It is too big to open in notepad, wordpad might work but I doubt you would glean any useful info from that.
Check the file properties of both files and see when they were last modified, I suspect one of them may not be in use regularly. I don't believe if they were removed it would cause an issue as avast should recreate it/them.
I don't like deleting anything right off, so first disable the avast self defence module (Program Settings, Troubleshooting, disable self-defence) and rename them aswArOld.log and aswAr1Old.log.
Now reboot, after 8 minutes avast should run the anti-rootkit scan and create any log file required. Give it a reasonable time 10 minutes or so to check for the presence of the newly created aswAr log/s. If at least aswAR.log is there I would say it is safe to delete the renamed aswArOld.log and aswAr1Old.log files.
Now you should enable the self-defence module by reversing the previous steps.