Conflict between Spring MVC and PrimeFaces

I have a problem integrating Spring MVC with PrimeFaces. It seems to give a conflict between them.

Has the configuration in web.xml

<servlet>
    <servlet-name>Faces Servlet</servlet-name>
    <servlet-class>javax.faces.webapp.FacesServlet</servlet-class>
    <load-on-startup>1</load-on-startup>
</servlet>


<!-- Map these files with JSF -->
<servlet-mapping>
    <servlet-name>Faces Servlet</servlet-name>
    <url-pattern>/faces/*</url-pattern>
</servlet-mapping>
<servlet-mapping>
    <servlet-name>Faces Servlet</servlet-name>
    <url-pattern>*.jsf</url-pattern>
</servlet-mapping>
<servlet-mapping>
    <servlet-name>Faces Servlet</servlet-name>
    <url-pattern>*.faces</url-pattern>
</servlet-mapping>
<servlet-mapping>
    <servlet-name>Faces Servlet</servlet-name>
    <url-pattern>*.jsp</url-pattern>
</servlet-mapping>

the faces-config.xml file with Spring

            org.springframework.web.jsf.el.SpringBeanFacesELResolver         

And it still did not work.

I've tried this tutorial and the Spring Web-flow tutorial that talks about Spring-Faces and did not work.

The broken source code with the problem is in Github .