Look here's the connection doctor output:
WROTE Mar 28 00:50:13.024 [kCFStreamSocketSecurityLevelNegotiatedSSL] -- host:imap.mail.me.com -- port:993 -- socket:0xf0a8660 -- thread:0x14557280
2.2819 LOGIN myname ********
READ Mar 28 00:50:13.081 [kCFStreamSocketSecurityLevelNegotiatedSSL] -- host:imap.mail.me.com -- port:993 -- socket:0xf0a8660 -- thread:0x14557280
2.2819 OK User myname logged in 123932
WROTE Mar 28 00:50:13.114 [kCFStreamSocketSecurityLevelNegotiatedSSL] -- host:imap.mail.me.com -- port:993 -- socket:0xf0a8660 -- thread:0x14557280
3.2819 CAPABILITY
READ Mar 28 00:50:13.181 [kCFStreamSocketSecurityLevelNegotiatedSSL] -- host:imap.mail.me.com -- port:993 -- socket:0xf0a8660 -- thread:0x14557280
* CAPABILITY XAPPLEPUSHSERVICE IMAP4 IMAP4rev1 ACL QUOTA LITERAL+ NAMESPACE UIDPLUS CHILDREN BINARY UNSELECT SORT CATENATE URLAUTH LANGUAGE ESEARCH ESORT THREAD=ORDEREDSUBJECT THREAD=REFERENCES CONDSTORE ENABLE CONTEXT=SEARCH CONTEXT=SORT WITHIN SASL-IR SEARCHRES XSENDER X-NETSCAPE XSERVERINFO X-SUN-SORT ANNOTATE-EXPERIMENT-1 X-UNAUTHENTICATE X-SUN-IMAP X-ANNOTATEMORE XUM1 ID IDLE
READ Mar 28 00:50:13.214 [kCFStreamSocketSecurityLevelNegotiatedSSL] -- host:imap.mail.me.com -- port:993 -- socket:0xf0a8660 -- thread:0x14557280
3.2819 OK Completed
WROTE Mar 28 00:50:13.250 [kCFStreamSocketSecurityLevelNegotiatedSSL] -- host:imap.mail.me.com -- port:993 -- socket:0xf0a8660 -- thread:0x14557280
4.2819 LIST "" ""
WROTE Mar 28 00:50:13.286 [kCFStreamSocketSecurityLevelNone] -- host:smtp.mail.me.com -- port:25 -- socket:0x151cb1b0 -- thread:0x18e67910
EHLO [10.0.0.5]
READ Mar 28 00:50:13.323 [kCFStreamSocketSecurityLevelNegotiatedSSL] -- host:imap.mail.me.com -- port:993 -- socket:0xf0a8660 -- thread:0x14557280
* LIST (\Noselect) "/" ""
4.2819 OK Completed
READ Mar 28 00:50:13.359 [kCFStreamSocketSecurityLevelNone] -- host:smtp.mail.me.com -- port:25 -- socket:0x151cb1b0 -- thread:0x18e67910
250-st11p00mm-asmtpout001.mac.com
250-8BITMIME
250-PIPELINING
250-CHUNKING
250-DSN
250-ENHANCEDSTATUSCODES
250-EXPN
250-HELP
250-XADR
250-XSTA
250-XCIR
250-XGEN
250-XLOOP 7F5970E2CCF07045ECE9F185893F9FDE
250-AUTH PLAIN LOGIN
250-AUTH=LOGIN PLAIN
250-NO-SOLICITING
250 SIZE 0
WROTE Mar 28 00:50:13.398 [kCFStreamSocketSecurityLevelNegotiatedSSL] -- host:imap.mail.me.com -- port:993 -- socket:0xf0a8660 -- thread:0x14557280
5.2819 LOGOUT
WROTE Mar 28 00:50:13.436 [kCFStreamSocketSecurityLevelNone] -- host:smtp.mail.me.com -- port:25 -- socket:0x151cb1b0 -- thread:0x18e67910
*******************************************
READ Mar 28 00:50:13.487 [kCFStreamSocketSecurityLevelNone] -- host:smtp.mail.me.com -- port:25 -- socket:0x151cb1b0 -- thread:0x18e67910
235 2.7.0 PLAIN authentication successful.
WROTE Mar 28 00:50:13.528 [kCFStreamSocketSecurityLevelNone] -- host:smtp.mail.me.com -- port:25 -- socket:0x151cb1b0 -- thread:0x18e67910
QUIT