ACR X HAD LESS THAN STANDARD RADAR SEPARATION FROM ACR Y. ACR X RESPONDED TO CLRNC FOR ACR Z SAME COMPANY. SYS ERROR.

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ACR X WAS ISSUED TFC 1 O'CLOCK 8 MI SAME DIRECTION AT 170; ACR Y WAS TOLD TO MAINTAIN 160. ACR X RPTED IMC. ACR Y TOLD TO MAINTAIN A 090 DEG HDG FOR CLBING TFC. ACR Y ACKNOWLEDGED. ACR Z; 15 MIT ACR X; ISSUED CLRNC TO CLB TO FL230 AND MAINTAIN A 030 DEG HDG FOR CLB. ACR X RPTED TFC IN SIGHT AND MAINTAINING 160. I TOLD ACR X THE CLRNC WAS FOR COMPANY TO MAINTAIN 160. THEN I SAID AGAIN ACR Z CLB AND MAINTAIN FL230 FLY HDG OF 030 FOR CLB. ACR X SAID AGAIN I HAVE TFC IN SIGHT LEAVING 160 FOR FL230. I OBSERVED ACR X LEAVING 163 WITH ACR Y ONLY 3.5 TO 4 MI S OF ACR Y. I TOLD ACR X TO MAINTAIN 160. ACR X SAID I'M LEAVING 175. I TOLD HIM IN THAT CASE CLB AND MAINTAIN FL230. I THINK I SHOULD HAVE GOTTEN ACKNOWLEDGEMENT FROM ACR X FOR MAINTAINING 160 TO CLARIFY SITUATION. I WAS CONFUSED BECAUSE I THOUGHT I HAD TRANSPOSED CALL SIGNS BUT COULDN'T BE SURE. ACR X SHOULD HAVE LISTENED BETTER TO A CLRNC GIVEN AT LEAST TWICE. ACR Z NEEDED TO LISTEN UP TOO BECAUSE HE NEVER ACKNOWLEDGED CLRNC OR EVEN QUESTIONED IF HE HAD GOTTEN ONE.