Being an Eagle Scout and having done some rock climbing and rappelling, I can say that rope is only as strong as the knot that holds it together. A rope rated to 1600 lbs instantly gets a rating of 0 lbs if the knot pulls out.
That said, I would refer to R10, part D:
Quote:
R10
Teams must supply at least two (2) attachment points for the belaying device (see Section 2.2.5) to mount to their ROBOTS. Attachment points must be:
A easily accessible after the ROBOT has CLIMBED the PYRAMID,
B on opposite sides of the ROBOT,
C located near the ROBOT’S balance point, and
D made from exposed structural members that will allow a rope to be wrapped around it or two eyelets (McMaster PN3014T45 or similar) mounted to the frame. Opening of the eyelets must be at least ¾ in. in diameter.
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I wouldn't consider rope to be structural or similar to the referenced McMaster eyelet.