diff --git a/src/solvers/refinement/string_refinement.cpp b/src/solvers/refinement/string_refinement.cpp
index 8cec89c46fb..fed05e00478 100644
--- a/src/solvers/refinement/string_refinement.cpp
+++ b/src/solvers/refinement/string_refinement.cpp
@@ -648,20 +648,24 @@ decision_proceduret::resultt string_refinementt::dec_solve()
   output_equations(debug(), equations, ns);
 #endif
 
+  // The object `dependencies` is also used by get, so we have to use it as a
+  // class member but we make sure it is cleared at each `dec_solve` call.
+  dependencies.clear();
   debug() << "dec_solve: compute dependency graph and remove function "
           << "applications captured by the dependencies:" << eom;
-  const auto new_equation_end = std::remove_if(
-    equations.begin(), equations.end(), [&](const equal_exprt &eq) { // NOLINT
-      return add_node(dependencies, eq, generator.array_pool);
-    });
-  equations.erase(new_equation_end, equations.end());
+  std::vector<exprt> local_equations;
+  for(const equal_exprt &eq : equations)
+  {
+    if(!add_node(dependencies, eq, generator.array_pool))
+      local_equations.push_back(eq);
+  }
 
 #ifdef DEBUG
   dependencies.output_dot(debug());
 #endif
 
   debug() << "dec_solve: add constraints" << eom;
- dependencies.add_constraints(generator);
+  dependencies.add_constraints(generator);
 
 #ifdef DEBUG
   output_equations(debug(), equations, ns);
@@ -676,7 +680,7 @@ decision_proceduret::resultt string_refinementt::dec_solve()
   }
 #endif
 
-  for(const auto &eq : equations)
+  for(const auto &eq : local_equations)
   {
 #ifdef DEBUG
     debug() << "dec_solve: set_to " << format(eq) << eom;
diff --git a/src/solvers/refinement/string_refinement_util.cpp b/src/solvers/refinement/string_refinement_util.cpp
index f63ad2b9b0b..47666b93c70 100644
--- a/src/solvers/refinement/string_refinement_util.cpp
+++ b/src/solvers/refinement/string_refinement_util.cpp
@@ -259,6 +259,14 @@ void string_dependenciest::add_dependency(
   });
 }
 
+void string_dependenciest::clear()
+{
+  builtin_function_nodes.clear();
+  string_nodes.clear();
+  node_index_pool.clear();
+  clean_cache();
+}
+
 static void add_dependency_to_string_subexprs(
   string_dependenciest &dependencies,
   const function_application_exprt &fun_app,
diff --git a/src/solvers/refinement/string_refinement_util.h b/src/solvers/refinement/string_refinement_util.h
index fda1d08ac0b..8ec325f9efe 100644
--- a/src/solvers/refinement/string_refinement_util.h
+++ b/src/solvers/refinement/string_refinement_util.h
@@ -254,6 +254,9 @@ class string_dependenciest
   /// only add constraints on the length.
   void add_constraints(string_constraint_generatort &generatort);
 
+  /// Clear the content of the dependency graph
+  void clear();
+
 private:
   /// Set of nodes representing builtin_functions
   std::vector<builtin_function_nodet> builtin_function_nodes;