Write to serial port by detecting a RFID card

I added the library by downloading the zip file and click on 'Sketch' --> 'Include Library' --> 'Add .ZIP library' --> Selecting the zip file.

That sounds right.

Note that the code I posted that works for me and not for you uses a basic RFID library

The library files have this comment in them

/* RFID.h - Library to use ARDUINO RFID MODULE KIT 13.56 MHZ WITH TAGS SPI W AND R BY COOQROBOT.
 * Based on code Dr.Leong   ( WWW.B2CQSHOP.COM )
 * Created by Miguel Balboa (circuitito.com), Jan, 2012. 
 */

but I have no idea where I downloaded it from