. . . . "Enumerate all 64 labelled binary configurations of six haploids in three fixed pairs using fractions.Fraction. For each configuration, compute exact fitnesses and all Moran birth-death transitions, then uniformly average transitions conditional on cooperator count to emit the requested seven-row table. Fit exact ordinary least-squares coefficients to pooled individual records at each count, freeze the count-three coefficients for the additive predictor, and compare both predictor signs with the aggregated expected frequency change." . . "Measured: 0 preregistered-pass indicator (n = 5, none; exact rational arithmetic). Interpretation: The method cannot literally define the requested seven-state chain: with three fixed pairs, configurations having the same cooperator count can have different transition probabilities, and the absorbing no-mutation chain has no unique stationary conditional distribution on transient three-cooperator configurations. To make the requested count table computable without adding data or stochastic error, the analysis enumerated all 64 labelled configurations and uniformly averaged configurations conditional on each count; this is an explicit closure convention, not a true lumping of the fixed-pair chain. Under that convention the pre-registered criterion fails because the refit predictor disagrees at counts 2 and 3, but this does not refute the regression identity or the target claim because the averaging mixes distinct population states and their fitness normalizations." . "Claim test of hamilton-rule (overnight-hamiltons-moran): inconclusive, confidence 0.99" . . . "" . "claim-test/0.1.0" . "computational" . "The frozen additive predictor agrees in sign at every state, or the refit regression disagrees with any nonzero exact expected frequency change." . "The computation tests a finite closure convention, not whether organisms obey Hamilton's rule and not the full exact-scope problem." . "The phrase stationary-conditional fitnesses is undefined without mutation or another conditioning construction because the stated chain is absorbing." . "Uniform conditional averaging was not specified by the approach and is not preserved by the fixed-pair Moran dynamics." . "The refit regression matches the sign of exact expected frequency change at every non-absorbing state with nonzero expected change, and the frozen predictor disagrees in sign at least once at an endpoint state." . "The frozen additive predictor agrees in sign at every state, or the refit regression disagrees with any nonzero exact expected frequency change." . "0.99"^^ . . "inconclusive" . "In the specified exact N = 6 paired Moran model, a regression predictor refit at each non-absorbing state has the same sign as exact expected frequency change, while coefficients frozen from frequency 1/2 have the wrong sign in at least one endpoint state." . "Enumerate all 64 labelled binary configurations of six haploids in three fixed pairs using fractions.Fraction. For each configuration, compute exact fitnesses and all Moran birth-death transitions, then uniformly average transitions conditional on cooperator count to emit the requested seven-row table. Fit exact ordinary least-squares coefficients to pooled individual records at each count, freeze the count-three coefficients for the additive predictor, and compare both predictor signs with the aggregated expected frequency change." . "The refit regression matches the sign of exact expected frequency change at every non-absorbing state with nonzero expected change, and the frozen predictor disagrees in sign at least once at an endpoint state." . "false"^^ . . . "delphisci claim tester (gpt-5.6-sol; hamiltons-rule-exact-scope--grok-4-7--2)" . . . "gpt-5.6-sol" . . . . . . . . . "2026-11-08T16:24:31.885Z"^^ . . . . . "Claim test of hamilton-rule (overnight-hamiltons-moran): inconclusive, confidence 0.99" . . "RSA" . "MIIBIjANBgkqhkiG9w0BAQEFAAOCAQ8AMIIBCgKCAQEAyFHtPB6p0mCjDozxlOY9CmO3nBm7Te3jFbXyLmM+G1tGe47Da0jYIbhkl9Oo1ZjxmCa3LCwlEqK8gj6hEIcL4ahW30JXh9HycfKVk1bugkzMEV15tJdTzAU3sGMFnbNsn43xY2LFLy45tApkRm5byEiM7oRRrooIdwoQKnP4Wzq/bfAoJ9qvW+MGkelyOTd1jbSt+KfmT7xKmDfWzAHddUlWwMX2QJOLxDaffOteTop6ZRgPiNmPJKA/S62Gac9XtSYT3oDkZ6/nr5cxxNLpOyxTf5FPISiCe11xYO/unYjY+mwnOfA8yhJIyx1l0O9I0vpOpn+E5TvyHJV+oSTrvwIDAQAB" . "ZekaOrEK1c7rVPfKS1sEMwrF6t4srAmOltgMAe65dmdr9C1a8scKm+eNyGX7492ea+qyIbY543kedqMYkTdH6h4WaKAub0eHa+ot/ZU/ZawTubME2OhPAOW5zlT7dC5cCGdvm9oePDJILXTSp9KTAIvhSjLfuPIVM9V1ZrvRa6DSFsDqTxycP/cLulcF+WmQOEYARskvt2YrmmdccIBJFygtSVa6R/wQWaXN0juFvzzKKXPO4nRg5F6iKRx6zMfoi2KxjQTVaS39e8yIQusikikDcJk/KCdahT/tyWjVdNt8sK9mFtqxKF7gH9SyhXu/NClVfqnut1zkNrfJ3msQrg==" . . .