Macbook pro Display freezes and darkens every few seconds

Question

Hey ,
I just bought my Macbook pro 15 inch late 2013 few months ago , I'm new to Apple products ,
My screen started freezing and darkening every 4 seconds , starting from when I power it , until I shut it down even If I don'tt run any programs
I can't move the cursor while it's freezing or do anything , but for example If I write any text , the text will show up when it unfreezes , and If I'm listening to music the sound doesn't freeze . I tried the safe mode , and reseting the PRAM and NVRAM , running disk utility in single user mode and said that everything is fine , I checked my hardware using apple hardware test and also said that everything is fine , I removed the flash player thinking that it may be the problem but nothing changed . I don't know what I'm doing because as I said I'm new to all of this but I tried random things and nothing seems to work , I would really appreciate any help .
PS. when I tried taking a screenshot of the screen when it freezes and darkens a little , it appeared normal in the screenshot .
Hardware Information:
          MacBook Pro (Retina, 15-inch, Late 2013)
          MacBook Pro - model: MacBookPro11,2
          1 2 GHz Intel Core i7 CPU: 4 cores
          8 GB RAM
Video Information:
          Intel Iris Pro - VRAM: 1024 MB
System Software:
          OS X 10.9.2 (13C64) - Uptime: 0 days 0:42:17
Disk Information:
          APPLE SSD SM0256F disk0 : (251 GB)
                    EFI (disk0s1) <not mounted>: 209.7 MB
                    Macintosh HD (disk0s2) / [Startup]: 250.14 GB (200.02 GB free)
                    Recovery HD (disk0s3) <not mounted>: 650 MB
USB Information:
          Apple Internal Memory Card Reader
          Apple Inc. BRCM20702 Hub
                    Apple Inc. Bluetooth USB Host Controller
          Apple Inc. Apple Internal Keyboard / Trackpad
FireWire Information:
Thunderbolt Information:
          Apple Inc. thunderbolt_bus
Kernel Extensions:
          com.eltima.SyncMate.kext          (0.2.5b15)
          org.virtualbox.kext.VBoxDrv          (4.3.6)
          org.virtualbox.kext.VBoxUSB          (4.3.6)
          org.virtualbox.kext.VBoxNetFlt          (4.3.6)
          org.virtualbox.kext.VBoxNetAdp          (4.3.6)
Launch Daemons:
          [System] com.microsoft.office.licensing.helper.plist 3rd-Party support link
          [System] org.virtualbox.startup.plist 3rd-Party support link
          [System] rapiback.plist 3rd-Party support link
Launch Agents:
          [System] syncmateStarter.plist 3rd-Party support link
User Launch Agents:
          [not loaded] com.adobe.ARM.[...].plist 3rd-Party support link
          [not loaded] com.google.keystone.agent.plist 3rd-Party support link
          [not loaded] org.virtualbox.vboxwebsrv.plist 3rd-Party support link
User Login Items:
          iTunesHelper
          SpeechSynthesisServer
          Dropbox
Internet Plug-ins:
          AdobePDFViewerNPAPI: Version: 11.0.06 - SDK 10.6 3rd-Party support link
          SharePointBrowserPlugin: Version: 14.0.0 3rd-Party support link
          AdobePDFViewer: Version: 11.0.06 - SDK 10.6 3rd-Party support link
          QuickTime Plugin: Version: 7.7.3
          Default Browser: Version: 537 - SDK 10.9
Audio Plug-ins:
          BluetoothAudioPlugIn: Version: 1.0 - SDK 10.9
          AirPlay: Version: 2.0 - SDK 10.9
          AppleAVBAudio: Version: 203.2 - SDK 10.9
          iSightAudio: Version: 7.7.3 - SDK 10.9
iTunes Plug-ins:
          Quartz Composer Visualizer: Version: 1.4 - SDK 10.9
User Internet Plug-ins:
          Picasa: Version: 1.0 - SDK 10.6 3rd-Party support link
3rd Party Preference Panes:
          FUSE for OS X (OSXFUSE)  3rd-Party support link
Old Applications:
          None
Time Machine:
          Time Machine not configured!
Top Processes by CPU:
               2%          WindowServer
               1%          EtreCheck
               1%          locationd
               0%          sysmond
               0%          coreservicesd
Top Processes by Memory:
          336 MB          Finder
          336 MB          Safari
          172 MB          iTunes
          164 MB          Dock
          156 MB          softwareupdated
Virtual Memory Information:
          1.68 GB          Free RAM
          4.74 GB          Active RAM
          615 MB          Inactive RAM
          989 MB          Wired RAM
          555 MB          Page-ins
          0 B          Page-outs

Answer 1

After the PRAM reset did you reboot the MBP and the projector?
If not, connect and power up the projector, the power up MBP.
The monitor itself could be on the way out, is there another monitor you can check it on.
Another thing you can try is a VGA cable with the DVI adapter and see if that performs better.
You can also try a different cable, since it worked fine in the past, I'm just trying to help you.
check some of these out:
http://support.apple.com/kb/TS4045
http://support.apple.com/kb/HT3382
http://support.apple.com/kb/PH7342
http://support.apple.com/kb/PH7219
I hope you can find something here, it's hard to source problems when the device(s) are not in front of you.
Let me know how this works for you,
All the best