Indiana Jones

It was a typical day for Indiana Jones, who found himself risking death for a mythical and tasteless artifact. This particular day Indiana was in the crypts of still undiscovered Inca temple. There were 3 doors in front of him, above which hang a writing. Luckily, Indiana had just read 'Inca for dummies' and could easily translate the inscription. The writing said, 'there is a golden rug behind one of these three doors but beware of the nasty monsters behind 2 others'. ' To aid you in making your choice there are signs on each door, but they may be either true or false.' Which door hides the golden rug?

Door 1. At least one of the signs is false

Door 2. First Door leads to the rug if the third door does not.

Door 3. The rug is not behind the second door