{
  "schema_version": "ocme-reviewed-question-reader-v1",
  "question_id": "q-20260918-outcome-versus-event-role-0009",
  "pilot_number": "R0067-34134",
  "number": 34134,
  "family_id": "qf-outcome-versus-event-role",
  "title": {
    "zh-Hant": "第 34134 題：qf-outcome-versus-event-role",
    "en": "Question 34134: Outcome Versus Event"
  },
  "original_question": {
    "schema_version": "ocme-question-v0.1",
    "id": "q-20260918-outcome-versus-event-role-0009",
    "batch_id": "batch-20260918-finite-events",
    "language": "zh-Hant",
    "source_mko_ids": [
      "mko-event"
    ],
    "title_zh": "qf-outcome-versus-event-role",
    "stem_zh": "S={33, 34, 35}，F=P(S)。35 是單一結果；{35} 是事件。35 的角色是否為「事件集合」？",
    "answer": {
      "kind": "choice",
      "value": "否",
      "choices": [
        "是",
        "否"
      ],
      "explanation_zh": "35 是 S 的元素；{35} 才是結果集合形式的事件。"
    },
    "difficulty": {
      "band": "upper_secondary",
      "level": 1,
      "skills": [
        "結果與事件"
      ]
    },
    "variant": {
      "family_id": "qf-outcome-versus-event-role",
      "seed": 20261027,
      "parameters": {
        "S": [
          33,
          34,
          35
        ],
        "x": 35,
        "E": [
          35
        ],
        "F": "P(S)",
        "semantic_template": "qf-outcome-versus-event-role/{\"E\":[35],\"F\":\"P(S)\",\"S\":[33,34,35],\"x\":35}"
      }
    },
    "verification": {
      "status": "candidate",
      "checks": [
        "schema_pending",
        "independent_recomputation_pending"
      ],
      "warning_zh": "本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"
    },
    "provenance": {
      "generator_role": "question_producer",
      "generator_model": "GPT-5.6 Terra",
      "generated_at": "2026-09-18",
      "contract_version": "ocme-question-factory-v0.1"
    }
  },
  "original_english_edition": {
    "schema_version": "ocme-question-localization-v0.1",
    "question_id": "q-20260918-outcome-versus-event-role-0009",
    "batch_id": "batch-20260918-finite-events",
    "locale": "en",
    "translation_state": "ai_candidate",
    "source": {
      "question_sha256": "e9131ecc6a9337f847e52436072487f430ae9051b25bf7e49a73b95ef9957b2c",
      "family_id": "qf-outcome-versus-event-role",
      "seed": 20261027,
      "semantic_template": "qf-outcome-versus-event-role/{\"E\":[35],\"F\":\"P(S)\",\"S\":[33,34,35],\"x\":35}"
    },
    "fields": {
      "title": "Outcome Versus Event",
      "stem": "Let S={33, 34, 35} and F=P(S). 35 is a single outcome, while {35} is an event. Is the role of 35 “event set”?",
      "answer": {
        "kind": "choice",
        "value": "No",
        "choices": [
          "Yes",
          "No"
        ],
        "explanation": "35 is an element of S; {35} is the event written as a set of outcomes."
      },
      "skills": [
        "outcomes and events"
      ],
      "verification_warning": "This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."
    }
  },
  "givens": [
    {
      "id": "G001",
      "text": {
        "zh-Hant": "S={33, 34, 35}，F=P(S)。35 是單一結果；{35} 是事件。35 的角色是否為「事件集合」？",
        "en": "Let S={33, 34, 35} and F=P(S). 35 is a single outcome, while {35} is an event. Is the role of 35 “event set”?"
      }
    }
  ],
  "steps": [
    {
      "id": "S001",
      "uses": [
        "G001"
      ],
      "before": "source roles = [qf-outcome-versus-event-role, [E, F, S, x]]",
      "after": "derived = [BASE-no-required-operation, no-invented-domain]",
      "relation": "implies",
      "rule_id": "R67_SOURCE_specific_keys_operation_domain_and_numeric_bank",
      "conditions": [],
      "explanation": {
        "zh-Hant": "按本bank核keys與operation/domain：legacy為各表underscore，MOD50用local hyphen；BASE參數較寬不加未知欄限制。Number.isInteger與SAFE兩種來源界分開，原JSON數字表示仍完整保存。",
        "en": "Check THIS bank’s keys/operation/domain:legacy table underscores,MOD50 local hyphens;permissive BASE data acquires no unknown-field restriction.Keep Number.isInteger and SAFE source guards distinct,while preserving ORIGINAL JSON number representations."
      },
      "reverse_audit": {
        "kind": "premise_and_result_audit",
        "explanation": {
          "zh-Hant": "以本題原始角色、完整前提及欄序反查本步；區分單向推論與等價，並保留原題與英文、MKO、AST及審查狀態。不把有限核對冒充獨立審查或一般形式證明。",
          "en": "Reverse-audit THIS step against the ORIGINAL roles,complete premises and field order.Distinguish implication from equivalence;preserve originals,English,MKOs,ASTs and review states.Finite checks are not independent review or general formal proof."
        }
      },
      "arithmetic": null
    },
    {
      "id": "S002",
      "uses": [
        "G001",
        "S001"
      ],
      "before": "source roles = [[33, 34, 35], 35, [35], F=P(S)]",
      "after": "derived = [是, 是, 是]",
      "relation": "implies",
      "rule_id": "Event_COMPLETE_typed_sample_singleton_powerset_roles",
      "conditions": [],
      "explanation": {
        "zh-Hant": "完整明示sample S與F=P(S)，x是S的元素且E={x}確為事件。BASE整數不另加SAFE或100個上限；逐全部raw元素核型別/不重複，不憑名稱猜。",
        "en": "The COMPLETE declared sample is S with F=P(S);x is an element of S and E={x} is an event.BASE integers acquire no invented SAFE or100-item cap.Type EVERY raw element and reject duplicate set labels."
      },
      "reverse_audit": {
        "kind": "premise_and_result_audit",
        "explanation": {
          "zh-Hant": "以本題原始角色、完整前提及欄序反查本步；區分單向推論與等價，並保留原題與英文、MKO、AST及審查狀態。不把有限核對冒充獨立審查或一般形式證明。",
          "en": "Reverse-audit THIS step against the ORIGINAL roles,complete premises and field order.Distinguish implication from equivalence;preserve originals,English,MKOs,ASTs and review states.Finite checks are not independent review or general formal proof."
        }
      },
      "arithmetic": null
    },
    {
      "id": "S003",
      "uses": [
        "G001",
        "S002"
      ],
      "before": "source roles = [35, [35]]",
      "after": "derived = [outcome_element, singleton_event_set, 否]",
      "relation": "implies",
      "rule_id": "Event_OUTCOME_label_not_EVENT_set_in_THIS_role",
      "conditions": [],
      "explanation": {
        "zh-Hant": "x在此模型的角色是單一outcome，{x}才是以outcomes集合表示的event；不把x∈S和E⊆S混同。這是模型角色區別，不主張所有集合論本體中數永遠不可能是集合，也沒有指派機率。",
        "en": "In THIS model,x is the single OUTCOME LABEL;{x} is the EVENT SET of outcomes.Keep x∈S distinct from E⊆S.This is a role distinction,not a universal set-theoretic claim that numbers cannot be sets.No probability is assigned."
      },
      "reverse_audit": {
        "kind": "premise_and_result_audit",
        "explanation": {
          "zh-Hant": "以本題原始角色、完整前提及欄序反查本步；區分單向推論與等價，並保留原題與英文、MKO、AST及審查狀態。不把有限核對冒充獨立審查或一般形式證明。",
          "en": "Reverse-audit THIS step against the ORIGINAL roles,complete premises and field order.Distinguish implication from equivalence;preserve originals,English,MKOs,ASTs and review states.Finite checks are not independent review or general formal proof."
        }
      },
      "arithmetic": null
    }
  ],
  "math_model": {
    "result": "否"
  },
  "conclusion": {
    "canonical_value": "否",
    "explanation": {
      "zh-Hant": "依上列完整代值及條件核對得到原題答案；原題編號、格式與狀態保持不變。",
      "en": "The full substitutions and premise checks give the original answer; source identity,format and status are unchanged."
    }
  },
  "definition_note": {
    "zh-Hant": "沿用原題明示的論域、假設與來源 MKO 定義。本題已完成第二對話數理與中英語義覆核，並由原始參數逐題獨立重算模型、答案與每個算術步驟；原題仍為 candidate。",
    "en": "Use the original question domain, assumptions and cited MKO definitions. This item has second-context mathematical and bilingual review, with the model, answer and every arithmetic step independently recomputed from the original parameters; the source question remains a candidate."
  },
  "source": {
    "input_commit": "0f7be61e2c22317a4075561dc822c87d881a50db",
    "question_binding": {
      "batch_id": "batch-20260918-finite-events",
      "batch_path": "public/data/questions/batches/batch-20260918-finite-events/questions.jsonl",
      "batch_sha256": "5afdb8e28e1d24a99739443746e81c96f3b1342395fffe3676e3a0844c6bae1d",
      "original_line": 34,
      "original_line_sha256": "4d1e15f4d6925ad92deda07303db575a0a03a74a47407251ce17c6643f601a52",
      "question_compact_sha256": "e9131ecc6a9337f847e52436072487f430ae9051b25bf7e49a73b95ef9957b2c",
      "english_row_compact_sha256": "b386a1885ba4da19806e5e9ace1beec4cccbf91ab3f27a547b069439eb5e55d3",
      "english_manifest_path": "public/data/i18n/editions/batch-20260918-finite-events.en.json",
      "english_rows_path": "public/data/i18n/questions/batch-20260918-finite-events.en.jsonl"
    },
    "mko_bindings": {
      "mko-event": {
        "sha256": "5962ae6672cb79c34888bdda4ac66de557a4f9b21243f2445414d7dd326b9c74",
        "english_sha256": "12d8199c90226e08b52a3f9cf27ce44053dc8473e8bab4280145aea146a4c261",
        "original_path": "public/data/mko/event.json",
        "english_path": "public/data/i18n/editions/mko-event.en.json"
      }
    },
    "selected_manifest_sha256": "5233edba9654a6cffd8b6b2d83c932f82ded15f9c0b7c733bd049943e672acff",
    "selected_part_sha256": "6bb156cec7bdb6baf2497762702fc01f94fd1db55a5926bc575b12ff9237a4de",
    "original_candidate_sha256": "ad00fbadf8241387237d4193151e758e0b8121b7d21324b0570caf3aa96dae32",
    "original_candidate_line_sha256": "ad00fbadf8241387237d4193151e758e0b8121b7d21324b0570caf3aa96dae32"
  },
  "historical_source_state": {
    "review_state": {
      "derivation": "candidate_authored_and_locally_checked",
      "source_question_state": "candidate",
      "independent_AI_or_human_review": "NOT_PERFORMED",
      "formalization": "not_formalized",
      "Lean": "NOT_RUN"
    },
    "scope_note": {
      "zh-Hant": "來源綁定教學推導候選；精確核對不等於獨立AI／人工審查或一般形式證明。原題、答案、MKO、公式、AST與歷史不變。",
      "en": "Source-bound pedagogical derivation candidate.Exact checking is not independent AI/human review or general formal proof.Original questions,answers,MKOs,formulas,ASTs and history remain unchanged."
    },
    "label": "Frozen producer metadata; current per-question review is separate below."
  },
  "revision": {
    "id": "review-20261026-012-p68",
    "review_date": "2026-10-26",
    "owner_authorized_reader_publication": true,
    "scope": "One hundred sixty family prototypes and their mathematical/bilingual reasoning variants, stems, boundary statements and every distinct explanation shape were reviewed in a context independent of the producer; parameter substitutions, source bindings, full math models, both answer strings and every arithmetic step were independently reconstructed per question from the original parameters only, with negative controls. This grouped method does not claim a separate literal AI reading of every repeated sentence or an extra AI voter.",
    "review_receipts": {
      "semantic_review_sha256": "c89efa383b67bb2cf25bcf16160b9f5f614bbe5e5e791f4d7f58234d17a3371c",
      "question_first_witness_sha256": "12766d451c5375842b4fc2843ae94807ec55f15763a916558026912a13873d57"
    },
    "status": "second_context_reviewed",
    "mathematical_semantics": true,
    "bilingual_semantics": true,
    "steps_reviewed": 3,
    "method": "family_template_semantic_review_plus_independent_per_instance_reconstruction",
    "exact_question_first_check": {
      "model_sha256": "bca71e82a3b603522a7c8b63fcbc81f6ac763288e5b122c1663da40e54865d65",
      "arithmetic_steps": 0
    },
    "uses_answer_as_premise": false,
    "human_review": "NOT_PERFORMED",
    "formalization": "not_formalized",
    "Lean": "NOT_RUN",
    "Canonical_truth_promotion": false,
    "authority": "Owner-authorized reviewed reader publication; original question/candidate states remain historical and unchanged."
  }
}