diff --git a/src/constraint_solver/expr_cst.cc b/src/constraint_solver/expr_cst.cc
index 87d7066b7d..24bf905fa1 100644
--- a/src/constraint_solver/expr_cst.cc
+++ b/src/constraint_solver/expr_cst.cc
@@ -379,6 +379,15 @@ IntVar* Solver::MakeIsEqualCstVar(IntVar* const var, int64 value) {
   if (value == 0 && IsADifference(var, &left, &right)) {
     return MakeIsEqualVar(left, right);
   }
+  if (var->Max() - var->Min() == 1) {
+    if (value == var->Min()) {
+      return MakeDifference(value + 1, var)->Var();
+    } else if (value == var->Max()) {
+      return MakeSum(var, -value + 1)->Var();
+    } else {
+      return MakeIntConst(0);
+    }
+  }
   return var->IsEqual(value);
 }
 
diff --git a/src/flatzinc/parser.cc b/src/flatzinc/parser.cc
index cff164d820..2a3764dc67 100644
--- a/src/flatzinc/parser.cc
+++ b/src/flatzinc/parser.cc
@@ -129,7 +129,7 @@ void ParserState::ComputeViableTarget(
              id == "array_bool_element" ||
              id == "int_lin_eq_reif" ||
              id == "int_eq_reif" ||
-             id == "int_ne_reif",
+             id == "int_ne_reif" ||
              id == "bool_eq_reif" ||
              id == "bool_ne_reif") {
     // Defines a bool var.