{
  "format": "proofdama-three-row-cell-relation-audit-v1",
  "relation": "delete_one_arbitrary_three_site_cell_at_any_cut",
  "proof_semantics": "greatest strong bisimulation, one-ply alternating simulations, and weak two-ply move/response simulations contained in the syntactic cell relation",
  "small_benchmark": "6x3x1",
  "large_benchmark": "8x3x1",
  "small_certificate_format": "dama-reduced-wld-proof-v1",
  "large_certificate_format": "dama-reduced-wld-proof-sharded-v2",
  "geometry": {
    "small_width": 6,
    "large_width": 8,
    "height": 3,
    "initial_rows": 1
  },
  "small_root_result": "draw",
  "large_root_result": "draw",
  "counts": {
    "small_nodes": 469144,
    "relation_keys_examined": 164922712,
    "matched_relation_keys": 31490699,
    "candidate_pairs": 30694340,
    "initially_compatible_pairs": 30600733,
    "surviving_pairs": 1523793,
    "fixed_point_iterations": 17,
    "surviving_outcome_mismatches": 0
  },
  "surviving_cut_histogram": {
    "0": 506752,
    "1": 247490,
    "2": 294255,
    "3": 569022
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  "root": {
    "small_node": "n246955",
    "large_node": "n0",
    "candidate": true,
    "survives_greatest_bisimulation": false,
    "cut_witnesses": [
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      2,
      3
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    "removal": {
      "iteration": 3,
      "reason": "small transition to n21 has no related large response",
      "small_node": "n246955",
      "small_fen": "W:W7,8,9:B1,2,3",
      "large_node": "n0",
      "large_fen": "W:W9,10,11,12:B1,2,3,4",
      "cuts": [
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  },
  "white_non_losing": {
    "controlled_player": "white",
    "initially_compatible_pairs": 20423174,
    "surviving_pairs": 3466498,
    "fixed_point_iterations": 25,
    "root_survives": false,
    "surviving_outcome_contradictions": 0,
    "strategy_states_before_minimization": 3466498,
    "minimized_strategy_states": 0,
    "root_minimized_state": null,
    "root_removal_reason": "no related non-losing controlled response"
  },
  "black_non_losing": {
    "controlled_player": "black",
    "initially_compatible_pairs": 18651991,
    "surviving_pairs": 3282134,
    "fixed_point_iterations": 24,
    "root_survives": false,
    "surviving_outcome_contradictions": 0,
    "strategy_states_before_minimization": 3282134,
    "minimized_strategy_states": 0,
    "root_minimized_state": null,
    "root_removal_reason": "opponent transition to n5 has no related small response"
  },
  "finite_pair_draw_closed": false,
  "two_ply_white_non_losing": {
    "controlled_player": "white",
    "response_horizon_plies": 2,
    "initially_compatible_pairs": 20423174,
    "surviving_pairs": 4084852,
    "fixed_point_iterations": 12,
    "root_survives": false,
    "surviving_outcome_contradictions": 0,
    "root_removal_reason": "no related non-losing controlled move/response round"
  },
  "two_ply_black_non_losing": {
    "controlled_player": "black",
    "response_horizon_plies": 2,
    "initially_compatible_pairs": 18651991,
    "surviving_pairs": 3795042,
    "fixed_point_iterations": 12,
    "root_survives": false,
    "surviving_outcome_contradictions": 0,
    "root_removal_reason": "opponent transition to n5 cannot be closed after the controlled response"
  },
  "two_ply_finite_pair_draw_closed": false,
  "universal_induction_claim": "the selected one-ply and two-ply cell relations are insufficient on this finite certified width pair",
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