Hi

Audacity has a feature called "Silence finder" in the "Analyze" dropdown 
menu.

It doesn't cut the silent parts, but it can put "labels" at the detected 
points to
help finding them.

I have a feeling that some previous version of Audacity could splice at
silent parts of a file. Not sure though.

- - -

Reaper has "Dynamic split". You find it under the "Wiew" dropdown menu.

Eero