How to get Debian to resolve external IP or set EXIM correctly?

Question

Domain Name System

Hello. In general, the alignment is as follows:
there is zabbix, I started to make notifications by email, and, in fact, further configure Exim.
It turned out that letters go outside, but not inside the domain. The mailer is inside the network, and its internal ip is resolved.
Writes unroutable address in logs.
Config:

dc_eximconfig_configtype='internet'
dc_other_hostnames='contoso.com; mail.contoso.com'
dc_local_interfaces='127.0.0.1 ; ::1'
dc_readhost=''
dc_relay_domains=''
dc_minimaldns='false'
dc_relay_nets=''
dc_smarthost='mail.contoso.com::465'
CFILEMODE='644'
dc_use_split_config='false'
dc_hide_mailname='false'
dc_mailname_in_oh='true'
dc_localdelivery='maildir_home'

Z.Y. In the config domains = ! +local_domains removed the question mark)
2015-12-11 11:23:01 1a7Iyj-0007pY-8x <= [email protected] U=root P=local S=353
2015-12-11 11:23:01 1a7Iyj-0007pY -8x ** [email protected]: Unrouteable address
2015-12-11 11:23:01 1a7Iyj-0007pc-AD <= <> R=1a7Iyj-0007pY-8x U=Debian-exim P=local S=1154
2015 -12-11 11:23:01 1a7Iyj-0007pY-8x Completed
2015-12-11 11:23:01 1a7Iyj-0007pc-AD => igol R=local_user T=maildir_home
2015-12-11 11:23:01 1a7Iyj -0007pc-AD Completed

Answer 1

resolved
domains = ! +local_domains not removed there)