A FLC RECEIVED A TCASII RA ON DEP FROM STL.

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AT APPROX XA00 WE WERE ISSUED A TKOF CLRNC FROM STL TWR FROM RWY 30L; TO FLY HDG 340 DEGS; CLB AND MAINTAIN 5000 FT. SHORTLY AFTER TKOF AT APPROX 1500 FT AGL; WE RECEIVED A 'TFC; TFC' TA FOLLOWED BY A 'DSND; DSND; DSND' RA. AS THE PF; I RESPONDED WITH A REVERSAL FROM A 1500 FPM CLB TO A 2000 FPM DSCNT TO MEET THE RA RESPONSE REQUIRED. SECONDS AFTER; WE RECEIVED A GPWS 'TERRAIN; TERRAIN' WARNING; AT WHICH TIME I STOPPED THE DSCNT AND STARTED A CLB WITH THE TERRAIN IN SIGHT. THE CAPT ADVISED ATC OF THE NMAC AND ATC ISSUED A CLRNC TO CLB TO 6000 FT R TURN TO 360 DEGS. I DID SEE THE INTRUDER ACFT AFTER BEGINNING THE DSCNT. ATC ADVISED THEY WOULD BE LOOKING INTO THE INCIDENT. I BELIEVE THE CREW RESPONDED PROPERLY AND THAT TCASII AND GPWS WORKED WELL IN INCREASING THE LEVEL OF SAFETY. CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING INFO: THE RPTR STATES THE INTRUDING ACFT HAD DEPARTED A NEARBY ARPT AND WAS ATTEMPTING RADIO CONTACT WITH THE STL TWR. IT IS UNKNOWN IF THE TWR HAD RADAR CONTACT WITH THE INTRUDING ACFT. ACCORDING TO RPTS GIVEN TO ONE OF THE CREW MEMBERS; THE INTRUDING ACFT CAME WITHIN 810 FT HORIZ AND 400 FT VERT.