diff -r dc080e19f7aa Lib/test/test_mailbox.py
--- a/Lib/test/test_mailbox.py	Tue Aug 28 12:33:46 2012 +0200
+++ b/Lib/test/test_mailbox.py	Wed Aug 29 00:34:35 2012 +0300
@@ -660,13 +660,13 @@
             self.assertTrue(match is not None, "Invalid file name: '%s'" % tail)
             groups = match.groups()
             if previous_groups is not None:
-                self.assertTrue(int(groups[0] >= previous_groups[0]),
+                self.assertGreaterEqual(int(groups[0]), int(previous_groups[0]),
                              "Non-monotonic seconds: '%s' before '%s'" %
                              (previous_groups[0], groups[0]))
-                self.assertTrue(int(groups[1] >= previous_groups[1]) or
-                             groups[0] != groups[1],
-                             "Non-monotonic milliseconds: '%s' before '%s'" %
-                             (previous_groups[1], groups[1]))
+                if int(groups[0]) == int(previous_groups[0]):
+                    self.assertGreaterEqual(int(groups[1]), int(previous_groups[1]),
+                                "Non-monotonic milliseconds: '%s' before '%s'" %
+                                (previous_groups[1], groups[1]))
                 self.assertTrue(int(groups[2]) == pid,
                              "Process ID mismatch: '%s' should be '%s'" %
                              (groups[2], pid))