[exim] cannot send mail from cron

Hello,

I wish to mail myself logfiles via cron but all mail sent does not
reach the recipient.
The recipient is an external address.
I do:
# mail myadress@???
Subject: test
test
.
EOT

Now nothing happens. I never get the mail.

# exim -d -bt myadress@???

Exim version 4.54 uid=0 gid=0 pid=11946 D=fbb95cfd
Berkeley DB: Sleepycat Software: Berkeley DB 4.4.20: (January 10, 2006)
Support for: crypteq iconv() IPv6 TCPwrappers OpenSSL Content_Scanning
Old_Demime
Lookups: lsearch wildlsearch nwildlsearch iplsearch dbm dbmnz dsearch
Authenticators: cram_md5 plaintext spa
Routers: accept dnslookup ipliteral manualroute queryprogram redirect
Transports: appendfile/maildir/mailstore/mbx autoreply lmtp pipe smtp
Fixed never_users: 0
changed uid/gid: forcing real = effective
uid=0 gid=0 pid=11946
auxiliary group list: <none>
configuration file is /etc/exim/configure
log selectors = 00000ffc 00020800
trusted user
admin user
finduser used cached passwd data for mailmanager
finduser used cached passwd data for mailmanager
finduser used cached passwd data for mailmanager
originator: uid=0 gid=0 login=root name=root
sender address = root@???
Address testing: uid=0 gid=12 euid=0 egid=12
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
Testing myaddress@???
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
Considering myaddress@???
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
routing myaddress@???
--------> dnslookup router <--------
local_part=myaddress domain=gmx.org
checking domains
gmx.org in "/etc/exim/maps/virtual_domains"? no (end of list)
gmx.org in "@"? no (end of list)
gmx.org in "+virtual_domains : +local_domains"? no (end of list)
gmx.org in "! +all_local_domains"? yes (end of list)
calling dnslookup router
dnslookup router called for myaddress@???
domain = gmx.org
DNS lookup of gmx.org (MX) succeeded
DNS lookup of mx0.gmx.net (AAAA) gave NO_DATA
returning DNS_NODATA
DNS lookup of mx0.gmx.net (A) succeeded
213.165.64.100 in "0.0.0.0 : 127.0.0.0/8"? no (end of list)
DNS lookup of mx0.gmx.de (AAAA) gave NO_DATA
returning DNS_NODATA
DNS lookup of mx0.gmx.de (A) succeeded
213.165.64.100 in "0.0.0.0 : 127.0.0.0/8"? no (end of list)
duplicate IP address 213.165.64.100 (MX=10) removed
fully qualified name = gmx.org
host_find_bydns yield = HOST_FOUND (2); returned hosts:
mx0.gmx.net 213.165.64.100 MX=10
set transport remote_smtp
queued for remote_smtp transport: local_part = myaddress
domain = gmx.org
errors_to=NULL
domain_data=NULL localpart_data=NULL
routed by dnslookup router
envelope to: myaddress@???
transport: remote_smtp
host mx0.gmx.net [213.165.64.100] MX=10
myaddress@???
router = dnslookup, transport = remote_smtp
host mx0.gmx.net [213.165.64.100] MX=10
search_tidyup called
>>>>>>>>>>>>>>>> Exim pid=11946 terminating with rc=0 >>>>>>>>>>>>>>>>

Any Ideas ?