ACR X CLBED TO OCCUPIED ALT HAD LTSS WITH Y. TCASII TA. SYS ERROR.

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ACR X AFTER TKOF ON DEP ORD RWY 32L CLBING TO 5000 FT MSL RWY HDG; CONTACTED DEP CTL (125.4) AND RECEIVED 'RADAR CONTACT.' NEW CLRNC IMMEDIATELY FOLLOWED TO CLB TO 6000 FT MSL AND INFORMED OF XING TFC AT 1 O'CLOCK; 5 MI AT 7000 FT MSL. WE OBSERVED AND CALLED TFC IN SIGHT (FOKER 100) WHICH PASSED R TO L IN FRONT OF US AS WE WERE CLBING THROUGH APPROX 4500 FT MSL. WITH RPTED TFC NOW AT 9 O'CLOCK APPROX 3 MI ABOVE US AND AS WE WERE CLBING THROUGH APPROX 5500 FT MSL ORD DEP CTL ORDERED US TO 'LEVEL OFF IMMEDIATELY.' OUR TCASII SIMULTANEOUSLY GAVE US A TA ON ACFT AT 1 O'CLOCK APPROX 2 MI AT 6300 FT MSL (COULD HAVE BEEN AT WBOUND VFR ALT SINCE IT WAS WBOUND IN TRAIL WITH FOKER 100 TFC PREVIOUSLY RPTED). NO TCASII RA WAS EVER RECEIVED DURING THIS INCIDENT. WE IMMEDIATELY LEVELED OFF AT 5700 FT MSL AND ASKED ORD DEP CTL FOR CLARIFICATION OF OUR CLB CLRNC. WE RECEIVED NO RESPONSE EXCEPT FURTHER INSISTENCE THAT WE LEVEL OFF IMMEDIATELY. WE THEN TOLD DEP CTL THAT WE WERE CLRED TO 6000 FT MSL AND WERE DSNDING BACK DOWN TO 5000 FT. DEP ACKNOWLEDGED OUR INTENTION WITH 'ROGER.' OBSERVED ON TCASII THAT CONFLICTING TFC HAD PASSED BEHIND AND ABOVE US WITH NO FURTHER CONFLICT.