diff --git a/src/math/lp/dioph_eq.cpp b/src/math/lp/dioph_eq.cpp
index ebbada137..d335e9a25 100644
--- a/src/math/lp/dioph_eq.cpp
+++ b/src/math/lp/dioph_eq.cpp
@@ -233,6 +233,11 @@ namespace lp {
                 t += mpq(-1) * b;
                 return t.c() == mpq(0) && t.size() == 0;
             }
+
+            friend bool operator!=(const term_o& a, const term_o& b) {
+                return ! (a  == b);
+            }
+
 #endif
             term_o& operator+=(const term_o& t) {
                 for (const auto& p : t) {
@@ -1358,8 +1363,9 @@ namespace lp {
                 enable_trace("dio");
                 TRACE("dio", tout << "ls:"; print_term_o(ls, tout) << "\n";
                       tout << "rs:"; print_term_o(rs, tout) << "\n";);
+                return false;
             }
-            return ls == rs;
+            return true;
         }
         
         void subs_with_S_and_fresh(protected_queue& q) {
diff --git a/src/math/lp/lar_solver.cpp b/src/math/lp/lar_solver.cpp
index b87c7ae0b..cb564b897 100644
--- a/src/math/lp/lar_solver.cpp
+++ b/src/math/lp/lar_solver.cpp
@@ -2504,6 +2504,24 @@ namespace lp {
     // Otherwise the new asserted lower bound is is greater than the existing upper bound.
     // dep is the reason for the new bound
 
+    void lar_solver::write_bound_lemma_to_file(unsigned j, bool is_low, const std::string & file_name) const {
+        std::ofstream file(file_name);
+        if (!file.is_open()) {
+            // Handle file open error
+            std::cerr << "Failed to open file: " << file_name << std::endl;
+            return;
+        }
+    
+        write_bound_lemma(j, is_low, file);
+        file.close();
+    
+        if (file.fail()) {
+            std::cerr << "Error occurred while writing to file: " << file_name << std::endl;
+        } else {
+            std::cout << "Bound lemma written to " << file_name << std::endl;
+        }
+    }
+
     void lar_solver::set_crossed_bounds_column_and_deps(unsigned j, bool lower_bound, u_dependency* dep) {
         if (m_crossed_bounds_column != null_lpvar) return; // already set
         SASSERT(m_crossed_bounds_deps == nullptr);
@@ -2534,6 +2552,146 @@ namespace lp {
         return out;
     }
 
+    
+
+
+        // Helper function to format constants in SMT2 format
+    std::string format_smt2_constant(const mpq& val) {
+        if (val.is_neg()) {
+            // Negative constant - use unary minus operator
+            return std::string("(- ") + abs(val).to_string() + ")";
+        } else {
+            // Positive or zero constant - write directly
+            return val.to_string();
+        }
+    }
+
+    void lar_solver::write_bound_lemma(unsigned j, bool is_low, std::ostream & out) const {
+        // Get the bound value and dependency
+        mpq bound_val;
+        bool is_strict = false;
+        u_dependency* bound_dep = nullptr;
+    
+        // Get the appropriate bound info
+        if (is_low) {
+            if (!has_lower_bound(j, bound_dep, bound_val, is_strict)) {
+                out << "; Error: Variable " << j << " has no lower bound\n";
+                return;
+            }
+        } else {
+            if (!has_upper_bound(j, bound_dep, bound_val, is_strict)) {
+                out << "; Error: Variable " << j << " has no upper bound\n";
+                return;
+            }
+        }
+    
+        // Start SMT2 file
+        out << "(set-info :source |\n";
+        out << "   Z3 bound lemma for " << (is_low ? "lower" : "upper") << " bound of variable " << j << "\n";
+        out << "   bound value: " << bound_val << (is_strict ? (is_low ? " < " : " > ") : (is_low ? " <= " : " >= ")) << "x" << j << "\n";
+        out << "|)\n\n";
+    
+        // Collect all variables used in dependencies
+        std::unordered_set<unsigned> vars_used;
+        vars_used.insert(j);
+        bool is_int = column_is_int(j);
+        // Linearize the dependencies
+        svector<constraint_index> deps;
+        m_dependencies.linearize(bound_dep, deps);
+    
+        // Collect variables from constraints
+        for (auto ci : deps) {
+            const auto& c = m_constraints[ci];
+            for (const auto& p : c.coeffs()) {
+                vars_used.insert(p.second);
+                if (!column_is_int(p.second))
+                    is_int = false;
+            }
+        }
+            
+        if (is_int) {
+            out << "(set-logic QF_LIA)\n\n";
+        }
+    
+        // Declare variables
+        out << "; Variable declarations\n";
+        for (unsigned var : vars_used) {
+            out << "(declare-const x" << var << " " << (column_is_int(var) ? "Int" : "Real") << ")\n";
+        }
+        out << "\n";
+    
+        // Add assertions for the dependencies
+        out << "; Bound dependencies\n";
+    
+        for (auto ci : deps) {
+            const auto& c = m_constraints[ci];
+            out << "(assert ";
+        
+            // Handle the constraint type and expression
+            auto k = c.kind();
+        
+            // Handle empty constraint (just constant)
+            SASSERT(c.coeffs().size());
+        
+            // Normal constraint with variables
+            switch (k) {
+            case LE: out << "(<= "; break;
+            case LT: out << "(< "; break;
+            case GE: out << "(>= "; break;
+            case GT: out << "(> "; break;
+            case EQ: out << "(= "; break;
+            default: out << "(unknown-constraint-type "; break;
+            }
+        
+            // Left-hand side (variables)
+            if (c.coeffs().size() == 1) {
+                // Single variable
+                auto p = *c.coeffs().begin();
+                if (p.first.is_one()) {
+                    out << "x" << p.second << " ";
+                } else {
+                    out << "(* " << format_smt2_constant(p.first) << " x" << p.second << ") ";
+                }
+            } else {
+                // Multiple variables - create a sum
+                out << "(+ ";
+                for (auto const& p : c.coeffs()) {
+                    if (p.first.is_one()) {
+                        out << "x" << p.second << " ";
+                    } else {
+                        out << "(* " << format_smt2_constant(p.first) << " x" << p.second << ") ";
+                    }
+                }
+                out << ") ";
+            }
+        
+            // Right-hand side (constant)
+            out << format_smt2_constant(c.rhs());
+            out << "))\n";
+        }
+        out << "\n";
+    
+        // Now add the assertion that contradicts the bound
+        out << "; Negation of the derived bound\n";
+        if (is_low) {
+            if (is_strict) {
+                out << "(assert (<= x" << j << " " << format_smt2_constant(bound_val) << "))\n";
+            } else {
+                out << "(assert (< x" << j << " " << format_smt2_constant(bound_val) << "))\n";
+            }
+        } else {
+            if (is_strict) {
+                out << "(assert (>= x" << j << " " << format_smt2_constant(bound_val) << "))\n";
+            } else {
+                out << "(assert (> x" << j << " " << format_smt2_constant(bound_val) << "))\n";
+            }
+        }
+        out << "\n";
+    
+        // Check sat and get model if available
+        out << "(check-sat)\n";
+        out << "(exit)\n";
+    }
 } // namespace lp
 
 
diff --git a/src/math/lp/lar_solver.h b/src/math/lp/lar_solver.h
index 72172abf3..3d95dcf39 100644
--- a/src/math/lp/lar_solver.h
+++ b/src/math/lp/lar_solver.h
@@ -722,6 +722,11 @@ public:
             return 0;
         return m_usage_in_terms[j];
     }
+
+    void write_bound_lemma_to_file(unsigned j, bool is_low, const std::string & file_name) const;
+
+    void write_bound_lemma(unsigned j, bool is_low, std::ostream & out) const;
+
     std::function<void (const indexed_uint_set& columns_with_changed_bound)> m_find_monics_with_changed_bounds_func = nullptr;
     friend int_solver;
     friend int_branch;
diff --git a/src/math/lp/lp_settings.cpp b/src/math/lp/lp_settings.cpp
index cd82e2ed9..90c932b09 100644
--- a/src/math/lp/lp_settings.cpp
+++ b/src/math/lp/lp_settings.cpp
@@ -35,4 +35,5 @@ void lp::lp_settings::updt_params(params_ref const& _p) {
     m_dio_eqs = p.arith_lp_dio_eqs();
     m_dio_enable_gomory_cuts = p.arith_lp_dio_cuts_enable_gomory();
     m_dio_branching_period = p.arith_lp_dio_branching_period();
+    m_dump_bound_lemmas = p.arith_dump_bound_lemmas();
 }
diff --git a/src/math/lp/lp_settings.h b/src/math/lp/lp_settings.h
index 8da93dfcc..cdc95bcb0 100644
--- a/src/math/lp/lp_settings.h
+++ b/src/math/lp/lp_settings.h
@@ -261,7 +261,7 @@ private:
     bool             m_dio_enable_hnf_cuts = true;
     unsigned         m_dio_branching_period = 100; //  do branching rarely
     unsigned         m_dio_report_branch_with_term_tigthening_period = 10000000; // period of reporting the branch with term tigthening
-
+    bool             m_dump_bound_lemmas = false;
 public:
     bool print_external_var_name() const { return m_print_external_var_name; }
     bool propagate_eqs() const { return m_propagate_eqs;}
@@ -279,6 +279,8 @@ public:
         return m_bound_propagation;
     }
 
+    bool dump_bounds_as_lemmas() { return m_dump_bound_lemmas; }
+    
     bool& bound_propagation() { return m_bound_propagation; }
     
     lp_settings() : m_default_resource_limit(*this),
diff --git a/src/smt/params/smt_params_helper.pyg b/src/smt/params/smt_params_helper.pyg
index d45dade50..15641315e 100644
--- a/src/smt/params/smt_params_helper.pyg
+++ b/src/smt/params/smt_params_helper.pyg
@@ -94,6 +94,7 @@ def_module_params(module_name='smt',
                           ('arith.int_eq_branch', BOOL, False, 'branching using derived integer equations'),
                           ('arith.ignore_int', BOOL, False, 'treat integer variables as real'),
                           ('arith.dump_lemmas', BOOL, False, 'dump arithmetic theory lemmas to files'),
+                          ('arith.dump_bound_lemmas', BOOL, False, 'dump linear solver bounds to files in smt2 format'),                          
                           ('arith.greatest_error_pivot', BOOL, False, 'Pivoting strategy'),
                           ('arith.eager_eq_axioms', BOOL, True, 'eager equality axioms'),
                           ('arith.auto_config_simplex', BOOL, False, 'force simplex solver in auto_config'),