S80 PIC RPT ON POTENTIAL CONFLICT WITH UNKNOWN TFC ON DEP BUR. TCASII RA CALLED FOR DSCNT AS ACFT Y WAS 500 FT ABOVE. CTLR HAD ISSUED A TURN FOR THAT TFC. SINCE RPTR WAS ALREADY IN THE CLB AND A TURN; HE ELECTED TO IGNORE THE RA COMMAND AND CONTINUED HIS CLB. ACFT PASSED 1000 FT BEHIND ACR X AT SAME ALT. RPTR SAYS; 'TCASII SOFTWARE SHOULD BE FIXED.'

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ON CLBOUT FROM BUR AT ABOUT 7000 FT FOR 13000 FT; WE WERE GIVEN A R TURN BY TRACON TO AVOID OPPOSITE DIRECTION UNKNOWN TFC AHEAD. WHILE IN THE TURN WE GOT A TFC ALERT ON HIM. THE DISPLAY SHOWED TFC 12 O'CLOCK; 5 MI; ABOUT 500 FT ABOVE AND LEVEL. WE SEARCHED FOR THE TARGET WITHOUT SUCCESS WHILE I INCREASED OUR CLB RATE AND TURN RATE; ROLLING OUT A FEW DEGS R OF OUR ASSIGNED HDG FOR GOOD MEASURE. JUST THEN; WE GOT A TCASII RA 'REDUCE CLB' FOLLOWED IMMEDIATELY BY 'DSND.' FROM THE CHANGE IN THE RELATIVE BEARING OF THE TARGET ON THE TCASII DISPLAY AND THE SENSE THAT WITH OUR CLB RATE WE COULD GET SAFELY ABOVE HIM IN THE REMAINING DISTANCE; AND THE FACT THAT TRACON SEEMED HAPPY WITH OUR LATERAL SEPARATION; I JUDGED THAT THE SAFEST THING TO DO WAS KEEP CLBING AT OUR BEST RATE. WE QUICKLY PASSED THROUGH THE TARGET'S ALT AND WERE 200 FT OR 300 FT ABOVE HIM WHEN HE PASSED ABOUT 1 MI ABEAM ON THE L. AT THIS POINT THE TCASII RA CHANGED TO 'DSND XING DSND' THEN 'CLR OF CONFLICT.' THE LAST RA SEEMED PARTICULARLY MINDLESS AS WE WERE ALREADY ABOVE THE TARGET AND CLBING RAPIDLY. I THINK OUR TCASII MAY HAVE BEEN ATTEMPTING TO COORDINATE MANEUVERS WITH A NON EXISTENT TCASII ABOARD THE INTRUDER AND I FOILED ITS PLANS BY COUNTERMANDING ITS INITIAL INSTRUCTION; BUT THAT'S NO EXCUSE. THE TCASII SOFTWARE SHOULD BE FIXED.