Darklands Puzzle #19

A door blocks the path. An inscription reads:
ALL THE FACES ARE LYING.
THREE FACES ARE NAMED REPIN, GOLIBERT, AND HANSU.
On the wall are six numbered faces, who speak:
One: Press Face Two to open the door.
Two: Press Golibert to open the door.
Three: At least one of Golibert, Hansu and Repin is an odd-numbered face.
Four: Face Six is Repin.
Five: Press an odd-numbered face to open the door.
Six: I am Hansu.
The door may (does. ed.) hide a trap! You think, then press...
...Face One.
...Face Two.
...Face Three.
...Face Four.
...Face Five.
...Face Six.

(Source: Darklands cluebook by MicroProse Software)

Three's statement means that none of Golibert, Hansu and Repin is an odd-numbered face, meaning that all names are to be assigned to even-numbered faces. The statements of Four and Six preclude the possibility that Six is either Repin or Hansu, meaning that Six is Golibert. Five's statement means that one must press an even-numbered face to open the door. One's statement precludes the possibility that Two opens the door and Two's statement precludes the possibility that Golibert (i.e. Six) opens the door. The only face left is Four.