diff --git a/src/math/lp/hnf_cutter.cpp b/src/math/lp/hnf_cutter.cpp
index 73689057f..ace42ca1c 100644
--- a/src/math/lp/hnf_cutter.cpp
+++ b/src/math/lp/hnf_cutter.cpp
@@ -127,16 +127,7 @@ namespace lp  {
                 t += H[l][k]*row[l];
             }
             row[k] = -t / H[k][k]; 
-        }
-
-        // // test region
-        // vector<mpq> ei(H.row_count(), zero_of_type<mpq>());
-        // ei[i] = one_of_type<mpq>();
-        // vector<mpq> pr = row * H;
-        // pr.shrink(ei.size());
-        // lp_assert(ei == pr);
-        // // end test region
-        
+        }        
     }
 
     void hnf_cutter::fill_term(const vector<mpq> & row, lar_term& t) {
@@ -220,7 +211,6 @@ namespace lp  {
         }
     }
 
-
     bool hnf_cutter::hnf_has_var_with_non_integral_value() const {
         for (unsigned j : vars())
             if (!lia.get_value(j).is_int())
diff --git a/src/math/lp/int_solver.cpp b/src/math/lp/int_solver.cpp
index b9ceaa1ae..e8b01c8b6 100644
--- a/src/math/lp/int_solver.cpp
+++ b/src/math/lp/int_solver.cpp
@@ -17,6 +17,7 @@ namespace lp {
 
 int_solver::int_solver(lar_solver& lar_slv) :
     lra(lar_slv),
+    lrac(lra.m_mpq_lar_core_solver),
     m_number_of_calls(0),
     m_hnf_cutter(*this),
     m_hnf_cut_period(settings().hnf_cut_period()) {
@@ -26,15 +27,17 @@ int_solver::int_solver(lar_solver& lar_slv) :
 // this will allow to enable and disable tracking of the pivot rows
 struct check_return_helper {
     lar_solver&      lra;
+    lar_core_solver& lrac;
     bool             m_track_pivoted_rows;
     check_return_helper(lar_solver& ls) :
         lra(ls),
+        lrac(ls.m_mpq_lar_core_solver),
         m_track_pivoted_rows(lra.get_track_pivoted_rows()) {
-        TRACE("pivoted_rows", tout << "pivoted rows = " << lra.m_mpq_lar_core_solver.m_r_solver.m_pivoted_rows->size() << std::endl;);
+        TRACE("pivoted_rows", tout << "pivoted rows = " << lrac.m_r_solver.m_pivoted_rows->size() << std::endl;);
         lra.set_track_pivoted_rows(false);
     }
     ~check_return_helper() {
-        TRACE("pivoted_rows", tout << "pivoted rows = " << lra.m_mpq_lar_core_solver.m_r_solver.m_pivoted_rows->size() << std::endl;);
+        TRACE("pivoted_rows", tout << "pivoted rows = " << lrac.m_r_solver.m_pivoted_rows->size() << std::endl;);
         lra.set_track_pivoted_rows(m_track_pivoted_rows);
     }
 };
@@ -82,7 +85,7 @@ std::ostream& int_solver::display_inf_rows(std::ostream& out) const {
     
     num = 0;
     for (unsigned i = 0; i < lra.A_r().row_count(); i++) {
-        unsigned j = lra.m_mpq_lar_core_solver.m_r_basis[i];
+        unsigned j = lrac.m_r_basis[i];
         if (column_is_int_inf(j)) {
             num++;
             lra.print_row(lra.A_r().m_rows[i], out);
@@ -94,7 +97,7 @@ std::ostream& int_solver::display_inf_rows(std::ostream& out) const {
 }
 
 bool int_solver::current_solution_is_inf_on_cut() const {
-    const auto & x = lra.m_mpq_lar_core_solver.m_r_x;
+    const auto & x = lrac.m_r_x;
     impq v = m_t.apply(x);
     mpq sign = m_upper ? one_of_type<mpq>()  : -one_of_type<mpq>();
     CTRACE("current_solution_is_inf_on_cut", v * sign <= impq(m_k) * sign,
@@ -141,7 +144,7 @@ bool int_solver::value_is_int(unsigned j) const {
 }    
 
 unsigned int_solver::random() {
-    return lra.get_core_solver().settings().random_next();
+    return settings().random_next();
 }
 
 const impq& int_solver::upper_bound(unsigned j) const {
@@ -189,7 +192,7 @@ lia_move int_solver::hnf_cut() {
 
 void int_solver::set_value_for_nbasic_column_ignore_old_values(unsigned j, const impq & new_val) {
     lp_assert(!is_base(j));
-    auto & x = lra.m_mpq_lar_core_solver.m_r_x[j];
+    auto & x = lrac.m_r_x[j];
     auto delta = new_val - x;
     x = new_val;
     TRACE("int_solver", tout << "x[" << j << "] = " << x << "\n";);
@@ -197,8 +200,7 @@ void int_solver::set_value_for_nbasic_column_ignore_old_values(unsigned j, const
 }
 
 void int_solver::patch_nbasic_column(unsigned j) {
-    auto & lcs = lra.m_mpq_lar_core_solver; 
-    impq & val = lcs.m_r_x[j];
+    impq & val = lrac.m_r_x[j];
     bool inf_l, inf_u;
     impq l, u;
     mpq m;
@@ -243,7 +245,7 @@ void int_solver::patch_nbasic_column(unsigned j) {
 lia_move int_solver::patch_nbasic_columns() {
     settings().stats().m_patches++;
     lp_assert(is_feasible());
-    for (unsigned j : lra.m_mpq_lar_core_solver.m_r_nbasis) {
+    for (unsigned j : lrac.m_r_nbasis) {
         patch_nbasic_column(j);
     }
     lp_assert(is_feasible());
@@ -256,7 +258,7 @@ lia_move int_solver::patch_nbasic_columns() {
 
 
 bool int_solver::has_lower(unsigned j) const {
-    switch (lra.m_mpq_lar_core_solver.m_column_types()[j]) {
+    switch (lrac.m_column_types()[j]) {
     case column_type::fixed:
     case column_type::boxed:
     case column_type::lower_bound:
@@ -267,7 +269,7 @@ bool int_solver::has_lower(unsigned j) const {
 }
 
 bool int_solver::has_upper(unsigned j) const {
-    switch (lra.m_mpq_lar_core_solver.m_column_types()[j]) {
+    switch (lrac.m_column_types()[j]) {
     case column_type::fixed:
     case column_type::boxed:
     case column_type::upper_bound:
@@ -292,8 +294,7 @@ static void set_upper(impq & u, bool & inf_u, impq const & v) {
 }
 
 bool int_solver::get_freedom_interval_for_column(unsigned j, bool & inf_l, impq & l, bool & inf_u, impq & u, mpq & m) {
-    auto & lcs = lra.m_mpq_lar_core_solver;
-    if (lcs.m_r_heading[j] >= 0) // the basic var 
+    if (lrac.m_r_heading[j] >= 0) // the basic var 
         return false;
 
     TRACE("random_update", display_column(tout, j) << ", is_int = " << column_is_int(j) << "\n";);
@@ -318,7 +319,7 @@ bool int_solver::get_freedom_interval_for_column(unsigned j, bool & inf_l, impq
     for (const auto &c : A.column(j)) {
         row_index = c.var();
         const mpq & a = c.coeff();        
-        unsigned i = lcs.m_r_basis[row_index];
+        unsigned i = lrac.m_r_basis[row_index];
         TRACE("random_update", tout << "i = " << i << ", a = " << a << "\n";); 
         if (column_is_int(i) && !a.is_int())
             m = lcm(m, denominator(a));
@@ -329,7 +330,7 @@ bool int_solver::get_freedom_interval_for_column(unsigned j, bool & inf_l, impq
         if (!inf_l && !inf_u && l >= u) break;                
         row_index = c.var();
         const mpq & a = c.coeff();        
-        unsigned i = lcs.m_r_basis[row_index];
+        unsigned i = lrac.m_r_basis[row_index];
         impq const & xi = get_value(i);
 
 #define SET_BOUND(_fn_, a, b, x, y, z)                                  \
@@ -345,18 +346,18 @@ bool int_solver::get_freedom_interval_for_column(unsigned j, bool & inf_l, impq
         
         if (a.is_neg()) {
             if (has_lower(i)) {
-                SET_BOUND(set_lower, l, inf_l, a, xi, lcs.m_r_lower_bounds()[i]);
+                SET_BOUND(set_lower, l, inf_l, a, xi, lrac.m_r_lower_bounds()[i]);
             }
             if (has_upper(i)) {
-                SET_BOUND(set_upper, u, inf_u, a, xi, lcs.m_r_upper_bounds()[i]);
+                SET_BOUND(set_upper, u, inf_u, a, xi, lrac.m_r_upper_bounds()[i]);
             }
         }
         else {
             if (has_upper(i)) {
-                SET_BOUND(set_lower, l, inf_l, a, xi, lcs.m_r_upper_bounds()[i]);
+                SET_BOUND(set_lower, l, inf_l, a, xi, lrac.m_r_upper_bounds()[i]);
             }
             if (has_lower(i)) {
-                SET_BOUND(set_upper, u, inf_u, a, xi, lcs.m_r_lower_bounds()[i]);
+                SET_BOUND(set_upper, u, inf_u, a, xi, lrac.m_r_lower_bounds()[i]);
             }
         }
         ++rounds;
@@ -381,18 +382,18 @@ bool int_solver::get_freedom_interval_for_column(unsigned j, bool & inf_l, impq
 
 
 bool int_solver::is_feasible() const {
-    auto & lcs = lra.m_mpq_lar_core_solver;
     lp_assert(
-        lcs.m_r_solver.calc_current_x_is_feasible_include_non_basis() ==
-        lcs.m_r_solver.current_x_is_feasible());
-    return lcs.m_r_solver.current_x_is_feasible();
+        lrac.m_r_solver.calc_current_x_is_feasible_include_non_basis() ==
+        lrac.m_r_solver.current_x_is_feasible());
+    return lrac.m_r_solver.current_x_is_feasible();
 }
+
 const impq & int_solver::get_value(unsigned j) const {
-    return lra.m_mpq_lar_core_solver.m_r_x[j];
+    return lrac.m_r_x[j];
 }
 
 std::ostream& int_solver::display_column(std::ostream & out, unsigned j) const {
-    return lra.m_mpq_lar_core_solver.m_r_solver.print_column_info(j, out);
+    return lrac.m_r_solver.print_column_info(j, out);
     return out;
 }
 
@@ -401,23 +402,23 @@ bool int_solver::column_is_int_inf(unsigned j) const {
 }
 
 bool int_solver::is_base(unsigned j) const {
-    return lra.m_mpq_lar_core_solver.m_r_heading[j] >= 0;
+    return lrac.m_r_heading[j] >= 0;
 }
 
 bool int_solver::is_boxed(unsigned j) const {
-    return lra.m_mpq_lar_core_solver.m_column_types[j] == column_type::boxed;
+    return lrac.m_column_types[j] == column_type::boxed;
 }
 
 bool int_solver::is_fixed(unsigned j) const {
-    return lra.m_mpq_lar_core_solver.m_column_types[j] == column_type::fixed;
+    return lrac.m_column_types[j] == column_type::fixed;
 }
 
 bool int_solver::is_free(unsigned j) const {
-    return lra.m_mpq_lar_core_solver.m_column_types[j] == column_type::free_column;
+    return lrac.m_column_types[j] == column_type::free_column;
 }
 
 bool int_solver::at_bound(unsigned j) const {
-    auto & mpq_solver = lra.m_mpq_lar_core_solver.m_r_solver;
+    auto & mpq_solver = lrac.m_r_solver;
     switch (mpq_solver.m_column_types[j] ) {
     case column_type::fixed:
     case column_type::boxed:
@@ -434,7 +435,7 @@ bool int_solver::at_bound(unsigned j) const {
 }
 
 bool int_solver::at_lower(unsigned j) const {
-    auto & mpq_solver = lra.m_mpq_lar_core_solver.m_r_solver;
+    auto & mpq_solver = lrac.m_r_solver;
     switch (mpq_solver.m_column_types[j] ) {
     case column_type::fixed:
     case column_type::boxed:
@@ -446,7 +447,7 @@ bool int_solver::at_lower(unsigned j) const {
 }
 
 bool int_solver::at_upper(unsigned j) const {
-    auto & mpq_solver = lra.m_mpq_lar_core_solver.m_r_solver;
+    auto & mpq_solver = lrac.m_r_solver;
     switch (mpq_solver.m_column_types[j] ) {
     case column_type::fixed:
     case column_type::boxed:
@@ -458,7 +459,7 @@ bool int_solver::at_upper(unsigned j) const {
 }
 
 void int_solver::display_row_info(std::ostream & out, unsigned row_index) const  {
-    auto & rslv = lra.m_mpq_lar_core_solver.m_r_solver;
+    auto & rslv = lrac.m_r_solver;
     for (const auto &c: rslv.m_A.m_rows[row_index]) {
         if (numeric_traits<mpq>::is_pos(c.coeff()))
             out << "+";
@@ -524,20 +525,19 @@ bool int_solver::shift_var(unsigned j, unsigned range) {
 }
 
 bool int_solver::non_basic_columns_are_at_bounds() const {
-    auto & lcs = lra.m_mpq_lar_core_solver;
-    for (unsigned j :lcs.m_r_nbasis) {
-        auto & val = lcs.m_r_x[j];
-        switch (lcs.m_column_types()[j]) {
+    for (unsigned j : lrac.m_r_nbasis) {
+        auto & val = lrac.m_r_x[j];
+        switch (lrac.m_column_types()[j]) {
         case column_type::boxed:
-            if (val != lcs.m_r_lower_bounds()[j] && val != lcs.m_r_upper_bounds()[j])
+            if (val != lrac.m_r_lower_bounds()[j] && val != lrac.m_r_upper_bounds()[j])
                 return false;
             break;
         case column_type::lower_bound:
-            if (val != lcs.m_r_lower_bounds()[j])
+            if (val != lrac.m_r_lower_bounds()[j])
                 return false;
             break;
         case column_type::upper_bound:
-            if (val != lcs.m_r_upper_bounds()[j])
+            if (val != lrac.m_r_upper_bounds()[j])
                 return false;
             break;
         default:
diff --git a/src/math/lp/int_solver.h b/src/math/lp/int_solver.h
index 154f59ab4..b9e904e8e 100644
--- a/src/math/lp/int_solver.h
+++ b/src/math/lp/int_solver.h
@@ -29,6 +29,7 @@ Revision History:
 
 namespace lp {
 class lar_solver;
+class lar_core_solver;
 
 class int_solver {
     friend class create_cut;
@@ -39,6 +40,7 @@ class int_solver {
     friend class hnf_cutter;
 
     lar_solver&         lra;
+    lar_core_solver&    lrac;
     unsigned            m_number_of_calls;
     lar_term            m_t;               // the term to return in the cut
     mpq                 m_k;               // the right side of the cut
diff --git a/src/sat/sat_aig_cuts.cpp b/src/sat/sat_aig_cuts.cpp
index 7c2968145..63e643c45 100644
--- a/src/sat/sat_aig_cuts.cpp
+++ b/src/sat/sat_aig_cuts.cpp
@@ -29,7 +29,7 @@ namespace sat {
     }
 
     vector<cut_set> const& aig_cuts::operator()() {
-        if (true || m_config.m_full) flush_roots();
+        if (m_config.m_full) flush_roots();
         unsigned_vector node_ids = filter_valid_nodes();
         TRACE("aig_simplifier", display(tout););
         augment(node_ids);
@@ -412,7 +412,7 @@ namespace sat {
     }
 
     bool aig_cuts::insert_aux(unsigned v, node const& n) {
-        if (false && !m_config.m_full) return false;
+        if (!m_config.m_full) return false;
         unsigned num_gt = 0, num_eq = 0;
         for (node const& n2 : m_aig[v]) {
             if (eq(n, n2)) return false;
diff --git a/src/sat/sat_aig_cuts.h b/src/sat/sat_aig_cuts.h
index 9587230cf..c74923209 100644
--- a/src/sat/sat_aig_cuts.h
+++ b/src/sat/sat_aig_cuts.h
@@ -63,7 +63,7 @@ namespace sat {
             unsigned m_max_aux;
             unsigned m_max_insertions;
             bool     m_full;
-        config(): m_max_cutset_size(20), m_max_aux(5), m_max_insertions(20), m_full(false) {}
+        config(): m_max_cutset_size(20), m_max_aux(5), m_max_insertions(20), m_full(true) {}
         };
     private:
 
diff --git a/src/sat/sat_aig_simplifier.cpp b/src/sat/sat_aig_simplifier.cpp
index c7d53a280..66005a0f7 100644
--- a/src/sat/sat_aig_simplifier.cpp
+++ b/src/sat/sat_aig_simplifier.cpp
@@ -228,17 +228,18 @@ namespace sat {
         xf.set(on_xor);
         xf(clauses);
 
+        if (m_config.m_enable_lut) {
+            std::function<void(uint64_t, bool_var_vector const&, bool_var)> on_lut = 
+                [&,this](uint64_t lut, bool_var_vector const& vars, bool_var v) {
+                m_stats.m_xluts++;
+                m_aig_cuts.add_cut(v, lut, vars);
+            };
+            lut_finder lf(s);
+            lf.set(on_lut);
+            lf(clauses);
+        }
+
 #if 0
-        std::function<void(uint64_t, bool_var_vector const&, bool_var)> on_lut = 
-            [&,this](uint64_t lut, bool_var_vector const& vars, bool_var v) {
-            m_stats.m_xluts++;
-            m_aig_cuts.add_cut(v, lut, vars);
-        };
-        lut_finder lf(s);
-        lf.set(on_lut);
-        lf(clauses);
-
-
         statistics st;
         collect_statistics(st);
         st.display(std::cout);
diff --git a/src/sat/sat_aig_simplifier.h b/src/sat/sat_aig_simplifier.h
index 69462e4ee..f6047dd14 100644
--- a/src/sat/sat_aig_simplifier.h
+++ b/src/sat/sat_aig_simplifier.h
@@ -36,6 +36,7 @@ namespace sat {
         struct config {
             bool m_enable_units;            // enable learning units
             bool m_enable_dont_cares;       // enable applying don't cares to LUTs
+            bool m_enable_lut;              // enable lut finding
             bool m_learn_implies;           // learn binary clauses
             bool m_learned2aig;             // add learned clauses to AIGs used by cut-set enumeration
             bool m_validate_cuts;           // enable direct validation of generated cuts
@@ -44,11 +45,12 @@ namespace sat {
             config():
                 m_enable_units(true),
                 m_enable_dont_cares(true),
+                m_enable_lut(false),
                 m_learn_implies(false),
                 m_learned2aig(true),
                 m_validate_cuts(false), 
                 m_validate_lemmas(false),
-                m_simulate_eqs(true) {}
+                m_simulate_eqs(false) {}
         };
     private:
         struct report;
diff --git a/src/sat/sat_solver.cpp b/src/sat/sat_solver.cpp
index 1b82969be..ad9638a3d 100644
--- a/src/sat/sat_solver.cpp
+++ b/src/sat/sat_solver.cpp
@@ -1930,7 +1930,7 @@ namespace sat {
             anf.collect_statistics(m_aux_stats);
             // TBD: throttle anf_delay based on yield
         }
-
+        
         if (m_aig_simplifier && m_simplifications > m_config.m_aig_delay && !inconsistent()) {
             (*m_aig_simplifier)();
         }
diff --git a/src/smt/smt_theory.cpp b/src/smt/smt_theory.cpp
index 642c0aca8..f11b7ccd1 100644
--- a/src/smt/smt_theory.cpp
+++ b/src/smt/smt_theory.cpp
@@ -105,7 +105,7 @@ namespace smt {
             out << ")";
         }
         else {
-            out << "#" << n->get_id();
+            out << mk_bounded_pp(n, get_manager(), 1);
         }
         return out;
     }
diff --git a/src/smt/theory_arith_core.h b/src/smt/theory_arith_core.h
index 1cbee1b5a..b5ad96fe7 100644
--- a/src/smt/theory_arith_core.h
+++ b/src/smt/theory_arith_core.h
@@ -1369,7 +1369,7 @@ namespace smt {
 
     template<typename Ext>
     void theory_arith<Ext>::internalize_eq_eh(app * atom, bool_var v) {
-        expr* _lhs, *_rhs;
+        expr* _lhs = nullptr, *_rhs = nullptr;
         if (m_params.m_arith_eager_eq_axioms && get_manager().is_eq(atom, _lhs, _rhs) && is_app(_lhs) && is_app(_rhs)) {
             context & ctx  = get_context();
             app * lhs      = to_app(_lhs);
diff --git a/src/smt/theory_lra.cpp b/src/smt/theory_lra.cpp
index 4d8019879..150b6c6df 100644
--- a/src/smt/theory_lra.cpp
+++ b/src/smt/theory_lra.cpp
@@ -1088,6 +1088,13 @@ public:
         if (is_arith(n1) && is_arith(n2) && n1 != n2) {
             m_arith_eq_adapter.mk_axioms(n1, n2);
         }
+        // internalization of ite expressions produces equalities of the form
+        // (= x (ite c x y)) and (= y (ite c x y))
+        // this step ensures that a shared enode is attached
+        // with the ite expression.
+        else if (m.is_ite(lhs) || m.is_ite(rhs)) {
+            m_arith_eq_adapter.mk_axioms(n1, n2);
+        }
     }
 
     void assign_eh(bool_var v, bool is_true) {
@@ -1134,6 +1141,7 @@ public:
     }
 
     void apply_sort_cnstr(enode* n, sort*) {
+        TRACE("arith", tout << "sort constraint: " << mk_pp(n->get_owner(), m) << "\n";);
         if (!th.is_attached_to_var(n)) {
             theory_var v = mk_var(n->get_owner(), false);
             register_theory_var_in_lar_solver(v);