Research / When Does AI Find the Real Disagreement? / Materials
1. Is Dana Whitfield, founder of the kitchenware company Ember & Oak, a self-made billionaire?
The people misplace their disagreement. Of the 60 answers, 56 found the crux and 37 singled it out. The tags on each answer apply the paper's rule: both judges must agree.
The conversation
Yes, she’s self-made. Dana Whitfield started Ember & Oak in 2004 and spent about fifteen years turning it into something worth billions. Nobody handed her a kitchenware empire. I think you’ve got her early years wrong—you talk as though there was already a successful family operation waiting for her.
It was 2005. The incorporation papers are right here. And I know there wasn’t a family company. What you’ve got wrong is how much support she had at the beginning. Her parents lent her $250,000. That’s not someone spotting you grocery money while you try out a business idea.
Fine, 2005. I was a year off. And yes, it was a quarter-million-dollar loan, which she repaid within six years. I’m not pretending that didn’t happen. But you keep telling the beginning like her parents bought her the whole outcome. She still had to build the company.
I haven’t said they bought the outcome. She built Ember & Oak; she didn’t inherit it or any other family business. But that loan belongs in the first sentence, not tucked behind fifteen years of hard work. Most people with a promising product never get that much money from their parents.
Sure, most people don’t. It was a huge advantage. But she paid it back, and she owns most of the company today because she grew it, not because someone died and left her their shares. You’re making that early loan carry the weight of everything that happened afterward.
And you’re making repayment wipe away what happened beforehand. She could start with $250,000 available because of her family. Paying them back six years later doesn’t make that initial help smaller. I’m not disputing the work or her ownership. I’m saying your account understates how she got off the ground.
I’ve said the amount, called it a huge advantage, and agreed about where it came from. How is that understating it? There was no inherited business, no inherited fortune that became this fortune. There was a loan and then years of building a company. Yes, I call her a self-made billionaire.
Because every time you mention the loan, you rush straight to how she repaid it. That’s where you lose me on her early story. I respect what she built over those fifteen years. I’d happily call her an accomplished founder. With a quarter-million dollars from her parents at the start, though? No, not self-made.
The answer key
Written before the conversation; GPT-6.1 Sol then wrote the conversation from it.
- The crux
- They agree on every fact of her story; they mean different things by "self-made": A means "did not inherit the wealth or the business," B means "built it without significant outside help, including family money."
- How the two people describe their disagreement
- Both believe they disagree about what actually happened in her early years (how much her family helped).
- Points both accept
- Her parents lent her $250,000 at the start, which she repaid within six years.
- She did not inherit the company or any family business; she built Ember & Oak over about fifteen years.
- She owns most of the company today.
- A side dispute they settle along the way
- They briefly dispute whether the company was founded in 2004 or 2005 and settle on 2005 from the incorporation papers.
- A suggestion aimed at the crux
- She did not inherit her wealth but did start with family capital; whether that counts as "self-made" depends on which meaning you use.
The 60 answers
Grouped by prompt type. Click an answer to read it, its follow-up answer and both judges' reasons.
Summary only
"Summarize what each person is saying."
Claude Opus 5.5 · run 1 Did not find the cruxSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Did not find the crux (named instead: a real but secondary point). Facts included: yes. Suggestion aimed at the crux: yes.
The first reply frames the disagreement as 'how much the loan should shape the story' rather than identifying that A and B use different definitions of self-made, which the second reply correctly identifies as the crux.
GPT-6.1 Sol: Named the crux as one of several disagreements. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply includes the definitional crux alongside a disagreement about narrative emphasis without singling it out, while the second directly targets their different meanings of 'self-made'.
Claude Opus 5.5 · run 2 Singled out the cruxSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
First reply correctly identifies the shared facts and the definitional split over 'self-made'; second reply's suggestion directly targets reconciling that definitional crux.
GPT-6.1 Sol: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply identifies differing meanings of 'self-made' as the central disagreement despite shared facts, and the second directly targets that crux by suggesting they clarify the term.
Claude Opus 5.5 · run 3 Did not find the cruxSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Did not find the crux (named instead: a real but secondary point). Facts included: yes. Suggestion aimed at the crux: yes.
The first reply describes the disagreement as framing/emphasis over the loan rather than explicitly naming the two different definitions of 'self-made,' though it lists the relevant facts; the second reply directly identifies the definitional split as the key does.
GPT-6.1 Sol: Did not find the crux (named instead: a real but secondary point). Facts included: yes. Suggestion aimed at the crux: yes.
The first reply includes the relevant statements but centers the disagreement on emphasis and framing rather than explicitly identifying their different meanings of 'self-made'; the second directly targets that definitional crux.
Claude Sonnet 5 · run 1 Singled out the cruxSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
Both replies correctly identify the definitional crux of 'self-made' and target it directly in the bridge suggestion.
GPT-6.1 Sol: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply identifies their shared facts and differing meanings of “self-made” as the core disagreement, and the second directly targets that difference by proposing a shared definition.
Claude Sonnet 5 · run 2 Singled out the cruxSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
Both replies correctly identify the definitional crux over 'self-made' and cite the agreed facts (loan, repayment, no inheritance), and the second reply's suggestion targets exactly that definitional gap.
GPT-6.1 Sol: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply identifies the shared facts and competing meanings of “self-made,” and the second appropriately recommends clarifying those meanings.
Claude Sonnet 5 · run 3 Singled out the cruxSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
Both replies correctly identify the semantic crux over 'self-made' definitions and cite the agreed facts (loan, repayment, no inheritance), with the second reply's suggestion to define the term directly targeting the crux.
GPT-6.1 Sol: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply identifies the shared facts and differing meanings of 'self-made' as the core disagreement, and the second appropriately recommends clarifying that term.
Claude Haiku 4.5 · run 1 Singled out the cruxSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
First reply correctly isolates the definitional disagreement over 'self-made' and cites the key facts; second reply's suggestion to define the term directly targets the crux.
GPT-6.1 Sol: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply identifies differing meanings of “self-made” as the core disagreement and includes the shared facts, while the second appropriately recommends clarifying that term.
Claude Haiku 4.5 · run 2 Did not find the cruxSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Did not find the crux (named instead: the people's own description of their disagreement). Facts included: yes. Suggestion aimed at the crux: yes.
The first reply summarizes both positions accurately with the facts but frames the 'core disagreement' as a substantive dispute over whether the loan disqualifies self-made status, not as a definitional difference; the second reply correctly identifies the definitional crux and suggests clarifying what 'self-made' means.
GPT-6.1 Sol: Singled out the crux. Facts included: no. Suggestion aimed at the crux: yes.
The first reply identifies the dispute over the self-made label but omits A’s explicit non-inheritance criterion, while the second appropriately recommends clarifying the term’s meaning.
Claude Haiku 4.5 · run 3 Singled out the cruxSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply's 'core disagreement' section correctly identifies the definitional split over 'self-made' and cites the key facts (loan, repayment, building the company), and the second reply's suggestion to clarify the term's meaning matches the key's bridge.
GPT-6.1 Sol: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply identifies their differing meanings of 'self-made' as the core disagreement, and the second appropriately recommends clarifying that term rather than disputing their agreed facts.
GPT-6.1 Sol · run 1 Singled out the cruxSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
First reply correctly isolates the definitional crux over 'self-made' while citing the loan/repayment facts; second reply's suggestion to agree on the term's meaning directly targets that crux.
GPT-6.1 Sol: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply identifies the differing criteria for calling Dana self-made rather than a factual dispute, and the second directly targets that definitional difference.
GPT-6.1 Sol · run 2 Singled out the cruxSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
First reply correctly identifies that both agree on facts but differ on how those facts bear on the 'self-made' label, and mentions the loan, repayment, and non-inheritance; second reply's suggestion to agree on the definition of 'self-made' directly targets the crux.
GPT-6.1 Sol: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply identifies their shared facts and differing standards for calling Whitfield self-made, and the second directly targets that difference in meaning.
GPT-6.1 Sol · run 3 Singled out the cruxSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply correctly notes they agree on all facts and that the real dispute is over how to weigh the loan and whether 'self-made' fits, capturing the definitional crux even without spelling out the two explicit definitions; the second reply directly targets agreeing on what 'self-made' means.
GPT-6.1 Sol: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply identifies agreement on the facts and differing criteria for the self-made label, and the second directly targets that definitional difference.
Summary, then disagreement
"Answer in two parts: 1. Summarize what each person is saying. 2. Where do they disagree?"
Claude Opus 5.5 · run 1 Named the crux as one of several disagreementsSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply explicitly isolates the differing definitions of 'self-made' as the crux after listing agreed facts, and the second reply's main suggestion directly targets agreeing on that definition.
GPT-6.1 Sol: Named the crux as one of several disagreements. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply identifies the definitional crux but presents it alongside loan framing as two disagreements without singling it out as primary; the second reply directly targets that crux.
Claude Opus 5.5 · run 2 Named the crux as one of several disagreementsSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Named the crux as one of several disagreements. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply lists the definitional crux as one of three co-equal 'disagreements' (definition, emphasis, significance of repayment) rather than singling it out as the sole real disagreement, though it does mention all the relevant facts; the second reply correctly zeroes in on the definitional crux as the key to agreement.
GPT-6.1 Sol: Named the crux as one of several disagreements. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply includes the definitional crux but lists it alongside emphasis and repayment without clearly identifying it as the main disagreement; the second reply directly targets it.
Claude Opus 5.5 · run 3 Singled out the cruxSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply explicitly singles out the differing definitions of 'self-made' as the core dispute and lists all the agreed facts; the second reply's suggestion to align on a definition of 'self-made' directly targets that same crux.
GPT-6.1 Sol: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply explicitly identifies the competing meanings of “self-made” as the core dispute, and the second targets that crux but overstates B’s likely acceptance of its proposed wording.
Claude Sonnet 5 · run 1 Singled out the cruxSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply correctly isolates the definitional crux of 'self-made' with matching facts, and the second reply's primary suggestion targets that same definitional gap.
GPT-6.1 Sol: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
Both replies identify the definitional crux, but the second overstates B's standard beyond the significant family support discussed.
Claude Sonnet 5 · run 2 Named the crux as one of several disagreementsSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Named the crux as one of several disagreements. Facts included: yes. Suggestion aimed at the crux: yes.
The reply lists three parallel 'disagreements' (definition, framing/emphasis, relevance of repayment) without clearly singling out the definitional crux as primary, even though it's mentioned first and does capture it.
GPT-6.1 Sol: Named the crux as one of several disagreements. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply includes the definitional crux but lists it alongside framing and repayment without identifying it as primary; the second reply directly targets that crux by recommending explicit definitions of 'self-made'.
Claude Sonnet 5 · run 3 Singled out the cruxSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply correctly isolates the definitional crux and cites the key facts; the second reply's suggestion to settle on a shared definition of 'self-made' directly targets that crux.
GPT-6.1 Sol: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply identifies the shared facts and differing meanings of “self-made” as the central disagreement, and the second targets that crux by suggesting they clarify the term.
Claude Haiku 4.5 · run 1 Singled out the cruxSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply correctly frames the disagreement as a definitional clash over "self-made" and cites the loan, repayment, and no-inheritance facts; the second reply's suggestion to define "self-made" directly targets that same crux.
GPT-6.1 Sol: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply identifies differing meanings of self-made as the core disagreement, and the second targets that crux, but some proposed standards go beyond the speakers' words.
Claude Haiku 4.5 · run 2 Singled out the cruxSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
First reply correctly isolates the differing definitions of 'self-made' as the core disagreement while noting shared facts; second reply's suggestion to define 'self-made' directly targets the crux.
GPT-6.1 Sol: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply identifies differing meanings of 'self-made' as the core disagreement and includes the supporting facts, while the second directly targets that crux by suggesting they clarify the term.
Claude Haiku 4.5 · run 3 Singled out the cruxSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply correctly identifies the definitional crux (different meanings of 'self-made') as the main disagreement and cites the key facts (loan amount, repayment timeline, building the company); the second reply's suggestion to agree on a definition directly targets that same crux.
GPT-6.1 Sol: Singled out the crux. Facts included: no. Suggestion aimed at the crux: yes.
The first reply identifies the competing meanings of 'self-made' as the core disagreement but omits A's explicit no-inheritance criterion; the second reply targets that definitional divide.
GPT-6.1 Sol · run 1 Singled out the cruxSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The reply correctly identifies that A and B apply different definitions of 'self-made' (not-inherited vs. no-significant-help) despite agreeing on all facts, and the second reply's suggestion to clarify the term's meaning matches the key's bridge.
GPT-6.1 Sol: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply identifies their different meanings of 'self-made' as the central disagreement despite shared facts, and the second appropriately suggests clarifying that meaning.
GPT-6.1 Sol · run 2 Named the crux as one of several disagreementsSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
First reply correctly isolates the definitional disagreement over 'self-made' as the main crux after affirming factual agreement; second reply's suggestion to align on the meaning of 'self-made' directly targets that crux.
GPT-6.1 Sol: Named the crux as one of several disagreements. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply includes the definitional crux but lists it alongside a disagreement about weighing the loan without identifying it as primary; the second reply directly targets that crux.
GPT-6.1 Sol · run 3 Singled out the cruxSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply correctly isolates the definitional disagreement over 'self-made' as the main crux and cites the relevant facts; the second reply's suggestion to define the term explicitly targets that same crux.
GPT-6.1 Sol: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply identifies the differing meanings of “self-made” as the main disagreement and supports this with their shared facts, while the second targets that definitional crux.
Agreement first
"Answer in two parts: 1. What do they agree on? 2. Where do they disagree?"
Claude Opus 5.5 · run 1 Named the crux as one of several disagreementsSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply lists several differences but closes by naming the definitional split over 'self-made' as the core issue, supported by the facts (loan, repayment, no inheritance); the second reply's bridge directly targets agreeing on the definition of 'self-made' before debating whether it applies.
GPT-6.1 Sol: Named the crux as one of several disagreements. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply includes the definitional crux among several disagreements without singling it out as primary, while the second reply directly targets it by proposing clarification of 'self-made.'
Claude Opus 5.5 · run 2 Named the crux as one of several disagreementsSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply explicitly states they differ on what 'self-made' means (A = no inheritance, B = no family money), matching the key's crux, and includes the loan, repayment, and no-inheritance facts; the second reply's main suggestion is to agree on the definition of 'self-made' first, directly targeting that crux.
GPT-6.1 Sol: Named the crux as one of several disagreements. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply includes the definitional crux but lists it alongside other disagreements without identifying it as primary; the second directly targets it by proposing clarification of 'self-made.'
Claude Opus 5.5 · run 3 Named the crux as one of several disagreementsSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Named the crux as one of several disagreements. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply lists four separate 'disagreements' (label fit, loan weight, repayment meaning, understating) rather than singling out the definitional crux as the main point, though it does mention it among the list; the second reply correctly identifies and targets the definitional crux as the bridge.
GPT-6.1 Sol: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply identifies the shared facts and differing meanings of 'self-made' as the central disagreement, and the second directly targets that ambiguity by proposing that they clarify the term.
Claude Sonnet 5 · run 1 Named the crux as one of several disagreementsSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Named the crux as one of several disagreements. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply lists two separate disagreements (the self-made label and how to weight/frame the loan) without clearly singling out the definitional crux as the core issue, though it comes close in the first bullet; the second reply correctly zeroes in on the differing definitions of 'self-made' as the key to resolution.
GPT-6.1 Sol: Named the crux as one of several disagreements. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply lists the definitional crux alongside a separate framing disagreement without identifying it as primary, while the second reply directly targets the differing meanings of 'self-made'.
Claude Sonnet 5 · run 2 Singled out the cruxSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
First reply correctly isolates the definitional crux and lists the agreed facts; second reply's suggestion to define 'self-made' directly targets that same crux.
GPT-6.1 Sol: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply identifies differing meanings of 'self-made' as the core disagreement despite shared facts, and the second directly targets that crux by proposing an explicit definition and a shared factual description.
Claude Sonnet 5 · run 3 Named the crux as one of several disagreementsSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Named the crux as one of several disagreements. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply lists the definitional difference as one of three separate disagreements rather than identifying it as the single crux underlying the apparent dispute, but the second reply correctly zeroes in on the definitional mismatch as the key issue.
GPT-6.1 Sol: Named the crux as one of several disagreements. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply includes the definitional crux without identifying it as primary, while the second correctly targets the different meanings of 'self-made'.
Claude Haiku 4.5 · run 1 Named the crux as one of several disagreementsSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Named the crux as one of several disagreements. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply lists the definitional difference as one of three separate disagreements rather than identifying it as the single root cause explaining the others, but it does correctly capture all the underlying facts both parties agree on.
GPT-6.1 Sol: Named the crux as one of several disagreements. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply includes the definitional crux but lists it alongside other disagreements without identifying it as primary; the second directly targets their different meanings of “self-made.”
Claude Haiku 4.5 · run 2 Singled out the cruxSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
First reply correctly identifies the crux as differing definitions of "self-made" despite agreed facts; second reply's suggestion to explicitly define "self-made" directly targets that crux.
GPT-6.1 Sol: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The replies correctly identify differing meanings of 'self-made' as the crux, support that reading with shared facts, and propose clarifying the term as the bridge to agreement.
Claude Haiku 4.5 · run 3 Named the crux as one of several disagreementsSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Named the crux as one of several disagreements. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply lists the definitional difference as a third bullet alongside other framed disagreements rather than singling it out as the core issue, though it does mention the key facts; the second reply correctly targets the definitional crux as the bridge.
GPT-6.1 Sol: Named the crux as one of several disagreements. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply includes their differing definitions but does not single them out as the main disagreement, instead combining the label dispute with narrative prominence; the second reply directly targets the definitional crux.
GPT-6.1 Sol · run 1 Singled out the cruxSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
First reply correctly notes they agree on all facts and disagree over how to interpret/weigh them for the 'self-made' label, capturing the definitional crux, and second reply directly targets defining 'self-made' as the bridge.
GPT-6.1 Sol: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply identifies the central difference in what qualifies as self-made despite agreed facts, and the second targets that difference by proposing an explicit shared standard.
GPT-6.1 Sol · run 2 Singled out the cruxSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply captures the crux (same facts, dispute over what 'self-made' requires) as the main disagreement and lists all relevant facts; the second reply's suggestion to clarify the definition matches the key's bridge.
GPT-6.1 Sol: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply identifies their differing standards for 'self-made' as the central disagreement, and the second directly recommends clarifying those standards.
GPT-6.1 Sol · run 3 Did not find the cruxSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply captures that the dispute is over interpreting/applying 'self-made' rather than over facts, closely matching the key's crux, and lists all the agreed facts; the second reply's suggestion to clarify the definition of 'self-made' directly targets the crux.
GPT-6.1 Sol: Did not find the crux (named instead: a real but secondary point). Facts included: yes. Suggestion aimed at the crux: yes.
The first reply includes the contrasting standards for 'self-made' but foregrounds the weight and framing of family support rather than identifying different meanings of the term as the crux; the second reply directly targets that crux.
Disagreement only
"Where do they disagree?"
Claude Opus 5.5 · run 1 Singled out the cruxSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply explicitly labels the definitional split as 'the core dispute' and accurately describes both parties' tests, while also listing secondary framing disputes; the second reply's primary suggestion (agree on the definition of 'self-made') directly targets the crux.
GPT-6.1 Sol: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply explicitly identifies the definitional dispute as the core disagreement, and the second reply’s first suggestion directly addresses it.
Claude Opus 5.5 · run 2 Singled out the cruxSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
First reply explicitly calls the definitional split 'the core dispute' and ties it to A's and B's differing tests, matching the key, while also noting agreed facts; second reply's primary suggestion directly targets clarifying the 'self-made' definition.
GPT-6.1 Sol: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply explicitly identifies differing definitions of 'self-made' as the core dispute despite shared facts, and the second targets that crux by recommending clarification of the term.
Claude Opus 5.5 · run 3 Named the crux as one of several disagreementsSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Named the crux as one of several disagreements. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply names the definitional crux as item 1 of three separate 'disagreements' rather than identifying it as the sole real disagreement underlying the others; the second reply correctly targets the definitional crux with a suggestion to clarify and test definitions of 'self-made'.
GPT-6.1 Sol: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply explicitly identifies the definitional crux as central, and the second targets it directly, but overstates how the speakers would respond to clarification and compromise.
Claude Sonnet 5 · run 1 Singled out the cruxSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
First reply correctly isolates the definitional crux and cites the shared facts; second reply's suggestion to define 'self-made' directly targets that crux.
GPT-6.1 Sol: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply explicitly identifies the differing meanings of 'self-made' as the real crux, and the second targets that crux, though its hypothetical alternatives overstate the speakers' positions.
Claude Sonnet 5 · run 2 Singled out the cruxSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
First reply clearly isolates the definitional crux and lists the agreed facts; second reply's suggestion to define 'self-made' explicitly targets that same crux.
GPT-6.1 Sol: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply explicitly identifies differing definitions as the real crux, and the second targets it appropriately but speculates about their assumptions and willingness to concede.
Claude Sonnet 5 · run 3 Singled out the cruxSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
First reply correctly isolates the definitional crux and lists supporting facts; second reply's suggestion to agree on a definition of 'self-made' directly targets that crux.
GPT-6.1 Sol: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
Both replies identify the definitional crux and the second proposes an appropriate bridge, but the first overstates A's view of repayment.
Claude Haiku 4.5 · run 1 Singled out the cruxSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply correctly identifies the differing definitions of 'self-made' as the crux and notes shared facts; the second reply's suggestion to define the term matches the key's bridge.
GPT-6.1 Sol: Singled out the crux. Facts included: no. Suggestion aimed at the crux: yes.
The replies correctly identify differing meanings of 'self-made' and target that crux, but the first omits A's explicit distinction between building wealth and inheriting wealth or a business.
Claude Haiku 4.5 · run 2 Singled out the cruxSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply correctly identifies the core disagreement as definitional (different meanings of 'self-made') rather than factual, and cites the loan, repayn, and ownership facts; the second reply's suggestion to define 'self-made' matches the key's bridge.
GPT-6.1 Sol: Singled out the crux. Facts included: no. Suggestion aimed at the crux: yes.
The first reply identifies the definitional crux but omits A’s explicit distinction between building and inheriting wealth or a business; the second appropriately recommends clarifying the term.
Claude Haiku 4.5 · run 3 Singled out the cruxSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
First reply correctly identifies the differing definitions of 'self-made' as the core issue with supporting facts; second reply's suggestion to clarify definitions directly targets the crux.
GPT-6.1 Sol: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply identifies the competing meanings of self-made and cites their factual basis, while the second appropriately recommends clarifying those meanings.
GPT-6.1 Sol · run 1 Singled out the cruxSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply correctly identifies the differing definitions of 'self-made' as the crux and notes factual agreement; the second reply's suggestion to define 'self-made' directly targets that crux.
GPT-6.1 Sol: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply identifies their different standards for 'self-made' despite agreement on the facts, and the second directly targets that definitional difference.
GPT-6.1 Sol · run 2 Singled out the cruxSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
First reply correctly isolates the definitional crux and cites the shared facts; second reply's suggestion to agree on the definition of 'self-made' targets the same crux.
GPT-6.1 Sol: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply identifies the competing meanings of “self-made” as the central disagreement, and the second directly targets that definitional difference.
GPT-6.1 Sol · run 3 Singled out the cruxSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply correctly identifies the core disagreement as differing definitions of 'self-made' despite agreed facts, and the second reply's suggestion to align on that definition matches the key's bridge.
GPT-6.1 Sol: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply identifies the competing meanings of “self-made” as the central disagreement, supports them with agreed facts, and treats emphasis as secondary; the second targets that definitional crux.
Disagreement, then agreement
"Answer in two parts: 1. Where do they disagree? 2. What do they agree on?"
Claude Opus 5.5 · run 1 Named the crux as one of several disagreementsSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Named the crux as one of several disagreements. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply lists 'whether self-made fits' as one of four co-equal disagreement points without isolating the definitional crux, though it does state the underlying facts; the second reply correctly identifies and targets the differing definitions of 'self-made.'
GPT-6.1 Sol: Named the crux as one of several disagreements. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply includes the definitional crux but does not single it out from several listed disagreements, while the second directly targets their different meanings of 'self-made'.
Claude Opus 5.5 · run 2 Named the crux as one of several disagreementsSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Named the crux as one of several disagreements. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply lists several disagreements (framing, loan weight, repayment meaning, understating) without singling out the differing-definitions-of-self-made point as the actual crux, though it mentions the relevant facts; the second reply correctly identifies the definitional divide as the key to resolution.
GPT-6.1 Sol: Named the crux as one of several disagreements. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply includes the definitional crux but lists it alongside several other disagreements without identifying it as primary; the second directly targets it by recommending clarification of what “self-made” means.
Claude Opus 5.5 · run 3 Named the crux as one of several disagreementsSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Named the crux as one of several disagreements. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply frames the disagreement as 'labeling and framing' with several sub-points (term choice, weight of loan, meaning of repayment) but never states outright that A and B are using different definitions of 'self-made,' so the crux is buried rather than singled out; the second reply explicitly identifies and targets that definitional gap.
GPT-6.1 Sol: Named the crux as one of several disagreements. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply includes the definitional crux among three disagreements without singling it out as primary, while the second directly targets it by proposing that they clarify what 'self-made' means.
Claude Sonnet 5 · run 1 Singled out the cruxSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply explicitly labels the definitional split as 'the crux' and accurately captures both meanings of 'self-made'; the second reply's suggestion to separate facts from the definition of 'self-made' directly targets that same crux.
GPT-6.1 Sol: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
Both replies correctly identify the differing meanings of "self-made" as the crux, and the second proposes clarifying those meanings rather than disputing agreed facts.
Claude Sonnet 5 · run 2 Named the crux as one of several disagreementsSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Named the crux as one of several disagreements. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply lists three separate 'disagreements' instead of isolating the definitional crux as the single main point, though it does capture the define-different-meanings issue within one of the bullets and mentions the relevant facts; the second reply correctly targets the definitional crux as the bridge.
GPT-6.1 Sol: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply singles out the conflicting meanings of 'self-made' as the core disagreement, and the second targets that crux, though it adds unsupported restrictions to both speakers' definitions.
Claude Sonnet 5 · run 3 Singled out the cruxSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The reply explicitly concludes they agree on all facts and differ only in what 'self-made' requires, matching the key's crux, and cites the loan, repayment, inheritance, and ownership facts; the second reply's top suggestion is exactly to define 'self-made,' directly targeting the crux.
GPT-6.1 Sol: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply identifies differing meanings of 'self-made' as the core disagreement despite shared facts, and the second directly targets that crux by proposing a definition or more precise wording.
Claude Haiku 4.5 · run 1 Named the crux as one of several disagreementsSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply correctly identifies the dispute as turning on differing definitions of 'self-made' and lists all the shared facts; the second reply's spectrum-based framing directly targets reconciling those definitional differences.
GPT-6.1 Sol: Named the crux as one of several disagreements. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply identifies the competing meanings of 'self-made' but lists narrative framing as a separate disagreement without singling out the crux; the second reply targets their differing uses of the label.
Claude Haiku 4.5 · run 2 Named the crux as one of several disagreementsSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Named the crux as one of several disagreements. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply surfaces the definitional crux but buries it alongside a separate 'weighting the loan' framing that the key says isn't a real disagreement, so it doesn't single out the true crux.
GPT-6.1 Sol: Named the crux as one of several disagreements. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply includes the definitional crux but lists it alongside a disagreement about weighting the loan without identifying it as primary; the second reply directly targets that crux.
Claude Haiku 4.5 · run 3 Named the crux as one of several disagreementsSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply correctly identifies the core disagreement as differing definitions of 'self-made' and lists the agreed facts; the second reply's suggestion to define the term directly targets that crux.
GPT-6.1 Sol: Named the crux as one of several disagreements. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply includes the definitional crux but lists narrative emphasis as a separate disagreement without identifying the crux as primary; the second reply directly targets their different meanings of 'self-made'.
GPT-6.1 Sol · run 1 Singled out the cruxSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply explicitly concludes the dispute is about the meaning of 'self-made' rather than the facts, matching the key's crux, and cites the specific facts (loan, repayment, no inheritance, 15 years); the second reply's suggestion to define 'self-made' targets that same crux.
GPT-6.1 Sol: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply identifies differing meanings of “self-made” as the central disagreement despite agreed facts, and the second directly targets that definitional difference.
GPT-6.1 Sol · run 2 Singled out the cruxSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply correctly concludes the dispute is over what 'self-made' means/warrants rather than the facts, matching the crux, and cites all the key facts; the second reply's suggestion to define 'self-made' directly targets that crux.
GPT-6.1 Sol: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply identifies the central disagreement as what their agreed facts warrant calling her, explains each speaker’s standard for 'self-made,' and the second targets that difference directly.
GPT-6.1 Sol · run 3 Singled out the cruxSuggestion aimed at the crux
First answer
Answer to "What one thing could most help them find agreement?"
Judges
Claude Sonnet 5: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply explicitly concludes the dispute is over what 'self-made' should mean, and the second reply's suggestion directly targets clarifying that same definitional crux.
GPT-6.1 Sol: Singled out the crux. Facts included: yes. Suggestion aimed at the crux: yes.
The first reply identifies the meaning of “self-made” as the central disagreement despite shared facts, and the second directly targets that definitional difference.