It had some issues installing relating to https://github.com/ValveSoftware/steam-for-linux/issues/881. But those were fixed by going into settings >Beta Participation and putting "NONE" there.

Now when I try to run Counter Strike nothing happends, Here's the log:

Game update: AppID 10 "Counter-Strike (Beta)", ProcID 3350, IP 0.0.0.0:0
ERROR: ld.so: object 'gameoverlayrenderer.so' from LD_PRELOAD cannot be preloaded: ignored.
Using breakpad crash handler
ERROR: ld.so: object 'gameoverlayrenderer.so' from LD_PRELOAD cannot be preloaded: ignored.
ERROR: ld.so: object 'gameoverlayrenderer.so' from LD_PRELOAD cannot be preloaded: ignored.
Failed to initalize authentication interface. Exiting...

Segmentation fault
Game removed: AppID 10 "Counter-Strike (Beta)", ProcID 3350 
saving roaming config store to 'sharedconfig.vdf'
roaming config store 2 saved successfully

System Information:

Processor Information:
    Vendor:  GenuineIntel
    Speed: 3067 Mhz
    4 logical processors
    3 physical processors
    HyperThreading:  Supported
    FCMOV:  Supported
    SSE2:  Supported
    SSE3:  Supported
    SSSE3:  Supported
    SSE4a:  Unsupported
    SSE41:  Supported
    SSE42:  Supported

Network Information:
    Network Speed:  

Operating System Version:
    Linux Mint 14 Nadia (64 bit)
    Kernel Name:  Linux
    Kernel Version:  3.5.0-17-generic
    X Server vendor:  The X.Org Foundation
    X Server release:  11300000

Video Card:
    Driver:  ATI Technologies Inc. ATI Radeon HD 5670

    Driver Version:  4.2.12002 Compatibility Profile Context 9.012
    Desktop Color Depth: 24 bits per pixel
    Monitor Refresh Rate: 60 Hz
    VendorID:  0x1002
    DeviceID:  0x68d8
    Number of Monitors:  1
    Number of Logical Video Cards:  1
    Primary Display Resolution:  1600 x 900
    Desktop Resolution: 1600 x 900
    Primary Display Size: 17,44" x 9,80"  (20,00" diag)
                                            44,3cm x 24,9cm  (50,8cm diag)
    Primary VRAM Not Detected

Sound card:
    Audio device: VIA VT1818S

Memory:
    RAM:  7975 Mb

Miscellaneous:
    UI Language:  English
    LANG:  es_VE.UTF-8
    Microphone:  Not set
    Total Hard Disk Space Available:  309873 Mb
    Largest Free Hard Disk Block:  154485 Mb

Installed software:

Recent Failure Reports:
    Sat Jan 26 22:57:37 2013 GMT: file ''/tmp/dumps/assert_20130126182727_1.dmp'', upload yes: ''CrashID=bp-378f9cc0-52a8-4663-aaf6-1632f2130126''

I'm using Catalyst 13.1 drivers