Answers.Body: <p>It should be winning:</p>
  <p>1.Kg1 Ra1+ (1...gxh4 runs into 2.Re4+, winning the f4-pawn) 2.Bf1 gxh4 3.Rb5+ Kd4 (3...Kf6 4.Rh5, and after Rxh4 it will be easily winning with just the f-pawns on the board) 4.Kf2 Ra2+ 5.Be2. And now White's rook will snag one of Black's pawns.</p>
  
Answers.ContentLicense: CC BY-SA 4.0
Answers.CreationDate: 2021-06-19T17:44:40.627Z
Answers.Text: Based on my [comment above](https://chess.stackexchange.com/questions/35372/can-this-3-9-advantage-be-converted-to-a-win#comment58110_35372), are the defenses to your line hard to find or inhuman?
Answers.UserDisplayName: SecretAgentMan
Answers.ContentLicense: CC BY-SA 4.0
Answers.CreationDate: 2021-06-19T23:11:46.860Z
Answers.Text: @SecretAgentMan I also used SF 13 to analyze these lines, but I didn't let it think to the levels of depth 62. After 1.Kg1 what move is given?
Answers.UserDisplayName: Inertial Ignorance
Answers.ContentLicense: CC BY-SA 4.0
Answers.CreationDate: 2021-06-19T14:25:13.517Z
Answers.LastActivityDate: 2021-06-19T14:25:13.517Z
Answers.UserDisplayName: Inertial Ignorance
Answers.Body: <p>Lines are no answers, at least if the long run counts ;-)</p>
  <p>First of all, it is necessary to know which piece-only endgames are drawn and which are won. RB/R is draw (even if a hell to defend, I'm talking from personal experience on the receiving and dishing end). So, first priority: Don't let the Pf3 drop. Luckily, the wB wears a large &quot;Hands Off&quot; sign. Second, your coordination is lousy. Black has good chances to play his king to e3 (your R will probably make a detour to h4, grabbing the P) and entangle your B and K into defending. Thus, next priority is improving your K and B position, without dropping the P. After that, stuff becomes merely technical (took me ten seconds to calculate in my head how to push the bK off the defense of the Pf4: a typical position after your pieces became active would be Ke4 Re6 Bg4 - Kg3 Rf8, now 1.Rg6 Re8+ 2.Be6+ or 1...~ 2.Bf5), especially as White can always offer a rook trade. After the Pf4 drops, just queen the Pf3. Black has at most a few lame stalemate traps.</p>
  <p>That said, <em>now</em> that you understand what are the long-term aims, you can put the position into Syzygy (after the h pawn drops) and play out a few concrete lines. For example, to get out of the rut, the computer temporarily plays the R to a3 to defend the Pf3, then (wK is on h3) the bishop from the lousy g2 via f1-d3 to e4, already forcing Black into defense mode. (Note that as Black I will play &quot;better&quot; than the computer in the sense that I choose the most annoying instead of the objectively best line.)</p>
  
Answers.ContentLicense: CC BY-SA 4.0
Answers.CreationDate: 2021-06-20T09:09:32.413Z
Answers.LastActivityDate: 2021-06-20T09:09:32.413Z
Answers.UserDisplayName: Hauke Reddmann
Body: <p>I reached this endgame, which Stockfish 10+ evaluates as <code>+3.9</code>, but failed to convert it to a win. I feel that it may be a draw after all. Is that the case?</p>
  <pre><code>[Title &quot;White to move&quot;]
  [FEN &quot;8/8/8/4k1p1/1R3p1P/5P1B/r4K2/8 w - - 8 57&quot;]
  </code></pre>
  
Comments.ContentLicense: CC BY-SA 4.0
Comments.CreationDate: 2021-06-19T14:34:49.597Z
Comments.Text: If you still have it, do you mind giving the line SF played? Just curious to see what it did.
Comments.UserDisplayName: Inertial Ignorance
Comments.ContentLicense: CC BY-SA 4.0
Comments.CreationDate: 2021-06-19T15:38:54.250Z
Comments.Text: Well, I see someone keeps downvoting me on this site. How unfriendly.
Comments.UserDisplayName: user21820
Comments.ContentLicense: CC BY-SA 4.0
Comments.CreationDate: 2021-06-19T17:43:45.353Z
Comments.Text: I was curious so I ran Stockfish 13+ NNUE out to depth 62. It evaluates Kg1, Kf1, and Ke1 all as 0.0 .  There may be a deeper win here. Further, this assumes perfect play so there may be parts of these lines that contain difficult-to-find moves for Black so White may have practical chances here.  I suspect that may be the case, though I haven't identified any yet.
Comments.UserDisplayName: SecretAgentMan
Comments.ContentLicense: CC BY-SA 4.0
Comments.CreationDate: 2021-06-19T18:05:00.340Z
Comments.Text: @SecretAgentMan: That's what I thought at first but after realizing that I can see the 7-piece endgame database on Lichess I'm sure InertialIgnorance is correct. If your SF version follows his/her given line, it is a confirmed win at the end. To turn the database on, click the Book icon. I didn't realize it myself until just now.
Comments.UserDisplayName: user21820
Tags: <endgame><evaluation><advantage><rook-and-minor-endgame>
Title: Can this '+3.9' advantage be converted to a win?
ThreadText: # Can this '+3.9' advantage be converted to a win?
  
  (Asked by: username_0 on 2021-06-19)
  
  I reached this endgame, which Stockfish 10+ evaluates as +3.9, but failed to convert it to a win. I feel that it may be a draw after all. Is that the case?
  [Title "White to move"]
  [FEN "8/8/8/4k1p1/1R3p1P/5P1B/r4K2/8 w - - 8 57"]
  
  **Tags:** endgame, evaluation, advantage, rook-and-minor-endgame
  
  > **Comments:**
  > **username_1**: If you still have it, do you mind giving the line SF played? Just curious to see what it did.  
  > **username_0**: Well, I see someone keeps downvoting me on this site. How unfriendly.  
  > **username_2**: I was curious so I ran Stockfish 13+ NNUE out to depth 62. It evaluates Kg1, Kf1, and Ke1 all as 0.0 .  There may be a deeper win here. Further, this assumes perfect play so there may be parts of these lines that contain difficult-to-find moves for Black so White may have practical chances here.  I suspect that may be the case, though I haven't identified any yet.  
  > **username_0**: @username_2: That's what I thought at first but after realizing that I can see the 7-piece endgame database on Lichess I'm sure InertialIgnorance is correct. If your SF version follows his/her given line, it is a confirmed win at the end. To turn the database on, click the Book icon. I didn't realize it myself until just now.  
  
  ---
  
  ## 2 answers
  
  ### Answer by username_1 on 2021-06-19. Score: 2 | Accepted answer
  
  It should be winning:
  
  1.Kg1 Ra1+ (1...gxh4 runs into 2.Re4+, winning the f4-pawn) 2.Bf1 gxh4 3.Rb5+ Kd4 (3...Kf6 4.Rh5, and after Rxh4 it will be easily winning with just the f-pawns on the board) 4.Kf2 Ra2+ 5.Be2. And now White's rook will snag one of Black's pawns.
  
  > **Comments:**
  > **username_2**: Based on my [comment above](https://chess.stackexchange.com/questions/35372/can-this-3-9-advantage-be-converted-to-a-win#comment58110_35372), are the defenses to your line hard to find or inhuman?  
  > **username_1**: @username_2 I also used SF 13 to analyze these lines, but I didn't let it think to the levels of depth 62. After 1.Kg1 what move is given?  
  
  ---
  
  ### Answer by username_3 on 2021-06-20. Score: 4
  
  Lines are no answers, at least if the long run counts ;-)
  
  First of all, it is necessary to know which piece-only endgames are drawn and which are won. RB/R is draw (even if a hell to defend, I'm talking from personal experience on the receiving and dishing end). So, first priority: Don't let the Pf3 drop. Luckily, the wB wears a large "Hands Off" sign. Second, your coordination is lousy. Black has good chances to play his king to e3 (your R will probably make a detour to h4, grabbing the P) and entangle your B and K into defending. Thus, next priority is improving your K and B position, without dropping the P. After that, stuff becomes merely technical (took me ten seconds to calculate in my head how to push the bK off the defense of the Pf4: a typical position after your pieces became active would be Ke4 Re6 Bg4 - Kg3 Rf8, now 1.Rg6 Re8+ 2.Be6+ or 1...~ 2.Bf5), especially as White can always offer a rook trade. After the Pf4 drops, just queen the Pf3. Black has at most a few lame stalemate traps.
  
  That said, *now* that you understand what are the long-term aims, you can put the position into Syzygy (after the h pawn drops) and play out a few concrete lines. For example, to get out of the rut, the computer temporarily plays the R to a3 to defend the Pf3, then (wK is on h3) the bishop from the lousy g2 via f1-d3 to e4, already forcing Black into defense mode. (Note that as Black I will play "better" than the computer in the sense that I choose the most annoying instead of the objectively best line.)
  
  
  ---
  
  