NAV ERROR -- WRONG SID.

Narrative

ATC ENGLISH WAS EXTREMELY POOR; BUT IT APPEARED THAT WE WERE CLRED OFF RWY 13 FOR AN 'IP2' SID. OUR COMPANY ONLY PROVIDED 1 SET OF COM PLATES WHICH WERE KEPT ON THE FO'S SIDE. I ASKED HIM TO FIND THE 'IP2 SID' CHART BUT HE SAID THAT THERE WASN'T ONE; SO I ASKED HIM TO PASS ME ALL THE BOGOTA CHARTS SO THAT I COULD CHK FOR MYSELF. I DID NOT FIND THE CHART THERE. WE DID FIND A 'IP1 SID' CHART; HOWEVER; SO AS OUR CHARTS HAD NOT BEEN AMENDED BY OUR COMPANY I ASSUMED THAT THE 'IP2' MUST BE A MODIFICATION OF THE IP1 DEP. WE ATTEMPTED TO CLARIFY THIS WITH ATC; BUT THEY DID NOT UNDERSTAND. WE TOOK OFF ON RWY 12 AND TURNED R AFTER TKOF IN ACCORDANCE WITH THE IGN 1 SID. AT 1000 FT THE CTLR ASKED US WHY WE HAD TURNED R WHEN THE IGN 2 SID CALLED FOR A L TURN; ALTHOUGH WE HAD NO KNOWLEDGE OF THIS. THERE WAS NO CONFLICT OR FURTHER COMMENT FROM THE CTLR; HOWEVER; WE HAD OBVIOUSLY FLOWN THE WRONG SID. MUCH LATER IN THE FLT; THE FO 'FOUND' THE CHART FOR THE 'IGN 2' SID IN HIS BRIEFCASE. HIS OVERALL PERFORMANCE WAS SO BAD THAT HIS EMPLOYMENT HAS SINCE BEEN TERMINATED. THIS WAS MY FIRST VISIT TO BOGOTA; AND I BELIEVE THAT THE INCIDENT WOULD NOT HAVE HAPPENED IF 2 SETS OF CHARTS HAD BEEN PROVIDED BY THE COMPANY. FLT FATIGUE WAS ALSO A FACTOR AS WE HAD BEEN ON DUTY 16 HRS PRIOR TO THE EVENT; THIS AFTER A MINIMUM 12 HRS REST; PRECEDED BY 14 HR DUTY PERIOD.