[emerg] (13)Permission denied: couldn't grab the accept mutex

I installed Apache on a diskless FreeBSD-9/amd64 server. Once I added SSL, the web server wouldn't start. It died with:

[Mon Mar 21 15:37:16 2011] [emerg] (13)Permission denied: couldn't grab the accept mutex
[Mon Mar 21 15:37:16 2011] [emerg] (13)Permission denied: couldn't grab the accept mutex
[Mon Mar 21 15:37:16 2011] [emerg] (13)Permission denied: couldn't grab the accept mutex
[Mon Mar 21 15:37:16 2011] [emerg] (13)Permission denied: couldn't grab the accept mutex
[Mon Mar 21 15:37:16...