Setting property 'source' to 'org.eclipse.jst.jee.server:JSFTut' did not find a matching property

This is not an error. This is a warning. The difference is pretty huge. This particular warning basically means that the <Context> element in Tomcat's server.xml contains an unknown attribute source and that Tomcat doesn't know what to do with this attribute and therefore will ignore it.

Eclipse WTP adds a custom attribute source to the project related <Context> element in the server.xml of Tomcat which identifies the source of the context (the actual project in the workspace which is deployed to the particular server). This way Eclipse can correlate the deployed webapplication with an project in the workspace. Since Tomcat version 6.0.16, any unspecified XML tags and attributes in the server.xml will produce a warning during Tomcat's startup, even though there is no DTD nor XSD for server.xml.

Just ignore it. Your web project is fine. It should run fine. This issue is completely unrelated to JSF.

Remove the project from the server from the Server View. Then run the project under the same server.

The problem is as @BalusC told corrupt of server.xml of tomcat which is configured in the eclipse. So when you do the above process server.xml will be recreated .

I thought I'd add that for Tomcat 7.x, <Context> is not in the server.xml, but in the context.xml. Removing and re-adding the project did not seem to help my similar issue, which was a web.xml issue, which I found out by checking the context.xml which had this line in the <Context> section:

<WatchedResource>WEB-INF/web.xml</WatchedResource>

The solution in WARNING: Setting property 'source' to 'org.eclipse.jst.jee.server:appname' did not find a matching property brought me closer to my answer, as the change of publishing into a separate XML did resolve the error reported above for me, but unfortunately it generated a second error that I'm still investigating.

WARNING: [SetContextPropertiesRule]{Context} Setting property 'source' to 'org.eclipse.jst.jee.server:myproject' did not find a matching property.