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Game declared draw when my OP lost on time?

Game link: lichess.org/F7K53DC69TBL
My opponent lost on time but the game result was declared a draw for my opponent by Lichess. Here is a quote from Lichess's FAQ:

"Losing on time, drawing and insufficient material

In the event of one player running out of time, that player will usually lose the game. However, the game is drawn if the position is such that the opponent cannot checkmate the player's king by any possible series of legal moves (FIDE handbook §6.9).

In rare cases this can be difficult to decide automatically (forced lines, fortresses). By default we always side with the player who did not run out of time.

Note that it can be possible to mate with a single knight or bishop if the opponent has a piece that could block the king."

If my opponent ran out of time, why did I not receive a win?
You quote it yourself. "However, the game is drawn if the position is such that the opponent cannot checkmate the player's king by any possible series of legal moves (FIDE handbook §6.9)." Is this unclear?

In the final position, having only a bare king, you were unable to checkmate your opponent by any possible series of legal moves.
@Brian-E
According to the FIDE Handbook (handbook.fide.com/chapter/E012023) my opponent would have had sufficient material to win through promotion but their flag fell before that was achieved. Therefore, my opponent lost on time and the game should not have been a draw and a win for myself.
@fromode Could you quote the relevant part of that document where it states what you just said?
Here's the first relevant article from the handbook:

Article 5: The Completion of the Game

5.1.1 The game is won by the player who has checkmated his/her opponent’s king. This immediately ends the game, provided that the move producing the checkmate position was in accordance with Article 3 and Articles 4.2 – 4.7.

5.1.2 The game is lost by the player who declares he/she resigns (this immediately ends the game), unless the position is such that the opponent cannot checkmate the player’s king by any possible series of legal moves. In this case the result of the game is a draw.

5.2.1 The game is drawn when the player to move has no legal move and his/her king is not in check. The game is said to end in ‘stalemate’. This immediately ends the game, provided that the move producing the stalemate position was in accordance with Article 3 and Articles 4.2 – 4.7.

5.2.2 The game is drawn when a position has arisen in which neither player can checkmate the opponent’s king with any series of legal moves. The game is said to end in a ‘dead position’. This immediately ends the game, provided that the move producing the position was in accordance with Article 3 and Articles 4.2 – 4.7.

5.2.3 The game is drawn upon agreement between the two players during the game, provided both players have made at least one move. This immediately ends the game.

And, here's the rule Lichess references in their FAQ:

6.9 Except where one of Articles 5.1.1, 5.1.2, 5.2.1, 5.2.2, 5.2.3 applies, if a player does not complete the prescribed number of moves in the allotted time, the game is lost by that player. However, the game is drawn if the position is such that the opponent cannot checkmate the player’s king by any possible series of legal moves.
@fromode said in #1:
> In the event of one player running out of time, that player will usually lose the game. However, the game is drawn if the position is such that the opponent cannot checkmate the player's king by any possible series of legal moves (FIDE handbook §6.9).

The player that ran out of time is Docfish.
Their opponent (you) cannot checkmate by any possible sequence of moves.
Therefore, the game is drawn.

Docfish could still checkmate if they had time but this is not relevant.

Hope that helped.
@Jhyn
I understand that I cannot checkmate with a solitary King. However, my opponent would have achieved checkmate through pawn promotion but their flag fell. Therefore, according to FIDE rules (6.9) they should have lost. Please see the previous posting where I pasted the relevant articles from the FIDE Handbook.
@fromode #5 I see nothing there which states what you wrote in #3. None of the articles from section 5 applies to your situation in your game. So §6.9, in particular the sentence which begins "However...", takes effect and the game is drawn.
Read again what you posted: if you run out of time,

"[...] the game is drawn if the position is such that *the opponent* cannot checkmate [...]"

If a player runs out of time, the only question is : can the other player still checkmate?
Docfish ran out of time,
the opponent is you
You cannot checkmate
Therefore the game is drawn, according to the rule.
@Brian-E
Correct. Which is why the following quote from article 6.9 is relevant: "...if a player does not complete the prescribed number of moves in the allotted time, the game is lost by that player."