Description of problem:
I've just found it in logs, seems some background activity ... I fail to determine the full path to the directory "backup" but I guess if it is something created by systemd then systemd should be allowed to remove it ...
SELinux is preventing /usr/bin/systemd-tmpfiles from 'rmdir' accesses on the directory backup.

*****  Plugin catchall (100. confidence) suggests   **************************

If you believe that systemd-tmpfiles should be allowed rmdir access on the backup directory by default.
Then you should report this as a bug.
You can generate a local policy module to allow this access.
Do
allow this access for now by executing:
# grep systemd-tmpfile /var/log/audit/audit.log | audit2allow -M mypol
# semodule -i mypol.pp

Additional Information:
Source Context                system_u:system_r:systemd_tmpfiles_t:s0
Target Context                system_u:object_r:root_t:s0
Target Objects                backup [ dir ]
Source                        systemd-tmpfile
Source Path                   /usr/bin/systemd-tmpfiles
Port                          <Neznámé>
Host                          (removed)
Source RPM Packages           systemd-204-18.fc19.x86_64
                              systemd-208-9.fc20.x86_64
Target RPM Packages           
Policy RPM                    selinux-policy-3.12.1-74.15.fc19.noarch selinux-
                              policy-3.12.1-106.fc20.noarch
Selinux Enabled               True
Policy Type                   targeted
Enforcing Mode                Enforcing
Host Name                     (removed)
Platform                      Linux (removed) 3.11.10-200.fc19.x86_64 #1 SMP Mon
                              Dec 2 20:28:03 UTC 2013 x86_64 x86_64
Alert Count                   2
First Seen                    2013-12-24 23:49:30 CET
Last Seen                     2013-12-25 23:49:30 CET
Local ID                      36bc6190-3af3-4e1f-bd68-45cd523f630c

Raw Audit Messages
type=AVC msg=audit(1388011770.206:2095): avc:  denied  { rmdir } for  pid=15286 comm="systemd-tmpfile" name="backup" dev="dm-0" ino=1607422 scontext=system_u:system_r:systemd_tmpfiles_t:s0 tcontext=system_u:object_r:root_t:s0 tclass=dir


type=SYSCALL msg=audit(1388011770.206:2095): arch=x86_64 syscall=unlinkat success=no exit=EACCES a0=5 a1=7f471ff32083 a2=200 a3=7f471decd7b8 items=0 ppid=1 pid=15286 auid=4294967295 uid=0 gid=0 euid=0 suid=0 fsuid=0 egid=0 sgid=0 fsgid=0 ses=4294967295 tty=(none) comm=systemd-tmpfile exe=/usr/bin/systemd-tmpfiles subj=system_u:system_r:systemd_tmpfiles_t:s0 key=(null)

Hash: systemd-tmpfile,systemd_tmpfiles_t,root_t,dir,rmdir

Additional info:
reporter:       libreport-2.1.10
hashmarkername: setroubleshoot
kernel:         3.11.10-200.fc19.x86_64
type:           libreport