POTENTIAL CONFLICT BTWN 2 SAME COMPANY ACR ACFT; OPPOSITE DIRECTION WITH CLB THROUGH OCCUPIED ALT. SYS ERROR BY TNCC CTLR ON FLT FROM REINA BEATRIX INTL; ARUBA; TNCA.

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WE HAD LOSS OF SEPARATION ABOUT 5 MI NW OF DUNER INTXN ON G442 IN CURACAO TMA. ON THE GND; WITH BEATRIX TWR; WE HAD BEEN GIVEN A CLRNC THAT DIFFERED FROM OUR FLT PLAN. WE REQUESTED NEW ROUTING AND LATER WERE CLRED ALONG G442 TO MLY. ACTUALLY; WE WERE CLRED DIRECTLY TO LIDOL; G442; MLY. SHORTLY AFTER PASSING ABEAM DUNER; WE RECEIVED A TCAS TFC ALERT. WE WERE JUST OUT OF ABOUT FL310 CLBING TO FL350 AND TFC WAS AT FL330. WE PASSED ABOUT 1 MI NW; ONLY BECAUSE WE WERE NOT ACTUALLY ON THE AIRWAY DUE TO OUR CLRNC DIRECT TO LIDOL; AND ABOUT 900 FT ABOVE TFC WITHOUT AN RA. CURACAO DID NOT PROVIDE ANY INFO ABOUT THE TFC. HAD WE BEEN ON THE AIRWAY AND A LITTLE SLOWER TO CLB; THIS WOULD HAVE BEEN A VERY SERIOUS EVENT. CURACAO SEEMED UNCONCERNED ABOUT THE MISS. SUPPLEMENTAL INFO FROM ACN 560108: OUR FLT WAS CLBING THROUGH THEIR ALT WITH APPROX 8 NM NOSE TO NOSE SEPARATION. WE PASSED L TO L; WITH NO MORE THAN 1 NM LATERAL SEPARATION AND 900 FT VERT SEPARATION. BEATRIX TWR GAVE US AN INCORRECT INITIAL ENRTE CLRNC TO THE WRONG FIR/AIRWAY. THE SUBSEQUENT CLRNC GAVE US THE APPROX 1 NM LATERAL OFFSET PRIOR TO THE CONFLICT. CLRNC TO CLB TO FL350 WAS GIVEN BY CURACAO AFTER LEVELING AT FL050; JUST N OF THE FIELD. THE TCAS ALERT DID NOT UPGRADE TO AN RA DURING THE EVENT.