At this stage, output from the startup attempt is recorded in the $ARTIFACTORY_HOME/logs/catalina folder only. You should find updated log entries in these log files:
catalina.out - or - catalina.<TIMESTAMP>.log: Sep 10, 2019 9:46:34 PM org.apache.coyote.AbstractProtocol init INFO: Initializing ProtocolHandler ["http-nio-8081"] [...] [/home/jfrog/programs/artifactory-pro-5.10.3/tomcat/conf/Catalina/localhost/artifactory.xml] 2019-09-10 21:46:34 [UNDEFINED] [INFO ] Fetched Artifactory [artifactory.home=null] from servlet context localhost.<timestamp>.log: 10-Sep-2019 17:20:19.392 INFO [localhost-startStop-4] org.apache.catalina.core.ApplicationContext.log Closing Spring root WebApplicationContext [...] 10-Sep-2019 21:46:40.161 INFO [localhost-startStop-1] org.apache.catalina.core.ApplicationContext.log Initializing Spring embedded WebApplicationContext