In the pre-2014 FIDE Laws of Chess article 10 said this:
Article 10: Quickplay Finish
10.1 A ‘quickplay finish’ is the phase of a game when all the (remaining) moves must be made in a limited time.
10.2 If the player, having the move, has less than two minutes left on his clock, he may claim a draw before his flag falls. He shall summon
the arbiter and may stop the clocks. (See Article 6.12.b)
a. If the arbiter agrees the opponent is making no effort to win
the game by normal means, or that it is not possible to win by normal
means, then he shall declare the game drawn. Otherwise he shall
postpone his decision or reject the claim.
b. If the arbiter postpones his decision, the opponent may be
awarded two extra minutes and the game shall continue, if possible in
the presence of an arbiter. The arbiter shall declare the final result
later in the game or as soon as possible after a flag has fallen. He
shall declare the game drawn if he agrees that the final position
cannot be won by normal means, or that the opponent was not making
sufficient attempts to win by normal means.
c. If the arbiter has rejected the claim, the opponent shall be
awarded two extra minutes time.
d. The decision of the arbiter shall be final relating to (a), (b) and
(c).
In the 2014 to 2017 FIDE Laws of Chess this moved to Appendix G and was expanded.
Appendix G. Quickplay Finishes
G.1 A ‘quickplay finish’ is the phase of a game when all the remaining
moves must be completed in a finite time.
G.2 Before the start of an event it shall be announced whether this
Appendix shall apply or not.
G.3. This Appendix shall only apply to standard play and rapidplay
games without increment and not to blitz games.
G.4 If the player having the move has less than two minutes left on
his clock, he may request that a time delay or cumulative time of an
extra five seconds be introduced for both players, if possible. This
constitutes the offer of a draw. If refused, and the arbiter agrees to
the request, the clocks shall then be set with the extra time; the
opponent shall be awarded two extra minutes and the game shall
continue.
G.5 If Article G.4 does not apply and the player having the move has
less than two minutes left on his clock, he may claim a draw before
his flag falls. He shall summon the arbiter and may stop the
chessclock (see Article 6.12 b). He may claim on the basis that his
opponent cannot win by normal means, and/or that his opponent has been
making no effort to win by normal means
If the arbiter agrees that the opponent cannot win by normal means, or
that the opponent has been making no effort to win the game by normal
means, he shall declare the game drawn. Otherwise he shall postpone
his decision or reject the claim. If the arbiter postpones his
decision, the opponent may be awarded two extra minutes and the game
shall continue, if possible, in the presence of an arbiter. The
arbiter shall declare the final result later in the game or as soon as
possible after the flag of either player has fallen. He shall declare
the game drawn if he agrees that the opponent of the player whose flag
has fallen cannot win by normal means, or that he was not making
sufficient attempts to win by normal means. If the arbiter has
rejected the claim, the opponent shall be awarded two extra minutes.
The movement from the main articles to an appendix is significant and this trend continued in 2017 and the latest version of the rules. In the latest version of the FIDE Laws of Chess it has moved to a new section "Guidelines".
It is not too dissimilar to the 2014-2017 version so I won't repeat it.
There are two key points:
- The arbiter requires real chess skill to fulfil his/her function. "The opponent cannot win by normal means" is not a straightforward decision to make. A minimum rating for arbiters would make a lot of sense. I believe such a suggestion has been made at the level of the Arbiters Commission and I will try and find a reference. I believe a rating somewhere in the region of 1700 to 1900 has been suggested and no doubt argued over.
- The clear trend for this rule is deprecation and elimination. The next revision of the rules is due in 2021. I think it is a better than even money bet that this rule (along with adjournments in Guidelines 1) goes away. If this happens the argument for a minimum rating for arbiters is much diminished but currently I don't see how an arbiter with only a weak grasp of the game could adjudicate such positions.