){
+    d_typ_closed_enum[tn] = true;
+    bool ret = true;
+    if( tn.isArray() || tn.isSort() || tn.isCodatatype() || tn.isFunction() ){
+      ret = false;
+    }else if( tn.isSet() ){
+      ret = isClosedEnumerableType( tn.getSetElementType() );
+    }else if( tn.isDatatype() ){
+      const Datatype& dt = ((DatatypeType)(tn).toType()).getDatatype();
+      for( unsigned i=0; i<dt.getNumConstructors(); i++ ){
+        for( unsigned j=0; j<dt[i].getNumArgs(); j++ ){
+          TypeNode ctn = TypeNode::fromType( dt[i][j].getRangeType() );
+          if( tn!=ctn && !isClosedEnumerableType( ctn ) ){
+            ret = false;
+            break;
+          }
+        }
+        if( !ret ){
+          break;
+        }
+      }
+    }
+    //TODO: other parametric sorts go here
+    d_typ_closed_enum[tn] = ret;
+    return ret;
+  }else{
+    return it->second;
+  }
+}
+
+//checks whether a type is not Array and is reasonably small enough (<1000) such that all of its domain elements can be enumerated
+bool TermUtil::mayComplete( TypeNode tn ) {
+  std::map< TypeNode, bool >::iterator it = d_may_complete.find( tn );
+  if( it==d_may_complete.end() ){
+    bool mc = false;
+    if( isClosedEnumerableType( tn ) && tn.getCardinality().isFinite() && !tn.getCardinality().isLargeFinite() ){
+      Node card = NodeManager::currentNM()->mkConst( Rational(tn.getCardinality().getFiniteCardinality()) );
+      Node oth = NodeManager::currentNM()->mkConst( Rational(1000) );
+      Node eq = NodeManager::currentNM()->mkNode( LEQ, card, oth );
+      eq = Rewriter::rewrite( eq );
+      mc = eq==d_true;
+    }
+    d_may_complete[tn] = mc;
+    return mc;
+  }else{
+    return it->second;
+  }
+}
+
+void TermUtil::computeVarContains( Node n, std::vector< Node >& varContains ) {
+  std::map< Node, bool > visited;
+  computeVarContains2( n, INST_CONSTANT, varContains, visited );
+}
+
+void TermUtil::computeQuantContains( Node n, std::vector< Node >& quantContains ) {
+  std::map< Node, bool > visited;
+  computeVarContains2( n, FORALL, quantContains, visited );
+}
+
+
+void TermUtil::computeVarContains2( Node n, Kind k, std::vector< Node >& varContains, std::map< Node, bool >& visited ){
+  if( visited.find( n )==visited.end() ){
+    visited[n] = true;
+    if( n.getKind()==k ){
+      if( std::find( varContains.begin(), varContains.end(), n )==varContains.end() ){
+        varContains.push_back( n );
+      }
+    }else{
+      for( unsigned i=0; i<n.getNumChildren(); i++ ){
+        computeVarContains2( n[i], k, varContains, visited );
+      }
+    }
+  }
+}
+
+void TermUtil::getVarContains( Node f, std::vector< Node >& pats, std::map< Node, std::vector< Node > >& varContains ){
+  for( unsigned i=0; i<pats.size(); i++ ){
+    varContains[ pats[i] ].clear();
+    getVarContainsNode( f, pats[i], varContains[ pats[i] ] );
+  }
+}
+
+void TermUtil::getVarContainsNode( Node f, Node n, std::vector< Node >& varContains ){
+  std::vector< Node > vars;
+  computeVarContains( n, vars );
+  for( unsigned j=0; j<vars.size(); j++ ){
+    Node v = vars[j];
+    if( v.getAttribute(InstConstantAttribute())==f ){
+      if( std::find( varContains.begin(), varContains.end(), v )==varContains.end() ){
+        varContains.push_back( v );
+      }
+    }
+  }
+}
+
+int TermUtil::isInstanceOf2( Node n1, Node n2, std::vector< Node >& varContains1, std::vector< Node >& varContains2 ){
+  if( n1==n2 ){
+    return 1;
+  }else if( n1.getKind()==n2.getKind() ){
+    if( n1.getKind()==APPLY_UF ){
+      if( n1.getOperator()==n2.getOperator() ){
+        int result = 0;
+        for( int i=0; i<(int)n1.getNumChildren(); i++ ){
+          if( n1[i]!=n2[i] ){
+            int cResult = isInstanceOf2( n1[i], n2[i], varContains1, varContains2 );
+            if( cResult==0 ){
+              return 0;
+            }else if( cResult!=result ){
+              if( result!=0 ){
+                return 0;
+              }else{
+                result = cResult;
+              }
+            }
+          }
+        }
+        return result;
+      }
+    }
+    return 0;
+  }else if( n2.getKind()==INST_CONSTANT ){
+    //if( std::find( d_var_contains[ n1 ].begin(), d_var_contains[ n1 ].end(), n2 )!=d_var_contains[ n1 ].end() ){
+    //  return 1;
+    //}
+    if( varContains1.size()==1 && varContains1[ 0 ]==n2 ){
+      return 1;
+    }
+  }else if( n1.getKind()==INST_CONSTANT ){
+    //if( std::find( d_var_contains[ n2 ].begin(), d_var_contains[ n2 ].end(), n1 )!=d_var_contains[ n2 ].end() ){
+    //  return -1;
+    //}
+    if( varContains2.size()==1 && varContains2[ 0 ]==n1 ){
+      return 1;
+    }
+  }
+  return 0;
+}
+
+int TermUtil::isInstanceOf( Node n1, Node n2 ){
+  std::vector< Node > varContains1;
+  std::vector< Node > varContains2;
+  computeVarContains( n1, varContains1 );
+  computeVarContains( n1, varContains2 );
+  return isInstanceOf2( n1, n2, varContains1, varContains2 );
+}
+
+bool TermUtil::isUnifiableInstanceOf( Node n1, Node n2, std::map< Node, Node >& subs ){
+  if( n1==n2 ){
+    return true;
+  }else if( n2.getKind()==INST_CONSTANT ){
+    //if( !node_contains( n1, n2 ) ){
+    //  return false;
+    //}
+    if( subs.find( n2 )==subs.end() ){
+      subs[n2] = n1;
+    }else if( subs[n2]!=n1 ){
+      return false;
+    }
+    return true;
+  }else if( n1.getKind()==n2.getKind() && n1.getMetaKind()==kind::metakind::PARAMETERIZED ){
+    if( n1.getOperator()!=n2.getOperator() ){
+      return false;
+    }
+    for( int i=0; i<(int)n1.getNumChildren(); i++ ){
+      if( !isUnifiableInstanceOf( n1[i], n2[i], subs ) ){
+        return false;
+      }
+    }
+    return true;
+  }else{
+    return false;
+  }
+}
+
+void TermUtil::filterInstances( std::vector< Node >& nodes ){
+  std::vector< bool > active;
+  active.resize( nodes.size(), true );
+  std::map< int, std::vector< Node > > varContains;
+  for( unsigned i=0; i<nodes.size(); i++ ){
+    computeVarContains( nodes[i], varContains[i] );
+  }
+  for( unsigned i=0; i<nodes.size(); i++ ){
+    for( unsigned j=i+1; j<nodes.size(); j++ ){
+      if( active[i] && active[j] ){
+        int result = isInstanceOf2( nodes[i], nodes[j], varContains[i], varContains[j] );
+        if( result==1 ){
+          Trace("filter-instances") << nodes[j] << " is an instance of " << nodes[i] << std::endl;
+          active[j] = false;
+        }else if( result==-1 ){
+          Trace("filter-instances") << nodes[i] << " is an instance of " << nodes[j] << std::endl;
+          active[i] = false;
+        }
+      }
+    }
+  }
+  std::vector< Node > temp;
+  for( unsigned i=0; i<nodes.size(); i++ ){
+    if( active[i] ){
+      temp.push_back( nodes[i] );
+    }
+  }
+  nodes.clear();
+  nodes.insert( nodes.begin(), temp.begin(), temp.end() );
+}
+
+int TermUtil::getIdForOperator( Node op ) {
+  std::map< Node, int >::iterator it = d_op_id.find( op );
+  if( it==d_op_id.end() ){
+    d_op_id[op] = d_op_id_count;
+    d_op_id_count++;
+    return d_op_id[op];
+  }else{
+    return it->second;
+  }
+}
+
+int TermUtil::getIdForType( TypeNode t ) {
+  std::map< TypeNode, int >::iterator it = d_typ_id.find( t );
+  if( it==d_typ_id.end() ){
+    d_typ_id[t] = d_typ_id_count;
+    d_typ_id_count++;
+    return d_typ_id[t];
+  }else{
+    return it->second;
+  }
+}
+
+bool TermUtil::getTermOrder( Node a, Node b ) {
+  if( a.getKind()==BOUND_VARIABLE ){
+    if( b.getKind()==BOUND_VARIABLE ){
+      return a.getAttribute(InstVarNumAttribute())<b.getAttribute(InstVarNumAttribute());
+    }else{
+      return true;
+    }
+  }else if( b.getKind()!=BOUND_VARIABLE ){
+    Node aop = a.hasOperator() ? a.getOperator() : a;
+    Node bop = b.hasOperator() ? b.getOperator() : b;
+    Trace("aeq-debug2") << a << "...op..." << aop << std::endl;
+    Trace("aeq-debug2") << b << "...op..." << bop << std::endl;
+    if( aop==bop ){
+      if( a.getNumChildren()==b.getNumChildren() ){
+        for( unsigned i=0; i<a.getNumChildren(); i++ ){
+          if( a[i]!=b[i] ){
+            //first distinct child determines the ordering
+            return getTermOrder( a[i], b[i] );
+          }
+        }
+      }else{
+        return aop.getNumChildren()<bop.getNumChildren();
+      }
+    }else{
+      return getIdForOperator( aop )<getIdForOperator( bop );
+    }
+  }
+  return false;
+}
+
+
+
+Node TermUtil::getCanonicalFreeVar( TypeNode tn, unsigned i ) {
+  Assert( !tn.isNull() );
+  while( d_cn_free_var[tn].size()<=i ){
+    std::stringstream oss;
+    oss << tn;
+    std::string typ_name = oss.str();
+    while( typ_name[0]=='(' ){
+      typ_name.erase( typ_name.begin() );
+    }
+    std::stringstream os;
+    os << typ_name[0] << i;
+    Node x = NodeManager::currentNM()->mkBoundVar( os.str().c_str(), tn );
+    InstVarNumAttribute ivna;
+    x.setAttribute(ivna,d_cn_free_var[tn].size());
+    d_cn_free_var[tn].push_back( x );
+  }
+  return d_cn_free_var[tn][i];
+}
+
+struct sortTermOrder {
+  TermUtil* d_tu;
+  //std::map< Node, std::map< Node, bool > > d_cache;
+  bool operator() (Node i, Node j) {
+    /*
+    //must consult cache since term order is partial?
+    std::map< Node, bool >::iterator it = d_cache[j].find( i );
+    if( it!=d_cache[j].end() && it->second ){
+      return false;
+    }else{
+      bool ret = d_tdb->getTermOrder( i, j );
+      d_cache[i][j] = ret;
+      return ret;
+    }
+    */
+    return d_tu->getTermOrder( i, j );
+  }
+};
+
+//this function makes a canonical representation of a term (
+//  - orders variables left to right
+//  - if apply_torder, then sort direct subterms of commutative operators
+Node TermUtil::getCanonicalTerm( TNode n, std::map< TypeNode, unsigned >& var_count, std::map< TNode, TNode >& subs, bool apply_torder, std::map< TNode, Node >& visited ) {
+  Trace("canon-term-debug") << "Get canonical term for " << n << std::endl;
+  if( n.getKind()==BOUND_VARIABLE ){
+    std::map< TNode, TNode >::iterator it = subs.find( n );
+    if( it==subs.end() ){
+      TypeNode tn = n.getType();
+      //allocate variable
+      unsigned vn = var_count[tn];
+      var_count[tn]++;
+      subs[n] = getCanonicalFreeVar( tn, vn );
+      Trace("canon-term-debug") << "...allocate variable." << std::endl;
+      return subs[n];
+    }else{
+      Trace("canon-term-debug") << "...return variable in subs." << std::endl;
+      return it->second;
+    }
+  }else if( n.getNumChildren()>0 ){
+    std::map< TNode, Node >::iterator it = visited.find( n );
+    if( it!=visited.end() ){
+      return it->second;
+    }else{
+      //collect children
+      Trace("canon-term-debug") << "Collect children" << std::endl;
+      std::vector< Node > cchildren;
+      for( unsigned i=0; i<n.getNumChildren(); i++ ){
+        cchildren.push_back( n[i] );
+      }
+      //if applicable, first sort by term order
+      if( apply_torder && isComm( n.getKind() ) ){
+        Trace("canon-term-debug") << "Sort based on commutative operator " << n.getKind() << std::endl;
+        sortTermOrder sto;
+        sto.d_tu = this;
+        std::sort( cchildren.begin(), cchildren.end(), sto );
+      }
+      //now make canonical
+      Trace("canon-term-debug") << "Make canonical children" << std::endl;
+      for( unsigned i=0; i<cchildren.size(); i++ ){
+        cchildren[i] = getCanonicalTerm( cchildren[i], var_count, subs, apply_torder, visited );
+      }
+      if( n.getMetaKind() == kind::metakind::PARAMETERIZED ){
+        Trace("canon-term-debug") << "Insert operator " << n.getOperator() << std::endl;
+        cchildren.insert( cchildren.begin(), n.getOperator() );
+      }
+      Trace("canon-term-debug") << "...constructing for " << n << "." << std::endl;
+      Node ret = NodeManager::currentNM()->mkNode( n.getKind(), cchildren );
+      Trace("canon-term-debug") << "...constructed " << ret << " for " << n << "." << std::endl;
+      visited[n] = ret;
+      return ret;
+    }
+  }else{
+    Trace("canon-term-debug") << "...return 0-child term." << std::endl;
+    return n;
+  }
+}
+
+Node TermUtil::getCanonicalTerm( TNode n, bool apply_torder ){
+  std::map< TypeNode, unsigned > var_count;
+  std::map< TNode, TNode > subs;
+  std::map< TNode, Node > visited;
+  return getCanonicalTerm( n, var_count, subs, apply_torder, visited );
+}
+
+void TermUtil::getVtsTerms( std::vector< Node >& t, bool isFree, bool create, bool inc_delta ) {
+  if( inc_delta ){
+    Node delta = getVtsDelta( isFree, create );
+    if( !delta.isNull() ){
+      t.push_back( delta );
+    }
+  }
+  for( unsigned r=0; r<2; r++ ){
+    Node inf = getVtsInfinityIndex( r, isFree, create );
+    if( !inf.isNull() ){
+      t.push_back( inf );
+    }
+  }
+}
+
+Node TermUtil::getVtsDelta( bool isFree, bool create ) {
+  if( create ){
+    if( d_vts_delta_free.isNull() ){
+      d_vts_delta_free = NodeManager::currentNM()->mkSkolem( "delta_free", NodeManager::currentNM()->realType(), "free delta for virtual term substitution" );
+      Node delta_lem = NodeManager::currentNM()->mkNode( GT, d_vts_delta_free, d_zero );
+      d_quantEngine->getOutputChannel().lemma( delta_lem );
+    }
+    if( d_vts_delta.isNull() ){
+      d_vts_delta = NodeManager::currentNM()->mkSkolem( "delta", NodeManager::currentNM()->realType(), "delta for virtual term substitution" );
+      //mark as a virtual term
+      VirtualTermSkolemAttribute vtsa;
+      d_vts_delta.setAttribute(vtsa,true);
+    }
+  }
+  return isFree ? d_vts_delta_free : d_vts_delta;
+}
+
+Node TermUtil::getVtsInfinity( TypeNode tn, bool isFree, bool create ) {
+  if( create ){
+    if( d_vts_inf_free[tn].isNull() ){
+      d_vts_inf_free[tn] = NodeManager::currentNM()->mkSkolem( "inf_free", tn, "free infinity for virtual term substitution" );
+    }
+    if( d_vts_inf[tn].isNull() ){
+      d_vts_inf[tn] = NodeManager::currentNM()->mkSkolem( "inf", tn, "infinity for virtual term substitution" );
+      //mark as a virtual term
+      VirtualTermSkolemAttribute vtsa;
+      d_vts_inf[tn].setAttribute(vtsa,true);
+    }
+  }
+  return isFree ? d_vts_inf_free[tn] : d_vts_inf[tn];
+}
+
+Node TermUtil::getVtsInfinityIndex( int i, bool isFree, bool create ) {
+  if( i==0 ){
+    return getVtsInfinity( NodeManager::currentNM()->realType(), isFree, create );
+  }else if( i==1 ){
+    return getVtsInfinity( NodeManager::currentNM()->integerType(), isFree, create );
+  }else{
+    Assert( false );
+    return Node::null();
+  }
+}
+
+Node TermUtil::substituteVtsFreeTerms( Node n ) {
+  std::vector< Node > vars;
+  getVtsTerms( vars, false, false );
+  std::vector< Node > vars_free;
+  getVtsTerms( vars_free, true, false );
+  Assert( vars.size()==vars_free.size() );
+  if( !vars.empty() ){
+    return n.substitute( vars.begin(), vars.end(), vars_free.begin(), vars_free.end() );
+  }else{
+    return n;
+  }
+}
+
+Node TermUtil::rewriteVtsSymbols( Node n ) {
+  if( ( n.getKind()==EQUAL || n.getKind()==GEQ ) ){
+    Trace("quant-vts-debug") << "VTS : process " << n << std::endl;
+    Node rew_vts_inf;
+    bool rew_delta = false;
+    //rewriting infinity always takes precedence over rewriting delta
+    for( unsigned r=0; r<2; r++ ){
+      Node inf = getVtsInfinityIndex( r, false, false );
+      if( !inf.isNull() && containsTerm( n, inf ) ){
+        if( rew_vts_inf.isNull() ){
+          rew_vts_inf = inf;
+        }else{
+          //for mixed int/real with multiple infinities
+          Trace("quant-vts-debug") << "Multiple infinities...equate " << inf << " = " << rew_vts_inf << std::endl;
+          std::vector< Node > subs_lhs;
+          subs_lhs.push_back( inf );
+          std::vector< Node > subs_rhs;
+          subs_lhs.push_back( rew_vts_inf );
+          n = n.substitute( subs_lhs.begin(), subs_lhs.end(), subs_rhs.begin(), subs_rhs.end() );
+          n = Rewriter::rewrite( n );
+          //may have cancelled
+          if( !containsTerm( n, rew_vts_inf ) ){
+            rew_vts_inf = Node::null();
+          }
+        }
+      }
+    }
+    if( rew_vts_inf.isNull() ){
+      if( !d_vts_delta.isNull() && containsTerm( n, d_vts_delta ) ){
+        rew_delta = true;
+      }
+    }
+    if( !rew_vts_inf.isNull()  || rew_delta ){
+      std::map< Node, Node > msum;
+      if( QuantArith::getMonomialSumLit( n, msum ) ){
+        if( Trace.isOn("quant-vts-debug") ){
+          Trace("quant-vts-debug") << "VTS got monomial sum : " << std::endl;
+          QuantArith::debugPrintMonomialSum( msum, "quant-vts-debug" );
+        }
+        Node vts_sym = !rew_vts_inf.isNull() ? rew_vts_inf : d_vts_delta;
+        Assert( !vts_sym.isNull() );
+        Node iso_n;
+        Node nlit;
+        int res = QuantArith::isolate( vts_sym, msum, iso_n, n.getKind(), true );
+        if( res!=0 ){
+          Trace("quant-vts-debug") << "VTS isolated :  -> " << iso_n << ", res = " << res << std::endl;
+          Node slv = iso_n[res==1 ? 1 : 0];
+          //ensure the vts terms have been eliminated
+          if( containsVtsTerm( slv ) ){
+            Trace("quant-vts-warn") << "Bad vts literal : " << n << ", contains " << vts_sym << " but bad solved form " << slv << "." << std::endl;
+            nlit = substituteVtsFreeTerms( n );
+            Trace("quant-vts-debug") << "...return " << nlit << std::endl;
+            //Assert( false );
+            //safe case: just convert to free symbols
+            return nlit;
+          }else{
+            if( !rew_vts_inf.isNull() ){
+              nlit = ( n.getKind()==GEQ && res==1 ) ? d_true : d_false;
+            }else{
+              Assert( iso_n[res==1 ? 0 : 1]==d_vts_delta );
+              if( n.getKind()==EQUAL ){
+                nlit = d_false;
+              }else if( res==1 ){
+                nlit = NodeManager::currentNM()->mkNode( GEQ, d_zero, slv );
+              }else{
+                nlit = NodeManager::currentNM()->mkNode( GT, slv, d_zero );
+              }
+            }
+          }
+          Trace("quant-vts-debug") << "Return " << nlit << std::endl;
+          return nlit;
+        }else{
+          Trace("quant-vts-warn") << "Bad vts literal : " << n << ", contains " << vts_sym << " but could not isolate." << std::endl;
+          //safe case: just convert to free symbols
+          nlit = substituteVtsFreeTerms( n );
+          Trace("quant-vts-debug") << "...return " << nlit << std::endl;
+          //Assert( false );
+          return nlit;
+        }
+      }
+    }
+    return n;
+  }else if( n.getKind()==FORALL ){
+    //cannot traverse beneath quantifiers
+    return substituteVtsFreeTerms( n );
+  }else{
+    bool childChanged = false;
+    std::vector< Node > children;
+    for( unsigned i=0; i<n.getNumChildren(); i++ ){
+      Node nn = rewriteVtsSymbols( n[i] );
+      children.push_back( nn );
+      childChanged = childChanged || nn!=n[i];
+    }
+    if( childChanged ){
+      if( n.getMetaKind() == kind::metakind::PARAMETERIZED ){
+        children.insert( children.begin(), n.getOperator() );
+      }
+      Node ret = NodeManager::currentNM()->mkNode( n.getKind(), children );
+      Trace("quant-vts-debug") << "...make node " << ret << std::endl;
+      return ret;
+    }else{
+      return n;
+    }
+  }
+}
+
+bool TermUtil::containsVtsTerm( Node n, bool isFree ) {
+  std::vector< Node > t;
+  getVtsTerms( t, isFree, false );
+  return containsTerms( n, t );
+}
+
+bool TermUtil::containsVtsTerm( std::vector< Node >& n, bool isFree ) {
+  std::vector< Node > t;
+  getVtsTerms( t, isFree, false );
+  if( !t.empty() ){
+    for( unsigned i=0; i<n.size(); i++ ){
+      if( containsTerms( n[i], t ) ){
+        return true;
+      }
+    }
+  }
+  return false;
+}
+
+bool TermUtil::containsVtsInfinity( Node n, bool isFree ) {
+  std::vector< Node > t;
+  getVtsTerms( t, isFree, false, false );
+  return containsTerms( n, t );
+}
+
+Node TermUtil::ensureType( Node n, TypeNode tn ) {
+  TypeNode ntn = n.getType();
+  Assert( ntn.isComparableTo( tn ) );
+  if( ntn.isSubtypeOf( tn ) ){
+    return n;
+  }else{
+    if( tn.isInteger() ){
+      return NodeManager::currentNM()->mkNode( TO_INTEGER, n );
+    }
+    return Node::null();
+  }
+}
+
+void TermUtil::getRelevancyCondition( Node n, std::vector< Node >& cond ) {
+  if( n.getKind()==APPLY_SELECTOR_TOTAL ){
+    // don't worry about relevancy conditions if using shared selectors
+    if( !options::dtSharedSelectors() ){
+      unsigned scindex = Datatype::cindexOf(n.getOperator().toExpr());
+      const Datatype& dt = ((DatatypeType)(n[0].getType()).toType()).getDatatype();
+      Node rc = NodeManager::currentNM()->mkNode( APPLY_TESTER, Node::fromExpr( dt[scindex].getTester() ), n[0] ).negate();
+      if( std::find( cond.begin(), cond.end(), rc )==cond.end() ){
+        cond.push_back( rc );
+      }
+      getRelevancyCondition( n[0], cond );
+    }
+  }
+}
+
+bool TermUtil::containsTerm2( Node n, Node t, std::map< Node, bool >& visited ) {
+  if( n==t ){
+    return true;
+  }else{
+    if( visited.find( n )==visited.end() ){
+      visited[n] = true;
+      for( unsigned i=0; i<n.getNumChildren(); i++ ){
+        if( containsTerm2( n[i], t, visited ) ){
+          return true;
+        }
+      }
+    }
+    return false;
+  }
+}
+
+bool TermUtil::containsTerms2( Node n, std::vector< Node >& t, std::map< Node, bool >& visited ) {
+  if( visited.find( n )==visited.end() ){
+    if( std::find( t.begin(), t.end(), n )!=t.end() ){
+      return true;
+    }else{
+      visited[n] = true;
+      for( unsigned i=0; i<n.getNumChildren(); i++ ){
+        if( containsTerms2( n[i], t, visited ) ){
+          return true;
+        }
+      }
+    }
+  }
+  return false;
+}
+
+bool TermUtil::containsTerm( Node n, Node t ) {
+  std::map< Node, bool > visited;
+  return containsTerm2( n, t, visited );
+}
+
+bool TermUtil::containsTerms( Node n, std::vector< Node >& t ) {
+  if( t.empty() ){
+    return false;
+  }else{
+    std::map< Node, bool > visited;
+    return containsTerms2( n, t, visited );
+  }
+}
+
+int TermUtil::getTermDepth( Node n ) {
+  if (!n.hasAttribute(TermDepthAttribute()) ){
+    int maxDepth = -1;
+    for( unsigned i=0; i<n.getNumChildren(); i++ ){
+      int depth = getTermDepth( n[i] );
+      if( depth>maxDepth ){
+        maxDepth = depth;
+      }
+    }
+    TermDepthAttribute tda;
+    n.setAttribute(tda,1+maxDepth);
+  }
+  return n.getAttribute(TermDepthAttribute());
+}
+
+bool TermUtil::containsUninterpretedConstant( Node n ) {
+  if (!n.hasAttribute(ContainsUConstAttribute()) ){
+    bool ret = false;
+    if( n.getKind()==UNINTERPRETED_CONSTANT ){
+      ret = true;
+    }else{ 
+      for( unsigned i=0; i<n.getNumChildren(); i++ ){
+        if( containsUninterpretedConstant( n[i] ) ){
+          ret = true;
+          break;
+        }
+      }
+    }
+    ContainsUConstAttribute cuca;
+    n.setAttribute(cuca, ret ? 1 : 0);
+  }
+  return n.getAttribute(ContainsUConstAttribute())!=0;
+}
+
+Node TermUtil::simpleNegate( Node n ){
+  if( n.getKind()==OR || n.getKind()==AND ){
+    std::vector< Node > children;
+    for( unsigned i=0; i<n.getNumChildren(); i++ ){
+      children.push_back( simpleNegate( n[i] ) );
+    }
+    return NodeManager::currentNM()->mkNode( n.getKind()==OR ? AND : OR, children );
+  }else{
+    return n.negate();
+  }
+}
+
+bool TermUtil::isAssoc( Kind k ) {
+  return k==PLUS || k==MULT || k==AND || k==OR || 
+         k==BITVECTOR_PLUS || k==BITVECTOR_MULT || k==BITVECTOR_AND || k==BITVECTOR_OR || k==BITVECTOR_XOR || k==BITVECTOR_XNOR || k==BITVECTOR_CONCAT ||
+         k==STRING_CONCAT;
+}
+
+bool TermUtil::isComm( Kind k ) {
+  return k==EQUAL || k==PLUS || k==MULT || k==AND || k==OR || k==XOR || 
+         k==BITVECTOR_PLUS || k==BITVECTOR_MULT || k==BITVECTOR_AND || k==BITVECTOR_OR || k==BITVECTOR_XOR || k==BITVECTOR_XNOR;
+}
+
+bool TermUtil::isNonAdditive( Kind k ) {
+  return k==AND || k==OR || k==BITVECTOR_AND || k==BITVECTOR_OR;
+}
+
+bool TermUtil::isBoolConnective( Kind k ) {
+  return k==OR || k==AND || k==EQUAL || k==ITE || k==FORALL || k==NOT || k==SEP_STAR;
+}
+
+bool TermUtil::isBoolConnectiveTerm( TNode n ) {
+  return isBoolConnective( n.getKind() ) &&
+         ( n.getKind()!=EQUAL || n[0].getType().isBoolean() ) && 
+         ( n.getKind()!=ITE || n.getType().isBoolean() );
+}
+
+void TermUtil::registerTrigger( theory::inst::Trigger* tr, Node op ){
+  if( std::find( d_op_triggers[op].begin(), d_op_triggers[op].end(), tr )==d_op_triggers[op].end() ){
+    d_op_triggers[op].push_back( tr );
+  }
+}
+
+Node TermUtil::getHoTypeMatchPredicate( TypeNode tn ) {
+  std::map< TypeNode, Node >::iterator ithp = d_ho_type_match_pred.find( tn );
+  if( ithp==d_ho_type_match_pred.end() ){
+    TypeNode ptn = NodeManager::currentNM()->mkFunctionType( tn, NodeManager::currentNM()->booleanType() );
+    Node k = NodeManager::currentNM()->mkSkolem( "U", ptn, "predicate to force higher-order types" );
+    d_ho_type_match_pred[tn] = k;
+    return k;
+  }else{
+    return ithp->second;  
+  }
+}
+
+bool TermUtil::isInductionTerm( Node n ) {
+  TypeNode tn = n.getType();
+  if( options::dtStcInduction() && tn.isDatatype() ){
+    const Datatype& dt = ((DatatypeType)(tn).toType()).getDatatype();
+    return !dt.isCodatatype();
+  }
+  if( options::intWfInduction() && n.getType().isInteger() ){
+    return true;
+  }
+  return false;
+}
+
+}/* CVC4::theory::quantifiers namespace */
+}/* CVC4::theory namespace */
+}/* CVC4 namespace */
diff --git a/src/theory/quantifiers/term_util.h b/src/theory/quantifiers/term_util.h
new file mode 100644
index 000000000..2360c5bfb
--- /dev/null
+++ b/src/theory/quantifiers/term_util.h
@@ -0,0 +1,346 @@
+/*********************                                                        */
+/*! \file term_util.h
+ ** \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 term utilities class
+ **/
+
+#include "cvc4_private.h"
+
+#ifndef __CVC4__THEORY__QUANTIFIERS__TERM_UTIL_H
+#define __CVC4__THEORY__QUANTIFIERS__TERM_UTIL_H
+
+#include <map>
+#include <unordered_set>
+
+#include "expr/attribute.h"
+#include "theory/type_enumerator.h"
+
+namespace CVC4 {
+namespace theory {
+
+// attribute for "contains instantiation constants from"
+struct InstConstantAttributeId {};
+typedef expr::Attribute<InstConstantAttributeId, Node> InstConstantAttribute;
+
+struct BoundVarAttributeId {};
+typedef expr::Attribute<BoundVarAttributeId, Node> BoundVarAttribute;
+
+struct InstLevelAttributeId {};
+typedef expr::Attribute<InstLevelAttributeId, uint64_t> InstLevelAttribute;
+
+struct InstVarNumAttributeId {};
+typedef expr::Attribute<InstVarNumAttributeId, uint64_t> InstVarNumAttribute;
+
+struct TermDepthAttributeId {};
+typedef expr::Attribute<TermDepthAttributeId, uint64_t> TermDepthAttribute;
+
+struct ContainsUConstAttributeId {};
+typedef expr::Attribute<ContainsUConstAttributeId, uint64_t> ContainsUConstAttribute;
+
+struct ModelBasisAttributeId {};
+typedef expr::Attribute<ModelBasisAttributeId, bool> ModelBasisAttribute;
+//for APPLY_UF terms, 1 : term has direct child with model basis attribute,
+//                    0 : term has no direct child with model basis attribute.
+struct ModelBasisArgAttributeId {};
+typedef expr::Attribute<ModelBasisArgAttributeId, uint64_t> ModelBasisArgAttribute;
+
+//for bounded integers
+struct BoundIntLitAttributeId {};
+typedef expr::Attribute<BoundIntLitAttributeId, uint64_t> BoundIntLitAttribute;
+
+//for quantifier instantiation level
+struct QuantInstLevelAttributeId {};
+typedef expr::Attribute<QuantInstLevelAttributeId, uint64_t> QuantInstLevelAttribute;
+
+//rewrite-rule priority
+struct RrPriorityAttributeId {};
+typedef expr::Attribute<RrPriorityAttributeId, uint64_t> RrPriorityAttribute;
+
+/** Attribute true for quantifiers that do not need to be partially instantiated */
+struct LtePartialInstAttributeId {};
+typedef expr::Attribute< LtePartialInstAttributeId, bool > LtePartialInstAttribute;
+
+// attribute for "contains instantiation constants from"
+struct SygusProxyAttributeId {};
+typedef expr::Attribute<SygusProxyAttributeId, Node> SygusProxyAttribute;
+
+// attribute for associating a synthesis function with a first order variable
+struct SygusSynthFunAttributeId {};
+typedef expr::Attribute<SygusSynthFunAttributeId, Node> SygusSynthFunAttribute;
+
+// attribute for associating a variable list with a synth fun
+struct SygusSynthFunVarListAttributeId {};
+typedef expr::Attribute<SygusSynthFunVarListAttributeId, Node> SygusSynthFunVarListAttribute;
+
+//attribute for fun-def abstraction type
+struct AbsTypeFunDefAttributeId {};
+typedef expr::Attribute<AbsTypeFunDefAttributeId, bool> AbsTypeFunDefAttribute;
+
+/** Attribute for id number */
+struct QuantIdNumAttributeId {};
+typedef expr::Attribute< QuantIdNumAttributeId, uint64_t > QuantIdNumAttribute;
+
+/** sygus var num */
+struct SygusVarNumAttributeId {};
+typedef expr::Attribute<SygusVarNumAttributeId, uint64_t> SygusVarNumAttribute;
+
+/** Attribute to mark Skolems as virtual terms */
+struct VirtualTermSkolemAttributeId {};
+typedef expr::Attribute< VirtualTermSkolemAttributeId, bool > VirtualTermSkolemAttribute;
+
+class QuantifiersEngine;
+
+namespace inst{
+  class Trigger;
+  class HigherOrderTrigger;
+}
+
+namespace quantifiers {
+
+class TermDatabase;
+
+// TODO : #1216 split this class, most of the functions in this class should be dispersed to where they are used.
+class TermUtil {
+  // TODO : remove these
+  friend class ::CVC4::theory::QuantifiersEngine;
+  friend class TermDatabase;
+private:
+  /** reference to the quantifiers engine */
+  QuantifiersEngine* d_quantEngine;
+public:
+  TermUtil(QuantifiersEngine * qe);
+  ~TermUtil();
+  /** boolean terms */
+  Node d_true;
+  Node d_false;
+  /** constants */
+  Node d_zero;
+  Node d_one;
+
+  /** register quantifier */
+  void registerQuantifier( Node q );
+
+//for inst constant
+private:
+  /** map from universal quantifiers to the list of variables */
+  std::map< Node, std::vector< Node > > d_vars;
+  std::map< Node, std::map< Node, unsigned > > d_var_num;
+  /** map from universal quantifiers to their inst constant body */
+  std::map< Node, Node > d_inst_const_body;
+  /** map from universal quantifiers to their counterexample literals */
+  std::map< Node, Node > d_ce_lit;
+  /** instantiation constants to universal quantifiers */
+  std::map< Node, Node > d_inst_constants_map;
+public:
+  /** map from universal quantifiers to the list of instantiation constants */
+  std::map< Node, std::vector< Node > > d_inst_constants;
+  /** get variable number */
+  unsigned getVariableNum( Node q, Node v ) { return d_var_num[q][v]; }
+  /** get the i^th instantiation constant of q */
+  Node getInstantiationConstant( Node q, int i ) const;
+  /** get number of instantiation constants for q */
+  unsigned getNumInstantiationConstants( Node q ) const;
+  /** get the ce body q[e/x] */
+  Node getInstConstantBody( Node q );
+  /** get counterexample literal (for cbqi) */
+  Node getCounterexampleLiteral( Node q );
+  /** returns node n with bound vars of q replaced by instantiation constants of q
+      node n : is the future pattern
+      node q : is the quantifier containing which bind the variable
+      return a pattern where the variable are replaced by variable for
+      instantiation.
+   */
+  Node getInstConstantNode( Node n, Node q );
+  Node getVariableNode( Node n, Node q );
+  /** get substituted node */
+  Node getInstantiatedNode( Node n, Node q, std::vector< Node >& terms );
+
+  static Node getInstConstAttr( Node n );
+  static bool hasInstConstAttr( Node n );
+  static Node getBoundVarAttr( Node n );
+  static bool hasBoundVarAttr( Node n );
+  
+private:
+  /** get bound vars */
+  static void getBoundVars2( Node n, std::vector< Node >& vars, std::map< Node, bool >& visited );
+  /** get bound vars */
+  static Node getRemoveQuantifiers2( Node n, std::map< Node, Node >& visited );
+public:
+  //get the bound variables in this node
+  static void getBoundVars( Node n, std::vector< Node >& vars );
+  //remove quantifiers
+  static Node getRemoveQuantifiers( Node n );
+  //quantified simplify (treat free variables in n as quantified and run rewriter)
+  static Node getQuantSimplify( Node n );
+
+//for skolem
+private:
+  /** map from universal quantifiers to their skolemized body */
+  std::map< Node, Node > d_skolem_body;
+public:
+  /** map from universal quantifiers to the list of skolem constants */
+  std::map< Node, std::vector< Node > > d_skolem_constants;
+  /** make the skolemized body f[e/x] */
+  static Node mkSkolemizedBody( Node f, Node n, std::vector< TypeNode >& fvTypes, std::vector< TNode >& fvs,
+                                std::vector< Node >& sk, Node& sub, std::vector< unsigned >& sub_vars );
+  /** get the skolemized body */
+  Node getSkolemizedBody( Node f);
+  /** is induction variable */
+  static bool isInductionTerm( Node n );
+
+//for ground term enumeration
+private:
+  /** ground terms enumerated for types */
+  std::map< TypeNode, std::vector< Node > > d_enum_terms;
+  //type enumerators
+  std::map< TypeNode, unsigned > d_typ_enum_map;
+  std::vector< TypeEnumerator > d_typ_enum;
+  // closed enumerable type cache
+  std::map< TypeNode, bool > d_typ_closed_enum;
+  /** may complete */
+  std::map< TypeNode, bool > d_may_complete;
+public:
+  //get nth term for type
+  Node getEnumerateTerm( TypeNode tn, unsigned index );
+  //does this type have an enumerator that produces constants that are handled by ground theory solvers
+  bool isClosedEnumerableType( TypeNode tn );
+  // may complete
+  bool mayComplete( TypeNode tn );
+
+//for triggers
+private:
+  /** helper function for compute var contains */
+  static void computeVarContains2( Node n, Kind k, std::vector< Node >& varContains, std::map< Node, bool >& visited );
+  /** triggers for each operator */
+  std::map< Node, std::vector< inst::Trigger* > > d_op_triggers;
+  /** helper for is instance of */
+  static bool isUnifiableInstanceOf( Node n1, Node n2, std::map< Node, Node >& subs );
+  /** -1: n1 is an instance of n2, 1: n1 is an instance of n2 */
+  static int isInstanceOf2( Node n1, Node n2, std::vector< Node >& varContains1, std::vector< Node >& varContains2 );
+public:
+  /** compute var contains */
+  static void computeVarContains( Node n, std::vector< Node >& varContains );
+  /** get var contains for each of the patterns in pats */
+  static void getVarContains( Node f, std::vector< Node >& pats, std::map< Node, std::vector< Node > >& varContains );
+  /** get var contains for node n */
+  static void getVarContainsNode( Node f, Node n, std::vector< Node >& varContains );
+  /** compute quant contains */
+  static void computeQuantContains( Node n, std::vector< Node >& quantContains );
+  /** -1: n1 is an instance of n2, 1: n1 is an instance of n2 */
+  static int isInstanceOf( Node n1, Node n2 );
+  /** filter all nodes that have instances */
+  static void filterInstances( std::vector< Node >& nodes );
+  /** register trigger (for eager quantifier instantiation) */
+  void registerTrigger( inst::Trigger* tr, Node op );
+
+//for term ordering
+private:
+  /** operator id count */
+  int d_op_id_count;
+  /** map from operators to id */
+  std::map< Node, int > d_op_id;
+  /** type id count */
+  int d_typ_id_count;
+  /** map from type to id */
+  std::map< TypeNode, int > d_typ_id;
+  //free variables
+  std::map< TypeNode, std::vector< Node > > d_cn_free_var;
+  // get canonical term, return null if it contains a term apart from handled signature
+  Node getCanonicalTerm( TNode n, std::map< TypeNode, unsigned >& var_count, std::map< TNode, TNode >& subs, bool apply_torder, 
+                         std::map< TNode, Node >& visited );
+public:
+  /** get id for operator */
+  int getIdForOperator( Node op );
+  /** get id for type */
+  int getIdForType( TypeNode t );
+  /** get term order */
+  bool getTermOrder( Node a, Node b );
+  /** get canonical free variable #i of type tn */
+  Node getCanonicalFreeVar( TypeNode tn, unsigned i );
+  /** get canonical term */
+  Node getCanonicalTerm( TNode n, bool apply_torder = false );
+
+//for virtual term substitution
+private:
+  Node d_vts_delta;
+  std::map< TypeNode, Node > d_vts_inf;
+  Node d_vts_delta_free;
+  std::map< TypeNode, Node > d_vts_inf_free;
+  /** get vts infinity index */
+  Node getVtsInfinityIndex( int i, bool isFree = false, bool create = true  );
+  /** substitute vts free terms */
+  Node substituteVtsFreeTerms( Node n );
+public:
+  /** get vts delta */
+  Node getVtsDelta( bool isFree = false, bool create = true );
+  /** get vts infinity */
+  Node getVtsInfinity( TypeNode tn, bool isFree = false, bool create = true );
+  /** get all vts terms */
+  void getVtsTerms( std::vector< Node >& t, bool isFree = false, bool create = true, bool inc_delta = true );
+  /** rewrite delta */
+  Node rewriteVtsSymbols( Node n );
+  /** simple check for contains term */
+  bool containsVtsTerm( Node n, bool isFree = false );
+  /** simple check for contains term */
+  bool containsVtsTerm( std::vector< Node >& n, bool isFree = false );
+  /** simple check for contains term */
+  bool containsVtsInfinity( Node n, bool isFree = false );
+  /** ensure type */
+  static Node ensureType( Node n, TypeNode tn );
+  /** get relevancy condition */
+  static void getRelevancyCondition( Node n, std::vector< Node >& cond );
+  
+//general utilities
+private:
+  //helper for contains term
+  static bool containsTerm2( Node n, Node t, std::map< Node, bool >& visited );
+  static bool containsTerms2( Node n, std::vector< Node >& t, std::map< Node, bool >& visited );
+public:
+  /** simple check for whether n contains t as subterm */
+  static bool containsTerm( Node n, Node t );
+  /** simple check for contains term, true if contains at least one term in t */
+  static bool containsTerms( Node n, std::vector< Node >& t );
+  /** contains uninterpreted constant */
+  static bool containsUninterpretedConstant( Node n );
+  /** get the term depth of n */
+  static int getTermDepth( Node n );
+  /** simple negate */
+  static Node simpleNegate( Node n );
+  /** is assoc */
+  static bool isAssoc( Kind k );
+  /** is comm */
+  static bool isComm( Kind k );
+  /** ( x k ... ) k x = ( x k ... ) */
+  static bool isNonAdditive( Kind k );
+  /** is bool connective */
+  static bool isBoolConnective( Kind k );
+  /** is bool connective term */
+  static bool isBoolConnectiveTerm( TNode n );
+
+//for higher-order
+private:
+  /** dummy predicate that states terms should be considered first-class members of equality engine */
+  std::map< TypeNode, Node > d_ho_type_match_pred;
+public:
+  /** get higher-order type match predicate
+   * This predicate is used to force certain functions f of type tn to appear as first-class representatives in the
+   * quantifier-free UF solver. For a typical use case, we call getHoTypeMatchPredicate which returns a fresh 
+   * predicate P of type (tn -> Bool). Then, we add P( f ) as a lemma.  
+   * TODO: we may eliminate this depending on how github issue #1115 is resolved.
+   */
+  Node getHoTypeMatchPredicate( TypeNode tn );
+};/* class TermUtil */
+
+}/* CVC4::theory::quantifiers namespace */
+}/* CVC4::theory namespace */
+}/* CVC4 namespace */
+
+#endif /* __CVC4__THEORY__QUANTIFIERS__TERM_UTIL_H */
diff --git a/src/theory/quantifiers/theory_quantifiers.cpp b/src/theory/quantifiers/theory_quantifiers.cpp
index 00a358e5f..855cdb911 100644
--- a/src/theory/quantifiers/theory_quantifiers.cpp
+++ b/src/theory/quantifiers/theory_quantifiers.cpp
@@ -24,6 +24,7 @@
 #include "theory/quantifiers/model_engine.h"
 #include "theory/quantifiers/quantifiers_attributes.h"
 #include "theory/quantifiers/term_database.h"
+#include "theory/quantifiers/term_util.h"
 #include "theory/quantifiers_engine.h"
 #include "theory/valuation.h"
 
@@ -74,7 +75,7 @@ void TheoryQuantifiers::notifyEq(TNode lhs, TNode rhs) {
 void TheoryQuantifiers::preRegisterTerm(TNode n) {
   Debug("quantifiers-prereg") << "TheoryQuantifiers::preRegisterTerm() " << n << endl;
   if( n.getKind()==FORALL ){
-    if( !options::cbqi() || options::recurseCbqi() || !TermDb::hasInstConstAttr(n) ){
+    if( !options::cbqi() || options::recurseCbqi() || !TermUtil::hasInstConstAttr(n) ){
       getQuantifiersEngine()->registerQuantifier( n );
       Debug("quantifiers-prereg") << "TheoryQuantifiers::preRegisterTerm() done " << n << endl;
     }
@@ -186,18 +187,18 @@ Node TheoryQuantifiers::getNextDecisionRequest( unsigned& priority ){
 
 void TheoryQuantifiers::assertUniversal( Node n ){
   Assert( n.getKind()==FORALL );
-  if( !options::cbqi() || options::recurseCbqi() || !TermDb::hasInstConstAttr(n) ){
+  if( !options::cbqi() || options::recurseCbqi() || !TermUtil::hasInstConstAttr(n) ){
     getQuantifiersEngine()->assertQuantifier( n, true );
   }
 }
 
 void TheoryQuantifiers::assertExistential( Node n ){
   Assert( n.getKind()== NOT && n[0].getKind()==FORALL );
-  if( !options::cbqi() || options::recurseCbqi() || !TermDb::hasInstConstAttr(n[0]) ){
+  if( !options::cbqi() || options::recurseCbqi() || !TermUtil::hasInstConstAttr(n[0]) ){
     getQuantifiersEngine()->assertQuantifier( n[0], false );
   }
 }
 
 void TheoryQuantifiers::setUserAttribute(const std::string& attr, Node n, std::vector<Node> node_values, std::string str_value){
-  QuantifiersAttributes::setUserAttribute( attr, n, node_values, str_value );
+  QuantAttributes::setUserAttribute( attr, n, node_values, str_value );
 }
diff --git a/src/theory/quantifiers/trigger.cpp b/src/theory/quantifiers/trigger.cpp
index 20933c7f7..01cf655ac 100644
--- a/src/theory/quantifiers/trigger.cpp
+++ b/src/theory/quantifiers/trigger.cpp
@@ -16,6 +16,7 @@
 #include "theory/quantifiers/candidate_generator.h"
 #include "theory/quantifiers/inst_match_generator.h"
 #include "theory/quantifiers/term_database.h"
+#include "theory/quantifiers/term_util.h"
 #include "theory/quantifiers_engine.h"
 #include "theory/theory_engine.h"
 #include "theory/uf/equality_engine.h"
@@ -32,7 +33,7 @@ namespace inst {
 
 void TriggerTermInfo::init( Node q, Node n, int reqPol, Node reqPolEq ){
   if( d_fv.empty() ){
-    quantifiers::TermDb::getVarContainsNode( q, n, d_fv );
+    quantifiers::TermUtil::getVarContainsNode( q, n, d_fv );
   }
   if( d_reqPol==0 ){
     d_reqPol = reqPol;
@@ -125,12 +126,12 @@ bool Trigger::mkTriggerTerms( Node q, std::vector< Node >& nodes, unsigned n_var
   std::map< Node, std::vector< Node > > patterns;
   size_t varCount = 0;
   std::map< Node, std::vector< Node > > varContains;
-  quantifiers::TermDb::getVarContains( q, temp, varContains );
+  quantifiers::TermUtil::getVarContains( q, temp, varContains );
   for( unsigned i=0; i<temp.size(); i++ ){
     bool foundVar = false;
     for( unsigned j=0; j<varContains[ temp[i] ].size(); j++ ){
       Node v = varContains[ temp[i] ][j];
-      Assert( quantifiers::TermDb::getInstConstAttr(v)==q );
+      Assert( quantifiers::TermUtil::getInstConstAttr(v)==q );
       if( vars.find( v )==vars.end() ){
         varCount++;
         vars[ v ] = true;
@@ -224,7 +225,7 @@ Trigger* Trigger::mkTrigger( QuantifiersEngine* qe, Node f, Node n, bool keepAll
 }
 
 bool Trigger::isUsable( Node n, Node q ){
-  if( quantifiers::TermDb::getInstConstAttr(n)==q ){
+  if( quantifiers::TermUtil::getInstConstAttr(n)==q ){
     if( isAtomicTrigger( n ) ){
       for( unsigned i=0; i<n.getNumChildren(); i++ ){
         if( !isUsable( n[i], q ) ){
@@ -255,7 +256,7 @@ Node Trigger::getIsUsableEq( Node q, Node n ) {
   Assert( isRelationalTrigger( n ) );
   for( unsigned i=0; i<2; i++) {
     if( isUsableEqTerms( q, n[i], n[1-i] ) ){
-      if( i==1 && n.getKind()==EQUAL && !quantifiers::TermDb::hasInstConstAttr(n[0]) ){
+      if( i==1 && n.getKind()==EQUAL && !quantifiers::TermUtil::hasInstConstAttr(n[0]) ){
         return NodeManager::currentNM()->mkNode( n.getKind(), n[1], n[0] );  
       }else{
         return n;
@@ -268,16 +269,16 @@ Node Trigger::getIsUsableEq( Node q, Node n ) {
 bool Trigger::isUsableEqTerms( Node q, Node n1, Node n2 ) {
   if( n1.getKind()==INST_CONSTANT ){
     if( options::relationalTriggers() ){
-      if( !quantifiers::TermDb::hasInstConstAttr(n2) ){
+      if( !quantifiers::TermUtil::hasInstConstAttr(n2) ){
         return true;
       }else if( n2.getKind()==INST_CONSTANT ){
         return true;
       }
     }
   }else if( isUsableAtomicTrigger( n1, q ) ){
-    if( options::relationalTriggers() && n2.getKind()==INST_CONSTANT && !quantifiers::TermDb::containsTerm( n1, n2 ) ){
+    if( options::relationalTriggers() && n2.getKind()==INST_CONSTANT && !quantifiers::TermUtil::containsTerm( n1, n2 ) ){
       return true;
-    }else if( !quantifiers::TermDb::hasInstConstAttr(n2) ){
+    }else if( !quantifiers::TermUtil::hasInstConstAttr(n2) ){
       return true;
     }
   }
@@ -329,7 +330,7 @@ Node Trigger::getIsUsableTrigger( Node n, Node q ) {
       return rtr2;
     }
   }else{
-    Trace("trigger-debug") << n << " usable : " << ( quantifiers::TermDb::getInstConstAttr(n)==q ) << " " << isAtomicTrigger( n ) << " " << isUsable( n, q ) << std::endl;
+    Trace("trigger-debug") << n << " usable : " << ( quantifiers::TermUtil::getInstConstAttr(n)==q ) << " " << isAtomicTrigger( n ) << " " << isUsable( n, q ) << std::endl;
     if( isUsableAtomicTrigger( n, q ) ){
       return pol ? n : NodeManager::currentNM()->mkNode( EQUAL, n, NodeManager::currentNM()->mkConst( true ) ).notNode();
     }
@@ -338,7 +339,7 @@ Node Trigger::getIsUsableTrigger( Node n, Node q ) {
 }
 
 bool Trigger::isUsableAtomicTrigger( Node n, Node q ) {
-  return quantifiers::TermDb::getInstConstAttr( n )==q && isAtomicTrigger( n ) && isUsable( n, q );
+  return quantifiers::TermUtil::getInstConstAttr( n )==q && isAtomicTrigger( n ) && isUsable( n, q );
 }
 
 bool Trigger::isUsableTrigger( Node n, Node q ){
@@ -366,7 +367,7 @@ bool Trigger::isRelationalTriggerKind( Kind k ) {
 }
   
 bool Trigger::isCbqiKind( Kind k ) {
-  if( quantifiers::TermDb::isBoolConnective( k ) || k==PLUS || k==GEQ || k==EQUAL || k==MULT ){
+  if( quantifiers::TermUtil::isBoolConnective( k ) || k==PLUS || k==GEQ || k==EQUAL || k==MULT ){
     return true;
   }else{
     //CBQI typically works for satisfaction-complete theories
@@ -378,13 +379,13 @@ bool Trigger::isCbqiKind( Kind k ) {
 bool Trigger::isSimpleTrigger( Node n ){
   Node t = n.getKind()==NOT ? n[0] : n;
   if( t.getKind()==EQUAL ){
-    if( !quantifiers::TermDb::hasInstConstAttr( t[1] ) ){
+    if( !quantifiers::TermUtil::hasInstConstAttr( t[1] ) ){
       t = t[0];
     }
   }
   if( isAtomicTrigger( t ) ){
     for( unsigned i=0; i<t.getNumChildren(); i++ ){
-      if( t[i].getKind()!=INST_CONSTANT && quantifiers::TermDb::hasInstConstAttr(t[i]) ){
+      if( t[i].getKind()!=INST_CONSTANT && quantifiers::TermUtil::hasInstConstAttr(t[i]) ){
         return false;
       }
     }
@@ -425,14 +426,14 @@ void Trigger::collectPatTerms2( Node q, Node n, std::map< Node, std::vector< Nod
         Trace("auto-gen-trigger-debug2") << "...found usable trigger : " << nu << std::endl;
         Node reqEq;
         if( nu.getKind()==EQUAL ){
-          if( isAtomicTrigger( nu[0] ) && !quantifiers::TermDb::hasInstConstAttr(nu[1]) ){
+          if( isAtomicTrigger( nu[0] ) && !quantifiers::TermUtil::hasInstConstAttr(nu[1]) ){
             if( hasPol ){
               reqEq = nu[1];
             }
             nu = nu[0];
           }
         }
-        Assert( reqEq.isNull() || !quantifiers::TermDb::hasInstConstAttr( reqEq ) );
+        Assert( reqEq.isNull() || !quantifiers::TermUtil::hasInstConstAttr( reqEq ) );
         Assert( isUsableTrigger( nu, q ) );
         //tinfo.find( nu )==tinfo.end()
         Trace("auto-gen-trigger-debug2") << "...add usable trigger : " << nu << std::endl;
@@ -510,7 +511,7 @@ bool Trigger::isBooleanTermTrigger( Node n ) {
 }
 
 bool Trigger::isPureTheoryTrigger( Node n ) {
-  if( n.getKind()==APPLY_UF || n.getKind()==VARIABLE || n.getKind()==SKOLEM ){  //|| !quantifiers::TermDb::hasInstConstAttr( n ) ){
+  if( n.getKind()==APPLY_UF || n.getKind()==VARIABLE || n.getKind()==SKOLEM ){  //|| !quantifiers::TermUtil::hasInstConstAttr( n ) ){
     return false;
   }else{
     for( unsigned i=0; i<n.getNumChildren(); i++ ){
@@ -529,7 +530,7 @@ int Trigger::getTriggerWeight( Node n ) {
     if( options::relationalTriggers() ){
       if( isRelationalTrigger( n ) ){
         for( unsigned i=0; i<2; i++ ){
-          if( n[i].getKind()==INST_CONSTANT && !quantifiers::TermDb::hasInstConstAttr( n[1-i] ) ){
+          if( n[i].getKind()==INST_CONSTANT && !quantifiers::TermUtil::hasInstConstAttr( n[1-i] ) ){
             return 0;
           }
         }
@@ -581,7 +582,7 @@ void Trigger::collectPatTerms( Node q, Node n, std::vector< Node >& patTerms, qu
     collectPatTerms( q, n, patTerms2, quantifiers::TRIGGER_SEL_ALL, exclude, tinfo2, false );
     std::vector< Node > temp;
     temp.insert( temp.begin(), patTerms2.begin(), patTerms2.end() );
-    quantifiers::TermDb::filterInstances( temp );
+    quantifiers::TermUtil::filterInstances( temp );
     if( temp.size()!=patTerms2.size() ){
       Trace("trigger-filter-instance") << "Filtered an instance: " << std::endl;
       Trace("trigger-filter-instance") << "Old: ";
@@ -625,7 +626,7 @@ Node Trigger::getInversionVariable( Node n ) {
   }else if( n.getKind()==PLUS || n.getKind()==MULT ){
     Node ret;
     for( unsigned i=0; i<n.getNumChildren(); i++ ){
-      if( quantifiers::TermDb::hasInstConstAttr(n[i]) ){
+      if( quantifiers::TermUtil::hasInstConstAttr(n[i]) ){
         if( ret.isNull() ){
           ret = getInversionVariable( n[i] );
           if( ret.isNull() ){
@@ -664,7 +665,7 @@ Node Trigger::getInversion( Node n, Node x ) {
   }else if( n.getKind()==PLUS || n.getKind()==MULT ){
     int cindex = -1;
     for( unsigned i=0; i<n.getNumChildren(); i++ ){
-      if( !quantifiers::TermDb::hasInstConstAttr(n[i]) ){
+      if( !quantifiers::TermUtil::hasInstConstAttr(n[i]) ){
         if( n.getKind()==PLUS ){
           x = NodeManager::currentNM()->mkNode( MINUS, x, n[i] );
         }else if( n.getKind()==MULT ){
@@ -702,7 +703,7 @@ void Trigger::getTriggerVariables( Node icn, Node q, std::vector< Node >& t_vars
   collectPatTerms( q, icn, patTerms, quantifiers::TRIGGER_SEL_ALL, exclude, tinfo );
   //collect all variables from all patterns in patTerms, add to t_vars
   for( unsigned i=0; i<patTerms.size(); i++ ){
-    quantifiers::TermDb::getVarContainsNode( q, patTerms[i], t_vars );
+    quantifiers::TermUtil::getVarContainsNode( q, patTerms[i], t_vars );
   }
 }
 
diff --git a/src/theory/quantifiers_engine.cpp b/src/theory/quantifiers_engine.cpp
index 2d1ae7983..0e10dfe54 100644
--- a/src/theory/quantifiers_engine.cpp
+++ b/src/theory/quantifiers_engine.cpp
@@ -26,6 +26,7 @@
 #include "theory/quantifiers/ce_guided_instantiation.h"
 #include "theory/quantifiers/ceg_t_instantiator.h"
 #include "theory/quantifiers/conjecture_generator.h"
+#include "theory/quantifiers/equality_query.h"
 #include "theory/quantifiers/first_order_model.h"
 #include "theory/quantifiers/full_model_check.h"
 #include "theory/quantifiers/fun_def_engine.h"
@@ -34,12 +35,15 @@
 #include "theory/quantifiers/instantiation_engine.h"
 #include "theory/quantifiers/local_theory_ext.h"
 #include "theory/quantifiers/model_engine.h"
+#include "theory/quantifiers/quantifiers_attributes.h"
 #include "theory/quantifiers/quant_conflict_find.h"
 #include "theory/quantifiers/quant_equality_engine.h"
 #include "theory/quantifiers/quantifiers_rewriter.h"
 #include "theory/quantifiers/relevant_domain.h"
 #include "theory/quantifiers/rewrite_engine.h"
 #include "theory/quantifiers/term_database.h"
+#include "theory/quantifiers/term_database_sygus.h"
+#include "theory/quantifiers/term_util.h"
 #include "theory/quantifiers/trigger.h"
 #include "theory/quantifiers/quant_split.h"
 #include "theory/quantifiers/anti_skolem.h"
@@ -74,11 +78,21 @@ QuantifiersEngine::QuantifiersEngine(context::Context* c, context::UserContext*
     d_presolve_cache_wq(u),
     d_presolve_cache_wic(u){
   //utilities
-  d_eq_query = new EqualityQueryQuantifiersEngine( c, this );
+  d_eq_query = new quantifiers::EqualityQueryQuantifiersEngine( c, this );
   d_util.push_back( d_eq_query );
 
   d_term_db = new quantifiers::TermDb( c, u, this );
   d_util.push_back( d_term_db );
+  
+  d_term_util = new quantifiers::TermUtil( this );
+  
+  if (options::ceGuidedInst()) {
+    d_sygus_tdb = new quantifiers::TermDbSygus(c, this);
+  }else{
+    d_sygus_tdb = NULL;
+  }
+  
+  d_quant_attr = new quantifiers::QuantAttributes( this );
 
   if( options::instPropagate() ){
     // notice that this option is incompatible with options::qcfAllConflict()
@@ -88,6 +102,12 @@ QuantifiersEngine::QuantifiersEngine(context::Context* c, context::UserContext*
   }else{
     d_inst_prop = NULL;
   }
+  
+  if( options::inferArithTriggerEq() ){
+    d_eq_inference = new quantifiers::EqualityInference( c, options::inferArithTriggerEqExp() );
+  }else{
+    d_eq_inference = NULL;
+  }
 
   d_tr_trie = new inst::TriggerTrie;
   d_curr_effort_level = QEFFORT_NONE;
@@ -95,7 +115,7 @@ QuantifiersEngine::QuantifiersEngine(context::Context* c, context::UserContext*
   d_hasAddedLemma = false;
   d_useModelEe = false;
   //don't add true lemma
-  d_lemmas_produced_c[d_term_db->d_true] = true;
+  d_lemmas_produced_c[d_term_util->d_true] = true;
 
   Trace("quant-engine-debug") << "Initialize quantifiers engine." << std::endl;
   Trace("quant-engine-debug") << "Initialize model, mbqi : " << options::mbqiMode() << std::endl;
@@ -166,6 +186,9 @@ QuantifiersEngine::~QuantifiersEngine(){
   delete d_model;
   delete d_tr_trie;
   delete d_term_db;
+  delete d_sygus_tdb;
+  delete d_term_util;
+  delete d_eq_inference;
   delete d_eq_query;
   delete d_sg_gen;
   delete d_ceg_inst;
@@ -179,7 +202,7 @@ QuantifiersEngine::~QuantifiersEngine(){
   delete d_inst_prop;
 }
 
-EqualityQueryQuantifiersEngine* QuantifiersEngine::getEqualityQuery() {
+EqualityQuery* QuantifiersEngine::getEqualityQuery() {
   return d_eq_query;
 }
 
@@ -337,7 +360,7 @@ bool QuantifiersEngine::isFiniteBound( Node q, Node v ) {
     TypeNode tn = v.getType();
     if( tn.isSort() && options::finiteModelFind() ){
       return true;
-    }else if( getTermDatabase()->mayComplete( tn ) ){
+    }else if( getTermUtil()->mayComplete( tn ) ){
       return true;
     }
   }
@@ -717,9 +740,16 @@ bool QuantifiersEngine::registerQuantifier( Node f ){
       d_quants[f] = false;
       return false;
     }else{
-      //make instantiation constants for f
-      d_term_db->makeInstantiationConstantsFor( f );
-      d_term_db->computeAttributes( f );
+      // register with utilities : TODO (#1163) make this a standard call
+      
+      d_term_util->registerQuantifier( f );
+      d_term_db->registerQuantifier( f );
+      d_quant_attr->computeAttributes( f );
+      //register with quantifier relevance
+      if( d_quant_rel ){
+        d_quant_rel->registerQuantifier( f );
+      }
+      
       for( unsigned i=0; i<d_modules.size(); i++ ){
         Trace("quant-debug") << "pre-register with " << d_modules[i]->identify() << "..." << std::endl;
         d_modules[i]->preRegisterQuantifier( f );
@@ -728,17 +758,13 @@ bool QuantifiersEngine::registerQuantifier( Node f ){
       if( qm!=NULL ){
         Trace("quant") << "   Owner : " << qm->identify() << std::endl;
       }
-      //register with quantifier relevance
-      if( d_quant_rel ){
-        d_quant_rel->registerQuantifier( f );
-      }
       //register with each module
       for( unsigned i=0; i<d_modules.size(); i++ ){
         Trace("quant-debug") << "register with " << d_modules[i]->identify() << "..." << std::endl;
         d_modules[i]->registerQuantifier( f );
       }
       //TODO: remove this
-      Node ceBody = d_term_db->getInstConstantBody( f );
+      Node ceBody = d_term_util->getInstConstantBody( f );
       //also register it with the strong solver
       //if( options::finiteModelFind() ){
       //  ((uf::TheoryUF*)d_te->theoryOf( THEORY_UF ))->getStrongSolver()->registerQuantifier( f );
@@ -767,7 +793,7 @@ void QuantifiersEngine::assertQuantifier( Node f, bool pol ){
     if( !reduceQuantifier( f ) ){
       //do skolemization
       if( d_skolemized.find( f )==d_skolemized.end() ){
-        Node body = d_term_db->getSkolemizedBody( f );
+        Node body = d_term_util->getSkolemizedBody( f );
         NodeBuilder<> nb(kind::OR);
         nb << f << body.notNode();
         Node lem = nb;
@@ -787,7 +813,7 @@ void QuantifiersEngine::assertQuantifier( Node f, bool pol ){
       for( unsigned i=0; i<d_modules.size(); i++ ){
         d_modules[i]->assertNode( f );
       }
-      addTermToDatabase( d_term_db->getInstConstantBody( f ), true );
+      addTermToDatabase( d_term_util->getInstConstantBody( f ), true );
     }
   }
 }
@@ -813,10 +839,6 @@ Node QuantifiersEngine::getNextDecisionRequest( unsigned& priority ){
   return dec;
 }
 
-quantifiers::TermDbSygus* QuantifiersEngine::getTermDatabaseSygus() {
-  return getTermDatabase()->getTermDatabaseSygus();
-}
-
 void QuantifiersEngine::addTermToDatabase( Node n, bool withinQuant, bool withinInstClosure ){
   if( options::incrementalSolving() ){
     if( d_presolve_in.find( n )==d_presolve_in.end() ){
@@ -844,14 +866,14 @@ void QuantifiersEngine::addTermToDatabase( Node n, bool withinQuant, bool within
 
 void QuantifiersEngine::eqNotifyNewClass(TNode t) {
   addTermToDatabase( t );
-  if( d_eq_query->getEqualityInference() ){
-    d_eq_query->getEqualityInference()->eqNotifyNewClass( t );
+  if( d_eq_inference ){
+    d_eq_inference->eqNotifyNewClass( t );
   }
 }
 
 void QuantifiersEngine::eqNotifyPreMerge(TNode t1, TNode t2) {
-  if( d_eq_query->getEqualityInference() ){
-    d_eq_query->getEqualityInference()->eqNotifyMerge( t1, t2 );
+  if( d_eq_inference ){
+    d_eq_inference->eqNotifyMerge( t1, t2 );
   }
 }
 
@@ -947,7 +969,7 @@ Node QuantifiersEngine::getSubstitute( Node n, std::vector< Node >& terms, std::
       Debug("check-inst") << "Substitute inst constant : " << n << std::endl;
       ret = terms[n.getAttribute(InstVarNumAttribute())];
     }else{
-      //if( !quantifiers::TermDb::hasInstConstAttr( n ) ){
+      //if( !quantifiers::TermUtil::hasInstConstAttr( n ) ){
         //Debug("check-inst") << "No inst const attr : " << n << std::endl;
         //return n;
       //}else{
@@ -998,7 +1020,7 @@ Node QuantifiersEngine::getInstantiation( Node q, std::vector< Node >& vars, std
       body = q[ 1 ].substitute( vars.begin(), vars.end(), terms.begin(), terms.end() );
     }else{
       //do optimized version
-      Node icb = d_term_db->getInstConstantBody( q );
+      Node icb = d_term_util->getInstConstantBody( q );
       std::map< Node, Node > visited;
       body = getSubstitute( icb, terms, visited );
       if( Debug.isOn("check-inst") ){
@@ -1013,7 +1035,7 @@ Node QuantifiersEngine::getInstantiation( Node q, std::vector< Node >& vars, std
     //do virtual term substitution
     body = Rewriter::rewrite( body );
     Trace("quant-vts-debug") << "Rewrite vts symbols in " << body << std::endl;
-    Node body_r = d_term_db->rewriteVtsSymbols( body );
+    Node body_r = d_term_util->rewriteVtsSymbols( body );
     Trace("quant-vts-debug") << "            ...result: " << body_r << std::endl;
     body = body_r;
   }
@@ -1028,8 +1050,8 @@ Node QuantifiersEngine::getInstantiation( Node q, InstMatch& m, bool doVts ){
 }
 
 Node QuantifiersEngine::getInstantiation( Node q, std::vector< Node >& terms, bool doVts ) {
-  Assert( d_term_db->d_vars.find( q )!=d_term_db->d_vars.end() );
-  return getInstantiation( q, d_term_db->d_vars[q], terms, doVts );
+  Assert( d_term_util->d_vars.find( q )!=d_term_util->d_vars.end() );
+  return getInstantiation( q, d_term_util->d_vars[q], terms, doVts );
 }
 
 /*
@@ -1114,7 +1136,7 @@ bool QuantifiersEngine::addInstantiation( Node q, std::vector< Node >& terms, bo
       terms[i] = getInternalRepresentative( terms[i], q, i );
     }else{
       //ensure the type is correct
-      terms[i] = quantifiers::TermDb::ensureType( terms[i], q[0][i].getType() );
+      terms[i] = quantifiers::TermUtil::ensureType( terms[i], q[0][i].getType() );
     }
     Trace("inst-add-debug") << " -> " << terms[i] << std::endl;
     if( terms[i].isNull() ){
@@ -1123,24 +1145,24 @@ bool QuantifiersEngine::addInstantiation( Node q, std::vector< Node >& terms, bo
     }else{
       //get relevancy conditions
       if( options::instRelevantCond() ){
-        quantifiers::TermDb::getRelevancyCondition( terms[i], rlv_cond );
+        quantifiers::TermUtil::getRelevancyCondition( terms[i], rlv_cond );
       }
     }
 #ifdef CVC4_ASSERTIONS
     bool bad_inst = false;
-    if( quantifiers::TermDb::containsUninterpretedConstant( terms[i] ) ){
+    if( quantifiers::TermUtil::containsUninterpretedConstant( terms[i] ) ){
       Trace("inst") << "***& inst contains uninterpreted constant : " << terms[i] << std::endl;
       bad_inst = true;
     }else if( !terms[i].getType().isSubtypeOf( q[0][i].getType() ) ){
       Trace("inst") << "***& inst bad type : " << terms[i] << " " << terms[i].getType() << "/" << q[0][i].getType() << std::endl;
       bad_inst = true;
     }else if( options::cbqi() ){
-      Node icf = quantifiers::TermDb::getInstConstAttr(terms[i]);
+      Node icf = quantifiers::TermUtil::getInstConstAttr(terms[i]);
       if( !icf.isNull() ){
         if( icf==q ){
           Trace("inst") << "***& inst contains inst constant attr : " << terms[i] << std::endl;
           bad_inst = true;
-        }else if( quantifiers::TermDb::containsTerms( terms[i], d_term_db->d_inst_constants[q] ) ){
+        }else if( quantifiers::TermUtil::containsTerms( terms[i], d_term_util->d_inst_constants[q] ) ){
           Trace("inst") << "***& inst contains inst constants : " << terms[i] << std::endl;
           bad_inst = true;
         }
@@ -1193,8 +1215,8 @@ bool QuantifiersEngine::addInstantiation( Node q, std::vector< Node >& terms, bo
 
   //construct the instantiation
   Trace("inst-add-debug") << "Constructing instantiation..." << std::endl;
-  Assert( d_term_db->d_vars[q].size()==terms.size() );
-  Node body = getInstantiation( q, d_term_db->d_vars[q], terms, doVts );  //do virtual term substitution
+  Assert( d_term_util->d_vars[q].size()==terms.size() );
+  Node body = getInstantiation( q, d_term_util->d_vars[q], terms, doVts );  //do virtual term substitution
   Node orig_body = body;
   if( options::cbqiNestedQE() && d_i_cbqi ){
     body = d_i_cbqi->doNestedQE( q, terms, body, doVts );
@@ -1208,7 +1230,7 @@ bool QuantifiersEngine::addInstantiation( Node q, std::vector< Node >& terms, bo
   
   if( d_useModelEe && options::instNoModelTrue() ){
     Node val_body = d_model->getValue( body );
-    if( val_body==d_term_db->d_true ){
+    if( val_body==d_term_util->d_true ){
       Trace("inst-add-debug") << " --> True in model." << std::endl;
       ++(d_statistics.d_inst_duplicate_model_true);
       return false;
@@ -1495,9 +1517,9 @@ void QuantifiersEngine::printInstantiations( std::ostream& out ) {
     printed = true;
     out << "(skolem " << q << std::endl;
     out << "  ( ";
-    for( unsigned i=0; i<d_term_db->d_skolem_constants[q].size(); i++ ){
+    for( unsigned i=0; i<d_term_util->d_skolem_constants[q].size(); i++ ){
       if( i>0 ){ out << " "; }
-      out << d_term_db->d_skolem_constants[q][i];
+      out << d_term_util->d_skolem_constants[q][i];
     }
     out << " )" << std::endl;
     out << ")" << std::endl;
@@ -1595,7 +1617,7 @@ Node QuantifiersEngine::getInstantiatedConjunction( Node q ) {
     }
     //have to remove q, TODO: avoid this in a better way
     TNode tq = q;
-    TNode tt = d_term_db->d_true;
+    TNode tt = d_term_util->d_true;
     ret = ret.substitute( tq, tt );
     return ret;
   }
@@ -1739,313 +1761,3 @@ void QuantifiersEngine::debugPrintEqualityEngine( const char * c ) {
   }
 }
 
-
-EqualityQueryQuantifiersEngine::EqualityQueryQuantifiersEngine( context::Context* c, QuantifiersEngine* qe ) : d_qe( qe ), d_eqi_counter( c ), d_reset_count( 0 ){
-  if( options::inferArithTriggerEq() ){
-    d_eq_inference = new quantifiers::EqualityInference( c, options::inferArithTriggerEqExp() );
-  }else{
-    d_eq_inference = NULL;
-  }
-}
-
-EqualityQueryQuantifiersEngine::~EqualityQueryQuantifiersEngine(){
-  delete d_eq_inference;
-}
-
-bool EqualityQueryQuantifiersEngine::reset( Theory::Effort e ){
-  d_int_rep.clear();
-  d_reset_count++;
-  return processInferences( e );
-}
-
-bool EqualityQueryQuantifiersEngine::processInferences( Theory::Effort e ) {
-  if( options::inferArithTriggerEq() ){
-    eq::EqualityEngine* ee = getEngine();
-    //updated implementation
-    while( d_eqi_counter.get()<d_eq_inference->getNumPendingMerges() ){
-      Node eq = d_eq_inference->getPendingMerge( d_eqi_counter.get() );
-      Node eq_exp = d_eq_inference->getPendingMergeExplanation( d_eqi_counter.get() );
-      Trace("quant-engine-ee-proc") << "processInferences : Infer : " << eq << std::endl;
-      Trace("quant-engine-ee-proc") << "      explanation : " << eq_exp << std::endl;
-      Assert( ee->hasTerm( eq[0] ) );
-      Assert( ee->hasTerm( eq[1] ) );
-      if( areDisequal( eq[0], eq[1] ) ){
-        Trace("quant-engine-ee-proc") << "processInferences : Conflict : " << eq << std::endl;
-        if( Trace.isOn("term-db-lemma") ){
-          Trace("term-db-lemma") << "Disequal terms, equal by normalization : " << eq[0] << " " << eq[1] << "!!!!" << std::endl;
-          if( !d_qe->getTheoryEngine()->needCheck() ){
-            Trace("term-db-lemma") << "  all theories passed with no lemmas." << std::endl;
-            //this should really never happen (implies arithmetic is incomplete when sharing is enabled)
-            Assert( false );
-          }
-          Trace("term-db-lemma") << "  add split on : " << eq << std::endl;
-        }
-        d_qe->addSplit( eq );
-        return false;
-      }else{
-        ee->assertEquality( eq, true, eq_exp );
-        d_eqi_counter = d_eqi_counter.get() + 1;
-      }
-    }
-    Assert( ee->consistent() );
-  }
-  return true;
-}
-
-bool EqualityQueryQuantifiersEngine::hasTerm( Node a ){
-  return getEngine()->hasTerm( a );
-}
-
-Node EqualityQueryQuantifiersEngine::getRepresentative( Node a ){
-  eq::EqualityEngine* ee = getEngine();
-  if( ee->hasTerm( a ) ){
-    return ee->getRepresentative( a );
-  }else{
-    return a;
-  }
-}
-
-bool EqualityQueryQuantifiersEngine::areEqual( Node a, Node b ){
-  if( a==b ){
-    return true;
-  }else{
-    eq::EqualityEngine* ee = getEngine();
-    if( ee->hasTerm( a ) && ee->hasTerm( b ) ){
-      return ee->areEqual( a, b );
-    }else{
-      return false;
-    }
-  }
-}
-
-bool EqualityQueryQuantifiersEngine::areDisequal( Node a, Node b ){
-  if( a==b ){
-    return false;
-  }else{
-    eq::EqualityEngine* ee = getEngine();
-    if( ee->hasTerm( a ) && ee->hasTerm( b ) ){
-      return ee->areDisequal( a, b, false );
-    }else{
-      return a.isConst() && b.isConst();
-    }
-  }
-}
-
-Node EqualityQueryQuantifiersEngine::getInternalRepresentative( Node a, Node f, int index ){
-  Assert( f.isNull() || f.getKind()==FORALL );
-  Node r = getRepresentative( a );
-  if( options::finiteModelFind() ){
-    if( r.isConst() && quantifiers::TermDb::containsUninterpretedConstant( r ) ){
-      //map back from values assigned by model, if any
-      if( d_qe->getModel() ){
-        std::map< Node, Node >::iterator it = d_qe->getModel()->d_rep_set.d_values_to_terms.find( r );
-        if( it!=d_qe->getModel()->d_rep_set.d_values_to_terms.end() ){
-          r = it->second;
-          r = getRepresentative( r );
-        }else{
-          if( r.getType().isSort() ){
-            Trace("internal-rep-warn") << "No representative for UF constant." << std::endl;
-            //should never happen : UF constants should never escape model
-            Assert( false );
-          }
-        }
-      }
-    }
-  }
-  if( options::quantRepMode()==quantifiers::QUANT_REP_MODE_EE ){
-    return r;
-  }else{
-    TypeNode v_tn = f.isNull() ? a.getType() : f[0][index].getType();
-    std::map< Node, Node >::iterator itir = d_int_rep[v_tn].find( r );
-    if( itir==d_int_rep[v_tn].end() ){
-      //find best selection for representative
-      Node r_best;
-      //if( options::fmfRelevantDomain() && !f.isNull() ){
-      //  Trace("internal-rep-debug") << "Consult relevant domain to mkRep " << r << std::endl;
-      //  r_best = d_qe->getRelevantDomain()->getRelevantTerm( f, index, r );
-      //  Trace("internal-rep-debug") << "Returned " << r_best << " " << r << std::endl;
-      //}
-      std::vector< Node > eqc;
-      getEquivalenceClass( r, eqc );
-      Trace("internal-rep-select") << "Choose representative for equivalence class : { ";
-      for( unsigned i=0; i<eqc.size(); i++ ){
-        if( i>0 ) Trace("internal-rep-select") << ", ";
-        Trace("internal-rep-select") << eqc[i];
-      }
-      Trace("internal-rep-select")  << " }, type = " << v_tn << std::endl;
-      int r_best_score = -1;
-      for( size_t i=0; i<eqc.size(); i++ ){
-        int score = getRepScore( eqc[i], f, index, v_tn );
-        if( score!=-2 ){
-          if( r_best.isNull() || ( score>=0 && ( r_best_score<0 || score<r_best_score ) ) ){
-            r_best = eqc[i];
-            r_best_score = score;
-          }
-        }
-      }
-      if( r_best.isNull() ){
-        Trace("internal-rep-warn") << "No valid choice for representative in eqc class." << std::endl;
-        r_best = r;
-      }
-      //now, make sure that no other member of the class is an instance
-      std::unordered_map<TNode, Node, TNodeHashFunction> cache;
-      r_best = getInstance( r_best, eqc, cache );
-      //store that this representative was chosen at this point
-      if( d_rep_score.find( r_best )==d_rep_score.end() ){
-        d_rep_score[ r_best ] = d_reset_count;
-      }
-      Trace("internal-rep-select") << "...Choose " << r_best << " with score " << r_best_score << std::endl;
-      Assert( r_best.getType().isSubtypeOf( v_tn ) );
-      d_int_rep[v_tn][r] = r_best;
-      if( r_best!=a ){
-        Trace("internal-rep-debug") << "rep( " << a << " ) = " << r << ", " << std::endl;
-        Trace("internal-rep-debug") << "int_rep( " << a << " ) = " << r_best << ", " << std::endl;
-      }
-      return r_best;
-    }else{
-      return itir->second;
-    }
-  }
-}
-
-void EqualityQueryQuantifiersEngine::flattenRepresentatives( std::map< TypeNode, std::vector< Node > >& reps ) {
-  //make sure internal representatives currently exist
-  for( std::map< TypeNode, std::vector< Node > >::iterator it = reps.begin(); it != reps.end(); ++it ){
-    if( it->first.isSort() ){
-      for( unsigned i=0; i<it->second.size(); i++ ){
-        Node r = getInternalRepresentative( it->second[i], Node::null(), 0 );
-      }
-    }
-  }
-  Trace("internal-rep-flatten") << "---Flattening representatives : " << std::endl;
-  for( std::map< TypeNode, std::map< Node, Node > >::iterator itt = d_int_rep.begin(); itt != d_int_rep.end(); ++itt ){
-    for( std::map< Node, Node >::iterator it = itt->second.begin(); it != itt->second.end(); ++it ){
-      Trace("internal-rep-flatten") << itt->first << " : irep( " << it->first << " ) = " << it->second << std::endl;
-    }
-  }
-  //store representatives for newly created terms
-  std::map< Node, Node > temp_rep_map;
-
-  bool success;
-  do {
-    success = false;
-    for( std::map< TypeNode, std::map< Node, Node > >::iterator itt = d_int_rep.begin(); itt != d_int_rep.end(); ++itt ){
-      for( std::map< Node, Node >::iterator it = itt->second.begin(); it != itt->second.end(); ++it ){
-        if( it->second.getKind()==APPLY_UF && it->second.getType().isSort() ){
-          Node ni = it->second;
-          std::vector< Node > cc;
-          cc.push_back( it->second.getOperator() );
-          bool changed = false;
-          for( unsigned j=0; j<ni.getNumChildren(); j++ ){
-            if( ni[j].getType().isSort() ){
-              Node r = getRepresentative( ni[j] );
-              if( itt->second.find( r )==itt->second.end() ){
-                Assert( temp_rep_map.find( r )!=temp_rep_map.end() );
-                r = temp_rep_map[r];
-              }
-              if( r==ni ){
-                //found sub-term as instance
-                Trace("internal-rep-flatten-debug") << "...Changed " << it->second << " to subterm " << ni[j] << std::endl;
-                itt->second[it->first] = ni[j];
-                changed = false;
-                success = true;
-                break;
-              }else{
-                Node ir = itt->second[r];
-                cc.push_back( ir );
-                if( ni[j]!=ir ){
-                  changed = true;
-                }
-              }
-            }else{
-              changed = false;
-              break;
-            }
-          }
-          if( changed ){
-            Node n = NodeManager::currentNM()->mkNode( APPLY_UF, cc );
-            Trace("internal-rep-flatten-debug") << "...Changed " << it->second << " to " << n << std::endl;
-            success = true;
-            itt->second[it->first] = n;
-            temp_rep_map[n] = it->first;
-          }
-        }
-      }
-    }
-  }while( success );
-  Trace("internal-rep-flatten") << "---After flattening : " << std::endl;
-  for( std::map< TypeNode, std::map< Node, Node > >::iterator itt = d_int_rep.begin(); itt != d_int_rep.end(); ++itt ){
-    for( std::map< Node, Node >::iterator it = itt->second.begin(); it != itt->second.end(); ++it ){
-      Trace("internal-rep-flatten") << itt->first << " : irep( " << it->first << " ) = " << it->second << std::endl;
-    }
-  }
-}
-
-eq::EqualityEngine* EqualityQueryQuantifiersEngine::getEngine(){
-  return d_qe->getActiveEqualityEngine();
-}
-
-void EqualityQueryQuantifiersEngine::getEquivalenceClass( Node a, std::vector< Node >& eqc ){
-  eq::EqualityEngine* ee = getEngine();
-  if( ee->hasTerm( a ) ){
-    Node rep = ee->getRepresentative( a );
-    eq::EqClassIterator eqc_iter( rep, ee );
-    while( !eqc_iter.isFinished() ){
-      eqc.push_back( *eqc_iter );
-      eqc_iter++;
-    }
-  }else{
-    eqc.push_back( a );
-  }
-  //a should be in its equivalence class
-  Assert( std::find( eqc.begin(), eqc.end(), a )!=eqc.end() );
-}
-
-TNode EqualityQueryQuantifiersEngine::getCongruentTerm( Node f, std::vector< TNode >& args ) {
-  return d_qe->getTermDatabase()->getCongruentTerm( f, args );
-}
-
-//helper functions
-
-Node EqualityQueryQuantifiersEngine::getInstance( Node n, const std::vector< Node >& eqc, std::unordered_map<TNode, Node, TNodeHashFunction>& cache ){
-  if(cache.find(n) != cache.end()) {
-    return cache[n];
-  }
-  for( size_t i=0; i<n.getNumChildren(); i++ ){
-    Node nn = getInstance( n[i], eqc, cache );
-    if( !nn.isNull() ){
-      return cache[n] = nn;
-    }
-  }
-  if( std::find( eqc.begin(), eqc.end(), n )!=eqc.end() ){
-    return cache[n] = n;
-  }else{
-    return cache[n] = Node::null();
-  }
-}
-
-//-2 : invalid, -1 : undesired, otherwise : smaller the score, the better
-int EqualityQueryQuantifiersEngine::getRepScore( Node n, Node f, int index, TypeNode v_tn ){
-  if( options::cbqi() && quantifiers::TermDb::hasInstConstAttr(n) ){  //reject
-    return -2;
-  }else if( !n.getType().isSubtypeOf( v_tn ) ){  //reject if incorrect type
-    return -2;
-  }else if( options::lteRestrictInstClosure() && ( !d_qe->getTermDatabase()->isInstClosure( n ) || !d_qe->getTermDatabase()->hasTermCurrent( n, false ) ) ){
-    return -1;
-  }else if( options::instMaxLevel()!=-1 ){
-    //score prefer lowest instantiation level
-    if( n.hasAttribute(InstLevelAttribute()) ){
-      return n.getAttribute(InstLevelAttribute());
-    }else{
-      return options::instLevelInputOnly() ? -1 : 0;
-    }
-  }else{
-    if( options::quantRepMode()==quantifiers::QUANT_REP_MODE_FIRST ){
-      //score prefers earliest use of this term as a representative
-      return d_rep_score.find( n )==d_rep_score.end() ? -1 : d_rep_score[n];
-    }else{
-      Assert( options::quantRepMode()==quantifiers::QUANT_REP_MODE_DEPTH );
-      return quantifiers::TermDb::getTermDepth( n );
-    }
-  }
-}
diff --git a/src/theory/quantifiers_engine.h b/src/theory/quantifiers_engine.h
index 443bbd643..c72038659 100644
--- a/src/theory/quantifiers_engine.h
+++ b/src/theory/quantifiers_engine.h
@@ -52,10 +52,14 @@ namespace quantifiers {
   //utilities
   class TermDb;
   class TermDbSygus;
+  class TermUtil;
   class FirstOrderModel;
+  class QuantAttributes;
   class RelevantDomain;
   class BvInverter;
   class InstPropagator;
+  class EqualityInference;
+  class EqualityQueryQuantifiersEngine;
   //modules, these are "subsolvers" of the quantifiers theory.
   class InstantiationEngine;
   class ModelEngine;
@@ -81,8 +85,6 @@ namespace inst {
   class TriggerTrie;
 }/* CVC4::theory::inst */
 
-//class EfficientEMatcher;
-class EqualityQueryQuantifiersEngine;
 
 class QuantifiersEngine {
   friend class quantifiers::InstantiationEngine;
@@ -106,7 +108,9 @@ private:
   /** instantiation notify */
   std::vector< InstantiationNotify* > d_inst_notify;
   /** equality query class */
-  EqualityQueryQuantifiersEngine* d_eq_query;
+  quantifiers::EqualityQueryQuantifiersEngine* d_eq_query;
+  /** equality inference class */
+  quantifiers::EqualityInference* d_eq_inference;
   /** for computing relevance of quantifiers */
   QuantRelevance * d_quant_rel;
   /** relevant domain */
@@ -191,6 +195,12 @@ private:
   BoolMap d_skolemized;
   /** term database */
   quantifiers::TermDb* d_term_db;
+  /** term database */
+  quantifiers::TermDbSygus* d_sygus_tdb;
+  /** term utilities */
+  quantifiers::TermUtil* d_term_util;
+  /** quantifiers attributes */
+  quantifiers::QuantAttributes* d_quant_attr;
   /** all triggers will be stored in this trie */
   inst::TriggerTrie* d_tr_trie;
   /** extended model object */
@@ -219,7 +229,9 @@ public:
   /** get theory engine */
   TheoryEngine* getTheoryEngine() { return d_te; }
   /** get equality query */
-  EqualityQueryQuantifiersEngine* getEqualityQuery();
+  EqualityQuery* getEqualityQuery();
+  /** get the equality inference */
+  quantifiers::EqualityInference* getEqualityInference() { return d_eq_inference; }
   /** get default sat context for quantifiers engine */
   context::Context* getSatContext();
   /** get default sat context for quantifiers engine */
@@ -363,7 +375,11 @@ public:
   /** get term database */
   quantifiers::TermDb* getTermDatabase() { return d_term_db; }
   /** get term database sygus */
-  quantifiers::TermDbSygus* getTermDatabaseSygus();
+  quantifiers::TermDbSygus * getTermDatabaseSygus() { return d_sygus_tdb; }
+  /** get term utilities */
+  quantifiers::TermUtil* getTermUtil() { return d_term_util; }
+  /** get quantifiers attributes */
+  quantifiers::QuantAttributes* getQuantAttributes() { return d_quant_attr; }
   /** get trigger database */
   inst::TriggerTrie* getTriggerDatabase() { return d_tr_trie; }
   /** add term to database */
@@ -435,56 +451,6 @@ public:
   Statistics d_statistics;
 };/* class QuantifiersEngine */
 
-
-
-/** equality query object using theory engine */
-class EqualityQueryQuantifiersEngine : public EqualityQuery
-{
-private:
-  /** pointer to theory engine */
-  QuantifiersEngine* d_qe;
-  /** quantifiers equality inference */
-  quantifiers::EqualityInference * d_eq_inference;
-  context::CDO< unsigned > d_eqi_counter;
-  /** internal representatives */
-  std::map< TypeNode, std::map< Node, Node > > d_int_rep;
-  /** rep score */
-  std::map< Node, int > d_rep_score;
-  /** reset count */
-  int d_reset_count;
-
-  /** processInferences : will merge equivalence classes in master equality engine, if possible */
-  bool processInferences( Theory::Effort e );
-  /** node contains */
-  Node getInstance( Node n, const std::vector< Node >& eqc, std::unordered_map<TNode, Node, TNodeHashFunction>& cache );
-  /** get score */
-  int getRepScore( Node n, Node f, int index, TypeNode v_tn );
-  /** flatten representatives */
-  void flattenRepresentatives( std::map< TypeNode, std::vector< Node > >& reps );
-public:
-  EqualityQueryQuantifiersEngine( context::Context* c, QuantifiersEngine* qe );
-  virtual ~EqualityQueryQuantifiersEngine();
-  /** reset */
-  bool reset( Theory::Effort e );
-  /** identify */
-  std::string identify() const { return "EqualityQueryQE"; }
-  /** general queries about equality */
-  bool hasTerm( Node a );
-  Node getRepresentative( Node a );
-  bool areEqual( Node a, Node b );
-  bool areDisequal( Node a, Node b );
-  eq::EqualityEngine* getEngine();
-  void getEquivalenceClass( Node a, std::vector< Node >& eqc );
-  TNode getCongruentTerm( Node f, std::vector< TNode >& args );
-  /** getInternalRepresentative gets the current best representative in the equivalence class of a, based on some criteria.
-      If cbqi is active, this will return a term in the equivalence class of "a" that does
-      not contain instantiation constants, if such a term exists.
-   */
-  Node getInternalRepresentative( Node a, Node f, int index );
-  /** get quantifiers equality inference */
-  quantifiers::EqualityInference * getEqualityInference() { return d_eq_inference; }
-}; /* EqualityQueryQuantifiersEngine */
-
 }/* CVC4::theory namespace */
 }/* CVC4 namespace */
 
diff --git a/src/theory/rep_set.cpp b/src/theory/rep_set.cpp
index cd1fac290..303e65eff 100644
--- a/src/theory/rep_set.cpp
+++ b/src/theory/rep_set.cpp
@@ -15,7 +15,7 @@
 #include "theory/rep_set.h"
 #include "theory/type_enumerator.h"
 #include "theory/quantifiers/bounded_integers.h"
-#include "theory/quantifiers/term_database.h"
+#include "theory/quantifiers/term_util.h"
 #include "theory/quantifiers/first_order_model.h"
 
 using namespace std;
@@ -183,7 +183,7 @@ bool RepSetIterator::initialize( RepBoundExt* rext ){
         // terms in rep_set are now constants which mapped to terms through TheoryModel
         // thus, should introduce a constant and a term.  for now, just a term.
 
-        //Node c = d_qe->getTermDatabase()->getEnumerateTerm( tn, 0 );
+        //Node c = d_qe->getTermUtil()->getEnumerateTerm( tn, 0 );
         Node var = d_qe->getModel()->getSomeDomainElement( tn );
         Trace("mkVar") << "RepSetIterator:: Make variable " << var << " : " << tn << std::endl;
         d_rep_set->add( tn, var );
@@ -208,7 +208,7 @@ bool RepSetIterator::initialize( RepBoundExt* rext ){
     }
     if( !tn.isSort() ){
       if( inc ){
-        if( d_qe->getTermDatabase()->mayComplete( tn ) ){
+        if( d_qe->getTermUtil()->mayComplete( tn ) ){
           Trace("rsi") << "  do complete, since cardinality is small (" << tn.getCardinality() << ")..." << std::endl;
           d_rep_set->complete( tn );
           //must have succeeded
@@ -242,7 +242,7 @@ bool RepSetIterator::initialize( RepBoundExt* rext ){
     for( unsigned i=0; i<d_qe->getBoundedIntegers()->getNumBoundVars( d_owner ); i++ ){
       Node v = d_qe->getBoundedIntegers()->getBoundVar( d_owner, i );
       Trace("bound-int-rsi") << "  bound var #" << i << " is " << v << std::endl;
-      varOrder.push_back( d_qe->getTermDatabase()->getVariableNum( d_owner, v ) );
+      varOrder.push_back( d_qe->getTermUtil()->getVariableNum( d_owner, v ) );
     }
     for( unsigned i=0; i<d_owner[0].getNumChildren(); i++) {
       if( !d_qe->getBoundedIntegers()->isBoundVar(d_owner, d_owner[0][i])) {
diff --git a/src/theory/sep/theory_sep.cpp b/src/theory/sep/theory_sep.cpp
index 93d4124d9..92ecc0393 100644
--- a/src/theory/sep/theory_sep.cpp
+++ b/src/theory/sep/theory_sep.cpp
@@ -26,6 +26,7 @@
 #include "smt/logic_exception.h"
 #include "theory/quantifiers_engine.h"
 #include "theory/quantifiers/term_database.h"
+#include "theory/quantifiers/term_util.h"
 #include "options/quantifiers_options.h"
 
 using namespace std;
@@ -816,10 +817,10 @@ Node TheorySep::getNextDecisionRequest( unsigned& priority ) {
     if( getLogicInfo().isQuantified() ){
       Assert( d_guard_to_assertion.find( g )!= d_guard_to_assertion.end() );
       Node a = d_guard_to_assertion[g];
-      Node q = quantifiers::TermDb::getInstConstAttr( a );
+      Node q = quantifiers::TermUtil::getInstConstAttr( a );
       if( !q.isNull() ){
         //must wait to decide on counterexample literal from quantified formula
-        Node cel = getQuantifiersEngine()->getTermDatabase()->getCounterexampleLiteral( q );
+        Node cel = getQuantifiersEngine()->getTermUtil()->getCounterexampleLiteral( q );
         bool value;
         if( d_valuation.hasSatValue( cel, value ) ){
           Trace("sep-dec-debug") << "TheorySep::getNextDecisionRequest : dependent guard " << g << " depends on value for guard for quantified formula : " << value << std::endl;
@@ -925,7 +926,7 @@ int TheorySep::processAssertion( Node n, std::map< int, std::map< Node, int > >&
       TypeNode tn1 = n[0].getType();
       TypeNode tn2 = n[1].getType();
       registerRefDataTypes( tn1, tn2, n );
-      if( quantifiers::TermDb::hasBoundVarAttr( n[0] ) ){
+      if( quantifiers::TermUtil::hasBoundVarAttr( n[0] ) ){
         if( d_bound_kind[tn1]!=bound_strict && d_bound_kind[tn1]!=bound_invalid ){
           if( options::quantEpr() && n[0].getKind()==kind::BOUND_VARIABLE ){
             // still valid : bound on heap models will include Herbrand universe of n[0].getType()
diff --git a/src/theory/uf/theory_uf_model.cpp b/src/theory/uf/theory_uf_model.cpp
index b7572eaa1..1b7437a7e 100644
--- a/src/theory/uf/theory_uf_model.cpp
+++ b/src/theory/uf/theory_uf_model.cpp
@@ -19,7 +19,7 @@
 
 #include "expr/attribute.h"
 #include "options/quantifiers_options.h"
-#include "theory/quantifiers/term_database.h"
+#include "theory/quantifiers/term_util.h"
 #include "theory/theory_engine.h"
 #include "theory/uf/equality_engine.h"
 #include "theory/uf/theory_uf.h"
diff --git a/src/theory/uf/theory_uf_rewriter.h b/src/theory/uf/theory_uf_rewriter.h
index db2f735c6..c45dd4833 100644
--- a/src/theory/uf/theory_uf_rewriter.h
+++ b/src/theory/uf/theory_uf_rewriter.h
@@ -170,7 +170,7 @@ public: //conversion between HO_APPLY AND APPLY_UF
    * Then, f and g can be used as APPLY_UF operators, but (ite C f g), (lambda x1. (f x1)) as well as the variable x above are not.
    */
   static inline bool canUseAsApplyUfOperator(TNode n){
-    return n.isVar() && n.getKind()!=kind::BOUND_VARIABLE;
+    return n.isVar();
   }
 };/* class TheoryUfRewriter */