{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-geometry-object-role-0001","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"584c12da02634baa8534f6bd6e2c0d93c43b2391a99f7327f609f7937e4af6f3","family_id":"qf-geometry-object-role","seed":20260918,"semantic_template":"qf-geometry-object-role/{\"role\":\"點\",\"symbol\":\"P1\"}"},"fields":{"title":"Geometric Object Role","stem":"In the explicit model, the symbol P1 is designated as a point. What is its geometric role?","answer":{"kind":"choice","value":"Point","choices":["Point","Line","Plane"],"explanation":"The prompt explicitly designates P1 as a point; the answer is not inferred from visual appearance."},"skills":["point-line-plane roles"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-geometry-object-role-0002","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"e86b8b09f4e12f3e82f37a8ff0a102d43601ca13f9d03ba95a3486752841a674","family_id":"qf-geometry-object-role","seed":20260919,"semantic_template":"qf-geometry-object-role/{\"role\":\"線\",\"symbol\":\"l2\"}"},"fields":{"title":"Geometric Object Role","stem":"In the explicit model, the symbol l2 is designated as a line. What is its geometric role?","answer":{"kind":"choice","value":"Line","choices":["Point","Line","Plane"],"explanation":"The prompt explicitly designates l2 as a line; the answer is not inferred from visual appearance."},"skills":["point-line-plane roles"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-geometry-object-role-0003","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"d527fad45eb6087f5c0eebf3e0698dcc95a298ea50a415e8598d5c3c2501ef90","family_id":"qf-geometry-object-role","seed":20260920,"semantic_template":"qf-geometry-object-role/{\"role\":\"面\",\"symbol\":\"α3\"}"},"fields":{"title":"Geometric Object Role","stem":"In the explicit model, the symbol α3 is designated as a plane. What is its geometric role?","answer":{"kind":"choice","value":"Plane","choices":["Point","Line","Plane"],"explanation":"The prompt explicitly designates α3 as a plane; the answer is not inferred from visual appearance."},"skills":["point-line-plane roles"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-geometry-object-role-0004","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"8aec8bef65f5529a4f08223542f70f628167d56b43e288b78cf8f4652c254d8d","family_id":"qf-geometry-object-role","seed":20260921,"semantic_template":"qf-geometry-object-role/{\"role\":\"點\",\"symbol\":\"P4\"}"},"fields":{"title":"Geometric Object Role","stem":"In the explicit model, the symbol P4 is designated as a point. What is its geometric role?","answer":{"kind":"choice","value":"Point","choices":["Point","Line","Plane"],"explanation":"The prompt explicitly designates P4 as a point; the answer is not inferred from visual appearance."},"skills":["point-line-plane roles"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-geometry-object-role-0005","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"b80c66d8642e99c9edf189dc38355c3693af79cdf568fa829142c957d3e145bf","family_id":"qf-geometry-object-role","seed":20260922,"semantic_template":"qf-geometry-object-role/{\"role\":\"線\",\"symbol\":\"l5\"}"},"fields":{"title":"Geometric Object Role","stem":"In the explicit model, the symbol l5 is designated as a line. What is its geometric role?","answer":{"kind":"choice","value":"Line","choices":["Point","Line","Plane"],"explanation":"The prompt explicitly designates l5 as a line; the answer is not inferred from visual appearance."},"skills":["point-line-plane roles"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-geometry-object-role-0006","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"dc44281b9ec421a4c610652890c86b0b5af12911f6b3cb34ac81d837074a027d","family_id":"qf-geometry-object-role","seed":20260923,"semantic_template":"qf-geometry-object-role/{\"role\":\"面\",\"symbol\":\"α6\"}"},"fields":{"title":"Geometric Object Role","stem":"In the explicit model, the symbol α6 is designated as a plane. What is its geometric role?","answer":{"kind":"choice","value":"Plane","choices":["Point","Line","Plane"],"explanation":"The prompt explicitly designates α6 as a plane; the answer is not inferred from visual appearance."},"skills":["point-line-plane roles"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-geometry-object-role-0007","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"e03d154bd2997a8c6ce1efd176ac572b949f019cb0226c0d8a91281c1bd4d642","family_id":"qf-geometry-object-role","seed":20260924,"semantic_template":"qf-geometry-object-role/{\"role\":\"點\",\"symbol\":\"P7\"}"},"fields":{"title":"Geometric Object Role","stem":"In the explicit model, the symbol P7 is designated as a point. What is its geometric role?","answer":{"kind":"choice","value":"Point","choices":["Point","Line","Plane"],"explanation":"The prompt explicitly designates P7 as a point; the answer is not inferred from visual appearance."},"skills":["point-line-plane roles"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-geometry-object-role-0008","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"a0c37671a88714754a8c3ab1c7d4d1b6b2ee27f3657063d2f5d9b75855d3b5c9","family_id":"qf-geometry-object-role","seed":20260925,"semantic_template":"qf-geometry-object-role/{\"role\":\"線\",\"symbol\":\"l8\"}"},"fields":{"title":"Geometric Object Role","stem":"In the explicit model, the symbol l8 is designated as a line. What is its geometric role?","answer":{"kind":"choice","value":"Line","choices":["Point","Line","Plane"],"explanation":"The prompt explicitly designates l8 as a line; the answer is not inferred from visual appearance."},"skills":["point-line-plane roles"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-geometry-object-role-0009","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"68410bf3c262291285c672601041ad35c3eb1b5562771597df6c9c8eb211b6bd","family_id":"qf-geometry-object-role","seed":20260926,"semantic_template":"qf-geometry-object-role/{\"role\":\"面\",\"symbol\":\"α9\"}"},"fields":{"title":"Geometric Object Role","stem":"In the explicit model, the symbol α9 is designated as a plane. What is its geometric role?","answer":{"kind":"choice","value":"Plane","choices":["Point","Line","Plane"],"explanation":"The prompt explicitly designates α9 as a plane; the answer is not inferred from visual appearance."},"skills":["point-line-plane roles"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-geometry-object-role-0010","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"002e6d7f2e9fc82e81ac23400f730279761ecac40498e3225c9a7ad39b1a1f58","family_id":"qf-geometry-object-role","seed":20260927,"semantic_template":"qf-geometry-object-role/{\"role\":\"點\",\"symbol\":\"P10\"}"},"fields":{"title":"Geometric Object Role","stem":"In the explicit model, the symbol P10 is designated as a point. What is its geometric role?","answer":{"kind":"choice","value":"Point","choices":["Point","Line","Plane"],"explanation":"The prompt explicitly designates P10 as a point; the answer is not inferred from visual appearance."},"skills":["point-line-plane roles"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-geometry-object-role-0011","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"a14f6b6029451fef16a117dadf888a8b5f397e2b9dfc9e9c9cafee0b4cff667c","family_id":"qf-geometry-object-role","seed":20260928,"semantic_template":"qf-geometry-object-role/{\"role\":\"線\",\"symbol\":\"l11\"}"},"fields":{"title":"Geometric Object Role","stem":"In the explicit model, the symbol l11 is designated as a line. What is its geometric role?","answer":{"kind":"choice","value":"Line","choices":["Point","Line","Plane"],"explanation":"The prompt explicitly designates l11 as a line; the answer is not inferred from visual appearance."},"skills":["point-line-plane roles"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-geometry-object-role-0012","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"5683098bab82ed6ac464d5cb5251c27c2bfaf8b4a16a1c32ffacb022285b0d7c","family_id":"qf-geometry-object-role","seed":20260929,"semantic_template":"qf-geometry-object-role/{\"role\":\"面\",\"symbol\":\"α12\"}"},"fields":{"title":"Geometric Object Role","stem":"In the explicit model, the symbol α12 is designated as a plane. What is its geometric role?","answer":{"kind":"choice","value":"Plane","choices":["Point","Line","Plane"],"explanation":"The prompt explicitly designates α12 as a plane; the answer is not inferred from visual appearance."},"skills":["point-line-plane roles"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-geometry-object-role-0013","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"32154a21f2cb642729a0e9a6c615d6c7e0b8ba1598b614b6765b908948c9f40d","family_id":"qf-geometry-object-role","seed":20260930,"semantic_template":"qf-geometry-object-role/{\"role\":\"點\",\"symbol\":\"P13\"}"},"fields":{"title":"Geometric Object Role","stem":"In the explicit model, the symbol P13 is designated as a point. What is its geometric role?","answer":{"kind":"choice","value":"Point","choices":["Point","Line","Plane"],"explanation":"The prompt explicitly designates P13 as a point; the answer is not inferred from visual appearance."},"skills":["point-line-plane roles"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-geometry-object-role-0014","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"ba623893daa479079cdf09d260e8b7e60f39bb6fd1f40a5d717501d2fa5b2756","family_id":"qf-geometry-object-role","seed":20260931,"semantic_template":"qf-geometry-object-role/{\"role\":\"線\",\"symbol\":\"l14\"}"},"fields":{"title":"Geometric Object Role","stem":"In the explicit model, the symbol l14 is designated as a line. What is its geometric role?","answer":{"kind":"choice","value":"Line","choices":["Point","Line","Plane"],"explanation":"The prompt explicitly designates l14 as a line; the answer is not inferred from visual appearance."},"skills":["point-line-plane roles"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-geometry-object-role-0015","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"64d0e3ea6fbd211de924dfdeb6acc5f6507eae34002ef02f9a3e75810e286050","family_id":"qf-geometry-object-role","seed":20260932,"semantic_template":"qf-geometry-object-role/{\"role\":\"面\",\"symbol\":\"α15\"}"},"fields":{"title":"Geometric Object Role","stem":"In the explicit model, the symbol α15 is designated as a plane. What is its geometric role?","answer":{"kind":"choice","value":"Plane","choices":["Point","Line","Plane"],"explanation":"The prompt explicitly designates α15 as a plane; the answer is not inferred from visual appearance."},"skills":["point-line-plane roles"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-geometry-object-role-0016","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"15b650375006265307bda801c6793a970048caee6fa68a812093f98ddd59ba0a","family_id":"qf-geometry-object-role","seed":20260933,"semantic_template":"qf-geometry-object-role/{\"role\":\"點\",\"symbol\":\"P16\"}"},"fields":{"title":"Geometric Object Role","stem":"In the explicit model, the symbol P16 is designated as a point. What is its geometric role?","answer":{"kind":"choice","value":"Point","choices":["Point","Line","Plane"],"explanation":"The prompt explicitly designates P16 as a point; the answer is not inferred from visual appearance."},"skills":["point-line-plane roles"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-geometry-object-role-0017","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"85a192ccb8a1b7de75ac8e8e15dcd2aef9a9c8f1ce12722ba5c6dff7bc354cd7","family_id":"qf-geometry-object-role","seed":20260934,"semantic_template":"qf-geometry-object-role/{\"role\":\"線\",\"symbol\":\"l17\"}"},"fields":{"title":"Geometric Object Role","stem":"In the explicit model, the symbol l17 is designated as a line. What is its geometric role?","answer":{"kind":"choice","value":"Line","choices":["Point","Line","Plane"],"explanation":"The prompt explicitly designates l17 as a line; the answer is not inferred from visual appearance."},"skills":["point-line-plane roles"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-geometry-object-role-0018","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"72054a208c124f901c957f405777d61ac48f9c20e3302389896a8e2734b829f3","family_id":"qf-geometry-object-role","seed":20260935,"semantic_template":"qf-geometry-object-role/{\"role\":\"面\",\"symbol\":\"α18\"}"},"fields":{"title":"Geometric Object Role","stem":"In the explicit model, the symbol α18 is designated as a plane. What is its geometric role?","answer":{"kind":"choice","value":"Plane","choices":["Point","Line","Plane"],"explanation":"The prompt explicitly designates α18 as a plane; the answer is not inferred from visual appearance."},"skills":["point-line-plane roles"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-geometry-object-role-0019","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"e175fb642a36df6395e719c21430195c1602ebf27a9f50d5d4a81f63e339fd55","family_id":"qf-geometry-object-role","seed":20260936,"semantic_template":"qf-geometry-object-role/{\"role\":\"點\",\"symbol\":\"P19\"}"},"fields":{"title":"Geometric Object Role","stem":"In the explicit model, the symbol P19 is designated as a point. What is its geometric role?","answer":{"kind":"choice","value":"Point","choices":["Point","Line","Plane"],"explanation":"The prompt explicitly designates P19 as a point; the answer is not inferred from visual appearance."},"skills":["point-line-plane roles"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-geometry-object-role-0020","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"441aa6b3f1e19864736f5b0befd4ca809f00a65e8aa164b0a9d9ab9525a62f2f","family_id":"qf-geometry-object-role","seed":20260937,"semantic_template":"qf-geometry-object-role/{\"role\":\"線\",\"symbol\":\"l20\"}"},"fields":{"title":"Geometric Object Role","stem":"In the explicit model, the symbol l20 is designated as a line. What is its geometric role?","answer":{"kind":"choice","value":"Line","choices":["Point","Line","Plane"],"explanation":"The prompt explicitly designates l20 as a line; the answer is not inferred from visual appearance."},"skills":["point-line-plane roles"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-geometry-object-role-0021","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"58799b35d3072f7992d4a8386df0642f579302437819cd6ca4c82cee82e15e43","family_id":"qf-geometry-object-role","seed":20260938,"semantic_template":"qf-geometry-object-role/{\"role\":\"面\",\"symbol\":\"α21\"}"},"fields":{"title":"Geometric Object Role","stem":"In the explicit model, the symbol α21 is designated as a plane. What is its geometric role?","answer":{"kind":"choice","value":"Plane","choices":["Point","Line","Plane"],"explanation":"The prompt explicitly designates α21 as a plane; the answer is not inferred from visual appearance."},"skills":["point-line-plane roles"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-geometry-object-role-0022","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"d0b9862d21f049ac01c0aa0052ef4b39c897f045ffb5bf033be7b4ad78651c1d","family_id":"qf-geometry-object-role","seed":20260939,"semantic_template":"qf-geometry-object-role/{\"role\":\"點\",\"symbol\":\"P22\"}"},"fields":{"title":"Geometric Object Role","stem":"In the explicit model, the symbol P22 is designated as a point. What is its geometric role?","answer":{"kind":"choice","value":"Point","choices":["Point","Line","Plane"],"explanation":"The prompt explicitly designates P22 as a point; the answer is not inferred from visual appearance."},"skills":["point-line-plane roles"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-geometry-object-role-0023","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"b9eba965811946de9b253da031a500b833bf1f08ed1a2849f9e2f9e014b6cbfb","family_id":"qf-geometry-object-role","seed":20260940,"semantic_template":"qf-geometry-object-role/{\"role\":\"線\",\"symbol\":\"l23\"}"},"fields":{"title":"Geometric Object Role","stem":"In the explicit model, the symbol l23 is designated as a line. What is its geometric role?","answer":{"kind":"choice","value":"Line","choices":["Point","Line","Plane"],"explanation":"The prompt explicitly designates l23 as a line; the answer is not inferred from visual appearance."},"skills":["point-line-plane roles"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-geometry-object-role-0024","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"8bcc554f9f36e94c06609fda5ebf116fd483ac760546d804ab4bce1cf47dbaf0","family_id":"qf-geometry-object-role","seed":20260941,"semantic_template":"qf-geometry-object-role/{\"role\":\"面\",\"symbol\":\"α24\"}"},"fields":{"title":"Geometric Object Role","stem":"In the explicit model, the symbol α24 is designated as a plane. What is its geometric role?","answer":{"kind":"choice","value":"Plane","choices":["Point","Line","Plane"],"explanation":"The prompt explicitly designates α24 as a plane; the answer is not inferred from visual appearance."},"skills":["point-line-plane roles"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-geometry-object-role-0025","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"1f4a401fb803beafc0551de914881357371d96ba375155088d8150898e1360e6","family_id":"qf-geometry-object-role","seed":20260942,"semantic_template":"qf-geometry-object-role/{\"role\":\"點\",\"symbol\":\"P25\"}"},"fields":{"title":"Geometric Object Role","stem":"In the explicit model, the symbol P25 is designated as a point. What is its geometric role?","answer":{"kind":"choice","value":"Point","choices":["Point","Line","Plane"],"explanation":"The prompt explicitly designates P25 as a point; the answer is not inferred from visual appearance."},"skills":["point-line-plane roles"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-incidence-language-0001","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"a3e58ad747376c129451d34bc17f8b6e09bb8d7e6fa3706b1bf6c8f58f431683","family_id":"qf-explicit-incidence-language","seed":20261018,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l1\",\"on\":true,\"point\":\"P1\"}"},"fields":{"title":"Explicit Incidence","stem":"Explicit incidence data: P1 lies on l1. Is P1 incident with l1?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"According to the explicit incidence data, P1 lies on l1."},"skills":["explicit incidence"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-incidence-language-0002","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"b3f023b944108d1bf4d0fd6ed99e3acc04f2d3dcfd4f42f49f78bdb2d578a892","family_id":"qf-explicit-incidence-language","seed":20261019,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l2\",\"on\":false,\"point\":\"P2\"}"},"fields":{"title":"Explicit Incidence","stem":"Explicit incidence data: P2 does not lie on l2. Is P2 incident with l2?","answer":{"kind":"choice","value":"No","choices":["Yes","No"],"explanation":"According to the explicit incidence data, P2 does not lie on l2."},"skills":["explicit incidence"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-incidence-language-0003","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"48eac1eb86d14ab277707c6c4a3d9fc0bd3bb96ee3fab2240aeaa217602d3e18","family_id":"qf-explicit-incidence-language","seed":20261020,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l3\",\"on\":true,\"point\":\"P3\"}"},"fields":{"title":"Explicit Incidence","stem":"Explicit incidence data: P3 lies on l3. Is P3 incident with l3?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"According to the explicit incidence data, P3 lies on l3."},"skills":["explicit incidence"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-incidence-language-0004","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"f8a4c398badd2821fbbea456b89e1eb240a83838aba5fdb24b01c11e40e74a21","family_id":"qf-explicit-incidence-language","seed":20261021,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l4\",\"on\":false,\"point\":\"P4\"}"},"fields":{"title":"Explicit Incidence","stem":"Explicit incidence data: P4 does not lie on l4. Is P4 incident with l4?","answer":{"kind":"choice","value":"No","choices":["Yes","No"],"explanation":"According to the explicit incidence data, P4 does not lie on l4."},"skills":["explicit incidence"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-incidence-language-0005","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"92aeb6a3e186f0ce4cb38d98a2ee9163b3e9c0a8bb2aa93c0111bee83a67b5cb","family_id":"qf-explicit-incidence-language","seed":20261022,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l5\",\"on\":true,\"point\":\"P5\"}"},"fields":{"title":"Explicit Incidence","stem":"Explicit incidence data: P5 lies on l5. Is P5 incident with l5?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"According to the explicit incidence data, P5 lies on l5."},"skills":["explicit incidence"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-incidence-language-0006","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"125142590c2ce96d819b9fcf9f78cf7610da3f17d947c3aa72edaa9c96030f63","family_id":"qf-explicit-incidence-language","seed":20261023,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l6\",\"on\":false,\"point\":\"P6\"}"},"fields":{"title":"Explicit Incidence","stem":"Explicit incidence data: P6 does not lie on l6. Is P6 incident with l6?","answer":{"kind":"choice","value":"No","choices":["Yes","No"],"explanation":"According to the explicit incidence data, P6 does not lie on l6."},"skills":["explicit incidence"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-incidence-language-0007","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"b75fb21554c9c12693c75265be0e79a5ac27a790ac32999db016e02e7a21c093","family_id":"qf-explicit-incidence-language","seed":20261024,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l7\",\"on\":true,\"point\":\"P7\"}"},"fields":{"title":"Explicit Incidence","stem":"Explicit incidence data: P7 lies on l7. Is P7 incident with l7?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"According to the explicit incidence data, P7 lies on l7."},"skills":["explicit incidence"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-incidence-language-0008","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"e7fbdee778b0b540c6a1a531948212f5eff77d45395600232264967e87e32345","family_id":"qf-explicit-incidence-language","seed":20261025,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l8\",\"on\":false,\"point\":\"P8\"}"},"fields":{"title":"Explicit Incidence","stem":"Explicit incidence data: P8 does not lie on l8. Is P8 incident with l8?","answer":{"kind":"choice","value":"No","choices":["Yes","No"],"explanation":"According to the explicit incidence data, P8 does not lie on l8."},"skills":["explicit incidence"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-incidence-language-0009","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"528830132afa48e8f4b91b7490d64eed8c9afa0104d4f4830bed61c171f7d22a","family_id":"qf-explicit-incidence-language","seed":20261026,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l9\",\"on\":true,\"point\":\"P9\"}"},"fields":{"title":"Explicit Incidence","stem":"Explicit incidence data: P9 lies on l9. Is P9 incident with l9?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"According to the explicit incidence data, P9 lies on l9."},"skills":["explicit incidence"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-incidence-language-0010","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"5d5ace8a4c56c402252bcfda17278b2845deba84ef0f13f20cecd597fa9774c2","family_id":"qf-explicit-incidence-language","seed":20261027,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l10\",\"on\":false,\"point\":\"P10\"}"},"fields":{"title":"Explicit Incidence","stem":"Explicit incidence data: P10 does not lie on l10. Is P10 incident with l10?","answer":{"kind":"choice","value":"No","choices":["Yes","No"],"explanation":"According to the explicit incidence data, P10 does not lie on l10."},"skills":["explicit incidence"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-incidence-language-0011","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"6e9e44f9616bc9ed81e4bde527d7a508998d595f98b83e4e2397d6aff810f767","family_id":"qf-explicit-incidence-language","seed":20261028,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l11\",\"on\":true,\"point\":\"P11\"}"},"fields":{"title":"Explicit Incidence","stem":"Explicit incidence data: P11 lies on l11. Is P11 incident with l11?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"According to the explicit incidence data, P11 lies on l11."},"skills":["explicit incidence"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-incidence-language-0012","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"2758bd2193fb1666a000bd16da50c6486cecfe9814d508cb8d5a33b32713fb09","family_id":"qf-explicit-incidence-language","seed":20261029,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l12\",\"on\":false,\"point\":\"P12\"}"},"fields":{"title":"Explicit Incidence","stem":"Explicit incidence data: P12 does not lie on l12. Is P12 incident with l12?","answer":{"kind":"choice","value":"No","choices":["Yes","No"],"explanation":"According to the explicit incidence data, P12 does not lie on l12."},"skills":["explicit incidence"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-incidence-language-0013","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"accfbad9e1beccf743b43349af761fb528851b36145b72bc8899978f75491e65","family_id":"qf-explicit-incidence-language","seed":20261030,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l13\",\"on\":true,\"point\":\"P13\"}"},"fields":{"title":"Explicit Incidence","stem":"Explicit incidence data: P13 lies on l13. Is P13 incident with l13?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"According to the explicit incidence data, P13 lies on l13."},"skills":["explicit incidence"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-incidence-language-0014","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"3162fde65b30a235bda12557e1caeb4d74730a2019bb5c5a3fd3300a23f1eeed","family_id":"qf-explicit-incidence-language","seed":20261031,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l14\",\"on\":false,\"point\":\"P14\"}"},"fields":{"title":"Explicit Incidence","stem":"Explicit incidence data: P14 does not lie on l14. Is P14 incident with l14?","answer":{"kind":"choice","value":"No","choices":["Yes","No"],"explanation":"According to the explicit incidence data, P14 does not lie on l14."},"skills":["explicit incidence"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-incidence-language-0015","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"b7e7e77ebca4ce733b494aed5c6371ffdc2b913e31b09e724832c956d925038a","family_id":"qf-explicit-incidence-language","seed":20261032,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l15\",\"on\":true,\"point\":\"P15\"}"},"fields":{"title":"Explicit Incidence","stem":"Explicit incidence data: P15 lies on l15. Is P15 incident with l15?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"According to the explicit incidence data, P15 lies on l15."},"skills":["explicit incidence"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-incidence-language-0016","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"bfe2c27ba571d19958a6a690068f9268c833f7f2d234cb70872096eb9df8c382","family_id":"qf-explicit-incidence-language","seed":20261033,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l16\",\"on\":false,\"point\":\"P16\"}"},"fields":{"title":"Explicit Incidence","stem":"Explicit incidence data: P16 does not lie on l16. Is P16 incident with l16?","answer":{"kind":"choice","value":"No","choices":["Yes","No"],"explanation":"According to the explicit incidence data, P16 does not lie on l16."},"skills":["explicit incidence"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-incidence-language-0017","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"016a13c8c0b553ab92623cc3beca579d5a04988c753192f85b5de1a8db8af639","family_id":"qf-explicit-incidence-language","seed":20261034,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l17\",\"on\":true,\"point\":\"P17\"}"},"fields":{"title":"Explicit Incidence","stem":"Explicit incidence data: P17 lies on l17. Is P17 incident with l17?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"According to the explicit incidence data, P17 lies on l17."},"skills":["explicit incidence"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-incidence-language-0018","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"a69407e99c4f308af534a0120c75b599508fbf6d0c3e181d69991014da5bfd30","family_id":"qf-explicit-incidence-language","seed":20261035,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l18\",\"on\":false,\"point\":\"P18\"}"},"fields":{"title":"Explicit Incidence","stem":"Explicit incidence data: P18 does not lie on l18. Is P18 incident with l18?","answer":{"kind":"choice","value":"No","choices":["Yes","No"],"explanation":"According to the explicit incidence data, P18 does not lie on l18."},"skills":["explicit incidence"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-incidence-language-0019","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"e2a8f6dbbd088d6ac351d71b8d6f6ce91014f4762be8cb33919674d553d455a0","family_id":"qf-explicit-incidence-language","seed":20261036,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l19\",\"on\":true,\"point\":\"P19\"}"},"fields":{"title":"Explicit Incidence","stem":"Explicit incidence data: P19 lies on l19. Is P19 incident with l19?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"According to the explicit incidence data, P19 lies on l19."},"skills":["explicit incidence"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-incidence-language-0020","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"636edbb4aa76c748fdec9d5deaa40010fbb44f82b8b243e8d3e23ee2864f3094","family_id":"qf-explicit-incidence-language","seed":20261037,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l20\",\"on\":false,\"point\":\"P20\"}"},"fields":{"title":"Explicit Incidence","stem":"Explicit incidence data: P20 does not lie on l20. Is P20 incident with l20?","answer":{"kind":"choice","value":"No","choices":["Yes","No"],"explanation":"According to the explicit incidence data, P20 does not lie on l20."},"skills":["explicit incidence"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-incidence-language-0021","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"a1b3a694502d94e858e98716b6fa6945003cf23b7442f50ec2e23845ed92647b","family_id":"qf-explicit-incidence-language","seed":20261038,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l21\",\"on\":true,\"point\":\"P21\"}"},"fields":{"title":"Explicit Incidence","stem":"Explicit incidence data: P21 lies on l21. Is P21 incident with l21?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"According to the explicit incidence data, P21 lies on l21."},"skills":["explicit incidence"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-incidence-language-0022","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"127c101d3cdb7787240def414c93804314ceddbbeaf57debc1809427fbe96089","family_id":"qf-explicit-incidence-language","seed":20261039,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l22\",\"on\":false,\"point\":\"P22\"}"},"fields":{"title":"Explicit Incidence","stem":"Explicit incidence data: P22 does not lie on l22. Is P22 incident with l22?","answer":{"kind":"choice","value":"No","choices":["Yes","No"],"explanation":"According to the explicit incidence data, P22 does not lie on l22."},"skills":["explicit incidence"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-incidence-language-0023","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"c296baa3928fc99e014a46d5c1bfc913b3041a7ba5b7d4206e8daf4af5a7f151","family_id":"qf-explicit-incidence-language","seed":20261040,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l23\",\"on\":true,\"point\":\"P23\"}"},"fields":{"title":"Explicit Incidence","stem":"Explicit incidence data: P23 lies on l23. Is P23 incident with l23?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"According to the explicit incidence data, P23 lies on l23."},"skills":["explicit incidence"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-incidence-language-0024","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"9a97ba773a437a42e044ab76dfd5057980fb6f701d7381ef0931fdf4642a593e","family_id":"qf-explicit-incidence-language","seed":20261041,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l24\",\"on\":false,\"point\":\"P24\"}"},"fields":{"title":"Explicit Incidence","stem":"Explicit incidence data: P24 does not lie on l24. Is P24 incident with l24?","answer":{"kind":"choice","value":"No","choices":["Yes","No"],"explanation":"According to the explicit incidence data, P24 does not lie on l24."},"skills":["explicit incidence"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-incidence-language-0025","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"4a520de6d0ee171b6af559d9b9111883a057fcaf6bb1e9723fcef7e13d206a74","family_id":"qf-explicit-incidence-language","seed":20261042,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l25\",\"on\":true,\"point\":\"P25\"}"},"fields":{"title":"Explicit Incidence","stem":"Explicit incidence data: P25 lies on l25. Is P25 incident with l25?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"According to the explicit incidence data, P25 lies on l25."},"skills":["explicit incidence"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-collinearity-classification-0001","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"7a4b88cb8da64809fe2b6a4067ec802c7a6ea39cbf6a149755d27a39000982fe","family_id":"qf-explicit-collinearity-classification","seed":20261118,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":true,\"explicit_negative\":false,\"points\":[\"P1\",\"Q1\",\"R1\"]}"},"fields":{"title":"Explicit Collinearity","stem":"Explicit data: P1, Q1, R1 are collinear. Are the three points collinear?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are collinear; no conclusion is inferred from a drawing."},"skills":["collinearity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-collinearity-classification-0002","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"28cbe0781aa604d6cc7b2e976c01f55f324be9bbf10b196ad30c894e0f40f856","family_id":"qf-explicit-collinearity-classification","seed":20261119,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":false,\"explicit_negative\":true,\"points\":[\"P2\",\"Q2\",\"R2\"]}"},"fields":{"title":"Explicit Collinearity","stem":"Explicit data: P2, Q2, R2 are not collinear. Are the three points collinear?","answer":{"kind":"choice","value":"No","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are not collinear; no conclusion is inferred from a drawing."},"skills":["collinearity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-collinearity-classification-0003","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"3ec6968ff5d04c5943639197a2abf834870cf19df9efb022b6d39e4515dfd97f","family_id":"qf-explicit-collinearity-classification","seed":20261120,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":true,\"explicit_negative\":false,\"points\":[\"P3\",\"Q3\",\"R3\"]}"},"fields":{"title":"Explicit Collinearity","stem":"Explicit data: P3, Q3, R3 are collinear. Are the three points collinear?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are collinear; no conclusion is inferred from a drawing."},"skills":["collinearity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-collinearity-classification-0004","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"16048a5678ae153a0800b2b1491497f848b8ac6afd1407a8d3dda177794382fe","family_id":"qf-explicit-collinearity-classification","seed":20261121,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":false,\"explicit_negative\":true,\"points\":[\"P4\",\"Q4\",\"R4\"]}"},"fields":{"title":"Explicit Collinearity","stem":"Explicit data: P4, Q4, R4 are not collinear. Are the three points collinear?","answer":{"kind":"choice","value":"No","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are not collinear; no conclusion is inferred from a drawing."},"skills":["collinearity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-collinearity-classification-0005","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"ddab62a0a241327e3eb374a14228c2047e928cd4d08597d1a7f58717c099e934","family_id":"qf-explicit-collinearity-classification","seed":20261122,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":true,\"explicit_negative\":false,\"points\":[\"P5\",\"Q5\",\"R5\"]}"},"fields":{"title":"Explicit Collinearity","stem":"Explicit data: P5, Q5, R5 are collinear. Are the three points collinear?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are collinear; no conclusion is inferred from a drawing."},"skills":["collinearity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-collinearity-classification-0006","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"214545a7ec8b173409711c7a9cbf2b1efa19e00787ab70908f52bc99a633e13d","family_id":"qf-explicit-collinearity-classification","seed":20261123,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":false,\"explicit_negative\":true,\"points\":[\"P6\",\"Q6\",\"R6\"]}"},"fields":{"title":"Explicit Collinearity","stem":"Explicit data: P6, Q6, R6 are not collinear. Are the three points collinear?","answer":{"kind":"choice","value":"No","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are not collinear; no conclusion is inferred from a drawing."},"skills":["collinearity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-collinearity-classification-0007","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"73f74904b08f3a4619732008e636ed19ae130cf77b56dba24264fe71ed3d1032","family_id":"qf-explicit-collinearity-classification","seed":20261124,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":true,\"explicit_negative\":false,\"points\":[\"P7\",\"Q7\",\"R7\"]}"},"fields":{"title":"Explicit Collinearity","stem":"Explicit data: P7, Q7, R7 are collinear. Are the three points collinear?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are collinear; no conclusion is inferred from a drawing."},"skills":["collinearity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-collinearity-classification-0008","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"649eaa648f8dafed7c6e9492ce1244662cd1e8d1598d21e29fdd6d6a0e13bdae","family_id":"qf-explicit-collinearity-classification","seed":20261125,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":false,\"explicit_negative\":true,\"points\":[\"P8\",\"Q8\",\"R8\"]}"},"fields":{"title":"Explicit Collinearity","stem":"Explicit data: P8, Q8, R8 are not collinear. Are the three points collinear?","answer":{"kind":"choice","value":"No","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are not collinear; no conclusion is inferred from a drawing."},"skills":["collinearity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-collinearity-classification-0009","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"60a173b4f230277a38cb9958e6649278dd5bfe0522ad21a93fd7e75df29275fc","family_id":"qf-explicit-collinearity-classification","seed":20261126,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":true,\"explicit_negative\":false,\"points\":[\"P9\",\"Q9\",\"R9\"]}"},"fields":{"title":"Explicit Collinearity","stem":"Explicit data: P9, Q9, R9 are collinear. Are the three points collinear?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are collinear; no conclusion is inferred from a drawing."},"skills":["collinearity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-collinearity-classification-0010","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"4562fdf606cb9c5bada0d2d7dcc6448ebd7656f6887600ff846dc60b080615ef","family_id":"qf-explicit-collinearity-classification","seed":20261127,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":false,\"explicit_negative\":true,\"points\":[\"P10\",\"Q10\",\"R10\"]}"},"fields":{"title":"Explicit Collinearity","stem":"Explicit data: P10, Q10, R10 are not collinear. Are the three points collinear?","answer":{"kind":"choice","value":"No","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are not collinear; no conclusion is inferred from a drawing."},"skills":["collinearity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-collinearity-classification-0011","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"814d5784db9ffe14e0a2f553579cdbe78f0298d27d23a0017752ff269c47f2e9","family_id":"qf-explicit-collinearity-classification","seed":20261128,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":true,\"explicit_negative\":false,\"points\":[\"P11\",\"Q11\",\"R11\"]}"},"fields":{"title":"Explicit Collinearity","stem":"Explicit data: P11, Q11, R11 are collinear. Are the three points collinear?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are collinear; no conclusion is inferred from a drawing."},"skills":["collinearity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-collinearity-classification-0012","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"4aa1f38e118dc622ec960a6838ae992995f2973cd26a6131538b1b5f1089eb34","family_id":"qf-explicit-collinearity-classification","seed":20261129,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":false,\"explicit_negative\":true,\"points\":[\"P12\",\"Q12\",\"R12\"]}"},"fields":{"title":"Explicit Collinearity","stem":"Explicit data: P12, Q12, R12 are not collinear. Are the three points collinear?","answer":{"kind":"choice","value":"No","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are not collinear; no conclusion is inferred from a drawing."},"skills":["collinearity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-collinearity-classification-0013","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"f5959f3f90178a5ca06a80636674134747d6322e3e1dbbb1a41486144551682f","family_id":"qf-explicit-collinearity-classification","seed":20261130,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":true,\"explicit_negative\":false,\"points\":[\"P13\",\"Q13\",\"R13\"]}"},"fields":{"title":"Explicit Collinearity","stem":"Explicit data: P13, Q13, R13 are collinear. Are the three points collinear?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are collinear; no conclusion is inferred from a drawing."},"skills":["collinearity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-collinearity-classification-0014","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"325b7c6e51e160eea3466d728c3c99f9130ba266f0bc2ec2f05e0022ab394aa2","family_id":"qf-explicit-collinearity-classification","seed":20261131,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":false,\"explicit_negative\":true,\"points\":[\"P14\",\"Q14\",\"R14\"]}"},"fields":{"title":"Explicit Collinearity","stem":"Explicit data: P14, Q14, R14 are not collinear. Are the three points collinear?","answer":{"kind":"choice","value":"No","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are not collinear; no conclusion is inferred from a drawing."},"skills":["collinearity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-collinearity-classification-0015","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"8842d7ed4e889629efc60cc658464d725cdd5fe4323cc3ce8edf9e346bdfa257","family_id":"qf-explicit-collinearity-classification","seed":20261132,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":true,\"explicit_negative\":false,\"points\":[\"P15\",\"Q15\",\"R15\"]}"},"fields":{"title":"Explicit Collinearity","stem":"Explicit data: P15, Q15, R15 are collinear. Are the three points collinear?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are collinear; no conclusion is inferred from a drawing."},"skills":["collinearity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-collinearity-classification-0016","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"84d2822517cbdc478412029742c7a7fbafaf4abdd98e59fcfbdec9bac5ff943f","family_id":"qf-explicit-collinearity-classification","seed":20261133,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":false,\"explicit_negative\":true,\"points\":[\"P16\",\"Q16\",\"R16\"]}"},"fields":{"title":"Explicit Collinearity","stem":"Explicit data: P16, Q16, R16 are not collinear. Are the three points collinear?","answer":{"kind":"choice","value":"No","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are not collinear; no conclusion is inferred from a drawing."},"skills":["collinearity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-collinearity-classification-0017","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"c335a93846336fffdd6188c2835e5d36df7663fde7f92d836d797627540fc367","family_id":"qf-explicit-collinearity-classification","seed":20261134,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":true,\"explicit_negative\":false,\"points\":[\"P17\",\"Q17\",\"R17\"]}"},"fields":{"title":"Explicit Collinearity","stem":"Explicit data: P17, Q17, R17 are collinear. Are the three points collinear?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are collinear; no conclusion is inferred from a drawing."},"skills":["collinearity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-collinearity-classification-0018","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"7f64554ade459075b5ed472ea9aa814755cdbc66c1ce34e15bcdd5c7d0945af3","family_id":"qf-explicit-collinearity-classification","seed":20261135,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":false,\"explicit_negative\":true,\"points\":[\"P18\",\"Q18\",\"R18\"]}"},"fields":{"title":"Explicit Collinearity","stem":"Explicit data: P18, Q18, R18 are not collinear. Are the three points collinear?","answer":{"kind":"choice","value":"No","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are not collinear; no conclusion is inferred from a drawing."},"skills":["collinearity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-collinearity-classification-0019","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"f091fc3dcf275474d1bee84af2f68e192332c82d5fa2417735c3a84a61300fba","family_id":"qf-explicit-collinearity-classification","seed":20261136,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":true,\"explicit_negative\":false,\"points\":[\"P19\",\"Q19\",\"R19\"]}"},"fields":{"title":"Explicit Collinearity","stem":"Explicit data: P19, Q19, R19 are collinear. Are the three points collinear?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are collinear; no conclusion is inferred from a drawing."},"skills":["collinearity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-collinearity-classification-0020","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"482e205cef29b7a52766bd8499ef9205c72460041c0e10070d1734f880de3f72","family_id":"qf-explicit-collinearity-classification","seed":20261137,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":false,\"explicit_negative\":true,\"points\":[\"P20\",\"Q20\",\"R20\"]}"},"fields":{"title":"Explicit Collinearity","stem":"Explicit data: P20, Q20, R20 are not collinear. Are the three points collinear?","answer":{"kind":"choice","value":"No","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are not collinear; no conclusion is inferred from a drawing."},"skills":["collinearity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-collinearity-classification-0021","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"0be2615e9c76476c47cf3b86c756c1fd14b1b10b8720a6313b74e5ad9bd72937","family_id":"qf-explicit-collinearity-classification","seed":20261138,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":true,\"explicit_negative\":false,\"points\":[\"P21\",\"Q21\",\"R21\"]}"},"fields":{"title":"Explicit Collinearity","stem":"Explicit data: P21, Q21, R21 are collinear. Are the three points collinear?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are collinear; no conclusion is inferred from a drawing."},"skills":["collinearity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-collinearity-classification-0022","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"adc465b6a46e34b687078d51d9e090f5bc21fdb131d8f27a22b7ad3ff09fa388","family_id":"qf-explicit-collinearity-classification","seed":20261139,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":false,\"explicit_negative\":true,\"points\":[\"P22\",\"Q22\",\"R22\"]}"},"fields":{"title":"Explicit Collinearity","stem":"Explicit data: P22, Q22, R22 are not collinear. Are the three points collinear?","answer":{"kind":"choice","value":"No","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are not collinear; no conclusion is inferred from a drawing."},"skills":["collinearity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-collinearity-classification-0023","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"5b8732843c436b3b901955370ff620085b6408b73bb408ae8c2421ae64892c9a","family_id":"qf-explicit-collinearity-classification","seed":20261140,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":true,\"explicit_negative\":false,\"points\":[\"P23\",\"Q23\",\"R23\"]}"},"fields":{"title":"Explicit Collinearity","stem":"Explicit data: P23, Q23, R23 are collinear. Are the three points collinear?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are collinear; no conclusion is inferred from a drawing."},"skills":["collinearity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-collinearity-classification-0024","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"4cc86c4f14f2121cdc07c98e234a08c852d8d6e3c45e6614555ca13aca5ee9e8","family_id":"qf-explicit-collinearity-classification","seed":20261141,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":false,\"explicit_negative\":true,\"points\":[\"P24\",\"Q24\",\"R24\"]}"},"fields":{"title":"Explicit Collinearity","stem":"Explicit data: P24, Q24, R24 are not collinear. Are the three points collinear?","answer":{"kind":"choice","value":"No","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are not collinear; no conclusion is inferred from a drawing."},"skills":["collinearity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-collinearity-classification-0025","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"e213c6b05412d6268ceac4125311724bbf81639365ead319e66dba3da25da2a1","family_id":"qf-explicit-collinearity-classification","seed":20261142,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":true,\"explicit_negative\":false,\"points\":[\"P25\",\"Q25\",\"R25\"]}"},"fields":{"title":"Explicit Collinearity","stem":"Explicit data: P25, Q25, R25 are collinear. Are the three points collinear?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are collinear; no conclusion is inferred from a drawing."},"skills":["collinearity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-coplanarity-classification-0001","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"2aac6b08ada1f8db8dcfdc9e2547a7c0899ddd0979c728d16358e9284955d9fb","family_id":"qf-explicit-coplanarity-classification","seed":20261218,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":true,\"explicit_negative\":false,\"points\":[\"P1\",\"Q1\",\"R1\",\"S1\"]}"},"fields":{"title":"Explicit Coplanarity","stem":"Explicit data: P1, Q1, R1, S1 are coplanar. Are the four points coplanar?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are coplanar; no conclusion is inferred from a drawing."},"skills":["coplanarity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-coplanarity-classification-0002","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"0ecde2aaa8f2b2ff4e2aef8dac561c3eb6c4891841395a5040763ad97344406c","family_id":"qf-explicit-coplanarity-classification","seed":20261219,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":false,\"explicit_negative\":true,\"points\":[\"P2\",\"Q2\",\"R2\",\"S2\"]}"},"fields":{"title":"Explicit Coplanarity","stem":"Explicit data: P2, Q2, R2, S2 are not coplanar. Are the four points coplanar?","answer":{"kind":"choice","value":"No","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are not coplanar; no conclusion is inferred from a drawing."},"skills":["coplanarity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-coplanarity-classification-0003","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"64fdee3ff0f3d1c30690fb7c21647aba873f5dfd1d1a3911d1bd019ce5aef91f","family_id":"qf-explicit-coplanarity-classification","seed":20261220,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":true,\"explicit_negative\":false,\"points\":[\"P3\",\"Q3\",\"R3\",\"S3\"]}"},"fields":{"title":"Explicit Coplanarity","stem":"Explicit data: P3, Q3, R3, S3 are coplanar. Are the four points coplanar?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are coplanar; no conclusion is inferred from a drawing."},"skills":["coplanarity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-coplanarity-classification-0004","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"cca4d5ec3cedc4cf53cefebfa06ab7cba8be6077d9460ae78e5c9ec7ef5cf168","family_id":"qf-explicit-coplanarity-classification","seed":20261221,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":false,\"explicit_negative\":true,\"points\":[\"P4\",\"Q4\",\"R4\",\"S4\"]}"},"fields":{"title":"Explicit Coplanarity","stem":"Explicit data: P4, Q4, R4, S4 are not coplanar. Are the four points coplanar?","answer":{"kind":"choice","value":"No","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are not coplanar; no conclusion is inferred from a drawing."},"skills":["coplanarity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-coplanarity-classification-0005","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"9f96cf7332b069eca65cdc22dd1cb0b02f8cfb87be9f1c0eb247a73d156766a9","family_id":"qf-explicit-coplanarity-classification","seed":20261222,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":true,\"explicit_negative\":false,\"points\":[\"P5\",\"Q5\",\"R5\",\"S5\"]}"},"fields":{"title":"Explicit Coplanarity","stem":"Explicit data: P5, Q5, R5, S5 are coplanar. Are the four points coplanar?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are coplanar; no conclusion is inferred from a drawing."},"skills":["coplanarity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-coplanarity-classification-0006","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"007801d9812475cfd45a7b0c4c079926b5fc888c6fac1816caf80e7a6cac781d","family_id":"qf-explicit-coplanarity-classification","seed":20261223,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":false,\"explicit_negative\":true,\"points\":[\"P6\",\"Q6\",\"R6\",\"S6\"]}"},"fields":{"title":"Explicit Coplanarity","stem":"Explicit data: P6, Q6, R6, S6 are not coplanar. Are the four points coplanar?","answer":{"kind":"choice","value":"No","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are not coplanar; no conclusion is inferred from a drawing."},"skills":["coplanarity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-coplanarity-classification-0007","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"01f6e01bd910abeb1bba682cc11f30b9467f7d27f145e39fb0566a500b79bd07","family_id":"qf-explicit-coplanarity-classification","seed":20261224,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":true,\"explicit_negative\":false,\"points\":[\"P7\",\"Q7\",\"R7\",\"S7\"]}"},"fields":{"title":"Explicit Coplanarity","stem":"Explicit data: P7, Q7, R7, S7 are coplanar. Are the four points coplanar?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are coplanar; no conclusion is inferred from a drawing."},"skills":["coplanarity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-coplanarity-classification-0008","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"c02d577f69905b76ada51128556d4675ec4bb053e58e4451688a73a71a16b63d","family_id":"qf-explicit-coplanarity-classification","seed":20261225,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":false,\"explicit_negative\":true,\"points\":[\"P8\",\"Q8\",\"R8\",\"S8\"]}"},"fields":{"title":"Explicit Coplanarity","stem":"Explicit data: P8, Q8, R8, S8 are not coplanar. Are the four points coplanar?","answer":{"kind":"choice","value":"No","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are not coplanar; no conclusion is inferred from a drawing."},"skills":["coplanarity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-coplanarity-classification-0009","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"d08934cf0cf4193b0e90b0aa8ca483d9ca957d6c2dc7b0399cf9c75e8e4446f2","family_id":"qf-explicit-coplanarity-classification","seed":20261226,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":true,\"explicit_negative\":false,\"points\":[\"P9\",\"Q9\",\"R9\",\"S9\"]}"},"fields":{"title":"Explicit Coplanarity","stem":"Explicit data: P9, Q9, R9, S9 are coplanar. Are the four points coplanar?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are coplanar; no conclusion is inferred from a drawing."},"skills":["coplanarity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-coplanarity-classification-0010","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"5ad9ef4fb2b4a635c740807656e3b95d79611343d49dfd0efa9ad8fbb745ba83","family_id":"qf-explicit-coplanarity-classification","seed":20261227,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":false,\"explicit_negative\":true,\"points\":[\"P10\",\"Q10\",\"R10\",\"S10\"]}"},"fields":{"title":"Explicit Coplanarity","stem":"Explicit data: P10, Q10, R10, S10 are not coplanar. Are the four points coplanar?","answer":{"kind":"choice","value":"No","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are not coplanar; no conclusion is inferred from a drawing."},"skills":["coplanarity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-coplanarity-classification-0011","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"c5bb98017c54421547d548c9f6a2219bddacdfcd96b7d791ae828f2e1b79a8dc","family_id":"qf-explicit-coplanarity-classification","seed":20261228,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":true,\"explicit_negative\":false,\"points\":[\"P11\",\"Q11\",\"R11\",\"S11\"]}"},"fields":{"title":"Explicit Coplanarity","stem":"Explicit data: P11, Q11, R11, S11 are coplanar. Are the four points coplanar?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are coplanar; no conclusion is inferred from a drawing."},"skills":["coplanarity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-coplanarity-classification-0012","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"d3f40063451d0a27084dbcafde10a58b04ca8d13be15e7297d1c0a0c8df43926","family_id":"qf-explicit-coplanarity-classification","seed":20261229,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":false,\"explicit_negative\":true,\"points\":[\"P12\",\"Q12\",\"R12\",\"S12\"]}"},"fields":{"title":"Explicit Coplanarity","stem":"Explicit data: P12, Q12, R12, S12 are not coplanar. Are the four points coplanar?","answer":{"kind":"choice","value":"No","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are not coplanar; no conclusion is inferred from a drawing."},"skills":["coplanarity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-coplanarity-classification-0013","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"116add1a5787daa0c54d40d7056f43ec456a4e964476f795bcb9c06fbcf2bb22","family_id":"qf-explicit-coplanarity-classification","seed":20261230,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":true,\"explicit_negative\":false,\"points\":[\"P13\",\"Q13\",\"R13\",\"S13\"]}"},"fields":{"title":"Explicit Coplanarity","stem":"Explicit data: P13, Q13, R13, S13 are coplanar. Are the four points coplanar?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are coplanar; no conclusion is inferred from a drawing."},"skills":["coplanarity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-coplanarity-classification-0014","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"f6cd48ad4e73d41334e0f7ca2af5062f9f936b5f346df8458291ca3149b5d4d4","family_id":"qf-explicit-coplanarity-classification","seed":20261231,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":false,\"explicit_negative\":true,\"points\":[\"P14\",\"Q14\",\"R14\",\"S14\"]}"},"fields":{"title":"Explicit Coplanarity","stem":"Explicit data: P14, Q14, R14, S14 are not coplanar. Are the four points coplanar?","answer":{"kind":"choice","value":"No","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are not coplanar; no conclusion is inferred from a drawing."},"skills":["coplanarity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-coplanarity-classification-0015","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"968ddccf92dd16a10641cb2746edd99a65c22c433427841d303ff5dfc2aab94f","family_id":"qf-explicit-coplanarity-classification","seed":20261232,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":true,\"explicit_negative\":false,\"points\":[\"P15\",\"Q15\",\"R15\",\"S15\"]}"},"fields":{"title":"Explicit Coplanarity","stem":"Explicit data: P15, Q15, R15, S15 are coplanar. Are the four points coplanar?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are coplanar; no conclusion is inferred from a drawing."},"skills":["coplanarity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-coplanarity-classification-0016","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"d072d0d6ee0c72f015ca35220bcdec58ea5cb579a50260f47255ef5247c2669d","family_id":"qf-explicit-coplanarity-classification","seed":20261233,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":false,\"explicit_negative\":true,\"points\":[\"P16\",\"Q16\",\"R16\",\"S16\"]}"},"fields":{"title":"Explicit Coplanarity","stem":"Explicit data: P16, Q16, R16, S16 are not coplanar. Are the four points coplanar?","answer":{"kind":"choice","value":"No","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are not coplanar; no conclusion is inferred from a drawing."},"skills":["coplanarity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-coplanarity-classification-0017","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"ffff454b8c6bb9e4380ebf31b5dae7bc5822ab318bbff2513de1ca7d1c5ece40","family_id":"qf-explicit-coplanarity-classification","seed":20261234,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":true,\"explicit_negative\":false,\"points\":[\"P17\",\"Q17\",\"R17\",\"S17\"]}"},"fields":{"title":"Explicit Coplanarity","stem":"Explicit data: P17, Q17, R17, S17 are coplanar. Are the four points coplanar?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are coplanar; no conclusion is inferred from a drawing."},"skills":["coplanarity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-coplanarity-classification-0018","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"1efc069dc1addcf78d0ef05c7add7ed538fcf0379e595b424bf8822f446bc245","family_id":"qf-explicit-coplanarity-classification","seed":20261235,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":false,\"explicit_negative\":true,\"points\":[\"P18\",\"Q18\",\"R18\",\"S18\"]}"},"fields":{"title":"Explicit Coplanarity","stem":"Explicit data: P18, Q18, R18, S18 are not coplanar. Are the four points coplanar?","answer":{"kind":"choice","value":"No","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are not coplanar; no conclusion is inferred from a drawing."},"skills":["coplanarity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-coplanarity-classification-0019","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"f075ab9ce40592cf0d0c0b5b2807cf9496353f386e8ce4b7009df25923cd39ae","family_id":"qf-explicit-coplanarity-classification","seed":20261236,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":true,\"explicit_negative\":false,\"points\":[\"P19\",\"Q19\",\"R19\",\"S19\"]}"},"fields":{"title":"Explicit Coplanarity","stem":"Explicit data: P19, Q19, R19, S19 are coplanar. Are the four points coplanar?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are coplanar; no conclusion is inferred from a drawing."},"skills":["coplanarity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-coplanarity-classification-0020","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"82319b7bf7f56e387c3e86e0f7b837bb05f8e9627035a297816b6df6495282ba","family_id":"qf-explicit-coplanarity-classification","seed":20261237,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":false,\"explicit_negative\":true,\"points\":[\"P20\",\"Q20\",\"R20\",\"S20\"]}"},"fields":{"title":"Explicit Coplanarity","stem":"Explicit data: P20, Q20, R20, S20 are not coplanar. Are the four points coplanar?","answer":{"kind":"choice","value":"No","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are not coplanar; no conclusion is inferred from a drawing."},"skills":["coplanarity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-coplanarity-classification-0021","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"4481eb03cec65af553925f3a3cf64565afedd8f172140e7cbf3b5d8515dbf888","family_id":"qf-explicit-coplanarity-classification","seed":20261238,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":true,\"explicit_negative\":false,\"points\":[\"P21\",\"Q21\",\"R21\",\"S21\"]}"},"fields":{"title":"Explicit Coplanarity","stem":"Explicit data: P21, Q21, R21, S21 are coplanar. Are the four points coplanar?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are coplanar; no conclusion is inferred from a drawing."},"skills":["coplanarity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-coplanarity-classification-0022","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"52a089a41290479f949f6f8d4d1e8909b97ff4f5f4a1d2b4d204d37fa5f4c10e","family_id":"qf-explicit-coplanarity-classification","seed":20261239,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":false,\"explicit_negative\":true,\"points\":[\"P22\",\"Q22\",\"R22\",\"S22\"]}"},"fields":{"title":"Explicit Coplanarity","stem":"Explicit data: P22, Q22, R22, S22 are not coplanar. Are the four points coplanar?","answer":{"kind":"choice","value":"No","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are not coplanar; no conclusion is inferred from a drawing."},"skills":["coplanarity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-coplanarity-classification-0023","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"26853627842f62b1e85ba65957b3789ae27e9d620ef6e06c50bb951126b9f89c","family_id":"qf-explicit-coplanarity-classification","seed":20261240,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":true,\"explicit_negative\":false,\"points\":[\"P23\",\"Q23\",\"R23\",\"S23\"]}"},"fields":{"title":"Explicit Coplanarity","stem":"Explicit data: P23, Q23, R23, S23 are coplanar. Are the four points coplanar?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are coplanar; no conclusion is inferred from a drawing."},"skills":["coplanarity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-coplanarity-classification-0024","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"3b34012cec51141653dd0cfea4a10385806813f5576402636f5cab63f2d86ad1","family_id":"qf-explicit-coplanarity-classification","seed":20261241,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":false,\"explicit_negative\":true,\"points\":[\"P24\",\"Q24\",\"R24\",\"S24\"]}"},"fields":{"title":"Explicit Coplanarity","stem":"Explicit data: P24, Q24, R24, S24 are not coplanar. Are the four points coplanar?","answer":{"kind":"choice","value":"No","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are not coplanar; no conclusion is inferred from a drawing."},"skills":["coplanarity","explicit data"],"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."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260917-explicit-coplanarity-classification-0025","batch_id":"batch-20260917-point-line-plane","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"d1c8f396883001b8fcdab2a26e4baf254483f4d66a5fb998cb33ecc9620e0710","family_id":"qf-explicit-coplanarity-classification","seed":20261242,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":true,\"explicit_negative\":false,\"points\":[\"P25\",\"Q25\",\"R25\",\"S25\"]}"},"fields":{"title":"Explicit Coplanarity","stem":"Explicit data: P25, Q25, R25, S25 are coplanar. Are the four points coplanar?","answer":{"kind":"choice","value":"Yes","choices":["Yes","No"],"explanation":"The prompt explicitly states that the points are coplanar; no conclusion is inferred from a drawing."},"skills":["coplanarity","explicit data"],"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."}}