s1329 — IB-12: is m₁ = 0 a theorem of the neutrino ladder?
  O1                       {"m1_over_m3": "3/2 - sqrt(5)/2", "value": 0.381966, "ratio_pred": 0.27639, "ratio_meas": 0.030016, "factor": 9.21}
  O2                       {"R2": 0.17082, "R2_squared": 0.02918, "measured_ratio": 0.030016, "m2_over_m3_floor": 0.17325, "ratio_max_over_m1": 0.02918, "argmax_m1_squared_is_zero": true, "strictly_decreasing": true}
  O3_R144                  "ASSERTS m1 = 0 (p5, FENCE_REGISTRY O-M1-ZERO)"
  O4_occupation            "SILENT: O = {0,3,11,17} places the charged leptons and the up quark; the d-table lowest rung is d = 1 (CKM transfer), so d = 2 is not the lowest rung"
  O5_reversal              "SILENT: pairs the charged leptons with d = 1, 2, 3"
  O6                       {"two_heavy_max_sigma_min_over_max": "<1e-14", "three_heavy_min_sigma_min_over_max": ">1e-6", "dirac_3x3_min_sigma_min_over_max": ">1e-6"}
  sum_m_nu_meV_at_m1_zero  58.79
  sentences present       {"p5_literal": true, "p5_d1_rung": true, "p5_assert": true, "p5_floor": true, "p2_spectrum": true, "p2_dtable_d1": true, "p2_dtable_d2": true, "p2_reversal": true, "M_occupation": true, "X_majorana_2x2": true, "X_dirac_loaded": true}
  computed  PASS S0_every_cited_sentence_is_printed_where_named
  symbolic  PASS O1a_literal_ratio_is_phi_inv_over_root5
  symbolic  PASS O1b_literal_m1_over_m3_is_phi_to_minus2_nonzero
  computed  PASS O1c_literal_row_is_the_falsified_x9_21
  symbolic  PASS O2a_derivative_of_the_ratio_in_m1_squared
  symbolic  PASS O2b_R2_closed_form
  computed  PASS O2c_ratio_is_maximal_at_m1_zero_and_strictly_decreasing
  computed  PASS O2d_measured_exceeds_R2_squared_so_the_data_select_the_boundary
  computed  PASS O4_d2_is_not_the_lowest_rung_of_the_d_table
  computed  PASS O6a_two_heavy_states_force_a_massless_light_state
  computed  PASS O6b_CONTROL_three_heavy_states_and_the_dirac_branch_do_not
  computed  PASS O6c_the_record_types_neutrinos_dirac_loaded_and_names_the_majorana_branch_as_unbuilt
  computed  PASS C1_sum_m_nu_at_m1_zero_is_the_printed_58_79_meV
  argument  ARG  verdict
  argument  ARG  what_this_changes
VERDICT: NOT A THEOREM. No registered neutrino object forces m₁ = 0; the mass-rung typing makes it the data-selected boundary, and a two-heavy-state seesaw would force it on a branch the record has not built. The R144 assertion stands, now with its one conditional route named.
RESULT_HASH 52ddb1d1fdbacf3b
s1329: 9 computed, 4 symbolic, 0 receipt, 2 argument, 0 failed
