Automounted filesystems disappear

We have a Slackware 9.1 box that our ASP controls. We use it to see the logging of our Weblogic-clusters.

All the logging is auto-mounted in /rmt which is fine, as long as you know the names of the mountpoints. When you don't access the mountpoints for a certain period of time, the mountpoint vanishes (which is what automounts are all about, they're there on-demand).

Is there a way to see which mountpoints are available on this machine? The mountpoints vary and our ASP doesn't always tell us about it.