Here are the two log files. First is the fail2ban.log entries for dovecot bans. Second is the dovecot.log entries relating to the banned IP addresses.
Nothing was caught recently from the Disconnected portion. If I had used "Disconnected: Inactivity" I would probably have had a lot of false alarms. I'll try the "Disconnected: Inactivity" with fail2ban-regex, and see.
EDIT: If I add the Inactivity portion, It catches a lot of mobile phone users. Too restrictive to use.
2016-12-11 15:17:10,419 fail2ban.actions: WARNING [dovecot-iredmail] Ban 97.34.65.162
2016-12-11 16:37:36,782 fail2ban.actions: WARNING [dovecot-iredmail] Ban 70.194.225.115
2016-12-11 16:49:20,651 fail2ban.actions: WARNING [dovecot-iredmail] Ban 66.219.150.159
2016-12-12 00:30:48,581 fail2ban.actions: WARNING [dovecot-iredmail] Ban 108.81.218.13
2016-12-12 06:59:46,449 fail2ban.actions: WARNING [dovecot-iredmail] Ban 37.49.226.107
2016-12-12 07:28:12,679 fail2ban.actions: WARNING [dovecot-iredmail] Ban 70.194.224.246
2016-12-12 08:15:18,082 fail2ban.actions: WARNING [dovecot-iredmail] Ban 96.11.55.114
2016-12-12 10:13:37,670 fail2ban.actions: WARNING [dovecot-iredmail] Ban 97.46.195.20
2016-12-12 16:40:04,911 fail2ban.actions: WARNING [dovecot-iredmail] Ban 97.46.193.50
2016-12-13 01:11:41,913 fail2ban.actions: WARNING [dovecot-iredmail] Ban 108.81.218.13
Dec 11 08:00:04 imap-login: Info: Aborted login (no auth attempts in 0 secs): user=<>, rip=97.34.65.162, lip=10.11.12.13, session=<Y+vekGFDLQBhIkGi>
Dec 11 10:06:46 imap-login: Info: Aborted login (no auth attempts in 0 secs): user=<>, rip=97.34.65.162, lip=10.11.12.13, session=<qtfvVWNDKQBhIkGi>
Dec 11 10:07:01 imap-login: Info: Aborted login (no auth attempts in 0 secs): user=<>, rip=97.34.65.162, lip=10.11.12.13, session=<71jUVmNDLABhIkGi>
Dec 11 10:15:54 imap-login: Info: Aborted login (no auth attempts in 1 secs): user=<>, rip=97.34.65.162, lip=10.11.12.13, session=<N3WXdmNDJQBhIkGi>
Dec 11 10:16:20 imap-login: Info: Aborted login (no auth attempts in 0 secs): user=<>, rip=97.34.65.162, lip=10.11.12.13, session=<4OgteGND1ABhIkGi>
Dec 11 13:11:03 imap-login: Info: Aborted login (no auth attempts in 0 secs): user=<>, rip=97.34.65.162, lip=10.11.12.13, session=<ip4A6WVDMgBhIkGi>
Dec 11 13:11:12 imap-login: Info: Aborted login (no auth attempts in 0 secs): user=<>, rip=97.34.65.162, lip=10.11.12.13, session=</XOM6WVDIABhIkGi>
Dec 11 14:44:42 imap-login: Info: Aborted login (no auth attempts in 0 secs): user=<>, rip=97.34.65.162, lip=10.11.12.13, session=<fvvtN2dDMwBhIkGi>
Dec 11 14:44:56 imap-login: Info: Aborted login (no auth attempts in 0 secs): user=<>, rip=97.34.65.162, lip=10.11.12.13, session=<Qya+OGdDPABhIkGi>
Dec 11 14:54:13 imap-login: Info: Aborted login (no auth attempts in 0 secs): user=<>, rip=97.34.65.162, lip=10.11.12.13, session=<Afv1WWdDLABhIkGi>
Dec 11 14:54:24 imap-login: Info: Aborted login (no auth attempts in 0 secs): user=<>, rip=97.34.65.162, lip=10.11.12.13, session=<ysmfWmdDKwBhIkGi>
Dec 11 15:17:10 imap-login: Info: Aborted login (no auth attempts in 0 secs): user=<>, rip=97.34.65.162, lip=10.11.12.13, session=<vJwGrGdDLwBhIkGi>
Dec 11 16:34:19 imap-login: Info: Aborted login (no auth attempts in 0 secs): user=<>, rip=70.194.225.115, lip=10.11.12.13, session=<SVLvv2hDqABGwuFz>
Dec 11 16:34:19 imap-login: Info: Aborted login (no auth attempts in 0 secs): user=<>, rip=70.194.225.115, lip=10.11.12.13, session=<6Bfzv2hDqQBGwuFz>
Dec 11 16:34:19 imap-login: Info: Aborted login (no auth attempts in 0 secs): user=<>, rip=70.194.225.115, lip=10.11.12.13, session=<4I71v2hDoQBGwuFz>
Dec 11 16:34:19 imap-login: Info: Aborted login (no auth attempts in 0 secs): user=<>, rip=70.194.225.115, lip=10.11.12.13, session=<i9n3v2hDowBGwuFz>
Dec 11 16:37:35 imap-login: Info: Aborted login (no auth attempts in 0 secs): user=<>, rip=70.194.225.115, lip=10.11.12.13, session=<pqany2hDpwBGwuFz>
Dec 11 16:37:36 imap-login: Info: Aborted login (no auth attempts in 0 secs): user=<>, rip=70.194.225.115, lip=10.11.12.13, session=<Ilyry2hDqQBGwuFz>
Dec 11 16:37:36 imap-login: Info: Aborted login (no auth attempts in 0 secs): user=<>, rip=70.194.225.115, lip=10.11.12.13, session=<5xmxy2hDsABGwuFz>
Dec 11 16:40:36 imap-login: Info: Disconnected: Inactivity (no auth attempts in 180 secs): user=<>, rip=70.194.225.115, lip=10.11.12.13, session=<xG5v1mhDtgBGwuFz>
Dec 11 16:39:20 pop3-login: Info: Aborted login (tried to use disallowed plaintext auth): user=<>, rip=66.219.150.159, lip=10.11.12.13, session=<WFPe0WhD0ABC25af>
Dec 11 16:39:21 pop3-login: Info: Aborted login (tried to use disallowed plaintext auth): user=<>, rip=66.219.150.159, lip=10.11.12.13, session=<QODz0WhD0QBC25af>
Dec 11 16:44:20 pop3-login: Info: Aborted login (tried to use disallowed plaintext auth): user=<>, rip=66.219.150.159, lip=10.11.12.13, session=<owfH42hDvQBC25af>
Dec 11 16:44:22 pop3-login: Info: Aborted login (tried to use disallowed plaintext auth): user=<>, rip=66.219.150.159, lip=10.11.12.13, session=<Vzvo42hDyABC25af>
Dec 11 16:49:20 pop3-login: Info: Aborted login (tried to use disallowed plaintext auth): user=<>, rip=66.219.150.159, lip=10.11.12.13, session=<oJml9WhDRABC25af>
Dec 11 23:59:18 pop3-login: Info: Aborted login (tried to use disallowed plaintext auth): user=<>, rip=108.81.218.13, lip=10.11.12.13, session=<BcFO925DhQBsUdoN>
Dec 11 23:59:18 pop3-login: Info: Aborted login (tried to use disallowed plaintext auth): user=<>, rip=108.81.218.13, lip=10.11.12.13, session=<L0lV925DWwBsUdoN>
Dec 12 00:15:05 pop3-login: Info: Aborted login (tried to use disallowed plaintext auth): user=<>, rip=108.81.218.13, lip=10.11.12.13, session=<hrjGL29DswBsUdoN>
Dec 12 00:15:05 pop3-login: Info: Aborted login (tried to use disallowed plaintext auth): user=<>, rip=108.81.218.13, lip=10.11.12.13, session=<S9nLL29DgQBsUdoN>
Dec 12 00:30:47 pop3-login: Info: Aborted login (tried to use disallowed plaintext auth): user=<>, rip=108.81.218.13, lip=10.11.12.13, session=<WJDvZ29D3ABsUdoN>
Dec 12 00:30:48 pop3-login: Info: Aborted login (tried to use disallowed plaintext auth): user=<>, rip=108.81.218.13, lip=10.11.12.13, session=<MUT1Z29DJwBsUdoN>
Dec 13 00:41:34 pop3-login: Info: Aborted login (tried to use disallowed plaintext auth): user=<>, rip=108.81.218.13, lip=10.11.12.13, session=<yGhYrINDIwBsUdoN>
Dec 13 00:41:35 pop3-login: Info: Aborted login (tried to use disallowed plaintext auth): user=<>, rip=108.81.218.13, lip=10.11.12.13, session=<iHRcrINDuwBsUdoN>
Dec 13 00:56:40 pop3-login: Info: Aborted login (tried to use disallowed plaintext auth): user=<>, rip=108.81.218.13, lip=10.11.12.13, session=<rpJN4oNDWwBsUdoN>
Dec 13 00:56:40 pop3-login: Info: Aborted login (tried to use disallowed plaintext auth): user=<>, rip=108.81.218.13, lip=10.11.12.13, session=<C4NR4oND8ABsUdoN>
Dec 13 01:11:41 pop3-login: Info: Aborted login (tried to use disallowed plaintext auth): user=<>, rip=108.81.218.13, lip=10.11.12.13, session=<eOMDGIRDxgBsUdoN>
Dec 13 01:11:41 pop3-login: Info: Aborted login (tried to use disallowed plaintext auth): user=<>, rip=108.81.218.13, lip=10.11.12.13, session=<iD8NGIRDeABsUdoN>
Dec 12 06:59:44 pop3-login: Info: Aborted login (tried to use disallowed plaintext auth): user=<>, rip=37.49.226.107, lip=10.11.12.13, session=<jAvr1nRDLwAlMeJr>
Dec 12 06:59:44 pop3-login: Info: Aborted login (tried to use disallowed plaintext auth): user=<>, rip=37.49.226.107, lip=10.11.12.13, session=<4vTw1nRDlQAlMeJr>
Dec 12 06:59:45 pop3-login: Info: Aborted login (tried to use disallowed plaintext auth): user=<>, rip=37.49.226.107, lip=10.11.12.13, session=<ROb11nRDMwAlMeJr>
Dec 12 06:59:45 pop3-login: Info: Aborted login (tried to use disallowed plaintext auth): user=<>, rip=37.49.226.107, lip=10.11.12.13, session=<Dgn71nRDowAlMeJr>
Dec 12 06:59:45 pop3-login: Info: Aborted login (tried to use disallowed plaintext auth): user=<>, rip=37.49.226.107, lip=10.11.12.13, session=<poYA13RDUgAlMeJr>
Dec 12 06:59:46 pop3-login: Info: Aborted login (tried to use disallowed plaintext auth): user=<>, rip=37.49.226.107, lip=10.11.12.13, session=<CmIG13RD6QAlMeJr>
Dec 12 07:02:44 pop3-login: Info: Disconnected: Inactivity (no auth attempts in 180 secs): user=<>, rip=37.49.226.107, lip=10.11.12.13, session=<TjWi4XRDnAAlMeJr>
Dec 12 07:12:25 pop3-login: Info: Aborted login (tried to use disallowed plaintext auth): user=<>, rip=70.194.224.246, lip=10.11.12.13, session=<4JRKBHVD9QBGwuD2>
Dec 12 07:12:26 pop3-login: Info: Aborted login (tried to use disallowed plaintext auth): user=<>, rip=70.194.224.246, lip=10.11.12.13, session=<pOlQBHVD7gBGwuD2>
Dec 12 07:12:49 pop3-login: Info: Aborted login (tried to use disallowed plaintext auth): user=<>, rip=70.194.224.246, lip=10.11.12.13, session=<rGe5BXVD6ABGwuD2>
Dec 12 07:28:12 pop3-login: Info: Aborted login (tried to use disallowed plaintext auth): user=<>, rip=70.194.224.246, lip=10.11.12.13, session=<4oqyPHVD/wBGwuD2>
Dec 12 07:28:12 pop3-login: Info: Aborted login (tried to use disallowed plaintext auth): user=<>, rip=70.194.224.246, lip=10.11.12.13, session=<RPq5PHVD9QBGwuD2>
Dec 13 07:33:22 pop3-login: Info: Aborted login (tried to use disallowed plaintext auth): user=<>, rip=70.194.224.246, lip=10.11.12.13, session=<9qoJbYlD6ABGwuD2>
Dec 13 07:33:22 pop3-login: Info: Aborted login (tried to use disallowed plaintext auth): user=<>, rip=70.194.224.246, lip=10.11.12.13, session=<q/8QbYlD7QBGwuD2>
Dec 12 08:15:17 imap-login: Info: Aborted login (no auth attempts in 0 secs): user=<>, rip=96.11.55.114, lip=10.11.12.13, session=<Wbga5XVDnwBgCzdy>
Dec 12 08:15:17 imap-login: Info: Aborted login (no auth attempts in 0 secs): user=<>, rip=96.11.55.114, lip=10.11.12.13, session=<cQId5XVDXABgCzdy>
Dec 12 08:15:17 imap-login: Info: Aborted login (no auth attempts in 0 secs): user=<>, rip=96.11.55.114, lip=10.11.12.13, session=<1cge5XVD9gBgCzdy>
Dec 12 08:15:17 imap-login: Info: Aborted login (no auth attempts in 0 secs): user=<>, rip=96.11.55.114, lip=10.11.12.13, session=<52Ug5XVDTwBgCzdy>
Dec 12 08:15:18 imap-login: Info: Aborted login (no auth attempts in 1 secs): user=<>, rip=96.11.55.114, lip=10.11.12.13, session=<5mgi5XVDPwBgCzdy>
Dec 12 09:28:08 imap-login: Info: Aborted login (no auth attempts in 0 secs): user=<>, rip=97.46.195.20, lip=10.11.12.13, session=<nOao6XZDHABhLsMU>
Dec 12 09:28:11 imap-login: Info: Aborted login (no auth attempts in 0 secs): user=<>, rip=97.46.195.20, lip=10.11.12.13, session=<0qLP6XZDHQBhLsMU>
Dec 12 09:28:19 imap-login: Info: Aborted login (no auth attempts in 0 secs): user=<>, rip=97.46.195.20, lip=10.11.12.13, session=<mTVR6nZDFQBhLsMU>
Dec 12 10:13:17 imap-login: Info: Aborted login (no auth attempts in 0 secs): user=<>, rip=97.46.195.20, lip=10.11.12.13, session=<NjoVi3dDAABhLsMU>
Dec 12 10:13:37 imap-login: Info: Aborted login (no auth attempts in 1 secs): user=<>, rip=97.46.195.20, lip=10.11.12.13, session=<DqtGjHdDDABhLsMU>
Dec 12 15:55:53 imap-login: Info: Aborted login (no auth attempts in 0 secs): user=<>, rip=97.46.193.50, lip=10.11.12.13, session=<WwJXVHxD/wBhLsEy>
Dec 12 15:56:08 imap-login: Info: Aborted login (no auth attempts in 0 secs): user=<>, rip=97.46.193.50, lip=10.11.12.13, session=<brJAVXxDxQBhLsEy>
Dec 12 16:36:09 imap-login: Info: Aborted login (no auth attempts in 0 secs): user=<>, rip=97.46.193.50, lip=10.11.12.13, session=<T6lY5HxD8ABhLsEy>
Dec 12 16:36:20 imap-login: Info: Aborted login (no auth attempts in 0 secs): user=<>, rip=97.46.193.50, lip=10.11.12.13, session=<tIb/5HxD7ABhLsEy>
Dec 12 16:40:04 imap-login: Info: Aborted login (no auth attempts in 1 secs): user=<>, rip=97.46.193.50, lip=10.11.12.13, session=<mqdT8nxD8ABhLsEy>