diff --git a/src/params/smt_parallel_params.pyg b/src/params/smt_parallel_params.pyg
index df7b1b189..53892b066 100644
--- a/src/params/smt_parallel_params.pyg
+++ b/src/params/smt_parallel_params.pyg
@@ -9,5 +9,6 @@ def_module_params('smt_parallel',
                         ('relevant_units_only', BOOL, True, 'only share relvant units'),
                         ('max_conflict_mul', DOUBLE, 1.5, 'increment multiplier for max-conflicts'),
                         ('share_units_initial_only', BOOL, False, 'share only initial Boolean atoms as units'),
-                        ('cube_initial_only', BOOL, False, 'cube only on initial Boolean atoms')
+                        ('cube_initial_only', BOOL, False, 'cube only on initial Boolean atoms'),
+                        ('max_cube_size', UINT, 20, 'maximum size of a cube to share'),
               ))
diff --git a/src/smt/smt_parallel.cpp b/src/smt/smt_parallel.cpp
index cb46725a0..77733e10d 100644
--- a/src/smt/smt_parallel.cpp
+++ b/src/smt/smt_parallel.cpp
@@ -420,6 +420,8 @@ namespace smt {
             for (unsigned i = start; i < stop; ++i) {
                 // copy the last cube so that expanding m_cubes doesn't invalidate reference.
                 auto cube = m_cubes[i];
+                if (cube.size() >= m_config.m_max_cube_size)
+                    continue;
                 m_cubes.push_back(cube);
                 m_cubes.back().push_back(m.mk_not(atom));
                 m_cubes[i].push_back(atom);
@@ -522,6 +524,7 @@ namespace smt {
         m_cubes.reset();
         m_cubes.push_back(expr_ref_vector(m)); // push empty cube
         m_split_atoms.reset();
+        m_config.m_max_cube_size = smt_parallel_params(p.ctx.m_params).max_cube_size();
     }
 
     lbool parallel::operator()(expr_ref_vector const& asms) {
diff --git a/src/smt/smt_parallel.h b/src/smt/smt_parallel.h
index 24e920f57..5309ffa42 100644
--- a/src/smt/smt_parallel.h
+++ b/src/smt/smt_parallel.h
@@ -45,11 +45,15 @@ namespace smt {
                 is_exception_msg,
                 is_exception_code
             };
+            struct config {
+                unsigned m_max_cube_size = 20;
+            };
 
             ast_manager& m;
             parallel& p;
             std::mutex mux;
             state m_state = state::is_running;
+            config m_config;
             expr_ref_vector m_split_atoms; // atoms to split on
             vector<expr_ref_vector> m_cubes;
             unsigned m_max_batch_size = 10;