[Exim] Permission errors

I am having a problem with permissions while running exim. I am running
Mandrake 9.1 and here are the problems I have encountered.

exim is running as user 'mail'

Initial Error message in the exim log:


2003-06-12 15:54:20 Start queue run: pid=2375
2003-06-12 15:54:20 19QY5M-0000YO-QW Spool error for
/var/spool/exim/input//19QY5M-0000YO-QW-D: Permission denied 2003-06-12
15:54:20 End queue run: pid=2375

ownership of the files in /var/spool/exim/input/ is set to the user
that created the mail(i.e. with mutt) the group is set to mail. the
permissions on the files are -rw-r-----

After doing to the files in /var/spool/exim/input, chmod g+w

2003-06-12 15:56:20 Start queue run: pid=2383
2003-06-12 15:56:20 19QY5M-0000YO-QW Couldn't create message log
/var/spool/exim/msglog//19QY5M-0000YO-QW: Permission denied 2003-06-12
15:56:20 End queue run: pid=2383

19QY5M-0000YO-QW is created but is an empty file

/var/spool/exim and all its subdirectories are set to drwxrwxrwx

If I do chmod a+s /usr/sbin/exim, then it runs as it should. I have been
told, however that this is not a good thing to do, so I would like to
resolve this problem. Any advice would be much appreciated
Thanks,
McNeill Kirkpatrick