diff --git a/contrib/intarray/_int_gist.c b/contrib/intarray/_int_gist.c
index 87c286ee451..5486c7fe72d 100644
--- a/contrib/intarray/_int_gist.c
+++ b/contrib/intarray/_int_gist.c
@@ -96,8 +96,13 @@ g_int_consistent(PG_FUNCTION_ARGS)
 				retval = inner_int_contains(query,
 								  (ArrayType *) DatumGetPointer(entry->key));
 			else
-				retval = inner_int_overlap((ArrayType *) DatumGetPointer(entry->key),
-										   query);
+			{
+				/*
+				 * Unfortunately, because empty arrays could be anywhere in
+				 * the index, we must search the whole tree.
+				 */
+				retval = true;
+			}
 			break;
 		default:
 			retval = FALSE;
diff --git a/contrib/intarray/_intbig_gist.c b/contrib/intarray/_intbig_gist.c
index 6dae7c91c12..f3c1ab764dc 100644
--- a/contrib/intarray/_intbig_gist.c
+++ b/contrib/intarray/_intbig_gist.c
@@ -591,7 +591,13 @@ g_intbig_consistent(PG_FUNCTION_ARGS)
 				}
 			}
 			else
-				retval = _intbig_overlap((GISTTYPE *) DatumGetPointer(entry->key), query);
+			{
+				/*
+				 * Unfortunately, because empty arrays could be anywhere in
+				 * the index, we must search the whole tree.
+				 */
+				retval = true;
+			}
 			break;
 		default:
 			retval = FALSE;
diff --git a/contrib/intarray/expected/_int.out b/contrib/intarray/expected/_int.out
index 962e5c6a4b1..5ca0c8651b2 100644
--- a/contrib/intarray/expected/_int.out
+++ b/contrib/intarray/expected/_int.out
@@ -399,6 +399,18 @@ SELECT count(*) from test__int WHERE a @> '{20,23}';
     12
 (1 row)
 
+SELECT count(*) from test__int WHERE a <@ '{73,23,20}';
+ count 
+-------
+    10
+(1 row)
+
+SELECT count(*) from test__int WHERE a = '{73,23,20}';
+ count 
+-------
+     1
+(1 row)
+
 SELECT count(*) from test__int WHERE a @@ '50&68';
  count 
 -------
@@ -417,6 +429,19 @@ SELECT count(*) from test__int WHERE a @@ '(20&23)|(50&68)';
     21
 (1 row)
 
+SELECT count(*) from test__int WHERE a @@ '20 | !21';
+ count 
+-------
+  6566
+(1 row)
+
+SELECT count(*) from test__int WHERE a @@ '!20 & !21';
+ count 
+-------
+  6343
+(1 row)
+
+SET enable_seqscan = off;  -- not all of these would use index by default
 CREATE INDEX text_idx on test__int using gist ( a gist__int_ops );
 SELECT count(*) from test__int WHERE a && '{23,50}';
  count 
@@ -448,6 +473,18 @@ SELECT count(*) from test__int WHERE a @> '{20,23}';
     12
 (1 row)
 
+SELECT count(*) from test__int WHERE a <@ '{73,23,20}';
+ count 
+-------
+    10
+(1 row)
+
+SELECT count(*) from test__int WHERE a = '{73,23,20}';
+ count 
+-------
+     1
+(1 row)
+
 SELECT count(*) from test__int WHERE a @@ '50&68';
  count 
 -------
@@ -466,6 +503,18 @@ SELECT count(*) from test__int WHERE a @@ '(20&23)|(50&68)';
     21
 (1 row)
 
+SELECT count(*) from test__int WHERE a @@ '20 | !21';
+ count 
+-------
+  6566
+(1 row)
+
+SELECT count(*) from test__int WHERE a @@ '!20 & !21';
+ count 
+-------
+  6343
+(1 row)
+
 DROP INDEX text_idx;
 CREATE INDEX text_idx on test__int using gist ( a gist__intbig_ops );
 SELECT count(*) from test__int WHERE a && '{23,50}';
@@ -498,6 +547,18 @@ SELECT count(*) from test__int WHERE a @> '{20,23}';
     12
 (1 row)
 
+SELECT count(*) from test__int WHERE a <@ '{73,23,20}';
+ count 
+-------
+    10
+(1 row)
+
+SELECT count(*) from test__int WHERE a = '{73,23,20}';
+ count 
+-------
+     1
+(1 row)
+
 SELECT count(*) from test__int WHERE a @@ '50&68';
  count 
 -------
@@ -516,6 +577,18 @@ SELECT count(*) from test__int WHERE a @@ '(20&23)|(50&68)';
     21
 (1 row)
 
+SELECT count(*) from test__int WHERE a @@ '20 | !21';
+ count 
+-------
+  6566
+(1 row)
+
+SELECT count(*) from test__int WHERE a @@ '!20 & !21';
+ count 
+-------
+  6343
+(1 row)
+
 DROP INDEX text_idx;
 CREATE INDEX text_idx on test__int using gin ( a gin__int_ops );
 SELECT count(*) from test__int WHERE a && '{23,50}';
@@ -548,6 +621,18 @@ SELECT count(*) from test__int WHERE a @> '{20,23}';
     12
 (1 row)
 
+SELECT count(*) from test__int WHERE a <@ '{73,23,20}';
+ count 
+-------
+    10
+(1 row)
+
+SELECT count(*) from test__int WHERE a = '{73,23,20}';
+ count 
+-------
+     1
+(1 row)
+
 SELECT count(*) from test__int WHERE a @@ '50&68';
  count 
 -------
@@ -566,3 +651,16 @@ SELECT count(*) from test__int WHERE a @@ '(20&23)|(50&68)';
     21
 (1 row)
 
+SELECT count(*) from test__int WHERE a @@ '20 | !21';
+ count 
+-------
+  6566
+(1 row)
+
+SELECT count(*) from test__int WHERE a @@ '!20 & !21';
+ count 
+-------
+  6343
+(1 row)
+
+RESET enable_seqscan;
diff --git a/contrib/intarray/sql/_int.sql b/contrib/intarray/sql/_int.sql
index f6fe2de55c5..242e7a00db9 100644
--- a/contrib/intarray/sql/_int.sql
+++ b/contrib/intarray/sql/_int.sql
@@ -76,9 +76,15 @@ SELECT count(*) from test__int WHERE a @@ '23|50';
 SELECT count(*) from test__int WHERE a @> '{23,50}';
 SELECT count(*) from test__int WHERE a @@ '23&50';
 SELECT count(*) from test__int WHERE a @> '{20,23}';
+SELECT count(*) from test__int WHERE a <@ '{73,23,20}';
+SELECT count(*) from test__int WHERE a = '{73,23,20}';
 SELECT count(*) from test__int WHERE a @@ '50&68';
 SELECT count(*) from test__int WHERE a @> '{20,23}' or a @> '{50,68}';
 SELECT count(*) from test__int WHERE a @@ '(20&23)|(50&68)';
+SELECT count(*) from test__int WHERE a @@ '20 | !21';
+SELECT count(*) from test__int WHERE a @@ '!20 & !21';
+
+SET enable_seqscan = off;  -- not all of these would use index by default
 
 CREATE INDEX text_idx on test__int using gist ( a gist__int_ops );
 
@@ -87,9 +93,13 @@ SELECT count(*) from test__int WHERE a @@ '23|50';
 SELECT count(*) from test__int WHERE a @> '{23,50}';
 SELECT count(*) from test__int WHERE a @@ '23&50';
 SELECT count(*) from test__int WHERE a @> '{20,23}';
+SELECT count(*) from test__int WHERE a <@ '{73,23,20}';
+SELECT count(*) from test__int WHERE a = '{73,23,20}';
 SELECT count(*) from test__int WHERE a @@ '50&68';
 SELECT count(*) from test__int WHERE a @> '{20,23}' or a @> '{50,68}';
 SELECT count(*) from test__int WHERE a @@ '(20&23)|(50&68)';
+SELECT count(*) from test__int WHERE a @@ '20 | !21';
+SELECT count(*) from test__int WHERE a @@ '!20 & !21';
 
 DROP INDEX text_idx;
 CREATE INDEX text_idx on test__int using gist ( a gist__intbig_ops );
@@ -99,9 +109,13 @@ SELECT count(*) from test__int WHERE a @@ '23|50';
 SELECT count(*) from test__int WHERE a @> '{23,50}';
 SELECT count(*) from test__int WHERE a @@ '23&50';
 SELECT count(*) from test__int WHERE a @> '{20,23}';
+SELECT count(*) from test__int WHERE a <@ '{73,23,20}';
+SELECT count(*) from test__int WHERE a = '{73,23,20}';
 SELECT count(*) from test__int WHERE a @@ '50&68';
 SELECT count(*) from test__int WHERE a @> '{20,23}' or a @> '{50,68}';
 SELECT count(*) from test__int WHERE a @@ '(20&23)|(50&68)';
+SELECT count(*) from test__int WHERE a @@ '20 | !21';
+SELECT count(*) from test__int WHERE a @@ '!20 & !21';
 
 DROP INDEX text_idx;
 CREATE INDEX text_idx on test__int using gin ( a gin__int_ops );
@@ -111,6 +125,12 @@ SELECT count(*) from test__int WHERE a @@ '23|50';
 SELECT count(*) from test__int WHERE a @> '{23,50}';
 SELECT count(*) from test__int WHERE a @@ '23&50';
 SELECT count(*) from test__int WHERE a @> '{20,23}';
+SELECT count(*) from test__int WHERE a <@ '{73,23,20}';
+SELECT count(*) from test__int WHERE a = '{73,23,20}';
 SELECT count(*) from test__int WHERE a @@ '50&68';
 SELECT count(*) from test__int WHERE a @> '{20,23}' or a @> '{50,68}';
 SELECT count(*) from test__int WHERE a @@ '(20&23)|(50&68)';
+SELECT count(*) from test__int WHERE a @@ '20 | !21';
+SELECT count(*) from test__int WHERE a @@ '!20 & !21';
+
+RESET enable_seqscan;