ACR X CLB TO OCCUPIED ALT HAD LTSS FROM ACR Y. TCASII TA RA DSCNT FROM ASSIGNED ALT. EVASIVE ACTION TAKEN. SYS ERROR.

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I WAS WORKING CYN R58 ACR X WAS SBOUND CLBING TO FL310. ACR Y WAS NBOUND DIRECT JFK AT FL330. ACR X WAS REQUESTING FL350 IN FLT PLAN OVER ORF WHICH REQUIRES COORD WITH R59 CTLR. ACR X HAD BEEN STOPPED AT FL310 BECAUSE OF OPPOSITE DIRECTION TFC. TO GET ACR X TO REQUESTED ALT IT WAS NECESSARY TO SHORTEN HIS RTE TO KEEP HIM IN FRONT OF CONVERGING TFC UNDER CTL OF R59. ACR X WAS ISSUED DIRECT SBY. ACR Y DATA TAG WAS CONSTANTLY BEING OVERLAPPED BY SBOUND DATA TAGS SO IT WAS PLACED ON /3 LEADER LENGTH. AT THIS TIME A POINT OUT WAS MADE BY R19 ON AN ACFT DIRECT JFK LNDG BOSTON AND I BECAME DISTR TRYING TO DETERMINE HOW HE WOULD FIT WITH ANOTHER ACFT LNDG BOS. ACR X RPTED LEVELING FL310 AND REQUESTED HIGHER. I TOLD HIM TO STAND BY AND CHKED WITH R59 ON ACR X'S CONVERGING SBOUND TFC. I THEN ISSUED A CLB TO FL350 TO ACR X. THE CONFLICT ALERT ACTIVATED AND I REALIZED LOSS OF SEPARATION WOULD OCCUR. A TURN WAS ISSUED TO ACR X TO TURN R AND TO ACR Y TO FLY HDG 320 DEG. ACR Y RPTED A TCASII RA AND SAID HE WAS DSNDING. I TOLD ACR Y TO MAINTAIN FL310. I MEANT TO TURN ACR X L BUT SAID R INSTEAD OF L. I FELT PRESSURE TO GET ACR X TO REQUESTED ALT; HAD I NOT LET ACR X DISTR ME WHEN HE REQUESTED HIGHER AND MADE ANOTHER TFC SEARCH FOR THE TFC I HAD STOPPED HIM FOR; NO LOSS OF SEPARATION WOULD HAVE OCCURRED. THERE IS ALWAYS A GREAT DEAL OF PRESSURE FROM OTHER CTLRS AND FROM PLTS TO GET ACFT TO REQUESTED ALT; PRIOR TO THIS OCCURRING IT HAD BEEN SUGGESTED BY OTHER CTLRS TO VECTOR ACFT TO ALT AND WITH THIS IN MIND I WAS WORKING ON HIGHER FOR ACR X. SUPPLEMENTAL INFO FROM ACN 197937. WHILE AT CRUISE FL330; OUR TCASII ALERTED US TO TFC FOLLOWED BY AN IMMEDIATE COMMAND TO DSND. AT APPROX THE SAME TIME ATC INSTRUCTED US TO TURN L TO A 320 DEG (90 DEG L TURN) CAPT TOLD ATC WE WERE DSNDING DUE TO A TCASII COMMAND. ATC TOLD US ROGER; MAINTAIN FL310. AS WE ACCOMPLISHED THIS MANEUVER OUR CONFLICT TFC PASSED BY US. THE CONFLICT TFC WAS ACR X OPPOSITE DIRECTION CLBING TO FL350 AS INSTRUCTED BY ATC. WE LATER LEARNED THE CTLR FAILED TO PROVIDE SEPARATION. WITHOUT THE TCASII WE PROBABLY WOULD NOT BE AROUND TO WRITE THIS RPT.