TEMSE errors within system log (SM21)

When browsing through the system log (as many background jobs failed with no specific reason), I found several "TEMSE" related log entries.

Executing transaction SP12 starts the TEMSE cockpit in which you can execute a consistency check. (Temse Data Storage -> Consistency check).

After several minutes the screen above, regarding the results of the consistency check, were shown. By deleting the complete TEMSE database (button DELETE ALL), no more TEMSE system log entries were generated and the background jobs (which failed in the beginning) ended successfully again.