TIRED CREW GIVES ARTHUR KILL 2 SID CURSORY GLANCE AND EXPECTS TO BE PROVIDED A VECTOR AFTER THE INITIAL HDG.

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I BRIEFED THE SID TWICE AND THE CAPT BRIEFED IT AS WELL (SEE COPY). WE ARE DEPARTING RWY 22L. I STARTED BRIEFING IT AS IT READS ON THE TOP R SIDE OF THE PAGE; 'NEWARK; NJ; ARTHUR KILL 2 DEP (VECTOR).' GOING DOWN THE PAGE TO WHERE IT READS: ARTHUR KILL 2 DEP (VECTOR) I READ 'TKOF RWYS 22L/R.' BUT I STOPPED AFTER MAINTAIN 5000 FT. NEEDLESS TO SAY; THAT IS ALL WE DID. NEITHER ME NOR MY CAPT CAUGHT THIS ERROR. WE TOOK OFF AND TURNED 190 DEGS TO 2.3 DME; THEN 260 DEGS AND MAINTAINED THAT UNTIL ATC TOLD US THAT WE NEED TO READ THE SID A LITTLE BETTER AND TO TURN R TO 270 DEGS TO JOIN THE 100 DEG RADIAL OFF THE SOLBERG VOR TO PARKE INTXN. WE MADE OUR TURN; BUT NEVER HAD TO COMPLETE THE SID. WE LATER GOT VECTORS TO INTERCEPT J60; WHICH WE WERE SET UP FOR IN THE FIRST PLACE. WE KNOW OF NO CONFLICTS TO THIS SIT. THERE SEEMS TO BE 2 CONTRIBUTING FACTORS THAT LED UP TO THIS OCCURRENCE. #1 AND MOST IMPORTANT IS FATIGUE. LET ME EXPLAIN. MY COMPANY HAD CHANGED MY 4 DAY TRIP INTO A 3 DAY TRIP; WHERE ON MY ORIGINAL 4TH DAY I WOULD SIT TIME AVAILABLE. ANOTHER WORD FOR RESERVE. THE CAPT I FLEW WITH FOR MY 3 DAY TRIP WAS THE SAME ONE THAT CAME OUT ON THAT 4TH DAY TO DO THIS TRIP TO EWR. HE IS ON RESERVE ANYWAY. I FINISHED MY 3 DAY TRIP ON JUL/XX/98 AROUND XA30. I CALLED SCHEDULING AND TOLD THEM WHAT HOTEL I WAS GOING TO STAY AT. I FINALLY GOT TO SLEEP AROUND XK30. AT XO15 I RECEIVED A CALL FROM SCHEDULING TELLING ME THAT THEY HAVE A TRIP FOR ME THAT DEPARTS AT XR15. I THEN SET MY ALARM CLOCK FOR XP15 SO AS TO TRY AND GET SOME MORE SLEEP; BUT TO NO AVAIL. I WAS UP FOR GOOD. I FELT OK FOR THE FIRST LEG; BUT WHILE ON THE GND IN EWR I STARTED TO DOZE OFF WHILE SITTING IN THE BACK OF THE ACFT. WITH ONLY 3 HRS AND 45 MINS OF SLEEP; IT WAS TAKING ITS TOLL ON ME IN EWR. I DID NOT READ PAST 'MAINTAIN 5000 FT.' THIS IS WHERE I AM GETTING INTO THE SECOND FACTOR OF THE OCCURRENCE. I CONSIDER THIS SID A LITTLE CONFUSING. WHEN IT READS VECTOR AT THE TOP AND AGAIN RIGHT BEFORE YOU READ THE TKOF PORTION OF THE SID; IT WOULD SEEM THAT THIS WHOLE SID WOULD BE VECTORS. THE CORRECTIVE ACTION IN THIS SIT WOULD BE TO GET THE SLEEP REQUIRED TO FUNCTION PROPERLY. EVEN IF IT MAY CAUSE DELAYS. SOME CHANGES IN THE SID MAY HELP; SUCH AS: REMOVING THE WORDS 'VECTOR' FROM THE SID. IT IS NOT VECTORS IF YOU HAVE TO INTERCEPT RADIALS TO A VOR AND THEN TO AN INTXN. ALSO MAKE THE WORD 'THENCE' IN BOLD LETTERS AS THEY DO WITH THE WORD 'MAINTAIN.'