Is there a way to log when a CoD 1 Linux server crashes and describe the error in the log?

I am aware of +set developer 1 and +set developer_script 1. The problem is that our server tends to crash a bit randomly. It works fine for let's say 12 hours with a lot of players on it and then at some point it just goes down (no matter if 5, 10 or 30 players are online). Because of that I can't be sitting 24/7 running the server directly from SSH terminal and looking will it crash.

Note that the CoD server crashes - players get "Connection Interrupted". If the VPS would crash it would immediatelly say "Server Disconnected", I hope I'm right.