Solaris syslog messages cluttering screen

Well, this kind of silly but I think I am missing something. So we have this Solaris 10 server which acts as syslog server for network devices. Problem is the syslogs clutters whenever I use the

screen

utility for any work.

I am posting the conetent of

/etc/syslog.conf
# more /etc/syslog.conf
#ident  "@(#)syslog.conf        1.5     98/12/14 SMI"   /* SunOS 5.0 */
#
# Copyright (c) 1991-1998 by Sun Microsystems, Inc.
# All rights reserved.
#
# syslog configuration file.
#
# This file is processed by m4 so be careful to quote (`') names
# that match m4 reserved words.  Also, within ifdef's, arguments
# containing commas must be quoted.
#
*.err;kern.notice;auth.notice                   /dev/sysmsg
*.err;kern.debug;daemon.notice;mail.crit        /var/adm/messages

*.alert;kern.err;daemon.err                     operator
*.alert                                         root

*.emerg                                         *

# if a non-loghost machine chooses to have authentication messages
# sent to the loghost machine, un-comment out the following line:
#auth.notice                    ifdef(`LOGHOST', /var/log/authlog, @loghost)

mail.debug                      ifdef(`LOGHOST', /var/log/syslog, @loghost)

#
# non-loghost machines will use the following lines to cause "user"
# log messages to be logged locally.
#
ifdef(`LOGHOST', ,
user.err                                        /dev/sysmsg
user.err                                        /var/adm/messages
user.alert                                      `root, operator'
user.emerg                                      *
)
daemon.debug                    /var/log/connlog
auth.info                       /var/log/authlog
# filter for network devices 
local7.info;local7.notice;local7.warn;local7.error              /var/log/syslog_info
#BEGIN 
local0.emerg;local0.alert;local0.crit;local0.err;local0.warning;local0.notice;local0.info;local0.debug  /opt/app/data/dblog/dbeng.log
#END 

Am I missing something in the config?

How are you connecting to the Solaris 10 server?

man sysmsg

shows that it is certainly /dev/sysmsg that sends the given log levels to "console" devices.
The easiest way is to start the screen utility on a non-console device.
Shouldn't screen by default pick a simple /dev/pts/* ?

I am SSH-ing to the box.