diff --git a/src/smt/smt_model_checker.cpp b/src/smt/smt_model_checker.cpp
index 255254fe41..72dc51f8f0 100644
--- a/src/smt/smt_model_checker.cpp
+++ b/src/smt/smt_model_checker.cpp
@@ -346,7 +346,8 @@ namespace smt {
             return false;
         TRACE(model_checker, tout << "skolems:\n" << sks << "\n";);
 
-        flet<bool> l(m_aux_context->get_fparams().m_array_fake_support, true);
+        flet<bool> l1(m_aux_context->get_fparams().m_array_fake_support, true);
+        flet<bool> l2(m_aux_context->get_fparams().m_preprocess, true);
         lbool r = m_aux_context->check();
         
         TRACE(model_checker, tout << "[complete] model-checker result: " << to_sat_str(r) << "\n";);
@@ -363,7 +364,8 @@ namespace smt {
         unsigned num_new_instances = 0;
 
         while (true) {
-            flet<bool> l(m_aux_context->get_fparams().m_array_fake_support, true);
+            flet<bool> l1(m_aux_context->get_fparams().m_array_fake_support, true);
+            flet<bool> l2(m_aux_context->get_fparams().m_preprocess, true);
             lbool r = m_aux_context->check();
             TRACE(model_checker, tout << "[restricted] model-checker (" << (num_new_instances+1) << ") result: " << to_sat_str(r) << "\n";);
             if (r != l_true)
diff --git a/src/smt/theory_array_full.cpp b/src/smt/theory_array_full.cpp
index e00f4cff93..4ead9d3cf9 100644
--- a/src/smt/theory_array_full.cpp
+++ b/src/smt/theory_array_full.cpp
@@ -847,14 +847,14 @@ namespace smt {
     bool theory_array_full::has_non_beta_as_array() {
         for (enode* n : m_as_array) {
             for (enode* p : n->get_parents())
-                if (ctx.is_relevant(p) && !ctx.is_beta_redex(p, n)) {
+                if (ctx.is_relevant(p) && !m.is_eq(p->get_expr()) && !ctx.is_beta_redex(p, n)) {
                     TRACE(array, tout << "not a beta redex " << enode_pp(p, ctx) << "\n");
                     return true;
                 }
         }
         for (enode* n : m_lambdas) 
             for (enode* p : n->get_parents())
-                if (ctx.is_relevant(p) && !is_default(p) && !ctx.is_beta_redex(p, n)) {
+                if (ctx.is_relevant(p) && !is_default(p) && !m.is_eq(p->get_expr()) && !ctx.is_beta_redex(p, n)) {
                     TRACE(array, tout << "lambda is not a beta redex " << enode_pp(p, ctx) << "\n");
                     return true;
                 }