{"char_count":2303,"item_id":"train-d01-000::linear_trace","label":"TRUE","lexical_token_proxy_count":400,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_84606da64c5a node_type=claim\nt=0001 CREATE_NODE id=n_99f2232d322c node_type=claim\nt=0002 CREATE_NODE id=n_046476357630 node_type=claim\nt=0003 CREATE_NODE id=n_50b63cd1d044 node_type=claim\nt=0004 CREATE_NODE id=n_e048fe736404 node_type=claim\nt=0005 CREATE_NODE id=n_9456e0b023e4 node_type=claim\nt=0006 CREATE_NODE id=n_031c0c4484ee node_type=claim\nt=0007 CREATE_NODE id=n_963ae6e58009 node_type=claim\nt=0008 CREATE_NODE id=n_bc367e88935f node_type=claim\nt=0009 CREATE_NODE id=n_362beb74f177 node_type=claim\nt=0010 CREATE_NODE id=n_6c929b50bd55 node_type=claim\nt=0011 CREATE_NODE id=n_7f8cf543d6a0 node_type=claim\nt=0012 ASSERT_ROOT node=n_362beb74f177 value=TRUE\nt=0013 ADD_EDGE edge_id=e_7c302d0de21d source=n_7f8cf543d6a0 edge_type=refutes target=n_84606da64c5a\nt=0014 ADD_EDGE edge_id=e_c87f8b0be3bb source=n_362beb74f177 edge_type=supports target=n_7f8cf543d6a0\nt=0015 ADD_EDGE edge_id=e_27da58f64b69 source=n_046476357630 edge_type=supports target=n_963ae6e58009\nt=0016 ADD_EDGE edge_id=e_c0a8197ed67b source=n_046476357630 edge_type=refutes target=n_e048fe736404\nt=0017 ADD_EDGE edge_id=e_1d28c054601d source=n_362beb74f177 edge_type=supports target=n_031c0c4484ee\nt=0018 ADD_EDGE edge_id=e_ab41f75c4e62 source=n_7f8cf543d6a0 edge_type=refutes target=n_50b63cd1d044\nt=0019 ADD_EDGE edge_id=e_f86f2005844b source=n_7f8cf543d6a0 edge_type=supports target=n_bc367e88935f\nt=0020 ADD_EDGE edge_id=e_19514fb2cc51 source=n_99f2232d322c edge_type=refutes target=n_6c929b50bd55\nt=0021 ADD_EDGE edge_id=e_af1224f07f0a source=n_9456e0b023e4 edge_type=refutes target=n_99f2232d322c\nt=0022 ADD_EDGE edge_id=e_5445362adbc0 source=n_9456e0b023e4 edge_type=supports target=n_046476357630\nt=0023 QUERY source=n_362beb74f177 target=n_7f8cf543d6a0\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1186,"provenance":{"base_record_id":"train-d01-000","dataset":"livegraph-deterministic-parity-v3","depth":1,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d01-000","split":"train","variant":"clean"},"record_seed":908897426723280695,"render_sha256":"f9a74ad06476cae888c966b70695b6aeb2f3f7cdd5a99e23aea5f87a7484a9d6","representation":"linear_trace","semantic_sha256":"5f4754b8c2221bc593a8f4aaca83ab4357cceba6eccf597a71568a05461c9245"}
{"char_count":2303,"item_id":"train-d01-001::linear_trace","label":"FALSE","lexical_token_proxy_count":400,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_2847c53701b8 node_type=claim\nt=0001 CREATE_NODE id=n_b29176e69641 node_type=claim\nt=0002 CREATE_NODE id=n_ad6567b96d02 node_type=claim\nt=0003 CREATE_NODE id=n_868bdee72b8b node_type=claim\nt=0004 CREATE_NODE id=n_f6005584ef83 node_type=claim\nt=0005 CREATE_NODE id=n_9a26143131ae node_type=claim\nt=0006 CREATE_NODE id=n_340747cea7d2 node_type=claim\nt=0007 CREATE_NODE id=n_c7c13e2a7312 node_type=claim\nt=0008 CREATE_NODE id=n_7f74a90e9a79 node_type=claim\nt=0009 CREATE_NODE id=n_0b595af50230 node_type=claim\nt=0010 CREATE_NODE id=n_c3c81a8716cc node_type=claim\nt=0011 CREATE_NODE id=n_0fece804d9aa node_type=claim\nt=0012 ASSERT_ROOT node=n_b29176e69641 value=TRUE\nt=0013 ADD_EDGE edge_id=e_38bd476cd4f2 source=n_ad6567b96d02 edge_type=refutes target=n_868bdee72b8b\nt=0014 ADD_EDGE edge_id=e_95e03c4fcc32 source=n_b29176e69641 edge_type=refutes target=n_2847c53701b8\nt=0015 ADD_EDGE edge_id=e_8f6203774d6a source=n_f6005584ef83 edge_type=supports target=n_9a26143131ae\nt=0016 ADD_EDGE edge_id=e_1b6bb670aa2d source=n_2847c53701b8 edge_type=supports target=n_340747cea7d2\nt=0017 ADD_EDGE edge_id=e_a1aa27ba5a9a source=n_2847c53701b8 edge_type=supports target=n_c3c81a8716cc\nt=0018 ADD_EDGE edge_id=e_9d5e3acbafab source=n_f6005584ef83 edge_type=refutes target=n_0fece804d9aa\nt=0019 ADD_EDGE edge_id=e_b185f83bf8cd source=n_0fece804d9aa edge_type=supports target=n_ad6567b96d02\nt=0020 ADD_EDGE edge_id=e_76b80422ab4a source=n_0fece804d9aa edge_type=refutes target=n_0b595af50230\nt=0021 ADD_EDGE edge_id=e_65dbfe6babee source=n_b29176e69641 edge_type=supports target=n_c7c13e2a7312\nt=0022 ADD_EDGE edge_id=e_237214e13251 source=n_2847c53701b8 edge_type=refutes target=n_7f74a90e9a79\nt=0023 QUERY source=n_b29176e69641 target=n_2847c53701b8\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1177,"provenance":{"base_record_id":"train-d01-001","dataset":"livegraph-deterministic-parity-v3","depth":1,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d01-001","split":"train","variant":"clean"},"record_seed":1121405483303053038,"render_sha256":"7d657efa2ed3afa941313abeb4295ecdaaf5619bb1f88a78c3b580e056d34204","representation":"linear_trace","semantic_sha256":"4bbbc53a53a3b4d1d71548ca4c18226d24a0be3444d2476276e4acd947305334"}
{"char_count":2304,"item_id":"train-d01-002::linear_trace","label":"TRUE","lexical_token_proxy_count":400,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_ed906744cbb2 node_type=claim\nt=0001 CREATE_NODE id=n_209113745b7a node_type=claim\nt=0002 CREATE_NODE id=n_791d91e9f76a node_type=claim\nt=0003 CREATE_NODE id=n_80782c63af5e node_type=claim\nt=0004 CREATE_NODE id=n_fe9e38655b7a node_type=claim\nt=0005 CREATE_NODE id=n_62154f4a0fb7 node_type=claim\nt=0006 CREATE_NODE id=n_37c129abb23f node_type=claim\nt=0007 CREATE_NODE id=n_c51e044dc62f node_type=claim\nt=0008 CREATE_NODE id=n_b3d524142f10 node_type=claim\nt=0009 CREATE_NODE id=n_cbf34f39f68a node_type=claim\nt=0010 CREATE_NODE id=n_5588458ffa86 node_type=claim\nt=0011 CREATE_NODE id=n_50dd9c701a84 node_type=claim\nt=0012 ASSERT_ROOT node=n_791d91e9f76a value=FALSE\nt=0013 ADD_EDGE edge_id=e_df3d2c7249dd source=n_791d91e9f76a edge_type=refutes target=n_37c129abb23f\nt=0014 ADD_EDGE edge_id=e_4359584513fc source=n_791d91e9f76a edge_type=refutes target=n_cbf34f39f68a\nt=0015 ADD_EDGE edge_id=e_78dd63be94e5 source=n_209113745b7a edge_type=supports target=n_ed906744cbb2\nt=0016 ADD_EDGE edge_id=e_cf2013d068b7 source=n_5588458ffa86 edge_type=refutes target=n_50dd9c701a84\nt=0017 ADD_EDGE edge_id=e_16d04e66da1c source=n_209113745b7a edge_type=supports target=n_62154f4a0fb7\nt=0018 ADD_EDGE edge_id=e_31723ab6ae2c source=n_37c129abb23f edge_type=supports target=n_c51e044dc62f\nt=0019 ADD_EDGE edge_id=e_615653c1ec1c source=n_ed906744cbb2 edge_type=supports target=n_5588458ffa86\nt=0020 ADD_EDGE edge_id=e_8abe9e057207 source=n_37c129abb23f edge_type=supports target=n_80782c63af5e\nt=0021 ADD_EDGE edge_id=e_4f8a9197b091 source=n_5588458ffa86 edge_type=refutes target=n_fe9e38655b7a\nt=0022 ADD_EDGE edge_id=e_39f5a6555a64 source=n_37c129abb23f edge_type=refutes target=n_b3d524142f10\nt=0023 QUERY source=n_791d91e9f76a target=n_37c129abb23f\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1177,"provenance":{"base_record_id":"train-d01-002","dataset":"livegraph-deterministic-parity-v3","depth":1,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d01-002","split":"train","variant":"clean"},"record_seed":480197899945515282,"render_sha256":"9a7b485205724bd42bf8c5af4b702ac4b45b66eebe695910340ae02619e74f93","representation":"linear_trace","semantic_sha256":"ef31a5667d5ac2b48808aeaaa54dde2a20062654f2d5b821edf4916cd113c40c"}
{"char_count":2304,"item_id":"train-d01-003::linear_trace","label":"FALSE","lexical_token_proxy_count":400,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_f0ea4df73ca5 node_type=claim\nt=0001 CREATE_NODE id=n_d8926ece3188 node_type=claim\nt=0002 CREATE_NODE id=n_368628c34940 node_type=claim\nt=0003 CREATE_NODE id=n_884e196ecead node_type=claim\nt=0004 CREATE_NODE id=n_2f283f9d97b9 node_type=claim\nt=0005 CREATE_NODE id=n_c77fddedf69c node_type=claim\nt=0006 CREATE_NODE id=n_ad0a92f6abc5 node_type=claim\nt=0007 CREATE_NODE id=n_bd8908049ba6 node_type=claim\nt=0008 CREATE_NODE id=n_67c4d0902ef2 node_type=claim\nt=0009 CREATE_NODE id=n_bacad2ba1638 node_type=claim\nt=0010 CREATE_NODE id=n_6deddc1033c9 node_type=claim\nt=0011 CREATE_NODE id=n_497149c93f4c node_type=claim\nt=0012 ASSERT_ROOT node=n_c77fddedf69c value=FALSE\nt=0013 ADD_EDGE edge_id=e_4b51bc402269 source=n_2f283f9d97b9 edge_type=supports target=n_497149c93f4c\nt=0014 ADD_EDGE edge_id=e_ae67539c1e24 source=n_c77fddedf69c edge_type=supports target=n_bd8908049ba6\nt=0015 ADD_EDGE edge_id=e_e18b9402f72f source=n_2f283f9d97b9 edge_type=supports target=n_884e196ecead\nt=0016 ADD_EDGE edge_id=e_ad825387ab04 source=n_bd8908049ba6 edge_type=refutes target=n_d8926ece3188\nt=0017 ADD_EDGE edge_id=e_e7913cde7681 source=n_c77fddedf69c edge_type=supports target=n_ad0a92f6abc5\nt=0018 ADD_EDGE edge_id=e_35bb57995b83 source=n_884e196ecead edge_type=refutes target=n_67c4d0902ef2\nt=0019 ADD_EDGE edge_id=e_bef11ea944b5 source=n_c77fddedf69c edge_type=supports target=n_bacad2ba1638\nt=0020 ADD_EDGE edge_id=e_7d1e81d7155e source=n_6deddc1033c9 edge_type=refutes target=n_2f283f9d97b9\nt=0021 ADD_EDGE edge_id=e_286203cf7429 source=n_67c4d0902ef2 edge_type=refutes target=n_368628c34940\nt=0022 ADD_EDGE edge_id=e_8a7be46eca3c source=n_bd8908049ba6 edge_type=refutes target=n_f0ea4df73ca5\nt=0023 QUERY source=n_c77fddedf69c target=n_bd8908049ba6\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1144,"provenance":{"base_record_id":"train-d01-003","dataset":"livegraph-deterministic-parity-v3","depth":1,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d01-003","split":"train","variant":"clean"},"record_seed":345016379837740049,"render_sha256":"4683e881d09a3a753a8b426fecdf71621171eef642d0305c562cd6cee22473f2","representation":"linear_trace","semantic_sha256":"43908454577fbf95834a4197154e6c894bb50d8168e35db4817a3f439619c39d"}
{"char_count":2303,"item_id":"train-d01-004::linear_trace","label":"TRUE","lexical_token_proxy_count":400,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_03fab6848bb8 node_type=claim\nt=0001 CREATE_NODE id=n_938aea3cd963 node_type=claim\nt=0002 CREATE_NODE id=n_3ebbd257588f node_type=claim\nt=0003 CREATE_NODE id=n_bef3072cc472 node_type=claim\nt=0004 CREATE_NODE id=n_5f6c74efe332 node_type=claim\nt=0005 CREATE_NODE id=n_8736c547db02 node_type=claim\nt=0006 CREATE_NODE id=n_63ab31e036da node_type=claim\nt=0007 CREATE_NODE id=n_962d620c6584 node_type=claim\nt=0008 CREATE_NODE id=n_9980d1f0e915 node_type=claim\nt=0009 CREATE_NODE id=n_c42327d21fac node_type=claim\nt=0010 CREATE_NODE id=n_b57acea21145 node_type=claim\nt=0011 CREATE_NODE id=n_81ac16551512 node_type=claim\nt=0012 ASSERT_ROOT node=n_938aea3cd963 value=TRUE\nt=0013 ADD_EDGE edge_id=e_8caa5c9beea9 source=n_938aea3cd963 edge_type=supports target=n_5f6c74efe332\nt=0014 ADD_EDGE edge_id=e_3d5ac8e02da7 source=n_03fab6848bb8 edge_type=supports target=n_bef3072cc472\nt=0015 ADD_EDGE edge_id=e_2df0a3fd8b73 source=n_c42327d21fac edge_type=supports target=n_3ebbd257588f\nt=0016 ADD_EDGE edge_id=e_7d9f608fd8c8 source=n_938aea3cd963 edge_type=supports target=n_63ab31e036da\nt=0017 ADD_EDGE edge_id=e_8c49d963eb3b source=n_bef3072cc472 edge_type=refutes target=n_962d620c6584\nt=0018 ADD_EDGE edge_id=e_7fe29fbf19fe source=n_63ab31e036da edge_type=refutes target=n_81ac16551512\nt=0019 ADD_EDGE edge_id=e_f577fa3277e9 source=n_962d620c6584 edge_type=supports target=n_b57acea21145\nt=0020 ADD_EDGE edge_id=e_79a2198842c3 source=n_962d620c6584 edge_type=refutes target=n_c42327d21fac\nt=0021 ADD_EDGE edge_id=e_7979a330a211 source=n_938aea3cd963 edge_type=refutes target=n_9980d1f0e915\nt=0022 ADD_EDGE edge_id=e_3d103e028bc1 source=n_938aea3cd963 edge_type=refutes target=n_8736c547db02\nt=0023 QUERY source=n_938aea3cd963 target=n_63ab31e036da\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1144,"provenance":{"base_record_id":"train-d01-004","dataset":"livegraph-deterministic-parity-v3","depth":1,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d01-004","split":"train","variant":"clean"},"record_seed":1141268423154110526,"render_sha256":"8884f65a1cce8b86a3ff4c65a444d06c72c1a5a9b0225085edb17969532f7586","representation":"linear_trace","semantic_sha256":"222d005c6c756b365befc9c465f926515b422503b977405b9b5ee879fa28fe1d"}
{"char_count":2303,"item_id":"train-d01-005::linear_trace","label":"FALSE","lexical_token_proxy_count":400,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_e0e43d07c3e9 node_type=claim\nt=0001 CREATE_NODE id=n_a2df4aa1a182 node_type=claim\nt=0002 CREATE_NODE id=n_0486dc5d2d4e node_type=claim\nt=0003 CREATE_NODE id=n_258eb0369f52 node_type=claim\nt=0004 CREATE_NODE id=n_f1548998065d node_type=claim\nt=0005 CREATE_NODE id=n_375cc0bcf91f node_type=claim\nt=0006 CREATE_NODE id=n_a60860c5caf7 node_type=claim\nt=0007 CREATE_NODE id=n_60998521a669 node_type=claim\nt=0008 CREATE_NODE id=n_6093241fb83e node_type=claim\nt=0009 CREATE_NODE id=n_91e11d413b89 node_type=claim\nt=0010 CREATE_NODE id=n_73177c1ab6b1 node_type=claim\nt=0011 CREATE_NODE id=n_e63604635878 node_type=claim\nt=0012 ASSERT_ROOT node=n_e63604635878 value=TRUE\nt=0013 ADD_EDGE edge_id=e_e630ee039fe6 source=n_e63604635878 edge_type=supports target=n_375cc0bcf91f\nt=0014 ADD_EDGE edge_id=e_667555704f9e source=n_0486dc5d2d4e edge_type=refutes target=n_e0e43d07c3e9\nt=0015 ADD_EDGE edge_id=e_cee48952ef08 source=n_e0e43d07c3e9 edge_type=refutes target=n_a2df4aa1a182\nt=0016 ADD_EDGE edge_id=e_7faff16064f2 source=n_e63604635878 edge_type=refutes target=n_91e11d413b89\nt=0017 ADD_EDGE edge_id=e_d7c7e32c13d2 source=n_e0e43d07c3e9 edge_type=refutes target=n_f1548998065d\nt=0018 ADD_EDGE edge_id=e_11e8d59baef0 source=n_e63604635878 edge_type=supports target=n_60998521a669\nt=0019 ADD_EDGE edge_id=e_1a230a5fe087 source=n_e63604635878 edge_type=supports target=n_a60860c5caf7\nt=0020 ADD_EDGE edge_id=e_5f44b4be7653 source=n_0486dc5d2d4e edge_type=supports target=n_258eb0369f52\nt=0021 ADD_EDGE edge_id=e_f42c05c783b2 source=n_73177c1ab6b1 edge_type=refutes target=n_0486dc5d2d4e\nt=0022 ADD_EDGE edge_id=e_7a11d51bb2f6 source=n_91e11d413b89 edge_type=supports target=n_6093241fb83e\nt=0023 QUERY source=n_e63604635878 target=n_91e11d413b89\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1193,"provenance":{"base_record_id":"train-d01-005","dataset":"livegraph-deterministic-parity-v3","depth":1,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d01-005","split":"train","variant":"clean"},"record_seed":1062464230007254743,"render_sha256":"446ac744e013120410f8aba4f79ca78720aa5ce89f64d3f33ca6c03d3d6fb435","representation":"linear_trace","semantic_sha256":"d2e5a17202324348ab0f49efcc6b63a2195e14cd1d6728ffc175d92f556654ea"}
{"char_count":2304,"item_id":"train-d01-006::linear_trace","label":"TRUE","lexical_token_proxy_count":400,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_464c91317e1a node_type=claim\nt=0001 CREATE_NODE id=n_e188ded5a9c1 node_type=claim\nt=0002 CREATE_NODE id=n_23b55d4b53df node_type=claim\nt=0003 CREATE_NODE id=n_9522108f3e4e node_type=claim\nt=0004 CREATE_NODE id=n_973f650711f0 node_type=claim\nt=0005 CREATE_NODE id=n_35a3d1a60d53 node_type=claim\nt=0006 CREATE_NODE id=n_b1175b7f6b3d node_type=claim\nt=0007 CREATE_NODE id=n_9e0a9b0620ee node_type=claim\nt=0008 CREATE_NODE id=n_284cd540bb93 node_type=claim\nt=0009 CREATE_NODE id=n_7f48d5582782 node_type=claim\nt=0010 CREATE_NODE id=n_40ad89e4b374 node_type=claim\nt=0011 CREATE_NODE id=n_a5809323a697 node_type=claim\nt=0012 ASSERT_ROOT node=n_284cd540bb93 value=FALSE\nt=0013 ADD_EDGE edge_id=e_f4704a776f50 source=n_973f650711f0 edge_type=refutes target=n_7f48d5582782\nt=0014 ADD_EDGE edge_id=e_d4b49b0dbcfc source=n_284cd540bb93 edge_type=refutes target=n_464c91317e1a\nt=0015 ADD_EDGE edge_id=e_881cbba59d93 source=n_973f650711f0 edge_type=refutes target=n_b1175b7f6b3d\nt=0016 ADD_EDGE edge_id=e_ccaff41eb3e6 source=n_284cd540bb93 edge_type=supports target=n_9522108f3e4e\nt=0017 ADD_EDGE edge_id=e_8544cd01a52d source=n_a5809323a697 edge_type=refutes target=n_9e0a9b0620ee\nt=0018 ADD_EDGE edge_id=e_afcb781bb77c source=n_464c91317e1a edge_type=refutes target=n_35a3d1a60d53\nt=0019 ADD_EDGE edge_id=e_30b136c4e3df source=n_b1175b7f6b3d edge_type=supports target=n_40ad89e4b374\nt=0020 ADD_EDGE edge_id=e_0916d33c5013 source=n_464c91317e1a edge_type=supports target=n_23b55d4b53df\nt=0021 ADD_EDGE edge_id=e_7c7b2a908094 source=n_9e0a9b0620ee edge_type=supports target=n_973f650711f0\nt=0022 ADD_EDGE edge_id=e_fb34846915b2 source=n_284cd540bb93 edge_type=supports target=n_e188ded5a9c1\nt=0023 QUERY source=n_284cd540bb93 target=n_464c91317e1a\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1190,"provenance":{"base_record_id":"train-d01-006","dataset":"livegraph-deterministic-parity-v3","depth":1,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d01-006","split":"train","variant":"clean"},"record_seed":585061237169093168,"render_sha256":"d51b66bde246a61e8380a58bcdf7c7bd8ea4cb7908c644f5e6c79b4ccfbf992e","representation":"linear_trace","semantic_sha256":"1fb479be593d123e4498b32838e804c017c6d33f87d733c034b54ca11c8b30b6"}
{"char_count":2304,"item_id":"train-d01-007::linear_trace","label":"FALSE","lexical_token_proxy_count":400,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_1e7533cecb84 node_type=claim\nt=0001 CREATE_NODE id=n_053ca8ea0b90 node_type=claim\nt=0002 CREATE_NODE id=n_aaf715309ce4 node_type=claim\nt=0003 CREATE_NODE id=n_0f9036b37aa1 node_type=claim\nt=0004 CREATE_NODE id=n_46648a4b0c3d node_type=claim\nt=0005 CREATE_NODE id=n_b4d6683782bf node_type=claim\nt=0006 CREATE_NODE id=n_6bd9dab0b781 node_type=claim\nt=0007 CREATE_NODE id=n_7172744c5262 node_type=claim\nt=0008 CREATE_NODE id=n_43ebdf4e6a14 node_type=claim\nt=0009 CREATE_NODE id=n_b4d9c236043f node_type=claim\nt=0010 CREATE_NODE id=n_3e9ff32f4786 node_type=claim\nt=0011 CREATE_NODE id=n_0a6244f1cb5c node_type=claim\nt=0012 ASSERT_ROOT node=n_aaf715309ce4 value=FALSE\nt=0013 ADD_EDGE edge_id=e_45516dec09fd source=n_053ca8ea0b90 edge_type=supports target=n_0a6244f1cb5c\nt=0014 ADD_EDGE edge_id=e_651442242801 source=n_3e9ff32f4786 edge_type=refutes target=n_0f9036b37aa1\nt=0015 ADD_EDGE edge_id=e_3662421f4e63 source=n_aaf715309ce4 edge_type=supports target=n_3e9ff32f4786\nt=0016 ADD_EDGE edge_id=e_5f7a808ec54c source=n_b4d6683782bf edge_type=refutes target=n_7172744c5262\nt=0017 ADD_EDGE edge_id=e_1dac8f49e3fb source=n_aaf715309ce4 edge_type=supports target=n_46648a4b0c3d\nt=0018 ADD_EDGE edge_id=e_0333eabe1411 source=n_b4d6683782bf edge_type=refutes target=n_053ca8ea0b90\nt=0019 ADD_EDGE edge_id=e_199751c09ebd source=n_aaf715309ce4 edge_type=supports target=n_1e7533cecb84\nt=0020 ADD_EDGE edge_id=e_9ba1b4e426dc source=n_b4d6683782bf edge_type=supports target=n_43ebdf4e6a14\nt=0021 ADD_EDGE edge_id=e_d9739be1d44b source=n_3e9ff32f4786 edge_type=refutes target=n_b4d9c236043f\nt=0022 ADD_EDGE edge_id=e_2ee472f3b0ab source=n_053ca8ea0b90 edge_type=refutes target=n_6bd9dab0b781\nt=0023 QUERY source=n_aaf715309ce4 target=n_3e9ff32f4786\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1158,"provenance":{"base_record_id":"train-d01-007","dataset":"livegraph-deterministic-parity-v3","depth":1,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d01-007","split":"train","variant":"clean"},"record_seed":231858447380119159,"render_sha256":"8d7a8fb9231cd4561c7e437d7b3750d3d377ecb3198abbcfe0ea5cd5fff66cb9","representation":"linear_trace","semantic_sha256":"c1f43356294761014e9acaffc707bc162814032ee648e8e2f9c007e77f3b8b52"}
{"char_count":2303,"item_id":"train-d01-008::linear_trace","label":"TRUE","lexical_token_proxy_count":400,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_7a3875d80aa3 node_type=claim\nt=0001 CREATE_NODE id=n_9eeabf2c9479 node_type=claim\nt=0002 CREATE_NODE id=n_3aa44a715512 node_type=claim\nt=0003 CREATE_NODE id=n_9d384bfd58d0 node_type=claim\nt=0004 CREATE_NODE id=n_e318c1e25c16 node_type=claim\nt=0005 CREATE_NODE id=n_17f0defe1e50 node_type=claim\nt=0006 CREATE_NODE id=n_799fbb6fa56c node_type=claim\nt=0007 CREATE_NODE id=n_d78512efd6c1 node_type=claim\nt=0008 CREATE_NODE id=n_a76c628a8fdf node_type=claim\nt=0009 CREATE_NODE id=n_f08523838de6 node_type=claim\nt=0010 CREATE_NODE id=n_60b23c7e3662 node_type=claim\nt=0011 CREATE_NODE id=n_b22cbc3dd5d7 node_type=claim\nt=0012 ASSERT_ROOT node=n_60b23c7e3662 value=TRUE\nt=0013 ADD_EDGE edge_id=e_7aa900a1eb99 source=n_d78512efd6c1 edge_type=supports target=n_3aa44a715512\nt=0014 ADD_EDGE edge_id=e_b3e0fda24b55 source=n_60b23c7e3662 edge_type=refutes target=n_17f0defe1e50\nt=0015 ADD_EDGE edge_id=e_98f04d9a62ed source=n_a76c628a8fdf edge_type=supports target=n_9eeabf2c9479\nt=0016 ADD_EDGE edge_id=e_ff9077f2f304 source=n_9eeabf2c9479 edge_type=refutes target=n_e318c1e25c16\nt=0017 ADD_EDGE edge_id=e_e296b80459a5 source=n_60b23c7e3662 edge_type=supports target=n_9d384bfd58d0\nt=0018 ADD_EDGE edge_id=e_304b8404b8dd source=n_60b23c7e3662 edge_type=supports target=n_f08523838de6\nt=0019 ADD_EDGE edge_id=e_1120f25c6ab3 source=n_9d384bfd58d0 edge_type=supports target=n_b22cbc3dd5d7\nt=0020 ADD_EDGE edge_id=e_b7586edfabd5 source=n_7a3875d80aa3 edge_type=refutes target=n_a76c628a8fdf\nt=0021 ADD_EDGE edge_id=e_32db8691c209 source=n_60b23c7e3662 edge_type=refutes target=n_799fbb6fa56c\nt=0022 ADD_EDGE edge_id=e_fbb77fa09315 source=n_a76c628a8fdf edge_type=refutes target=n_d78512efd6c1\nt=0023 QUERY source=n_60b23c7e3662 target=n_9d384bfd58d0\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1174,"provenance":{"base_record_id":"train-d01-008","dataset":"livegraph-deterministic-parity-v3","depth":1,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d01-008","split":"train","variant":"clean"},"record_seed":707210174646823212,"render_sha256":"d7e3029a4d4c87f61dec1824a500eb3cf69c7a792bd5e33459b5d48c7e7595bc","representation":"linear_trace","semantic_sha256":"6f9171f404aa87d83db4154dccdaa65185c33bc2b2770f15ff7cd04bd61dae24"}
{"char_count":2303,"item_id":"train-d01-009::linear_trace","label":"FALSE","lexical_token_proxy_count":400,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_00e0227b82c6 node_type=claim\nt=0001 CREATE_NODE id=n_fde7a58dbcff node_type=claim\nt=0002 CREATE_NODE id=n_a4997531cbb9 node_type=claim\nt=0003 CREATE_NODE id=n_03e1c9b5a3e0 node_type=claim\nt=0004 CREATE_NODE id=n_1f6d5f4f2441 node_type=claim\nt=0005 CREATE_NODE id=n_660d07a0f41d node_type=claim\nt=0006 CREATE_NODE id=n_bc506fd3b524 node_type=claim\nt=0007 CREATE_NODE id=n_59efa1fc21c6 node_type=claim\nt=0008 CREATE_NODE id=n_1121efe2eb32 node_type=claim\nt=0009 CREATE_NODE id=n_63a3d1c5a17d node_type=claim\nt=0010 CREATE_NODE id=n_9fac0c79507d node_type=claim\nt=0011 CREATE_NODE id=n_5148b6b0602d node_type=claim\nt=0012 ASSERT_ROOT node=n_1f6d5f4f2441 value=TRUE\nt=0013 ADD_EDGE edge_id=e_ad203e9013dc source=n_63a3d1c5a17d edge_type=supports target=n_fde7a58dbcff\nt=0014 ADD_EDGE edge_id=e_300f98b093f4 source=n_9fac0c79507d edge_type=refutes target=n_59efa1fc21c6\nt=0015 ADD_EDGE edge_id=e_03be61590b9a source=n_63a3d1c5a17d edge_type=supports target=n_1121efe2eb32\nt=0016 ADD_EDGE edge_id=e_9e48381d5403 source=n_63a3d1c5a17d edge_type=supports target=n_a4997531cbb9\nt=0017 ADD_EDGE edge_id=e_5f397490e207 source=n_bc506fd3b524 edge_type=refutes target=n_5148b6b0602d\nt=0018 ADD_EDGE edge_id=e_7b08ce7cfdbb source=n_9fac0c79507d edge_type=supports target=n_660d07a0f41d\nt=0019 ADD_EDGE edge_id=e_a467984c6958 source=n_9fac0c79507d edge_type=supports target=n_03e1c9b5a3e0\nt=0020 ADD_EDGE edge_id=e_55702021517f source=n_1f6d5f4f2441 edge_type=refutes target=n_9fac0c79507d\nt=0021 ADD_EDGE edge_id=e_24effda9b3cc source=n_9fac0c79507d edge_type=refutes target=n_00e0227b82c6\nt=0022 ADD_EDGE edge_id=e_a4cc8a946020 source=n_63a3d1c5a17d edge_type=refutes target=n_bc506fd3b524\nt=0023 QUERY source=n_1f6d5f4f2441 target=n_9fac0c79507d\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1174,"provenance":{"base_record_id":"train-d01-009","dataset":"livegraph-deterministic-parity-v3","depth":1,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d01-009","split":"train","variant":"clean"},"record_seed":51279935376808074,"render_sha256":"110e7903852d31f636cfe382d81a662851bc2ef9707c68f73458b6f1d3fd3ebf","representation":"linear_trace","semantic_sha256":"4d36001baf365bf96a88e3ea7f2f66d5c37fa3481a5dbee98677572fc37a60ae"}
{"char_count":2304,"item_id":"train-d01-010::linear_trace","label":"TRUE","lexical_token_proxy_count":400,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_8d6a4742637f node_type=claim\nt=0001 CREATE_NODE id=n_f74eb3f03986 node_type=claim\nt=0002 CREATE_NODE id=n_6794f21f0242 node_type=claim\nt=0003 CREATE_NODE id=n_61fa4a2dd4fd node_type=claim\nt=0004 CREATE_NODE id=n_e7c4dba9f103 node_type=claim\nt=0005 CREATE_NODE id=n_a2840b038e49 node_type=claim\nt=0006 CREATE_NODE id=n_6b21538320e8 node_type=claim\nt=0007 CREATE_NODE id=n_14bf84350302 node_type=claim\nt=0008 CREATE_NODE id=n_b0aefb461de6 node_type=claim\nt=0009 CREATE_NODE id=n_0db1b437cc47 node_type=claim\nt=0010 CREATE_NODE id=n_15decf657355 node_type=claim\nt=0011 CREATE_NODE id=n_4f9cc94c67fa node_type=claim\nt=0012 ASSERT_ROOT node=n_b0aefb461de6 value=FALSE\nt=0013 ADD_EDGE edge_id=e_ac381ad407e4 source=n_b0aefb461de6 edge_type=refutes target=n_6b21538320e8\nt=0014 ADD_EDGE edge_id=e_a8de8feca856 source=n_0db1b437cc47 edge_type=supports target=n_14bf84350302\nt=0015 ADD_EDGE edge_id=e_7b6dc9d1034f source=n_15decf657355 edge_type=supports target=n_0db1b437cc47\nt=0016 ADD_EDGE edge_id=e_f1f00293c30e source=n_6b21538320e8 edge_type=refutes target=n_a2840b038e49\nt=0017 ADD_EDGE edge_id=e_bde06ed5a8c8 source=n_b0aefb461de6 edge_type=supports target=n_f74eb3f03986\nt=0018 ADD_EDGE edge_id=e_0da423192006 source=n_b0aefb461de6 edge_type=refutes target=n_6794f21f0242\nt=0019 ADD_EDGE edge_id=e_ed070d28f494 source=n_15decf657355 edge_type=supports target=n_8d6a4742637f\nt=0020 ADD_EDGE edge_id=e_7a63de960389 source=n_6b21538320e8 edge_type=refutes target=n_4f9cc94c67fa\nt=0021 ADD_EDGE edge_id=e_b853915d36c0 source=n_0db1b437cc47 edge_type=refutes target=n_e7c4dba9f103\nt=0022 ADD_EDGE edge_id=e_c908a3b72f1c source=n_0db1b437cc47 edge_type=supports target=n_61fa4a2dd4fd\nt=0023 QUERY source=n_b0aefb461de6 target=n_6b21538320e8\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1170,"provenance":{"base_record_id":"train-d01-010","dataset":"livegraph-deterministic-parity-v3","depth":1,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d01-010","split":"train","variant":"clean"},"record_seed":1135578316369801965,"render_sha256":"950011d7c288f574d9ee0fef4799380afc46a92349db8c813fa1fcf360684b2d","representation":"linear_trace","semantic_sha256":"c5adfcb3249c08f5f2cbc56c4403a29e0cbff5298f99dcdd07a0b609243947c0"}
{"char_count":2304,"item_id":"train-d01-011::linear_trace","label":"FALSE","lexical_token_proxy_count":400,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_731fe5380f6a node_type=claim\nt=0001 CREATE_NODE id=n_c228176c454a node_type=claim\nt=0002 CREATE_NODE id=n_32bb89ccbca9 node_type=claim\nt=0003 CREATE_NODE id=n_94384673b146 node_type=claim\nt=0004 CREATE_NODE id=n_e5a6cd380601 node_type=claim\nt=0005 CREATE_NODE id=n_156b88d8960f node_type=claim\nt=0006 CREATE_NODE id=n_0c918f99c2cb node_type=claim\nt=0007 CREATE_NODE id=n_d9602bcc3427 node_type=claim\nt=0008 CREATE_NODE id=n_23aed34fc1d9 node_type=claim\nt=0009 CREATE_NODE id=n_1ac8a8819c2e node_type=claim\nt=0010 CREATE_NODE id=n_1b7a61eed037 node_type=claim\nt=0011 CREATE_NODE id=n_9b17e8414a52 node_type=claim\nt=0012 ASSERT_ROOT node=n_1ac8a8819c2e value=FALSE\nt=0013 ADD_EDGE edge_id=e_208c9f35390f source=n_d9602bcc3427 edge_type=refutes target=n_156b88d8960f\nt=0014 ADD_EDGE edge_id=e_35ba1a43d34e source=n_1ac8a8819c2e edge_type=supports target=n_32bb89ccbca9\nt=0015 ADD_EDGE edge_id=e_e02a52f54a35 source=n_1b7a61eed037 edge_type=supports target=n_e5a6cd380601\nt=0016 ADD_EDGE edge_id=e_37ab25a56b1e source=n_32bb89ccbca9 edge_type=refutes target=n_9b17e8414a52\nt=0017 ADD_EDGE edge_id=e_3989f0bc8ecc source=n_1b7a61eed037 edge_type=refutes target=n_c228176c454a\nt=0018 ADD_EDGE edge_id=e_b2e2c58f0f4b source=n_32bb89ccbca9 edge_type=supports target=n_23aed34fc1d9\nt=0019 ADD_EDGE edge_id=e_654a5e6aae2a source=n_d9602bcc3427 edge_type=supports target=n_0c918f99c2cb\nt=0020 ADD_EDGE edge_id=e_fe22f3d34ec5 source=n_1ac8a8819c2e edge_type=refutes target=n_731fe5380f6a\nt=0021 ADD_EDGE edge_id=e_0f52d52f89bc source=n_1ac8a8819c2e edge_type=supports target=n_94384673b146\nt=0022 ADD_EDGE edge_id=e_19cd1b0d139a source=n_d9602bcc3427 edge_type=refutes target=n_1b7a61eed037\nt=0023 QUERY source=n_1ac8a8819c2e target=n_32bb89ccbca9\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1170,"provenance":{"base_record_id":"train-d01-011","dataset":"livegraph-deterministic-parity-v3","depth":1,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d01-011","split":"train","variant":"clean"},"record_seed":698827769890789557,"render_sha256":"74feb4c25d5f6f4d965b1a70d7f8ad7e3dd004cb5116d4942732e5a11b53190f","representation":"linear_trace","semantic_sha256":"919b547d9558c62de734776c1f230740d1f06c3762318cdec358ef4a21930bfe"}
{"char_count":2303,"item_id":"train-d01-012::linear_trace","label":"TRUE","lexical_token_proxy_count":400,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_195f0f1253a4 node_type=claim\nt=0001 CREATE_NODE id=n_821beac703ad node_type=claim\nt=0002 CREATE_NODE id=n_955524d08ce2 node_type=claim\nt=0003 CREATE_NODE id=n_80494d24f168 node_type=claim\nt=0004 CREATE_NODE id=n_721c2e65db3e node_type=claim\nt=0005 CREATE_NODE id=n_f18400861a01 node_type=claim\nt=0006 CREATE_NODE id=n_431bf6925868 node_type=claim\nt=0007 CREATE_NODE id=n_c50df474906f node_type=claim\nt=0008 CREATE_NODE id=n_9277363d77b6 node_type=claim\nt=0009 CREATE_NODE id=n_295d60f56483 node_type=claim\nt=0010 CREATE_NODE id=n_4e2eafb9ba7a node_type=claim\nt=0011 CREATE_NODE id=n_389dc540f679 node_type=claim\nt=0012 ASSERT_ROOT node=n_431bf6925868 value=TRUE\nt=0013 ADD_EDGE edge_id=e_94bf37069fd5 source=n_389dc540f679 edge_type=supports target=n_4e2eafb9ba7a\nt=0014 ADD_EDGE edge_id=e_be9281a18557 source=n_431bf6925868 edge_type=supports target=n_80494d24f168\nt=0015 ADD_EDGE edge_id=e_f755df1903cf source=n_f18400861a01 edge_type=refutes target=n_c50df474906f\nt=0016 ADD_EDGE edge_id=e_fba6557de207 source=n_80494d24f168 edge_type=refutes target=n_195f0f1253a4\nt=0017 ADD_EDGE edge_id=e_7e1ab41a3a69 source=n_80494d24f168 edge_type=refutes target=n_295d60f56483\nt=0018 ADD_EDGE edge_id=e_81edff307a19 source=n_c50df474906f edge_type=refutes target=n_389dc540f679\nt=0019 ADD_EDGE edge_id=e_73589b967bf1 source=n_80494d24f168 edge_type=refutes target=n_9277363d77b6\nt=0020 ADD_EDGE edge_id=e_99cf0d04959b source=n_f18400861a01 edge_type=supports target=n_955524d08ce2\nt=0021 ADD_EDGE edge_id=e_b8f5dcea9283 source=n_80494d24f168 edge_type=supports target=n_721c2e65db3e\nt=0022 ADD_EDGE edge_id=e_4b72e4649bda source=n_389dc540f679 edge_type=supports target=n_821beac703ad\nt=0023 QUERY source=n_431bf6925868 target=n_80494d24f168\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1187,"provenance":{"base_record_id":"train-d01-012","dataset":"livegraph-deterministic-parity-v3","depth":1,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d01-012","split":"train","variant":"clean"},"record_seed":846939813460520176,"render_sha256":"48f1dced80496157da81468eb1e95843b0031dd7853402460969a05fa8f65c7e","representation":"linear_trace","semantic_sha256":"14285b3f0c5fb4ac65398507998cd11bc16dc6ce1fa9339c6fd81bc1a0e6e3ed"}
{"char_count":2303,"item_id":"train-d01-013::linear_trace","label":"FALSE","lexical_token_proxy_count":400,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_0ba75c294e5f node_type=claim\nt=0001 CREATE_NODE id=n_35f831d1e7a6 node_type=claim\nt=0002 CREATE_NODE id=n_79b71ac1c623 node_type=claim\nt=0003 CREATE_NODE id=n_2ec9fc13f651 node_type=claim\nt=0004 CREATE_NODE id=n_ced84e083d18 node_type=claim\nt=0005 CREATE_NODE id=n_5fb506f0e67d node_type=claim\nt=0006 CREATE_NODE id=n_47180caf0e99 node_type=claim\nt=0007 CREATE_NODE id=n_0823a486c7f2 node_type=claim\nt=0008 CREATE_NODE id=n_ab3eecb7c4e1 node_type=claim\nt=0009 CREATE_NODE id=n_c41cbbca6de0 node_type=claim\nt=0010 CREATE_NODE id=n_736beb342357 node_type=claim\nt=0011 CREATE_NODE id=n_5fed9f7d9aa9 node_type=claim\nt=0012 ASSERT_ROOT node=n_c41cbbca6de0 value=TRUE\nt=0013 ADD_EDGE edge_id=e_a2e470cdff3b source=n_c41cbbca6de0 edge_type=refutes target=n_ced84e083d18\nt=0014 ADD_EDGE edge_id=e_223316f2de66 source=n_c41cbbca6de0 edge_type=supports target=n_ab3eecb7c4e1\nt=0015 ADD_EDGE edge_id=e_cfc88bb99ea6 source=n_ced84e083d18 edge_type=supports target=n_47180caf0e99\nt=0016 ADD_EDGE edge_id=e_96dfa97db8eb source=n_5fed9f7d9aa9 edge_type=refutes target=n_79b71ac1c623\nt=0017 ADD_EDGE edge_id=e_92e8446e90d9 source=n_79b71ac1c623 edge_type=refutes target=n_35f831d1e7a6\nt=0018 ADD_EDGE edge_id=e_7b5ebc8b92a5 source=n_79b71ac1c623 edge_type=refutes target=n_0ba75c294e5f\nt=0019 ADD_EDGE edge_id=e_a19787704958 source=n_5fed9f7d9aa9 edge_type=supports target=n_736beb342357\nt=0020 ADD_EDGE edge_id=e_11c41dbd6aa1 source=n_c41cbbca6de0 edge_type=supports target=n_0823a486c7f2\nt=0021 ADD_EDGE edge_id=e_e62bc17eea14 source=n_c41cbbca6de0 edge_type=refutes target=n_5fb506f0e67d\nt=0022 ADD_EDGE edge_id=e_70332a646f0d source=n_79b71ac1c623 edge_type=supports target=n_2ec9fc13f651\nt=0023 QUERY source=n_c41cbbca6de0 target=n_ced84e083d18\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1149,"provenance":{"base_record_id":"train-d01-013","dataset":"livegraph-deterministic-parity-v3","depth":1,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d01-013","split":"train","variant":"clean"},"record_seed":907031803869635087,"render_sha256":"a6dbbc2e22205c0137f3b3457cb0f95605f1cb7bc4bdb366dd943d68f25b6e7e","representation":"linear_trace","semantic_sha256":"04cca013cb3660990f153f43512f0becd4faa5c250f7c255a4bd6989d164faa1"}
{"char_count":2304,"item_id":"train-d01-014::linear_trace","label":"TRUE","lexical_token_proxy_count":400,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_cb5ebec53a94 node_type=claim\nt=0001 CREATE_NODE id=n_cf6a6f449e9b node_type=claim\nt=0002 CREATE_NODE id=n_9f0e72998e69 node_type=claim\nt=0003 CREATE_NODE id=n_b70a3ee4834e node_type=claim\nt=0004 CREATE_NODE id=n_ff0ca258a760 node_type=claim\nt=0005 CREATE_NODE id=n_f2e187235e28 node_type=claim\nt=0006 CREATE_NODE id=n_47f4083e3d9f node_type=claim\nt=0007 CREATE_NODE id=n_4bd32d696ffa node_type=claim\nt=0008 CREATE_NODE id=n_2ac51181b88f node_type=claim\nt=0009 CREATE_NODE id=n_3527d636f747 node_type=claim\nt=0010 CREATE_NODE id=n_69f6f92babf5 node_type=claim\nt=0011 CREATE_NODE id=n_478066260daf node_type=claim\nt=0012 ASSERT_ROOT node=n_cf6a6f449e9b value=FALSE\nt=0013 ADD_EDGE edge_id=e_1bacd37387b1 source=n_478066260daf edge_type=supports target=n_b70a3ee4834e\nt=0014 ADD_EDGE edge_id=e_2ef924ffa919 source=n_ff0ca258a760 edge_type=refutes target=n_4bd32d696ffa\nt=0015 ADD_EDGE edge_id=e_00115ea8eb7e source=n_cf6a6f449e9b edge_type=refutes target=n_cb5ebec53a94\nt=0016 ADD_EDGE edge_id=e_b97ff150efd8 source=n_9f0e72998e69 edge_type=refutes target=n_478066260daf\nt=0017 ADD_EDGE edge_id=e_b5e741d18b9c source=n_ff0ca258a760 edge_type=supports target=n_9f0e72998e69\nt=0018 ADD_EDGE edge_id=e_2878411ee181 source=n_cf6a6f449e9b edge_type=refutes target=n_47f4083e3d9f\nt=0019 ADD_EDGE edge_id=e_c530893e9b14 source=n_478066260daf edge_type=supports target=n_2ac51181b88f\nt=0020 ADD_EDGE edge_id=e_6b5aec0e2768 source=n_cf6a6f449e9b edge_type=refutes target=n_69f6f92babf5\nt=0021 ADD_EDGE edge_id=e_0e9a9ed977aa source=n_cb5ebec53a94 edge_type=supports target=n_3527d636f747\nt=0022 ADD_EDGE edge_id=e_e2535da21b1b source=n_cf6a6f449e9b edge_type=supports target=n_f2e187235e28\nt=0023 QUERY source=n_cf6a6f449e9b target=n_cb5ebec53a94\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1165,"provenance":{"base_record_id":"train-d01-014","dataset":"livegraph-deterministic-parity-v3","depth":1,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d01-014","split":"train","variant":"clean"},"record_seed":1095024143965835699,"render_sha256":"637c9b37613533df8e333f7c50df41a3a0adb9de2f34dc22c88b07e7932009bd","representation":"linear_trace","semantic_sha256":"a6f002b3bb3329992a3e3297da72e1230770942340752f9161d47f02c10e534b"}
{"char_count":2304,"item_id":"train-d01-015::linear_trace","label":"FALSE","lexical_token_proxy_count":400,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_3b9b1e75b8d0 node_type=claim\nt=0001 CREATE_NODE id=n_fb46c413fb77 node_type=claim\nt=0002 CREATE_NODE id=n_2a0b2fe8ae0b node_type=claim\nt=0003 CREATE_NODE id=n_9ceec6f7b57d node_type=claim\nt=0004 CREATE_NODE id=n_e8c7b9c1c9e8 node_type=claim\nt=0005 CREATE_NODE id=n_fea6be6b69ee node_type=claim\nt=0006 CREATE_NODE id=n_2b2b25c33823 node_type=claim\nt=0007 CREATE_NODE id=n_040dede12eff node_type=claim\nt=0008 CREATE_NODE id=n_7570562f1d93 node_type=claim\nt=0009 CREATE_NODE id=n_a7dbefc39834 node_type=claim\nt=0010 CREATE_NODE id=n_7b0cc92ec887 node_type=claim\nt=0011 CREATE_NODE id=n_5b2da97fddb0 node_type=claim\nt=0012 ASSERT_ROOT node=n_fea6be6b69ee value=FALSE\nt=0013 ADD_EDGE edge_id=e_31274a58194f source=n_fea6be6b69ee edge_type=refutes target=n_7570562f1d93\nt=0014 ADD_EDGE edge_id=e_dda47f741998 source=n_040dede12eff edge_type=refutes target=n_3b9b1e75b8d0\nt=0015 ADD_EDGE edge_id=e_bfeb3f854fdd source=n_2a0b2fe8ae0b edge_type=refutes target=n_e8c7b9c1c9e8\nt=0016 ADD_EDGE edge_id=e_cb73a87898be source=n_e8c7b9c1c9e8 edge_type=refutes target=n_9ceec6f7b57d\nt=0017 ADD_EDGE edge_id=e_b1017460dbf1 source=n_fb46c413fb77 edge_type=supports target=n_a7dbefc39834\nt=0018 ADD_EDGE edge_id=e_9fe8f0ad5e8e source=n_2a0b2fe8ae0b edge_type=supports target=n_5b2da97fddb0\nt=0019 ADD_EDGE edge_id=e_b602e45e5a7a source=n_fea6be6b69ee edge_type=supports target=n_2b2b25c33823\nt=0020 ADD_EDGE edge_id=e_cd277ba4feba source=n_fea6be6b69ee edge_type=supports target=n_fb46c413fb77\nt=0021 ADD_EDGE edge_id=e_01e1dafa1349 source=n_e8c7b9c1c9e8 edge_type=supports target=n_040dede12eff\nt=0022 ADD_EDGE edge_id=e_beb32d70a681 source=n_fb46c413fb77 edge_type=refutes target=n_7b0cc92ec887\nt=0023 QUERY source=n_fea6be6b69ee target=n_fb46c413fb77\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1141,"provenance":{"base_record_id":"train-d01-015","dataset":"livegraph-deterministic-parity-v3","depth":1,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d01-015","split":"train","variant":"clean"},"record_seed":817224105337048649,"render_sha256":"381a886f501ea27de7a86cca908f9db92f0f444828f090c604cb3b2056e69578","representation":"linear_trace","semantic_sha256":"4fda277af1d2d87a7de219fd8df28bfdcaeb42534e7b86bfeef35212553facaf"}
{"char_count":2303,"item_id":"train-d01-016::linear_trace","label":"TRUE","lexical_token_proxy_count":400,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_624eaddd6a0b node_type=claim\nt=0001 CREATE_NODE id=n_d13a67381c7a node_type=claim\nt=0002 CREATE_NODE id=n_3f56689b5569 node_type=claim\nt=0003 CREATE_NODE id=n_63cb0d6c2c01 node_type=claim\nt=0004 CREATE_NODE id=n_9a3ec1862b00 node_type=claim\nt=0005 CREATE_NODE id=n_6624467449b8 node_type=claim\nt=0006 CREATE_NODE id=n_3de23656bbca node_type=claim\nt=0007 CREATE_NODE id=n_7e3c636c2503 node_type=claim\nt=0008 CREATE_NODE id=n_ee8f8603816a node_type=claim\nt=0009 CREATE_NODE id=n_903fc296498a node_type=claim\nt=0010 CREATE_NODE id=n_35ce66b9fa74 node_type=claim\nt=0011 CREATE_NODE id=n_48138c6a4970 node_type=claim\nt=0012 ASSERT_ROOT node=n_903fc296498a value=TRUE\nt=0013 ADD_EDGE edge_id=e_168eb06433af source=n_35ce66b9fa74 edge_type=supports target=n_9a3ec1862b00\nt=0014 ADD_EDGE edge_id=e_b25e4beec2df source=n_63cb0d6c2c01 edge_type=supports target=n_3de23656bbca\nt=0015 ADD_EDGE edge_id=e_ac0931123db6 source=n_903fc296498a edge_type=supports target=n_63cb0d6c2c01\nt=0016 ADD_EDGE edge_id=e_1576dc7d70b5 source=n_63cb0d6c2c01 edge_type=supports target=n_ee8f8603816a\nt=0017 ADD_EDGE edge_id=e_3a5f06ee29f0 source=n_624eaddd6a0b edge_type=refutes target=n_3f56689b5569\nt=0018 ADD_EDGE edge_id=e_afb67035bc3e source=n_624eaddd6a0b edge_type=refutes target=n_6624467449b8\nt=0019 ADD_EDGE edge_id=e_2f69e47cd722 source=n_d13a67381c7a edge_type=refutes target=n_624eaddd6a0b\nt=0020 ADD_EDGE edge_id=e_4ebd51c34b3b source=n_63cb0d6c2c01 edge_type=refutes target=n_48138c6a4970\nt=0021 ADD_EDGE edge_id=e_88e2e612a3bb source=n_d13a67381c7a edge_type=refutes target=n_35ce66b9fa74\nt=0022 ADD_EDGE edge_id=e_443f236368d8 source=n_63cb0d6c2c01 edge_type=supports target=n_7e3c636c2503\nt=0023 QUERY source=n_903fc296498a target=n_63cb0d6c2c01\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1177,"provenance":{"base_record_id":"train-d01-016","dataset":"livegraph-deterministic-parity-v3","depth":1,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d01-016","split":"train","variant":"clean"},"record_seed":340356822200710992,"render_sha256":"c7fbdda0bfc6ce1d7c62fab3cd47ccd6844ed35aeb7fc119a79e333848e0e3d8","representation":"linear_trace","semantic_sha256":"a3b5167d929ce98d3e7490fe406a6285a7cb6a99b03c0cae99f9195230ffca19"}
{"char_count":2303,"item_id":"train-d01-017::linear_trace","label":"FALSE","lexical_token_proxy_count":400,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_ae97981a6d91 node_type=claim\nt=0001 CREATE_NODE id=n_11416d38ac4a node_type=claim\nt=0002 CREATE_NODE id=n_e09b1d1415d9 node_type=claim\nt=0003 CREATE_NODE id=n_5ef09ca622b1 node_type=claim\nt=0004 CREATE_NODE id=n_c118175b5e79 node_type=claim\nt=0005 CREATE_NODE id=n_fc837cb647d8 node_type=claim\nt=0006 CREATE_NODE id=n_875a983683ac node_type=claim\nt=0007 CREATE_NODE id=n_956ad8f36156 node_type=claim\nt=0008 CREATE_NODE id=n_dff01fd87af7 node_type=claim\nt=0009 CREATE_NODE id=n_7f05c85fd53f node_type=claim\nt=0010 CREATE_NODE id=n_02bcd902b0be node_type=claim\nt=0011 CREATE_NODE id=n_a73fd170d1b5 node_type=claim\nt=0012 ASSERT_ROOT node=n_02bcd902b0be value=TRUE\nt=0013 ADD_EDGE edge_id=e_11c27bd9b1dd source=n_02bcd902b0be edge_type=refutes target=n_a73fd170d1b5\nt=0014 ADD_EDGE edge_id=e_0c887a3f77d7 source=n_02bcd902b0be edge_type=supports target=n_875a983683ac\nt=0015 ADD_EDGE edge_id=e_fb6f87cfd6c1 source=n_02bcd902b0be edge_type=refutes target=n_7f05c85fd53f\nt=0016 ADD_EDGE edge_id=e_e1c86734f0d2 source=n_e09b1d1415d9 edge_type=supports target=n_11416d38ac4a\nt=0017 ADD_EDGE edge_id=e_5d216a132084 source=n_dff01fd87af7 edge_type=refutes target=n_5ef09ca622b1\nt=0018 ADD_EDGE edge_id=e_088e274b6439 source=n_02bcd902b0be edge_type=refutes target=n_956ad8f36156\nt=0019 ADD_EDGE edge_id=e_549a2ab8e51f source=n_a73fd170d1b5 edge_type=refutes target=n_fc837cb647d8\nt=0020 ADD_EDGE edge_id=e_2ccf0dcc175a source=n_5ef09ca622b1 edge_type=supports target=n_c118175b5e79\nt=0021 ADD_EDGE edge_id=e_98d97ceb1487 source=n_dff01fd87af7 edge_type=supports target=n_ae97981a6d91\nt=0022 ADD_EDGE edge_id=e_a51a8cf1b89f source=n_dff01fd87af7 edge_type=supports target=n_e09b1d1415d9\nt=0023 QUERY source=n_02bcd902b0be target=n_a73fd170d1b5\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1161,"provenance":{"base_record_id":"train-d01-017","dataset":"livegraph-deterministic-parity-v3","depth":1,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d01-017","split":"train","variant":"clean"},"record_seed":827412009057866603,"render_sha256":"622cb3743e454dafaaf96ae4ee781ba68294f32e13d5c4c0c8895794b987371a","representation":"linear_trace","semantic_sha256":"c3aaa434bcb84532d12dd4d0c63faf044c3323a5bb1d767961876bf7ff76641a"}
{"char_count":2304,"item_id":"train-d01-018::linear_trace","label":"TRUE","lexical_token_proxy_count":400,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_e8c81fa7a525 node_type=claim\nt=0001 CREATE_NODE id=n_6133392b236a node_type=claim\nt=0002 CREATE_NODE id=n_43061b59be02 node_type=claim\nt=0003 CREATE_NODE id=n_78b9d90dbe59 node_type=claim\nt=0004 CREATE_NODE id=n_b3408af53c77 node_type=claim\nt=0005 CREATE_NODE id=n_5b8d664ae5ce node_type=claim\nt=0006 CREATE_NODE id=n_a9f28b7aab2c node_type=claim\nt=0007 CREATE_NODE id=n_4b8a93416fd5 node_type=claim\nt=0008 CREATE_NODE id=n_6dcf71dca350 node_type=claim\nt=0009 CREATE_NODE id=n_3028f78073a6 node_type=claim\nt=0010 CREATE_NODE id=n_26e19fbfdc66 node_type=claim\nt=0011 CREATE_NODE id=n_b6c1313e8e9c node_type=claim\nt=0012 ASSERT_ROOT node=n_26e19fbfdc66 value=FALSE\nt=0013 ADD_EDGE edge_id=e_f246e225cbde source=n_6dcf71dca350 edge_type=supports target=n_b3408af53c77\nt=0014 ADD_EDGE edge_id=e_c70c982ae632 source=n_e8c81fa7a525 edge_type=supports target=n_6133392b236a\nt=0015 ADD_EDGE edge_id=e_93cff040e070 source=n_26e19fbfdc66 edge_type=refutes target=n_5b8d664ae5ce\nt=0016 ADD_EDGE edge_id=e_78f0d5ec7f09 source=n_4b8a93416fd5 edge_type=refutes target=n_e8c81fa7a525\nt=0017 ADD_EDGE edge_id=e_579f09ec7128 source=n_43061b59be02 edge_type=refutes target=n_4b8a93416fd5\nt=0018 ADD_EDGE edge_id=e_1f2a35fd91a6 source=n_43061b59be02 edge_type=supports target=n_a9f28b7aab2c\nt=0019 ADD_EDGE edge_id=e_1a5f9a7b4434 source=n_6dcf71dca350 edge_type=supports target=n_78b9d90dbe59\nt=0020 ADD_EDGE edge_id=e_ac2edd7c4d09 source=n_43061b59be02 edge_type=supports target=n_b6c1313e8e9c\nt=0021 ADD_EDGE edge_id=e_41fc68157c54 source=n_26e19fbfdc66 edge_type=refutes target=n_3028f78073a6\nt=0022 ADD_EDGE edge_id=e_47588560e000 source=n_26e19fbfdc66 edge_type=refutes target=n_6dcf71dca350\nt=0023 QUERY source=n_26e19fbfdc66 target=n_6dcf71dca350\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1174,"provenance":{"base_record_id":"train-d01-018","dataset":"livegraph-deterministic-parity-v3","depth":1,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d01-018","split":"train","variant":"clean"},"record_seed":347554663622805476,"render_sha256":"a460877b29936a79ce7763db7f49c1138299f38af9e186881c3acefd17070ed0","representation":"linear_trace","semantic_sha256":"33961be57d79fb86dcd122c0544ae6acee64d5b617acd80e81f6ab6d51a31612"}
{"char_count":2304,"item_id":"train-d01-019::linear_trace","label":"FALSE","lexical_token_proxy_count":400,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_8d934253385e node_type=claim\nt=0001 CREATE_NODE id=n_cb28d10f35e7 node_type=claim\nt=0002 CREATE_NODE id=n_7e2287fd039b node_type=claim\nt=0003 CREATE_NODE id=n_57c9e72aff44 node_type=claim\nt=0004 CREATE_NODE id=n_fbd42641a755 node_type=claim\nt=0005 CREATE_NODE id=n_6f560e9a8ec8 node_type=claim\nt=0006 CREATE_NODE id=n_86bc6375c60d node_type=claim\nt=0007 CREATE_NODE id=n_45df97ed2abc node_type=claim\nt=0008 CREATE_NODE id=n_069a31d53693 node_type=claim\nt=0009 CREATE_NODE id=n_d988d30958ed node_type=claim\nt=0010 CREATE_NODE id=n_f61f1c53f0df node_type=claim\nt=0011 CREATE_NODE id=n_991469f51f57 node_type=claim\nt=0012 ASSERT_ROOT node=n_8d934253385e value=FALSE\nt=0013 ADD_EDGE edge_id=e_ab0e8dc0477d source=n_45df97ed2abc edge_type=supports target=n_f61f1c53f0df\nt=0014 ADD_EDGE edge_id=e_4c14b523b5e6 source=n_45df97ed2abc edge_type=supports target=n_cb28d10f35e7\nt=0015 ADD_EDGE edge_id=e_57c3851ea570 source=n_57c9e72aff44 edge_type=refutes target=n_991469f51f57\nt=0016 ADD_EDGE edge_id=e_b15e0ff16b08 source=n_45df97ed2abc edge_type=refutes target=n_57c9e72aff44\nt=0017 ADD_EDGE edge_id=e_4002620eb9ca source=n_86bc6375c60d edge_type=refutes target=n_6f560e9a8ec8\nt=0018 ADD_EDGE edge_id=e_85f814fba88e source=n_8d934253385e edge_type=supports target=n_86bc6375c60d\nt=0019 ADD_EDGE edge_id=e_a5357edd7b4d source=n_45df97ed2abc edge_type=supports target=n_069a31d53693\nt=0020 ADD_EDGE edge_id=e_095fb24cd67b source=n_8d934253385e edge_type=refutes target=n_7e2287fd039b\nt=0021 ADD_EDGE edge_id=e_faff12c26705 source=n_86bc6375c60d edge_type=refutes target=n_fbd42641a755\nt=0022 ADD_EDGE edge_id=e_3167df82efc7 source=n_86bc6375c60d edge_type=supports target=n_d988d30958ed\nt=0023 QUERY source=n_8d934253385e target=n_86bc6375c60d\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1168,"provenance":{"base_record_id":"train-d01-019","dataset":"livegraph-deterministic-parity-v3","depth":1,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d01-019","split":"train","variant":"clean"},"record_seed":1086482512008353589,"render_sha256":"32c7675875d37a602e22ef69533891567b1f70d874553d8c4051aab883c1796e","representation":"linear_trace","semantic_sha256":"2274aaa4a623b566a26c86393ef239a0821aa46a7024b52ed3fca3dd69fd08a5"}
{"char_count":2303,"item_id":"train-d01-020::linear_trace","label":"TRUE","lexical_token_proxy_count":400,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_b3cc35be1b5a node_type=claim\nt=0001 CREATE_NODE id=n_5470520d288d node_type=claim\nt=0002 CREATE_NODE id=n_a5af15b41adf node_type=claim\nt=0003 CREATE_NODE id=n_0f91d0890629 node_type=claim\nt=0004 CREATE_NODE id=n_ea0650f7b50b node_type=claim\nt=0005 CREATE_NODE id=n_8681b905aa48 node_type=claim\nt=0006 CREATE_NODE id=n_17458dbdb2b2 node_type=claim\nt=0007 CREATE_NODE id=n_babbb6d249e0 node_type=claim\nt=0008 CREATE_NODE id=n_ee4e254e6520 node_type=claim\nt=0009 CREATE_NODE id=n_9e55380722a1 node_type=claim\nt=0010 CREATE_NODE id=n_234c83c3e0c5 node_type=claim\nt=0011 CREATE_NODE id=n_c5ddfb059b07 node_type=claim\nt=0012 ASSERT_ROOT node=n_17458dbdb2b2 value=TRUE\nt=0013 ADD_EDGE edge_id=e_7317b603b43a source=n_234c83c3e0c5 edge_type=refutes target=n_a5af15b41adf\nt=0014 ADD_EDGE edge_id=e_22fab489fbae source=n_234c83c3e0c5 edge_type=refutes target=n_ee4e254e6520\nt=0015 ADD_EDGE edge_id=e_6e558b4b89ab source=n_9e55380722a1 edge_type=supports target=n_babbb6d249e0\nt=0016 ADD_EDGE edge_id=e_da8626bd6193 source=n_c5ddfb059b07 edge_type=refutes target=n_0f91d0890629\nt=0017 ADD_EDGE edge_id=e_16d4330c0eea source=n_ee4e254e6520 edge_type=supports target=n_9e55380722a1\nt=0018 ADD_EDGE edge_id=e_f1e57148923a source=n_17458dbdb2b2 edge_type=supports target=n_c5ddfb059b07\nt=0019 ADD_EDGE edge_id=e_1780320a3ec3 source=n_17458dbdb2b2 edge_type=supports target=n_ea0650f7b50b\nt=0020 ADD_EDGE edge_id=e_14cf1a8e0512 source=n_c5ddfb059b07 edge_type=refutes target=n_5470520d288d\nt=0021 ADD_EDGE edge_id=e_2f2cc81ebc57 source=n_17458dbdb2b2 edge_type=supports target=n_8681b905aa48\nt=0022 ADD_EDGE edge_id=e_631f7a5c6905 source=n_a5af15b41adf edge_type=refutes target=n_b3cc35be1b5a\nt=0023 QUERY source=n_17458dbdb2b2 target=n_c5ddfb059b07\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1168,"provenance":{"base_record_id":"train-d01-020","dataset":"livegraph-deterministic-parity-v3","depth":1,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d01-020","split":"train","variant":"clean"},"record_seed":186723661254235665,"render_sha256":"435f7ba0c92d0555028929f90d91a8a9e05737583dbffd754817593c9d0d8ce0","representation":"linear_trace","semantic_sha256":"813d6e5fe1e11ceb001030b742ebb75e665524ce59f458a9b755c86cb74c7630"}
{"char_count":2303,"item_id":"train-d01-021::linear_trace","label":"FALSE","lexical_token_proxy_count":400,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_32f3f5f6fb88 node_type=claim\nt=0001 CREATE_NODE id=n_9f1a673cc326 node_type=claim\nt=0002 CREATE_NODE id=n_763b344640c5 node_type=claim\nt=0003 CREATE_NODE id=n_8f545e509329 node_type=claim\nt=0004 CREATE_NODE id=n_ec938293c1ca node_type=claim\nt=0005 CREATE_NODE id=n_3460f64bac99 node_type=claim\nt=0006 CREATE_NODE id=n_a56cd3a9320c node_type=claim\nt=0007 CREATE_NODE id=n_2a59ca2b1986 node_type=claim\nt=0008 CREATE_NODE id=n_556f9b5ddccc node_type=claim\nt=0009 CREATE_NODE id=n_62064ca91d26 node_type=claim\nt=0010 CREATE_NODE id=n_4829d5d43580 node_type=claim\nt=0011 CREATE_NODE id=n_e804e9265878 node_type=claim\nt=0012 ASSERT_ROOT node=n_ec938293c1ca value=TRUE\nt=0013 ADD_EDGE edge_id=e_97c1558a0020 source=n_a56cd3a9320c edge_type=refutes target=n_763b344640c5\nt=0014 ADD_EDGE edge_id=e_5ff22191209b source=n_a56cd3a9320c edge_type=refutes target=n_556f9b5ddccc\nt=0015 ADD_EDGE edge_id=e_da4efd2620de source=n_ec938293c1ca edge_type=supports target=n_3460f64bac99\nt=0016 ADD_EDGE edge_id=e_816bcbeaf174 source=n_ec938293c1ca edge_type=refutes target=n_32f3f5f6fb88\nt=0017 ADD_EDGE edge_id=e_926df606667c source=n_a56cd3a9320c edge_type=refutes target=n_8f545e509329\nt=0018 ADD_EDGE edge_id=e_3a63a19b37f6 source=n_32f3f5f6fb88 edge_type=refutes target=n_2a59ca2b1986\nt=0019 ADD_EDGE edge_id=e_59bf85794c29 source=n_32f3f5f6fb88 edge_type=supports target=n_62064ca91d26\nt=0020 ADD_EDGE edge_id=e_567ace39e086 source=n_8f545e509329 edge_type=supports target=n_e804e9265878\nt=0021 ADD_EDGE edge_id=e_4642e6741ba6 source=n_8f545e509329 edge_type=supports target=n_9f1a673cc326\nt=0022 ADD_EDGE edge_id=e_ac077b9dff8e source=n_ec938293c1ca edge_type=supports target=n_4829d5d43580\nt=0023 QUERY source=n_ec938293c1ca target=n_32f3f5f6fb88\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1176,"provenance":{"base_record_id":"train-d01-021","dataset":"livegraph-deterministic-parity-v3","depth":1,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d01-021","split":"train","variant":"clean"},"record_seed":439741598277779898,"render_sha256":"78a4d7be8e4ec70fdbb500f1f85530559a8b3edb435451719fa0e9b409e0e2ee","representation":"linear_trace","semantic_sha256":"92ee1f53f5ef07da5cea178bd401ce2d44ec8f729ef025b06e9efc67ef9bf92b"}
{"char_count":2304,"item_id":"train-d01-022::linear_trace","label":"TRUE","lexical_token_proxy_count":400,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_497a51c21ee8 node_type=claim\nt=0001 CREATE_NODE id=n_8c7c6c243276 node_type=claim\nt=0002 CREATE_NODE id=n_a9998cda5ff7 node_type=claim\nt=0003 CREATE_NODE id=n_3061e0989c2b node_type=claim\nt=0004 CREATE_NODE id=n_2fe00b88ebda node_type=claim\nt=0005 CREATE_NODE id=n_336236f7d8e8 node_type=claim\nt=0006 CREATE_NODE id=n_bc3da5514963 node_type=claim\nt=0007 CREATE_NODE id=n_40b4d88192c7 node_type=claim\nt=0008 CREATE_NODE id=n_78dbbc6353fe node_type=claim\nt=0009 CREATE_NODE id=n_a5e16989c0e5 node_type=claim\nt=0010 CREATE_NODE id=n_b2f02cdf1ebd node_type=claim\nt=0011 CREATE_NODE id=n_2946d42436e6 node_type=claim\nt=0012 ASSERT_ROOT node=n_2fe00b88ebda value=FALSE\nt=0013 ADD_EDGE edge_id=e_2e8879f6364e source=n_b2f02cdf1ebd edge_type=supports target=n_497a51c21ee8\nt=0014 ADD_EDGE edge_id=e_d1bdadbc20e1 source=n_a5e16989c0e5 edge_type=refutes target=n_a9998cda5ff7\nt=0015 ADD_EDGE edge_id=e_985cdba25c12 source=n_78dbbc6353fe edge_type=refutes target=n_40b4d88192c7\nt=0016 ADD_EDGE edge_id=e_39f9cbd280ba source=n_2fe00b88ebda edge_type=supports target=n_8c7c6c243276\nt=0017 ADD_EDGE edge_id=e_c840112e7abc source=n_a5e16989c0e5 edge_type=refutes target=n_b2f02cdf1ebd\nt=0018 ADD_EDGE edge_id=e_a0e185316bab source=n_b2f02cdf1ebd edge_type=supports target=n_bc3da5514963\nt=0019 ADD_EDGE edge_id=e_2816dd8ecc0e source=n_78dbbc6353fe edge_type=supports target=n_2946d42436e6\nt=0020 ADD_EDGE edge_id=e_58eea1739dbd source=n_a5e16989c0e5 edge_type=supports target=n_336236f7d8e8\nt=0021 ADD_EDGE edge_id=e_467a09072cf6 source=n_2fe00b88ebda edge_type=refutes target=n_3061e0989c2b\nt=0022 ADD_EDGE edge_id=e_83d1ba596a04 source=n_2fe00b88ebda edge_type=refutes target=n_78dbbc6353fe\nt=0023 QUERY source=n_2fe00b88ebda target=n_78dbbc6353fe\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1148,"provenance":{"base_record_id":"train-d01-022","dataset":"livegraph-deterministic-parity-v3","depth":1,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d01-022","split":"train","variant":"clean"},"record_seed":187946509953063872,"render_sha256":"6bc5ac59e72e842c01a17211c6ddf46b35be0cb36719642cd7a3ca026a520c29","representation":"linear_trace","semantic_sha256":"5d9f8551c0077d07e9673853a36bfbdd04e849609f175d982b7a6fb9ec8fc0af"}
{"char_count":2304,"item_id":"train-d01-023::linear_trace","label":"FALSE","lexical_token_proxy_count":400,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_d6989e994975 node_type=claim\nt=0001 CREATE_NODE id=n_9eaa96059707 node_type=claim\nt=0002 CREATE_NODE id=n_272113f5227a node_type=claim\nt=0003 CREATE_NODE id=n_93f8d753922e node_type=claim\nt=0004 CREATE_NODE id=n_195545df46f2 node_type=claim\nt=0005 CREATE_NODE id=n_52ace3d8a6d6 node_type=claim\nt=0006 CREATE_NODE id=n_58ea7cba55a1 node_type=claim\nt=0007 CREATE_NODE id=n_49e6b0b352d8 node_type=claim\nt=0008 CREATE_NODE id=n_0adc1ec20991 node_type=claim\nt=0009 CREATE_NODE id=n_dc799fc6ef07 node_type=claim\nt=0010 CREATE_NODE id=n_2529e2cd9bbf node_type=claim\nt=0011 CREATE_NODE id=n_a2ece5763cbe node_type=claim\nt=0012 ASSERT_ROOT node=n_0adc1ec20991 value=FALSE\nt=0013 ADD_EDGE edge_id=e_681cdc5ab5a2 source=n_0adc1ec20991 edge_type=refutes target=n_52ace3d8a6d6\nt=0014 ADD_EDGE edge_id=e_89085d8e8dcc source=n_0adc1ec20991 edge_type=supports target=n_58ea7cba55a1\nt=0015 ADD_EDGE edge_id=e_8143d79044b8 source=n_dc799fc6ef07 edge_type=supports target=n_272113f5227a\nt=0016 ADD_EDGE edge_id=e_f53db0bc3e81 source=n_dc799fc6ef07 edge_type=refutes target=n_9eaa96059707\nt=0017 ADD_EDGE edge_id=e_57807a43bbfc source=n_0adc1ec20991 edge_type=refutes target=n_93f8d753922e\nt=0018 ADD_EDGE edge_id=e_e917fdf86014 source=n_dc799fc6ef07 edge_type=refutes target=n_195545df46f2\nt=0019 ADD_EDGE edge_id=e_db4fa3283028 source=n_0adc1ec20991 edge_type=supports target=n_a2ece5763cbe\nt=0020 ADD_EDGE edge_id=e_4f3566cb2136 source=n_272113f5227a edge_type=refutes target=n_d6989e994975\nt=0021 ADD_EDGE edge_id=e_094c32ed1624 source=n_d6989e994975 edge_type=supports target=n_49e6b0b352d8\nt=0022 ADD_EDGE edge_id=e_296cacb2f146 source=n_0adc1ec20991 edge_type=supports target=n_2529e2cd9bbf\nt=0023 QUERY source=n_0adc1ec20991 target=n_2529e2cd9bbf\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1150,"provenance":{"base_record_id":"train-d01-023","dataset":"livegraph-deterministic-parity-v3","depth":1,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d01-023","split":"train","variant":"clean"},"record_seed":256612917994201474,"render_sha256":"f2fec2eb9797ef9f66495400f6aab71b147c571d08899d52691161735c990744","representation":"linear_trace","semantic_sha256":"315f27525f4537a0f32c9141ac0dcf31aa66d04cbc51b0191d8b0afeeb847c41"}
{"char_count":2303,"item_id":"train-d01-024::linear_trace","label":"TRUE","lexical_token_proxy_count":400,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_9c5e81ee0e9b node_type=claim\nt=0001 CREATE_NODE id=n_6bffa6edc3a2 node_type=claim\nt=0002 CREATE_NODE id=n_16ce09490cf3 node_type=claim\nt=0003 CREATE_NODE id=n_c00b2176416f node_type=claim\nt=0004 CREATE_NODE id=n_4f27578a402f node_type=claim\nt=0005 CREATE_NODE id=n_cb2a9f6a56a7 node_type=claim\nt=0006 CREATE_NODE id=n_3ca77922edf3 node_type=claim\nt=0007 CREATE_NODE id=n_5ff7350a1bfa node_type=claim\nt=0008 CREATE_NODE id=n_2f30f56434ef node_type=claim\nt=0009 CREATE_NODE id=n_859799ed77f2 node_type=claim\nt=0010 CREATE_NODE id=n_0e2836a23ad2 node_type=claim\nt=0011 CREATE_NODE id=n_36ad99738958 node_type=claim\nt=0012 ASSERT_ROOT node=n_16ce09490cf3 value=TRUE\nt=0013 ADD_EDGE edge_id=e_1bab3d40cdd6 source=n_3ca77922edf3 edge_type=refutes target=n_9c5e81ee0e9b\nt=0014 ADD_EDGE edge_id=e_6611a89acba0 source=n_16ce09490cf3 edge_type=supports target=n_36ad99738958\nt=0015 ADD_EDGE edge_id=e_41d86e4991bc source=n_cb2a9f6a56a7 edge_type=refutes target=n_2f30f56434ef\nt=0016 ADD_EDGE edge_id=e_26406bae9f38 source=n_cb2a9f6a56a7 edge_type=refutes target=n_6bffa6edc3a2\nt=0017 ADD_EDGE edge_id=e_cce9b2c761e2 source=n_36ad99738958 edge_type=supports target=n_859799ed77f2\nt=0018 ADD_EDGE edge_id=e_9ad9ff766700 source=n_3ca77922edf3 edge_type=supports target=n_4f27578a402f\nt=0019 ADD_EDGE edge_id=e_a8fa1e59d014 source=n_16ce09490cf3 edge_type=refutes target=n_c00b2176416f\nt=0020 ADD_EDGE edge_id=e_495bf228118f source=n_36ad99738958 edge_type=supports target=n_5ff7350a1bfa\nt=0021 ADD_EDGE edge_id=e_63679364cf15 source=n_16ce09490cf3 edge_type=refutes target=n_0e2836a23ad2\nt=0022 ADD_EDGE edge_id=e_ce6fb4381484 source=n_cb2a9f6a56a7 edge_type=supports target=n_3ca77922edf3\nt=0023 QUERY source=n_16ce09490cf3 target=n_36ad99738958\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1160,"provenance":{"base_record_id":"train-d01-024","dataset":"livegraph-deterministic-parity-v3","depth":1,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d01-024","split":"train","variant":"clean"},"record_seed":116765466198695501,"render_sha256":"038ed67faa806700197073c2cbdaad6f07f248208d7542fb346dcaed940a789a","representation":"linear_trace","semantic_sha256":"80c8cd1e81ea11e2bb3797177d3ed37a0614f0e62289e30977f5f96a13249f38"}
{"char_count":2303,"item_id":"train-d01-025::linear_trace","label":"FALSE","lexical_token_proxy_count":400,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_23c4b7e4846e node_type=claim\nt=0001 CREATE_NODE id=n_c43c48e29c71 node_type=claim\nt=0002 CREATE_NODE id=n_1da35ca42c9c node_type=claim\nt=0003 CREATE_NODE id=n_bb537b122b70 node_type=claim\nt=0004 CREATE_NODE id=n_c8fa3f32c020 node_type=claim\nt=0005 CREATE_NODE id=n_25af3b652287 node_type=claim\nt=0006 CREATE_NODE id=n_64320ac5fe62 node_type=claim\nt=0007 CREATE_NODE id=n_67b64fcdc3c4 node_type=claim\nt=0008 CREATE_NODE id=n_61e01c1931a9 node_type=claim\nt=0009 CREATE_NODE id=n_671bff8984f7 node_type=claim\nt=0010 CREATE_NODE id=n_c13783434484 node_type=claim\nt=0011 CREATE_NODE id=n_9efb50944c23 node_type=claim\nt=0012 ASSERT_ROOT node=n_c43c48e29c71 value=TRUE\nt=0013 ADD_EDGE edge_id=e_f350c7c3da9f source=n_bb537b122b70 edge_type=refutes target=n_25af3b652287\nt=0014 ADD_EDGE edge_id=e_d5f7c89b7e1b source=n_bb537b122b70 edge_type=supports target=n_671bff8984f7\nt=0015 ADD_EDGE edge_id=e_9a84ce0d7b7c source=n_9efb50944c23 edge_type=refutes target=n_64320ac5fe62\nt=0016 ADD_EDGE edge_id=e_926cc7f1f193 source=n_9efb50944c23 edge_type=supports target=n_67b64fcdc3c4\nt=0017 ADD_EDGE edge_id=e_770d23a77c4f source=n_bb537b122b70 edge_type=supports target=n_c13783434484\nt=0018 ADD_EDGE edge_id=e_e8f1e3f8bb6b source=n_671bff8984f7 edge_type=refutes target=n_c8fa3f32c020\nt=0019 ADD_EDGE edge_id=e_0166b3abe8e9 source=n_c43c48e29c71 edge_type=refutes target=n_9efb50944c23\nt=0020 ADD_EDGE edge_id=e_2ce1b75d78df source=n_c43c48e29c71 edge_type=refutes target=n_23c4b7e4846e\nt=0021 ADD_EDGE edge_id=e_c6485ec3a16e source=n_9efb50944c23 edge_type=supports target=n_1da35ca42c9c\nt=0022 ADD_EDGE edge_id=e_d7e3ecf4a3b5 source=n_bb537b122b70 edge_type=supports target=n_61e01c1931a9\nt=0023 QUERY source=n_c43c48e29c71 target=n_9efb50944c23\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1184,"provenance":{"base_record_id":"train-d01-025","dataset":"livegraph-deterministic-parity-v3","depth":1,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d01-025","split":"train","variant":"clean"},"record_seed":730651650740698812,"render_sha256":"244f781bb62837939f30d9ec87a4da3e312c02ad7e813dbca96d511b19c74236","representation":"linear_trace","semantic_sha256":"f13c436bca9308eb2ee34ed30ffb8b2e5ef1724b1a8a6a93316cde1c93d60923"}
{"char_count":2304,"item_id":"train-d01-026::linear_trace","label":"TRUE","lexical_token_proxy_count":400,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_450a3936ab0b node_type=claim\nt=0001 CREATE_NODE id=n_7a08da20b686 node_type=claim\nt=0002 CREATE_NODE id=n_560be6f022f6 node_type=claim\nt=0003 CREATE_NODE id=n_3e98ed4dd827 node_type=claim\nt=0004 CREATE_NODE id=n_25186f6f8c45 node_type=claim\nt=0005 CREATE_NODE id=n_f5150592eff4 node_type=claim\nt=0006 CREATE_NODE id=n_1eda80226635 node_type=claim\nt=0007 CREATE_NODE id=n_18e65ea16d85 node_type=claim\nt=0008 CREATE_NODE id=n_467595d9bb34 node_type=claim\nt=0009 CREATE_NODE id=n_1fe324d9dcc9 node_type=claim\nt=0010 CREATE_NODE id=n_005727179f78 node_type=claim\nt=0011 CREATE_NODE id=n_f086ef9f6cad node_type=claim\nt=0012 ASSERT_ROOT node=n_f086ef9f6cad value=FALSE\nt=0013 ADD_EDGE edge_id=e_3fa7aed613d2 source=n_f086ef9f6cad edge_type=supports target=n_1eda80226635\nt=0014 ADD_EDGE edge_id=e_4c406c037709 source=n_7a08da20b686 edge_type=refutes target=n_560be6f022f6\nt=0015 ADD_EDGE edge_id=e_8a0a1f7585d3 source=n_18e65ea16d85 edge_type=supports target=n_1fe324d9dcc9\nt=0016 ADD_EDGE edge_id=e_9c851a7f7094 source=n_25186f6f8c45 edge_type=refutes target=n_f5150592eff4\nt=0017 ADD_EDGE edge_id=e_7935a5a9ead8 source=n_7a08da20b686 edge_type=refutes target=n_450a3936ab0b\nt=0018 ADD_EDGE edge_id=e_f0b55a011ddb source=n_18e65ea16d85 edge_type=refutes target=n_467595d9bb34\nt=0019 ADD_EDGE edge_id=e_14035e09404e source=n_25186f6f8c45 edge_type=supports target=n_005727179f78\nt=0020 ADD_EDGE edge_id=e_b74e614e6b97 source=n_7a08da20b686 edge_type=supports target=n_3e98ed4dd827\nt=0021 ADD_EDGE edge_id=e_e74d13122fa8 source=n_25186f6f8c45 edge_type=supports target=n_18e65ea16d85\nt=0022 ADD_EDGE edge_id=e_dd3c62571ac3 source=n_f086ef9f6cad edge_type=refutes target=n_7a08da20b686\nt=0023 QUERY source=n_f086ef9f6cad target=n_7a08da20b686\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1172,"provenance":{"base_record_id":"train-d01-026","dataset":"livegraph-deterministic-parity-v3","depth":1,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d01-026","split":"train","variant":"clean"},"record_seed":840604866621803583,"render_sha256":"ae71e04acbe5849eb23c54671192a4a0eabe11e0b6a5d096b11875ca3b726fa9","representation":"linear_trace","semantic_sha256":"73a61acc0a22d9ec43a6fed21a0eda28023ec7138f09527d97229ffc88098fc7"}
{"char_count":2304,"item_id":"train-d01-027::linear_trace","label":"FALSE","lexical_token_proxy_count":400,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_2f05792dc389 node_type=claim\nt=0001 CREATE_NODE id=n_c92d174599c5 node_type=claim\nt=0002 CREATE_NODE id=n_dc1108e2d2a5 node_type=claim\nt=0003 CREATE_NODE id=n_84574b1d7482 node_type=claim\nt=0004 CREATE_NODE id=n_94f12c642e08 node_type=claim\nt=0005 CREATE_NODE id=n_76d86c71e495 node_type=claim\nt=0006 CREATE_NODE id=n_1063418da10b node_type=claim\nt=0007 CREATE_NODE id=n_702282488099 node_type=claim\nt=0008 CREATE_NODE id=n_dbe20591a056 node_type=claim\nt=0009 CREATE_NODE id=n_4374bf57cc2e node_type=claim\nt=0010 CREATE_NODE id=n_e8b20e80d190 node_type=claim\nt=0011 CREATE_NODE id=n_c17be8dbbc54 node_type=claim\nt=0012 ASSERT_ROOT node=n_dc1108e2d2a5 value=FALSE\nt=0013 ADD_EDGE edge_id=e_e1d2f4023978 source=n_dc1108e2d2a5 edge_type=refutes target=n_c17be8dbbc54\nt=0014 ADD_EDGE edge_id=e_291136626343 source=n_76d86c71e495 edge_type=refutes target=n_84574b1d7482\nt=0015 ADD_EDGE edge_id=e_31f9038e5268 source=n_dc1108e2d2a5 edge_type=supports target=n_1063418da10b\nt=0016 ADD_EDGE edge_id=e_4e6c80328659 source=n_2f05792dc389 edge_type=supports target=n_702282488099\nt=0017 ADD_EDGE edge_id=e_f46992d5168e source=n_84574b1d7482 edge_type=refutes target=n_dbe20591a056\nt=0018 ADD_EDGE edge_id=e_cae616db7b5c source=n_76d86c71e495 edge_type=supports target=n_94f12c642e08\nt=0019 ADD_EDGE edge_id=e_a8e9d4a8b74c source=n_dc1108e2d2a5 edge_type=supports target=n_2f05792dc389\nt=0020 ADD_EDGE edge_id=e_34a551869f5d source=n_76d86c71e495 edge_type=supports target=n_4374bf57cc2e\nt=0021 ADD_EDGE edge_id=e_b36c6fbbcf38 source=n_94f12c642e08 edge_type=refutes target=n_e8b20e80d190\nt=0022 ADD_EDGE edge_id=e_a71e9a8cbc00 source=n_2f05792dc389 edge_type=refutes target=n_c92d174599c5\nt=0023 QUERY source=n_dc1108e2d2a5 target=n_2f05792dc389\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1196,"provenance":{"base_record_id":"train-d01-027","dataset":"livegraph-deterministic-parity-v3","depth":1,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d01-027","split":"train","variant":"clean"},"record_seed":733266646998874715,"render_sha256":"29e84148a86f8420e254b0d8a9131af36d1b02e7f5592ec300cba98b2b53f54d","representation":"linear_trace","semantic_sha256":"66cdc28e7230d7c8eebb6ad1f7acf7a50e22504bab90edd45fa5b683efbbff28"}
{"char_count":2303,"item_id":"train-d01-028::linear_trace","label":"TRUE","lexical_token_proxy_count":400,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_bafd6d73cb61 node_type=claim\nt=0001 CREATE_NODE id=n_f4fc0618d081 node_type=claim\nt=0002 CREATE_NODE id=n_63dbc1cb4853 node_type=claim\nt=0003 CREATE_NODE id=n_07a678744c9c node_type=claim\nt=0004 CREATE_NODE id=n_1b836fe9f80f node_type=claim\nt=0005 CREATE_NODE id=n_5e4401403615 node_type=claim\nt=0006 CREATE_NODE id=n_dbf46fd79e6e node_type=claim\nt=0007 CREATE_NODE id=n_30b94eba0de1 node_type=claim\nt=0008 CREATE_NODE id=n_5a6addfa9e07 node_type=claim\nt=0009 CREATE_NODE id=n_344f0a3cdb66 node_type=claim\nt=0010 CREATE_NODE id=n_f7af058cac16 node_type=claim\nt=0011 CREATE_NODE id=n_5bc756a6f82d node_type=claim\nt=0012 ASSERT_ROOT node=n_344f0a3cdb66 value=TRUE\nt=0013 ADD_EDGE edge_id=e_3a728c04d737 source=n_5bc756a6f82d edge_type=refutes target=n_30b94eba0de1\nt=0014 ADD_EDGE edge_id=e_ec72a20c027c source=n_5bc756a6f82d edge_type=supports target=n_07a678744c9c\nt=0015 ADD_EDGE edge_id=e_776c05a81df8 source=n_f4fc0618d081 edge_type=supports target=n_5e4401403615\nt=0016 ADD_EDGE edge_id=e_19d808c2d870 source=n_5bc756a6f82d edge_type=refutes target=n_f4fc0618d081\nt=0017 ADD_EDGE edge_id=e_cf22489b6f5a source=n_344f0a3cdb66 edge_type=supports target=n_f7af058cac16\nt=0018 ADD_EDGE edge_id=e_af7b3e48e9a3 source=n_f7af058cac16 edge_type=refutes target=n_bafd6d73cb61\nt=0019 ADD_EDGE edge_id=e_26a22be5823a source=n_07a678744c9c edge_type=supports target=n_dbf46fd79e6e\nt=0020 ADD_EDGE edge_id=e_aa467967b0d3 source=n_f7af058cac16 edge_type=refutes target=n_63dbc1cb4853\nt=0021 ADD_EDGE edge_id=e_94741d63645f source=n_344f0a3cdb66 edge_type=refutes target=n_1b836fe9f80f\nt=0022 ADD_EDGE edge_id=e_98e86d9f9864 source=n_344f0a3cdb66 edge_type=supports target=n_5a6addfa9e07\nt=0023 QUERY source=n_344f0a3cdb66 target=n_f7af058cac16\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1163,"provenance":{"base_record_id":"train-d01-028","dataset":"livegraph-deterministic-parity-v3","depth":1,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d01-028","split":"train","variant":"clean"},"record_seed":426775643817195717,"render_sha256":"06b2722d370bf1b9f696a35bc282575caf9f77487c71cc0be0cd94dda21f7e7f","representation":"linear_trace","semantic_sha256":"c5a89a8dd10f662fbc7a08a5b146f7725081b1f66b2a55167bd07693fd2e25eb"}
{"char_count":2303,"item_id":"train-d01-029::linear_trace","label":"FALSE","lexical_token_proxy_count":400,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_b030e2ee4eb3 node_type=claim\nt=0001 CREATE_NODE id=n_b4849cb44bb1 node_type=claim\nt=0002 CREATE_NODE id=n_ad4fc618b2fe node_type=claim\nt=0003 CREATE_NODE id=n_29f9894adc32 node_type=claim\nt=0004 CREATE_NODE id=n_edb65486f3ad node_type=claim\nt=0005 CREATE_NODE id=n_7d059d2abbd1 node_type=claim\nt=0006 CREATE_NODE id=n_eaa4b492df8c node_type=claim\nt=0007 CREATE_NODE id=n_17c3d9420e91 node_type=claim\nt=0008 CREATE_NODE id=n_544b3302b16b node_type=claim\nt=0009 CREATE_NODE id=n_a896b5edf620 node_type=claim\nt=0010 CREATE_NODE id=n_92eb5140d798 node_type=claim\nt=0011 CREATE_NODE id=n_6211ac5aa2b4 node_type=claim\nt=0012 ASSERT_ROOT node=n_17c3d9420e91 value=TRUE\nt=0013 ADD_EDGE edge_id=e_d423ba4fb860 source=n_6211ac5aa2b4 edge_type=refutes target=n_eaa4b492df8c\nt=0014 ADD_EDGE edge_id=e_6df2dc245481 source=n_17c3d9420e91 edge_type=refutes target=n_6211ac5aa2b4\nt=0015 ADD_EDGE edge_id=e_cf1149988ed9 source=n_7d059d2abbd1 edge_type=refutes target=n_29f9894adc32\nt=0016 ADD_EDGE edge_id=e_3f8f65ea671e source=n_17c3d9420e91 edge_type=supports target=n_a896b5edf620\nt=0017 ADD_EDGE edge_id=e_450ee8623559 source=n_edb65486f3ad edge_type=refutes target=n_7d059d2abbd1\nt=0018 ADD_EDGE edge_id=e_6b4bec6bce93 source=n_17c3d9420e91 edge_type=supports target=n_544b3302b16b\nt=0019 ADD_EDGE edge_id=e_363c1671b21e source=n_edb65486f3ad edge_type=supports target=n_b030e2ee4eb3\nt=0020 ADD_EDGE edge_id=e_996be0bdfe19 source=n_6211ac5aa2b4 edge_type=supports target=n_92eb5140d798\nt=0021 ADD_EDGE edge_id=e_59c9e3652802 source=n_edb65486f3ad edge_type=refutes target=n_b4849cb44bb1\nt=0022 ADD_EDGE edge_id=e_9b3f8cd0320c source=n_edb65486f3ad edge_type=supports target=n_ad4fc618b2fe\nt=0023 QUERY source=n_17c3d9420e91 target=n_6211ac5aa2b4\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1156,"provenance":{"base_record_id":"train-d01-029","dataset":"livegraph-deterministic-parity-v3","depth":1,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d01-029","split":"train","variant":"clean"},"record_seed":1141924336248475096,"render_sha256":"913e5bc10428e4ce92c3bc15521d1f083605f2632ed000ec4b3769a15f012695","representation":"linear_trace","semantic_sha256":"1af301bca98e051f0f8c6a8e35ea54db32e1a02ff6c0b91a51cd254485acd71c"}
{"char_count":2304,"item_id":"train-d01-030::linear_trace","label":"TRUE","lexical_token_proxy_count":400,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_91e7a58399c0 node_type=claim\nt=0001 CREATE_NODE id=n_f00f1d03b50c node_type=claim\nt=0002 CREATE_NODE id=n_9416fc80edb1 node_type=claim\nt=0003 CREATE_NODE id=n_84b06c7cb296 node_type=claim\nt=0004 CREATE_NODE id=n_b7c67794de37 node_type=claim\nt=0005 CREATE_NODE id=n_475c12e46737 node_type=claim\nt=0006 CREATE_NODE id=n_fed9358ec99f node_type=claim\nt=0007 CREATE_NODE id=n_2d2c84000877 node_type=claim\nt=0008 CREATE_NODE id=n_f5e894bcafd8 node_type=claim\nt=0009 CREATE_NODE id=n_2e230fad688a node_type=claim\nt=0010 CREATE_NODE id=n_cf7a7374c4b2 node_type=claim\nt=0011 CREATE_NODE id=n_756ca789615d node_type=claim\nt=0012 ASSERT_ROOT node=n_fed9358ec99f value=FALSE\nt=0013 ADD_EDGE edge_id=e_6757934138f9 source=n_2d2c84000877 edge_type=refutes target=n_f5e894bcafd8\nt=0014 ADD_EDGE edge_id=e_b58eb6f218d5 source=n_2d2c84000877 edge_type=supports target=n_2e230fad688a\nt=0015 ADD_EDGE edge_id=e_a7a3d995e0a7 source=n_756ca789615d edge_type=supports target=n_475c12e46737\nt=0016 ADD_EDGE edge_id=e_5c49f6323f77 source=n_cf7a7374c4b2 edge_type=refutes target=n_9416fc80edb1\nt=0017 ADD_EDGE edge_id=e_1c3591888965 source=n_fed9358ec99f edge_type=refutes target=n_2d2c84000877\nt=0018 ADD_EDGE edge_id=e_afce5067cd25 source=n_f00f1d03b50c edge_type=refutes target=n_b7c67794de37\nt=0019 ADD_EDGE edge_id=e_e99abd1dc20e source=n_f00f1d03b50c edge_type=supports target=n_cf7a7374c4b2\nt=0020 ADD_EDGE edge_id=e_d11b01c42c77 source=n_fed9358ec99f edge_type=refutes target=n_91e7a58399c0\nt=0021 ADD_EDGE edge_id=e_5475ef04201d source=n_2d2c84000877 edge_type=supports target=n_84b06c7cb296\nt=0022 ADD_EDGE edge_id=e_3bff2dfe7be9 source=n_756ca789615d edge_type=supports target=n_f00f1d03b50c\nt=0023 QUERY source=n_fed9358ec99f target=n_2d2c84000877\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1175,"provenance":{"base_record_id":"train-d01-030","dataset":"livegraph-deterministic-parity-v3","depth":1,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d01-030","split":"train","variant":"clean"},"record_seed":460013421572660006,"render_sha256":"c6b57bc0cc4e09f61e79f8b71601031efc3e2a451edb9294a1e45ebed05c636e","representation":"linear_trace","semantic_sha256":"5b79105fc2f88d3b4ed8604a2fff7e29612cb6ca228772021b85dc171f056122"}
{"char_count":2304,"item_id":"train-d01-031::linear_trace","label":"FALSE","lexical_token_proxy_count":400,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_60aa518378b8 node_type=claim\nt=0001 CREATE_NODE id=n_0f8a5fd761b4 node_type=claim\nt=0002 CREATE_NODE id=n_ae8530257f7f node_type=claim\nt=0003 CREATE_NODE id=n_ef792e9ec0d3 node_type=claim\nt=0004 CREATE_NODE id=n_b7d15be0fff8 node_type=claim\nt=0005 CREATE_NODE id=n_021e7a5b3d45 node_type=claim\nt=0006 CREATE_NODE id=n_5cd9db0d37c9 node_type=claim\nt=0007 CREATE_NODE id=n_f15d4fb10534 node_type=claim\nt=0008 CREATE_NODE id=n_2ab05cb830ac node_type=claim\nt=0009 CREATE_NODE id=n_83c3e95197b4 node_type=claim\nt=0010 CREATE_NODE id=n_2d1b5a9ed713 node_type=claim\nt=0011 CREATE_NODE id=n_c34946f65f56 node_type=claim\nt=0012 ASSERT_ROOT node=n_2d1b5a9ed713 value=FALSE\nt=0013 ADD_EDGE edge_id=e_1b8ff0b782ed source=n_ef792e9ec0d3 edge_type=refutes target=n_60aa518378b8\nt=0014 ADD_EDGE edge_id=e_3dcc8a622b1f source=n_b7d15be0fff8 edge_type=refutes target=n_0f8a5fd761b4\nt=0015 ADD_EDGE edge_id=e_f9453b8f0f31 source=n_0f8a5fd761b4 edge_type=refutes target=n_83c3e95197b4\nt=0016 ADD_EDGE edge_id=e_8f2c4da04ab9 source=n_c34946f65f56 edge_type=refutes target=n_021e7a5b3d45\nt=0017 ADD_EDGE edge_id=e_923f91f24084 source=n_2d1b5a9ed713 edge_type=supports target=n_5cd9db0d37c9\nt=0018 ADD_EDGE edge_id=e_03044626b8cb source=n_c34946f65f56 edge_type=supports target=n_f15d4fb10534\nt=0019 ADD_EDGE edge_id=e_7890c899a644 source=n_60aa518378b8 edge_type=supports target=n_b7d15be0fff8\nt=0020 ADD_EDGE edge_id=e_0450e6e48b2a source=n_0f8a5fd761b4 edge_type=supports target=n_ae8530257f7f\nt=0021 ADD_EDGE edge_id=e_1e02eb8faff3 source=n_2d1b5a9ed713 edge_type=refutes target=n_2ab05cb830ac\nt=0022 ADD_EDGE edge_id=e_fa8918b1ebe8 source=n_2d1b5a9ed713 edge_type=supports target=n_c34946f65f56\nt=0023 QUERY source=n_2d1b5a9ed713 target=n_c34946f65f56\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1175,"provenance":{"base_record_id":"train-d01-031","dataset":"livegraph-deterministic-parity-v3","depth":1,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d01-031","split":"train","variant":"clean"},"record_seed":509783492183765022,"render_sha256":"8e218581107aa1cd26acfc1cfdfdd2151f2bea03d9a951b6feed52b15a270865","representation":"linear_trace","semantic_sha256":"36787958cd21f6e7d26308d840904fc1b6c29b3f72396a98078a8ed13a028606"}
{"char_count":2303,"item_id":"train-d01-032::linear_trace","label":"TRUE","lexical_token_proxy_count":400,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_b1f427acd5f1 node_type=claim\nt=0001 CREATE_NODE id=n_a8b59c12b50d node_type=claim\nt=0002 CREATE_NODE id=n_c8c985cda02c node_type=claim\nt=0003 CREATE_NODE id=n_69c268b31bdd node_type=claim\nt=0004 CREATE_NODE id=n_4a41441a49bd node_type=claim\nt=0005 CREATE_NODE id=n_8a9677896f38 node_type=claim\nt=0006 CREATE_NODE id=n_668289cf1888 node_type=claim\nt=0007 CREATE_NODE id=n_502da50e63e5 node_type=claim\nt=0008 CREATE_NODE id=n_386de745ec88 node_type=claim\nt=0009 CREATE_NODE id=n_418315800186 node_type=claim\nt=0010 CREATE_NODE id=n_b8245f78a257 node_type=claim\nt=0011 CREATE_NODE id=n_e732cb4508b8 node_type=claim\nt=0012 ASSERT_ROOT node=n_8a9677896f38 value=TRUE\nt=0013 ADD_EDGE edge_id=e_b28b12e2765c source=n_69c268b31bdd edge_type=refutes target=n_c8c985cda02c\nt=0014 ADD_EDGE edge_id=e_a0522db9664d source=n_a8b59c12b50d edge_type=refutes target=n_69c268b31bdd\nt=0015 ADD_EDGE edge_id=e_2a92143292f9 source=n_386de745ec88 edge_type=supports target=n_e732cb4508b8\nt=0016 ADD_EDGE edge_id=e_5f5c5add5dc0 source=n_69c268b31bdd edge_type=refutes target=n_386de745ec88\nt=0017 ADD_EDGE edge_id=e_6063dd1d96d1 source=n_a8b59c12b50d edge_type=refutes target=n_418315800186\nt=0018 ADD_EDGE edge_id=e_417e614e4978 source=n_8a9677896f38 edge_type=refutes target=n_b8245f78a257\nt=0019 ADD_EDGE edge_id=e_6b3c82246ebf source=n_8a9677896f38 edge_type=supports target=n_668289cf1888\nt=0020 ADD_EDGE edge_id=e_9e5d94490f1b source=n_8a9677896f38 edge_type=supports target=n_b1f427acd5f1\nt=0021 ADD_EDGE edge_id=e_d00417c2e8e6 source=n_8a9677896f38 edge_type=supports target=n_502da50e63e5\nt=0022 ADD_EDGE edge_id=e_ab0afb2ad651 source=n_8a9677896f38 edge_type=supports target=n_4a41441a49bd\nt=0023 QUERY source=n_8a9677896f38 target=n_668289cf1888\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1189,"provenance":{"base_record_id":"train-d01-032","dataset":"livegraph-deterministic-parity-v3","depth":1,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d01-032","split":"train","variant":"clean"},"record_seed":16634743178485688,"render_sha256":"037a0fabef877c46004681cc00639acd26c6987bfc55a1c01a574dc91bb5c8bf","representation":"linear_trace","semantic_sha256":"dc75447e4d6cafdbe375bfd9470b1a970210d73b145f772692657b8f69516fe8"}
{"char_count":2303,"item_id":"train-d01-033::linear_trace","label":"FALSE","lexical_token_proxy_count":400,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_4d51c378aa9e node_type=claim\nt=0001 CREATE_NODE id=n_38b8d561522e node_type=claim\nt=0002 CREATE_NODE id=n_faa689bf3969 node_type=claim\nt=0003 CREATE_NODE id=n_51d1daecb0fb node_type=claim\nt=0004 CREATE_NODE id=n_752e38ad912e node_type=claim\nt=0005 CREATE_NODE id=n_16855d88c2e1 node_type=claim\nt=0006 CREATE_NODE id=n_4aa2c7dce28b node_type=claim\nt=0007 CREATE_NODE id=n_03b7f6371826 node_type=claim\nt=0008 CREATE_NODE id=n_facbf786bb0d node_type=claim\nt=0009 CREATE_NODE id=n_52820905a75e node_type=claim\nt=0010 CREATE_NODE id=n_4e981bb508fe node_type=claim\nt=0011 CREATE_NODE id=n_dad5c2485953 node_type=claim\nt=0012 ASSERT_ROOT node=n_dad5c2485953 value=TRUE\nt=0013 ADD_EDGE edge_id=e_d5350e6628b7 source=n_16855d88c2e1 edge_type=supports target=n_03b7f6371826\nt=0014 ADD_EDGE edge_id=e_7eb3c8b85276 source=n_4d51c378aa9e edge_type=supports target=n_4aa2c7dce28b\nt=0015 ADD_EDGE edge_id=e_0f5079ad1ad9 source=n_16855d88c2e1 edge_type=refutes target=n_faa689bf3969\nt=0016 ADD_EDGE edge_id=e_c57bf03ae855 source=n_dad5c2485953 edge_type=refutes target=n_facbf786bb0d\nt=0017 ADD_EDGE edge_id=e_27b63fc924dd source=n_dad5c2485953 edge_type=refutes target=n_16855d88c2e1\nt=0018 ADD_EDGE edge_id=e_3ade7616c870 source=n_51d1daecb0fb edge_type=supports target=n_38b8d561522e\nt=0019 ADD_EDGE edge_id=e_902053c43e8e source=n_16855d88c2e1 edge_type=supports target=n_752e38ad912e\nt=0020 ADD_EDGE edge_id=e_27c84708adcd source=n_4e981bb508fe edge_type=supports target=n_4d51c378aa9e\nt=0021 ADD_EDGE edge_id=e_dbbc5f59f089 source=n_4d51c378aa9e edge_type=refutes target=n_52820905a75e\nt=0022 ADD_EDGE edge_id=e_cc5e58c58287 source=n_4d51c378aa9e edge_type=refutes target=n_51d1daecb0fb\nt=0023 QUERY source=n_dad5c2485953 target=n_16855d88c2e1\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1165,"provenance":{"base_record_id":"train-d01-033","dataset":"livegraph-deterministic-parity-v3","depth":1,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d01-033","split":"train","variant":"clean"},"record_seed":131024468770286060,"render_sha256":"400208cb0c98b3675c9f7aaf23ebf5cfa2e460c794ba54f6cbb946bddd614b16","representation":"linear_trace","semantic_sha256":"1ce8f24b90d5040f363ff16a3cb3accbc55afc19f78905c551af4b14f2972818"}
{"char_count":2304,"item_id":"train-d01-034::linear_trace","label":"TRUE","lexical_token_proxy_count":400,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_6e4c814452e5 node_type=claim\nt=0001 CREATE_NODE id=n_a1ba6689caf4 node_type=claim\nt=0002 CREATE_NODE id=n_da8392b9ebe6 node_type=claim\nt=0003 CREATE_NODE id=n_3251c3c7a550 node_type=claim\nt=0004 CREATE_NODE id=n_974e84578406 node_type=claim\nt=0005 CREATE_NODE id=n_fe161924f459 node_type=claim\nt=0006 CREATE_NODE id=n_83ab0f2046b5 node_type=claim\nt=0007 CREATE_NODE id=n_7f30ecc2a1c2 node_type=claim\nt=0008 CREATE_NODE id=n_3c9652c18c86 node_type=claim\nt=0009 CREATE_NODE id=n_b594f58c59d7 node_type=claim\nt=0010 CREATE_NODE id=n_d8ac5592406e node_type=claim\nt=0011 CREATE_NODE id=n_0f0367dd6047 node_type=claim\nt=0012 ASSERT_ROOT node=n_3c9652c18c86 value=FALSE\nt=0013 ADD_EDGE edge_id=e_8be8c90e89c9 source=n_a1ba6689caf4 edge_type=supports target=n_6e4c814452e5\nt=0014 ADD_EDGE edge_id=e_b4ecb5807221 source=n_3c9652c18c86 edge_type=refutes target=n_a1ba6689caf4\nt=0015 ADD_EDGE edge_id=e_d357251a4b67 source=n_0f0367dd6047 edge_type=supports target=n_d8ac5592406e\nt=0016 ADD_EDGE edge_id=e_738cbdeaee4e source=n_a1ba6689caf4 edge_type=refutes target=n_fe161924f459\nt=0017 ADD_EDGE edge_id=e_d858f42044eb source=n_d8ac5592406e edge_type=refutes target=n_3251c3c7a550\nt=0018 ADD_EDGE edge_id=e_d36404b5e87b source=n_0f0367dd6047 edge_type=supports target=n_7f30ecc2a1c2\nt=0019 ADD_EDGE edge_id=e_94791754e3d8 source=n_d8ac5592406e edge_type=supports target=n_b594f58c59d7\nt=0020 ADD_EDGE edge_id=e_94ec1516a46b source=n_0f0367dd6047 edge_type=supports target=n_83ab0f2046b5\nt=0021 ADD_EDGE edge_id=e_b8a2341557e7 source=n_a1ba6689caf4 edge_type=refutes target=n_974e84578406\nt=0022 ADD_EDGE edge_id=e_c83281b01343 source=n_a1ba6689caf4 edge_type=refutes target=n_da8392b9ebe6\nt=0023 QUERY source=n_3c9652c18c86 target=n_a1ba6689caf4\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1176,"provenance":{"base_record_id":"train-d01-034","dataset":"livegraph-deterministic-parity-v3","depth":1,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d01-034","split":"train","variant":"clean"},"record_seed":455721419697433987,"render_sha256":"48ee7767b8417d5c0433856e5a28f53b4c4dbd66407f37be06becddb9884487f","representation":"linear_trace","semantic_sha256":"7e06aa68e3e914ceef3f16b05f8b6e6778d16029a9c16337869a7840c606eeed"}
{"char_count":2304,"item_id":"train-d01-035::linear_trace","label":"FALSE","lexical_token_proxy_count":400,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_236d81758e34 node_type=claim\nt=0001 CREATE_NODE id=n_ee00340131fb node_type=claim\nt=0002 CREATE_NODE id=n_6628f2294fe7 node_type=claim\nt=0003 CREATE_NODE id=n_4ab2fac9d4dd node_type=claim\nt=0004 CREATE_NODE id=n_0addef252819 node_type=claim\nt=0005 CREATE_NODE id=n_000c645e4825 node_type=claim\nt=0006 CREATE_NODE id=n_bbe9dd687d69 node_type=claim\nt=0007 CREATE_NODE id=n_5f401330d709 node_type=claim\nt=0008 CREATE_NODE id=n_518296507a72 node_type=claim\nt=0009 CREATE_NODE id=n_83df7d88d55b node_type=claim\nt=0010 CREATE_NODE id=n_63e22de37b91 node_type=claim\nt=0011 CREATE_NODE id=n_f3017bd4975e node_type=claim\nt=0012 ASSERT_ROOT node=n_63e22de37b91 value=FALSE\nt=0013 ADD_EDGE edge_id=e_04b73c055d33 source=n_000c645e4825 edge_type=refutes target=n_236d81758e34\nt=0014 ADD_EDGE edge_id=e_e554e7cafb07 source=n_63e22de37b91 edge_type=supports target=n_bbe9dd687d69\nt=0015 ADD_EDGE edge_id=e_2de674a409e3 source=n_83df7d88d55b edge_type=refutes target=n_000c645e4825\nt=0016 ADD_EDGE edge_id=e_bb6c937828d8 source=n_63e22de37b91 edge_type=supports target=n_ee00340131fb\nt=0017 ADD_EDGE edge_id=e_d440b840dc43 source=n_63e22de37b91 edge_type=supports target=n_f3017bd4975e\nt=0018 ADD_EDGE edge_id=e_648ffb7b0687 source=n_63e22de37b91 edge_type=refutes target=n_518296507a72\nt=0019 ADD_EDGE edge_id=e_f7daefa4e37d source=n_83df7d88d55b edge_type=supports target=n_5f401330d709\nt=0020 ADD_EDGE edge_id=e_813fa4138b32 source=n_83df7d88d55b edge_type=supports target=n_6628f2294fe7\nt=0021 ADD_EDGE edge_id=e_ecea1a8d64ad source=n_5f401330d709 edge_type=refutes target=n_0addef252819\nt=0022 ADD_EDGE edge_id=e_672665ce6000 source=n_63e22de37b91 edge_type=refutes target=n_4ab2fac9d4dd\nt=0023 QUERY source=n_63e22de37b91 target=n_f3017bd4975e\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1172,"provenance":{"base_record_id":"train-d01-035","dataset":"livegraph-deterministic-parity-v3","depth":1,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d01-035","split":"train","variant":"clean"},"record_seed":1145174304387531221,"render_sha256":"bbb74d53b034c9fe39eae8544ca736c2caf12fb66135a7c9712348a66c0dee03","representation":"linear_trace","semantic_sha256":"9b67520f17e5adf3747e8c441393762bd35e8fe8a45bcd92589f7f3cf1dd66df"}
{"char_count":2303,"item_id":"train-d01-036::linear_trace","label":"TRUE","lexical_token_proxy_count":400,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_c47b08507767 node_type=claim\nt=0001 CREATE_NODE id=n_01cb52f68d82 node_type=claim\nt=0002 CREATE_NODE id=n_f2a6bfb9fa7e node_type=claim\nt=0003 CREATE_NODE id=n_267e5db717d1 node_type=claim\nt=0004 CREATE_NODE id=n_c9035f5b6e1a node_type=claim\nt=0005 CREATE_NODE id=n_88572b34795d node_type=claim\nt=0006 CREATE_NODE id=n_3c8e2f026fc4 node_type=claim\nt=0007 CREATE_NODE id=n_d1fd99d23572 node_type=claim\nt=0008 CREATE_NODE id=n_10ad38e90745 node_type=claim\nt=0009 CREATE_NODE id=n_ec687505ae69 node_type=claim\nt=0010 CREATE_NODE id=n_6ea3b2059a9e node_type=claim\nt=0011 CREATE_NODE id=n_9288d250f445 node_type=claim\nt=0012 ASSERT_ROOT node=n_c47b08507767 value=TRUE\nt=0013 ADD_EDGE edge_id=e_920ce7753a18 source=n_c47b08507767 edge_type=refutes target=n_01cb52f68d82\nt=0014 ADD_EDGE edge_id=e_447fd28f6542 source=n_c47b08507767 edge_type=refutes target=n_9288d250f445\nt=0015 ADD_EDGE edge_id=e_62ce1e9a6597 source=n_c47b08507767 edge_type=supports target=n_ec687505ae69\nt=0016 ADD_EDGE edge_id=e_bdaa77fb5921 source=n_6ea3b2059a9e edge_type=refutes target=n_f2a6bfb9fa7e\nt=0017 ADD_EDGE edge_id=e_1fb5eec27bfc source=n_c47b08507767 edge_type=supports target=n_3c8e2f026fc4\nt=0018 ADD_EDGE edge_id=e_e3c606c9b721 source=n_c47b08507767 edge_type=supports target=n_88572b34795d\nt=0019 ADD_EDGE edge_id=e_6ef3f8fcadc2 source=n_f2a6bfb9fa7e edge_type=supports target=n_c9035f5b6e1a\nt=0020 ADD_EDGE edge_id=e_1f0911b05d2f source=n_c9035f5b6e1a edge_type=supports target=n_10ad38e90745\nt=0021 ADD_EDGE edge_id=e_4b62e4967a11 source=n_d1fd99d23572 edge_type=refutes target=n_267e5db717d1\nt=0022 ADD_EDGE edge_id=e_3ce7c990d74d source=n_6ea3b2059a9e edge_type=refutes target=n_d1fd99d23572\nt=0023 QUERY source=n_c47b08507767 target=n_ec687505ae69\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1186,"provenance":{"base_record_id":"train-d01-036","dataset":"livegraph-deterministic-parity-v3","depth":1,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d01-036","split":"train","variant":"clean"},"record_seed":285676038069473510,"render_sha256":"c484ee014a0295f4c4554e6e61bd97a1e0b635c26c95aa242ef1a478e20114ee","representation":"linear_trace","semantic_sha256":"bd122dc6427a471956428411ff704a4c171455c9d6d703e5202b59fe982a33d2"}
{"char_count":2303,"item_id":"train-d01-037::linear_trace","label":"FALSE","lexical_token_proxy_count":400,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_09d581efc324 node_type=claim\nt=0001 CREATE_NODE id=n_d45a9b952430 node_type=claim\nt=0002 CREATE_NODE id=n_bd9c69439552 node_type=claim\nt=0003 CREATE_NODE id=n_438c9a2c77dd node_type=claim\nt=0004 CREATE_NODE id=n_d40bfbbd6d5e node_type=claim\nt=0005 CREATE_NODE id=n_67983463d3a2 node_type=claim\nt=0006 CREATE_NODE id=n_79d79130fdfd node_type=claim\nt=0007 CREATE_NODE id=n_cab0679fa808 node_type=claim\nt=0008 CREATE_NODE id=n_1d59e89c647d node_type=claim\nt=0009 CREATE_NODE id=n_ceef67c7d8ce node_type=claim\nt=0010 CREATE_NODE id=n_bf91441ed979 node_type=claim\nt=0011 CREATE_NODE id=n_be8011fddef4 node_type=claim\nt=0012 ASSERT_ROOT node=n_bf91441ed979 value=TRUE\nt=0013 ADD_EDGE edge_id=e_69e1bd2f5b09 source=n_09d581efc324 edge_type=refutes target=n_d40bfbbd6d5e\nt=0014 ADD_EDGE edge_id=e_842c17f7e3bb source=n_d45a9b952430 edge_type=supports target=n_cab0679fa808\nt=0015 ADD_EDGE edge_id=e_071cc8222ba0 source=n_be8011fddef4 edge_type=refutes target=n_ceef67c7d8ce\nt=0016 ADD_EDGE edge_id=e_701acf25686c source=n_09d581efc324 edge_type=supports target=n_d45a9b952430\nt=0017 ADD_EDGE edge_id=e_88324f0243dc source=n_79d79130fdfd edge_type=supports target=n_438c9a2c77dd\nt=0018 ADD_EDGE edge_id=e_6ae5ca633c31 source=n_bf91441ed979 edge_type=supports target=n_bd9c69439552\nt=0019 ADD_EDGE edge_id=e_ad698811f04f source=n_be8011fddef4 edge_type=supports target=n_67983463d3a2\nt=0020 ADD_EDGE edge_id=e_8dd8a9e00c11 source=n_bf91441ed979 edge_type=refutes target=n_1d59e89c647d\nt=0021 ADD_EDGE edge_id=e_e9675d8cd026 source=n_bf91441ed979 edge_type=refutes target=n_be8011fddef4\nt=0022 ADD_EDGE edge_id=e_1413931e39cf source=n_79d79130fdfd edge_type=refutes target=n_09d581efc324\nt=0023 QUERY source=n_bf91441ed979 target=n_be8011fddef4\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1155,"provenance":{"base_record_id":"train-d01-037","dataset":"livegraph-deterministic-parity-v3","depth":1,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d01-037","split":"train","variant":"clean"},"record_seed":631024372068049880,"render_sha256":"158441cde7b393d44eeb5bac417f8872013faa9ef434b7e6b21f995ffcad147b","representation":"linear_trace","semantic_sha256":"84129608cf4b97c650edb3d9ed93674c8f906633c2d161a6a75ed1cf834d6ada"}
{"char_count":2304,"item_id":"train-d01-038::linear_trace","label":"TRUE","lexical_token_proxy_count":400,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_481cc20c5d65 node_type=claim\nt=0001 CREATE_NODE id=n_955895272515 node_type=claim\nt=0002 CREATE_NODE id=n_e759bf207987 node_type=claim\nt=0003 CREATE_NODE id=n_4551c2b08900 node_type=claim\nt=0004 CREATE_NODE id=n_6ba273ae652f node_type=claim\nt=0005 CREATE_NODE id=n_267c1cfcb12f node_type=claim\nt=0006 CREATE_NODE id=n_2421b9130f91 node_type=claim\nt=0007 CREATE_NODE id=n_0f6ba4acaf9c node_type=claim\nt=0008 CREATE_NODE id=n_5ad956b5e1a8 node_type=claim\nt=0009 CREATE_NODE id=n_fbf8df74924d node_type=claim\nt=0010 CREATE_NODE id=n_bc6fda8f1825 node_type=claim\nt=0011 CREATE_NODE id=n_458d6351205b node_type=claim\nt=0012 ASSERT_ROOT node=n_fbf8df74924d value=FALSE\nt=0013 ADD_EDGE edge_id=e_758a9ae7bb27 source=n_481cc20c5d65 edge_type=refutes target=n_5ad956b5e1a8\nt=0014 ADD_EDGE edge_id=e_2ede4f93669d source=n_bc6fda8f1825 edge_type=refutes target=n_2421b9130f91\nt=0015 ADD_EDGE edge_id=e_254dec6f561f source=n_fbf8df74924d edge_type=refutes target=n_267c1cfcb12f\nt=0016 ADD_EDGE edge_id=e_4617aafd0038 source=n_fbf8df74924d edge_type=supports target=n_6ba273ae652f\nt=0017 ADD_EDGE edge_id=e_478d5da43fa0 source=n_fbf8df74924d edge_type=refutes target=n_458d6351205b\nt=0018 ADD_EDGE edge_id=e_0add0c94edf7 source=n_267c1cfcb12f edge_type=supports target=n_e759bf207987\nt=0019 ADD_EDGE edge_id=e_8f197928623b source=n_481cc20c5d65 edge_type=supports target=n_bc6fda8f1825\nt=0020 ADD_EDGE edge_id=e_70a45795176f source=n_fbf8df74924d edge_type=refutes target=n_955895272515\nt=0021 ADD_EDGE edge_id=e_3a83dec83ee5 source=n_bc6fda8f1825 edge_type=supports target=n_0f6ba4acaf9c\nt=0022 ADD_EDGE edge_id=e_2a942b2b7c74 source=n_bc6fda8f1825 edge_type=supports target=n_4551c2b08900\nt=0023 QUERY source=n_fbf8df74924d target=n_267c1cfcb12f\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1156,"provenance":{"base_record_id":"train-d01-038","dataset":"livegraph-deterministic-parity-v3","depth":1,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d01-038","split":"train","variant":"clean"},"record_seed":979021471810990390,"render_sha256":"655247001ae95de5657878708eb327ec84d92582b611bbed138ac809a8c6726f","representation":"linear_trace","semantic_sha256":"d2457ddb6a9c6e79575b5fa4536de9b8b7a8068f91531fc1bf58e151933a3132"}
{"char_count":2304,"item_id":"train-d01-039::linear_trace","label":"FALSE","lexical_token_proxy_count":400,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_b4222d84415a node_type=claim\nt=0001 CREATE_NODE id=n_37a348f1f644 node_type=claim\nt=0002 CREATE_NODE id=n_13c01751f42d node_type=claim\nt=0003 CREATE_NODE id=n_71bbcefb00de node_type=claim\nt=0004 CREATE_NODE id=n_d8de34d1246a node_type=claim\nt=0005 CREATE_NODE id=n_d2c9b982099b node_type=claim\nt=0006 CREATE_NODE id=n_2272653ce633 node_type=claim\nt=0007 CREATE_NODE id=n_43bf153eb27b node_type=claim\nt=0008 CREATE_NODE id=n_26d3ba48e440 node_type=claim\nt=0009 CREATE_NODE id=n_38c9b8078099 node_type=claim\nt=0010 CREATE_NODE id=n_c738abf4a746 node_type=claim\nt=0011 CREATE_NODE id=n_9d315b65eb17 node_type=claim\nt=0012 ASSERT_ROOT node=n_d2c9b982099b value=FALSE\nt=0013 ADD_EDGE edge_id=e_baafb0f8eb63 source=n_43bf153eb27b edge_type=supports target=n_b4222d84415a\nt=0014 ADD_EDGE edge_id=e_4364d9fea906 source=n_d2c9b982099b edge_type=supports target=n_38c9b8078099\nt=0015 ADD_EDGE edge_id=e_863a144737a0 source=n_43bf153eb27b edge_type=supports target=n_2272653ce633\nt=0016 ADD_EDGE edge_id=e_016826da1026 source=n_26d3ba48e440 edge_type=refutes target=n_13c01751f42d\nt=0017 ADD_EDGE edge_id=e_5fc40204a86c source=n_38c9b8078099 edge_type=supports target=n_c738abf4a746\nt=0018 ADD_EDGE edge_id=e_c33906700243 source=n_d2c9b982099b edge_type=refutes target=n_9d315b65eb17\nt=0019 ADD_EDGE edge_id=e_34b9e8acfcd9 source=n_d2c9b982099b edge_type=supports target=n_37a348f1f644\nt=0020 ADD_EDGE edge_id=e_0a7311ebf9f4 source=n_d8de34d1246a edge_type=refutes target=n_26d3ba48e440\nt=0021 ADD_EDGE edge_id=e_d66e365126d5 source=n_43bf153eb27b edge_type=refutes target=n_d8de34d1246a\nt=0022 ADD_EDGE edge_id=e_f5d0d4454f9e source=n_d2c9b982099b edge_type=refutes target=n_71bbcefb00de\nt=0023 QUERY source=n_d2c9b982099b target=n_38c9b8078099\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1188,"provenance":{"base_record_id":"train-d01-039","dataset":"livegraph-deterministic-parity-v3","depth":1,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d01-039","split":"train","variant":"clean"},"record_seed":224329285331660810,"render_sha256":"b15b3d1a894edbad6beffb194bf60afe60a8ba7d2389cd70ceea205e154e5893","representation":"linear_trace","semantic_sha256":"e7659133fa6e7cf54fbc042cdb5a10eaad30d7d6696ebe0428fc95a08794d1ed"}
{"char_count":2303,"item_id":"train-d01-040::linear_trace","label":"TRUE","lexical_token_proxy_count":400,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_fbe2952a98cc node_type=claim\nt=0001 CREATE_NODE id=n_f9deb310897e node_type=claim\nt=0002 CREATE_NODE id=n_686af696e8b1 node_type=claim\nt=0003 CREATE_NODE id=n_25d89854f036 node_type=claim\nt=0004 CREATE_NODE id=n_64570fbb5a3a node_type=claim\nt=0005 CREATE_NODE id=n_874d9e0aaa00 node_type=claim\nt=0006 CREATE_NODE id=n_eb93d8bcedfc node_type=claim\nt=0007 CREATE_NODE id=n_7a7d7d88dfc4 node_type=claim\nt=0008 CREATE_NODE id=n_d139c2468582 node_type=claim\nt=0009 CREATE_NODE id=n_e5f04bc87781 node_type=claim\nt=0010 CREATE_NODE id=n_b9923af23c0a node_type=claim\nt=0011 CREATE_NODE id=n_c25f1ae4faf2 node_type=claim\nt=0012 ASSERT_ROOT node=n_c25f1ae4faf2 value=TRUE\nt=0013 ADD_EDGE edge_id=e_b34a96a7f446 source=n_c25f1ae4faf2 edge_type=supports target=n_eb93d8bcedfc\nt=0014 ADD_EDGE edge_id=e_d37d538de0bf source=n_686af696e8b1 edge_type=supports target=n_fbe2952a98cc\nt=0015 ADD_EDGE edge_id=e_ad8a7fcbbb62 source=n_eb93d8bcedfc edge_type=refutes target=n_b9923af23c0a\nt=0016 ADD_EDGE edge_id=e_c2e665f215bc source=n_fbe2952a98cc edge_type=refutes target=n_d139c2468582\nt=0017 ADD_EDGE edge_id=e_67542a5bb129 source=n_c25f1ae4faf2 edge_type=supports target=n_874d9e0aaa00\nt=0018 ADD_EDGE edge_id=e_2b4551ef1b19 source=n_fbe2952a98cc edge_type=refutes target=n_e5f04bc87781\nt=0019 ADD_EDGE edge_id=e_1b7b3e634174 source=n_25d89854f036 edge_type=refutes target=n_64570fbb5a3a\nt=0020 ADD_EDGE edge_id=e_449b44bf94c2 source=n_eb93d8bcedfc edge_type=supports target=n_f9deb310897e\nt=0021 ADD_EDGE edge_id=e_dabe88e3fdef source=n_686af696e8b1 edge_type=supports target=n_25d89854f036\nt=0022 ADD_EDGE edge_id=e_fb0a575e596b source=n_c25f1ae4faf2 edge_type=refutes target=n_7a7d7d88dfc4\nt=0023 QUERY source=n_c25f1ae4faf2 target=n_eb93d8bcedfc\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1147,"provenance":{"base_record_id":"train-d01-040","dataset":"livegraph-deterministic-parity-v3","depth":1,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d01-040","split":"train","variant":"clean"},"record_seed":1005656733236700423,"render_sha256":"3ede357548ae64d0c6612a5c1e0a9fc4e3988b0fd0e568e0db598d7c44b855c6","representation":"linear_trace","semantic_sha256":"517b882d152c1723b948993087c98b6c4d7ccf1fb79932cb1352b108256616d3"}
{"char_count":2303,"item_id":"train-d01-041::linear_trace","label":"FALSE","lexical_token_proxy_count":400,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_077b2bf5dbce node_type=claim\nt=0001 CREATE_NODE id=n_f4f8ac2a5b74 node_type=claim\nt=0002 CREATE_NODE id=n_b3f9c99917f9 node_type=claim\nt=0003 CREATE_NODE id=n_da194b58ee44 node_type=claim\nt=0004 CREATE_NODE id=n_16760a0ad008 node_type=claim\nt=0005 CREATE_NODE id=n_6f3183cc54c5 node_type=claim\nt=0006 CREATE_NODE id=n_08139e80988f node_type=claim\nt=0007 CREATE_NODE id=n_8e0f6768fc34 node_type=claim\nt=0008 CREATE_NODE id=n_291b8696b5cc node_type=claim\nt=0009 CREATE_NODE id=n_53516d8b8a85 node_type=claim\nt=0010 CREATE_NODE id=n_93eefb5c3a8e node_type=claim\nt=0011 CREATE_NODE id=n_e7ea9d2181af node_type=claim\nt=0012 ASSERT_ROOT node=n_53516d8b8a85 value=TRUE\nt=0013 ADD_EDGE edge_id=e_50ce73ce92fc source=n_53516d8b8a85 edge_type=refutes target=n_291b8696b5cc\nt=0014 ADD_EDGE edge_id=e_917f41f76c9a source=n_53516d8b8a85 edge_type=supports target=n_b3f9c99917f9\nt=0015 ADD_EDGE edge_id=e_e626751c0d24 source=n_93eefb5c3a8e edge_type=refutes target=n_e7ea9d2181af\nt=0016 ADD_EDGE edge_id=e_d553525965f5 source=n_53516d8b8a85 edge_type=refutes target=n_6f3183cc54c5\nt=0017 ADD_EDGE edge_id=e_77ba11a59e15 source=n_53516d8b8a85 edge_type=refutes target=n_16760a0ad008\nt=0018 ADD_EDGE edge_id=e_c639edbbffd6 source=n_93eefb5c3a8e edge_type=supports target=n_f4f8ac2a5b74\nt=0019 ADD_EDGE edge_id=e_a783f507b8ef source=n_291b8696b5cc edge_type=supports target=n_da194b58ee44\nt=0020 ADD_EDGE edge_id=e_539f27587b27 source=n_077b2bf5dbce edge_type=supports target=n_08139e80988f\nt=0021 ADD_EDGE edge_id=e_52c1d00b1439 source=n_93eefb5c3a8e edge_type=supports target=n_8e0f6768fc34\nt=0022 ADD_EDGE edge_id=e_f24ca6791e29 source=n_93eefb5c3a8e edge_type=refutes target=n_077b2bf5dbce\nt=0023 QUERY source=n_53516d8b8a85 target=n_291b8696b5cc\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1183,"provenance":{"base_record_id":"train-d01-041","dataset":"livegraph-deterministic-parity-v3","depth":1,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d01-041","split":"train","variant":"clean"},"record_seed":838564495376116663,"render_sha256":"2d57316f63a4d0da51c98d97e4d2f6a87065b7990d7fc0ce1726b2067977dff7","representation":"linear_trace","semantic_sha256":"8401cb1365800cc3f6d1a06f9d3beb8bafe3e700d2a2f0ca29f0ba05f7b9b857"}
{"char_count":2304,"item_id":"train-d01-042::linear_trace","label":"TRUE","lexical_token_proxy_count":400,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_6defc34afbd9 node_type=claim\nt=0001 CREATE_NODE id=n_d73e26880f8e node_type=claim\nt=0002 CREATE_NODE id=n_b809fc511ba4 node_type=claim\nt=0003 CREATE_NODE id=n_bf4bec632460 node_type=claim\nt=0004 CREATE_NODE id=n_b96a9d33d553 node_type=claim\nt=0005 CREATE_NODE id=n_f5c04ae13844 node_type=claim\nt=0006 CREATE_NODE id=n_d99c85141291 node_type=claim\nt=0007 CREATE_NODE id=n_cae67c81b83d node_type=claim\nt=0008 CREATE_NODE id=n_90f41946bada node_type=claim\nt=0009 CREATE_NODE id=n_2ec4994d3cd6 node_type=claim\nt=0010 CREATE_NODE id=n_edcc6c6b7fcb node_type=claim\nt=0011 CREATE_NODE id=n_8becbf6bc113 node_type=claim\nt=0012 ASSERT_ROOT node=n_8becbf6bc113 value=FALSE\nt=0013 ADD_EDGE edge_id=e_c4742007645d source=n_6defc34afbd9 edge_type=supports target=n_b809fc511ba4\nt=0014 ADD_EDGE edge_id=e_b2d3be928dae source=n_d99c85141291 edge_type=supports target=n_90f41946bada\nt=0015 ADD_EDGE edge_id=e_0c46d80ed1b4 source=n_8becbf6bc113 edge_type=refutes target=n_d99c85141291\nt=0016 ADD_EDGE edge_id=e_0d116d8aafdc source=n_6defc34afbd9 edge_type=refutes target=n_bf4bec632460\nt=0017 ADD_EDGE edge_id=e_ddf75d44e8e6 source=n_8becbf6bc113 edge_type=refutes target=n_edcc6c6b7fcb\nt=0018 ADD_EDGE edge_id=e_c0c7f6af8aee source=n_d73e26880f8e edge_type=refutes target=n_2ec4994d3cd6\nt=0019 ADD_EDGE edge_id=e_4ec2943a5e44 source=n_8becbf6bc113 edge_type=refutes target=n_b96a9d33d553\nt=0020 ADD_EDGE edge_id=e_fd98347cb338 source=n_d99c85141291 edge_type=supports target=n_f5c04ae13844\nt=0021 ADD_EDGE edge_id=e_672fbd78bdf1 source=n_6defc34afbd9 edge_type=supports target=n_d73e26880f8e\nt=0022 ADD_EDGE edge_id=e_272145b8b21b source=n_b809fc511ba4 edge_type=supports target=n_cae67c81b83d\nt=0023 QUERY source=n_8becbf6bc113 target=n_d99c85141291\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1143,"provenance":{"base_record_id":"train-d01-042","dataset":"livegraph-deterministic-parity-v3","depth":1,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d01-042","split":"train","variant":"clean"},"record_seed":77032920541407414,"render_sha256":"93a8946c5ecbf5904a626df8aa883c466fb654e095bb0ce95c54ceabca278e45","representation":"linear_trace","semantic_sha256":"69a4f7317a08ad46d81e4b813aade4eb8bbd92940d9e7b93a728e5a5be01200b"}
{"char_count":2304,"item_id":"train-d01-043::linear_trace","label":"FALSE","lexical_token_proxy_count":400,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_05581549b5b3 node_type=claim\nt=0001 CREATE_NODE id=n_b8181eb7d740 node_type=claim\nt=0002 CREATE_NODE id=n_d44a1838b40e node_type=claim\nt=0003 CREATE_NODE id=n_ef7e46557b20 node_type=claim\nt=0004 CREATE_NODE id=n_a9e05e625ac0 node_type=claim\nt=0005 CREATE_NODE id=n_56814e3cc35d node_type=claim\nt=0006 CREATE_NODE id=n_fcf8c9871615 node_type=claim\nt=0007 CREATE_NODE id=n_1686b893ac3d node_type=claim\nt=0008 CREATE_NODE id=n_17c685ee51c0 node_type=claim\nt=0009 CREATE_NODE id=n_2d2d893fd561 node_type=claim\nt=0010 CREATE_NODE id=n_7e6733a449f0 node_type=claim\nt=0011 CREATE_NODE id=n_6aeae8e22370 node_type=claim\nt=0012 ASSERT_ROOT node=n_6aeae8e22370 value=FALSE\nt=0013 ADD_EDGE edge_id=e_13783fb4ddc3 source=n_2d2d893fd561 edge_type=supports target=n_fcf8c9871615\nt=0014 ADD_EDGE edge_id=e_c149c23a9b56 source=n_05581549b5b3 edge_type=refutes target=n_56814e3cc35d\nt=0015 ADD_EDGE edge_id=e_7a273348d07c source=n_a9e05e625ac0 edge_type=refutes target=n_d44a1838b40e\nt=0016 ADD_EDGE edge_id=e_5346e97840bc source=n_17c685ee51c0 edge_type=supports target=n_05581549b5b3\nt=0017 ADD_EDGE edge_id=e_69df53f1242e source=n_6aeae8e22370 edge_type=refutes target=n_7e6733a449f0\nt=0018 ADD_EDGE edge_id=e_b280dbafccca source=n_ef7e46557b20 edge_type=supports target=n_17c685ee51c0\nt=0019 ADD_EDGE edge_id=e_40d85a3f21b0 source=n_ef7e46557b20 edge_type=refutes target=n_2d2d893fd561\nt=0020 ADD_EDGE edge_id=e_20dfedd70912 source=n_6aeae8e22370 edge_type=supports target=n_1686b893ac3d\nt=0021 ADD_EDGE edge_id=e_8cee78440c64 source=n_6aeae8e22370 edge_type=supports target=n_a9e05e625ac0\nt=0022 ADD_EDGE edge_id=e_f7def1f72681 source=n_6aeae8e22370 edge_type=refutes target=n_b8181eb7d740\nt=0023 QUERY source=n_6aeae8e22370 target=n_a9e05e625ac0\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1177,"provenance":{"base_record_id":"train-d01-043","dataset":"livegraph-deterministic-parity-v3","depth":1,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d01-043","split":"train","variant":"clean"},"record_seed":501049858445736773,"render_sha256":"91ba3d2d4356f0e3c22d565f222c33a424a5cb35e63e419991335b266835460e","representation":"linear_trace","semantic_sha256":"2090d5593864a3b648b8d0074639381647f7e7692138ebad0b139a0f36b77b09"}
{"char_count":2303,"item_id":"train-d01-044::linear_trace","label":"TRUE","lexical_token_proxy_count":400,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_c451cf4188a5 node_type=claim\nt=0001 CREATE_NODE id=n_14f979d61e3c node_type=claim\nt=0002 CREATE_NODE id=n_c4f364a0c79b node_type=claim\nt=0003 CREATE_NODE id=n_86be55465a4d node_type=claim\nt=0004 CREATE_NODE id=n_dd73d4f46910 node_type=claim\nt=0005 CREATE_NODE id=n_91f4c25064f1 node_type=claim\nt=0006 CREATE_NODE id=n_70fe6f308ca1 node_type=claim\nt=0007 CREATE_NODE id=n_192e8e2ed639 node_type=claim\nt=0008 CREATE_NODE id=n_419edc545447 node_type=claim\nt=0009 CREATE_NODE id=n_47763bbcaeb6 node_type=claim\nt=0010 CREATE_NODE id=n_a8688060b8c8 node_type=claim\nt=0011 CREATE_NODE id=n_0c68a189d1ca node_type=claim\nt=0012 ASSERT_ROOT node=n_91f4c25064f1 value=TRUE\nt=0013 ADD_EDGE edge_id=e_7b0735116754 source=n_86be55465a4d edge_type=supports target=n_70fe6f308ca1\nt=0014 ADD_EDGE edge_id=e_de18180f5a4a source=n_419edc545447 edge_type=refutes target=n_14f979d61e3c\nt=0015 ADD_EDGE edge_id=e_1a4146fb2ee3 source=n_419edc545447 edge_type=refutes target=n_47763bbcaeb6\nt=0016 ADD_EDGE edge_id=e_79ef7e838d4e source=n_0c68a189d1ca edge_type=refutes target=n_86be55465a4d\nt=0017 ADD_EDGE edge_id=e_3fe3fa85566d source=n_91f4c25064f1 edge_type=supports target=n_192e8e2ed639\nt=0018 ADD_EDGE edge_id=e_4489b8a2d6bb source=n_91f4c25064f1 edge_type=supports target=n_419edc545447\nt=0019 ADD_EDGE edge_id=e_e18c95a6d554 source=n_91f4c25064f1 edge_type=refutes target=n_c4f364a0c79b\nt=0020 ADD_EDGE edge_id=e_2ff791ed0ea2 source=n_dd73d4f46910 edge_type=refutes target=n_0c68a189d1ca\nt=0021 ADD_EDGE edge_id=e_8cf00f4acb35 source=n_dd73d4f46910 edge_type=supports target=n_a8688060b8c8\nt=0022 ADD_EDGE edge_id=e_11f0fcfbe6e8 source=n_0c68a189d1ca edge_type=supports target=n_c451cf4188a5\nt=0023 QUERY source=n_91f4c25064f1 target=n_419edc545447\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1184,"provenance":{"base_record_id":"train-d01-044","dataset":"livegraph-deterministic-parity-v3","depth":1,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d01-044","split":"train","variant":"clean"},"record_seed":761614484757625205,"render_sha256":"fc83ad9df9f294f2bfd1004752e72fc9301bdb81c157f9baf4e51d724ed0d5c7","representation":"linear_trace","semantic_sha256":"ab55c432d4e9895f2f8b0071999158cc7acab3fcddb843282d4bb656077b570a"}
{"char_count":2303,"item_id":"train-d01-045::linear_trace","label":"FALSE","lexical_token_proxy_count":400,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_6597914d21eb node_type=claim\nt=0001 CREATE_NODE id=n_06b2f6ffe713 node_type=claim\nt=0002 CREATE_NODE id=n_b1185e1e796b node_type=claim\nt=0003 CREATE_NODE id=n_6d15b9907eaf node_type=claim\nt=0004 CREATE_NODE id=n_8bfee2d456ff node_type=claim\nt=0005 CREATE_NODE id=n_797409d93760 node_type=claim\nt=0006 CREATE_NODE id=n_8b60d935ccbd node_type=claim\nt=0007 CREATE_NODE id=n_cf5096f46531 node_type=claim\nt=0008 CREATE_NODE id=n_378b3d03d341 node_type=claim\nt=0009 CREATE_NODE id=n_e1ff9f3f44d6 node_type=claim\nt=0010 CREATE_NODE id=n_284d72ef9358 node_type=claim\nt=0011 CREATE_NODE id=n_3ed9b2fdc199 node_type=claim\nt=0012 ASSERT_ROOT node=n_3ed9b2fdc199 value=TRUE\nt=0013 ADD_EDGE edge_id=e_5887600f6702 source=n_e1ff9f3f44d6 edge_type=refutes target=n_797409d93760\nt=0014 ADD_EDGE edge_id=e_6847a2fa16a9 source=n_6d15b9907eaf edge_type=supports target=n_6597914d21eb\nt=0015 ADD_EDGE edge_id=e_5a7d0184d165 source=n_e1ff9f3f44d6 edge_type=supports target=n_6d15b9907eaf\nt=0016 ADD_EDGE edge_id=e_3be10ce94308 source=n_3ed9b2fdc199 edge_type=refutes target=n_8bfee2d456ff\nt=0017 ADD_EDGE edge_id=e_449750d3dd3b source=n_3ed9b2fdc199 edge_type=supports target=n_06b2f6ffe713\nt=0018 ADD_EDGE edge_id=e_4c6c60d4b599 source=n_3ed9b2fdc199 edge_type=refutes target=n_cf5096f46531\nt=0019 ADD_EDGE edge_id=e_b61716d6e80a source=n_6d15b9907eaf edge_type=supports target=n_b1185e1e796b\nt=0020 ADD_EDGE edge_id=e_b9cd642d5d70 source=n_8bfee2d456ff edge_type=refutes target=n_378b3d03d341\nt=0021 ADD_EDGE edge_id=e_d6ebd88b1df0 source=n_3ed9b2fdc199 edge_type=refutes target=n_8b60d935ccbd\nt=0022 ADD_EDGE edge_id=e_8bca7d3d003f source=n_797409d93760 edge_type=supports target=n_284d72ef9358\nt=0023 QUERY source=n_3ed9b2fdc199 target=n_8bfee2d456ff\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1171,"provenance":{"base_record_id":"train-d01-045","dataset":"livegraph-deterministic-parity-v3","depth":1,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d01-045","split":"train","variant":"clean"},"record_seed":908276152491728039,"render_sha256":"2eddb4a3f816bbe17034f9e6596ca25c9e39c27bd02841ce1751088e7dda1ca9","representation":"linear_trace","semantic_sha256":"d588e8e12091d0bf4cd753841d028d94b322e61d887b4d335ad888b1d9bc1631"}
{"char_count":2304,"item_id":"train-d01-046::linear_trace","label":"TRUE","lexical_token_proxy_count":400,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_1b20a95ce171 node_type=claim\nt=0001 CREATE_NODE id=n_391ac6e468d3 node_type=claim\nt=0002 CREATE_NODE id=n_cc2edad0ef1f node_type=claim\nt=0003 CREATE_NODE id=n_d1a3106ff08c node_type=claim\nt=0004 CREATE_NODE id=n_6a25fd4d0a33 node_type=claim\nt=0005 CREATE_NODE id=n_3fc4b0eb5511 node_type=claim\nt=0006 CREATE_NODE id=n_90d06adf2995 node_type=claim\nt=0007 CREATE_NODE id=n_c301eadae491 node_type=claim\nt=0008 CREATE_NODE id=n_56efed7f99c6 node_type=claim\nt=0009 CREATE_NODE id=n_1bc261b0a8b6 node_type=claim\nt=0010 CREATE_NODE id=n_fec4e8e55f29 node_type=claim\nt=0011 CREATE_NODE id=n_a977caac6a44 node_type=claim\nt=0012 ASSERT_ROOT node=n_90d06adf2995 value=FALSE\nt=0013 ADD_EDGE edge_id=e_7bd6a870bb68 source=n_fec4e8e55f29 edge_type=supports target=n_cc2edad0ef1f\nt=0014 ADD_EDGE edge_id=e_b5d1e35c3be6 source=n_90d06adf2995 edge_type=refutes target=n_c301eadae491\nt=0015 ADD_EDGE edge_id=e_a1a8f77e4478 source=n_3fc4b0eb5511 edge_type=refutes target=n_56efed7f99c6\nt=0016 ADD_EDGE edge_id=e_ba6820c35948 source=n_90d06adf2995 edge_type=refutes target=n_fec4e8e55f29\nt=0017 ADD_EDGE edge_id=e_695f160b4ce4 source=n_90d06adf2995 edge_type=refutes target=n_6a25fd4d0a33\nt=0018 ADD_EDGE edge_id=e_da94e1c6424d source=n_1bc261b0a8b6 edge_type=supports target=n_391ac6e468d3\nt=0019 ADD_EDGE edge_id=e_9847f6c0a6be source=n_3fc4b0eb5511 edge_type=supports target=n_d1a3106ff08c\nt=0020 ADD_EDGE edge_id=e_c847e3b19a8d source=n_90d06adf2995 edge_type=refutes target=n_a977caac6a44\nt=0021 ADD_EDGE edge_id=e_c0db97ab2de3 source=n_56efed7f99c6 edge_type=supports target=n_1bc261b0a8b6\nt=0022 ADD_EDGE edge_id=e_bff68e41a187 source=n_d1a3106ff08c edge_type=supports target=n_1b20a95ce171\nt=0023 QUERY source=n_90d06adf2995 target=n_fec4e8e55f29\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1155,"provenance":{"base_record_id":"train-d01-046","dataset":"livegraph-deterministic-parity-v3","depth":1,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d01-046","split":"train","variant":"clean"},"record_seed":280186192113007555,"render_sha256":"4364a3181c112ee1ddb7313c191cde06837f2226873c67541f3209f46cbd2798","representation":"linear_trace","semantic_sha256":"b01198bbb36ae27aa9c628045b244c1ac2b70a11f75c67dcc511e7d43d591f3a"}
{"char_count":2304,"item_id":"train-d01-047::linear_trace","label":"FALSE","lexical_token_proxy_count":400,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_c9b8ec449247 node_type=claim\nt=0001 CREATE_NODE id=n_61b1f3828afd node_type=claim\nt=0002 CREATE_NODE id=n_670fbcb720b4 node_type=claim\nt=0003 CREATE_NODE id=n_0ff02febd2b1 node_type=claim\nt=0004 CREATE_NODE id=n_f4315e020e38 node_type=claim\nt=0005 CREATE_NODE id=n_9a25aab6462e node_type=claim\nt=0006 CREATE_NODE id=n_c244dff1edc0 node_type=claim\nt=0007 CREATE_NODE id=n_26171097e71b node_type=claim\nt=0008 CREATE_NODE id=n_a73442373e83 node_type=claim\nt=0009 CREATE_NODE id=n_6746e0f10049 node_type=claim\nt=0010 CREATE_NODE id=n_e9f54789abb8 node_type=claim\nt=0011 CREATE_NODE id=n_fa522261d5a1 node_type=claim\nt=0012 ASSERT_ROOT node=n_61b1f3828afd value=FALSE\nt=0013 ADD_EDGE edge_id=e_ce39164a3caa source=n_6746e0f10049 edge_type=refutes target=n_a73442373e83\nt=0014 ADD_EDGE edge_id=e_6585a3b409b9 source=n_9a25aab6462e edge_type=refutes target=n_f4315e020e38\nt=0015 ADD_EDGE edge_id=e_d2f894f2b899 source=n_c9b8ec449247 edge_type=supports target=n_6746e0f10049\nt=0016 ADD_EDGE edge_id=e_b335a7b2bdd0 source=n_9a25aab6462e edge_type=supports target=n_c244dff1edc0\nt=0017 ADD_EDGE edge_id=e_febd70300eab source=n_61b1f3828afd edge_type=refutes target=n_fa522261d5a1\nt=0018 ADD_EDGE edge_id=e_fdb12f69f423 source=n_c9b8ec449247 edge_type=refutes target=n_0ff02febd2b1\nt=0019 ADD_EDGE edge_id=e_e156a9f8a635 source=n_a73442373e83 edge_type=supports target=n_670fbcb720b4\nt=0020 ADD_EDGE edge_id=e_61ef9ade3289 source=n_9a25aab6462e edge_type=supports target=n_e9f54789abb8\nt=0021 ADD_EDGE edge_id=e_d85a685ad893 source=n_61b1f3828afd edge_type=supports target=n_9a25aab6462e\nt=0022 ADD_EDGE edge_id=e_bb7525e0fe5e source=n_c9b8ec449247 edge_type=refutes target=n_26171097e71b\nt=0023 QUERY source=n_61b1f3828afd target=n_9a25aab6462e\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1172,"provenance":{"base_record_id":"train-d01-047","dataset":"livegraph-deterministic-parity-v3","depth":1,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d01-047","split":"train","variant":"clean"},"record_seed":465474013512133800,"render_sha256":"e215f06874653e7c1f8bf0dce7b4e86d030cef58718e9e810771e965382a4477","representation":"linear_trace","semantic_sha256":"cd89f9c94b1bfad69ec45f8f5b79f0f76cfc4a9abc1069e36f2170c4668d72bf"}
{"char_count":2612,"item_id":"train-d02-000::linear_trace","label":"TRUE","lexical_token_proxy_count":452,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_fadee1b80c7b node_type=claim\nt=0001 CREATE_NODE id=n_edd41684e97a node_type=claim\nt=0002 CREATE_NODE id=n_d1968488762e node_type=claim\nt=0003 CREATE_NODE id=n_4626211ae56a node_type=claim\nt=0004 CREATE_NODE id=n_1c0dc1b0d0c0 node_type=claim\nt=0005 CREATE_NODE id=n_231359e82f5a node_type=claim\nt=0006 CREATE_NODE id=n_3c92b6ad0f06 node_type=claim\nt=0007 CREATE_NODE id=n_6e2161de9490 node_type=claim\nt=0008 CREATE_NODE id=n_7b1a257c194c node_type=claim\nt=0009 CREATE_NODE id=n_b01ee6de60c5 node_type=claim\nt=0010 CREATE_NODE id=n_5de2d90e8b8b node_type=claim\nt=0011 CREATE_NODE id=n_354991989c67 node_type=claim\nt=0012 CREATE_NODE id=n_de8f45e22f79 node_type=claim\nt=0013 CREATE_NODE id=n_3c24da18aaf8 node_type=claim\nt=0014 ASSERT_ROOT node=n_3c24da18aaf8 value=TRUE\nt=0015 ADD_EDGE edge_id=e_b43175d246af source=n_b01ee6de60c5 edge_type=refutes target=n_7b1a257c194c\nt=0016 ADD_EDGE edge_id=e_4837ab059c01 source=n_edd41684e97a edge_type=supports target=n_5de2d90e8b8b\nt=0017 ADD_EDGE edge_id=e_062e5a970400 source=n_3c24da18aaf8 edge_type=refutes target=n_4626211ae56a\nt=0018 ADD_EDGE edge_id=e_c006dfcdcbb5 source=n_1c0dc1b0d0c0 edge_type=supports target=n_fadee1b80c7b\nt=0019 ADD_EDGE edge_id=e_a02e5113a11c source=n_edd41684e97a edge_type=supports target=n_b01ee6de60c5\nt=0020 ADD_EDGE edge_id=e_3e0c6a82e0d4 source=n_d1968488762e edge_type=refutes target=n_1c0dc1b0d0c0\nt=0021 ADD_EDGE edge_id=e_b1cb862c3d92 source=n_3c24da18aaf8 edge_type=refutes target=n_354991989c67\nt=0022 ADD_EDGE edge_id=e_5044278307b1 source=n_231359e82f5a edge_type=refutes target=n_3c92b6ad0f06\nt=0023 ADD_EDGE edge_id=e_f2f8a4cf8f3b source=n_d1968488762e edge_type=supports target=n_de8f45e22f79\nt=0024 ADD_EDGE edge_id=e_35f73392e7d0 source=n_d1968488762e edge_type=supports target=n_6e2161de9490\nt=0025 ADD_EDGE edge_id=e_34c5c05d327a source=n_3c24da18aaf8 edge_type=supports target=n_edd41684e97a\nt=0026 ADD_EDGE edge_id=e_d8589d357409 source=n_d1968488762e edge_type=refutes target=n_231359e82f5a\nt=0027 QUERY source=n_3c24da18aaf8 target=n_b01ee6de60c5\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1359,"provenance":{"base_record_id":"train-d02-000","dataset":"livegraph-deterministic-parity-v3","depth":2,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d02-000","split":"train","variant":"clean"},"record_seed":681256908672653264,"render_sha256":"c9a7a752f2126c7facd53acad8e4bb47b3b111d3ad8509dda57d2d7885e57829","representation":"linear_trace","semantic_sha256":"b76891889dc23b7f0e2fc8a8d9f9683752d114063d6406481fe7d5c53f047a80"}
{"char_count":2612,"item_id":"train-d02-001::linear_trace","label":"FALSE","lexical_token_proxy_count":452,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_88dfd3844a5c node_type=claim\nt=0001 CREATE_NODE id=n_4a05da8f94a7 node_type=claim\nt=0002 CREATE_NODE id=n_e7b097b81613 node_type=claim\nt=0003 CREATE_NODE id=n_63243d043132 node_type=claim\nt=0004 CREATE_NODE id=n_3c48e6edf038 node_type=claim\nt=0005 CREATE_NODE id=n_1705179e238d node_type=claim\nt=0006 CREATE_NODE id=n_ac6c36354aee node_type=claim\nt=0007 CREATE_NODE id=n_25bb513f222e node_type=claim\nt=0008 CREATE_NODE id=n_d320be4dd6e0 node_type=claim\nt=0009 CREATE_NODE id=n_50a034dd84fd node_type=claim\nt=0010 CREATE_NODE id=n_6375accc9fc6 node_type=claim\nt=0011 CREATE_NODE id=n_b53f53de8e4d node_type=claim\nt=0012 CREATE_NODE id=n_521afb1fa9f6 node_type=claim\nt=0013 CREATE_NODE id=n_9f4e3ecbf8ef node_type=claim\nt=0014 ASSERT_ROOT node=n_63243d043132 value=TRUE\nt=0015 ADD_EDGE edge_id=e_0da9e1e8bc03 source=n_521afb1fa9f6 edge_type=refutes target=n_1705179e238d\nt=0016 ADD_EDGE edge_id=e_339313ea6eb7 source=n_50a034dd84fd edge_type=supports target=n_ac6c36354aee\nt=0017 ADD_EDGE edge_id=e_b0ce504f5b2f source=n_63243d043132 edge_type=supports target=n_521afb1fa9f6\nt=0018 ADD_EDGE edge_id=e_e162a28e6db2 source=n_e7b097b81613 edge_type=supports target=n_50a034dd84fd\nt=0019 ADD_EDGE edge_id=e_cd078729f93c source=n_e7b097b81613 edge_type=supports target=n_9f4e3ecbf8ef\nt=0020 ADD_EDGE edge_id=e_391dc06459c6 source=n_ac6c36354aee edge_type=supports target=n_88dfd3844a5c\nt=0021 ADD_EDGE edge_id=e_5b67c1b634ab source=n_1705179e238d edge_type=refutes target=n_b53f53de8e4d\nt=0022 ADD_EDGE edge_id=e_2a9cd1188563 source=n_1705179e238d edge_type=refutes target=n_6375accc9fc6\nt=0023 ADD_EDGE edge_id=e_b48d083c894b source=n_1705179e238d edge_type=refutes target=n_d320be4dd6e0\nt=0024 ADD_EDGE edge_id=e_6192136438a0 source=n_ac6c36354aee edge_type=refutes target=n_25bb513f222e\nt=0025 ADD_EDGE edge_id=e_ef8b5de0be79 source=n_ac6c36354aee edge_type=refutes target=n_4a05da8f94a7\nt=0026 ADD_EDGE edge_id=e_c164f99f6d4f source=n_521afb1fa9f6 edge_type=supports target=n_3c48e6edf038\nt=0027 QUERY source=n_63243d043132 target=n_1705179e238d\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1355,"provenance":{"base_record_id":"train-d02-001","dataset":"livegraph-deterministic-parity-v3","depth":2,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d02-001","split":"train","variant":"clean"},"record_seed":703362553551167106,"render_sha256":"7a343a3efb18a36f59f9106a278eb47e72ef31ed6bd2f823aa903bc16d1f19e0","representation":"linear_trace","semantic_sha256":"4338e2c9cdcb864128f8008eb518f6c1f4947105c4a11caa9497a02e06ec4635"}
{"char_count":2613,"item_id":"train-d02-002::linear_trace","label":"TRUE","lexical_token_proxy_count":452,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_feffd00d5bdf node_type=claim\nt=0001 CREATE_NODE id=n_dd1b56f1b37a node_type=claim\nt=0002 CREATE_NODE id=n_05ada57f4eb5 node_type=claim\nt=0003 CREATE_NODE id=n_342fe5bd1542 node_type=claim\nt=0004 CREATE_NODE id=n_025328369eee node_type=claim\nt=0005 CREATE_NODE id=n_e4cd67531c75 node_type=claim\nt=0006 CREATE_NODE id=n_4a5a25afa46d node_type=claim\nt=0007 CREATE_NODE id=n_d4903995d54f node_type=claim\nt=0008 CREATE_NODE id=n_d20d27d58fb1 node_type=claim\nt=0009 CREATE_NODE id=n_f7e270b1caf0 node_type=claim\nt=0010 CREATE_NODE id=n_de80cc2d8760 node_type=claim\nt=0011 CREATE_NODE id=n_b990f3e88435 node_type=claim\nt=0012 CREATE_NODE id=n_f7cf9a954fdc node_type=claim\nt=0013 CREATE_NODE id=n_f9849ee47b7a node_type=claim\nt=0014 ASSERT_ROOT node=n_342fe5bd1542 value=FALSE\nt=0015 ADD_EDGE edge_id=e_442c3851604b source=n_d20d27d58fb1 edge_type=supports target=n_feffd00d5bdf\nt=0016 ADD_EDGE edge_id=e_fedf7e4a8cb7 source=n_f7e270b1caf0 edge_type=refutes target=n_05ada57f4eb5\nt=0017 ADD_EDGE edge_id=e_e574928ee8a3 source=n_4a5a25afa46d edge_type=supports target=n_e4cd67531c75\nt=0018 ADD_EDGE edge_id=e_a1347a7bb310 source=n_f9849ee47b7a edge_type=refutes target=n_025328369eee\nt=0019 ADD_EDGE edge_id=e_53e53732092a source=n_d20d27d58fb1 edge_type=refutes target=n_de80cc2d8760\nt=0020 ADD_EDGE edge_id=e_4b005daf6993 source=n_025328369eee edge_type=refutes target=n_d4903995d54f\nt=0021 ADD_EDGE edge_id=e_57e15ef6cb34 source=n_f7e270b1caf0 edge_type=supports target=n_f9849ee47b7a\nt=0022 ADD_EDGE edge_id=e_b81f8c6927b4 source=n_342fe5bd1542 edge_type=refutes target=n_d20d27d58fb1\nt=0023 ADD_EDGE edge_id=e_88ea90b6fe5b source=n_d20d27d58fb1 edge_type=supports target=n_4a5a25afa46d\nt=0024 ADD_EDGE edge_id=e_ec0baab2685b source=n_f7e270b1caf0 edge_type=supports target=n_b990f3e88435\nt=0025 ADD_EDGE edge_id=e_cb3bcfaa318c source=n_d20d27d58fb1 edge_type=refutes target=n_f7cf9a954fdc\nt=0026 ADD_EDGE edge_id=e_c92665686462 source=n_f7e270b1caf0 edge_type=supports target=n_dd1b56f1b37a\nt=0027 QUERY source=n_342fe5bd1542 target=n_4a5a25afa46d\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1335,"provenance":{"base_record_id":"train-d02-002","dataset":"livegraph-deterministic-parity-v3","depth":2,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d02-002","split":"train","variant":"clean"},"record_seed":285945003550648493,"render_sha256":"52f3bd888cedc080258321ca17dfd7c012eba29b71e543156c7467e2bd908946","representation":"linear_trace","semantic_sha256":"c37a75ea3e6442ca20a02e24c0759b93690b67f6df9cb2635d01496d810cd67a"}
{"char_count":2613,"item_id":"train-d02-003::linear_trace","label":"FALSE","lexical_token_proxy_count":452,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_f0c2c453307a node_type=claim\nt=0001 CREATE_NODE id=n_98b7817ee500 node_type=claim\nt=0002 CREATE_NODE id=n_79d6bba13a39 node_type=claim\nt=0003 CREATE_NODE id=n_9274ad11736c node_type=claim\nt=0004 CREATE_NODE id=n_281b80989966 node_type=claim\nt=0005 CREATE_NODE id=n_8db5d9274df1 node_type=claim\nt=0006 CREATE_NODE id=n_9f14c281d036 node_type=claim\nt=0007 CREATE_NODE id=n_96fdef8a4fb1 node_type=claim\nt=0008 CREATE_NODE id=n_0341c150a337 node_type=claim\nt=0009 CREATE_NODE id=n_e090c5b15393 node_type=claim\nt=0010 CREATE_NODE id=n_ee004038a9ff node_type=claim\nt=0011 CREATE_NODE id=n_938116481712 node_type=claim\nt=0012 CREATE_NODE id=n_08db2eb0ac7f node_type=claim\nt=0013 CREATE_NODE id=n_c514674ef13d node_type=claim\nt=0014 ASSERT_ROOT node=n_938116481712 value=FALSE\nt=0015 ADD_EDGE edge_id=e_2ccd19419cbd source=n_98b7817ee500 edge_type=refutes target=n_9f14c281d036\nt=0016 ADD_EDGE edge_id=e_375356a130d5 source=n_ee004038a9ff edge_type=supports target=n_98b7817ee500\nt=0017 ADD_EDGE edge_id=e_7cfcc790953b source=n_0341c150a337 edge_type=refutes target=n_c514674ef13d\nt=0018 ADD_EDGE edge_id=e_5f324326aa38 source=n_9274ad11736c edge_type=refutes target=n_96fdef8a4fb1\nt=0019 ADD_EDGE edge_id=e_3828a008a1ce source=n_9274ad11736c edge_type=supports target=n_0341c150a337\nt=0020 ADD_EDGE edge_id=e_dbefbb3e797f source=n_98b7817ee500 edge_type=supports target=n_8db5d9274df1\nt=0021 ADD_EDGE edge_id=e_ca8702d43f07 source=n_9274ad11736c edge_type=refutes target=n_281b80989966\nt=0022 ADD_EDGE edge_id=e_4c34995b78e4 source=n_938116481712 edge_type=supports target=n_ee004038a9ff\nt=0023 ADD_EDGE edge_id=e_df3208c2625f source=n_938116481712 edge_type=refutes target=n_08db2eb0ac7f\nt=0024 ADD_EDGE edge_id=e_ce6c673d26f4 source=n_281b80989966 edge_type=supports target=n_79d6bba13a39\nt=0025 ADD_EDGE edge_id=e_75c1d5ee9b84 source=n_9274ad11736c edge_type=supports target=n_e090c5b15393\nt=0026 ADD_EDGE edge_id=e_c36e5057b0ed source=n_ee004038a9ff edge_type=refutes target=n_f0c2c453307a\nt=0027 QUERY source=n_938116481712 target=n_98b7817ee500\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1366,"provenance":{"base_record_id":"train-d02-003","dataset":"livegraph-deterministic-parity-v3","depth":2,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d02-003","split":"train","variant":"clean"},"record_seed":795394911499167980,"render_sha256":"9038c5f7411ac6bc5d55d64289868d10f83ad0c7cdc1fbf0c900f1fb48f4d86b","representation":"linear_trace","semantic_sha256":"01c745184e1ea905cdf8ee2169777423ebf3a3c8a82ebeed35c5c80c33ae7f8b"}
{"char_count":2612,"item_id":"train-d02-004::linear_trace","label":"TRUE","lexical_token_proxy_count":452,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_689944644c02 node_type=claim\nt=0001 CREATE_NODE id=n_98340247f084 node_type=claim\nt=0002 CREATE_NODE id=n_7b39ab5cd61b node_type=claim\nt=0003 CREATE_NODE id=n_756e6f3867c5 node_type=claim\nt=0004 CREATE_NODE id=n_0de177526edd node_type=claim\nt=0005 CREATE_NODE id=n_a70c44f1e66f node_type=claim\nt=0006 CREATE_NODE id=n_032718c7fa36 node_type=claim\nt=0007 CREATE_NODE id=n_08f3abf90035 node_type=claim\nt=0008 CREATE_NODE id=n_e2b7fb2a6125 node_type=claim\nt=0009 CREATE_NODE id=n_856b04c8231b node_type=claim\nt=0010 CREATE_NODE id=n_e9df1a83d780 node_type=claim\nt=0011 CREATE_NODE id=n_48f8df66f30c node_type=claim\nt=0012 CREATE_NODE id=n_7f22eec9ed35 node_type=claim\nt=0013 CREATE_NODE id=n_4dbeeec8383d node_type=claim\nt=0014 ASSERT_ROOT node=n_0de177526edd value=TRUE\nt=0015 ADD_EDGE edge_id=e_5730567cdd03 source=n_7f22eec9ed35 edge_type=refutes target=n_7b39ab5cd61b\nt=0016 ADD_EDGE edge_id=e_38b306842c72 source=n_98340247f084 edge_type=supports target=n_48f8df66f30c\nt=0017 ADD_EDGE edge_id=e_391bd91694ff source=n_856b04c8231b edge_type=supports target=n_a70c44f1e66f\nt=0018 ADD_EDGE edge_id=e_4392bb80c8e4 source=n_a70c44f1e66f edge_type=refutes target=n_08f3abf90035\nt=0019 ADD_EDGE edge_id=e_b63a2f0bd06b source=n_e2b7fb2a6125 edge_type=refutes target=n_856b04c8231b\nt=0020 ADD_EDGE edge_id=e_e3daffc887c4 source=n_7b39ab5cd61b edge_type=supports target=n_756e6f3867c5\nt=0021 ADD_EDGE edge_id=e_7216708774ad source=n_0de177526edd edge_type=refutes target=n_032718c7fa36\nt=0022 ADD_EDGE edge_id=e_4fa56081e50b source=n_a70c44f1e66f edge_type=supports target=n_98340247f084\nt=0023 ADD_EDGE edge_id=e_64240e244c97 source=n_98340247f084 edge_type=supports target=n_e9df1a83d780\nt=0024 ADD_EDGE edge_id=e_94bb205d1aed source=n_7f22eec9ed35 edge_type=refutes target=n_4dbeeec8383d\nt=0025 ADD_EDGE edge_id=e_82377ea6235f source=n_0de177526edd edge_type=refutes target=n_7f22eec9ed35\nt=0026 ADD_EDGE edge_id=e_2b6c15e2b6f4 source=n_7b39ab5cd61b edge_type=supports target=n_689944644c02\nt=0027 QUERY source=n_0de177526edd target=n_7b39ab5cd61b\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1359,"provenance":{"base_record_id":"train-d02-004","dataset":"livegraph-deterministic-parity-v3","depth":2,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d02-004","split":"train","variant":"clean"},"record_seed":734595264907152124,"render_sha256":"741c2c7865479084a69c0c906e3c407d042660ff326710d4a20f26b4e8323f6d","representation":"linear_trace","semantic_sha256":"830e23a1ae5121391c9085ca12955370d89ddc9bf3b97c33ad8f5d380becca23"}
{"char_count":2612,"item_id":"train-d02-005::linear_trace","label":"FALSE","lexical_token_proxy_count":452,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_7674ebce16e1 node_type=claim\nt=0001 CREATE_NODE id=n_caf0ffb94c2c node_type=claim\nt=0002 CREATE_NODE id=n_72b620bebc86 node_type=claim\nt=0003 CREATE_NODE id=n_ff36f493771a node_type=claim\nt=0004 CREATE_NODE id=n_e2bcdca77f5c node_type=claim\nt=0005 CREATE_NODE id=n_1bb1e7eac681 node_type=claim\nt=0006 CREATE_NODE id=n_98151fc51141 node_type=claim\nt=0007 CREATE_NODE id=n_cd4819e3d6e5 node_type=claim\nt=0008 CREATE_NODE id=n_7c3af4e2de74 node_type=claim\nt=0009 CREATE_NODE id=n_b1d482b63334 node_type=claim\nt=0010 CREATE_NODE id=n_fcc2ce6feb72 node_type=claim\nt=0011 CREATE_NODE id=n_1e2567020fdc node_type=claim\nt=0012 CREATE_NODE id=n_444a03509fbb node_type=claim\nt=0013 CREATE_NODE id=n_eb032b226d90 node_type=claim\nt=0014 ASSERT_ROOT node=n_eb032b226d90 value=TRUE\nt=0015 ADD_EDGE edge_id=e_6f66f0beb2a6 source=n_caf0ffb94c2c edge_type=refutes target=n_cd4819e3d6e5\nt=0016 ADD_EDGE edge_id=e_f97981aaa0ef source=n_caf0ffb94c2c edge_type=supports target=n_fcc2ce6feb72\nt=0017 ADD_EDGE edge_id=e_4d1f774b7ae4 source=n_fcc2ce6feb72 edge_type=refutes target=n_444a03509fbb\nt=0018 ADD_EDGE edge_id=e_565c3380c2a5 source=n_98151fc51141 edge_type=refutes target=n_caf0ffb94c2c\nt=0019 ADD_EDGE edge_id=e_cbfcd279ec8b source=n_eb032b226d90 edge_type=supports target=n_1e2567020fdc\nt=0020 ADD_EDGE edge_id=e_fb781d83f531 source=n_eb032b226d90 edge_type=refutes target=n_7c3af4e2de74\nt=0021 ADD_EDGE edge_id=e_8a05947c2b1f source=n_ff36f493771a edge_type=refutes target=n_b1d482b63334\nt=0022 ADD_EDGE edge_id=e_730dee5929f2 source=n_caf0ffb94c2c edge_type=supports target=n_7674ebce16e1\nt=0023 ADD_EDGE edge_id=e_81f281b93ec3 source=n_fcc2ce6feb72 edge_type=supports target=n_72b620bebc86\nt=0024 ADD_EDGE edge_id=e_58ef7703f0e5 source=n_7c3af4e2de74 edge_type=supports target=n_ff36f493771a\nt=0025 ADD_EDGE edge_id=e_10e0356e31f3 source=n_ff36f493771a edge_type=supports target=n_1bb1e7eac681\nt=0026 ADD_EDGE edge_id=e_74afb254ecc2 source=n_7c3af4e2de74 edge_type=refutes target=n_e2bcdca77f5c\nt=0027 QUERY source=n_eb032b226d90 target=n_ff36f493771a\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1328,"provenance":{"base_record_id":"train-d02-005","dataset":"livegraph-deterministic-parity-v3","depth":2,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d02-005","split":"train","variant":"clean"},"record_seed":145736687409510576,"render_sha256":"ea0e42bc94ebcb60c40331e84c26b5032224bd46703af3e88ad6a399ba7fd291","representation":"linear_trace","semantic_sha256":"99e232d9b9db049bf7aeb9e176198c5a88b8106ca9e161ed402fedf52808c3ee"}
{"char_count":2613,"item_id":"train-d02-006::linear_trace","label":"TRUE","lexical_token_proxy_count":452,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_99ecc9665ab9 node_type=claim\nt=0001 CREATE_NODE id=n_3f45c46761b8 node_type=claim\nt=0002 CREATE_NODE id=n_03798dffed83 node_type=claim\nt=0003 CREATE_NODE id=n_5abaf780c9bd node_type=claim\nt=0004 CREATE_NODE id=n_0cf143cc1e21 node_type=claim\nt=0005 CREATE_NODE id=n_37534026384a node_type=claim\nt=0006 CREATE_NODE id=n_2b725d8813c4 node_type=claim\nt=0007 CREATE_NODE id=n_a5fdbfd95ad6 node_type=claim\nt=0008 CREATE_NODE id=n_fdda06b01d3b node_type=claim\nt=0009 CREATE_NODE id=n_285801b23801 node_type=claim\nt=0010 CREATE_NODE id=n_470067c29e10 node_type=claim\nt=0011 CREATE_NODE id=n_9979ee0a69a2 node_type=claim\nt=0012 CREATE_NODE id=n_8e767a294ff8 node_type=claim\nt=0013 CREATE_NODE id=n_0835a005c693 node_type=claim\nt=0014 ASSERT_ROOT node=n_0cf143cc1e21 value=FALSE\nt=0015 ADD_EDGE edge_id=e_5df2bc238796 source=n_0cf143cc1e21 edge_type=supports target=n_2b725d8813c4\nt=0016 ADD_EDGE edge_id=e_ebda6931ab00 source=n_0cf143cc1e21 edge_type=supports target=n_03798dffed83\nt=0017 ADD_EDGE edge_id=e_e0a177c47d59 source=n_9979ee0a69a2 edge_type=refutes target=n_470067c29e10\nt=0018 ADD_EDGE edge_id=e_e8959bf16f2f source=n_9979ee0a69a2 edge_type=supports target=n_8e767a294ff8\nt=0019 ADD_EDGE edge_id=e_263a7fac5f57 source=n_2b725d8813c4 edge_type=refutes target=n_285801b23801\nt=0020 ADD_EDGE edge_id=e_3e244de12e3b source=n_fdda06b01d3b edge_type=supports target=n_99ecc9665ab9\nt=0021 ADD_EDGE edge_id=e_7222cdfe0ba7 source=n_2b725d8813c4 edge_type=refutes target=n_fdda06b01d3b\nt=0022 ADD_EDGE edge_id=e_8bdc6afafd07 source=n_2b725d8813c4 edge_type=supports target=n_a5fdbfd95ad6\nt=0023 ADD_EDGE edge_id=e_a1cd2563e171 source=n_9979ee0a69a2 edge_type=supports target=n_3f45c46761b8\nt=0024 ADD_EDGE edge_id=e_7b979dfff02c source=n_9979ee0a69a2 edge_type=refutes target=n_0835a005c693\nt=0025 ADD_EDGE edge_id=e_ee079f03569d source=n_0835a005c693 edge_type=refutes target=n_5abaf780c9bd\nt=0026 ADD_EDGE edge_id=e_3ec894ed950e source=n_0835a005c693 edge_type=refutes target=n_37534026384a\nt=0027 QUERY source=n_0cf143cc1e21 target=n_fdda06b01d3b\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1351,"provenance":{"base_record_id":"train-d02-006","dataset":"livegraph-deterministic-parity-v3","depth":2,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d02-006","split":"train","variant":"clean"},"record_seed":351603317955051769,"render_sha256":"bf0dac2f1b8f4609fa8d316d0a5b1c2e10eff60f78b0c9220bd3a7534ae91815","representation":"linear_trace","semantic_sha256":"f0dfbe425a5e88dc6bf2eff19b2c45909be16c1056dfae13cf8d566466255922"}
{"char_count":2613,"item_id":"train-d02-007::linear_trace","label":"FALSE","lexical_token_proxy_count":452,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_448e9bbc66e4 node_type=claim\nt=0001 CREATE_NODE id=n_1cabf69c728d node_type=claim\nt=0002 CREATE_NODE id=n_9267769a9583 node_type=claim\nt=0003 CREATE_NODE id=n_d262b18968d8 node_type=claim\nt=0004 CREATE_NODE id=n_fdfb0d13a109 node_type=claim\nt=0005 CREATE_NODE id=n_5b0a03d1cd21 node_type=claim\nt=0006 CREATE_NODE id=n_62e675cb485f node_type=claim\nt=0007 CREATE_NODE id=n_14978bda7a5b node_type=claim\nt=0008 CREATE_NODE id=n_410a52e6bdf6 node_type=claim\nt=0009 CREATE_NODE id=n_7cab03df4c84 node_type=claim\nt=0010 CREATE_NODE id=n_65c5d932430b node_type=claim\nt=0011 CREATE_NODE id=n_3140a4e81196 node_type=claim\nt=0012 CREATE_NODE id=n_c23762fd8d4e node_type=claim\nt=0013 CREATE_NODE id=n_8256a9ebd08d node_type=claim\nt=0014 ASSERT_ROOT node=n_8256a9ebd08d value=FALSE\nt=0015 ADD_EDGE edge_id=e_04fb86d127d3 source=n_1cabf69c728d edge_type=supports target=n_7cab03df4c84\nt=0016 ADD_EDGE edge_id=e_f2bae657e518 source=n_1cabf69c728d edge_type=refutes target=n_d262b18968d8\nt=0017 ADD_EDGE edge_id=e_742c336ff2ae source=n_1cabf69c728d edge_type=refutes target=n_62e675cb485f\nt=0018 ADD_EDGE edge_id=e_ad3af6310336 source=n_d262b18968d8 edge_type=refutes target=n_65c5d932430b\nt=0019 ADD_EDGE edge_id=e_47255c207c01 source=n_d262b18968d8 edge_type=supports target=n_c23762fd8d4e\nt=0020 ADD_EDGE edge_id=e_07c184eae4c9 source=n_8256a9ebd08d edge_type=supports target=n_9267769a9583\nt=0021 ADD_EDGE edge_id=e_4a08236665b9 source=n_410a52e6bdf6 edge_type=refutes target=n_14978bda7a5b\nt=0022 ADD_EDGE edge_id=e_8fa182ad662b source=n_65c5d932430b edge_type=supports target=n_448e9bbc66e4\nt=0023 ADD_EDGE edge_id=e_2a48dee590e0 source=n_410a52e6bdf6 edge_type=refutes target=n_3140a4e81196\nt=0024 ADD_EDGE edge_id=e_a3c35aa0af26 source=n_9267769a9583 edge_type=supports target=n_410a52e6bdf6\nt=0025 ADD_EDGE edge_id=e_a66ffd799b23 source=n_410a52e6bdf6 edge_type=supports target=n_5b0a03d1cd21\nt=0026 ADD_EDGE edge_id=e_39c28d21a6ec source=n_8256a9ebd08d edge_type=refutes target=n_fdfb0d13a109\nt=0027 QUERY source=n_8256a9ebd08d target=n_410a52e6bdf6\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1358,"provenance":{"base_record_id":"train-d02-007","dataset":"livegraph-deterministic-parity-v3","depth":2,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d02-007","split":"train","variant":"clean"},"record_seed":851228606126761950,"render_sha256":"affa21893d894102415da5f73365b18fe8ebd31bce5fda3d2b04d6ebea796776","representation":"linear_trace","semantic_sha256":"3fb5ff497f645c3e7b333e798d9b8d82cbc7b64bc04e389cac62f3b293bd83c3"}
{"char_count":2612,"item_id":"train-d02-008::linear_trace","label":"TRUE","lexical_token_proxy_count":452,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_f2a2724cc9e3 node_type=claim\nt=0001 CREATE_NODE id=n_7f7371281758 node_type=claim\nt=0002 CREATE_NODE id=n_dd764a5ec19f node_type=claim\nt=0003 CREATE_NODE id=n_a8c2970c2c2b node_type=claim\nt=0004 CREATE_NODE id=n_55464fdd6363 node_type=claim\nt=0005 CREATE_NODE id=n_b44dcdfb726c node_type=claim\nt=0006 CREATE_NODE id=n_6db35b65b23b node_type=claim\nt=0007 CREATE_NODE id=n_da37748be13d node_type=claim\nt=0008 CREATE_NODE id=n_d962a4394dbb node_type=claim\nt=0009 CREATE_NODE id=n_36873c6afd63 node_type=claim\nt=0010 CREATE_NODE id=n_f835cffa0915 node_type=claim\nt=0011 CREATE_NODE id=n_3a1c1a26886a node_type=claim\nt=0012 CREATE_NODE id=n_bc796eeae781 node_type=claim\nt=0013 CREATE_NODE id=n_4621ad080735 node_type=claim\nt=0014 ASSERT_ROOT node=n_dd764a5ec19f value=TRUE\nt=0015 ADD_EDGE edge_id=e_ff63e250f7d0 source=n_7f7371281758 edge_type=supports target=n_da37748be13d\nt=0016 ADD_EDGE edge_id=e_5412032ba0be source=n_da37748be13d edge_type=supports target=n_f835cffa0915\nt=0017 ADD_EDGE edge_id=e_a9a45471f0af source=n_da37748be13d edge_type=supports target=n_4621ad080735\nt=0018 ADD_EDGE edge_id=e_8d0357df633d source=n_4621ad080735 edge_type=supports target=n_f2a2724cc9e3\nt=0019 ADD_EDGE edge_id=e_dfdcd8626803 source=n_6db35b65b23b edge_type=refutes target=n_bc796eeae781\nt=0020 ADD_EDGE edge_id=e_447151d4ced7 source=n_da37748be13d edge_type=refutes target=n_55464fdd6363\nt=0021 ADD_EDGE edge_id=e_624d172dce8a source=n_dd764a5ec19f edge_type=refutes target=n_a8c2970c2c2b\nt=0022 ADD_EDGE edge_id=e_59b4a46aff8f source=n_dd764a5ec19f edge_type=supports target=n_d962a4394dbb\nt=0023 ADD_EDGE edge_id=e_4a0724c3060a source=n_55464fdd6363 edge_type=supports target=n_36873c6afd63\nt=0024 ADD_EDGE edge_id=e_ab959359dd3e source=n_dd764a5ec19f edge_type=refutes target=n_6db35b65b23b\nt=0025 ADD_EDGE edge_id=e_b018b2c30a0a source=n_dd764a5ec19f edge_type=refutes target=n_3a1c1a26886a\nt=0026 ADD_EDGE edge_id=e_4705f05ee945 source=n_6db35b65b23b edge_type=refutes target=n_b44dcdfb726c\nt=0027 QUERY source=n_dd764a5ec19f target=n_bc796eeae781\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1346,"provenance":{"base_record_id":"train-d02-008","dataset":"livegraph-deterministic-parity-v3","depth":2,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d02-008","split":"train","variant":"clean"},"record_seed":398386283677748260,"render_sha256":"3aa923f441650bb4f2534be44e36bdf8b9b7d941520bb74ba12e2f291838719e","representation":"linear_trace","semantic_sha256":"cb841097a6a3e5990b6a4ff3bace06f4adae2cef2bc30d638d59d0ef3abda7cc"}
{"char_count":2612,"item_id":"train-d02-009::linear_trace","label":"FALSE","lexical_token_proxy_count":452,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_686f53df0180 node_type=claim\nt=0001 CREATE_NODE id=n_82c96f4ca964 node_type=claim\nt=0002 CREATE_NODE id=n_4e8a3ea7df09 node_type=claim\nt=0003 CREATE_NODE id=n_445345688141 node_type=claim\nt=0004 CREATE_NODE id=n_b9b517519adb node_type=claim\nt=0005 CREATE_NODE id=n_570aae26abbe node_type=claim\nt=0006 CREATE_NODE id=n_f2ac16d10e46 node_type=claim\nt=0007 CREATE_NODE id=n_4a8149a0bcd1 node_type=claim\nt=0008 CREATE_NODE id=n_cc7597dbdef8 node_type=claim\nt=0009 CREATE_NODE id=n_d676bd7c75e8 node_type=claim\nt=0010 CREATE_NODE id=n_d2834ef151d9 node_type=claim\nt=0011 CREATE_NODE id=n_66c4504e0401 node_type=claim\nt=0012 CREATE_NODE id=n_dc0bca147acd node_type=claim\nt=0013 CREATE_NODE id=n_ab18cbb578b2 node_type=claim\nt=0014 ASSERT_ROOT node=n_dc0bca147acd value=TRUE\nt=0015 ADD_EDGE edge_id=e_ec4a4e48ab28 source=n_ab18cbb578b2 edge_type=refutes target=n_b9b517519adb\nt=0016 ADD_EDGE edge_id=e_490582552f22 source=n_445345688141 edge_type=supports target=n_4e8a3ea7df09\nt=0017 ADD_EDGE edge_id=e_f1af88dbd98d source=n_686f53df0180 edge_type=refutes target=n_570aae26abbe\nt=0018 ADD_EDGE edge_id=e_0e60e27157c3 source=n_dc0bca147acd edge_type=supports target=n_66c4504e0401\nt=0019 ADD_EDGE edge_id=e_6d2d89ff4938 source=n_66c4504e0401 edge_type=supports target=n_cc7597dbdef8\nt=0020 ADD_EDGE edge_id=e_fbe3455bc798 source=n_66c4504e0401 edge_type=refutes target=n_445345688141\nt=0021 ADD_EDGE edge_id=e_5d7372fc493d source=n_445345688141 edge_type=supports target=n_d676bd7c75e8\nt=0022 ADD_EDGE edge_id=e_0c2b99ad59f9 source=n_686f53df0180 edge_type=refutes target=n_d2834ef151d9\nt=0023 ADD_EDGE edge_id=e_82a65e3fa753 source=n_686f53df0180 edge_type=supports target=n_ab18cbb578b2\nt=0024 ADD_EDGE edge_id=e_3ddc1606368d source=n_dc0bca147acd edge_type=refutes target=n_f2ac16d10e46\nt=0025 ADD_EDGE edge_id=e_74a1d16524e8 source=n_686f53df0180 edge_type=supports target=n_82c96f4ca964\nt=0026 ADD_EDGE edge_id=e_75cb22a596eb source=n_4a8149a0bcd1 edge_type=refutes target=n_686f53df0180\nt=0027 QUERY source=n_dc0bca147acd target=n_445345688141\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1339,"provenance":{"base_record_id":"train-d02-009","dataset":"livegraph-deterministic-parity-v3","depth":2,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d02-009","split":"train","variant":"clean"},"record_seed":708616631472813504,"render_sha256":"58deb7e8241ab7dbd0b5bc37d94b6aa123c86dd9a36be0907d6e56a4b60cd1fc","representation":"linear_trace","semantic_sha256":"ae98a3a14a9b0ef0e8faad517c789059dbda7220fe817b60f8c6091d7f17ead2"}
{"char_count":2613,"item_id":"train-d02-010::linear_trace","label":"TRUE","lexical_token_proxy_count":452,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_a0d2155f503c node_type=claim\nt=0001 CREATE_NODE id=n_25a7323cfe22 node_type=claim\nt=0002 CREATE_NODE id=n_0d6b3d25fcde node_type=claim\nt=0003 CREATE_NODE id=n_bad95ddd813b node_type=claim\nt=0004 CREATE_NODE id=n_74029c5fe84c node_type=claim\nt=0005 CREATE_NODE id=n_2ae5a6282b56 node_type=claim\nt=0006 CREATE_NODE id=n_36e01a0f161b node_type=claim\nt=0007 CREATE_NODE id=n_b71b73c848f0 node_type=claim\nt=0008 CREATE_NODE id=n_b877df788acb node_type=claim\nt=0009 CREATE_NODE id=n_9917285e8fe1 node_type=claim\nt=0010 CREATE_NODE id=n_4c559b8ecc93 node_type=claim\nt=0011 CREATE_NODE id=n_98ede450aecd node_type=claim\nt=0012 CREATE_NODE id=n_19d275f9b5ee node_type=claim\nt=0013 CREATE_NODE id=n_af5f9008e4ff node_type=claim\nt=0014 ASSERT_ROOT node=n_0d6b3d25fcde value=FALSE\nt=0015 ADD_EDGE edge_id=e_32717eae7bd1 source=n_9917285e8fe1 edge_type=supports target=n_19d275f9b5ee\nt=0016 ADD_EDGE edge_id=e_5a3193b8de21 source=n_0d6b3d25fcde edge_type=supports target=n_36e01a0f161b\nt=0017 ADD_EDGE edge_id=e_64100be19dc5 source=n_98ede450aecd edge_type=supports target=n_4c559b8ecc93\nt=0018 ADD_EDGE edge_id=e_dbec040a6db8 source=n_0d6b3d25fcde edge_type=refutes target=n_9917285e8fe1\nt=0019 ADD_EDGE edge_id=e_87aae1fb3259 source=n_0d6b3d25fcde edge_type=supports target=n_25a7323cfe22\nt=0020 ADD_EDGE edge_id=e_bc90d32935a3 source=n_b71b73c848f0 edge_type=refutes target=n_b877df788acb\nt=0021 ADD_EDGE edge_id=e_36922912c152 source=n_af5f9008e4ff edge_type=supports target=n_2ae5a6282b56\nt=0022 ADD_EDGE edge_id=e_ca126764cae0 source=n_bad95ddd813b edge_type=refutes target=n_b71b73c848f0\nt=0023 ADD_EDGE edge_id=e_2d32f3b2b132 source=n_19d275f9b5ee edge_type=refutes target=n_a0d2155f503c\nt=0024 ADD_EDGE edge_id=e_49d5e2a93e82 source=n_98ede450aecd edge_type=refutes target=n_bad95ddd813b\nt=0025 ADD_EDGE edge_id=e_77e13534a656 source=n_98ede450aecd edge_type=supports target=n_af5f9008e4ff\nt=0026 ADD_EDGE edge_id=e_535e140a42a1 source=n_9917285e8fe1 edge_type=refutes target=n_74029c5fe84c\nt=0027 QUERY source=n_0d6b3d25fcde target=n_19d275f9b5ee\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1336,"provenance":{"base_record_id":"train-d02-010","dataset":"livegraph-deterministic-parity-v3","depth":2,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d02-010","split":"train","variant":"clean"},"record_seed":1042931674884447595,"render_sha256":"9c8266ac07d65549feb7252c6c2947bb7099f7849574e94ff215f66232652668","representation":"linear_trace","semantic_sha256":"6811d6b4cae4b93a56e1b707cb09bb26fa83460db7a0ccde85b9ce906ccbda2d"}
{"char_count":2613,"item_id":"train-d02-011::linear_trace","label":"FALSE","lexical_token_proxy_count":452,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_3b206cd7f7bc node_type=claim\nt=0001 CREATE_NODE id=n_fec622800bac node_type=claim\nt=0002 CREATE_NODE id=n_5f9a021137c3 node_type=claim\nt=0003 CREATE_NODE id=n_42a34a929362 node_type=claim\nt=0004 CREATE_NODE id=n_7d4c4ef17a8c node_type=claim\nt=0005 CREATE_NODE id=n_c165f11d323a node_type=claim\nt=0006 CREATE_NODE id=n_d3cac5be9913 node_type=claim\nt=0007 CREATE_NODE id=n_1a6a5f1f4101 node_type=claim\nt=0008 CREATE_NODE id=n_5d534da6cb46 node_type=claim\nt=0009 CREATE_NODE id=n_cc0922afec48 node_type=claim\nt=0010 CREATE_NODE id=n_81b6754cd848 node_type=claim\nt=0011 CREATE_NODE id=n_93ca27c9a1e8 node_type=claim\nt=0012 CREATE_NODE id=n_09e4822a1bc2 node_type=claim\nt=0013 CREATE_NODE id=n_d6acca508835 node_type=claim\nt=0014 ASSERT_ROOT node=n_42a34a929362 value=FALSE\nt=0015 ADD_EDGE edge_id=e_2405e86aaed7 source=n_d6acca508835 edge_type=refutes target=n_d3cac5be9913\nt=0016 ADD_EDGE edge_id=e_184af5054edb source=n_7d4c4ef17a8c edge_type=supports target=n_5f9a021137c3\nt=0017 ADD_EDGE edge_id=e_3fd53d5d1094 source=n_d3cac5be9913 edge_type=supports target=n_3b206cd7f7bc\nt=0018 ADD_EDGE edge_id=e_fa35bb58e44e source=n_42a34a929362 edge_type=refutes target=n_cc0922afec48\nt=0019 ADD_EDGE edge_id=e_eb272e5bab2a source=n_5f9a021137c3 edge_type=refutes target=n_09e4822a1bc2\nt=0020 ADD_EDGE edge_id=e_c496912054b4 source=n_42a34a929362 edge_type=supports target=n_1a6a5f1f4101\nt=0021 ADD_EDGE edge_id=e_5d96b7daef16 source=n_5f9a021137c3 edge_type=supports target=n_5d534da6cb46\nt=0022 ADD_EDGE edge_id=e_a6579a1d1736 source=n_7d4c4ef17a8c edge_type=refutes target=n_93ca27c9a1e8\nt=0023 ADD_EDGE edge_id=e_5318de86161e source=n_5f9a021137c3 edge_type=supports target=n_c165f11d323a\nt=0024 ADD_EDGE edge_id=e_72e4e63e2773 source=n_7d4c4ef17a8c edge_type=refutes target=n_81b6754cd848\nt=0025 ADD_EDGE edge_id=e_678e7ed1f3b2 source=n_42a34a929362 edge_type=refutes target=n_d6acca508835\nt=0026 ADD_EDGE edge_id=e_d4cb7d5e4fa3 source=n_d6acca508835 edge_type=supports target=n_fec622800bac\nt=0027 QUERY source=n_42a34a929362 target=n_d3cac5be9913\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1350,"provenance":{"base_record_id":"train-d02-011","dataset":"livegraph-deterministic-parity-v3","depth":2,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d02-011","split":"train","variant":"clean"},"record_seed":293084694499925596,"render_sha256":"afc85d4c55ad4a86f060179f227965a11eae8e6d0a0b1f3c7d2dbe0eb8a33364","representation":"linear_trace","semantic_sha256":"5b9cd16a9ed65b973acd758a5d1df8813cae73e25afa0677408d39e45a28986c"}
{"char_count":2612,"item_id":"train-d02-012::linear_trace","label":"TRUE","lexical_token_proxy_count":452,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_645c63243eed node_type=claim\nt=0001 CREATE_NODE id=n_a572202e8402 node_type=claim\nt=0002 CREATE_NODE id=n_9bab363c00bb node_type=claim\nt=0003 CREATE_NODE id=n_3327c448265b node_type=claim\nt=0004 CREATE_NODE id=n_9b401d5c922f node_type=claim\nt=0005 CREATE_NODE id=n_51bc011df852 node_type=claim\nt=0006 CREATE_NODE id=n_1eac9a410ce9 node_type=claim\nt=0007 CREATE_NODE id=n_c16245b18935 node_type=claim\nt=0008 CREATE_NODE id=n_1005c7b63e7a node_type=claim\nt=0009 CREATE_NODE id=n_4bdc2b4e2f1c node_type=claim\nt=0010 CREATE_NODE id=n_24511f5c0cb4 node_type=claim\nt=0011 CREATE_NODE id=n_bfb688786c9b node_type=claim\nt=0012 CREATE_NODE id=n_fa3d8f1e9799 node_type=claim\nt=0013 CREATE_NODE id=n_c3c4d95523f8 node_type=claim\nt=0014 ASSERT_ROOT node=n_9bab363c00bb value=TRUE\nt=0015 ADD_EDGE edge_id=e_88878bc7e665 source=n_9b401d5c922f edge_type=refutes target=n_a572202e8402\nt=0016 ADD_EDGE edge_id=e_9eb811e116c1 source=n_1005c7b63e7a edge_type=refutes target=n_645c63243eed\nt=0017 ADD_EDGE edge_id=e_d89e4059905a source=n_bfb688786c9b edge_type=refutes target=n_c16245b18935\nt=0018 ADD_EDGE edge_id=e_3c4a36da2b24 source=n_bfb688786c9b edge_type=supports target=n_9b401d5c922f\nt=0019 ADD_EDGE edge_id=e_cd0add3d4523 source=n_1005c7b63e7a edge_type=supports target=n_fa3d8f1e9799\nt=0020 ADD_EDGE edge_id=e_cbf851a476c0 source=n_9bab363c00bb edge_type=supports target=n_bfb688786c9b\nt=0021 ADD_EDGE edge_id=e_e82cfbc6d4de source=n_bfb688786c9b edge_type=refutes target=n_1eac9a410ce9\nt=0022 ADD_EDGE edge_id=e_f1db344d26eb source=n_51bc011df852 edge_type=supports target=n_1005c7b63e7a\nt=0023 ADD_EDGE edge_id=e_cadcbc73d3c2 source=n_1005c7b63e7a edge_type=supports target=n_4bdc2b4e2f1c\nt=0024 ADD_EDGE edge_id=e_84e98550429c source=n_9bab363c00bb edge_type=supports target=n_24511f5c0cb4\nt=0025 ADD_EDGE edge_id=e_a410ff5e4c9a source=n_51bc011df852 edge_type=refutes target=n_c3c4d95523f8\nt=0026 ADD_EDGE edge_id=e_0d5f3281dae3 source=n_51bc011df852 edge_type=refutes target=n_3327c448265b\nt=0027 QUERY source=n_9bab363c00bb target=n_9b401d5c922f\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1360,"provenance":{"base_record_id":"train-d02-012","dataset":"livegraph-deterministic-parity-v3","depth":2,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d02-012","split":"train","variant":"clean"},"record_seed":591389766324188917,"render_sha256":"7ee408e8168f00073384d29c4d05960fc9fc2138d8abff21323562352276f794","representation":"linear_trace","semantic_sha256":"c1ea4b2d6ea8b58ef3469c993bdbaffb6700a7b2e9117c6e320802142a570ff9"}
{"char_count":2612,"item_id":"train-d02-013::linear_trace","label":"FALSE","lexical_token_proxy_count":452,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_1acfab3b1d6e node_type=claim\nt=0001 CREATE_NODE id=n_5b05f5ac016b node_type=claim\nt=0002 CREATE_NODE id=n_5a4709b4ddf5 node_type=claim\nt=0003 CREATE_NODE id=n_42e3c7a50fd9 node_type=claim\nt=0004 CREATE_NODE id=n_2d09622f4d7f node_type=claim\nt=0005 CREATE_NODE id=n_7e9ed89f702d node_type=claim\nt=0006 CREATE_NODE id=n_41cdfadc6fcf node_type=claim\nt=0007 CREATE_NODE id=n_f3644b2a4705 node_type=claim\nt=0008 CREATE_NODE id=n_20e7ad24b4c6 node_type=claim\nt=0009 CREATE_NODE id=n_dd84e616b7ce node_type=claim\nt=0010 CREATE_NODE id=n_0cfee95569b1 node_type=claim\nt=0011 CREATE_NODE id=n_7c342fab2c5f node_type=claim\nt=0012 CREATE_NODE id=n_e6652e9d6070 node_type=claim\nt=0013 CREATE_NODE id=n_713609bd909d node_type=claim\nt=0014 ASSERT_ROOT node=n_f3644b2a4705 value=TRUE\nt=0015 ADD_EDGE edge_id=e_e608218b0c7d source=n_7c342fab2c5f edge_type=supports target=n_42e3c7a50fd9\nt=0016 ADD_EDGE edge_id=e_1716a3af7d84 source=n_5a4709b4ddf5 edge_type=supports target=n_e6652e9d6070\nt=0017 ADD_EDGE edge_id=e_4547f3d91fb0 source=n_e6652e9d6070 edge_type=refutes target=n_20e7ad24b4c6\nt=0018 ADD_EDGE edge_id=e_436d4796dd3c source=n_7c342fab2c5f edge_type=refutes target=n_1acfab3b1d6e\nt=0019 ADD_EDGE edge_id=e_22557e644ef5 source=n_5a4709b4ddf5 edge_type=supports target=n_dd84e616b7ce\nt=0020 ADD_EDGE edge_id=e_5d749879448b source=n_f3644b2a4705 edge_type=refutes target=n_5a4709b4ddf5\nt=0021 ADD_EDGE edge_id=e_1a24e90b073e source=n_7c342fab2c5f edge_type=supports target=n_0cfee95569b1\nt=0022 ADD_EDGE edge_id=e_3c1b54fb4c60 source=n_7c342fab2c5f edge_type=refutes target=n_713609bd909d\nt=0023 ADD_EDGE edge_id=e_eebe433faa3e source=n_f3644b2a4705 edge_type=supports target=n_7e9ed89f702d\nt=0024 ADD_EDGE edge_id=e_23e199c2bdec source=n_5b05f5ac016b edge_type=supports target=n_7c342fab2c5f\nt=0025 ADD_EDGE edge_id=e_9e7f3dc797b4 source=n_5b05f5ac016b edge_type=refutes target=n_2d09622f4d7f\nt=0026 ADD_EDGE edge_id=e_173936af52a2 source=n_5a4709b4ddf5 edge_type=refutes target=n_41cdfadc6fcf\nt=0027 QUERY source=n_f3644b2a4705 target=n_e6652e9d6070\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1355,"provenance":{"base_record_id":"train-d02-013","dataset":"livegraph-deterministic-parity-v3","depth":2,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d02-013","split":"train","variant":"clean"},"record_seed":430959447282359184,"render_sha256":"fa4f1c10887701c8a633fdc75d4f2e97c8e0c0be18235c22b0888858c649db6f","representation":"linear_trace","semantic_sha256":"5a5179aca9211ce71e725bdb6afc608e703c178acc6183e8c3b98e44f3279c22"}
{"char_count":2613,"item_id":"train-d02-014::linear_trace","label":"TRUE","lexical_token_proxy_count":452,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_0fd85f2d6aa3 node_type=claim\nt=0001 CREATE_NODE id=n_6fc987654079 node_type=claim\nt=0002 CREATE_NODE id=n_32567ac4b4c1 node_type=claim\nt=0003 CREATE_NODE id=n_96547f5e8d54 node_type=claim\nt=0004 CREATE_NODE id=n_bf9ba0b34445 node_type=claim\nt=0005 CREATE_NODE id=n_a0c3fb70f1e4 node_type=claim\nt=0006 CREATE_NODE id=n_a9ee559c377f node_type=claim\nt=0007 CREATE_NODE id=n_49c9db102878 node_type=claim\nt=0008 CREATE_NODE id=n_4654f7b18a12 node_type=claim\nt=0009 CREATE_NODE id=n_4404accf9bb3 node_type=claim\nt=0010 CREATE_NODE id=n_d5eab6d74510 node_type=claim\nt=0011 CREATE_NODE id=n_e50496ec39d8 node_type=claim\nt=0012 CREATE_NODE id=n_95f5b2a6da6f node_type=claim\nt=0013 CREATE_NODE id=n_3bda47889484 node_type=claim\nt=0014 ASSERT_ROOT node=n_32567ac4b4c1 value=FALSE\nt=0015 ADD_EDGE edge_id=e_a6ee520fdfff source=n_95f5b2a6da6f edge_type=supports target=n_49c9db102878\nt=0016 ADD_EDGE edge_id=e_240f10754f65 source=n_e50496ec39d8 edge_type=refutes target=n_a9ee559c377f\nt=0017 ADD_EDGE edge_id=e_74a7ac0c2efe source=n_bf9ba0b34445 edge_type=refutes target=n_4654f7b18a12\nt=0018 ADD_EDGE edge_id=e_d2f49f6fd78e source=n_bf9ba0b34445 edge_type=supports target=n_e50496ec39d8\nt=0019 ADD_EDGE edge_id=e_5daf52158ed8 source=n_95f5b2a6da6f edge_type=supports target=n_a0c3fb70f1e4\nt=0020 ADD_EDGE edge_id=e_051112a29295 source=n_e50496ec39d8 edge_type=supports target=n_96547f5e8d54\nt=0021 ADD_EDGE edge_id=e_1f98f229a119 source=n_95f5b2a6da6f edge_type=refutes target=n_d5eab6d74510\nt=0022 ADD_EDGE edge_id=e_7ea840b783d0 source=n_32567ac4b4c1 edge_type=supports target=n_6fc987654079\nt=0023 ADD_EDGE edge_id=e_e2eb0e745ce2 source=n_a0c3fb70f1e4 edge_type=supports target=n_0fd85f2d6aa3\nt=0024 ADD_EDGE edge_id=e_968bf8816fb6 source=n_95f5b2a6da6f edge_type=refutes target=n_3bda47889484\nt=0025 ADD_EDGE edge_id=e_08c0a752168b source=n_95f5b2a6da6f edge_type=refutes target=n_4404accf9bb3\nt=0026 ADD_EDGE edge_id=e_3ffb676abb34 source=n_32567ac4b4c1 edge_type=refutes target=n_bf9ba0b34445\nt=0027 QUERY source=n_32567ac4b4c1 target=n_e50496ec39d8\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1354,"provenance":{"base_record_id":"train-d02-014","dataset":"livegraph-deterministic-parity-v3","depth":2,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d02-014","split":"train","variant":"clean"},"record_seed":345005099758000867,"render_sha256":"d20b9bfab2f446e85aa82e45e7ab7efdff40178ac84a64db57111119e92491a7","representation":"linear_trace","semantic_sha256":"3312434397966507f5d99551965fbdbd392b7a30c07ce4a7b4cdb8c4c36108be"}
{"char_count":2613,"item_id":"train-d02-015::linear_trace","label":"FALSE","lexical_token_proxy_count":452,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_abb30031ecc3 node_type=claim\nt=0001 CREATE_NODE id=n_3d3d0b216459 node_type=claim\nt=0002 CREATE_NODE id=n_2bbc0b078192 node_type=claim\nt=0003 CREATE_NODE id=n_3bbb30c39b4c node_type=claim\nt=0004 CREATE_NODE id=n_000e7834a99d node_type=claim\nt=0005 CREATE_NODE id=n_33d24083c9c6 node_type=claim\nt=0006 CREATE_NODE id=n_4188696e6462 node_type=claim\nt=0007 CREATE_NODE id=n_f6095c4a9f1a node_type=claim\nt=0008 CREATE_NODE id=n_baa83edc1765 node_type=claim\nt=0009 CREATE_NODE id=n_11e7d02e78e6 node_type=claim\nt=0010 CREATE_NODE id=n_98753522c2b9 node_type=claim\nt=0011 CREATE_NODE id=n_fb62a8038e19 node_type=claim\nt=0012 CREATE_NODE id=n_303de3618acd node_type=claim\nt=0013 CREATE_NODE id=n_4d5fe59ed63b node_type=claim\nt=0014 ASSERT_ROOT node=n_fb62a8038e19 value=FALSE\nt=0015 ADD_EDGE edge_id=e_24ae169efae9 source=n_303de3618acd edge_type=refutes target=n_11e7d02e78e6\nt=0016 ADD_EDGE edge_id=e_d0bf5c7f9a00 source=n_4188696e6462 edge_type=supports target=n_3d3d0b216459\nt=0017 ADD_EDGE edge_id=e_86032535a424 source=n_11e7d02e78e6 edge_type=supports target=n_abb30031ecc3\nt=0018 ADD_EDGE edge_id=e_c76ed31ef2ed source=n_303de3618acd edge_type=refutes target=n_98753522c2b9\nt=0019 ADD_EDGE edge_id=e_69792e1ee57d source=n_303de3618acd edge_type=refutes target=n_000e7834a99d\nt=0020 ADD_EDGE edge_id=e_5179b99454c5 source=n_f6095c4a9f1a edge_type=refutes target=n_4d5fe59ed63b\nt=0021 ADD_EDGE edge_id=e_a59a00c1a801 source=n_f6095c4a9f1a edge_type=refutes target=n_baa83edc1765\nt=0022 ADD_EDGE edge_id=e_623c2ff8912f source=n_fb62a8038e19 edge_type=supports target=n_2bbc0b078192\nt=0023 ADD_EDGE edge_id=e_6edca8c0732f source=n_33d24083c9c6 edge_type=supports target=n_4188696e6462\nt=0024 ADD_EDGE edge_id=e_3be22ae4bbd5 source=n_f6095c4a9f1a edge_type=supports target=n_33d24083c9c6\nt=0025 ADD_EDGE edge_id=e_a36e1828d441 source=n_fb62a8038e19 edge_type=refutes target=n_303de3618acd\nt=0026 ADD_EDGE edge_id=e_4fbf9e515931 source=n_baa83edc1765 edge_type=supports target=n_3bbb30c39b4c\nt=0027 QUERY source=n_fb62a8038e19 target=n_11e7d02e78e6\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1356,"provenance":{"base_record_id":"train-d02-015","dataset":"livegraph-deterministic-parity-v3","depth":2,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d02-015","split":"train","variant":"clean"},"record_seed":478149595064873406,"render_sha256":"54b2f796a33710ed5972a0fa87efcf262f583da401514e6f1409ae045749d4f3","representation":"linear_trace","semantic_sha256":"e94070274bf37103c6be685a52ae43555ff2e905c2b23c0cd162a32408536ab0"}
{"char_count":2612,"item_id":"train-d02-016::linear_trace","label":"TRUE","lexical_token_proxy_count":452,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_c99199baf8f2 node_type=claim\nt=0001 CREATE_NODE id=n_1052178e7a7c node_type=claim\nt=0002 CREATE_NODE id=n_83bb47230b51 node_type=claim\nt=0003 CREATE_NODE id=n_905d84d6d1c1 node_type=claim\nt=0004 CREATE_NODE id=n_7a56a54f08cb node_type=claim\nt=0005 CREATE_NODE id=n_acd13cbe1f1e node_type=claim\nt=0006 CREATE_NODE id=n_4950b73d54d3 node_type=claim\nt=0007 CREATE_NODE id=n_25faab34f819 node_type=claim\nt=0008 CREATE_NODE id=n_53648c816d27 node_type=claim\nt=0009 CREATE_NODE id=n_165b67c25231 node_type=claim\nt=0010 CREATE_NODE id=n_67bc753f5eb3 node_type=claim\nt=0011 CREATE_NODE id=n_e461df382d1b node_type=claim\nt=0012 CREATE_NODE id=n_c3db3162eaf6 node_type=claim\nt=0013 CREATE_NODE id=n_67c2397be81c node_type=claim\nt=0014 ASSERT_ROOT node=n_acd13cbe1f1e value=TRUE\nt=0015 ADD_EDGE edge_id=e_02aaf08ec161 source=n_4950b73d54d3 edge_type=supports target=n_905d84d6d1c1\nt=0016 ADD_EDGE edge_id=e_de439160f446 source=n_4950b73d54d3 edge_type=refutes target=n_67bc753f5eb3\nt=0017 ADD_EDGE edge_id=e_e8af10912395 source=n_e461df382d1b edge_type=refutes target=n_7a56a54f08cb\nt=0018 ADD_EDGE edge_id=e_303dd4251aca source=n_25faab34f819 edge_type=supports target=n_4950b73d54d3\nt=0019 ADD_EDGE edge_id=e_50b85b2ed44f source=n_acd13cbe1f1e edge_type=refutes target=n_e461df382d1b\nt=0020 ADD_EDGE edge_id=e_1908a3469137 source=n_25faab34f819 edge_type=supports target=n_83bb47230b51\nt=0021 ADD_EDGE edge_id=e_bf2f30497937 source=n_7a56a54f08cb edge_type=refutes target=n_67c2397be81c\nt=0022 ADD_EDGE edge_id=e_cafa0c79a423 source=n_e461df382d1b edge_type=refutes target=n_c99199baf8f2\nt=0023 ADD_EDGE edge_id=e_ecd029d9d88d source=n_4950b73d54d3 edge_type=refutes target=n_1052178e7a7c\nt=0024 ADD_EDGE edge_id=e_69ac8410b944 source=n_acd13cbe1f1e edge_type=supports target=n_165b67c25231\nt=0025 ADD_EDGE edge_id=e_99b5e33981d6 source=n_acd13cbe1f1e edge_type=supports target=n_c3db3162eaf6\nt=0026 ADD_EDGE edge_id=e_a7a781d6f308 source=n_905d84d6d1c1 edge_type=supports target=n_53648c816d27\nt=0027 QUERY source=n_acd13cbe1f1e target=n_7a56a54f08cb\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1359,"provenance":{"base_record_id":"train-d02-016","dataset":"livegraph-deterministic-parity-v3","depth":2,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d02-016","split":"train","variant":"clean"},"record_seed":516355753592861652,"render_sha256":"5d914f2a1ceb390b59cfe6c1459a9963c3106365c55b5d13d5898c7d3fa2c204","representation":"linear_trace","semantic_sha256":"c7e4c0360a5ce12e8cc2c071394354dd2f254f3435d7c2e7bdcbd7cc204bccde"}
{"char_count":2612,"item_id":"train-d02-017::linear_trace","label":"FALSE","lexical_token_proxy_count":452,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_7356c5d9c5bd node_type=claim\nt=0001 CREATE_NODE id=n_8a933113a4f8 node_type=claim\nt=0002 CREATE_NODE id=n_5e6df64c7591 node_type=claim\nt=0003 CREATE_NODE id=n_de9ea90a2ec2 node_type=claim\nt=0004 CREATE_NODE id=n_4fdeaee876ab node_type=claim\nt=0005 CREATE_NODE id=n_d69bfc46dfd9 node_type=claim\nt=0006 CREATE_NODE id=n_a79d34f63659 node_type=claim\nt=0007 CREATE_NODE id=n_e789f88afdea node_type=claim\nt=0008 CREATE_NODE id=n_e62136df49b3 node_type=claim\nt=0009 CREATE_NODE id=n_095519b9d844 node_type=claim\nt=0010 CREATE_NODE id=n_fb6be6b718be node_type=claim\nt=0011 CREATE_NODE id=n_ec815eca4eaf node_type=claim\nt=0012 CREATE_NODE id=n_3da00b44d039 node_type=claim\nt=0013 CREATE_NODE id=n_8758092cdc4a node_type=claim\nt=0014 ASSERT_ROOT node=n_8a933113a4f8 value=TRUE\nt=0015 ADD_EDGE edge_id=e_2b8cf41b469d source=n_095519b9d844 edge_type=refutes target=n_7356c5d9c5bd\nt=0016 ADD_EDGE edge_id=e_ec543d503f3e source=n_d69bfc46dfd9 edge_type=refutes target=n_3da00b44d039\nt=0017 ADD_EDGE edge_id=e_d229ec15a588 source=n_d69bfc46dfd9 edge_type=supports target=n_8758092cdc4a\nt=0018 ADD_EDGE edge_id=e_4c3deaf89265 source=n_d69bfc46dfd9 edge_type=supports target=n_e62136df49b3\nt=0019 ADD_EDGE edge_id=e_bb64e56a064f source=n_de9ea90a2ec2 edge_type=supports target=n_fb6be6b718be\nt=0020 ADD_EDGE edge_id=e_1ad108400583 source=n_de9ea90a2ec2 edge_type=refutes target=n_ec815eca4eaf\nt=0021 ADD_EDGE edge_id=e_59ac8f727d8c source=n_8a933113a4f8 edge_type=supports target=n_de9ea90a2ec2\nt=0022 ADD_EDGE edge_id=e_5f7ed63e41e4 source=n_7356c5d9c5bd edge_type=refutes target=n_e789f88afdea\nt=0023 ADD_EDGE edge_id=e_84d84d3cfc0b source=n_8a933113a4f8 edge_type=refutes target=n_5e6df64c7591\nt=0024 ADD_EDGE edge_id=e_cfebdddda95e source=n_ec815eca4eaf edge_type=refutes target=n_a79d34f63659\nt=0025 ADD_EDGE edge_id=e_0155217913d4 source=n_d69bfc46dfd9 edge_type=supports target=n_095519b9d844\nt=0026 ADD_EDGE edge_id=e_8207ba5957d5 source=n_de9ea90a2ec2 edge_type=supports target=n_4fdeaee876ab\nt=0027 QUERY source=n_8a933113a4f8 target=n_ec815eca4eaf\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1325,"provenance":{"base_record_id":"train-d02-017","dataset":"livegraph-deterministic-parity-v3","depth":2,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d02-017","split":"train","variant":"clean"},"record_seed":819037607704510781,"render_sha256":"642a868bb09643e1259f8d31a3eee1311ecdf2cca95ffd1905eab0c733e5b729","representation":"linear_trace","semantic_sha256":"bfc4c5dcaef61fa5f90a98d77bdaf4876a0188924343b9ed3d34a0839a19f2c8"}
{"char_count":2613,"item_id":"train-d02-018::linear_trace","label":"TRUE","lexical_token_proxy_count":452,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_fd485435a42b node_type=claim\nt=0001 CREATE_NODE id=n_659f90307e2e node_type=claim\nt=0002 CREATE_NODE id=n_17425ca23ce8 node_type=claim\nt=0003 CREATE_NODE id=n_ef2cab027704 node_type=claim\nt=0004 CREATE_NODE id=n_34d6567a2c30 node_type=claim\nt=0005 CREATE_NODE id=n_3a0f94c880cf node_type=claim\nt=0006 CREATE_NODE id=n_510cb881f983 node_type=claim\nt=0007 CREATE_NODE id=n_b3c3ad1d57ce node_type=claim\nt=0008 CREATE_NODE id=n_0218440d63ed node_type=claim\nt=0009 CREATE_NODE id=n_05ce271990a0 node_type=claim\nt=0010 CREATE_NODE id=n_7bce7ca800b6 node_type=claim\nt=0011 CREATE_NODE id=n_02bf14764c87 node_type=claim\nt=0012 CREATE_NODE id=n_d395cb303f7f node_type=claim\nt=0013 CREATE_NODE id=n_9a24e2ec7225 node_type=claim\nt=0014 ASSERT_ROOT node=n_fd485435a42b value=FALSE\nt=0015 ADD_EDGE edge_id=e_36c38f758048 source=n_7bce7ca800b6 edge_type=refutes target=n_0218440d63ed\nt=0016 ADD_EDGE edge_id=e_bbadcdd4c2bf source=n_05ce271990a0 edge_type=refutes target=n_17425ca23ce8\nt=0017 ADD_EDGE edge_id=e_36219a7de951 source=n_659f90307e2e edge_type=supports target=n_b3c3ad1d57ce\nt=0018 ADD_EDGE edge_id=e_ced72cd736df source=n_05ce271990a0 edge_type=refutes target=n_02bf14764c87\nt=0019 ADD_EDGE edge_id=e_87f14d844348 source=n_659f90307e2e edge_type=refutes target=n_7bce7ca800b6\nt=0020 ADD_EDGE edge_id=e_a27f8e87bf97 source=n_0218440d63ed edge_type=supports target=n_ef2cab027704\nt=0021 ADD_EDGE edge_id=e_4bb24c88862a source=n_fd485435a42b edge_type=supports target=n_05ce271990a0\nt=0022 ADD_EDGE edge_id=e_42c810cbe470 source=n_0218440d63ed edge_type=supports target=n_510cb881f983\nt=0023 ADD_EDGE edge_id=e_713bc8f98d08 source=n_05ce271990a0 edge_type=supports target=n_9a24e2ec7225\nt=0024 ADD_EDGE edge_id=e_993f256f6700 source=n_05ce271990a0 edge_type=refutes target=n_3a0f94c880cf\nt=0025 ADD_EDGE edge_id=e_295759dd2503 source=n_659f90307e2e edge_type=supports target=n_d395cb303f7f\nt=0026 ADD_EDGE edge_id=e_702c57393cf1 source=n_05ce271990a0 edge_type=refutes target=n_34d6567a2c30\nt=0027 QUERY source=n_fd485435a42b target=n_17425ca23ce8\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1357,"provenance":{"base_record_id":"train-d02-018","dataset":"livegraph-deterministic-parity-v3","depth":2,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d02-018","split":"train","variant":"clean"},"record_seed":714267765376671835,"render_sha256":"72ec587795d1c7258a01760cf24cd89df159831e0200509c685b3ee5bad4e085","representation":"linear_trace","semantic_sha256":"8a39177c5d06cddc1127651f783f6fd1be7232178451360d20696212a1e36d4c"}
{"char_count":2613,"item_id":"train-d02-019::linear_trace","label":"FALSE","lexical_token_proxy_count":452,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_02db4d045469 node_type=claim\nt=0001 CREATE_NODE id=n_e67506e6859e node_type=claim\nt=0002 CREATE_NODE id=n_0ea9cdcc415c node_type=claim\nt=0003 CREATE_NODE id=n_7b5965ab4661 node_type=claim\nt=0004 CREATE_NODE id=n_4508dd1bce5a node_type=claim\nt=0005 CREATE_NODE id=n_be38f869ca4b node_type=claim\nt=0006 CREATE_NODE id=n_d7f8fb6dd2c7 node_type=claim\nt=0007 CREATE_NODE id=n_c099886727d7 node_type=claim\nt=0008 CREATE_NODE id=n_03a9e4598a4f node_type=claim\nt=0009 CREATE_NODE id=n_a13094357d97 node_type=claim\nt=0010 CREATE_NODE id=n_9bd90e6c0a23 node_type=claim\nt=0011 CREATE_NODE id=n_948631527567 node_type=claim\nt=0012 CREATE_NODE id=n_23c731eae987 node_type=claim\nt=0013 CREATE_NODE id=n_a56d1d030295 node_type=claim\nt=0014 ASSERT_ROOT node=n_7b5965ab4661 value=FALSE\nt=0015 ADD_EDGE edge_id=e_e9da4a6e7a87 source=n_948631527567 edge_type=refutes target=n_4508dd1bce5a\nt=0016 ADD_EDGE edge_id=e_8374fb481399 source=n_948631527567 edge_type=refutes target=n_c099886727d7\nt=0017 ADD_EDGE edge_id=e_d5a5084cb9db source=n_02db4d045469 edge_type=supports target=n_d7f8fb6dd2c7\nt=0018 ADD_EDGE edge_id=e_1e2d19af3951 source=n_7b5965ab4661 edge_type=refutes target=n_948631527567\nt=0019 ADD_EDGE edge_id=e_240f4113b178 source=n_7b5965ab4661 edge_type=supports target=n_0ea9cdcc415c\nt=0020 ADD_EDGE edge_id=e_2828e68230a0 source=n_be38f869ca4b edge_type=refutes target=n_23c731eae987\nt=0021 ADD_EDGE edge_id=e_63b047f96d0b source=n_7b5965ab4661 edge_type=supports target=n_a13094357d97\nt=0022 ADD_EDGE edge_id=e_f89b2f486530 source=n_be38f869ca4b edge_type=supports target=n_03a9e4598a4f\nt=0023 ADD_EDGE edge_id=e_c52efb85a42c source=n_7b5965ab4661 edge_type=refutes target=n_a56d1d030295\nt=0024 ADD_EDGE edge_id=e_a3dda0f2d3ce source=n_be38f869ca4b edge_type=supports target=n_e67506e6859e\nt=0025 ADD_EDGE edge_id=e_f2845492c1c1 source=n_be38f869ca4b edge_type=supports target=n_9bd90e6c0a23\nt=0026 ADD_EDGE edge_id=e_3aab611eba34 source=n_9bd90e6c0a23 edge_type=refutes target=n_02db4d045469\nt=0027 QUERY source=n_7b5965ab4661 target=n_c099886727d7\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1367,"provenance":{"base_record_id":"train-d02-019","dataset":"livegraph-deterministic-parity-v3","depth":2,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d02-019","split":"train","variant":"clean"},"record_seed":665161140249081204,"render_sha256":"79f623ec6c8c6c1659fbab3bf5e12341f1c964c3b2a4dad12f41d3d57377514c","representation":"linear_trace","semantic_sha256":"d5c210f2eb8bfdbb6179cd280cbc03cd2a15c5d5484cc7eb3a5a23931f7075e4"}
{"char_count":2612,"item_id":"train-d02-020::linear_trace","label":"TRUE","lexical_token_proxy_count":452,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_34463be483a2 node_type=claim\nt=0001 CREATE_NODE id=n_e35540f904fc node_type=claim\nt=0002 CREATE_NODE id=n_7164082a71d1 node_type=claim\nt=0003 CREATE_NODE id=n_9b5071f8e980 node_type=claim\nt=0004 CREATE_NODE id=n_d834ad031ed4 node_type=claim\nt=0005 CREATE_NODE id=n_7cc5bec2c27a node_type=claim\nt=0006 CREATE_NODE id=n_bfa83b45c7b5 node_type=claim\nt=0007 CREATE_NODE id=n_62339f800a5f node_type=claim\nt=0008 CREATE_NODE id=n_55d90e9c3339 node_type=claim\nt=0009 CREATE_NODE id=n_3adea4949017 node_type=claim\nt=0010 CREATE_NODE id=n_3bbe14e397a2 node_type=claim\nt=0011 CREATE_NODE id=n_fd576b897c23 node_type=claim\nt=0012 CREATE_NODE id=n_74e3980ba99a node_type=claim\nt=0013 CREATE_NODE id=n_d58f76e9c3fe node_type=claim\nt=0014 ASSERT_ROOT node=n_3adea4949017 value=TRUE\nt=0015 ADD_EDGE edge_id=e_0842d03038d5 source=n_34463be483a2 edge_type=supports target=n_62339f800a5f\nt=0016 ADD_EDGE edge_id=e_b5f42283e61e source=n_3adea4949017 edge_type=refutes target=n_fd576b897c23\nt=0017 ADD_EDGE edge_id=e_50f84e106e5d source=n_7cc5bec2c27a edge_type=supports target=n_34463be483a2\nt=0018 ADD_EDGE edge_id=e_553ae3d10e7a source=n_9b5071f8e980 edge_type=refutes target=n_e35540f904fc\nt=0019 ADD_EDGE edge_id=e_db2053670d34 source=n_7164082a71d1 edge_type=supports target=n_bfa83b45c7b5\nt=0020 ADD_EDGE edge_id=e_94b45050aae1 source=n_fd576b897c23 edge_type=refutes target=n_d58f76e9c3fe\nt=0021 ADD_EDGE edge_id=e_59e13b8c45c3 source=n_3adea4949017 edge_type=refutes target=n_3bbe14e397a2\nt=0022 ADD_EDGE edge_id=e_729822a19521 source=n_7cc5bec2c27a edge_type=supports target=n_9b5071f8e980\nt=0023 ADD_EDGE edge_id=e_3f47c7c68cd8 source=n_d58f76e9c3fe edge_type=refutes target=n_d834ad031ed4\nt=0024 ADD_EDGE edge_id=e_88d5cd3dbaf0 source=n_3adea4949017 edge_type=refutes target=n_74e3980ba99a\nt=0025 ADD_EDGE edge_id=e_1a9a6b019b4f source=n_7cc5bec2c27a edge_type=supports target=n_7164082a71d1\nt=0026 ADD_EDGE edge_id=e_d91c0da54618 source=n_fd576b897c23 edge_type=supports target=n_55d90e9c3339\nt=0027 QUERY source=n_3adea4949017 target=n_d58f76e9c3fe\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1363,"provenance":{"base_record_id":"train-d02-020","dataset":"livegraph-deterministic-parity-v3","depth":2,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d02-020","split":"train","variant":"clean"},"record_seed":808772319892511079,"render_sha256":"899bfe0bc410e97e1ba21daddb64d2d2f9882eaf1241e64a51236fbd30e6c7f0","representation":"linear_trace","semantic_sha256":"a6903913ef646e259181bcaf2348cd9348a1dd6fe85de543756341f90e94f28c"}
{"char_count":2612,"item_id":"train-d02-021::linear_trace","label":"FALSE","lexical_token_proxy_count":452,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_c31936adbc68 node_type=claim\nt=0001 CREATE_NODE id=n_bf67bdf82ca6 node_type=claim\nt=0002 CREATE_NODE id=n_0bc516a68844 node_type=claim\nt=0003 CREATE_NODE id=n_9ab5db4c80a5 node_type=claim\nt=0004 CREATE_NODE id=n_223163ef828c node_type=claim\nt=0005 CREATE_NODE id=n_9c768108ba10 node_type=claim\nt=0006 CREATE_NODE id=n_96109cee2aae node_type=claim\nt=0007 CREATE_NODE id=n_bc81b82b1902 node_type=claim\nt=0008 CREATE_NODE id=n_4079b0f8f255 node_type=claim\nt=0009 CREATE_NODE id=n_c70a09a22142 node_type=claim\nt=0010 CREATE_NODE id=n_d12758e861b9 node_type=claim\nt=0011 CREATE_NODE id=n_065e6a7642c9 node_type=claim\nt=0012 CREATE_NODE id=n_c534d2905a61 node_type=claim\nt=0013 CREATE_NODE id=n_67faf538a795 node_type=claim\nt=0014 ASSERT_ROOT node=n_d12758e861b9 value=TRUE\nt=0015 ADD_EDGE edge_id=e_75d4ee16ab68 source=n_bc81b82b1902 edge_type=supports target=n_c31936adbc68\nt=0016 ADD_EDGE edge_id=e_79f67349415e source=n_4079b0f8f255 edge_type=refutes target=n_223163ef828c\nt=0017 ADD_EDGE edge_id=e_18b647f4ae60 source=n_bc81b82b1902 edge_type=supports target=n_4079b0f8f255\nt=0018 ADD_EDGE edge_id=e_a8405c03f0a9 source=n_4079b0f8f255 edge_type=supports target=n_065e6a7642c9\nt=0019 ADD_EDGE edge_id=e_0e42314237bf source=n_c534d2905a61 edge_type=refutes target=n_67faf538a795\nt=0020 ADD_EDGE edge_id=e_cfe7ebf1c42f source=n_c534d2905a61 edge_type=supports target=n_96109cee2aae\nt=0021 ADD_EDGE edge_id=e_650760e64cdc source=n_223163ef828c edge_type=supports target=n_9c768108ba10\nt=0022 ADD_EDGE edge_id=e_7c3a90d246ff source=n_d12758e861b9 edge_type=refutes target=n_9ab5db4c80a5\nt=0023 ADD_EDGE edge_id=e_6f8c23776001 source=n_c534d2905a61 edge_type=refutes target=n_0bc516a68844\nt=0024 ADD_EDGE edge_id=e_3907d23a8887 source=n_d12758e861b9 edge_type=refutes target=n_c70a09a22142\nt=0025 ADD_EDGE edge_id=e_85dfca6bbb25 source=n_9ab5db4c80a5 edge_type=supports target=n_c534d2905a61\nt=0026 ADD_EDGE edge_id=e_4703e75c6b1c source=n_bc81b82b1902 edge_type=refutes target=n_bf67bdf82ca6\nt=0027 QUERY source=n_d12758e861b9 target=n_c534d2905a61\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1369,"provenance":{"base_record_id":"train-d02-021","dataset":"livegraph-deterministic-parity-v3","depth":2,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d02-021","split":"train","variant":"clean"},"record_seed":804232635928358934,"render_sha256":"13a07b341a5e299b24376f19ae8ebba56168a17d84d31000ab7139ac192f5c2e","representation":"linear_trace","semantic_sha256":"1b9f07b56deb2d5ace99f3c58aac5e27f74b87a24a2943ad4344cbbe7a3a534e"}
{"char_count":2613,"item_id":"train-d02-022::linear_trace","label":"TRUE","lexical_token_proxy_count":452,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_f1c7694623ac node_type=claim\nt=0001 CREATE_NODE id=n_fea39e7cc963 node_type=claim\nt=0002 CREATE_NODE id=n_e1b674cd43e8 node_type=claim\nt=0003 CREATE_NODE id=n_2535811a1311 node_type=claim\nt=0004 CREATE_NODE id=n_d515d9d12973 node_type=claim\nt=0005 CREATE_NODE id=n_7dfd5abe5015 node_type=claim\nt=0006 CREATE_NODE id=n_268f50bd76e1 node_type=claim\nt=0007 CREATE_NODE id=n_c6618b7c9dbe node_type=claim\nt=0008 CREATE_NODE id=n_85e7ed51f4f1 node_type=claim\nt=0009 CREATE_NODE id=n_bbd57f433c5a node_type=claim\nt=0010 CREATE_NODE id=n_c3dff12ad8a9 node_type=claim\nt=0011 CREATE_NODE id=n_5f8cbe60ff72 node_type=claim\nt=0012 CREATE_NODE id=n_6d5df5012667 node_type=claim\nt=0013 CREATE_NODE id=n_eb9f6fe8e1d4 node_type=claim\nt=0014 ASSERT_ROOT node=n_268f50bd76e1 value=FALSE\nt=0015 ADD_EDGE edge_id=e_c21324331263 source=n_d515d9d12973 edge_type=refutes target=n_c6618b7c9dbe\nt=0016 ADD_EDGE edge_id=e_19239377d4d5 source=n_f1c7694623ac edge_type=supports target=n_fea39e7cc963\nt=0017 ADD_EDGE edge_id=e_f7ae88b1e782 source=n_2535811a1311 edge_type=refutes target=n_d515d9d12973\nt=0018 ADD_EDGE edge_id=e_658e18912b2f source=n_f1c7694623ac edge_type=refutes target=n_bbd57f433c5a\nt=0019 ADD_EDGE edge_id=e_af3fa4f738d5 source=n_d515d9d12973 edge_type=refutes target=n_eb9f6fe8e1d4\nt=0020 ADD_EDGE edge_id=e_e1506caa7ec0 source=n_6d5df5012667 edge_type=supports target=n_c3dff12ad8a9\nt=0021 ADD_EDGE edge_id=e_d2e8e03a35ec source=n_f1c7694623ac edge_type=supports target=n_6d5df5012667\nt=0022 ADD_EDGE edge_id=e_78a387c4d817 source=n_2535811a1311 edge_type=supports target=n_7dfd5abe5015\nt=0023 ADD_EDGE edge_id=e_0997322fdc57 source=n_c6618b7c9dbe edge_type=supports target=n_5f8cbe60ff72\nt=0024 ADD_EDGE edge_id=e_a8c23c4fd3e1 source=n_268f50bd76e1 edge_type=refutes target=n_f1c7694623ac\nt=0025 ADD_EDGE edge_id=e_1bce7113e51c source=n_2535811a1311 edge_type=refutes target=n_e1b674cd43e8\nt=0026 ADD_EDGE edge_id=e_51b8f17aa820 source=n_6d5df5012667 edge_type=supports target=n_85e7ed51f4f1\nt=0027 QUERY source=n_268f50bd76e1 target=n_6d5df5012667\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1362,"provenance":{"base_record_id":"train-d02-022","dataset":"livegraph-deterministic-parity-v3","depth":2,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d02-022","split":"train","variant":"clean"},"record_seed":508857132121379619,"render_sha256":"98b1573e83061e3b7ef879db36a52a666e26a433dded708ebeb55172df8367cc","representation":"linear_trace","semantic_sha256":"74074143ad95605c74e095b7adadb09f097684f9fa4bdcbe5566fe322dd65139"}
{"char_count":2613,"item_id":"train-d02-023::linear_trace","label":"FALSE","lexical_token_proxy_count":452,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_523cd901d9f6 node_type=claim\nt=0001 CREATE_NODE id=n_d2254ec10cba node_type=claim\nt=0002 CREATE_NODE id=n_c7e261c458c5 node_type=claim\nt=0003 CREATE_NODE id=n_743d900b009f node_type=claim\nt=0004 CREATE_NODE id=n_58436342e2f8 node_type=claim\nt=0005 CREATE_NODE id=n_d4c87e12de9e node_type=claim\nt=0006 CREATE_NODE id=n_87c866f2f536 node_type=claim\nt=0007 CREATE_NODE id=n_cf6512062cef node_type=claim\nt=0008 CREATE_NODE id=n_e335d13a8307 node_type=claim\nt=0009 CREATE_NODE id=n_28c8574075a3 node_type=claim\nt=0010 CREATE_NODE id=n_4b7cb857e5e1 node_type=claim\nt=0011 CREATE_NODE id=n_e4477bd569e0 node_type=claim\nt=0012 CREATE_NODE id=n_a5a849cf749c node_type=claim\nt=0013 CREATE_NODE id=n_3a41fb48fa30 node_type=claim\nt=0014 ASSERT_ROOT node=n_28c8574075a3 value=FALSE\nt=0015 ADD_EDGE edge_id=e_510088fdf1a4 source=n_c7e261c458c5 edge_type=refutes target=n_743d900b009f\nt=0016 ADD_EDGE edge_id=e_b4c1c8b21f2d source=n_87c866f2f536 edge_type=supports target=n_d2254ec10cba\nt=0017 ADD_EDGE edge_id=e_82fe28fdcb94 source=n_87c866f2f536 edge_type=refutes target=n_4b7cb857e5e1\nt=0018 ADD_EDGE edge_id=e_7ca97141dc62 source=n_4b7cb857e5e1 edge_type=refutes target=n_e4477bd569e0\nt=0019 ADD_EDGE edge_id=e_7abd6a3d5f2a source=n_28c8574075a3 edge_type=supports target=n_e335d13a8307\nt=0020 ADD_EDGE edge_id=e_2d65ced4f3c4 source=n_cf6512062cef edge_type=refutes target=n_c7e261c458c5\nt=0021 ADD_EDGE edge_id=e_f32a5f9b02f6 source=n_87c866f2f536 edge_type=supports target=n_d4c87e12de9e\nt=0022 ADD_EDGE edge_id=e_7f8c08c459d7 source=n_c7e261c458c5 edge_type=refutes target=n_a5a849cf749c\nt=0023 ADD_EDGE edge_id=e_658ec8e71b77 source=n_c7e261c458c5 edge_type=supports target=n_58436342e2f8\nt=0024 ADD_EDGE edge_id=e_d2fe1291981f source=n_4b7cb857e5e1 edge_type=supports target=n_523cd901d9f6\nt=0025 ADD_EDGE edge_id=e_f44a7a6471ec source=n_87c866f2f536 edge_type=supports target=n_3a41fb48fa30\nt=0026 ADD_EDGE edge_id=e_452aabe8414a source=n_28c8574075a3 edge_type=refutes target=n_cf6512062cef\nt=0027 QUERY source=n_28c8574075a3 target=n_c7e261c458c5\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1376,"provenance":{"base_record_id":"train-d02-023","dataset":"livegraph-deterministic-parity-v3","depth":2,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d02-023","split":"train","variant":"clean"},"record_seed":723430766157574076,"render_sha256":"1f669c36708a26ab606a37f9a212515787f938325119b6150b8ce296d53c7e9a","representation":"linear_trace","semantic_sha256":"c2fd5c61899bc21a7b96e5c1df0d72840bf259924716a89c6bf6e7858fb14eb5"}
{"char_count":2612,"item_id":"train-d02-024::linear_trace","label":"TRUE","lexical_token_proxy_count":452,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_696aa67a8f86 node_type=claim\nt=0001 CREATE_NODE id=n_70d6f952b8ee node_type=claim\nt=0002 CREATE_NODE id=n_4b17deb4c889 node_type=claim\nt=0003 CREATE_NODE id=n_cb7a05dfaebf node_type=claim\nt=0004 CREATE_NODE id=n_6acff33dfe6c node_type=claim\nt=0005 CREATE_NODE id=n_097058a71e57 node_type=claim\nt=0006 CREATE_NODE id=n_03ad5215dc03 node_type=claim\nt=0007 CREATE_NODE id=n_6f8f0949e10c node_type=claim\nt=0008 CREATE_NODE id=n_ecf0b80e71a9 node_type=claim\nt=0009 CREATE_NODE id=n_57f35a766826 node_type=claim\nt=0010 CREATE_NODE id=n_9ef033690bc2 node_type=claim\nt=0011 CREATE_NODE id=n_0292cee38694 node_type=claim\nt=0012 CREATE_NODE id=n_ed53a77da4c6 node_type=claim\nt=0013 CREATE_NODE id=n_36076d7de083 node_type=claim\nt=0014 ASSERT_ROOT node=n_0292cee38694 value=TRUE\nt=0015 ADD_EDGE edge_id=e_48f5542da290 source=n_cb7a05dfaebf edge_type=refutes target=n_36076d7de083\nt=0016 ADD_EDGE edge_id=e_74bb8b9cfe7b source=n_0292cee38694 edge_type=refutes target=n_03ad5215dc03\nt=0017 ADD_EDGE edge_id=e_8d125c7bf6c9 source=n_097058a71e57 edge_type=supports target=n_696aa67a8f86\nt=0018 ADD_EDGE edge_id=e_44ed23e774b3 source=n_6acff33dfe6c edge_type=supports target=n_ed53a77da4c6\nt=0019 ADD_EDGE edge_id=e_bf103cefb86f source=n_03ad5215dc03 edge_type=refutes target=n_6f8f0949e10c\nt=0020 ADD_EDGE edge_id=e_6e115c4d525f source=n_097058a71e57 edge_type=refutes target=n_9ef033690bc2\nt=0021 ADD_EDGE edge_id=e_4ad8fdad39f2 source=n_696aa67a8f86 edge_type=refutes target=n_cb7a05dfaebf\nt=0022 ADD_EDGE edge_id=e_586d770c9572 source=n_6f8f0949e10c edge_type=supports target=n_57f35a766826\nt=0023 ADD_EDGE edge_id=e_564ebdd19a1d source=n_6f8f0949e10c edge_type=supports target=n_ecf0b80e71a9\nt=0024 ADD_EDGE edge_id=e_95fd356ae2c4 source=n_9ef033690bc2 edge_type=supports target=n_6acff33dfe6c\nt=0025 ADD_EDGE edge_id=e_c5dbde2157c1 source=n_03ad5215dc03 edge_type=refutes target=n_4b17deb4c889\nt=0026 ADD_EDGE edge_id=e_c77fe9c43bb9 source=n_03ad5215dc03 edge_type=supports target=n_70d6f952b8ee\nt=0027 QUERY source=n_0292cee38694 target=n_6f8f0949e10c\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1338,"provenance":{"base_record_id":"train-d02-024","dataset":"livegraph-deterministic-parity-v3","depth":2,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d02-024","split":"train","variant":"clean"},"record_seed":213178822607610990,"render_sha256":"e0b56b1249f5ae446d810fd86319e303b3bc95ce9c526b43378e52f5067f5395","representation":"linear_trace","semantic_sha256":"8ebe359b431530d328ff21d8e12ce7a8c2fe3cb6b3ec76f4aba2b4091f87bc46"}
{"char_count":2612,"item_id":"train-d02-025::linear_trace","label":"FALSE","lexical_token_proxy_count":452,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_354c5b22e6bb node_type=claim\nt=0001 CREATE_NODE id=n_0b2b30cbd626 node_type=claim\nt=0002 CREATE_NODE id=n_18d4d2aa4228 node_type=claim\nt=0003 CREATE_NODE id=n_e81fa2e2596e node_type=claim\nt=0004 CREATE_NODE id=n_a0a5903163c0 node_type=claim\nt=0005 CREATE_NODE id=n_4429974a1968 node_type=claim\nt=0006 CREATE_NODE id=n_2e100b9433ce node_type=claim\nt=0007 CREATE_NODE id=n_738842f241a4 node_type=claim\nt=0008 CREATE_NODE id=n_2640bf08f5c4 node_type=claim\nt=0009 CREATE_NODE id=n_cbb12cf587db node_type=claim\nt=0010 CREATE_NODE id=n_8d4c0299a131 node_type=claim\nt=0011 CREATE_NODE id=n_0094933f2dec node_type=claim\nt=0012 CREATE_NODE id=n_88c0f74b0e64 node_type=claim\nt=0013 CREATE_NODE id=n_1c84fafb7fbd node_type=claim\nt=0014 ASSERT_ROOT node=n_18d4d2aa4228 value=TRUE\nt=0015 ADD_EDGE edge_id=e_15070ec91481 source=n_4429974a1968 edge_type=supports target=n_738842f241a4\nt=0016 ADD_EDGE edge_id=e_a3abac0340a3 source=n_e81fa2e2596e edge_type=refutes target=n_0b2b30cbd626\nt=0017 ADD_EDGE edge_id=e_66bf9e7f89a9 source=n_88c0f74b0e64 edge_type=refutes target=n_a0a5903163c0\nt=0018 ADD_EDGE edge_id=e_087f35ce7652 source=n_88c0f74b0e64 edge_type=refutes target=n_0094933f2dec\nt=0019 ADD_EDGE edge_id=e_e070c6cce375 source=n_18d4d2aa4228 edge_type=supports target=n_8d4c0299a131\nt=0020 ADD_EDGE edge_id=e_766ac48a320b source=n_e81fa2e2596e edge_type=supports target=n_cbb12cf587db\nt=0021 ADD_EDGE edge_id=e_880aea62152d source=n_738842f241a4 edge_type=supports target=n_1c84fafb7fbd\nt=0022 ADD_EDGE edge_id=e_570fcdbdea3d source=n_88c0f74b0e64 edge_type=supports target=n_2640bf08f5c4\nt=0023 ADD_EDGE edge_id=e_dc09d8e6abbd source=n_18d4d2aa4228 edge_type=refutes target=n_354c5b22e6bb\nt=0024 ADD_EDGE edge_id=e_ab469071879a source=n_18d4d2aa4228 edge_type=refutes target=n_2e100b9433ce\nt=0025 ADD_EDGE edge_id=e_8ee791edaf21 source=n_2640bf08f5c4 edge_type=supports target=n_e81fa2e2596e\nt=0026 ADD_EDGE edge_id=e_0b76e97252f3 source=n_18d4d2aa4228 edge_type=refutes target=n_4429974a1968\nt=0027 QUERY source=n_18d4d2aa4228 target=n_738842f241a4\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1363,"provenance":{"base_record_id":"train-d02-025","dataset":"livegraph-deterministic-parity-v3","depth":2,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d02-025","split":"train","variant":"clean"},"record_seed":1015466097665143891,"render_sha256":"2e0d3004ef719797809d0bd201bb9805891bce3d9d01c725e1cb0b4241e12de4","representation":"linear_trace","semantic_sha256":"3b8ad4cbcdfda72eb91ca6985076d8b33c73052ba8d1440a4e5e94309e4c9468"}
{"char_count":2613,"item_id":"train-d02-026::linear_trace","label":"TRUE","lexical_token_proxy_count":452,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_82bfa765f476 node_type=claim\nt=0001 CREATE_NODE id=n_8e9a0dd5f512 node_type=claim\nt=0002 CREATE_NODE id=n_37b217ea5787 node_type=claim\nt=0003 CREATE_NODE id=n_a9a201ce1942 node_type=claim\nt=0004 CREATE_NODE id=n_9e2fa87b4add node_type=claim\nt=0005 CREATE_NODE id=n_5f6b9b797b5c node_type=claim\nt=0006 CREATE_NODE id=n_423057ca9571 node_type=claim\nt=0007 CREATE_NODE id=n_d51ed06431a3 node_type=claim\nt=0008 CREATE_NODE id=n_be2f13e10ec3 node_type=claim\nt=0009 CREATE_NODE id=n_5804c13ded7b node_type=claim\nt=0010 CREATE_NODE id=n_003877744355 node_type=claim\nt=0011 CREATE_NODE id=n_3955d0549886 node_type=claim\nt=0012 CREATE_NODE id=n_a3fcf701cbef node_type=claim\nt=0013 CREATE_NODE id=n_b2600afc4e5d node_type=claim\nt=0014 ASSERT_ROOT node=n_a9a201ce1942 value=FALSE\nt=0015 ADD_EDGE edge_id=e_81e45a657a32 source=n_003877744355 edge_type=supports target=n_3955d0549886\nt=0016 ADD_EDGE edge_id=e_80bfde20a675 source=n_003877744355 edge_type=supports target=n_82bfa765f476\nt=0017 ADD_EDGE edge_id=e_fd64c147e9e9 source=n_a9a201ce1942 edge_type=refutes target=n_9e2fa87b4add\nt=0018 ADD_EDGE edge_id=e_416289dde7e3 source=n_a9a201ce1942 edge_type=supports target=n_37b217ea5787\nt=0019 ADD_EDGE edge_id=e_5fc1fb26f86b source=n_5804c13ded7b edge_type=refutes target=n_b2600afc4e5d\nt=0020 ADD_EDGE edge_id=e_49140d3510a6 source=n_8e9a0dd5f512 edge_type=supports target=n_5f6b9b797b5c\nt=0021 ADD_EDGE edge_id=e_ccdde77f2b3f source=n_9e2fa87b4add edge_type=supports target=n_5804c13ded7b\nt=0022 ADD_EDGE edge_id=e_55413694d8b0 source=n_9e2fa87b4add edge_type=supports target=n_423057ca9571\nt=0023 ADD_EDGE edge_id=e_2e57b535ca3b source=n_82bfa765f476 edge_type=refutes target=n_8e9a0dd5f512\nt=0024 ADD_EDGE edge_id=e_94309e1c9543 source=n_a9a201ce1942 edge_type=refutes target=n_a3fcf701cbef\nt=0025 ADD_EDGE edge_id=e_99e2cac74013 source=n_003877744355 edge_type=refutes target=n_be2f13e10ec3\nt=0026 ADD_EDGE edge_id=e_0c64db973bbf source=n_be2f13e10ec3 edge_type=refutes target=n_d51ed06431a3\nt=0027 QUERY source=n_a9a201ce1942 target=n_5804c13ded7b\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1353,"provenance":{"base_record_id":"train-d02-026","dataset":"livegraph-deterministic-parity-v3","depth":2,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d02-026","split":"train","variant":"clean"},"record_seed":1018650692926086184,"render_sha256":"213ecdcf3eb7208fc553026dc60f0f4804ef0cce2bcded24d1fb9f1b6b05d412","representation":"linear_trace","semantic_sha256":"882a4f776da44a548990295c15ee5ccbb8304681801a6dcea8344d5a1107c78c"}
{"char_count":2613,"item_id":"train-d02-027::linear_trace","label":"FALSE","lexical_token_proxy_count":452,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_81f82eec53e8 node_type=claim\nt=0001 CREATE_NODE id=n_1308d12b5173 node_type=claim\nt=0002 CREATE_NODE id=n_3386b0c37ae4 node_type=claim\nt=0003 CREATE_NODE id=n_4ad68f85406a node_type=claim\nt=0004 CREATE_NODE id=n_e9d58598070b node_type=claim\nt=0005 CREATE_NODE id=n_b4f140b9aa28 node_type=claim\nt=0006 CREATE_NODE id=n_2766b1d44ec4 node_type=claim\nt=0007 CREATE_NODE id=n_26ac0824eafd node_type=claim\nt=0008 CREATE_NODE id=n_149bb12a5fc6 node_type=claim\nt=0009 CREATE_NODE id=n_e3c0574db679 node_type=claim\nt=0010 CREATE_NODE id=n_8f9ec9825e04 node_type=claim\nt=0011 CREATE_NODE id=n_fa0d8f90f4a9 node_type=claim\nt=0012 CREATE_NODE id=n_3bcfc34a6ba5 node_type=claim\nt=0013 CREATE_NODE id=n_a5112d9fefd5 node_type=claim\nt=0014 ASSERT_ROOT node=n_26ac0824eafd value=FALSE\nt=0015 ADD_EDGE edge_id=e_be50ae3a2138 source=n_4ad68f85406a edge_type=supports target=n_fa0d8f90f4a9\nt=0016 ADD_EDGE edge_id=e_8655e6139f7b source=n_81f82eec53e8 edge_type=supports target=n_2766b1d44ec4\nt=0017 ADD_EDGE edge_id=e_6a49ad988935 source=n_8f9ec9825e04 edge_type=supports target=n_e9d58598070b\nt=0018 ADD_EDGE edge_id=e_f318bd2388e2 source=n_8f9ec9825e04 edge_type=refutes target=n_3386b0c37ae4\nt=0019 ADD_EDGE edge_id=e_568a3a4ea111 source=n_149bb12a5fc6 edge_type=refutes target=n_1308d12b5173\nt=0020 ADD_EDGE edge_id=e_014f9ab74459 source=n_149bb12a5fc6 edge_type=supports target=n_e3c0574db679\nt=0021 ADD_EDGE edge_id=e_1eddbb460c12 source=n_e3c0574db679 edge_type=refutes target=n_b4f140b9aa28\nt=0022 ADD_EDGE edge_id=e_d174dcca4ddf source=n_8f9ec9825e04 edge_type=refutes target=n_81f82eec53e8\nt=0023 ADD_EDGE edge_id=e_ee2df7751783 source=n_81f82eec53e8 edge_type=supports target=n_3bcfc34a6ba5\nt=0024 ADD_EDGE edge_id=e_746bca5f7b82 source=n_149bb12a5fc6 edge_type=refutes target=n_4ad68f85406a\nt=0025 ADD_EDGE edge_id=e_e1fb74b556dd source=n_26ac0824eafd edge_type=refutes target=n_8f9ec9825e04\nt=0026 ADD_EDGE edge_id=e_959e816ea81a source=n_1308d12b5173 edge_type=supports target=n_a5112d9fefd5\nt=0027 QUERY source=n_26ac0824eafd target=n_81f82eec53e8\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1353,"provenance":{"base_record_id":"train-d02-027","dataset":"livegraph-deterministic-parity-v3","depth":2,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d02-027","split":"train","variant":"clean"},"record_seed":597710193003354163,"render_sha256":"75674b1cf2d847a331fc432126a0a131b0186d48a1dd8027b9e5cbc00c7511e2","representation":"linear_trace","semantic_sha256":"02dad2c80be9f1c33c0747d78e90b96240accded23b8ff787a88ce4f766c287b"}
{"char_count":2612,"item_id":"train-d02-028::linear_trace","label":"TRUE","lexical_token_proxy_count":452,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_08d3e0489456 node_type=claim\nt=0001 CREATE_NODE id=n_8bc9e1c4cb7b node_type=claim\nt=0002 CREATE_NODE id=n_f5bea7642206 node_type=claim\nt=0003 CREATE_NODE id=n_04e7a501c8b2 node_type=claim\nt=0004 CREATE_NODE id=n_b7af5fa5a843 node_type=claim\nt=0005 CREATE_NODE id=n_5020450ff121 node_type=claim\nt=0006 CREATE_NODE id=n_42648100519c node_type=claim\nt=0007 CREATE_NODE id=n_21456dedfc66 node_type=claim\nt=0008 CREATE_NODE id=n_e106ba498002 node_type=claim\nt=0009 CREATE_NODE id=n_8562f0728423 node_type=claim\nt=0010 CREATE_NODE id=n_907f813b5fac node_type=claim\nt=0011 CREATE_NODE id=n_a273d5fcc1b9 node_type=claim\nt=0012 CREATE_NODE id=n_bd3de90cef32 node_type=claim\nt=0013 CREATE_NODE id=n_d6b1bc1dd7e2 node_type=claim\nt=0014 ASSERT_ROOT node=n_8562f0728423 value=TRUE\nt=0015 ADD_EDGE edge_id=e_1f5992e0588b source=n_42648100519c edge_type=supports target=n_b7af5fa5a843\nt=0016 ADD_EDGE edge_id=e_862289c4a18a source=n_bd3de90cef32 edge_type=supports target=n_5020450ff121\nt=0017 ADD_EDGE edge_id=e_af8fc0f4a353 source=n_bd3de90cef32 edge_type=refutes target=n_42648100519c\nt=0018 ADD_EDGE edge_id=e_7c936d20928c source=n_e106ba498002 edge_type=supports target=n_907f813b5fac\nt=0019 ADD_EDGE edge_id=e_ae50ffd3edd4 source=n_8562f0728423 edge_type=refutes target=n_bd3de90cef32\nt=0020 ADD_EDGE edge_id=e_bbe852d17ac2 source=n_e106ba498002 edge_type=refutes target=n_08d3e0489456\nt=0021 ADD_EDGE edge_id=e_4b1c3c32da56 source=n_8562f0728423 edge_type=refutes target=n_8bc9e1c4cb7b\nt=0022 ADD_EDGE edge_id=e_34dc24558f15 source=n_8562f0728423 edge_type=supports target=n_a273d5fcc1b9\nt=0023 ADD_EDGE edge_id=e_b80d9f88f80a source=n_e106ba498002 edge_type=refutes target=n_04e7a501c8b2\nt=0024 ADD_EDGE edge_id=e_193c4798a143 source=n_d6b1bc1dd7e2 edge_type=supports target=n_21456dedfc66\nt=0025 ADD_EDGE edge_id=e_401e723bee68 source=n_08d3e0489456 edge_type=supports target=n_f5bea7642206\nt=0026 ADD_EDGE edge_id=e_6ce57081a95b source=n_907f813b5fac edge_type=refutes target=n_d6b1bc1dd7e2\nt=0027 QUERY source=n_8562f0728423 target=n_42648100519c\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1351,"provenance":{"base_record_id":"train-d02-028","dataset":"livegraph-deterministic-parity-v3","depth":2,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d02-028","split":"train","variant":"clean"},"record_seed":523455820568472208,"render_sha256":"252302d5913588f6f668c13fa19568e30c5fa32fd3f8e3df4a871be56c2569cc","representation":"linear_trace","semantic_sha256":"175e1306861e560692d402d3c059926112ec9c115de8be97fcce76d646f8b7f1"}
{"char_count":2612,"item_id":"train-d02-029::linear_trace","label":"FALSE","lexical_token_proxy_count":452,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_badd04699289 node_type=claim\nt=0001 CREATE_NODE id=n_11a9208826af node_type=claim\nt=0002 CREATE_NODE id=n_2426b54747ae node_type=claim\nt=0003 CREATE_NODE id=n_f83008274690 node_type=claim\nt=0004 CREATE_NODE id=n_a869a76f2459 node_type=claim\nt=0005 CREATE_NODE id=n_b98bdc5d4df0 node_type=claim\nt=0006 CREATE_NODE id=n_efb32d4d04bd node_type=claim\nt=0007 CREATE_NODE id=n_a299ca15965a node_type=claim\nt=0008 CREATE_NODE id=n_6446a87f76c2 node_type=claim\nt=0009 CREATE_NODE id=n_1943b854b55c node_type=claim\nt=0010 CREATE_NODE id=n_f2211cc1fe99 node_type=claim\nt=0011 CREATE_NODE id=n_c77749088e2e node_type=claim\nt=0012 CREATE_NODE id=n_c5e5cf970ed4 node_type=claim\nt=0013 CREATE_NODE id=n_7da9e9bfd0e1 node_type=claim\nt=0014 ASSERT_ROOT node=n_efb32d4d04bd value=TRUE\nt=0015 ADD_EDGE edge_id=e_18363278b7d3 source=n_f83008274690 edge_type=refutes target=n_b98bdc5d4df0\nt=0016 ADD_EDGE edge_id=e_da9c14bc2015 source=n_f83008274690 edge_type=supports target=n_f2211cc1fe99\nt=0017 ADD_EDGE edge_id=e_1423d9efaf2f source=n_2426b54747ae edge_type=supports target=n_11a9208826af\nt=0018 ADD_EDGE edge_id=e_ff5d9c1d838c source=n_1943b854b55c edge_type=supports target=n_a869a76f2459\nt=0019 ADD_EDGE edge_id=e_700a07ae04fd source=n_c5e5cf970ed4 edge_type=refutes target=n_1943b854b55c\nt=0020 ADD_EDGE edge_id=e_b0f695993128 source=n_a299ca15965a edge_type=supports target=n_2426b54747ae\nt=0021 ADD_EDGE edge_id=e_09b10232ebc1 source=n_1943b854b55c edge_type=refutes target=n_7da9e9bfd0e1\nt=0022 ADD_EDGE edge_id=e_187d4dac946f source=n_f83008274690 edge_type=refutes target=n_a299ca15965a\nt=0023 ADD_EDGE edge_id=e_4b6ebf8667c6 source=n_efb32d4d04bd edge_type=supports target=n_c5e5cf970ed4\nt=0024 ADD_EDGE edge_id=e_090476b7cf7e source=n_b98bdc5d4df0 edge_type=refutes target=n_6446a87f76c2\nt=0025 ADD_EDGE edge_id=e_ef5524fc92fe source=n_c5e5cf970ed4 edge_type=refutes target=n_c77749088e2e\nt=0026 ADD_EDGE edge_id=e_948f6298be31 source=n_efb32d4d04bd edge_type=supports target=n_badd04699289\nt=0027 QUERY source=n_efb32d4d04bd target=n_1943b854b55c\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1360,"provenance":{"base_record_id":"train-d02-029","dataset":"livegraph-deterministic-parity-v3","depth":2,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d02-029","split":"train","variant":"clean"},"record_seed":161235572286404968,"render_sha256":"af3a582c3f73b4a522e3b85b3c82176eb9e269bae5260165c52cdc6a681592a2","representation":"linear_trace","semantic_sha256":"c83639dea6a29edfb11c672a34d89c78151994e8e496048560376f2a36315312"}
{"char_count":2613,"item_id":"train-d02-030::linear_trace","label":"TRUE","lexical_token_proxy_count":452,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_e0381e68b40a node_type=claim\nt=0001 CREATE_NODE id=n_b52121e59fc6 node_type=claim\nt=0002 CREATE_NODE id=n_ddec774508af node_type=claim\nt=0003 CREATE_NODE id=n_ca464e0ae6a7 node_type=claim\nt=0004 CREATE_NODE id=n_6f93712709b8 node_type=claim\nt=0005 CREATE_NODE id=n_ad15c5734f1c node_type=claim\nt=0006 CREATE_NODE id=n_019a715d696b node_type=claim\nt=0007 CREATE_NODE id=n_054516e92741 node_type=claim\nt=0008 CREATE_NODE id=n_ae97f4b0ef45 node_type=claim\nt=0009 CREATE_NODE id=n_219f04c67a9d node_type=claim\nt=0010 CREATE_NODE id=n_2f4375064680 node_type=claim\nt=0011 CREATE_NODE id=n_4edb39a91dc9 node_type=claim\nt=0012 CREATE_NODE id=n_62c6a1fa97ed node_type=claim\nt=0013 CREATE_NODE id=n_ad8b892bc3af node_type=claim\nt=0014 ASSERT_ROOT node=n_ddec774508af value=FALSE\nt=0015 ADD_EDGE edge_id=e_76c8e52a4acb source=n_ddec774508af edge_type=supports target=n_6f93712709b8\nt=0016 ADD_EDGE edge_id=e_969f48163346 source=n_019a715d696b edge_type=refutes target=n_ca464e0ae6a7\nt=0017 ADD_EDGE edge_id=e_c7b7549bdd9a source=n_019a715d696b edge_type=refutes target=n_ad8b892bc3af\nt=0018 ADD_EDGE edge_id=e_7471c2610a7a source=n_ddec774508af edge_type=supports target=n_62c6a1fa97ed\nt=0019 ADD_EDGE edge_id=e_f953ee85ccfa source=n_ad15c5734f1c edge_type=refutes target=n_ae97f4b0ef45\nt=0020 ADD_EDGE edge_id=e_61f5caa6dcb5 source=n_ae97f4b0ef45 edge_type=supports target=n_4edb39a91dc9\nt=0021 ADD_EDGE edge_id=e_ce796d31c46c source=n_2f4375064680 edge_type=refutes target=n_b52121e59fc6\nt=0022 ADD_EDGE edge_id=e_0015e5537ad0 source=n_ad15c5734f1c edge_type=supports target=n_019a715d696b\nt=0023 ADD_EDGE edge_id=e_2fccc98a6c39 source=n_ddec774508af edge_type=supports target=n_054516e92741\nt=0024 ADD_EDGE edge_id=e_fabf6abd54e0 source=n_ad15c5734f1c edge_type=refutes target=n_e0381e68b40a\nt=0025 ADD_EDGE edge_id=e_52f4934c535d source=n_ddec774508af edge_type=refutes target=n_219f04c67a9d\nt=0026 ADD_EDGE edge_id=e_2dbd8cfce9f5 source=n_ddec774508af edge_type=supports target=n_2f4375064680\nt=0027 QUERY source=n_ddec774508af target=n_b52121e59fc6\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1345,"provenance":{"base_record_id":"train-d02-030","dataset":"livegraph-deterministic-parity-v3","depth":2,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d02-030","split":"train","variant":"clean"},"record_seed":91352795058889213,"render_sha256":"9ae1c2d61837e76273c6d6a7e8fbab59c190d1422334e3502e77f479523a9aa7","representation":"linear_trace","semantic_sha256":"3227c7b6aabd30c21cd72e382420906a8d45acfc5d1903f12649716dec9d2144"}
{"char_count":2613,"item_id":"train-d02-031::linear_trace","label":"FALSE","lexical_token_proxy_count":452,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_379c8f63326e node_type=claim\nt=0001 CREATE_NODE id=n_e446d0d406b9 node_type=claim\nt=0002 CREATE_NODE id=n_964fd8b71f61 node_type=claim\nt=0003 CREATE_NODE id=n_bd07a5163242 node_type=claim\nt=0004 CREATE_NODE id=n_394b0f911267 node_type=claim\nt=0005 CREATE_NODE id=n_31f11b83ba05 node_type=claim\nt=0006 CREATE_NODE id=n_440250f6e8b2 node_type=claim\nt=0007 CREATE_NODE id=n_cf0726f34459 node_type=claim\nt=0008 CREATE_NODE id=n_4f9d69e02f84 node_type=claim\nt=0009 CREATE_NODE id=n_930a60239397 node_type=claim\nt=0010 CREATE_NODE id=n_dc9b7bf72406 node_type=claim\nt=0011 CREATE_NODE id=n_18ab9fd623c9 node_type=claim\nt=0012 CREATE_NODE id=n_5ca689c1b74c node_type=claim\nt=0013 CREATE_NODE id=n_29ff68b76a5e node_type=claim\nt=0014 ASSERT_ROOT node=n_29ff68b76a5e value=FALSE\nt=0015 ADD_EDGE edge_id=e_2b35d41c90dd source=n_4f9d69e02f84 edge_type=refutes target=n_394b0f911267\nt=0016 ADD_EDGE edge_id=e_96658920f088 source=n_e446d0d406b9 edge_type=supports target=n_440250f6e8b2\nt=0017 ADD_EDGE edge_id=e_399dcc882d48 source=n_29ff68b76a5e edge_type=supports target=n_e446d0d406b9\nt=0018 ADD_EDGE edge_id=e_bbc94ecc4bce source=n_964fd8b71f61 edge_type=refutes target=n_31f11b83ba05\nt=0019 ADD_EDGE edge_id=e_865f7880c424 source=n_5ca689c1b74c edge_type=supports target=n_cf0726f34459\nt=0020 ADD_EDGE edge_id=e_447e8a8a8d42 source=n_e446d0d406b9 edge_type=supports target=n_5ca689c1b74c\nt=0021 ADD_EDGE edge_id=e_0f6541612064 source=n_930a60239397 edge_type=refutes target=n_bd07a5163242\nt=0022 ADD_EDGE edge_id=e_73da84a1e578 source=n_394b0f911267 edge_type=refutes target=n_18ab9fd623c9\nt=0023 ADD_EDGE edge_id=e_a361b6d3c6ad source=n_964fd8b71f61 edge_type=refutes target=n_930a60239397\nt=0024 ADD_EDGE edge_id=e_9a506a7cd697 source=n_930a60239397 edge_type=refutes target=n_4f9d69e02f84\nt=0025 ADD_EDGE edge_id=e_3cc81fb0346b source=n_e446d0d406b9 edge_type=supports target=n_dc9b7bf72406\nt=0026 ADD_EDGE edge_id=e_781007ae7868 source=n_5ca689c1b74c edge_type=supports target=n_379c8f63326e\nt=0027 QUERY source=n_29ff68b76a5e target=n_5ca689c1b74c\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1381,"provenance":{"base_record_id":"train-d02-031","dataset":"livegraph-deterministic-parity-v3","depth":2,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d02-031","split":"train","variant":"clean"},"record_seed":914569369451426914,"render_sha256":"38edb2bd4803ab3b99e47e1572bf706609a9487ed7711f261b061e4ebd8999b7","representation":"linear_trace","semantic_sha256":"35a91f2445fc5855998ef6d7c5e08747eedc187774dc0ae1aa106ab12c3a3917"}
{"char_count":2612,"item_id":"train-d02-032::linear_trace","label":"TRUE","lexical_token_proxy_count":452,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_e0b3c6319257 node_type=claim\nt=0001 CREATE_NODE id=n_a54ffd319551 node_type=claim\nt=0002 CREATE_NODE id=n_9e34b5a182c6 node_type=claim\nt=0003 CREATE_NODE id=n_ae36536ba1aa node_type=claim\nt=0004 CREATE_NODE id=n_3d7cc7d13079 node_type=claim\nt=0005 CREATE_NODE id=n_d7a46e9f8aa9 node_type=claim\nt=0006 CREATE_NODE id=n_378acb3c7763 node_type=claim\nt=0007 CREATE_NODE id=n_4053f506222a node_type=claim\nt=0008 CREATE_NODE id=n_b5c9d3b34ee5 node_type=claim\nt=0009 CREATE_NODE id=n_d8dcc70c2616 node_type=claim\nt=0010 CREATE_NODE id=n_00d704d93f5f node_type=claim\nt=0011 CREATE_NODE id=n_496c331d0611 node_type=claim\nt=0012 CREATE_NODE id=n_e6fe8e1c855c node_type=claim\nt=0013 CREATE_NODE id=n_961201790b3d node_type=claim\nt=0014 ASSERT_ROOT node=n_ae36536ba1aa value=TRUE\nt=0015 ADD_EDGE edge_id=e_577560e61763 source=n_3d7cc7d13079 edge_type=refutes target=n_378acb3c7763\nt=0016 ADD_EDGE edge_id=e_2b7ecf133913 source=n_ae36536ba1aa edge_type=refutes target=n_e0b3c6319257\nt=0017 ADD_EDGE edge_id=e_61eebd47a781 source=n_ae36536ba1aa edge_type=supports target=n_9e34b5a182c6\nt=0018 ADD_EDGE edge_id=e_0bbf6e3a65aa source=n_d8dcc70c2616 edge_type=refutes target=n_961201790b3d\nt=0019 ADD_EDGE edge_id=e_389c4b7fa006 source=n_d8dcc70c2616 edge_type=supports target=n_a54ffd319551\nt=0020 ADD_EDGE edge_id=e_86f1fb7f8b2a source=n_961201790b3d edge_type=refutes target=n_4053f506222a\nt=0021 ADD_EDGE edge_id=e_e9e22e9940da source=n_9e34b5a182c6 edge_type=supports target=n_d7a46e9f8aa9\nt=0022 ADD_EDGE edge_id=e_78a0e04f246c source=n_9e34b5a182c6 edge_type=supports target=n_496c331d0611\nt=0023 ADD_EDGE edge_id=e_d3a8df07f8d8 source=n_9e34b5a182c6 edge_type=refutes target=n_00d704d93f5f\nt=0024 ADD_EDGE edge_id=e_149086e84f1f source=n_d8dcc70c2616 edge_type=supports target=n_b5c9d3b34ee5\nt=0025 ADD_EDGE edge_id=e_a3f27801fd66 source=n_496c331d0611 edge_type=refutes target=n_e6fe8e1c855c\nt=0026 ADD_EDGE edge_id=e_2d0e4c2db792 source=n_961201790b3d edge_type=supports target=n_3d7cc7d13079\nt=0027 QUERY source=n_ae36536ba1aa target=n_496c331d0611\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1375,"provenance":{"base_record_id":"train-d02-032","dataset":"livegraph-deterministic-parity-v3","depth":2,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d02-032","split":"train","variant":"clean"},"record_seed":446659723674790871,"render_sha256":"1279d8f7517cdefce34e3e3c10a4acb3c6e796808fce0c30955368366ec5f65d","representation":"linear_trace","semantic_sha256":"aa8d303e70fa413113499205e7c43fe7524a6273596b3f3166a65f3d01ebf713"}
{"char_count":2612,"item_id":"train-d02-033::linear_trace","label":"FALSE","lexical_token_proxy_count":452,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_4905e95eb527 node_type=claim\nt=0001 CREATE_NODE id=n_0a676310b03d node_type=claim\nt=0002 CREATE_NODE id=n_757f96eb35ee node_type=claim\nt=0003 CREATE_NODE id=n_fab2b22979b0 node_type=claim\nt=0004 CREATE_NODE id=n_7e68fe1fe4f5 node_type=claim\nt=0005 CREATE_NODE id=n_216d34e4bb3e node_type=claim\nt=0006 CREATE_NODE id=n_254c70e9b13e node_type=claim\nt=0007 CREATE_NODE id=n_012a67901cfd node_type=claim\nt=0008 CREATE_NODE id=n_807032ddbfaf node_type=claim\nt=0009 CREATE_NODE id=n_e0f2cb745678 node_type=claim\nt=0010 CREATE_NODE id=n_36c0a087df8f node_type=claim\nt=0011 CREATE_NODE id=n_ca5bdd3189e1 node_type=claim\nt=0012 CREATE_NODE id=n_f26a0eaa8954 node_type=claim\nt=0013 CREATE_NODE id=n_dca211b70dba node_type=claim\nt=0014 ASSERT_ROOT node=n_f26a0eaa8954 value=TRUE\nt=0015 ADD_EDGE edge_id=e_f85be15a1b5a source=n_e0f2cb745678 edge_type=refutes target=n_216d34e4bb3e\nt=0016 ADD_EDGE edge_id=e_b5173f7a3f51 source=n_f26a0eaa8954 edge_type=supports target=n_254c70e9b13e\nt=0017 ADD_EDGE edge_id=e_bee3cb3bf7ab source=n_f26a0eaa8954 edge_type=refutes target=n_7e68fe1fe4f5\nt=0018 ADD_EDGE edge_id=e_6e9448c99976 source=n_f26a0eaa8954 edge_type=supports target=n_fab2b22979b0\nt=0019 ADD_EDGE edge_id=e_d5226e9c98e7 source=n_757f96eb35ee edge_type=refutes target=n_012a67901cfd\nt=0020 ADD_EDGE edge_id=e_b23771f03efc source=n_0a676310b03d edge_type=supports target=n_e0f2cb745678\nt=0021 ADD_EDGE edge_id=e_f6c943e645d9 source=n_0a676310b03d edge_type=refutes target=n_dca211b70dba\nt=0022 ADD_EDGE edge_id=e_5885392f1517 source=n_ca5bdd3189e1 edge_type=refutes target=n_36c0a087df8f\nt=0023 ADD_EDGE edge_id=e_c6825ed9019f source=n_757f96eb35ee edge_type=refutes target=n_807032ddbfaf\nt=0024 ADD_EDGE edge_id=e_946cf6d42a90 source=n_7e68fe1fe4f5 edge_type=supports target=n_757f96eb35ee\nt=0025 ADD_EDGE edge_id=e_0f6ad2ae181c source=n_ca5bdd3189e1 edge_type=supports target=n_0a676310b03d\nt=0026 ADD_EDGE edge_id=e_fa97f07b5ca1 source=n_ca5bdd3189e1 edge_type=supports target=n_4905e95eb527\nt=0027 QUERY source=n_f26a0eaa8954 target=n_757f96eb35ee\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1340,"provenance":{"base_record_id":"train-d02-033","dataset":"livegraph-deterministic-parity-v3","depth":2,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d02-033","split":"train","variant":"clean"},"record_seed":185770026024511183,"render_sha256":"b4ededa157e1c414b4e34bb99b2a32ec904f7ebf59ee97a2f0d9c72b390566c2","representation":"linear_trace","semantic_sha256":"46180e54739f9479075dd6c4259639cee599064e37219a9b488cdb125538a1db"}
{"char_count":2613,"item_id":"train-d02-034::linear_trace","label":"TRUE","lexical_token_proxy_count":452,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_e5c87c23be9c node_type=claim\nt=0001 CREATE_NODE id=n_6c644339543a node_type=claim\nt=0002 CREATE_NODE id=n_94fe5b4a0f15 node_type=claim\nt=0003 CREATE_NODE id=n_419807ef7456 node_type=claim\nt=0004 CREATE_NODE id=n_5126bb8eb2bf node_type=claim\nt=0005 CREATE_NODE id=n_e804489b1c3f node_type=claim\nt=0006 CREATE_NODE id=n_98700ece9aaf node_type=claim\nt=0007 CREATE_NODE id=n_788435423cbe node_type=claim\nt=0008 CREATE_NODE id=n_7e7f8271107c node_type=claim\nt=0009 CREATE_NODE id=n_4204cfe738e0 node_type=claim\nt=0010 CREATE_NODE id=n_66b15bb94c3f node_type=claim\nt=0011 CREATE_NODE id=n_c9155250f3c6 node_type=claim\nt=0012 CREATE_NODE id=n_7d107ff7295c node_type=claim\nt=0013 CREATE_NODE id=n_7a5c2e775f52 node_type=claim\nt=0014 ASSERT_ROOT node=n_7a5c2e775f52 value=FALSE\nt=0015 ADD_EDGE edge_id=e_c562ceb75f0a source=n_7e7f8271107c edge_type=refutes target=n_e804489b1c3f\nt=0016 ADD_EDGE edge_id=e_310390bda34a source=n_7a5c2e775f52 edge_type=supports target=n_e5c87c23be9c\nt=0017 ADD_EDGE edge_id=e_aa0898163a9e source=n_6c644339543a edge_type=supports target=n_66b15bb94c3f\nt=0018 ADD_EDGE edge_id=e_050f632afd39 source=n_7a5c2e775f52 edge_type=supports target=n_4204cfe738e0\nt=0019 ADD_EDGE edge_id=e_6e5455fc476b source=n_7e7f8271107c edge_type=supports target=n_c9155250f3c6\nt=0020 ADD_EDGE edge_id=e_d0aef2a7c941 source=n_66b15bb94c3f edge_type=supports target=n_5126bb8eb2bf\nt=0021 ADD_EDGE edge_id=e_d4a57fe05faf source=n_6c644339543a edge_type=refutes target=n_94fe5b4a0f15\nt=0022 ADD_EDGE edge_id=e_7b7fc1bc94ff source=n_66b15bb94c3f edge_type=refutes target=n_7d107ff7295c\nt=0023 ADD_EDGE edge_id=e_f425f2b00dc0 source=n_7e7f8271107c edge_type=refutes target=n_788435423cbe\nt=0024 ADD_EDGE edge_id=e_3fcc8ada7f2e source=n_94fe5b4a0f15 edge_type=refutes target=n_419807ef7456\nt=0025 ADD_EDGE edge_id=e_2deb6c8f1655 source=n_e5c87c23be9c edge_type=refutes target=n_7e7f8271107c\nt=0026 ADD_EDGE edge_id=e_8a9a2edb2565 source=n_66b15bb94c3f edge_type=supports target=n_98700ece9aaf\nt=0027 QUERY source=n_7a5c2e775f52 target=n_7e7f8271107c\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1365,"provenance":{"base_record_id":"train-d02-034","dataset":"livegraph-deterministic-parity-v3","depth":2,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d02-034","split":"train","variant":"clean"},"record_seed":39159456552158530,"render_sha256":"b8d45a68192a292e7efbf7ef1ce838e05c3eb0e61d10c7bd13f4bb991e099587","representation":"linear_trace","semantic_sha256":"5a1884ddb965044eb6fde6d528f110e031308660ed6f6561388afca072979c28"}
{"char_count":2613,"item_id":"train-d02-035::linear_trace","label":"FALSE","lexical_token_proxy_count":452,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_0e6b80142374 node_type=claim\nt=0001 CREATE_NODE id=n_99c6f99a65ac node_type=claim\nt=0002 CREATE_NODE id=n_bded5fb7f10f node_type=claim\nt=0003 CREATE_NODE id=n_fba874588a8e node_type=claim\nt=0004 CREATE_NODE id=n_3622d37f64e2 node_type=claim\nt=0005 CREATE_NODE id=n_7febad04c1a8 node_type=claim\nt=0006 CREATE_NODE id=n_41e88a9beb7a node_type=claim\nt=0007 CREATE_NODE id=n_53a6d46acc8c node_type=claim\nt=0008 CREATE_NODE id=n_c824ea1e3f09 node_type=claim\nt=0009 CREATE_NODE id=n_a2151da9d665 node_type=claim\nt=0010 CREATE_NODE id=n_aff18884e3f4 node_type=claim\nt=0011 CREATE_NODE id=n_8fcac4ef868a node_type=claim\nt=0012 CREATE_NODE id=n_3f4fb859a710 node_type=claim\nt=0013 CREATE_NODE id=n_799a4dfb0ded node_type=claim\nt=0014 ASSERT_ROOT node=n_3622d37f64e2 value=FALSE\nt=0015 ADD_EDGE edge_id=e_efd2867889da source=n_41e88a9beb7a edge_type=refutes target=n_bded5fb7f10f\nt=0016 ADD_EDGE edge_id=e_865f9e723f00 source=n_7febad04c1a8 edge_type=supports target=n_41e88a9beb7a\nt=0017 ADD_EDGE edge_id=e_19b6b11f73f8 source=n_3622d37f64e2 edge_type=refutes target=n_0e6b80142374\nt=0018 ADD_EDGE edge_id=e_e81177f1f464 source=n_aff18884e3f4 edge_type=supports target=n_799a4dfb0ded\nt=0019 ADD_EDGE edge_id=e_57aa8c01dc57 source=n_fba874588a8e edge_type=supports target=n_3f4fb859a710\nt=0020 ADD_EDGE edge_id=e_f9c60be0ba13 source=n_3622d37f64e2 edge_type=refutes target=n_a2151da9d665\nt=0021 ADD_EDGE edge_id=e_7554d45f4e57 source=n_fba874588a8e edge_type=supports target=n_8fcac4ef868a\nt=0022 ADD_EDGE edge_id=e_74ce9e36f961 source=n_7febad04c1a8 edge_type=refutes target=n_aff18884e3f4\nt=0023 ADD_EDGE edge_id=e_9bed915bccac source=n_a2151da9d665 edge_type=refutes target=n_fba874588a8e\nt=0024 ADD_EDGE edge_id=e_10dfb9f8dc9b source=n_7febad04c1a8 edge_type=supports target=n_53a6d46acc8c\nt=0025 ADD_EDGE edge_id=e_85143e2fd7f2 source=n_fba874588a8e edge_type=refutes target=n_99c6f99a65ac\nt=0026 ADD_EDGE edge_id=e_ea8aed301264 source=n_aff18884e3f4 edge_type=supports target=n_c824ea1e3f09\nt=0027 QUERY source=n_3622d37f64e2 target=n_fba874588a8e\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1340,"provenance":{"base_record_id":"train-d02-035","dataset":"livegraph-deterministic-parity-v3","depth":2,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d02-035","split":"train","variant":"clean"},"record_seed":843669841253833255,"render_sha256":"ba35834d2e086b69df3458f4599009e695f849256aaf12b24a2b8ad2e3509a65","representation":"linear_trace","semantic_sha256":"7069b100b6f58b23d94e873af5991d5058dc7a50e0be6c10fa5d845e6972c2d8"}
{"char_count":2612,"item_id":"train-d02-036::linear_trace","label":"TRUE","lexical_token_proxy_count":452,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_cc01db418713 node_type=claim\nt=0001 CREATE_NODE id=n_648abaa7a1af node_type=claim\nt=0002 CREATE_NODE id=n_14cac25c86c7 node_type=claim\nt=0003 CREATE_NODE id=n_5f53492451d6 node_type=claim\nt=0004 CREATE_NODE id=n_9f0fa285b157 node_type=claim\nt=0005 CREATE_NODE id=n_b49640fb0ec6 node_type=claim\nt=0006 CREATE_NODE id=n_71a9338b0126 node_type=claim\nt=0007 CREATE_NODE id=n_850f65718453 node_type=claim\nt=0008 CREATE_NODE id=n_6166ac6be58b node_type=claim\nt=0009 CREATE_NODE id=n_8035b18d06d2 node_type=claim\nt=0010 CREATE_NODE id=n_b294e01e019d node_type=claim\nt=0011 CREATE_NODE id=n_a4dc9cbf676c node_type=claim\nt=0012 CREATE_NODE id=n_4ae0e84ba5d6 node_type=claim\nt=0013 CREATE_NODE id=n_682a582c88b3 node_type=claim\nt=0014 ASSERT_ROOT node=n_cc01db418713 value=TRUE\nt=0015 ADD_EDGE edge_id=e_a9b4276a4780 source=n_850f65718453 edge_type=refutes target=n_4ae0e84ba5d6\nt=0016 ADD_EDGE edge_id=e_0b90fe78d81c source=n_cc01db418713 edge_type=refutes target=n_9f0fa285b157\nt=0017 ADD_EDGE edge_id=e_ab173badd33f source=n_b49640fb0ec6 edge_type=supports target=n_14cac25c86c7\nt=0018 ADD_EDGE edge_id=e_422c29b9fa9c source=n_cc01db418713 edge_type=refutes target=n_71a9338b0126\nt=0019 ADD_EDGE edge_id=e_a71baaee9c67 source=n_b294e01e019d edge_type=supports target=n_648abaa7a1af\nt=0020 ADD_EDGE edge_id=e_4804b8b75343 source=n_4ae0e84ba5d6 edge_type=supports target=n_5f53492451d6\nt=0021 ADD_EDGE edge_id=e_494ac804de98 source=n_b49640fb0ec6 edge_type=supports target=n_8035b18d06d2\nt=0022 ADD_EDGE edge_id=e_fc67fa37c563 source=n_a4dc9cbf676c edge_type=refutes target=n_682a582c88b3\nt=0023 ADD_EDGE edge_id=e_31d86bc70062 source=n_cc01db418713 edge_type=supports target=n_6166ac6be58b\nt=0024 ADD_EDGE edge_id=e_55df6b529ead source=n_71a9338b0126 edge_type=refutes target=n_b49640fb0ec6\nt=0025 ADD_EDGE edge_id=e_d66d48884a3f source=n_850f65718453 edge_type=refutes target=n_b294e01e019d\nt=0026 ADD_EDGE edge_id=e_e45b33e79d9c source=n_850f65718453 edge_type=supports target=n_a4dc9cbf676c\nt=0027 QUERY source=n_cc01db418713 target=n_b49640fb0ec6\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1354,"provenance":{"base_record_id":"train-d02-036","dataset":"livegraph-deterministic-parity-v3","depth":2,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d02-036","split":"train","variant":"clean"},"record_seed":247353402891919864,"render_sha256":"c9ab97ad381398d07fa424ebf5939cf2265c5de9e59810ff0dd5d27b1f66b1c3","representation":"linear_trace","semantic_sha256":"d33a75c10e9b56493e235260ec75bc296ee7c0f0e7db61925ab2c24eda03c768"}
{"char_count":2612,"item_id":"train-d02-037::linear_trace","label":"FALSE","lexical_token_proxy_count":452,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_ce896148121b node_type=claim\nt=0001 CREATE_NODE id=n_a26050e097b4 node_type=claim\nt=0002 CREATE_NODE id=n_e86490562064 node_type=claim\nt=0003 CREATE_NODE id=n_9657336b90fd node_type=claim\nt=0004 CREATE_NODE id=n_17fe036cf42e node_type=claim\nt=0005 CREATE_NODE id=n_4780cbf44038 node_type=claim\nt=0006 CREATE_NODE id=n_594d36e399f4 node_type=claim\nt=0007 CREATE_NODE id=n_823c737a9b90 node_type=claim\nt=0008 CREATE_NODE id=n_38dfac872138 node_type=claim\nt=0009 CREATE_NODE id=n_42e89f13c5d3 node_type=claim\nt=0010 CREATE_NODE id=n_6aa77171ba60 node_type=claim\nt=0011 CREATE_NODE id=n_3ddc43dea48c node_type=claim\nt=0012 CREATE_NODE id=n_7e13a7fb1774 node_type=claim\nt=0013 CREATE_NODE id=n_c0d2d2eb60d7 node_type=claim\nt=0014 ASSERT_ROOT node=n_42e89f13c5d3 value=TRUE\nt=0015 ADD_EDGE edge_id=e_f3217904141d source=n_3ddc43dea48c edge_type=refutes target=n_38dfac872138\nt=0016 ADD_EDGE edge_id=e_01dbb4e197be source=n_42e89f13c5d3 edge_type=refutes target=n_594d36e399f4\nt=0017 ADD_EDGE edge_id=e_d16a3844c466 source=n_17fe036cf42e edge_type=supports target=n_c0d2d2eb60d7\nt=0018 ADD_EDGE edge_id=e_21fcb6c466dc source=n_42e89f13c5d3 edge_type=refutes target=n_ce896148121b\nt=0019 ADD_EDGE edge_id=e_606eefd7d31a source=n_17fe036cf42e edge_type=refutes target=n_9657336b90fd\nt=0020 ADD_EDGE edge_id=e_8ee2dd15dc1d source=n_823c737a9b90 edge_type=supports target=n_6aa77171ba60\nt=0021 ADD_EDGE edge_id=e_f63212465ede source=n_6aa77171ba60 edge_type=supports target=n_4780cbf44038\nt=0022 ADD_EDGE edge_id=e_784f98bfdbdb source=n_7e13a7fb1774 edge_type=supports target=n_a26050e097b4\nt=0023 ADD_EDGE edge_id=e_abfabca7e7fb source=n_7e13a7fb1774 edge_type=supports target=n_3ddc43dea48c\nt=0024 ADD_EDGE edge_id=e_f73d05431314 source=n_17fe036cf42e edge_type=supports target=n_e86490562064\nt=0025 ADD_EDGE edge_id=e_70fb1acbca2b source=n_42e89f13c5d3 edge_type=refutes target=n_17fe036cf42e\nt=0026 ADD_EDGE edge_id=e_5839962d3a6e source=n_823c737a9b90 edge_type=refutes target=n_7e13a7fb1774\nt=0027 QUERY source=n_42e89f13c5d3 target=n_e86490562064\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1358,"provenance":{"base_record_id":"train-d02-037","dataset":"livegraph-deterministic-parity-v3","depth":2,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d02-037","split":"train","variant":"clean"},"record_seed":683916442756325325,"render_sha256":"e06975cf85278ffb94bb401e6cee52421d051b33410a90f2c2b1b97dd2665c78","representation":"linear_trace","semantic_sha256":"20c6e577c9a747a378548986e85f77aa6ab04878e3d62722c552e174fa6016b4"}
{"char_count":2613,"item_id":"train-d02-038::linear_trace","label":"TRUE","lexical_token_proxy_count":452,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_27d7eb18f544 node_type=claim\nt=0001 CREATE_NODE id=n_875070bd1a6b node_type=claim\nt=0002 CREATE_NODE id=n_9e2f138d241d node_type=claim\nt=0003 CREATE_NODE id=n_c26cdb3b5a3c node_type=claim\nt=0004 CREATE_NODE id=n_8b84fe599400 node_type=claim\nt=0005 CREATE_NODE id=n_f37746e5f0e0 node_type=claim\nt=0006 CREATE_NODE id=n_edc72cdcca22 node_type=claim\nt=0007 CREATE_NODE id=n_4d797f197019 node_type=claim\nt=0008 CREATE_NODE id=n_50d112e3e9c6 node_type=claim\nt=0009 CREATE_NODE id=n_cb186d26db0b node_type=claim\nt=0010 CREATE_NODE id=n_7d99bac4cb8d node_type=claim\nt=0011 CREATE_NODE id=n_9faf006f0684 node_type=claim\nt=0012 CREATE_NODE id=n_31e342696971 node_type=claim\nt=0013 CREATE_NODE id=n_d952c781f437 node_type=claim\nt=0014 ASSERT_ROOT node=n_31e342696971 value=FALSE\nt=0015 ADD_EDGE edge_id=e_1bfa06b418ff source=n_f37746e5f0e0 edge_type=supports target=n_27d7eb18f544\nt=0016 ADD_EDGE edge_id=e_1c5594b8aebe source=n_7d99bac4cb8d edge_type=refutes target=n_50d112e3e9c6\nt=0017 ADD_EDGE edge_id=e_0a9bcb2eed7a source=n_c26cdb3b5a3c edge_type=refutes target=n_875070bd1a6b\nt=0018 ADD_EDGE edge_id=e_ddfe9ccdeabe source=n_31e342696971 edge_type=supports target=n_c26cdb3b5a3c\nt=0019 ADD_EDGE edge_id=e_3d86a29d1ed0 source=n_7d99bac4cb8d edge_type=supports target=n_cb186d26db0b\nt=0020 ADD_EDGE edge_id=e_31579f01884d source=n_9e2f138d241d edge_type=refutes target=n_f37746e5f0e0\nt=0021 ADD_EDGE edge_id=e_91acc7221db2 source=n_8b84fe599400 edge_type=refutes target=n_9e2f138d241d\nt=0022 ADD_EDGE edge_id=e_983b13a44845 source=n_c26cdb3b5a3c edge_type=refutes target=n_d952c781f437\nt=0023 ADD_EDGE edge_id=e_0865aa48950b source=n_9e2f138d241d edge_type=supports target=n_4d797f197019\nt=0024 ADD_EDGE edge_id=e_a3c558b21238 source=n_8b84fe599400 edge_type=supports target=n_9faf006f0684\nt=0025 ADD_EDGE edge_id=e_2ca09125e8ae source=n_edc72cdcca22 edge_type=supports target=n_8b84fe599400\nt=0026 ADD_EDGE edge_id=e_3cc722702361 source=n_c26cdb3b5a3c edge_type=refutes target=n_7d99bac4cb8d\nt=0027 QUERY source=n_31e342696971 target=n_7d99bac4cb8d\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1354,"provenance":{"base_record_id":"train-d02-038","dataset":"livegraph-deterministic-parity-v3","depth":2,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d02-038","split":"train","variant":"clean"},"record_seed":187818153335062119,"render_sha256":"35a491eff49f10d2304d58c33bc92cc91b9da5db2e003249bff828570b972c8a","representation":"linear_trace","semantic_sha256":"e17ab478680e00345a37f27013a3f92a05d31dd230462a46c4a3d61a8fb306e5"}
{"char_count":2613,"item_id":"train-d02-039::linear_trace","label":"FALSE","lexical_token_proxy_count":452,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_60e0042ec0d7 node_type=claim\nt=0001 CREATE_NODE id=n_323ec6101137 node_type=claim\nt=0002 CREATE_NODE id=n_2db6ccbb0f12 node_type=claim\nt=0003 CREATE_NODE id=n_3edf7dd46e10 node_type=claim\nt=0004 CREATE_NODE id=n_a38cc2719946 node_type=claim\nt=0005 CREATE_NODE id=n_d7fd0c88b67e node_type=claim\nt=0006 CREATE_NODE id=n_70b17e0a2df7 node_type=claim\nt=0007 CREATE_NODE id=n_066e21026e5c node_type=claim\nt=0008 CREATE_NODE id=n_8c4b801f2199 node_type=claim\nt=0009 CREATE_NODE id=n_4a903a52d292 node_type=claim\nt=0010 CREATE_NODE id=n_13046c8b05d0 node_type=claim\nt=0011 CREATE_NODE id=n_f08b6e648f1a node_type=claim\nt=0012 CREATE_NODE id=n_7ddfac8a565f node_type=claim\nt=0013 CREATE_NODE id=n_2311f3397f77 node_type=claim\nt=0014 ASSERT_ROOT node=n_8c4b801f2199 value=FALSE\nt=0015 ADD_EDGE edge_id=e_75591df2ba7e source=n_d7fd0c88b67e edge_type=supports target=n_70b17e0a2df7\nt=0016 ADD_EDGE edge_id=e_b62cd784fed9 source=n_d7fd0c88b67e edge_type=refutes target=n_323ec6101137\nt=0017 ADD_EDGE edge_id=e_c5cd7f9a5713 source=n_7ddfac8a565f edge_type=supports target=n_a38cc2719946\nt=0018 ADD_EDGE edge_id=e_a123df32e27a source=n_d7fd0c88b67e edge_type=refutes target=n_066e21026e5c\nt=0019 ADD_EDGE edge_id=e_5488b8b10789 source=n_a38cc2719946 edge_type=refutes target=n_13046c8b05d0\nt=0020 ADD_EDGE edge_id=e_a7164fff3ec2 source=n_2311f3397f77 edge_type=supports target=n_4a903a52d292\nt=0021 ADD_EDGE edge_id=e_cd6c6037fb9a source=n_8c4b801f2199 edge_type=supports target=n_7ddfac8a565f\nt=0022 ADD_EDGE edge_id=e_627326917f1e source=n_323ec6101137 edge_type=refutes target=n_3edf7dd46e10\nt=0023 ADD_EDGE edge_id=e_622322816d3a source=n_8c4b801f2199 edge_type=supports target=n_f08b6e648f1a\nt=0024 ADD_EDGE edge_id=e_e2cb12334080 source=n_323ec6101137 edge_type=supports target=n_2311f3397f77\nt=0025 ADD_EDGE edge_id=e_b0087298cc05 source=n_7ddfac8a565f edge_type=refutes target=n_60e0042ec0d7\nt=0026 ADD_EDGE edge_id=e_7774f88b5a4b source=n_a38cc2719946 edge_type=refutes target=n_2db6ccbb0f12\nt=0027 QUERY source=n_8c4b801f2199 target=n_a38cc2719946\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1365,"provenance":{"base_record_id":"train-d02-039","dataset":"livegraph-deterministic-parity-v3","depth":2,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d02-039","split":"train","variant":"clean"},"record_seed":1130429337968183231,"render_sha256":"d675d6b65bd9f30c38217db09fa25139638fe50a872c1c361437fe8cfcb1a253","representation":"linear_trace","semantic_sha256":"da4c0ee52297c7f2402071d618c41559c90afa27d61e8066174edb3b402c1389"}
{"char_count":2612,"item_id":"train-d02-040::linear_trace","label":"TRUE","lexical_token_proxy_count":452,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_4ffdaaf66dc6 node_type=claim\nt=0001 CREATE_NODE id=n_374b1c924687 node_type=claim\nt=0002 CREATE_NODE id=n_4f9dab5e7f82 node_type=claim\nt=0003 CREATE_NODE id=n_90b5c1231bcf node_type=claim\nt=0004 CREATE_NODE id=n_893b985c4b64 node_type=claim\nt=0005 CREATE_NODE id=n_08a114de5bb0 node_type=claim\nt=0006 CREATE_NODE id=n_faa738c1b625 node_type=claim\nt=0007 CREATE_NODE id=n_e5a30c93bfd1 node_type=claim\nt=0008 CREATE_NODE id=n_c76d43f6e624 node_type=claim\nt=0009 CREATE_NODE id=n_a91dd56307ea node_type=claim\nt=0010 CREATE_NODE id=n_67d79bab18d0 node_type=claim\nt=0011 CREATE_NODE id=n_b05c18d04398 node_type=claim\nt=0012 CREATE_NODE id=n_139b41bf1d8e node_type=claim\nt=0013 CREATE_NODE id=n_575e14190c29 node_type=claim\nt=0014 ASSERT_ROOT node=n_b05c18d04398 value=TRUE\nt=0015 ADD_EDGE edge_id=e_a3268383d628 source=n_893b985c4b64 edge_type=supports target=n_4f9dab5e7f82\nt=0016 ADD_EDGE edge_id=e_a2ca6e2c138e source=n_b05c18d04398 edge_type=supports target=n_4ffdaaf66dc6\nt=0017 ADD_EDGE edge_id=e_47df9f800e31 source=n_893b985c4b64 edge_type=refutes target=n_139b41bf1d8e\nt=0018 ADD_EDGE edge_id=e_340b4f73d9ec source=n_90b5c1231bcf edge_type=supports target=n_67d79bab18d0\nt=0019 ADD_EDGE edge_id=e_285a9fb6becf source=n_4ffdaaf66dc6 edge_type=supports target=n_893b985c4b64\nt=0020 ADD_EDGE edge_id=e_59e2b4ed51aa source=n_90b5c1231bcf edge_type=refutes target=n_c76d43f6e624\nt=0021 ADD_EDGE edge_id=e_f0655831cbfe source=n_893b985c4b64 edge_type=refutes target=n_575e14190c29\nt=0022 ADD_EDGE edge_id=e_dc9562012a95 source=n_893b985c4b64 edge_type=refutes target=n_374b1c924687\nt=0023 ADD_EDGE edge_id=e_0a79625bfca0 source=n_08a114de5bb0 edge_type=refutes target=n_faa738c1b625\nt=0024 ADD_EDGE edge_id=e_1efd904b40b8 source=n_90b5c1231bcf edge_type=refutes target=n_e5a30c93bfd1\nt=0025 ADD_EDGE edge_id=e_f6dd068cfebb source=n_e5a30c93bfd1 edge_type=supports target=n_a91dd56307ea\nt=0026 ADD_EDGE edge_id=e_ca107920601b source=n_90b5c1231bcf edge_type=supports target=n_08a114de5bb0\nt=0027 QUERY source=n_b05c18d04398 target=n_893b985c4b64\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1357,"provenance":{"base_record_id":"train-d02-040","dataset":"livegraph-deterministic-parity-v3","depth":2,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d02-040","split":"train","variant":"clean"},"record_seed":1024556790073983729,"render_sha256":"30691fec7cc969557eb4eca7cfdfd0fb1f6e1e6a8491aa89d78bded0d7807087","representation":"linear_trace","semantic_sha256":"a11139a209dc0f35d6b27b80538e1588f619bd8da447891838ec47f6c2f5e552"}
{"char_count":2612,"item_id":"train-d02-041::linear_trace","label":"FALSE","lexical_token_proxy_count":452,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_999ac96001b0 node_type=claim\nt=0001 CREATE_NODE id=n_43008805dc79 node_type=claim\nt=0002 CREATE_NODE id=n_3f6861731037 node_type=claim\nt=0003 CREATE_NODE id=n_20f9abe8c08f node_type=claim\nt=0004 CREATE_NODE id=n_cd8b810e0394 node_type=claim\nt=0005 CREATE_NODE id=n_aa6890d5f3dc node_type=claim\nt=0006 CREATE_NODE id=n_47d720ae58dc node_type=claim\nt=0007 CREATE_NODE id=n_76b0dcae3e28 node_type=claim\nt=0008 CREATE_NODE id=n_e3a45d5fd78e node_type=claim\nt=0009 CREATE_NODE id=n_484d84d68094 node_type=claim\nt=0010 CREATE_NODE id=n_24e801956bf6 node_type=claim\nt=0011 CREATE_NODE id=n_4d5961eea858 node_type=claim\nt=0012 CREATE_NODE id=n_df2010aceda6 node_type=claim\nt=0013 CREATE_NODE id=n_852c51fe2592 node_type=claim\nt=0014 ASSERT_ROOT node=n_999ac96001b0 value=TRUE\nt=0015 ADD_EDGE edge_id=e_b02ad90aa32c source=n_484d84d68094 edge_type=refutes target=n_df2010aceda6\nt=0016 ADD_EDGE edge_id=e_4f6c06c94870 source=n_76b0dcae3e28 edge_type=refutes target=n_3f6861731037\nt=0017 ADD_EDGE edge_id=e_e7dc3aab532d source=n_484d84d68094 edge_type=refutes target=n_cd8b810e0394\nt=0018 ADD_EDGE edge_id=e_d5384feaf671 source=n_3f6861731037 edge_type=supports target=n_aa6890d5f3dc\nt=0019 ADD_EDGE edge_id=e_c184d78503e6 source=n_24e801956bf6 edge_type=supports target=n_47d720ae58dc\nt=0020 ADD_EDGE edge_id=e_e3cbe6f4c189 source=n_47d720ae58dc edge_type=refutes target=n_4d5961eea858\nt=0021 ADD_EDGE edge_id=e_bb8689fd27e2 source=n_24e801956bf6 edge_type=refutes target=n_e3a45d5fd78e\nt=0022 ADD_EDGE edge_id=e_bb3a3219ec1b source=n_999ac96001b0 edge_type=supports target=n_43008805dc79\nt=0023 ADD_EDGE edge_id=e_9694fc6a8395 source=n_76b0dcae3e28 edge_type=refutes target=n_24e801956bf6\nt=0024 ADD_EDGE edge_id=e_4c9e8c34c7e4 source=n_999ac96001b0 edge_type=supports target=n_852c51fe2592\nt=0025 ADD_EDGE edge_id=e_e34cdca1551e source=n_cd8b810e0394 edge_type=supports target=n_20f9abe8c08f\nt=0026 ADD_EDGE edge_id=e_fed76eaed815 source=n_999ac96001b0 edge_type=supports target=n_484d84d68094\nt=0027 QUERY source=n_999ac96001b0 target=n_cd8b810e0394\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1353,"provenance":{"base_record_id":"train-d02-041","dataset":"livegraph-deterministic-parity-v3","depth":2,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d02-041","split":"train","variant":"clean"},"record_seed":359191910893324152,"render_sha256":"2bb3bc97ab615b108b7cfb23e3e6f9c5190a52be7d5c3dd71d5f0df91542e050","representation":"linear_trace","semantic_sha256":"4e6437ecf53713406a6172b214f8c6c518745b48843003f256abfa978977c30a"}
{"char_count":2613,"item_id":"train-d02-042::linear_trace","label":"TRUE","lexical_token_proxy_count":452,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_75869ad48c77 node_type=claim\nt=0001 CREATE_NODE id=n_53bb10d994bb node_type=claim\nt=0002 CREATE_NODE id=n_500f2bb05734 node_type=claim\nt=0003 CREATE_NODE id=n_233487deb172 node_type=claim\nt=0004 CREATE_NODE id=n_be30b8a11aec node_type=claim\nt=0005 CREATE_NODE id=n_31c418e7e0f0 node_type=claim\nt=0006 CREATE_NODE id=n_8d604755b6bb node_type=claim\nt=0007 CREATE_NODE id=n_6bac55e12cd6 node_type=claim\nt=0008 CREATE_NODE id=n_07c936020198 node_type=claim\nt=0009 CREATE_NODE id=n_b75de905af5f node_type=claim\nt=0010 CREATE_NODE id=n_cdf338134177 node_type=claim\nt=0011 CREATE_NODE id=n_ea8573420928 node_type=claim\nt=0012 CREATE_NODE id=n_a8df646f268d node_type=claim\nt=0013 CREATE_NODE id=n_e6d70a03c964 node_type=claim\nt=0014 ASSERT_ROOT node=n_a8df646f268d value=FALSE\nt=0015 ADD_EDGE edge_id=e_8b292ec98915 source=n_a8df646f268d edge_type=refutes target=n_500f2bb05734\nt=0016 ADD_EDGE edge_id=e_3302800161b8 source=n_cdf338134177 edge_type=refutes target=n_233487deb172\nt=0017 ADD_EDGE edge_id=e_3e95b783c33f source=n_8d604755b6bb edge_type=supports target=n_07c936020198\nt=0018 ADD_EDGE edge_id=e_1811bacee0b7 source=n_cdf338134177 edge_type=refutes target=n_ea8573420928\nt=0019 ADD_EDGE edge_id=e_3594d4970924 source=n_31c418e7e0f0 edge_type=supports target=n_53bb10d994bb\nt=0020 ADD_EDGE edge_id=e_2b69cf68c05a source=n_53bb10d994bb edge_type=refutes target=n_8d604755b6bb\nt=0021 ADD_EDGE edge_id=e_add25b8db840 source=n_a8df646f268d edge_type=supports target=n_cdf338134177\nt=0022 ADD_EDGE edge_id=e_3389ac53f969 source=n_ea8573420928 edge_type=supports target=n_b75de905af5f\nt=0023 ADD_EDGE edge_id=e_41d320e59acd source=n_31c418e7e0f0 edge_type=refutes target=n_6bac55e12cd6\nt=0024 ADD_EDGE edge_id=e_60e888ba5b0c source=n_53bb10d994bb edge_type=supports target=n_75869ad48c77\nt=0025 ADD_EDGE edge_id=e_9416604468ce source=n_75869ad48c77 edge_type=refutes target=n_e6d70a03c964\nt=0026 ADD_EDGE edge_id=e_a08a74d57bbc source=n_cdf338134177 edge_type=supports target=n_be30b8a11aec\nt=0027 QUERY source=n_a8df646f268d target=n_ea8573420928\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1351,"provenance":{"base_record_id":"train-d02-042","dataset":"livegraph-deterministic-parity-v3","depth":2,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d02-042","split":"train","variant":"clean"},"record_seed":996925900647827760,"render_sha256":"4fe03bbe5e39a30237e09d4a7bd59f190a9fb81b678da7ea341b6f7444885270","representation":"linear_trace","semantic_sha256":"fcd93a9d3f92aa8446858307281bf1e0be4088e6eea74dffb9f3fc4c5dd569fd"}
{"char_count":2613,"item_id":"train-d02-043::linear_trace","label":"FALSE","lexical_token_proxy_count":452,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_24cb62726dc9 node_type=claim\nt=0001 CREATE_NODE id=n_c4eccdfbbcd0 node_type=claim\nt=0002 CREATE_NODE id=n_bd30c8a5c4b4 node_type=claim\nt=0003 CREATE_NODE id=n_8aac33e33c41 node_type=claim\nt=0004 CREATE_NODE id=n_36ef749ca10c node_type=claim\nt=0005 CREATE_NODE id=n_d3ff54151a21 node_type=claim\nt=0006 CREATE_NODE id=n_298352369b78 node_type=claim\nt=0007 CREATE_NODE id=n_d000bc3755dc node_type=claim\nt=0008 CREATE_NODE id=n_5e5d29025a97 node_type=claim\nt=0009 CREATE_NODE id=n_96dcb233c182 node_type=claim\nt=0010 CREATE_NODE id=n_d51d062e9e5a node_type=claim\nt=0011 CREATE_NODE id=n_9c8df5161e4b node_type=claim\nt=0012 CREATE_NODE id=n_069ca1ab2fb9 node_type=claim\nt=0013 CREATE_NODE id=n_a30d04dd7c55 node_type=claim\nt=0014 ASSERT_ROOT node=n_bd30c8a5c4b4 value=FALSE\nt=0015 ADD_EDGE edge_id=e_687c10535bb1 source=n_5e5d29025a97 edge_type=refutes target=n_d3ff54151a21\nt=0016 ADD_EDGE edge_id=e_21dd90f3eb65 source=n_d000bc3755dc edge_type=supports target=n_5e5d29025a97\nt=0017 ADD_EDGE edge_id=e_8f033822825c source=n_a30d04dd7c55 edge_type=refutes target=n_36ef749ca10c\nt=0018 ADD_EDGE edge_id=e_4b6ec4aadee9 source=n_c4eccdfbbcd0 edge_type=supports target=n_d51d062e9e5a\nt=0019 ADD_EDGE edge_id=e_fc950c6fb425 source=n_c4eccdfbbcd0 edge_type=refutes target=n_8aac33e33c41\nt=0020 ADD_EDGE edge_id=e_b06b08ade93d source=n_d000bc3755dc edge_type=refutes target=n_96dcb233c182\nt=0021 ADD_EDGE edge_id=e_e6413a39a7ad source=n_d000bc3755dc edge_type=supports target=n_24cb62726dc9\nt=0022 ADD_EDGE edge_id=e_42dbca1dee8d source=n_bd30c8a5c4b4 edge_type=supports target=n_9c8df5161e4b\nt=0023 ADD_EDGE edge_id=e_1f5ff69ef119 source=n_9c8df5161e4b edge_type=refutes target=n_298352369b78\nt=0024 ADD_EDGE edge_id=e_53319861356d source=n_9c8df5161e4b edge_type=refutes target=n_069ca1ab2fb9\nt=0025 ADD_EDGE edge_id=e_514ad8d34a66 source=n_d000bc3755dc edge_type=supports target=n_a30d04dd7c55\nt=0026 ADD_EDGE edge_id=e_edf37c2b39d2 source=n_9c8df5161e4b edge_type=supports target=n_c4eccdfbbcd0\nt=0027 QUERY source=n_bd30c8a5c4b4 target=n_c4eccdfbbcd0\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1330,"provenance":{"base_record_id":"train-d02-043","dataset":"livegraph-deterministic-parity-v3","depth":2,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d02-043","split":"train","variant":"clean"},"record_seed":1111777144823976018,"render_sha256":"2cfb334e37503397ffeffcc835bf88de2bb5e289e2ee0412e052295d14864688","representation":"linear_trace","semantic_sha256":"e68d5fecb1edae94d72770118b73ffa13703bf8fe3b9bcf946bbec63882fbf67"}
{"char_count":2612,"item_id":"train-d02-044::linear_trace","label":"TRUE","lexical_token_proxy_count":452,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_dde356a6be99 node_type=claim\nt=0001 CREATE_NODE id=n_f781ee8dff44 node_type=claim\nt=0002 CREATE_NODE id=n_3f1e990df7dc node_type=claim\nt=0003 CREATE_NODE id=n_7f6a447df045 node_type=claim\nt=0004 CREATE_NODE id=n_689462c4376b node_type=claim\nt=0005 CREATE_NODE id=n_e39cfd854024 node_type=claim\nt=0006 CREATE_NODE id=n_c0a2a1144a02 node_type=claim\nt=0007 CREATE_NODE id=n_517424de2301 node_type=claim\nt=0008 CREATE_NODE id=n_6dd9cce925c3 node_type=claim\nt=0009 CREATE_NODE id=n_6dccfb487327 node_type=claim\nt=0010 CREATE_NODE id=n_9a80b5853bbf node_type=claim\nt=0011 CREATE_NODE id=n_85511f2620d4 node_type=claim\nt=0012 CREATE_NODE id=n_b4fd81804bcc node_type=claim\nt=0013 CREATE_NODE id=n_8ded08253ec6 node_type=claim\nt=0014 ASSERT_ROOT node=n_6dd9cce925c3 value=TRUE\nt=0015 ADD_EDGE edge_id=e_439f2ecf16a4 source=n_e39cfd854024 edge_type=supports target=n_c0a2a1144a02\nt=0016 ADD_EDGE edge_id=e_3821c1c7c66e source=n_85511f2620d4 edge_type=refutes target=n_f781ee8dff44\nt=0017 ADD_EDGE edge_id=e_b000a6abdf8e source=n_517424de2301 edge_type=supports target=n_9a80b5853bbf\nt=0018 ADD_EDGE edge_id=e_a4585e803935 source=n_6dd9cce925c3 edge_type=supports target=n_517424de2301\nt=0019 ADD_EDGE edge_id=e_650f25b36ca4 source=n_517424de2301 edge_type=supports target=n_7f6a447df045\nt=0020 ADD_EDGE edge_id=e_fdd5326e590c source=n_6dccfb487327 edge_type=refutes target=n_85511f2620d4\nt=0021 ADD_EDGE edge_id=e_96b792394617 source=n_7f6a447df045 edge_type=refutes target=n_b4fd81804bcc\nt=0022 ADD_EDGE edge_id=e_cbe2248b2c43 source=n_85511f2620d4 edge_type=refutes target=n_e39cfd854024\nt=0023 ADD_EDGE edge_id=e_8c70c9821444 source=n_6dd9cce925c3 edge_type=refutes target=n_3f1e990df7dc\nt=0024 ADD_EDGE edge_id=e_62adf4de57b3 source=n_c0a2a1144a02 edge_type=refutes target=n_dde356a6be99\nt=0025 ADD_EDGE edge_id=e_b3a1b59efe8c source=n_6dd9cce925c3 edge_type=supports target=n_689462c4376b\nt=0026 ADD_EDGE edge_id=e_bb3a74811e8a source=n_6dccfb487327 edge_type=supports target=n_8ded08253ec6\nt=0027 QUERY source=n_6dd9cce925c3 target=n_7f6a447df045\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1351,"provenance":{"base_record_id":"train-d02-044","dataset":"livegraph-deterministic-parity-v3","depth":2,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d02-044","split":"train","variant":"clean"},"record_seed":887262692854111173,"render_sha256":"4d497a56726b865fbfa97483596eb924b1efceec1c0e1afc34be2d2daf77d329","representation":"linear_trace","semantic_sha256":"f44e4a24393bf8a8b2e9eca119099bcc38a8106c5bd4d2b25ca3aab4319ef968"}
{"char_count":2612,"item_id":"train-d02-045::linear_trace","label":"FALSE","lexical_token_proxy_count":452,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_0ab00ab17df4 node_type=claim\nt=0001 CREATE_NODE id=n_03eaf022d301 node_type=claim\nt=0002 CREATE_NODE id=n_a81ece8f6713 node_type=claim\nt=0003 CREATE_NODE id=n_690e9c03ca3b node_type=claim\nt=0004 CREATE_NODE id=n_b63b9790d665 node_type=claim\nt=0005 CREATE_NODE id=n_5363df189a40 node_type=claim\nt=0006 CREATE_NODE id=n_042b1db8bc32 node_type=claim\nt=0007 CREATE_NODE id=n_3732b9a71ea3 node_type=claim\nt=0008 CREATE_NODE id=n_11335a8781de node_type=claim\nt=0009 CREATE_NODE id=n_79b81c118c13 node_type=claim\nt=0010 CREATE_NODE id=n_5963dbddaec1 node_type=claim\nt=0011 CREATE_NODE id=n_0a05dc7bd092 node_type=claim\nt=0012 CREATE_NODE id=n_499e2253d575 node_type=claim\nt=0013 CREATE_NODE id=n_57f6ee43b549 node_type=claim\nt=0014 ASSERT_ROOT node=n_5963dbddaec1 value=TRUE\nt=0015 ADD_EDGE edge_id=e_e5fdaa025b74 source=n_5963dbddaec1 edge_type=supports target=n_a81ece8f6713\nt=0016 ADD_EDGE edge_id=e_dbac6308b3b5 source=n_3732b9a71ea3 edge_type=supports target=n_499e2253d575\nt=0017 ADD_EDGE edge_id=e_1a7a7b924b47 source=n_5963dbddaec1 edge_type=supports target=n_b63b9790d665\nt=0018 ADD_EDGE edge_id=e_3ee8031e54c1 source=n_5963dbddaec1 edge_type=supports target=n_79b81c118c13\nt=0019 ADD_EDGE edge_id=e_009f7b90bf97 source=n_3732b9a71ea3 edge_type=refutes target=n_690e9c03ca3b\nt=0020 ADD_EDGE edge_id=e_8fb1f8d59f25 source=n_499e2253d575 edge_type=refutes target=n_57f6ee43b549\nt=0021 ADD_EDGE edge_id=e_ce4a2a7e7d82 source=n_5363df189a40 edge_type=refutes target=n_042b1db8bc32\nt=0022 ADD_EDGE edge_id=e_f12c444dd222 source=n_a81ece8f6713 edge_type=refutes target=n_0ab00ab17df4\nt=0023 ADD_EDGE edge_id=e_65c9446f612b source=n_5363df189a40 edge_type=refutes target=n_11335a8781de\nt=0024 ADD_EDGE edge_id=e_367e85ab21be source=n_a81ece8f6713 edge_type=supports target=n_03eaf022d301\nt=0025 ADD_EDGE edge_id=e_8d759975b005 source=n_57f6ee43b549 edge_type=refutes target=n_5363df189a40\nt=0026 ADD_EDGE edge_id=e_342dc79cb38f source=n_5963dbddaec1 edge_type=supports target=n_0a05dc7bd092\nt=0027 QUERY source=n_5963dbddaec1 target=n_0ab00ab17df4\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1338,"provenance":{"base_record_id":"train-d02-045","dataset":"livegraph-deterministic-parity-v3","depth":2,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d02-045","split":"train","variant":"clean"},"record_seed":561681816018085950,"render_sha256":"7cea9d8ccb3e640591588fb3ce3bf9306ae0416b3fd70a1127e2cac212fd99b4","representation":"linear_trace","semantic_sha256":"da342f491c7d0c5f6ad4ca9eec53c11ccb209e0de47721f3d611adc40f444fbf"}
{"char_count":2613,"item_id":"train-d02-046::linear_trace","label":"TRUE","lexical_token_proxy_count":452,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_1803771b5f40 node_type=claim\nt=0001 CREATE_NODE id=n_b678943babcc node_type=claim\nt=0002 CREATE_NODE id=n_60fdb3259946 node_type=claim\nt=0003 CREATE_NODE id=n_50d673852e4d node_type=claim\nt=0004 CREATE_NODE id=n_724265c9974d node_type=claim\nt=0005 CREATE_NODE id=n_6c1c4c72e2d3 node_type=claim\nt=0006 CREATE_NODE id=n_98affa65d21f node_type=claim\nt=0007 CREATE_NODE id=n_2fc407180429 node_type=claim\nt=0008 CREATE_NODE id=n_5c487b7945ab node_type=claim\nt=0009 CREATE_NODE id=n_7fd87c0ca347 node_type=claim\nt=0010 CREATE_NODE id=n_fb3b2b746a0e node_type=claim\nt=0011 CREATE_NODE id=n_db474757066e node_type=claim\nt=0012 CREATE_NODE id=n_34c447b111e2 node_type=claim\nt=0013 CREATE_NODE id=n_9b380e2bc4a8 node_type=claim\nt=0014 ASSERT_ROOT node=n_db474757066e value=FALSE\nt=0015 ADD_EDGE edge_id=e_375c02730260 source=n_db474757066e edge_type=refutes target=n_98affa65d21f\nt=0016 ADD_EDGE edge_id=e_5775be1a72fc source=n_6c1c4c72e2d3 edge_type=supports target=n_fb3b2b746a0e\nt=0017 ADD_EDGE edge_id=e_05d8befefe6c source=n_98affa65d21f edge_type=refutes target=n_b678943babcc\nt=0018 ADD_EDGE edge_id=e_efc697a78674 source=n_98affa65d21f edge_type=supports target=n_724265c9974d\nt=0019 ADD_EDGE edge_id=e_ff2510a94935 source=n_6c1c4c72e2d3 edge_type=supports target=n_1803771b5f40\nt=0020 ADD_EDGE edge_id=e_1aa9d4533ac4 source=n_fb3b2b746a0e edge_type=refutes target=n_50d673852e4d\nt=0021 ADD_EDGE edge_id=e_2177a83244a4 source=n_98affa65d21f edge_type=supports target=n_7fd87c0ca347\nt=0022 ADD_EDGE edge_id=e_58ee3e4aa94a source=n_db474757066e edge_type=supports target=n_9b380e2bc4a8\nt=0023 ADD_EDGE edge_id=e_d87fe837511e source=n_724265c9974d edge_type=supports target=n_5c487b7945ab\nt=0024 ADD_EDGE edge_id=e_63ee506cb933 source=n_fb3b2b746a0e edge_type=refutes target=n_2fc407180429\nt=0025 ADD_EDGE edge_id=e_525cbffb7898 source=n_50d673852e4d edge_type=refutes target=n_34c447b111e2\nt=0026 ADD_EDGE edge_id=e_8f928ad7c5eb source=n_6c1c4c72e2d3 edge_type=refutes target=n_60fdb3259946\nt=0027 QUERY source=n_db474757066e target=n_724265c9974d\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1359,"provenance":{"base_record_id":"train-d02-046","dataset":"livegraph-deterministic-parity-v3","depth":2,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d02-046","split":"train","variant":"clean"},"record_seed":451533137001821167,"render_sha256":"5ae953d703dff836902aa6b5fbb9492b366396aa0f90ad4efe159ccc76addcf6","representation":"linear_trace","semantic_sha256":"91645cee3dd1ee7eac3ab5a88fe5a7e4ebd8d316d8d5a67ddd46d182953d3893"}
{"char_count":2613,"item_id":"train-d02-047::linear_trace","label":"FALSE","lexical_token_proxy_count":452,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_5f7d25d14aba node_type=claim\nt=0001 CREATE_NODE id=n_ac246a139337 node_type=claim\nt=0002 CREATE_NODE id=n_19b3c03c7a24 node_type=claim\nt=0003 CREATE_NODE id=n_8a869944c332 node_type=claim\nt=0004 CREATE_NODE id=n_b1726daec788 node_type=claim\nt=0005 CREATE_NODE id=n_5a4097717ae4 node_type=claim\nt=0006 CREATE_NODE id=n_2c0921afe1eb node_type=claim\nt=0007 CREATE_NODE id=n_c14eaa852069 node_type=claim\nt=0008 CREATE_NODE id=n_7fa1476bec30 node_type=claim\nt=0009 CREATE_NODE id=n_3597bf516e4f node_type=claim\nt=0010 CREATE_NODE id=n_9e68fc3bac9e node_type=claim\nt=0011 CREATE_NODE id=n_1f68795be825 node_type=claim\nt=0012 CREATE_NODE id=n_3c674deb1794 node_type=claim\nt=0013 CREATE_NODE id=n_9e5e102cc752 node_type=claim\nt=0014 ASSERT_ROOT node=n_8a869944c332 value=FALSE\nt=0015 ADD_EDGE edge_id=e_8a11a403690e source=n_3597bf516e4f edge_type=supports target=n_3c674deb1794\nt=0016 ADD_EDGE edge_id=e_364a6fe5655e source=n_8a869944c332 edge_type=supports target=n_c14eaa852069\nt=0017 ADD_EDGE edge_id=e_fcf8dc378d62 source=n_9e5e102cc752 edge_type=supports target=n_3597bf516e4f\nt=0018 ADD_EDGE edge_id=e_da14020ffea4 source=n_3597bf516e4f edge_type=refutes target=n_5a4097717ae4\nt=0019 ADD_EDGE edge_id=e_e9d0a1d139d6 source=n_8a869944c332 edge_type=supports target=n_1f68795be825\nt=0020 ADD_EDGE edge_id=e_1f91b30d54c2 source=n_1f68795be825 edge_type=supports target=n_ac246a139337\nt=0021 ADD_EDGE edge_id=e_caa812c77253 source=n_9e5e102cc752 edge_type=refutes target=n_9e68fc3bac9e\nt=0022 ADD_EDGE edge_id=e_fb2cf74768ee source=n_ac246a139337 edge_type=refutes target=n_7fa1476bec30\nt=0023 ADD_EDGE edge_id=e_12c67032f0a9 source=n_5f7d25d14aba edge_type=supports target=n_2c0921afe1eb\nt=0024 ADD_EDGE edge_id=e_fe9a15d659d6 source=n_1f68795be825 edge_type=refutes target=n_b1726daec788\nt=0025 ADD_EDGE edge_id=e_cd6fca382084 source=n_9e5e102cc752 edge_type=refutes target=n_5f7d25d14aba\nt=0026 ADD_EDGE edge_id=e_0a14f4bba747 source=n_8a869944c332 edge_type=refutes target=n_19b3c03c7a24\nt=0027 QUERY source=n_8a869944c332 target=n_ac246a139337\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1351,"provenance":{"base_record_id":"train-d02-047","dataset":"livegraph-deterministic-parity-v3","depth":2,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d02-047","split":"train","variant":"clean"},"record_seed":768832411972702603,"render_sha256":"98219fa3fea39077a64e4dbe3b39d8c9eb5296be72a9370687d799162aa13771","representation":"linear_trace","semantic_sha256":"ef9e971b9c5757fbcebaa9340eed2de6f1ade2fcf64d8e5fb3ec9fb0cc5ddb2a"}
{"char_count":2921,"item_id":"train-d03-000::linear_trace","label":"TRUE","lexical_token_proxy_count":504,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_0f4fbf46748d node_type=claim\nt=0001 CREATE_NODE id=n_3c400a192db1 node_type=claim\nt=0002 CREATE_NODE id=n_3db3514c96fa node_type=claim\nt=0003 CREATE_NODE id=n_7dc8011ea4b4 node_type=claim\nt=0004 CREATE_NODE id=n_a98c97d64ad3 node_type=claim\nt=0005 CREATE_NODE id=n_ebb26edd83fe node_type=claim\nt=0006 CREATE_NODE id=n_7069a78c9a19 node_type=claim\nt=0007 CREATE_NODE id=n_24bbc433a1a4 node_type=claim\nt=0008 CREATE_NODE id=n_b628a0289db7 node_type=claim\nt=0009 CREATE_NODE id=n_2622f139c08e node_type=claim\nt=0010 CREATE_NODE id=n_b8b6933d183e node_type=claim\nt=0011 CREATE_NODE id=n_c0404bdfd477 node_type=claim\nt=0012 CREATE_NODE id=n_cbcb6bffeca9 node_type=claim\nt=0013 CREATE_NODE id=n_cc4a4a46a6db node_type=claim\nt=0014 CREATE_NODE id=n_53a30e266127 node_type=claim\nt=0015 CREATE_NODE id=n_b28711002e7f node_type=claim\nt=0016 ASSERT_ROOT node=n_cbcb6bffeca9 value=TRUE\nt=0017 ADD_EDGE edge_id=e_77bea07a62d0 source=n_b628a0289db7 edge_type=refutes target=n_c0404bdfd477\nt=0018 ADD_EDGE edge_id=e_aba9499fa29c source=n_7069a78c9a19 edge_type=refutes target=n_3c400a192db1\nt=0019 ADD_EDGE edge_id=e_2f74b0709542 source=n_ebb26edd83fe edge_type=supports target=n_b28711002e7f\nt=0020 ADD_EDGE edge_id=e_5faf15600c3b source=n_24bbc433a1a4 edge_type=refutes target=n_3db3514c96fa\nt=0021 ADD_EDGE edge_id=e_a4f22b203736 source=n_24bbc433a1a4 edge_type=supports target=n_b8b6933d183e\nt=0022 ADD_EDGE edge_id=e_d70ac0bd85c3 source=n_cc4a4a46a6db edge_type=supports target=n_53a30e266127\nt=0023 ADD_EDGE edge_id=e_e9b1546f93e6 source=n_0f4fbf46748d edge_type=refutes target=n_24bbc433a1a4\nt=0024 ADD_EDGE edge_id=e_8df7bc0ca364 source=n_cc4a4a46a6db edge_type=supports target=n_b628a0289db7\nt=0025 ADD_EDGE edge_id=e_29f6e578054e source=n_b8b6933d183e edge_type=refutes target=n_a98c97d64ad3\nt=0026 ADD_EDGE edge_id=e_ddee9b0081a6 source=n_0f4fbf46748d edge_type=supports target=n_7069a78c9a19\nt=0027 ADD_EDGE edge_id=e_9a1e30078f63 source=n_b628a0289db7 edge_type=refutes target=n_7dc8011ea4b4\nt=0028 ADD_EDGE edge_id=e_79c7231abd68 source=n_cbcb6bffeca9 edge_type=supports target=n_cc4a4a46a6db\nt=0029 ADD_EDGE edge_id=e_e51e2a815156 source=n_b628a0289db7 edge_type=supports target=n_ebb26edd83fe\nt=0030 ADD_EDGE edge_id=e_1ee05c3b1a59 source=n_b8b6933d183e edge_type=refutes target=n_2622f139c08e\nt=0031 QUERY source=n_cbcb6bffeca9 target=n_ebb26edd83fe\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1514,"provenance":{"base_record_id":"train-d03-000","dataset":"livegraph-deterministic-parity-v3","depth":3,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d03-000","split":"train","variant":"clean"},"record_seed":20119738295674808,"render_sha256":"228c5b90df913100848971575944690cc0eb58ee328be1351a2a34a04768e9ad","representation":"linear_trace","semantic_sha256":"9e38a96b331b1879d182bbcd7247f53cddc40555de82d0c1f88c62ef63086303"}
{"char_count":2921,"item_id":"train-d03-001::linear_trace","label":"FALSE","lexical_token_proxy_count":504,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_65978419435a node_type=claim\nt=0001 CREATE_NODE id=n_cf9858c5ae06 node_type=claim\nt=0002 CREATE_NODE id=n_c317791bf32a node_type=claim\nt=0003 CREATE_NODE id=n_1ec101f6e95c node_type=claim\nt=0004 CREATE_NODE id=n_5032cba59c41 node_type=claim\nt=0005 CREATE_NODE id=n_26ce4c826df5 node_type=claim\nt=0006 CREATE_NODE id=n_e2e5a62d66a2 node_type=claim\nt=0007 CREATE_NODE id=n_4383b761cb9a node_type=claim\nt=0008 CREATE_NODE id=n_c7d2fbd73597 node_type=claim\nt=0009 CREATE_NODE id=n_87d5bcb553bf node_type=claim\nt=0010 CREATE_NODE id=n_bd628525bc78 node_type=claim\nt=0011 CREATE_NODE id=n_a0ed863699ad node_type=claim\nt=0012 CREATE_NODE id=n_639578fb8061 node_type=claim\nt=0013 CREATE_NODE id=n_95c82b0cd98d node_type=claim\nt=0014 CREATE_NODE id=n_3961ab08b18e node_type=claim\nt=0015 CREATE_NODE id=n_71bba4154c03 node_type=claim\nt=0016 ASSERT_ROOT node=n_4383b761cb9a value=TRUE\nt=0017 ADD_EDGE edge_id=e_615ac9f7f521 source=n_cf9858c5ae06 edge_type=refutes target=n_e2e5a62d66a2\nt=0018 ADD_EDGE edge_id=e_a994cc8e944c source=n_a0ed863699ad edge_type=refutes target=n_71bba4154c03\nt=0019 ADD_EDGE edge_id=e_8d3e473dfa75 source=n_639578fb8061 edge_type=refutes target=n_65978419435a\nt=0020 ADD_EDGE edge_id=e_81e9a8466de5 source=n_26ce4c826df5 edge_type=supports target=n_a0ed863699ad\nt=0021 ADD_EDGE edge_id=e_186818ca46d9 source=n_bd628525bc78 edge_type=supports target=n_c7d2fbd73597\nt=0022 ADD_EDGE edge_id=e_260618e9414f source=n_95c82b0cd98d edge_type=refutes target=n_1ec101f6e95c\nt=0023 ADD_EDGE edge_id=e_5cd7ade7af3c source=n_639578fb8061 edge_type=refutes target=n_5032cba59c41\nt=0024 ADD_EDGE edge_id=e_57cc51469ef3 source=n_95c82b0cd98d edge_type=refutes target=n_c317791bf32a\nt=0025 ADD_EDGE edge_id=e_9495f4500cad source=n_4383b761cb9a edge_type=supports target=n_95c82b0cd98d\nt=0026 ADD_EDGE edge_id=e_b0b4a9b81600 source=n_1ec101f6e95c edge_type=supports target=n_bd628525bc78\nt=0027 ADD_EDGE edge_id=e_63af768bf386 source=n_95c82b0cd98d edge_type=refutes target=n_87d5bcb553bf\nt=0028 ADD_EDGE edge_id=e_1ffe8d0a6415 source=n_cf9858c5ae06 edge_type=supports target=n_26ce4c826df5\nt=0029 ADD_EDGE edge_id=e_c237ee0200f0 source=n_1ec101f6e95c edge_type=supports target=n_3961ab08b18e\nt=0030 ADD_EDGE edge_id=e_1a0cbad99279 source=n_639578fb8061 edge_type=supports target=n_cf9858c5ae06\nt=0031 QUERY source=n_4383b761cb9a target=n_bd628525bc78\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1532,"provenance":{"base_record_id":"train-d03-001","dataset":"livegraph-deterministic-parity-v3","depth":3,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d03-001","split":"train","variant":"clean"},"record_seed":891420186883726395,"render_sha256":"d96e468c1cd20012f0f3ea18686ff6cd12c4416609c908476d32cd42a485845d","representation":"linear_trace","semantic_sha256":"9d66e387bad2b47aad219d453e020b76b02b8977bbe3432304a628ae6b2edc17"}
{"char_count":2922,"item_id":"train-d03-002::linear_trace","label":"TRUE","lexical_token_proxy_count":504,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_4f94ad14347e node_type=claim\nt=0001 CREATE_NODE id=n_db09f1c74934 node_type=claim\nt=0002 CREATE_NODE id=n_e2f0effe8943 node_type=claim\nt=0003 CREATE_NODE id=n_d766ad6f50fc node_type=claim\nt=0004 CREATE_NODE id=n_9754ac92b7f8 node_type=claim\nt=0005 CREATE_NODE id=n_465f5fa00892 node_type=claim\nt=0006 CREATE_NODE id=n_0834e5db5f41 node_type=claim\nt=0007 CREATE_NODE id=n_39773518ceca node_type=claim\nt=0008 CREATE_NODE id=n_c8d6547afb53 node_type=claim\nt=0009 CREATE_NODE id=n_480ee282ab6a node_type=claim\nt=0010 CREATE_NODE id=n_23febdd6037c node_type=claim\nt=0011 CREATE_NODE id=n_ab1143028b1a node_type=claim\nt=0012 CREATE_NODE id=n_232072796fa7 node_type=claim\nt=0013 CREATE_NODE id=n_333473b14365 node_type=claim\nt=0014 CREATE_NODE id=n_0898b7423e06 node_type=claim\nt=0015 CREATE_NODE id=n_f11b357db8fe node_type=claim\nt=0016 ASSERT_ROOT node=n_23febdd6037c value=FALSE\nt=0017 ADD_EDGE edge_id=e_8abeee118ede source=n_9754ac92b7f8 edge_type=supports target=n_ab1143028b1a\nt=0018 ADD_EDGE edge_id=e_4e48d2843ecd source=n_c8d6547afb53 edge_type=refutes target=n_9754ac92b7f8\nt=0019 ADD_EDGE edge_id=e_c14eef700082 source=n_23febdd6037c edge_type=refutes target=n_e2f0effe8943\nt=0020 ADD_EDGE edge_id=e_8546c65121b1 source=n_465f5fa00892 edge_type=refutes target=n_c8d6547afb53\nt=0021 ADD_EDGE edge_id=e_85ded651fa3b source=n_0898b7423e06 edge_type=supports target=n_39773518ceca\nt=0022 ADD_EDGE edge_id=e_e2472f5d2291 source=n_480ee282ab6a edge_type=supports target=n_d766ad6f50fc\nt=0023 ADD_EDGE edge_id=e_3c1a5c9d1efc source=n_232072796fa7 edge_type=refutes target=n_480ee282ab6a\nt=0024 ADD_EDGE edge_id=e_19a999d6063d source=n_4f94ad14347e edge_type=refutes target=n_0898b7423e06\nt=0025 ADD_EDGE edge_id=e_12c2155daa34 source=n_c8d6547afb53 edge_type=supports target=n_232072796fa7\nt=0026 ADD_EDGE edge_id=e_ae9baf126045 source=n_4f94ad14347e edge_type=supports target=n_333473b14365\nt=0027 ADD_EDGE edge_id=e_b943819fc85a source=n_232072796fa7 edge_type=supports target=n_f11b357db8fe\nt=0028 ADD_EDGE edge_id=e_602fd80fa85a source=n_23febdd6037c edge_type=refutes target=n_db09f1c74934\nt=0029 ADD_EDGE edge_id=e_3308a7586035 source=n_23febdd6037c edge_type=supports target=n_4f94ad14347e\nt=0030 ADD_EDGE edge_id=e_c30a72a73761 source=n_4f94ad14347e edge_type=refutes target=n_0834e5db5f41\nt=0031 QUERY source=n_23febdd6037c target=n_39773518ceca\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1528,"provenance":{"base_record_id":"train-d03-002","dataset":"livegraph-deterministic-parity-v3","depth":3,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d03-002","split":"train","variant":"clean"},"record_seed":891675058957976209,"render_sha256":"eee03476d68f56eae62ed10020a0ee4913d70c9faeae4aef4e1c555866aabbf1","representation":"linear_trace","semantic_sha256":"6c376217b9c8bc1d1e03b58d14399919ace9ad4ffe0bbf95fe5bbdda27a86e7e"}
{"char_count":2922,"item_id":"train-d03-003::linear_trace","label":"FALSE","lexical_token_proxy_count":504,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_8bbc7813916d node_type=claim\nt=0001 CREATE_NODE id=n_27bd5f41b7da node_type=claim\nt=0002 CREATE_NODE id=n_1024d98251dd node_type=claim\nt=0003 CREATE_NODE id=n_5d9fe8795409 node_type=claim\nt=0004 CREATE_NODE id=n_f9d7b0d43d3a node_type=claim\nt=0005 CREATE_NODE id=n_b8a5de9649f9 node_type=claim\nt=0006 CREATE_NODE id=n_a329ce040447 node_type=claim\nt=0007 CREATE_NODE id=n_a5c75aeccad1 node_type=claim\nt=0008 CREATE_NODE id=n_9e4509dffca5 node_type=claim\nt=0009 CREATE_NODE id=n_6a4a03337303 node_type=claim\nt=0010 CREATE_NODE id=n_60edc04e7744 node_type=claim\nt=0011 CREATE_NODE id=n_ca573b096b4c node_type=claim\nt=0012 CREATE_NODE id=n_b811e9bab0dd node_type=claim\nt=0013 CREATE_NODE id=n_9926f05e8db1 node_type=claim\nt=0014 CREATE_NODE id=n_0d04cb45b2ec node_type=claim\nt=0015 CREATE_NODE id=n_ffd4bb22cfe0 node_type=claim\nt=0016 ASSERT_ROOT node=n_a329ce040447 value=FALSE\nt=0017 ADD_EDGE edge_id=e_ea02eaacdd51 source=n_1024d98251dd edge_type=supports target=n_6a4a03337303\nt=0018 ADD_EDGE edge_id=e_7b68e4782876 source=n_a329ce040447 edge_type=refutes target=n_9e4509dffca5\nt=0019 ADD_EDGE edge_id=e_70242b4a6760 source=n_0d04cb45b2ec edge_type=refutes target=n_60edc04e7744\nt=0020 ADD_EDGE edge_id=e_3b0e162a4478 source=n_1024d98251dd edge_type=refutes target=n_27bd5f41b7da\nt=0021 ADD_EDGE edge_id=e_eaa8c5ce3582 source=n_a329ce040447 edge_type=refutes target=n_5d9fe8795409\nt=0022 ADD_EDGE edge_id=e_476e2c554faf source=n_27bd5f41b7da edge_type=supports target=n_ffd4bb22cfe0\nt=0023 ADD_EDGE edge_id=e_dbf36245be97 source=n_8bbc7813916d edge_type=supports target=n_f9d7b0d43d3a\nt=0024 ADD_EDGE edge_id=e_c8a5487b63aa source=n_f9d7b0d43d3a edge_type=supports target=n_a5c75aeccad1\nt=0025 ADD_EDGE edge_id=e_c14ebb726e1f source=n_0d04cb45b2ec edge_type=supports target=n_1024d98251dd\nt=0026 ADD_EDGE edge_id=e_5315a427941a source=n_27bd5f41b7da edge_type=refutes target=n_b8a5de9649f9\nt=0027 ADD_EDGE edge_id=e_14ba682e5c2f source=n_a329ce040447 edge_type=refutes target=n_ca573b096b4c\nt=0028 ADD_EDGE edge_id=e_43a5c579ed5b source=n_f9d7b0d43d3a edge_type=supports target=n_b811e9bab0dd\nt=0029 ADD_EDGE edge_id=e_4164d12ff248 source=n_1024d98251dd edge_type=supports target=n_9926f05e8db1\nt=0030 ADD_EDGE edge_id=e_267597709d76 source=n_5d9fe8795409 edge_type=refutes target=n_8bbc7813916d\nt=0031 QUERY source=n_a329ce040447 target=n_f9d7b0d43d3a\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1528,"provenance":{"base_record_id":"train-d03-003","dataset":"livegraph-deterministic-parity-v3","depth":3,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d03-003","split":"train","variant":"clean"},"record_seed":72970022982937275,"render_sha256":"8b32fcb7a34985f20e1e54c0a8e90114e339da1ca3a1c4215dab4f4d6fa57c5e","representation":"linear_trace","semantic_sha256":"2be0bb87c4a3c57c9e79a1eff23e07759719ff14cbd7a7304f833f7fc8fa647d"}
{"char_count":2921,"item_id":"train-d03-004::linear_trace","label":"TRUE","lexical_token_proxy_count":504,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_0c6d8d123c72 node_type=claim\nt=0001 CREATE_NODE id=n_112907a01657 node_type=claim\nt=0002 CREATE_NODE id=n_0ee8d51463be node_type=claim\nt=0003 CREATE_NODE id=n_f96939800e2b node_type=claim\nt=0004 CREATE_NODE id=n_f3d98c7c247c node_type=claim\nt=0005 CREATE_NODE id=n_1d93f4167293 node_type=claim\nt=0006 CREATE_NODE id=n_6976b8bc0d71 node_type=claim\nt=0007 CREATE_NODE id=n_1ce65c35e644 node_type=claim\nt=0008 CREATE_NODE id=n_3096c1ec1acd node_type=claim\nt=0009 CREATE_NODE id=n_48ac13d51a35 node_type=claim\nt=0010 CREATE_NODE id=n_0d9279b647a9 node_type=claim\nt=0011 CREATE_NODE id=n_26b81e06d51f node_type=claim\nt=0012 CREATE_NODE id=n_c939cb0b2310 node_type=claim\nt=0013 CREATE_NODE id=n_b452121fd620 node_type=claim\nt=0014 CREATE_NODE id=n_f26cf84b326b node_type=claim\nt=0015 CREATE_NODE id=n_35d1c30f8dd9 node_type=claim\nt=0016 ASSERT_ROOT node=n_48ac13d51a35 value=TRUE\nt=0017 ADD_EDGE edge_id=e_729cbc3d43b9 source=n_35d1c30f8dd9 edge_type=supports target=n_112907a01657\nt=0018 ADD_EDGE edge_id=e_25dff6dd7dfb source=n_f26cf84b326b edge_type=supports target=n_b452121fd620\nt=0019 ADD_EDGE edge_id=e_87bb7b656267 source=n_b452121fd620 edge_type=refutes target=n_f96939800e2b\nt=0020 ADD_EDGE edge_id=e_158da9863a52 source=n_1d93f4167293 edge_type=supports target=n_0c6d8d123c72\nt=0021 ADD_EDGE edge_id=e_0d889f00a1c8 source=n_6976b8bc0d71 edge_type=refutes target=n_f26cf84b326b\nt=0022 ADD_EDGE edge_id=e_4138937ed2a7 source=n_35d1c30f8dd9 edge_type=refutes target=n_1d93f4167293\nt=0023 ADD_EDGE edge_id=e_58a010bc7e2a source=n_c939cb0b2310 edge_type=refutes target=n_0ee8d51463be\nt=0024 ADD_EDGE edge_id=e_425af41d434a source=n_0c6d8d123c72 edge_type=refutes target=n_1ce65c35e644\nt=0025 ADD_EDGE edge_id=e_778b22b721b4 source=n_48ac13d51a35 edge_type=supports target=n_0d9279b647a9\nt=0026 ADD_EDGE edge_id=e_0ada37829935 source=n_112907a01657 edge_type=refutes target=n_3096c1ec1acd\nt=0027 ADD_EDGE edge_id=e_10179e077f0e source=n_b452121fd620 edge_type=supports target=n_f3d98c7c247c\nt=0028 ADD_EDGE edge_id=e_8c50401461ad source=n_48ac13d51a35 edge_type=refutes target=n_6976b8bc0d71\nt=0029 ADD_EDGE edge_id=e_66b84162884d source=n_b452121fd620 edge_type=supports target=n_26b81e06d51f\nt=0030 ADD_EDGE edge_id=e_33b1a3948fdb source=n_c939cb0b2310 edge_type=supports target=n_35d1c30f8dd9\nt=0031 QUERY source=n_48ac13d51a35 target=n_b452121fd620\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1563,"provenance":{"base_record_id":"train-d03-004","dataset":"livegraph-deterministic-parity-v3","depth":3,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d03-004","split":"train","variant":"clean"},"record_seed":52948214802078141,"render_sha256":"207ebdb305180cc232d39a794b254803b3369ed8e626de95b12214db25729a64","representation":"linear_trace","semantic_sha256":"53f366acd97e7b0f02b83b465380f52c00043b2853c05385b45aed18ceedd916"}
{"char_count":2921,"item_id":"train-d03-005::linear_trace","label":"FALSE","lexical_token_proxy_count":504,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_e6573207cc3f node_type=claim\nt=0001 CREATE_NODE id=n_166aba35d2ef node_type=claim\nt=0002 CREATE_NODE id=n_a72b46f9d1ed node_type=claim\nt=0003 CREATE_NODE id=n_50b2d3bfaff8 node_type=claim\nt=0004 CREATE_NODE id=n_fd847fd6767b node_type=claim\nt=0005 CREATE_NODE id=n_6e5711d93ff7 node_type=claim\nt=0006 CREATE_NODE id=n_8fec086baf5c node_type=claim\nt=0007 CREATE_NODE id=n_fff95c1bbdc8 node_type=claim\nt=0008 CREATE_NODE id=n_8376c28c625a node_type=claim\nt=0009 CREATE_NODE id=n_6f2096590d65 node_type=claim\nt=0010 CREATE_NODE id=n_79074c70ca12 node_type=claim\nt=0011 CREATE_NODE id=n_d2003a193692 node_type=claim\nt=0012 CREATE_NODE id=n_118fd5d708c7 node_type=claim\nt=0013 CREATE_NODE id=n_3f42634e679d node_type=claim\nt=0014 CREATE_NODE id=n_14bf78cce63f node_type=claim\nt=0015 CREATE_NODE id=n_55e885e22dd0 node_type=claim\nt=0016 ASSERT_ROOT node=n_8fec086baf5c value=TRUE\nt=0017 ADD_EDGE edge_id=e_f0f9b6a1418a source=n_8fec086baf5c edge_type=refutes target=n_e6573207cc3f\nt=0018 ADD_EDGE edge_id=e_dab44d59423c source=n_a72b46f9d1ed edge_type=refutes target=n_d2003a193692\nt=0019 ADD_EDGE edge_id=e_9aff4ad5aa76 source=n_118fd5d708c7 edge_type=refutes target=n_8376c28c625a\nt=0020 ADD_EDGE edge_id=e_caa2cba020ca source=n_a72b46f9d1ed edge_type=supports target=n_55e885e22dd0\nt=0021 ADD_EDGE edge_id=e_c2f9f712f704 source=n_166aba35d2ef edge_type=supports target=n_50b2d3bfaff8\nt=0022 ADD_EDGE edge_id=e_f4acb968d4e9 source=n_a72b46f9d1ed edge_type=supports target=n_fff95c1bbdc8\nt=0023 ADD_EDGE edge_id=e_f5c046b67af2 source=n_fff95c1bbdc8 edge_type=refutes target=n_fd847fd6767b\nt=0024 ADD_EDGE edge_id=e_084d2cf14309 source=n_8fec086baf5c edge_type=refutes target=n_3f42634e679d\nt=0025 ADD_EDGE edge_id=e_1e90a10720f6 source=n_6e5711d93ff7 edge_type=supports target=n_6f2096590d65\nt=0026 ADD_EDGE edge_id=e_b166537d5cc3 source=n_8fec086baf5c edge_type=supports target=n_79074c70ca12\nt=0027 ADD_EDGE edge_id=e_6f1c6c4fd842 source=n_118fd5d708c7 edge_type=supports target=n_166aba35d2ef\nt=0028 ADD_EDGE edge_id=e_2a72c2fce460 source=n_fff95c1bbdc8 edge_type=refutes target=n_6e5711d93ff7\nt=0029 ADD_EDGE edge_id=e_8934bb0b712a source=n_8fec086baf5c edge_type=refutes target=n_118fd5d708c7\nt=0030 ADD_EDGE edge_id=e_2cbee380ca2f source=n_d2003a193692 edge_type=supports target=n_14bf78cce63f\nt=0031 QUERY source=n_8fec086baf5c target=n_50b2d3bfaff8\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1520,"provenance":{"base_record_id":"train-d03-005","dataset":"livegraph-deterministic-parity-v3","depth":3,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d03-005","split":"train","variant":"clean"},"record_seed":847652152982441492,"render_sha256":"771feff59dc6dabfe900702fe7be2374384048d9181017a381eaf1ec9825a658","representation":"linear_trace","semantic_sha256":"d670113d04005ecfb5f861b736d285c60d921c68b55c60333e3e1c682496e79e"}
{"char_count":2922,"item_id":"train-d03-006::linear_trace","label":"TRUE","lexical_token_proxy_count":504,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_536e2e633af2 node_type=claim\nt=0001 CREATE_NODE id=n_7e365f189597 node_type=claim\nt=0002 CREATE_NODE id=n_319274873df6 node_type=claim\nt=0003 CREATE_NODE id=n_66234534d04e node_type=claim\nt=0004 CREATE_NODE id=n_8e6130bb66f4 node_type=claim\nt=0005 CREATE_NODE id=n_c73562421f7e node_type=claim\nt=0006 CREATE_NODE id=n_b932b239e836 node_type=claim\nt=0007 CREATE_NODE id=n_12754a1fbc63 node_type=claim\nt=0008 CREATE_NODE id=n_da00b4b13eca node_type=claim\nt=0009 CREATE_NODE id=n_a85e6d6904eb node_type=claim\nt=0010 CREATE_NODE id=n_ff25996d75ec node_type=claim\nt=0011 CREATE_NODE id=n_fbd54fa62154 node_type=claim\nt=0012 CREATE_NODE id=n_c237b78918cc node_type=claim\nt=0013 CREATE_NODE id=n_cca8a45c8eaf node_type=claim\nt=0014 CREATE_NODE id=n_449d74dac2ee node_type=claim\nt=0015 CREATE_NODE id=n_8aeca5828473 node_type=claim\nt=0016 ASSERT_ROOT node=n_ff25996d75ec value=FALSE\nt=0017 ADD_EDGE edge_id=e_407f4ed39a97 source=n_7e365f189597 edge_type=supports target=n_c237b78918cc\nt=0018 ADD_EDGE edge_id=e_e9a0ad6f68fe source=n_fbd54fa62154 edge_type=refutes target=n_da00b4b13eca\nt=0019 ADD_EDGE edge_id=e_f40f8a85999f source=n_ff25996d75ec edge_type=refutes target=n_66234534d04e\nt=0020 ADD_EDGE edge_id=e_21ffc1ac7382 source=n_c237b78918cc edge_type=refutes target=n_536e2e633af2\nt=0021 ADD_EDGE edge_id=e_1cf6e399b008 source=n_cca8a45c8eaf edge_type=refutes target=n_fbd54fa62154\nt=0022 ADD_EDGE edge_id=e_cbd55440f5ac source=n_cca8a45c8eaf edge_type=refutes target=n_449d74dac2ee\nt=0023 ADD_EDGE edge_id=e_93d5f33a547e source=n_fbd54fa62154 edge_type=supports target=n_b932b239e836\nt=0024 ADD_EDGE edge_id=e_7eea48381872 source=n_66234534d04e edge_type=supports target=n_7e365f189597\nt=0025 ADD_EDGE edge_id=e_04be0871329a source=n_cca8a45c8eaf edge_type=refutes target=n_8aeca5828473\nt=0026 ADD_EDGE edge_id=e_208d1995f0af source=n_c237b78918cc edge_type=supports target=n_a85e6d6904eb\nt=0027 ADD_EDGE edge_id=e_05755dd35cce source=n_c237b78918cc edge_type=supports target=n_319274873df6\nt=0028 ADD_EDGE edge_id=e_3392a57460a7 source=n_da00b4b13eca edge_type=supports target=n_12754a1fbc63\nt=0029 ADD_EDGE edge_id=e_ff2864993c55 source=n_ff25996d75ec edge_type=supports target=n_8e6130bb66f4\nt=0030 ADD_EDGE edge_id=e_641d31046ff1 source=n_fbd54fa62154 edge_type=refutes target=n_c73562421f7e\nt=0031 QUERY source=n_ff25996d75ec target=n_c237b78918cc\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1529,"provenance":{"base_record_id":"train-d03-006","dataset":"livegraph-deterministic-parity-v3","depth":3,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d03-006","split":"train","variant":"clean"},"record_seed":496355605625928753,"render_sha256":"3324285d2953fa3ac4e524ffa6fb87f5fdb331e211a7528bd28bd48cb67431e2","representation":"linear_trace","semantic_sha256":"dc3600a43a2dbac611bffb2345ba6b774754d4b3423a14e365c7081813b9eff7"}
{"char_count":2922,"item_id":"train-d03-007::linear_trace","label":"FALSE","lexical_token_proxy_count":504,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_b629d40bf56b node_type=claim\nt=0001 CREATE_NODE id=n_79c02e26ad1a node_type=claim\nt=0002 CREATE_NODE id=n_bcb9a7e4671c node_type=claim\nt=0003 CREATE_NODE id=n_1b659cf52db4 node_type=claim\nt=0004 CREATE_NODE id=n_aa51676b8ec5 node_type=claim\nt=0005 CREATE_NODE id=n_8e2eedb94656 node_type=claim\nt=0006 CREATE_NODE id=n_d39e68ab7daa node_type=claim\nt=0007 CREATE_NODE id=n_edc9623f6b43 node_type=claim\nt=0008 CREATE_NODE id=n_52db21aacb88 node_type=claim\nt=0009 CREATE_NODE id=n_e1017a44d422 node_type=claim\nt=0010 CREATE_NODE id=n_a13dd0c13cf4 node_type=claim\nt=0011 CREATE_NODE id=n_c7849a8ed2be node_type=claim\nt=0012 CREATE_NODE id=n_1eb2b55a67ce node_type=claim\nt=0013 CREATE_NODE id=n_1f9d1af2aa00 node_type=claim\nt=0014 CREATE_NODE id=n_2dcad3ae4c01 node_type=claim\nt=0015 CREATE_NODE id=n_4667f604779b node_type=claim\nt=0016 ASSERT_ROOT node=n_edc9623f6b43 value=FALSE\nt=0017 ADD_EDGE edge_id=e_986727e92093 source=n_b629d40bf56b edge_type=supports target=n_52db21aacb88\nt=0018 ADD_EDGE edge_id=e_3e78ccfa1567 source=n_1f9d1af2aa00 edge_type=supports target=n_e1017a44d422\nt=0019 ADD_EDGE edge_id=e_57362f01c4dc source=n_bcb9a7e4671c edge_type=supports target=n_a13dd0c13cf4\nt=0020 ADD_EDGE edge_id=e_5172cda3eb12 source=n_b629d40bf56b edge_type=refutes target=n_4667f604779b\nt=0021 ADD_EDGE edge_id=e_126838028bc7 source=n_b629d40bf56b edge_type=refutes target=n_1b659cf52db4\nt=0022 ADD_EDGE edge_id=e_faebdbdd2320 source=n_2dcad3ae4c01 edge_type=supports target=n_d39e68ab7daa\nt=0023 ADD_EDGE edge_id=e_602531673611 source=n_c7849a8ed2be edge_type=supports target=n_aa51676b8ec5\nt=0024 ADD_EDGE edge_id=e_a1c7188a58f4 source=n_edc9623f6b43 edge_type=refutes target=n_c7849a8ed2be\nt=0025 ADD_EDGE edge_id=e_145e65e16c43 source=n_b629d40bf56b edge_type=refutes target=n_2dcad3ae4c01\nt=0026 ADD_EDGE edge_id=e_fca5c3089678 source=n_1f9d1af2aa00 edge_type=refutes target=n_79c02e26ad1a\nt=0027 ADD_EDGE edge_id=e_04c0ba79f140 source=n_edc9623f6b43 edge_type=refutes target=n_1eb2b55a67ce\nt=0028 ADD_EDGE edge_id=e_050a68bda8a1 source=n_b629d40bf56b edge_type=supports target=n_bcb9a7e4671c\nt=0029 ADD_EDGE edge_id=e_f119ef6ca238 source=n_aa51676b8ec5 edge_type=refutes target=n_1f9d1af2aa00\nt=0030 ADD_EDGE edge_id=e_8e6ab5c9e831 source=n_c7849a8ed2be edge_type=supports target=n_8e2eedb94656\nt=0031 QUERY source=n_edc9623f6b43 target=n_1f9d1af2aa00\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1517,"provenance":{"base_record_id":"train-d03-007","dataset":"livegraph-deterministic-parity-v3","depth":3,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d03-007","split":"train","variant":"clean"},"record_seed":735826816836029894,"render_sha256":"1ac37321ff2958ff03230473454314ea39a021629c5eb1e2b1c3b4d2af1792bf","representation":"linear_trace","semantic_sha256":"ec08baeba7e0e2d0bf400beef4f956bcea2ac530b61a03987e8c48ddad0368e3"}
{"char_count":2921,"item_id":"train-d03-008::linear_trace","label":"TRUE","lexical_token_proxy_count":504,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_c5e99d76f7d4 node_type=claim\nt=0001 CREATE_NODE id=n_10bcf620fe49 node_type=claim\nt=0002 CREATE_NODE id=n_758773981150 node_type=claim\nt=0003 CREATE_NODE id=n_a9aa2a2c1cbf node_type=claim\nt=0004 CREATE_NODE id=n_91843c7427a7 node_type=claim\nt=0005 CREATE_NODE id=n_0b27fe6a0263 node_type=claim\nt=0006 CREATE_NODE id=n_4d6954e2d690 node_type=claim\nt=0007 CREATE_NODE id=n_8c0e78fdf9f8 node_type=claim\nt=0008 CREATE_NODE id=n_012e22bc26e7 node_type=claim\nt=0009 CREATE_NODE id=n_8dd4e9d4c225 node_type=claim\nt=0010 CREATE_NODE id=n_10267416a9dd node_type=claim\nt=0011 CREATE_NODE id=n_ba49faa3603f node_type=claim\nt=0012 CREATE_NODE id=n_ba5c1c84e48e node_type=claim\nt=0013 CREATE_NODE id=n_4c1d95121a14 node_type=claim\nt=0014 CREATE_NODE id=n_e2fcc5017236 node_type=claim\nt=0015 CREATE_NODE id=n_6ceeeace4477 node_type=claim\nt=0016 ASSERT_ROOT node=n_10bcf620fe49 value=TRUE\nt=0017 ADD_EDGE edge_id=e_654fb0434a1e source=n_e2fcc5017236 edge_type=refutes target=n_ba5c1c84e48e\nt=0018 ADD_EDGE edge_id=e_fddc2100e054 source=n_012e22bc26e7 edge_type=supports target=n_4c1d95121a14\nt=0019 ADD_EDGE edge_id=e_1af76c32d456 source=n_758773981150 edge_type=refutes target=n_4d6954e2d690\nt=0020 ADD_EDGE edge_id=e_881d00859209 source=n_6ceeeace4477 edge_type=supports target=n_758773981150\nt=0021 ADD_EDGE edge_id=e_ab4fbea8b5a2 source=n_10bcf620fe49 edge_type=supports target=n_a9aa2a2c1cbf\nt=0022 ADD_EDGE edge_id=e_1f45bdb515a9 source=n_4c1d95121a14 edge_type=refutes target=n_c5e99d76f7d4\nt=0023 ADD_EDGE edge_id=e_58fd4a61bb8f source=n_ba5c1c84e48e edge_type=supports target=n_10267416a9dd\nt=0024 ADD_EDGE edge_id=e_cdf271646ac9 source=n_e2fcc5017236 edge_type=supports target=n_8c0e78fdf9f8\nt=0025 ADD_EDGE edge_id=e_affd8ad393a7 source=n_6ceeeace4477 edge_type=refutes target=n_012e22bc26e7\nt=0026 ADD_EDGE edge_id=e_5789d9f9f7f7 source=n_10bcf620fe49 edge_type=refutes target=n_e2fcc5017236\nt=0027 ADD_EDGE edge_id=e_cb936fb2a7c8 source=n_758773981150 edge_type=supports target=n_91843c7427a7\nt=0028 ADD_EDGE edge_id=e_2c6b02edd146 source=n_6ceeeace4477 edge_type=refutes target=n_0b27fe6a0263\nt=0029 ADD_EDGE edge_id=e_c39b456eedaa source=n_ba5c1c84e48e edge_type=supports target=n_ba49faa3603f\nt=0030 ADD_EDGE edge_id=e_f7573435d581 source=n_e2fcc5017236 edge_type=refutes target=n_8dd4e9d4c225\nt=0031 QUERY source=n_10bcf620fe49 target=n_ba49faa3603f\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1531,"provenance":{"base_record_id":"train-d03-008","dataset":"livegraph-deterministic-parity-v3","depth":3,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d03-008","split":"train","variant":"clean"},"record_seed":250714933751369124,"render_sha256":"3740a3f0e7d01363b38d064409a575fc9296972037cb59fcccda1f29cebb4ec1","representation":"linear_trace","semantic_sha256":"a4c883a1d43ff6b7c833f7c79aec1a46773681c435a4d642933539bc0e7932b2"}
{"char_count":2921,"item_id":"train-d03-009::linear_trace","label":"FALSE","lexical_token_proxy_count":504,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_aa8f0b64f8ff node_type=claim\nt=0001 CREATE_NODE id=n_81165f09f2a3 node_type=claim\nt=0002 CREATE_NODE id=n_add8b36c92cb node_type=claim\nt=0003 CREATE_NODE id=n_e3407e282c51 node_type=claim\nt=0004 CREATE_NODE id=n_38c26696bd8c node_type=claim\nt=0005 CREATE_NODE id=n_e16ac6c15696 node_type=claim\nt=0006 CREATE_NODE id=n_87dbfcece337 node_type=claim\nt=0007 CREATE_NODE id=n_0252a35d2f9b node_type=claim\nt=0008 CREATE_NODE id=n_cc028c1c2d15 node_type=claim\nt=0009 CREATE_NODE id=n_3dd699eb8b8b node_type=claim\nt=0010 CREATE_NODE id=n_3f52c917d95d node_type=claim\nt=0011 CREATE_NODE id=n_5bc70e6382e7 node_type=claim\nt=0012 CREATE_NODE id=n_66c29394d0d5 node_type=claim\nt=0013 CREATE_NODE id=n_818814a8eb85 node_type=claim\nt=0014 CREATE_NODE id=n_4dc625f6d0a6 node_type=claim\nt=0015 CREATE_NODE id=n_dc98bdfba5b0 node_type=claim\nt=0016 ASSERT_ROOT node=n_3dd699eb8b8b value=TRUE\nt=0017 ADD_EDGE edge_id=e_96eaea6d19bb source=n_818814a8eb85 edge_type=supports target=n_5bc70e6382e7\nt=0018 ADD_EDGE edge_id=e_f15be2cb88d0 source=n_0252a35d2f9b edge_type=supports target=n_38c26696bd8c\nt=0019 ADD_EDGE edge_id=e_7d186ed890d7 source=n_4dc625f6d0a6 edge_type=refutes target=n_0252a35d2f9b\nt=0020 ADD_EDGE edge_id=e_212997735e8f source=n_38c26696bd8c edge_type=refutes target=n_818814a8eb85\nt=0021 ADD_EDGE edge_id=e_5c4abfd597e1 source=n_3dd699eb8b8b edge_type=refutes target=n_81165f09f2a3\nt=0022 ADD_EDGE edge_id=e_cafe5d9cd5e8 source=n_5bc70e6382e7 edge_type=supports target=n_e16ac6c15696\nt=0023 ADD_EDGE edge_id=e_b2a8814de936 source=n_3dd699eb8b8b edge_type=refutes target=n_3f52c917d95d\nt=0024 ADD_EDGE edge_id=e_ea3b5bb05635 source=n_3dd699eb8b8b edge_type=refutes target=n_dc98bdfba5b0\nt=0025 ADD_EDGE edge_id=e_38fd6fb0d7c7 source=n_e3407e282c51 edge_type=refutes target=n_cc028c1c2d15\nt=0026 ADD_EDGE edge_id=e_390f88ae3746 source=n_81165f09f2a3 edge_type=supports target=n_e3407e282c51\nt=0027 ADD_EDGE edge_id=e_28ca5b3a5867 source=n_e16ac6c15696 edge_type=refutes target=n_87dbfcece337\nt=0028 ADD_EDGE edge_id=e_09bb79a1a80d source=n_4dc625f6d0a6 edge_type=supports target=n_aa8f0b64f8ff\nt=0029 ADD_EDGE edge_id=e_4eeb57d1561f source=n_e3407e282c51 edge_type=supports target=n_add8b36c92cb\nt=0030 ADD_EDGE edge_id=e_bbe49c9ebfa3 source=n_3dd699eb8b8b edge_type=supports target=n_66c29394d0d5\nt=0031 QUERY source=n_3dd699eb8b8b target=n_add8b36c92cb\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1532,"provenance":{"base_record_id":"train-d03-009","dataset":"livegraph-deterministic-parity-v3","depth":3,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d03-009","split":"train","variant":"clean"},"record_seed":739538988408243413,"render_sha256":"19b3e7b90f7bb8aed653299de918a698382fcac0f5b1666fcc7235fe35607015","representation":"linear_trace","semantic_sha256":"d892b07e2c217fa0254cf0b1262ce3ef8ae6697a9516e01f72c5331d9a3202a7"}
{"char_count":2922,"item_id":"train-d03-010::linear_trace","label":"TRUE","lexical_token_proxy_count":504,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_0f244622b264 node_type=claim\nt=0001 CREATE_NODE id=n_35b828ccb90e node_type=claim\nt=0002 CREATE_NODE id=n_2028db0777d2 node_type=claim\nt=0003 CREATE_NODE id=n_d8bd3afbf72c node_type=claim\nt=0004 CREATE_NODE id=n_814e51e59d56 node_type=claim\nt=0005 CREATE_NODE id=n_e4419b9a0621 node_type=claim\nt=0006 CREATE_NODE id=n_38788b4833d0 node_type=claim\nt=0007 CREATE_NODE id=n_088bc3439922 node_type=claim\nt=0008 CREATE_NODE id=n_2d13ee5e4816 node_type=claim\nt=0009 CREATE_NODE id=n_40521856825d node_type=claim\nt=0010 CREATE_NODE id=n_a0185a994862 node_type=claim\nt=0011 CREATE_NODE id=n_27a52403ab48 node_type=claim\nt=0012 CREATE_NODE id=n_549e08b003d0 node_type=claim\nt=0013 CREATE_NODE id=n_796d93fa600b node_type=claim\nt=0014 CREATE_NODE id=n_048a9161ae60 node_type=claim\nt=0015 CREATE_NODE id=n_f978f100db8b node_type=claim\nt=0016 ASSERT_ROOT node=n_814e51e59d56 value=FALSE\nt=0017 ADD_EDGE edge_id=e_533c1f339248 source=n_814e51e59d56 edge_type=refutes target=n_f978f100db8b\nt=0018 ADD_EDGE edge_id=e_c978cdf39ab2 source=n_27a52403ab48 edge_type=refutes target=n_796d93fa600b\nt=0019 ADD_EDGE edge_id=e_511bce821fd8 source=n_f978f100db8b edge_type=supports target=n_088bc3439922\nt=0020 ADD_EDGE edge_id=e_b9245f424976 source=n_814e51e59d56 edge_type=refutes target=n_048a9161ae60\nt=0021 ADD_EDGE edge_id=e_f6d05d7e378b source=n_f978f100db8b edge_type=refutes target=n_2028db0777d2\nt=0022 ADD_EDGE edge_id=e_824f8e6fef66 source=n_549e08b003d0 edge_type=supports target=n_27a52403ab48\nt=0023 ADD_EDGE edge_id=e_552d5a54a4fe source=n_814e51e59d56 edge_type=refutes target=n_d8bd3afbf72c\nt=0024 ADD_EDGE edge_id=e_de5881010bf9 source=n_a0185a994862 edge_type=supports target=n_0f244622b264\nt=0025 ADD_EDGE edge_id=e_30d88e09fbc0 source=n_549e08b003d0 edge_type=refutes target=n_38788b4833d0\nt=0026 ADD_EDGE edge_id=e_6424de321ccb source=n_40521856825d edge_type=supports target=n_549e08b003d0\nt=0027 ADD_EDGE edge_id=e_6ffb6ec4d7f2 source=n_38788b4833d0 edge_type=refutes target=n_35b828ccb90e\nt=0028 ADD_EDGE edge_id=e_47004db1ac95 source=n_796d93fa600b edge_type=supports target=n_e4419b9a0621\nt=0029 ADD_EDGE edge_id=e_b7c2d4ce10b5 source=n_088bc3439922 edge_type=supports target=n_a0185a994862\nt=0030 ADD_EDGE edge_id=e_7e29ee974464 source=n_549e08b003d0 edge_type=supports target=n_2d13ee5e4816\nt=0031 QUERY source=n_814e51e59d56 target=n_a0185a994862\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1568,"provenance":{"base_record_id":"train-d03-010","dataset":"livegraph-deterministic-parity-v3","depth":3,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d03-010","split":"train","variant":"clean"},"record_seed":353187843759694851,"render_sha256":"2bb41274a6506dd03f180b8b53bfd5186b0f753fbb5b427eda313de99f273686","representation":"linear_trace","semantic_sha256":"2d26b7d8c5ce97cdc8f338b81fab9cca4a5988e1a4704d65c32a96f98d3ebb45"}
{"char_count":2922,"item_id":"train-d03-011::linear_trace","label":"FALSE","lexical_token_proxy_count":504,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_48790a6c6f22 node_type=claim\nt=0001 CREATE_NODE id=n_37eba51b693b node_type=claim\nt=0002 CREATE_NODE id=n_0f2507403770 node_type=claim\nt=0003 CREATE_NODE id=n_4d83ebbc9340 node_type=claim\nt=0004 CREATE_NODE id=n_e10cc8f4e53d node_type=claim\nt=0005 CREATE_NODE id=n_2d56c4ef748e node_type=claim\nt=0006 CREATE_NODE id=n_23dd7fdfcf72 node_type=claim\nt=0007 CREATE_NODE id=n_2b0468f09778 node_type=claim\nt=0008 CREATE_NODE id=n_7328e2939ac0 node_type=claim\nt=0009 CREATE_NODE id=n_78cdefa0acb9 node_type=claim\nt=0010 CREATE_NODE id=n_553ac6b503bf node_type=claim\nt=0011 CREATE_NODE id=n_a11a25b96aac node_type=claim\nt=0012 CREATE_NODE id=n_415003de7e5d node_type=claim\nt=0013 CREATE_NODE id=n_a9372725bb2b node_type=claim\nt=0014 CREATE_NODE id=n_d06f2dae9966 node_type=claim\nt=0015 CREATE_NODE id=n_c89c74bb74b3 node_type=claim\nt=0016 ASSERT_ROOT node=n_e10cc8f4e53d value=FALSE\nt=0017 ADD_EDGE edge_id=e_fdefb80d9d1e source=n_48790a6c6f22 edge_type=supports target=n_23dd7fdfcf72\nt=0018 ADD_EDGE edge_id=e_1d21c45ecef4 source=n_48790a6c6f22 edge_type=supports target=n_78cdefa0acb9\nt=0019 ADD_EDGE edge_id=e_b6211fdccdbb source=n_7328e2939ac0 edge_type=refutes target=n_d06f2dae9966\nt=0020 ADD_EDGE edge_id=e_29745267c6b2 source=n_37eba51b693b edge_type=refutes target=n_553ac6b503bf\nt=0021 ADD_EDGE edge_id=e_2beff0bfb55e source=n_48790a6c6f22 edge_type=refutes target=n_a9372725bb2b\nt=0022 ADD_EDGE edge_id=e_f71de290c1ee source=n_48790a6c6f22 edge_type=supports target=n_2b0468f09778\nt=0023 ADD_EDGE edge_id=e_99f470209ea5 source=n_e10cc8f4e53d edge_type=supports target=n_a11a25b96aac\nt=0024 ADD_EDGE edge_id=e_3542cf96f6f6 source=n_37eba51b693b edge_type=refutes target=n_c89c74bb74b3\nt=0025 ADD_EDGE edge_id=e_8f165f821ef3 source=n_37eba51b693b edge_type=refutes target=n_7328e2939ac0\nt=0026 ADD_EDGE edge_id=e_ada62d7c5ed8 source=n_a9372725bb2b edge_type=refutes target=n_4d83ebbc9340\nt=0027 ADD_EDGE edge_id=e_e155fa7d1e87 source=n_e10cc8f4e53d edge_type=supports target=n_48790a6c6f22\nt=0028 ADD_EDGE edge_id=e_c37d93f1c839 source=n_37eba51b693b edge_type=supports target=n_0f2507403770\nt=0029 ADD_EDGE edge_id=e_2f3ab7a019cd source=n_37eba51b693b edge_type=supports target=n_2d56c4ef748e\nt=0030 ADD_EDGE edge_id=e_12cfa2f844d7 source=n_7328e2939ac0 edge_type=refutes target=n_415003de7e5d\nt=0031 QUERY source=n_e10cc8f4e53d target=n_4d83ebbc9340\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1533,"provenance":{"base_record_id":"train-d03-011","dataset":"livegraph-deterministic-parity-v3","depth":3,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d03-011","split":"train","variant":"clean"},"record_seed":740979147727232464,"render_sha256":"4e6496b03c1ffb659d1663ecd806a667e18621ca7050304f981c7b7b90ed41c5","representation":"linear_trace","semantic_sha256":"56aa8fed4e3129975c0cfd4ff6e0be3f8c76e4c0a2f2ff492eb88fed662ee956"}
{"char_count":2921,"item_id":"train-d03-012::linear_trace","label":"TRUE","lexical_token_proxy_count":504,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_654685296ab7 node_type=claim\nt=0001 CREATE_NODE id=n_8f04ab84a53b node_type=claim\nt=0002 CREATE_NODE id=n_b282e1faec08 node_type=claim\nt=0003 CREATE_NODE id=n_f36b23a023f9 node_type=claim\nt=0004 CREATE_NODE id=n_5baf0d7cce12 node_type=claim\nt=0005 CREATE_NODE id=n_ec18b8dab531 node_type=claim\nt=0006 CREATE_NODE id=n_3a1e525b6794 node_type=claim\nt=0007 CREATE_NODE id=n_cef7f482f462 node_type=claim\nt=0008 CREATE_NODE id=n_907bf1252ddc node_type=claim\nt=0009 CREATE_NODE id=n_9fdbf1179ddc node_type=claim\nt=0010 CREATE_NODE id=n_d5af8314a158 node_type=claim\nt=0011 CREATE_NODE id=n_5419e7759b75 node_type=claim\nt=0012 CREATE_NODE id=n_a534d73e8752 node_type=claim\nt=0013 CREATE_NODE id=n_73dacf472ecc node_type=claim\nt=0014 CREATE_NODE id=n_f524b72a389a node_type=claim\nt=0015 CREATE_NODE id=n_6b709df5ac98 node_type=claim\nt=0016 ASSERT_ROOT node=n_d5af8314a158 value=TRUE\nt=0017 ADD_EDGE edge_id=e_c95300883ef5 source=n_5baf0d7cce12 edge_type=supports target=n_b282e1faec08\nt=0018 ADD_EDGE edge_id=e_4637a61eba8f source=n_6b709df5ac98 edge_type=refutes target=n_73dacf472ecc\nt=0019 ADD_EDGE edge_id=e_fa7e5025f6e6 source=n_ec18b8dab531 edge_type=supports target=n_9fdbf1179ddc\nt=0020 ADD_EDGE edge_id=e_a31c289a66cf source=n_cef7f482f462 edge_type=refutes target=n_3a1e525b6794\nt=0021 ADD_EDGE edge_id=e_c6b77b8e522c source=n_cef7f482f462 edge_type=supports target=n_5419e7759b75\nt=0022 ADD_EDGE edge_id=e_a365d2d99584 source=n_73dacf472ecc edge_type=refutes target=n_5baf0d7cce12\nt=0023 ADD_EDGE edge_id=e_8f74a7ed585d source=n_d5af8314a158 edge_type=refutes target=n_cef7f482f462\nt=0024 ADD_EDGE edge_id=e_4b005e6a72c8 source=n_cef7f482f462 edge_type=supports target=n_907bf1252ddc\nt=0025 ADD_EDGE edge_id=e_94d060e32314 source=n_cef7f482f462 edge_type=supports target=n_8f04ab84a53b\nt=0026 ADD_EDGE edge_id=e_739f9f17e482 source=n_8f04ab84a53b edge_type=refutes target=n_654685296ab7\nt=0027 ADD_EDGE edge_id=e_4453d039bc58 source=n_6b709df5ac98 edge_type=refutes target=n_a534d73e8752\nt=0028 ADD_EDGE edge_id=e_e9a617b83de5 source=n_6b709df5ac98 edge_type=supports target=n_ec18b8dab531\nt=0029 ADD_EDGE edge_id=e_2e0a049c8c01 source=n_ec18b8dab531 edge_type=refutes target=n_f36b23a023f9\nt=0030 ADD_EDGE edge_id=e_bf90c3deed32 source=n_d5af8314a158 edge_type=supports target=n_f524b72a389a\nt=0031 QUERY source=n_d5af8314a158 target=n_654685296ab7\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1529,"provenance":{"base_record_id":"train-d03-012","dataset":"livegraph-deterministic-parity-v3","depth":3,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d03-012","split":"train","variant":"clean"},"record_seed":496790728500983708,"render_sha256":"ed04840ae0210941147e15e490b246237ad5614bfd7f52223048d8777bdef983","representation":"linear_trace","semantic_sha256":"587a405961d957b3f7313592de3ec8b7ebe6a4882184c17b3414ad7a30c3483d"}
{"char_count":2921,"item_id":"train-d03-013::linear_trace","label":"FALSE","lexical_token_proxy_count":504,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_39c7d64caa50 node_type=claim\nt=0001 CREATE_NODE id=n_2a0fd211fbfa node_type=claim\nt=0002 CREATE_NODE id=n_c333bc2a72eb node_type=claim\nt=0003 CREATE_NODE id=n_e9db5eb3bc14 node_type=claim\nt=0004 CREATE_NODE id=n_facd5bfd2fb4 node_type=claim\nt=0005 CREATE_NODE id=n_ae74dfaddc16 node_type=claim\nt=0006 CREATE_NODE id=n_4bb11b92ee64 node_type=claim\nt=0007 CREATE_NODE id=n_0019912210d6 node_type=claim\nt=0008 CREATE_NODE id=n_65938df00a3c node_type=claim\nt=0009 CREATE_NODE id=n_f216069e7de9 node_type=claim\nt=0010 CREATE_NODE id=n_fdaad32742eb node_type=claim\nt=0011 CREATE_NODE id=n_b1fa7ff2954a node_type=claim\nt=0012 CREATE_NODE id=n_0d08f2bbcb44 node_type=claim\nt=0013 CREATE_NODE id=n_ec2fac366b6e node_type=claim\nt=0014 CREATE_NODE id=n_8d4b4fcbabe5 node_type=claim\nt=0015 CREATE_NODE id=n_be8c74b25c48 node_type=claim\nt=0016 ASSERT_ROOT node=n_ec2fac366b6e value=TRUE\nt=0017 ADD_EDGE edge_id=e_a2ede3b3a661 source=n_65938df00a3c edge_type=supports target=n_be8c74b25c48\nt=0018 ADD_EDGE edge_id=e_55a06fe4a5c6 source=n_ae74dfaddc16 edge_type=supports target=n_8d4b4fcbabe5\nt=0019 ADD_EDGE edge_id=e_a8ffd450a969 source=n_8d4b4fcbabe5 edge_type=refutes target=n_65938df00a3c\nt=0020 ADD_EDGE edge_id=e_959ff912f009 source=n_4bb11b92ee64 edge_type=supports target=n_0019912210d6\nt=0021 ADD_EDGE edge_id=e_11e1f5f72d12 source=n_ec2fac366b6e edge_type=refutes target=n_4bb11b92ee64\nt=0022 ADD_EDGE edge_id=e_333e2150fe57 source=n_ec2fac366b6e edge_type=supports target=n_facd5bfd2fb4\nt=0023 ADD_EDGE edge_id=e_13feb8ac669a source=n_39c7d64caa50 edge_type=refutes target=n_b1fa7ff2954a\nt=0024 ADD_EDGE edge_id=e_c5bd4a971f19 source=n_4bb11b92ee64 edge_type=refutes target=n_fdaad32742eb\nt=0025 ADD_EDGE edge_id=e_52e57f17e577 source=n_ec2fac366b6e edge_type=refutes target=n_2a0fd211fbfa\nt=0026 ADD_EDGE edge_id=e_5a9380852813 source=n_0019912210d6 edge_type=supports target=n_39c7d64caa50\nt=0027 ADD_EDGE edge_id=e_ee76ac14e3ca source=n_65938df00a3c edge_type=refutes target=n_e9db5eb3bc14\nt=0028 ADD_EDGE edge_id=e_0b834b5b6131 source=n_8d4b4fcbabe5 edge_type=refutes target=n_f216069e7de9\nt=0029 ADD_EDGE edge_id=e_b5de0aa5341f source=n_e9db5eb3bc14 edge_type=supports target=n_c333bc2a72eb\nt=0030 ADD_EDGE edge_id=e_5ad341ec6b6a source=n_65938df00a3c edge_type=supports target=n_0d08f2bbcb44\nt=0031 QUERY source=n_ec2fac366b6e target=n_39c7d64caa50\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1489,"provenance":{"base_record_id":"train-d03-013","dataset":"livegraph-deterministic-parity-v3","depth":3,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d03-013","split":"train","variant":"clean"},"record_seed":766914995276604445,"render_sha256":"37bf12c62834697b2767cd6bdcecc249c8675cd53ab4c48c2c59260f20192766","representation":"linear_trace","semantic_sha256":"8369fbc3afb99eda8258b083046e0b6beb7994b956c46d41765af860750d4059"}
{"char_count":2922,"item_id":"train-d03-014::linear_trace","label":"TRUE","lexical_token_proxy_count":504,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_c449d2c7cf5f node_type=claim\nt=0001 CREATE_NODE id=n_0c70dd9fbdba node_type=claim\nt=0002 CREATE_NODE id=n_93fad06189bf node_type=claim\nt=0003 CREATE_NODE id=n_b67f85f2caa1 node_type=claim\nt=0004 CREATE_NODE id=n_7ccf4c16257d node_type=claim\nt=0005 CREATE_NODE id=n_568d9c43069e node_type=claim\nt=0006 CREATE_NODE id=n_d9610dc7760a node_type=claim\nt=0007 CREATE_NODE id=n_d0facc67b255 node_type=claim\nt=0008 CREATE_NODE id=n_0d3466458426 node_type=claim\nt=0009 CREATE_NODE id=n_6353c2dbfe4a node_type=claim\nt=0010 CREATE_NODE id=n_3db8ff20992a node_type=claim\nt=0011 CREATE_NODE id=n_77ae1452047c node_type=claim\nt=0012 CREATE_NODE id=n_8239d499de71 node_type=claim\nt=0013 CREATE_NODE id=n_0c05a6ba8982 node_type=claim\nt=0014 CREATE_NODE id=n_c21b4419ccd3 node_type=claim\nt=0015 CREATE_NODE id=n_f8f08ebf55a2 node_type=claim\nt=0016 ASSERT_ROOT node=n_d9610dc7760a value=FALSE\nt=0017 ADD_EDGE edge_id=e_11c9e4d37dd2 source=n_0c05a6ba8982 edge_type=supports target=n_0c70dd9fbdba\nt=0018 ADD_EDGE edge_id=e_93838931ae3b source=n_d9610dc7760a edge_type=refutes target=n_0d3466458426\nt=0019 ADD_EDGE edge_id=e_8700b3fadf4e source=n_6353c2dbfe4a edge_type=supports target=n_8239d499de71\nt=0020 ADD_EDGE edge_id=e_e03aa201e00d source=n_d9610dc7760a edge_type=supports target=n_77ae1452047c\nt=0021 ADD_EDGE edge_id=e_f4f135d1573f source=n_568d9c43069e edge_type=refutes target=n_c449d2c7cf5f\nt=0022 ADD_EDGE edge_id=e_9bacc621e3dc source=n_6353c2dbfe4a edge_type=refutes target=n_c21b4419ccd3\nt=0023 ADD_EDGE edge_id=e_ad79873c528f source=n_7ccf4c16257d edge_type=supports target=n_568d9c43069e\nt=0024 ADD_EDGE edge_id=e_83529bdbf7b4 source=n_568d9c43069e edge_type=supports target=n_d0facc67b255\nt=0025 ADD_EDGE edge_id=e_adb0c02d4f3f source=n_6353c2dbfe4a edge_type=supports target=n_b67f85f2caa1\nt=0026 ADD_EDGE edge_id=e_c1104b4cfb92 source=n_d9610dc7760a edge_type=refutes target=n_7ccf4c16257d\nt=0027 ADD_EDGE edge_id=e_176b72b3259f source=n_6353c2dbfe4a edge_type=refutes target=n_0c05a6ba8982\nt=0028 ADD_EDGE edge_id=e_dd9235f6d4b7 source=n_6353c2dbfe4a edge_type=supports target=n_93fad06189bf\nt=0029 ADD_EDGE edge_id=e_1ef70b69117c source=n_d9610dc7760a edge_type=refutes target=n_f8f08ebf55a2\nt=0030 ADD_EDGE edge_id=e_0c69324da977 source=n_6353c2dbfe4a edge_type=refutes target=n_3db8ff20992a\nt=0031 QUERY source=n_d9610dc7760a target=n_d0facc67b255\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1531,"provenance":{"base_record_id":"train-d03-014","dataset":"livegraph-deterministic-parity-v3","depth":3,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d03-014","split":"train","variant":"clean"},"record_seed":196768483825964344,"render_sha256":"cb7b24b3dcb926381d2dcd1ddeffb4c9813aef9b079936b22c3c918db0b8bbea","representation":"linear_trace","semantic_sha256":"39cafd498868f4c08960c61b659ceac5cdaff5010be9af2fcda263f3b16c709a"}
{"char_count":2922,"item_id":"train-d03-015::linear_trace","label":"FALSE","lexical_token_proxy_count":504,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_611aadfb9e92 node_type=claim\nt=0001 CREATE_NODE id=n_4300f8cc4287 node_type=claim\nt=0002 CREATE_NODE id=n_62cdda04a185 node_type=claim\nt=0003 CREATE_NODE id=n_421885e0ea16 node_type=claim\nt=0004 CREATE_NODE id=n_1bb73db5a069 node_type=claim\nt=0005 CREATE_NODE id=n_80007375fee3 node_type=claim\nt=0006 CREATE_NODE id=n_e4dd789e87e8 node_type=claim\nt=0007 CREATE_NODE id=n_c075f4dc6898 node_type=claim\nt=0008 CREATE_NODE id=n_f5fcaa015531 node_type=claim\nt=0009 CREATE_NODE id=n_4c9749f5aed5 node_type=claim\nt=0010 CREATE_NODE id=n_a99820de215d node_type=claim\nt=0011 CREATE_NODE id=n_39ebe784975c node_type=claim\nt=0012 CREATE_NODE id=n_2c9637b91cc4 node_type=claim\nt=0013 CREATE_NODE id=n_af640559d717 node_type=claim\nt=0014 CREATE_NODE id=n_e972ea731bbe node_type=claim\nt=0015 CREATE_NODE id=n_c06bcd21e600 node_type=claim\nt=0016 ASSERT_ROOT node=n_1bb73db5a069 value=FALSE\nt=0017 ADD_EDGE edge_id=e_111d2b0e70ad source=n_e972ea731bbe edge_type=supports target=n_f5fcaa015531\nt=0018 ADD_EDGE edge_id=e_e00cc35fd4a6 source=n_39ebe784975c edge_type=refutes target=n_611aadfb9e92\nt=0019 ADD_EDGE edge_id=e_a9c601469fcf source=n_4c9749f5aed5 edge_type=refutes target=n_c06bcd21e600\nt=0020 ADD_EDGE edge_id=e_4e7e40379747 source=n_39ebe784975c edge_type=supports target=n_421885e0ea16\nt=0021 ADD_EDGE edge_id=e_40906a863c84 source=n_af640559d717 edge_type=refutes target=n_80007375fee3\nt=0022 ADD_EDGE edge_id=e_228364d61d70 source=n_e972ea731bbe edge_type=supports target=n_2c9637b91cc4\nt=0023 ADD_EDGE edge_id=e_2e51c8a90502 source=n_e972ea731bbe edge_type=supports target=n_4c9749f5aed5\nt=0024 ADD_EDGE edge_id=e_314141da0b36 source=n_4c9749f5aed5 edge_type=refutes target=n_e4dd789e87e8\nt=0025 ADD_EDGE edge_id=e_c3ea2ae468be source=n_611aadfb9e92 edge_type=refutes target=n_4300f8cc4287\nt=0026 ADD_EDGE edge_id=e_092e0b10d2e6 source=n_611aadfb9e92 edge_type=refutes target=n_af640559d717\nt=0027 ADD_EDGE edge_id=e_bc058ee5ca91 source=n_e972ea731bbe edge_type=supports target=n_a99820de215d\nt=0028 ADD_EDGE edge_id=e_72c77882ccb3 source=n_f5fcaa015531 edge_type=supports target=n_c075f4dc6898\nt=0029 ADD_EDGE edge_id=e_f35a5d039eae source=n_1bb73db5a069 edge_type=supports target=n_39ebe784975c\nt=0030 ADD_EDGE edge_id=e_b8ad1d9d7186 source=n_611aadfb9e92 edge_type=refutes target=n_62cdda04a185\nt=0031 QUERY source=n_1bb73db5a069 target=n_af640559d717\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1514,"provenance":{"base_record_id":"train-d03-015","dataset":"livegraph-deterministic-parity-v3","depth":3,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d03-015","split":"train","variant":"clean"},"record_seed":1036568495704712713,"render_sha256":"fa37987cae7386c432e0d6583c02446f1ae175d28dc48e3eb9046b6adccf1d4b","representation":"linear_trace","semantic_sha256":"a85aa493570d6d90678262872d7af908a86682572dbfcf77323a1d209f6552db"}
{"char_count":2921,"item_id":"train-d03-016::linear_trace","label":"TRUE","lexical_token_proxy_count":504,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_c3914b43a6a7 node_type=claim\nt=0001 CREATE_NODE id=n_def9153ef212 node_type=claim\nt=0002 CREATE_NODE id=n_2d002a44013f node_type=claim\nt=0003 CREATE_NODE id=n_ad3bacd8832e node_type=claim\nt=0004 CREATE_NODE id=n_15b635f3d91a node_type=claim\nt=0005 CREATE_NODE id=n_e964d6934ae3 node_type=claim\nt=0006 CREATE_NODE id=n_49eaaa90f675 node_type=claim\nt=0007 CREATE_NODE id=n_f99d6ceb66e6 node_type=claim\nt=0008 CREATE_NODE id=n_ffe2ade252ff node_type=claim\nt=0009 CREATE_NODE id=n_3c2c48a69b9b node_type=claim\nt=0010 CREATE_NODE id=n_d1ed2d73f965 node_type=claim\nt=0011 CREATE_NODE id=n_8f3ed2c0b84f node_type=claim\nt=0012 CREATE_NODE id=n_6b5c439a31e9 node_type=claim\nt=0013 CREATE_NODE id=n_e23f12593d4c node_type=claim\nt=0014 CREATE_NODE id=n_cc888f7f0e86 node_type=claim\nt=0015 CREATE_NODE id=n_977b95ddf34e node_type=claim\nt=0016 ASSERT_ROOT node=n_c3914b43a6a7 value=TRUE\nt=0017 ADD_EDGE edge_id=e_12ff04a15518 source=n_def9153ef212 edge_type=supports target=n_977b95ddf34e\nt=0018 ADD_EDGE edge_id=e_acf5ab130f62 source=n_def9153ef212 edge_type=supports target=n_f99d6ceb66e6\nt=0019 ADD_EDGE edge_id=e_721fd604a203 source=n_2d002a44013f edge_type=supports target=n_cc888f7f0e86\nt=0020 ADD_EDGE edge_id=e_7a7925149b9a source=n_d1ed2d73f965 edge_type=refutes target=n_e964d6934ae3\nt=0021 ADD_EDGE edge_id=e_d265a0c670d2 source=n_8f3ed2c0b84f edge_type=supports target=n_3c2c48a69b9b\nt=0022 ADD_EDGE edge_id=e_26a5ac32469b source=n_c3914b43a6a7 edge_type=refutes target=n_ffe2ade252ff\nt=0023 ADD_EDGE edge_id=e_ba5fb60c86f7 source=n_e964d6934ae3 edge_type=refutes target=n_e23f12593d4c\nt=0024 ADD_EDGE edge_id=e_81c54f6e023b source=n_ffe2ade252ff edge_type=supports target=n_ad3bacd8832e\nt=0025 ADD_EDGE edge_id=e_c2aa41c373fb source=n_ffe2ade252ff edge_type=supports target=n_6b5c439a31e9\nt=0026 ADD_EDGE edge_id=e_4305336252e5 source=n_ffe2ade252ff edge_type=supports target=n_d1ed2d73f965\nt=0027 ADD_EDGE edge_id=e_c353fca85381 source=n_e964d6934ae3 edge_type=refutes target=n_15b635f3d91a\nt=0028 ADD_EDGE edge_id=e_a08de2f9e26c source=n_977b95ddf34e edge_type=refutes target=n_2d002a44013f\nt=0029 ADD_EDGE edge_id=e_e127ec1efbc5 source=n_def9153ef212 edge_type=refutes target=n_8f3ed2c0b84f\nt=0030 ADD_EDGE edge_id=e_b33725feef3c source=n_def9153ef212 edge_type=refutes target=n_49eaaa90f675\nt=0031 QUERY source=n_c3914b43a6a7 target=n_e964d6934ae3\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1528,"provenance":{"base_record_id":"train-d03-016","dataset":"livegraph-deterministic-parity-v3","depth":3,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d03-016","split":"train","variant":"clean"},"record_seed":884641780319056074,"render_sha256":"a5adf98e7d7bc7bd1555a880c0d41523f4067c11d2d6cb101b17897ff213bacb","representation":"linear_trace","semantic_sha256":"f7337382441cd9a8471ea46b7b4409c76680479d5a1da72ddc0541e993db01f7"}
{"char_count":2921,"item_id":"train-d03-017::linear_trace","label":"FALSE","lexical_token_proxy_count":504,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_94570bba799b node_type=claim\nt=0001 CREATE_NODE id=n_8cab434b489c node_type=claim\nt=0002 CREATE_NODE id=n_03b797e18bba node_type=claim\nt=0003 CREATE_NODE id=n_17e6313d43e7 node_type=claim\nt=0004 CREATE_NODE id=n_18f4cb032686 node_type=claim\nt=0005 CREATE_NODE id=n_01a21ff7556d node_type=claim\nt=0006 CREATE_NODE id=n_58d3347b6fd7 node_type=claim\nt=0007 CREATE_NODE id=n_bd8eab5d9ea7 node_type=claim\nt=0008 CREATE_NODE id=n_02a463ecb4f2 node_type=claim\nt=0009 CREATE_NODE id=n_569cc0e3cd2e node_type=claim\nt=0010 CREATE_NODE id=n_8d4b6a09b808 node_type=claim\nt=0011 CREATE_NODE id=n_987bbd9f2548 node_type=claim\nt=0012 CREATE_NODE id=n_2aea4852936c node_type=claim\nt=0013 CREATE_NODE id=n_c6958e5d411a node_type=claim\nt=0014 CREATE_NODE id=n_089b324a0074 node_type=claim\nt=0015 CREATE_NODE id=n_52c065341518 node_type=claim\nt=0016 ASSERT_ROOT node=n_02a463ecb4f2 value=TRUE\nt=0017 ADD_EDGE edge_id=e_d0068977bc90 source=n_02a463ecb4f2 edge_type=refutes target=n_c6958e5d411a\nt=0018 ADD_EDGE edge_id=e_d41886a7b0ef source=n_01a21ff7556d edge_type=refutes target=n_987bbd9f2548\nt=0019 ADD_EDGE edge_id=e_ee88cbcb1ebc source=n_8d4b6a09b808 edge_type=refutes target=n_94570bba799b\nt=0020 ADD_EDGE edge_id=e_8b25929560d5 source=n_089b324a0074 edge_type=supports target=n_58d3347b6fd7\nt=0021 ADD_EDGE edge_id=e_6b16aa47c83b source=n_01a21ff7556d edge_type=refutes target=n_52c065341518\nt=0022 ADD_EDGE edge_id=e_35c2875223aa source=n_17e6313d43e7 edge_type=supports target=n_569cc0e3cd2e\nt=0023 ADD_EDGE edge_id=e_de1b41aa7cf0 source=n_01a21ff7556d edge_type=supports target=n_089b324a0074\nt=0024 ADD_EDGE edge_id=e_b6a666ac9bc1 source=n_2aea4852936c edge_type=supports target=n_8d4b6a09b808\nt=0025 ADD_EDGE edge_id=e_6c26099d5d0d source=n_02a463ecb4f2 edge_type=supports target=n_8cab434b489c\nt=0026 ADD_EDGE edge_id=e_bdd37048ac75 source=n_02a463ecb4f2 edge_type=refutes target=n_2aea4852936c\nt=0027 ADD_EDGE edge_id=e_de346200c4e2 source=n_8d4b6a09b808 edge_type=supports target=n_03b797e18bba\nt=0028 ADD_EDGE edge_id=e_ed7f16fcffda source=n_01a21ff7556d edge_type=refutes target=n_17e6313d43e7\nt=0029 ADD_EDGE edge_id=e_772fdb9317ab source=n_8d4b6a09b808 edge_type=supports target=n_bd8eab5d9ea7\nt=0030 ADD_EDGE edge_id=e_b4f24a13f90d source=n_987bbd9f2548 edge_type=refutes target=n_18f4cb032686\nt=0031 QUERY source=n_02a463ecb4f2 target=n_03b797e18bba\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1547,"provenance":{"base_record_id":"train-d03-017","dataset":"livegraph-deterministic-parity-v3","depth":3,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d03-017","split":"train","variant":"clean"},"record_seed":1127590426219678825,"render_sha256":"1e6fa73bb5aabf1b38d5eccf5e1ffc672a96c684d3b9cf8cd0770f04a514db8e","representation":"linear_trace","semantic_sha256":"796ca7aace848c76213473837fdac3fd1b4f43e6eba16871a9663c7cf06d2bdf"}
{"char_count":2922,"item_id":"train-d03-018::linear_trace","label":"TRUE","lexical_token_proxy_count":504,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_51479ba9b13d node_type=claim\nt=0001 CREATE_NODE id=n_a17891fe44fc node_type=claim\nt=0002 CREATE_NODE id=n_bddd0106d11b node_type=claim\nt=0003 CREATE_NODE id=n_cbfea55b3ac6 node_type=claim\nt=0004 CREATE_NODE id=n_1bb1d08792dd node_type=claim\nt=0005 CREATE_NODE id=n_5e01fee06c33 node_type=claim\nt=0006 CREATE_NODE id=n_8451c3d435bc node_type=claim\nt=0007 CREATE_NODE id=n_b589668aeeaa node_type=claim\nt=0008 CREATE_NODE id=n_70d3645e3de3 node_type=claim\nt=0009 CREATE_NODE id=n_ef1fdfbf134c node_type=claim\nt=0010 CREATE_NODE id=n_b67df8343e56 node_type=claim\nt=0011 CREATE_NODE id=n_0eb7ad39de8f node_type=claim\nt=0012 CREATE_NODE id=n_0a323c69ae6a node_type=claim\nt=0013 CREATE_NODE id=n_e85978e93e67 node_type=claim\nt=0014 CREATE_NODE id=n_2e8dc913a0bb node_type=claim\nt=0015 CREATE_NODE id=n_070885e77328 node_type=claim\nt=0016 ASSERT_ROOT node=n_51479ba9b13d value=FALSE\nt=0017 ADD_EDGE edge_id=e_71b6e4b24aca source=n_51479ba9b13d edge_type=supports target=n_b589668aeeaa\nt=0018 ADD_EDGE edge_id=e_e8a64de141a9 source=n_1bb1d08792dd edge_type=supports target=n_ef1fdfbf134c\nt=0019 ADD_EDGE edge_id=e_ec8b2845ae8e source=n_b589668aeeaa edge_type=refutes target=n_cbfea55b3ac6\nt=0020 ADD_EDGE edge_id=e_d1865cfccfa4 source=n_70d3645e3de3 edge_type=refutes target=n_a17891fe44fc\nt=0021 ADD_EDGE edge_id=e_92993c814260 source=n_b589668aeeaa edge_type=supports target=n_e85978e93e67\nt=0022 ADD_EDGE edge_id=e_175e87ee6e63 source=n_b589668aeeaa edge_type=refutes target=n_1bb1d08792dd\nt=0023 ADD_EDGE edge_id=e_ddb48e82d7dc source=n_b67df8343e56 edge_type=supports target=n_70d3645e3de3\nt=0024 ADD_EDGE edge_id=e_5558270dcab0 source=n_0a323c69ae6a edge_type=refutes target=n_b67df8343e56\nt=0025 ADD_EDGE edge_id=e_671b105b4690 source=n_ef1fdfbf134c edge_type=refutes target=n_2e8dc913a0bb\nt=0026 ADD_EDGE edge_id=e_f7f9d816cf42 source=n_070885e77328 edge_type=supports target=n_bddd0106d11b\nt=0027 ADD_EDGE edge_id=e_aff0282944b4 source=n_0a323c69ae6a edge_type=refutes target=n_8451c3d435bc\nt=0028 ADD_EDGE edge_id=e_2d5042b3fe01 source=n_51479ba9b13d edge_type=refutes target=n_5e01fee06c33\nt=0029 ADD_EDGE edge_id=e_ee7573ac7d91 source=n_a17891fe44fc edge_type=supports target=n_0eb7ad39de8f\nt=0030 ADD_EDGE edge_id=e_d572645edd2c source=n_b67df8343e56 edge_type=supports target=n_070885e77328\nt=0031 QUERY source=n_51479ba9b13d target=n_ef1fdfbf134c\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1515,"provenance":{"base_record_id":"train-d03-018","dataset":"livegraph-deterministic-parity-v3","depth":3,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d03-018","split":"train","variant":"clean"},"record_seed":1057483462935141447,"render_sha256":"029d398d0d160e0681ead7302e252ff0156d54095d9e5391db91482fe0e77a68","representation":"linear_trace","semantic_sha256":"d9ffbf47c9518a76f0f51779fe5a005a24b3eeaf21d34662de90ebfdbb24c1eb"}
{"char_count":2922,"item_id":"train-d03-019::linear_trace","label":"FALSE","lexical_token_proxy_count":504,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_209b2352b242 node_type=claim\nt=0001 CREATE_NODE id=n_7180f299a686 node_type=claim\nt=0002 CREATE_NODE id=n_445270931f0b node_type=claim\nt=0003 CREATE_NODE id=n_6ddc4d414880 node_type=claim\nt=0004 CREATE_NODE id=n_16ede7e5e583 node_type=claim\nt=0005 CREATE_NODE id=n_c43d594313bb node_type=claim\nt=0006 CREATE_NODE id=n_da15c4bdd24f node_type=claim\nt=0007 CREATE_NODE id=n_e5721e3f43d8 node_type=claim\nt=0008 CREATE_NODE id=n_30f0c7551faf node_type=claim\nt=0009 CREATE_NODE id=n_3c416c63f672 node_type=claim\nt=0010 CREATE_NODE id=n_7c6cc8c4f235 node_type=claim\nt=0011 CREATE_NODE id=n_f8df4cf84dff node_type=claim\nt=0012 CREATE_NODE id=n_8c531b9d2cc0 node_type=claim\nt=0013 CREATE_NODE id=n_0dd3f1791f83 node_type=claim\nt=0014 CREATE_NODE id=n_56f84fd32268 node_type=claim\nt=0015 CREATE_NODE id=n_845908671a70 node_type=claim\nt=0016 ASSERT_ROOT node=n_8c531b9d2cc0 value=FALSE\nt=0017 ADD_EDGE edge_id=e_415ac5b5d768 source=n_3c416c63f672 edge_type=refutes target=n_7180f299a686\nt=0018 ADD_EDGE edge_id=e_df44e161a973 source=n_3c416c63f672 edge_type=refutes target=n_209b2352b242\nt=0019 ADD_EDGE edge_id=e_b655b6d5f74b source=n_da15c4bdd24f edge_type=refutes target=n_f8df4cf84dff\nt=0020 ADD_EDGE edge_id=e_f8007c4308ca source=n_16ede7e5e583 edge_type=supports target=n_30f0c7551faf\nt=0021 ADD_EDGE edge_id=e_03f061457171 source=n_845908671a70 edge_type=refutes target=n_6ddc4d414880\nt=0022 ADD_EDGE edge_id=e_a993cc974101 source=n_c43d594313bb edge_type=refutes target=n_e5721e3f43d8\nt=0023 ADD_EDGE edge_id=e_f239f1bdbbd7 source=n_c43d594313bb edge_type=supports target=n_56f84fd32268\nt=0024 ADD_EDGE edge_id=e_41efc0837103 source=n_445270931f0b edge_type=supports target=n_7c6cc8c4f235\nt=0025 ADD_EDGE edge_id=e_e24bbd25f999 source=n_845908671a70 edge_type=supports target=n_16ede7e5e583\nt=0026 ADD_EDGE edge_id=e_f0ce7de9333e source=n_0dd3f1791f83 edge_type=supports target=n_c43d594313bb\nt=0027 ADD_EDGE edge_id=e_204ca3870e70 source=n_da15c4bdd24f edge_type=refutes target=n_3c416c63f672\nt=0028 ADD_EDGE edge_id=e_ad67c9e54b98 source=n_445270931f0b edge_type=refutes target=n_da15c4bdd24f\nt=0029 ADD_EDGE edge_id=e_1dbd3b42d93d source=n_0dd3f1791f83 edge_type=supports target=n_845908671a70\nt=0030 ADD_EDGE edge_id=e_271d2ec343a3 source=n_8c531b9d2cc0 edge_type=supports target=n_445270931f0b\nt=0031 QUERY source=n_8c531b9d2cc0 target=n_3c416c63f672\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1553,"provenance":{"base_record_id":"train-d03-019","dataset":"livegraph-deterministic-parity-v3","depth":3,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d03-019","split":"train","variant":"clean"},"record_seed":885282938705376931,"render_sha256":"21ee8e2c16cd14624386bfb51107787300407fd978c496e3c5f01e9d851910b8","representation":"linear_trace","semantic_sha256":"f364b77f04ace41668ef255fa296b952513b63af1c6f3222e69d3acc64f8d183"}
{"char_count":2921,"item_id":"train-d03-020::linear_trace","label":"TRUE","lexical_token_proxy_count":504,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_239a15864bc5 node_type=claim\nt=0001 CREATE_NODE id=n_4d448ef7477b node_type=claim\nt=0002 CREATE_NODE id=n_1f3ec2301c0b node_type=claim\nt=0003 CREATE_NODE id=n_38d24f233f66 node_type=claim\nt=0004 CREATE_NODE id=n_91a5bee1afaa node_type=claim\nt=0005 CREATE_NODE id=n_ef423b4a3ceb node_type=claim\nt=0006 CREATE_NODE id=n_b08001562bf6 node_type=claim\nt=0007 CREATE_NODE id=n_0c4c6054de77 node_type=claim\nt=0008 CREATE_NODE id=n_39c9af1b0b88 node_type=claim\nt=0009 CREATE_NODE id=n_c53276e7c090 node_type=claim\nt=0010 CREATE_NODE id=n_589a41615157 node_type=claim\nt=0011 CREATE_NODE id=n_b4ca906aa5bc node_type=claim\nt=0012 CREATE_NODE id=n_dc8c3a89a0ca node_type=claim\nt=0013 CREATE_NODE id=n_ae9bb8c7d680 node_type=claim\nt=0014 CREATE_NODE id=n_049c10ec4c1e node_type=claim\nt=0015 CREATE_NODE id=n_04deb2966022 node_type=claim\nt=0016 ASSERT_ROOT node=n_4d448ef7477b value=TRUE\nt=0017 ADD_EDGE edge_id=e_b5f0a7123fbb source=n_b4ca906aa5bc edge_type=refutes target=n_239a15864bc5\nt=0018 ADD_EDGE edge_id=e_df70819a20ea source=n_ef423b4a3ceb edge_type=refutes target=n_b4ca906aa5bc\nt=0019 ADD_EDGE edge_id=e_6b4b31e71a99 source=n_ef423b4a3ceb edge_type=supports target=n_1f3ec2301c0b\nt=0020 ADD_EDGE edge_id=e_ecf9f1bc5950 source=n_0c4c6054de77 edge_type=refutes target=n_dc8c3a89a0ca\nt=0021 ADD_EDGE edge_id=e_77adeea5e170 source=n_0c4c6054de77 edge_type=supports target=n_b08001562bf6\nt=0022 ADD_EDGE edge_id=e_42572df6982d source=n_91a5bee1afaa edge_type=refutes target=n_049c10ec4c1e\nt=0023 ADD_EDGE edge_id=e_8a8ca21e054f source=n_0c4c6054de77 edge_type=supports target=n_589a41615157\nt=0024 ADD_EDGE edge_id=e_938454fb136d source=n_4d448ef7477b edge_type=refutes target=n_38d24f233f66\nt=0025 ADD_EDGE edge_id=e_67f348d695d5 source=n_1f3ec2301c0b edge_type=supports target=n_39c9af1b0b88\nt=0026 ADD_EDGE edge_id=e_f3a1c1f60b6c source=n_4d448ef7477b edge_type=refutes target=n_0c4c6054de77\nt=0027 ADD_EDGE edge_id=e_c09dd0944e2a source=n_0c4c6054de77 edge_type=supports target=n_04deb2966022\nt=0028 ADD_EDGE edge_id=e_dd24a17f4eee source=n_ef423b4a3ceb edge_type=refutes target=n_91a5bee1afaa\nt=0029 ADD_EDGE edge_id=e_b1a36c0e8914 source=n_dc8c3a89a0ca edge_type=supports target=n_ae9bb8c7d680\nt=0030 ADD_EDGE edge_id=e_38dce6c58ea9 source=n_b4ca906aa5bc edge_type=supports target=n_c53276e7c090\nt=0031 QUERY source=n_4d448ef7477b target=n_ae9bb8c7d680\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1526,"provenance":{"base_record_id":"train-d03-020","dataset":"livegraph-deterministic-parity-v3","depth":3,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d03-020","split":"train","variant":"clean"},"record_seed":563127982646122931,"render_sha256":"08d84d4ef89999e2362104b6f3d70c923a6f1ef40888e5069d91b9db54005dff","representation":"linear_trace","semantic_sha256":"5058431973e138fbe826efd28dc3146bbd73de7846d50251660fb09fe4a01220"}
{"char_count":2921,"item_id":"train-d03-021::linear_trace","label":"FALSE","lexical_token_proxy_count":504,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_b009851b0af2 node_type=claim\nt=0001 CREATE_NODE id=n_725c47f7ea94 node_type=claim\nt=0002 CREATE_NODE id=n_42e53705b558 node_type=claim\nt=0003 CREATE_NODE id=n_061e272e6bd7 node_type=claim\nt=0004 CREATE_NODE id=n_31519e0c96bc node_type=claim\nt=0005 CREATE_NODE id=n_5d21545325fa node_type=claim\nt=0006 CREATE_NODE id=n_ac466b6f2e89 node_type=claim\nt=0007 CREATE_NODE id=n_f920ce78bc28 node_type=claim\nt=0008 CREATE_NODE id=n_f79b04666555 node_type=claim\nt=0009 CREATE_NODE id=n_b37792136e78 node_type=claim\nt=0010 CREATE_NODE id=n_cc54a7698fe3 node_type=claim\nt=0011 CREATE_NODE id=n_cd67fab8cd44 node_type=claim\nt=0012 CREATE_NODE id=n_99b024d6f0f9 node_type=claim\nt=0013 CREATE_NODE id=n_73a10c61670b node_type=claim\nt=0014 CREATE_NODE id=n_4e841a6adaf2 node_type=claim\nt=0015 CREATE_NODE id=n_700df429715a node_type=claim\nt=0016 ASSERT_ROOT node=n_99b024d6f0f9 value=TRUE\nt=0017 ADD_EDGE edge_id=e_f815fc6bf782 source=n_f920ce78bc28 edge_type=supports target=n_31519e0c96bc\nt=0018 ADD_EDGE edge_id=e_53d35f606751 source=n_cc54a7698fe3 edge_type=supports target=n_73a10c61670b\nt=0019 ADD_EDGE edge_id=e_994bfbfc518e source=n_f920ce78bc28 edge_type=supports target=n_725c47f7ea94\nt=0020 ADD_EDGE edge_id=e_ac0797c53e24 source=n_42e53705b558 edge_type=refutes target=n_700df429715a\nt=0021 ADD_EDGE edge_id=e_972a04539e30 source=n_b37792136e78 edge_type=refutes target=n_cd67fab8cd44\nt=0022 ADD_EDGE edge_id=e_e96b4dbe410b source=n_5d21545325fa edge_type=refutes target=n_061e272e6bd7\nt=0023 ADD_EDGE edge_id=e_b52abfba4676 source=n_99b024d6f0f9 edge_type=refutes target=n_b37792136e78\nt=0024 ADD_EDGE edge_id=e_891c0349709a source=n_b37792136e78 edge_type=supports target=n_4e841a6adaf2\nt=0025 ADD_EDGE edge_id=e_0babce4221a2 source=n_f920ce78bc28 edge_type=refutes target=n_42e53705b558\nt=0026 ADD_EDGE edge_id=e_274d8fbbb07f source=n_f920ce78bc28 edge_type=supports target=n_b009851b0af2\nt=0027 ADD_EDGE edge_id=e_71c7a0a53637 source=n_4e841a6adaf2 edge_type=supports target=n_5d21545325fa\nt=0028 ADD_EDGE edge_id=e_86124a0ce5c6 source=n_4e841a6adaf2 edge_type=refutes target=n_f79b04666555\nt=0029 ADD_EDGE edge_id=e_db64db1b6b37 source=n_f920ce78bc28 edge_type=supports target=n_cc54a7698fe3\nt=0030 ADD_EDGE edge_id=e_c4ccf7c1bc8b source=n_99b024d6f0f9 edge_type=refutes target=n_ac466b6f2e89\nt=0031 QUERY source=n_99b024d6f0f9 target=n_5d21545325fa\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1544,"provenance":{"base_record_id":"train-d03-021","dataset":"livegraph-deterministic-parity-v3","depth":3,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d03-021","split":"train","variant":"clean"},"record_seed":448814774423055806,"render_sha256":"818737ae13c38501ac45a9e2e89fe3ee3c1feb4be41d3f9361b97fae17c45397","representation":"linear_trace","semantic_sha256":"453ee2ca7540e76012219b2e6f479b4ca49350ed5f5d314f974a4c4d2bbd84c3"}
{"char_count":2922,"item_id":"train-d03-022::linear_trace","label":"TRUE","lexical_token_proxy_count":504,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_f6ccc7be7f67 node_type=claim\nt=0001 CREATE_NODE id=n_6b291fb03c0f node_type=claim\nt=0002 CREATE_NODE id=n_4d25cc5d7bd4 node_type=claim\nt=0003 CREATE_NODE id=n_788d50276195 node_type=claim\nt=0004 CREATE_NODE id=n_0f310e2c287e node_type=claim\nt=0005 CREATE_NODE id=n_60d0b9e64e1b node_type=claim\nt=0006 CREATE_NODE id=n_19f7fc1e96d5 node_type=claim\nt=0007 CREATE_NODE id=n_e6fc26a26d1a node_type=claim\nt=0008 CREATE_NODE id=n_a9b20376fd62 node_type=claim\nt=0009 CREATE_NODE id=n_d686da962929 node_type=claim\nt=0010 CREATE_NODE id=n_6665380556ce node_type=claim\nt=0011 CREATE_NODE id=n_ab80a0181418 node_type=claim\nt=0012 CREATE_NODE id=n_ea40d8942628 node_type=claim\nt=0013 CREATE_NODE id=n_9dde62d71d98 node_type=claim\nt=0014 CREATE_NODE id=n_3126d36599d0 node_type=claim\nt=0015 CREATE_NODE id=n_0810af78f4bb node_type=claim\nt=0016 ASSERT_ROOT node=n_60d0b9e64e1b value=FALSE\nt=0017 ADD_EDGE edge_id=e_5fb46d704e61 source=n_6665380556ce edge_type=refutes target=n_788d50276195\nt=0018 ADD_EDGE edge_id=e_42bd29c22f67 source=n_9dde62d71d98 edge_type=refutes target=n_19f7fc1e96d5\nt=0019 ADD_EDGE edge_id=e_eecd9a2b14ad source=n_d686da962929 edge_type=refutes target=n_0810af78f4bb\nt=0020 ADD_EDGE edge_id=e_b6687f867b2b source=n_6b291fb03c0f edge_type=supports target=n_4d25cc5d7bd4\nt=0021 ADD_EDGE edge_id=e_42cb0339e039 source=n_6b291fb03c0f edge_type=supports target=n_e6fc26a26d1a\nt=0022 ADD_EDGE edge_id=e_67db7e25825d source=n_60d0b9e64e1b edge_type=supports target=n_0f310e2c287e\nt=0023 ADD_EDGE edge_id=e_53f0f940db97 source=n_0f310e2c287e edge_type=supports target=n_f6ccc7be7f67\nt=0024 ADD_EDGE edge_id=e_00f916196963 source=n_6665380556ce edge_type=refutes target=n_3126d36599d0\nt=0025 ADD_EDGE edge_id=e_7ed2769f1bee source=n_e6fc26a26d1a edge_type=refutes target=n_d686da962929\nt=0026 ADD_EDGE edge_id=e_12622d4d26de source=n_9dde62d71d98 edge_type=refutes target=n_ea40d8942628\nt=0027 ADD_EDGE edge_id=e_a16ddce6aeb3 source=n_6b291fb03c0f edge_type=supports target=n_6665380556ce\nt=0028 ADD_EDGE edge_id=e_61fb1751aa88 source=n_f6ccc7be7f67 edge_type=refutes target=n_9dde62d71d98\nt=0029 ADD_EDGE edge_id=e_744b6615acf6 source=n_60d0b9e64e1b edge_type=supports target=n_ab80a0181418\nt=0030 ADD_EDGE edge_id=e_57b398afdbc7 source=n_9dde62d71d98 edge_type=supports target=n_a9b20376fd62\nt=0031 QUERY source=n_60d0b9e64e1b target=n_9dde62d71d98\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1540,"provenance":{"base_record_id":"train-d03-022","dataset":"livegraph-deterministic-parity-v3","depth":3,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d03-022","split":"train","variant":"clean"},"record_seed":1028787416279453526,"render_sha256":"e6b1e641dc89e5f38eed692e8e5ab7ab92926796a355cfd7cad7b889b27dc911","representation":"linear_trace","semantic_sha256":"30745a653fe94d34718390791843387f43a4b3ac867b5ca4d5202c1fca1e4f41"}
{"char_count":2922,"item_id":"train-d03-023::linear_trace","label":"FALSE","lexical_token_proxy_count":504,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_f2c19fc8664c node_type=claim\nt=0001 CREATE_NODE id=n_c1152ed014fa node_type=claim\nt=0002 CREATE_NODE id=n_65237a8262b4 node_type=claim\nt=0003 CREATE_NODE id=n_b8e5082c75ee node_type=claim\nt=0004 CREATE_NODE id=n_d21c048ab103 node_type=claim\nt=0005 CREATE_NODE id=n_94dea6d092ea node_type=claim\nt=0006 CREATE_NODE id=n_d6a8a926ceb5 node_type=claim\nt=0007 CREATE_NODE id=n_014c183df2bf node_type=claim\nt=0008 CREATE_NODE id=n_2732953775d0 node_type=claim\nt=0009 CREATE_NODE id=n_f6256e25e924 node_type=claim\nt=0010 CREATE_NODE id=n_4815e1ee5981 node_type=claim\nt=0011 CREATE_NODE id=n_0cbc771f7d66 node_type=claim\nt=0012 CREATE_NODE id=n_1af766d849f5 node_type=claim\nt=0013 CREATE_NODE id=n_2434d3c21fde node_type=claim\nt=0014 CREATE_NODE id=n_8bf3951b56da node_type=claim\nt=0015 CREATE_NODE id=n_a59b76edf243 node_type=claim\nt=0016 ASSERT_ROOT node=n_2732953775d0 value=FALSE\nt=0017 ADD_EDGE edge_id=e_98c8cc52a344 source=n_2732953775d0 edge_type=supports target=n_1af766d849f5\nt=0018 ADD_EDGE edge_id=e_3068db5cf3d1 source=n_0cbc771f7d66 edge_type=supports target=n_014c183df2bf\nt=0019 ADD_EDGE edge_id=e_e8b562bc2d55 source=n_2732953775d0 edge_type=refutes target=n_2434d3c21fde\nt=0020 ADD_EDGE edge_id=e_4f6a4f233dcd source=n_f2c19fc8664c edge_type=supports target=n_d6a8a926ceb5\nt=0021 ADD_EDGE edge_id=e_de2c32094aad source=n_65237a8262b4 edge_type=supports target=n_b8e5082c75ee\nt=0022 ADD_EDGE edge_id=e_986c2be16899 source=n_f2c19fc8664c edge_type=supports target=n_4815e1ee5981\nt=0023 ADD_EDGE edge_id=e_c979056a5899 source=n_b8e5082c75ee edge_type=refutes target=n_c1152ed014fa\nt=0024 ADD_EDGE edge_id=e_95e602202bc9 source=n_2732953775d0 edge_type=supports target=n_94dea6d092ea\nt=0025 ADD_EDGE edge_id=e_e206a9b66405 source=n_2434d3c21fde edge_type=refutes target=n_65237a8262b4\nt=0026 ADD_EDGE edge_id=e_d8d1163ce715 source=n_014c183df2bf edge_type=refutes target=n_a59b76edf243\nt=0027 ADD_EDGE edge_id=e_a6e2a517b6ad source=n_0cbc771f7d66 edge_type=supports target=n_f6256e25e924\nt=0028 ADD_EDGE edge_id=e_7e65b4b67392 source=n_0cbc771f7d66 edge_type=refutes target=n_8bf3951b56da\nt=0029 ADD_EDGE edge_id=e_0947c3bfd102 source=n_0cbc771f7d66 edge_type=refutes target=n_f2c19fc8664c\nt=0030 ADD_EDGE edge_id=e_d5eae5731254 source=n_2434d3c21fde edge_type=refutes target=n_d21c048ab103\nt=0031 QUERY source=n_2732953775d0 target=n_b8e5082c75ee\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1544,"provenance":{"base_record_id":"train-d03-023","dataset":"livegraph-deterministic-parity-v3","depth":3,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d03-023","split":"train","variant":"clean"},"record_seed":445546338385000132,"render_sha256":"15b92d20407ea16380c55285e24b8f2fdb0a12ef2e8d68ee38ef65811866343e","representation":"linear_trace","semantic_sha256":"64141830934667435f9c7b9c6c320e1c07b4fb39fce62716eb2beea8b36d1a2e"}
{"char_count":2921,"item_id":"train-d03-024::linear_trace","label":"TRUE","lexical_token_proxy_count":504,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_9be054ecd1d5 node_type=claim\nt=0001 CREATE_NODE id=n_4d3c0b0a5e8d node_type=claim\nt=0002 CREATE_NODE id=n_93192df8c690 node_type=claim\nt=0003 CREATE_NODE id=n_809beb37fa36 node_type=claim\nt=0004 CREATE_NODE id=n_df9cd22a32c8 node_type=claim\nt=0005 CREATE_NODE id=n_001eba7a6dae node_type=claim\nt=0006 CREATE_NODE id=n_cba70182370c node_type=claim\nt=0007 CREATE_NODE id=n_55dad51fe8d2 node_type=claim\nt=0008 CREATE_NODE id=n_1dd5a1a74287 node_type=claim\nt=0009 CREATE_NODE id=n_4b371b7c60b6 node_type=claim\nt=0010 CREATE_NODE id=n_f6eed8ee3659 node_type=claim\nt=0011 CREATE_NODE id=n_4c46509b70c4 node_type=claim\nt=0012 CREATE_NODE id=n_ec77b2888665 node_type=claim\nt=0013 CREATE_NODE id=n_925ed482970a node_type=claim\nt=0014 CREATE_NODE id=n_310cb45e4c0b node_type=claim\nt=0015 CREATE_NODE id=n_e2658e6d8047 node_type=claim\nt=0016 ASSERT_ROOT node=n_ec77b2888665 value=TRUE\nt=0017 ADD_EDGE edge_id=e_1ca900abe04b source=n_4c46509b70c4 edge_type=refutes target=n_e2658e6d8047\nt=0018 ADD_EDGE edge_id=e_ac87605232c0 source=n_4d3c0b0a5e8d edge_type=supports target=n_55dad51fe8d2\nt=0019 ADD_EDGE edge_id=e_8a030fcc4f26 source=n_4d3c0b0a5e8d edge_type=supports target=n_f6eed8ee3659\nt=0020 ADD_EDGE edge_id=e_1ef0ede5bd84 source=n_ec77b2888665 edge_type=refutes target=n_9be054ecd1d5\nt=0021 ADD_EDGE edge_id=e_81d53a5b1a5f source=n_f6eed8ee3659 edge_type=refutes target=n_93192df8c690\nt=0022 ADD_EDGE edge_id=e_eb7da0420bfe source=n_93192df8c690 edge_type=supports target=n_df9cd22a32c8\nt=0023 ADD_EDGE edge_id=e_8784a8fdb97d source=n_925ed482970a edge_type=supports target=n_cba70182370c\nt=0024 ADD_EDGE edge_id=e_002d909d4fd3 source=n_4b371b7c60b6 edge_type=supports target=n_809beb37fa36\nt=0025 ADD_EDGE edge_id=e_5072d1a7e2d2 source=n_93192df8c690 edge_type=refutes target=n_4b371b7c60b6\nt=0026 ADD_EDGE edge_id=e_560a3164b06c source=n_809beb37fa36 edge_type=supports target=n_1dd5a1a74287\nt=0027 ADD_EDGE edge_id=e_2a704505a82d source=n_310cb45e4c0b edge_type=supports target=n_925ed482970a\nt=0028 ADD_EDGE edge_id=e_d000993a80f8 source=n_ec77b2888665 edge_type=refutes target=n_4c46509b70c4\nt=0029 ADD_EDGE edge_id=e_0ef6bb99ac3e source=n_925ed482970a edge_type=refutes target=n_001eba7a6dae\nt=0030 ADD_EDGE edge_id=e_7d0b0fed4ac1 source=n_4c46509b70c4 edge_type=refutes target=n_310cb45e4c0b\nt=0031 QUERY source=n_ec77b2888665 target=n_925ed482970a\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1532,"provenance":{"base_record_id":"train-d03-024","dataset":"livegraph-deterministic-parity-v3","depth":3,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d03-024","split":"train","variant":"clean"},"record_seed":1061407607163595580,"render_sha256":"87e682110751c62f985f6a01ac622ae009b82e3b33afe6ff6a583d7d2f070ca0","representation":"linear_trace","semantic_sha256":"0e0c5dcd64b018788ae1a684c940eccb82b893cc24aead28432a0118550c9cc6"}
{"char_count":2921,"item_id":"train-d03-025::linear_trace","label":"FALSE","lexical_token_proxy_count":504,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_d8501065ef9f node_type=claim\nt=0001 CREATE_NODE id=n_d3b3d6fdfa00 node_type=claim\nt=0002 CREATE_NODE id=n_0beb658b2be3 node_type=claim\nt=0003 CREATE_NODE id=n_6a6a5955ba0e node_type=claim\nt=0004 CREATE_NODE id=n_7372b6d31efe node_type=claim\nt=0005 CREATE_NODE id=n_d5b66bb02d87 node_type=claim\nt=0006 CREATE_NODE id=n_8b5009cf6537 node_type=claim\nt=0007 CREATE_NODE id=n_4b2cebb1a1f8 node_type=claim\nt=0008 CREATE_NODE id=n_318b07e077eb node_type=claim\nt=0009 CREATE_NODE id=n_9c7fc4f8dfb5 node_type=claim\nt=0010 CREATE_NODE id=n_59d7c3ac2f9d node_type=claim\nt=0011 CREATE_NODE id=n_73fef3bba18d node_type=claim\nt=0012 CREATE_NODE id=n_6cd642e160bd node_type=claim\nt=0013 CREATE_NODE id=n_fc91c527eef2 node_type=claim\nt=0014 CREATE_NODE id=n_d5b2c3f44859 node_type=claim\nt=0015 CREATE_NODE id=n_50a41abb2c49 node_type=claim\nt=0016 ASSERT_ROOT node=n_73fef3bba18d value=TRUE\nt=0017 ADD_EDGE edge_id=e_e6036f176144 source=n_6cd642e160bd edge_type=refutes target=n_318b07e077eb\nt=0018 ADD_EDGE edge_id=e_e6adb0c5cb13 source=n_73fef3bba18d edge_type=refutes target=n_4b2cebb1a1f8\nt=0019 ADD_EDGE edge_id=e_c76f6841bc12 source=n_9c7fc4f8dfb5 edge_type=supports target=n_0beb658b2be3\nt=0020 ADD_EDGE edge_id=e_7ffc6b57b42a source=n_9c7fc4f8dfb5 edge_type=refutes target=n_7372b6d31efe\nt=0021 ADD_EDGE edge_id=e_3685b8b78139 source=n_6cd642e160bd edge_type=refutes target=n_d5b2c3f44859\nt=0022 ADD_EDGE edge_id=e_515b1e0360de source=n_73fef3bba18d edge_type=supports target=n_8b5009cf6537\nt=0023 ADD_EDGE edge_id=e_0bf7101fa1e3 source=n_73fef3bba18d edge_type=supports target=n_59d7c3ac2f9d\nt=0024 ADD_EDGE edge_id=e_79b9a2994cc3 source=n_4b2cebb1a1f8 edge_type=refutes target=n_6cd642e160bd\nt=0025 ADD_EDGE edge_id=e_03e5de6f417f source=n_fc91c527eef2 edge_type=supports target=n_50a41abb2c49\nt=0026 ADD_EDGE edge_id=e_a7a673c83f6c source=n_6a6a5955ba0e edge_type=refutes target=n_9c7fc4f8dfb5\nt=0027 ADD_EDGE edge_id=e_3b6af567b0d8 source=n_6a6a5955ba0e edge_type=supports target=n_fc91c527eef2\nt=0028 ADD_EDGE edge_id=e_3ebff2b9f336 source=n_6a6a5955ba0e edge_type=refutes target=n_d8501065ef9f\nt=0029 ADD_EDGE edge_id=e_e26ac471ff3f source=n_6cd642e160bd edge_type=supports target=n_d5b66bb02d87\nt=0030 ADD_EDGE edge_id=e_8673366e83a9 source=n_50a41abb2c49 edge_type=supports target=n_d3b3d6fdfa00\nt=0031 QUERY source=n_73fef3bba18d target=n_318b07e077eb\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1523,"provenance":{"base_record_id":"train-d03-025","dataset":"livegraph-deterministic-parity-v3","depth":3,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d03-025","split":"train","variant":"clean"},"record_seed":62090516658742149,"render_sha256":"9d5e21a4f4af8c11868e03c4d0acab2098a283a1aa96b7b9a0e7460baeb1ca87","representation":"linear_trace","semantic_sha256":"6c34b55cb6b0f0cd2a17fa8539d93fd4d5d72fbc60a0eff87e9acf443866f8bb"}
{"char_count":2922,"item_id":"train-d03-026::linear_trace","label":"TRUE","lexical_token_proxy_count":504,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_2ee768fc8ed2 node_type=claim\nt=0001 CREATE_NODE id=n_5e03374137b9 node_type=claim\nt=0002 CREATE_NODE id=n_9c22184b6a2e node_type=claim\nt=0003 CREATE_NODE id=n_4620200bb094 node_type=claim\nt=0004 CREATE_NODE id=n_cefb370b825a node_type=claim\nt=0005 CREATE_NODE id=n_affa9d3fafe9 node_type=claim\nt=0006 CREATE_NODE id=n_7f7c6ec9e315 node_type=claim\nt=0007 CREATE_NODE id=n_93fb470d45a0 node_type=claim\nt=0008 CREATE_NODE id=n_08192b415357 node_type=claim\nt=0009 CREATE_NODE id=n_db2d89ffe6af node_type=claim\nt=0010 CREATE_NODE id=n_d0bb38fdefb6 node_type=claim\nt=0011 CREATE_NODE id=n_3d1e495cbf07 node_type=claim\nt=0012 CREATE_NODE id=n_0bc85a969fa2 node_type=claim\nt=0013 CREATE_NODE id=n_477ee9814749 node_type=claim\nt=0014 CREATE_NODE id=n_539ab32cb252 node_type=claim\nt=0015 CREATE_NODE id=n_327956b87fdd node_type=claim\nt=0016 ASSERT_ROOT node=n_477ee9814749 value=FALSE\nt=0017 ADD_EDGE edge_id=e_1add0c953147 source=n_477ee9814749 edge_type=refutes target=n_db2d89ffe6af\nt=0018 ADD_EDGE edge_id=e_d55493a8a94d source=n_477ee9814749 edge_type=refutes target=n_d0bb38fdefb6\nt=0019 ADD_EDGE edge_id=e_fd09b7d16023 source=n_5e03374137b9 edge_type=supports target=n_2ee768fc8ed2\nt=0020 ADD_EDGE edge_id=e_2bc58f667c14 source=n_4620200bb094 edge_type=refutes target=n_0bc85a969fa2\nt=0021 ADD_EDGE edge_id=e_4f1651b49dde source=n_93fb470d45a0 edge_type=refutes target=n_08192b415357\nt=0022 ADD_EDGE edge_id=e_7a8712985e16 source=n_cefb370b825a edge_type=supports target=n_7f7c6ec9e315\nt=0023 ADD_EDGE edge_id=e_98b5475580c5 source=n_93fb470d45a0 edge_type=supports target=n_cefb370b825a\nt=0024 ADD_EDGE edge_id=e_66fadcb7d6b5 source=n_cefb370b825a edge_type=supports target=n_4620200bb094\nt=0025 ADD_EDGE edge_id=e_cfdcefee7d02 source=n_5e03374137b9 edge_type=supports target=n_3d1e495cbf07\nt=0026 ADD_EDGE edge_id=e_1425e478b99e source=n_477ee9814749 edge_type=refutes target=n_327956b87fdd\nt=0027 ADD_EDGE edge_id=e_95e64d22c944 source=n_93fb470d45a0 edge_type=refutes target=n_affa9d3fafe9\nt=0028 ADD_EDGE edge_id=e_3b1527b12363 source=n_327956b87fdd edge_type=supports target=n_5e03374137b9\nt=0029 ADD_EDGE edge_id=e_6196944bd2be source=n_7f7c6ec9e315 edge_type=supports target=n_9c22184b6a2e\nt=0030 ADD_EDGE edge_id=e_25b6cd9343a5 source=n_3d1e495cbf07 edge_type=refutes target=n_539ab32cb252\nt=0031 QUERY source=n_477ee9814749 target=n_3d1e495cbf07\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1528,"provenance":{"base_record_id":"train-d03-026","dataset":"livegraph-deterministic-parity-v3","depth":3,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d03-026","split":"train","variant":"clean"},"record_seed":901195390200928228,"render_sha256":"c8609a4cff6879e5c070d04642b439087ca3920ad0e40b534c13eb3fa8226421","representation":"linear_trace","semantic_sha256":"c605db5379608362e7086135eea8a53a2fce578e1fd1b186c7327dcd893815d7"}
{"char_count":2922,"item_id":"train-d03-027::linear_trace","label":"FALSE","lexical_token_proxy_count":504,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_c3646d451504 node_type=claim\nt=0001 CREATE_NODE id=n_3cc5ef78ae41 node_type=claim\nt=0002 CREATE_NODE id=n_7db22004208e node_type=claim\nt=0003 CREATE_NODE id=n_fee1c032544a node_type=claim\nt=0004 CREATE_NODE id=n_501b21fc1577 node_type=claim\nt=0005 CREATE_NODE id=n_2b7f62cd5949 node_type=claim\nt=0006 CREATE_NODE id=n_c2b19c981468 node_type=claim\nt=0007 CREATE_NODE id=n_fdcca79113a0 node_type=claim\nt=0008 CREATE_NODE id=n_596e29d86c4e node_type=claim\nt=0009 CREATE_NODE id=n_d50487fcedf0 node_type=claim\nt=0010 CREATE_NODE id=n_e3fc095457ac node_type=claim\nt=0011 CREATE_NODE id=n_a86cfbffdaa1 node_type=claim\nt=0012 CREATE_NODE id=n_f198ce33ee10 node_type=claim\nt=0013 CREATE_NODE id=n_41e9d23e4238 node_type=claim\nt=0014 CREATE_NODE id=n_7798883d0869 node_type=claim\nt=0015 CREATE_NODE id=n_e0609c575ca7 node_type=claim\nt=0016 ASSERT_ROOT node=n_2b7f62cd5949 value=FALSE\nt=0017 ADD_EDGE edge_id=e_2a01345b8a63 source=n_596e29d86c4e edge_type=refutes target=n_e0609c575ca7\nt=0018 ADD_EDGE edge_id=e_b86d1a574d47 source=n_e0609c575ca7 edge_type=refutes target=n_c2b19c981468\nt=0019 ADD_EDGE edge_id=e_bf5a6dba8de9 source=n_fee1c032544a edge_type=refutes target=n_7db22004208e\nt=0020 ADD_EDGE edge_id=e_e0522941c21c source=n_3cc5ef78ae41 edge_type=supports target=n_e3fc095457ac\nt=0021 ADD_EDGE edge_id=e_91adda7c54a8 source=n_a86cfbffdaa1 edge_type=supports target=n_fdcca79113a0\nt=0022 ADD_EDGE edge_id=e_11c4ce9625ed source=n_a86cfbffdaa1 edge_type=refutes target=n_501b21fc1577\nt=0023 ADD_EDGE edge_id=e_c9f036a2b363 source=n_e0609c575ca7 edge_type=refutes target=n_a86cfbffdaa1\nt=0024 ADD_EDGE edge_id=e_3e77661be972 source=n_7798883d0869 edge_type=refutes target=n_f198ce33ee10\nt=0025 ADD_EDGE edge_id=e_b0584b4d245b source=n_fee1c032544a edge_type=supports target=n_3cc5ef78ae41\nt=0026 ADD_EDGE edge_id=e_b98a4681fca0 source=n_7798883d0869 edge_type=supports target=n_c3646d451504\nt=0027 ADD_EDGE edge_id=e_6ab5146e0b4f source=n_fee1c032544a edge_type=supports target=n_7798883d0869\nt=0028 ADD_EDGE edge_id=e_5346b60b1fb2 source=n_a86cfbffdaa1 edge_type=supports target=n_d50487fcedf0\nt=0029 ADD_EDGE edge_id=e_d5d9f210f174 source=n_2b7f62cd5949 edge_type=supports target=n_596e29d86c4e\nt=0030 ADD_EDGE edge_id=e_2fe64ebaf3ca source=n_fee1c032544a edge_type=refutes target=n_41e9d23e4238\nt=0031 QUERY source=n_2b7f62cd5949 target=n_a86cfbffdaa1\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1517,"provenance":{"base_record_id":"train-d03-027","dataset":"livegraph-deterministic-parity-v3","depth":3,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d03-027","split":"train","variant":"clean"},"record_seed":396577495476112286,"render_sha256":"8f3c3e7e5825f1e473b5fda19582727b9a9a6e59fa99714951027e08c949df14","representation":"linear_trace","semantic_sha256":"e089efa346826663755d392ada230b1141ca38daa9a51d5bb7770333eb72944b"}
{"char_count":2921,"item_id":"train-d03-028::linear_trace","label":"TRUE","lexical_token_proxy_count":504,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_5befaa176216 node_type=claim\nt=0001 CREATE_NODE id=n_694d950717c3 node_type=claim\nt=0002 CREATE_NODE id=n_4a468756260e node_type=claim\nt=0003 CREATE_NODE id=n_1b9ab2a4f5f8 node_type=claim\nt=0004 CREATE_NODE id=n_82057ca909e7 node_type=claim\nt=0005 CREATE_NODE id=n_4b766e52e955 node_type=claim\nt=0006 CREATE_NODE id=n_d4c49e20c04f node_type=claim\nt=0007 CREATE_NODE id=n_fd1cd4269b32 node_type=claim\nt=0008 CREATE_NODE id=n_43cd40a29fea node_type=claim\nt=0009 CREATE_NODE id=n_32abac25e8db node_type=claim\nt=0010 CREATE_NODE id=n_0454dd56b180 node_type=claim\nt=0011 CREATE_NODE id=n_fe1d694fa9aa node_type=claim\nt=0012 CREATE_NODE id=n_f4467be58bfc node_type=claim\nt=0013 CREATE_NODE id=n_01d06eebb0a0 node_type=claim\nt=0014 CREATE_NODE id=n_5727a0e6b69c node_type=claim\nt=0015 CREATE_NODE id=n_2dd7822eacfe node_type=claim\nt=0016 ASSERT_ROOT node=n_1b9ab2a4f5f8 value=TRUE\nt=0017 ADD_EDGE edge_id=e_53cbd165dc7a source=n_5727a0e6b69c edge_type=supports target=n_43cd40a29fea\nt=0018 ADD_EDGE edge_id=e_dbe75758e21d source=n_32abac25e8db edge_type=supports target=n_01d06eebb0a0\nt=0019 ADD_EDGE edge_id=e_55f3488ec0b5 source=n_2dd7822eacfe edge_type=refutes target=n_4b766e52e955\nt=0020 ADD_EDGE edge_id=e_0389c4378747 source=n_32abac25e8db edge_type=refutes target=n_5727a0e6b69c\nt=0021 ADD_EDGE edge_id=e_eff04cb866c8 source=n_2dd7822eacfe edge_type=refutes target=n_32abac25e8db\nt=0022 ADD_EDGE edge_id=e_8aac69d92fff source=n_1b9ab2a4f5f8 edge_type=supports target=n_82057ca909e7\nt=0023 ADD_EDGE edge_id=e_8551c295f6ee source=n_1b9ab2a4f5f8 edge_type=supports target=n_5befaa176216\nt=0024 ADD_EDGE edge_id=e_ef435245b28c source=n_fe1d694fa9aa edge_type=refutes target=n_694d950717c3\nt=0025 ADD_EDGE edge_id=e_4c818993e43a source=n_fe1d694fa9aa edge_type=supports target=n_0454dd56b180\nt=0026 ADD_EDGE edge_id=e_4ec51758d4c5 source=n_fe1d694fa9aa edge_type=refutes target=n_d4c49e20c04f\nt=0027 ADD_EDGE edge_id=e_6e728be93f3c source=n_694d950717c3 edge_type=supports target=n_fd1cd4269b32\nt=0028 ADD_EDGE edge_id=e_a6584a039132 source=n_43cd40a29fea edge_type=refutes target=n_f4467be58bfc\nt=0029 ADD_EDGE edge_id=e_c7b26b624e02 source=n_01d06eebb0a0 edge_type=supports target=n_4a468756260e\nt=0030 ADD_EDGE edge_id=e_23d6136422d7 source=n_1b9ab2a4f5f8 edge_type=refutes target=n_fe1d694fa9aa\nt=0031 QUERY source=n_1b9ab2a4f5f8 target=n_fd1cd4269b32\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1518,"provenance":{"base_record_id":"train-d03-028","dataset":"livegraph-deterministic-parity-v3","depth":3,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d03-028","split":"train","variant":"clean"},"record_seed":691589833179550182,"render_sha256":"1f29eca7640111e24e2a7977f8b59072cac12d2133dc733622fbd28dbfb0a2f1","representation":"linear_trace","semantic_sha256":"f848feb865df499871bdb71169a50dd2aa29ed8fed63afef016e9a2853d17382"}
{"char_count":2921,"item_id":"train-d03-029::linear_trace","label":"FALSE","lexical_token_proxy_count":504,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_8c9a1505dfa9 node_type=claim\nt=0001 CREATE_NODE id=n_2ad3f3212461 node_type=claim\nt=0002 CREATE_NODE id=n_2a0ded61a73b node_type=claim\nt=0003 CREATE_NODE id=n_fe7dd7b83f07 node_type=claim\nt=0004 CREATE_NODE id=n_ba2b814d617c node_type=claim\nt=0005 CREATE_NODE id=n_a521ed40f986 node_type=claim\nt=0006 CREATE_NODE id=n_f38bb63eddb9 node_type=claim\nt=0007 CREATE_NODE id=n_3108539ec78d node_type=claim\nt=0008 CREATE_NODE id=n_15705cffa66d node_type=claim\nt=0009 CREATE_NODE id=n_63f7cb7c9297 node_type=claim\nt=0010 CREATE_NODE id=n_cc0016828204 node_type=claim\nt=0011 CREATE_NODE id=n_235d19d3d3c0 node_type=claim\nt=0012 CREATE_NODE id=n_bf1f53fad0de node_type=claim\nt=0013 CREATE_NODE id=n_768d7c3dcf71 node_type=claim\nt=0014 CREATE_NODE id=n_8f92c712c51b node_type=claim\nt=0015 CREATE_NODE id=n_abf25fa24d1e node_type=claim\nt=0016 ASSERT_ROOT node=n_8c9a1505dfa9 value=TRUE\nt=0017 ADD_EDGE edge_id=e_6e24dda9a93d source=n_f38bb63eddb9 edge_type=supports target=n_2ad3f3212461\nt=0018 ADD_EDGE edge_id=e_841c1e51b102 source=n_fe7dd7b83f07 edge_type=refutes target=n_f38bb63eddb9\nt=0019 ADD_EDGE edge_id=e_bbb813078074 source=n_768d7c3dcf71 edge_type=refutes target=n_8f92c712c51b\nt=0020 ADD_EDGE edge_id=e_7010b82035da source=n_2ad3f3212461 edge_type=supports target=n_abf25fa24d1e\nt=0021 ADD_EDGE edge_id=e_d4b74b371d9b source=n_a521ed40f986 edge_type=supports target=n_bf1f53fad0de\nt=0022 ADD_EDGE edge_id=e_665eb94313f8 source=n_768d7c3dcf71 edge_type=supports target=n_3108539ec78d\nt=0023 ADD_EDGE edge_id=e_6c6038816a74 source=n_fe7dd7b83f07 edge_type=refutes target=n_63f7cb7c9297\nt=0024 ADD_EDGE edge_id=e_a9ea113b332e source=n_ba2b814d617c edge_type=refutes target=n_15705cffa66d\nt=0025 ADD_EDGE edge_id=e_d5f021379781 source=n_8c9a1505dfa9 edge_type=supports target=n_768d7c3dcf71\nt=0026 ADD_EDGE edge_id=e_f43286622413 source=n_768d7c3dcf71 edge_type=refutes target=n_235d19d3d3c0\nt=0027 ADD_EDGE edge_id=e_4382054e1af7 source=n_a521ed40f986 edge_type=refutes target=n_fe7dd7b83f07\nt=0028 ADD_EDGE edge_id=e_6a567ab6c1f2 source=n_768d7c3dcf71 edge_type=supports target=n_ba2b814d617c\nt=0029 ADD_EDGE edge_id=e_db3e0ea2b1c2 source=n_ba2b814d617c edge_type=supports target=n_cc0016828204\nt=0030 ADD_EDGE edge_id=e_809a8b36b393 source=n_2ad3f3212461 edge_type=refutes target=n_2a0ded61a73b\nt=0031 QUERY source=n_8c9a1505dfa9 target=n_15705cffa66d\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1536,"provenance":{"base_record_id":"train-d03-029","dataset":"livegraph-deterministic-parity-v3","depth":3,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d03-029","split":"train","variant":"clean"},"record_seed":583892572447918713,"render_sha256":"3d591d6aa51a9ecf29e7015c5acaedfc74b31cb468a7ca220432ebe8899d28ee","representation":"linear_trace","semantic_sha256":"3b7da2f865ed3786091136da45d0c1390777037bb3431779ed79ab1489ec0558"}
{"char_count":2922,"item_id":"train-d03-030::linear_trace","label":"TRUE","lexical_token_proxy_count":504,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_0c874d1f632d node_type=claim\nt=0001 CREATE_NODE id=n_e12aaabeb538 node_type=claim\nt=0002 CREATE_NODE id=n_fdf4aaea7a19 node_type=claim\nt=0003 CREATE_NODE id=n_8df6503eb4c1 node_type=claim\nt=0004 CREATE_NODE id=n_78dc7e5ed264 node_type=claim\nt=0005 CREATE_NODE id=n_b59fbb3b918f node_type=claim\nt=0006 CREATE_NODE id=n_121acc7739de node_type=claim\nt=0007 CREATE_NODE id=n_ab4735df096d node_type=claim\nt=0008 CREATE_NODE id=n_c7e208b00497 node_type=claim\nt=0009 CREATE_NODE id=n_1030949fdf36 node_type=claim\nt=0010 CREATE_NODE id=n_07b727519890 node_type=claim\nt=0011 CREATE_NODE id=n_0f570152cf2e node_type=claim\nt=0012 CREATE_NODE id=n_2e5ab4805176 node_type=claim\nt=0013 CREATE_NODE id=n_d0333544f755 node_type=claim\nt=0014 CREATE_NODE id=n_17045123fc38 node_type=claim\nt=0015 CREATE_NODE id=n_820e42ecc3fa node_type=claim\nt=0016 ASSERT_ROOT node=n_0f570152cf2e value=FALSE\nt=0017 ADD_EDGE edge_id=e_0946cf592eda source=n_1030949fdf36 edge_type=refutes target=n_820e42ecc3fa\nt=0018 ADD_EDGE edge_id=e_b4eb5e82d152 source=n_820e42ecc3fa edge_type=supports target=n_fdf4aaea7a19\nt=0019 ADD_EDGE edge_id=e_daf1a2876050 source=n_e12aaabeb538 edge_type=supports target=n_1030949fdf36\nt=0020 ADD_EDGE edge_id=e_b6bd090d3c2e source=n_e12aaabeb538 edge_type=refutes target=n_121acc7739de\nt=0021 ADD_EDGE edge_id=e_d51dcdf5c3dc source=n_0f570152cf2e edge_type=supports target=n_e12aaabeb538\nt=0022 ADD_EDGE edge_id=e_32b0b3959590 source=n_0f570152cf2e edge_type=supports target=n_0c874d1f632d\nt=0023 ADD_EDGE edge_id=e_de9e0fc80bb8 source=n_78dc7e5ed264 edge_type=supports target=n_ab4735df096d\nt=0024 ADD_EDGE edge_id=e_c969a4e4af0c source=n_820e42ecc3fa edge_type=refutes target=n_17045123fc38\nt=0025 ADD_EDGE edge_id=e_111b2f5a8915 source=n_8df6503eb4c1 edge_type=supports target=n_2e5ab4805176\nt=0026 ADD_EDGE edge_id=e_929ac1a47e95 source=n_d0333544f755 edge_type=supports target=n_07b727519890\nt=0027 ADD_EDGE edge_id=e_9e246bfc9457 source=n_ab4735df096d edge_type=refutes target=n_b59fbb3b918f\nt=0028 ADD_EDGE edge_id=e_136783328c8d source=n_78dc7e5ed264 edge_type=refutes target=n_8df6503eb4c1\nt=0029 ADD_EDGE edge_id=e_3767c8d99942 source=n_ab4735df096d edge_type=refutes target=n_d0333544f755\nt=0030 ADD_EDGE edge_id=e_55f707361323 source=n_b59fbb3b918f edge_type=refutes target=n_c7e208b00497\nt=0031 QUERY source=n_0f570152cf2e target=n_820e42ecc3fa\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1522,"provenance":{"base_record_id":"train-d03-030","dataset":"livegraph-deterministic-parity-v3","depth":3,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d03-030","split":"train","variant":"clean"},"record_seed":757256161742232361,"render_sha256":"e467c2f39ade061bff3d4f7e606803d4ce41f9f5f36241a77f8d4d0b0a18b6dc","representation":"linear_trace","semantic_sha256":"8481dfc5a97389862f5bbeb0a3be3cb6d371fa0ceebd0fd16ae1e220a220824c"}
{"char_count":2922,"item_id":"train-d03-031::linear_trace","label":"FALSE","lexical_token_proxy_count":504,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_7e7fb0a7b4a9 node_type=claim\nt=0001 CREATE_NODE id=n_9d73f4c8c205 node_type=claim\nt=0002 CREATE_NODE id=n_a4e0f0a15516 node_type=claim\nt=0003 CREATE_NODE id=n_c5b42cde3311 node_type=claim\nt=0004 CREATE_NODE id=n_b98d4fff238b node_type=claim\nt=0005 CREATE_NODE id=n_998b055235dc node_type=claim\nt=0006 CREATE_NODE id=n_b41573241b34 node_type=claim\nt=0007 CREATE_NODE id=n_8fcb2d17d664 node_type=claim\nt=0008 CREATE_NODE id=n_a6b6da3de057 node_type=claim\nt=0009 CREATE_NODE id=n_74f37ff5a463 node_type=claim\nt=0010 CREATE_NODE id=n_c4c1bf2e070c node_type=claim\nt=0011 CREATE_NODE id=n_c5f82d9cea8d node_type=claim\nt=0012 CREATE_NODE id=n_ab11f24c39cd node_type=claim\nt=0013 CREATE_NODE id=n_ca956f7da808 node_type=claim\nt=0014 CREATE_NODE id=n_bac8c566450f node_type=claim\nt=0015 CREATE_NODE id=n_6768c8cafca7 node_type=claim\nt=0016 ASSERT_ROOT node=n_ca956f7da808 value=FALSE\nt=0017 ADD_EDGE edge_id=e_6e67defd0de6 source=n_9d73f4c8c205 edge_type=supports target=n_b98d4fff238b\nt=0018 ADD_EDGE edge_id=e_1272998d625a source=n_9d73f4c8c205 edge_type=supports target=n_c5f82d9cea8d\nt=0019 ADD_EDGE edge_id=e_98f02ff9e01e source=n_7e7fb0a7b4a9 edge_type=supports target=n_6768c8cafca7\nt=0020 ADD_EDGE edge_id=e_310863796f55 source=n_ab11f24c39cd edge_type=refutes target=n_bac8c566450f\nt=0021 ADD_EDGE edge_id=e_44b462235c3e source=n_ca956f7da808 edge_type=refutes target=n_9d73f4c8c205\nt=0022 ADD_EDGE edge_id=e_830977427cd0 source=n_bac8c566450f edge_type=supports target=n_8fcb2d17d664\nt=0023 ADD_EDGE edge_id=e_e78331048727 source=n_998b055235dc edge_type=refutes target=n_ab11f24c39cd\nt=0024 ADD_EDGE edge_id=e_3b630b241e99 source=n_7e7fb0a7b4a9 edge_type=supports target=n_a6b6da3de057\nt=0025 ADD_EDGE edge_id=e_614059619639 source=n_9d73f4c8c205 edge_type=refutes target=n_74f37ff5a463\nt=0026 ADD_EDGE edge_id=e_0e4498aae301 source=n_c4c1bf2e070c edge_type=refutes target=n_998b055235dc\nt=0027 ADD_EDGE edge_id=e_182cf1794e46 source=n_c4c1bf2e070c edge_type=supports target=n_c5b42cde3311\nt=0028 ADD_EDGE edge_id=e_32739b9f0b5b source=n_9d73f4c8c205 edge_type=refutes target=n_7e7fb0a7b4a9\nt=0029 ADD_EDGE edge_id=e_82be8ffa1a04 source=n_c5b42cde3311 edge_type=supports target=n_b41573241b34\nt=0030 ADD_EDGE edge_id=e_e59c1c604fa3 source=n_998b055235dc edge_type=refutes target=n_a4e0f0a15516\nt=0031 QUERY source=n_ca956f7da808 target=n_6768c8cafca7\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1543,"provenance":{"base_record_id":"train-d03-031","dataset":"livegraph-deterministic-parity-v3","depth":3,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d03-031","split":"train","variant":"clean"},"record_seed":561395601405071289,"render_sha256":"aca8d5e8671aac4a5647076e7225e7d3d48dccd78338064376b265c2ad42704b","representation":"linear_trace","semantic_sha256":"a57d696f87e7ef3fc778b155cd4c88c465d938f3d23a4c609271378908ab05bc"}
{"char_count":2921,"item_id":"train-d03-032::linear_trace","label":"TRUE","lexical_token_proxy_count":504,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_fe169e08c612 node_type=claim\nt=0001 CREATE_NODE id=n_9d998135a64f node_type=claim\nt=0002 CREATE_NODE id=n_ebaf54bcb1f9 node_type=claim\nt=0003 CREATE_NODE id=n_b05775bbf182 node_type=claim\nt=0004 CREATE_NODE id=n_6c8aead1b6b1 node_type=claim\nt=0005 CREATE_NODE id=n_b5c54ff5733e node_type=claim\nt=0006 CREATE_NODE id=n_c4ec292f7dc3 node_type=claim\nt=0007 CREATE_NODE id=n_83263c047115 node_type=claim\nt=0008 CREATE_NODE id=n_4ce84596844f node_type=claim\nt=0009 CREATE_NODE id=n_5114b582cc2c node_type=claim\nt=0010 CREATE_NODE id=n_a8716dc16674 node_type=claim\nt=0011 CREATE_NODE id=n_28c236020075 node_type=claim\nt=0012 CREATE_NODE id=n_0355af03cdbf node_type=claim\nt=0013 CREATE_NODE id=n_e686db7c051a node_type=claim\nt=0014 CREATE_NODE id=n_e4ed70a19d25 node_type=claim\nt=0015 CREATE_NODE id=n_4b635e41c12a node_type=claim\nt=0016 ASSERT_ROOT node=n_e4ed70a19d25 value=TRUE\nt=0017 ADD_EDGE edge_id=e_e47fc4fbab2b source=n_b5c54ff5733e edge_type=refutes target=n_0355af03cdbf\nt=0018 ADD_EDGE edge_id=e_762673393036 source=n_28c236020075 edge_type=supports target=n_e686db7c051a\nt=0019 ADD_EDGE edge_id=e_458f6df7a220 source=n_83263c047115 edge_type=refutes target=n_4ce84596844f\nt=0020 ADD_EDGE edge_id=e_780f5fe584dd source=n_e686db7c051a edge_type=supports target=n_c4ec292f7dc3\nt=0021 ADD_EDGE edge_id=e_24808341c682 source=n_83263c047115 edge_type=supports target=n_fe169e08c612\nt=0022 ADD_EDGE edge_id=e_66945955ec61 source=n_83263c047115 edge_type=supports target=n_28c236020075\nt=0023 ADD_EDGE edge_id=e_44ffbfb4ac62 source=n_ebaf54bcb1f9 edge_type=supports target=n_b5c54ff5733e\nt=0024 ADD_EDGE edge_id=e_192c43c32466 source=n_ebaf54bcb1f9 edge_type=refutes target=n_9d998135a64f\nt=0025 ADD_EDGE edge_id=e_d9d9ed9bb344 source=n_b5c54ff5733e edge_type=refutes target=n_a8716dc16674\nt=0026 ADD_EDGE edge_id=e_cbf66af328fe source=n_83263c047115 edge_type=refutes target=n_4b635e41c12a\nt=0027 ADD_EDGE edge_id=e_ac91631ef5c8 source=n_e4ed70a19d25 edge_type=supports target=n_83263c047115\nt=0028 ADD_EDGE edge_id=e_159d1fb04336 source=n_0355af03cdbf edge_type=supports target=n_b05775bbf182\nt=0029 ADD_EDGE edge_id=e_e1561e821017 source=n_b05775bbf182 edge_type=refutes target=n_5114b582cc2c\nt=0030 ADD_EDGE edge_id=e_462f8f9ce229 source=n_0355af03cdbf edge_type=refutes target=n_6c8aead1b6b1\nt=0031 QUERY source=n_e4ed70a19d25 target=n_e686db7c051a\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1539,"provenance":{"base_record_id":"train-d03-032","dataset":"livegraph-deterministic-parity-v3","depth":3,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d03-032","split":"train","variant":"clean"},"record_seed":217333451696687743,"render_sha256":"b469f8fb14aba869a9fb41718a3445f27286f2e095e232af227e2b000a196357","representation":"linear_trace","semantic_sha256":"a91c179ea58945028717c59b4c777fff28d0acce547dea16b8b88dc8a528718e"}
{"char_count":2921,"item_id":"train-d03-033::linear_trace","label":"FALSE","lexical_token_proxy_count":504,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_701f37e9e250 node_type=claim\nt=0001 CREATE_NODE id=n_c351636c11f7 node_type=claim\nt=0002 CREATE_NODE id=n_8e882d9d38a3 node_type=claim\nt=0003 CREATE_NODE id=n_8d47bda1cf96 node_type=claim\nt=0004 CREATE_NODE id=n_b34dd825d47a node_type=claim\nt=0005 CREATE_NODE id=n_e03d6f656a4f node_type=claim\nt=0006 CREATE_NODE id=n_765e5788cdc5 node_type=claim\nt=0007 CREATE_NODE id=n_91bf6dce977f node_type=claim\nt=0008 CREATE_NODE id=n_4e46e1baa902 node_type=claim\nt=0009 CREATE_NODE id=n_70da3a8eb7ea node_type=claim\nt=0010 CREATE_NODE id=n_96f614f14998 node_type=claim\nt=0011 CREATE_NODE id=n_850a20b4c9e3 node_type=claim\nt=0012 CREATE_NODE id=n_630dd89feaf7 node_type=claim\nt=0013 CREATE_NODE id=n_fd739eee1b2b node_type=claim\nt=0014 CREATE_NODE id=n_9d6322215fb5 node_type=claim\nt=0015 CREATE_NODE id=n_7dd0fe2d1a3c node_type=claim\nt=0016 ASSERT_ROOT node=n_8d47bda1cf96 value=TRUE\nt=0017 ADD_EDGE edge_id=e_40eb96b490e4 source=n_9d6322215fb5 edge_type=refutes target=n_b34dd825d47a\nt=0018 ADD_EDGE edge_id=e_0980b6a9b370 source=n_4e46e1baa902 edge_type=supports target=n_630dd89feaf7\nt=0019 ADD_EDGE edge_id=e_0a38aec1ba5c source=n_630dd89feaf7 edge_type=refutes target=n_701f37e9e250\nt=0020 ADD_EDGE edge_id=e_6225d6a3138b source=n_fd739eee1b2b edge_type=refutes target=n_96f614f14998\nt=0021 ADD_EDGE edge_id=e_3b861589bb64 source=n_4e46e1baa902 edge_type=supports target=n_7dd0fe2d1a3c\nt=0022 ADD_EDGE edge_id=e_d77bb95c5a4d source=n_8d47bda1cf96 edge_type=refutes target=n_765e5788cdc5\nt=0023 ADD_EDGE edge_id=e_d1f4342123d3 source=n_fd739eee1b2b edge_type=supports target=n_9d6322215fb5\nt=0024 ADD_EDGE edge_id=e_db6caee5fb1c source=n_96f614f14998 edge_type=supports target=n_c351636c11f7\nt=0025 ADD_EDGE edge_id=e_e0b8afef621d source=n_701f37e9e250 edge_type=supports target=n_850a20b4c9e3\nt=0026 ADD_EDGE edge_id=e_c2a92ff9fa24 source=n_70da3a8eb7ea edge_type=refutes target=n_fd739eee1b2b\nt=0027 ADD_EDGE edge_id=e_93a11eb9cc08 source=n_fd739eee1b2b edge_type=refutes target=n_e03d6f656a4f\nt=0028 ADD_EDGE edge_id=e_106ed33c58a2 source=n_70da3a8eb7ea edge_type=refutes target=n_91bf6dce977f\nt=0029 ADD_EDGE edge_id=e_712a2d23b4f8 source=n_8d47bda1cf96 edge_type=supports target=n_4e46e1baa902\nt=0030 ADD_EDGE edge_id=e_931383e11abe source=n_4e46e1baa902 edge_type=supports target=n_8e882d9d38a3\nt=0031 QUERY source=n_8d47bda1cf96 target=n_701f37e9e250\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1524,"provenance":{"base_record_id":"train-d03-033","dataset":"livegraph-deterministic-parity-v3","depth":3,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d03-033","split":"train","variant":"clean"},"record_seed":10062127980984474,"render_sha256":"de90376127e28c5e8412c9b28f991235f51862361baa31b374bbdd17f1dacf53","representation":"linear_trace","semantic_sha256":"85dc38edd9b067f962cf53fb9f87bad59cd89d2df56cbc1380c0a85fa25be49b"}
{"char_count":2922,"item_id":"train-d03-034::linear_trace","label":"TRUE","lexical_token_proxy_count":504,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_bc6af5cf7356 node_type=claim\nt=0001 CREATE_NODE id=n_5c9b1e070ba9 node_type=claim\nt=0002 CREATE_NODE id=n_fcfc7c522617 node_type=claim\nt=0003 CREATE_NODE id=n_e564b20d362b node_type=claim\nt=0004 CREATE_NODE id=n_7063954f766f node_type=claim\nt=0005 CREATE_NODE id=n_bab28df565cb node_type=claim\nt=0006 CREATE_NODE id=n_b7c3a5a6cc74 node_type=claim\nt=0007 CREATE_NODE id=n_e34f579cc7b1 node_type=claim\nt=0008 CREATE_NODE id=n_6a3da74d6ff2 node_type=claim\nt=0009 CREATE_NODE id=n_1f0d620e7cb8 node_type=claim\nt=0010 CREATE_NODE id=n_08bd477a606a node_type=claim\nt=0011 CREATE_NODE id=n_dc4b20b616a0 node_type=claim\nt=0012 CREATE_NODE id=n_8465274b1228 node_type=claim\nt=0013 CREATE_NODE id=n_cd15fa0c1e4f node_type=claim\nt=0014 CREATE_NODE id=n_435e89aee5d1 node_type=claim\nt=0015 CREATE_NODE id=n_809a04e35ee9 node_type=claim\nt=0016 ASSERT_ROOT node=n_fcfc7c522617 value=FALSE\nt=0017 ADD_EDGE edge_id=e_984a7588317c source=n_6a3da74d6ff2 edge_type=refutes target=n_dc4b20b616a0\nt=0018 ADD_EDGE edge_id=e_0e34e36bd090 source=n_fcfc7c522617 edge_type=refutes target=n_e34f579cc7b1\nt=0019 ADD_EDGE edge_id=e_01c1ccb973b1 source=n_dc4b20b616a0 edge_type=refutes target=n_bc6af5cf7356\nt=0020 ADD_EDGE edge_id=e_a7c006980467 source=n_fcfc7c522617 edge_type=supports target=n_5c9b1e070ba9\nt=0021 ADD_EDGE edge_id=e_363af6367876 source=n_b7c3a5a6cc74 edge_type=refutes target=n_435e89aee5d1\nt=0022 ADD_EDGE edge_id=e_98821085abc9 source=n_8465274b1228 edge_type=supports target=n_bab28df565cb\nt=0023 ADD_EDGE edge_id=e_2801322df6bf source=n_fcfc7c522617 edge_type=supports target=n_b7c3a5a6cc74\nt=0024 ADD_EDGE edge_id=e_d60e16eaec5d source=n_1f0d620e7cb8 edge_type=refutes target=n_e564b20d362b\nt=0025 ADD_EDGE edge_id=e_c2aa84d36071 source=n_08bd477a606a edge_type=refutes target=n_8465274b1228\nt=0026 ADD_EDGE edge_id=e_02c60230ccb7 source=n_bc6af5cf7356 edge_type=supports target=n_cd15fa0c1e4f\nt=0027 ADD_EDGE edge_id=e_2d8711b881bd source=n_435e89aee5d1 edge_type=supports target=n_1f0d620e7cb8\nt=0028 ADD_EDGE edge_id=e_fbed87e5c8ed source=n_fcfc7c522617 edge_type=refutes target=n_809a04e35ee9\nt=0029 ADD_EDGE edge_id=e_877c40720870 source=n_8465274b1228 edge_type=supports target=n_6a3da74d6ff2\nt=0030 ADD_EDGE edge_id=e_339619b65e91 source=n_dc4b20b616a0 edge_type=supports target=n_7063954f766f\nt=0031 QUERY source=n_fcfc7c522617 target=n_1f0d620e7cb8\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1542,"provenance":{"base_record_id":"train-d03-034","dataset":"livegraph-deterministic-parity-v3","depth":3,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d03-034","split":"train","variant":"clean"},"record_seed":433506276631489603,"render_sha256":"e6ed943cb3c07456dd26d0eb3f41794e4f2e3de95e8daa4fa980d66c5df32a1c","representation":"linear_trace","semantic_sha256":"c87df08e3f21f2e64ec835c7201941f56d5ac93b6003c38cda9687db5ded98d1"}
{"char_count":2922,"item_id":"train-d03-035::linear_trace","label":"FALSE","lexical_token_proxy_count":504,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_44e6c832639b node_type=claim\nt=0001 CREATE_NODE id=n_9ba88cab31e9 node_type=claim\nt=0002 CREATE_NODE id=n_cdb537ae58a5 node_type=claim\nt=0003 CREATE_NODE id=n_c402436433ca node_type=claim\nt=0004 CREATE_NODE id=n_83cbad126435 node_type=claim\nt=0005 CREATE_NODE id=n_ffe939450034 node_type=claim\nt=0006 CREATE_NODE id=n_fffd4c3b1cdd node_type=claim\nt=0007 CREATE_NODE id=n_b5549ecb0077 node_type=claim\nt=0008 CREATE_NODE id=n_659e1b69490d node_type=claim\nt=0009 CREATE_NODE id=n_a0f08734f40b node_type=claim\nt=0010 CREATE_NODE id=n_b9c009da2fa8 node_type=claim\nt=0011 CREATE_NODE id=n_96361413789b node_type=claim\nt=0012 CREATE_NODE id=n_308afddefc28 node_type=claim\nt=0013 CREATE_NODE id=n_f6d8e8e22ada node_type=claim\nt=0014 CREATE_NODE id=n_0ba3653b942b node_type=claim\nt=0015 CREATE_NODE id=n_4eb6fe9c54d6 node_type=claim\nt=0016 ASSERT_ROOT node=n_ffe939450034 value=FALSE\nt=0017 ADD_EDGE edge_id=e_663e1e3b4178 source=n_96361413789b edge_type=supports target=n_a0f08734f40b\nt=0018 ADD_EDGE edge_id=e_ae7c1df2a18e source=n_96361413789b edge_type=refutes target=n_fffd4c3b1cdd\nt=0019 ADD_EDGE edge_id=e_571953f4f95b source=n_ffe939450034 edge_type=supports target=n_44e6c832639b\nt=0020 ADD_EDGE edge_id=e_8cad8d22f586 source=n_44e6c832639b edge_type=refutes target=n_9ba88cab31e9\nt=0021 ADD_EDGE edge_id=e_336db7ea1a28 source=n_ffe939450034 edge_type=supports target=n_cdb537ae58a5\nt=0022 ADD_EDGE edge_id=e_e855daa93944 source=n_44e6c832639b edge_type=supports target=n_308afddefc28\nt=0023 ADD_EDGE edge_id=e_a62a75dcb57b source=n_f6d8e8e22ada edge_type=supports target=n_96361413789b\nt=0024 ADD_EDGE edge_id=e_84937e2f1adc source=n_f6d8e8e22ada edge_type=refutes target=n_c402436433ca\nt=0025 ADD_EDGE edge_id=e_a160a29ed668 source=n_96361413789b edge_type=refutes target=n_b5549ecb0077\nt=0026 ADD_EDGE edge_id=e_c5b7b30bcf9f source=n_9ba88cab31e9 edge_type=supports target=n_b9c009da2fa8\nt=0027 ADD_EDGE edge_id=e_e44a848cd828 source=n_b5549ecb0077 edge_type=refutes target=n_659e1b69490d\nt=0028 ADD_EDGE edge_id=e_43994ca6e805 source=n_9ba88cab31e9 edge_type=refutes target=n_0ba3653b942b\nt=0029 ADD_EDGE edge_id=e_9688288bc0e6 source=n_f6d8e8e22ada edge_type=supports target=n_83cbad126435\nt=0030 ADD_EDGE edge_id=e_cbedd6c804d1 source=n_ffe939450034 edge_type=refutes target=n_4eb6fe9c54d6\nt=0031 QUERY source=n_ffe939450034 target=n_0ba3653b942b\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1525,"provenance":{"base_record_id":"train-d03-035","dataset":"livegraph-deterministic-parity-v3","depth":3,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d03-035","split":"train","variant":"clean"},"record_seed":358959719595017621,"render_sha256":"f7283646b07934a392cf5d3f8bed7bf13fd64621a081a820dee4a7b54f4b754e","representation":"linear_trace","semantic_sha256":"bbc4906f2d9390379770e42f4d20368dcde459dd3e5c91e62cbe24196fb65599"}
{"char_count":2921,"item_id":"train-d03-036::linear_trace","label":"TRUE","lexical_token_proxy_count":504,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_b2a4c4904a30 node_type=claim\nt=0001 CREATE_NODE id=n_944ad22214a1 node_type=claim\nt=0002 CREATE_NODE id=n_0c0af486492f node_type=claim\nt=0003 CREATE_NODE id=n_f4b172f9e1f9 node_type=claim\nt=0004 CREATE_NODE id=n_c7dda189d09f node_type=claim\nt=0005 CREATE_NODE id=n_cd35b6cc6dbb node_type=claim\nt=0006 CREATE_NODE id=n_3238f27a7aba node_type=claim\nt=0007 CREATE_NODE id=n_3326ffc3cf06 node_type=claim\nt=0008 CREATE_NODE id=n_361f66527fc5 node_type=claim\nt=0009 CREATE_NODE id=n_059142b42b37 node_type=claim\nt=0010 CREATE_NODE id=n_560ff4479604 node_type=claim\nt=0011 CREATE_NODE id=n_890d47433a42 node_type=claim\nt=0012 CREATE_NODE id=n_7c361c3530d6 node_type=claim\nt=0013 CREATE_NODE id=n_ee9163b86a01 node_type=claim\nt=0014 CREATE_NODE id=n_ed071d1a65d2 node_type=claim\nt=0015 CREATE_NODE id=n_377b9c28e300 node_type=claim\nt=0016 ASSERT_ROOT node=n_f4b172f9e1f9 value=TRUE\nt=0017 ADD_EDGE edge_id=e_b4971fa2d5a0 source=n_ee9163b86a01 edge_type=refutes target=n_059142b42b37\nt=0018 ADD_EDGE edge_id=e_171b3947baa2 source=n_7c361c3530d6 edge_type=refutes target=n_0c0af486492f\nt=0019 ADD_EDGE edge_id=e_76cd83bf9042 source=n_f4b172f9e1f9 edge_type=refutes target=n_c7dda189d09f\nt=0020 ADD_EDGE edge_id=e_e0e71fccb08b source=n_3238f27a7aba edge_type=supports target=n_890d47433a42\nt=0021 ADD_EDGE edge_id=e_b6a3ba5bc2ca source=n_c7dda189d09f edge_type=refutes target=n_560ff4479604\nt=0022 ADD_EDGE edge_id=e_21eb766b5dee source=n_377b9c28e300 edge_type=refutes target=n_ed071d1a65d2\nt=0023 ADD_EDGE edge_id=e_535d991ae4bb source=n_7c361c3530d6 edge_type=supports target=n_3326ffc3cf06\nt=0024 ADD_EDGE edge_id=e_8144103a4268 source=n_560ff4479604 edge_type=supports target=n_ee9163b86a01\nt=0025 ADD_EDGE edge_id=e_4beab9dc8576 source=n_560ff4479604 edge_type=refutes target=n_944ad22214a1\nt=0026 ADD_EDGE edge_id=e_c1b638d65278 source=n_560ff4479604 edge_type=supports target=n_cd35b6cc6dbb\nt=0027 ADD_EDGE edge_id=e_86b0b17c580e source=n_560ff4479604 edge_type=supports target=n_361f66527fc5\nt=0028 ADD_EDGE edge_id=e_05f0bccbaec6 source=n_7c361c3530d6 edge_type=supports target=n_b2a4c4904a30\nt=0029 ADD_EDGE edge_id=e_0c31f6d97a6a source=n_7c361c3530d6 edge_type=supports target=n_377b9c28e300\nt=0030 ADD_EDGE edge_id=e_839a4784780b source=n_3326ffc3cf06 edge_type=refutes target=n_3238f27a7aba\nt=0031 QUERY source=n_f4b172f9e1f9 target=n_ee9163b86a01\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1550,"provenance":{"base_record_id":"train-d03-036","dataset":"livegraph-deterministic-parity-v3","depth":3,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d03-036","split":"train","variant":"clean"},"record_seed":226985332351907455,"render_sha256":"577389c68a83b690f4bc37c0b060bd70206737b1f33fb1f06a72c4a8274ec863","representation":"linear_trace","semantic_sha256":"5a35387977e75b6e2944ef5287b10aea404f30e3e10c29dfca4f71c8d94a0e78"}
{"char_count":2921,"item_id":"train-d03-037::linear_trace","label":"FALSE","lexical_token_proxy_count":504,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_4d47f10e4305 node_type=claim\nt=0001 CREATE_NODE id=n_3c632917306d node_type=claim\nt=0002 CREATE_NODE id=n_1ec107ccac94 node_type=claim\nt=0003 CREATE_NODE id=n_cc7e214030b5 node_type=claim\nt=0004 CREATE_NODE id=n_6953c5f375b3 node_type=claim\nt=0005 CREATE_NODE id=n_a7499ff5203a node_type=claim\nt=0006 CREATE_NODE id=n_7f7f786420d4 node_type=claim\nt=0007 CREATE_NODE id=n_774cba6181a3 node_type=claim\nt=0008 CREATE_NODE id=n_ed0c62d7aaf5 node_type=claim\nt=0009 CREATE_NODE id=n_d23e50a88a3a node_type=claim\nt=0010 CREATE_NODE id=n_9cdb3f1acebb node_type=claim\nt=0011 CREATE_NODE id=n_88f4290fd64b node_type=claim\nt=0012 CREATE_NODE id=n_5de86066bc1a node_type=claim\nt=0013 CREATE_NODE id=n_847900b179ab node_type=claim\nt=0014 CREATE_NODE id=n_5642df981578 node_type=claim\nt=0015 CREATE_NODE id=n_968c8e811bda node_type=claim\nt=0016 ASSERT_ROOT node=n_4d47f10e4305 value=TRUE\nt=0017 ADD_EDGE edge_id=e_d1da7e83f8f8 source=n_4d47f10e4305 edge_type=supports target=n_a7499ff5203a\nt=0018 ADD_EDGE edge_id=e_3211a5c03fbb source=n_968c8e811bda edge_type=refutes target=n_3c632917306d\nt=0019 ADD_EDGE edge_id=e_0ff9fbfb6c26 source=n_6953c5f375b3 edge_type=refutes target=n_1ec107ccac94\nt=0020 ADD_EDGE edge_id=e_8d34f32bafbc source=n_5de86066bc1a edge_type=supports target=n_ed0c62d7aaf5\nt=0021 ADD_EDGE edge_id=e_09f9a58b9c86 source=n_7f7f786420d4 edge_type=supports target=n_cc7e214030b5\nt=0022 ADD_EDGE edge_id=e_f5e6b22e74e2 source=n_7f7f786420d4 edge_type=refutes target=n_5642df981578\nt=0023 ADD_EDGE edge_id=e_adb7585d59d0 source=n_4d47f10e4305 edge_type=supports target=n_9cdb3f1acebb\nt=0024 ADD_EDGE edge_id=e_344cdc61a625 source=n_847900b179ab edge_type=refutes target=n_6953c5f375b3\nt=0025 ADD_EDGE edge_id=e_84aa5205b201 source=n_ed0c62d7aaf5 edge_type=supports target=n_d23e50a88a3a\nt=0026 ADD_EDGE edge_id=e_6e448d619f68 source=n_7f7f786420d4 edge_type=refutes target=n_5de86066bc1a\nt=0027 ADD_EDGE edge_id=e_fd6c5c434668 source=n_4d47f10e4305 edge_type=supports target=n_847900b179ab\nt=0028 ADD_EDGE edge_id=e_ab5c72fa8754 source=n_5642df981578 edge_type=refutes target=n_968c8e811bda\nt=0029 ADD_EDGE edge_id=e_15b6d26f2592 source=n_6953c5f375b3 edge_type=supports target=n_88f4290fd64b\nt=0030 ADD_EDGE edge_id=e_a312a503554f source=n_6953c5f375b3 edge_type=refutes target=n_774cba6181a3\nt=0031 QUERY source=n_4d47f10e4305 target=n_88f4290fd64b\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1552,"provenance":{"base_record_id":"train-d03-037","dataset":"livegraph-deterministic-parity-v3","depth":3,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d03-037","split":"train","variant":"clean"},"record_seed":1133099672757218027,"render_sha256":"67269488ac0a0e4830c5d67486474f15f5a9db651b03032fe22ceeb444965a01","representation":"linear_trace","semantic_sha256":"da5e80cb70cc3b7199db31b6ec13af0cd0fbdf87c5a1db60e6b6e760757d6401"}
{"char_count":2922,"item_id":"train-d03-038::linear_trace","label":"TRUE","lexical_token_proxy_count":504,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_fcb70152a063 node_type=claim\nt=0001 CREATE_NODE id=n_cd5024c2186d node_type=claim\nt=0002 CREATE_NODE id=n_e20ad1ac0328 node_type=claim\nt=0003 CREATE_NODE id=n_8f172747a762 node_type=claim\nt=0004 CREATE_NODE id=n_35e82da2234f node_type=claim\nt=0005 CREATE_NODE id=n_63a37f40ca58 node_type=claim\nt=0006 CREATE_NODE id=n_083ec4553394 node_type=claim\nt=0007 CREATE_NODE id=n_02bacdd56f11 node_type=claim\nt=0008 CREATE_NODE id=n_b3d64578e7f6 node_type=claim\nt=0009 CREATE_NODE id=n_c4b6b1f540a9 node_type=claim\nt=0010 CREATE_NODE id=n_74406cb221ca node_type=claim\nt=0011 CREATE_NODE id=n_c83aedd3ee21 node_type=claim\nt=0012 CREATE_NODE id=n_2eea1eca1a0c node_type=claim\nt=0013 CREATE_NODE id=n_ec23aa609242 node_type=claim\nt=0014 CREATE_NODE id=n_f91bbc093f7c node_type=claim\nt=0015 CREATE_NODE id=n_c3f6ba75e766 node_type=claim\nt=0016 ASSERT_ROOT node=n_c3f6ba75e766 value=FALSE\nt=0017 ADD_EDGE edge_id=e_7d4afe4f43f8 source=n_8f172747a762 edge_type=supports target=n_f91bbc093f7c\nt=0018 ADD_EDGE edge_id=e_137e0f608089 source=n_c3f6ba75e766 edge_type=supports target=n_ec23aa609242\nt=0019 ADD_EDGE edge_id=e_e36641fd6dd7 source=n_cd5024c2186d edge_type=refutes target=n_02bacdd56f11\nt=0020 ADD_EDGE edge_id=e_544d330c9f1f source=n_c3f6ba75e766 edge_type=refutes target=n_083ec4553394\nt=0021 ADD_EDGE edge_id=e_c7b3d3d59c65 source=n_8f172747a762 edge_type=supports target=n_2eea1eca1a0c\nt=0022 ADD_EDGE edge_id=e_33189fff3d29 source=n_02bacdd56f11 edge_type=refutes target=n_b3d64578e7f6\nt=0023 ADD_EDGE edge_id=e_cada90ac1062 source=n_2eea1eca1a0c edge_type=supports target=n_35e82da2234f\nt=0024 ADD_EDGE edge_id=e_3f749438b546 source=n_c3f6ba75e766 edge_type=refutes target=n_74406cb221ca\nt=0025 ADD_EDGE edge_id=e_ff67ada1f49a source=n_02bacdd56f11 edge_type=supports target=n_63a37f40ca58\nt=0026 ADD_EDGE edge_id=e_99a8b281468d source=n_2eea1eca1a0c edge_type=supports target=n_c4b6b1f540a9\nt=0027 ADD_EDGE edge_id=e_22de6efdf080 source=n_74406cb221ca edge_type=refutes target=n_cd5024c2186d\nt=0028 ADD_EDGE edge_id=e_2e56921e2aaa source=n_f91bbc093f7c edge_type=supports target=n_fcb70152a063\nt=0029 ADD_EDGE edge_id=e_fbd6de23a0b3 source=n_f91bbc093f7c edge_type=refutes target=n_e20ad1ac0328\nt=0030 ADD_EDGE edge_id=e_7802b47ce9e2 source=n_e20ad1ac0328 edge_type=refutes target=n_c83aedd3ee21\nt=0031 QUERY source=n_c3f6ba75e766 target=n_02bacdd56f11\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1514,"provenance":{"base_record_id":"train-d03-038","dataset":"livegraph-deterministic-parity-v3","depth":3,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d03-038","split":"train","variant":"clean"},"record_seed":342030715335834337,"render_sha256":"fcca2b86e874b7b07c12f17f9813719a5cf429d204e56ff76e532f68382685fe","representation":"linear_trace","semantic_sha256":"2fbfb4e0ea47065155da1c8acf8c1feb86a1b890d3663d7594a686e6f891230b"}
{"char_count":2922,"item_id":"train-d03-039::linear_trace","label":"FALSE","lexical_token_proxy_count":504,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_7d317b4a91ec node_type=claim\nt=0001 CREATE_NODE id=n_d7275562a9da node_type=claim\nt=0002 CREATE_NODE id=n_89be1fc41548 node_type=claim\nt=0003 CREATE_NODE id=n_3c755c2ff4b5 node_type=claim\nt=0004 CREATE_NODE id=n_6a28653098d7 node_type=claim\nt=0005 CREATE_NODE id=n_e18ff888557e node_type=claim\nt=0006 CREATE_NODE id=n_92214185c259 node_type=claim\nt=0007 CREATE_NODE id=n_7153b8365be8 node_type=claim\nt=0008 CREATE_NODE id=n_a6a90769431a node_type=claim\nt=0009 CREATE_NODE id=n_c3429b0b794b node_type=claim\nt=0010 CREATE_NODE id=n_a4522589f04f node_type=claim\nt=0011 CREATE_NODE id=n_f8bf033eccf7 node_type=claim\nt=0012 CREATE_NODE id=n_4b778aacc991 node_type=claim\nt=0013 CREATE_NODE id=n_6f13919c78ad node_type=claim\nt=0014 CREATE_NODE id=n_f1650f907669 node_type=claim\nt=0015 CREATE_NODE id=n_53a6c2e8d150 node_type=claim\nt=0016 ASSERT_ROOT node=n_4b778aacc991 value=FALSE\nt=0017 ADD_EDGE edge_id=e_ea20fe0a16a5 source=n_a4522589f04f edge_type=supports target=n_7d317b4a91ec\nt=0018 ADD_EDGE edge_id=e_dd81e4db0961 source=n_92214185c259 edge_type=supports target=n_3c755c2ff4b5\nt=0019 ADD_EDGE edge_id=e_8fb27af30bf1 source=n_a4522589f04f edge_type=supports target=n_6f13919c78ad\nt=0020 ADD_EDGE edge_id=e_98a2b3b8bbde source=n_4b778aacc991 edge_type=supports target=n_f1650f907669\nt=0021 ADD_EDGE edge_id=e_5dfd7481f392 source=n_92214185c259 edge_type=supports target=n_a6a90769431a\nt=0022 ADD_EDGE edge_id=e_9b6f16c2573d source=n_a6a90769431a edge_type=refutes target=n_c3429b0b794b\nt=0023 ADD_EDGE edge_id=e_47e46be5670d source=n_d7275562a9da edge_type=refutes target=n_a4522589f04f\nt=0024 ADD_EDGE edge_id=e_f9b4fb4fb316 source=n_92214185c259 edge_type=supports target=n_6a28653098d7\nt=0025 ADD_EDGE edge_id=e_85fbf46bf6b6 source=n_d7275562a9da edge_type=refutes target=n_7153b8365be8\nt=0026 ADD_EDGE edge_id=e_1ee6d10871aa source=n_c3429b0b794b edge_type=refutes target=n_89be1fc41548\nt=0027 ADD_EDGE edge_id=e_53bc216a597c source=n_a4522589f04f edge_type=refutes target=n_e18ff888557e\nt=0028 ADD_EDGE edge_id=e_bb4ac5b03746 source=n_d7275562a9da edge_type=refutes target=n_f8bf033eccf7\nt=0029 ADD_EDGE edge_id=e_b50acd2e64b1 source=n_4b778aacc991 edge_type=refutes target=n_92214185c259\nt=0030 ADD_EDGE edge_id=e_c0b1dcaa4d3b source=n_e18ff888557e edge_type=supports target=n_53a6c2e8d150\nt=0031 QUERY source=n_4b778aacc991 target=n_c3429b0b794b\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1554,"provenance":{"base_record_id":"train-d03-039","dataset":"livegraph-deterministic-parity-v3","depth":3,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d03-039","split":"train","variant":"clean"},"record_seed":232863034437268130,"render_sha256":"70402a88f341be5d56e2eb3ed037bc93b9a1d589945a5cdc3026b1572a8377ed","representation":"linear_trace","semantic_sha256":"b518e65555e90b9dba47bec068682fe529a4cb5c46ac85fdf5ad45bf4f501492"}
{"char_count":2921,"item_id":"train-d03-040::linear_trace","label":"TRUE","lexical_token_proxy_count":504,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_3323c3efe05b node_type=claim\nt=0001 CREATE_NODE id=n_e845ccb7b100 node_type=claim\nt=0002 CREATE_NODE id=n_689148f1969b node_type=claim\nt=0003 CREATE_NODE id=n_3e0469b7a8b4 node_type=claim\nt=0004 CREATE_NODE id=n_e1c6c57fc9d8 node_type=claim\nt=0005 CREATE_NODE id=n_9132fcb85c24 node_type=claim\nt=0006 CREATE_NODE id=n_c417f61c7c4f node_type=claim\nt=0007 CREATE_NODE id=n_ad173285bc8d node_type=claim\nt=0008 CREATE_NODE id=n_505e78615b7a node_type=claim\nt=0009 CREATE_NODE id=n_27e4c292d41f node_type=claim\nt=0010 CREATE_NODE id=n_39f59e20f983 node_type=claim\nt=0011 CREATE_NODE id=n_f71954bfc7fa node_type=claim\nt=0012 CREATE_NODE id=n_e738683debe3 node_type=claim\nt=0013 CREATE_NODE id=n_7b6c8bd9e973 node_type=claim\nt=0014 CREATE_NODE id=n_d7c362589cf1 node_type=claim\nt=0015 CREATE_NODE id=n_5504716779f8 node_type=claim\nt=0016 ASSERT_ROOT node=n_d7c362589cf1 value=TRUE\nt=0017 ADD_EDGE edge_id=e_77836877b86d source=n_3e0469b7a8b4 edge_type=supports target=n_505e78615b7a\nt=0018 ADD_EDGE edge_id=e_c2935c5492c7 source=n_27e4c292d41f edge_type=refutes target=n_7b6c8bd9e973\nt=0019 ADD_EDGE edge_id=e_6eda1ff683f1 source=n_e1c6c57fc9d8 edge_type=supports target=n_e845ccb7b100\nt=0020 ADD_EDGE edge_id=e_0bdef86520e0 source=n_27e4c292d41f edge_type=refutes target=n_5504716779f8\nt=0021 ADD_EDGE edge_id=e_5dc1c1db699e source=n_3e0469b7a8b4 edge_type=refutes target=n_9132fcb85c24\nt=0022 ADD_EDGE edge_id=e_418e18f37f40 source=n_27e4c292d41f edge_type=supports target=n_f71954bfc7fa\nt=0023 ADD_EDGE edge_id=e_28c64adfc6da source=n_e845ccb7b100 edge_type=supports target=n_ad173285bc8d\nt=0024 ADD_EDGE edge_id=e_efd2da279683 source=n_27e4c292d41f edge_type=supports target=n_689148f1969b\nt=0025 ADD_EDGE edge_id=e_feb3166e7dba source=n_3e0469b7a8b4 edge_type=supports target=n_e1c6c57fc9d8\nt=0026 ADD_EDGE edge_id=e_305f8fa8f0a8 source=n_d7c362589cf1 edge_type=refutes target=n_27e4c292d41f\nt=0027 ADD_EDGE edge_id=e_24f21f2d74b9 source=n_3e0469b7a8b4 edge_type=refutes target=n_39f59e20f983\nt=0028 ADD_EDGE edge_id=e_5cc0f5640e05 source=n_ad173285bc8d edge_type=refutes target=n_c417f61c7c4f\nt=0029 ADD_EDGE edge_id=e_8e5b4573cb60 source=n_27e4c292d41f edge_type=supports target=n_e738683debe3\nt=0030 ADD_EDGE edge_id=e_e1d6154a30d8 source=n_689148f1969b edge_type=refutes target=n_3323c3efe05b\nt=0031 QUERY source=n_d7c362589cf1 target=n_3323c3efe05b\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1558,"provenance":{"base_record_id":"train-d03-040","dataset":"livegraph-deterministic-parity-v3","depth":3,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d03-040","split":"train","variant":"clean"},"record_seed":809332253295244842,"render_sha256":"52875013e35be0a48dd52833a90610fef3c79f085524c1672728b47c97ef6217","representation":"linear_trace","semantic_sha256":"68b68850ec1a4e7c8f966ebafc137a62196ca9c8a2f72be5638428a869b9d7c8"}
{"char_count":2921,"item_id":"train-d03-041::linear_trace","label":"FALSE","lexical_token_proxy_count":504,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_b485e9697334 node_type=claim\nt=0001 CREATE_NODE id=n_d84657fd88ad node_type=claim\nt=0002 CREATE_NODE id=n_48ad20b52e3d node_type=claim\nt=0003 CREATE_NODE id=n_46277ca4d0d7 node_type=claim\nt=0004 CREATE_NODE id=n_775690b79de6 node_type=claim\nt=0005 CREATE_NODE id=n_f8cde5ca120b node_type=claim\nt=0006 CREATE_NODE id=n_7f6a08f9b97c node_type=claim\nt=0007 CREATE_NODE id=n_c4a58ce28836 node_type=claim\nt=0008 CREATE_NODE id=n_6f8aa1e24a76 node_type=claim\nt=0009 CREATE_NODE id=n_f01344f09d4c node_type=claim\nt=0010 CREATE_NODE id=n_87e18dc9f4c5 node_type=claim\nt=0011 CREATE_NODE id=n_b206cc702f95 node_type=claim\nt=0012 CREATE_NODE id=n_93b65c3f19b6 node_type=claim\nt=0013 CREATE_NODE id=n_65f1013db7ca node_type=claim\nt=0014 CREATE_NODE id=n_1ca344abf644 node_type=claim\nt=0015 CREATE_NODE id=n_769abf075931 node_type=claim\nt=0016 ASSERT_ROOT node=n_65f1013db7ca value=TRUE\nt=0017 ADD_EDGE edge_id=e_082a76533cd3 source=n_6f8aa1e24a76 edge_type=refutes target=n_769abf075931\nt=0018 ADD_EDGE edge_id=e_0d017a0f125a source=n_65f1013db7ca edge_type=refutes target=n_1ca344abf644\nt=0019 ADD_EDGE edge_id=e_d280f5cb47bf source=n_6f8aa1e24a76 edge_type=refutes target=n_f8cde5ca120b\nt=0020 ADD_EDGE edge_id=e_866d1db481d9 source=n_65f1013db7ca edge_type=supports target=n_b206cc702f95\nt=0021 ADD_EDGE edge_id=e_946e69fb0732 source=n_b206cc702f95 edge_type=supports target=n_6f8aa1e24a76\nt=0022 ADD_EDGE edge_id=e_ac4515b9ab79 source=n_d84657fd88ad edge_type=supports target=n_46277ca4d0d7\nt=0023 ADD_EDGE edge_id=e_730dca466f9f source=n_b485e9697334 edge_type=supports target=n_f01344f09d4c\nt=0024 ADD_EDGE edge_id=e_334c01bf180f source=n_b485e9697334 edge_type=refutes target=n_87e18dc9f4c5\nt=0025 ADD_EDGE edge_id=e_4df13909a5e7 source=n_b485e9697334 edge_type=refutes target=n_93b65c3f19b6\nt=0026 ADD_EDGE edge_id=e_c384b5a88ec1 source=n_93b65c3f19b6 edge_type=refutes target=n_48ad20b52e3d\nt=0027 ADD_EDGE edge_id=e_6677933a6502 source=n_6f8aa1e24a76 edge_type=refutes target=n_c4a58ce28836\nt=0028 ADD_EDGE edge_id=e_1f0274752147 source=n_b485e9697334 edge_type=supports target=n_d84657fd88ad\nt=0029 ADD_EDGE edge_id=e_c7345d0edb86 source=n_87e18dc9f4c5 edge_type=supports target=n_775690b79de6\nt=0030 ADD_EDGE edge_id=e_96bfa011a154 source=n_b206cc702f95 edge_type=supports target=n_7f6a08f9b97c\nt=0031 QUERY source=n_65f1013db7ca target=n_f8cde5ca120b\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1552,"provenance":{"base_record_id":"train-d03-041","dataset":"livegraph-deterministic-parity-v3","depth":3,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d03-041","split":"train","variant":"clean"},"record_seed":294506678596337358,"render_sha256":"0746f97bb48dcb3cfa65b666a9c7c721e9d43d21e8b2e6ea507c6a7342936c97","representation":"linear_trace","semantic_sha256":"06a8ac6cea0bfeaa84b14ee4685868ee20761f50018cb8f279f2c3dea9205eee"}
{"char_count":2922,"item_id":"train-d03-042::linear_trace","label":"TRUE","lexical_token_proxy_count":504,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_0791b8a545dd node_type=claim\nt=0001 CREATE_NODE id=n_ce26b824817b node_type=claim\nt=0002 CREATE_NODE id=n_90d8000dba5e node_type=claim\nt=0003 CREATE_NODE id=n_1ccab6effa5c node_type=claim\nt=0004 CREATE_NODE id=n_487b2e7c1c2d node_type=claim\nt=0005 CREATE_NODE id=n_59c673295ec9 node_type=claim\nt=0006 CREATE_NODE id=n_8047c7a64828 node_type=claim\nt=0007 CREATE_NODE id=n_02ab11b6c58b node_type=claim\nt=0008 CREATE_NODE id=n_79b0fc361a9f node_type=claim\nt=0009 CREATE_NODE id=n_58f0470f88ad node_type=claim\nt=0010 CREATE_NODE id=n_76993991224e node_type=claim\nt=0011 CREATE_NODE id=n_72f874130247 node_type=claim\nt=0012 CREATE_NODE id=n_ff163b50c2c6 node_type=claim\nt=0013 CREATE_NODE id=n_26879f68dfed node_type=claim\nt=0014 CREATE_NODE id=n_8dedebc5b2b0 node_type=claim\nt=0015 CREATE_NODE id=n_134825008025 node_type=claim\nt=0016 ASSERT_ROOT node=n_1ccab6effa5c value=FALSE\nt=0017 ADD_EDGE edge_id=e_58c6e6a4d01d source=n_8dedebc5b2b0 edge_type=refutes target=n_ff163b50c2c6\nt=0018 ADD_EDGE edge_id=e_0cc142ded999 source=n_79b0fc361a9f edge_type=refutes target=n_72f874130247\nt=0019 ADD_EDGE edge_id=e_73c2421361e2 source=n_134825008025 edge_type=supports target=n_8047c7a64828\nt=0020 ADD_EDGE edge_id=e_1e0b7d9b71de source=n_58f0470f88ad edge_type=refutes target=n_59c673295ec9\nt=0021 ADD_EDGE edge_id=e_ec5c88e848bd source=n_90d8000dba5e edge_type=refutes target=n_ce26b824817b\nt=0022 ADD_EDGE edge_id=e_b60ee4a48bdd source=n_90d8000dba5e edge_type=refutes target=n_26879f68dfed\nt=0023 ADD_EDGE edge_id=e_888fcd0b5ddb source=n_79b0fc361a9f edge_type=supports target=n_02ab11b6c58b\nt=0024 ADD_EDGE edge_id=e_743932c8291c source=n_134825008025 edge_type=supports target=n_8dedebc5b2b0\nt=0025 ADD_EDGE edge_id=e_8c2e8c16c0fb source=n_ce26b824817b edge_type=supports target=n_58f0470f88ad\nt=0026 ADD_EDGE edge_id=e_9fc60cf0f53c source=n_1ccab6effa5c edge_type=refutes target=n_0791b8a545dd\nt=0027 ADD_EDGE edge_id=e_087d4f939fa2 source=n_134825008025 edge_type=refutes target=n_487b2e7c1c2d\nt=0028 ADD_EDGE edge_id=e_a581a37ffa07 source=n_58f0470f88ad edge_type=supports target=n_79b0fc361a9f\nt=0029 ADD_EDGE edge_id=e_2fce120dbc25 source=n_134825008025 edge_type=supports target=n_76993991224e\nt=0030 ADD_EDGE edge_id=e_48d3ef7dcc12 source=n_0791b8a545dd edge_type=supports target=n_134825008025\nt=0031 QUERY source=n_1ccab6effa5c target=n_8dedebc5b2b0\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1533,"provenance":{"base_record_id":"train-d03-042","dataset":"livegraph-deterministic-parity-v3","depth":3,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d03-042","split":"train","variant":"clean"},"record_seed":1128273274475738319,"render_sha256":"fd42a52ad502f8f25f6c1ad59ce39a6a220cc251b1156b80c286465898398fd7","representation":"linear_trace","semantic_sha256":"55000c79583ac40b64f2fa50b90ff29ea2442274c122085266e305d998587c54"}
{"char_count":2922,"item_id":"train-d03-043::linear_trace","label":"FALSE","lexical_token_proxy_count":504,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_314d08fde791 node_type=claim\nt=0001 CREATE_NODE id=n_f09001fc554e node_type=claim\nt=0002 CREATE_NODE id=n_52c22abc4da7 node_type=claim\nt=0003 CREATE_NODE id=n_295bae55469a node_type=claim\nt=0004 CREATE_NODE id=n_f566ed54be1d node_type=claim\nt=0005 CREATE_NODE id=n_a7a353b8d97a node_type=claim\nt=0006 CREATE_NODE id=n_6ecdb7a03ce6 node_type=claim\nt=0007 CREATE_NODE id=n_273f74bae83d node_type=claim\nt=0008 CREATE_NODE id=n_e8861ded543d node_type=claim\nt=0009 CREATE_NODE id=n_c3dc591ab699 node_type=claim\nt=0010 CREATE_NODE id=n_8314f8c3e972 node_type=claim\nt=0011 CREATE_NODE id=n_9ec24693ae24 node_type=claim\nt=0012 CREATE_NODE id=n_1153a3f393b2 node_type=claim\nt=0013 CREATE_NODE id=n_6e3c0af87577 node_type=claim\nt=0014 CREATE_NODE id=n_6868a4c58d5f node_type=claim\nt=0015 CREATE_NODE id=n_f0a4b32655b3 node_type=claim\nt=0016 ASSERT_ROOT node=n_f09001fc554e value=FALSE\nt=0017 ADD_EDGE edge_id=e_89537ebb9e3d source=n_295bae55469a edge_type=supports target=n_52c22abc4da7\nt=0018 ADD_EDGE edge_id=e_f7432fc12e4a source=n_f0a4b32655b3 edge_type=refutes target=n_8314f8c3e972\nt=0019 ADD_EDGE edge_id=e_cea6df41ed2c source=n_f0a4b32655b3 edge_type=supports target=n_9ec24693ae24\nt=0020 ADD_EDGE edge_id=e_52b425f4c551 source=n_6e3c0af87577 edge_type=supports target=n_e8861ded543d\nt=0021 ADD_EDGE edge_id=e_fe48545b94b6 source=n_273f74bae83d edge_type=refutes target=n_6ecdb7a03ce6\nt=0022 ADD_EDGE edge_id=e_17da0a78f306 source=n_1153a3f393b2 edge_type=refutes target=n_314d08fde791\nt=0023 ADD_EDGE edge_id=e_08513f1846ce source=n_f0a4b32655b3 edge_type=refutes target=n_f566ed54be1d\nt=0024 ADD_EDGE edge_id=e_7d7a04249b1a source=n_c3dc591ab699 edge_type=supports target=n_295bae55469a\nt=0025 ADD_EDGE edge_id=e_1bc1ee450ebb source=n_a7a353b8d97a edge_type=supports target=n_273f74bae83d\nt=0026 ADD_EDGE edge_id=e_882a863d3065 source=n_9ec24693ae24 edge_type=supports target=n_1153a3f393b2\nt=0027 ADD_EDGE edge_id=e_e5f79d1aafd5 source=n_f09001fc554e edge_type=supports target=n_f0a4b32655b3\nt=0028 ADD_EDGE edge_id=e_ccb62c926260 source=n_f0a4b32655b3 edge_type=refutes target=n_6868a4c58d5f\nt=0029 ADD_EDGE edge_id=e_7e9fe0de328d source=n_6ecdb7a03ce6 edge_type=refutes target=n_c3dc591ab699\nt=0030 ADD_EDGE edge_id=e_a9deac8e3121 source=n_a7a353b8d97a edge_type=refutes target=n_6e3c0af87577\nt=0031 QUERY source=n_f09001fc554e target=n_1153a3f393b2\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1536,"provenance":{"base_record_id":"train-d03-043","dataset":"livegraph-deterministic-parity-v3","depth":3,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d03-043","split":"train","variant":"clean"},"record_seed":670324435926916641,"render_sha256":"26ca58be9bf5b12ab96a78ae4208eb7c42c093db0a873bfd9e72ab751bb8682d","representation":"linear_trace","semantic_sha256":"254b0167f17b65b69e428ed4ac2aceda061508c442ebfe7451f197758ea4906b"}
{"char_count":2921,"item_id":"train-d03-044::linear_trace","label":"TRUE","lexical_token_proxy_count":504,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_8db6f749d4bc node_type=claim\nt=0001 CREATE_NODE id=n_1ca44a8d222f node_type=claim\nt=0002 CREATE_NODE id=n_468beae1907a node_type=claim\nt=0003 CREATE_NODE id=n_6aaff3393d62 node_type=claim\nt=0004 CREATE_NODE id=n_aee82b41cbe2 node_type=claim\nt=0005 CREATE_NODE id=n_c6f8c10feb62 node_type=claim\nt=0006 CREATE_NODE id=n_864d4af6dee0 node_type=claim\nt=0007 CREATE_NODE id=n_9d35614d48ee node_type=claim\nt=0008 CREATE_NODE id=n_57a9d07e22bd node_type=claim\nt=0009 CREATE_NODE id=n_1676b878e012 node_type=claim\nt=0010 CREATE_NODE id=n_1dd64975d28e node_type=claim\nt=0011 CREATE_NODE id=n_b6b8a52be09f node_type=claim\nt=0012 CREATE_NODE id=n_39bcffb9aacc node_type=claim\nt=0013 CREATE_NODE id=n_38dfc56c1f68 node_type=claim\nt=0014 CREATE_NODE id=n_a99daa72cf86 node_type=claim\nt=0015 CREATE_NODE id=n_df0879aa61ca node_type=claim\nt=0016 ASSERT_ROOT node=n_468beae1907a value=TRUE\nt=0017 ADD_EDGE edge_id=e_437c858a7a0a source=n_6aaff3393d62 edge_type=refutes target=n_aee82b41cbe2\nt=0018 ADD_EDGE edge_id=e_13fa95a1a189 source=n_39bcffb9aacc edge_type=refutes target=n_57a9d07e22bd\nt=0019 ADD_EDGE edge_id=e_59a90b9d6bad source=n_1676b878e012 edge_type=supports target=n_39bcffb9aacc\nt=0020 ADD_EDGE edge_id=e_26dd07a068a0 source=n_468beae1907a edge_type=supports target=n_1dd64975d28e\nt=0021 ADD_EDGE edge_id=e_50da9894eba6 source=n_468beae1907a edge_type=refutes target=n_8db6f749d4bc\nt=0022 ADD_EDGE edge_id=e_4e8ff3b2b505 source=n_6aaff3393d62 edge_type=supports target=n_38dfc56c1f68\nt=0023 ADD_EDGE edge_id=e_fc19e8411162 source=n_1676b878e012 edge_type=supports target=n_a99daa72cf86\nt=0024 ADD_EDGE edge_id=e_f72d5aea210a source=n_1676b878e012 edge_type=supports target=n_c6f8c10feb62\nt=0025 ADD_EDGE edge_id=e_7bbafdea0035 source=n_6aaff3393d62 edge_type=supports target=n_9d35614d48ee\nt=0026 ADD_EDGE edge_id=e_15e4fe92c548 source=n_aee82b41cbe2 edge_type=refutes target=n_1ca44a8d222f\nt=0027 ADD_EDGE edge_id=e_50fbde823dc3 source=n_aee82b41cbe2 edge_type=refutes target=n_b6b8a52be09f\nt=0028 ADD_EDGE edge_id=e_f1c55b5ccd4b source=n_1dd64975d28e edge_type=supports target=n_1676b878e012\nt=0029 ADD_EDGE edge_id=e_ee07c2c2ee5f source=n_aee82b41cbe2 edge_type=refutes target=n_df0879aa61ca\nt=0030 ADD_EDGE edge_id=e_47e8b4c96d96 source=n_df0879aa61ca edge_type=refutes target=n_864d4af6dee0\nt=0031 QUERY source=n_468beae1907a target=n_39bcffb9aacc\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1504,"provenance":{"base_record_id":"train-d03-044","dataset":"livegraph-deterministic-parity-v3","depth":3,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d03-044","split":"train","variant":"clean"},"record_seed":57698068568394939,"render_sha256":"ba17783ecbbe4cea17542028d97051e44df5014c11d337819e7d4e654407d319","representation":"linear_trace","semantic_sha256":"d1a7a47e213b479eb55087d518e270fb045b1b8ac81ae1004c7b9c71242071ea"}
{"char_count":2921,"item_id":"train-d03-045::linear_trace","label":"FALSE","lexical_token_proxy_count":504,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_bf5ebd59380a node_type=claim\nt=0001 CREATE_NODE id=n_84aa1152557e node_type=claim\nt=0002 CREATE_NODE id=n_b67fd9a24c62 node_type=claim\nt=0003 CREATE_NODE id=n_dec51a54226e node_type=claim\nt=0004 CREATE_NODE id=n_650be8a44598 node_type=claim\nt=0005 CREATE_NODE id=n_23f622f8c14f node_type=claim\nt=0006 CREATE_NODE id=n_6d6a4373f8fe node_type=claim\nt=0007 CREATE_NODE id=n_6d2c77c5c2b0 node_type=claim\nt=0008 CREATE_NODE id=n_646ad0617f19 node_type=claim\nt=0009 CREATE_NODE id=n_0959fef1f377 node_type=claim\nt=0010 CREATE_NODE id=n_c46c7400cb52 node_type=claim\nt=0011 CREATE_NODE id=n_4e87fc8fd709 node_type=claim\nt=0012 CREATE_NODE id=n_57e6f7abbada node_type=claim\nt=0013 CREATE_NODE id=n_f4d31ac47a5d node_type=claim\nt=0014 CREATE_NODE id=n_21eff7e61d70 node_type=claim\nt=0015 CREATE_NODE id=n_a3ca35405dff node_type=claim\nt=0016 ASSERT_ROOT node=n_6d6a4373f8fe value=TRUE\nt=0017 ADD_EDGE edge_id=e_d2600bc24e6d source=n_dec51a54226e edge_type=refutes target=n_57e6f7abbada\nt=0018 ADD_EDGE edge_id=e_72e0b0115de1 source=n_f4d31ac47a5d edge_type=supports target=n_a3ca35405dff\nt=0019 ADD_EDGE edge_id=e_e587b4dc7b4e source=n_c46c7400cb52 edge_type=refutes target=n_bf5ebd59380a\nt=0020 ADD_EDGE edge_id=e_5cbb4ab9cdb8 source=n_c46c7400cb52 edge_type=refutes target=n_84aa1152557e\nt=0021 ADD_EDGE edge_id=e_816a3df9e0d6 source=n_dec51a54226e edge_type=supports target=n_6d2c77c5c2b0\nt=0022 ADD_EDGE edge_id=e_e518d44def32 source=n_6d6a4373f8fe edge_type=supports target=n_0959fef1f377\nt=0023 ADD_EDGE edge_id=e_990aff269de4 source=n_21eff7e61d70 edge_type=refutes target=n_646ad0617f19\nt=0024 ADD_EDGE edge_id=e_552682c6a928 source=n_a3ca35405dff edge_type=supports target=n_650be8a44598\nt=0025 ADD_EDGE edge_id=e_a26da5b26564 source=n_c46c7400cb52 edge_type=supports target=n_21eff7e61d70\nt=0026 ADD_EDGE edge_id=e_382da23c86dc source=n_c46c7400cb52 edge_type=refutes target=n_b67fd9a24c62\nt=0027 ADD_EDGE edge_id=e_9ab56e09ea78 source=n_6d6a4373f8fe edge_type=refutes target=n_dec51a54226e\nt=0028 ADD_EDGE edge_id=e_0dbd8c795f19 source=n_c46c7400cb52 edge_type=supports target=n_23f622f8c14f\nt=0029 ADD_EDGE edge_id=e_c38f8e2e6cee source=n_23f622f8c14f edge_type=refutes target=n_4e87fc8fd709\nt=0030 ADD_EDGE edge_id=e_34dd884b3e34 source=n_dec51a54226e edge_type=supports target=n_f4d31ac47a5d\nt=0031 QUERY source=n_6d6a4373f8fe target=n_a3ca35405dff\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1526,"provenance":{"base_record_id":"train-d03-045","dataset":"livegraph-deterministic-parity-v3","depth":3,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d03-045","split":"train","variant":"clean"},"record_seed":796317472136947441,"render_sha256":"feda3b0f21499d39ce4dd4929225df234b96b07e193bbce6ba305ac9ad05b4b3","representation":"linear_trace","semantic_sha256":"17235ab2d72bf913a4e01b18f0a8254876b53af50279af2ad3d2d9c74f7731a3"}
{"char_count":2922,"item_id":"train-d03-046::linear_trace","label":"TRUE","lexical_token_proxy_count":504,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_031fd9097e37 node_type=claim\nt=0001 CREATE_NODE id=n_13215f2bd7e6 node_type=claim\nt=0002 CREATE_NODE id=n_8a4fb798f720 node_type=claim\nt=0003 CREATE_NODE id=n_e0b61b554191 node_type=claim\nt=0004 CREATE_NODE id=n_9e7f1be0be4a node_type=claim\nt=0005 CREATE_NODE id=n_a905650b324c node_type=claim\nt=0006 CREATE_NODE id=n_755398fbb105 node_type=claim\nt=0007 CREATE_NODE id=n_3c35a80ec360 node_type=claim\nt=0008 CREATE_NODE id=n_aecfe0df4038 node_type=claim\nt=0009 CREATE_NODE id=n_eb3c8d158897 node_type=claim\nt=0010 CREATE_NODE id=n_2d68b6e74ef2 node_type=claim\nt=0011 CREATE_NODE id=n_f4d7b822a182 node_type=claim\nt=0012 CREATE_NODE id=n_cb92d86a06c0 node_type=claim\nt=0013 CREATE_NODE id=n_b29901f0b123 node_type=claim\nt=0014 CREATE_NODE id=n_c03a701d5af1 node_type=claim\nt=0015 CREATE_NODE id=n_a722af62498f node_type=claim\nt=0016 ASSERT_ROOT node=n_cb92d86a06c0 value=FALSE\nt=0017 ADD_EDGE edge_id=e_03fd5b762fe7 source=n_c03a701d5af1 edge_type=supports target=n_9e7f1be0be4a\nt=0018 ADD_EDGE edge_id=e_71dc6d076b64 source=n_f4d7b822a182 edge_type=refutes target=n_031fd9097e37\nt=0019 ADD_EDGE edge_id=e_52f6157b3780 source=n_2d68b6e74ef2 edge_type=supports target=n_b29901f0b123\nt=0020 ADD_EDGE edge_id=e_dddf7f4f1fc9 source=n_13215f2bd7e6 edge_type=supports target=n_c03a701d5af1\nt=0021 ADD_EDGE edge_id=e_7e8d7b215d64 source=n_755398fbb105 edge_type=refutes target=n_aecfe0df4038\nt=0022 ADD_EDGE edge_id=e_91bdddec6330 source=n_13215f2bd7e6 edge_type=refutes target=n_a722af62498f\nt=0023 ADD_EDGE edge_id=e_231e21023e26 source=n_2d68b6e74ef2 edge_type=supports target=n_eb3c8d158897\nt=0024 ADD_EDGE edge_id=e_d32487e791ec source=n_13215f2bd7e6 edge_type=refutes target=n_e0b61b554191\nt=0025 ADD_EDGE edge_id=e_171cbd820dcf source=n_e0b61b554191 edge_type=refutes target=n_2d68b6e74ef2\nt=0026 ADD_EDGE edge_id=e_423132356457 source=n_3c35a80ec360 edge_type=supports target=n_755398fbb105\nt=0027 ADD_EDGE edge_id=e_d8ce0e262ff1 source=n_f4d7b822a182 edge_type=supports target=n_a905650b324c\nt=0028 ADD_EDGE edge_id=e_4b961ac09633 source=n_f4d7b822a182 edge_type=refutes target=n_8a4fb798f720\nt=0029 ADD_EDGE edge_id=e_7159308fd82c source=n_cb92d86a06c0 edge_type=refutes target=n_f4d7b822a182\nt=0030 ADD_EDGE edge_id=e_da7bdbcc09cb source=n_f4d7b822a182 edge_type=supports target=n_3c35a80ec360\nt=0031 QUERY source=n_cb92d86a06c0 target=n_755398fbb105\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1548,"provenance":{"base_record_id":"train-d03-046","dataset":"livegraph-deterministic-parity-v3","depth":3,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d03-046","split":"train","variant":"clean"},"record_seed":185495679870218126,"render_sha256":"f5c7bfa2c617fd3ff54435ca2173f121faa44fccbca3c2ac4cff12b9978441fa","representation":"linear_trace","semantic_sha256":"4940b1ebe197c50dd7519f93558f60eba3620a6e22e7c2e80ffd8700dfe7faa4"}
{"char_count":2922,"item_id":"train-d03-047::linear_trace","label":"FALSE","lexical_token_proxy_count":504,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_38604ab4510d node_type=claim\nt=0001 CREATE_NODE id=n_83fb572d3c17 node_type=claim\nt=0002 CREATE_NODE id=n_c9df3659c475 node_type=claim\nt=0003 CREATE_NODE id=n_2776576030da node_type=claim\nt=0004 CREATE_NODE id=n_36336b2754e7 node_type=claim\nt=0005 CREATE_NODE id=n_014b381e8b6a node_type=claim\nt=0006 CREATE_NODE id=n_f5fdaabf3217 node_type=claim\nt=0007 CREATE_NODE id=n_d56f7dc4a437 node_type=claim\nt=0008 CREATE_NODE id=n_15e5380cd49a node_type=claim\nt=0009 CREATE_NODE id=n_d2b530648f48 node_type=claim\nt=0010 CREATE_NODE id=n_76f8c5ade8e1 node_type=claim\nt=0011 CREATE_NODE id=n_7928731955b1 node_type=claim\nt=0012 CREATE_NODE id=n_a117de895bd5 node_type=claim\nt=0013 CREATE_NODE id=n_a2e9a6594591 node_type=claim\nt=0014 CREATE_NODE id=n_6abb9c6e81df node_type=claim\nt=0015 CREATE_NODE id=n_f0a67d7b1379 node_type=claim\nt=0016 ASSERT_ROOT node=n_f5fdaabf3217 value=FALSE\nt=0017 ADD_EDGE edge_id=e_5b0eb1e47028 source=n_38604ab4510d edge_type=supports target=n_c9df3659c475\nt=0018 ADD_EDGE edge_id=e_4d187140e0c3 source=n_f0a67d7b1379 edge_type=supports target=n_83fb572d3c17\nt=0019 ADD_EDGE edge_id=e_88108029bb52 source=n_f5fdaabf3217 edge_type=refutes target=n_a2e9a6594591\nt=0020 ADD_EDGE edge_id=e_7987d1c85b18 source=n_36336b2754e7 edge_type=supports target=n_f0a67d7b1379\nt=0021 ADD_EDGE edge_id=e_41db1ba0cabf source=n_f0a67d7b1379 edge_type=refutes target=n_15e5380cd49a\nt=0022 ADD_EDGE edge_id=e_76d55ec82d1d source=n_a2e9a6594591 edge_type=supports target=n_38604ab4510d\nt=0023 ADD_EDGE edge_id=e_cf7977fe1433 source=n_38604ab4510d edge_type=supports target=n_76f8c5ade8e1\nt=0024 ADD_EDGE edge_id=e_dd85e4be6a05 source=n_7928731955b1 edge_type=refutes target=n_d56f7dc4a437\nt=0025 ADD_EDGE edge_id=e_3971b476d036 source=n_38604ab4510d edge_type=refutes target=n_7928731955b1\nt=0026 ADD_EDGE edge_id=e_6728b94bea0a source=n_36336b2754e7 edge_type=supports target=n_014b381e8b6a\nt=0027 ADD_EDGE edge_id=e_d2db9a151e2f source=n_f5fdaabf3217 edge_type=supports target=n_2776576030da\nt=0028 ADD_EDGE edge_id=e_5f73fcdafa24 source=n_014b381e8b6a edge_type=refutes target=n_a117de895bd5\nt=0029 ADD_EDGE edge_id=e_f0978c095844 source=n_15e5380cd49a edge_type=refutes target=n_6abb9c6e81df\nt=0030 ADD_EDGE edge_id=e_8f510e64c31b source=n_f0a67d7b1379 edge_type=refutes target=n_d2b530648f48\nt=0031 QUERY source=n_f5fdaabf3217 target=n_7928731955b1\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1551,"provenance":{"base_record_id":"train-d03-047","dataset":"livegraph-deterministic-parity-v3","depth":3,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d03-047","split":"train","variant":"clean"},"record_seed":463843361996259052,"render_sha256":"76f4a70c3d44596ca95b7eec9dbb73ae3769aef85f0ea6263610bd7d35e54021","representation":"linear_trace","semantic_sha256":"ce4177cce4de3d618525beb28672c200812b3926dffda6588ba7309fba4dc5cd"}
{"char_count":3230,"item_id":"train-d04-000::linear_trace","label":"TRUE","lexical_token_proxy_count":556,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_ee1d8466056a node_type=claim\nt=0001 CREATE_NODE id=n_0726aa8f0e15 node_type=claim\nt=0002 CREATE_NODE id=n_642cd24c13bc node_type=claim\nt=0003 CREATE_NODE id=n_ed5afc5ea2b1 node_type=claim\nt=0004 CREATE_NODE id=n_b3db4aaa7b05 node_type=claim\nt=0005 CREATE_NODE id=n_0820a79e4ab8 node_type=claim\nt=0006 CREATE_NODE id=n_54e29076b633 node_type=claim\nt=0007 CREATE_NODE id=n_b8bee30cdd88 node_type=claim\nt=0008 CREATE_NODE id=n_251ca80ecc9a node_type=claim\nt=0009 CREATE_NODE id=n_c9ae9193873a node_type=claim\nt=0010 CREATE_NODE id=n_31adad437b9a node_type=claim\nt=0011 CREATE_NODE id=n_2c91825bc1ad node_type=claim\nt=0012 CREATE_NODE id=n_91e48c1268d5 node_type=claim\nt=0013 CREATE_NODE id=n_e742ce092f5b node_type=claim\nt=0014 CREATE_NODE id=n_52115f42835c node_type=claim\nt=0015 CREATE_NODE id=n_0e6d284b77a2 node_type=claim\nt=0016 CREATE_NODE id=n_b6117c61c817 node_type=claim\nt=0017 CREATE_NODE id=n_38d586487f87 node_type=claim\nt=0018 ASSERT_ROOT node=n_b3db4aaa7b05 value=TRUE\nt=0019 ADD_EDGE edge_id=e_8117bb57de7d source=n_b8bee30cdd88 edge_type=supports target=n_0820a79e4ab8\nt=0020 ADD_EDGE edge_id=e_90322be59933 source=n_ed5afc5ea2b1 edge_type=supports target=n_b8bee30cdd88\nt=0021 ADD_EDGE edge_id=e_ad700d1892c1 source=n_b3db4aaa7b05 edge_type=supports target=n_251ca80ecc9a\nt=0022 ADD_EDGE edge_id=e_829473a826bb source=n_54e29076b633 edge_type=refutes target=n_b6117c61c817\nt=0023 ADD_EDGE edge_id=e_578c488ebb0c source=n_ed5afc5ea2b1 edge_type=supports target=n_52115f42835c\nt=0024 ADD_EDGE edge_id=e_fb1781250a8e source=n_e742ce092f5b edge_type=refutes target=n_54e29076b633\nt=0025 ADD_EDGE edge_id=e_6c3b51b40bb0 source=n_0726aa8f0e15 edge_type=refutes target=n_91e48c1268d5\nt=0026 ADD_EDGE edge_id=e_cce419367f61 source=n_251ca80ecc9a edge_type=refutes target=n_0e6d284b77a2\nt=0027 ADD_EDGE edge_id=e_b9e45edc98d3 source=n_642cd24c13bc edge_type=supports target=n_c9ae9193873a\nt=0028 ADD_EDGE edge_id=e_60326075b6d0 source=n_b8bee30cdd88 edge_type=supports target=n_ee1d8466056a\nt=0029 ADD_EDGE edge_id=e_ae9b93b1a5e1 source=n_642cd24c13bc edge_type=refutes target=n_e742ce092f5b\nt=0030 ADD_EDGE edge_id=e_b730bfac086b source=n_0e6d284b77a2 edge_type=refutes target=n_ed5afc5ea2b1\nt=0031 ADD_EDGE edge_id=e_340a492cba56 source=n_c9ae9193873a edge_type=supports target=n_38d586487f87\nt=0032 ADD_EDGE edge_id=e_15c693a6a830 source=n_e742ce092f5b edge_type=refutes target=n_31adad437b9a\nt=0033 ADD_EDGE edge_id=e_b1e4e573d1d4 source=n_b3db4aaa7b05 edge_type=refutes target=n_2c91825bc1ad\nt=0034 ADD_EDGE edge_id=e_00ac32d2ad5f source=n_0726aa8f0e15 edge_type=supports target=n_642cd24c13bc\nt=0035 QUERY source=n_b3db4aaa7b05 target=n_b8bee30cdd88\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1708,"provenance":{"base_record_id":"train-d04-000","dataset":"livegraph-deterministic-parity-v3","depth":4,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d04-000","split":"train","variant":"clean"},"record_seed":441238404361658713,"render_sha256":"80e08ce28d62b3775d5458de3380f9b98e81d6357bc9aa1659b3c105df2a3357","representation":"linear_trace","semantic_sha256":"2a3c930908389455d4e882b54fb35af7026d25cd5ee3666ca3bb5bb8c8889795"}
{"char_count":3230,"item_id":"train-d04-001::linear_trace","label":"FALSE","lexical_token_proxy_count":556,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_45c9a030bf93 node_type=claim\nt=0001 CREATE_NODE id=n_ddb52f7fcce6 node_type=claim\nt=0002 CREATE_NODE id=n_c23ba055c181 node_type=claim\nt=0003 CREATE_NODE id=n_daadeed6d950 node_type=claim\nt=0004 CREATE_NODE id=n_2c9aff7863f4 node_type=claim\nt=0005 CREATE_NODE id=n_8b50e1d31791 node_type=claim\nt=0006 CREATE_NODE id=n_b9265c900587 node_type=claim\nt=0007 CREATE_NODE id=n_a43fe36b65cf node_type=claim\nt=0008 CREATE_NODE id=n_5b90221ef72f node_type=claim\nt=0009 CREATE_NODE id=n_45835fd2ea6e node_type=claim\nt=0010 CREATE_NODE id=n_4b5475287a73 node_type=claim\nt=0011 CREATE_NODE id=n_d4c2bf6cdfe9 node_type=claim\nt=0012 CREATE_NODE id=n_240c4cb6af0a node_type=claim\nt=0013 CREATE_NODE id=n_1508157a5276 node_type=claim\nt=0014 CREATE_NODE id=n_c6bcf102c0de node_type=claim\nt=0015 CREATE_NODE id=n_a350f2914b29 node_type=claim\nt=0016 CREATE_NODE id=n_c39d2b1d0090 node_type=claim\nt=0017 CREATE_NODE id=n_d98bc48476ea node_type=claim\nt=0018 ASSERT_ROOT node=n_a43fe36b65cf value=TRUE\nt=0019 ADD_EDGE edge_id=e_844f198b97c9 source=n_45c9a030bf93 edge_type=supports target=n_a350f2914b29\nt=0020 ADD_EDGE edge_id=e_b97a8d2851dc source=n_5b90221ef72f edge_type=supports target=n_d98bc48476ea\nt=0021 ADD_EDGE edge_id=e_3f4d54078995 source=n_2c9aff7863f4 edge_type=refutes target=n_c6bcf102c0de\nt=0022 ADD_EDGE edge_id=e_91e760251979 source=n_4b5475287a73 edge_type=supports target=n_2c9aff7863f4\nt=0023 ADD_EDGE edge_id=e_971b1156132e source=n_a350f2914b29 edge_type=refutes target=n_ddb52f7fcce6\nt=0024 ADD_EDGE edge_id=e_793ff8b2ae0c source=n_d4c2bf6cdfe9 edge_type=refutes target=n_c23ba055c181\nt=0025 ADD_EDGE edge_id=e_9f54d090e639 source=n_45c9a030bf93 edge_type=supports target=n_daadeed6d950\nt=0026 ADD_EDGE edge_id=e_7041755d9984 source=n_2c9aff7863f4 edge_type=refutes target=n_45c9a030bf93\nt=0027 ADD_EDGE edge_id=e_ada2cde408bf source=n_c23ba055c181 edge_type=refutes target=n_c39d2b1d0090\nt=0028 ADD_EDGE edge_id=e_89b95ba0333e source=n_8b50e1d31791 edge_type=refutes target=n_45835fd2ea6e\nt=0029 ADD_EDGE edge_id=e_a2dcc5cad61c source=n_5b90221ef72f edge_type=supports target=n_8b50e1d31791\nt=0030 ADD_EDGE edge_id=e_4695c01890aa source=n_b9265c900587 edge_type=supports target=n_5b90221ef72f\nt=0031 ADD_EDGE edge_id=e_e29f89385dba source=n_a43fe36b65cf edge_type=supports target=n_1508157a5276\nt=0032 ADD_EDGE edge_id=e_6c4592e1f5db source=n_a43fe36b65cf edge_type=supports target=n_4b5475287a73\nt=0033 ADD_EDGE edge_id=e_dbca5ae4ca44 source=n_5b90221ef72f edge_type=refutes target=n_d4c2bf6cdfe9\nt=0034 ADD_EDGE edge_id=e_a4a5f9f725e7 source=n_5b90221ef72f edge_type=refutes target=n_240c4cb6af0a\nt=0035 QUERY source=n_a43fe36b65cf target=n_a350f2914b29\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1717,"provenance":{"base_record_id":"train-d04-001","dataset":"livegraph-deterministic-parity-v3","depth":4,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d04-001","split":"train","variant":"clean"},"record_seed":534876400776250131,"render_sha256":"5be1b9748ffb772303212b3dc3857db9745452c1d5d30b4283fd918c76098e8c","representation":"linear_trace","semantic_sha256":"3e2a6b384a7bb4978484ba691752820306de11cc963ea471480d98a6798109dc"}
{"char_count":3231,"item_id":"train-d04-002::linear_trace","label":"TRUE","lexical_token_proxy_count":556,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_6ff152d92b54 node_type=claim\nt=0001 CREATE_NODE id=n_286151600d1c node_type=claim\nt=0002 CREATE_NODE id=n_736e104bb978 node_type=claim\nt=0003 CREATE_NODE id=n_8a96cd6681f6 node_type=claim\nt=0004 CREATE_NODE id=n_2161bf855d23 node_type=claim\nt=0005 CREATE_NODE id=n_5f288b3652d6 node_type=claim\nt=0006 CREATE_NODE id=n_67bfacbea2b7 node_type=claim\nt=0007 CREATE_NODE id=n_1e21ba046e67 node_type=claim\nt=0008 CREATE_NODE id=n_37f2d47a290e node_type=claim\nt=0009 CREATE_NODE id=n_d7bb21a6397d node_type=claim\nt=0010 CREATE_NODE id=n_a43f31b4cd1c node_type=claim\nt=0011 CREATE_NODE id=n_1ff99d9eae45 node_type=claim\nt=0012 CREATE_NODE id=n_608c523226eb node_type=claim\nt=0013 CREATE_NODE id=n_56111adb27fb node_type=claim\nt=0014 CREATE_NODE id=n_c569d63bac42 node_type=claim\nt=0015 CREATE_NODE id=n_6d679e11d108 node_type=claim\nt=0016 CREATE_NODE id=n_c173b58459bb node_type=claim\nt=0017 CREATE_NODE id=n_0e84ba51e7ba node_type=claim\nt=0018 ASSERT_ROOT node=n_0e84ba51e7ba value=FALSE\nt=0019 ADD_EDGE edge_id=e_0141c729baa2 source=n_a43f31b4cd1c edge_type=supports target=n_6ff152d92b54\nt=0020 ADD_EDGE edge_id=e_41bf2900e48d source=n_6d679e11d108 edge_type=refutes target=n_8a96cd6681f6\nt=0021 ADD_EDGE edge_id=e_8d5458b75cc4 source=n_5f288b3652d6 edge_type=refutes target=n_1ff99d9eae45\nt=0022 ADD_EDGE edge_id=e_46d298176da0 source=n_c173b58459bb edge_type=supports target=n_67bfacbea2b7\nt=0023 ADD_EDGE edge_id=e_174a759263e8 source=n_286151600d1c edge_type=supports target=n_6d679e11d108\nt=0024 ADD_EDGE edge_id=e_7e5f43922eb9 source=n_0e84ba51e7ba edge_type=refutes target=n_c569d63bac42\nt=0025 ADD_EDGE edge_id=e_5d98e4750bad source=n_37f2d47a290e edge_type=supports target=n_2161bf855d23\nt=0026 ADD_EDGE edge_id=e_cef8fe212b29 source=n_d7bb21a6397d edge_type=refutes target=n_736e104bb978\nt=0027 ADD_EDGE edge_id=e_550117431316 source=n_d7bb21a6397d edge_type=supports target=n_a43f31b4cd1c\nt=0028 ADD_EDGE edge_id=e_f54bddb61f10 source=n_56111adb27fb edge_type=refutes target=n_286151600d1c\nt=0029 ADD_EDGE edge_id=e_44ce05d05646 source=n_37f2d47a290e edge_type=refutes target=n_1e21ba046e67\nt=0030 ADD_EDGE edge_id=e_4c360e4d7e4b source=n_56111adb27fb edge_type=supports target=n_37f2d47a290e\nt=0031 ADD_EDGE edge_id=e_346c9de62f03 source=n_0e84ba51e7ba edge_type=refutes target=n_d7bb21a6397d\nt=0032 ADD_EDGE edge_id=e_f9b0db1eb11a source=n_6ff152d92b54 edge_type=supports target=n_5f288b3652d6\nt=0033 ADD_EDGE edge_id=e_2e6151923baa source=n_1e21ba046e67 edge_type=refutes target=n_c173b58459bb\nt=0034 ADD_EDGE edge_id=e_0df388c5fda6 source=n_0e84ba51e7ba edge_type=supports target=n_608c523226eb\nt=0035 QUERY source=n_0e84ba51e7ba target=n_5f288b3652d6\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1721,"provenance":{"base_record_id":"train-d04-002","dataset":"livegraph-deterministic-parity-v3","depth":4,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d04-002","split":"train","variant":"clean"},"record_seed":415220707762892185,"render_sha256":"b664081682fe6003fb600dd5ecdd41717356fdbe74ccaab40417f758641ff30b","representation":"linear_trace","semantic_sha256":"2edfa2c4a816e4a657da677e24a09ebd16bea382b61ca7bd3c002bfe5e10ca6b"}
{"char_count":3231,"item_id":"train-d04-003::linear_trace","label":"FALSE","lexical_token_proxy_count":556,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_937421c0d86e node_type=claim\nt=0001 CREATE_NODE id=n_392a39467ffc node_type=claim\nt=0002 CREATE_NODE id=n_d3c9aa07fc83 node_type=claim\nt=0003 CREATE_NODE id=n_d5c91d4e316f node_type=claim\nt=0004 CREATE_NODE id=n_aa7a87af4ab1 node_type=claim\nt=0005 CREATE_NODE id=n_a318da479cf3 node_type=claim\nt=0006 CREATE_NODE id=n_937c8005fa98 node_type=claim\nt=0007 CREATE_NODE id=n_6867694e4080 node_type=claim\nt=0008 CREATE_NODE id=n_34b81c7e8f0b node_type=claim\nt=0009 CREATE_NODE id=n_cc1885ba9f66 node_type=claim\nt=0010 CREATE_NODE id=n_e210b76f2a34 node_type=claim\nt=0011 CREATE_NODE id=n_1bffb20936c0 node_type=claim\nt=0012 CREATE_NODE id=n_87039189083f node_type=claim\nt=0013 CREATE_NODE id=n_f3b566939557 node_type=claim\nt=0014 CREATE_NODE id=n_7f06f39fa20f node_type=claim\nt=0015 CREATE_NODE id=n_15a307b77197 node_type=claim\nt=0016 CREATE_NODE id=n_c212a83d6623 node_type=claim\nt=0017 CREATE_NODE id=n_84acc4d9b20e node_type=claim\nt=0018 ASSERT_ROOT node=n_e210b76f2a34 value=FALSE\nt=0019 ADD_EDGE edge_id=e_1039c4c15ecd source=n_d5c91d4e316f edge_type=refutes target=n_87039189083f\nt=0020 ADD_EDGE edge_id=e_f49f7d76b425 source=n_a318da479cf3 edge_type=supports target=n_34b81c7e8f0b\nt=0021 ADD_EDGE edge_id=e_dc6ef8d1f50c source=n_34b81c7e8f0b edge_type=refutes target=n_937c8005fa98\nt=0022 ADD_EDGE edge_id=e_7f2a00b3f8f6 source=n_e210b76f2a34 edge_type=supports target=n_c212a83d6623\nt=0023 ADD_EDGE edge_id=e_33103a808ce6 source=n_d5c91d4e316f edge_type=refutes target=n_15a307b77197\nt=0024 ADD_EDGE edge_id=e_28c8e417d874 source=n_e210b76f2a34 edge_type=refutes target=n_6867694e4080\nt=0025 ADD_EDGE edge_id=e_1142494a3731 source=n_7f06f39fa20f edge_type=supports target=n_f3b566939557\nt=0026 ADD_EDGE edge_id=e_76a4af72363f source=n_937c8005fa98 edge_type=supports target=n_937421c0d86e\nt=0027 ADD_EDGE edge_id=e_9d774a55211e source=n_87039189083f edge_type=refutes target=n_aa7a87af4ab1\nt=0028 ADD_EDGE edge_id=e_abbe9cb5ee6e source=n_a318da479cf3 edge_type=refutes target=n_d5c91d4e316f\nt=0029 ADD_EDGE edge_id=e_200cf0f92a32 source=n_f3b566939557 edge_type=supports target=n_392a39467ffc\nt=0030 ADD_EDGE edge_id=e_331649d9ec64 source=n_a318da479cf3 edge_type=refutes target=n_84acc4d9b20e\nt=0031 ADD_EDGE edge_id=e_05b1831a4bd5 source=n_6867694e4080 edge_type=supports target=n_7f06f39fa20f\nt=0032 ADD_EDGE edge_id=e_c55e632408a2 source=n_7f06f39fa20f edge_type=supports target=n_1bffb20936c0\nt=0033 ADD_EDGE edge_id=e_43cd56acfa6a source=n_7f06f39fa20f edge_type=supports target=n_d3c9aa07fc83\nt=0034 ADD_EDGE edge_id=e_1b41c75b5093 source=n_f3b566939557 edge_type=refutes target=n_cc1885ba9f66\nt=0035 QUERY source=n_e210b76f2a34 target=n_cc1885ba9f66\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1747,"provenance":{"base_record_id":"train-d04-003","dataset":"livegraph-deterministic-parity-v3","depth":4,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d04-003","split":"train","variant":"clean"},"record_seed":959551404963249183,"render_sha256":"a542e39b868e61f2d2d8c7f64bcbccfb1e9f3f1824c746b1c3a986a5010ec93c","representation":"linear_trace","semantic_sha256":"d8fcec75fe360358c68d686068d6b8f37c703bf3c6ec910dff20e67cfc094188"}
{"char_count":3230,"item_id":"train-d04-004::linear_trace","label":"TRUE","lexical_token_proxy_count":556,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_3cff0931f90c node_type=claim\nt=0001 CREATE_NODE id=n_db149c2566df node_type=claim\nt=0002 CREATE_NODE id=n_c954c0771428 node_type=claim\nt=0003 CREATE_NODE id=n_a64afc4ca94b node_type=claim\nt=0004 CREATE_NODE id=n_208357b3aa9b node_type=claim\nt=0005 CREATE_NODE id=n_c32bfaba2886 node_type=claim\nt=0006 CREATE_NODE id=n_9bdad5da808d node_type=claim\nt=0007 CREATE_NODE id=n_f2cacafd9e13 node_type=claim\nt=0008 CREATE_NODE id=n_ffe2ca6ac0ce node_type=claim\nt=0009 CREATE_NODE id=n_a5d428dd046e node_type=claim\nt=0010 CREATE_NODE id=n_88eb6824000e node_type=claim\nt=0011 CREATE_NODE id=n_39456de24afe node_type=claim\nt=0012 CREATE_NODE id=n_861c2355961a node_type=claim\nt=0013 CREATE_NODE id=n_171b29b4e3d8 node_type=claim\nt=0014 CREATE_NODE id=n_391ecfc68cd8 node_type=claim\nt=0015 CREATE_NODE id=n_c72a819cce0f node_type=claim\nt=0016 CREATE_NODE id=n_c41b4d80619c node_type=claim\nt=0017 CREATE_NODE id=n_ca2ce913a57e node_type=claim\nt=0018 ASSERT_ROOT node=n_f2cacafd9e13 value=TRUE\nt=0019 ADD_EDGE edge_id=e_958bf3fbaca4 source=n_861c2355961a edge_type=supports target=n_a5d428dd046e\nt=0020 ADD_EDGE edge_id=e_3a4cc7aa5293 source=n_208357b3aa9b edge_type=refutes target=n_a64afc4ca94b\nt=0021 ADD_EDGE edge_id=e_2e993eed0ad2 source=n_9bdad5da808d edge_type=refutes target=n_88eb6824000e\nt=0022 ADD_EDGE edge_id=e_48c4a30f24e1 source=n_391ecfc68cd8 edge_type=supports target=n_c954c0771428\nt=0023 ADD_EDGE edge_id=e_90ead3e9a68a source=n_db149c2566df edge_type=supports target=n_c72a819cce0f\nt=0024 ADD_EDGE edge_id=e_397acd7c1600 source=n_9bdad5da808d edge_type=supports target=n_171b29b4e3d8\nt=0025 ADD_EDGE edge_id=e_baffd9ee3924 source=n_391ecfc68cd8 edge_type=refutes target=n_ffe2ca6ac0ce\nt=0026 ADD_EDGE edge_id=e_67b81f90807f source=n_9bdad5da808d edge_type=refutes target=n_c32bfaba2886\nt=0027 ADD_EDGE edge_id=e_2f71fc103f35 source=n_208357b3aa9b edge_type=supports target=n_c41b4d80619c\nt=0028 ADD_EDGE edge_id=e_e882a2b8b2cb source=n_861c2355961a edge_type=supports target=n_3cff0931f90c\nt=0029 ADD_EDGE edge_id=e_90dff9bf1724 source=n_a5d428dd046e edge_type=refutes target=n_39456de24afe\nt=0030 ADD_EDGE edge_id=e_7108a4fbe04f source=n_391ecfc68cd8 edge_type=refutes target=n_208357b3aa9b\nt=0031 ADD_EDGE edge_id=e_26b73407c8a1 source=n_c32bfaba2886 edge_type=refutes target=n_861c2355961a\nt=0032 ADD_EDGE edge_id=e_f3ae757721a1 source=n_f2cacafd9e13 edge_type=supports target=n_9bdad5da808d\nt=0033 ADD_EDGE edge_id=e_cd9c3fb7439d source=n_208357b3aa9b edge_type=supports target=n_ca2ce913a57e\nt=0034 ADD_EDGE edge_id=e_d816c35fc44e source=n_c954c0771428 edge_type=refutes target=n_db149c2566df\nt=0035 QUERY source=n_f2cacafd9e13 target=n_a5d428dd046e\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1684,"provenance":{"base_record_id":"train-d04-004","dataset":"livegraph-deterministic-parity-v3","depth":4,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d04-004","split":"train","variant":"clean"},"record_seed":1118946888693248,"render_sha256":"83d9f1e076f07bc18c624f32b9fddc826814287dc4f4ec023b3caf9380422e7c","representation":"linear_trace","semantic_sha256":"0c5f2e44970ef9a8bf37ddc65aa228e8eb6653291ba93c0814d41210fc13ae10"}
{"char_count":3230,"item_id":"train-d04-005::linear_trace","label":"FALSE","lexical_token_proxy_count":556,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_edaf74433e02 node_type=claim\nt=0001 CREATE_NODE id=n_495615619149 node_type=claim\nt=0002 CREATE_NODE id=n_2e927475f3c0 node_type=claim\nt=0003 CREATE_NODE id=n_689d53e692da node_type=claim\nt=0004 CREATE_NODE id=n_44ed47e43404 node_type=claim\nt=0005 CREATE_NODE id=n_c12acf452a51 node_type=claim\nt=0006 CREATE_NODE id=n_f0734d4d9fc0 node_type=claim\nt=0007 CREATE_NODE id=n_3f6c25e56239 node_type=claim\nt=0008 CREATE_NODE id=n_9fb0a2c5343b node_type=claim\nt=0009 CREATE_NODE id=n_c5f43a1f5376 node_type=claim\nt=0010 CREATE_NODE id=n_3f5c1bf55b70 node_type=claim\nt=0011 CREATE_NODE id=n_d77df1574883 node_type=claim\nt=0012 CREATE_NODE id=n_29820d6b11b0 node_type=claim\nt=0013 CREATE_NODE id=n_4b657b0e56bf node_type=claim\nt=0014 CREATE_NODE id=n_15d64339f2f8 node_type=claim\nt=0015 CREATE_NODE id=n_6fe25fa51d11 node_type=claim\nt=0016 CREATE_NODE id=n_40c6fc0e1fcc node_type=claim\nt=0017 CREATE_NODE id=n_be620c73f4a3 node_type=claim\nt=0018 ASSERT_ROOT node=n_3f6c25e56239 value=TRUE\nt=0019 ADD_EDGE edge_id=e_aecefcd829a7 source=n_9fb0a2c5343b edge_type=supports target=n_40c6fc0e1fcc\nt=0020 ADD_EDGE edge_id=e_2046b73dfae4 source=n_3f6c25e56239 edge_type=refutes target=n_c5f43a1f5376\nt=0021 ADD_EDGE edge_id=e_7143fe1a6e38 source=n_3f6c25e56239 edge_type=supports target=n_6fe25fa51d11\nt=0022 ADD_EDGE edge_id=e_cc9fe590881d source=n_3f6c25e56239 edge_type=refutes target=n_c12acf452a51\nt=0023 ADD_EDGE edge_id=e_6d64539ded6a source=n_40c6fc0e1fcc edge_type=supports target=n_44ed47e43404\nt=0024 ADD_EDGE edge_id=e_97949a747c85 source=n_edaf74433e02 edge_type=refutes target=n_be620c73f4a3\nt=0025 ADD_EDGE edge_id=e_24509091fa80 source=n_40c6fc0e1fcc edge_type=supports target=n_2e927475f3c0\nt=0026 ADD_EDGE edge_id=e_4c3c8b9a3bf6 source=n_c5f43a1f5376 edge_type=refutes target=n_f0734d4d9fc0\nt=0027 ADD_EDGE edge_id=e_1bb8badcec47 source=n_f0734d4d9fc0 edge_type=supports target=n_edaf74433e02\nt=0028 ADD_EDGE edge_id=e_21240ed33368 source=n_c5f43a1f5376 edge_type=refutes target=n_689d53e692da\nt=0029 ADD_EDGE edge_id=e_129e9cc6e988 source=n_29820d6b11b0 edge_type=supports target=n_3f5c1bf55b70\nt=0030 ADD_EDGE edge_id=e_8fb42d76d390 source=n_29820d6b11b0 edge_type=refutes target=n_4b657b0e56bf\nt=0031 ADD_EDGE edge_id=e_31f381424986 source=n_40c6fc0e1fcc edge_type=refutes target=n_495615619149\nt=0032 ADD_EDGE edge_id=e_b6c3f9d8433c source=n_9fb0a2c5343b edge_type=refutes target=n_29820d6b11b0\nt=0033 ADD_EDGE edge_id=e_1e9f8157f8c7 source=n_3f6c25e56239 edge_type=supports target=n_15d64339f2f8\nt=0034 ADD_EDGE edge_id=e_f143d10d8406 source=n_40c6fc0e1fcc edge_type=supports target=n_d77df1574883\nt=0035 QUERY source=n_3f6c25e56239 target=n_be620c73f4a3\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1740,"provenance":{"base_record_id":"train-d04-005","dataset":"livegraph-deterministic-parity-v3","depth":4,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d04-005","split":"train","variant":"clean"},"record_seed":1117626152080659877,"render_sha256":"277ed663f87b8284211e6f88499fcb03e21e67818ce639e1e988c65186e73b96","representation":"linear_trace","semantic_sha256":"07a04bcfd2f1073d6f173d96537e59aa1377eac1d95a3e5781fe42271da79914"}
{"char_count":3231,"item_id":"train-d04-006::linear_trace","label":"TRUE","lexical_token_proxy_count":556,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_ec9da19e44f5 node_type=claim\nt=0001 CREATE_NODE id=n_61de27ef0019 node_type=claim\nt=0002 CREATE_NODE id=n_2f874cbf386d node_type=claim\nt=0003 CREATE_NODE id=n_53dfe1832dc5 node_type=claim\nt=0004 CREATE_NODE id=n_4a69d690fd4e node_type=claim\nt=0005 CREATE_NODE id=n_b5b2e0e5c4e5 node_type=claim\nt=0006 CREATE_NODE id=n_592f1116ca1e node_type=claim\nt=0007 CREATE_NODE id=n_234bf6071d9c node_type=claim\nt=0008 CREATE_NODE id=n_70cfadefe4a9 node_type=claim\nt=0009 CREATE_NODE id=n_25a82240a10a node_type=claim\nt=0010 CREATE_NODE id=n_a83f6586e9a5 node_type=claim\nt=0011 CREATE_NODE id=n_972968d468a9 node_type=claim\nt=0012 CREATE_NODE id=n_501089d37fbb node_type=claim\nt=0013 CREATE_NODE id=n_64257daada5d node_type=claim\nt=0014 CREATE_NODE id=n_6b20f10534f5 node_type=claim\nt=0015 CREATE_NODE id=n_e4dea0ed3ca1 node_type=claim\nt=0016 CREATE_NODE id=n_cf7998fd065a node_type=claim\nt=0017 CREATE_NODE id=n_13a02aacacd3 node_type=claim\nt=0018 ASSERT_ROOT node=n_64257daada5d value=FALSE\nt=0019 ADD_EDGE edge_id=e_dd751531fb64 source=n_592f1116ca1e edge_type=supports target=n_e4dea0ed3ca1\nt=0020 ADD_EDGE edge_id=e_19b357d103ad source=n_64257daada5d edge_type=supports target=n_2f874cbf386d\nt=0021 ADD_EDGE edge_id=e_ab1fe80026da source=n_972968d468a9 edge_type=refutes target=n_501089d37fbb\nt=0022 ADD_EDGE edge_id=e_11c92118e6f9 source=n_70cfadefe4a9 edge_type=supports target=n_6b20f10534f5\nt=0023 ADD_EDGE edge_id=e_d7b724729b64 source=n_25a82240a10a edge_type=supports target=n_70cfadefe4a9\nt=0024 ADD_EDGE edge_id=e_497966110cf2 source=n_cf7998fd065a edge_type=refutes target=n_4a69d690fd4e\nt=0025 ADD_EDGE edge_id=e_d3f6f88486d3 source=n_61de27ef0019 edge_type=refutes target=n_ec9da19e44f5\nt=0026 ADD_EDGE edge_id=e_e28181b847e9 source=n_4a69d690fd4e edge_type=refutes target=n_a83f6586e9a5\nt=0027 ADD_EDGE edge_id=e_d52c298f1e0c source=n_64257daada5d edge_type=refutes target=n_234bf6071d9c\nt=0028 ADD_EDGE edge_id=e_fd6e529c44a2 source=n_cf7998fd065a edge_type=supports target=n_592f1116ca1e\nt=0029 ADD_EDGE edge_id=e_8b1617f2431b source=n_61de27ef0019 edge_type=refutes target=n_53dfe1832dc5\nt=0030 ADD_EDGE edge_id=e_258e5ffc0d17 source=n_64257daada5d edge_type=supports target=n_972968d468a9\nt=0031 ADD_EDGE edge_id=e_1a428dc0440f source=n_cf7998fd065a edge_type=supports target=n_25a82240a10a\nt=0032 ADD_EDGE edge_id=e_9a9e14a57ddb source=n_e4dea0ed3ca1 edge_type=refutes target=n_13a02aacacd3\nt=0033 ADD_EDGE edge_id=e_710f5ffcbb2f source=n_64257daada5d edge_type=supports target=n_b5b2e0e5c4e5\nt=0034 ADD_EDGE edge_id=e_1e76a1eabcec source=n_501089d37fbb edge_type=refutes target=n_61de27ef0019\nt=0035 QUERY source=n_64257daada5d target=n_ec9da19e44f5\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1696,"provenance":{"base_record_id":"train-d04-006","dataset":"livegraph-deterministic-parity-v3","depth":4,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d04-006","split":"train","variant":"clean"},"record_seed":61422378795066998,"render_sha256":"d68ccf0e03c5114144022d2be62a85d3a2d201e859af24db3bcf092fa0cdab12","representation":"linear_trace","semantic_sha256":"beecb1b6d39ae8a58769efaba5b5bacd9d845f68c8576823c171a38fc84a0d1a"}
{"char_count":3231,"item_id":"train-d04-007::linear_trace","label":"FALSE","lexical_token_proxy_count":556,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_141c1c52d774 node_type=claim\nt=0001 CREATE_NODE id=n_31ee65972ead node_type=claim\nt=0002 CREATE_NODE id=n_b6ad9f58b70d node_type=claim\nt=0003 CREATE_NODE id=n_d8934c7d006f node_type=claim\nt=0004 CREATE_NODE id=n_2c307a80f7b4 node_type=claim\nt=0005 CREATE_NODE id=n_eb4b232f18ba node_type=claim\nt=0006 CREATE_NODE id=n_7dfcda364fba node_type=claim\nt=0007 CREATE_NODE id=n_6777eb7ae30e node_type=claim\nt=0008 CREATE_NODE id=n_3745ceb1f8db node_type=claim\nt=0009 CREATE_NODE id=n_57d0db762daa node_type=claim\nt=0010 CREATE_NODE id=n_1866587c236e node_type=claim\nt=0011 CREATE_NODE id=n_8c683f60f2b0 node_type=claim\nt=0012 CREATE_NODE id=n_d717b9b6a8b0 node_type=claim\nt=0013 CREATE_NODE id=n_f9727acb440c node_type=claim\nt=0014 CREATE_NODE id=n_84597b2c5a8a node_type=claim\nt=0015 CREATE_NODE id=n_bacf00915169 node_type=claim\nt=0016 CREATE_NODE id=n_12a33297c162 node_type=claim\nt=0017 CREATE_NODE id=n_6d3c0a9c7091 node_type=claim\nt=0018 ASSERT_ROOT node=n_eb4b232f18ba value=FALSE\nt=0019 ADD_EDGE edge_id=e_4aea60a8652d source=n_bacf00915169 edge_type=refutes target=n_6777eb7ae30e\nt=0020 ADD_EDGE edge_id=e_5c8a9d12ebab source=n_b6ad9f58b70d edge_type=refutes target=n_d717b9b6a8b0\nt=0021 ADD_EDGE edge_id=e_e8b5c0387590 source=n_2c307a80f7b4 edge_type=refutes target=n_141c1c52d774\nt=0022 ADD_EDGE edge_id=e_ce2ea605ba8d source=n_12a33297c162 edge_type=supports target=n_3745ceb1f8db\nt=0023 ADD_EDGE edge_id=e_885e6eadbbe8 source=n_3745ceb1f8db edge_type=refutes target=n_bacf00915169\nt=0024 ADD_EDGE edge_id=e_41b62f7ea2cc source=n_eb4b232f18ba edge_type=refutes target=n_7dfcda364fba\nt=0025 ADD_EDGE edge_id=e_8463cda756cd source=n_12a33297c162 edge_type=supports target=n_1866587c236e\nt=0026 ADD_EDGE edge_id=e_80ee7862b3c3 source=n_2c307a80f7b4 edge_type=supports target=n_b6ad9f58b70d\nt=0027 ADD_EDGE edge_id=e_dd29f9d81b23 source=n_12a33297c162 edge_type=refutes target=n_f9727acb440c\nt=0028 ADD_EDGE edge_id=e_a24da8c722f7 source=n_bacf00915169 edge_type=refutes target=n_31ee65972ead\nt=0029 ADD_EDGE edge_id=e_3b979c3e48bd source=n_b6ad9f58b70d edge_type=supports target=n_d8934c7d006f\nt=0030 ADD_EDGE edge_id=e_52f7cd3cfd25 source=n_31ee65972ead edge_type=supports target=n_57d0db762daa\nt=0031 ADD_EDGE edge_id=e_2919b1d1073a source=n_7dfcda364fba edge_type=refutes target=n_8c683f60f2b0\nt=0032 ADD_EDGE edge_id=e_d8364008d835 source=n_7dfcda364fba edge_type=supports target=n_2c307a80f7b4\nt=0033 ADD_EDGE edge_id=e_7249d415f95b source=n_12a33297c162 edge_type=supports target=n_6d3c0a9c7091\nt=0034 ADD_EDGE edge_id=e_eeae52a12a01 source=n_d717b9b6a8b0 edge_type=supports target=n_84597b2c5a8a\nt=0035 QUERY source=n_eb4b232f18ba target=n_d717b9b6a8b0\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1723,"provenance":{"base_record_id":"train-d04-007","dataset":"livegraph-deterministic-parity-v3","depth":4,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d04-007","split":"train","variant":"clean"},"record_seed":929130886117603445,"render_sha256":"c499ee3f20018511f4475a203d7877b74c2c5519baef700e7278fb465177093d","representation":"linear_trace","semantic_sha256":"73ac0fe2162e663271bad358f4b884c2f04e58e54fe584651adc079ae6220d7b"}
{"char_count":3230,"item_id":"train-d04-008::linear_trace","label":"TRUE","lexical_token_proxy_count":556,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_3cfbef0d356e node_type=claim\nt=0001 CREATE_NODE id=n_f92e3ff91854 node_type=claim\nt=0002 CREATE_NODE id=n_3a68055d7a06 node_type=claim\nt=0003 CREATE_NODE id=n_7470de192410 node_type=claim\nt=0004 CREATE_NODE id=n_0aa5d453890b node_type=claim\nt=0005 CREATE_NODE id=n_2d6bf505009b node_type=claim\nt=0006 CREATE_NODE id=n_50e8fd9aa448 node_type=claim\nt=0007 CREATE_NODE id=n_1844e272366e node_type=claim\nt=0008 CREATE_NODE id=n_18adc17bd69c node_type=claim\nt=0009 CREATE_NODE id=n_dbb1a416b6ff node_type=claim\nt=0010 CREATE_NODE id=n_f1c152f1f094 node_type=claim\nt=0011 CREATE_NODE id=n_20378ce87c47 node_type=claim\nt=0012 CREATE_NODE id=n_78407e5bac5f node_type=claim\nt=0013 CREATE_NODE id=n_39d5fa02cae7 node_type=claim\nt=0014 CREATE_NODE id=n_31a44eee3150 node_type=claim\nt=0015 CREATE_NODE id=n_ce9d7438309c node_type=claim\nt=0016 CREATE_NODE id=n_67b0aa2a9ba6 node_type=claim\nt=0017 CREATE_NODE id=n_c5b9aee9b73d node_type=claim\nt=0018 ASSERT_ROOT node=n_78407e5bac5f value=TRUE\nt=0019 ADD_EDGE edge_id=e_9504f4bb1257 source=n_67b0aa2a9ba6 edge_type=supports target=n_7470de192410\nt=0020 ADD_EDGE edge_id=e_277443c3a1a9 source=n_20378ce87c47 edge_type=supports target=n_3cfbef0d356e\nt=0021 ADD_EDGE edge_id=e_1e4dfcd94bcc source=n_2d6bf505009b edge_type=supports target=n_f92e3ff91854\nt=0022 ADD_EDGE edge_id=e_b455e2ce2b1a source=n_20378ce87c47 edge_type=refutes target=n_18adc17bd69c\nt=0023 ADD_EDGE edge_id=e_f5d2bb60b5b5 source=n_dbb1a416b6ff edge_type=supports target=n_0aa5d453890b\nt=0024 ADD_EDGE edge_id=e_062e62aeb5f4 source=n_78407e5bac5f edge_type=supports target=n_67b0aa2a9ba6\nt=0025 ADD_EDGE edge_id=e_ae4b37c057a3 source=n_c5b9aee9b73d edge_type=supports target=n_31a44eee3150\nt=0026 ADD_EDGE edge_id=e_7de4c97568ab source=n_3cfbef0d356e edge_type=refutes target=n_f1c152f1f094\nt=0027 ADD_EDGE edge_id=e_b62ce0c4fc7f source=n_2d6bf505009b edge_type=refutes target=n_1844e272366e\nt=0028 ADD_EDGE edge_id=e_f7057344154c source=n_f1c152f1f094 edge_type=refutes target=n_39d5fa02cae7\nt=0029 ADD_EDGE edge_id=e_92fac167e090 source=n_67b0aa2a9ba6 edge_type=refutes target=n_20378ce87c47\nt=0030 ADD_EDGE edge_id=e_a5832a782b50 source=n_c5b9aee9b73d edge_type=refutes target=n_3a68055d7a06\nt=0031 ADD_EDGE edge_id=e_e66fed4fc217 source=n_67b0aa2a9ba6 edge_type=supports target=n_ce9d7438309c\nt=0032 ADD_EDGE edge_id=e_3f2eecc12615 source=n_31a44eee3150 edge_type=refutes target=n_50e8fd9aa448\nt=0033 ADD_EDGE edge_id=e_c1af250bfebd source=n_c5b9aee9b73d edge_type=refutes target=n_dbb1a416b6ff\nt=0034 ADD_EDGE edge_id=e_66d81ebad5f6 source=n_c5b9aee9b73d edge_type=supports target=n_2d6bf505009b\nt=0035 QUERY source=n_78407e5bac5f target=n_f1c152f1f094\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1706,"provenance":{"base_record_id":"train-d04-008","dataset":"livegraph-deterministic-parity-v3","depth":4,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d04-008","split":"train","variant":"clean"},"record_seed":105940773070913282,"render_sha256":"91acb5184708ebebe686b3b793d32a4c15a32cdfbfcfc6e9f9064e4420057c1f","representation":"linear_trace","semantic_sha256":"ec1efad4d6c4bbf3b76b8e568ada673bdc2800a42b01de85a7df8373c907d3a9"}
{"char_count":3230,"item_id":"train-d04-009::linear_trace","label":"FALSE","lexical_token_proxy_count":556,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_621bfd8c127c node_type=claim\nt=0001 CREATE_NODE id=n_526caa5df9ad node_type=claim\nt=0002 CREATE_NODE id=n_2a0cf2636911 node_type=claim\nt=0003 CREATE_NODE id=n_0cfa4fc1cb49 node_type=claim\nt=0004 CREATE_NODE id=n_86dae235e59c node_type=claim\nt=0005 CREATE_NODE id=n_44270677d151 node_type=claim\nt=0006 CREATE_NODE id=n_0d1d7aca342b node_type=claim\nt=0007 CREATE_NODE id=n_f8517eb0a10f node_type=claim\nt=0008 CREATE_NODE id=n_d0ca1f4fa5d3 node_type=claim\nt=0009 CREATE_NODE id=n_36e87f50fb8d node_type=claim\nt=0010 CREATE_NODE id=n_56d5d18b3bf5 node_type=claim\nt=0011 CREATE_NODE id=n_a9cdd43c247a node_type=claim\nt=0012 CREATE_NODE id=n_9424bfd4f7be node_type=claim\nt=0013 CREATE_NODE id=n_675afbeebe37 node_type=claim\nt=0014 CREATE_NODE id=n_3137ba88a67b node_type=claim\nt=0015 CREATE_NODE id=n_ccb0512a8383 node_type=claim\nt=0016 CREATE_NODE id=n_d03a2aa6216a node_type=claim\nt=0017 CREATE_NODE id=n_39fccfe0069b node_type=claim\nt=0018 ASSERT_ROOT node=n_3137ba88a67b value=TRUE\nt=0019 ADD_EDGE edge_id=e_c8a6e0c8b2f5 source=n_3137ba88a67b edge_type=supports target=n_0cfa4fc1cb49\nt=0020 ADD_EDGE edge_id=e_7aa65b413ea1 source=n_3137ba88a67b edge_type=refutes target=n_ccb0512a8383\nt=0021 ADD_EDGE edge_id=e_3899359184fe source=n_36e87f50fb8d edge_type=refutes target=n_526caa5df9ad\nt=0022 ADD_EDGE edge_id=e_194c6afce4b0 source=n_0cfa4fc1cb49 edge_type=refutes target=n_2a0cf2636911\nt=0023 ADD_EDGE edge_id=e_75d74cfde476 source=n_f8517eb0a10f edge_type=supports target=n_56d5d18b3bf5\nt=0024 ADD_EDGE edge_id=e_06a4054bf924 source=n_86dae235e59c edge_type=supports target=n_d03a2aa6216a\nt=0025 ADD_EDGE edge_id=e_65e8de4deb51 source=n_f8517eb0a10f edge_type=supports target=n_9424bfd4f7be\nt=0026 ADD_EDGE edge_id=e_05140aeeda3f source=n_0d1d7aca342b edge_type=refutes target=n_86dae235e59c\nt=0027 ADD_EDGE edge_id=e_1c3e57fa927d source=n_f8517eb0a10f edge_type=supports target=n_39fccfe0069b\nt=0028 ADD_EDGE edge_id=e_7f62eec4d705 source=n_526caa5df9ad edge_type=supports target=n_d0ca1f4fa5d3\nt=0029 ADD_EDGE edge_id=e_2f887e76c31a source=n_0d1d7aca342b edge_type=refutes target=n_675afbeebe37\nt=0030 ADD_EDGE edge_id=e_14e5faff868d source=n_d03a2aa6216a edge_type=refutes target=n_44270677d151\nt=0031 ADD_EDGE edge_id=e_0b9afceeb22a source=n_526caa5df9ad edge_type=refutes target=n_a9cdd43c247a\nt=0032 ADD_EDGE edge_id=e_0423a55fa743 source=n_0d1d7aca342b edge_type=refutes target=n_f8517eb0a10f\nt=0033 ADD_EDGE edge_id=e_47b820e47f1c source=n_0cfa4fc1cb49 edge_type=supports target=n_621bfd8c127c\nt=0034 ADD_EDGE edge_id=e_50f9059806b5 source=n_621bfd8c127c edge_type=supports target=n_36e87f50fb8d\nt=0035 QUERY source=n_3137ba88a67b target=n_526caa5df9ad\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1694,"provenance":{"base_record_id":"train-d04-009","dataset":"livegraph-deterministic-parity-v3","depth":4,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d04-009","split":"train","variant":"clean"},"record_seed":43692166451315039,"render_sha256":"f5f936ed8dcf7a3a8fdff346171b55063dfa9e7a4a736fc768e0a50a677bc3df","representation":"linear_trace","semantic_sha256":"f5deee44e74b4aff595572841016e0330ae991925e62ece651c88bddbca0f04e"}
{"char_count":3231,"item_id":"train-d04-010::linear_trace","label":"TRUE","lexical_token_proxy_count":556,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_558e60ef267a node_type=claim\nt=0001 CREATE_NODE id=n_18b52224f190 node_type=claim\nt=0002 CREATE_NODE id=n_76c2cb3b71f8 node_type=claim\nt=0003 CREATE_NODE id=n_b4c9f483b673 node_type=claim\nt=0004 CREATE_NODE id=n_3e417beb0286 node_type=claim\nt=0005 CREATE_NODE id=n_97f26f131372 node_type=claim\nt=0006 CREATE_NODE id=n_20c5de22c975 node_type=claim\nt=0007 CREATE_NODE id=n_865301f4b65d node_type=claim\nt=0008 CREATE_NODE id=n_8344733c2b13 node_type=claim\nt=0009 CREATE_NODE id=n_425fdd819ba0 node_type=claim\nt=0010 CREATE_NODE id=n_9cf612a8e4dd node_type=claim\nt=0011 CREATE_NODE id=n_90b26b140144 node_type=claim\nt=0012 CREATE_NODE id=n_112e6bb3894d node_type=claim\nt=0013 CREATE_NODE id=n_3557a900ebc4 node_type=claim\nt=0014 CREATE_NODE id=n_3448e3c70fa5 node_type=claim\nt=0015 CREATE_NODE id=n_1ce783e30a9a node_type=claim\nt=0016 CREATE_NODE id=n_104825a1faf7 node_type=claim\nt=0017 CREATE_NODE id=n_7da8756c534e node_type=claim\nt=0018 ASSERT_ROOT node=n_425fdd819ba0 value=FALSE\nt=0019 ADD_EDGE edge_id=e_dcfe05f4900b source=n_865301f4b65d edge_type=refutes target=n_18b52224f190\nt=0020 ADD_EDGE edge_id=e_d324a4b3d1fe source=n_3448e3c70fa5 edge_type=refutes target=n_112e6bb3894d\nt=0021 ADD_EDGE edge_id=e_b3f53f1be443 source=n_97f26f131372 edge_type=refutes target=n_558e60ef267a\nt=0022 ADD_EDGE edge_id=e_53bc2230c894 source=n_1ce783e30a9a edge_type=refutes target=n_7da8756c534e\nt=0023 ADD_EDGE edge_id=e_956e4157fa8e source=n_3448e3c70fa5 edge_type=refutes target=n_8344733c2b13\nt=0024 ADD_EDGE edge_id=e_a67b1d0cbf93 source=n_3e417beb0286 edge_type=supports target=n_3557a900ebc4\nt=0025 ADD_EDGE edge_id=e_06a40beddd97 source=n_425fdd819ba0 edge_type=supports target=n_3e417beb0286\nt=0026 ADD_EDGE edge_id=e_65fbf5fcfd5f source=n_1ce783e30a9a edge_type=supports target=n_865301f4b65d\nt=0027 ADD_EDGE edge_id=e_9b5567e7548e source=n_104825a1faf7 edge_type=refutes target=n_76c2cb3b71f8\nt=0028 ADD_EDGE edge_id=e_e76e244a6351 source=n_3448e3c70fa5 edge_type=refutes target=n_9cf612a8e4dd\nt=0029 ADD_EDGE edge_id=e_f4a8b778eec5 source=n_3e417beb0286 edge_type=refutes target=n_104825a1faf7\nt=0030 ADD_EDGE edge_id=e_abd554ebf8e5 source=n_9cf612a8e4dd edge_type=supports target=n_90b26b140144\nt=0031 ADD_EDGE edge_id=e_69d9bc237adf source=n_20c5de22c975 edge_type=supports target=n_97f26f131372\nt=0032 ADD_EDGE edge_id=e_f41a4978643d source=n_104825a1faf7 edge_type=supports target=n_20c5de22c975\nt=0033 ADD_EDGE edge_id=e_811345f042ab source=n_3448e3c70fa5 edge_type=supports target=n_1ce783e30a9a\nt=0034 ADD_EDGE edge_id=e_22a813624518 source=n_97f26f131372 edge_type=supports target=n_b4c9f483b673\nt=0035 QUERY source=n_425fdd819ba0 target=n_97f26f131372\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1734,"provenance":{"base_record_id":"train-d04-010","dataset":"livegraph-deterministic-parity-v3","depth":4,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d04-010","split":"train","variant":"clean"},"record_seed":344694704282963402,"render_sha256":"1a4138cc8bd69aee2971dfeb9fabac1109f0c67b0dc0c99ccf0f1d9de19144c7","representation":"linear_trace","semantic_sha256":"d297e8e032d749b32011fa8e7b433a7474213bcf28bf7cc1d1f595d697020ba2"}
{"char_count":3231,"item_id":"train-d04-011::linear_trace","label":"FALSE","lexical_token_proxy_count":556,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_76c8d45449d9 node_type=claim\nt=0001 CREATE_NODE id=n_e59d9786f2e2 node_type=claim\nt=0002 CREATE_NODE id=n_9a4a1abfea1b node_type=claim\nt=0003 CREATE_NODE id=n_dad7e15e3518 node_type=claim\nt=0004 CREATE_NODE id=n_57c104ba3a09 node_type=claim\nt=0005 CREATE_NODE id=n_1ae010a05e3e node_type=claim\nt=0006 CREATE_NODE id=n_b0020c334aad node_type=claim\nt=0007 CREATE_NODE id=n_5aca78a0f45c node_type=claim\nt=0008 CREATE_NODE id=n_9816674d8260 node_type=claim\nt=0009 CREATE_NODE id=n_d7144181a6b8 node_type=claim\nt=0010 CREATE_NODE id=n_8bb774f35c22 node_type=claim\nt=0011 CREATE_NODE id=n_bbbdf04bdff9 node_type=claim\nt=0012 CREATE_NODE id=n_caa4ad42e34a node_type=claim\nt=0013 CREATE_NODE id=n_7f87e211356d node_type=claim\nt=0014 CREATE_NODE id=n_079fd5aade65 node_type=claim\nt=0015 CREATE_NODE id=n_925d50b1f5f4 node_type=claim\nt=0016 CREATE_NODE id=n_8de6173bbf45 node_type=claim\nt=0017 CREATE_NODE id=n_c09b34421afb node_type=claim\nt=0018 ASSERT_ROOT node=n_1ae010a05e3e value=FALSE\nt=0019 ADD_EDGE edge_id=e_e2b57f070114 source=n_c09b34421afb edge_type=refutes target=n_d7144181a6b8\nt=0020 ADD_EDGE edge_id=e_e280d3bf9cd3 source=n_079fd5aade65 edge_type=refutes target=n_76c8d45449d9\nt=0021 ADD_EDGE edge_id=e_a173067e14ce source=n_8bb774f35c22 edge_type=refutes target=n_925d50b1f5f4\nt=0022 ADD_EDGE edge_id=e_66c91a2679e6 source=n_dad7e15e3518 edge_type=refutes target=n_079fd5aade65\nt=0023 ADD_EDGE edge_id=e_77f8f5118c48 source=n_5aca78a0f45c edge_type=supports target=n_9816674d8260\nt=0024 ADD_EDGE edge_id=e_faab37b17eb8 source=n_b0020c334aad edge_type=supports target=n_5aca78a0f45c\nt=0025 ADD_EDGE edge_id=e_c53a2fed8f77 source=n_8bb774f35c22 edge_type=refutes target=n_9a4a1abfea1b\nt=0026 ADD_EDGE edge_id=e_080b229f3008 source=n_57c104ba3a09 edge_type=refutes target=n_dad7e15e3518\nt=0027 ADD_EDGE edge_id=e_cf6db93ced1c source=n_1ae010a05e3e edge_type=supports target=n_57c104ba3a09\nt=0028 ADD_EDGE edge_id=e_86652aa8e5f0 source=n_57c104ba3a09 edge_type=supports target=n_caa4ad42e34a\nt=0029 ADD_EDGE edge_id=e_a7cd5b78cd58 source=n_c09b34421afb edge_type=supports target=n_8bb774f35c22\nt=0030 ADD_EDGE edge_id=e_fa900e8920f1 source=n_5aca78a0f45c edge_type=supports target=n_c09b34421afb\nt=0031 ADD_EDGE edge_id=e_10bac6c1a5cf source=n_57c104ba3a09 edge_type=supports target=n_7f87e211356d\nt=0032 ADD_EDGE edge_id=e_de74d9a07a9d source=n_8bb774f35c22 edge_type=refutes target=n_e59d9786f2e2\nt=0033 ADD_EDGE edge_id=e_5d32d6132fa1 source=n_57c104ba3a09 edge_type=refutes target=n_bbbdf04bdff9\nt=0034 ADD_EDGE edge_id=e_3d54b5817325 source=n_079fd5aade65 edge_type=supports target=n_8de6173bbf45\nt=0035 QUERY source=n_1ae010a05e3e target=n_8de6173bbf45\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1708,"provenance":{"base_record_id":"train-d04-011","dataset":"livegraph-deterministic-parity-v3","depth":4,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d04-011","split":"train","variant":"clean"},"record_seed":55810916660986280,"render_sha256":"65d2e22df41c7252c824d56391678b57eea61322d8acc1a07be3c439175ca116","representation":"linear_trace","semantic_sha256":"cac675faf33e0edcca022ed772f0d657049c2356252f7bc6939120175599815a"}
{"char_count":3230,"item_id":"train-d04-012::linear_trace","label":"TRUE","lexical_token_proxy_count":556,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_ce81cf977e9f node_type=claim\nt=0001 CREATE_NODE id=n_76898811d33e node_type=claim\nt=0002 CREATE_NODE id=n_3883e7093ed8 node_type=claim\nt=0003 CREATE_NODE id=n_4ae06b70c690 node_type=claim\nt=0004 CREATE_NODE id=n_7ba34307440a node_type=claim\nt=0005 CREATE_NODE id=n_ab37e1bd5e07 node_type=claim\nt=0006 CREATE_NODE id=n_5b7f661a332e node_type=claim\nt=0007 CREATE_NODE id=n_2ec62d6cccc3 node_type=claim\nt=0008 CREATE_NODE id=n_00ec00fbd52c node_type=claim\nt=0009 CREATE_NODE id=n_f13f5b9eafb2 node_type=claim\nt=0010 CREATE_NODE id=n_f5b43839e3fe node_type=claim\nt=0011 CREATE_NODE id=n_e4426bca30b9 node_type=claim\nt=0012 CREATE_NODE id=n_41e2e00a41bc node_type=claim\nt=0013 CREATE_NODE id=n_8194429744e8 node_type=claim\nt=0014 CREATE_NODE id=n_3c417db3b852 node_type=claim\nt=0015 CREATE_NODE id=n_a0ec38bf284c node_type=claim\nt=0016 CREATE_NODE id=n_d5a309a19149 node_type=claim\nt=0017 CREATE_NODE id=n_f797c2e25355 node_type=claim\nt=0018 ASSERT_ROOT node=n_f13f5b9eafb2 value=TRUE\nt=0019 ADD_EDGE edge_id=e_f2b1efe51982 source=n_3c417db3b852 edge_type=supports target=n_8194429744e8\nt=0020 ADD_EDGE edge_id=e_16e1aa9fd789 source=n_7ba34307440a edge_type=supports target=n_a0ec38bf284c\nt=0021 ADD_EDGE edge_id=e_81db488f1e80 source=n_2ec62d6cccc3 edge_type=refutes target=n_ce81cf977e9f\nt=0022 ADD_EDGE edge_id=e_37b94620c746 source=n_f5b43839e3fe edge_type=refutes target=n_7ba34307440a\nt=0023 ADD_EDGE edge_id=e_ccafd31215d2 source=n_f13f5b9eafb2 edge_type=supports target=n_5b7f661a332e\nt=0024 ADD_EDGE edge_id=e_137baed4cd61 source=n_3883e7093ed8 edge_type=supports target=n_2ec62d6cccc3\nt=0025 ADD_EDGE edge_id=e_fe89f14931a6 source=n_3883e7093ed8 edge_type=refutes target=n_76898811d33e\nt=0026 ADD_EDGE edge_id=e_cdd9d1522242 source=n_8194429744e8 edge_type=refutes target=n_4ae06b70c690\nt=0027 ADD_EDGE edge_id=e_180002bcd057 source=n_f797c2e25355 edge_type=supports target=n_e4426bca30b9\nt=0028 ADD_EDGE edge_id=e_3efc70d0b65f source=n_3883e7093ed8 edge_type=supports target=n_00ec00fbd52c\nt=0029 ADD_EDGE edge_id=e_24d25eb7f02e source=n_f13f5b9eafb2 edge_type=refutes target=n_f797c2e25355\nt=0030 ADD_EDGE edge_id=e_9117ecc1c977 source=n_7ba34307440a edge_type=refutes target=n_41e2e00a41bc\nt=0031 ADD_EDGE edge_id=e_aa646fb36113 source=n_00ec00fbd52c edge_type=supports target=n_ab37e1bd5e07\nt=0032 ADD_EDGE edge_id=e_eac7fdcd08ed source=n_f797c2e25355 edge_type=refutes target=n_d5a309a19149\nt=0033 ADD_EDGE edge_id=e_5226a7fc7aa7 source=n_d5a309a19149 edge_type=refutes target=n_f5b43839e3fe\nt=0034 ADD_EDGE edge_id=e_b4979b5f62a5 source=n_3883e7093ed8 edge_type=supports target=n_3c417db3b852\nt=0035 QUERY source=n_f13f5b9eafb2 target=n_7ba34307440a\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1722,"provenance":{"base_record_id":"train-d04-012","dataset":"livegraph-deterministic-parity-v3","depth":4,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d04-012","split":"train","variant":"clean"},"record_seed":136670418951914183,"render_sha256":"80d1ba5ce63999f4b33d918582896ceb2fdbb57899a4d7062fa7999d750412bb","representation":"linear_trace","semantic_sha256":"c12be8af781fe7194ef945bfc1a5dcb7da7288450569d73d7fad58237e390649"}
{"char_count":3230,"item_id":"train-d04-013::linear_trace","label":"FALSE","lexical_token_proxy_count":556,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_d57de91023ca node_type=claim\nt=0001 CREATE_NODE id=n_ff17496396bc node_type=claim\nt=0002 CREATE_NODE id=n_49dd11d02b2b node_type=claim\nt=0003 CREATE_NODE id=n_ff57a28ad0e5 node_type=claim\nt=0004 CREATE_NODE id=n_e410f34241f2 node_type=claim\nt=0005 CREATE_NODE id=n_33656ab2233d node_type=claim\nt=0006 CREATE_NODE id=n_fc276ae26da1 node_type=claim\nt=0007 CREATE_NODE id=n_26374895ed67 node_type=claim\nt=0008 CREATE_NODE id=n_d25d732829a6 node_type=claim\nt=0009 CREATE_NODE id=n_447bff1939a8 node_type=claim\nt=0010 CREATE_NODE id=n_904b30bdf992 node_type=claim\nt=0011 CREATE_NODE id=n_a040421ae89b node_type=claim\nt=0012 CREATE_NODE id=n_926dd19d06cf node_type=claim\nt=0013 CREATE_NODE id=n_b157685ab290 node_type=claim\nt=0014 CREATE_NODE id=n_7d6325f47f7e node_type=claim\nt=0015 CREATE_NODE id=n_3f0c10a1aca4 node_type=claim\nt=0016 CREATE_NODE id=n_4a8fbf7220de node_type=claim\nt=0017 CREATE_NODE id=n_c4c83c4bac60 node_type=claim\nt=0018 ASSERT_ROOT node=n_ff57a28ad0e5 value=TRUE\nt=0019 ADD_EDGE edge_id=e_63aa60ff83e6 source=n_d57de91023ca edge_type=refutes target=n_d25d732829a6\nt=0020 ADD_EDGE edge_id=e_ebc4c790b80a source=n_33656ab2233d edge_type=supports target=n_49dd11d02b2b\nt=0021 ADD_EDGE edge_id=e_07082d555778 source=n_33656ab2233d edge_type=supports target=n_904b30bdf992\nt=0022 ADD_EDGE edge_id=e_907055fa4ef1 source=n_ff57a28ad0e5 edge_type=refutes target=n_ff17496396bc\nt=0023 ADD_EDGE edge_id=e_d3fee7923186 source=n_c4c83c4bac60 edge_type=refutes target=n_d57de91023ca\nt=0024 ADD_EDGE edge_id=e_b75be17cb037 source=n_926dd19d06cf edge_type=refutes target=n_c4c83c4bac60\nt=0025 ADD_EDGE edge_id=e_96f02d250459 source=n_447bff1939a8 edge_type=refutes target=n_26374895ed67\nt=0026 ADD_EDGE edge_id=e_51b16cfc2891 source=n_c4c83c4bac60 edge_type=supports target=n_4a8fbf7220de\nt=0027 ADD_EDGE edge_id=e_4fc02c27e6df source=n_ff57a28ad0e5 edge_type=supports target=n_fc276ae26da1\nt=0028 ADD_EDGE edge_id=e_1d62a54e4217 source=n_926dd19d06cf edge_type=supports target=n_3f0c10a1aca4\nt=0029 ADD_EDGE edge_id=e_5006bd2a584f source=n_447bff1939a8 edge_type=refutes target=n_e410f34241f2\nt=0030 ADD_EDGE edge_id=e_186bea7eb7f8 source=n_ff57a28ad0e5 edge_type=supports target=n_447bff1939a8\nt=0031 ADD_EDGE edge_id=e_84d2f7c4818f source=n_d57de91023ca edge_type=supports target=n_a040421ae89b\nt=0032 ADD_EDGE edge_id=e_da2c31fe0024 source=n_a040421ae89b edge_type=refutes target=n_b157685ab290\nt=0033 ADD_EDGE edge_id=e_eff716cae1dc source=n_a040421ae89b edge_type=refutes target=n_7d6325f47f7e\nt=0034 ADD_EDGE edge_id=e_c59881d9d1e7 source=n_e410f34241f2 edge_type=supports target=n_33656ab2233d\nt=0035 QUERY source=n_ff57a28ad0e5 target=n_49dd11d02b2b\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1707,"provenance":{"base_record_id":"train-d04-013","dataset":"livegraph-deterministic-parity-v3","depth":4,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d04-013","split":"train","variant":"clean"},"record_seed":120955632491444501,"render_sha256":"92230945f00a392c7533abd6187c9375df96da57aaf7c5777027460f8fa500e2","representation":"linear_trace","semantic_sha256":"8c494354b65a51fe3e10783573d5773d1ce293ec7a92475b7d7cd2499755d31d"}
{"char_count":3231,"item_id":"train-d04-014::linear_trace","label":"TRUE","lexical_token_proxy_count":556,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_132eca848375 node_type=claim\nt=0001 CREATE_NODE id=n_d47fd787594b node_type=claim\nt=0002 CREATE_NODE id=n_f1086219c388 node_type=claim\nt=0003 CREATE_NODE id=n_c3de5cffe7d3 node_type=claim\nt=0004 CREATE_NODE id=n_630c7408504b node_type=claim\nt=0005 CREATE_NODE id=n_4f8994f055a7 node_type=claim\nt=0006 CREATE_NODE id=n_5002315d5ede node_type=claim\nt=0007 CREATE_NODE id=n_ed149a0433a3 node_type=claim\nt=0008 CREATE_NODE id=n_64987a3b874f node_type=claim\nt=0009 CREATE_NODE id=n_7511cc0a8f2a node_type=claim\nt=0010 CREATE_NODE id=n_749b3d251614 node_type=claim\nt=0011 CREATE_NODE id=n_1647d27004c5 node_type=claim\nt=0012 CREATE_NODE id=n_35e293ffbec8 node_type=claim\nt=0013 CREATE_NODE id=n_d1ad5b8cba02 node_type=claim\nt=0014 CREATE_NODE id=n_bed0b8802c48 node_type=claim\nt=0015 CREATE_NODE id=n_6f843aaa6ac7 node_type=claim\nt=0016 CREATE_NODE id=n_c537fed5342a node_type=claim\nt=0017 CREATE_NODE id=n_d61eb432389b node_type=claim\nt=0018 ASSERT_ROOT node=n_d61eb432389b value=FALSE\nt=0019 ADD_EDGE edge_id=e_01166c546d9e source=n_5002315d5ede edge_type=supports target=n_d1ad5b8cba02\nt=0020 ADD_EDGE edge_id=e_85be0b34eda4 source=n_ed149a0433a3 edge_type=supports target=n_bed0b8802c48\nt=0021 ADD_EDGE edge_id=e_0339582d8173 source=n_f1086219c388 edge_type=supports target=n_1647d27004c5\nt=0022 ADD_EDGE edge_id=e_7a2cbfec4602 source=n_d1ad5b8cba02 edge_type=refutes target=n_749b3d251614\nt=0023 ADD_EDGE edge_id=e_0f5d04b80a32 source=n_bed0b8802c48 edge_type=refutes target=n_f1086219c388\nt=0024 ADD_EDGE edge_id=e_9ffc64549f9a source=n_d61eb432389b edge_type=supports target=n_ed149a0433a3\nt=0025 ADD_EDGE edge_id=e_2d9863ba4174 source=n_630c7408504b edge_type=supports target=n_d47fd787594b\nt=0026 ADD_EDGE edge_id=e_a70bb21a3db1 source=n_6f843aaa6ac7 edge_type=refutes target=n_7511cc0a8f2a\nt=0027 ADD_EDGE edge_id=e_8008d6bc8ecf source=n_4f8994f055a7 edge_type=refutes target=n_6f843aaa6ac7\nt=0028 ADD_EDGE edge_id=e_59694316f96f source=n_bed0b8802c48 edge_type=supports target=n_64987a3b874f\nt=0029 ADD_EDGE edge_id=e_bbf7a3c30f45 source=n_4f8994f055a7 edge_type=refutes target=n_132eca848375\nt=0030 ADD_EDGE edge_id=e_d9019efe19c8 source=n_5002315d5ede edge_type=refutes target=n_4f8994f055a7\nt=0031 ADD_EDGE edge_id=e_1f7649478517 source=n_f1086219c388 edge_type=supports target=n_630c7408504b\nt=0032 ADD_EDGE edge_id=e_7dc1e3274d30 source=n_5002315d5ede edge_type=supports target=n_c537fed5342a\nt=0033 ADD_EDGE edge_id=e_1774ad00a13f source=n_630c7408504b edge_type=refutes target=n_c3de5cffe7d3\nt=0034 ADD_EDGE edge_id=e_cd90d7083267 source=n_6f843aaa6ac7 edge_type=refutes target=n_35e293ffbec8\nt=0035 QUERY source=n_d61eb432389b target=n_630c7408504b\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1724,"provenance":{"base_record_id":"train-d04-014","dataset":"livegraph-deterministic-parity-v3","depth":4,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d04-014","split":"train","variant":"clean"},"record_seed":1126213614501058277,"render_sha256":"a13bee80f57021a54f8d1c1c8761f984dddebcd49bc8c6626b3e67e93c2666df","representation":"linear_trace","semantic_sha256":"8a7482c416c99581c9a264ba59e3baf24f2a3c8f720919abc8510f405ee68f32"}
{"char_count":3231,"item_id":"train-d04-015::linear_trace","label":"FALSE","lexical_token_proxy_count":556,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_c3d9bea1fd54 node_type=claim\nt=0001 CREATE_NODE id=n_55b356f4d31f node_type=claim\nt=0002 CREATE_NODE id=n_1a55ed9e877e node_type=claim\nt=0003 CREATE_NODE id=n_6cd63c3e8b7d node_type=claim\nt=0004 CREATE_NODE id=n_c341ff93e0ae node_type=claim\nt=0005 CREATE_NODE id=n_152980889897 node_type=claim\nt=0006 CREATE_NODE id=n_9368742feff1 node_type=claim\nt=0007 CREATE_NODE id=n_47d5bf184b1d node_type=claim\nt=0008 CREATE_NODE id=n_e5e671372d09 node_type=claim\nt=0009 CREATE_NODE id=n_d280ae8358d1 node_type=claim\nt=0010 CREATE_NODE id=n_741409ca420e node_type=claim\nt=0011 CREATE_NODE id=n_b6ad2aa72ce6 node_type=claim\nt=0012 CREATE_NODE id=n_8643dd17a1eb node_type=claim\nt=0013 CREATE_NODE id=n_a18aec17174a node_type=claim\nt=0014 CREATE_NODE id=n_581d2c9bb155 node_type=claim\nt=0015 CREATE_NODE id=n_3178071f428a node_type=claim\nt=0016 CREATE_NODE id=n_7346bde5a8dd node_type=claim\nt=0017 CREATE_NODE id=n_accadfcb8c1a node_type=claim\nt=0018 ASSERT_ROOT node=n_7346bde5a8dd value=FALSE\nt=0019 ADD_EDGE edge_id=e_81b558dfc8be source=n_47d5bf184b1d edge_type=supports target=n_a18aec17174a\nt=0020 ADD_EDGE edge_id=e_0ff2ccfd3694 source=n_c3d9bea1fd54 edge_type=supports target=n_9368742feff1\nt=0021 ADD_EDGE edge_id=e_53d4a44adab4 source=n_47d5bf184b1d edge_type=refutes target=n_c3d9bea1fd54\nt=0022 ADD_EDGE edge_id=e_c28e6e8f482a source=n_152980889897 edge_type=refutes target=n_55b356f4d31f\nt=0023 ADD_EDGE edge_id=e_08484f62783a source=n_7346bde5a8dd edge_type=supports target=n_47d5bf184b1d\nt=0024 ADD_EDGE edge_id=e_8c0e0068d4f1 source=n_1a55ed9e877e edge_type=supports target=n_accadfcb8c1a\nt=0025 ADD_EDGE edge_id=e_96c241f7ec51 source=n_7346bde5a8dd edge_type=supports target=n_6cd63c3e8b7d\nt=0026 ADD_EDGE edge_id=e_e01e7f1cf2bd source=n_c3d9bea1fd54 edge_type=refutes target=n_d280ae8358d1\nt=0027 ADD_EDGE edge_id=e_45c56fd3401d source=n_c341ff93e0ae edge_type=refutes target=n_1a55ed9e877e\nt=0028 ADD_EDGE edge_id=e_116628b93020 source=n_c341ff93e0ae edge_type=refutes target=n_8643dd17a1eb\nt=0029 ADD_EDGE edge_id=e_6cd9f53e6fe0 source=n_accadfcb8c1a edge_type=supports target=n_b6ad2aa72ce6\nt=0030 ADD_EDGE edge_id=e_225463ce30ba source=n_581d2c9bb155 edge_type=supports target=n_e5e671372d09\nt=0031 ADD_EDGE edge_id=e_2834ed7b68b3 source=n_152980889897 edge_type=refutes target=n_c341ff93e0ae\nt=0032 ADD_EDGE edge_id=e_efda2e201d66 source=n_c3d9bea1fd54 edge_type=refutes target=n_581d2c9bb155\nt=0033 ADD_EDGE edge_id=e_3cb8f78d5534 source=n_c341ff93e0ae edge_type=supports target=n_3178071f428a\nt=0034 ADD_EDGE edge_id=e_eac89ce77e45 source=n_3178071f428a edge_type=refutes target=n_741409ca420e\nt=0035 QUERY source=n_7346bde5a8dd target=n_e5e671372d09\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1704,"provenance":{"base_record_id":"train-d04-015","dataset":"livegraph-deterministic-parity-v3","depth":4,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d04-015","split":"train","variant":"clean"},"record_seed":698861628507343744,"render_sha256":"5779060db9a1e248d4b1b5d6d4fb4ab3973421ebc528d0f808d948d1d6f1d261","representation":"linear_trace","semantic_sha256":"7a18ebba32aaa766578f664384112240041da6f2590e1c169e35481cb94701ff"}
{"char_count":3230,"item_id":"train-d04-016::linear_trace","label":"TRUE","lexical_token_proxy_count":556,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_88fe27c0d2fe node_type=claim\nt=0001 CREATE_NODE id=n_35cc6afe6e80 node_type=claim\nt=0002 CREATE_NODE id=n_fe08f873fbfd node_type=claim\nt=0003 CREATE_NODE id=n_82c30c6d3914 node_type=claim\nt=0004 CREATE_NODE id=n_e556f1382446 node_type=claim\nt=0005 CREATE_NODE id=n_c9cd9cada946 node_type=claim\nt=0006 CREATE_NODE id=n_ff317fe67caa node_type=claim\nt=0007 CREATE_NODE id=n_9dbdb4efc5e6 node_type=claim\nt=0008 CREATE_NODE id=n_211e131e5a53 node_type=claim\nt=0009 CREATE_NODE id=n_3690a358b526 node_type=claim\nt=0010 CREATE_NODE id=n_f6378e3fb18a node_type=claim\nt=0011 CREATE_NODE id=n_123dfb525b31 node_type=claim\nt=0012 CREATE_NODE id=n_178ba3420c4f node_type=claim\nt=0013 CREATE_NODE id=n_dd4903209f30 node_type=claim\nt=0014 CREATE_NODE id=n_53fc8c6d358e node_type=claim\nt=0015 CREATE_NODE id=n_13c29335eeab node_type=claim\nt=0016 CREATE_NODE id=n_2723099592bf node_type=claim\nt=0017 CREATE_NODE id=n_885a7358a326 node_type=claim\nt=0018 ASSERT_ROOT node=n_35cc6afe6e80 value=TRUE\nt=0019 ADD_EDGE edge_id=e_f675b17da5f4 source=n_f6378e3fb18a edge_type=refutes target=n_53fc8c6d358e\nt=0020 ADD_EDGE edge_id=e_8a8de9abdb2c source=n_53fc8c6d358e edge_type=refutes target=n_82c30c6d3914\nt=0021 ADD_EDGE edge_id=e_6daf93bc099a source=n_ff317fe67caa edge_type=supports target=n_13c29335eeab\nt=0022 ADD_EDGE edge_id=e_d36b7523ca78 source=n_82c30c6d3914 edge_type=refutes target=n_2723099592bf\nt=0023 ADD_EDGE edge_id=e_cf086df0e626 source=n_53fc8c6d358e edge_type=supports target=n_211e131e5a53\nt=0024 ADD_EDGE edge_id=e_1affbc46363b source=n_e556f1382446 edge_type=supports target=n_f6378e3fb18a\nt=0025 ADD_EDGE edge_id=e_82bd01b4b1ca source=n_9dbdb4efc5e6 edge_type=refutes target=n_178ba3420c4f\nt=0026 ADD_EDGE edge_id=e_62c7b08c76d6 source=n_e556f1382446 edge_type=refutes target=n_c9cd9cada946\nt=0027 ADD_EDGE edge_id=e_9d5db059ee9d source=n_35cc6afe6e80 edge_type=supports target=n_3690a358b526\nt=0028 ADD_EDGE edge_id=e_6406aee83b5f source=n_fe08f873fbfd edge_type=supports target=n_ff317fe67caa\nt=0029 ADD_EDGE edge_id=e_7292e58fa37b source=n_35cc6afe6e80 edge_type=supports target=n_e556f1382446\nt=0030 ADD_EDGE edge_id=e_b05412206160 source=n_88fe27c0d2fe edge_type=supports target=n_fe08f873fbfd\nt=0031 ADD_EDGE edge_id=e_b2a63f61efd5 source=n_88fe27c0d2fe edge_type=refutes target=n_123dfb525b31\nt=0032 ADD_EDGE edge_id=e_350adf33eb1e source=n_123dfb525b31 edge_type=supports target=n_9dbdb4efc5e6\nt=0033 ADD_EDGE edge_id=e_8f20b3b37e88 source=n_885a7358a326 edge_type=refutes target=n_dd4903209f30\nt=0034 ADD_EDGE edge_id=e_efef518a2d51 source=n_885a7358a326 edge_type=refutes target=n_88fe27c0d2fe\nt=0035 QUERY source=n_35cc6afe6e80 target=n_82c30c6d3914\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1703,"provenance":{"base_record_id":"train-d04-016","dataset":"livegraph-deterministic-parity-v3","depth":4,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d04-016","split":"train","variant":"clean"},"record_seed":708610934234570786,"render_sha256":"20132bdaf25972f9249141d08419fa342811cf4861568df7953615a16882b2a8","representation":"linear_trace","semantic_sha256":"8ef9c38ac5e683e08c227f31d9c5119f39afb9a36ba9f2b4158f049297f00878"}
{"char_count":3230,"item_id":"train-d04-017::linear_trace","label":"FALSE","lexical_token_proxy_count":556,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_a0d9b3c88dfc node_type=claim\nt=0001 CREATE_NODE id=n_26d83b9d70b0 node_type=claim\nt=0002 CREATE_NODE id=n_d26fdbcf714e node_type=claim\nt=0003 CREATE_NODE id=n_965051b842ee node_type=claim\nt=0004 CREATE_NODE id=n_218823bfa0f2 node_type=claim\nt=0005 CREATE_NODE id=n_ad9277bebf5b node_type=claim\nt=0006 CREATE_NODE id=n_412cb18063e3 node_type=claim\nt=0007 CREATE_NODE id=n_e846fb2671c1 node_type=claim\nt=0008 CREATE_NODE id=n_bc6c0fbe13ea node_type=claim\nt=0009 CREATE_NODE id=n_39dc9796c169 node_type=claim\nt=0010 CREATE_NODE id=n_945a659ffb4c node_type=claim\nt=0011 CREATE_NODE id=n_d00c11d07b0b node_type=claim\nt=0012 CREATE_NODE id=n_811d35af8d86 node_type=claim\nt=0013 CREATE_NODE id=n_d528ddb2ac24 node_type=claim\nt=0014 CREATE_NODE id=n_1ccd3e9fb52f node_type=claim\nt=0015 CREATE_NODE id=n_edf5437d47f1 node_type=claim\nt=0016 CREATE_NODE id=n_3920fde82c94 node_type=claim\nt=0017 CREATE_NODE id=n_b35b68cc3865 node_type=claim\nt=0018 ASSERT_ROOT node=n_39dc9796c169 value=TRUE\nt=0019 ADD_EDGE edge_id=e_36721926c66f source=n_26d83b9d70b0 edge_type=supports target=n_945a659ffb4c\nt=0020 ADD_EDGE edge_id=e_501931457e22 source=n_412cb18063e3 edge_type=refutes target=n_218823bfa0f2\nt=0021 ADD_EDGE edge_id=e_364748811e23 source=n_d00c11d07b0b edge_type=refutes target=n_d528ddb2ac24\nt=0022 ADD_EDGE edge_id=e_1542c31e03aa source=n_39dc9796c169 edge_type=refutes target=n_965051b842ee\nt=0023 ADD_EDGE edge_id=e_be353eaa8787 source=n_edf5437d47f1 edge_type=supports target=n_a0d9b3c88dfc\nt=0024 ADD_EDGE edge_id=e_327196308fe3 source=n_d26fdbcf714e edge_type=supports target=n_e846fb2671c1\nt=0025 ADD_EDGE edge_id=e_26cac6aa1c68 source=n_1ccd3e9fb52f edge_type=supports target=n_b35b68cc3865\nt=0026 ADD_EDGE edge_id=e_99b2d2388092 source=n_39dc9796c169 edge_type=supports target=n_d00c11d07b0b\nt=0027 ADD_EDGE edge_id=e_44b1ced1372e source=n_edf5437d47f1 edge_type=refutes target=n_bc6c0fbe13ea\nt=0028 ADD_EDGE edge_id=e_c01209dd465f source=n_945a659ffb4c edge_type=supports target=n_edf5437d47f1\nt=0029 ADD_EDGE edge_id=e_7f8dfcc13f4e source=n_1ccd3e9fb52f edge_type=refutes target=n_ad9277bebf5b\nt=0030 ADD_EDGE edge_id=e_9c51149bdb42 source=n_bc6c0fbe13ea edge_type=refutes target=n_811d35af8d86\nt=0031 ADD_EDGE edge_id=e_26c823ebc333 source=n_edf5437d47f1 edge_type=refutes target=n_3920fde82c94\nt=0032 ADD_EDGE edge_id=e_473052eeb8e4 source=n_e846fb2671c1 edge_type=supports target=n_1ccd3e9fb52f\nt=0033 ADD_EDGE edge_id=e_7147ab8e3a72 source=n_3920fde82c94 edge_type=supports target=n_412cb18063e3\nt=0034 ADD_EDGE edge_id=e_e04f1652e46c source=n_d00c11d07b0b edge_type=refutes target=n_d26fdbcf714e\nt=0035 QUERY source=n_39dc9796c169 target=n_1ccd3e9fb52f\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1711,"provenance":{"base_record_id":"train-d04-017","dataset":"livegraph-deterministic-parity-v3","depth":4,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d04-017","split":"train","variant":"clean"},"record_seed":140051012982735363,"render_sha256":"6b2d6b309ace2586e68d7a6d57bda9b099826d6a5e91d3d1ae8b46087db4dc2a","representation":"linear_trace","semantic_sha256":"250a12293204e7de61ee3fefed08a9255fe0317a4dee851dd7ce640b56b3208e"}
{"char_count":3231,"item_id":"train-d04-018::linear_trace","label":"TRUE","lexical_token_proxy_count":556,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_daebcde11e9b node_type=claim\nt=0001 CREATE_NODE id=n_d1e0cada3d22 node_type=claim\nt=0002 CREATE_NODE id=n_07c307d18b95 node_type=claim\nt=0003 CREATE_NODE id=n_26c83f885fc9 node_type=claim\nt=0004 CREATE_NODE id=n_281c9d9d342b node_type=claim\nt=0005 CREATE_NODE id=n_8bed86ed7554 node_type=claim\nt=0006 CREATE_NODE id=n_83df9db32834 node_type=claim\nt=0007 CREATE_NODE id=n_2288d71cebbd node_type=claim\nt=0008 CREATE_NODE id=n_e01d83114765 node_type=claim\nt=0009 CREATE_NODE id=n_b829d529d16f node_type=claim\nt=0010 CREATE_NODE id=n_2882fddef869 node_type=claim\nt=0011 CREATE_NODE id=n_79085b1f7f7a node_type=claim\nt=0012 CREATE_NODE id=n_77081cd80140 node_type=claim\nt=0013 CREATE_NODE id=n_e18e4330dcd9 node_type=claim\nt=0014 CREATE_NODE id=n_046e3c55af6c node_type=claim\nt=0015 CREATE_NODE id=n_ae302c833dc8 node_type=claim\nt=0016 CREATE_NODE id=n_cef8e5629055 node_type=claim\nt=0017 CREATE_NODE id=n_a1353b58985b node_type=claim\nt=0018 ASSERT_ROOT node=n_046e3c55af6c value=FALSE\nt=0019 ADD_EDGE edge_id=e_c8917f11f21f source=n_daebcde11e9b edge_type=refutes target=n_d1e0cada3d22\nt=0020 ADD_EDGE edge_id=e_4347301f306b source=n_a1353b58985b edge_type=supports target=n_281c9d9d342b\nt=0021 ADD_EDGE edge_id=e_63c899bc7fe7 source=n_83df9db32834 edge_type=refutes target=n_79085b1f7f7a\nt=0022 ADD_EDGE edge_id=e_24346bd23b9a source=n_daebcde11e9b edge_type=supports target=n_e01d83114765\nt=0023 ADD_EDGE edge_id=e_a55edc74f65e source=n_77081cd80140 edge_type=supports target=n_cef8e5629055\nt=0024 ADD_EDGE edge_id=e_ca60c84aead3 source=n_2882fddef869 edge_type=supports target=n_83df9db32834\nt=0025 ADD_EDGE edge_id=e_509d071d3795 source=n_cef8e5629055 edge_type=supports target=n_ae302c833dc8\nt=0026 ADD_EDGE edge_id=e_dbef4b302e03 source=n_281c9d9d342b edge_type=refutes target=n_26c83f885fc9\nt=0027 ADD_EDGE edge_id=e_699d60305562 source=n_d1e0cada3d22 edge_type=supports target=n_b829d529d16f\nt=0028 ADD_EDGE edge_id=e_1a89a5d419f7 source=n_83df9db32834 edge_type=supports target=n_a1353b58985b\nt=0029 ADD_EDGE edge_id=e_1d55f3db56e2 source=n_2882fddef869 edge_type=refutes target=n_e18e4330dcd9\nt=0030 ADD_EDGE edge_id=e_52e9f0f721fa source=n_79085b1f7f7a edge_type=refutes target=n_8bed86ed7554\nt=0031 ADD_EDGE edge_id=e_7aee3c405988 source=n_046e3c55af6c edge_type=refutes target=n_daebcde11e9b\nt=0032 ADD_EDGE edge_id=e_91df2a8ba5a6 source=n_d1e0cada3d22 edge_type=refutes target=n_77081cd80140\nt=0033 ADD_EDGE edge_id=e_e45f0a58b6be source=n_e18e4330dcd9 edge_type=refutes target=n_2288d71cebbd\nt=0034 ADD_EDGE edge_id=e_2babd9511a85 source=n_77081cd80140 edge_type=supports target=n_07c307d18b95\nt=0035 QUERY source=n_046e3c55af6c target=n_cef8e5629055\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1713,"provenance":{"base_record_id":"train-d04-018","dataset":"livegraph-deterministic-parity-v3","depth":4,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d04-018","split":"train","variant":"clean"},"record_seed":618726526396393511,"render_sha256":"aa073abd1dc75b8a672ce7b6f044b7aadcf5ea8658e1d948bf2d60c795f65230","representation":"linear_trace","semantic_sha256":"68849e1881ce37dc8678df948df3c9a63eb18fa28c4fae25219e69a3921ea8fd"}
{"char_count":3231,"item_id":"train-d04-019::linear_trace","label":"FALSE","lexical_token_proxy_count":556,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_c209e5c48a97 node_type=claim\nt=0001 CREATE_NODE id=n_042c10f51a4b node_type=claim\nt=0002 CREATE_NODE id=n_5be3bef15cae node_type=claim\nt=0003 CREATE_NODE id=n_582566c24051 node_type=claim\nt=0004 CREATE_NODE id=n_e76975a00cdf node_type=claim\nt=0005 CREATE_NODE id=n_4fc2c440d42a node_type=claim\nt=0006 CREATE_NODE id=n_ef90635907b1 node_type=claim\nt=0007 CREATE_NODE id=n_4411ee2b9645 node_type=claim\nt=0008 CREATE_NODE id=n_0e3a841ce144 node_type=claim\nt=0009 CREATE_NODE id=n_bae54ddf7de2 node_type=claim\nt=0010 CREATE_NODE id=n_f46fe9a37b34 node_type=claim\nt=0011 CREATE_NODE id=n_ad3efcdc4e6c node_type=claim\nt=0012 CREATE_NODE id=n_3c7d43f09db3 node_type=claim\nt=0013 CREATE_NODE id=n_68befd2debf8 node_type=claim\nt=0014 CREATE_NODE id=n_f6b8cbd71912 node_type=claim\nt=0015 CREATE_NODE id=n_694cc169d8f2 node_type=claim\nt=0016 CREATE_NODE id=n_951d3c5e2753 node_type=claim\nt=0017 CREATE_NODE id=n_5a7f1713de10 node_type=claim\nt=0018 ASSERT_ROOT node=n_bae54ddf7de2 value=FALSE\nt=0019 ADD_EDGE edge_id=e_e5f43c9570ca source=n_e76975a00cdf edge_type=supports target=n_c209e5c48a97\nt=0020 ADD_EDGE edge_id=e_9182575a503b source=n_bae54ddf7de2 edge_type=supports target=n_5a7f1713de10\nt=0021 ADD_EDGE edge_id=e_bb902421540d source=n_68befd2debf8 edge_type=refutes target=n_ef90635907b1\nt=0022 ADD_EDGE edge_id=e_796510ddd1be source=n_68befd2debf8 edge_type=supports target=n_4fc2c440d42a\nt=0023 ADD_EDGE edge_id=e_1b67ee3bd579 source=n_f6b8cbd71912 edge_type=refutes target=n_582566c24051\nt=0024 ADD_EDGE edge_id=e_45b9eff989ab source=n_951d3c5e2753 edge_type=refutes target=n_3c7d43f09db3\nt=0025 ADD_EDGE edge_id=e_a9542b80f9bf source=n_694cc169d8f2 edge_type=supports target=n_951d3c5e2753\nt=0026 ADD_EDGE edge_id=e_1951429edd6e source=n_f6b8cbd71912 edge_type=supports target=n_e76975a00cdf\nt=0027 ADD_EDGE edge_id=e_d1bb591231c2 source=n_5a7f1713de10 edge_type=refutes target=n_4411ee2b9645\nt=0028 ADD_EDGE edge_id=e_abd6b5d319ff source=n_4411ee2b9645 edge_type=refutes target=n_ad3efcdc4e6c\nt=0029 ADD_EDGE edge_id=e_7bb9c25870ef source=n_4411ee2b9645 edge_type=supports target=n_68befd2debf8\nt=0030 ADD_EDGE edge_id=e_770e84358239 source=n_68befd2debf8 edge_type=supports target=n_f46fe9a37b34\nt=0031 ADD_EDGE edge_id=e_801eaf839cb9 source=n_e76975a00cdf edge_type=supports target=n_694cc169d8f2\nt=0032 ADD_EDGE edge_id=e_122536b3730b source=n_5a7f1713de10 edge_type=refutes target=n_5be3bef15cae\nt=0033 ADD_EDGE edge_id=e_22a965b5f86b source=n_f6b8cbd71912 edge_type=refutes target=n_0e3a841ce144\nt=0034 ADD_EDGE edge_id=e_ac921a779e9b source=n_c209e5c48a97 edge_type=refutes target=n_042c10f51a4b\nt=0035 QUERY source=n_bae54ddf7de2 target=n_ef90635907b1\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1694,"provenance":{"base_record_id":"train-d04-019","dataset":"livegraph-deterministic-parity-v3","depth":4,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d04-019","split":"train","variant":"clean"},"record_seed":1003969404696034741,"render_sha256":"b9008f7985aa04bf47cd69d1907554e731cff46c7faab79f7e0ebae748781bc7","representation":"linear_trace","semantic_sha256":"f5b2121ad2901a05b513caf995a858b69434dae55c3ea3f93dd2192f850b099b"}
{"char_count":3230,"item_id":"train-d04-020::linear_trace","label":"TRUE","lexical_token_proxy_count":556,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_dfa279a65005 node_type=claim\nt=0001 CREATE_NODE id=n_b8e80f793545 node_type=claim\nt=0002 CREATE_NODE id=n_8da1cb4dff2a node_type=claim\nt=0003 CREATE_NODE id=n_5d87690736a7 node_type=claim\nt=0004 CREATE_NODE id=n_46b54f439061 node_type=claim\nt=0005 CREATE_NODE id=n_08306465989c node_type=claim\nt=0006 CREATE_NODE id=n_136c88dd903a node_type=claim\nt=0007 CREATE_NODE id=n_e232dc70f226 node_type=claim\nt=0008 CREATE_NODE id=n_bbd054d3b172 node_type=claim\nt=0009 CREATE_NODE id=n_3b2fe4b97c03 node_type=claim\nt=0010 CREATE_NODE id=n_2a99e51ec54f node_type=claim\nt=0011 CREATE_NODE id=n_f90ea09165e2 node_type=claim\nt=0012 CREATE_NODE id=n_a631944a9985 node_type=claim\nt=0013 CREATE_NODE id=n_c90d2a07498d node_type=claim\nt=0014 CREATE_NODE id=n_146dbd1237b9 node_type=claim\nt=0015 CREATE_NODE id=n_3665b9e1a92c node_type=claim\nt=0016 CREATE_NODE id=n_62353ff76340 node_type=claim\nt=0017 CREATE_NODE id=n_0a06c3f6df26 node_type=claim\nt=0018 ASSERT_ROOT node=n_e232dc70f226 value=TRUE\nt=0019 ADD_EDGE edge_id=e_f29924607f2b source=n_3665b9e1a92c edge_type=supports target=n_08306465989c\nt=0020 ADD_EDGE edge_id=e_7f95078c1113 source=n_2a99e51ec54f edge_type=supports target=n_0a06c3f6df26\nt=0021 ADD_EDGE edge_id=e_459760a9ca84 source=n_e232dc70f226 edge_type=supports target=n_8da1cb4dff2a\nt=0022 ADD_EDGE edge_id=e_98769f483c86 source=n_3665b9e1a92c edge_type=refutes target=n_5d87690736a7\nt=0023 ADD_EDGE edge_id=e_1462cbe242e3 source=n_5d87690736a7 edge_type=refutes target=n_bbd054d3b172\nt=0024 ADD_EDGE edge_id=e_b6242d29b7a7 source=n_2a99e51ec54f edge_type=refutes target=n_3665b9e1a92c\nt=0025 ADD_EDGE edge_id=e_c1afe64ff57c source=n_f90ea09165e2 edge_type=supports target=n_dfa279a65005\nt=0026 ADD_EDGE edge_id=e_ebf317ef43d5 source=n_5d87690736a7 edge_type=supports target=n_146dbd1237b9\nt=0027 ADD_EDGE edge_id=e_e68a997bf0a6 source=n_3b2fe4b97c03 edge_type=supports target=n_f90ea09165e2\nt=0028 ADD_EDGE edge_id=e_11dfb2a04e77 source=n_f90ea09165e2 edge_type=refutes target=n_a631944a9985\nt=0029 ADD_EDGE edge_id=e_bcf60abb06af source=n_46b54f439061 edge_type=refutes target=n_62353ff76340\nt=0030 ADD_EDGE edge_id=e_ae58ae988c65 source=n_3b2fe4b97c03 edge_type=refutes target=n_136c88dd903a\nt=0031 ADD_EDGE edge_id=e_324559b38a8b source=n_e232dc70f226 edge_type=refutes target=n_2a99e51ec54f\nt=0032 ADD_EDGE edge_id=e_cb5b52952668 source=n_dfa279a65005 edge_type=supports target=n_c90d2a07498d\nt=0033 ADD_EDGE edge_id=e_6b050f809f32 source=n_136c88dd903a edge_type=refutes target=n_46b54f439061\nt=0034 ADD_EDGE edge_id=e_8c2a2c83ba4a source=n_f90ea09165e2 edge_type=supports target=n_b8e80f793545\nt=0035 QUERY source=n_e232dc70f226 target=n_bbd054d3b172\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1751,"provenance":{"base_record_id":"train-d04-020","dataset":"livegraph-deterministic-parity-v3","depth":4,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d04-020","split":"train","variant":"clean"},"record_seed":967249651631604911,"render_sha256":"165fac2cc2714ee7396a5d32459e466ca35b462bf89665fe3a069a7af5cc8205","representation":"linear_trace","semantic_sha256":"636573d2c33372f6ff85b25fe73a447c0d06addc0b06d3867675395969364d51"}
{"char_count":3230,"item_id":"train-d04-021::linear_trace","label":"FALSE","lexical_token_proxy_count":556,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_fe0f10795aab node_type=claim\nt=0001 CREATE_NODE id=n_c067b66b33f6 node_type=claim\nt=0002 CREATE_NODE id=n_c93f443c6b3e node_type=claim\nt=0003 CREATE_NODE id=n_5698ae92fe1e node_type=claim\nt=0004 CREATE_NODE id=n_f5af4051fda3 node_type=claim\nt=0005 CREATE_NODE id=n_05032375813e node_type=claim\nt=0006 CREATE_NODE id=n_b2a968494ded node_type=claim\nt=0007 CREATE_NODE id=n_137c4f9266b8 node_type=claim\nt=0008 CREATE_NODE id=n_9725929cfd2a node_type=claim\nt=0009 CREATE_NODE id=n_286db33865d7 node_type=claim\nt=0010 CREATE_NODE id=n_5c1b97c2ff9a node_type=claim\nt=0011 CREATE_NODE id=n_0bff2ba9abc1 node_type=claim\nt=0012 CREATE_NODE id=n_1b5f8630a7c7 node_type=claim\nt=0013 CREATE_NODE id=n_c3751a2e000a node_type=claim\nt=0014 CREATE_NODE id=n_e2df17962c1c node_type=claim\nt=0015 CREATE_NODE id=n_b516bc1dcf0a node_type=claim\nt=0016 CREATE_NODE id=n_2075513d87e6 node_type=claim\nt=0017 CREATE_NODE id=n_ac4992fab210 node_type=claim\nt=0018 ASSERT_ROOT node=n_c3751a2e000a value=TRUE\nt=0019 ADD_EDGE edge_id=e_a8465b162170 source=n_9725929cfd2a edge_type=refutes target=n_fe0f10795aab\nt=0020 ADD_EDGE edge_id=e_06232bb1d470 source=n_c3751a2e000a edge_type=supports target=n_9725929cfd2a\nt=0021 ADD_EDGE edge_id=e_595e4133e93f source=n_fe0f10795aab edge_type=supports target=n_b2a968494ded\nt=0022 ADD_EDGE edge_id=e_76c36fab9c5f source=n_fe0f10795aab edge_type=refutes target=n_0bff2ba9abc1\nt=0023 ADD_EDGE edge_id=e_979ad9c4fe88 source=n_137c4f9266b8 edge_type=supports target=n_2075513d87e6\nt=0024 ADD_EDGE edge_id=e_a8875f829fad source=n_05032375813e edge_type=refutes target=n_5c1b97c2ff9a\nt=0025 ADD_EDGE edge_id=e_e185aada7edf source=n_ac4992fab210 edge_type=supports target=n_05032375813e\nt=0026 ADD_EDGE edge_id=e_5b6f8b2af0f5 source=n_9725929cfd2a edge_type=supports target=n_c93f443c6b3e\nt=0027 ADD_EDGE edge_id=e_b95ca5c6fd54 source=n_9725929cfd2a edge_type=refutes target=n_e2df17962c1c\nt=0028 ADD_EDGE edge_id=e_5da2a66ff273 source=n_ac4992fab210 edge_type=supports target=n_c067b66b33f6\nt=0029 ADD_EDGE edge_id=e_453e04f04adf source=n_c3751a2e000a edge_type=supports target=n_286db33865d7\nt=0030 ADD_EDGE edge_id=e_14922bc789b5 source=n_05032375813e edge_type=supports target=n_137c4f9266b8\nt=0031 ADD_EDGE edge_id=e_65012f35c2eb source=n_ac4992fab210 edge_type=refutes target=n_f5af4051fda3\nt=0032 ADD_EDGE edge_id=e_1dd6765ddd48 source=n_ac4992fab210 edge_type=refutes target=n_b516bc1dcf0a\nt=0033 ADD_EDGE edge_id=e_e4e8261a079a source=n_05032375813e edge_type=refutes target=n_5698ae92fe1e\nt=0034 ADD_EDGE edge_id=e_1b2a18417af8 source=n_0bff2ba9abc1 edge_type=refutes target=n_1b5f8630a7c7\nt=0035 QUERY source=n_c3751a2e000a target=n_1b5f8630a7c7\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1715,"provenance":{"base_record_id":"train-d04-021","dataset":"livegraph-deterministic-parity-v3","depth":4,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d04-021","split":"train","variant":"clean"},"record_seed":493287942719453275,"render_sha256":"1d4fc301e74e0b457983d79215ff16be8d8467ca8e774fd5e06072cee075baa0","representation":"linear_trace","semantic_sha256":"0deb174596a1561a10e8171a9171d23f2a3b92d48ad1e50b3c77225022695676"}
{"char_count":3231,"item_id":"train-d04-022::linear_trace","label":"TRUE","lexical_token_proxy_count":556,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_7cd6e3993a51 node_type=claim\nt=0001 CREATE_NODE id=n_6cdd6c864b52 node_type=claim\nt=0002 CREATE_NODE id=n_d0e6aa27cd0b node_type=claim\nt=0003 CREATE_NODE id=n_b3f2117d524c node_type=claim\nt=0004 CREATE_NODE id=n_b56cef9f164a node_type=claim\nt=0005 CREATE_NODE id=n_7a318ca6c10e node_type=claim\nt=0006 CREATE_NODE id=n_7010d205791f node_type=claim\nt=0007 CREATE_NODE id=n_3e8c090df410 node_type=claim\nt=0008 CREATE_NODE id=n_36d0777b0235 node_type=claim\nt=0009 CREATE_NODE id=n_e55fb98d895c node_type=claim\nt=0010 CREATE_NODE id=n_aa30174e124d node_type=claim\nt=0011 CREATE_NODE id=n_03c26cfb5942 node_type=claim\nt=0012 CREATE_NODE id=n_4372011e5dcf node_type=claim\nt=0013 CREATE_NODE id=n_06a3e60e08cb node_type=claim\nt=0014 CREATE_NODE id=n_6c15e28b8f3c node_type=claim\nt=0015 CREATE_NODE id=n_7118f038ddc8 node_type=claim\nt=0016 CREATE_NODE id=n_7ca46aef8dde node_type=claim\nt=0017 CREATE_NODE id=n_eefca5fd5a44 node_type=claim\nt=0018 ASSERT_ROOT node=n_eefca5fd5a44 value=FALSE\nt=0019 ADD_EDGE edge_id=e_a613cf0ebeaa source=n_eefca5fd5a44 edge_type=supports target=n_d0e6aa27cd0b\nt=0020 ADD_EDGE edge_id=e_c328f9112d62 source=n_06a3e60e08cb edge_type=refutes target=n_aa30174e124d\nt=0021 ADD_EDGE edge_id=e_314aa6c705ba source=n_7ca46aef8dde edge_type=refutes target=n_4372011e5dcf\nt=0022 ADD_EDGE edge_id=e_14fce1f9ab1c source=n_d0e6aa27cd0b edge_type=refutes target=n_6c15e28b8f3c\nt=0023 ADD_EDGE edge_id=e_757066c46ad4 source=n_d0e6aa27cd0b edge_type=refutes target=n_7118f038ddc8\nt=0024 ADD_EDGE edge_id=e_5b4031cd4bbf source=n_6c15e28b8f3c edge_type=supports target=n_6cdd6c864b52\nt=0025 ADD_EDGE edge_id=e_1a49d560037f source=n_6c15e28b8f3c edge_type=refutes target=n_36d0777b0235\nt=0026 ADD_EDGE edge_id=e_a77253025c53 source=n_7ca46aef8dde edge_type=supports target=n_b3f2117d524c\nt=0027 ADD_EDGE edge_id=e_c25f15de6445 source=n_4372011e5dcf edge_type=refutes target=n_06a3e60e08cb\nt=0028 ADD_EDGE edge_id=e_fb41a4bb1214 source=n_6c15e28b8f3c edge_type=refutes target=n_7010d205791f\nt=0029 ADD_EDGE edge_id=e_41aae5eb6b36 source=n_7ca46aef8dde edge_type=refutes target=n_7cd6e3993a51\nt=0030 ADD_EDGE edge_id=e_520e72b54299 source=n_7ca46aef8dde edge_type=supports target=n_7a318ca6c10e\nt=0031 ADD_EDGE edge_id=e_476a60e08f67 source=n_7cd6e3993a51 edge_type=supports target=n_e55fb98d895c\nt=0032 ADD_EDGE edge_id=e_ad4726c52209 source=n_6c15e28b8f3c edge_type=supports target=n_3e8c090df410\nt=0033 ADD_EDGE edge_id=e_886b8045e5f9 source=n_3e8c090df410 edge_type=supports target=n_03c26cfb5942\nt=0034 ADD_EDGE edge_id=e_969ae7d96b84 source=n_7ca46aef8dde edge_type=supports target=n_b56cef9f164a\nt=0035 QUERY source=n_eefca5fd5a44 target=n_03c26cfb5942\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1715,"provenance":{"base_record_id":"train-d04-022","dataset":"livegraph-deterministic-parity-v3","depth":4,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d04-022","split":"train","variant":"clean"},"record_seed":623386342320916823,"render_sha256":"673e01c283348317fe31a6427ea347592c415ef48cc1646997073859e30925f5","representation":"linear_trace","semantic_sha256":"4f03fd3277c77a23ee386d4ea7bcf59cc067675b5b933497a4e437ef9f64b501"}
{"char_count":3231,"item_id":"train-d04-023::linear_trace","label":"FALSE","lexical_token_proxy_count":556,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_70842a01fafe node_type=claim\nt=0001 CREATE_NODE id=n_9597f3aa5e0b node_type=claim\nt=0002 CREATE_NODE id=n_139de7696898 node_type=claim\nt=0003 CREATE_NODE id=n_fe1d3904bf4b node_type=claim\nt=0004 CREATE_NODE id=n_a763e380d94d node_type=claim\nt=0005 CREATE_NODE id=n_48b69ea4f2c1 node_type=claim\nt=0006 CREATE_NODE id=n_ac52576edbf7 node_type=claim\nt=0007 CREATE_NODE id=n_bc7e2ed5d5cf node_type=claim\nt=0008 CREATE_NODE id=n_aff2de70a337 node_type=claim\nt=0009 CREATE_NODE id=n_78874d56b0fd node_type=claim\nt=0010 CREATE_NODE id=n_c082545fea33 node_type=claim\nt=0011 CREATE_NODE id=n_a61372a95a4c node_type=claim\nt=0012 CREATE_NODE id=n_53ccbd90d3fa node_type=claim\nt=0013 CREATE_NODE id=n_86c027d910a5 node_type=claim\nt=0014 CREATE_NODE id=n_80955af2125d node_type=claim\nt=0015 CREATE_NODE id=n_52e15d361ee3 node_type=claim\nt=0016 CREATE_NODE id=n_4afc8ebbc5ae node_type=claim\nt=0017 CREATE_NODE id=n_f9047d9852df node_type=claim\nt=0018 ASSERT_ROOT node=n_78874d56b0fd value=FALSE\nt=0019 ADD_EDGE edge_id=e_e551f43e286b source=n_fe1d3904bf4b edge_type=refutes target=n_9597f3aa5e0b\nt=0020 ADD_EDGE edge_id=e_c02c1d2cd18a source=n_aff2de70a337 edge_type=refutes target=n_a61372a95a4c\nt=0021 ADD_EDGE edge_id=e_2c732a06a8e4 source=n_78874d56b0fd edge_type=refutes target=n_48b69ea4f2c1\nt=0022 ADD_EDGE edge_id=e_f73bb8e10610 source=n_48b69ea4f2c1 edge_type=supports target=n_52e15d361ee3\nt=0023 ADD_EDGE edge_id=e_35bf28597624 source=n_53ccbd90d3fa edge_type=supports target=n_80955af2125d\nt=0024 ADD_EDGE edge_id=e_3c65cb074ce6 source=n_aff2de70a337 edge_type=refutes target=n_ac52576edbf7\nt=0025 ADD_EDGE edge_id=e_b0e3c206662d source=n_bc7e2ed5d5cf edge_type=supports target=n_139de7696898\nt=0026 ADD_EDGE edge_id=e_8acef6df8bb1 source=n_48b69ea4f2c1 edge_type=supports target=n_c082545fea33\nt=0027 ADD_EDGE edge_id=e_b4a332900558 source=n_a61372a95a4c edge_type=supports target=n_70842a01fafe\nt=0028 ADD_EDGE edge_id=e_69442913947c source=n_4afc8ebbc5ae edge_type=refutes target=n_fe1d3904bf4b\nt=0029 ADD_EDGE edge_id=e_de07d88218e8 source=n_48b69ea4f2c1 edge_type=refutes target=n_f9047d9852df\nt=0030 ADD_EDGE edge_id=e_7a03bf354a02 source=n_80955af2125d edge_type=refutes target=n_a763e380d94d\nt=0031 ADD_EDGE edge_id=e_d6c1600791a0 source=n_bc7e2ed5d5cf edge_type=supports target=n_53ccbd90d3fa\nt=0032 ADD_EDGE edge_id=e_36a79ed29071 source=n_bc7e2ed5d5cf edge_type=supports target=n_aff2de70a337\nt=0033 ADD_EDGE edge_id=e_e32ad282ba0c source=n_f9047d9852df edge_type=refutes target=n_4afc8ebbc5ae\nt=0034 ADD_EDGE edge_id=e_45b4fef6c7b3 source=n_f9047d9852df edge_type=supports target=n_86c027d910a5\nt=0035 QUERY source=n_78874d56b0fd target=n_fe1d3904bf4b\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1702,"provenance":{"base_record_id":"train-d04-023","dataset":"livegraph-deterministic-parity-v3","depth":4,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d04-023","split":"train","variant":"clean"},"record_seed":376957673373674416,"render_sha256":"e188cb6cec125bdf8b21c521cbc400746d1f7f04bed64a346e60cc247bd51d8c","representation":"linear_trace","semantic_sha256":"7e4fb1a254d08d3166d98b9d124a14fa900e49ed8f013f9b31a78952f5a55f77"}
{"char_count":3230,"item_id":"train-d04-024::linear_trace","label":"TRUE","lexical_token_proxy_count":556,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_212c621b8e63 node_type=claim\nt=0001 CREATE_NODE id=n_5b8fb45cf019 node_type=claim\nt=0002 CREATE_NODE id=n_910a744579cb node_type=claim\nt=0003 CREATE_NODE id=n_00fee6b902bd node_type=claim\nt=0004 CREATE_NODE id=n_2f6b7a935e31 node_type=claim\nt=0005 CREATE_NODE id=n_303675af38ef node_type=claim\nt=0006 CREATE_NODE id=n_a27d74d11dff node_type=claim\nt=0007 CREATE_NODE id=n_585b997df2aa node_type=claim\nt=0008 CREATE_NODE id=n_ec36b39d43d3 node_type=claim\nt=0009 CREATE_NODE id=n_47b69113d212 node_type=claim\nt=0010 CREATE_NODE id=n_89e3c206f944 node_type=claim\nt=0011 CREATE_NODE id=n_866372e416ff node_type=claim\nt=0012 CREATE_NODE id=n_185cad8f2331 node_type=claim\nt=0013 CREATE_NODE id=n_53c3f5d22a72 node_type=claim\nt=0014 CREATE_NODE id=n_7eaae2c54630 node_type=claim\nt=0015 CREATE_NODE id=n_3767bd0b1e4e node_type=claim\nt=0016 CREATE_NODE id=n_42d2cad45bac node_type=claim\nt=0017 CREATE_NODE id=n_d8fb2ceab73a node_type=claim\nt=0018 ASSERT_ROOT node=n_212c621b8e63 value=TRUE\nt=0019 ADD_EDGE edge_id=e_6276948be98a source=n_303675af38ef edge_type=supports target=n_d8fb2ceab73a\nt=0020 ADD_EDGE edge_id=e_43166bc8f12b source=n_585b997df2aa edge_type=supports target=n_7eaae2c54630\nt=0021 ADD_EDGE edge_id=e_755aea5945da source=n_7eaae2c54630 edge_type=refutes target=n_89e3c206f944\nt=0022 ADD_EDGE edge_id=e_53164b97f074 source=n_866372e416ff edge_type=supports target=n_a27d74d11dff\nt=0023 ADD_EDGE edge_id=e_b14af277ae42 source=n_212c621b8e63 edge_type=refutes target=n_42d2cad45bac\nt=0024 ADD_EDGE edge_id=e_474e51684c7e source=n_ec36b39d43d3 edge_type=supports target=n_866372e416ff\nt=0025 ADD_EDGE edge_id=e_ae38c79f34a3 source=n_d8fb2ceab73a edge_type=refutes target=n_00fee6b902bd\nt=0026 ADD_EDGE edge_id=e_b0fd6c9cecd3 source=n_212c621b8e63 edge_type=refutes target=n_53c3f5d22a72\nt=0027 ADD_EDGE edge_id=e_c1b7e261971b source=n_585b997df2aa edge_type=refutes target=n_ec36b39d43d3\nt=0028 ADD_EDGE edge_id=e_d96328841612 source=n_910a744579cb edge_type=supports target=n_5b8fb45cf019\nt=0029 ADD_EDGE edge_id=e_7f1430726000 source=n_47b69113d212 edge_type=supports target=n_185cad8f2331\nt=0030 ADD_EDGE edge_id=e_6384d30a9b2e source=n_585b997df2aa edge_type=refutes target=n_910a744579cb\nt=0031 ADD_EDGE edge_id=e_3d96f4dd00ed source=n_47b69113d212 edge_type=supports target=n_303675af38ef\nt=0032 ADD_EDGE edge_id=e_8c11c0ab0295 source=n_42d2cad45bac edge_type=refutes target=n_47b69113d212\nt=0033 ADD_EDGE edge_id=e_c9400f78d446 source=n_585b997df2aa edge_type=supports target=n_2f6b7a935e31\nt=0034 ADD_EDGE edge_id=e_a34819b9bd06 source=n_42d2cad45bac edge_type=refutes target=n_3767bd0b1e4e\nt=0035 QUERY source=n_212c621b8e63 target=n_d8fb2ceab73a\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1714,"provenance":{"base_record_id":"train-d04-024","dataset":"livegraph-deterministic-parity-v3","depth":4,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d04-024","split":"train","variant":"clean"},"record_seed":1028101301108582287,"render_sha256":"2b7bf6272f5bc9cc11a1c5c26e482ec6167c96832c1498a4d2b3c8ee81680a7e","representation":"linear_trace","semantic_sha256":"3f12f03000009f4f07c3a327540e78a6801316a9c2b98c717b041a4a32be83a8"}
{"char_count":3230,"item_id":"train-d04-025::linear_trace","label":"FALSE","lexical_token_proxy_count":556,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_fbecac1334d3 node_type=claim\nt=0001 CREATE_NODE id=n_fa419e07ed8a node_type=claim\nt=0002 CREATE_NODE id=n_24fb2c0b3f23 node_type=claim\nt=0003 CREATE_NODE id=n_83879e64f2e7 node_type=claim\nt=0004 CREATE_NODE id=n_c497bf3dd0c8 node_type=claim\nt=0005 CREATE_NODE id=n_5560f3cbbec7 node_type=claim\nt=0006 CREATE_NODE id=n_72859bc464c4 node_type=claim\nt=0007 CREATE_NODE id=n_30624111fc0e node_type=claim\nt=0008 CREATE_NODE id=n_a4ad73679578 node_type=claim\nt=0009 CREATE_NODE id=n_77e8a05773ea node_type=claim\nt=0010 CREATE_NODE id=n_429d9c4013af node_type=claim\nt=0011 CREATE_NODE id=n_4c98e69d5801 node_type=claim\nt=0012 CREATE_NODE id=n_9862da84e4de node_type=claim\nt=0013 CREATE_NODE id=n_aa6dfe55ed13 node_type=claim\nt=0014 CREATE_NODE id=n_bbc5006759ec node_type=claim\nt=0015 CREATE_NODE id=n_eeb0e5e8965e node_type=claim\nt=0016 CREATE_NODE id=n_d8a8582609d8 node_type=claim\nt=0017 CREATE_NODE id=n_3a163bf170e5 node_type=claim\nt=0018 ASSERT_ROOT node=n_72859bc464c4 value=TRUE\nt=0019 ADD_EDGE edge_id=e_af9e749face8 source=n_d8a8582609d8 edge_type=refutes target=n_fbecac1334d3\nt=0020 ADD_EDGE edge_id=e_5d00949037d1 source=n_a4ad73679578 edge_type=refutes target=n_d8a8582609d8\nt=0021 ADD_EDGE edge_id=e_fc8a3af37be7 source=n_bbc5006759ec edge_type=supports target=n_30624111fc0e\nt=0022 ADD_EDGE edge_id=e_a7ea78c26c6c source=n_eeb0e5e8965e edge_type=supports target=n_aa6dfe55ed13\nt=0023 ADD_EDGE edge_id=e_347a30e781dd source=n_72859bc464c4 edge_type=refutes target=n_c497bf3dd0c8\nt=0024 ADD_EDGE edge_id=e_a8746c7f841d source=n_bbc5006759ec edge_type=refutes target=n_5560f3cbbec7\nt=0025 ADD_EDGE edge_id=e_566bc63a54dd source=n_77e8a05773ea edge_type=refutes target=n_3a163bf170e5\nt=0026 ADD_EDGE edge_id=e_56ccf78a1462 source=n_c497bf3dd0c8 edge_type=supports target=n_a4ad73679578\nt=0027 ADD_EDGE edge_id=e_09f8040a2058 source=n_bbc5006759ec edge_type=supports target=n_429d9c4013af\nt=0028 ADD_EDGE edge_id=e_7ca112eec409 source=n_eeb0e5e8965e edge_type=supports target=n_bbc5006759ec\nt=0029 ADD_EDGE edge_id=e_9957529869d8 source=n_aa6dfe55ed13 edge_type=supports target=n_9862da84e4de\nt=0030 ADD_EDGE edge_id=e_514d8b3ff9d5 source=n_a4ad73679578 edge_type=supports target=n_fa419e07ed8a\nt=0031 ADD_EDGE edge_id=e_ab591f528833 source=n_d8a8582609d8 edge_type=refutes target=n_77e8a05773ea\nt=0032 ADD_EDGE edge_id=e_107715eff975 source=n_429d9c4013af edge_type=supports target=n_4c98e69d5801\nt=0033 ADD_EDGE edge_id=e_5fd3f8a47f55 source=n_d8a8582609d8 edge_type=refutes target=n_83879e64f2e7\nt=0034 ADD_EDGE edge_id=e_c99efc31c9c7 source=n_bbc5006759ec edge_type=refutes target=n_24fb2c0b3f23\nt=0035 QUERY source=n_72859bc464c4 target=n_77e8a05773ea\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1708,"provenance":{"base_record_id":"train-d04-025","dataset":"livegraph-deterministic-parity-v3","depth":4,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d04-025","split":"train","variant":"clean"},"record_seed":1123612395174867475,"render_sha256":"44a6edc562210ef9e71a983a560e029b32fb80b540edc865e98b095a7979ec5c","representation":"linear_trace","semantic_sha256":"a8bfb5185e1e31ca3ecff06b8dc8bb4c98603d63cd09301c47d41a3bb7b145d8"}
{"char_count":3231,"item_id":"train-d04-026::linear_trace","label":"TRUE","lexical_token_proxy_count":556,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_9f90fbf2fbfa node_type=claim\nt=0001 CREATE_NODE id=n_f15bfcca3fab node_type=claim\nt=0002 CREATE_NODE id=n_d17a5f941fe1 node_type=claim\nt=0003 CREATE_NODE id=n_212dbdae7f0a node_type=claim\nt=0004 CREATE_NODE id=n_7aa69512d2ca node_type=claim\nt=0005 CREATE_NODE id=n_87d374831e24 node_type=claim\nt=0006 CREATE_NODE id=n_a2011eaf9410 node_type=claim\nt=0007 CREATE_NODE id=n_97a3cb7acd43 node_type=claim\nt=0008 CREATE_NODE id=n_60053f95fe91 node_type=claim\nt=0009 CREATE_NODE id=n_bea20402cf2e node_type=claim\nt=0010 CREATE_NODE id=n_3727eb9d73aa node_type=claim\nt=0011 CREATE_NODE id=n_3ce6c2219e51 node_type=claim\nt=0012 CREATE_NODE id=n_f18181b05f8e node_type=claim\nt=0013 CREATE_NODE id=n_9c54014eeaf0 node_type=claim\nt=0014 CREATE_NODE id=n_02c8b659b499 node_type=claim\nt=0015 CREATE_NODE id=n_dd9c7e8ba90a node_type=claim\nt=0016 CREATE_NODE id=n_60917c1de5b1 node_type=claim\nt=0017 CREATE_NODE id=n_cdddf3dd7ff7 node_type=claim\nt=0018 ASSERT_ROOT node=n_60053f95fe91 value=FALSE\nt=0019 ADD_EDGE edge_id=e_134719748d1c source=n_3727eb9d73aa edge_type=refutes target=n_212dbdae7f0a\nt=0020 ADD_EDGE edge_id=e_0c359e4c25d9 source=n_9c54014eeaf0 edge_type=refutes target=n_9f90fbf2fbfa\nt=0021 ADD_EDGE edge_id=e_b0972a067cab source=n_9c54014eeaf0 edge_type=refutes target=n_87d374831e24\nt=0022 ADD_EDGE edge_id=e_c6332e0901ca source=n_a2011eaf9410 edge_type=refutes target=n_97a3cb7acd43\nt=0023 ADD_EDGE edge_id=e_fc1d84d1a584 source=n_9c54014eeaf0 edge_type=refutes target=n_dd9c7e8ba90a\nt=0024 ADD_EDGE edge_id=e_2d4af619e17f source=n_60053f95fe91 edge_type=supports target=n_60917c1de5b1\nt=0025 ADD_EDGE edge_id=e_22acc85197c2 source=n_3ce6c2219e51 edge_type=supports target=n_a2011eaf9410\nt=0026 ADD_EDGE edge_id=e_1ddfcd3973fd source=n_9c54014eeaf0 edge_type=supports target=n_3ce6c2219e51\nt=0027 ADD_EDGE edge_id=e_695a0a56014d source=n_9f90fbf2fbfa edge_type=refutes target=n_d17a5f941fe1\nt=0028 ADD_EDGE edge_id=e_0612de591754 source=n_87d374831e24 edge_type=supports target=n_cdddf3dd7ff7\nt=0029 ADD_EDGE edge_id=e_c08a53f5b05b source=n_3727eb9d73aa edge_type=supports target=n_02c8b659b499\nt=0030 ADD_EDGE edge_id=e_8c142a6e33a5 source=n_02c8b659b499 edge_type=refutes target=n_bea20402cf2e\nt=0031 ADD_EDGE edge_id=e_fb17d66ad24f source=n_f15bfcca3fab edge_type=supports target=n_7aa69512d2ca\nt=0032 ADD_EDGE edge_id=e_6b1b06f977ed source=n_60917c1de5b1 edge_type=supports target=n_f18181b05f8e\nt=0033 ADD_EDGE edge_id=e_ebef2fe98178 source=n_60917c1de5b1 edge_type=refutes target=n_f15bfcca3fab\nt=0034 ADD_EDGE edge_id=e_f896427cc06c source=n_f15bfcca3fab edge_type=supports target=n_3727eb9d73aa\nt=0035 QUERY source=n_60053f95fe91 target=n_02c8b659b499\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1693,"provenance":{"base_record_id":"train-d04-026","dataset":"livegraph-deterministic-parity-v3","depth":4,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d04-026","split":"train","variant":"clean"},"record_seed":771706146268382416,"render_sha256":"c838a69f4b3e58c1d34f62b24e2815542f992fa937ab084bdf0cffaf92f958fe","representation":"linear_trace","semantic_sha256":"68389a9a9769e87df2a15087bde45a45cb300784c1e20aae3e74ceb6d40d3548"}
{"char_count":3231,"item_id":"train-d04-027::linear_trace","label":"FALSE","lexical_token_proxy_count":556,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_440c2d4c1833 node_type=claim\nt=0001 CREATE_NODE id=n_9b44c8cb1ef0 node_type=claim\nt=0002 CREATE_NODE id=n_212ebb64e6b0 node_type=claim\nt=0003 CREATE_NODE id=n_74790ed6465f node_type=claim\nt=0004 CREATE_NODE id=n_cfee6cf412dd node_type=claim\nt=0005 CREATE_NODE id=n_150b4deef77e node_type=claim\nt=0006 CREATE_NODE id=n_38b06601dd96 node_type=claim\nt=0007 CREATE_NODE id=n_13c191cf42ae node_type=claim\nt=0008 CREATE_NODE id=n_117b971002a8 node_type=claim\nt=0009 CREATE_NODE id=n_d45f4cc11bc3 node_type=claim\nt=0010 CREATE_NODE id=n_cbaae81de1ca node_type=claim\nt=0011 CREATE_NODE id=n_e9971edc8821 node_type=claim\nt=0012 CREATE_NODE id=n_051ee7b93db1 node_type=claim\nt=0013 CREATE_NODE id=n_a067946713a2 node_type=claim\nt=0014 CREATE_NODE id=n_3d76fe09af4e node_type=claim\nt=0015 CREATE_NODE id=n_df1e3d1b512d node_type=claim\nt=0016 CREATE_NODE id=n_750d23039748 node_type=claim\nt=0017 CREATE_NODE id=n_618413af9d59 node_type=claim\nt=0018 ASSERT_ROOT node=n_440c2d4c1833 value=FALSE\nt=0019 ADD_EDGE edge_id=e_c9fc41fbe7ba source=n_a067946713a2 edge_type=refutes target=n_618413af9d59\nt=0020 ADD_EDGE edge_id=e_62adf02c4998 source=n_440c2d4c1833 edge_type=refutes target=n_750d23039748\nt=0021 ADD_EDGE edge_id=e_ddb143e245d4 source=n_440c2d4c1833 edge_type=refutes target=n_cbaae81de1ca\nt=0022 ADD_EDGE edge_id=e_4e6094b218ff source=n_3d76fe09af4e edge_type=supports target=n_212ebb64e6b0\nt=0023 ADD_EDGE edge_id=e_08408d0b8494 source=n_117b971002a8 edge_type=refutes target=n_9b44c8cb1ef0\nt=0024 ADD_EDGE edge_id=e_bcc1865c9d6e source=n_440c2d4c1833 edge_type=refutes target=n_e9971edc8821\nt=0025 ADD_EDGE edge_id=e_9aeac972c03b source=n_440c2d4c1833 edge_type=refutes target=n_051ee7b93db1\nt=0026 ADD_EDGE edge_id=e_b6ab4db958b9 source=n_e9971edc8821 edge_type=supports target=n_117b971002a8\nt=0027 ADD_EDGE edge_id=e_422934e5e5e7 source=n_3d76fe09af4e edge_type=refutes target=n_d45f4cc11bc3\nt=0028 ADD_EDGE edge_id=e_59cf2ffee2a4 source=n_3d76fe09af4e edge_type=supports target=n_df1e3d1b512d\nt=0029 ADD_EDGE edge_id=e_d5cf3c8d8b1b source=n_df1e3d1b512d edge_type=refutes target=n_38b06601dd96\nt=0030 ADD_EDGE edge_id=e_94e4b24f601f source=n_d45f4cc11bc3 edge_type=supports target=n_74790ed6465f\nt=0031 ADD_EDGE edge_id=e_ef341c770cb6 source=n_9b44c8cb1ef0 edge_type=supports target=n_cfee6cf412dd\nt=0032 ADD_EDGE edge_id=e_1ea0a2caf2d0 source=n_a067946713a2 edge_type=supports target=n_13c191cf42ae\nt=0033 ADD_EDGE edge_id=e_66d601e489f5 source=n_117b971002a8 edge_type=supports target=n_150b4deef77e\nt=0034 ADD_EDGE edge_id=e_3d086bdd693e source=n_3d76fe09af4e edge_type=supports target=n_a067946713a2\nt=0035 QUERY source=n_440c2d4c1833 target=n_cfee6cf412dd\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1711,"provenance":{"base_record_id":"train-d04-027","dataset":"livegraph-deterministic-parity-v3","depth":4,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d04-027","split":"train","variant":"clean"},"record_seed":1101360950702589542,"render_sha256":"acabf29a6d7a349b93dc6e91257e8ac3b2379187a4dc28b9baf8bdf838b53ef2","representation":"linear_trace","semantic_sha256":"4947942d39a065ce4d288ad74de20ba54ed29ccda55bfe6a131e3dd27ff2f993"}
{"char_count":3230,"item_id":"train-d04-028::linear_trace","label":"TRUE","lexical_token_proxy_count":556,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_8f897a8a78ce node_type=claim\nt=0001 CREATE_NODE id=n_6631910c9e39 node_type=claim\nt=0002 CREATE_NODE id=n_d7d7f98b9103 node_type=claim\nt=0003 CREATE_NODE id=n_fe48604407f9 node_type=claim\nt=0004 CREATE_NODE id=n_6c7128c80c58 node_type=claim\nt=0005 CREATE_NODE id=n_67ca83808814 node_type=claim\nt=0006 CREATE_NODE id=n_7308ae90efe3 node_type=claim\nt=0007 CREATE_NODE id=n_1684315a4e14 node_type=claim\nt=0008 CREATE_NODE id=n_396576b1a887 node_type=claim\nt=0009 CREATE_NODE id=n_edea02814d21 node_type=claim\nt=0010 CREATE_NODE id=n_a0c7e6312f3d node_type=claim\nt=0011 CREATE_NODE id=n_c238e825eeae node_type=claim\nt=0012 CREATE_NODE id=n_9e41600ac473 node_type=claim\nt=0013 CREATE_NODE id=n_1f6cde81b5d3 node_type=claim\nt=0014 CREATE_NODE id=n_5c983de95d77 node_type=claim\nt=0015 CREATE_NODE id=n_e1797cee4f27 node_type=claim\nt=0016 CREATE_NODE id=n_e7f7364cc207 node_type=claim\nt=0017 CREATE_NODE id=n_07c33d5f28ed node_type=claim\nt=0018 ASSERT_ROOT node=n_fe48604407f9 value=TRUE\nt=0019 ADD_EDGE edge_id=e_ada259f03e06 source=n_7308ae90efe3 edge_type=refutes target=n_e7f7364cc207\nt=0020 ADD_EDGE edge_id=e_a853eaff13c6 source=n_edea02814d21 edge_type=supports target=n_5c983de95d77\nt=0021 ADD_EDGE edge_id=e_d2f83e766753 source=n_a0c7e6312f3d edge_type=refutes target=n_396576b1a887\nt=0022 ADD_EDGE edge_id=e_a9544a45ac28 source=n_fe48604407f9 edge_type=supports target=n_07c33d5f28ed\nt=0023 ADD_EDGE edge_id=e_eed35bed1a9a source=n_e7f7364cc207 edge_type=supports target=n_d7d7f98b9103\nt=0024 ADD_EDGE edge_id=e_bcac21304a1a source=n_07c33d5f28ed edge_type=supports target=n_7308ae90efe3\nt=0025 ADD_EDGE edge_id=e_0a94b995c3f4 source=n_1684315a4e14 edge_type=refutes target=n_9e41600ac473\nt=0026 ADD_EDGE edge_id=e_90c5073b08b0 source=n_07c33d5f28ed edge_type=supports target=n_c238e825eeae\nt=0027 ADD_EDGE edge_id=e_feb201f7e289 source=n_6631910c9e39 edge_type=refutes target=n_1f6cde81b5d3\nt=0028 ADD_EDGE edge_id=e_1ce1d2af41d1 source=n_e7f7364cc207 edge_type=refutes target=n_edea02814d21\nt=0029 ADD_EDGE edge_id=e_06cdec8f9e4b source=n_7308ae90efe3 edge_type=refutes target=n_8f897a8a78ce\nt=0030 ADD_EDGE edge_id=e_f89931da142c source=n_1f6cde81b5d3 edge_type=supports target=n_67ca83808814\nt=0031 ADD_EDGE edge_id=e_f1fd50ec9c17 source=n_a0c7e6312f3d edge_type=supports target=n_6631910c9e39\nt=0032 ADD_EDGE edge_id=e_f8b970a1d520 source=n_67ca83808814 edge_type=refutes target=n_1684315a4e14\nt=0033 ADD_EDGE edge_id=e_0043efcd87eb source=n_e1797cee4f27 edge_type=supports target=n_6c7128c80c58\nt=0034 ADD_EDGE edge_id=e_af79b623564e source=n_e1797cee4f27 edge_type=refutes target=n_a0c7e6312f3d\nt=0035 QUERY source=n_fe48604407f9 target=n_edea02814d21\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1728,"provenance":{"base_record_id":"train-d04-028","dataset":"livegraph-deterministic-parity-v3","depth":4,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d04-028","split":"train","variant":"clean"},"record_seed":494747559944344347,"render_sha256":"30eb8329ddcf93958cb01aa3c83ecc69e4f216733574d4ff9d251cbfcc8a79f2","representation":"linear_trace","semantic_sha256":"6017ac9e06227d28dd7c0b8ae423f307bf213e03c6319c4bcadd7bcf228a2f0a"}
{"char_count":3230,"item_id":"train-d04-029::linear_trace","label":"FALSE","lexical_token_proxy_count":556,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_05cf3e38076b node_type=claim\nt=0001 CREATE_NODE id=n_8ae0671a324b node_type=claim\nt=0002 CREATE_NODE id=n_8eecc4206ae9 node_type=claim\nt=0003 CREATE_NODE id=n_8a2f1d4155da node_type=claim\nt=0004 CREATE_NODE id=n_e69e7f9192bc node_type=claim\nt=0005 CREATE_NODE id=n_edabc0f51881 node_type=claim\nt=0006 CREATE_NODE id=n_61b3890a2ca9 node_type=claim\nt=0007 CREATE_NODE id=n_cb50a9c352d1 node_type=claim\nt=0008 CREATE_NODE id=n_566d27acd0a5 node_type=claim\nt=0009 CREATE_NODE id=n_970627ee76e4 node_type=claim\nt=0010 CREATE_NODE id=n_e8dae33ce538 node_type=claim\nt=0011 CREATE_NODE id=n_4948215ca86b node_type=claim\nt=0012 CREATE_NODE id=n_f575b992d9a5 node_type=claim\nt=0013 CREATE_NODE id=n_45d632b95bbf node_type=claim\nt=0014 CREATE_NODE id=n_39f38b7ac483 node_type=claim\nt=0015 CREATE_NODE id=n_d6d997159bbb node_type=claim\nt=0016 CREATE_NODE id=n_e566097275fb node_type=claim\nt=0017 CREATE_NODE id=n_95b604aee853 node_type=claim\nt=0018 ASSERT_ROOT node=n_e69e7f9192bc value=TRUE\nt=0019 ADD_EDGE edge_id=e_99a82469aa58 source=n_05cf3e38076b edge_type=supports target=n_566d27acd0a5\nt=0020 ADD_EDGE edge_id=e_26c78f6b258e source=n_95b604aee853 edge_type=refutes target=n_cb50a9c352d1\nt=0021 ADD_EDGE edge_id=e_d2c8a98a9409 source=n_8ae0671a324b edge_type=refutes target=n_e8dae33ce538\nt=0022 ADD_EDGE edge_id=e_6ee0b134f06b source=n_95b604aee853 edge_type=supports target=n_45d632b95bbf\nt=0023 ADD_EDGE edge_id=e_c9c775f266d7 source=n_cb50a9c352d1 edge_type=refutes target=n_61b3890a2ca9\nt=0024 ADD_EDGE edge_id=e_f14e120b0bc1 source=n_e566097275fb edge_type=supports target=n_95b604aee853\nt=0025 ADD_EDGE edge_id=e_6021276100e6 source=n_8ae0671a324b edge_type=supports target=n_4948215ca86b\nt=0026 ADD_EDGE edge_id=e_9f72a4f00c75 source=n_8eecc4206ae9 edge_type=supports target=n_edabc0f51881\nt=0027 ADD_EDGE edge_id=e_13d968bb16b3 source=n_e69e7f9192bc edge_type=refutes target=n_39f38b7ac483\nt=0028 ADD_EDGE edge_id=e_04bb6e10b2b7 source=n_05cf3e38076b edge_type=refutes target=n_d6d997159bbb\nt=0029 ADD_EDGE edge_id=e_7dda445d3a5a source=n_cb50a9c352d1 edge_type=refutes target=n_f575b992d9a5\nt=0030 ADD_EDGE edge_id=e_a0f992b86b6d source=n_edabc0f51881 edge_type=refutes target=n_8a2f1d4155da\nt=0031 ADD_EDGE edge_id=e_c33aa74672f0 source=n_e69e7f9192bc edge_type=supports target=n_8ae0671a324b\nt=0032 ADD_EDGE edge_id=e_2aee12567015 source=n_8ae0671a324b edge_type=supports target=n_970627ee76e4\nt=0033 ADD_EDGE edge_id=e_db11155883c7 source=n_4948215ca86b edge_type=refutes target=n_8eecc4206ae9\nt=0034 ADD_EDGE edge_id=e_ab06c0eb28c8 source=n_95b604aee853 edge_type=supports target=n_05cf3e38076b\nt=0035 QUERY source=n_e69e7f9192bc target=n_edabc0f51881\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1723,"provenance":{"base_record_id":"train-d04-029","dataset":"livegraph-deterministic-parity-v3","depth":4,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d04-029","split":"train","variant":"clean"},"record_seed":992454030348188130,"render_sha256":"1b1f8a0660cca974064d864eb95697169eab051d962c72543ff45ba732fcbd5a","representation":"linear_trace","semantic_sha256":"5de49d0291dfa4143d15ea9b744140144291ee7e2225481960d2973b0331a97f"}
{"char_count":3231,"item_id":"train-d04-030::linear_trace","label":"TRUE","lexical_token_proxy_count":556,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_3a6f63ef7f6e node_type=claim\nt=0001 CREATE_NODE id=n_5f1cb0e73f66 node_type=claim\nt=0002 CREATE_NODE id=n_8a60ae8d29f7 node_type=claim\nt=0003 CREATE_NODE id=n_d5598a1b4535 node_type=claim\nt=0004 CREATE_NODE id=n_d433d3139976 node_type=claim\nt=0005 CREATE_NODE id=n_49d9a9ae5baa node_type=claim\nt=0006 CREATE_NODE id=n_41771ebd537b node_type=claim\nt=0007 CREATE_NODE id=n_c73a2a70ba33 node_type=claim\nt=0008 CREATE_NODE id=n_556ecfd4a481 node_type=claim\nt=0009 CREATE_NODE id=n_06dbb1d98ea8 node_type=claim\nt=0010 CREATE_NODE id=n_cd3d01b058be node_type=claim\nt=0011 CREATE_NODE id=n_b1596202394f node_type=claim\nt=0012 CREATE_NODE id=n_fe55f1887515 node_type=claim\nt=0013 CREATE_NODE id=n_03714582128e node_type=claim\nt=0014 CREATE_NODE id=n_503e9da33d47 node_type=claim\nt=0015 CREATE_NODE id=n_48521211f8ed node_type=claim\nt=0016 CREATE_NODE id=n_4d6475f4c973 node_type=claim\nt=0017 CREATE_NODE id=n_c7be895d9eca node_type=claim\nt=0018 ASSERT_ROOT node=n_49d9a9ae5baa value=FALSE\nt=0019 ADD_EDGE edge_id=e_25d562cc0e32 source=n_b1596202394f edge_type=refutes target=n_cd3d01b058be\nt=0020 ADD_EDGE edge_id=e_d00e513031ac source=n_4d6475f4c973 edge_type=refutes target=n_03714582128e\nt=0021 ADD_EDGE edge_id=e_17c84f265525 source=n_8a60ae8d29f7 edge_type=refutes target=n_b1596202394f\nt=0022 ADD_EDGE edge_id=e_bc0e28d58d15 source=n_fe55f1887515 edge_type=refutes target=n_41771ebd537b\nt=0023 ADD_EDGE edge_id=e_e7fb1701c008 source=n_c7be895d9eca edge_type=refutes target=n_556ecfd4a481\nt=0024 ADD_EDGE edge_id=e_9854008299cb source=n_41771ebd537b edge_type=supports target=n_5f1cb0e73f66\nt=0025 ADD_EDGE edge_id=e_c677e9662e5f source=n_49d9a9ae5baa edge_type=supports target=n_c73a2a70ba33\nt=0026 ADD_EDGE edge_id=e_abc3285003c3 source=n_8a60ae8d29f7 edge_type=supports target=n_d433d3139976\nt=0027 ADD_EDGE edge_id=e_d3d1399bd258 source=n_4d6475f4c973 edge_type=supports target=n_3a6f63ef7f6e\nt=0028 ADD_EDGE edge_id=e_3d074f9811ed source=n_4d6475f4c973 edge_type=supports target=n_8a60ae8d29f7\nt=0029 ADD_EDGE edge_id=e_57961a4836ae source=n_d5598a1b4535 edge_type=refutes target=n_48521211f8ed\nt=0030 ADD_EDGE edge_id=e_7530dbd1796b source=n_c7be895d9eca edge_type=supports target=n_503e9da33d47\nt=0031 ADD_EDGE edge_id=e_22a5139658f4 source=n_49d9a9ae5baa edge_type=refutes target=n_4d6475f4c973\nt=0032 ADD_EDGE edge_id=e_fdd14df28900 source=n_06dbb1d98ea8 edge_type=refutes target=n_c7be895d9eca\nt=0033 ADD_EDGE edge_id=e_41a03f73dd16 source=n_06dbb1d98ea8 edge_type=supports target=n_d5598a1b4535\nt=0034 ADD_EDGE edge_id=e_5992dcae2ee1 source=n_06dbb1d98ea8 edge_type=supports target=n_fe55f1887515\nt=0035 QUERY source=n_49d9a9ae5baa target=n_cd3d01b058be\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1722,"provenance":{"base_record_id":"train-d04-030","dataset":"livegraph-deterministic-parity-v3","depth":4,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d04-030","split":"train","variant":"clean"},"record_seed":92781545775526482,"render_sha256":"9577672353a8d64a7d1d1a0d1c900e7b67125ee13058d54d5fa5053a45bff05d","representation":"linear_trace","semantic_sha256":"21d5c739fa6a85cc3ace427342136f18649fcd5d46b92d5460c05388dded88a1"}
{"char_count":3231,"item_id":"train-d04-031::linear_trace","label":"FALSE","lexical_token_proxy_count":556,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_0375bff5d198 node_type=claim\nt=0001 CREATE_NODE id=n_6dcf3254fe24 node_type=claim\nt=0002 CREATE_NODE id=n_fa93d55bafaf node_type=claim\nt=0003 CREATE_NODE id=n_da9bb61b7b39 node_type=claim\nt=0004 CREATE_NODE id=n_cafe67ca20a5 node_type=claim\nt=0005 CREATE_NODE id=n_07f3188b3a96 node_type=claim\nt=0006 CREATE_NODE id=n_036fb2f728ed node_type=claim\nt=0007 CREATE_NODE id=n_6fd7cfa637b8 node_type=claim\nt=0008 CREATE_NODE id=n_29a62171e846 node_type=claim\nt=0009 CREATE_NODE id=n_019235aa8d62 node_type=claim\nt=0010 CREATE_NODE id=n_05cc09bb4127 node_type=claim\nt=0011 CREATE_NODE id=n_0fd9cebf5147 node_type=claim\nt=0012 CREATE_NODE id=n_a6d934f1b6ed node_type=claim\nt=0013 CREATE_NODE id=n_7582be25773f node_type=claim\nt=0014 CREATE_NODE id=n_5739cf939587 node_type=claim\nt=0015 CREATE_NODE id=n_29a728d92ad7 node_type=claim\nt=0016 CREATE_NODE id=n_50fdb7b7be07 node_type=claim\nt=0017 CREATE_NODE id=n_298bc510a747 node_type=claim\nt=0018 ASSERT_ROOT node=n_7582be25773f value=FALSE\nt=0019 ADD_EDGE edge_id=e_ebf8ce8daf50 source=n_da9bb61b7b39 edge_type=refutes target=n_6dcf3254fe24\nt=0020 ADD_EDGE edge_id=e_30beb28504f4 source=n_0fd9cebf5147 edge_type=refutes target=n_50fdb7b7be07\nt=0021 ADD_EDGE edge_id=e_b8175aa8d7a1 source=n_5739cf939587 edge_type=supports target=n_29a62171e846\nt=0022 ADD_EDGE edge_id=e_b74dedba0dbd source=n_05cc09bb4127 edge_type=supports target=n_0fd9cebf5147\nt=0023 ADD_EDGE edge_id=e_2c3e641092bf source=n_7582be25773f edge_type=supports target=n_29a728d92ad7\nt=0024 ADD_EDGE edge_id=e_8fd944dcd7b8 source=n_5739cf939587 edge_type=refutes target=n_0375bff5d198\nt=0025 ADD_EDGE edge_id=e_b85362238e5d source=n_5739cf939587 edge_type=supports target=n_cafe67ca20a5\nt=0026 ADD_EDGE edge_id=e_297fb9c31d0b source=n_0fd9cebf5147 edge_type=refutes target=n_da9bb61b7b39\nt=0027 ADD_EDGE edge_id=e_54bc5c8649e2 source=n_7582be25773f edge_type=supports target=n_05cc09bb4127\nt=0028 ADD_EDGE edge_id=e_5409c70aafd0 source=n_07f3188b3a96 edge_type=refutes target=n_019235aa8d62\nt=0029 ADD_EDGE edge_id=e_9abb4b5065b5 source=n_05cc09bb4127 edge_type=refutes target=n_fa93d55bafaf\nt=0030 ADD_EDGE edge_id=e_f788703cb37c source=n_5739cf939587 edge_type=supports target=n_036fb2f728ed\nt=0031 ADD_EDGE edge_id=e_82c4d3202b1f source=n_da9bb61b7b39 edge_type=supports target=n_a6d934f1b6ed\nt=0032 ADD_EDGE edge_id=e_8b2f1e6f9d99 source=n_cafe67ca20a5 edge_type=refutes target=n_298bc510a747\nt=0033 ADD_EDGE edge_id=e_12c57da62e53 source=n_036fb2f728ed edge_type=supports target=n_07f3188b3a96\nt=0034 ADD_EDGE edge_id=e_253a33504cc3 source=n_0375bff5d198 edge_type=refutes target=n_6fd7cfa637b8\nt=0035 QUERY source=n_7582be25773f target=n_6dcf3254fe24\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1693,"provenance":{"base_record_id":"train-d04-031","dataset":"livegraph-deterministic-parity-v3","depth":4,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d04-031","split":"train","variant":"clean"},"record_seed":365472684820348200,"render_sha256":"d2c6eefbb39774a2d6202a4838587ecfaadedcfa90e10249e4e6348e71ca9b13","representation":"linear_trace","semantic_sha256":"608adc6003e16eacf527a8377643e60e93ba408f36ca60531f4f7c8c8676a679"}
{"char_count":3230,"item_id":"train-d04-032::linear_trace","label":"TRUE","lexical_token_proxy_count":556,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_8c85b322e6e5 node_type=claim\nt=0001 CREATE_NODE id=n_c3f7f15f30b0 node_type=claim\nt=0002 CREATE_NODE id=n_ad23bf0a648b node_type=claim\nt=0003 CREATE_NODE id=n_d2bce2889d52 node_type=claim\nt=0004 CREATE_NODE id=n_7e562479ff62 node_type=claim\nt=0005 CREATE_NODE id=n_f09c8c7807d8 node_type=claim\nt=0006 CREATE_NODE id=n_ae02f1fac1f5 node_type=claim\nt=0007 CREATE_NODE id=n_a89ceb6df241 node_type=claim\nt=0008 CREATE_NODE id=n_e5c1828d2083 node_type=claim\nt=0009 CREATE_NODE id=n_2ba660765af9 node_type=claim\nt=0010 CREATE_NODE id=n_3952f7c448e6 node_type=claim\nt=0011 CREATE_NODE id=n_1e8bcbd442d7 node_type=claim\nt=0012 CREATE_NODE id=n_1a6a71391413 node_type=claim\nt=0013 CREATE_NODE id=n_a5b01434153a node_type=claim\nt=0014 CREATE_NODE id=n_ba02e90f13cf node_type=claim\nt=0015 CREATE_NODE id=n_7b6e416f31f2 node_type=claim\nt=0016 CREATE_NODE id=n_612140a004dc node_type=claim\nt=0017 CREATE_NODE id=n_840b477d1067 node_type=claim\nt=0018 ASSERT_ROOT node=n_7e562479ff62 value=TRUE\nt=0019 ADD_EDGE edge_id=e_fddd27d974f4 source=n_ae02f1fac1f5 edge_type=refutes target=n_840b477d1067\nt=0020 ADD_EDGE edge_id=e_ad147c6888aa source=n_a89ceb6df241 edge_type=supports target=n_3952f7c448e6\nt=0021 ADD_EDGE edge_id=e_41d5670f871d source=n_c3f7f15f30b0 edge_type=supports target=n_1a6a71391413\nt=0022 ADD_EDGE edge_id=e_04d512743139 source=n_1e8bcbd442d7 edge_type=supports target=n_ba02e90f13cf\nt=0023 ADD_EDGE edge_id=e_00cfba19fb05 source=n_ad23bf0a648b edge_type=supports target=n_e5c1828d2083\nt=0024 ADD_EDGE edge_id=e_5f0bbfa93034 source=n_a5b01434153a edge_type=refutes target=n_8c85b322e6e5\nt=0025 ADD_EDGE edge_id=e_2e8b1aa864f2 source=n_c3f7f15f30b0 edge_type=refutes target=n_612140a004dc\nt=0026 ADD_EDGE edge_id=e_d1147e615451 source=n_7e562479ff62 edge_type=refutes target=n_a5b01434153a\nt=0027 ADD_EDGE edge_id=e_b1f4a179e051 source=n_f09c8c7807d8 edge_type=refutes target=n_1e8bcbd442d7\nt=0028 ADD_EDGE edge_id=e_847481810229 source=n_f09c8c7807d8 edge_type=refutes target=n_ad23bf0a648b\nt=0029 ADD_EDGE edge_id=e_f1d4024d6d24 source=n_a5b01434153a edge_type=refutes target=n_2ba660765af9\nt=0030 ADD_EDGE edge_id=e_f4adc32bf0ab source=n_d2bce2889d52 edge_type=supports target=n_ae02f1fac1f5\nt=0031 ADD_EDGE edge_id=e_963ed704b2df source=n_c3f7f15f30b0 edge_type=supports target=n_a89ceb6df241\nt=0032 ADD_EDGE edge_id=e_e06793ecea26 source=n_1e8bcbd442d7 edge_type=supports target=n_7b6e416f31f2\nt=0033 ADD_EDGE edge_id=e_628b5dadfa11 source=n_8c85b322e6e5 edge_type=supports target=n_c3f7f15f30b0\nt=0034 ADD_EDGE edge_id=e_b1f1c28f3209 source=n_ae02f1fac1f5 edge_type=refutes target=n_f09c8c7807d8\nt=0035 QUERY source=n_7e562479ff62 target=n_a89ceb6df241\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1735,"provenance":{"base_record_id":"train-d04-032","dataset":"livegraph-deterministic-parity-v3","depth":4,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d04-032","split":"train","variant":"clean"},"record_seed":602276981890426739,"render_sha256":"e4934d9a441e14ce9fce98b9b43ccfa4b0f61e77ae4bd399c1b8f9a5bc96cc2d","representation":"linear_trace","semantic_sha256":"bee638ecc1407f614242504cd6966b3fa750a97dc3dc1540655ba4564736ddbd"}
{"char_count":3230,"item_id":"train-d04-033::linear_trace","label":"FALSE","lexical_token_proxy_count":556,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_bbb039648405 node_type=claim\nt=0001 CREATE_NODE id=n_b1df0db4cf00 node_type=claim\nt=0002 CREATE_NODE id=n_aa7e9eedc696 node_type=claim\nt=0003 CREATE_NODE id=n_0ad000110bd7 node_type=claim\nt=0004 CREATE_NODE id=n_7cdb91481694 node_type=claim\nt=0005 CREATE_NODE id=n_63a029bab209 node_type=claim\nt=0006 CREATE_NODE id=n_6656641a91e8 node_type=claim\nt=0007 CREATE_NODE id=n_8ed970b825a7 node_type=claim\nt=0008 CREATE_NODE id=n_d6108dd17adf node_type=claim\nt=0009 CREATE_NODE id=n_97c19c6ae63f node_type=claim\nt=0010 CREATE_NODE id=n_9c991d9ce0f8 node_type=claim\nt=0011 CREATE_NODE id=n_b50c2aa5a298 node_type=claim\nt=0012 CREATE_NODE id=n_2068b91f4d71 node_type=claim\nt=0013 CREATE_NODE id=n_21c3fa129a78 node_type=claim\nt=0014 CREATE_NODE id=n_23520e57de6b node_type=claim\nt=0015 CREATE_NODE id=n_a4714edcbe09 node_type=claim\nt=0016 CREATE_NODE id=n_c7a5436c20ba node_type=claim\nt=0017 CREATE_NODE id=n_25f28917b328 node_type=claim\nt=0018 ASSERT_ROOT node=n_63a029bab209 value=TRUE\nt=0019 ADD_EDGE edge_id=e_4432f2883009 source=n_bbb039648405 edge_type=supports target=n_2068b91f4d71\nt=0020 ADD_EDGE edge_id=e_c5a456e91302 source=n_bbb039648405 edge_type=supports target=n_6656641a91e8\nt=0021 ADD_EDGE edge_id=e_d8dd01b3324a source=n_25f28917b328 edge_type=supports target=n_aa7e9eedc696\nt=0022 ADD_EDGE edge_id=e_b88807b27402 source=n_2068b91f4d71 edge_type=supports target=n_0ad000110bd7\nt=0023 ADD_EDGE edge_id=e_d54ae382da8e source=n_8ed970b825a7 edge_type=refutes target=n_b1df0db4cf00\nt=0024 ADD_EDGE edge_id=e_8ba08014ab4b source=n_8ed970b825a7 edge_type=refutes target=n_97c19c6ae63f\nt=0025 ADD_EDGE edge_id=e_02167fd86f12 source=n_6656641a91e8 edge_type=refutes target=n_25f28917b328\nt=0026 ADD_EDGE edge_id=e_521bac7fbc51 source=n_6656641a91e8 edge_type=supports target=n_23520e57de6b\nt=0027 ADD_EDGE edge_id=e_b78bcde4935b source=n_c7a5436c20ba edge_type=refutes target=n_21c3fa129a78\nt=0028 ADD_EDGE edge_id=e_e8f66870f57c source=n_97c19c6ae63f edge_type=refutes target=n_a4714edcbe09\nt=0029 ADD_EDGE edge_id=e_00fb0f2c0b2d source=n_0ad000110bd7 edge_type=refutes target=n_9c991d9ce0f8\nt=0030 ADD_EDGE edge_id=e_e840c25f72e4 source=n_63a029bab209 edge_type=supports target=n_c7a5436c20ba\nt=0031 ADD_EDGE edge_id=e_3a988b7d8d96 source=n_7cdb91481694 edge_type=supports target=n_bbb039648405\nt=0032 ADD_EDGE edge_id=e_cd4297c2dd6c source=n_c7a5436c20ba edge_type=refutes target=n_d6108dd17adf\nt=0033 ADD_EDGE edge_id=e_d938cb35a9a3 source=n_c7a5436c20ba edge_type=refutes target=n_8ed970b825a7\nt=0034 ADD_EDGE edge_id=e_a5a41262ba40 source=n_97c19c6ae63f edge_type=supports target=n_b50c2aa5a298\nt=0035 QUERY source=n_63a029bab209 target=n_a4714edcbe09\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1721,"provenance":{"base_record_id":"train-d04-033","dataset":"livegraph-deterministic-parity-v3","depth":4,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d04-033","split":"train","variant":"clean"},"record_seed":622232848204197504,"render_sha256":"7f748b87bf62a7d8483923ad975f6abcc05da9f0290aaf20d18c8f301b463f8a","representation":"linear_trace","semantic_sha256":"d3499ce212062377e3bb28599351a41715381617a12796c2a28c2e70aab50761"}
{"char_count":3231,"item_id":"train-d04-034::linear_trace","label":"TRUE","lexical_token_proxy_count":556,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_49c4e1952e09 node_type=claim\nt=0001 CREATE_NODE id=n_82e31b087ade node_type=claim\nt=0002 CREATE_NODE id=n_c20111bc2948 node_type=claim\nt=0003 CREATE_NODE id=n_4620e5bb95ce node_type=claim\nt=0004 CREATE_NODE id=n_af356b97ddb2 node_type=claim\nt=0005 CREATE_NODE id=n_4b01f1d6a209 node_type=claim\nt=0006 CREATE_NODE id=n_3ce5c89f0074 node_type=claim\nt=0007 CREATE_NODE id=n_1b1d60551d75 node_type=claim\nt=0008 CREATE_NODE id=n_a9acc7d37687 node_type=claim\nt=0009 CREATE_NODE id=n_c347e62468f6 node_type=claim\nt=0010 CREATE_NODE id=n_c2f41b2e5e0a node_type=claim\nt=0011 CREATE_NODE id=n_1370cc0f7511 node_type=claim\nt=0012 CREATE_NODE id=n_0d2c6e1a7063 node_type=claim\nt=0013 CREATE_NODE id=n_980dce68735d node_type=claim\nt=0014 CREATE_NODE id=n_f43ffaf5f95a node_type=claim\nt=0015 CREATE_NODE id=n_997862be3bda node_type=claim\nt=0016 CREATE_NODE id=n_ddea4736c037 node_type=claim\nt=0017 CREATE_NODE id=n_e0dc873b35b9 node_type=claim\nt=0018 ASSERT_ROOT node=n_4620e5bb95ce value=FALSE\nt=0019 ADD_EDGE edge_id=e_dd3e8a4054a5 source=n_4620e5bb95ce edge_type=supports target=n_49c4e1952e09\nt=0020 ADD_EDGE edge_id=e_576826c69571 source=n_4b01f1d6a209 edge_type=supports target=n_3ce5c89f0074\nt=0021 ADD_EDGE edge_id=e_8172d3a43fdb source=n_c2f41b2e5e0a edge_type=supports target=n_1b1d60551d75\nt=0022 ADD_EDGE edge_id=e_36956bb65bc1 source=n_1370cc0f7511 edge_type=refutes target=n_a9acc7d37687\nt=0023 ADD_EDGE edge_id=e_1b0efb6f134c source=n_82e31b087ade edge_type=refutes target=n_c20111bc2948\nt=0024 ADD_EDGE edge_id=e_cd28610bdd34 source=n_a9acc7d37687 edge_type=refutes target=n_997862be3bda\nt=0025 ADD_EDGE edge_id=e_6e6a1dc2842e source=n_82e31b087ade edge_type=refutes target=n_c2f41b2e5e0a\nt=0026 ADD_EDGE edge_id=e_d4495d81c00c source=n_c347e62468f6 edge_type=refutes target=n_f43ffaf5f95a\nt=0027 ADD_EDGE edge_id=e_482d88ee10f2 source=n_49c4e1952e09 edge_type=supports target=n_82e31b087ade\nt=0028 ADD_EDGE edge_id=e_91fb694591e3 source=n_997862be3bda edge_type=supports target=n_0d2c6e1a7063\nt=0029 ADD_EDGE edge_id=e_3d04e82f1c46 source=n_a9acc7d37687 edge_type=supports target=n_c347e62468f6\nt=0030 ADD_EDGE edge_id=e_96a193389de7 source=n_82e31b087ade edge_type=supports target=n_e0dc873b35b9\nt=0031 ADD_EDGE edge_id=e_9774e06af62b source=n_82e31b087ade edge_type=refutes target=n_ddea4736c037\nt=0032 ADD_EDGE edge_id=e_3fa4200fb5da source=n_c347e62468f6 edge_type=supports target=n_af356b97ddb2\nt=0033 ADD_EDGE edge_id=e_d0dc3ee70f7e source=n_c347e62468f6 edge_type=refutes target=n_4b01f1d6a209\nt=0034 ADD_EDGE edge_id=e_0d334ab7eb66 source=n_82e31b087ade edge_type=refutes target=n_980dce68735d\nt=0035 QUERY source=n_4620e5bb95ce target=n_1b1d60551d75\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1728,"provenance":{"base_record_id":"train-d04-034","dataset":"livegraph-deterministic-parity-v3","depth":4,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d04-034","split":"train","variant":"clean"},"record_seed":667892889316910603,"render_sha256":"f2f976c8d56be666990492020fa9bad3fe3a3bdb6d9ad7a5cb875938e6d85641","representation":"linear_trace","semantic_sha256":"af88953a1d4284cd5ed1de8fda7d6abbf7ad014b150143d8baeeedf4820f020e"}
{"char_count":3231,"item_id":"train-d04-035::linear_trace","label":"FALSE","lexical_token_proxy_count":556,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_0bb9626f8b14 node_type=claim\nt=0001 CREATE_NODE id=n_b4bdc817da9e node_type=claim\nt=0002 CREATE_NODE id=n_9f119722d5e4 node_type=claim\nt=0003 CREATE_NODE id=n_131366b25774 node_type=claim\nt=0004 CREATE_NODE id=n_2841ab207db8 node_type=claim\nt=0005 CREATE_NODE id=n_1dd5176fbe9d node_type=claim\nt=0006 CREATE_NODE id=n_d6ea9a2ebcb6 node_type=claim\nt=0007 CREATE_NODE id=n_bc739261a0f1 node_type=claim\nt=0008 CREATE_NODE id=n_551d8d5194e5 node_type=claim\nt=0009 CREATE_NODE id=n_8426586dd1f4 node_type=claim\nt=0010 CREATE_NODE id=n_3e4c9097a954 node_type=claim\nt=0011 CREATE_NODE id=n_6812c1360afb node_type=claim\nt=0012 CREATE_NODE id=n_a51198e64c0f node_type=claim\nt=0013 CREATE_NODE id=n_ce4bb0ae0aa3 node_type=claim\nt=0014 CREATE_NODE id=n_44ccd196107c node_type=claim\nt=0015 CREATE_NODE id=n_203eb8f34842 node_type=claim\nt=0016 CREATE_NODE id=n_5ebd41aa51e7 node_type=claim\nt=0017 CREATE_NODE id=n_baf7940d03a4 node_type=claim\nt=0018 ASSERT_ROOT node=n_131366b25774 value=FALSE\nt=0019 ADD_EDGE edge_id=e_2bafd5f57a08 source=n_8426586dd1f4 edge_type=refutes target=n_a51198e64c0f\nt=0020 ADD_EDGE edge_id=e_926268c4259b source=n_3e4c9097a954 edge_type=supports target=n_44ccd196107c\nt=0021 ADD_EDGE edge_id=e_7453d3fec278 source=n_8426586dd1f4 edge_type=supports target=n_6812c1360afb\nt=0022 ADD_EDGE edge_id=e_7a1d27fa8f74 source=n_131366b25774 edge_type=refutes target=n_5ebd41aa51e7\nt=0023 ADD_EDGE edge_id=e_600cdebf22f2 source=n_2841ab207db8 edge_type=refutes target=n_ce4bb0ae0aa3\nt=0024 ADD_EDGE edge_id=e_4b37f554e087 source=n_44ccd196107c edge_type=supports target=n_551d8d5194e5\nt=0025 ADD_EDGE edge_id=e_32add4b9eb82 source=n_9f119722d5e4 edge_type=refutes target=n_d6ea9a2ebcb6\nt=0026 ADD_EDGE edge_id=e_793660e176ce source=n_a51198e64c0f edge_type=refutes target=n_9f119722d5e4\nt=0027 ADD_EDGE edge_id=e_abbf17d13ec8 source=n_131366b25774 edge_type=supports target=n_0bb9626f8b14\nt=0028 ADD_EDGE edge_id=e_824453925cb4 source=n_2841ab207db8 edge_type=supports target=n_203eb8f34842\nt=0029 ADD_EDGE edge_id=e_2805e3206781 source=n_44ccd196107c edge_type=supports target=n_b4bdc817da9e\nt=0030 ADD_EDGE edge_id=e_7933311f06bc source=n_a51198e64c0f edge_type=refutes target=n_2841ab207db8\nt=0031 ADD_EDGE edge_id=e_5dd521280a82 source=n_203eb8f34842 edge_type=supports target=n_baf7940d03a4\nt=0032 ADD_EDGE edge_id=e_5b3a7eed19a7 source=n_0bb9626f8b14 edge_type=supports target=n_3e4c9097a954\nt=0033 ADD_EDGE edge_id=e_d76cab9c4f35 source=n_131366b25774 edge_type=refutes target=n_1dd5176fbe9d\nt=0034 ADD_EDGE edge_id=e_1bbeee1d50d9 source=n_44ccd196107c edge_type=refutes target=n_bc739261a0f1\nt=0035 QUERY source=n_131366b25774 target=n_b4bdc817da9e\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1720,"provenance":{"base_record_id":"train-d04-035","dataset":"livegraph-deterministic-parity-v3","depth":4,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d04-035","split":"train","variant":"clean"},"record_seed":619564647392037452,"render_sha256":"cd5f334f39f0cdb50231ea37e980b8301dc291c92418cb810d96113971683beb","representation":"linear_trace","semantic_sha256":"1a575142ada47b09f2e43f432a9080c6e5866dfb5b7f50078f7aa9d5b21b21f5"}
{"char_count":3230,"item_id":"train-d04-036::linear_trace","label":"TRUE","lexical_token_proxy_count":556,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_9d1d1cb3b1f4 node_type=claim\nt=0001 CREATE_NODE id=n_602c4d43067a node_type=claim\nt=0002 CREATE_NODE id=n_124a9f5f66b4 node_type=claim\nt=0003 CREATE_NODE id=n_116706674323 node_type=claim\nt=0004 CREATE_NODE id=n_be8b2fc369d2 node_type=claim\nt=0005 CREATE_NODE id=n_1757fca80ede node_type=claim\nt=0006 CREATE_NODE id=n_e5ba7e0c9ca4 node_type=claim\nt=0007 CREATE_NODE id=n_ffcff66cc349 node_type=claim\nt=0008 CREATE_NODE id=n_adf33eab6408 node_type=claim\nt=0009 CREATE_NODE id=n_7515909f19d3 node_type=claim\nt=0010 CREATE_NODE id=n_a3a7d18d3b01 node_type=claim\nt=0011 CREATE_NODE id=n_ade065e71d89 node_type=claim\nt=0012 CREATE_NODE id=n_bc2c4001d01e node_type=claim\nt=0013 CREATE_NODE id=n_ec7612c12da4 node_type=claim\nt=0014 CREATE_NODE id=n_2f74e4c5f667 node_type=claim\nt=0015 CREATE_NODE id=n_7dcc5e9de34f node_type=claim\nt=0016 CREATE_NODE id=n_a0285335a758 node_type=claim\nt=0017 CREATE_NODE id=n_f40fa6d4bc65 node_type=claim\nt=0018 ASSERT_ROOT node=n_7dcc5e9de34f value=TRUE\nt=0019 ADD_EDGE edge_id=e_c98a3d7aa9ad source=n_a0285335a758 edge_type=supports target=n_2f74e4c5f667\nt=0020 ADD_EDGE edge_id=e_36d741e8ea5d source=n_ffcff66cc349 edge_type=supports target=n_9d1d1cb3b1f4\nt=0021 ADD_EDGE edge_id=e_96b01f9b854f source=n_7dcc5e9de34f edge_type=supports target=n_adf33eab6408\nt=0022 ADD_EDGE edge_id=e_11a83b2c0dea source=n_f40fa6d4bc65 edge_type=supports target=n_ec7612c12da4\nt=0023 ADD_EDGE edge_id=e_cb9970b2ff32 source=n_602c4d43067a edge_type=refutes target=n_7515909f19d3\nt=0024 ADD_EDGE edge_id=e_aca7b047b868 source=n_9d1d1cb3b1f4 edge_type=supports target=n_f40fa6d4bc65\nt=0025 ADD_EDGE edge_id=e_a587cc21b5a7 source=n_7dcc5e9de34f edge_type=supports target=n_602c4d43067a\nt=0026 ADD_EDGE edge_id=e_db720a36a8ba source=n_bc2c4001d01e edge_type=refutes target=n_e5ba7e0c9ca4\nt=0027 ADD_EDGE edge_id=e_dbd294023651 source=n_bc2c4001d01e edge_type=refutes target=n_be8b2fc369d2\nt=0028 ADD_EDGE edge_id=e_8ce90aaf9205 source=n_116706674323 edge_type=supports target=n_124a9f5f66b4\nt=0029 ADD_EDGE edge_id=e_5215a280243f source=n_602c4d43067a edge_type=refutes target=n_a0285335a758\nt=0030 ADD_EDGE edge_id=e_ad5cac9f2e10 source=n_ffcff66cc349 edge_type=refutes target=n_bc2c4001d01e\nt=0031 ADD_EDGE edge_id=e_d2182419d923 source=n_a0285335a758 edge_type=refutes target=n_116706674323\nt=0032 ADD_EDGE edge_id=e_d009a880a922 source=n_ade065e71d89 edge_type=supports target=n_a3a7d18d3b01\nt=0033 ADD_EDGE edge_id=e_75cf8112e31f source=n_602c4d43067a edge_type=refutes target=n_1757fca80ede\nt=0034 ADD_EDGE edge_id=e_2a13c7612a97 source=n_ec7612c12da4 edge_type=refutes target=n_ade065e71d89\nt=0035 QUERY source=n_7dcc5e9de34f target=n_124a9f5f66b4\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1722,"provenance":{"base_record_id":"train-d04-036","dataset":"livegraph-deterministic-parity-v3","depth":4,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d04-036","split":"train","variant":"clean"},"record_seed":549684437822653275,"render_sha256":"f9d19fc2f28056f9da84524ecd0055e8f83cf6eb495c33a008a4aed3c2a2160b","representation":"linear_trace","semantic_sha256":"77153f9b45c1743005be3e30b711275143a623b7da819c75f469a4c0eb85f729"}
{"char_count":3230,"item_id":"train-d04-037::linear_trace","label":"FALSE","lexical_token_proxy_count":556,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_090f3e21387f node_type=claim\nt=0001 CREATE_NODE id=n_b3f2eb4bc925 node_type=claim\nt=0002 CREATE_NODE id=n_6fa875ee3f0e node_type=claim\nt=0003 CREATE_NODE id=n_9e80cd90426a node_type=claim\nt=0004 CREATE_NODE id=n_c2f1008c98ea node_type=claim\nt=0005 CREATE_NODE id=n_a0530d28da5b node_type=claim\nt=0006 CREATE_NODE id=n_a808ff6c1c36 node_type=claim\nt=0007 CREATE_NODE id=n_6167946a4e03 node_type=claim\nt=0008 CREATE_NODE id=n_2da03f9a2a3d node_type=claim\nt=0009 CREATE_NODE id=n_b466235de455 node_type=claim\nt=0010 CREATE_NODE id=n_2fd406b7e7e9 node_type=claim\nt=0011 CREATE_NODE id=n_223dbc1b50d2 node_type=claim\nt=0012 CREATE_NODE id=n_f183a66230b7 node_type=claim\nt=0013 CREATE_NODE id=n_e69021ab0c5d node_type=claim\nt=0014 CREATE_NODE id=n_0762b5091f0d node_type=claim\nt=0015 CREATE_NODE id=n_4c6e79c2ffa9 node_type=claim\nt=0016 CREATE_NODE id=n_70730577c66d node_type=claim\nt=0017 CREATE_NODE id=n_0f32b6b91259 node_type=claim\nt=0018 ASSERT_ROOT node=n_c2f1008c98ea value=TRUE\nt=0019 ADD_EDGE edge_id=e_5fbcb69d5d66 source=n_2fd406b7e7e9 edge_type=refutes target=n_223dbc1b50d2\nt=0020 ADD_EDGE edge_id=e_599725791507 source=n_6167946a4e03 edge_type=refutes target=n_a0530d28da5b\nt=0021 ADD_EDGE edge_id=e_7cb4ca5420ef source=n_c2f1008c98ea edge_type=supports target=n_0f32b6b91259\nt=0022 ADD_EDGE edge_id=e_17aae44c6e89 source=n_a0530d28da5b edge_type=supports target=n_0762b5091f0d\nt=0023 ADD_EDGE edge_id=e_2b18bfdce0c0 source=n_6167946a4e03 edge_type=refutes target=n_4c6e79c2ffa9\nt=0024 ADD_EDGE edge_id=e_805480dcb291 source=n_2fd406b7e7e9 edge_type=supports target=n_2da03f9a2a3d\nt=0025 ADD_EDGE edge_id=e_ce1003f17b01 source=n_c2f1008c98ea edge_type=refutes target=n_70730577c66d\nt=0026 ADD_EDGE edge_id=e_e17f179285ae source=n_6fa875ee3f0e edge_type=supports target=n_2fd406b7e7e9\nt=0027 ADD_EDGE edge_id=e_ffd352108059 source=n_6167946a4e03 edge_type=refutes target=n_b466235de455\nt=0028 ADD_EDGE edge_id=e_4404766d5f6e source=n_0f32b6b91259 edge_type=supports target=n_6fa875ee3f0e\nt=0029 ADD_EDGE edge_id=e_4a964d68e757 source=n_0f32b6b91259 edge_type=refutes target=n_f183a66230b7\nt=0030 ADD_EDGE edge_id=e_e9f2d8b6167c source=n_2fd406b7e7e9 edge_type=refutes target=n_090f3e21387f\nt=0031 ADD_EDGE edge_id=e_40ddc8b60d40 source=n_6167946a4e03 edge_type=supports target=n_a808ff6c1c36\nt=0032 ADD_EDGE edge_id=e_4dc1add71428 source=n_a0530d28da5b edge_type=supports target=n_e69021ab0c5d\nt=0033 ADD_EDGE edge_id=e_95070eb3cf09 source=n_b3f2eb4bc925 edge_type=refutes target=n_9e80cd90426a\nt=0034 ADD_EDGE edge_id=e_d3d707af5f27 source=n_a0530d28da5b edge_type=supports target=n_b3f2eb4bc925\nt=0035 QUERY source=n_c2f1008c98ea target=n_223dbc1b50d2\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1739,"provenance":{"base_record_id":"train-d04-037","dataset":"livegraph-deterministic-parity-v3","depth":4,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d04-037","split":"train","variant":"clean"},"record_seed":416272245070215427,"render_sha256":"624da7fa9b3c08989c1c076fd688fd92732be825b1171e5e68df846a5ddd93b0","representation":"linear_trace","semantic_sha256":"e7f3995d4d52b354ea2551eb67a6e0705e16379ec93fd9916fbab063dd0f2315"}
{"char_count":3231,"item_id":"train-d04-038::linear_trace","label":"TRUE","lexical_token_proxy_count":556,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_916020b57181 node_type=claim\nt=0001 CREATE_NODE id=n_d0ad708cad7c node_type=claim\nt=0002 CREATE_NODE id=n_49be850f3a5b node_type=claim\nt=0003 CREATE_NODE id=n_221af6fab0da node_type=claim\nt=0004 CREATE_NODE id=n_2cb409563104 node_type=claim\nt=0005 CREATE_NODE id=n_478bd5c7ad09 node_type=claim\nt=0006 CREATE_NODE id=n_0d8384a415a6 node_type=claim\nt=0007 CREATE_NODE id=n_a4be34850ca4 node_type=claim\nt=0008 CREATE_NODE id=n_03d2c6e9663e node_type=claim\nt=0009 CREATE_NODE id=n_50a8cf6ed184 node_type=claim\nt=0010 CREATE_NODE id=n_ebe04faf3acf node_type=claim\nt=0011 CREATE_NODE id=n_452243911e9a node_type=claim\nt=0012 CREATE_NODE id=n_9e8e4ed8b4d3 node_type=claim\nt=0013 CREATE_NODE id=n_bda6c9d3114f node_type=claim\nt=0014 CREATE_NODE id=n_552249003173 node_type=claim\nt=0015 CREATE_NODE id=n_497393cbb963 node_type=claim\nt=0016 CREATE_NODE id=n_65ec95a5aaff node_type=claim\nt=0017 CREATE_NODE id=n_8ab3b25587a8 node_type=claim\nt=0018 ASSERT_ROOT node=n_50a8cf6ed184 value=FALSE\nt=0019 ADD_EDGE edge_id=e_e526efcd7fdd source=n_552249003173 edge_type=refutes target=n_bda6c9d3114f\nt=0020 ADD_EDGE edge_id=e_28f459d7b368 source=n_552249003173 edge_type=supports target=n_497393cbb963\nt=0021 ADD_EDGE edge_id=e_3ad4653be2a2 source=n_bda6c9d3114f edge_type=refutes target=n_03d2c6e9663e\nt=0022 ADD_EDGE edge_id=e_b95d9d26c079 source=n_d0ad708cad7c edge_type=supports target=n_65ec95a5aaff\nt=0023 ADD_EDGE edge_id=e_aaa0cc0a018e source=n_478bd5c7ad09 edge_type=supports target=n_916020b57181\nt=0024 ADD_EDGE edge_id=e_787abdce1fe7 source=n_452243911e9a edge_type=supports target=n_0d8384a415a6\nt=0025 ADD_EDGE edge_id=e_bff54cedd277 source=n_9e8e4ed8b4d3 edge_type=refutes target=n_a4be34850ca4\nt=0026 ADD_EDGE edge_id=e_29cb5951af4e source=n_452243911e9a edge_type=supports target=n_2cb409563104\nt=0027 ADD_EDGE edge_id=e_e4c44255ecb6 source=n_916020b57181 edge_type=refutes target=n_8ab3b25587a8\nt=0028 ADD_EDGE edge_id=e_facbbe27a76b source=n_50a8cf6ed184 edge_type=refutes target=n_552249003173\nt=0029 ADD_EDGE edge_id=e_ed98f67761fd source=n_478bd5c7ad09 edge_type=refutes target=n_9e8e4ed8b4d3\nt=0030 ADD_EDGE edge_id=e_edb6922072b7 source=n_478bd5c7ad09 edge_type=refutes target=n_49be850f3a5b\nt=0031 ADD_EDGE edge_id=e_53395df83a2f source=n_bda6c9d3114f edge_type=refutes target=n_221af6fab0da\nt=0032 ADD_EDGE edge_id=e_ba974e0a3ae7 source=n_916020b57181 edge_type=supports target=n_d0ad708cad7c\nt=0033 ADD_EDGE edge_id=e_d0026e9d6f1d source=n_221af6fab0da edge_type=supports target=n_452243911e9a\nt=0034 ADD_EDGE edge_id=e_d70d2acbf456 source=n_d0ad708cad7c edge_type=supports target=n_ebe04faf3acf\nt=0035 QUERY source=n_50a8cf6ed184 target=n_452243911e9a\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1698,"provenance":{"base_record_id":"train-d04-038","dataset":"livegraph-deterministic-parity-v3","depth":4,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d04-038","split":"train","variant":"clean"},"record_seed":624879631123957958,"render_sha256":"dde96fead9d09fc86f056904d213284637665c7bde09cc446bbe0c005107406e","representation":"linear_trace","semantic_sha256":"f6368e03b0c8276e2633ad67f12d33e49b97674fafd1dcd56ed3d6a8ab56bd86"}
{"char_count":3231,"item_id":"train-d04-039::linear_trace","label":"FALSE","lexical_token_proxy_count":556,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_a83014d45762 node_type=claim\nt=0001 CREATE_NODE id=n_1f29aee2f041 node_type=claim\nt=0002 CREATE_NODE id=n_b6e48de6b144 node_type=claim\nt=0003 CREATE_NODE id=n_84c8582cbd07 node_type=claim\nt=0004 CREATE_NODE id=n_5b6f326120c2 node_type=claim\nt=0005 CREATE_NODE id=n_2bf982f050df node_type=claim\nt=0006 CREATE_NODE id=n_1a994a74989d node_type=claim\nt=0007 CREATE_NODE id=n_59a9e20a0636 node_type=claim\nt=0008 CREATE_NODE id=n_f5936c95cc63 node_type=claim\nt=0009 CREATE_NODE id=n_bac746f5f7b4 node_type=claim\nt=0010 CREATE_NODE id=n_b5c7dc802053 node_type=claim\nt=0011 CREATE_NODE id=n_95c457ce6263 node_type=claim\nt=0012 CREATE_NODE id=n_5b69cff28f5c node_type=claim\nt=0013 CREATE_NODE id=n_ec37fb0cd37b node_type=claim\nt=0014 CREATE_NODE id=n_b100e7703252 node_type=claim\nt=0015 CREATE_NODE id=n_648b10c1b55d node_type=claim\nt=0016 CREATE_NODE id=n_3b5dff556614 node_type=claim\nt=0017 CREATE_NODE id=n_b56233dd9ae9 node_type=claim\nt=0018 ASSERT_ROOT node=n_5b69cff28f5c value=FALSE\nt=0019 ADD_EDGE edge_id=e_ea07c8f223f5 source=n_bac746f5f7b4 edge_type=supports target=n_b100e7703252\nt=0020 ADD_EDGE edge_id=e_06f932aea2fd source=n_b56233dd9ae9 edge_type=refutes target=n_95c457ce6263\nt=0021 ADD_EDGE edge_id=e_1c88dbe051a1 source=n_59a9e20a0636 edge_type=supports target=n_b6e48de6b144\nt=0022 ADD_EDGE edge_id=e_6ab5c6f083be source=n_3b5dff556614 edge_type=refutes target=n_648b10c1b55d\nt=0023 ADD_EDGE edge_id=e_ddfce36119a3 source=n_bac746f5f7b4 edge_type=supports target=n_f5936c95cc63\nt=0024 ADD_EDGE edge_id=e_3d06e11723d2 source=n_5b69cff28f5c edge_type=refutes target=n_59a9e20a0636\nt=0025 ADD_EDGE edge_id=e_5b2601b2eec7 source=n_84c8582cbd07 edge_type=supports target=n_2bf982f050df\nt=0026 ADD_EDGE edge_id=e_0fdeebc9125a source=n_ec37fb0cd37b edge_type=supports target=n_84c8582cbd07\nt=0027 ADD_EDGE edge_id=e_4c74bc82895d source=n_95c457ce6263 edge_type=refutes target=n_1a994a74989d\nt=0028 ADD_EDGE edge_id=e_8e1e7b4b0818 source=n_b6e48de6b144 edge_type=refutes target=n_bac746f5f7b4\nt=0029 ADD_EDGE edge_id=e_834f31b49ce2 source=n_5b69cff28f5c edge_type=refutes target=n_5b6f326120c2\nt=0030 ADD_EDGE edge_id=e_9da54081b64a source=n_84c8582cbd07 edge_type=refutes target=n_b56233dd9ae9\nt=0031 ADD_EDGE edge_id=e_d4ef411818d6 source=n_b6e48de6b144 edge_type=supports target=n_a83014d45762\nt=0032 ADD_EDGE edge_id=e_565c1ebc30e0 source=n_b56233dd9ae9 edge_type=supports target=n_3b5dff556614\nt=0033 ADD_EDGE edge_id=e_caac79d01630 source=n_b100e7703252 edge_type=supports target=n_b5c7dc802053\nt=0034 ADD_EDGE edge_id=e_e7cb85413d68 source=n_1a994a74989d edge_type=refutes target=n_1f29aee2f041\nt=0035 QUERY source=n_5b69cff28f5c target=n_b100e7703252\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1731,"provenance":{"base_record_id":"train-d04-039","dataset":"livegraph-deterministic-parity-v3","depth":4,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d04-039","split":"train","variant":"clean"},"record_seed":1125280994969514294,"render_sha256":"6df868d22904a57a3a8c6871f8ac030c9ffc4d08cec631294431df108bef9311","representation":"linear_trace","semantic_sha256":"ba3cb3e72ae2fb173e4da51d5b24aca7cc833a0872a778455a51e48272337a1f"}
{"char_count":3230,"item_id":"train-d04-040::linear_trace","label":"TRUE","lexical_token_proxy_count":556,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_af5c9369b9c1 node_type=claim\nt=0001 CREATE_NODE id=n_a0f4d204caa0 node_type=claim\nt=0002 CREATE_NODE id=n_7cfbcbd3eb92 node_type=claim\nt=0003 CREATE_NODE id=n_8daf45ae90c7 node_type=claim\nt=0004 CREATE_NODE id=n_39f03b641375 node_type=claim\nt=0005 CREATE_NODE id=n_f28c022c66ad node_type=claim\nt=0006 CREATE_NODE id=n_d40d0ebfe63e node_type=claim\nt=0007 CREATE_NODE id=n_2d7436a872f9 node_type=claim\nt=0008 CREATE_NODE id=n_0a44805bf580 node_type=claim\nt=0009 CREATE_NODE id=n_9fa4b85e1b70 node_type=claim\nt=0010 CREATE_NODE id=n_1e62f9f6d455 node_type=claim\nt=0011 CREATE_NODE id=n_0c8c6a5bb3e2 node_type=claim\nt=0012 CREATE_NODE id=n_9af8f0f11fc1 node_type=claim\nt=0013 CREATE_NODE id=n_29bb24a1b917 node_type=claim\nt=0014 CREATE_NODE id=n_509211dea231 node_type=claim\nt=0015 CREATE_NODE id=n_3885e4cd99cd node_type=claim\nt=0016 CREATE_NODE id=n_798eb32ed9cb node_type=claim\nt=0017 CREATE_NODE id=n_6bb52b58c5a6 node_type=claim\nt=0018 ASSERT_ROOT node=n_39f03b641375 value=TRUE\nt=0019 ADD_EDGE edge_id=e_659ce830d2b9 source=n_af5c9369b9c1 edge_type=refutes target=n_9fa4b85e1b70\nt=0020 ADD_EDGE edge_id=e_e4d470b18c61 source=n_509211dea231 edge_type=supports target=n_f28c022c66ad\nt=0021 ADD_EDGE edge_id=e_7ccaffd137f4 source=n_3885e4cd99cd edge_type=supports target=n_798eb32ed9cb\nt=0022 ADD_EDGE edge_id=e_f7ed351be401 source=n_29bb24a1b917 edge_type=refutes target=n_0a44805bf580\nt=0023 ADD_EDGE edge_id=e_34b4f489eba3 source=n_0a44805bf580 edge_type=refutes target=n_1e62f9f6d455\nt=0024 ADD_EDGE edge_id=e_48b64c52cf02 source=n_6bb52b58c5a6 edge_type=refutes target=n_a0f4d204caa0\nt=0025 ADD_EDGE edge_id=e_dad70a98a87a source=n_0c8c6a5bb3e2 edge_type=refutes target=n_6bb52b58c5a6\nt=0026 ADD_EDGE edge_id=e_c55e3ea65d71 source=n_39f03b641375 edge_type=supports target=n_0c8c6a5bb3e2\nt=0027 ADD_EDGE edge_id=e_9ecbe2820913 source=n_0c8c6a5bb3e2 edge_type=refutes target=n_d40d0ebfe63e\nt=0028 ADD_EDGE edge_id=e_9c15e1279805 source=n_39f03b641375 edge_type=supports target=n_7cfbcbd3eb92\nt=0029 ADD_EDGE edge_id=e_aac302bbef9a source=n_8daf45ae90c7 edge_type=supports target=n_2d7436a872f9\nt=0030 ADD_EDGE edge_id=e_f4e2b3b542c7 source=n_3885e4cd99cd edge_type=refutes target=n_29bb24a1b917\nt=0031 ADD_EDGE edge_id=e_c1170f9f0c7a source=n_9af8f0f11fc1 edge_type=refutes target=n_af5c9369b9c1\nt=0032 ADD_EDGE edge_id=e_0cd4af7ff51a source=n_0a44805bf580 edge_type=supports target=n_509211dea231\nt=0033 ADD_EDGE edge_id=e_ca15fa6d5b6f source=n_6bb52b58c5a6 edge_type=supports target=n_9af8f0f11fc1\nt=0034 ADD_EDGE edge_id=e_4bc303159fa8 source=n_3885e4cd99cd edge_type=supports target=n_8daf45ae90c7\nt=0035 QUERY source=n_39f03b641375 target=n_af5c9369b9c1\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1707,"provenance":{"base_record_id":"train-d04-040","dataset":"livegraph-deterministic-parity-v3","depth":4,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d04-040","split":"train","variant":"clean"},"record_seed":338323182622280119,"render_sha256":"fd0595db32ff7bc8a5195fe57f6afb300841b1c495f9750b06452bf374e65609","representation":"linear_trace","semantic_sha256":"c58bfd56126627e0eb16a60fb2844f69b2c91f7b75d5c88f7810a1668c0c76e0"}
{"char_count":3230,"item_id":"train-d04-041::linear_trace","label":"FALSE","lexical_token_proxy_count":556,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_2b3f8d429b3f node_type=claim\nt=0001 CREATE_NODE id=n_a410ae61973b node_type=claim\nt=0002 CREATE_NODE id=n_4e1b4b8b5ad8 node_type=claim\nt=0003 CREATE_NODE id=n_5f3f5bea8566 node_type=claim\nt=0004 CREATE_NODE id=n_ee9021abaa4d node_type=claim\nt=0005 CREATE_NODE id=n_f9bd8c2a2cd7 node_type=claim\nt=0006 CREATE_NODE id=n_7f408d6afbde node_type=claim\nt=0007 CREATE_NODE id=n_641bb24a4b08 node_type=claim\nt=0008 CREATE_NODE id=n_a5347c080135 node_type=claim\nt=0009 CREATE_NODE id=n_ba53f2723cf9 node_type=claim\nt=0010 CREATE_NODE id=n_53162d9e68f3 node_type=claim\nt=0011 CREATE_NODE id=n_f04618d47127 node_type=claim\nt=0012 CREATE_NODE id=n_72e08bd1b051 node_type=claim\nt=0013 CREATE_NODE id=n_12e79249c682 node_type=claim\nt=0014 CREATE_NODE id=n_9a56a08d2114 node_type=claim\nt=0015 CREATE_NODE id=n_30489a452c89 node_type=claim\nt=0016 CREATE_NODE id=n_697c93215297 node_type=claim\nt=0017 CREATE_NODE id=n_4a6b71cf4fdf node_type=claim\nt=0018 ASSERT_ROOT node=n_72e08bd1b051 value=TRUE\nt=0019 ADD_EDGE edge_id=e_f48f07f4b08c source=n_72e08bd1b051 edge_type=refutes target=n_a410ae61973b\nt=0020 ADD_EDGE edge_id=e_90b4ee741a1c source=n_641bb24a4b08 edge_type=supports target=n_4a6b71cf4fdf\nt=0021 ADD_EDGE edge_id=e_b2ec03e2d194 source=n_72e08bd1b051 edge_type=refutes target=n_f9bd8c2a2cd7\nt=0022 ADD_EDGE edge_id=e_0e1634072d49 source=n_ba53f2723cf9 edge_type=supports target=n_697c93215297\nt=0023 ADD_EDGE edge_id=e_2e1891089697 source=n_4a6b71cf4fdf edge_type=refutes target=n_53162d9e68f3\nt=0024 ADD_EDGE edge_id=e_0301c758cf8a source=n_ee9021abaa4d edge_type=refutes target=n_2b3f8d429b3f\nt=0025 ADD_EDGE edge_id=e_369128118af9 source=n_30489a452c89 edge_type=refutes target=n_f04618d47127\nt=0026 ADD_EDGE edge_id=e_8a8dfe547e8a source=n_72e08bd1b051 edge_type=supports target=n_ba53f2723cf9\nt=0027 ADD_EDGE edge_id=e_9c2aeceaa919 source=n_ba53f2723cf9 edge_type=supports target=n_30489a452c89\nt=0028 ADD_EDGE edge_id=e_0938980989f0 source=n_5f3f5bea8566 edge_type=refutes target=n_7f408d6afbde\nt=0029 ADD_EDGE edge_id=e_f530fe1e8260 source=n_7f408d6afbde edge_type=supports target=n_a5347c080135\nt=0030 ADD_EDGE edge_id=e_637f4df4c546 source=n_53162d9e68f3 edge_type=refutes target=n_9a56a08d2114\nt=0031 ADD_EDGE edge_id=e_f4d4f045d130 source=n_4a6b71cf4fdf edge_type=supports target=n_5f3f5bea8566\nt=0032 ADD_EDGE edge_id=e_a8f28dbf1471 source=n_4a6b71cf4fdf edge_type=supports target=n_4e1b4b8b5ad8\nt=0033 ADD_EDGE edge_id=e_3cb81fe04175 source=n_7f408d6afbde edge_type=refutes target=n_12e79249c682\nt=0034 ADD_EDGE edge_id=e_e6a6d82a0fde source=n_f04618d47127 edge_type=supports target=n_ee9021abaa4d\nt=0035 QUERY source=n_72e08bd1b051 target=n_ee9021abaa4d\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1731,"provenance":{"base_record_id":"train-d04-041","dataset":"livegraph-deterministic-parity-v3","depth":4,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d04-041","split":"train","variant":"clean"},"record_seed":26003106318324713,"render_sha256":"5b79391e3edb0f0c844ff0938c02d48aae152daf7e9b7d53d788fa4d8dc8f417","representation":"linear_trace","semantic_sha256":"e201d1fb365b836540547a34b372e80eb59db44ad90d932f6a4ce34e8503f173"}
{"char_count":3231,"item_id":"train-d04-042::linear_trace","label":"TRUE","lexical_token_proxy_count":556,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_658411b5bf9d node_type=claim\nt=0001 CREATE_NODE id=n_e263ea142830 node_type=claim\nt=0002 CREATE_NODE id=n_1233d492c0f9 node_type=claim\nt=0003 CREATE_NODE id=n_10448952f9d9 node_type=claim\nt=0004 CREATE_NODE id=n_a63c43f3d4d2 node_type=claim\nt=0005 CREATE_NODE id=n_a76db63a1fee node_type=claim\nt=0006 CREATE_NODE id=n_1c8d43ec0525 node_type=claim\nt=0007 CREATE_NODE id=n_41e5210b187a node_type=claim\nt=0008 CREATE_NODE id=n_9d5badf052a3 node_type=claim\nt=0009 CREATE_NODE id=n_817a7b7770a4 node_type=claim\nt=0010 CREATE_NODE id=n_a5253450db3e node_type=claim\nt=0011 CREATE_NODE id=n_9b564bd5db96 node_type=claim\nt=0012 CREATE_NODE id=n_9108f789a501 node_type=claim\nt=0013 CREATE_NODE id=n_07cbe9a3f591 node_type=claim\nt=0014 CREATE_NODE id=n_84814f28a39e node_type=claim\nt=0015 CREATE_NODE id=n_bc85bae65f27 node_type=claim\nt=0016 CREATE_NODE id=n_9a522f459642 node_type=claim\nt=0017 CREATE_NODE id=n_06549c01a391 node_type=claim\nt=0018 ASSERT_ROOT node=n_a5253450db3e value=FALSE\nt=0019 ADD_EDGE edge_id=e_7c99ff799ab9 source=n_10448952f9d9 edge_type=refutes target=n_41e5210b187a\nt=0020 ADD_EDGE edge_id=e_fd432810fede source=n_817a7b7770a4 edge_type=refutes target=n_1233d492c0f9\nt=0021 ADD_EDGE edge_id=e_e596c08899ec source=n_10448952f9d9 edge_type=refutes target=n_817a7b7770a4\nt=0022 ADD_EDGE edge_id=e_d4a44502b304 source=n_1233d492c0f9 edge_type=refutes target=n_9d5badf052a3\nt=0023 ADD_EDGE edge_id=e_c7de55e5c2a6 source=n_10448952f9d9 edge_type=supports target=n_1c8d43ec0525\nt=0024 ADD_EDGE edge_id=e_e58095d041b0 source=n_1233d492c0f9 edge_type=refutes target=n_9a522f459642\nt=0025 ADD_EDGE edge_id=e_fda773a33012 source=n_84814f28a39e edge_type=refutes target=n_e263ea142830\nt=0026 ADD_EDGE edge_id=e_ff5c1f540f42 source=n_a5253450db3e edge_type=supports target=n_10448952f9d9\nt=0027 ADD_EDGE edge_id=e_ae36d5950c75 source=n_9b564bd5db96 edge_type=refutes target=n_a63c43f3d4d2\nt=0028 ADD_EDGE edge_id=e_e97eec6247f3 source=n_e263ea142830 edge_type=supports target=n_a76db63a1fee\nt=0029 ADD_EDGE edge_id=e_4af8acbaaae8 source=n_9b564bd5db96 edge_type=refutes target=n_9108f789a501\nt=0030 ADD_EDGE edge_id=e_f15a604d76a2 source=n_bc85bae65f27 edge_type=supports target=n_84814f28a39e\nt=0031 ADD_EDGE edge_id=e_5317a537434a source=n_9b564bd5db96 edge_type=supports target=n_06549c01a391\nt=0032 ADD_EDGE edge_id=e_8d722a9c06f9 source=n_bc85bae65f27 edge_type=supports target=n_9b564bd5db96\nt=0033 ADD_EDGE edge_id=e_bf35c92c5c63 source=n_bc85bae65f27 edge_type=supports target=n_07cbe9a3f591\nt=0034 ADD_EDGE edge_id=e_7d81832d5118 source=n_1233d492c0f9 edge_type=supports target=n_658411b5bf9d\nt=0035 QUERY source=n_a5253450db3e target=n_9a522f459642\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1743,"provenance":{"base_record_id":"train-d04-042","dataset":"livegraph-deterministic-parity-v3","depth":4,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d04-042","split":"train","variant":"clean"},"record_seed":80220060697237115,"render_sha256":"0c660f6680e7de05f65a44108759c488bc58a849ff7681025cd80f4f8d173edb","representation":"linear_trace","semantic_sha256":"68204e5510b3f42a12d5565a254a9034deb7ceeff4e88af10af4e1f093d957e7"}
{"char_count":3231,"item_id":"train-d04-043::linear_trace","label":"FALSE","lexical_token_proxy_count":556,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_83be656dc4cc node_type=claim\nt=0001 CREATE_NODE id=n_5f8fba84c2dc node_type=claim\nt=0002 CREATE_NODE id=n_7f9d6f599a21 node_type=claim\nt=0003 CREATE_NODE id=n_5627ea883288 node_type=claim\nt=0004 CREATE_NODE id=n_c7e828ed0b9f node_type=claim\nt=0005 CREATE_NODE id=n_769ec52ac91b node_type=claim\nt=0006 CREATE_NODE id=n_4d517ec39cdd node_type=claim\nt=0007 CREATE_NODE id=n_620c9a268279 node_type=claim\nt=0008 CREATE_NODE id=n_32f69d7fb2a6 node_type=claim\nt=0009 CREATE_NODE id=n_98cb36f3b561 node_type=claim\nt=0010 CREATE_NODE id=n_eaa0af2c7e0e node_type=claim\nt=0011 CREATE_NODE id=n_b87f207d44e5 node_type=claim\nt=0012 CREATE_NODE id=n_3263172d5685 node_type=claim\nt=0013 CREATE_NODE id=n_8da93ee7d20a node_type=claim\nt=0014 CREATE_NODE id=n_bb1908686cb7 node_type=claim\nt=0015 CREATE_NODE id=n_37aaaa58f4be node_type=claim\nt=0016 CREATE_NODE id=n_034534023ef0 node_type=claim\nt=0017 CREATE_NODE id=n_8c92b1a17c5e node_type=claim\nt=0018 ASSERT_ROOT node=n_620c9a268279 value=FALSE\nt=0019 ADD_EDGE edge_id=e_105badb5ff34 source=n_8da93ee7d20a edge_type=supports target=n_98cb36f3b561\nt=0020 ADD_EDGE edge_id=e_43fcce7cbb94 source=n_bb1908686cb7 edge_type=supports target=n_83be656dc4cc\nt=0021 ADD_EDGE edge_id=e_6fcdce258e9c source=n_37aaaa58f4be edge_type=refutes target=n_8da93ee7d20a\nt=0022 ADD_EDGE edge_id=e_f9afe3a59978 source=n_eaa0af2c7e0e edge_type=refutes target=n_37aaaa58f4be\nt=0023 ADD_EDGE edge_id=e_89396db5ce78 source=n_83be656dc4cc edge_type=supports target=n_32f69d7fb2a6\nt=0024 ADD_EDGE edge_id=e_be52720e7b86 source=n_4d517ec39cdd edge_type=supports target=n_5f8fba84c2dc\nt=0025 ADD_EDGE edge_id=e_91b09ce1201e source=n_bb1908686cb7 edge_type=refutes target=n_c7e828ed0b9f\nt=0026 ADD_EDGE edge_id=e_6fb31973f1fd source=n_620c9a268279 edge_type=refutes target=n_eaa0af2c7e0e\nt=0027 ADD_EDGE edge_id=e_c7d87dee499d source=n_8da93ee7d20a edge_type=refutes target=n_3263172d5685\nt=0028 ADD_EDGE edge_id=e_d0ced0d9c39f source=n_5627ea883288 edge_type=supports target=n_4d517ec39cdd\nt=0029 ADD_EDGE edge_id=e_9b05f8adf6c7 source=n_32f69d7fb2a6 edge_type=refutes target=n_8c92b1a17c5e\nt=0030 ADD_EDGE edge_id=e_6b8b709e73b0 source=n_bb1908686cb7 edge_type=supports target=n_5627ea883288\nt=0031 ADD_EDGE edge_id=e_e62a33ae78a1 source=n_8da93ee7d20a edge_type=supports target=n_769ec52ac91b\nt=0032 ADD_EDGE edge_id=e_f6cad57ce9c2 source=n_37aaaa58f4be edge_type=refutes target=n_034534023ef0\nt=0033 ADD_EDGE edge_id=e_762e0432e786 source=n_3263172d5685 edge_type=supports target=n_b87f207d44e5\nt=0034 ADD_EDGE edge_id=e_2ee527e5aee4 source=n_bb1908686cb7 edge_type=refutes target=n_7f9d6f599a21\nt=0035 QUERY source=n_620c9a268279 target=n_3263172d5685\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1698,"provenance":{"base_record_id":"train-d04-043","dataset":"livegraph-deterministic-parity-v3","depth":4,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d04-043","split":"train","variant":"clean"},"record_seed":906897159691815618,"render_sha256":"5c6ab89ddbeb123e486ff7bc06b29232293e9285f755be8e23c9be1ea8018091","representation":"linear_trace","semantic_sha256":"e51db9793639aadea21fbd88be88b9affe2e0c737dd1330e107049b78b5f136d"}
{"char_count":3230,"item_id":"train-d04-044::linear_trace","label":"TRUE","lexical_token_proxy_count":556,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_59d7b350d592 node_type=claim\nt=0001 CREATE_NODE id=n_53512f2de186 node_type=claim\nt=0002 CREATE_NODE id=n_797b5dee726e node_type=claim\nt=0003 CREATE_NODE id=n_cca1d18394c1 node_type=claim\nt=0004 CREATE_NODE id=n_75e3f7e8dae5 node_type=claim\nt=0005 CREATE_NODE id=n_c72e2ee9cadb node_type=claim\nt=0006 CREATE_NODE id=n_760402e5a24b node_type=claim\nt=0007 CREATE_NODE id=n_1efbb0f5d84a node_type=claim\nt=0008 CREATE_NODE id=n_e925c8a6475f node_type=claim\nt=0009 CREATE_NODE id=n_9dc25f47a6a2 node_type=claim\nt=0010 CREATE_NODE id=n_67177132d302 node_type=claim\nt=0011 CREATE_NODE id=n_315f74a019d2 node_type=claim\nt=0012 CREATE_NODE id=n_564c3353eb55 node_type=claim\nt=0013 CREATE_NODE id=n_5b972eacdd25 node_type=claim\nt=0014 CREATE_NODE id=n_7c89f1dcb22c node_type=claim\nt=0015 CREATE_NODE id=n_4802d2997ae0 node_type=claim\nt=0016 CREATE_NODE id=n_0a44cee19fc3 node_type=claim\nt=0017 CREATE_NODE id=n_cebdc52a49da node_type=claim\nt=0018 ASSERT_ROOT node=n_53512f2de186 value=TRUE\nt=0019 ADD_EDGE edge_id=e_67404f1a7c44 source=n_5b972eacdd25 edge_type=supports target=n_564c3353eb55\nt=0020 ADD_EDGE edge_id=e_16d73cf52903 source=n_53512f2de186 edge_type=supports target=n_c72e2ee9cadb\nt=0021 ADD_EDGE edge_id=e_560d34cf0293 source=n_797b5dee726e edge_type=supports target=n_7c89f1dcb22c\nt=0022 ADD_EDGE edge_id=e_931648674bab source=n_53512f2de186 edge_type=supports target=n_1efbb0f5d84a\nt=0023 ADD_EDGE edge_id=e_8905dd919998 source=n_564c3353eb55 edge_type=supports target=n_67177132d302\nt=0024 ADD_EDGE edge_id=e_d8b3e65c52c7 source=n_5b972eacdd25 edge_type=refutes target=n_e925c8a6475f\nt=0025 ADD_EDGE edge_id=e_1c2172871cc8 source=n_797b5dee726e edge_type=refutes target=n_9dc25f47a6a2\nt=0026 ADD_EDGE edge_id=e_f78b913c5ba1 source=n_75e3f7e8dae5 edge_type=refutes target=n_315f74a019d2\nt=0027 ADD_EDGE edge_id=e_5baada720599 source=n_75e3f7e8dae5 edge_type=supports target=n_4802d2997ae0\nt=0028 ADD_EDGE edge_id=e_0a044fd1cd11 source=n_760402e5a24b edge_type=supports target=n_797b5dee726e\nt=0029 ADD_EDGE edge_id=e_ba931467b389 source=n_75e3f7e8dae5 edge_type=refutes target=n_760402e5a24b\nt=0030 ADD_EDGE edge_id=e_c1182ed37c17 source=n_c72e2ee9cadb edge_type=refutes target=n_0a44cee19fc3\nt=0031 ADD_EDGE edge_id=e_62c9b444556c source=n_c72e2ee9cadb edge_type=supports target=n_5b972eacdd25\nt=0032 ADD_EDGE edge_id=e_3ddaf33b5a22 source=n_760402e5a24b edge_type=refutes target=n_cebdc52a49da\nt=0033 ADD_EDGE edge_id=e_960768368aa4 source=n_67177132d302 edge_type=refutes target=n_59d7b350d592\nt=0034 ADD_EDGE edge_id=e_09cef6e7d16b source=n_4802d2997ae0 edge_type=refutes target=n_cca1d18394c1\nt=0035 QUERY source=n_53512f2de186 target=n_67177132d302\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1720,"provenance":{"base_record_id":"train-d04-044","dataset":"livegraph-deterministic-parity-v3","depth":4,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d04-044","split":"train","variant":"clean"},"record_seed":807958889551058407,"render_sha256":"d87980c37d18978c7f501c952283e8d6e53c4eaefb1b472807f2d881f71d321f","representation":"linear_trace","semantic_sha256":"363ca6dc9858bdf19b5c1c02647619e1ed4b42058f86de494d254ec9c9d3e6f3"}
{"char_count":3230,"item_id":"train-d04-045::linear_trace","label":"FALSE","lexical_token_proxy_count":556,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_4dbd32c71764 node_type=claim\nt=0001 CREATE_NODE id=n_2a08b58d19f4 node_type=claim\nt=0002 CREATE_NODE id=n_b486176c817b node_type=claim\nt=0003 CREATE_NODE id=n_a276047f4f38 node_type=claim\nt=0004 CREATE_NODE id=n_699fe994a881 node_type=claim\nt=0005 CREATE_NODE id=n_8d1b3a155881 node_type=claim\nt=0006 CREATE_NODE id=n_342573b03879 node_type=claim\nt=0007 CREATE_NODE id=n_9b9fe98c768c node_type=claim\nt=0008 CREATE_NODE id=n_675cc869b0eb node_type=claim\nt=0009 CREATE_NODE id=n_e86b2ccea47d node_type=claim\nt=0010 CREATE_NODE id=n_5856c8d9a8fb node_type=claim\nt=0011 CREATE_NODE id=n_1508e4f94f25 node_type=claim\nt=0012 CREATE_NODE id=n_de2d752926fb node_type=claim\nt=0013 CREATE_NODE id=n_800fb6ff0ba2 node_type=claim\nt=0014 CREATE_NODE id=n_85f47f96c796 node_type=claim\nt=0015 CREATE_NODE id=n_78d422c0f5e4 node_type=claim\nt=0016 CREATE_NODE id=n_ed5e2d5ca266 node_type=claim\nt=0017 CREATE_NODE id=n_7412032ff311 node_type=claim\nt=0018 ASSERT_ROOT node=n_5856c8d9a8fb value=TRUE\nt=0019 ADD_EDGE edge_id=e_30d561b675bc source=n_8d1b3a155881 edge_type=supports target=n_342573b03879\nt=0020 ADD_EDGE edge_id=e_e751a3448fd5 source=n_e86b2ccea47d edge_type=refutes target=n_de2d752926fb\nt=0021 ADD_EDGE edge_id=e_bef5818f2bb2 source=n_de2d752926fb edge_type=refutes target=n_9b9fe98c768c\nt=0022 ADD_EDGE edge_id=e_3edc967bf5a5 source=n_5856c8d9a8fb edge_type=supports target=n_ed5e2d5ca266\nt=0023 ADD_EDGE edge_id=e_45450411e52f source=n_2a08b58d19f4 edge_type=supports target=n_b486176c817b\nt=0024 ADD_EDGE edge_id=e_5286c153af75 source=n_e86b2ccea47d edge_type=supports target=n_2a08b58d19f4\nt=0025 ADD_EDGE edge_id=e_530fab36eb7e source=n_b486176c817b edge_type=supports target=n_a276047f4f38\nt=0026 ADD_EDGE edge_id=e_bc7f27f33990 source=n_a276047f4f38 edge_type=refutes target=n_85f47f96c796\nt=0027 ADD_EDGE edge_id=e_efe445a77fdd source=n_ed5e2d5ca266 edge_type=refutes target=n_800fb6ff0ba2\nt=0028 ADD_EDGE edge_id=e_dd2420fc1077 source=n_8d1b3a155881 edge_type=refutes target=n_1508e4f94f25\nt=0029 ADD_EDGE edge_id=e_fb0cbdafc780 source=n_675cc869b0eb edge_type=refutes target=n_8d1b3a155881\nt=0030 ADD_EDGE edge_id=e_8957641acff7 source=n_e86b2ccea47d edge_type=supports target=n_4dbd32c71764\nt=0031 ADD_EDGE edge_id=e_e2ffb75b4e39 source=n_e86b2ccea47d edge_type=supports target=n_699fe994a881\nt=0032 ADD_EDGE edge_id=e_c60c6e71a48c source=n_ed5e2d5ca266 edge_type=refutes target=n_675cc869b0eb\nt=0033 ADD_EDGE edge_id=e_9847c699962f source=n_ed5e2d5ca266 edge_type=supports target=n_78d422c0f5e4\nt=0034 ADD_EDGE edge_id=e_ac76ab1a5ab0 source=n_675cc869b0eb edge_type=refutes target=n_7412032ff311\nt=0035 QUERY source=n_5856c8d9a8fb target=n_1508e4f94f25\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1727,"provenance":{"base_record_id":"train-d04-045","dataset":"livegraph-deterministic-parity-v3","depth":4,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d04-045","split":"train","variant":"clean"},"record_seed":1133631935520450980,"render_sha256":"edaa6da99b7788adc796b397cd514ec43b713ec563f518838c922cfa52b7dbbe","representation":"linear_trace","semantic_sha256":"d9e826c32afddfa606d912af22a77867a74b1e6514c255c9e095b0fdf0a55720"}
{"char_count":3231,"item_id":"train-d04-046::linear_trace","label":"TRUE","lexical_token_proxy_count":556,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_280341591ef2 node_type=claim\nt=0001 CREATE_NODE id=n_0f449296fcf9 node_type=claim\nt=0002 CREATE_NODE id=n_5053d014c110 node_type=claim\nt=0003 CREATE_NODE id=n_ffd886321be6 node_type=claim\nt=0004 CREATE_NODE id=n_4a0d16c66641 node_type=claim\nt=0005 CREATE_NODE id=n_cb4e99dba7bd node_type=claim\nt=0006 CREATE_NODE id=n_0e9aa0a9595d node_type=claim\nt=0007 CREATE_NODE id=n_09f566b36603 node_type=claim\nt=0008 CREATE_NODE id=n_8020332418c6 node_type=claim\nt=0009 CREATE_NODE id=n_b7efe8d03353 node_type=claim\nt=0010 CREATE_NODE id=n_bcc26106063f node_type=claim\nt=0011 CREATE_NODE id=n_4590968b2cbd node_type=claim\nt=0012 CREATE_NODE id=n_3062cc7748e9 node_type=claim\nt=0013 CREATE_NODE id=n_26c9818d1ae4 node_type=claim\nt=0014 CREATE_NODE id=n_a9bca6bc08b5 node_type=claim\nt=0015 CREATE_NODE id=n_a8642e80a0f6 node_type=claim\nt=0016 CREATE_NODE id=n_419144cf9688 node_type=claim\nt=0017 CREATE_NODE id=n_8ead1ac6d78b node_type=claim\nt=0018 ASSERT_ROOT node=n_4a0d16c66641 value=FALSE\nt=0019 ADD_EDGE edge_id=e_2f89c15f6539 source=n_26c9818d1ae4 edge_type=refutes target=n_0e9aa0a9595d\nt=0020 ADD_EDGE edge_id=e_d92eebdea7d9 source=n_4590968b2cbd edge_type=refutes target=n_3062cc7748e9\nt=0021 ADD_EDGE edge_id=e_a297d9f2f2d5 source=n_8ead1ac6d78b edge_type=supports target=n_bcc26106063f\nt=0022 ADD_EDGE edge_id=e_3fc9d5adfb6c source=n_cb4e99dba7bd edge_type=refutes target=n_26c9818d1ae4\nt=0023 ADD_EDGE edge_id=e_72a432f97902 source=n_0f449296fcf9 edge_type=supports target=n_b7efe8d03353\nt=0024 ADD_EDGE edge_id=e_f706b5b46491 source=n_ffd886321be6 edge_type=refutes target=n_09f566b36603\nt=0025 ADD_EDGE edge_id=e_a495535ac536 source=n_4a0d16c66641 edge_type=supports target=n_0f449296fcf9\nt=0026 ADD_EDGE edge_id=e_3bdeb485ea6b source=n_8ead1ac6d78b edge_type=refutes target=n_280341591ef2\nt=0027 ADD_EDGE edge_id=e_7de64a808bf3 source=n_0f449296fcf9 edge_type=supports target=n_4590968b2cbd\nt=0028 ADD_EDGE edge_id=e_af75da8de456 source=n_26c9818d1ae4 edge_type=refutes target=n_a8642e80a0f6\nt=0029 ADD_EDGE edge_id=e_56b3578a76b1 source=n_8020332418c6 edge_type=supports target=n_a9bca6bc08b5\nt=0030 ADD_EDGE edge_id=e_41cfbcda7ba9 source=n_ffd886321be6 edge_type=supports target=n_8ead1ac6d78b\nt=0031 ADD_EDGE edge_id=e_2b9fd98b90e9 source=n_8020332418c6 edge_type=supports target=n_5053d014c110\nt=0032 ADD_EDGE edge_id=e_d846d0bdadd9 source=n_4590968b2cbd edge_type=supports target=n_cb4e99dba7bd\nt=0033 ADD_EDGE edge_id=e_f858ab45c74e source=n_8ead1ac6d78b edge_type=refutes target=n_419144cf9688\nt=0034 ADD_EDGE edge_id=e_07f9c894bd79 source=n_ffd886321be6 edge_type=refutes target=n_8020332418c6\nt=0035 QUERY source=n_4a0d16c66641 target=n_26c9818d1ae4\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1705,"provenance":{"base_record_id":"train-d04-046","dataset":"livegraph-deterministic-parity-v3","depth":4,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d04-046","split":"train","variant":"clean"},"record_seed":196205361423766782,"render_sha256":"8acf3028dfbdad32eaebf33bbff466fce78d4f3747327904dc69daf56d947224","representation":"linear_trace","semantic_sha256":"91d0dc005d45d487216b350cf80da32133c78519282c7be45595025e43542641"}
{"char_count":3231,"item_id":"train-d04-047::linear_trace","label":"FALSE","lexical_token_proxy_count":556,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_df2a9d60dc9d node_type=claim\nt=0001 CREATE_NODE id=n_47e9c0bd4ff6 node_type=claim\nt=0002 CREATE_NODE id=n_e9c7c717959f node_type=claim\nt=0003 CREATE_NODE id=n_f95b36dc19af node_type=claim\nt=0004 CREATE_NODE id=n_f3dd5d12a021 node_type=claim\nt=0005 CREATE_NODE id=n_641f08713047 node_type=claim\nt=0006 CREATE_NODE id=n_08ecc182e043 node_type=claim\nt=0007 CREATE_NODE id=n_4e8ccb2efee8 node_type=claim\nt=0008 CREATE_NODE id=n_7ce676b88b78 node_type=claim\nt=0009 CREATE_NODE id=n_b8c491d8e126 node_type=claim\nt=0010 CREATE_NODE id=n_729724b1799f node_type=claim\nt=0011 CREATE_NODE id=n_25a814fe0eb4 node_type=claim\nt=0012 CREATE_NODE id=n_be2971c64671 node_type=claim\nt=0013 CREATE_NODE id=n_d0d0be1f07e8 node_type=claim\nt=0014 CREATE_NODE id=n_d55f73fa2fb9 node_type=claim\nt=0015 CREATE_NODE id=n_0fb8bb14004e node_type=claim\nt=0016 CREATE_NODE id=n_1c66ff5ce31f node_type=claim\nt=0017 CREATE_NODE id=n_f83358cab325 node_type=claim\nt=0018 ASSERT_ROOT node=n_47e9c0bd4ff6 value=FALSE\nt=0019 ADD_EDGE edge_id=e_4fedaaee3c37 source=n_47e9c0bd4ff6 edge_type=supports target=n_e9c7c717959f\nt=0020 ADD_EDGE edge_id=e_48e33407de0d source=n_f95b36dc19af edge_type=refutes target=n_d0d0be1f07e8\nt=0021 ADD_EDGE edge_id=e_05f160b38e9a source=n_0fb8bb14004e edge_type=supports target=n_be2971c64671\nt=0022 ADD_EDGE edge_id=e_9c8a95ebee1b source=n_25a814fe0eb4 edge_type=supports target=n_729724b1799f\nt=0023 ADD_EDGE edge_id=e_1a395ec7e7e2 source=n_be2971c64671 edge_type=supports target=n_641f08713047\nt=0024 ADD_EDGE edge_id=e_e5957d2d8f6a source=n_f83358cab325 edge_type=supports target=n_08ecc182e043\nt=0025 ADD_EDGE edge_id=e_5704475df8a8 source=n_0fb8bb14004e edge_type=refutes target=n_f95b36dc19af\nt=0026 ADD_EDGE edge_id=e_3c911d28d28e source=n_47e9c0bd4ff6 edge_type=refutes target=n_7ce676b88b78\nt=0027 ADD_EDGE edge_id=e_62c061e1ff99 source=n_be2971c64671 edge_type=refutes target=n_f83358cab325\nt=0028 ADD_EDGE edge_id=e_0b639d531c8e source=n_d55f73fa2fb9 edge_type=supports target=n_4e8ccb2efee8\nt=0029 ADD_EDGE edge_id=e_625d09d30acf source=n_f83358cab325 edge_type=refutes target=n_b8c491d8e126\nt=0030 ADD_EDGE edge_id=e_905abc01bdb2 source=n_25a814fe0eb4 edge_type=refutes target=n_f3dd5d12a021\nt=0031 ADD_EDGE edge_id=e_912b72f56a6d source=n_e9c7c717959f edge_type=refutes target=n_25a814fe0eb4\nt=0032 ADD_EDGE edge_id=e_09b619fb61de source=n_0fb8bb14004e edge_type=supports target=n_1c66ff5ce31f\nt=0033 ADD_EDGE edge_id=e_bbfde956e6cd source=n_47e9c0bd4ff6 edge_type=supports target=n_df2a9d60dc9d\nt=0034 ADD_EDGE edge_id=e_fad7909d6c9a source=n_25a814fe0eb4 edge_type=refutes target=n_d55f73fa2fb9\nt=0035 QUERY source=n_47e9c0bd4ff6 target=n_4e8ccb2efee8\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1702,"provenance":{"base_record_id":"train-d04-047","dataset":"livegraph-deterministic-parity-v3","depth":4,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d04-047","split":"train","variant":"clean"},"record_seed":470058616169808464,"render_sha256":"246df885ba1c2f49ab2527b7934ecd870a5b46595c1248058be3a1cc6ad19571","representation":"linear_trace","semantic_sha256":"5ead4be6c481144a220e1f01f3fc68afc1d74f9ef3ab01cf4e9dc8f317390bc2"}
{"char_count":3539,"item_id":"train-d05-000::linear_trace","label":"TRUE","lexical_token_proxy_count":608,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_1191fa06e05c node_type=claim\nt=0001 CREATE_NODE id=n_dc99a88fba5b node_type=claim\nt=0002 CREATE_NODE id=n_2d698a39d3d8 node_type=claim\nt=0003 CREATE_NODE id=n_4f7a0b9eae39 node_type=claim\nt=0004 CREATE_NODE id=n_7bce5ef28b4a node_type=claim\nt=0005 CREATE_NODE id=n_8eb3dbf2519f node_type=claim\nt=0006 CREATE_NODE id=n_7ecfbcb3bbc3 node_type=claim\nt=0007 CREATE_NODE id=n_7d05d175c3ac node_type=claim\nt=0008 CREATE_NODE id=n_9138c3e6987b node_type=claim\nt=0009 CREATE_NODE id=n_05a2af814cf7 node_type=claim\nt=0010 CREATE_NODE id=n_91730496c170 node_type=claim\nt=0011 CREATE_NODE id=n_eb812ecbfd9d node_type=claim\nt=0012 CREATE_NODE id=n_9c1b213f3661 node_type=claim\nt=0013 CREATE_NODE id=n_9e74a7e09e5f node_type=claim\nt=0014 CREATE_NODE id=n_3ed6fb24966a node_type=claim\nt=0015 CREATE_NODE id=n_fe3c1238db13 node_type=claim\nt=0016 CREATE_NODE id=n_9b7de0e95fd5 node_type=claim\nt=0017 CREATE_NODE id=n_8f09aa43e700 node_type=claim\nt=0018 CREATE_NODE id=n_cff2531be7f4 node_type=claim\nt=0019 CREATE_NODE id=n_03815068fc1e node_type=claim\nt=0020 ASSERT_ROOT node=n_cff2531be7f4 value=TRUE\nt=0021 ADD_EDGE edge_id=e_a7adb0ea4737 source=n_9e74a7e09e5f edge_type=refutes target=n_9c1b213f3661\nt=0022 ADD_EDGE edge_id=e_362ea2372eba source=n_cff2531be7f4 edge_type=supports target=n_8f09aa43e700\nt=0023 ADD_EDGE edge_id=e_55721da5ac58 source=n_4f7a0b9eae39 edge_type=refutes target=n_8eb3dbf2519f\nt=0024 ADD_EDGE edge_id=e_9972dfd3c376 source=n_8f09aa43e700 edge_type=refutes target=n_4f7a0b9eae39\nt=0025 ADD_EDGE edge_id=e_909f38be6102 source=n_3ed6fb24966a edge_type=refutes target=n_9b7de0e95fd5\nt=0026 ADD_EDGE edge_id=e_a19362f2a027 source=n_91730496c170 edge_type=refutes target=n_7d05d175c3ac\nt=0027 ADD_EDGE edge_id=e_9546ab419113 source=n_9e74a7e09e5f edge_type=supports target=n_fe3c1238db13\nt=0028 ADD_EDGE edge_id=e_df2724b38004 source=n_91730496c170 edge_type=supports target=n_05a2af814cf7\nt=0029 ADD_EDGE edge_id=e_62aadaa42574 source=n_8eb3dbf2519f edge_type=supports target=n_9138c3e6987b\nt=0030 ADD_EDGE edge_id=e_da6cc7be05e8 source=n_2d698a39d3d8 edge_type=refutes target=n_7ecfbcb3bbc3\nt=0031 ADD_EDGE edge_id=e_cd79b86268cb source=n_cff2531be7f4 edge_type=supports target=n_dc99a88fba5b\nt=0032 ADD_EDGE edge_id=e_834b774955d6 source=n_2d698a39d3d8 edge_type=refutes target=n_7bce5ef28b4a\nt=0033 ADD_EDGE edge_id=e_6d782f08f508 source=n_9b7de0e95fd5 edge_type=refutes target=n_eb812ecbfd9d\nt=0034 ADD_EDGE edge_id=e_17055de400a4 source=n_91730496c170 edge_type=supports target=n_03815068fc1e\nt=0035 ADD_EDGE edge_id=e_8a823f139907 source=n_3ed6fb24966a edge_type=refutes target=n_1191fa06e05c\nt=0036 ADD_EDGE edge_id=e_53922a2b11e7 source=n_3ed6fb24966a edge_type=supports target=n_2d698a39d3d8\nt=0037 ADD_EDGE edge_id=e_db9df996eabb source=n_8eb3dbf2519f edge_type=supports target=n_91730496c170\nt=0038 ADD_EDGE edge_id=e_a6630d0047dd source=n_3ed6fb24966a edge_type=supports target=n_9e74a7e09e5f\nt=0039 QUERY source=n_cff2531be7f4 target=n_05a2af814cf7\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1891,"provenance":{"base_record_id":"train-d05-000","dataset":"livegraph-deterministic-parity-v3","depth":5,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d05-000","split":"train","variant":"clean"},"record_seed":74462955101287240,"render_sha256":"b9365f01b04f380b179c1ff76161566bb45c2226dc1117193a80e204e7401198","representation":"linear_trace","semantic_sha256":"062c462977d17841167c42596fbadffa2385823bd67e8416157293eb9f403c89"}
{"char_count":3539,"item_id":"train-d05-001::linear_trace","label":"FALSE","lexical_token_proxy_count":608,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_754580d86f2e node_type=claim\nt=0001 CREATE_NODE id=n_0fe8b8b8b1bd node_type=claim\nt=0002 CREATE_NODE id=n_c99b22c609f5 node_type=claim\nt=0003 CREATE_NODE id=n_ed90d008d2ea node_type=claim\nt=0004 CREATE_NODE id=n_235a0135d06a node_type=claim\nt=0005 CREATE_NODE id=n_ac29b05d8139 node_type=claim\nt=0006 CREATE_NODE id=n_b64ef3bcc281 node_type=claim\nt=0007 CREATE_NODE id=n_4d5b04cdf87c node_type=claim\nt=0008 CREATE_NODE id=n_48902ecf1937 node_type=claim\nt=0009 CREATE_NODE id=n_bb8082cb4fe8 node_type=claim\nt=0010 CREATE_NODE id=n_abb202735801 node_type=claim\nt=0011 CREATE_NODE id=n_80888953a250 node_type=claim\nt=0012 CREATE_NODE id=n_753cbc15039c node_type=claim\nt=0013 CREATE_NODE id=n_10b3688a4cfc node_type=claim\nt=0014 CREATE_NODE id=n_fb0bf8501053 node_type=claim\nt=0015 CREATE_NODE id=n_481304e2db27 node_type=claim\nt=0016 CREATE_NODE id=n_844660b92786 node_type=claim\nt=0017 CREATE_NODE id=n_32f04f51287a node_type=claim\nt=0018 CREATE_NODE id=n_c1dd78c58121 node_type=claim\nt=0019 CREATE_NODE id=n_9626a7c65c1e node_type=claim\nt=0020 ASSERT_ROOT node=n_ed90d008d2ea value=TRUE\nt=0021 ADD_EDGE edge_id=e_c42328c84c95 source=n_9626a7c65c1e edge_type=supports target=n_b64ef3bcc281\nt=0022 ADD_EDGE edge_id=e_f2df590ab1af source=n_ed90d008d2ea edge_type=refutes target=n_0fe8b8b8b1bd\nt=0023 ADD_EDGE edge_id=e_eb1e35073e36 source=n_754580d86f2e edge_type=refutes target=n_753cbc15039c\nt=0024 ADD_EDGE edge_id=e_ed813002ffeb source=n_b64ef3bcc281 edge_type=supports target=n_ac29b05d8139\nt=0025 ADD_EDGE edge_id=e_8caaab47a8cc source=n_481304e2db27 edge_type=supports target=n_235a0135d06a\nt=0026 ADD_EDGE edge_id=e_54c167153ccb source=n_754580d86f2e edge_type=refutes target=n_abb202735801\nt=0027 ADD_EDGE edge_id=e_b60c680f5933 source=n_9626a7c65c1e edge_type=refutes target=n_80888953a250\nt=0028 ADD_EDGE edge_id=e_014237f010f9 source=n_abb202735801 edge_type=refutes target=n_32f04f51287a\nt=0029 ADD_EDGE edge_id=e_dbc864c9d595 source=n_fb0bf8501053 edge_type=supports target=n_bb8082cb4fe8\nt=0030 ADD_EDGE edge_id=e_e0cfcb2a371f source=n_fb0bf8501053 edge_type=refutes target=n_4d5b04cdf87c\nt=0031 ADD_EDGE edge_id=e_cd3467ddb957 source=n_fb0bf8501053 edge_type=refutes target=n_c1dd78c58121\nt=0032 ADD_EDGE edge_id=e_52cc16bd0c77 source=n_753cbc15039c edge_type=supports target=n_10b3688a4cfc\nt=0033 ADD_EDGE edge_id=e_57457777741e source=n_754580d86f2e edge_type=supports target=n_48902ecf1937\nt=0034 ADD_EDGE edge_id=e_fd6f7dbf87ec source=n_754580d86f2e edge_type=supports target=n_c99b22c609f5\nt=0035 ADD_EDGE edge_id=e_5b3e72cea719 source=n_0fe8b8b8b1bd edge_type=refutes target=n_9626a7c65c1e\nt=0036 ADD_EDGE edge_id=e_1589c1e3aca9 source=n_754580d86f2e edge_type=supports target=n_844660b92786\nt=0037 ADD_EDGE edge_id=e_111d27fda437 source=n_10b3688a4cfc edge_type=supports target=n_481304e2db27\nt=0038 ADD_EDGE edge_id=e_61906253b4d5 source=n_ac29b05d8139 edge_type=refutes target=n_fb0bf8501053\nt=0039 QUERY source=n_ed90d008d2ea target=n_fb0bf8501053\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1900,"provenance":{"base_record_id":"train-d05-001","dataset":"livegraph-deterministic-parity-v3","depth":5,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d05-001","split":"train","variant":"clean"},"record_seed":557449199885751742,"render_sha256":"b6856756f59f8f94a6eb9270abed761e972eaa61e5f019b9a184e257a1a33fa7","representation":"linear_trace","semantic_sha256":"7bfd92dd928b70b79d0cfef0b28f8171447a32d6972005893a0d1bbd72fc85a9"}
{"char_count":3540,"item_id":"train-d05-002::linear_trace","label":"TRUE","lexical_token_proxy_count":608,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_626443ee66ad node_type=claim\nt=0001 CREATE_NODE id=n_74a0aa840502 node_type=claim\nt=0002 CREATE_NODE id=n_6d765aec017f node_type=claim\nt=0003 CREATE_NODE id=n_0cecb7e7bdee node_type=claim\nt=0004 CREATE_NODE id=n_4f26c3ab4481 node_type=claim\nt=0005 CREATE_NODE id=n_fcf50d0d6459 node_type=claim\nt=0006 CREATE_NODE id=n_b98a994ed1ef node_type=claim\nt=0007 CREATE_NODE id=n_136022b00366 node_type=claim\nt=0008 CREATE_NODE id=n_04af75f3958d node_type=claim\nt=0009 CREATE_NODE id=n_2810261a4e3e node_type=claim\nt=0010 CREATE_NODE id=n_7b48a82cde67 node_type=claim\nt=0011 CREATE_NODE id=n_fb280d30679b node_type=claim\nt=0012 CREATE_NODE id=n_482d88c4c990 node_type=claim\nt=0013 CREATE_NODE id=n_e199f4f0346f node_type=claim\nt=0014 CREATE_NODE id=n_ff69da88f0d9 node_type=claim\nt=0015 CREATE_NODE id=n_ad86905c5c38 node_type=claim\nt=0016 CREATE_NODE id=n_3788baa9b2e1 node_type=claim\nt=0017 CREATE_NODE id=n_667f950450f6 node_type=claim\nt=0018 CREATE_NODE id=n_26143ce0f26e node_type=claim\nt=0019 CREATE_NODE id=n_5d21f30b4123 node_type=claim\nt=0020 ASSERT_ROOT node=n_0cecb7e7bdee value=FALSE\nt=0021 ADD_EDGE edge_id=e_2e61bae7b030 source=n_482d88c4c990 edge_type=supports target=n_ad86905c5c38\nt=0022 ADD_EDGE edge_id=e_c8a166d3a25d source=n_26143ce0f26e edge_type=refutes target=n_04af75f3958d\nt=0023 ADD_EDGE edge_id=e_67e95fb3bcce source=n_0cecb7e7bdee edge_type=refutes target=n_7b48a82cde67\nt=0024 ADD_EDGE edge_id=e_925b7bbc35a3 source=n_482d88c4c990 edge_type=refutes target=n_fb280d30679b\nt=0025 ADD_EDGE edge_id=e_4f33a393751b source=n_04af75f3958d edge_type=supports target=n_626443ee66ad\nt=0026 ADD_EDGE edge_id=e_3f85f530e729 source=n_482d88c4c990 edge_type=supports target=n_74a0aa840502\nt=0027 ADD_EDGE edge_id=e_25e44ece8eda source=n_0cecb7e7bdee edge_type=supports target=n_136022b00366\nt=0028 ADD_EDGE edge_id=e_b1b843a0a577 source=n_4f26c3ab4481 edge_type=supports target=n_2810261a4e3e\nt=0029 ADD_EDGE edge_id=e_feb3b994ad53 source=n_7b48a82cde67 edge_type=supports target=n_3788baa9b2e1\nt=0030 ADD_EDGE edge_id=e_acd0f694071d source=n_7b48a82cde67 edge_type=supports target=n_fcf50d0d6459\nt=0031 ADD_EDGE edge_id=e_0eb364e009d5 source=n_b98a994ed1ef edge_type=supports target=n_667f950450f6\nt=0032 ADD_EDGE edge_id=e_4ea0e650715a source=n_26143ce0f26e edge_type=refutes target=n_5d21f30b4123\nt=0033 ADD_EDGE edge_id=e_bdd7369ba39c source=n_3788baa9b2e1 edge_type=refutes target=n_4f26c3ab4481\nt=0034 ADD_EDGE edge_id=e_18633c94e9d6 source=n_4f26c3ab4481 edge_type=refutes target=n_b98a994ed1ef\nt=0035 ADD_EDGE edge_id=e_170cc2c1a30b source=n_4f26c3ab4481 edge_type=refutes target=n_e199f4f0346f\nt=0036 ADD_EDGE edge_id=e_38b0e7c29315 source=n_fb280d30679b edge_type=refutes target=n_6d765aec017f\nt=0037 ADD_EDGE edge_id=e_6c8fe956e2bb source=n_fb280d30679b edge_type=supports target=n_26143ce0f26e\nt=0038 ADD_EDGE edge_id=e_d7b071cc57f9 source=n_ad86905c5c38 edge_type=refutes target=n_ff69da88f0d9\nt=0039 QUERY source=n_0cecb7e7bdee target=n_667f950450f6\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1903,"provenance":{"base_record_id":"train-d05-002","dataset":"livegraph-deterministic-parity-v3","depth":5,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d05-002","split":"train","variant":"clean"},"record_seed":919822943212885376,"render_sha256":"09094e211b8fd64fafe32c95c7e666515de335a9e710a29e0a098fece1d1f757","representation":"linear_trace","semantic_sha256":"35b887e64a770a2cdee475c4f2178a0a2809dce45b139f30724cce2d651b15cb"}
{"char_count":3540,"item_id":"train-d05-003::linear_trace","label":"FALSE","lexical_token_proxy_count":608,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_13a1fbd1a94d node_type=claim\nt=0001 CREATE_NODE id=n_1c49bdfb5507 node_type=claim\nt=0002 CREATE_NODE id=n_503053169237 node_type=claim\nt=0003 CREATE_NODE id=n_cc4efca8e125 node_type=claim\nt=0004 CREATE_NODE id=n_b859d060b89a node_type=claim\nt=0005 CREATE_NODE id=n_97e9f5c103c3 node_type=claim\nt=0006 CREATE_NODE id=n_448f38b83475 node_type=claim\nt=0007 CREATE_NODE id=n_e94b2d9dd381 node_type=claim\nt=0008 CREATE_NODE id=n_0c3396b5b4dc node_type=claim\nt=0009 CREATE_NODE id=n_a356349bfd91 node_type=claim\nt=0010 CREATE_NODE id=n_d2f0c1db1701 node_type=claim\nt=0011 CREATE_NODE id=n_a2dafc7c2eaa node_type=claim\nt=0012 CREATE_NODE id=n_c47c137038af node_type=claim\nt=0013 CREATE_NODE id=n_5bee9fd6aade node_type=claim\nt=0014 CREATE_NODE id=n_fa149dfa10f9 node_type=claim\nt=0015 CREATE_NODE id=n_dcf6a163f63b node_type=claim\nt=0016 CREATE_NODE id=n_503b8e1371f5 node_type=claim\nt=0017 CREATE_NODE id=n_d4fb1c391442 node_type=claim\nt=0018 CREATE_NODE id=n_782e0eb7ddfc node_type=claim\nt=0019 CREATE_NODE id=n_bd16668bda37 node_type=claim\nt=0020 ASSERT_ROOT node=n_0c3396b5b4dc value=FALSE\nt=0021 ADD_EDGE edge_id=e_fb4134566876 source=n_a356349bfd91 edge_type=refutes target=n_97e9f5c103c3\nt=0022 ADD_EDGE edge_id=e_21107fc36648 source=n_d4fb1c391442 edge_type=supports target=n_782e0eb7ddfc\nt=0023 ADD_EDGE edge_id=e_9d30d7be23d3 source=n_782e0eb7ddfc edge_type=refutes target=n_bd16668bda37\nt=0024 ADD_EDGE edge_id=e_7045166eb1fe source=n_c47c137038af edge_type=refutes target=n_dcf6a163f63b\nt=0025 ADD_EDGE edge_id=e_7c7d7445d26a source=n_5bee9fd6aade edge_type=refutes target=n_b859d060b89a\nt=0026 ADD_EDGE edge_id=e_5933bfd68ede source=n_d4fb1c391442 edge_type=supports target=n_503b8e1371f5\nt=0027 ADD_EDGE edge_id=e_8ac7b7da8131 source=n_503b8e1371f5 edge_type=supports target=n_503053169237\nt=0028 ADD_EDGE edge_id=e_221cb4edcea4 source=n_0c3396b5b4dc edge_type=refutes target=n_c47c137038af\nt=0029 ADD_EDGE edge_id=e_6910ec839303 source=n_a356349bfd91 edge_type=supports target=n_d4fb1c391442\nt=0030 ADD_EDGE edge_id=e_a3066708c712 source=n_5bee9fd6aade edge_type=supports target=n_cc4efca8e125\nt=0031 ADD_EDGE edge_id=e_4778f56df01d source=n_a2dafc7c2eaa edge_type=refutes target=n_5bee9fd6aade\nt=0032 ADD_EDGE edge_id=e_d70cb58a9ce1 source=n_a2dafc7c2eaa edge_type=supports target=n_13a1fbd1a94d\nt=0033 ADD_EDGE edge_id=e_90e3260e36b0 source=n_782e0eb7ddfc edge_type=refutes target=n_d2f0c1db1701\nt=0034 ADD_EDGE edge_id=e_9df91035fda7 source=n_fa149dfa10f9 edge_type=supports target=n_a2dafc7c2eaa\nt=0035 ADD_EDGE edge_id=e_ec6e5e7bd9a8 source=n_b859d060b89a edge_type=supports target=n_e94b2d9dd381\nt=0036 ADD_EDGE edge_id=e_de234a246de0 source=n_c47c137038af edge_type=refutes target=n_fa149dfa10f9\nt=0037 ADD_EDGE edge_id=e_5e5d4e6f858a source=n_d4fb1c391442 edge_type=supports target=n_1c49bdfb5507\nt=0038 ADD_EDGE edge_id=e_c2fa2709399d source=n_d4fb1c391442 edge_type=refutes target=n_448f38b83475\nt=0039 QUERY source=n_0c3396b5b4dc target=n_b859d060b89a\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1882,"provenance":{"base_record_id":"train-d05-003","dataset":"livegraph-deterministic-parity-v3","depth":5,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d05-003","split":"train","variant":"clean"},"record_seed":1014257801484618873,"render_sha256":"a23e2ef61f0f16a35aef2ed997c602bf5502878be2f5133df1e1e910df537eb4","representation":"linear_trace","semantic_sha256":"f4fdc53cc9e482e74f76c0a327b463201f6a8625d3a513ed7465b973844878bd"}
{"char_count":3539,"item_id":"train-d05-004::linear_trace","label":"TRUE","lexical_token_proxy_count":608,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_706604558716 node_type=claim\nt=0001 CREATE_NODE id=n_fde369cfe380 node_type=claim\nt=0002 CREATE_NODE id=n_ea6c3a993529 node_type=claim\nt=0003 CREATE_NODE id=n_c3e3f05fe914 node_type=claim\nt=0004 CREATE_NODE id=n_40e528e3f62b node_type=claim\nt=0005 CREATE_NODE id=n_1d7d0c1a9691 node_type=claim\nt=0006 CREATE_NODE id=n_892ca52e691e node_type=claim\nt=0007 CREATE_NODE id=n_d2fd2ef876c0 node_type=claim\nt=0008 CREATE_NODE id=n_b09fd17be118 node_type=claim\nt=0009 CREATE_NODE id=n_31a24215d764 node_type=claim\nt=0010 CREATE_NODE id=n_776c1a1feeb0 node_type=claim\nt=0011 CREATE_NODE id=n_7ebb66ea916b node_type=claim\nt=0012 CREATE_NODE id=n_85569dfe652e node_type=claim\nt=0013 CREATE_NODE id=n_2feb2f176c4e node_type=claim\nt=0014 CREATE_NODE id=n_bb58f4ccf99a node_type=claim\nt=0015 CREATE_NODE id=n_7fc2892ca5ac node_type=claim\nt=0016 CREATE_NODE id=n_6722b1095144 node_type=claim\nt=0017 CREATE_NODE id=n_b52831f930fd node_type=claim\nt=0018 CREATE_NODE id=n_5d2b7a0b94da node_type=claim\nt=0019 CREATE_NODE id=n_508a86b62d0d node_type=claim\nt=0020 ASSERT_ROOT node=n_b09fd17be118 value=TRUE\nt=0021 ADD_EDGE edge_id=e_595a2ad42bb8 source=n_31a24215d764 edge_type=supports target=n_b52831f930fd\nt=0022 ADD_EDGE edge_id=e_52e2224f610e source=n_40e528e3f62b edge_type=supports target=n_bb58f4ccf99a\nt=0023 ADD_EDGE edge_id=e_d57bb162e4d8 source=n_1d7d0c1a9691 edge_type=refutes target=n_fde369cfe380\nt=0024 ADD_EDGE edge_id=e_85f69b649196 source=n_b52831f930fd edge_type=supports target=n_c3e3f05fe914\nt=0025 ADD_EDGE edge_id=e_214d25753590 source=n_b09fd17be118 edge_type=supports target=n_40e528e3f62b\nt=0026 ADD_EDGE edge_id=e_7181b769bda7 source=n_7fc2892ca5ac edge_type=refutes target=n_5d2b7a0b94da\nt=0027 ADD_EDGE edge_id=e_f330dfdf6596 source=n_d2fd2ef876c0 edge_type=supports target=n_892ca52e691e\nt=0028 ADD_EDGE edge_id=e_ab99784f4180 source=n_d2fd2ef876c0 edge_type=supports target=n_7fc2892ca5ac\nt=0029 ADD_EDGE edge_id=e_aa03e83c46b2 source=n_40e528e3f62b edge_type=refutes target=n_508a86b62d0d\nt=0030 ADD_EDGE edge_id=e_b3ae2a1e9670 source=n_85569dfe652e edge_type=refutes target=n_31a24215d764\nt=0031 ADD_EDGE edge_id=e_3eaffe626017 source=n_40e528e3f62b edge_type=refutes target=n_2feb2f176c4e\nt=0032 ADD_EDGE edge_id=e_d45a74d25c74 source=n_5d2b7a0b94da edge_type=supports target=n_ea6c3a993529\nt=0033 ADD_EDGE edge_id=e_0d29a3c562e1 source=n_776c1a1feeb0 edge_type=supports target=n_d2fd2ef876c0\nt=0034 ADD_EDGE edge_id=e_0bc803744146 source=n_40e528e3f62b edge_type=refutes target=n_85569dfe652e\nt=0035 ADD_EDGE edge_id=e_fb3fa4c68d26 source=n_d2fd2ef876c0 edge_type=refutes target=n_7ebb66ea916b\nt=0036 ADD_EDGE edge_id=e_5f71b7905090 source=n_7ebb66ea916b edge_type=refutes target=n_706604558716\nt=0037 ADD_EDGE edge_id=e_1069351f5fd7 source=n_7fc2892ca5ac edge_type=supports target=n_1d7d0c1a9691\nt=0038 ADD_EDGE edge_id=e_a26918a6b968 source=n_85569dfe652e edge_type=refutes target=n_6722b1095144\nt=0039 QUERY source=n_b09fd17be118 target=n_c3e3f05fe914\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1905,"provenance":{"base_record_id":"train-d05-004","dataset":"livegraph-deterministic-parity-v3","depth":5,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d05-004","split":"train","variant":"clean"},"record_seed":907358992665492976,"render_sha256":"0b7ab69c8b594cfee8b98d1fa824f55e612c9edb5e4e34103db7606917d0ee6b","representation":"linear_trace","semantic_sha256":"29749dbf18cef45ee0b2d3eb085efd48f3ce7d91d70763ad38be0d71f315b1b5"}
{"char_count":3539,"item_id":"train-d05-005::linear_trace","label":"FALSE","lexical_token_proxy_count":608,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_06a7ed60c40f node_type=claim\nt=0001 CREATE_NODE id=n_87c21dd5103c node_type=claim\nt=0002 CREATE_NODE id=n_a070c37f4529 node_type=claim\nt=0003 CREATE_NODE id=n_03dd46c1988a node_type=claim\nt=0004 CREATE_NODE id=n_13d61477b8e7 node_type=claim\nt=0005 CREATE_NODE id=n_ff020005372e node_type=claim\nt=0006 CREATE_NODE id=n_b7af3b749386 node_type=claim\nt=0007 CREATE_NODE id=n_f3a677180a88 node_type=claim\nt=0008 CREATE_NODE id=n_f62eda2ae458 node_type=claim\nt=0009 CREATE_NODE id=n_08787b8cec41 node_type=claim\nt=0010 CREATE_NODE id=n_6ea3edbb9fbf node_type=claim\nt=0011 CREATE_NODE id=n_8cdd7700b975 node_type=claim\nt=0012 CREATE_NODE id=n_cd2cc5e38d38 node_type=claim\nt=0013 CREATE_NODE id=n_6f8038782ee6 node_type=claim\nt=0014 CREATE_NODE id=n_e74c6b53e650 node_type=claim\nt=0015 CREATE_NODE id=n_5c6d2e16394f node_type=claim\nt=0016 CREATE_NODE id=n_7176d60fd3c6 node_type=claim\nt=0017 CREATE_NODE id=n_b603a0443d50 node_type=claim\nt=0018 CREATE_NODE id=n_c5c707469341 node_type=claim\nt=0019 CREATE_NODE id=n_b0ac86552b64 node_type=claim\nt=0020 ASSERT_ROOT node=n_03dd46c1988a value=TRUE\nt=0021 ADD_EDGE edge_id=e_c53b17d568e3 source=n_e74c6b53e650 edge_type=refutes target=n_cd2cc5e38d38\nt=0022 ADD_EDGE edge_id=e_fa6b0fa80b43 source=n_b603a0443d50 edge_type=supports target=n_6ea3edbb9fbf\nt=0023 ADD_EDGE edge_id=e_f31c766e1092 source=n_b0ac86552b64 edge_type=supports target=n_13d61477b8e7\nt=0024 ADD_EDGE edge_id=e_45a027001c2c source=n_b0ac86552b64 edge_type=refutes target=n_87c21dd5103c\nt=0025 ADD_EDGE edge_id=e_18433b4472fb source=n_a070c37f4529 edge_type=supports target=n_ff020005372e\nt=0026 ADD_EDGE edge_id=e_491d4cd37354 source=n_06a7ed60c40f edge_type=supports target=n_6f8038782ee6\nt=0027 ADD_EDGE edge_id=e_0f86bc6a232a source=n_08787b8cec41 edge_type=refutes target=n_7176d60fd3c6\nt=0028 ADD_EDGE edge_id=e_1e538c8bf4c0 source=n_03dd46c1988a edge_type=supports target=n_c5c707469341\nt=0029 ADD_EDGE edge_id=e_cc0cafe7da4d source=n_08787b8cec41 edge_type=refutes target=n_b7af3b749386\nt=0030 ADD_EDGE edge_id=e_7fc12ed0ec0e source=n_e74c6b53e650 edge_type=supports target=n_f3a677180a88\nt=0031 ADD_EDGE edge_id=e_8c7db39b904d source=n_b603a0443d50 edge_type=supports target=n_08787b8cec41\nt=0032 ADD_EDGE edge_id=e_34b4180df4d3 source=n_06a7ed60c40f edge_type=refutes target=n_e74c6b53e650\nt=0033 ADD_EDGE edge_id=e_6b1ced615ed5 source=n_5c6d2e16394f edge_type=refutes target=n_06a7ed60c40f\nt=0034 ADD_EDGE edge_id=e_541656a4e947 source=n_06a7ed60c40f edge_type=refutes target=n_f62eda2ae458\nt=0035 ADD_EDGE edge_id=e_0723cd0372cb source=n_06a7ed60c40f edge_type=refutes target=n_a070c37f4529\nt=0036 ADD_EDGE edge_id=e_8136bafd99a4 source=n_f62eda2ae458 edge_type=supports target=n_8cdd7700b975\nt=0037 ADD_EDGE edge_id=e_15059511e164 source=n_03dd46c1988a edge_type=supports target=n_b603a0443d50\nt=0038 ADD_EDGE edge_id=e_b4c692c7f241 source=n_7176d60fd3c6 edge_type=refutes target=n_b0ac86552b64\nt=0039 QUERY source=n_03dd46c1988a target=n_87c21dd5103c\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1918,"provenance":{"base_record_id":"train-d05-005","dataset":"livegraph-deterministic-parity-v3","depth":5,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d05-005","split":"train","variant":"clean"},"record_seed":1060031325424009028,"render_sha256":"3605522e75b8c2ed8b9355297aec60ba1915cd95729b6dd430d0689de4938127","representation":"linear_trace","semantic_sha256":"65b73c30762e33428f09a20dea3f41c7e5c36437322b1bbbce0e243cf246ae04"}
{"char_count":3540,"item_id":"train-d05-006::linear_trace","label":"TRUE","lexical_token_proxy_count":608,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_45e388e784a2 node_type=claim\nt=0001 CREATE_NODE id=n_cc4b8c75fd0c node_type=claim\nt=0002 CREATE_NODE id=n_fb03342ce39c node_type=claim\nt=0003 CREATE_NODE id=n_f4d190d241fa node_type=claim\nt=0004 CREATE_NODE id=n_e826c9d1008b node_type=claim\nt=0005 CREATE_NODE id=n_e3fa84e710b7 node_type=claim\nt=0006 CREATE_NODE id=n_65ca20444845 node_type=claim\nt=0007 CREATE_NODE id=n_c2a03ef0cd29 node_type=claim\nt=0008 CREATE_NODE id=n_898f17ad488b node_type=claim\nt=0009 CREATE_NODE id=n_04eba74e734c node_type=claim\nt=0010 CREATE_NODE id=n_fa7a4ca71b96 node_type=claim\nt=0011 CREATE_NODE id=n_9c33f7368288 node_type=claim\nt=0012 CREATE_NODE id=n_cff505a2d5ff node_type=claim\nt=0013 CREATE_NODE id=n_c2cc99bbfc0f node_type=claim\nt=0014 CREATE_NODE id=n_2b8242876faa node_type=claim\nt=0015 CREATE_NODE id=n_52425e21e039 node_type=claim\nt=0016 CREATE_NODE id=n_e2f298343332 node_type=claim\nt=0017 CREATE_NODE id=n_7aac86a4b6aa node_type=claim\nt=0018 CREATE_NODE id=n_3bf8137b6ce3 node_type=claim\nt=0019 CREATE_NODE id=n_47bbd8c116db node_type=claim\nt=0020 ASSERT_ROOT node=n_3bf8137b6ce3 value=FALSE\nt=0021 ADD_EDGE edge_id=e_3f3a36e5d0aa source=n_c2a03ef0cd29 edge_type=refutes target=n_cc4b8c75fd0c\nt=0022 ADD_EDGE edge_id=e_9a0645d4978e source=n_e826c9d1008b edge_type=supports target=n_52425e21e039\nt=0023 ADD_EDGE edge_id=e_65bd4cff731c source=n_47bbd8c116db edge_type=refutes target=n_e2f298343332\nt=0024 ADD_EDGE edge_id=e_36f76587a31e source=n_3bf8137b6ce3 edge_type=refutes target=n_47bbd8c116db\nt=0025 ADD_EDGE edge_id=e_cd0b506ef216 source=n_04eba74e734c edge_type=refutes target=n_45e388e784a2\nt=0026 ADD_EDGE edge_id=e_17242137152a source=n_47bbd8c116db edge_type=supports target=n_fb03342ce39c\nt=0027 ADD_EDGE edge_id=e_1a878177a6e4 source=n_fb03342ce39c edge_type=refutes target=n_9c33f7368288\nt=0028 ADD_EDGE edge_id=e_ad8aa257605f source=n_e826c9d1008b edge_type=supports target=n_65ca20444845\nt=0029 ADD_EDGE edge_id=e_1a4928ef8c34 source=n_c2a03ef0cd29 edge_type=supports target=n_e3fa84e710b7\nt=0030 ADD_EDGE edge_id=e_5ed8fb6914bc source=n_04eba74e734c edge_type=refutes target=n_fa7a4ca71b96\nt=0031 ADD_EDGE edge_id=e_11b188d847a4 source=n_47bbd8c116db edge_type=refutes target=n_cff505a2d5ff\nt=0032 ADD_EDGE edge_id=e_8ac5387afd15 source=n_04eba74e734c edge_type=supports target=n_7aac86a4b6aa\nt=0033 ADD_EDGE edge_id=e_49f7eb900202 source=n_45e388e784a2 edge_type=supports target=n_c2a03ef0cd29\nt=0034 ADD_EDGE edge_id=e_ba0192a00ff9 source=n_e3fa84e710b7 edge_type=supports target=n_c2cc99bbfc0f\nt=0035 ADD_EDGE edge_id=e_b98900ce8db2 source=n_fa7a4ca71b96 edge_type=supports target=n_2b8242876faa\nt=0036 ADD_EDGE edge_id=e_7bb8a2b19efb source=n_9c33f7368288 edge_type=refutes target=n_e826c9d1008b\nt=0037 ADD_EDGE edge_id=e_d03739b23980 source=n_47bbd8c116db edge_type=supports target=n_f4d190d241fa\nt=0038 ADD_EDGE edge_id=e_603143db4286 source=n_04eba74e734c edge_type=refutes target=n_898f17ad488b\nt=0039 QUERY source=n_3bf8137b6ce3 target=n_52425e21e039\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1894,"provenance":{"base_record_id":"train-d05-006","dataset":"livegraph-deterministic-parity-v3","depth":5,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d05-006","split":"train","variant":"clean"},"record_seed":246764747670153296,"render_sha256":"1bc140e714f037958a600ea68740be75115f9d4907b01c56ea21b3c821cc7ce6","representation":"linear_trace","semantic_sha256":"ceab5786c5c463891233f8756ecea97642d06a4984eb4149543bd9d9305f1501"}
{"char_count":3540,"item_id":"train-d05-007::linear_trace","label":"FALSE","lexical_token_proxy_count":608,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_788bc954ab5b node_type=claim\nt=0001 CREATE_NODE id=n_050e29b946ab node_type=claim\nt=0002 CREATE_NODE id=n_9a919d73daa3 node_type=claim\nt=0003 CREATE_NODE id=n_d2a18b3f0d07 node_type=claim\nt=0004 CREATE_NODE id=n_027ba918ff87 node_type=claim\nt=0005 CREATE_NODE id=n_6987472fc1c3 node_type=claim\nt=0006 CREATE_NODE id=n_75b96ea518c3 node_type=claim\nt=0007 CREATE_NODE id=n_6817720f15fe node_type=claim\nt=0008 CREATE_NODE id=n_3d738ac98ee9 node_type=claim\nt=0009 CREATE_NODE id=n_6ab0cfc54b87 node_type=claim\nt=0010 CREATE_NODE id=n_2e5cdf3aed89 node_type=claim\nt=0011 CREATE_NODE id=n_8ad2d173c22a node_type=claim\nt=0012 CREATE_NODE id=n_7fd186b4200b node_type=claim\nt=0013 CREATE_NODE id=n_296631cd2d02 node_type=claim\nt=0014 CREATE_NODE id=n_39d4762b37f1 node_type=claim\nt=0015 CREATE_NODE id=n_c7e97da19be3 node_type=claim\nt=0016 CREATE_NODE id=n_453c7b57d4f4 node_type=claim\nt=0017 CREATE_NODE id=n_d1608d56e242 node_type=claim\nt=0018 CREATE_NODE id=n_0c9343343e32 node_type=claim\nt=0019 CREATE_NODE id=n_bfea7bc91441 node_type=claim\nt=0020 ASSERT_ROOT node=n_6987472fc1c3 value=FALSE\nt=0021 ADD_EDGE edge_id=e_f8b6b01a7372 source=n_027ba918ff87 edge_type=refutes target=n_7fd186b4200b\nt=0022 ADD_EDGE edge_id=e_8b23811f581a source=n_296631cd2d02 edge_type=refutes target=n_d2a18b3f0d07\nt=0023 ADD_EDGE edge_id=e_25fef03b75c2 source=n_2e5cdf3aed89 edge_type=refutes target=n_027ba918ff87\nt=0024 ADD_EDGE edge_id=e_615eee16fa6f source=n_c7e97da19be3 edge_type=supports target=n_9a919d73daa3\nt=0025 ADD_EDGE edge_id=e_8d082a483c3f source=n_6987472fc1c3 edge_type=supports target=n_2e5cdf3aed89\nt=0026 ADD_EDGE edge_id=e_ae0a34544664 source=n_d2a18b3f0d07 edge_type=refutes target=n_6817720f15fe\nt=0027 ADD_EDGE edge_id=e_84e735ef0128 source=n_8ad2d173c22a edge_type=supports target=n_d1608d56e242\nt=0028 ADD_EDGE edge_id=e_77468a6042f9 source=n_6987472fc1c3 edge_type=refutes target=n_3d738ac98ee9\nt=0029 ADD_EDGE edge_id=e_fcf305c55f0a source=n_bfea7bc91441 edge_type=supports target=n_8ad2d173c22a\nt=0030 ADD_EDGE edge_id=e_7406420c5913 source=n_39d4762b37f1 edge_type=refutes target=n_453c7b57d4f4\nt=0031 ADD_EDGE edge_id=e_a03f0dbd8799 source=n_296631cd2d02 edge_type=supports target=n_0c9343343e32\nt=0032 ADD_EDGE edge_id=e_598a9eb477be source=n_d2a18b3f0d07 edge_type=supports target=n_050e29b946ab\nt=0033 ADD_EDGE edge_id=e_16adc391ceca source=n_0c9343343e32 edge_type=refutes target=n_39d4762b37f1\nt=0034 ADD_EDGE edge_id=e_877f5c2826c4 source=n_0c9343343e32 edge_type=supports target=n_c7e97da19be3\nt=0035 ADD_EDGE edge_id=e_af47599962e9 source=n_027ba918ff87 edge_type=refutes target=n_6ab0cfc54b87\nt=0036 ADD_EDGE edge_id=e_b4b91e6501a5 source=n_c7e97da19be3 edge_type=refutes target=n_788bc954ab5b\nt=0037 ADD_EDGE edge_id=e_2267ac9921d7 source=n_6ab0cfc54b87 edge_type=supports target=n_75b96ea518c3\nt=0038 ADD_EDGE edge_id=e_722ee2e0aacb source=n_6ab0cfc54b87 edge_type=supports target=n_bfea7bc91441\nt=0039 QUERY source=n_6987472fc1c3 target=n_8ad2d173c22a\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1906,"provenance":{"base_record_id":"train-d05-007","dataset":"livegraph-deterministic-parity-v3","depth":5,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d05-007","split":"train","variant":"clean"},"record_seed":25558861529900307,"render_sha256":"d4e70f95e77555ab8bb53853f350df6bf405e8263f5d02734f868f30852a6c24","representation":"linear_trace","semantic_sha256":"71a5b87e04f10eff3cae5ed75e5755ffc0b9ff42645b7d89be12ef47c6b53c10"}
{"char_count":3539,"item_id":"train-d05-008::linear_trace","label":"TRUE","lexical_token_proxy_count":608,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_681321fabfd0 node_type=claim\nt=0001 CREATE_NODE id=n_fe3767580f74 node_type=claim\nt=0002 CREATE_NODE id=n_c488d85b0699 node_type=claim\nt=0003 CREATE_NODE id=n_5a1426c5304f node_type=claim\nt=0004 CREATE_NODE id=n_77311a98903d node_type=claim\nt=0005 CREATE_NODE id=n_82d0a991751b node_type=claim\nt=0006 CREATE_NODE id=n_f9e1e12ccf20 node_type=claim\nt=0007 CREATE_NODE id=n_8e8a0d47d020 node_type=claim\nt=0008 CREATE_NODE id=n_0f54c6eb2266 node_type=claim\nt=0009 CREATE_NODE id=n_c7f19bf8f0ba node_type=claim\nt=0010 CREATE_NODE id=n_3f56d35f982a node_type=claim\nt=0011 CREATE_NODE id=n_89c11235c145 node_type=claim\nt=0012 CREATE_NODE id=n_19c29a65bb30 node_type=claim\nt=0013 CREATE_NODE id=n_3e1b6ecc1569 node_type=claim\nt=0014 CREATE_NODE id=n_d9a2e802c786 node_type=claim\nt=0015 CREATE_NODE id=n_4e39ae1f5cb5 node_type=claim\nt=0016 CREATE_NODE id=n_01766ffce7f3 node_type=claim\nt=0017 CREATE_NODE id=n_a6be35eb00f3 node_type=claim\nt=0018 CREATE_NODE id=n_37c2322317ac node_type=claim\nt=0019 CREATE_NODE id=n_54cf97d67f53 node_type=claim\nt=0020 ASSERT_ROOT node=n_c488d85b0699 value=TRUE\nt=0021 ADD_EDGE edge_id=e_15ea4d88f399 source=n_3e1b6ecc1569 edge_type=refutes target=n_89c11235c145\nt=0022 ADD_EDGE edge_id=e_7564a1087bc3 source=n_5a1426c5304f edge_type=refutes target=n_c7f19bf8f0ba\nt=0023 ADD_EDGE edge_id=e_a45072c811db source=n_54cf97d67f53 edge_type=supports target=n_fe3767580f74\nt=0024 ADD_EDGE edge_id=e_7b221b9e15ce source=n_c488d85b0699 edge_type=refutes target=n_3f56d35f982a\nt=0025 ADD_EDGE edge_id=e_3ef2e8d092f7 source=n_01766ffce7f3 edge_type=supports target=n_681321fabfd0\nt=0026 ADD_EDGE edge_id=e_40b8c775e6ca source=n_0f54c6eb2266 edge_type=supports target=n_4e39ae1f5cb5\nt=0027 ADD_EDGE edge_id=e_a601c3197bd4 source=n_0f54c6eb2266 edge_type=refutes target=n_a6be35eb00f3\nt=0028 ADD_EDGE edge_id=e_c336edb09f6f source=n_c7f19bf8f0ba edge_type=supports target=n_54cf97d67f53\nt=0029 ADD_EDGE edge_id=e_c945bef5e978 source=n_f9e1e12ccf20 edge_type=refutes target=n_5a1426c5304f\nt=0030 ADD_EDGE edge_id=e_f1be68d2a00a source=n_c488d85b0699 edge_type=refutes target=n_82d0a991751b\nt=0031 ADD_EDGE edge_id=e_1b1eaff3f863 source=n_5a1426c5304f edge_type=supports target=n_d9a2e802c786\nt=0032 ADD_EDGE edge_id=e_082d7c9a41ff source=n_c488d85b0699 edge_type=refutes target=n_19c29a65bb30\nt=0033 ADD_EDGE edge_id=e_93adeb563ea6 source=n_0f54c6eb2266 edge_type=supports target=n_8e8a0d47d020\nt=0034 ADD_EDGE edge_id=e_9ae1f6709c6a source=n_19c29a65bb30 edge_type=refutes target=n_01766ffce7f3\nt=0035 ADD_EDGE edge_id=e_870b2a809f34 source=n_37c2322317ac edge_type=supports target=n_3e1b6ecc1569\nt=0036 ADD_EDGE edge_id=e_1e4bcea50369 source=n_01766ffce7f3 edge_type=supports target=n_77311a98903d\nt=0037 ADD_EDGE edge_id=e_96c903029e7d source=n_77311a98903d edge_type=supports target=n_37c2322317ac\nt=0038 ADD_EDGE edge_id=e_8233b0a36d0a source=n_8e8a0d47d020 edge_type=refutes target=n_f9e1e12ccf20\nt=0039 QUERY source=n_c488d85b0699 target=n_3e1b6ecc1569\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1925,"provenance":{"base_record_id":"train-d05-008","dataset":"livegraph-deterministic-parity-v3","depth":5,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d05-008","split":"train","variant":"clean"},"record_seed":653669753537119608,"render_sha256":"70b139d6ec478abea8dbc4ddcfc784dd1977ceb03b01bc6993af77b484b550d4","representation":"linear_trace","semantic_sha256":"f57f47fcbd9b85d3bb9033d2ff30b4d1d6934eacf6535042a96af43104c65b03"}
{"char_count":3539,"item_id":"train-d05-009::linear_trace","label":"FALSE","lexical_token_proxy_count":608,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_ef9ebb2ac999 node_type=claim\nt=0001 CREATE_NODE id=n_73bb92fb6d9c node_type=claim\nt=0002 CREATE_NODE id=n_c9b858db7fc3 node_type=claim\nt=0003 CREATE_NODE id=n_3ee54a667cd2 node_type=claim\nt=0004 CREATE_NODE id=n_df99701305d6 node_type=claim\nt=0005 CREATE_NODE id=n_003b5f3c5cd4 node_type=claim\nt=0006 CREATE_NODE id=n_67181fd59fbf node_type=claim\nt=0007 CREATE_NODE id=n_bb2068084e6c node_type=claim\nt=0008 CREATE_NODE id=n_693d23f4eaa8 node_type=claim\nt=0009 CREATE_NODE id=n_34142d624f6b node_type=claim\nt=0010 CREATE_NODE id=n_31e2a881bb5b node_type=claim\nt=0011 CREATE_NODE id=n_75b4cc0c6f58 node_type=claim\nt=0012 CREATE_NODE id=n_cc071001eb80 node_type=claim\nt=0013 CREATE_NODE id=n_a415f2f0d460 node_type=claim\nt=0014 CREATE_NODE id=n_f553e131ce3f node_type=claim\nt=0015 CREATE_NODE id=n_c48a3bf99bce node_type=claim\nt=0016 CREATE_NODE id=n_538115f21560 node_type=claim\nt=0017 CREATE_NODE id=n_ec9840152f07 node_type=claim\nt=0018 CREATE_NODE id=n_c0d09f978d57 node_type=claim\nt=0019 CREATE_NODE id=n_93ed0acddb67 node_type=claim\nt=0020 ASSERT_ROOT node=n_df99701305d6 value=TRUE\nt=0021 ADD_EDGE edge_id=e_29e45dc971fe source=n_75b4cc0c6f58 edge_type=supports target=n_93ed0acddb67\nt=0022 ADD_EDGE edge_id=e_b182e49b24e7 source=n_cc071001eb80 edge_type=supports target=n_538115f21560\nt=0023 ADD_EDGE edge_id=e_4f52669e893a source=n_75b4cc0c6f58 edge_type=supports target=n_bb2068084e6c\nt=0024 ADD_EDGE edge_id=e_581969f8a331 source=n_93ed0acddb67 edge_type=refutes target=n_c9b858db7fc3\nt=0025 ADD_EDGE edge_id=e_683c3f2bcc2f source=n_93ed0acddb67 edge_type=supports target=n_cc071001eb80\nt=0026 ADD_EDGE edge_id=e_186c75b4234f source=n_ef9ebb2ac999 edge_type=supports target=n_c0d09f978d57\nt=0027 ADD_EDGE edge_id=e_1b9313cd3502 source=n_003b5f3c5cd4 edge_type=refutes target=n_f553e131ce3f\nt=0028 ADD_EDGE edge_id=e_4cf4c1d9f796 source=n_73bb92fb6d9c edge_type=refutes target=n_3ee54a667cd2\nt=0029 ADD_EDGE edge_id=e_b9f6d48801ae source=n_67181fd59fbf edge_type=supports target=n_31e2a881bb5b\nt=0030 ADD_EDGE edge_id=e_adf3ed0c374d source=n_67181fd59fbf edge_type=refutes target=n_c48a3bf99bce\nt=0031 ADD_EDGE edge_id=e_17eb52713665 source=n_df99701305d6 edge_type=refutes target=n_ef9ebb2ac999\nt=0032 ADD_EDGE edge_id=e_592eec9ca73a source=n_003b5f3c5cd4 edge_type=refutes target=n_67181fd59fbf\nt=0033 ADD_EDGE edge_id=e_baf29c9d32fb source=n_cc071001eb80 edge_type=refutes target=n_693d23f4eaa8\nt=0034 ADD_EDGE edge_id=e_6a841773e028 source=n_a415f2f0d460 edge_type=refutes target=n_ec9840152f07\nt=0035 ADD_EDGE edge_id=e_2032bca39ea6 source=n_73bb92fb6d9c edge_type=supports target=n_34142d624f6b\nt=0036 ADD_EDGE edge_id=e_5de07d8ebaaa source=n_f553e131ce3f edge_type=refutes target=n_73bb92fb6d9c\nt=0037 ADD_EDGE edge_id=e_9c91db30c4d0 source=n_ef9ebb2ac999 edge_type=supports target=n_75b4cc0c6f58\nt=0038 ADD_EDGE edge_id=e_b90f9f266495 source=n_c48a3bf99bce edge_type=supports target=n_a415f2f0d460\nt=0039 QUERY source=n_df99701305d6 target=n_538115f21560\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1887,"provenance":{"base_record_id":"train-d05-009","dataset":"livegraph-deterministic-parity-v3","depth":5,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d05-009","split":"train","variant":"clean"},"record_seed":173690553424357498,"render_sha256":"3148ffcf8c6c08b5b45ba6af9a5bba14fe0312c8850abb48421d041578475c74","representation":"linear_trace","semantic_sha256":"238a2855fc20fea6a2d557a8ad39c276337ea25003f2170a412b43bfc735d0c5"}
{"char_count":3540,"item_id":"train-d05-010::linear_trace","label":"TRUE","lexical_token_proxy_count":608,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_6e682944e7de node_type=claim\nt=0001 CREATE_NODE id=n_9e56aaa294b9 node_type=claim\nt=0002 CREATE_NODE id=n_b20685463830 node_type=claim\nt=0003 CREATE_NODE id=n_fb19b2759d1b node_type=claim\nt=0004 CREATE_NODE id=n_d0ad4727383b node_type=claim\nt=0005 CREATE_NODE id=n_3a50b9d5c718 node_type=claim\nt=0006 CREATE_NODE id=n_d7e545468f9d node_type=claim\nt=0007 CREATE_NODE id=n_28bc0ae1c45a node_type=claim\nt=0008 CREATE_NODE id=n_69df676a4c34 node_type=claim\nt=0009 CREATE_NODE id=n_f76223b48e80 node_type=claim\nt=0010 CREATE_NODE id=n_2adb174593a0 node_type=claim\nt=0011 CREATE_NODE id=n_0fb5101d11d8 node_type=claim\nt=0012 CREATE_NODE id=n_02d37703feea node_type=claim\nt=0013 CREATE_NODE id=n_c4bc064b52b5 node_type=claim\nt=0014 CREATE_NODE id=n_4ac48d5c9924 node_type=claim\nt=0015 CREATE_NODE id=n_8d3f5a17e0f3 node_type=claim\nt=0016 CREATE_NODE id=n_c74a9cd54635 node_type=claim\nt=0017 CREATE_NODE id=n_8a616dbaeee3 node_type=claim\nt=0018 CREATE_NODE id=n_f617658dd530 node_type=claim\nt=0019 CREATE_NODE id=n_aae46cf30fc2 node_type=claim\nt=0020 ASSERT_ROOT node=n_02d37703feea value=FALSE\nt=0021 ADD_EDGE edge_id=e_f5b0044acf52 source=n_d7e545468f9d edge_type=supports target=n_c74a9cd54635\nt=0022 ADD_EDGE edge_id=e_242fb6e85e74 source=n_02d37703feea edge_type=refutes target=n_8d3f5a17e0f3\nt=0023 ADD_EDGE edge_id=e_e3cca827efe1 source=n_f617658dd530 edge_type=refutes target=n_fb19b2759d1b\nt=0024 ADD_EDGE edge_id=e_a6d79c5c7265 source=n_8d3f5a17e0f3 edge_type=refutes target=n_4ac48d5c9924\nt=0025 ADD_EDGE edge_id=e_38b7a80108bf source=n_f617658dd530 edge_type=refutes target=n_c4bc064b52b5\nt=0026 ADD_EDGE edge_id=e_37a033ba9e57 source=n_f76223b48e80 edge_type=supports target=n_69df676a4c34\nt=0027 ADD_EDGE edge_id=e_fe1482ab5124 source=n_8a616dbaeee3 edge_type=refutes target=n_f617658dd530\nt=0028 ADD_EDGE edge_id=e_954f7894eb42 source=n_f617658dd530 edge_type=supports target=n_0fb5101d11d8\nt=0029 ADD_EDGE edge_id=e_4f896fb338f1 source=n_d7e545468f9d edge_type=supports target=n_d0ad4727383b\nt=0030 ADD_EDGE edge_id=e_2cad9c410aa8 source=n_aae46cf30fc2 edge_type=supports target=n_d7e545468f9d\nt=0031 ADD_EDGE edge_id=e_99118286408a source=n_d7e545468f9d edge_type=supports target=n_6e682944e7de\nt=0032 ADD_EDGE edge_id=e_585a34cc0a71 source=n_4ac48d5c9924 edge_type=refutes target=n_8a616dbaeee3\nt=0033 ADD_EDGE edge_id=e_a4455bcda14d source=n_6e682944e7de edge_type=refutes target=n_28bc0ae1c45a\nt=0034 ADD_EDGE edge_id=e_e8499b7fda97 source=n_02d37703feea edge_type=supports target=n_2adb174593a0\nt=0035 ADD_EDGE edge_id=e_5f8cc9842233 source=n_4ac48d5c9924 edge_type=supports target=n_9e56aaa294b9\nt=0036 ADD_EDGE edge_id=e_761fe3cda723 source=n_d7e545468f9d edge_type=refutes target=n_b20685463830\nt=0037 ADD_EDGE edge_id=e_065f7ca57246 source=n_d0ad4727383b edge_type=refutes target=n_f76223b48e80\nt=0038 ADD_EDGE edge_id=e_4392adac6e93 source=n_6e682944e7de edge_type=supports target=n_3a50b9d5c718\nt=0039 QUERY source=n_02d37703feea target=n_fb19b2759d1b\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1905,"provenance":{"base_record_id":"train-d05-010","dataset":"livegraph-deterministic-parity-v3","depth":5,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d05-010","split":"train","variant":"clean"},"record_seed":332977608833557900,"render_sha256":"b031445b4551dde168ed4a1f852202f81dfaa6aaf20fbfd62f865c43bcfdaedb","representation":"linear_trace","semantic_sha256":"c1039691807b9d41711d6b6006e23cb42aab41738ada08284a392ce76cc47f00"}
{"char_count":3540,"item_id":"train-d05-011::linear_trace","label":"FALSE","lexical_token_proxy_count":608,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_5581628b5450 node_type=claim\nt=0001 CREATE_NODE id=n_781d17221ce4 node_type=claim\nt=0002 CREATE_NODE id=n_c2d8e4102f2a node_type=claim\nt=0003 CREATE_NODE id=n_f84d89908767 node_type=claim\nt=0004 CREATE_NODE id=n_c788e0f24f81 node_type=claim\nt=0005 CREATE_NODE id=n_1f1671cd8125 node_type=claim\nt=0006 CREATE_NODE id=n_539552d099e8 node_type=claim\nt=0007 CREATE_NODE id=n_e6d3fde94435 node_type=claim\nt=0008 CREATE_NODE id=n_547f75fddb7f node_type=claim\nt=0009 CREATE_NODE id=n_73af27dc8c72 node_type=claim\nt=0010 CREATE_NODE id=n_b5a41deb4d6f node_type=claim\nt=0011 CREATE_NODE id=n_ee78ac362d0f node_type=claim\nt=0012 CREATE_NODE id=n_68161bc0ae60 node_type=claim\nt=0013 CREATE_NODE id=n_dc712cbe835a node_type=claim\nt=0014 CREATE_NODE id=n_26fae7c5d9f7 node_type=claim\nt=0015 CREATE_NODE id=n_888f5bb1d53b node_type=claim\nt=0016 CREATE_NODE id=n_69d0f1c67cea node_type=claim\nt=0017 CREATE_NODE id=n_f8137bb68c6a node_type=claim\nt=0018 CREATE_NODE id=n_eed445ed8157 node_type=claim\nt=0019 CREATE_NODE id=n_fe2c529fcc50 node_type=claim\nt=0020 ASSERT_ROOT node=n_c788e0f24f81 value=FALSE\nt=0021 ADD_EDGE edge_id=e_169212ca01c0 source=n_c2d8e4102f2a edge_type=refutes target=n_68161bc0ae60\nt=0022 ADD_EDGE edge_id=e_44ffdb86ba8e source=n_f84d89908767 edge_type=supports target=n_c2d8e4102f2a\nt=0023 ADD_EDGE edge_id=e_0e8b36bbd0b4 source=n_f84d89908767 edge_type=refutes target=n_73af27dc8c72\nt=0024 ADD_EDGE edge_id=e_8ea2caeded32 source=n_b5a41deb4d6f edge_type=refutes target=n_dc712cbe835a\nt=0025 ADD_EDGE edge_id=e_d78130deca8e source=n_68161bc0ae60 edge_type=refutes target=n_5581628b5450\nt=0026 ADD_EDGE edge_id=e_43e820472dbc source=n_fe2c529fcc50 edge_type=supports target=n_1f1671cd8125\nt=0027 ADD_EDGE edge_id=e_69b7daf6b7eb source=n_c2d8e4102f2a edge_type=refutes target=n_781d17221ce4\nt=0028 ADD_EDGE edge_id=e_e4e0396573e1 source=n_5581628b5450 edge_type=supports target=n_ee78ac362d0f\nt=0029 ADD_EDGE edge_id=e_d17bcc0af8e0 source=n_dc712cbe835a edge_type=supports target=n_e6d3fde94435\nt=0030 ADD_EDGE edge_id=e_74be6f3b6bcc source=n_539552d099e8 edge_type=refutes target=n_fe2c529fcc50\nt=0031 ADD_EDGE edge_id=e_c5cda1c7057c source=n_c2d8e4102f2a edge_type=refutes target=n_69d0f1c67cea\nt=0032 ADD_EDGE edge_id=e_c72a68dcc79f source=n_dc712cbe835a edge_type=refutes target=n_539552d099e8\nt=0033 ADD_EDGE edge_id=e_c987740d6eb5 source=n_547f75fddb7f edge_type=supports target=n_888f5bb1d53b\nt=0034 ADD_EDGE edge_id=e_e02114d3fc9e source=n_c788e0f24f81 edge_type=supports target=n_f84d89908767\nt=0035 ADD_EDGE edge_id=e_b6c0afcdce7b source=n_547f75fddb7f edge_type=refutes target=n_f8137bb68c6a\nt=0036 ADD_EDGE edge_id=e_bc570cced9c9 source=n_c2d8e4102f2a edge_type=supports target=n_eed445ed8157\nt=0037 ADD_EDGE edge_id=e_861868334d4c source=n_b5a41deb4d6f edge_type=supports target=n_547f75fddb7f\nt=0038 ADD_EDGE edge_id=e_17c28aee348f source=n_547f75fddb7f edge_type=supports target=n_26fae7c5d9f7\nt=0039 QUERY source=n_c788e0f24f81 target=n_ee78ac362d0f\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1902,"provenance":{"base_record_id":"train-d05-011","dataset":"livegraph-deterministic-parity-v3","depth":5,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d05-011","split":"train","variant":"clean"},"record_seed":1006199088880339725,"render_sha256":"fb8207e67b3d960e90f30e2868d1ce9e683aff83db46b46e37e2d3c6a65ae3be","representation":"linear_trace","semantic_sha256":"fafece1a5adc8dba5990a6ea8616fcb79bab29e7e4616e36b86b9f8e87228cd4"}
{"char_count":3539,"item_id":"train-d05-012::linear_trace","label":"TRUE","lexical_token_proxy_count":608,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_b2362415fb67 node_type=claim\nt=0001 CREATE_NODE id=n_2f025ccabf05 node_type=claim\nt=0002 CREATE_NODE id=n_41a02259fd8f node_type=claim\nt=0003 CREATE_NODE id=n_aa596836b4c8 node_type=claim\nt=0004 CREATE_NODE id=n_ea5fd0bd72b3 node_type=claim\nt=0005 CREATE_NODE id=n_80e598ea1a2e node_type=claim\nt=0006 CREATE_NODE id=n_114efe713ba9 node_type=claim\nt=0007 CREATE_NODE id=n_df1ac036f33c node_type=claim\nt=0008 CREATE_NODE id=n_38132873e45f node_type=claim\nt=0009 CREATE_NODE id=n_269bf011b9da node_type=claim\nt=0010 CREATE_NODE id=n_51e9b7224b82 node_type=claim\nt=0011 CREATE_NODE id=n_6e467114f2ec node_type=claim\nt=0012 CREATE_NODE id=n_7ed208eae546 node_type=claim\nt=0013 CREATE_NODE id=n_d00430d2a422 node_type=claim\nt=0014 CREATE_NODE id=n_a4c6cfe2be9b node_type=claim\nt=0015 CREATE_NODE id=n_9093860901b4 node_type=claim\nt=0016 CREATE_NODE id=n_3ea10cbf8d71 node_type=claim\nt=0017 CREATE_NODE id=n_3a2c032cffba node_type=claim\nt=0018 CREATE_NODE id=n_4a1d176fc199 node_type=claim\nt=0019 CREATE_NODE id=n_f3cb4c30d250 node_type=claim\nt=0020 ASSERT_ROOT node=n_41a02259fd8f value=TRUE\nt=0021 ADD_EDGE edge_id=e_2c7a808e611f source=n_3ea10cbf8d71 edge_type=refutes target=n_3a2c032cffba\nt=0022 ADD_EDGE edge_id=e_4123f2ed86b1 source=n_4a1d176fc199 edge_type=supports target=n_38132873e45f\nt=0023 ADD_EDGE edge_id=e_eaf620ffae29 source=n_269bf011b9da edge_type=supports target=n_aa596836b4c8\nt=0024 ADD_EDGE edge_id=e_62853884fe81 source=n_2f025ccabf05 edge_type=supports target=n_7ed208eae546\nt=0025 ADD_EDGE edge_id=e_97504ce7cf91 source=n_3ea10cbf8d71 edge_type=supports target=n_80e598ea1a2e\nt=0026 ADD_EDGE edge_id=e_595ee38d8374 source=n_2f025ccabf05 edge_type=refutes target=n_114efe713ba9\nt=0027 ADD_EDGE edge_id=e_ce307b119f04 source=n_80e598ea1a2e edge_type=refutes target=n_269bf011b9da\nt=0028 ADD_EDGE edge_id=e_339e5c7b6fda source=n_4a1d176fc199 edge_type=supports target=n_b2362415fb67\nt=0029 ADD_EDGE edge_id=e_ca8863c5587f source=n_4a1d176fc199 edge_type=supports target=n_ea5fd0bd72b3\nt=0030 ADD_EDGE edge_id=e_7501a72da54d source=n_41a02259fd8f edge_type=supports target=n_d00430d2a422\nt=0031 ADD_EDGE edge_id=e_84e251edc0dc source=n_80e598ea1a2e edge_type=supports target=n_df1ac036f33c\nt=0032 ADD_EDGE edge_id=e_9e75a88b66a3 source=n_41a02259fd8f edge_type=supports target=n_a4c6cfe2be9b\nt=0033 ADD_EDGE edge_id=e_f778e60b402b source=n_114efe713ba9 edge_type=refutes target=n_f3cb4c30d250\nt=0034 ADD_EDGE edge_id=e_31f0e99a5c95 source=n_b2362415fb67 edge_type=refutes target=n_9093860901b4\nt=0035 ADD_EDGE edge_id=e_a8c2b9db22b1 source=n_4a1d176fc199 edge_type=refutes target=n_2f025ccabf05\nt=0036 ADD_EDGE edge_id=e_a9d4cb06ea29 source=n_a4c6cfe2be9b edge_type=refutes target=n_3ea10cbf8d71\nt=0037 ADD_EDGE edge_id=e_656ebbb6fd90 source=n_aa596836b4c8 edge_type=refutes target=n_51e9b7224b82\nt=0038 ADD_EDGE edge_id=e_1baae022b9e3 source=n_114efe713ba9 edge_type=refutes target=n_6e467114f2ec\nt=0039 QUERY source=n_41a02259fd8f target=n_aa596836b4c8\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1888,"provenance":{"base_record_id":"train-d05-012","dataset":"livegraph-deterministic-parity-v3","depth":5,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d05-012","split":"train","variant":"clean"},"record_seed":359331536473353031,"render_sha256":"edf5e9adc98064aaefb1f1c6ad103b7c5ac8f1331186e223152365b630c581ad","representation":"linear_trace","semantic_sha256":"c18b5084d40e4866ad7c7609f539dcff08453c6c4c27a9e08b1145fabd0b0119"}
{"char_count":3539,"item_id":"train-d05-013::linear_trace","label":"FALSE","lexical_token_proxy_count":608,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_2e6f0696aa2b node_type=claim\nt=0001 CREATE_NODE id=n_8f62d427809b node_type=claim\nt=0002 CREATE_NODE id=n_7ef293c90fd3 node_type=claim\nt=0003 CREATE_NODE id=n_c529eea322e9 node_type=claim\nt=0004 CREATE_NODE id=n_a4c5d148f79f node_type=claim\nt=0005 CREATE_NODE id=n_0120c960f221 node_type=claim\nt=0006 CREATE_NODE id=n_42f298d2d756 node_type=claim\nt=0007 CREATE_NODE id=n_59bc61601b4f node_type=claim\nt=0008 CREATE_NODE id=n_b50e8a0828c7 node_type=claim\nt=0009 CREATE_NODE id=n_dc02117299a9 node_type=claim\nt=0010 CREATE_NODE id=n_5698a76ba313 node_type=claim\nt=0011 CREATE_NODE id=n_9b4208371165 node_type=claim\nt=0012 CREATE_NODE id=n_ba493a78860f node_type=claim\nt=0013 CREATE_NODE id=n_df4a59f3a9d6 node_type=claim\nt=0014 CREATE_NODE id=n_fc18b3d3cd71 node_type=claim\nt=0015 CREATE_NODE id=n_39ec811bc36b node_type=claim\nt=0016 CREATE_NODE id=n_32822cc46f2a node_type=claim\nt=0017 CREATE_NODE id=n_e49417bc8b92 node_type=claim\nt=0018 CREATE_NODE id=n_1565b60cc99f node_type=claim\nt=0019 CREATE_NODE id=n_41335bb2cdd6 node_type=claim\nt=0020 ASSERT_ROOT node=n_b50e8a0828c7 value=TRUE\nt=0021 ADD_EDGE edge_id=e_042be4fed829 source=n_fc18b3d3cd71 edge_type=refutes target=n_39ec811bc36b\nt=0022 ADD_EDGE edge_id=e_6db6b52e4815 source=n_32822cc46f2a edge_type=refutes target=n_2e6f0696aa2b\nt=0023 ADD_EDGE edge_id=e_8f10abd479b5 source=n_59bc61601b4f edge_type=supports target=n_42f298d2d756\nt=0024 ADD_EDGE edge_id=e_12c64e69bd2a source=n_0120c960f221 edge_type=refutes target=n_8f62d427809b\nt=0025 ADD_EDGE edge_id=e_242d964760ed source=n_df4a59f3a9d6 edge_type=supports target=n_5698a76ba313\nt=0026 ADD_EDGE edge_id=e_69e1ab0f2169 source=n_32822cc46f2a edge_type=supports target=n_41335bb2cdd6\nt=0027 ADD_EDGE edge_id=e_46bf540698d5 source=n_2e6f0696aa2b edge_type=refutes target=n_dc02117299a9\nt=0028 ADD_EDGE edge_id=e_35fcf90abc7a source=n_fc18b3d3cd71 edge_type=supports target=n_ba493a78860f\nt=0029 ADD_EDGE edge_id=e_94e7fc2342cb source=n_e49417bc8b92 edge_type=supports target=n_7ef293c90fd3\nt=0030 ADD_EDGE edge_id=e_b418eca2c767 source=n_8f62d427809b edge_type=refutes target=n_a4c5d148f79f\nt=0031 ADD_EDGE edge_id=e_862f3226f86f source=n_b50e8a0828c7 edge_type=supports target=n_9b4208371165\nt=0032 ADD_EDGE edge_id=e_9e19f6ef8d07 source=n_8f62d427809b edge_type=refutes target=n_e49417bc8b92\nt=0033 ADD_EDGE edge_id=e_ad8658d150e8 source=n_7ef293c90fd3 edge_type=supports target=n_1565b60cc99f\nt=0034 ADD_EDGE edge_id=e_2d06fea79c46 source=n_5698a76ba313 edge_type=refutes target=n_32822cc46f2a\nt=0035 ADD_EDGE edge_id=e_5b829c8b0e2e source=n_df4a59f3a9d6 edge_type=refutes target=n_c529eea322e9\nt=0036 ADD_EDGE edge_id=e_a2ea8590eecc source=n_fc18b3d3cd71 edge_type=supports target=n_df4a59f3a9d6\nt=0037 ADD_EDGE edge_id=e_f2cbb722eec1 source=n_b50e8a0828c7 edge_type=supports target=n_59bc61601b4f\nt=0038 ADD_EDGE edge_id=e_d037f55fab8d source=n_59bc61601b4f edge_type=refutes target=n_0120c960f221\nt=0039 QUERY source=n_b50e8a0828c7 target=n_7ef293c90fd3\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1916,"provenance":{"base_record_id":"train-d05-013","dataset":"livegraph-deterministic-parity-v3","depth":5,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d05-013","split":"train","variant":"clean"},"record_seed":134630462592276429,"render_sha256":"4d5f3de75f0d507bd23547c1ae6e532437b136ba7bfa459ba4e423718b36f609","representation":"linear_trace","semantic_sha256":"de0385596175ca4947a4dfa57e2578a1745edcf45b8a5f67ea8a6fb02d475c76"}
{"char_count":3540,"item_id":"train-d05-014::linear_trace","label":"TRUE","lexical_token_proxy_count":608,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_1960ad30a56a node_type=claim\nt=0001 CREATE_NODE id=n_6b20c3b05d8d node_type=claim\nt=0002 CREATE_NODE id=n_aa5dc3b147a3 node_type=claim\nt=0003 CREATE_NODE id=n_4a3d597dd220 node_type=claim\nt=0004 CREATE_NODE id=n_72a33d6b2aac node_type=claim\nt=0005 CREATE_NODE id=n_c722f5ba4d6f node_type=claim\nt=0006 CREATE_NODE id=n_0d60dfb215e9 node_type=claim\nt=0007 CREATE_NODE id=n_19da291cae6d node_type=claim\nt=0008 CREATE_NODE id=n_b87198eeba8d node_type=claim\nt=0009 CREATE_NODE id=n_bb77df2c6010 node_type=claim\nt=0010 CREATE_NODE id=n_c1f43b1c9b34 node_type=claim\nt=0011 CREATE_NODE id=n_238647a13c64 node_type=claim\nt=0012 CREATE_NODE id=n_9f3fe503d80f node_type=claim\nt=0013 CREATE_NODE id=n_1714bb00b441 node_type=claim\nt=0014 CREATE_NODE id=n_2a4f75383f65 node_type=claim\nt=0015 CREATE_NODE id=n_b64c2f9a380b node_type=claim\nt=0016 CREATE_NODE id=n_998a79189782 node_type=claim\nt=0017 CREATE_NODE id=n_c644e07a9f67 node_type=claim\nt=0018 CREATE_NODE id=n_2b443e0a9704 node_type=claim\nt=0019 CREATE_NODE id=n_398410bc921f node_type=claim\nt=0020 ASSERT_ROOT node=n_998a79189782 value=FALSE\nt=0021 ADD_EDGE edge_id=e_a1f6ad1363b3 source=n_998a79189782 edge_type=supports target=n_b87198eeba8d\nt=0022 ADD_EDGE edge_id=e_b3e03db344b3 source=n_9f3fe503d80f edge_type=supports target=n_19da291cae6d\nt=0023 ADD_EDGE edge_id=e_ff40db984df2 source=n_c1f43b1c9b34 edge_type=supports target=n_9f3fe503d80f\nt=0024 ADD_EDGE edge_id=e_03c5553cb391 source=n_1960ad30a56a edge_type=refutes target=n_72a33d6b2aac\nt=0025 ADD_EDGE edge_id=e_279fa3fa5205 source=n_bb77df2c6010 edge_type=refutes target=n_1960ad30a56a\nt=0026 ADD_EDGE edge_id=e_9253717309ab source=n_b64c2f9a380b edge_type=refutes target=n_bb77df2c6010\nt=0027 ADD_EDGE edge_id=e_925314803c2e source=n_c644e07a9f67 edge_type=refutes target=n_1714bb00b441\nt=0028 ADD_EDGE edge_id=e_ec5928feee43 source=n_aa5dc3b147a3 edge_type=refutes target=n_4a3d597dd220\nt=0029 ADD_EDGE edge_id=e_7012416d9d4c source=n_aa5dc3b147a3 edge_type=supports target=n_2a4f75383f65\nt=0030 ADD_EDGE edge_id=e_5bf802071ad7 source=n_1714bb00b441 edge_type=supports target=n_398410bc921f\nt=0031 ADD_EDGE edge_id=e_dc0287cb5db5 source=n_aa5dc3b147a3 edge_type=supports target=n_c644e07a9f67\nt=0032 ADD_EDGE edge_id=e_1120dda58479 source=n_c1f43b1c9b34 edge_type=refutes target=n_aa5dc3b147a3\nt=0033 ADD_EDGE edge_id=e_91508f6d3fdc source=n_bb77df2c6010 edge_type=refutes target=n_0d60dfb215e9\nt=0034 ADD_EDGE edge_id=e_d0619e5c702c source=n_998a79189782 edge_type=refutes target=n_b64c2f9a380b\nt=0035 ADD_EDGE edge_id=e_c92ff7eb21b1 source=n_72a33d6b2aac edge_type=refutes target=n_6b20c3b05d8d\nt=0036 ADD_EDGE edge_id=e_575a1f3056cb source=n_6b20c3b05d8d edge_type=supports target=n_238647a13c64\nt=0037 ADD_EDGE edge_id=e_260bfac36e40 source=n_1960ad30a56a edge_type=supports target=n_c722f5ba4d6f\nt=0038 ADD_EDGE edge_id=e_c9c818fae079 source=n_19da291cae6d edge_type=supports target=n_2b443e0a9704\nt=0039 QUERY source=n_998a79189782 target=n_6b20c3b05d8d\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1921,"provenance":{"base_record_id":"train-d05-014","dataset":"livegraph-deterministic-parity-v3","depth":5,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d05-014","split":"train","variant":"clean"},"record_seed":685896819462192016,"render_sha256":"14e97d11bdab314a8703d43c44ee1958fcb8aaf770ff3efcd5b968421aa4c47a","representation":"linear_trace","semantic_sha256":"3ef7a48a0636ad4e38a6023535400bf26f34f59b7163da2f73657d678fb0ecb8"}
{"char_count":3540,"item_id":"train-d05-015::linear_trace","label":"FALSE","lexical_token_proxy_count":608,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_14f3f3b7b1ca node_type=claim\nt=0001 CREATE_NODE id=n_525cef93a3e0 node_type=claim\nt=0002 CREATE_NODE id=n_2c79c4a41dab node_type=claim\nt=0003 CREATE_NODE id=n_ce01fa70b192 node_type=claim\nt=0004 CREATE_NODE id=n_068c2c7c3186 node_type=claim\nt=0005 CREATE_NODE id=n_e790fd8b6c64 node_type=claim\nt=0006 CREATE_NODE id=n_9807f304a028 node_type=claim\nt=0007 CREATE_NODE id=n_60b8d0ba0778 node_type=claim\nt=0008 CREATE_NODE id=n_54277627dd07 node_type=claim\nt=0009 CREATE_NODE id=n_a590e2aff076 node_type=claim\nt=0010 CREATE_NODE id=n_d9aafc267e8b node_type=claim\nt=0011 CREATE_NODE id=n_f419052a12fa node_type=claim\nt=0012 CREATE_NODE id=n_09e9ad8a63f2 node_type=claim\nt=0013 CREATE_NODE id=n_f156850d9909 node_type=claim\nt=0014 CREATE_NODE id=n_3e53a4df3aee node_type=claim\nt=0015 CREATE_NODE id=n_ec8e509d2d4c node_type=claim\nt=0016 CREATE_NODE id=n_5071f7a2ff64 node_type=claim\nt=0017 CREATE_NODE id=n_f3761e790906 node_type=claim\nt=0018 CREATE_NODE id=n_bd12976cbfc5 node_type=claim\nt=0019 CREATE_NODE id=n_5663ca863647 node_type=claim\nt=0020 ASSERT_ROOT node=n_60b8d0ba0778 value=FALSE\nt=0021 ADD_EDGE edge_id=e_8191ec2f4a55 source=n_f156850d9909 edge_type=supports target=n_09e9ad8a63f2\nt=0022 ADD_EDGE edge_id=e_d9541a44e232 source=n_f156850d9909 edge_type=supports target=n_14f3f3b7b1ca\nt=0023 ADD_EDGE edge_id=e_79830d999d9c source=n_bd12976cbfc5 edge_type=supports target=n_ec8e509d2d4c\nt=0024 ADD_EDGE edge_id=e_1db5f045ee39 source=n_60b8d0ba0778 edge_type=refutes target=n_e790fd8b6c64\nt=0025 ADD_EDGE edge_id=e_3ff4671bb7d0 source=n_f419052a12fa edge_type=supports target=n_a590e2aff076\nt=0026 ADD_EDGE edge_id=e_c21659dc2396 source=n_ec8e509d2d4c edge_type=refutes target=n_5071f7a2ff64\nt=0027 ADD_EDGE edge_id=e_0c8c888ad50e source=n_a590e2aff076 edge_type=supports target=n_5663ca863647\nt=0028 ADD_EDGE edge_id=e_8b4f2e1f7469 source=n_ec8e509d2d4c edge_type=refutes target=n_f3761e790906\nt=0029 ADD_EDGE edge_id=e_fcb806b26c61 source=n_068c2c7c3186 edge_type=refutes target=n_54277627dd07\nt=0030 ADD_EDGE edge_id=e_8edf75351483 source=n_ce01fa70b192 edge_type=supports target=n_525cef93a3e0\nt=0031 ADD_EDGE edge_id=e_623b8f0c4d62 source=n_14f3f3b7b1ca edge_type=refutes target=n_9807f304a028\nt=0032 ADD_EDGE edge_id=e_4a8510d76c81 source=n_54277627dd07 edge_type=refutes target=n_bd12976cbfc5\nt=0033 ADD_EDGE edge_id=e_42c86f0946dc source=n_f156850d9909 edge_type=supports target=n_f419052a12fa\nt=0034 ADD_EDGE edge_id=e_7d48f8e0b8f8 source=n_068c2c7c3186 edge_type=supports target=n_d9aafc267e8b\nt=0035 ADD_EDGE edge_id=e_4395e24e3a32 source=n_60b8d0ba0778 edge_type=refutes target=n_068c2c7c3186\nt=0036 ADD_EDGE edge_id=e_969455a215ac source=n_f156850d9909 edge_type=refutes target=n_ce01fa70b192\nt=0037 ADD_EDGE edge_id=e_bafc1480d392 source=n_f3761e790906 edge_type=supports target=n_2c79c4a41dab\nt=0038 ADD_EDGE edge_id=e_5f3f5e943701 source=n_f156850d9909 edge_type=refutes target=n_3e53a4df3aee\nt=0039 QUERY source=n_60b8d0ba0778 target=n_f3761e790906\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1923,"provenance":{"base_record_id":"train-d05-015","dataset":"livegraph-deterministic-parity-v3","depth":5,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d05-015","split":"train","variant":"clean"},"record_seed":1147433188380056365,"render_sha256":"54201289ea9e4cbab548fbe024758f36e51262284bb735697c9352fc0f751b79","representation":"linear_trace","semantic_sha256":"19beffdcbe11dafce4097b7d699139e13a1aaacee4ed16ab702661caa5a46c68"}
{"char_count":3539,"item_id":"train-d05-016::linear_trace","label":"TRUE","lexical_token_proxy_count":608,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_927d5bd04ca9 node_type=claim\nt=0001 CREATE_NODE id=n_cfce7f871958 node_type=claim\nt=0002 CREATE_NODE id=n_2a5f88b0289e node_type=claim\nt=0003 CREATE_NODE id=n_18a3640111ee node_type=claim\nt=0004 CREATE_NODE id=n_c99900e8b21d node_type=claim\nt=0005 CREATE_NODE id=n_c4fc50ddcd73 node_type=claim\nt=0006 CREATE_NODE id=n_d5dff7acde90 node_type=claim\nt=0007 CREATE_NODE id=n_4a8e1efc85f3 node_type=claim\nt=0008 CREATE_NODE id=n_e5bfd6257047 node_type=claim\nt=0009 CREATE_NODE id=n_f9ebff673470 node_type=claim\nt=0010 CREATE_NODE id=n_d71eef84ced2 node_type=claim\nt=0011 CREATE_NODE id=n_c6bbd0c21880 node_type=claim\nt=0012 CREATE_NODE id=n_e646f869c284 node_type=claim\nt=0013 CREATE_NODE id=n_cf4ca923fbfc node_type=claim\nt=0014 CREATE_NODE id=n_60bd47abb200 node_type=claim\nt=0015 CREATE_NODE id=n_903ddad64c34 node_type=claim\nt=0016 CREATE_NODE id=n_435888b25e7e node_type=claim\nt=0017 CREATE_NODE id=n_9c2e75681e86 node_type=claim\nt=0018 CREATE_NODE id=n_81de33ff5ca4 node_type=claim\nt=0019 CREATE_NODE id=n_9afcb6244a16 node_type=claim\nt=0020 ASSERT_ROOT node=n_f9ebff673470 value=TRUE\nt=0021 ADD_EDGE edge_id=e_5dfaf217be32 source=n_81de33ff5ca4 edge_type=refutes target=n_2a5f88b0289e\nt=0022 ADD_EDGE edge_id=e_ccceadffc5ca source=n_d71eef84ced2 edge_type=refutes target=n_c99900e8b21d\nt=0023 ADD_EDGE edge_id=e_5d02a8cdfc51 source=n_435888b25e7e edge_type=supports target=n_cf4ca923fbfc\nt=0024 ADD_EDGE edge_id=e_3d3a437075cc source=n_4a8e1efc85f3 edge_type=supports target=n_60bd47abb200\nt=0025 ADD_EDGE edge_id=e_9e7aadc25085 source=n_81de33ff5ca4 edge_type=refutes target=n_927d5bd04ca9\nt=0026 ADD_EDGE edge_id=e_f311e421823d source=n_cf4ca923fbfc edge_type=supports target=n_cfce7f871958\nt=0027 ADD_EDGE edge_id=e_38f6f3adf484 source=n_c6bbd0c21880 edge_type=refutes target=n_81de33ff5ca4\nt=0028 ADD_EDGE edge_id=e_2e95918894a8 source=n_f9ebff673470 edge_type=supports target=n_d71eef84ced2\nt=0029 ADD_EDGE edge_id=e_6c99781258c0 source=n_c99900e8b21d edge_type=refutes target=n_c6bbd0c21880\nt=0030 ADD_EDGE edge_id=e_fc38e992cac8 source=n_e5bfd6257047 edge_type=supports target=n_18a3640111ee\nt=0031 ADD_EDGE edge_id=e_a67f648ff7bd source=n_903ddad64c34 edge_type=supports target=n_d5dff7acde90\nt=0032 ADD_EDGE edge_id=e_c0fcd37ebb07 source=n_e5bfd6257047 edge_type=supports target=n_4a8e1efc85f3\nt=0033 ADD_EDGE edge_id=e_16e8facba230 source=n_60bd47abb200 edge_type=refutes target=n_435888b25e7e\nt=0034 ADD_EDGE edge_id=e_26652eaeae6b source=n_81de33ff5ca4 edge_type=refutes target=n_c4fc50ddcd73\nt=0035 ADD_EDGE edge_id=e_23011ec91505 source=n_d5dff7acde90 edge_type=supports target=n_e646f869c284\nt=0036 ADD_EDGE edge_id=e_d6eee0a6672f source=n_927d5bd04ca9 edge_type=refutes target=n_9c2e75681e86\nt=0037 ADD_EDGE edge_id=e_da6a5671d485 source=n_c6bbd0c21880 edge_type=supports target=n_9afcb6244a16\nt=0038 ADD_EDGE edge_id=e_36706bbeee8a source=n_e5bfd6257047 edge_type=refutes target=n_903ddad64c34\nt=0039 QUERY source=n_f9ebff673470 target=n_927d5bd04ca9\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1860,"provenance":{"base_record_id":"train-d05-016","dataset":"livegraph-deterministic-parity-v3","depth":5,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d05-016","split":"train","variant":"clean"},"record_seed":448161904834985513,"render_sha256":"e96de6af0623debff17d31a4b5d01e5908ba719859eb4e5244484fa3c324b0d9","representation":"linear_trace","semantic_sha256":"e5a6042aa5999c44a8ec29499e5792b0a98ae56794a02fdf03f470b7b1849b78"}
{"char_count":3539,"item_id":"train-d05-017::linear_trace","label":"FALSE","lexical_token_proxy_count":608,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_d28b3bfd7bc0 node_type=claim\nt=0001 CREATE_NODE id=n_f10dab4cb4a3 node_type=claim\nt=0002 CREATE_NODE id=n_23018d1af8c9 node_type=claim\nt=0003 CREATE_NODE id=n_03c7e6c214ec node_type=claim\nt=0004 CREATE_NODE id=n_cfa44f2a6ce1 node_type=claim\nt=0005 CREATE_NODE id=n_0a38b3f1a43d node_type=claim\nt=0006 CREATE_NODE id=n_3a5fe4c0b18d node_type=claim\nt=0007 CREATE_NODE id=n_fa234e886dab node_type=claim\nt=0008 CREATE_NODE id=n_e9575468dbb0 node_type=claim\nt=0009 CREATE_NODE id=n_60b3950679b8 node_type=claim\nt=0010 CREATE_NODE id=n_e73609a1f6c4 node_type=claim\nt=0011 CREATE_NODE id=n_fabd4dfc4842 node_type=claim\nt=0012 CREATE_NODE id=n_3f6ec41a8efa node_type=claim\nt=0013 CREATE_NODE id=n_c8c0ceb37ded node_type=claim\nt=0014 CREATE_NODE id=n_74371285899f node_type=claim\nt=0015 CREATE_NODE id=n_8de41b0503d4 node_type=claim\nt=0016 CREATE_NODE id=n_86a3ace82c44 node_type=claim\nt=0017 CREATE_NODE id=n_8aef4c4115a2 node_type=claim\nt=0018 CREATE_NODE id=n_38a6f3cc03e8 node_type=claim\nt=0019 CREATE_NODE id=n_3be0f55c0636 node_type=claim\nt=0020 ASSERT_ROOT node=n_3be0f55c0636 value=TRUE\nt=0021 ADD_EDGE edge_id=e_49f9a00df117 source=n_cfa44f2a6ce1 edge_type=refutes target=n_fabd4dfc4842\nt=0022 ADD_EDGE edge_id=e_2e6c7d832edb source=n_e9575468dbb0 edge_type=supports target=n_fa234e886dab\nt=0023 ADD_EDGE edge_id=e_000a67f715cd source=n_74371285899f edge_type=supports target=n_e9575468dbb0\nt=0024 ADD_EDGE edge_id=e_365c18490515 source=n_c8c0ceb37ded edge_type=refutes target=n_03c7e6c214ec\nt=0025 ADD_EDGE edge_id=e_69aabbfeb63b source=n_60b3950679b8 edge_type=supports target=n_0a38b3f1a43d\nt=0026 ADD_EDGE edge_id=e_871f12f95959 source=n_fa234e886dab edge_type=supports target=n_d28b3bfd7bc0\nt=0027 ADD_EDGE edge_id=e_e04669453f7e source=n_c8c0ceb37ded edge_type=supports target=n_3a5fe4c0b18d\nt=0028 ADD_EDGE edge_id=e_6e570f658ead source=n_74371285899f edge_type=refutes target=n_cfa44f2a6ce1\nt=0029 ADD_EDGE edge_id=e_a69d64007b9e source=n_60b3950679b8 edge_type=refutes target=n_3f6ec41a8efa\nt=0030 ADD_EDGE edge_id=e_6dc55fab58a2 source=n_cfa44f2a6ce1 edge_type=supports target=n_8de41b0503d4\nt=0031 ADD_EDGE edge_id=e_bb24d73919fb source=n_3f6ec41a8efa edge_type=refutes target=n_8aef4c4115a2\nt=0032 ADD_EDGE edge_id=e_0a9b1d7b211d source=n_fa234e886dab edge_type=supports target=n_86a3ace82c44\nt=0033 ADD_EDGE edge_id=e_74034ce76134 source=n_c8c0ceb37ded edge_type=refutes target=n_e73609a1f6c4\nt=0034 ADD_EDGE edge_id=e_eb687c7a5910 source=n_3be0f55c0636 edge_type=supports target=n_38a6f3cc03e8\nt=0035 ADD_EDGE edge_id=e_ae1eac78bae6 source=n_cfa44f2a6ce1 edge_type=refutes target=n_f10dab4cb4a3\nt=0036 ADD_EDGE edge_id=e_14902ac0ac86 source=n_74371285899f edge_type=refutes target=n_23018d1af8c9\nt=0037 ADD_EDGE edge_id=e_12a1ba1268d1 source=n_8aef4c4115a2 edge_type=supports target=n_c8c0ceb37ded\nt=0038 ADD_EDGE edge_id=e_7d70c666fd7f source=n_3be0f55c0636 edge_type=refutes target=n_60b3950679b8\nt=0039 QUERY source=n_3be0f55c0636 target=n_3a5fe4c0b18d\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1886,"provenance":{"base_record_id":"train-d05-017","dataset":"livegraph-deterministic-parity-v3","depth":5,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d05-017","split":"train","variant":"clean"},"record_seed":226163217789339016,"render_sha256":"f3448a557c8659ac39b1ff18ea572c08fb3089ae07dfa7365f20ef2dbd7ed172","representation":"linear_trace","semantic_sha256":"d90f507ed0d620996d9a2dab71c0048690fdc4c9c21a29addbf1c228f7cd18aa"}
{"char_count":3540,"item_id":"train-d05-018::linear_trace","label":"TRUE","lexical_token_proxy_count":608,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_cc76176c44f7 node_type=claim\nt=0001 CREATE_NODE id=n_c988fc81ac50 node_type=claim\nt=0002 CREATE_NODE id=n_c37447a301d9 node_type=claim\nt=0003 CREATE_NODE id=n_31bc04a1925c node_type=claim\nt=0004 CREATE_NODE id=n_c303c9fcb41d node_type=claim\nt=0005 CREATE_NODE id=n_106a5381df84 node_type=claim\nt=0006 CREATE_NODE id=n_7e8d073c6bbd node_type=claim\nt=0007 CREATE_NODE id=n_c092d2c8a0a1 node_type=claim\nt=0008 CREATE_NODE id=n_87c40418d589 node_type=claim\nt=0009 CREATE_NODE id=n_24ebb28e476d node_type=claim\nt=0010 CREATE_NODE id=n_e7b64c2b53a5 node_type=claim\nt=0011 CREATE_NODE id=n_3d3dbc57b9c9 node_type=claim\nt=0012 CREATE_NODE id=n_88e27c8c3a31 node_type=claim\nt=0013 CREATE_NODE id=n_2f686453b461 node_type=claim\nt=0014 CREATE_NODE id=n_6490ef0d532a node_type=claim\nt=0015 CREATE_NODE id=n_0e5fc672240d node_type=claim\nt=0016 CREATE_NODE id=n_8f27b0ee0796 node_type=claim\nt=0017 CREATE_NODE id=n_5d31874e6953 node_type=claim\nt=0018 CREATE_NODE id=n_fecde9e90156 node_type=claim\nt=0019 CREATE_NODE id=n_fe68f1a46439 node_type=claim\nt=0020 ASSERT_ROOT node=n_8f27b0ee0796 value=FALSE\nt=0021 ADD_EDGE edge_id=e_2f2bbe1ad871 source=n_3d3dbc57b9c9 edge_type=refutes target=n_88e27c8c3a31\nt=0022 ADD_EDGE edge_id=e_58f0907b4a83 source=n_88e27c8c3a31 edge_type=supports target=n_fecde9e90156\nt=0023 ADD_EDGE edge_id=e_c597e30a63dc source=n_2f686453b461 edge_type=refutes target=n_c37447a301d9\nt=0024 ADD_EDGE edge_id=e_8ee681d0eaa7 source=n_6490ef0d532a edge_type=refutes target=n_e7b64c2b53a5\nt=0025 ADD_EDGE edge_id=e_079b671532e6 source=n_8f27b0ee0796 edge_type=refutes target=n_5d31874e6953\nt=0026 ADD_EDGE edge_id=e_828ab708ec44 source=n_5d31874e6953 edge_type=supports target=n_fe68f1a46439\nt=0027 ADD_EDGE edge_id=e_07d9e33b396d source=n_8f27b0ee0796 edge_type=supports target=n_31bc04a1925c\nt=0028 ADD_EDGE edge_id=e_947872963798 source=n_fe68f1a46439 edge_type=supports target=n_6490ef0d532a\nt=0029 ADD_EDGE edge_id=e_e2e47886971d source=n_8f27b0ee0796 edge_type=refutes target=n_7e8d073c6bbd\nt=0030 ADD_EDGE edge_id=e_5eb992b0eda9 source=n_c092d2c8a0a1 edge_type=supports target=n_3d3dbc57b9c9\nt=0031 ADD_EDGE edge_id=e_03846674b2b1 source=n_8f27b0ee0796 edge_type=refutes target=n_106a5381df84\nt=0032 ADD_EDGE edge_id=e_5094d272e898 source=n_e7b64c2b53a5 edge_type=supports target=n_24ebb28e476d\nt=0033 ADD_EDGE edge_id=e_0acc6cb71fd6 source=n_fecde9e90156 edge_type=supports target=n_87c40418d589\nt=0034 ADD_EDGE edge_id=e_db493e676ae1 source=n_e7b64c2b53a5 edge_type=refutes target=n_c303c9fcb41d\nt=0035 ADD_EDGE edge_id=e_4557028cd847 source=n_2f686453b461 edge_type=refutes target=n_0e5fc672240d\nt=0036 ADD_EDGE edge_id=e_55e844abc7db source=n_c37447a301d9 edge_type=supports target=n_c988fc81ac50\nt=0037 ADD_EDGE edge_id=e_933da2430ee7 source=n_c092d2c8a0a1 edge_type=refutes target=n_2f686453b461\nt=0038 ADD_EDGE edge_id=e_11013b52e0c3 source=n_c092d2c8a0a1 edge_type=supports target=n_cc76176c44f7\nt=0039 QUERY source=n_8f27b0ee0796 target=n_c303c9fcb41d\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1929,"provenance":{"base_record_id":"train-d05-018","dataset":"livegraph-deterministic-parity-v3","depth":5,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d05-018","split":"train","variant":"clean"},"record_seed":569933223901162010,"render_sha256":"b02525d17dcf3d180f5a1d81cba7941e60d7f0c9023257e37639d083404e5e87","representation":"linear_trace","semantic_sha256":"12a68d7d4757f801e985e2203a898d1992e87a4fb2592a9631b81b6320e1ccf0"}
{"char_count":3540,"item_id":"train-d05-019::linear_trace","label":"FALSE","lexical_token_proxy_count":608,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_26636c76cdbf node_type=claim\nt=0001 CREATE_NODE id=n_8d75b7f1b97e node_type=claim\nt=0002 CREATE_NODE id=n_0bbac525dc76 node_type=claim\nt=0003 CREATE_NODE id=n_2a30bb912a7b node_type=claim\nt=0004 CREATE_NODE id=n_9600e3f61105 node_type=claim\nt=0005 CREATE_NODE id=n_f7af8d10a439 node_type=claim\nt=0006 CREATE_NODE id=n_5f46f39beebe node_type=claim\nt=0007 CREATE_NODE id=n_dd1c4dee9f86 node_type=claim\nt=0008 CREATE_NODE id=n_bdc3feca89e9 node_type=claim\nt=0009 CREATE_NODE id=n_4cc5e6bb80c9 node_type=claim\nt=0010 CREATE_NODE id=n_6301c915d9e8 node_type=claim\nt=0011 CREATE_NODE id=n_63878b98352b node_type=claim\nt=0012 CREATE_NODE id=n_7e0c7609e1df node_type=claim\nt=0013 CREATE_NODE id=n_9df616e59d4a node_type=claim\nt=0014 CREATE_NODE id=n_6baa452ed682 node_type=claim\nt=0015 CREATE_NODE id=n_c7cbcdc67c1b node_type=claim\nt=0016 CREATE_NODE id=n_436b2f4d849f node_type=claim\nt=0017 CREATE_NODE id=n_7d628e77416f node_type=claim\nt=0018 CREATE_NODE id=n_d441c4e5f3d8 node_type=claim\nt=0019 CREATE_NODE id=n_fe347f2c5166 node_type=claim\nt=0020 ASSERT_ROOT node=n_bdc3feca89e9 value=FALSE\nt=0021 ADD_EDGE edge_id=e_f2a89bfe1c1b source=n_7d628e77416f edge_type=refutes target=n_0bbac525dc76\nt=0022 ADD_EDGE edge_id=e_accae1fd111a source=n_7e0c7609e1df edge_type=refutes target=n_9df616e59d4a\nt=0023 ADD_EDGE edge_id=e_87bce7b59fd0 source=n_fe347f2c5166 edge_type=supports target=n_4cc5e6bb80c9\nt=0024 ADD_EDGE edge_id=e_237737d7f5ba source=n_63878b98352b edge_type=supports target=n_9600e3f61105\nt=0025 ADD_EDGE edge_id=e_6e153fb01d50 source=n_8d75b7f1b97e edge_type=supports target=n_c7cbcdc67c1b\nt=0026 ADD_EDGE edge_id=e_b5fd67fc31a0 source=n_63878b98352b edge_type=supports target=n_7d628e77416f\nt=0027 ADD_EDGE edge_id=e_a719cf737ef1 source=n_7d628e77416f edge_type=supports target=n_f7af8d10a439\nt=0028 ADD_EDGE edge_id=e_78d4aea72c91 source=n_436b2f4d849f edge_type=refutes target=n_7e0c7609e1df\nt=0029 ADD_EDGE edge_id=e_92a4cf269664 source=n_4cc5e6bb80c9 edge_type=refutes target=n_5f46f39beebe\nt=0030 ADD_EDGE edge_id=e_6c521723d10b source=n_7d628e77416f edge_type=supports target=n_6baa452ed682\nt=0031 ADD_EDGE edge_id=e_a64001583091 source=n_7d628e77416f edge_type=refutes target=n_8d75b7f1b97e\nt=0032 ADD_EDGE edge_id=e_e027e9e4c0a6 source=n_9df616e59d4a edge_type=supports target=n_dd1c4dee9f86\nt=0033 ADD_EDGE edge_id=e_dd369703bfa7 source=n_4cc5e6bb80c9 edge_type=refutes target=n_d441c4e5f3d8\nt=0034 ADD_EDGE edge_id=e_27dbcce244d6 source=n_f7af8d10a439 edge_type=supports target=n_26636c76cdbf\nt=0035 ADD_EDGE edge_id=e_f7659c8bad3f source=n_4cc5e6bb80c9 edge_type=refutes target=n_436b2f4d849f\nt=0036 ADD_EDGE edge_id=e_e843e16fa604 source=n_f7af8d10a439 edge_type=supports target=n_6301c915d9e8\nt=0037 ADD_EDGE edge_id=e_fdbb434432f8 source=n_7e0c7609e1df edge_type=refutes target=n_2a30bb912a7b\nt=0038 ADD_EDGE edge_id=e_76b2ee75f887 source=n_bdc3feca89e9 edge_type=refutes target=n_fe347f2c5166\nt=0039 QUERY source=n_bdc3feca89e9 target=n_9df616e59d4a\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1900,"provenance":{"base_record_id":"train-d05-019","dataset":"livegraph-deterministic-parity-v3","depth":5,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d05-019","split":"train","variant":"clean"},"record_seed":166453817588718099,"render_sha256":"0e720d90b7dd04bbdff6180a3038c47766afb42c4e8ebc960507dc7e1b071a69","representation":"linear_trace","semantic_sha256":"5f1bf02efd9aa2c3e2a7ed1ea644ca59db06c6f000e290f5921d791aa2249d94"}
{"char_count":3539,"item_id":"train-d05-020::linear_trace","label":"TRUE","lexical_token_proxy_count":608,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_4d08e8b8de6f node_type=claim\nt=0001 CREATE_NODE id=n_f80496c930eb node_type=claim\nt=0002 CREATE_NODE id=n_b6a78f9dbfb8 node_type=claim\nt=0003 CREATE_NODE id=n_4e17f04a916c node_type=claim\nt=0004 CREATE_NODE id=n_124291b4ca7d node_type=claim\nt=0005 CREATE_NODE id=n_3915dec7491b node_type=claim\nt=0006 CREATE_NODE id=n_66fcfdbd0404 node_type=claim\nt=0007 CREATE_NODE id=n_4cc2964281e2 node_type=claim\nt=0008 CREATE_NODE id=n_c4e88d3364af node_type=claim\nt=0009 CREATE_NODE id=n_8dbc5d48b730 node_type=claim\nt=0010 CREATE_NODE id=n_b992ec343667 node_type=claim\nt=0011 CREATE_NODE id=n_ae293795ca27 node_type=claim\nt=0012 CREATE_NODE id=n_521dc4bbae1b node_type=claim\nt=0013 CREATE_NODE id=n_76ed0ecdad4c node_type=claim\nt=0014 CREATE_NODE id=n_6e6eb3c1ce1a node_type=claim\nt=0015 CREATE_NODE id=n_dad3e54e8e97 node_type=claim\nt=0016 CREATE_NODE id=n_51ced14d4344 node_type=claim\nt=0017 CREATE_NODE id=n_1f1602f314d9 node_type=claim\nt=0018 CREATE_NODE id=n_e67154cd43fe node_type=claim\nt=0019 CREATE_NODE id=n_e3d8b45c168a node_type=claim\nt=0020 ASSERT_ROOT node=n_51ced14d4344 value=TRUE\nt=0021 ADD_EDGE edge_id=e_d39ac9caccee source=n_8dbc5d48b730 edge_type=refutes target=n_b992ec343667\nt=0022 ADD_EDGE edge_id=e_83fbe7b11111 source=n_4e17f04a916c edge_type=supports target=n_e3d8b45c168a\nt=0023 ADD_EDGE edge_id=e_08a7a582412e source=n_8dbc5d48b730 edge_type=supports target=n_f80496c930eb\nt=0024 ADD_EDGE edge_id=e_834164e9d577 source=n_51ced14d4344 edge_type=supports target=n_4e17f04a916c\nt=0025 ADD_EDGE edge_id=e_ae5f27e9d503 source=n_e3d8b45c168a edge_type=refutes target=n_1f1602f314d9\nt=0026 ADD_EDGE edge_id=e_e9fc0ddd1737 source=n_f80496c930eb edge_type=refutes target=n_76ed0ecdad4c\nt=0027 ADD_EDGE edge_id=e_f5bbc79e64fa source=n_76ed0ecdad4c edge_type=supports target=n_6e6eb3c1ce1a\nt=0028 ADD_EDGE edge_id=e_466c962d5a79 source=n_e3d8b45c168a edge_type=supports target=n_b6a78f9dbfb8\nt=0029 ADD_EDGE edge_id=e_5d4eb812a5a1 source=n_3915dec7491b edge_type=supports target=n_66fcfdbd0404\nt=0030 ADD_EDGE edge_id=e_eac490de649a source=n_b6a78f9dbfb8 edge_type=refutes target=n_ae293795ca27\nt=0031 ADD_EDGE edge_id=e_aa8e6e176138 source=n_b6a78f9dbfb8 edge_type=refutes target=n_e67154cd43fe\nt=0032 ADD_EDGE edge_id=e_c7074304aef2 source=n_4cc2964281e2 edge_type=refutes target=n_3915dec7491b\nt=0033 ADD_EDGE edge_id=e_d09b184693f9 source=n_8dbc5d48b730 edge_type=supports target=n_521dc4bbae1b\nt=0034 ADD_EDGE edge_id=e_cdbb24038470 source=n_4e17f04a916c edge_type=refutes target=n_4d08e8b8de6f\nt=0035 ADD_EDGE edge_id=e_3e2f8bb73c7e source=n_51ced14d4344 edge_type=supports target=n_dad3e54e8e97\nt=0036 ADD_EDGE edge_id=e_9e6285049bd9 source=n_8dbc5d48b730 edge_type=supports target=n_4cc2964281e2\nt=0037 ADD_EDGE edge_id=e_a274fb370241 source=n_ae293795ca27 edge_type=refutes target=n_c4e88d3364af\nt=0038 ADD_EDGE edge_id=e_8ca19bd1f844 source=n_f80496c930eb edge_type=refutes target=n_124291b4ca7d\nt=0039 QUERY source=n_51ced14d4344 target=n_c4e88d3364af\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1884,"provenance":{"base_record_id":"train-d05-020","dataset":"livegraph-deterministic-parity-v3","depth":5,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d05-020","split":"train","variant":"clean"},"record_seed":471137677280153644,"render_sha256":"b5ddcb3a3b06e138adc5e9ecf00e1522432d58850d1583fa09d92ebe7c22fce3","representation":"linear_trace","semantic_sha256":"b18f2c15646240dc23d945653e23ffc1be0c2effa506fe4157b85bd39e1ed62a"}
{"char_count":3539,"item_id":"train-d05-021::linear_trace","label":"FALSE","lexical_token_proxy_count":608,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_412463cc559a node_type=claim\nt=0001 CREATE_NODE id=n_5e4b571e05c6 node_type=claim\nt=0002 CREATE_NODE id=n_34c38eb26200 node_type=claim\nt=0003 CREATE_NODE id=n_89b025f9817c node_type=claim\nt=0004 CREATE_NODE id=n_d4f5fc70068f node_type=claim\nt=0005 CREATE_NODE id=n_072a8fbc1ab1 node_type=claim\nt=0006 CREATE_NODE id=n_7d4f44a54ae0 node_type=claim\nt=0007 CREATE_NODE id=n_78d7ca3fd836 node_type=claim\nt=0008 CREATE_NODE id=n_5353bf60d1a0 node_type=claim\nt=0009 CREATE_NODE id=n_71478a5913bf node_type=claim\nt=0010 CREATE_NODE id=n_85bf0a7e4c41 node_type=claim\nt=0011 CREATE_NODE id=n_041ac939b418 node_type=claim\nt=0012 CREATE_NODE id=n_ccc1491ec613 node_type=claim\nt=0013 CREATE_NODE id=n_029404b8a887 node_type=claim\nt=0014 CREATE_NODE id=n_e0e062af9304 node_type=claim\nt=0015 CREATE_NODE id=n_b436579ffd5a node_type=claim\nt=0016 CREATE_NODE id=n_061e64fc4377 node_type=claim\nt=0017 CREATE_NODE id=n_4d3f518e75b1 node_type=claim\nt=0018 CREATE_NODE id=n_51a7d77de693 node_type=claim\nt=0019 CREATE_NODE id=n_10b4aff78c12 node_type=claim\nt=0020 ASSERT_ROOT node=n_5353bf60d1a0 value=TRUE\nt=0021 ADD_EDGE edge_id=e_c3b358288393 source=n_85bf0a7e4c41 edge_type=supports target=n_b436579ffd5a\nt=0022 ADD_EDGE edge_id=e_a61e1110aec8 source=n_029404b8a887 edge_type=refutes target=n_041ac939b418\nt=0023 ADD_EDGE edge_id=e_5f6aaa913cd8 source=n_85bf0a7e4c41 edge_type=refutes target=n_51a7d77de693\nt=0024 ADD_EDGE edge_id=e_1081d0935e06 source=n_041ac939b418 edge_type=supports target=n_89b025f9817c\nt=0025 ADD_EDGE edge_id=e_3f00169e576e source=n_85bf0a7e4c41 edge_type=supports target=n_4d3f518e75b1\nt=0026 ADD_EDGE edge_id=e_83b5c7ca9d0d source=n_041ac939b418 edge_type=refutes target=n_34c38eb26200\nt=0027 ADD_EDGE edge_id=e_00e2ae916ca5 source=n_041ac939b418 edge_type=refutes target=n_7d4f44a54ae0\nt=0028 ADD_EDGE edge_id=e_5af305567007 source=n_85bf0a7e4c41 edge_type=refutes target=n_71478a5913bf\nt=0029 ADD_EDGE edge_id=e_4dd255fe5d37 source=n_51a7d77de693 edge_type=supports target=n_5e4b571e05c6\nt=0030 ADD_EDGE edge_id=e_004efcce3a7a source=n_34c38eb26200 edge_type=supports target=n_10b4aff78c12\nt=0031 ADD_EDGE edge_id=e_7ae5bb16b9de source=n_78d7ca3fd836 edge_type=refutes target=n_e0e062af9304\nt=0032 ADD_EDGE edge_id=e_27ea10f94fb0 source=n_51a7d77de693 edge_type=supports target=n_412463cc559a\nt=0033 ADD_EDGE edge_id=e_f86a3a8599fc source=n_b436579ffd5a edge_type=refutes target=n_072a8fbc1ab1\nt=0034 ADD_EDGE edge_id=e_e3135236b721 source=n_5e4b571e05c6 edge_type=supports target=n_ccc1491ec613\nt=0035 ADD_EDGE edge_id=e_1423110c8032 source=n_10b4aff78c12 edge_type=refutes target=n_78d7ca3fd836\nt=0036 ADD_EDGE edge_id=e_ca909f86ede3 source=n_041ac939b418 edge_type=refutes target=n_d4f5fc70068f\nt=0037 ADD_EDGE edge_id=e_162e1231d379 source=n_5353bf60d1a0 edge_type=supports target=n_029404b8a887\nt=0038 ADD_EDGE edge_id=e_da08eb672b75 source=n_51a7d77de693 edge_type=supports target=n_061e64fc4377\nt=0039 QUERY source=n_5353bf60d1a0 target=n_78d7ca3fd836\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1910,"provenance":{"base_record_id":"train-d05-021","dataset":"livegraph-deterministic-parity-v3","depth":5,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d05-021","split":"train","variant":"clean"},"record_seed":122145239392524719,"render_sha256":"c358a20a06d257294bfc2000058342e9ff81c8cd339e0d4ac463875e1b0e1d82","representation":"linear_trace","semantic_sha256":"b2037830a0a64488d2fe15bd3da80b4fa7f909bc6955b1bb21d24d9fce2358c5"}
{"char_count":3540,"item_id":"train-d05-022::linear_trace","label":"TRUE","lexical_token_proxy_count":608,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_dcb337618870 node_type=claim\nt=0001 CREATE_NODE id=n_e6ee18149c1f node_type=claim\nt=0002 CREATE_NODE id=n_8955a535bb01 node_type=claim\nt=0003 CREATE_NODE id=n_486832948a5e node_type=claim\nt=0004 CREATE_NODE id=n_0b3600d96319 node_type=claim\nt=0005 CREATE_NODE id=n_96e2fdce9c21 node_type=claim\nt=0006 CREATE_NODE id=n_c9b9c9c838ca node_type=claim\nt=0007 CREATE_NODE id=n_234ecfe6b8c4 node_type=claim\nt=0008 CREATE_NODE id=n_4dbacad76a0d node_type=claim\nt=0009 CREATE_NODE id=n_54f1e629a8fe node_type=claim\nt=0010 CREATE_NODE id=n_5d9b6dd9ab61 node_type=claim\nt=0011 CREATE_NODE id=n_a12db1e70dcf node_type=claim\nt=0012 CREATE_NODE id=n_43c914f045c7 node_type=claim\nt=0013 CREATE_NODE id=n_47c44f2da85d node_type=claim\nt=0014 CREATE_NODE id=n_bc54c6afb489 node_type=claim\nt=0015 CREATE_NODE id=n_5263af4448bc node_type=claim\nt=0016 CREATE_NODE id=n_fb44199c4cc8 node_type=claim\nt=0017 CREATE_NODE id=n_3841303ff0f6 node_type=claim\nt=0018 CREATE_NODE id=n_8332085a8006 node_type=claim\nt=0019 CREATE_NODE id=n_0801441bcca0 node_type=claim\nt=0020 ASSERT_ROOT node=n_234ecfe6b8c4 value=FALSE\nt=0021 ADD_EDGE edge_id=e_8d2e503c0ada source=n_0b3600d96319 edge_type=refutes target=n_bc54c6afb489\nt=0022 ADD_EDGE edge_id=e_c7aaa80dbdc6 source=n_54f1e629a8fe edge_type=refutes target=n_43c914f045c7\nt=0023 ADD_EDGE edge_id=e_4aaa0cadb145 source=n_e6ee18149c1f edge_type=supports target=n_47c44f2da85d\nt=0024 ADD_EDGE edge_id=e_793260e2246b source=n_fb44199c4cc8 edge_type=refutes target=n_a12db1e70dcf\nt=0025 ADD_EDGE edge_id=e_c9d901e18891 source=n_234ecfe6b8c4 edge_type=supports target=n_96e2fdce9c21\nt=0026 ADD_EDGE edge_id=e_e4d28e066bd4 source=n_dcb337618870 edge_type=supports target=n_0b3600d96319\nt=0027 ADD_EDGE edge_id=e_a46cc57a76ec source=n_47c44f2da85d edge_type=refutes target=n_486832948a5e\nt=0028 ADD_EDGE edge_id=e_a3b48a361853 source=n_4dbacad76a0d edge_type=supports target=n_8955a535bb01\nt=0029 ADD_EDGE edge_id=e_394fe822fc32 source=n_8332085a8006 edge_type=refutes target=n_3841303ff0f6\nt=0030 ADD_EDGE edge_id=e_d820aed2ef35 source=n_234ecfe6b8c4 edge_type=supports target=n_4dbacad76a0d\nt=0031 ADD_EDGE edge_id=e_bda3415360c9 source=n_a12db1e70dcf edge_type=supports target=n_54f1e629a8fe\nt=0032 ADD_EDGE edge_id=e_9bf626d09d44 source=n_54f1e629a8fe edge_type=refutes target=n_5263af4448bc\nt=0033 ADD_EDGE edge_id=e_74d4fe87363d source=n_0b3600d96319 edge_type=refutes target=n_c9b9c9c838ca\nt=0034 ADD_EDGE edge_id=e_420d9169333d source=n_0b3600d96319 edge_type=supports target=n_0801441bcca0\nt=0035 ADD_EDGE edge_id=e_39ad565a458c source=n_8332085a8006 edge_type=refutes target=n_dcb337618870\nt=0036 ADD_EDGE edge_id=e_47f704126138 source=n_4dbacad76a0d edge_type=refutes target=n_fb44199c4cc8\nt=0037 ADD_EDGE edge_id=e_048afe799aa2 source=n_4dbacad76a0d edge_type=supports target=n_5d9b6dd9ab61\nt=0038 ADD_EDGE edge_id=e_8744cc97af00 source=n_c9b9c9c838ca edge_type=supports target=n_e6ee18149c1f\nt=0039 QUERY source=n_234ecfe6b8c4 target=n_43c914f045c7\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1891,"provenance":{"base_record_id":"train-d05-022","dataset":"livegraph-deterministic-parity-v3","depth":5,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d05-022","split":"train","variant":"clean"},"record_seed":205738743695926350,"render_sha256":"c845473e33c5c7efb16f8b19418d45f26e944903465cdb2000c15d42459f6128","representation":"linear_trace","semantic_sha256":"e1a6dab5f02d3a33cb58b6e92c9805f99f415bea8862fe1e9e9916287a2d5aa9"}
{"char_count":3540,"item_id":"train-d05-023::linear_trace","label":"FALSE","lexical_token_proxy_count":608,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_a8dc5e44f3df node_type=claim\nt=0001 CREATE_NODE id=n_7663664bb49f node_type=claim\nt=0002 CREATE_NODE id=n_c4710bbef7f5 node_type=claim\nt=0003 CREATE_NODE id=n_789c05723dae node_type=claim\nt=0004 CREATE_NODE id=n_dd38f1b69cae node_type=claim\nt=0005 CREATE_NODE id=n_e7d935ca4c63 node_type=claim\nt=0006 CREATE_NODE id=n_661b1d5e6e56 node_type=claim\nt=0007 CREATE_NODE id=n_58bd7795c514 node_type=claim\nt=0008 CREATE_NODE id=n_3cabce965fbb node_type=claim\nt=0009 CREATE_NODE id=n_e93ed2f8742d node_type=claim\nt=0010 CREATE_NODE id=n_75f109e14168 node_type=claim\nt=0011 CREATE_NODE id=n_4b26e9f7d4f8 node_type=claim\nt=0012 CREATE_NODE id=n_69c8101904f3 node_type=claim\nt=0013 CREATE_NODE id=n_141fac01cf09 node_type=claim\nt=0014 CREATE_NODE id=n_e69ef05686e1 node_type=claim\nt=0015 CREATE_NODE id=n_c528994485db node_type=claim\nt=0016 CREATE_NODE id=n_5d12369eb5e3 node_type=claim\nt=0017 CREATE_NODE id=n_0ee812e9c4f2 node_type=claim\nt=0018 CREATE_NODE id=n_d24bc7cdbd59 node_type=claim\nt=0019 CREATE_NODE id=n_20cb2d0e5cc3 node_type=claim\nt=0020 ASSERT_ROOT node=n_e93ed2f8742d value=FALSE\nt=0021 ADD_EDGE edge_id=e_5992b0157e53 source=n_dd38f1b69cae edge_type=refutes target=n_e7d935ca4c63\nt=0022 ADD_EDGE edge_id=e_4d009e823bba source=n_e93ed2f8742d edge_type=refutes target=n_7663664bb49f\nt=0023 ADD_EDGE edge_id=e_5fdd4f6d6faa source=n_58bd7795c514 edge_type=refutes target=n_a8dc5e44f3df\nt=0024 ADD_EDGE edge_id=e_03f3d8961ca4 source=n_661b1d5e6e56 edge_type=refutes target=n_d24bc7cdbd59\nt=0025 ADD_EDGE edge_id=e_46625ee8a212 source=n_e93ed2f8742d edge_type=supports target=n_0ee812e9c4f2\nt=0026 ADD_EDGE edge_id=e_d942d21c7449 source=n_c4710bbef7f5 edge_type=supports target=n_20cb2d0e5cc3\nt=0027 ADD_EDGE edge_id=e_82659676e0d5 source=n_75f109e14168 edge_type=refutes target=n_e69ef05686e1\nt=0028 ADD_EDGE edge_id=e_d14bc17d559d source=n_e93ed2f8742d edge_type=supports target=n_69c8101904f3\nt=0029 ADD_EDGE edge_id=e_a858755770d5 source=n_661b1d5e6e56 edge_type=refutes target=n_75f109e14168\nt=0030 ADD_EDGE edge_id=e_025e648f2521 source=n_e93ed2f8742d edge_type=refutes target=n_4b26e9f7d4f8\nt=0031 ADD_EDGE edge_id=e_1141be465347 source=n_58bd7795c514 edge_type=supports target=n_789c05723dae\nt=0032 ADD_EDGE edge_id=e_016f65c96fce source=n_661b1d5e6e56 edge_type=refutes target=n_c528994485db\nt=0033 ADD_EDGE edge_id=e_5241aa95f532 source=n_dd38f1b69cae edge_type=supports target=n_5d12369eb5e3\nt=0034 ADD_EDGE edge_id=e_f8663d06b7fd source=n_69c8101904f3 edge_type=supports target=n_141fac01cf09\nt=0035 ADD_EDGE edge_id=e_cfac768780c4 source=n_661b1d5e6e56 edge_type=supports target=n_c4710bbef7f5\nt=0036 ADD_EDGE edge_id=e_f3cf79b3c8c1 source=n_a8dc5e44f3df edge_type=refutes target=n_3cabce965fbb\nt=0037 ADD_EDGE edge_id=e_8181e24ba61e source=n_d24bc7cdbd59 edge_type=supports target=n_dd38f1b69cae\nt=0038 ADD_EDGE edge_id=e_fd6e0017666d source=n_141fac01cf09 edge_type=supports target=n_58bd7795c514\nt=0039 QUERY source=n_e93ed2f8742d target=n_3cabce965fbb\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1904,"provenance":{"base_record_id":"train-d05-023","dataset":"livegraph-deterministic-parity-v3","depth":5,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d05-023","split":"train","variant":"clean"},"record_seed":392336399643195360,"render_sha256":"8201b04aa2d3df2e446a59cb180fe13eeba9527cc940bc6e2f1d6edf16fd434c","representation":"linear_trace","semantic_sha256":"bc03112835b427ab7df39b6764fa78bf3a4c25a4a8fbb978441b35c2c4fd7dad"}
{"char_count":3539,"item_id":"train-d05-024::linear_trace","label":"TRUE","lexical_token_proxy_count":608,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_a5368dc5b3e2 node_type=claim\nt=0001 CREATE_NODE id=n_2ef7e5bfae28 node_type=claim\nt=0002 CREATE_NODE id=n_95f213a3da4b node_type=claim\nt=0003 CREATE_NODE id=n_9ec1cf0b6736 node_type=claim\nt=0004 CREATE_NODE id=n_2786a71b91e2 node_type=claim\nt=0005 CREATE_NODE id=n_72fe9a197f1b node_type=claim\nt=0006 CREATE_NODE id=n_62a5080e02eb node_type=claim\nt=0007 CREATE_NODE id=n_138274354df6 node_type=claim\nt=0008 CREATE_NODE id=n_b4c06651f1a5 node_type=claim\nt=0009 CREATE_NODE id=n_a19b8c6590fe node_type=claim\nt=0010 CREATE_NODE id=n_cb26319e3d6b node_type=claim\nt=0011 CREATE_NODE id=n_1931a2b6bf27 node_type=claim\nt=0012 CREATE_NODE id=n_accc4cadc5f1 node_type=claim\nt=0013 CREATE_NODE id=n_7d5ff0a4d3c4 node_type=claim\nt=0014 CREATE_NODE id=n_8a0ff3c0fb5c node_type=claim\nt=0015 CREATE_NODE id=n_1ec99dd52ee6 node_type=claim\nt=0016 CREATE_NODE id=n_7ac73698f823 node_type=claim\nt=0017 CREATE_NODE id=n_e17feee81600 node_type=claim\nt=0018 CREATE_NODE id=n_d38a5483a6d0 node_type=claim\nt=0019 CREATE_NODE id=n_fd9c1912d608 node_type=claim\nt=0020 ASSERT_ROOT node=n_cb26319e3d6b value=TRUE\nt=0021 ADD_EDGE edge_id=e_4675afe6c3cd source=n_d38a5483a6d0 edge_type=supports target=n_72fe9a197f1b\nt=0022 ADD_EDGE edge_id=e_844e072c0bc1 source=n_accc4cadc5f1 edge_type=supports target=n_2786a71b91e2\nt=0023 ADD_EDGE edge_id=e_a8ddf5aff7a4 source=n_d38a5483a6d0 edge_type=refutes target=n_138274354df6\nt=0024 ADD_EDGE edge_id=e_584b3f3d4c21 source=n_a19b8c6590fe edge_type=supports target=n_7d5ff0a4d3c4\nt=0025 ADD_EDGE edge_id=e_6a927fac4740 source=n_2786a71b91e2 edge_type=refutes target=n_fd9c1912d608\nt=0026 ADD_EDGE edge_id=e_53f4c20c00b4 source=n_b4c06651f1a5 edge_type=supports target=n_d38a5483a6d0\nt=0027 ADD_EDGE edge_id=e_1b61c67403fe source=n_b4c06651f1a5 edge_type=refutes target=n_62a5080e02eb\nt=0028 ADD_EDGE edge_id=e_77a4d454650b source=n_1931a2b6bf27 edge_type=refutes target=n_9ec1cf0b6736\nt=0029 ADD_EDGE edge_id=e_c570d9adf3c2 source=n_95f213a3da4b edge_type=supports target=n_a5368dc5b3e2\nt=0030 ADD_EDGE edge_id=e_56ed7d47d485 source=n_8a0ff3c0fb5c edge_type=refutes target=n_2ef7e5bfae28\nt=0031 ADD_EDGE edge_id=e_bb74b0fa3215 source=n_cb26319e3d6b edge_type=supports target=n_95f213a3da4b\nt=0032 ADD_EDGE edge_id=e_041cb20b222a source=n_95f213a3da4b edge_type=supports target=n_7ac73698f823\nt=0033 ADD_EDGE edge_id=e_3f764691649f source=n_8a0ff3c0fb5c edge_type=refutes target=n_e17feee81600\nt=0034 ADD_EDGE edge_id=e_cc7f5d54d4fb source=n_a19b8c6590fe edge_type=supports target=n_accc4cadc5f1\nt=0035 ADD_EDGE edge_id=e_5fbb98470eef source=n_2786a71b91e2 edge_type=refutes target=n_1ec99dd52ee6\nt=0036 ADD_EDGE edge_id=e_ea221c1493bc source=n_e17feee81600 edge_type=refutes target=n_1931a2b6bf27\nt=0037 ADD_EDGE edge_id=e_1f8eaf0c8fd8 source=n_b4c06651f1a5 edge_type=supports target=n_8a0ff3c0fb5c\nt=0038 ADD_EDGE edge_id=e_ca9c010fc7ea source=n_95f213a3da4b edge_type=refutes target=n_a19b8c6590fe\nt=0039 QUERY source=n_cb26319e3d6b target=n_1ec99dd52ee6\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1899,"provenance":{"base_record_id":"train-d05-024","dataset":"livegraph-deterministic-parity-v3","depth":5,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d05-024","split":"train","variant":"clean"},"record_seed":1092006330079865058,"render_sha256":"da6cb5cba7a09c275f4f201d3130bd0b583629796f232d64d0bc714025d4988a","representation":"linear_trace","semantic_sha256":"abb99ced6a00c01beb9a1e9089deaaaeafd5e16a8f915aafd20c69e3fd6a58ac"}
{"char_count":3539,"item_id":"train-d05-025::linear_trace","label":"FALSE","lexical_token_proxy_count":608,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_5189e3e01ce0 node_type=claim\nt=0001 CREATE_NODE id=n_115aeaaf8f73 node_type=claim\nt=0002 CREATE_NODE id=n_8affb1910c6f node_type=claim\nt=0003 CREATE_NODE id=n_5f08c6b841c8 node_type=claim\nt=0004 CREATE_NODE id=n_22d48393309a node_type=claim\nt=0005 CREATE_NODE id=n_f1e27b4c7fcf node_type=claim\nt=0006 CREATE_NODE id=n_8302625b6535 node_type=claim\nt=0007 CREATE_NODE id=n_d49387b8050e node_type=claim\nt=0008 CREATE_NODE id=n_6713a27ed44a node_type=claim\nt=0009 CREATE_NODE id=n_60c189b5a79a node_type=claim\nt=0010 CREATE_NODE id=n_bf23bbac45e3 node_type=claim\nt=0011 CREATE_NODE id=n_7e4dd13bdb2d node_type=claim\nt=0012 CREATE_NODE id=n_7c502e02dd9e node_type=claim\nt=0013 CREATE_NODE id=n_edb3cd6cedc3 node_type=claim\nt=0014 CREATE_NODE id=n_16e5b7cc0d2c node_type=claim\nt=0015 CREATE_NODE id=n_1fbdbc547cc9 node_type=claim\nt=0016 CREATE_NODE id=n_ade0dc4892f7 node_type=claim\nt=0017 CREATE_NODE id=n_4b5298b9cd58 node_type=claim\nt=0018 CREATE_NODE id=n_e739ecc44bc7 node_type=claim\nt=0019 CREATE_NODE id=n_0f1e4e0f1b96 node_type=claim\nt=0020 ASSERT_ROOT node=n_115aeaaf8f73 value=TRUE\nt=0021 ADD_EDGE edge_id=e_9d7e5b2e11b9 source=n_0f1e4e0f1b96 edge_type=refutes target=n_1fbdbc547cc9\nt=0022 ADD_EDGE edge_id=e_1f420b81f5a0 source=n_ade0dc4892f7 edge_type=supports target=n_5189e3e01ce0\nt=0023 ADD_EDGE edge_id=e_6a1583f97dca source=n_bf23bbac45e3 edge_type=refutes target=n_7c502e02dd9e\nt=0024 ADD_EDGE edge_id=e_bceb1a426a16 source=n_60c189b5a79a edge_type=supports target=n_8affb1910c6f\nt=0025 ADD_EDGE edge_id=e_3817925c9398 source=n_115aeaaf8f73 edge_type=supports target=n_60c189b5a79a\nt=0026 ADD_EDGE edge_id=e_2e245c234b9f source=n_22d48393309a edge_type=supports target=n_6713a27ed44a\nt=0027 ADD_EDGE edge_id=e_f2788cf479a9 source=n_5189e3e01ce0 edge_type=supports target=n_22d48393309a\nt=0028 ADD_EDGE edge_id=e_5a6c15dac3b5 source=n_16e5b7cc0d2c edge_type=refutes target=n_edb3cd6cedc3\nt=0029 ADD_EDGE edge_id=e_1e7a86cba312 source=n_0f1e4e0f1b96 edge_type=refutes target=n_ade0dc4892f7\nt=0030 ADD_EDGE edge_id=e_7ba3fc6d9a2d source=n_bf23bbac45e3 edge_type=supports target=n_e739ecc44bc7\nt=0031 ADD_EDGE edge_id=e_039d77f98221 source=n_7e4dd13bdb2d edge_type=supports target=n_16e5b7cc0d2c\nt=0032 ADD_EDGE edge_id=e_7e9181987e82 source=n_0f1e4e0f1b96 edge_type=supports target=n_4b5298b9cd58\nt=0033 ADD_EDGE edge_id=e_762755973151 source=n_5f08c6b841c8 edge_type=refutes target=n_f1e27b4c7fcf\nt=0034 ADD_EDGE edge_id=e_d388cad449f0 source=n_8affb1910c6f edge_type=supports target=n_bf23bbac45e3\nt=0035 ADD_EDGE edge_id=e_5b1a2d17f7fb source=n_bf23bbac45e3 edge_type=refutes target=n_7e4dd13bdb2d\nt=0036 ADD_EDGE edge_id=e_48eee6623c2d source=n_1fbdbc547cc9 edge_type=refutes target=n_d49387b8050e\nt=0037 ADD_EDGE edge_id=e_ec815ff44500 source=n_bf23bbac45e3 edge_type=refutes target=n_8302625b6535\nt=0038 ADD_EDGE edge_id=e_ecfa766556c8 source=n_0f1e4e0f1b96 edge_type=refutes target=n_5f08c6b841c8\nt=0039 QUERY source=n_115aeaaf8f73 target=n_16e5b7cc0d2c\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1887,"provenance":{"base_record_id":"train-d05-025","dataset":"livegraph-deterministic-parity-v3","depth":5,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d05-025","split":"train","variant":"clean"},"record_seed":306449046143608927,"render_sha256":"0ba6453394745e1d8ef3a28a5716dbb92fe75333b40d7e75d7caf8ccb3679ca5","representation":"linear_trace","semantic_sha256":"2b51532e800e903021498c01250341b5a5002d665abffc9f1de7dc2f5d83ab3f"}
{"char_count":3540,"item_id":"train-d05-026::linear_trace","label":"TRUE","lexical_token_proxy_count":608,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_6a96a1c2f094 node_type=claim\nt=0001 CREATE_NODE id=n_f46d55609f97 node_type=claim\nt=0002 CREATE_NODE id=n_1322c81d1548 node_type=claim\nt=0003 CREATE_NODE id=n_9a34b2f420f1 node_type=claim\nt=0004 CREATE_NODE id=n_acdb93a55212 node_type=claim\nt=0005 CREATE_NODE id=n_69fc53c24337 node_type=claim\nt=0006 CREATE_NODE id=n_af509d62d7ac node_type=claim\nt=0007 CREATE_NODE id=n_f9b9ecdc050f node_type=claim\nt=0008 CREATE_NODE id=n_cc3e95bd716d node_type=claim\nt=0009 CREATE_NODE id=n_1afe1988c388 node_type=claim\nt=0010 CREATE_NODE id=n_3d78973be2c2 node_type=claim\nt=0011 CREATE_NODE id=n_1e12c57a710f node_type=claim\nt=0012 CREATE_NODE id=n_57c3defa59fb node_type=claim\nt=0013 CREATE_NODE id=n_2b3e403c4dd0 node_type=claim\nt=0014 CREATE_NODE id=n_e5cbfae2d53a node_type=claim\nt=0015 CREATE_NODE id=n_88b21c41050c node_type=claim\nt=0016 CREATE_NODE id=n_b0155597f2de node_type=claim\nt=0017 CREATE_NODE id=n_a63836bafc9a node_type=claim\nt=0018 CREATE_NODE id=n_282cd89da860 node_type=claim\nt=0019 CREATE_NODE id=n_d10dbd02ebca node_type=claim\nt=0020 ASSERT_ROOT node=n_f9b9ecdc050f value=FALSE\nt=0021 ADD_EDGE edge_id=e_165eaf600e54 source=n_1e12c57a710f edge_type=refutes target=n_57c3defa59fb\nt=0022 ADD_EDGE edge_id=e_3a2638d0ee36 source=n_f46d55609f97 edge_type=supports target=n_e5cbfae2d53a\nt=0023 ADD_EDGE edge_id=e_f75a350e3e05 source=n_2b3e403c4dd0 edge_type=supports target=n_a63836bafc9a\nt=0024 ADD_EDGE edge_id=e_18c7cbbfa2f5 source=n_e5cbfae2d53a edge_type=supports target=n_69fc53c24337\nt=0025 ADD_EDGE edge_id=e_a8771b91608b source=n_cc3e95bd716d edge_type=supports target=n_282cd89da860\nt=0026 ADD_EDGE edge_id=e_ea157ea42591 source=n_cc3e95bd716d edge_type=refutes target=n_6a96a1c2f094\nt=0027 ADD_EDGE edge_id=e_e54bb5c45899 source=n_1e12c57a710f edge_type=supports target=n_88b21c41050c\nt=0028 ADD_EDGE edge_id=e_0acaf6e94225 source=n_af509d62d7ac edge_type=supports target=n_1afe1988c388\nt=0029 ADD_EDGE edge_id=e_feca65d1d455 source=n_2b3e403c4dd0 edge_type=supports target=n_d10dbd02ebca\nt=0030 ADD_EDGE edge_id=e_2a58309e42ce source=n_69fc53c24337 edge_type=refutes target=n_1322c81d1548\nt=0031 ADD_EDGE edge_id=e_b1242dfa7252 source=n_1afe1988c388 edge_type=refutes target=n_acdb93a55212\nt=0032 ADD_EDGE edge_id=e_665a5ecd38d9 source=n_f9b9ecdc050f edge_type=refutes target=n_1e12c57a710f\nt=0033 ADD_EDGE edge_id=e_4b787595b5ab source=n_6a96a1c2f094 edge_type=supports target=n_9a34b2f420f1\nt=0034 ADD_EDGE edge_id=e_3045ebad3cd4 source=n_1322c81d1548 edge_type=supports target=n_3d78973be2c2\nt=0035 ADD_EDGE edge_id=e_e474934ab396 source=n_1afe1988c388 edge_type=refutes target=n_2b3e403c4dd0\nt=0036 ADD_EDGE edge_id=e_2bff88e9efd0 source=n_f46d55609f97 edge_type=refutes target=n_cc3e95bd716d\nt=0037 ADD_EDGE edge_id=e_b8aaa1d77895 source=n_88b21c41050c edge_type=refutes target=n_af509d62d7ac\nt=0038 ADD_EDGE edge_id=e_f617d3df10ad source=n_6a96a1c2f094 edge_type=refutes target=n_b0155597f2de\nt=0039 QUERY source=n_f9b9ecdc050f target=n_2b3e403c4dd0\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1902,"provenance":{"base_record_id":"train-d05-026","dataset":"livegraph-deterministic-parity-v3","depth":5,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d05-026","split":"train","variant":"clean"},"record_seed":946015425226834668,"render_sha256":"d78f7f7263bc78dd95005ee39918d89f6286257fcf6aeec05a7b526c5bd8a79d","representation":"linear_trace","semantic_sha256":"bbe37e3627eeec361411a87989840106176f2be2400100eee0c4c0318099ceae"}
{"char_count":3540,"item_id":"train-d05-027::linear_trace","label":"FALSE","lexical_token_proxy_count":608,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_af6e25ae4b75 node_type=claim\nt=0001 CREATE_NODE id=n_4a535cfa52c5 node_type=claim\nt=0002 CREATE_NODE id=n_c51af9ac6253 node_type=claim\nt=0003 CREATE_NODE id=n_f0ef48deb4b6 node_type=claim\nt=0004 CREATE_NODE id=n_46501261d229 node_type=claim\nt=0005 CREATE_NODE id=n_6c2978c6806d node_type=claim\nt=0006 CREATE_NODE id=n_1cae1b3b94a3 node_type=claim\nt=0007 CREATE_NODE id=n_010295a5316a node_type=claim\nt=0008 CREATE_NODE id=n_2d14a78d988a node_type=claim\nt=0009 CREATE_NODE id=n_b01b6499bfea node_type=claim\nt=0010 CREATE_NODE id=n_eb5ea459a79e node_type=claim\nt=0011 CREATE_NODE id=n_8bf24ebd7f97 node_type=claim\nt=0012 CREATE_NODE id=n_fc5d0e430a57 node_type=claim\nt=0013 CREATE_NODE id=n_d9eb42097534 node_type=claim\nt=0014 CREATE_NODE id=n_b61d63cd5edb node_type=claim\nt=0015 CREATE_NODE id=n_feccd2a1f214 node_type=claim\nt=0016 CREATE_NODE id=n_c556b168be46 node_type=claim\nt=0017 CREATE_NODE id=n_fd8f73890e8a node_type=claim\nt=0018 CREATE_NODE id=n_4dd967e565d5 node_type=claim\nt=0019 CREATE_NODE id=n_a68f872992f0 node_type=claim\nt=0020 ASSERT_ROOT node=n_fd8f73890e8a value=FALSE\nt=0021 ADD_EDGE edge_id=e_5c419384f0e8 source=n_6c2978c6806d edge_type=refutes target=n_1cae1b3b94a3\nt=0022 ADD_EDGE edge_id=e_db1cdf1844cb source=n_d9eb42097534 edge_type=supports target=n_c51af9ac6253\nt=0023 ADD_EDGE edge_id=e_6598ddb365fd source=n_d9eb42097534 edge_type=supports target=n_c556b168be46\nt=0024 ADD_EDGE edge_id=e_ef5c1eb5a96d source=n_f0ef48deb4b6 edge_type=supports target=n_2d14a78d988a\nt=0025 ADD_EDGE edge_id=e_b3055780daa8 source=n_4dd967e565d5 edge_type=refutes target=n_af6e25ae4b75\nt=0026 ADD_EDGE edge_id=e_b30d5bcb0ae0 source=n_fd8f73890e8a edge_type=refutes target=n_a68f872992f0\nt=0027 ADD_EDGE edge_id=e_f062f409f565 source=n_feccd2a1f214 edge_type=supports target=n_f0ef48deb4b6\nt=0028 ADD_EDGE edge_id=e_c53cceddab7f source=n_eb5ea459a79e edge_type=supports target=n_6c2978c6806d\nt=0029 ADD_EDGE edge_id=e_d3f13ea8ecd8 source=n_c51af9ac6253 edge_type=refutes target=n_46501261d229\nt=0030 ADD_EDGE edge_id=e_9c96bd3c50d9 source=n_4a535cfa52c5 edge_type=refutes target=n_4dd967e565d5\nt=0031 ADD_EDGE edge_id=e_15fcc1e185d3 source=n_c51af9ac6253 edge_type=supports target=n_eb5ea459a79e\nt=0032 ADD_EDGE edge_id=e_8f3c500777c4 source=n_f0ef48deb4b6 edge_type=refutes target=n_4a535cfa52c5\nt=0033 ADD_EDGE edge_id=e_7eedeb199083 source=n_8bf24ebd7f97 edge_type=supports target=n_b61d63cd5edb\nt=0034 ADD_EDGE edge_id=e_8929a60f998e source=n_010295a5316a edge_type=refutes target=n_b01b6499bfea\nt=0035 ADD_EDGE edge_id=e_f8413a27cbb8 source=n_feccd2a1f214 edge_type=refutes target=n_010295a5316a\nt=0036 ADD_EDGE edge_id=e_b8c851fb8f07 source=n_4a535cfa52c5 edge_type=supports target=n_8bf24ebd7f97\nt=0037 ADD_EDGE edge_id=e_9724e0ade6b3 source=n_a68f872992f0 edge_type=refutes target=n_d9eb42097534\nt=0038 ADD_EDGE edge_id=e_30b09e238428 source=n_d9eb42097534 edge_type=supports target=n_fc5d0e430a57\nt=0039 QUERY source=n_fd8f73890e8a target=n_6c2978c6806d\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1892,"provenance":{"base_record_id":"train-d05-027","dataset":"livegraph-deterministic-parity-v3","depth":5,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d05-027","split":"train","variant":"clean"},"record_seed":870606008019278526,"render_sha256":"11541e6c94d9713ded4fb062bef95b27c7b4707af9aef1f144317a81924466fc","representation":"linear_trace","semantic_sha256":"238fba78d23c8f481a6bb11d6152376d6dfe819c05f330517b65faf398a467bb"}
{"char_count":3539,"item_id":"train-d05-028::linear_trace","label":"TRUE","lexical_token_proxy_count":608,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_78716c9d6f17 node_type=claim\nt=0001 CREATE_NODE id=n_eeda8aff9e20 node_type=claim\nt=0002 CREATE_NODE id=n_4f67902cd694 node_type=claim\nt=0003 CREATE_NODE id=n_51e360704695 node_type=claim\nt=0004 CREATE_NODE id=n_ecf3c8c6d36e node_type=claim\nt=0005 CREATE_NODE id=n_440767871b64 node_type=claim\nt=0006 CREATE_NODE id=n_4ade0659e3d4 node_type=claim\nt=0007 CREATE_NODE id=n_546ac4249195 node_type=claim\nt=0008 CREATE_NODE id=n_f0452624f2ef node_type=claim\nt=0009 CREATE_NODE id=n_33d733a17075 node_type=claim\nt=0010 CREATE_NODE id=n_c48681287dfb node_type=claim\nt=0011 CREATE_NODE id=n_d23abe520536 node_type=claim\nt=0012 CREATE_NODE id=n_d377970f754c node_type=claim\nt=0013 CREATE_NODE id=n_0cf82cb5b118 node_type=claim\nt=0014 CREATE_NODE id=n_2c87443e8a33 node_type=claim\nt=0015 CREATE_NODE id=n_10ec4529ed00 node_type=claim\nt=0016 CREATE_NODE id=n_407c4f550763 node_type=claim\nt=0017 CREATE_NODE id=n_59d4924fd198 node_type=claim\nt=0018 CREATE_NODE id=n_22d4d3781d50 node_type=claim\nt=0019 CREATE_NODE id=n_486ffab747f2 node_type=claim\nt=0020 ASSERT_ROOT node=n_10ec4529ed00 value=TRUE\nt=0021 ADD_EDGE edge_id=e_36afc7ae0f28 source=n_78716c9d6f17 edge_type=supports target=n_ecf3c8c6d36e\nt=0022 ADD_EDGE edge_id=e_aa6018efd60a source=n_59d4924fd198 edge_type=supports target=n_486ffab747f2\nt=0023 ADD_EDGE edge_id=e_35d7b56df0c0 source=n_eeda8aff9e20 edge_type=refutes target=n_78716c9d6f17\nt=0024 ADD_EDGE edge_id=e_77d7ad5102cb source=n_0cf82cb5b118 edge_type=refutes target=n_d23abe520536\nt=0025 ADD_EDGE edge_id=e_9f3c881f61b2 source=n_f0452624f2ef edge_type=supports target=n_407c4f550763\nt=0026 ADD_EDGE edge_id=e_4b91a50a3ef9 source=n_0cf82cb5b118 edge_type=supports target=n_4f67902cd694\nt=0027 ADD_EDGE edge_id=e_40a171d9d20c source=n_407c4f550763 edge_type=refutes target=n_d377970f754c\nt=0028 ADD_EDGE edge_id=e_61882f0b95ce source=n_eeda8aff9e20 edge_type=supports target=n_c48681287dfb\nt=0029 ADD_EDGE edge_id=e_afebca9b4217 source=n_10ec4529ed00 edge_type=supports target=n_f0452624f2ef\nt=0030 ADD_EDGE edge_id=e_f6562b40f7e8 source=n_2c87443e8a33 edge_type=refutes target=n_33d733a17075\nt=0031 ADD_EDGE edge_id=e_84c78d4a604b source=n_d377970f754c edge_type=supports target=n_eeda8aff9e20\nt=0032 ADD_EDGE edge_id=e_f71a63a72611 source=n_d377970f754c edge_type=refutes target=n_440767871b64\nt=0033 ADD_EDGE edge_id=e_5b45fd2fb625 source=n_eeda8aff9e20 edge_type=refutes target=n_51e360704695\nt=0034 ADD_EDGE edge_id=e_21f601f523cf source=n_4ade0659e3d4 edge_type=supports target=n_59d4924fd198\nt=0035 ADD_EDGE edge_id=e_c6eade4b8336 source=n_2c87443e8a33 edge_type=supports target=n_22d4d3781d50\nt=0036 ADD_EDGE edge_id=e_38e0e0f932fc source=n_4ade0659e3d4 edge_type=refutes target=n_0cf82cb5b118\nt=0037 ADD_EDGE edge_id=e_22231fcc81c1 source=n_59d4924fd198 edge_type=refutes target=n_546ac4249195\nt=0038 ADD_EDGE edge_id=e_2495bebad67a source=n_546ac4249195 edge_type=refutes target=n_2c87443e8a33\nt=0039 QUERY source=n_10ec4529ed00 target=n_78716c9d6f17\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1911,"provenance":{"base_record_id":"train-d05-028","dataset":"livegraph-deterministic-parity-v3","depth":5,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d05-028","split":"train","variant":"clean"},"record_seed":129450879447705953,"render_sha256":"1174a0336a71758e291b883b8b0a4bb10a8c1dd92a6cef35be3cb576dc5a4ef8","representation":"linear_trace","semantic_sha256":"87ec5ba4fb015331e054dad9785173fe6dd6e5ce76a5abb4c04a5002991c92a3"}
{"char_count":3539,"item_id":"train-d05-029::linear_trace","label":"FALSE","lexical_token_proxy_count":608,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_53ab297ee8c0 node_type=claim\nt=0001 CREATE_NODE id=n_b7692345fb2d node_type=claim\nt=0002 CREATE_NODE id=n_789fa57eb5d5 node_type=claim\nt=0003 CREATE_NODE id=n_ad4857e8b022 node_type=claim\nt=0004 CREATE_NODE id=n_c7e2345c5d00 node_type=claim\nt=0005 CREATE_NODE id=n_61571264b9b6 node_type=claim\nt=0006 CREATE_NODE id=n_ecb58cf05aee node_type=claim\nt=0007 CREATE_NODE id=n_d4191056d1b1 node_type=claim\nt=0008 CREATE_NODE id=n_586967cea466 node_type=claim\nt=0009 CREATE_NODE id=n_2a1ee76e20c1 node_type=claim\nt=0010 CREATE_NODE id=n_4c3be3f5eecf node_type=claim\nt=0011 CREATE_NODE id=n_77cd70b13c8e node_type=claim\nt=0012 CREATE_NODE id=n_18405d6b1198 node_type=claim\nt=0013 CREATE_NODE id=n_51feb40e177c node_type=claim\nt=0014 CREATE_NODE id=n_3e844e074e6d node_type=claim\nt=0015 CREATE_NODE id=n_bf014a9d3328 node_type=claim\nt=0016 CREATE_NODE id=n_a46e7825e45c node_type=claim\nt=0017 CREATE_NODE id=n_0b2df775ccf7 node_type=claim\nt=0018 CREATE_NODE id=n_921fb0923eff node_type=claim\nt=0019 CREATE_NODE id=n_f33c831c59fc node_type=claim\nt=0020 ASSERT_ROOT node=n_d4191056d1b1 value=TRUE\nt=0021 ADD_EDGE edge_id=e_14fffd713bd5 source=n_77cd70b13c8e edge_type=refutes target=n_b7692345fb2d\nt=0022 ADD_EDGE edge_id=e_4813f7eb3806 source=n_d4191056d1b1 edge_type=supports target=n_c7e2345c5d00\nt=0023 ADD_EDGE edge_id=e_e822ed00bf30 source=n_586967cea466 edge_type=refutes target=n_53ab297ee8c0\nt=0024 ADD_EDGE edge_id=e_073142e71204 source=n_bf014a9d3328 edge_type=supports target=n_a46e7825e45c\nt=0025 ADD_EDGE edge_id=e_8a280cb2c5fa source=n_ecb58cf05aee edge_type=supports target=n_4c3be3f5eecf\nt=0026 ADD_EDGE edge_id=e_8342a879426f source=n_bf014a9d3328 edge_type=refutes target=n_ecb58cf05aee\nt=0027 ADD_EDGE edge_id=e_4a6e1e80e832 source=n_2a1ee76e20c1 edge_type=supports target=n_61571264b9b6\nt=0028 ADD_EDGE edge_id=e_d357147c4222 source=n_789fa57eb5d5 edge_type=refutes target=n_586967cea466\nt=0029 ADD_EDGE edge_id=e_196ff3e65ca4 source=n_921fb0923eff edge_type=refutes target=n_789fa57eb5d5\nt=0030 ADD_EDGE edge_id=e_6c6adec9063a source=n_a46e7825e45c edge_type=supports target=n_3e844e074e6d\nt=0031 ADD_EDGE edge_id=e_1862bb00ba60 source=n_d4191056d1b1 edge_type=supports target=n_921fb0923eff\nt=0032 ADD_EDGE edge_id=e_b747356efe67 source=n_53ab297ee8c0 edge_type=supports target=n_0b2df775ccf7\nt=0033 ADD_EDGE edge_id=e_8e27068daae7 source=n_bf014a9d3328 edge_type=refutes target=n_77cd70b13c8e\nt=0034 ADD_EDGE edge_id=e_1ea5bf145b1c source=n_789fa57eb5d5 edge_type=refutes target=n_ad4857e8b022\nt=0035 ADD_EDGE edge_id=e_903e96c32e19 source=n_bf014a9d3328 edge_type=supports target=n_f33c831c59fc\nt=0036 ADD_EDGE edge_id=e_e24cb4242a14 source=n_921fb0923eff edge_type=refutes target=n_18405d6b1198\nt=0037 ADD_EDGE edge_id=e_7f32c9880db9 source=n_b7692345fb2d edge_type=supports target=n_2a1ee76e20c1\nt=0038 ADD_EDGE edge_id=e_86dedeba1105 source=n_586967cea466 edge_type=refutes target=n_51feb40e177c\nt=0039 QUERY source=n_d4191056d1b1 target=n_0b2df775ccf7\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1897,"provenance":{"base_record_id":"train-d05-029","dataset":"livegraph-deterministic-parity-v3","depth":5,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d05-029","split":"train","variant":"clean"},"record_seed":366099762374680703,"render_sha256":"84eccbb347a86eb8688fb2961211bd6dca3b55e87a85e074d88a0e3933f2c55e","representation":"linear_trace","semantic_sha256":"7498c1e63d14c929832a8a15f4c7154464ca784dcd8f2c137a4d964d78f0eee2"}
{"char_count":3540,"item_id":"train-d05-030::linear_trace","label":"TRUE","lexical_token_proxy_count":608,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_fe4f622be387 node_type=claim\nt=0001 CREATE_NODE id=n_80b6e655e80a node_type=claim\nt=0002 CREATE_NODE id=n_7700b4cf3864 node_type=claim\nt=0003 CREATE_NODE id=n_97030df3821e node_type=claim\nt=0004 CREATE_NODE id=n_981551329cd2 node_type=claim\nt=0005 CREATE_NODE id=n_90e916e42826 node_type=claim\nt=0006 CREATE_NODE id=n_59dc4164ae49 node_type=claim\nt=0007 CREATE_NODE id=n_6eccb4a81462 node_type=claim\nt=0008 CREATE_NODE id=n_603de8146fcf node_type=claim\nt=0009 CREATE_NODE id=n_9b36fd2a98ac node_type=claim\nt=0010 CREATE_NODE id=n_84cf4ff8fbe0 node_type=claim\nt=0011 CREATE_NODE id=n_bdce804c137f node_type=claim\nt=0012 CREATE_NODE id=n_845607dc1109 node_type=claim\nt=0013 CREATE_NODE id=n_c992a7d7cf67 node_type=claim\nt=0014 CREATE_NODE id=n_684fbc1a640c node_type=claim\nt=0015 CREATE_NODE id=n_99873ef7d159 node_type=claim\nt=0016 CREATE_NODE id=n_7c4ecebf3b7e node_type=claim\nt=0017 CREATE_NODE id=n_73b722b40b4d node_type=claim\nt=0018 CREATE_NODE id=n_b29d7f1daf2e node_type=claim\nt=0019 CREATE_NODE id=n_dfbd1ae0859c node_type=claim\nt=0020 ASSERT_ROOT node=n_97030df3821e value=FALSE\nt=0021 ADD_EDGE edge_id=e_c7a2cb694012 source=n_c992a7d7cf67 edge_type=refutes target=n_99873ef7d159\nt=0022 ADD_EDGE edge_id=e_0daaa34e4968 source=n_73b722b40b4d edge_type=supports target=n_90e916e42826\nt=0023 ADD_EDGE edge_id=e_5e77b05624b3 source=n_7c4ecebf3b7e edge_type=supports target=n_b29d7f1daf2e\nt=0024 ADD_EDGE edge_id=e_d14f82f5904d source=n_7c4ecebf3b7e edge_type=supports target=n_dfbd1ae0859c\nt=0025 ADD_EDGE edge_id=e_49b93eccfd85 source=n_90e916e42826 edge_type=refutes target=n_684fbc1a640c\nt=0026 ADD_EDGE edge_id=e_4d385f7a5659 source=n_73b722b40b4d edge_type=refutes target=n_603de8146fcf\nt=0027 ADD_EDGE edge_id=e_f4bd081bb938 source=n_97030df3821e edge_type=supports target=n_c992a7d7cf67\nt=0028 ADD_EDGE edge_id=e_03a42b5cf2ad source=n_684fbc1a640c edge_type=supports target=n_9b36fd2a98ac\nt=0029 ADD_EDGE edge_id=e_e2ec31f75a36 source=n_7c4ecebf3b7e edge_type=refutes target=n_80b6e655e80a\nt=0030 ADD_EDGE edge_id=e_4bef398cc61c source=n_6eccb4a81462 edge_type=refutes target=n_73b722b40b4d\nt=0031 ADD_EDGE edge_id=e_95c65cde52da source=n_7c4ecebf3b7e edge_type=supports target=n_fe4f622be387\nt=0032 ADD_EDGE edge_id=e_9a9ecda28d40 source=n_99873ef7d159 edge_type=supports target=n_7c4ecebf3b7e\nt=0033 ADD_EDGE edge_id=e_7f360dd5da1c source=n_84cf4ff8fbe0 edge_type=refutes target=n_59dc4164ae49\nt=0034 ADD_EDGE edge_id=e_14828562fee7 source=n_bdce804c137f edge_type=refutes target=n_845607dc1109\nt=0035 ADD_EDGE edge_id=e_506fef2e0916 source=n_6eccb4a81462 edge_type=supports target=n_7700b4cf3864\nt=0036 ADD_EDGE edge_id=e_6aa905a3aebf source=n_7c4ecebf3b7e edge_type=refutes target=n_bdce804c137f\nt=0037 ADD_EDGE edge_id=e_76714d3cb528 source=n_90e916e42826 edge_type=refutes target=n_84cf4ff8fbe0\nt=0038 ADD_EDGE edge_id=e_06cb819cefb6 source=n_684fbc1a640c edge_type=supports target=n_981551329cd2\nt=0039 QUERY source=n_97030df3821e target=n_845607dc1109\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1881,"provenance":{"base_record_id":"train-d05-030","dataset":"livegraph-deterministic-parity-v3","depth":5,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d05-030","split":"train","variant":"clean"},"record_seed":939620152060034093,"render_sha256":"1fa76969e07f8c65eb492af51a24008dfbef356a072206b926e4a32682c87306","representation":"linear_trace","semantic_sha256":"7a249d45ca6d8004b1e4ea1968631b35d5abe795481fe40abe73b3655ccd8e8d"}
{"char_count":3540,"item_id":"train-d05-031::linear_trace","label":"FALSE","lexical_token_proxy_count":608,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_2b5f0950650e node_type=claim\nt=0001 CREATE_NODE id=n_8c870d0a1f30 node_type=claim\nt=0002 CREATE_NODE id=n_1f238be9bc80 node_type=claim\nt=0003 CREATE_NODE id=n_c72cffc6554e node_type=claim\nt=0004 CREATE_NODE id=n_b086dcf017a1 node_type=claim\nt=0005 CREATE_NODE id=n_f3fb6cfa54f6 node_type=claim\nt=0006 CREATE_NODE id=n_08dccb17c9af node_type=claim\nt=0007 CREATE_NODE id=n_32d266bcaea0 node_type=claim\nt=0008 CREATE_NODE id=n_bee752aaea5f node_type=claim\nt=0009 CREATE_NODE id=n_92d8110c408f node_type=claim\nt=0010 CREATE_NODE id=n_e2bbba337bf1 node_type=claim\nt=0011 CREATE_NODE id=n_9c06384023ee node_type=claim\nt=0012 CREATE_NODE id=n_525ec7eecfc3 node_type=claim\nt=0013 CREATE_NODE id=n_540a996abcae node_type=claim\nt=0014 CREATE_NODE id=n_0eac9df55040 node_type=claim\nt=0015 CREATE_NODE id=n_0976f7baa7cc node_type=claim\nt=0016 CREATE_NODE id=n_11c0511849f7 node_type=claim\nt=0017 CREATE_NODE id=n_5943b5764ae1 node_type=claim\nt=0018 CREATE_NODE id=n_28d29f41acfd node_type=claim\nt=0019 CREATE_NODE id=n_36ef14a22118 node_type=claim\nt=0020 ASSERT_ROOT node=n_540a996abcae value=FALSE\nt=0021 ADD_EDGE edge_id=e_4760c98e72d8 source=n_28d29f41acfd edge_type=refutes target=n_f3fb6cfa54f6\nt=0022 ADD_EDGE edge_id=e_e3a05bad76f6 source=n_540a996abcae edge_type=supports target=n_36ef14a22118\nt=0023 ADD_EDGE edge_id=e_e2a6d907f96a source=n_5943b5764ae1 edge_type=refutes target=n_08dccb17c9af\nt=0024 ADD_EDGE edge_id=e_8aba2fab8185 source=n_e2bbba337bf1 edge_type=supports target=n_bee752aaea5f\nt=0025 ADD_EDGE edge_id=e_0f93f2d9fcd4 source=n_bee752aaea5f edge_type=refutes target=n_9c06384023ee\nt=0026 ADD_EDGE edge_id=e_3d302a51e499 source=n_92d8110c408f edge_type=refutes target=n_32d266bcaea0\nt=0027 ADD_EDGE edge_id=e_9839e6110854 source=n_f3fb6cfa54f6 edge_type=refutes target=n_525ec7eecfc3\nt=0028 ADD_EDGE edge_id=e_4063cc05b084 source=n_92d8110c408f edge_type=refutes target=n_0eac9df55040\nt=0029 ADD_EDGE edge_id=e_e8a689dc952d source=n_5943b5764ae1 edge_type=supports target=n_11c0511849f7\nt=0030 ADD_EDGE edge_id=e_c22a28a57c4f source=n_525ec7eecfc3 edge_type=supports target=n_b086dcf017a1\nt=0031 ADD_EDGE edge_id=e_10321ed85dfc source=n_08dccb17c9af edge_type=refutes target=n_92d8110c408f\nt=0032 ADD_EDGE edge_id=e_188a388902df source=n_c72cffc6554e edge_type=supports target=n_2b5f0950650e\nt=0033 ADD_EDGE edge_id=e_ee0e704fa39b source=n_28d29f41acfd edge_type=supports target=n_e2bbba337bf1\nt=0034 ADD_EDGE edge_id=e_627b1083aaa0 source=n_540a996abcae edge_type=supports target=n_8c870d0a1f30\nt=0035 ADD_EDGE edge_id=e_92fefd1cd38e source=n_36ef14a22118 edge_type=refutes target=n_5943b5764ae1\nt=0036 ADD_EDGE edge_id=e_9a38d3e3cd5c source=n_28d29f41acfd edge_type=refutes target=n_c72cffc6554e\nt=0037 ADD_EDGE edge_id=e_dcaf623ab02c source=n_540a996abcae edge_type=supports target=n_0976f7baa7cc\nt=0038 ADD_EDGE edge_id=e_23954ec9c169 source=n_525ec7eecfc3 edge_type=supports target=n_1f238be9bc80\nt=0039 QUERY source=n_540a996abcae target=n_0eac9df55040\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1871,"provenance":{"base_record_id":"train-d05-031","dataset":"livegraph-deterministic-parity-v3","depth":5,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d05-031","split":"train","variant":"clean"},"record_seed":630176560591095433,"render_sha256":"38c6b53c2dc0562c4bb57b24e0ab7920de84e21abb5577552300e99265f41b2b","representation":"linear_trace","semantic_sha256":"1d346b028e71f5d9bf561c7a2954aaf01a00c635e8f741f08ec700a8df934d11"}
{"char_count":3539,"item_id":"train-d05-032::linear_trace","label":"TRUE","lexical_token_proxy_count":608,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_992ca9c4cce4 node_type=claim\nt=0001 CREATE_NODE id=n_cf53ddd274b6 node_type=claim\nt=0002 CREATE_NODE id=n_d62880cbcff9 node_type=claim\nt=0003 CREATE_NODE id=n_798e9ebf9c23 node_type=claim\nt=0004 CREATE_NODE id=n_8799b58716e3 node_type=claim\nt=0005 CREATE_NODE id=n_2aaade0d4442 node_type=claim\nt=0006 CREATE_NODE id=n_072d4b142521 node_type=claim\nt=0007 CREATE_NODE id=n_ddfddd15cdc8 node_type=claim\nt=0008 CREATE_NODE id=n_8c45560c41f7 node_type=claim\nt=0009 CREATE_NODE id=n_04f700496730 node_type=claim\nt=0010 CREATE_NODE id=n_3aa3c32aa5b1 node_type=claim\nt=0011 CREATE_NODE id=n_86eb2d9bd814 node_type=claim\nt=0012 CREATE_NODE id=n_c6680ed519ac node_type=claim\nt=0013 CREATE_NODE id=n_2ce13977a8a1 node_type=claim\nt=0014 CREATE_NODE id=n_d0f247ac5af3 node_type=claim\nt=0015 CREATE_NODE id=n_2ccce31f48cd node_type=claim\nt=0016 CREATE_NODE id=n_8eeebcca9613 node_type=claim\nt=0017 CREATE_NODE id=n_76138a34b2cc node_type=claim\nt=0018 CREATE_NODE id=n_577d17520148 node_type=claim\nt=0019 CREATE_NODE id=n_f0012c3d1f2e node_type=claim\nt=0020 ASSERT_ROOT node=n_cf53ddd274b6 value=TRUE\nt=0021 ADD_EDGE edge_id=e_61b570e2cd0e source=n_ddfddd15cdc8 edge_type=refutes target=n_04f700496730\nt=0022 ADD_EDGE edge_id=e_205e471fb662 source=n_3aa3c32aa5b1 edge_type=supports target=n_8eeebcca9613\nt=0023 ADD_EDGE edge_id=e_8e9a008e5adf source=n_cf53ddd274b6 edge_type=refutes target=n_d62880cbcff9\nt=0024 ADD_EDGE edge_id=e_486118e90948 source=n_f0012c3d1f2e edge_type=refutes target=n_ddfddd15cdc8\nt=0025 ADD_EDGE edge_id=e_f1a2e4822e42 source=n_2ce13977a8a1 edge_type=supports target=n_2ccce31f48cd\nt=0026 ADD_EDGE edge_id=e_3a2abc93c037 source=n_3aa3c32aa5b1 edge_type=refutes target=n_76138a34b2cc\nt=0027 ADD_EDGE edge_id=e_eef3155a63ea source=n_76138a34b2cc edge_type=refutes target=n_577d17520148\nt=0028 ADD_EDGE edge_id=e_451945acd685 source=n_ddfddd15cdc8 edge_type=supports target=n_2ce13977a8a1\nt=0029 ADD_EDGE edge_id=e_0817cfc9045c source=n_072d4b142521 edge_type=refutes target=n_992ca9c4cce4\nt=0030 ADD_EDGE edge_id=e_6f829f9cea67 source=n_76138a34b2cc edge_type=refutes target=n_8c45560c41f7\nt=0031 ADD_EDGE edge_id=e_0ec1b8ecfe4c source=n_76138a34b2cc edge_type=supports target=n_2aaade0d4442\nt=0032 ADD_EDGE edge_id=e_e43df0be2b7e source=n_072d4b142521 edge_type=refutes target=n_d0f247ac5af3\nt=0033 ADD_EDGE edge_id=e_8b3c9be1075d source=n_2ccce31f48cd edge_type=supports target=n_8799b58716e3\nt=0034 ADD_EDGE edge_id=e_cc56043fa245 source=n_3aa3c32aa5b1 edge_type=refutes target=n_072d4b142521\nt=0035 ADD_EDGE edge_id=e_2b887b05b7dd source=n_d62880cbcff9 edge_type=supports target=n_f0012c3d1f2e\nt=0036 ADD_EDGE edge_id=e_60e30679847c source=n_d62880cbcff9 edge_type=supports target=n_c6680ed519ac\nt=0037 ADD_EDGE edge_id=e_384210df8403 source=n_992ca9c4cce4 edge_type=supports target=n_86eb2d9bd814\nt=0038 ADD_EDGE edge_id=e_9a7a8a1bb95d source=n_cf53ddd274b6 edge_type=supports target=n_798e9ebf9c23\nt=0039 QUERY source=n_cf53ddd274b6 target=n_2ccce31f48cd\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1866,"provenance":{"base_record_id":"train-d05-032","dataset":"livegraph-deterministic-parity-v3","depth":5,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d05-032","split":"train","variant":"clean"},"record_seed":1098578086333329701,"render_sha256":"d0169a8838a327d9d96aa2cf90a7aa6ba3ef24337b16d904dcdee8844fc9871b","representation":"linear_trace","semantic_sha256":"d2ad731b364be9ba14bf4253eea0df48ea0dc781962de7553d10832fed19d0a3"}
{"char_count":3539,"item_id":"train-d05-033::linear_trace","label":"FALSE","lexical_token_proxy_count":608,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_737f5c38311e node_type=claim\nt=0001 CREATE_NODE id=n_71bd61227e81 node_type=claim\nt=0002 CREATE_NODE id=n_366f6241d5fa node_type=claim\nt=0003 CREATE_NODE id=n_f703101c7701 node_type=claim\nt=0004 CREATE_NODE id=n_3b56ebe508d6 node_type=claim\nt=0005 CREATE_NODE id=n_ee48b9189635 node_type=claim\nt=0006 CREATE_NODE id=n_7e4d53d56bcd node_type=claim\nt=0007 CREATE_NODE id=n_296d37703bcc node_type=claim\nt=0008 CREATE_NODE id=n_9d93edcb253c node_type=claim\nt=0009 CREATE_NODE id=n_1838c3200c22 node_type=claim\nt=0010 CREATE_NODE id=n_7dc54d27cbf4 node_type=claim\nt=0011 CREATE_NODE id=n_2611d3c48887 node_type=claim\nt=0012 CREATE_NODE id=n_0a7f35537cde node_type=claim\nt=0013 CREATE_NODE id=n_374a2098d43f node_type=claim\nt=0014 CREATE_NODE id=n_a0a47f095d7b node_type=claim\nt=0015 CREATE_NODE id=n_c4a92fe358ff node_type=claim\nt=0016 CREATE_NODE id=n_2d5aff9471eb node_type=claim\nt=0017 CREATE_NODE id=n_3f8811903732 node_type=claim\nt=0018 CREATE_NODE id=n_0372c2f17765 node_type=claim\nt=0019 CREATE_NODE id=n_aec0d9969e7e node_type=claim\nt=0020 ASSERT_ROOT node=n_0372c2f17765 value=TRUE\nt=0021 ADD_EDGE edge_id=e_e16b95102d73 source=n_3f8811903732 edge_type=supports target=n_7e4d53d56bcd\nt=0022 ADD_EDGE edge_id=e_8c52b0ac6422 source=n_f703101c7701 edge_type=supports target=n_71bd61227e81\nt=0023 ADD_EDGE edge_id=e_e1fce77cc31a source=n_2d5aff9471eb edge_type=supports target=n_737f5c38311e\nt=0024 ADD_EDGE edge_id=e_288f049b3d0d source=n_366f6241d5fa edge_type=refutes target=n_c4a92fe358ff\nt=0025 ADD_EDGE edge_id=e_6719a8672e4e source=n_f703101c7701 edge_type=refutes target=n_aec0d9969e7e\nt=0026 ADD_EDGE edge_id=e_e6f8fd7b6d21 source=n_737f5c38311e edge_type=refutes target=n_3f8811903732\nt=0027 ADD_EDGE edge_id=e_9883f4efc963 source=n_c4a92fe358ff edge_type=refutes target=n_296d37703bcc\nt=0028 ADD_EDGE edge_id=e_41331660a05f source=n_0372c2f17765 edge_type=refutes target=n_1838c3200c22\nt=0029 ADD_EDGE edge_id=e_5c59e809b1b5 source=n_2d5aff9471eb edge_type=refutes target=n_9d93edcb253c\nt=0030 ADD_EDGE edge_id=e_6b547dc05496 source=n_aec0d9969e7e edge_type=supports target=n_0a7f35537cde\nt=0031 ADD_EDGE edge_id=e_650a710d2c6a source=n_3b56ebe508d6 edge_type=supports target=n_374a2098d43f\nt=0032 ADD_EDGE edge_id=e_00832885f784 source=n_0a7f35537cde edge_type=supports target=n_366f6241d5fa\nt=0033 ADD_EDGE edge_id=e_1d667e38d2bf source=n_ee48b9189635 edge_type=supports target=n_2611d3c48887\nt=0034 ADD_EDGE edge_id=e_743a84cba640 source=n_0372c2f17765 edge_type=refutes target=n_f703101c7701\nt=0035 ADD_EDGE edge_id=e_723bf0dddf10 source=n_0a7f35537cde edge_type=supports target=n_a0a47f095d7b\nt=0036 ADD_EDGE edge_id=e_76c08c403b7e source=n_3b56ebe508d6 edge_type=supports target=n_7dc54d27cbf4\nt=0037 ADD_EDGE edge_id=e_aa6146b60d11 source=n_7dc54d27cbf4 edge_type=refutes target=n_ee48b9189635\nt=0038 ADD_EDGE edge_id=e_aafd45f20f6e source=n_3b56ebe508d6 edge_type=refutes target=n_2d5aff9471eb\nt=0039 QUERY source=n_0372c2f17765 target=n_c4a92fe358ff\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1921,"provenance":{"base_record_id":"train-d05-033","dataset":"livegraph-deterministic-parity-v3","depth":5,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d05-033","split":"train","variant":"clean"},"record_seed":604207724459425972,"render_sha256":"45e116bc0ed8a51c584705241402a6e1168df2cbda028c3afaadfc2b02bcaeb1","representation":"linear_trace","semantic_sha256":"04f47583062d4df61384887eeaa93cfeb509809a3b631f4d0174442aa1ba8bbd"}
{"char_count":3540,"item_id":"train-d05-034::linear_trace","label":"TRUE","lexical_token_proxy_count":608,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_d903466672d8 node_type=claim\nt=0001 CREATE_NODE id=n_4a832fa2d343 node_type=claim\nt=0002 CREATE_NODE id=n_214b5839f7ff node_type=claim\nt=0003 CREATE_NODE id=n_501fceed97b4 node_type=claim\nt=0004 CREATE_NODE id=n_fae42cedd729 node_type=claim\nt=0005 CREATE_NODE id=n_ac18b7202ed9 node_type=claim\nt=0006 CREATE_NODE id=n_8ff037c1e709 node_type=claim\nt=0007 CREATE_NODE id=n_5819c1c0a339 node_type=claim\nt=0008 CREATE_NODE id=n_c88c336bf6ed node_type=claim\nt=0009 CREATE_NODE id=n_6d587acb9ca6 node_type=claim\nt=0010 CREATE_NODE id=n_6cd93d914033 node_type=claim\nt=0011 CREATE_NODE id=n_a93560ba9b2e node_type=claim\nt=0012 CREATE_NODE id=n_d6d0511665f5 node_type=claim\nt=0013 CREATE_NODE id=n_e0407f9659f7 node_type=claim\nt=0014 CREATE_NODE id=n_84943397817a node_type=claim\nt=0015 CREATE_NODE id=n_da31aa9cd276 node_type=claim\nt=0016 CREATE_NODE id=n_af3b37ba3b3b node_type=claim\nt=0017 CREATE_NODE id=n_36139d855d9a node_type=claim\nt=0018 CREATE_NODE id=n_6e5eb2177816 node_type=claim\nt=0019 CREATE_NODE id=n_44e17dee8dcb node_type=claim\nt=0020 ASSERT_ROOT node=n_da31aa9cd276 value=FALSE\nt=0021 ADD_EDGE edge_id=e_55bd4df738de source=n_e0407f9659f7 edge_type=refutes target=n_214b5839f7ff\nt=0022 ADD_EDGE edge_id=e_8657b7dd650a source=n_da31aa9cd276 edge_type=refutes target=n_501fceed97b4\nt=0023 ADD_EDGE edge_id=e_69bbdce35439 source=n_214b5839f7ff edge_type=supports target=n_5819c1c0a339\nt=0024 ADD_EDGE edge_id=e_13554f30084c source=n_d903466672d8 edge_type=refutes target=n_af3b37ba3b3b\nt=0025 ADD_EDGE edge_id=e_07f01b2ddc18 source=n_e0407f9659f7 edge_type=supports target=n_6e5eb2177816\nt=0026 ADD_EDGE edge_id=e_d76593d7b903 source=n_501fceed97b4 edge_type=supports target=n_e0407f9659f7\nt=0027 ADD_EDGE edge_id=e_b72ae98a176b source=n_4a832fa2d343 edge_type=supports target=n_84943397817a\nt=0028 ADD_EDGE edge_id=e_206a65353e37 source=n_6d587acb9ca6 edge_type=supports target=n_d6d0511665f5\nt=0029 ADD_EDGE edge_id=e_b82f409a7677 source=n_ac18b7202ed9 edge_type=refutes target=n_44e17dee8dcb\nt=0030 ADD_EDGE edge_id=e_1410710c8c58 source=n_e0407f9659f7 edge_type=supports target=n_8ff037c1e709\nt=0031 ADD_EDGE edge_id=e_cc49c4be9258 source=n_214b5839f7ff edge_type=refutes target=n_6cd93d914033\nt=0032 ADD_EDGE edge_id=e_e3bfb03f4b55 source=n_ac18b7202ed9 edge_type=supports target=n_d903466672d8\nt=0033 ADD_EDGE edge_id=e_f85560dd76da source=n_af3b37ba3b3b edge_type=refutes target=n_c88c336bf6ed\nt=0034 ADD_EDGE edge_id=e_53eca342f6f2 source=n_ac18b7202ed9 edge_type=refutes target=n_6d587acb9ca6\nt=0035 ADD_EDGE edge_id=e_556e6974b8dc source=n_6cd93d914033 edge_type=supports target=n_a93560ba9b2e\nt=0036 ADD_EDGE edge_id=e_cbdffa76742a source=n_a93560ba9b2e edge_type=supports target=n_fae42cedd729\nt=0037 ADD_EDGE edge_id=e_7c4e8ba430da source=n_36139d855d9a edge_type=refutes target=n_ac18b7202ed9\nt=0038 ADD_EDGE edge_id=e_9c87b3ab9a16 source=n_d903466672d8 edge_type=refutes target=n_4a832fa2d343\nt=0039 QUERY source=n_da31aa9cd276 target=n_a93560ba9b2e\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1899,"provenance":{"base_record_id":"train-d05-034","dataset":"livegraph-deterministic-parity-v3","depth":5,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d05-034","split":"train","variant":"clean"},"record_seed":606279876907007171,"render_sha256":"5b66547a33de0e5d1108cdcd96ce599699a37094ff382d788370cc6c895e8557","representation":"linear_trace","semantic_sha256":"3a34f2e574bf9339b9473f4f182cc1d7d3d529bac70d52cd1d0265aab77e886c"}
{"char_count":3540,"item_id":"train-d05-035::linear_trace","label":"FALSE","lexical_token_proxy_count":608,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_22259687eecb node_type=claim\nt=0001 CREATE_NODE id=n_b59802ce4dfa node_type=claim\nt=0002 CREATE_NODE id=n_fa2d31543abe node_type=claim\nt=0003 CREATE_NODE id=n_beac9e93d7ab node_type=claim\nt=0004 CREATE_NODE id=n_ae7573ca750c node_type=claim\nt=0005 CREATE_NODE id=n_6961d9d7cdfb node_type=claim\nt=0006 CREATE_NODE id=n_739ca035cf48 node_type=claim\nt=0007 CREATE_NODE id=n_74c85214bcfa node_type=claim\nt=0008 CREATE_NODE id=n_4ef7da305dc3 node_type=claim\nt=0009 CREATE_NODE id=n_fbb22cda5e80 node_type=claim\nt=0010 CREATE_NODE id=n_f3cc7a78067e node_type=claim\nt=0011 CREATE_NODE id=n_58de8c977f6a node_type=claim\nt=0012 CREATE_NODE id=n_25a1732fb09c node_type=claim\nt=0013 CREATE_NODE id=n_5ff1180fd6b9 node_type=claim\nt=0014 CREATE_NODE id=n_fc3fd5769056 node_type=claim\nt=0015 CREATE_NODE id=n_e775b114ef8f node_type=claim\nt=0016 CREATE_NODE id=n_9aed18fb5959 node_type=claim\nt=0017 CREATE_NODE id=n_d01c900dc26e node_type=claim\nt=0018 CREATE_NODE id=n_3442733d80e2 node_type=claim\nt=0019 CREATE_NODE id=n_8ade620d5926 node_type=claim\nt=0020 ASSERT_ROOT node=n_4ef7da305dc3 value=FALSE\nt=0021 ADD_EDGE edge_id=e_3f7ba0d85706 source=n_ae7573ca750c edge_type=refutes target=n_9aed18fb5959\nt=0022 ADD_EDGE edge_id=e_b441c1d40227 source=n_b59802ce4dfa edge_type=refutes target=n_6961d9d7cdfb\nt=0023 ADD_EDGE edge_id=e_12c8a8f2e0ca source=n_6961d9d7cdfb edge_type=supports target=n_fbb22cda5e80\nt=0024 ADD_EDGE edge_id=e_98297ce5622d source=n_74c85214bcfa edge_type=supports target=n_fa2d31543abe\nt=0025 ADD_EDGE edge_id=e_19c19f886286 source=n_22259687eecb edge_type=refutes target=n_beac9e93d7ab\nt=0026 ADD_EDGE edge_id=e_a69a656be040 source=n_4ef7da305dc3 edge_type=supports target=n_b59802ce4dfa\nt=0027 ADD_EDGE edge_id=e_43c284d86643 source=n_f3cc7a78067e edge_type=refutes target=n_3442733d80e2\nt=0028 ADD_EDGE edge_id=e_6b5bbe9582df source=n_6961d9d7cdfb edge_type=supports target=n_58de8c977f6a\nt=0029 ADD_EDGE edge_id=e_135f680ab565 source=n_fa2d31543abe edge_type=refutes target=n_5ff1180fd6b9\nt=0030 ADD_EDGE edge_id=e_d082ba29d7a8 source=n_fbb22cda5e80 edge_type=supports target=n_f3cc7a78067e\nt=0031 ADD_EDGE edge_id=e_4b52fdeb89b5 source=n_74c85214bcfa edge_type=supports target=n_8ade620d5926\nt=0032 ADD_EDGE edge_id=e_b2c06eb43bd7 source=n_74c85214bcfa edge_type=supports target=n_22259687eecb\nt=0033 ADD_EDGE edge_id=e_76e0668e9198 source=n_74c85214bcfa edge_type=supports target=n_fc3fd5769056\nt=0034 ADD_EDGE edge_id=e_95b2482a88ad source=n_f3cc7a78067e edge_type=refutes target=n_25a1732fb09c\nt=0035 ADD_EDGE edge_id=e_9ec1ce5d3b11 source=n_74c85214bcfa edge_type=supports target=n_ae7573ca750c\nt=0036 ADD_EDGE edge_id=e_5f0bef9baed5 source=n_ae7573ca750c edge_type=refutes target=n_d01c900dc26e\nt=0037 ADD_EDGE edge_id=e_492dfa9fe0dd source=n_6961d9d7cdfb edge_type=refutes target=n_e775b114ef8f\nt=0038 ADD_EDGE edge_id=e_cad3bf1cca88 source=n_4ef7da305dc3 edge_type=refutes target=n_739ca035cf48\nt=0039 QUERY source=n_4ef7da305dc3 target=n_3442733d80e2\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1864,"provenance":{"base_record_id":"train-d05-035","dataset":"livegraph-deterministic-parity-v3","depth":5,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d05-035","split":"train","variant":"clean"},"record_seed":594990334659167123,"render_sha256":"bdd4020b0df3655ff0f618f0d9b023355498affa625c5d41b4220a9553cebc04","representation":"linear_trace","semantic_sha256":"06c2c196900750722e7bb7504088394950fafd487c965e0a2ca39dd255ce66c6"}
{"char_count":3539,"item_id":"train-d05-036::linear_trace","label":"TRUE","lexical_token_proxy_count":608,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_adfae4b47e68 node_type=claim\nt=0001 CREATE_NODE id=n_d27b42fab80b node_type=claim\nt=0002 CREATE_NODE id=n_cca0765bcaa6 node_type=claim\nt=0003 CREATE_NODE id=n_623d62b43837 node_type=claim\nt=0004 CREATE_NODE id=n_368cd0868337 node_type=claim\nt=0005 CREATE_NODE id=n_67ce05606d7d node_type=claim\nt=0006 CREATE_NODE id=n_df030275840a node_type=claim\nt=0007 CREATE_NODE id=n_e462f42981d6 node_type=claim\nt=0008 CREATE_NODE id=n_7073416b7e5f node_type=claim\nt=0009 CREATE_NODE id=n_1efced1afd66 node_type=claim\nt=0010 CREATE_NODE id=n_8ca40e83b261 node_type=claim\nt=0011 CREATE_NODE id=n_d5dbc98f2a1e node_type=claim\nt=0012 CREATE_NODE id=n_eba060ab52cf node_type=claim\nt=0013 CREATE_NODE id=n_2aa5e7896638 node_type=claim\nt=0014 CREATE_NODE id=n_cc70052d8f8c node_type=claim\nt=0015 CREATE_NODE id=n_afe49f1d9d44 node_type=claim\nt=0016 CREATE_NODE id=n_b634defa9a55 node_type=claim\nt=0017 CREATE_NODE id=n_3146493b2ceb node_type=claim\nt=0018 CREATE_NODE id=n_4f0a95f92480 node_type=claim\nt=0019 CREATE_NODE id=n_37e800a92fce node_type=claim\nt=0020 ASSERT_ROOT node=n_1efced1afd66 value=TRUE\nt=0021 ADD_EDGE edge_id=e_f488e5971442 source=n_1efced1afd66 edge_type=refutes target=n_d27b42fab80b\nt=0022 ADD_EDGE edge_id=e_de008cd86ab4 source=n_d27b42fab80b edge_type=supports target=n_b634defa9a55\nt=0023 ADD_EDGE edge_id=e_492d6e488f5c source=n_623d62b43837 edge_type=supports target=n_8ca40e83b261\nt=0024 ADD_EDGE edge_id=e_866b19c5b4aa source=n_4f0a95f92480 edge_type=refutes target=n_adfae4b47e68\nt=0025 ADD_EDGE edge_id=e_437123d147fb source=n_afe49f1d9d44 edge_type=refutes target=n_cca0765bcaa6\nt=0026 ADD_EDGE edge_id=e_7033dbf888a6 source=n_d27b42fab80b edge_type=refutes target=n_2aa5e7896638\nt=0027 ADD_EDGE edge_id=e_e7bff379428b source=n_d5dbc98f2a1e edge_type=supports target=n_4f0a95f92480\nt=0028 ADD_EDGE edge_id=e_3ca31f58ba68 source=n_2aa5e7896638 edge_type=supports target=n_37e800a92fce\nt=0029 ADD_EDGE edge_id=e_db9c2e6b689b source=n_e462f42981d6 edge_type=refutes target=n_df030275840a\nt=0030 ADD_EDGE edge_id=e_9fe2b4e8261f source=n_623d62b43837 edge_type=refutes target=n_e462f42981d6\nt=0031 ADD_EDGE edge_id=e_136ca9949e19 source=n_7073416b7e5f edge_type=supports target=n_3146493b2ceb\nt=0032 ADD_EDGE edge_id=e_50f548eaf640 source=n_4f0a95f92480 edge_type=supports target=n_368cd0868337\nt=0033 ADD_EDGE edge_id=e_f2e2bcb154ec source=n_7073416b7e5f edge_type=refutes target=n_cc70052d8f8c\nt=0034 ADD_EDGE edge_id=e_e98ed42da88e source=n_d5dbc98f2a1e edge_type=supports target=n_eba060ab52cf\nt=0035 ADD_EDGE edge_id=e_d8dba6335f96 source=n_2aa5e7896638 edge_type=refutes target=n_d5dbc98f2a1e\nt=0036 ADD_EDGE edge_id=e_b44b3ac2100f source=n_df030275840a edge_type=refutes target=n_67ce05606d7d\nt=0037 ADD_EDGE edge_id=e_851b7117dd4f source=n_afe49f1d9d44 edge_type=supports target=n_623d62b43837\nt=0038 ADD_EDGE edge_id=e_2af3152d20ff source=n_e462f42981d6 edge_type=supports target=n_7073416b7e5f\nt=0039 QUERY source=n_1efced1afd66 target=n_adfae4b47e68\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1887,"provenance":{"base_record_id":"train-d05-036","dataset":"livegraph-deterministic-parity-v3","depth":5,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d05-036","split":"train","variant":"clean"},"record_seed":67598238740338177,"render_sha256":"e0b285aeffc2f446296f2a96d104b7b2586ed29aebd3ff9468b1eae5b940e3cd","representation":"linear_trace","semantic_sha256":"e2854a71d25eda3758a9a2f40a86215e5babb592782bcbfde0382a0df3f5c39b"}
{"char_count":3539,"item_id":"train-d05-037::linear_trace","label":"FALSE","lexical_token_proxy_count":608,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_280e43dce1f4 node_type=claim\nt=0001 CREATE_NODE id=n_0f07e2f4f9e9 node_type=claim\nt=0002 CREATE_NODE id=n_768f71ad1151 node_type=claim\nt=0003 CREATE_NODE id=n_384b60164412 node_type=claim\nt=0004 CREATE_NODE id=n_1ddf087c0fc6 node_type=claim\nt=0005 CREATE_NODE id=n_0a97e26b0faa node_type=claim\nt=0006 CREATE_NODE id=n_4760c74a744a node_type=claim\nt=0007 CREATE_NODE id=n_7169e7077601 node_type=claim\nt=0008 CREATE_NODE id=n_5a3b638de58d node_type=claim\nt=0009 CREATE_NODE id=n_0b8843a0f3bb node_type=claim\nt=0010 CREATE_NODE id=n_08e16f411c8e node_type=claim\nt=0011 CREATE_NODE id=n_7f8fc73eef82 node_type=claim\nt=0012 CREATE_NODE id=n_087af5dbf836 node_type=claim\nt=0013 CREATE_NODE id=n_f8e98777dd9f node_type=claim\nt=0014 CREATE_NODE id=n_caf387c88674 node_type=claim\nt=0015 CREATE_NODE id=n_d0284c2fbe3f node_type=claim\nt=0016 CREATE_NODE id=n_4fcc5ea59e69 node_type=claim\nt=0017 CREATE_NODE id=n_1b91bedb144c node_type=claim\nt=0018 CREATE_NODE id=n_0d16a77fce09 node_type=claim\nt=0019 CREATE_NODE id=n_878f61cafbed node_type=claim\nt=0020 ASSERT_ROOT node=n_4760c74a744a value=TRUE\nt=0021 ADD_EDGE edge_id=e_a13a51cca453 source=n_1b91bedb144c edge_type=supports target=n_5a3b638de58d\nt=0022 ADD_EDGE edge_id=e_e013039adeb7 source=n_4760c74a744a edge_type=supports target=n_878f61cafbed\nt=0023 ADD_EDGE edge_id=e_5d1b88edc0f1 source=n_1b91bedb144c edge_type=supports target=n_7169e7077601\nt=0024 ADD_EDGE edge_id=e_f8924b10dfa0 source=n_0b8843a0f3bb edge_type=refutes target=n_1ddf087c0fc6\nt=0025 ADD_EDGE edge_id=e_fb95f735e269 source=n_5a3b638de58d edge_type=refutes target=n_d0284c2fbe3f\nt=0026 ADD_EDGE edge_id=e_74a248a4f1d9 source=n_1b91bedb144c edge_type=supports target=n_087af5dbf836\nt=0027 ADD_EDGE edge_id=e_fa2ca589c481 source=n_384b60164412 edge_type=refutes target=n_768f71ad1151\nt=0028 ADD_EDGE edge_id=e_89bf15ce9f58 source=n_4760c74a744a edge_type=refutes target=n_08e16f411c8e\nt=0029 ADD_EDGE edge_id=e_8e532e673390 source=n_7f8fc73eef82 edge_type=refutes target=n_0f07e2f4f9e9\nt=0030 ADD_EDGE edge_id=e_78fdb50fe22f source=n_4fcc5ea59e69 edge_type=supports target=n_0d16a77fce09\nt=0031 ADD_EDGE edge_id=e_21a1eefa3575 source=n_4fcc5ea59e69 edge_type=supports target=n_0b8843a0f3bb\nt=0032 ADD_EDGE edge_id=e_f8e262c19ff0 source=n_384b60164412 edge_type=refutes target=n_4fcc5ea59e69\nt=0033 ADD_EDGE edge_id=e_aa810e6f063e source=n_384b60164412 edge_type=supports target=n_280e43dce1f4\nt=0034 ADD_EDGE edge_id=e_1089a44ea50b source=n_768f71ad1151 edge_type=supports target=n_0a97e26b0faa\nt=0035 ADD_EDGE edge_id=e_d5a0727ccaab source=n_f8e98777dd9f edge_type=refutes target=n_caf387c88674\nt=0036 ADD_EDGE edge_id=e_4edb615bbaf6 source=n_08e16f411c8e edge_type=refutes target=n_1b91bedb144c\nt=0037 ADD_EDGE edge_id=e_403277e8f7cf source=n_4fcc5ea59e69 edge_type=refutes target=n_f8e98777dd9f\nt=0038 ADD_EDGE edge_id=e_9380126bc212 source=n_d0284c2fbe3f edge_type=supports target=n_7f8fc73eef82\nt=0039 QUERY source=n_4760c74a744a target=n_7f8fc73eef82\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1902,"provenance":{"base_record_id":"train-d05-037","dataset":"livegraph-deterministic-parity-v3","depth":5,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d05-037","split":"train","variant":"clean"},"record_seed":260202744573785377,"render_sha256":"fa873b205fff3e77f8d773cfe4c8dd236455a0e3ec167c192ada50ff40ea624d","representation":"linear_trace","semantic_sha256":"ccfd68bcc5a4d7a2897282f5fd67d3bed9786383ff93cc378caf872f4bc66638"}
{"char_count":3540,"item_id":"train-d05-038::linear_trace","label":"TRUE","lexical_token_proxy_count":608,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_db1d0d5609f6 node_type=claim\nt=0001 CREATE_NODE id=n_4a8ed4f959d1 node_type=claim\nt=0002 CREATE_NODE id=n_b09f262e05af node_type=claim\nt=0003 CREATE_NODE id=n_7c9a600a7673 node_type=claim\nt=0004 CREATE_NODE id=n_c9a57da9f2a5 node_type=claim\nt=0005 CREATE_NODE id=n_d1f97758b022 node_type=claim\nt=0006 CREATE_NODE id=n_cd0180cc8249 node_type=claim\nt=0007 CREATE_NODE id=n_8137bef164ec node_type=claim\nt=0008 CREATE_NODE id=n_016a45ae0022 node_type=claim\nt=0009 CREATE_NODE id=n_b4a74f0dd0d9 node_type=claim\nt=0010 CREATE_NODE id=n_3e9f483b0f69 node_type=claim\nt=0011 CREATE_NODE id=n_37aae29eeff3 node_type=claim\nt=0012 CREATE_NODE id=n_c2971dc4b4fc node_type=claim\nt=0013 CREATE_NODE id=n_21ae41e58101 node_type=claim\nt=0014 CREATE_NODE id=n_d914b5f7e2eb node_type=claim\nt=0015 CREATE_NODE id=n_f556961d5919 node_type=claim\nt=0016 CREATE_NODE id=n_e625c740249e node_type=claim\nt=0017 CREATE_NODE id=n_c27052f5865c node_type=claim\nt=0018 CREATE_NODE id=n_a9e93a7fe31f node_type=claim\nt=0019 CREATE_NODE id=n_cd42b8891ba2 node_type=claim\nt=0020 ASSERT_ROOT node=n_d914b5f7e2eb value=FALSE\nt=0021 ADD_EDGE edge_id=e_9b3df1979bd5 source=n_21ae41e58101 edge_type=supports target=n_e625c740249e\nt=0022 ADD_EDGE edge_id=e_9b2042467333 source=n_f556961d5919 edge_type=refutes target=n_21ae41e58101\nt=0023 ADD_EDGE edge_id=e_becaa9602c28 source=n_cd0180cc8249 edge_type=supports target=n_a9e93a7fe31f\nt=0024 ADD_EDGE edge_id=e_02aaa0987374 source=n_7c9a600a7673 edge_type=refutes target=n_cd0180cc8249\nt=0025 ADD_EDGE edge_id=e_ed7915a00263 source=n_4a8ed4f959d1 edge_type=supports target=n_37aae29eeff3\nt=0026 ADD_EDGE edge_id=e_fc7ea00b254c source=n_d1f97758b022 edge_type=supports target=n_3e9f483b0f69\nt=0027 ADD_EDGE edge_id=e_be74d28676b9 source=n_4a8ed4f959d1 edge_type=supports target=n_c2971dc4b4fc\nt=0028 ADD_EDGE edge_id=e_e4357c625eb3 source=n_8137bef164ec edge_type=refutes target=n_cd42b8891ba2\nt=0029 ADD_EDGE edge_id=e_087a28162a01 source=n_d914b5f7e2eb edge_type=supports target=n_f556961d5919\nt=0030 ADD_EDGE edge_id=e_661069edd1b5 source=n_8137bef164ec edge_type=refutes target=n_c27052f5865c\nt=0031 ADD_EDGE edge_id=e_2ce10f767148 source=n_21ae41e58101 edge_type=refutes target=n_b4a74f0dd0d9\nt=0032 ADD_EDGE edge_id=e_8558d827939c source=n_f556961d5919 edge_type=refutes target=n_016a45ae0022\nt=0033 ADD_EDGE edge_id=e_4d6f925f5ab9 source=n_d914b5f7e2eb edge_type=supports target=n_db1d0d5609f6\nt=0034 ADD_EDGE edge_id=e_af3bf61ae2bc source=n_c27052f5865c edge_type=refutes target=n_c9a57da9f2a5\nt=0035 ADD_EDGE edge_id=e_ad9f76afc581 source=n_e625c740249e edge_type=supports target=n_4a8ed4f959d1\nt=0036 ADD_EDGE edge_id=e_c16ef8cbb769 source=n_7c9a600a7673 edge_type=refutes target=n_b09f262e05af\nt=0037 ADD_EDGE edge_id=e_ee12573e65e8 source=n_7c9a600a7673 edge_type=supports target=n_d1f97758b022\nt=0038 ADD_EDGE edge_id=e_ac05d0b82851 source=n_7c9a600a7673 edge_type=refutes target=n_8137bef164ec\nt=0039 QUERY source=n_d914b5f7e2eb target=n_c2971dc4b4fc\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1914,"provenance":{"base_record_id":"train-d05-038","dataset":"livegraph-deterministic-parity-v3","depth":5,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d05-038","split":"train","variant":"clean"},"record_seed":266214650026838843,"render_sha256":"e9f86cca21a25cd2d62c758464644e2c12540f0cad9a92f2958316921696200e","representation":"linear_trace","semantic_sha256":"701ae7d579c944dbda6e36bc2ae614a246412f2156e16baf84cbe739fc858fb6"}
{"char_count":3540,"item_id":"train-d05-039::linear_trace","label":"FALSE","lexical_token_proxy_count":608,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_89b61439de4c node_type=claim\nt=0001 CREATE_NODE id=n_cb228566ba5d node_type=claim\nt=0002 CREATE_NODE id=n_b1bfe32947b8 node_type=claim\nt=0003 CREATE_NODE id=n_88c3b64db8ae node_type=claim\nt=0004 CREATE_NODE id=n_b90783669543 node_type=claim\nt=0005 CREATE_NODE id=n_c319ed451453 node_type=claim\nt=0006 CREATE_NODE id=n_66c2d3d3d835 node_type=claim\nt=0007 CREATE_NODE id=n_1124784c536c node_type=claim\nt=0008 CREATE_NODE id=n_5191f29cb274 node_type=claim\nt=0009 CREATE_NODE id=n_3856ea55b9f1 node_type=claim\nt=0010 CREATE_NODE id=n_f987a656f698 node_type=claim\nt=0011 CREATE_NODE id=n_56937b211934 node_type=claim\nt=0012 CREATE_NODE id=n_2aab667839d9 node_type=claim\nt=0013 CREATE_NODE id=n_f1a3b2b4e857 node_type=claim\nt=0014 CREATE_NODE id=n_abad2bb7cbe4 node_type=claim\nt=0015 CREATE_NODE id=n_766d75f940de node_type=claim\nt=0016 CREATE_NODE id=n_d29fb4cf0f9f node_type=claim\nt=0017 CREATE_NODE id=n_d4dc336a5587 node_type=claim\nt=0018 CREATE_NODE id=n_59d3cdc2b5e7 node_type=claim\nt=0019 CREATE_NODE id=n_3e983bef0c7d node_type=claim\nt=0020 ASSERT_ROOT node=n_f1a3b2b4e857 value=FALSE\nt=0021 ADD_EDGE edge_id=e_1db7dd1ee4bc source=n_2aab667839d9 edge_type=supports target=n_66c2d3d3d835\nt=0022 ADD_EDGE edge_id=e_35dcb5f71ecc source=n_cb228566ba5d edge_type=refutes target=n_f987a656f698\nt=0023 ADD_EDGE edge_id=e_0add191dd87c source=n_89b61439de4c edge_type=refutes target=n_59d3cdc2b5e7\nt=0024 ADD_EDGE edge_id=e_4815e3f8b376 source=n_1124784c536c edge_type=supports target=n_56937b211934\nt=0025 ADD_EDGE edge_id=e_c1e40d111f9d source=n_88c3b64db8ae edge_type=refutes target=n_b1bfe32947b8\nt=0026 ADD_EDGE edge_id=e_6d022eead61b source=n_cb228566ba5d edge_type=supports target=n_3856ea55b9f1\nt=0027 ADD_EDGE edge_id=e_9a4b7e4892d6 source=n_89b61439de4c edge_type=refutes target=n_88c3b64db8ae\nt=0028 ADD_EDGE edge_id=e_e0c60acd9cd2 source=n_2aab667839d9 edge_type=supports target=n_b90783669543\nt=0029 ADD_EDGE edge_id=e_148f9bbd019a source=n_3e983bef0c7d edge_type=supports target=n_2aab667839d9\nt=0030 ADD_EDGE edge_id=e_7d959dd1c9dc source=n_88c3b64db8ae edge_type=refutes target=n_5191f29cb274\nt=0031 ADD_EDGE edge_id=e_9f9e224eee79 source=n_cb228566ba5d edge_type=refutes target=n_1124784c536c\nt=0032 ADD_EDGE edge_id=e_047b3b16cc40 source=n_89b61439de4c edge_type=supports target=n_d4dc336a5587\nt=0033 ADD_EDGE edge_id=e_a43079617e57 source=n_b1bfe32947b8 edge_type=refutes target=n_766d75f940de\nt=0034 ADD_EDGE edge_id=e_fcb0cd1f03d8 source=n_f1a3b2b4e857 edge_type=supports target=n_d29fb4cf0f9f\nt=0035 ADD_EDGE edge_id=e_6205380fe31f source=n_3e983bef0c7d edge_type=supports target=n_c319ed451453\nt=0036 ADD_EDGE edge_id=e_8b8b39fe0def source=n_b1bfe32947b8 edge_type=supports target=n_abad2bb7cbe4\nt=0037 ADD_EDGE edge_id=e_f23e1b1e7e3b source=n_3e983bef0c7d edge_type=refutes target=n_cb228566ba5d\nt=0038 ADD_EDGE edge_id=e_728bbf80b2ee source=n_d29fb4cf0f9f edge_type=refutes target=n_89b61439de4c\nt=0039 QUERY source=n_f1a3b2b4e857 target=n_766d75f940de\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1900,"provenance":{"base_record_id":"train-d05-039","dataset":"livegraph-deterministic-parity-v3","depth":5,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d05-039","split":"train","variant":"clean"},"record_seed":478604754788885354,"render_sha256":"8ea72f9cd862ca7f3c03e43ab7a972ddc32abfe373ac71e824f018c0a8c263b9","representation":"linear_trace","semantic_sha256":"108c148caab6eba74d28b0470d2878078ea2d86c7277b183dad48890fbc4f7dd"}
{"char_count":3539,"item_id":"train-d05-040::linear_trace","label":"TRUE","lexical_token_proxy_count":608,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_01d037b274b0 node_type=claim\nt=0001 CREATE_NODE id=n_63de027dbf68 node_type=claim\nt=0002 CREATE_NODE id=n_67e88815f74d node_type=claim\nt=0003 CREATE_NODE id=n_f645ab3f06dc node_type=claim\nt=0004 CREATE_NODE id=n_8968b143120e node_type=claim\nt=0005 CREATE_NODE id=n_d0bc2a62aa5a node_type=claim\nt=0006 CREATE_NODE id=n_534cf96facee node_type=claim\nt=0007 CREATE_NODE id=n_fc757b47c19c node_type=claim\nt=0008 CREATE_NODE id=n_d38d90e4098c node_type=claim\nt=0009 CREATE_NODE id=n_b72e000763fa node_type=claim\nt=0010 CREATE_NODE id=n_2268821a242e node_type=claim\nt=0011 CREATE_NODE id=n_067321dd9052 node_type=claim\nt=0012 CREATE_NODE id=n_f2900be3ffb8 node_type=claim\nt=0013 CREATE_NODE id=n_1a26a694834e node_type=claim\nt=0014 CREATE_NODE id=n_24b7a309a039 node_type=claim\nt=0015 CREATE_NODE id=n_b964921ea273 node_type=claim\nt=0016 CREATE_NODE id=n_2a4a0ed0c34b node_type=claim\nt=0017 CREATE_NODE id=n_e380212d590b node_type=claim\nt=0018 CREATE_NODE id=n_26c9b716a54a node_type=claim\nt=0019 CREATE_NODE id=n_e086d7d788b9 node_type=claim\nt=0020 ASSERT_ROOT node=n_f645ab3f06dc value=TRUE\nt=0021 ADD_EDGE edge_id=e_77c602a3be0f source=n_d0bc2a62aa5a edge_type=refutes target=n_d38d90e4098c\nt=0022 ADD_EDGE edge_id=e_9bc2b7bfa0ed source=n_fc757b47c19c edge_type=supports target=n_1a26a694834e\nt=0023 ADD_EDGE edge_id=e_80910277a8fe source=n_24b7a309a039 edge_type=supports target=n_01d037b274b0\nt=0024 ADD_EDGE edge_id=e_5c128ace9b7a source=n_b72e000763fa edge_type=refutes target=n_067321dd9052\nt=0025 ADD_EDGE edge_id=e_1004edc5613d source=n_24b7a309a039 edge_type=refutes target=n_f2900be3ffb8\nt=0026 ADD_EDGE edge_id=e_71dcd587a981 source=n_d0bc2a62aa5a edge_type=supports target=n_63de027dbf68\nt=0027 ADD_EDGE edge_id=e_1a0680956a31 source=n_d38d90e4098c edge_type=supports target=n_8968b143120e\nt=0028 ADD_EDGE edge_id=e_60c0c4b8d3b2 source=n_e380212d590b edge_type=refutes target=n_26c9b716a54a\nt=0029 ADD_EDGE edge_id=e_90411a4e4b61 source=n_067321dd9052 edge_type=supports target=n_67e88815f74d\nt=0030 ADD_EDGE edge_id=e_ed726be7cd79 source=n_067321dd9052 edge_type=refutes target=n_b964921ea273\nt=0031 ADD_EDGE edge_id=e_9eb62f7569e6 source=n_01d037b274b0 edge_type=supports target=n_d0bc2a62aa5a\nt=0032 ADD_EDGE edge_id=e_10f8090f7b18 source=n_f645ab3f06dc edge_type=refutes target=n_24b7a309a039\nt=0033 ADD_EDGE edge_id=e_f8906a329a24 source=n_67e88815f74d edge_type=supports target=n_e380212d590b\nt=0034 ADD_EDGE edge_id=e_24b38fd7753e source=n_24b7a309a039 edge_type=supports target=n_2268821a242e\nt=0035 ADD_EDGE edge_id=e_dde212fda9c7 source=n_67e88815f74d edge_type=supports target=n_fc757b47c19c\nt=0036 ADD_EDGE edge_id=e_88a29432435f source=n_f645ab3f06dc edge_type=refutes target=n_e086d7d788b9\nt=0037 ADD_EDGE edge_id=e_bca1daa07dc2 source=n_67e88815f74d edge_type=refutes target=n_534cf96facee\nt=0038 ADD_EDGE edge_id=e_37edccc25384 source=n_b72e000763fa edge_type=refutes target=n_2a4a0ed0c34b\nt=0039 QUERY source=n_f645ab3f06dc target=n_8968b143120e\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1926,"provenance":{"base_record_id":"train-d05-040","dataset":"livegraph-deterministic-parity-v3","depth":5,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d05-040","split":"train","variant":"clean"},"record_seed":771325712313584763,"render_sha256":"4331bca99b3d3b895a095de82e0bca0ad6588ca6065621c83ef413d9c114812f","representation":"linear_trace","semantic_sha256":"eeabe33d8143a520353a07902f8761bd4f6d42fef7dfd1ff159436aa8e85aee5"}
{"char_count":3539,"item_id":"train-d05-041::linear_trace","label":"FALSE","lexical_token_proxy_count":608,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_458e99941eab node_type=claim\nt=0001 CREATE_NODE id=n_b3712fc8575d node_type=claim\nt=0002 CREATE_NODE id=n_6e78ccf7906e node_type=claim\nt=0003 CREATE_NODE id=n_07a2d9d6462e node_type=claim\nt=0004 CREATE_NODE id=n_3eb12f1cec3c node_type=claim\nt=0005 CREATE_NODE id=n_3ed7809b6f98 node_type=claim\nt=0006 CREATE_NODE id=n_0096b0a83d61 node_type=claim\nt=0007 CREATE_NODE id=n_fe476801b6e6 node_type=claim\nt=0008 CREATE_NODE id=n_2cabd937ebcc node_type=claim\nt=0009 CREATE_NODE id=n_f7ea8706b090 node_type=claim\nt=0010 CREATE_NODE id=n_d313a804480c node_type=claim\nt=0011 CREATE_NODE id=n_6d290cc97da2 node_type=claim\nt=0012 CREATE_NODE id=n_ad9985a573cc node_type=claim\nt=0013 CREATE_NODE id=n_755191f51e3f node_type=claim\nt=0014 CREATE_NODE id=n_2040c45eab4d node_type=claim\nt=0015 CREATE_NODE id=n_0663954fd6b2 node_type=claim\nt=0016 CREATE_NODE id=n_96f5ca7ea935 node_type=claim\nt=0017 CREATE_NODE id=n_f714d59f8913 node_type=claim\nt=0018 CREATE_NODE id=n_b8574347d023 node_type=claim\nt=0019 CREATE_NODE id=n_d0b1e8c1333f node_type=claim\nt=0020 ASSERT_ROOT node=n_2cabd937ebcc value=TRUE\nt=0021 ADD_EDGE edge_id=e_6dedb7aa5634 source=n_3eb12f1cec3c edge_type=supports target=n_755191f51e3f\nt=0022 ADD_EDGE edge_id=e_6d6ec8a9576d source=n_6d290cc97da2 edge_type=refutes target=n_3ed7809b6f98\nt=0023 ADD_EDGE edge_id=e_d2565cb35400 source=n_0096b0a83d61 edge_type=refutes target=n_b3712fc8575d\nt=0024 ADD_EDGE edge_id=e_6f5428efa10b source=n_6d290cc97da2 edge_type=refutes target=n_f714d59f8913\nt=0025 ADD_EDGE edge_id=e_6d4bf4632ac0 source=n_458e99941eab edge_type=supports target=n_07a2d9d6462e\nt=0026 ADD_EDGE edge_id=e_e707af767dcf source=n_ad9985a573cc edge_type=refutes target=n_96f5ca7ea935\nt=0027 ADD_EDGE edge_id=e_9378bf71cba1 source=n_2040c45eab4d edge_type=refutes target=n_d0b1e8c1333f\nt=0028 ADD_EDGE edge_id=e_926f4f98f3b4 source=n_07a2d9d6462e edge_type=supports target=n_6e78ccf7906e\nt=0029 ADD_EDGE edge_id=e_36c38032a5dd source=n_458e99941eab edge_type=refutes target=n_2040c45eab4d\nt=0030 ADD_EDGE edge_id=e_f63c9c5668cc source=n_6d290cc97da2 edge_type=refutes target=n_f7ea8706b090\nt=0031 ADD_EDGE edge_id=e_631d9f2f1d6a source=n_2040c45eab4d edge_type=supports target=n_3eb12f1cec3c\nt=0032 ADD_EDGE edge_id=e_c842133ea6fb source=n_458e99941eab edge_type=refutes target=n_fe476801b6e6\nt=0033 ADD_EDGE edge_id=e_56da89598d0c source=n_07a2d9d6462e edge_type=supports target=n_b8574347d023\nt=0034 ADD_EDGE edge_id=e_bbfa164f179f source=n_2cabd937ebcc edge_type=supports target=n_d313a804480c\nt=0035 ADD_EDGE edge_id=e_14102f608c5a source=n_b3712fc8575d edge_type=refutes target=n_6d290cc97da2\nt=0036 ADD_EDGE edge_id=e_be8f7c428837 source=n_b8574347d023 edge_type=supports target=n_0663954fd6b2\nt=0037 ADD_EDGE edge_id=e_b88a14b4feef source=n_3ed7809b6f98 edge_type=supports target=n_ad9985a573cc\nt=0038 ADD_EDGE edge_id=e_dbddaadb73ab source=n_2cabd937ebcc edge_type=supports target=n_0096b0a83d61\nt=0039 QUERY source=n_2cabd937ebcc target=n_ad9985a573cc\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1897,"provenance":{"base_record_id":"train-d05-041","dataset":"livegraph-deterministic-parity-v3","depth":5,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d05-041","split":"train","variant":"clean"},"record_seed":597278086477590399,"render_sha256":"2b320009ec3af1b4489b9adb9eb4dbe3f155da70883cf5735609755139e7265e","representation":"linear_trace","semantic_sha256":"479dc8a45149da0d5e9b08677e6fa114c4a78a9d296b446a3065e1a7eb3fa627"}
{"char_count":3540,"item_id":"train-d05-042::linear_trace","label":"TRUE","lexical_token_proxy_count":608,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_aa6b47bb410c node_type=claim\nt=0001 CREATE_NODE id=n_613d98b05cbf node_type=claim\nt=0002 CREATE_NODE id=n_c3f79e720d53 node_type=claim\nt=0003 CREATE_NODE id=n_e2a7924a8366 node_type=claim\nt=0004 CREATE_NODE id=n_c3e73c8f0553 node_type=claim\nt=0005 CREATE_NODE id=n_c3e39f929243 node_type=claim\nt=0006 CREATE_NODE id=n_1abf97b0eaff node_type=claim\nt=0007 CREATE_NODE id=n_78f2a69d4953 node_type=claim\nt=0008 CREATE_NODE id=n_537f08353942 node_type=claim\nt=0009 CREATE_NODE id=n_84fde4be87d1 node_type=claim\nt=0010 CREATE_NODE id=n_72875878ffe4 node_type=claim\nt=0011 CREATE_NODE id=n_81a823b1de38 node_type=claim\nt=0012 CREATE_NODE id=n_3eda89d1ca03 node_type=claim\nt=0013 CREATE_NODE id=n_8c1c893175b9 node_type=claim\nt=0014 CREATE_NODE id=n_3a0f8702f638 node_type=claim\nt=0015 CREATE_NODE id=n_a6d74e929565 node_type=claim\nt=0016 CREATE_NODE id=n_d64873351c53 node_type=claim\nt=0017 CREATE_NODE id=n_445276b6c985 node_type=claim\nt=0018 CREATE_NODE id=n_86d279f96323 node_type=claim\nt=0019 CREATE_NODE id=n_b472e9dae936 node_type=claim\nt=0020 ASSERT_ROOT node=n_c3e73c8f0553 value=FALSE\nt=0021 ADD_EDGE edge_id=e_68287c3e84a2 source=n_3a0f8702f638 edge_type=refutes target=n_537f08353942\nt=0022 ADD_EDGE edge_id=e_c66b5abf7830 source=n_613d98b05cbf edge_type=supports target=n_a6d74e929565\nt=0023 ADD_EDGE edge_id=e_27285aa46f13 source=n_3a0f8702f638 edge_type=supports target=n_72875878ffe4\nt=0024 ADD_EDGE edge_id=e_0539d4f6f013 source=n_d64873351c53 edge_type=supports target=n_8c1c893175b9\nt=0025 ADD_EDGE edge_id=e_6fc4120f4b12 source=n_445276b6c985 edge_type=refutes target=n_78f2a69d4953\nt=0026 ADD_EDGE edge_id=e_7ae9ec157e63 source=n_d64873351c53 edge_type=supports target=n_445276b6c985\nt=0027 ADD_EDGE edge_id=e_ab2eccb91481 source=n_537f08353942 edge_type=refutes target=n_e2a7924a8366\nt=0028 ADD_EDGE edge_id=e_236670bd96c1 source=n_1abf97b0eaff edge_type=supports target=n_84fde4be87d1\nt=0029 ADD_EDGE edge_id=e_4a3bae8d335a source=n_aa6b47bb410c edge_type=supports target=n_613d98b05cbf\nt=0030 ADD_EDGE edge_id=e_9161a0a8d4fd source=n_aa6b47bb410c edge_type=refutes target=n_3eda89d1ca03\nt=0031 ADD_EDGE edge_id=e_e209b8c31037 source=n_86d279f96323 edge_type=refutes target=n_1abf97b0eaff\nt=0032 ADD_EDGE edge_id=e_f883bfc61d6b source=n_e2a7924a8366 edge_type=supports target=n_d64873351c53\nt=0033 ADD_EDGE edge_id=e_12281991aed5 source=n_aa6b47bb410c edge_type=supports target=n_81a823b1de38\nt=0034 ADD_EDGE edge_id=e_9269b54c5909 source=n_613d98b05cbf edge_type=refutes target=n_c3f79e720d53\nt=0035 ADD_EDGE edge_id=e_66188ba839f5 source=n_c3e73c8f0553 edge_type=refutes target=n_3a0f8702f638\nt=0036 ADD_EDGE edge_id=e_673f6542ad00 source=n_d64873351c53 edge_type=supports target=n_b472e9dae936\nt=0037 ADD_EDGE edge_id=e_fedbe3f9c4fe source=n_613d98b05cbf edge_type=refutes target=n_c3e39f929243\nt=0038 ADD_EDGE edge_id=e_6e6f2ddeaa7a source=n_aa6b47bb410c edge_type=refutes target=n_86d279f96323\nt=0039 QUERY source=n_c3e73c8f0553 target=n_445276b6c985\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1933,"provenance":{"base_record_id":"train-d05-042","dataset":"livegraph-deterministic-parity-v3","depth":5,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d05-042","split":"train","variant":"clean"},"record_seed":368181757848392644,"render_sha256":"b62b7d462a82a7c4988e66f682de7c2adb13874c26c7547b8a19a7dfc748c327","representation":"linear_trace","semantic_sha256":"5653ad93e6b35546fe96b5258b8af0a1c80865bfdcdc295c8a4de922850af990"}
{"char_count":3540,"item_id":"train-d05-043::linear_trace","label":"FALSE","lexical_token_proxy_count":608,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_8306c00b45dd node_type=claim\nt=0001 CREATE_NODE id=n_ef0519f91e33 node_type=claim\nt=0002 CREATE_NODE id=n_804a34fd07ec node_type=claim\nt=0003 CREATE_NODE id=n_6f26c6701498 node_type=claim\nt=0004 CREATE_NODE id=n_c5ceca120533 node_type=claim\nt=0005 CREATE_NODE id=n_43f655f4d0ba node_type=claim\nt=0006 CREATE_NODE id=n_e17a2e535fb2 node_type=claim\nt=0007 CREATE_NODE id=n_acaef3e94fc4 node_type=claim\nt=0008 CREATE_NODE id=n_213f0d57dcc2 node_type=claim\nt=0009 CREATE_NODE id=n_d1768e3cf2ac node_type=claim\nt=0010 CREATE_NODE id=n_0dceb950e685 node_type=claim\nt=0011 CREATE_NODE id=n_22cf2c04fd14 node_type=claim\nt=0012 CREATE_NODE id=n_a6e4578c48f6 node_type=claim\nt=0013 CREATE_NODE id=n_84a9770e8e11 node_type=claim\nt=0014 CREATE_NODE id=n_8e154a8fe9f1 node_type=claim\nt=0015 CREATE_NODE id=n_66807383bb25 node_type=claim\nt=0016 CREATE_NODE id=n_f7c700e6d447 node_type=claim\nt=0017 CREATE_NODE id=n_43498bd82001 node_type=claim\nt=0018 CREATE_NODE id=n_33aec6bb02f1 node_type=claim\nt=0019 CREATE_NODE id=n_d05e99c481b4 node_type=claim\nt=0020 ASSERT_ROOT node=n_c5ceca120533 value=FALSE\nt=0021 ADD_EDGE edge_id=e_3350aa136e52 source=n_d05e99c481b4 edge_type=refutes target=n_22cf2c04fd14\nt=0022 ADD_EDGE edge_id=e_4101ceb74bde source=n_a6e4578c48f6 edge_type=refutes target=n_66807383bb25\nt=0023 ADD_EDGE edge_id=e_37880a152c2a source=n_804a34fd07ec edge_type=refutes target=n_6f26c6701498\nt=0024 ADD_EDGE edge_id=e_d03033dc42de source=n_c5ceca120533 edge_type=refutes target=n_ef0519f91e33\nt=0025 ADD_EDGE edge_id=e_61f9f3a86de6 source=n_d1768e3cf2ac edge_type=supports target=n_0dceb950e685\nt=0026 ADD_EDGE edge_id=e_635afc36ceb5 source=n_213f0d57dcc2 edge_type=supports target=n_d05e99c481b4\nt=0027 ADD_EDGE edge_id=e_17e938530e28 source=n_ef0519f91e33 edge_type=refutes target=n_8306c00b45dd\nt=0028 ADD_EDGE edge_id=e_9178154ca2cb source=n_804a34fd07ec edge_type=refutes target=n_43f655f4d0ba\nt=0029 ADD_EDGE edge_id=e_5c8c0a45a772 source=n_804a34fd07ec edge_type=supports target=n_8e154a8fe9f1\nt=0030 ADD_EDGE edge_id=e_375f93c77f71 source=n_6f26c6701498 edge_type=refutes target=n_213f0d57dcc2\nt=0031 ADD_EDGE edge_id=e_0bff28ffd9c2 source=n_a6e4578c48f6 edge_type=supports target=n_f7c700e6d447\nt=0032 ADD_EDGE edge_id=e_1a271ed4933e source=n_84a9770e8e11 edge_type=supports target=n_a6e4578c48f6\nt=0033 ADD_EDGE edge_id=e_3f81dc566c24 source=n_8306c00b45dd edge_type=supports target=n_d1768e3cf2ac\nt=0034 ADD_EDGE edge_id=e_4874a1458e8d source=n_804a34fd07ec edge_type=refutes target=n_acaef3e94fc4\nt=0035 ADD_EDGE edge_id=e_39ac49238724 source=n_d1768e3cf2ac edge_type=supports target=n_84a9770e8e11\nt=0036 ADD_EDGE edge_id=e_bd811cca1142 source=n_43498bd82001 edge_type=refutes target=n_e17a2e535fb2\nt=0037 ADD_EDGE edge_id=e_14c6b828c499 source=n_a6e4578c48f6 edge_type=supports target=n_33aec6bb02f1\nt=0038 ADD_EDGE edge_id=e_68a4cbaf9a0b source=n_43f655f4d0ba edge_type=supports target=n_43498bd82001\nt=0039 QUERY source=n_c5ceca120533 target=n_a6e4578c48f6\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1910,"provenance":{"base_record_id":"train-d05-043","dataset":"livegraph-deterministic-parity-v3","depth":5,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d05-043","split":"train","variant":"clean"},"record_seed":641645922665134828,"render_sha256":"c5b623c78c63d9319437114153426f57df073889d5e806931fff9e0f4e1425ea","representation":"linear_trace","semantic_sha256":"3ac7c642d82f552688d01863ef4cbaf96dd3a7736032c7ac4ecadc38b68db758"}
{"char_count":3539,"item_id":"train-d05-044::linear_trace","label":"TRUE","lexical_token_proxy_count":608,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_9ea5d923218f node_type=claim\nt=0001 CREATE_NODE id=n_5fc375158076 node_type=claim\nt=0002 CREATE_NODE id=n_26598ad91de0 node_type=claim\nt=0003 CREATE_NODE id=n_ce4ea06b43ac node_type=claim\nt=0004 CREATE_NODE id=n_a79ff4439424 node_type=claim\nt=0005 CREATE_NODE id=n_8b27a643c6a6 node_type=claim\nt=0006 CREATE_NODE id=n_7823663158f7 node_type=claim\nt=0007 CREATE_NODE id=n_423189c5db7e node_type=claim\nt=0008 CREATE_NODE id=n_4bbe7fd217f8 node_type=claim\nt=0009 CREATE_NODE id=n_66a2b1d8c8c0 node_type=claim\nt=0010 CREATE_NODE id=n_26f5b5ef19e9 node_type=claim\nt=0011 CREATE_NODE id=n_e6696309801c node_type=claim\nt=0012 CREATE_NODE id=n_8b07c5fd8586 node_type=claim\nt=0013 CREATE_NODE id=n_a22e8e11d8da node_type=claim\nt=0014 CREATE_NODE id=n_d375f539cb32 node_type=claim\nt=0015 CREATE_NODE id=n_eba02864d183 node_type=claim\nt=0016 CREATE_NODE id=n_fd406014f426 node_type=claim\nt=0017 CREATE_NODE id=n_c1e7d6f1b68a node_type=claim\nt=0018 CREATE_NODE id=n_4c7cbe9e7c46 node_type=claim\nt=0019 CREATE_NODE id=n_70a3ca40f8c3 node_type=claim\nt=0020 ASSERT_ROOT node=n_c1e7d6f1b68a value=TRUE\nt=0021 ADD_EDGE edge_id=e_3f9f02be5363 source=n_7823663158f7 edge_type=supports target=n_9ea5d923218f\nt=0022 ADD_EDGE edge_id=e_959199480789 source=n_26f5b5ef19e9 edge_type=refutes target=n_423189c5db7e\nt=0023 ADD_EDGE edge_id=e_56461e0a72cf source=n_26598ad91de0 edge_type=refutes target=n_4c7cbe9e7c46\nt=0024 ADD_EDGE edge_id=e_22f2667adb35 source=n_c1e7d6f1b68a edge_type=supports target=n_ce4ea06b43ac\nt=0025 ADD_EDGE edge_id=e_e1fc72566c8d source=n_a79ff4439424 edge_type=refutes target=n_66a2b1d8c8c0\nt=0026 ADD_EDGE edge_id=e_a7d9596a67a4 source=n_a79ff4439424 edge_type=supports target=n_4bbe7fd217f8\nt=0027 ADD_EDGE edge_id=e_a2c58dbc0a8c source=n_70a3ca40f8c3 edge_type=refutes target=n_26f5b5ef19e9\nt=0028 ADD_EDGE edge_id=e_1e30d214eb9b source=n_4bbe7fd217f8 edge_type=supports target=n_8b07c5fd8586\nt=0029 ADD_EDGE edge_id=e_30f0028a8c0e source=n_423189c5db7e edge_type=refutes target=n_d375f539cb32\nt=0030 ADD_EDGE edge_id=e_2757b7bacbd4 source=n_26598ad91de0 edge_type=supports target=n_70a3ca40f8c3\nt=0031 ADD_EDGE edge_id=e_fe71011ae525 source=n_66a2b1d8c8c0 edge_type=supports target=n_eba02864d183\nt=0032 ADD_EDGE edge_id=e_b3b29c6678db source=n_8b07c5fd8586 edge_type=supports target=n_a22e8e11d8da\nt=0033 ADD_EDGE edge_id=e_67eef169def4 source=n_a79ff4439424 edge_type=refutes target=n_fd406014f426\nt=0034 ADD_EDGE edge_id=e_4e3a4d288b9c source=n_ce4ea06b43ac edge_type=refutes target=n_e6696309801c\nt=0035 ADD_EDGE edge_id=e_377cb21e8c38 source=n_70a3ca40f8c3 edge_type=supports target=n_5fc375158076\nt=0036 ADD_EDGE edge_id=e_75d7823917a1 source=n_ce4ea06b43ac edge_type=supports target=n_26598ad91de0\nt=0037 ADD_EDGE edge_id=e_65b97168dd9f source=n_66a2b1d8c8c0 edge_type=refutes target=n_8b27a643c6a6\nt=0038 ADD_EDGE edge_id=e_257b211f445f source=n_66a2b1d8c8c0 edge_type=refutes target=n_7823663158f7\nt=0039 QUERY source=n_c1e7d6f1b68a target=n_423189c5db7e\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1917,"provenance":{"base_record_id":"train-d05-044","dataset":"livegraph-deterministic-parity-v3","depth":5,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d05-044","split":"train","variant":"clean"},"record_seed":1110774947949527859,"render_sha256":"a022fb56ad7bf67cc8a1f2098cb335e2bd72d1751f1175e88027d70a6507d33a","representation":"linear_trace","semantic_sha256":"a75a12512b72ab2934e8406bfbb65ba53f5167b86b8b47306d34242989e4881f"}
{"char_count":3539,"item_id":"train-d05-045::linear_trace","label":"FALSE","lexical_token_proxy_count":608,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_2fe25619d921 node_type=claim\nt=0001 CREATE_NODE id=n_dc152abb3360 node_type=claim\nt=0002 CREATE_NODE id=n_dac6d0dd5ae8 node_type=claim\nt=0003 CREATE_NODE id=n_b9f4f3638638 node_type=claim\nt=0004 CREATE_NODE id=n_a9a06d837dd5 node_type=claim\nt=0005 CREATE_NODE id=n_b64a134dc7d3 node_type=claim\nt=0006 CREATE_NODE id=n_c0dfeaf3882d node_type=claim\nt=0007 CREATE_NODE id=n_7b2bdd2c4027 node_type=claim\nt=0008 CREATE_NODE id=n_bd12d57ff829 node_type=claim\nt=0009 CREATE_NODE id=n_6dbb8eafdde6 node_type=claim\nt=0010 CREATE_NODE id=n_4c9f9bbaf22d node_type=claim\nt=0011 CREATE_NODE id=n_47d2d5a8f1b3 node_type=claim\nt=0012 CREATE_NODE id=n_beeb31d02a3e node_type=claim\nt=0013 CREATE_NODE id=n_9d348d6031f9 node_type=claim\nt=0014 CREATE_NODE id=n_30eb8ca52a5f node_type=claim\nt=0015 CREATE_NODE id=n_655aaa5995a4 node_type=claim\nt=0016 CREATE_NODE id=n_bf1771306fc2 node_type=claim\nt=0017 CREATE_NODE id=n_7896e39f70dd node_type=claim\nt=0018 CREATE_NODE id=n_34456fd937bc node_type=claim\nt=0019 CREATE_NODE id=n_72c4e69c7ab5 node_type=claim\nt=0020 ASSERT_ROOT node=n_a9a06d837dd5 value=TRUE\nt=0021 ADD_EDGE edge_id=e_244146a52c6d source=n_2fe25619d921 edge_type=supports target=n_b64a134dc7d3\nt=0022 ADD_EDGE edge_id=e_e4245a894b36 source=n_34456fd937bc edge_type=refutes target=n_c0dfeaf3882d\nt=0023 ADD_EDGE edge_id=e_21fa9aa46498 source=n_beeb31d02a3e edge_type=refutes target=n_dc152abb3360\nt=0024 ADD_EDGE edge_id=e_7703624f5cc2 source=n_dac6d0dd5ae8 edge_type=refutes target=n_bd12d57ff829\nt=0025 ADD_EDGE edge_id=e_6e114018eb71 source=n_47d2d5a8f1b3 edge_type=supports target=n_bf1771306fc2\nt=0026 ADD_EDGE edge_id=e_ab82e81a8b85 source=n_dac6d0dd5ae8 edge_type=supports target=n_b9f4f3638638\nt=0027 ADD_EDGE edge_id=e_d28a45de4759 source=n_47d2d5a8f1b3 edge_type=supports target=n_72c4e69c7ab5\nt=0028 ADD_EDGE edge_id=e_0b3cb0cdbe97 source=n_72c4e69c7ab5 edge_type=supports target=n_655aaa5995a4\nt=0029 ADD_EDGE edge_id=e_2e11d95120b3 source=n_dc152abb3360 edge_type=refutes target=n_7b2bdd2c4027\nt=0030 ADD_EDGE edge_id=e_cdcd45afefba source=n_34456fd937bc edge_type=refutes target=n_2fe25619d921\nt=0031 ADD_EDGE edge_id=e_c81f9d453197 source=n_34456fd937bc edge_type=refutes target=n_4c9f9bbaf22d\nt=0032 ADD_EDGE edge_id=e_80afdf4e1dfb source=n_72c4e69c7ab5 edge_type=supports target=n_30eb8ca52a5f\nt=0033 ADD_EDGE edge_id=e_5c48c88f3ea2 source=n_6dbb8eafdde6 edge_type=supports target=n_dac6d0dd5ae8\nt=0034 ADD_EDGE edge_id=e_7ce369045a8d source=n_a9a06d837dd5 edge_type=supports target=n_6dbb8eafdde6\nt=0035 ADD_EDGE edge_id=e_4617b10f2362 source=n_2fe25619d921 edge_type=refutes target=n_47d2d5a8f1b3\nt=0036 ADD_EDGE edge_id=e_4cd6cca092e3 source=n_a9a06d837dd5 edge_type=supports target=n_9d348d6031f9\nt=0037 ADD_EDGE edge_id=e_3fa3fe0e6cad source=n_7896e39f70dd edge_type=refutes target=n_beeb31d02a3e\nt=0038 ADD_EDGE edge_id=e_71d941b61686 source=n_dac6d0dd5ae8 edge_type=refutes target=n_7896e39f70dd\nt=0039 QUERY source=n_a9a06d837dd5 target=n_dc152abb3360\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1867,"provenance":{"base_record_id":"train-d05-045","dataset":"livegraph-deterministic-parity-v3","depth":5,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d05-045","split":"train","variant":"clean"},"record_seed":490995761767753148,"render_sha256":"b981d49361e0ffed888d3f4a8ea0fe319fd255ecb1d949e55d45ad5506a6ce1f","representation":"linear_trace","semantic_sha256":"9933a2d1108ec7621b3e2184001b43e7db3585f88413f92bda7d5b67370ff188"}
{"char_count":3540,"item_id":"train-d05-046::linear_trace","label":"TRUE","lexical_token_proxy_count":608,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_ad391ded70c8 node_type=claim\nt=0001 CREATE_NODE id=n_db61a050bf78 node_type=claim\nt=0002 CREATE_NODE id=n_39893dfc6055 node_type=claim\nt=0003 CREATE_NODE id=n_046832b4a080 node_type=claim\nt=0004 CREATE_NODE id=n_165ebf3b6400 node_type=claim\nt=0005 CREATE_NODE id=n_06b02079ef9a node_type=claim\nt=0006 CREATE_NODE id=n_a68d7e9e06b6 node_type=claim\nt=0007 CREATE_NODE id=n_d625583220af node_type=claim\nt=0008 CREATE_NODE id=n_87ca1199ba82 node_type=claim\nt=0009 CREATE_NODE id=n_8da4bb7c5a3e node_type=claim\nt=0010 CREATE_NODE id=n_12bde891ad2e node_type=claim\nt=0011 CREATE_NODE id=n_2a9bf1b0038b node_type=claim\nt=0012 CREATE_NODE id=n_0ce5ebfb5fd0 node_type=claim\nt=0013 CREATE_NODE id=n_e12b9d4e34ee node_type=claim\nt=0014 CREATE_NODE id=n_7fe03cc6d7da node_type=claim\nt=0015 CREATE_NODE id=n_19736b504818 node_type=claim\nt=0016 CREATE_NODE id=n_f15714d4dcdc node_type=claim\nt=0017 CREATE_NODE id=n_6e8fba58ef61 node_type=claim\nt=0018 CREATE_NODE id=n_93100a9db938 node_type=claim\nt=0019 CREATE_NODE id=n_eea41a87396e node_type=claim\nt=0020 ASSERT_ROOT node=n_2a9bf1b0038b value=FALSE\nt=0021 ADD_EDGE edge_id=e_b6f9decc50ed source=n_e12b9d4e34ee edge_type=supports target=n_f15714d4dcdc\nt=0022 ADD_EDGE edge_id=e_1673c6b4fa32 source=n_d625583220af edge_type=refutes target=n_7fe03cc6d7da\nt=0023 ADD_EDGE edge_id=e_61d37a6bdf55 source=n_046832b4a080 edge_type=refutes target=n_87ca1199ba82\nt=0024 ADD_EDGE edge_id=e_380d452c675b source=n_165ebf3b6400 edge_type=refutes target=n_93100a9db938\nt=0025 ADD_EDGE edge_id=e_ff33371e0628 source=n_2a9bf1b0038b edge_type=refutes target=n_12bde891ad2e\nt=0026 ADD_EDGE edge_id=e_36b106a24c34 source=n_12bde891ad2e edge_type=supports target=n_39893dfc6055\nt=0027 ADD_EDGE edge_id=e_1c921cd03537 source=n_046832b4a080 edge_type=supports target=n_e12b9d4e34ee\nt=0028 ADD_EDGE edge_id=e_7d94be2cf8e2 source=n_87ca1199ba82 edge_type=supports target=n_6e8fba58ef61\nt=0029 ADD_EDGE edge_id=e_7874ba9946c7 source=n_d625583220af edge_type=supports target=n_ad391ded70c8\nt=0030 ADD_EDGE edge_id=e_e59dc103f496 source=n_2a9bf1b0038b edge_type=supports target=n_19736b504818\nt=0031 ADD_EDGE edge_id=e_b185b798fe28 source=n_165ebf3b6400 edge_type=supports target=n_d625583220af\nt=0032 ADD_EDGE edge_id=e_d6a00736179b source=n_0ce5ebfb5fd0 edge_type=refutes target=n_eea41a87396e\nt=0033 ADD_EDGE edge_id=e_04e30189f8b4 source=n_87ca1199ba82 edge_type=supports target=n_db61a050bf78\nt=0034 ADD_EDGE edge_id=e_f05e49ab3277 source=n_eea41a87396e edge_type=refutes target=n_06b02079ef9a\nt=0035 ADD_EDGE edge_id=e_135c6554f7b1 source=n_e12b9d4e34ee edge_type=refutes target=n_8da4bb7c5a3e\nt=0036 ADD_EDGE edge_id=e_e20c79504ec4 source=n_39893dfc6055 edge_type=refutes target=n_165ebf3b6400\nt=0037 ADD_EDGE edge_id=e_493715bfcf40 source=n_db61a050bf78 edge_type=supports target=n_0ce5ebfb5fd0\nt=0038 ADD_EDGE edge_id=e_492e86941c7a source=n_7fe03cc6d7da edge_type=refutes target=n_a68d7e9e06b6\nt=0039 QUERY source=n_2a9bf1b0038b target=n_7fe03cc6d7da\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":1891,"provenance":{"base_record_id":"train-d05-046","dataset":"livegraph-deterministic-parity-v3","depth":5,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d05-046","split":"train","variant":"clean"},"record_seed":845574283447265974,"render_sha256":"02998f0ba043f18d4334c9aa1938502e3042a3817ed375336838571b29344c4c","representation":"linear_trace","semantic_sha256":"77838ee4e639e2f3fc8f769b769bfb0423ac2b4c56b4ed5302d318e67d15932c"}
{"char_count":3540,"item_id":"train-d05-047::linear_trace","label":"FALSE","lexical_token_proxy_count":608,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_6895f949ae48 node_type=claim\nt=0001 CREATE_NODE id=n_3d5c20939aed node_type=claim\nt=0002 CREATE_NODE id=n_a988ff0a1ae1 node_type=claim\nt=0003 CREATE_NODE id=n_cc66a353913f node_type=claim\nt=0004 CREATE_NODE id=n_f1faf9a84bc9 node_type=claim\nt=0005 CREATE_NODE id=n_9d3e1e12e412 node_type=claim\nt=0006 CREATE_NODE id=n_a1b2eec7b105 node_type=claim\nt=0007 CREATE_NODE id=n_ec0b6951ccae node_type=claim\nt=0008 CREATE_NODE id=n_27bd1fbe296e node_type=claim\nt=0009 CREATE_NODE id=n_a953cc386bc1 node_type=claim\nt=0010 CREATE_NODE id=n_758a41aee018 node_type=claim\nt=0011 CREATE_NODE id=n_fdfcf080d9d5 node_type=claim\nt=0012 CREATE_NODE id=n_22b070f1e512 node_type=claim\nt=0013 CREATE_NODE id=n_1cf34dab9a09 node_type=claim\nt=0014 CREATE_NODE id=n_3f1719581fb3 node_type=claim\nt=0015 CREATE_NODE id=n_32ddb7817e24 node_type=claim\nt=0016 CREATE_NODE id=n_9e8b16597f0e node_type=claim\nt=0017 CREATE_NODE id=n_d930a5463c12 node_type=claim\nt=0018 CREATE_NODE id=n_647d2e3b0b35 node_type=claim\nt=0019 CREATE_NODE id=n_30e1501da054 node_type=claim\nt=0020 ASSERT_ROOT node=n_d930a5463c12 value=FALSE\nt=0021 ADD_EDGE edge_id=e_92d6a7f3efa8 source=n_6895f949ae48 edge_type=refutes target=n_a953cc386bc1\nt=0022 ADD_EDGE edge_id=e_75d53f7a52a0 source=n_6895f949ae48 edge_type=refutes target=n_758a41aee018\nt=0023 ADD_EDGE edge_id=e_27e946b129bd source=n_32ddb7817e24 edge_type=refutes target=n_30e1501da054\nt=0024 ADD_EDGE edge_id=e_8ab2bc15c0e8 source=n_3f1719581fb3 edge_type=supports target=n_fdfcf080d9d5\nt=0025 ADD_EDGE edge_id=e_b354241fa761 source=n_32ddb7817e24 edge_type=supports target=n_647d2e3b0b35\nt=0026 ADD_EDGE edge_id=e_a71ec15292e8 source=n_fdfcf080d9d5 edge_type=refutes target=n_a1b2eec7b105\nt=0027 ADD_EDGE edge_id=e_fd973cd8a3de source=n_647d2e3b0b35 edge_type=refutes target=n_9d3e1e12e412\nt=0028 ADD_EDGE edge_id=e_35a292e9d3b4 source=n_d930a5463c12 edge_type=refutes target=n_32ddb7817e24\nt=0029 ADD_EDGE edge_id=e_627b1860c36e source=n_a953cc386bc1 edge_type=supports target=n_f1faf9a84bc9\nt=0030 ADD_EDGE edge_id=e_44fd0343a53f source=n_3f1719581fb3 edge_type=refutes target=n_1cf34dab9a09\nt=0031 ADD_EDGE edge_id=e_2d772d9aa24b source=n_a988ff0a1ae1 edge_type=supports target=n_9e8b16597f0e\nt=0032 ADD_EDGE edge_id=e_5ab1fc3c42b0 source=n_cc66a353913f edge_type=refutes target=n_3d5c20939aed\nt=0033 ADD_EDGE edge_id=e_1b396ccd0920 source=n_9d3e1e12e412 edge_type=supports target=n_3f1719581fb3\nt=0034 ADD_EDGE edge_id=e_87829aa4c427 source=n_6895f949ae48 edge_type=supports target=n_cc66a353913f\nt=0035 ADD_EDGE edge_id=e_a3e0e9820bd5 source=n_f1faf9a84bc9 edge_type=supports target=n_a988ff0a1ae1\nt=0036 ADD_EDGE edge_id=e_d2c20d15d03f source=n_d930a5463c12 edge_type=supports target=n_ec0b6951ccae\nt=0037 ADD_EDGE edge_id=e_4aeb7187bc51 source=n_a953cc386bc1 edge_type=supports target=n_22b070f1e512\nt=0038 ADD_EDGE edge_id=e_136ccdbc2355 source=n_f1faf9a84bc9 edge_type=refutes target=n_27bd1fbe296e\nt=0039 QUERY source=n_d930a5463c12 target=n_fdfcf080d9d5\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":1903,"provenance":{"base_record_id":"train-d05-047","dataset":"livegraph-deterministic-parity-v3","depth":5,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d05-047","split":"train","variant":"clean"},"record_seed":491500147046563226,"render_sha256":"c72f3332bcb4ead1ec0246fdee070cfd479e8935630e06ae1589275592059b61","representation":"linear_trace","semantic_sha256":"9475102f0b715e63927a6ccc8be95cc4cad24e0be4cf729d6efd2ac93c97fe1a"}
{"char_count":3848,"item_id":"train-d06-000::linear_trace","label":"TRUE","lexical_token_proxy_count":660,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_22559eed784c node_type=claim\nt=0001 CREATE_NODE id=n_da2c4ea6f7c9 node_type=claim\nt=0002 CREATE_NODE id=n_e1193c04d92c node_type=claim\nt=0003 CREATE_NODE id=n_58db4a659293 node_type=claim\nt=0004 CREATE_NODE id=n_177abacfc783 node_type=claim\nt=0005 CREATE_NODE id=n_b9994707cc41 node_type=claim\nt=0006 CREATE_NODE id=n_a8637aa099f3 node_type=claim\nt=0007 CREATE_NODE id=n_3c0e2167ccb9 node_type=claim\nt=0008 CREATE_NODE id=n_078e214e6b17 node_type=claim\nt=0009 CREATE_NODE id=n_5e90da7cbc30 node_type=claim\nt=0010 CREATE_NODE id=n_6622c86d927f node_type=claim\nt=0011 CREATE_NODE id=n_bbb34051159f node_type=claim\nt=0012 CREATE_NODE id=n_cea3512b3eba node_type=claim\nt=0013 CREATE_NODE id=n_67fec7875410 node_type=claim\nt=0014 CREATE_NODE id=n_97ae71b4cd8c node_type=claim\nt=0015 CREATE_NODE id=n_61825d61e123 node_type=claim\nt=0016 CREATE_NODE id=n_c94d4572b84f node_type=claim\nt=0017 CREATE_NODE id=n_0c8d1da45b45 node_type=claim\nt=0018 CREATE_NODE id=n_03def4a4c822 node_type=claim\nt=0019 CREATE_NODE id=n_316786f7a2b3 node_type=claim\nt=0020 CREATE_NODE id=n_d306ea1f95a2 node_type=claim\nt=0021 CREATE_NODE id=n_a2d84fb0a76b node_type=claim\nt=0022 ASSERT_ROOT node=n_22559eed784c value=TRUE\nt=0023 ADD_EDGE edge_id=e_cd5a81dc9df6 source=n_6622c86d927f edge_type=supports target=n_61825d61e123\nt=0024 ADD_EDGE edge_id=e_f3e1ef50a4d9 source=n_58db4a659293 edge_type=refutes target=n_3c0e2167ccb9\nt=0025 ADD_EDGE edge_id=e_c3c39b763bce source=n_22559eed784c edge_type=supports target=n_c94d4572b84f\nt=0026 ADD_EDGE edge_id=e_f088685fcae2 source=n_6622c86d927f edge_type=supports target=n_da2c4ea6f7c9\nt=0027 ADD_EDGE edge_id=e_c41f47deccdd source=n_bbb34051159f edge_type=refutes target=n_e1193c04d92c\nt=0028 ADD_EDGE edge_id=e_c6bb1d20598e source=n_6622c86d927f edge_type=supports target=n_316786f7a2b3\nt=0029 ADD_EDGE edge_id=e_614b1dcd9aaf source=n_22559eed784c edge_type=refutes target=n_bbb34051159f\nt=0030 ADD_EDGE edge_id=e_f3017aa5288f source=n_e1193c04d92c edge_type=refutes target=n_67fec7875410\nt=0031 ADD_EDGE edge_id=e_a9302e4fd8cd source=n_6622c86d927f edge_type=refutes target=n_0c8d1da45b45\nt=0032 ADD_EDGE edge_id=e_931cea2e7cb1 source=n_a8637aa099f3 edge_type=supports target=n_078e214e6b17\nt=0033 ADD_EDGE edge_id=e_5a7ed5ea3274 source=n_e1193c04d92c edge_type=refutes target=n_d306ea1f95a2\nt=0034 ADD_EDGE edge_id=e_556a65ddb202 source=n_316786f7a2b3 edge_type=supports target=n_cea3512b3eba\nt=0035 ADD_EDGE edge_id=e_4351f8899560 source=n_bbb34051159f edge_type=supports target=n_177abacfc783\nt=0036 ADD_EDGE edge_id=e_2341bb4755aa source=n_6622c86d927f edge_type=refutes target=n_58db4a659293\nt=0037 ADD_EDGE edge_id=e_110839fca1d5 source=n_6622c86d927f edge_type=supports target=n_5e90da7cbc30\nt=0038 ADD_EDGE edge_id=e_85871ea0d415 source=n_5e90da7cbc30 edge_type=refutes target=n_b9994707cc41\nt=0039 ADD_EDGE edge_id=e_57668b7c0076 source=n_67fec7875410 edge_type=supports target=n_a8637aa099f3\nt=0040 ADD_EDGE edge_id=e_093803e137cf source=n_a2d84fb0a76b edge_type=refutes target=n_03def4a4c822\nt=0041 ADD_EDGE edge_id=e_29a562f235a1 source=n_6622c86d927f edge_type=refutes target=n_97ae71b4cd8c\nt=0042 ADD_EDGE edge_id=e_3ce853889a5c source=n_a8637aa099f3 edge_type=supports target=n_a2d84fb0a76b\nt=0043 QUERY source=n_22559eed784c target=n_03def4a4c822\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2088,"provenance":{"base_record_id":"train-d06-000","dataset":"livegraph-deterministic-parity-v3","depth":6,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d06-000","split":"train","variant":"clean"},"record_seed":375497406301097169,"render_sha256":"80443bd3f072f83f7b46b450e7648b3c1df025bd4605dae609fbbc4a9dd4bfa8","representation":"linear_trace","semantic_sha256":"7194e52270e2381edc938a8a23db6f6b7a743ce0b72c130b924823134916b6b9"}
{"char_count":3848,"item_id":"train-d06-001::linear_trace","label":"FALSE","lexical_token_proxy_count":660,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_fb5bef6ab81f node_type=claim\nt=0001 CREATE_NODE id=n_efab0b305940 node_type=claim\nt=0002 CREATE_NODE id=n_cb8084c4487c node_type=claim\nt=0003 CREATE_NODE id=n_60344cc2146c node_type=claim\nt=0004 CREATE_NODE id=n_34f04d384189 node_type=claim\nt=0005 CREATE_NODE id=n_73ff6ae5e078 node_type=claim\nt=0006 CREATE_NODE id=n_f37087b3c23e node_type=claim\nt=0007 CREATE_NODE id=n_a989d99fa79b node_type=claim\nt=0008 CREATE_NODE id=n_3261e31996a3 node_type=claim\nt=0009 CREATE_NODE id=n_07848fa6868a node_type=claim\nt=0010 CREATE_NODE id=n_64fdd50d4b90 node_type=claim\nt=0011 CREATE_NODE id=n_cf96e860125c node_type=claim\nt=0012 CREATE_NODE id=n_9402c4b00216 node_type=claim\nt=0013 CREATE_NODE id=n_a786bed859ba node_type=claim\nt=0014 CREATE_NODE id=n_94f69bffbcf4 node_type=claim\nt=0015 CREATE_NODE id=n_4ea27137cd0d node_type=claim\nt=0016 CREATE_NODE id=n_ec5f95711ca5 node_type=claim\nt=0017 CREATE_NODE id=n_0500824e8a6c node_type=claim\nt=0018 CREATE_NODE id=n_2d4a691ac463 node_type=claim\nt=0019 CREATE_NODE id=n_b493288d9ca1 node_type=claim\nt=0020 CREATE_NODE id=n_064194537e26 node_type=claim\nt=0021 CREATE_NODE id=n_e2506f57903d node_type=claim\nt=0022 ASSERT_ROOT node=n_e2506f57903d value=TRUE\nt=0023 ADD_EDGE edge_id=e_f5902839881b source=n_9402c4b00216 edge_type=supports target=n_f37087b3c23e\nt=0024 ADD_EDGE edge_id=e_622a4f788919 source=n_efab0b305940 edge_type=supports target=n_0500824e8a6c\nt=0025 ADD_EDGE edge_id=e_28213a75884f source=n_2d4a691ac463 edge_type=refutes target=n_064194537e26\nt=0026 ADD_EDGE edge_id=e_55d71a4640f6 source=n_cb8084c4487c edge_type=supports target=n_efab0b305940\nt=0027 ADD_EDGE edge_id=e_259ac4c23a56 source=n_efab0b305940 edge_type=refutes target=n_a989d99fa79b\nt=0028 ADD_EDGE edge_id=e_6f532f8b2a58 source=n_0500824e8a6c edge_type=refutes target=n_73ff6ae5e078\nt=0029 ADD_EDGE edge_id=e_3abe6bffc869 source=n_4ea27137cd0d edge_type=refutes target=n_b493288d9ca1\nt=0030 ADD_EDGE edge_id=e_10857781ac0f source=n_f37087b3c23e edge_type=supports target=n_64fdd50d4b90\nt=0031 ADD_EDGE edge_id=e_6022605adf2c source=n_f37087b3c23e edge_type=refutes target=n_ec5f95711ca5\nt=0032 ADD_EDGE edge_id=e_73d14fe577e0 source=n_f37087b3c23e edge_type=supports target=n_34f04d384189\nt=0033 ADD_EDGE edge_id=e_e470989895f6 source=n_f37087b3c23e edge_type=supports target=n_07848fa6868a\nt=0034 ADD_EDGE edge_id=e_486f53523c06 source=n_f37087b3c23e edge_type=refutes target=n_4ea27137cd0d\nt=0035 ADD_EDGE edge_id=e_89562f49b383 source=n_73ff6ae5e078 edge_type=supports target=n_a786bed859ba\nt=0036 ADD_EDGE edge_id=e_1114fae6e7e8 source=n_2d4a691ac463 edge_type=refutes target=n_cb8084c4487c\nt=0037 ADD_EDGE edge_id=e_7ce0908ff7c0 source=n_cb8084c4487c edge_type=supports target=n_cf96e860125c\nt=0038 ADD_EDGE edge_id=e_5ce4a4261726 source=n_e2506f57903d edge_type=refutes target=n_2d4a691ac463\nt=0039 ADD_EDGE edge_id=e_3d3bd208044c source=n_9402c4b00216 edge_type=refutes target=n_3261e31996a3\nt=0040 ADD_EDGE edge_id=e_01f5fbf7b421 source=n_ec5f95711ca5 edge_type=refutes target=n_60344cc2146c\nt=0041 ADD_EDGE edge_id=e_c0f1f17ef153 source=n_0500824e8a6c edge_type=supports target=n_fb5bef6ab81f\nt=0042 ADD_EDGE edge_id=e_c7879c8f727c source=n_ec5f95711ca5 edge_type=supports target=n_94f69bffbcf4\nt=0043 QUERY source=n_e2506f57903d target=n_a786bed859ba\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2105,"provenance":{"base_record_id":"train-d06-001","dataset":"livegraph-deterministic-parity-v3","depth":6,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d06-001","split":"train","variant":"clean"},"record_seed":550632654465375012,"render_sha256":"d378de7cc21cbb71d238510c8596c247a7fdbc7e1809bfad2478064830f07aff","representation":"linear_trace","semantic_sha256":"fdf6ef5b998e58a77707bd433da37efdef0c94218d3d11b647d119c3d551cd3d"}
{"char_count":3849,"item_id":"train-d06-002::linear_trace","label":"TRUE","lexical_token_proxy_count":660,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_d7b44e9dbf70 node_type=claim\nt=0001 CREATE_NODE id=n_5e63fd914456 node_type=claim\nt=0002 CREATE_NODE id=n_567af193fec2 node_type=claim\nt=0003 CREATE_NODE id=n_f059502d0bc9 node_type=claim\nt=0004 CREATE_NODE id=n_7df83459c4e7 node_type=claim\nt=0005 CREATE_NODE id=n_64844c3586f2 node_type=claim\nt=0006 CREATE_NODE id=n_73147a28cafb node_type=claim\nt=0007 CREATE_NODE id=n_69ff2037dcd4 node_type=claim\nt=0008 CREATE_NODE id=n_45fcefeb6ab5 node_type=claim\nt=0009 CREATE_NODE id=n_0768e146463a node_type=claim\nt=0010 CREATE_NODE id=n_86d2bf7dcab0 node_type=claim\nt=0011 CREATE_NODE id=n_883bd35259ef node_type=claim\nt=0012 CREATE_NODE id=n_9c69326b54c6 node_type=claim\nt=0013 CREATE_NODE id=n_17b35ae6ef23 node_type=claim\nt=0014 CREATE_NODE id=n_450f165fa0c4 node_type=claim\nt=0015 CREATE_NODE id=n_92638c85312e node_type=claim\nt=0016 CREATE_NODE id=n_8678bf1271b0 node_type=claim\nt=0017 CREATE_NODE id=n_792753868f46 node_type=claim\nt=0018 CREATE_NODE id=n_4a9294eb4501 node_type=claim\nt=0019 CREATE_NODE id=n_a52fad96c646 node_type=claim\nt=0020 CREATE_NODE id=n_0986b0ae5537 node_type=claim\nt=0021 CREATE_NODE id=n_4f34884ef311 node_type=claim\nt=0022 ASSERT_ROOT node=n_8678bf1271b0 value=FALSE\nt=0023 ADD_EDGE edge_id=e_84da2cf48585 source=n_883bd35259ef edge_type=refutes target=n_4a9294eb4501\nt=0024 ADD_EDGE edge_id=e_0efad786f108 source=n_92638c85312e edge_type=refutes target=n_883bd35259ef\nt=0025 ADD_EDGE edge_id=e_ff4f9a5d3aa3 source=n_567af193fec2 edge_type=refutes target=n_450f165fa0c4\nt=0026 ADD_EDGE edge_id=e_6dc417817994 source=n_0768e146463a edge_type=supports target=n_567af193fec2\nt=0027 ADD_EDGE edge_id=e_e70c2c936178 source=n_f059502d0bc9 edge_type=refutes target=n_0986b0ae5537\nt=0028 ADD_EDGE edge_id=e_3964b20375bb source=n_883bd35259ef edge_type=supports target=n_69ff2037dcd4\nt=0029 ADD_EDGE edge_id=e_206f4f755650 source=n_69ff2037dcd4 edge_type=supports target=n_9c69326b54c6\nt=0030 ADD_EDGE edge_id=e_ca7d6c3af205 source=n_4a9294eb4501 edge_type=refutes target=n_45fcefeb6ab5\nt=0031 ADD_EDGE edge_id=e_b31b914109db source=n_92638c85312e edge_type=supports target=n_86d2bf7dcab0\nt=0032 ADD_EDGE edge_id=e_03e3630064a7 source=n_8678bf1271b0 edge_type=supports target=n_5e63fd914456\nt=0033 ADD_EDGE edge_id=e_7ee7f18f63fe source=n_64844c3586f2 edge_type=supports target=n_17b35ae6ef23\nt=0034 ADD_EDGE edge_id=e_927643cccf49 source=n_92638c85312e edge_type=refutes target=n_a52fad96c646\nt=0035 ADD_EDGE edge_id=e_3b9d3ab1b516 source=n_0768e146463a edge_type=refutes target=n_73147a28cafb\nt=0036 ADD_EDGE edge_id=e_b22f1d3928c3 source=n_450f165fa0c4 edge_type=refutes target=n_d7b44e9dbf70\nt=0037 ADD_EDGE edge_id=e_1eea48115195 source=n_d7b44e9dbf70 edge_type=supports target=n_64844c3586f2\nt=0038 ADD_EDGE edge_id=e_51d842feda1f source=n_8678bf1271b0 edge_type=refutes target=n_4f34884ef311\nt=0039 ADD_EDGE edge_id=e_de38818e1804 source=n_4f34884ef311 edge_type=supports target=n_0768e146463a\nt=0040 ADD_EDGE edge_id=e_900df381f540 source=n_883bd35259ef edge_type=supports target=n_f059502d0bc9\nt=0041 ADD_EDGE edge_id=e_40f467ecdce8 source=n_69ff2037dcd4 edge_type=refutes target=n_792753868f46\nt=0042 ADD_EDGE edge_id=e_845f9e756f02 source=n_8678bf1271b0 edge_type=supports target=n_7df83459c4e7\nt=0043 QUERY source=n_8678bf1271b0 target=n_64844c3586f2\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2090,"provenance":{"base_record_id":"train-d06-002","dataset":"livegraph-deterministic-parity-v3","depth":6,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d06-002","split":"train","variant":"clean"},"record_seed":148746813505301551,"render_sha256":"b3200723d0a222beef978435c87f399ea15c6b81793d2426ae48c4f214744cf7","representation":"linear_trace","semantic_sha256":"c839810f4cbb38ecfd12c48f7b6e34a14e0634ccb4de26131d25b309b4fc84f5"}
{"char_count":3849,"item_id":"train-d06-003::linear_trace","label":"FALSE","lexical_token_proxy_count":660,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_f7146f0d9595 node_type=claim\nt=0001 CREATE_NODE id=n_eed97709887e node_type=claim\nt=0002 CREATE_NODE id=n_d945eaa33d29 node_type=claim\nt=0003 CREATE_NODE id=n_86d98b2e5d48 node_type=claim\nt=0004 CREATE_NODE id=n_0ba5ff81cef2 node_type=claim\nt=0005 CREATE_NODE id=n_8f83df973e0e node_type=claim\nt=0006 CREATE_NODE id=n_c2418ccffe5c node_type=claim\nt=0007 CREATE_NODE id=n_86f288539e7c node_type=claim\nt=0008 CREATE_NODE id=n_cfb850b26079 node_type=claim\nt=0009 CREATE_NODE id=n_e880fa9d0b38 node_type=claim\nt=0010 CREATE_NODE id=n_5c77ac4cdaec node_type=claim\nt=0011 CREATE_NODE id=n_7b76243e0163 node_type=claim\nt=0012 CREATE_NODE id=n_d5a58faeab00 node_type=claim\nt=0013 CREATE_NODE id=n_c58261003093 node_type=claim\nt=0014 CREATE_NODE id=n_ae32d84a3012 node_type=claim\nt=0015 CREATE_NODE id=n_8f5ac678633a node_type=claim\nt=0016 CREATE_NODE id=n_5e0a1bfd9843 node_type=claim\nt=0017 CREATE_NODE id=n_681e886ac24b node_type=claim\nt=0018 CREATE_NODE id=n_87de8dcab02c node_type=claim\nt=0019 CREATE_NODE id=n_6b5abe11a982 node_type=claim\nt=0020 CREATE_NODE id=n_fbd7a08524a9 node_type=claim\nt=0021 CREATE_NODE id=n_d1b24c4f2ab1 node_type=claim\nt=0022 ASSERT_ROOT node=n_d5a58faeab00 value=FALSE\nt=0023 ADD_EDGE edge_id=e_4a0a2aac5be9 source=n_d5a58faeab00 edge_type=refutes target=n_0ba5ff81cef2\nt=0024 ADD_EDGE edge_id=e_66824b037bda source=n_d1b24c4f2ab1 edge_type=refutes target=n_c2418ccffe5c\nt=0025 ADD_EDGE edge_id=e_d96afe48de92 source=n_d1b24c4f2ab1 edge_type=refutes target=n_c58261003093\nt=0026 ADD_EDGE edge_id=e_2bc7efc5e4de source=n_6b5abe11a982 edge_type=supports target=n_d1b24c4f2ab1\nt=0027 ADD_EDGE edge_id=e_e0e18c0d1c79 source=n_d1b24c4f2ab1 edge_type=supports target=n_5c77ac4cdaec\nt=0028 ADD_EDGE edge_id=e_3ddfe6a92b17 source=n_681e886ac24b edge_type=supports target=n_86f288539e7c\nt=0029 ADD_EDGE edge_id=e_6f684eee32a9 source=n_cfb850b26079 edge_type=supports target=n_87de8dcab02c\nt=0030 ADD_EDGE edge_id=e_e39dcc2b3a04 source=n_7b76243e0163 edge_type=supports target=n_6b5abe11a982\nt=0031 ADD_EDGE edge_id=e_c7dcea3023c4 source=n_0ba5ff81cef2 edge_type=refutes target=n_7b76243e0163\nt=0032 ADD_EDGE edge_id=e_4000b5e412e1 source=n_d945eaa33d29 edge_type=refutes target=n_e880fa9d0b38\nt=0033 ADD_EDGE edge_id=e_2508f776e9d3 source=n_5c77ac4cdaec edge_type=supports target=n_86d98b2e5d48\nt=0034 ADD_EDGE edge_id=e_f791beb1802c source=n_cfb850b26079 edge_type=refutes target=n_8f83df973e0e\nt=0035 ADD_EDGE edge_id=e_2f50df360bd9 source=n_5e0a1bfd9843 edge_type=supports target=n_d945eaa33d29\nt=0036 ADD_EDGE edge_id=e_f1ce85f1b93e source=n_681e886ac24b edge_type=supports target=n_cfb850b26079\nt=0037 ADD_EDGE edge_id=e_6ba279241d43 source=n_6b5abe11a982 edge_type=refutes target=n_fbd7a08524a9\nt=0038 ADD_EDGE edge_id=e_874d4295d578 source=n_5e0a1bfd9843 edge_type=refutes target=n_ae32d84a3012\nt=0039 ADD_EDGE edge_id=e_9ca99fb1b6a4 source=n_0ba5ff81cef2 edge_type=refutes target=n_eed97709887e\nt=0040 ADD_EDGE edge_id=e_9062d431a333 source=n_5e0a1bfd9843 edge_type=refutes target=n_8f5ac678633a\nt=0041 ADD_EDGE edge_id=e_49a01d61bf32 source=n_5e0a1bfd9843 edge_type=supports target=n_681e886ac24b\nt=0042 ADD_EDGE edge_id=e_0c462c780f6b source=n_e880fa9d0b38 edge_type=supports target=n_f7146f0d9595\nt=0043 QUERY source=n_d5a58faeab00 target=n_86d98b2e5d48\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2074,"provenance":{"base_record_id":"train-d06-003","dataset":"livegraph-deterministic-parity-v3","depth":6,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d06-003","split":"train","variant":"clean"},"record_seed":95899578001404917,"render_sha256":"0babce43c7412dffe28cdf2f308f46309c7bf6a3c39e58d0b2472e90f7b09353","representation":"linear_trace","semantic_sha256":"5af73fd00d22164150d171b4d3579df40566b13c087eb595eafa60b6a4aa6830"}
{"char_count":3848,"item_id":"train-d06-004::linear_trace","label":"TRUE","lexical_token_proxy_count":660,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_930d117ced34 node_type=claim\nt=0001 CREATE_NODE id=n_9b9a07245e1b node_type=claim\nt=0002 CREATE_NODE id=n_80a0e9c8d473 node_type=claim\nt=0003 CREATE_NODE id=n_31b5fdd836df node_type=claim\nt=0004 CREATE_NODE id=n_59a0e90c3fef node_type=claim\nt=0005 CREATE_NODE id=n_4e66cdb7bf5b node_type=claim\nt=0006 CREATE_NODE id=n_83104b744444 node_type=claim\nt=0007 CREATE_NODE id=n_0aa2fdaea929 node_type=claim\nt=0008 CREATE_NODE id=n_3b3a6c68f89f node_type=claim\nt=0009 CREATE_NODE id=n_b22185b450ef node_type=claim\nt=0010 CREATE_NODE id=n_da617ad98c6a node_type=claim\nt=0011 CREATE_NODE id=n_37617b9f64c8 node_type=claim\nt=0012 CREATE_NODE id=n_752bfbbf0fd5 node_type=claim\nt=0013 CREATE_NODE id=n_1941cc9131a4 node_type=claim\nt=0014 CREATE_NODE id=n_2a05f330e3d5 node_type=claim\nt=0015 CREATE_NODE id=n_948430d90aeb node_type=claim\nt=0016 CREATE_NODE id=n_c4526bbf521c node_type=claim\nt=0017 CREATE_NODE id=n_8013fa1f9dbb node_type=claim\nt=0018 CREATE_NODE id=n_344f24fae75e node_type=claim\nt=0019 CREATE_NODE id=n_368ceac66e9b node_type=claim\nt=0020 CREATE_NODE id=n_1c65da2b48de node_type=claim\nt=0021 CREATE_NODE id=n_9e990976887f node_type=claim\nt=0022 ASSERT_ROOT node=n_0aa2fdaea929 value=TRUE\nt=0023 ADD_EDGE edge_id=e_8776ae5af808 source=n_368ceac66e9b edge_type=supports target=n_752bfbbf0fd5\nt=0024 ADD_EDGE edge_id=e_9bf1a256f367 source=n_c4526bbf521c edge_type=refutes target=n_31b5fdd836df\nt=0025 ADD_EDGE edge_id=e_05ec259e0a02 source=n_9e990976887f edge_type=refutes target=n_da617ad98c6a\nt=0026 ADD_EDGE edge_id=e_07cde65d86ac source=n_0aa2fdaea929 edge_type=supports target=n_80a0e9c8d473\nt=0027 ADD_EDGE edge_id=e_94a78d1ac77d source=n_31b5fdd836df edge_type=supports target=n_930d117ced34\nt=0028 ADD_EDGE edge_id=e_8baa5fdd3b5c source=n_2a05f330e3d5 edge_type=refutes target=n_9b9a07245e1b\nt=0029 ADD_EDGE edge_id=e_ef8294c5a60c source=n_948430d90aeb edge_type=supports target=n_2a05f330e3d5\nt=0030 ADD_EDGE edge_id=e_17cb9307cf1f source=n_0aa2fdaea929 edge_type=refutes target=n_59a0e90c3fef\nt=0031 ADD_EDGE edge_id=e_adbae295e662 source=n_752bfbbf0fd5 edge_type=refutes target=n_8013fa1f9dbb\nt=0032 ADD_EDGE edge_id=e_37256579ee8b source=n_8013fa1f9dbb edge_type=supports target=n_1941cc9131a4\nt=0033 ADD_EDGE edge_id=e_8fad22f7e272 source=n_80a0e9c8d473 edge_type=refutes target=n_368ceac66e9b\nt=0034 ADD_EDGE edge_id=e_83c44f9a4632 source=n_c4526bbf521c edge_type=refutes target=n_9e990976887f\nt=0035 ADD_EDGE edge_id=e_33dbe0d05b61 source=n_752bfbbf0fd5 edge_type=supports target=n_3b3a6c68f89f\nt=0036 ADD_EDGE edge_id=e_98d748c7ca77 source=n_31b5fdd836df edge_type=refutes target=n_344f24fae75e\nt=0037 ADD_EDGE edge_id=e_a4a84ea5929c source=n_752bfbbf0fd5 edge_type=supports target=n_83104b744444\nt=0038 ADD_EDGE edge_id=e_3d12d1d1eb35 source=n_c4526bbf521c edge_type=refutes target=n_948430d90aeb\nt=0039 ADD_EDGE edge_id=e_484f8d5049d4 source=n_31b5fdd836df edge_type=refutes target=n_4e66cdb7bf5b\nt=0040 ADD_EDGE edge_id=e_23d9eab75b6b source=n_1941cc9131a4 edge_type=supports target=n_1c65da2b48de\nt=0041 ADD_EDGE edge_id=e_c5d623aa862e source=n_930d117ced34 edge_type=supports target=n_b22185b450ef\nt=0042 ADD_EDGE edge_id=e_5dbc90b02b52 source=n_1941cc9131a4 edge_type=supports target=n_37617b9f64c8\nt=0043 QUERY source=n_0aa2fdaea929 target=n_37617b9f64c8\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2073,"provenance":{"base_record_id":"train-d06-004","dataset":"livegraph-deterministic-parity-v3","depth":6,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d06-004","split":"train","variant":"clean"},"record_seed":967476783082404832,"render_sha256":"62d3239259dfc8178ca85875f52ba5dcf78cab85eba525b5d02fa6ef88357ce3","representation":"linear_trace","semantic_sha256":"6f44aef5782bfa8bd20f43dc7fbf62b1f3591b3c3a36da616324572bead92558"}
{"char_count":3848,"item_id":"train-d06-005::linear_trace","label":"FALSE","lexical_token_proxy_count":660,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_ae9c2b722156 node_type=claim\nt=0001 CREATE_NODE id=n_502b443b64e6 node_type=claim\nt=0002 CREATE_NODE id=n_9119b4f252d4 node_type=claim\nt=0003 CREATE_NODE id=n_472f82b70643 node_type=claim\nt=0004 CREATE_NODE id=n_81f247054752 node_type=claim\nt=0005 CREATE_NODE id=n_82671d883eb4 node_type=claim\nt=0006 CREATE_NODE id=n_bb7ee1776063 node_type=claim\nt=0007 CREATE_NODE id=n_ecc90eee2197 node_type=claim\nt=0008 CREATE_NODE id=n_d47f6fe81824 node_type=claim\nt=0009 CREATE_NODE id=n_5feead3ab624 node_type=claim\nt=0010 CREATE_NODE id=n_2f1b3818128b node_type=claim\nt=0011 CREATE_NODE id=n_87632eaaad7a node_type=claim\nt=0012 CREATE_NODE id=n_bfa849f5a844 node_type=claim\nt=0013 CREATE_NODE id=n_0174a1a1efee node_type=claim\nt=0014 CREATE_NODE id=n_1a1bba0edf3c node_type=claim\nt=0015 CREATE_NODE id=n_f3eda39d1bcc node_type=claim\nt=0016 CREATE_NODE id=n_531266f0a149 node_type=claim\nt=0017 CREATE_NODE id=n_cc89b1cd8400 node_type=claim\nt=0018 CREATE_NODE id=n_a6d9374431ef node_type=claim\nt=0019 CREATE_NODE id=n_72ac6415f08b node_type=claim\nt=0020 CREATE_NODE id=n_db86872c2674 node_type=claim\nt=0021 CREATE_NODE id=n_3388aab99323 node_type=claim\nt=0022 ASSERT_ROOT node=n_f3eda39d1bcc value=TRUE\nt=0023 ADD_EDGE edge_id=e_9415e88a1ef9 source=n_87632eaaad7a edge_type=supports target=n_a6d9374431ef\nt=0024 ADD_EDGE edge_id=e_01349b3f718a source=n_f3eda39d1bcc edge_type=refutes target=n_531266f0a149\nt=0025 ADD_EDGE edge_id=e_b16f3880080e source=n_ae9c2b722156 edge_type=supports target=n_502b443b64e6\nt=0026 ADD_EDGE edge_id=e_972cb19560a0 source=n_0174a1a1efee edge_type=refutes target=n_ecc90eee2197\nt=0027 ADD_EDGE edge_id=e_5e7c57816dc5 source=n_502b443b64e6 edge_type=refutes target=n_cc89b1cd8400\nt=0028 ADD_EDGE edge_id=e_24be1fddbd61 source=n_cc89b1cd8400 edge_type=supports target=n_bfa849f5a844\nt=0029 ADD_EDGE edge_id=e_4280bd7e8870 source=n_87632eaaad7a edge_type=supports target=n_5feead3ab624\nt=0030 ADD_EDGE edge_id=e_246dd08ad4dd source=n_ae9c2b722156 edge_type=supports target=n_bb7ee1776063\nt=0031 ADD_EDGE edge_id=e_e24aff46cfc2 source=n_a6d9374431ef edge_type=supports target=n_81f247054752\nt=0032 ADD_EDGE edge_id=e_2ceb53dd2516 source=n_1a1bba0edf3c edge_type=supports target=n_3388aab99323\nt=0033 ADD_EDGE edge_id=e_f8c59182f11d source=n_72ac6415f08b edge_type=supports target=n_0174a1a1efee\nt=0034 ADD_EDGE edge_id=e_7d64ea725214 source=n_cc89b1cd8400 edge_type=refutes target=n_72ac6415f08b\nt=0035 ADD_EDGE edge_id=e_e7d30220b1b7 source=n_87632eaaad7a edge_type=supports target=n_db86872c2674\nt=0036 ADD_EDGE edge_id=e_653f9993aa79 source=n_db86872c2674 edge_type=refutes target=n_472f82b70643\nt=0037 ADD_EDGE edge_id=e_905ae475d6d6 source=n_1a1bba0edf3c edge_type=refutes target=n_82671d883eb4\nt=0038 ADD_EDGE edge_id=e_42955298dd27 source=n_f3eda39d1bcc edge_type=supports target=n_ae9c2b722156\nt=0039 ADD_EDGE edge_id=e_a78e1e357bfe source=n_472f82b70643 edge_type=refutes target=n_2f1b3818128b\nt=0040 ADD_EDGE edge_id=e_a5a14014bf33 source=n_f3eda39d1bcc edge_type=refutes target=n_d47f6fe81824\nt=0041 ADD_EDGE edge_id=e_e22dce1b784f source=n_472f82b70643 edge_type=refutes target=n_9119b4f252d4\nt=0042 ADD_EDGE edge_id=e_c5ccfd58138c source=n_2f1b3818128b edge_type=refutes target=n_1a1bba0edf3c\nt=0043 QUERY source=n_f3eda39d1bcc target=n_ecc90eee2197\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2061,"provenance":{"base_record_id":"train-d06-005","dataset":"livegraph-deterministic-parity-v3","depth":6,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d06-005","split":"train","variant":"clean"},"record_seed":265234027321194015,"render_sha256":"6e5dc4561383a5d5c0dc79b6ce5c2ddcc4cef2445ef83dd9ca52f0d60e1a2a07","representation":"linear_trace","semantic_sha256":"21e702d7dd51f841b052e580fca66c8ca6615ac49f6282314fe2b07e6900083e"}
{"char_count":3849,"item_id":"train-d06-006::linear_trace","label":"TRUE","lexical_token_proxy_count":660,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_b68d9f42dfc9 node_type=claim\nt=0001 CREATE_NODE id=n_a32d7d3c4756 node_type=claim\nt=0002 CREATE_NODE id=n_dd2fa51e80e3 node_type=claim\nt=0003 CREATE_NODE id=n_4ad367f026bb node_type=claim\nt=0004 CREATE_NODE id=n_6db183fba32e node_type=claim\nt=0005 CREATE_NODE id=n_3dbe9c74b0c2 node_type=claim\nt=0006 CREATE_NODE id=n_6139e7f2032f node_type=claim\nt=0007 CREATE_NODE id=n_511158a88b51 node_type=claim\nt=0008 CREATE_NODE id=n_ebea2e4368b8 node_type=claim\nt=0009 CREATE_NODE id=n_2e58d6009229 node_type=claim\nt=0010 CREATE_NODE id=n_7bf98c351944 node_type=claim\nt=0011 CREATE_NODE id=n_ccce1d1958a3 node_type=claim\nt=0012 CREATE_NODE id=n_02655c981bbe node_type=claim\nt=0013 CREATE_NODE id=n_f8bc43843107 node_type=claim\nt=0014 CREATE_NODE id=n_f83944ee6114 node_type=claim\nt=0015 CREATE_NODE id=n_bebcf93032e0 node_type=claim\nt=0016 CREATE_NODE id=n_3c9d12addbd1 node_type=claim\nt=0017 CREATE_NODE id=n_f3f37628ed3a node_type=claim\nt=0018 CREATE_NODE id=n_5c8f5a8946f4 node_type=claim\nt=0019 CREATE_NODE id=n_a7c4c5881e06 node_type=claim\nt=0020 CREATE_NODE id=n_a95f763e85dc node_type=claim\nt=0021 CREATE_NODE id=n_1345ae6ff1dc node_type=claim\nt=0022 ASSERT_ROOT node=n_02655c981bbe value=FALSE\nt=0023 ADD_EDGE edge_id=e_80981fe91745 source=n_6db183fba32e edge_type=supports target=n_dd2fa51e80e3\nt=0024 ADD_EDGE edge_id=e_2d43040e5fc6 source=n_5c8f5a8946f4 edge_type=refutes target=n_4ad367f026bb\nt=0025 ADD_EDGE edge_id=e_936b33a0461e source=n_f8bc43843107 edge_type=refutes target=n_bebcf93032e0\nt=0026 ADD_EDGE edge_id=e_2cfdc0b060d9 source=n_f83944ee6114 edge_type=supports target=n_7bf98c351944\nt=0027 ADD_EDGE edge_id=e_258118be05d5 source=n_511158a88b51 edge_type=refutes target=n_ccce1d1958a3\nt=0028 ADD_EDGE edge_id=e_49d12c5e2ffa source=n_f83944ee6114 edge_type=supports target=n_f3f37628ed3a\nt=0029 ADD_EDGE edge_id=e_a1bcabda35ad source=n_ccce1d1958a3 edge_type=refutes target=n_a95f763e85dc\nt=0030 ADD_EDGE edge_id=e_79dc59eb0560 source=n_1345ae6ff1dc edge_type=refutes target=n_ebea2e4368b8\nt=0031 ADD_EDGE edge_id=e_383fab53b9de source=n_f8bc43843107 edge_type=refutes target=n_6db183fba32e\nt=0032 ADD_EDGE edge_id=e_af57b8c2a295 source=n_a7c4c5881e06 edge_type=refutes target=n_a32d7d3c4756\nt=0033 ADD_EDGE edge_id=e_160e29f80785 source=n_a95f763e85dc edge_type=supports target=n_a7c4c5881e06\nt=0034 ADD_EDGE edge_id=e_69f59b0998f7 source=n_02655c981bbe edge_type=supports target=n_511158a88b51\nt=0035 ADD_EDGE edge_id=e_c975185cf4d0 source=n_511158a88b51 edge_type=supports target=n_3c9d12addbd1\nt=0036 ADD_EDGE edge_id=e_7ef709319be0 source=n_2e58d6009229 edge_type=refutes target=n_6139e7f2032f\nt=0037 ADD_EDGE edge_id=e_14dd04222c6a source=n_a32d7d3c4756 edge_type=supports target=n_f83944ee6114\nt=0038 ADD_EDGE edge_id=e_8e7fab06b8d1 source=n_f8bc43843107 edge_type=refutes target=n_1345ae6ff1dc\nt=0039 ADD_EDGE edge_id=e_71bfee06f25c source=n_f83944ee6114 edge_type=refutes target=n_b68d9f42dfc9\nt=0040 ADD_EDGE edge_id=e_fa9bcf68a7b5 source=n_bebcf93032e0 edge_type=supports target=n_3dbe9c74b0c2\nt=0041 ADD_EDGE edge_id=e_547df1126267 source=n_5c8f5a8946f4 edge_type=supports target=n_f8bc43843107\nt=0042 ADD_EDGE edge_id=e_4a9564a8ffac source=n_f8bc43843107 edge_type=supports target=n_2e58d6009229\nt=0043 QUERY source=n_02655c981bbe target=n_f83944ee6114\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2083,"provenance":{"base_record_id":"train-d06-006","dataset":"livegraph-deterministic-parity-v3","depth":6,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d06-006","split":"train","variant":"clean"},"record_seed":276635741563176020,"render_sha256":"62da524f0892dee3b82b4a20e5e7f7f055bae7b11abfda2941d17c89a44af205","representation":"linear_trace","semantic_sha256":"f91d727becf25906f7f6c4abe9d4f027e19b2d3106665fffed39cabeb4decd88"}
{"char_count":3849,"item_id":"train-d06-007::linear_trace","label":"FALSE","lexical_token_proxy_count":660,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_6467db0d3663 node_type=claim\nt=0001 CREATE_NODE id=n_d3b518d7deef node_type=claim\nt=0002 CREATE_NODE id=n_7ad8da15a6e9 node_type=claim\nt=0003 CREATE_NODE id=n_dcae81bba110 node_type=claim\nt=0004 CREATE_NODE id=n_af50fddc861e node_type=claim\nt=0005 CREATE_NODE id=n_dc05ee178188 node_type=claim\nt=0006 CREATE_NODE id=n_4fa790f4bceb node_type=claim\nt=0007 CREATE_NODE id=n_a608b13a5c7c node_type=claim\nt=0008 CREATE_NODE id=n_105d64db2555 node_type=claim\nt=0009 CREATE_NODE id=n_7a771ad99c55 node_type=claim\nt=0010 CREATE_NODE id=n_dbc75fb2f8d8 node_type=claim\nt=0011 CREATE_NODE id=n_ea641a265ebd node_type=claim\nt=0012 CREATE_NODE id=n_38e45a11e61f node_type=claim\nt=0013 CREATE_NODE id=n_d7b457462b64 node_type=claim\nt=0014 CREATE_NODE id=n_5481007f5ac9 node_type=claim\nt=0015 CREATE_NODE id=n_8997bb4ea618 node_type=claim\nt=0016 CREATE_NODE id=n_dbf83fa2d32f node_type=claim\nt=0017 CREATE_NODE id=n_87b390f02eb0 node_type=claim\nt=0018 CREATE_NODE id=n_39aac5dae937 node_type=claim\nt=0019 CREATE_NODE id=n_26cd12a45b8f node_type=claim\nt=0020 CREATE_NODE id=n_b6acc670b20f node_type=claim\nt=0021 CREATE_NODE id=n_f60dd73d1778 node_type=claim\nt=0022 ASSERT_ROOT node=n_7a771ad99c55 value=FALSE\nt=0023 ADD_EDGE edge_id=e_58b2ef7fd4e3 source=n_b6acc670b20f edge_type=refutes target=n_d7b457462b64\nt=0024 ADD_EDGE edge_id=e_cf4e0cd140af source=n_39aac5dae937 edge_type=refutes target=n_5481007f5ac9\nt=0025 ADD_EDGE edge_id=e_db10dce0a220 source=n_ea641a265ebd edge_type=supports target=n_dbf83fa2d32f\nt=0026 ADD_EDGE edge_id=e_46fefa83b6fd source=n_4fa790f4bceb edge_type=refutes target=n_b6acc670b20f\nt=0027 ADD_EDGE edge_id=e_6e39ccaf3de6 source=n_87b390f02eb0 edge_type=supports target=n_dbc75fb2f8d8\nt=0028 ADD_EDGE edge_id=e_b14f9d58d8f6 source=n_b6acc670b20f edge_type=supports target=n_ea641a265ebd\nt=0029 ADD_EDGE edge_id=e_774c4a8f5752 source=n_7a771ad99c55 edge_type=supports target=n_d3b518d7deef\nt=0030 ADD_EDGE edge_id=e_b9095a529dcf source=n_7a771ad99c55 edge_type=supports target=n_f60dd73d1778\nt=0031 ADD_EDGE edge_id=e_d2893a712f26 source=n_dbf83fa2d32f edge_type=supports target=n_af50fddc861e\nt=0032 ADD_EDGE edge_id=e_1e1fbad46acf source=n_7a771ad99c55 edge_type=supports target=n_8997bb4ea618\nt=0033 ADD_EDGE edge_id=e_9e0a3e588f08 source=n_6467db0d3663 edge_type=supports target=n_105d64db2555\nt=0034 ADD_EDGE edge_id=e_460694b52761 source=n_af50fddc861e edge_type=refutes target=n_dc05ee178188\nt=0035 ADD_EDGE edge_id=e_60582ce91fe8 source=n_dbc75fb2f8d8 edge_type=supports target=n_26cd12a45b8f\nt=0036 ADD_EDGE edge_id=e_d372a0faab9c source=n_87b390f02eb0 edge_type=refutes target=n_6467db0d3663\nt=0037 ADD_EDGE edge_id=e_87ceaa994066 source=n_26cd12a45b8f edge_type=supports target=n_38e45a11e61f\nt=0038 ADD_EDGE edge_id=e_12438b07606d source=n_dcae81bba110 edge_type=refutes target=n_39aac5dae937\nt=0039 ADD_EDGE edge_id=e_019d17306d75 source=n_d3b518d7deef edge_type=refutes target=n_4fa790f4bceb\nt=0040 ADD_EDGE edge_id=e_3f619d99173e source=n_87b390f02eb0 edge_type=refutes target=n_a608b13a5c7c\nt=0041 ADD_EDGE edge_id=e_6caac704c1ef source=n_6467db0d3663 edge_type=refutes target=n_dcae81bba110\nt=0042 ADD_EDGE edge_id=e_d35b370e9426 source=n_87b390f02eb0 edge_type=refutes target=n_7ad8da15a6e9\nt=0043 QUERY source=n_7a771ad99c55 target=n_af50fddc861e\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2062,"provenance":{"base_record_id":"train-d06-007","dataset":"livegraph-deterministic-parity-v3","depth":6,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d06-007","split":"train","variant":"clean"},"record_seed":81414082740816714,"render_sha256":"63d3480adaddcdbf054312e3e0edda1f1707563743caab8e284cf2a32fa74c22","representation":"linear_trace","semantic_sha256":"5569db6ab27b10363324f86b943876a4a4b7b868391e56b298ace83c39cf4239"}
{"char_count":3848,"item_id":"train-d06-008::linear_trace","label":"TRUE","lexical_token_proxy_count":660,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_c0b041425c1f node_type=claim\nt=0001 CREATE_NODE id=n_ecd896f596f7 node_type=claim\nt=0002 CREATE_NODE id=n_373ec44868ff node_type=claim\nt=0003 CREATE_NODE id=n_0f898f9de86e node_type=claim\nt=0004 CREATE_NODE id=n_962bbc58ddb6 node_type=claim\nt=0005 CREATE_NODE id=n_1dc97698dc5f node_type=claim\nt=0006 CREATE_NODE id=n_985e9f3acf6a node_type=claim\nt=0007 CREATE_NODE id=n_64b8e50eafd3 node_type=claim\nt=0008 CREATE_NODE id=n_e5ca9e8fbee7 node_type=claim\nt=0009 CREATE_NODE id=n_a746f27cef1d node_type=claim\nt=0010 CREATE_NODE id=n_e0a25402b6fc node_type=claim\nt=0011 CREATE_NODE id=n_4d9af93e60b1 node_type=claim\nt=0012 CREATE_NODE id=n_22a74e226486 node_type=claim\nt=0013 CREATE_NODE id=n_edf320a78b25 node_type=claim\nt=0014 CREATE_NODE id=n_b6e660b3de67 node_type=claim\nt=0015 CREATE_NODE id=n_f934145f81c0 node_type=claim\nt=0016 CREATE_NODE id=n_b2bcbf2ff685 node_type=claim\nt=0017 CREATE_NODE id=n_d3836a8ffa1b node_type=claim\nt=0018 CREATE_NODE id=n_25f98b1f7bea node_type=claim\nt=0019 CREATE_NODE id=n_1bcefaa74c79 node_type=claim\nt=0020 CREATE_NODE id=n_26ae92c69b7d node_type=claim\nt=0021 CREATE_NODE id=n_6323f35fe546 node_type=claim\nt=0022 ASSERT_ROOT node=n_4d9af93e60b1 value=TRUE\nt=0023 ADD_EDGE edge_id=e_005af3bb83e8 source=n_e0a25402b6fc edge_type=refutes target=n_1bcefaa74c79\nt=0024 ADD_EDGE edge_id=e_c117f535796c source=n_1dc97698dc5f edge_type=refutes target=n_b6e660b3de67\nt=0025 ADD_EDGE edge_id=e_65ee58bdcfa2 source=n_e5ca9e8fbee7 edge_type=refutes target=n_ecd896f596f7\nt=0026 ADD_EDGE edge_id=e_04eff1dbf8e4 source=n_e0a25402b6fc edge_type=supports target=n_0f898f9de86e\nt=0027 ADD_EDGE edge_id=e_ffa44d43d45b source=n_ecd896f596f7 edge_type=refutes target=n_25f98b1f7bea\nt=0028 ADD_EDGE edge_id=e_308358ba2cb0 source=n_26ae92c69b7d edge_type=refutes target=n_1dc97698dc5f\nt=0029 ADD_EDGE edge_id=e_6672c83565d0 source=n_1dc97698dc5f edge_type=supports target=n_e5ca9e8fbee7\nt=0030 ADD_EDGE edge_id=e_07820832de7b source=n_25f98b1f7bea edge_type=refutes target=n_22a74e226486\nt=0031 ADD_EDGE edge_id=e_1829e47f4692 source=n_1dc97698dc5f edge_type=supports target=n_a746f27cef1d\nt=0032 ADD_EDGE edge_id=e_c43ef4183feb source=n_26ae92c69b7d edge_type=refutes target=n_962bbc58ddb6\nt=0033 ADD_EDGE edge_id=e_3ce448944802 source=n_e0a25402b6fc edge_type=refutes target=n_373ec44868ff\nt=0034 ADD_EDGE edge_id=e_d610f8ab4dbf source=n_d3836a8ffa1b edge_type=supports target=n_6323f35fe546\nt=0035 ADD_EDGE edge_id=e_28c668ed23e5 source=n_edf320a78b25 edge_type=refutes target=n_985e9f3acf6a\nt=0036 ADD_EDGE edge_id=e_8beed73b82c7 source=n_22a74e226486 edge_type=supports target=n_b2bcbf2ff685\nt=0037 ADD_EDGE edge_id=e_3bb9eec3e7eb source=n_1bcefaa74c79 edge_type=refutes target=n_edf320a78b25\nt=0038 ADD_EDGE edge_id=e_77cb6b3ddfe5 source=n_985e9f3acf6a edge_type=supports target=n_64b8e50eafd3\nt=0039 ADD_EDGE edge_id=e_8cbdc78527e9 source=n_373ec44868ff edge_type=supports target=n_d3836a8ffa1b\nt=0040 ADD_EDGE edge_id=e_76e2d50ff56a source=n_e0a25402b6fc edge_type=supports target=n_c0b041425c1f\nt=0041 ADD_EDGE edge_id=e_355264f8d872 source=n_e0a25402b6fc edge_type=supports target=n_f934145f81c0\nt=0042 ADD_EDGE edge_id=e_f66af7aac5d4 source=n_4d9af93e60b1 edge_type=supports target=n_26ae92c69b7d\nt=0043 QUERY source=n_4d9af93e60b1 target=n_22a74e226486\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2054,"provenance":{"base_record_id":"train-d06-008","dataset":"livegraph-deterministic-parity-v3","depth":6,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d06-008","split":"train","variant":"clean"},"record_seed":800506225463627056,"render_sha256":"04abcac6b91c4a9eb45b98f1a6ad8316ad3615a3b833eb2af1e3a13999f8d2b0","representation":"linear_trace","semantic_sha256":"ff492681f8672aeacd864bba8b221574d0bc3383ad5cb595fb84578024575358"}
{"char_count":3848,"item_id":"train-d06-009::linear_trace","label":"FALSE","lexical_token_proxy_count":660,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_0c9f114f54cb node_type=claim\nt=0001 CREATE_NODE id=n_519a5807e6fd node_type=claim\nt=0002 CREATE_NODE id=n_584fc2165432 node_type=claim\nt=0003 CREATE_NODE id=n_b51a7e309942 node_type=claim\nt=0004 CREATE_NODE id=n_ae4b99d4ac21 node_type=claim\nt=0005 CREATE_NODE id=n_bad0b84103ad node_type=claim\nt=0006 CREATE_NODE id=n_65d99bef726b node_type=claim\nt=0007 CREATE_NODE id=n_ec0e027912eb node_type=claim\nt=0008 CREATE_NODE id=n_adf7da808e88 node_type=claim\nt=0009 CREATE_NODE id=n_a329691aabef node_type=claim\nt=0010 CREATE_NODE id=n_27159d5ba54a node_type=claim\nt=0011 CREATE_NODE id=n_c44ef9680a1b node_type=claim\nt=0012 CREATE_NODE id=n_7c49a7eaa2b0 node_type=claim\nt=0013 CREATE_NODE id=n_bda2e21975dd node_type=claim\nt=0014 CREATE_NODE id=n_02bc30e6df1e node_type=claim\nt=0015 CREATE_NODE id=n_a40badad7b5c node_type=claim\nt=0016 CREATE_NODE id=n_b8dbe702d95f node_type=claim\nt=0017 CREATE_NODE id=n_6b206281f110 node_type=claim\nt=0018 CREATE_NODE id=n_52b347403486 node_type=claim\nt=0019 CREATE_NODE id=n_58836f49a12c node_type=claim\nt=0020 CREATE_NODE id=n_64281b753dfd node_type=claim\nt=0021 CREATE_NODE id=n_d3e9f36b1860 node_type=claim\nt=0022 ASSERT_ROOT node=n_bad0b84103ad value=TRUE\nt=0023 ADD_EDGE edge_id=e_6666d20f9e1c source=n_584fc2165432 edge_type=refutes target=n_27159d5ba54a\nt=0024 ADD_EDGE edge_id=e_045d159ff74a source=n_584fc2165432 edge_type=refutes target=n_adf7da808e88\nt=0025 ADD_EDGE edge_id=e_6da8195f8034 source=n_b51a7e309942 edge_type=refutes target=n_6b206281f110\nt=0026 ADD_EDGE edge_id=e_9d4435edfdac source=n_b8dbe702d95f edge_type=refutes target=n_65d99bef726b\nt=0027 ADD_EDGE edge_id=e_57c96326fde4 source=n_bad0b84103ad edge_type=supports target=n_b8dbe702d95f\nt=0028 ADD_EDGE edge_id=e_acea8b7c60ba source=n_c44ef9680a1b edge_type=refutes target=n_02bc30e6df1e\nt=0029 ADD_EDGE edge_id=e_13397deea2be source=n_c44ef9680a1b edge_type=refutes target=n_ec0e027912eb\nt=0030 ADD_EDGE edge_id=e_9d4d832429a3 source=n_584fc2165432 edge_type=supports target=n_64281b753dfd\nt=0031 ADD_EDGE edge_id=e_afdbeb649934 source=n_b51a7e309942 edge_type=refutes target=n_ae4b99d4ac21\nt=0032 ADD_EDGE edge_id=e_592b994ef342 source=n_b8dbe702d95f edge_type=supports target=n_a40badad7b5c\nt=0033 ADD_EDGE edge_id=e_15fd06881356 source=n_c44ef9680a1b edge_type=refutes target=n_bda2e21975dd\nt=0034 ADD_EDGE edge_id=e_da7e12e344cd source=n_0c9f114f54cb edge_type=supports target=n_d3e9f36b1860\nt=0035 ADD_EDGE edge_id=e_550cadf6a498 source=n_52b347403486 edge_type=supports target=n_c44ef9680a1b\nt=0036 ADD_EDGE edge_id=e_7834098993a2 source=n_519a5807e6fd edge_type=supports target=n_0c9f114f54cb\nt=0037 ADD_EDGE edge_id=e_1e6f93112938 source=n_0c9f114f54cb edge_type=refutes target=n_a329691aabef\nt=0038 ADD_EDGE edge_id=e_385ea3b780be source=n_d3e9f36b1860 edge_type=supports target=n_7c49a7eaa2b0\nt=0039 ADD_EDGE edge_id=e_1c74dad96843 source=n_6b206281f110 edge_type=refutes target=n_584fc2165432\nt=0040 ADD_EDGE edge_id=e_52a3f1519656 source=n_a40badad7b5c edge_type=supports target=n_b51a7e309942\nt=0041 ADD_EDGE edge_id=e_030d90880711 source=n_519a5807e6fd edge_type=supports target=n_52b347403486\nt=0042 ADD_EDGE edge_id=e_15026bd9ac75 source=n_02bc30e6df1e edge_type=supports target=n_58836f49a12c\nt=0043 QUERY source=n_bad0b84103ad target=n_adf7da808e88\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2078,"provenance":{"base_record_id":"train-d06-009","dataset":"livegraph-deterministic-parity-v3","depth":6,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d06-009","split":"train","variant":"clean"},"record_seed":172857546933685102,"render_sha256":"638660a13c75583e93e67a47474a09331a53d1adba38c90ffd96b117378998b7","representation":"linear_trace","semantic_sha256":"8bacd3916abbfa240dc05ae4b8c118b0fe05a20c22d7329ec324a345009c48a3"}
{"char_count":3849,"item_id":"train-d06-010::linear_trace","label":"TRUE","lexical_token_proxy_count":660,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_4be14b1aa632 node_type=claim\nt=0001 CREATE_NODE id=n_43e22aca980e node_type=claim\nt=0002 CREATE_NODE id=n_cd0a5907022a node_type=claim\nt=0003 CREATE_NODE id=n_d0308cb21cbf node_type=claim\nt=0004 CREATE_NODE id=n_0cb095129905 node_type=claim\nt=0005 CREATE_NODE id=n_af31ad017311 node_type=claim\nt=0006 CREATE_NODE id=n_0920b4126008 node_type=claim\nt=0007 CREATE_NODE id=n_188d32c99f14 node_type=claim\nt=0008 CREATE_NODE id=n_b57c4731e525 node_type=claim\nt=0009 CREATE_NODE id=n_2485439da447 node_type=claim\nt=0010 CREATE_NODE id=n_3fca2618c645 node_type=claim\nt=0011 CREATE_NODE id=n_6dabb9e3fecf node_type=claim\nt=0012 CREATE_NODE id=n_34edb1f39bab node_type=claim\nt=0013 CREATE_NODE id=n_0785448eb2f0 node_type=claim\nt=0014 CREATE_NODE id=n_543d45db5745 node_type=claim\nt=0015 CREATE_NODE id=n_c9b04229163d node_type=claim\nt=0016 CREATE_NODE id=n_7e26f7a6ecbc node_type=claim\nt=0017 CREATE_NODE id=n_9660a3f97583 node_type=claim\nt=0018 CREATE_NODE id=n_75c1418d3edb node_type=claim\nt=0019 CREATE_NODE id=n_90f8d07222bd node_type=claim\nt=0020 CREATE_NODE id=n_80b1e519b1c2 node_type=claim\nt=0021 CREATE_NODE id=n_25b23734924a node_type=claim\nt=0022 ASSERT_ROOT node=n_75c1418d3edb value=FALSE\nt=0023 ADD_EDGE edge_id=e_df286637b5b7 source=n_2485439da447 edge_type=supports target=n_9660a3f97583\nt=0024 ADD_EDGE edge_id=e_8a8f75289280 source=n_80b1e519b1c2 edge_type=supports target=n_cd0a5907022a\nt=0025 ADD_EDGE edge_id=e_c6d07c47a056 source=n_43e22aca980e edge_type=refutes target=n_3fca2618c645\nt=0026 ADD_EDGE edge_id=e_33b1a378b90c source=n_2485439da447 edge_type=refutes target=n_90f8d07222bd\nt=0027 ADD_EDGE edge_id=e_a7fd943969ca source=n_188d32c99f14 edge_type=supports target=n_4be14b1aa632\nt=0028 ADD_EDGE edge_id=e_4802064454c4 source=n_3fca2618c645 edge_type=refutes target=n_af31ad017311\nt=0029 ADD_EDGE edge_id=e_b4142659e977 source=n_90f8d07222bd edge_type=supports target=n_543d45db5745\nt=0030 ADD_EDGE edge_id=e_c9882bd5615b source=n_80b1e519b1c2 edge_type=supports target=n_188d32c99f14\nt=0031 ADD_EDGE edge_id=e_34626215617c source=n_af31ad017311 edge_type=refutes target=n_c9b04229163d\nt=0032 ADD_EDGE edge_id=e_33ec5c821322 source=n_7e26f7a6ecbc edge_type=refutes target=n_43e22aca980e\nt=0033 ADD_EDGE edge_id=e_4a760feb2b4d source=n_9660a3f97583 edge_type=supports target=n_34edb1f39bab\nt=0034 ADD_EDGE edge_id=e_90a11b4ff20e source=n_9660a3f97583 edge_type=supports target=n_80b1e519b1c2\nt=0035 ADD_EDGE edge_id=e_f59256d16685 source=n_3fca2618c645 edge_type=refutes target=n_0920b4126008\nt=0036 ADD_EDGE edge_id=e_0f5f0835da2d source=n_43e22aca980e edge_type=supports target=n_0785448eb2f0\nt=0037 ADD_EDGE edge_id=e_1611d36e0226 source=n_80b1e519b1c2 edge_type=refutes target=n_0cb095129905\nt=0038 ADD_EDGE edge_id=e_29a002abff48 source=n_d0308cb21cbf edge_type=refutes target=n_25b23734924a\nt=0039 ADD_EDGE edge_id=e_a8153b3f5b31 source=n_25b23734924a edge_type=supports target=n_7e26f7a6ecbc\nt=0040 ADD_EDGE edge_id=e_6eeee26cf36f source=n_2485439da447 edge_type=supports target=n_b57c4731e525\nt=0041 ADD_EDGE edge_id=e_ecd17650c34b source=n_75c1418d3edb edge_type=refutes target=n_6dabb9e3fecf\nt=0042 ADD_EDGE edge_id=e_ab3a3445cbc5 source=n_75c1418d3edb edge_type=refutes target=n_d0308cb21cbf\nt=0043 QUERY source=n_75c1418d3edb target=n_af31ad017311\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2104,"provenance":{"base_record_id":"train-d06-010","dataset":"livegraph-deterministic-parity-v3","depth":6,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d06-010","split":"train","variant":"clean"},"record_seed":401750209193989202,"render_sha256":"6ac9239e4e690a08059d70b3f6ebe9380d4a3013d345d901ba74502dbb0c25b4","representation":"linear_trace","semantic_sha256":"0a246a97cea53d06cb41e8bcf886963ffa1360e18ea1539e3333ed58303827d4"}
{"char_count":3849,"item_id":"train-d06-011::linear_trace","label":"FALSE","lexical_token_proxy_count":660,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_5bc364b6250f node_type=claim\nt=0001 CREATE_NODE id=n_d7cd2546cbe8 node_type=claim\nt=0002 CREATE_NODE id=n_567378e61d82 node_type=claim\nt=0003 CREATE_NODE id=n_4df183974616 node_type=claim\nt=0004 CREATE_NODE id=n_267f320acdb9 node_type=claim\nt=0005 CREATE_NODE id=n_a1552f230bbb node_type=claim\nt=0006 CREATE_NODE id=n_b689f0669747 node_type=claim\nt=0007 CREATE_NODE id=n_4b30f7feed5d node_type=claim\nt=0008 CREATE_NODE id=n_54a838178f98 node_type=claim\nt=0009 CREATE_NODE id=n_ee644a602e47 node_type=claim\nt=0010 CREATE_NODE id=n_be507b237940 node_type=claim\nt=0011 CREATE_NODE id=n_30a432fe6a71 node_type=claim\nt=0012 CREATE_NODE id=n_f9c66925593b node_type=claim\nt=0013 CREATE_NODE id=n_6d786946a1f8 node_type=claim\nt=0014 CREATE_NODE id=n_959d1566b5b9 node_type=claim\nt=0015 CREATE_NODE id=n_21ae408ed0d6 node_type=claim\nt=0016 CREATE_NODE id=n_5f324a08baea node_type=claim\nt=0017 CREATE_NODE id=n_62066feeb556 node_type=claim\nt=0018 CREATE_NODE id=n_9d7fe96e4603 node_type=claim\nt=0019 CREATE_NODE id=n_764b18cf5b85 node_type=claim\nt=0020 CREATE_NODE id=n_3f04f9a0728d node_type=claim\nt=0021 CREATE_NODE id=n_5e517b3f7042 node_type=claim\nt=0022 ASSERT_ROOT node=n_21ae408ed0d6 value=FALSE\nt=0023 ADD_EDGE edge_id=e_24eb6c0893ea source=n_9d7fe96e4603 edge_type=refutes target=n_30a432fe6a71\nt=0024 ADD_EDGE edge_id=e_452eda54c416 source=n_5bc364b6250f edge_type=refutes target=n_3f04f9a0728d\nt=0025 ADD_EDGE edge_id=e_8a6f31c89050 source=n_9d7fe96e4603 edge_type=supports target=n_ee644a602e47\nt=0026 ADD_EDGE edge_id=e_410434fff088 source=n_30a432fe6a71 edge_type=refutes target=n_567378e61d82\nt=0027 ADD_EDGE edge_id=e_9ab47514de59 source=n_3f04f9a0728d edge_type=supports target=n_4df183974616\nt=0028 ADD_EDGE edge_id=e_f8bbd0d72b96 source=n_959d1566b5b9 edge_type=supports target=n_b689f0669747\nt=0029 ADD_EDGE edge_id=e_0761b17fddb2 source=n_30a432fe6a71 edge_type=supports target=n_5f324a08baea\nt=0030 ADD_EDGE edge_id=e_97398cabfba3 source=n_21ae408ed0d6 edge_type=refutes target=n_959d1566b5b9\nt=0031 ADD_EDGE edge_id=e_b0221aa2ce46 source=n_267f320acdb9 edge_type=refutes target=n_d7cd2546cbe8\nt=0032 ADD_EDGE edge_id=e_ad501598d70e source=n_30a432fe6a71 edge_type=refutes target=n_4b30f7feed5d\nt=0033 ADD_EDGE edge_id=e_f03b73d36f29 source=n_6d786946a1f8 edge_type=refutes target=n_764b18cf5b85\nt=0034 ADD_EDGE edge_id=e_9c495cab9987 source=n_5bc364b6250f edge_type=refutes target=n_f9c66925593b\nt=0035 ADD_EDGE edge_id=e_1b52d94ba5ba source=n_62066feeb556 edge_type=supports target=n_6d786946a1f8\nt=0036 ADD_EDGE edge_id=e_6bbab66ac165 source=n_a1552f230bbb edge_type=supports target=n_5e517b3f7042\nt=0037 ADD_EDGE edge_id=e_3aad9df9c105 source=n_959d1566b5b9 edge_type=refutes target=n_9d7fe96e4603\nt=0038 ADD_EDGE edge_id=e_994a79bbea87 source=n_567378e61d82 edge_type=refutes target=n_267f320acdb9\nt=0039 ADD_EDGE edge_id=e_624b133a2d3b source=n_f9c66925593b edge_type=supports target=n_62066feeb556\nt=0040 ADD_EDGE edge_id=e_240aa84ced47 source=n_4df183974616 edge_type=supports target=n_54a838178f98\nt=0041 ADD_EDGE edge_id=e_7c1b76cff057 source=n_4df183974616 edge_type=supports target=n_be507b237940\nt=0042 ADD_EDGE edge_id=e_02bf7b42be32 source=n_be507b237940 edge_type=supports target=n_a1552f230bbb\nt=0043 QUERY source=n_21ae408ed0d6 target=n_d7cd2546cbe8\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2093,"provenance":{"base_record_id":"train-d06-011","dataset":"livegraph-deterministic-parity-v3","depth":6,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d06-011","split":"train","variant":"clean"},"record_seed":35489352723126946,"render_sha256":"c6d9c1cb394914e9922024c7b991ff6e894dd8e2f98272bf38aab964c31da2a8","representation":"linear_trace","semantic_sha256":"b018fe5b628a27c966b1393179026f08b90746d2bcd12a83c39a7e15ee490b5d"}
{"char_count":3848,"item_id":"train-d06-012::linear_trace","label":"TRUE","lexical_token_proxy_count":660,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_b51100db77dd node_type=claim\nt=0001 CREATE_NODE id=n_c851bded8a59 node_type=claim\nt=0002 CREATE_NODE id=n_83a703e087f8 node_type=claim\nt=0003 CREATE_NODE id=n_c95b9e5de19e node_type=claim\nt=0004 CREATE_NODE id=n_6af915cc516d node_type=claim\nt=0005 CREATE_NODE id=n_20726dbdfc2d node_type=claim\nt=0006 CREATE_NODE id=n_95c3d1c8a693 node_type=claim\nt=0007 CREATE_NODE id=n_63a7f6880af8 node_type=claim\nt=0008 CREATE_NODE id=n_ad3c0a0aa746 node_type=claim\nt=0009 CREATE_NODE id=n_416512e0b734 node_type=claim\nt=0010 CREATE_NODE id=n_836916208844 node_type=claim\nt=0011 CREATE_NODE id=n_544f07b783b6 node_type=claim\nt=0012 CREATE_NODE id=n_0db75671e275 node_type=claim\nt=0013 CREATE_NODE id=n_5ac97980bd90 node_type=claim\nt=0014 CREATE_NODE id=n_988207e9c8db node_type=claim\nt=0015 CREATE_NODE id=n_ecd477c07dbc node_type=claim\nt=0016 CREATE_NODE id=n_8054c861c68a node_type=claim\nt=0017 CREATE_NODE id=n_cef3fc2344e9 node_type=claim\nt=0018 CREATE_NODE id=n_4339eb89c4d7 node_type=claim\nt=0019 CREATE_NODE id=n_d95505df3563 node_type=claim\nt=0020 CREATE_NODE id=n_7ddc7e4b876b node_type=claim\nt=0021 CREATE_NODE id=n_daf7116ad5ed node_type=claim\nt=0022 ASSERT_ROOT node=n_988207e9c8db value=TRUE\nt=0023 ADD_EDGE edge_id=e_cbbd34856ad5 source=n_d95505df3563 edge_type=refutes target=n_5ac97980bd90\nt=0024 ADD_EDGE edge_id=e_a48d45a6b16a source=n_daf7116ad5ed edge_type=refutes target=n_ecd477c07dbc\nt=0025 ADD_EDGE edge_id=e_3a5a7ade04b3 source=n_544f07b783b6 edge_type=supports target=n_95c3d1c8a693\nt=0026 ADD_EDGE edge_id=e_986dfe58d2e8 source=n_ad3c0a0aa746 edge_type=refutes target=n_416512e0b734\nt=0027 ADD_EDGE edge_id=e_b8428e1e943f source=n_7ddc7e4b876b edge_type=refutes target=n_d95505df3563\nt=0028 ADD_EDGE edge_id=e_84eba282825f source=n_7ddc7e4b876b edge_type=supports target=n_63a7f6880af8\nt=0029 ADD_EDGE edge_id=e_686ca6809948 source=n_63a7f6880af8 edge_type=refutes target=n_544f07b783b6\nt=0030 ADD_EDGE edge_id=e_c8b788ef7080 source=n_7ddc7e4b876b edge_type=refutes target=n_83a703e087f8\nt=0031 ADD_EDGE edge_id=e_e2d8b67f8742 source=n_7ddc7e4b876b edge_type=refutes target=n_c95b9e5de19e\nt=0032 ADD_EDGE edge_id=e_b79884e81320 source=n_4339eb89c4d7 edge_type=supports target=n_0db75671e275\nt=0033 ADD_EDGE edge_id=e_4102d02f54db source=n_4339eb89c4d7 edge_type=supports target=n_ad3c0a0aa746\nt=0034 ADD_EDGE edge_id=e_0125dcd03915 source=n_63a7f6880af8 edge_type=refutes target=n_c851bded8a59\nt=0035 ADD_EDGE edge_id=e_97d877d2bd72 source=n_c851bded8a59 edge_type=supports target=n_cef3fc2344e9\nt=0036 ADD_EDGE edge_id=e_41f9b7828b99 source=n_daf7116ad5ed edge_type=refutes target=n_836916208844\nt=0037 ADD_EDGE edge_id=e_02d735aac52e source=n_ecd477c07dbc edge_type=refutes target=n_8054c861c68a\nt=0038 ADD_EDGE edge_id=e_b917a40ff251 source=n_988207e9c8db edge_type=supports target=n_daf7116ad5ed\nt=0039 ADD_EDGE edge_id=e_23c325a00977 source=n_ad3c0a0aa746 edge_type=supports target=n_6af915cc516d\nt=0040 ADD_EDGE edge_id=e_52e454585d1e source=n_63a7f6880af8 edge_type=supports target=n_b51100db77dd\nt=0041 ADD_EDGE edge_id=e_1c53620be863 source=n_ecd477c07dbc edge_type=supports target=n_20726dbdfc2d\nt=0042 ADD_EDGE edge_id=e_dbc7277c821b source=n_20726dbdfc2d edge_type=supports target=n_4339eb89c4d7\nt=0043 QUERY source=n_988207e9c8db target=n_416512e0b734\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2078,"provenance":{"base_record_id":"train-d06-012","dataset":"livegraph-deterministic-parity-v3","depth":6,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d06-012","split":"train","variant":"clean"},"record_seed":1006755140311807666,"render_sha256":"dad1f1e62bfdc5a5b71d8732b9d64d48e89a0c0aa260f9834253633ad915940e","representation":"linear_trace","semantic_sha256":"95819bd0eeda369b4e553a26b38f345e5a29c8966eb217a5d9c0a3bf52851469"}
{"char_count":3848,"item_id":"train-d06-013::linear_trace","label":"FALSE","lexical_token_proxy_count":660,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_5e38f4da408c node_type=claim\nt=0001 CREATE_NODE id=n_8afe6205129b node_type=claim\nt=0002 CREATE_NODE id=n_ee0299993ea6 node_type=claim\nt=0003 CREATE_NODE id=n_4c8aad43527b node_type=claim\nt=0004 CREATE_NODE id=n_ce770d632ed1 node_type=claim\nt=0005 CREATE_NODE id=n_4005e2ea8855 node_type=claim\nt=0006 CREATE_NODE id=n_a0de819c4170 node_type=claim\nt=0007 CREATE_NODE id=n_ab3a3bf07c47 node_type=claim\nt=0008 CREATE_NODE id=n_9a59538d45e2 node_type=claim\nt=0009 CREATE_NODE id=n_2565618d0701 node_type=claim\nt=0010 CREATE_NODE id=n_623f45c8a01f node_type=claim\nt=0011 CREATE_NODE id=n_2fb59a3bb7dc node_type=claim\nt=0012 CREATE_NODE id=n_a9ac07950b2c node_type=claim\nt=0013 CREATE_NODE id=n_4f1f06ed29b9 node_type=claim\nt=0014 CREATE_NODE id=n_020b5d966119 node_type=claim\nt=0015 CREATE_NODE id=n_5531f53bbae6 node_type=claim\nt=0016 CREATE_NODE id=n_871d6a9a4772 node_type=claim\nt=0017 CREATE_NODE id=n_c5c70449f73a node_type=claim\nt=0018 CREATE_NODE id=n_cc65b1115b29 node_type=claim\nt=0019 CREATE_NODE id=n_293481995f7a node_type=claim\nt=0020 CREATE_NODE id=n_c4c3d6987aee node_type=claim\nt=0021 CREATE_NODE id=n_f5fe1105a642 node_type=claim\nt=0022 ASSERT_ROOT node=n_293481995f7a value=TRUE\nt=0023 ADD_EDGE edge_id=e_34c164adfecb source=n_5e38f4da408c edge_type=supports target=n_c5c70449f73a\nt=0024 ADD_EDGE edge_id=e_95609c5aa5f1 source=n_293481995f7a edge_type=refutes target=n_871d6a9a4772\nt=0025 ADD_EDGE edge_id=e_4ae558094ff4 source=n_5e38f4da408c edge_type=refutes target=n_4f1f06ed29b9\nt=0026 ADD_EDGE edge_id=e_2b3eefca04f6 source=n_9a59538d45e2 edge_type=refutes target=n_4c8aad43527b\nt=0027 ADD_EDGE edge_id=e_509d2251ddf7 source=n_4005e2ea8855 edge_type=supports target=n_cc65b1115b29\nt=0028 ADD_EDGE edge_id=e_d8a1884f2708 source=n_2565618d0701 edge_type=supports target=n_623f45c8a01f\nt=0029 ADD_EDGE edge_id=e_87a3a2a79aef source=n_4005e2ea8855 edge_type=supports target=n_c4c3d6987aee\nt=0030 ADD_EDGE edge_id=e_a370b287b2b9 source=n_5e38f4da408c edge_type=refutes target=n_f5fe1105a642\nt=0031 ADD_EDGE edge_id=e_f5d4043b1f29 source=n_ab3a3bf07c47 edge_type=refutes target=n_a9ac07950b2c\nt=0032 ADD_EDGE edge_id=e_21ba9bd8c2aa source=n_a0de819c4170 edge_type=refutes target=n_5531f53bbae6\nt=0033 ADD_EDGE edge_id=e_e8ff9149f112 source=n_ee0299993ea6 edge_type=refutes target=n_ce770d632ed1\nt=0034 ADD_EDGE edge_id=e_54b636f28f80 source=n_ab3a3bf07c47 edge_type=supports target=n_8afe6205129b\nt=0035 ADD_EDGE edge_id=e_4b49b9d6d04a source=n_ee0299993ea6 edge_type=supports target=n_020b5d966119\nt=0036 ADD_EDGE edge_id=e_29255dea0791 source=n_4c8aad43527b edge_type=refutes target=n_2565618d0701\nt=0037 ADD_EDGE edge_id=e_807566f6dd54 source=n_ee0299993ea6 edge_type=supports target=n_ab3a3bf07c47\nt=0038 ADD_EDGE edge_id=e_e58811343b5e source=n_871d6a9a4772 edge_type=refutes target=n_4005e2ea8855\nt=0039 ADD_EDGE edge_id=e_1689ecc78e5d source=n_4005e2ea8855 edge_type=supports target=n_9a59538d45e2\nt=0040 ADD_EDGE edge_id=e_e0df3d194a33 source=n_2fb59a3bb7dc edge_type=supports target=n_5e38f4da408c\nt=0041 ADD_EDGE edge_id=e_a29d1f9e8ebc source=n_2565618d0701 edge_type=refutes target=n_a0de819c4170\nt=0042 ADD_EDGE edge_id=e_0f49032a43d5 source=n_ab3a3bf07c47 edge_type=supports target=n_2fb59a3bb7dc\nt=0043 QUERY source=n_293481995f7a target=n_a0de819c4170\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2102,"provenance":{"base_record_id":"train-d06-013","dataset":"livegraph-deterministic-parity-v3","depth":6,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d06-013","split":"train","variant":"clean"},"record_seed":666274763823963071,"render_sha256":"5c94cf0c595a223c8ddb6b34d531ba7a019e5442fead4a7a63d80d10342c6e21","representation":"linear_trace","semantic_sha256":"095b7ab988fb3a3d41cd3b84bd3037e7f420a55dcbd87e57dce8c5615e3e36c1"}
{"char_count":3849,"item_id":"train-d06-014::linear_trace","label":"TRUE","lexical_token_proxy_count":660,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_78b762c9d3b6 node_type=claim\nt=0001 CREATE_NODE id=n_000046fcffb4 node_type=claim\nt=0002 CREATE_NODE id=n_1391495e1e48 node_type=claim\nt=0003 CREATE_NODE id=n_d88ed2dff2b5 node_type=claim\nt=0004 CREATE_NODE id=n_8ad73ffbca69 node_type=claim\nt=0005 CREATE_NODE id=n_b37944fd15af node_type=claim\nt=0006 CREATE_NODE id=n_e3279bbb1f54 node_type=claim\nt=0007 CREATE_NODE id=n_4f0c2b112859 node_type=claim\nt=0008 CREATE_NODE id=n_cf5fa6985334 node_type=claim\nt=0009 CREATE_NODE id=n_e1edf4dda3a3 node_type=claim\nt=0010 CREATE_NODE id=n_0a14cf004d51 node_type=claim\nt=0011 CREATE_NODE id=n_51707989fe23 node_type=claim\nt=0012 CREATE_NODE id=n_100f75550b05 node_type=claim\nt=0013 CREATE_NODE id=n_9dbcfe0debb0 node_type=claim\nt=0014 CREATE_NODE id=n_ea1bde5cdea7 node_type=claim\nt=0015 CREATE_NODE id=n_b6bbca40dd1c node_type=claim\nt=0016 CREATE_NODE id=n_e2b1ca4b05fa node_type=claim\nt=0017 CREATE_NODE id=n_6d4902d321b8 node_type=claim\nt=0018 CREATE_NODE id=n_7a40a7b4ee17 node_type=claim\nt=0019 CREATE_NODE id=n_892a893fc41b node_type=claim\nt=0020 CREATE_NODE id=n_9e38f66f0b44 node_type=claim\nt=0021 CREATE_NODE id=n_a7da64c41266 node_type=claim\nt=0022 ASSERT_ROOT node=n_ea1bde5cdea7 value=FALSE\nt=0023 ADD_EDGE edge_id=e_c0eb9813e467 source=n_0a14cf004d51 edge_type=supports target=n_9dbcfe0debb0\nt=0024 ADD_EDGE edge_id=e_457c9b2648ea source=n_100f75550b05 edge_type=refutes target=n_000046fcffb4\nt=0025 ADD_EDGE edge_id=e_461f5568739e source=n_4f0c2b112859 edge_type=supports target=n_d88ed2dff2b5\nt=0026 ADD_EDGE edge_id=e_fa8d7b65d256 source=n_9e38f66f0b44 edge_type=supports target=n_e2b1ca4b05fa\nt=0027 ADD_EDGE edge_id=e_533a655b34d4 source=n_d88ed2dff2b5 edge_type=supports target=n_6d4902d321b8\nt=0028 ADD_EDGE edge_id=e_01e6e4665c5f source=n_e1edf4dda3a3 edge_type=refutes target=n_7a40a7b4ee17\nt=0029 ADD_EDGE edge_id=e_5dfe7b350272 source=n_ea1bde5cdea7 edge_type=refutes target=n_4f0c2b112859\nt=0030 ADD_EDGE edge_id=e_075188dff347 source=n_9e38f66f0b44 edge_type=supports target=n_100f75550b05\nt=0031 ADD_EDGE edge_id=e_52c2a62ccdcc source=n_0a14cf004d51 edge_type=refutes target=n_9e38f66f0b44\nt=0032 ADD_EDGE edge_id=e_e2123481e69c source=n_7a40a7b4ee17 edge_type=supports target=n_a7da64c41266\nt=0033 ADD_EDGE edge_id=e_101107aae85d source=n_7a40a7b4ee17 edge_type=supports target=n_e3279bbb1f54\nt=0034 ADD_EDGE edge_id=e_e99f2bb700be source=n_7a40a7b4ee17 edge_type=refutes target=n_b6bbca40dd1c\nt=0035 ADD_EDGE edge_id=e_e0b059b2a932 source=n_100f75550b05 edge_type=refutes target=n_78b762c9d3b6\nt=0036 ADD_EDGE edge_id=e_a49ece6f9f86 source=n_6d4902d321b8 edge_type=refutes target=n_e1edf4dda3a3\nt=0037 ADD_EDGE edge_id=e_423cbe43f2bc source=n_100f75550b05 edge_type=refutes target=n_cf5fa6985334\nt=0038 ADD_EDGE edge_id=e_2eae53ee45b1 source=n_e3279bbb1f54 edge_type=refutes target=n_b37944fd15af\nt=0039 ADD_EDGE edge_id=e_2721781c48e2 source=n_0a14cf004d51 edge_type=refutes target=n_51707989fe23\nt=0040 ADD_EDGE edge_id=e_8dff4ef27460 source=n_d88ed2dff2b5 edge_type=supports target=n_1391495e1e48\nt=0041 ADD_EDGE edge_id=e_0973926878d8 source=n_100f75550b05 edge_type=supports target=n_8ad73ffbca69\nt=0042 ADD_EDGE edge_id=e_a681888a023b source=n_51707989fe23 edge_type=supports target=n_892a893fc41b\nt=0043 QUERY source=n_ea1bde5cdea7 target=n_e3279bbb1f54\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2073,"provenance":{"base_record_id":"train-d06-014","dataset":"livegraph-deterministic-parity-v3","depth":6,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d06-014","split":"train","variant":"clean"},"record_seed":136257449114356826,"render_sha256":"f06f862bb01ca0536839fa6383a3e6ed75d96f66d3d3131f42e6a011409d806a","representation":"linear_trace","semantic_sha256":"769aa38b9b105eccdaf48d362dddcf098387dd89aee3aa345ba6b79dc6fd3c6c"}
{"char_count":3849,"item_id":"train-d06-015::linear_trace","label":"FALSE","lexical_token_proxy_count":660,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_43d8970d2aef node_type=claim\nt=0001 CREATE_NODE id=n_ca39f9a1b5d8 node_type=claim\nt=0002 CREATE_NODE id=n_f4ae5a63c91a node_type=claim\nt=0003 CREATE_NODE id=n_f1e0a03ae20f node_type=claim\nt=0004 CREATE_NODE id=n_636095a019d8 node_type=claim\nt=0005 CREATE_NODE id=n_66efa274d264 node_type=claim\nt=0006 CREATE_NODE id=n_ef47f1a33ea1 node_type=claim\nt=0007 CREATE_NODE id=n_61857e72d336 node_type=claim\nt=0008 CREATE_NODE id=n_ec8f75eb0074 node_type=claim\nt=0009 CREATE_NODE id=n_92f105684330 node_type=claim\nt=0010 CREATE_NODE id=n_41a3805bb8da node_type=claim\nt=0011 CREATE_NODE id=n_9b425c5f92e6 node_type=claim\nt=0012 CREATE_NODE id=n_617fa749df72 node_type=claim\nt=0013 CREATE_NODE id=n_039cea1bfd12 node_type=claim\nt=0014 CREATE_NODE id=n_db95801d3201 node_type=claim\nt=0015 CREATE_NODE id=n_70125ae5be8a node_type=claim\nt=0016 CREATE_NODE id=n_bdd0defdff24 node_type=claim\nt=0017 CREATE_NODE id=n_a6157bf87cad node_type=claim\nt=0018 CREATE_NODE id=n_d4f52c6bfba0 node_type=claim\nt=0019 CREATE_NODE id=n_c8285bfbbb6e node_type=claim\nt=0020 CREATE_NODE id=n_1eef83786ebf node_type=claim\nt=0021 CREATE_NODE id=n_8375e33ad147 node_type=claim\nt=0022 ASSERT_ROOT node=n_92f105684330 value=FALSE\nt=0023 ADD_EDGE edge_id=e_a4b777013af7 source=n_636095a019d8 edge_type=supports target=n_66efa274d264\nt=0024 ADD_EDGE edge_id=e_ad442f8d95af source=n_617fa749df72 edge_type=refutes target=n_ec8f75eb0074\nt=0025 ADD_EDGE edge_id=e_470911943dae source=n_636095a019d8 edge_type=supports target=n_8375e33ad147\nt=0026 ADD_EDGE edge_id=e_352392400273 source=n_db95801d3201 edge_type=supports target=n_bdd0defdff24\nt=0027 ADD_EDGE edge_id=e_b3513ed45278 source=n_ec8f75eb0074 edge_type=supports target=n_db95801d3201\nt=0028 ADD_EDGE edge_id=e_def2f7f99b0c source=n_636095a019d8 edge_type=refutes target=n_d4f52c6bfba0\nt=0029 ADD_EDGE edge_id=e_b170529a0953 source=n_ef47f1a33ea1 edge_type=supports target=n_f1e0a03ae20f\nt=0030 ADD_EDGE edge_id=e_5f2fb847cb2d source=n_9b425c5f92e6 edge_type=refutes target=n_f4ae5a63c91a\nt=0031 ADD_EDGE edge_id=e_763befb56b51 source=n_9b425c5f92e6 edge_type=refutes target=n_617fa749df72\nt=0032 ADD_EDGE edge_id=e_01083a776e3c source=n_636095a019d8 edge_type=supports target=n_039cea1bfd12\nt=0033 ADD_EDGE edge_id=e_fd364ac8f20c source=n_db95801d3201 edge_type=supports target=n_70125ae5be8a\nt=0034 ADD_EDGE edge_id=e_f867b92a2c58 source=n_1eef83786ebf edge_type=refutes target=n_61857e72d336\nt=0035 ADD_EDGE edge_id=e_9643c952110c source=n_1eef83786ebf edge_type=supports target=n_ca39f9a1b5d8\nt=0036 ADD_EDGE edge_id=e_d7e85455374c source=n_d4f52c6bfba0 edge_type=refutes target=n_41a3805bb8da\nt=0037 ADD_EDGE edge_id=e_0348105d9b6c source=n_92f105684330 edge_type=refutes target=n_ef47f1a33ea1\nt=0038 ADD_EDGE edge_id=e_c95fc38d2a89 source=n_9b425c5f92e6 edge_type=refutes target=n_a6157bf87cad\nt=0039 ADD_EDGE edge_id=e_da6f9b7e83c3 source=n_d4f52c6bfba0 edge_type=supports target=n_c8285bfbbb6e\nt=0040 ADD_EDGE edge_id=e_31358ea715a4 source=n_ef47f1a33ea1 edge_type=refutes target=n_9b425c5f92e6\nt=0041 ADD_EDGE edge_id=e_215481beb685 source=n_636095a019d8 edge_type=supports target=n_1eef83786ebf\nt=0042 ADD_EDGE edge_id=e_338a0645b01b source=n_1eef83786ebf edge_type=refutes target=n_43d8970d2aef\nt=0043 QUERY source=n_92f105684330 target=n_bdd0defdff24\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2077,"provenance":{"base_record_id":"train-d06-015","dataset":"livegraph-deterministic-parity-v3","depth":6,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d06-015","split":"train","variant":"clean"},"record_seed":1023548617943916248,"render_sha256":"b200d19865777435b2b538e05ff241b16904b61f1435d7279721b936677dfebb","representation":"linear_trace","semantic_sha256":"d83f67ccdb37bf1eacba44f9ff068d4d29e174a538dcdc8bb18e28c6c16f1df7"}
{"char_count":3848,"item_id":"train-d06-016::linear_trace","label":"TRUE","lexical_token_proxy_count":660,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_ddb730716ab0 node_type=claim\nt=0001 CREATE_NODE id=n_7308b177da7c node_type=claim\nt=0002 CREATE_NODE id=n_c0b453d4240e node_type=claim\nt=0003 CREATE_NODE id=n_807d61d1e23b node_type=claim\nt=0004 CREATE_NODE id=n_870b8ad08d0c node_type=claim\nt=0005 CREATE_NODE id=n_c21e57e5c7a1 node_type=claim\nt=0006 CREATE_NODE id=n_f8904c2d849e node_type=claim\nt=0007 CREATE_NODE id=n_ff1f1fa5b0a3 node_type=claim\nt=0008 CREATE_NODE id=n_da3fd594a89f node_type=claim\nt=0009 CREATE_NODE id=n_b139e540808e node_type=claim\nt=0010 CREATE_NODE id=n_9f98aed64282 node_type=claim\nt=0011 CREATE_NODE id=n_9a63259b6a50 node_type=claim\nt=0012 CREATE_NODE id=n_4aa7aec11154 node_type=claim\nt=0013 CREATE_NODE id=n_8807099a3bf9 node_type=claim\nt=0014 CREATE_NODE id=n_48d575b664a3 node_type=claim\nt=0015 CREATE_NODE id=n_30e4c580a6cd node_type=claim\nt=0016 CREATE_NODE id=n_c1af1ef358ef node_type=claim\nt=0017 CREATE_NODE id=n_14c1f426e369 node_type=claim\nt=0018 CREATE_NODE id=n_d8c8e9fc3fc2 node_type=claim\nt=0019 CREATE_NODE id=n_7cc76b1c4e13 node_type=claim\nt=0020 CREATE_NODE id=n_71d89e648fbc node_type=claim\nt=0021 CREATE_NODE id=n_37a95a03b592 node_type=claim\nt=0022 ASSERT_ROOT node=n_8807099a3bf9 value=TRUE\nt=0023 ADD_EDGE edge_id=e_9a7c60939aca source=n_8807099a3bf9 edge_type=supports target=n_14c1f426e369\nt=0024 ADD_EDGE edge_id=e_0b05c728a35a source=n_b139e540808e edge_type=supports target=n_c0b453d4240e\nt=0025 ADD_EDGE edge_id=e_ed50d57b5c43 source=n_807d61d1e23b edge_type=refutes target=n_ff1f1fa5b0a3\nt=0026 ADD_EDGE edge_id=e_689b60e69996 source=n_7cc76b1c4e13 edge_type=supports target=n_4aa7aec11154\nt=0027 ADD_EDGE edge_id=e_343a3398129a source=n_d8c8e9fc3fc2 edge_type=refutes target=n_9f98aed64282\nt=0028 ADD_EDGE edge_id=e_43f01d92249b source=n_870b8ad08d0c edge_type=supports target=n_f8904c2d849e\nt=0029 ADD_EDGE edge_id=e_fba4f0ca4329 source=n_4aa7aec11154 edge_type=refutes target=n_7308b177da7c\nt=0030 ADD_EDGE edge_id=e_d633547dae0a source=n_d8c8e9fc3fc2 edge_type=refutes target=n_48d575b664a3\nt=0031 ADD_EDGE edge_id=e_eecded1de955 source=n_48d575b664a3 edge_type=refutes target=n_da3fd594a89f\nt=0032 ADD_EDGE edge_id=e_897a51450317 source=n_f8904c2d849e edge_type=supports target=n_b139e540808e\nt=0033 ADD_EDGE edge_id=e_d6fb3aa897bb source=n_14c1f426e369 edge_type=refutes target=n_71d89e648fbc\nt=0034 ADD_EDGE edge_id=e_e37b455fb825 source=n_b139e540808e edge_type=supports target=n_807d61d1e23b\nt=0035 ADD_EDGE edge_id=e_6880d8a96ddc source=n_71d89e648fbc edge_type=refutes target=n_870b8ad08d0c\nt=0036 ADD_EDGE edge_id=e_7cbc1d2d3d6e source=n_8807099a3bf9 edge_type=supports target=n_ddb730716ab0\nt=0037 ADD_EDGE edge_id=e_ba78130c32b0 source=n_d8c8e9fc3fc2 edge_type=supports target=n_30e4c580a6cd\nt=0038 ADD_EDGE edge_id=e_07efa9960408 source=n_d8c8e9fc3fc2 edge_type=supports target=n_9a63259b6a50\nt=0039 ADD_EDGE edge_id=e_22fe0897264b source=n_d8c8e9fc3fc2 edge_type=refutes target=n_7cc76b1c4e13\nt=0040 ADD_EDGE edge_id=e_59bbc76761a4 source=n_b139e540808e edge_type=supports target=n_c21e57e5c7a1\nt=0041 ADD_EDGE edge_id=e_b9d302456673 source=n_4aa7aec11154 edge_type=refutes target=n_37a95a03b592\nt=0042 ADD_EDGE edge_id=e_4920b5ffb58e source=n_30e4c580a6cd edge_type=refutes target=n_c1af1ef358ef\nt=0043 QUERY source=n_8807099a3bf9 target=n_807d61d1e23b\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2105,"provenance":{"base_record_id":"train-d06-016","dataset":"livegraph-deterministic-parity-v3","depth":6,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d06-016","split":"train","variant":"clean"},"record_seed":146156063850525549,"render_sha256":"de203728cdafa070f9c67d753107c6406bb5e9576ebce8060b1c90926c1d962d","representation":"linear_trace","semantic_sha256":"4efa35beb33e562758cfd5c630b9e62d88d52f08612110c117d32b13f70155ff"}
{"char_count":3848,"item_id":"train-d06-017::linear_trace","label":"FALSE","lexical_token_proxy_count":660,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_56512ef36186 node_type=claim\nt=0001 CREATE_NODE id=n_d10d3bcdbc77 node_type=claim\nt=0002 CREATE_NODE id=n_e6b672ca4b4a node_type=claim\nt=0003 CREATE_NODE id=n_cbeef6317641 node_type=claim\nt=0004 CREATE_NODE id=n_9f697813f033 node_type=claim\nt=0005 CREATE_NODE id=n_79485cfb7898 node_type=claim\nt=0006 CREATE_NODE id=n_a98dd35b204d node_type=claim\nt=0007 CREATE_NODE id=n_b66ab292cd8d node_type=claim\nt=0008 CREATE_NODE id=n_ef533c801ab0 node_type=claim\nt=0009 CREATE_NODE id=n_d0ca312f3a40 node_type=claim\nt=0010 CREATE_NODE id=n_dce39fb4ac48 node_type=claim\nt=0011 CREATE_NODE id=n_b810be683529 node_type=claim\nt=0012 CREATE_NODE id=n_3322a690051f node_type=claim\nt=0013 CREATE_NODE id=n_dee2f21b6d0e node_type=claim\nt=0014 CREATE_NODE id=n_b978a093f0b3 node_type=claim\nt=0015 CREATE_NODE id=n_04a1a4f51a44 node_type=claim\nt=0016 CREATE_NODE id=n_a143ca79e8cd node_type=claim\nt=0017 CREATE_NODE id=n_b8986080749f node_type=claim\nt=0018 CREATE_NODE id=n_f40149a7f1f5 node_type=claim\nt=0019 CREATE_NODE id=n_803368a6592b node_type=claim\nt=0020 CREATE_NODE id=n_993a5e21a111 node_type=claim\nt=0021 CREATE_NODE id=n_4fdd7602e1b0 node_type=claim\nt=0022 ASSERT_ROOT node=n_3322a690051f value=TRUE\nt=0023 ADD_EDGE edge_id=e_36d260798865 source=n_cbeef6317641 edge_type=refutes target=n_b810be683529\nt=0024 ADD_EDGE edge_id=e_efe59632f6c0 source=n_d10d3bcdbc77 edge_type=supports target=n_ef533c801ab0\nt=0025 ADD_EDGE edge_id=e_91ce133a5470 source=n_ef533c801ab0 edge_type=supports target=n_b978a093f0b3\nt=0026 ADD_EDGE edge_id=e_d5c60017e5ce source=n_dce39fb4ac48 edge_type=supports target=n_d10d3bcdbc77\nt=0027 ADD_EDGE edge_id=e_e93e594a512a source=n_cbeef6317641 edge_type=supports target=n_a98dd35b204d\nt=0028 ADD_EDGE edge_id=e_c300676a4e89 source=n_04a1a4f51a44 edge_type=refutes target=n_993a5e21a111\nt=0029 ADD_EDGE edge_id=e_6d0573698dcb source=n_d0ca312f3a40 edge_type=supports target=n_4fdd7602e1b0\nt=0030 ADD_EDGE edge_id=e_e366c5de6260 source=n_dee2f21b6d0e edge_type=supports target=n_b66ab292cd8d\nt=0031 ADD_EDGE edge_id=e_c7c943dc0108 source=n_f40149a7f1f5 edge_type=refutes target=n_803368a6592b\nt=0032 ADD_EDGE edge_id=e_2b4cfdad710a source=n_b810be683529 edge_type=refutes target=n_56512ef36186\nt=0033 ADD_EDGE edge_id=e_d866d1248476 source=n_d0ca312f3a40 edge_type=refutes target=n_dce39fb4ac48\nt=0034 ADD_EDGE edge_id=e_8b0bdda75ef0 source=n_3322a690051f edge_type=refutes target=n_04a1a4f51a44\nt=0035 ADD_EDGE edge_id=e_3e15965c834f source=n_ef533c801ab0 edge_type=supports target=n_dee2f21b6d0e\nt=0036 ADD_EDGE edge_id=e_770f6b757960 source=n_dce39fb4ac48 edge_type=refutes target=n_79485cfb7898\nt=0037 ADD_EDGE edge_id=e_d20778efcab0 source=n_04a1a4f51a44 edge_type=refutes target=n_b8986080749f\nt=0038 ADD_EDGE edge_id=e_47ddee50a5a5 source=n_993a5e21a111 edge_type=supports target=n_e6b672ca4b4a\nt=0039 ADD_EDGE edge_id=e_52923bbe72f7 source=n_ef533c801ab0 edge_type=supports target=n_a143ca79e8cd\nt=0040 ADD_EDGE edge_id=e_b9283ce90222 source=n_993a5e21a111 edge_type=refutes target=n_f40149a7f1f5\nt=0041 ADD_EDGE edge_id=e_342402d9ab23 source=n_4fdd7602e1b0 edge_type=refutes target=n_9f697813f033\nt=0042 ADD_EDGE edge_id=e_f4980a938fa6 source=n_803368a6592b edge_type=supports target=n_cbeef6317641\nt=0043 QUERY source=n_3322a690051f target=n_b810be683529\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2094,"provenance":{"base_record_id":"train-d06-017","dataset":"livegraph-deterministic-parity-v3","depth":6,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d06-017","split":"train","variant":"clean"},"record_seed":620378230063357977,"render_sha256":"a4b41068728f209c6144fbd4cb0efa3a3d713a0c0c637a15c6f0954054930fd1","representation":"linear_trace","semantic_sha256":"8510e30373426d8449b28b2667b31342f242de29b2e5827f5cef08794cab2b0f"}
{"char_count":3849,"item_id":"train-d06-018::linear_trace","label":"TRUE","lexical_token_proxy_count":660,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_ec7b1f8da5d7 node_type=claim\nt=0001 CREATE_NODE id=n_02fd200c4915 node_type=claim\nt=0002 CREATE_NODE id=n_913e35b26a1c node_type=claim\nt=0003 CREATE_NODE id=n_e80580ba9211 node_type=claim\nt=0004 CREATE_NODE id=n_3c057b9d2921 node_type=claim\nt=0005 CREATE_NODE id=n_8e46a03e8575 node_type=claim\nt=0006 CREATE_NODE id=n_f21e5d59b331 node_type=claim\nt=0007 CREATE_NODE id=n_7dceb0aca683 node_type=claim\nt=0008 CREATE_NODE id=n_96c1e86dc874 node_type=claim\nt=0009 CREATE_NODE id=n_104b3d9d5019 node_type=claim\nt=0010 CREATE_NODE id=n_6bd81b280c54 node_type=claim\nt=0011 CREATE_NODE id=n_2fc4cd461354 node_type=claim\nt=0012 CREATE_NODE id=n_13d4a3aad1c5 node_type=claim\nt=0013 CREATE_NODE id=n_1b3b71138f3f node_type=claim\nt=0014 CREATE_NODE id=n_953e4d4f5f26 node_type=claim\nt=0015 CREATE_NODE id=n_ed192ba42057 node_type=claim\nt=0016 CREATE_NODE id=n_d1ef9f665dbd node_type=claim\nt=0017 CREATE_NODE id=n_531b8545a14a node_type=claim\nt=0018 CREATE_NODE id=n_98bff2d7cc1a node_type=claim\nt=0019 CREATE_NODE id=n_bdc3363e2018 node_type=claim\nt=0020 CREATE_NODE id=n_31992b66de9d node_type=claim\nt=0021 CREATE_NODE id=n_70a813199834 node_type=claim\nt=0022 ASSERT_ROOT node=n_7dceb0aca683 value=FALSE\nt=0023 ADD_EDGE edge_id=e_f5c699b0ebc0 source=n_104b3d9d5019 edge_type=supports target=n_2fc4cd461354\nt=0024 ADD_EDGE edge_id=e_ab08409e269f source=n_953e4d4f5f26 edge_type=supports target=n_d1ef9f665dbd\nt=0025 ADD_EDGE edge_id=e_e7c74e702b2c source=n_3c057b9d2921 edge_type=refutes target=n_913e35b26a1c\nt=0026 ADD_EDGE edge_id=e_92becdf90baf source=n_104b3d9d5019 edge_type=supports target=n_f21e5d59b331\nt=0027 ADD_EDGE edge_id=e_304a75b72f25 source=n_1b3b71138f3f edge_type=refutes target=n_8e46a03e8575\nt=0028 ADD_EDGE edge_id=e_8094e67e4a90 source=n_31992b66de9d edge_type=refutes target=n_02fd200c4915\nt=0029 ADD_EDGE edge_id=e_ed5697a1112e source=n_7dceb0aca683 edge_type=refutes target=n_98bff2d7cc1a\nt=0030 ADD_EDGE edge_id=e_c4d202a28060 source=n_d1ef9f665dbd edge_type=supports target=n_e80580ba9211\nt=0031 ADD_EDGE edge_id=e_f9bcb9923581 source=n_3c057b9d2921 edge_type=refutes target=n_13d4a3aad1c5\nt=0032 ADD_EDGE edge_id=e_f458734df38c source=n_1b3b71138f3f edge_type=refutes target=n_bdc3363e2018\nt=0033 ADD_EDGE edge_id=e_e20b17d04219 source=n_70a813199834 edge_type=supports target=n_6bd81b280c54\nt=0034 ADD_EDGE edge_id=e_41ee2f67479f source=n_31992b66de9d edge_type=supports target=n_3c057b9d2921\nt=0035 ADD_EDGE edge_id=e_2406d36bc7d8 source=n_7dceb0aca683 edge_type=refutes target=n_953e4d4f5f26\nt=0036 ADD_EDGE edge_id=e_600e29c84fb8 source=n_31992b66de9d edge_type=refutes target=n_ed192ba42057\nt=0037 ADD_EDGE edge_id=e_2643db878f9e source=n_3c057b9d2921 edge_type=refutes target=n_1b3b71138f3f\nt=0038 ADD_EDGE edge_id=e_5faf0b5ec628 source=n_953e4d4f5f26 edge_type=supports target=n_531b8545a14a\nt=0039 ADD_EDGE edge_id=e_48a193ced594 source=n_2fc4cd461354 edge_type=supports target=n_70a813199834\nt=0040 ADD_EDGE edge_id=e_89c2b62f1ba0 source=n_e80580ba9211 edge_type=supports target=n_104b3d9d5019\nt=0041 ADD_EDGE edge_id=e_876e189e6193 source=n_913e35b26a1c edge_type=supports target=n_96c1e86dc874\nt=0042 ADD_EDGE edge_id=e_101996f8c2e8 source=n_8e46a03e8575 edge_type=refutes target=n_ec7b1f8da5d7\nt=0043 QUERY source=n_7dceb0aca683 target=n_70a813199834\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2112,"provenance":{"base_record_id":"train-d06-018","dataset":"livegraph-deterministic-parity-v3","depth":6,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d06-018","split":"train","variant":"clean"},"record_seed":499210592681533585,"render_sha256":"e4e038b826541002dfbe6df8b9c7b4833570f3f58d51a0330704d42cea9aab39","representation":"linear_trace","semantic_sha256":"2c40cdca2ab329fdc563dbfa11b123a415cc3135e8586517783a5f54f31d6639"}
{"char_count":3849,"item_id":"train-d06-019::linear_trace","label":"FALSE","lexical_token_proxy_count":660,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_893c455159a6 node_type=claim\nt=0001 CREATE_NODE id=n_dd96a6d22bb7 node_type=claim\nt=0002 CREATE_NODE id=n_ab713389dfe8 node_type=claim\nt=0003 CREATE_NODE id=n_33605131af2d node_type=claim\nt=0004 CREATE_NODE id=n_75e8617143b1 node_type=claim\nt=0005 CREATE_NODE id=n_dc1cb6b0c3d1 node_type=claim\nt=0006 CREATE_NODE id=n_2c0196d82083 node_type=claim\nt=0007 CREATE_NODE id=n_5ca9225912e3 node_type=claim\nt=0008 CREATE_NODE id=n_339bf7022e52 node_type=claim\nt=0009 CREATE_NODE id=n_f159c5e2a50c node_type=claim\nt=0010 CREATE_NODE id=n_72af6bcbb957 node_type=claim\nt=0011 CREATE_NODE id=n_c3c925d0334e node_type=claim\nt=0012 CREATE_NODE id=n_c588f64cd006 node_type=claim\nt=0013 CREATE_NODE id=n_3307f6b9b54b node_type=claim\nt=0014 CREATE_NODE id=n_9e64fee977a1 node_type=claim\nt=0015 CREATE_NODE id=n_b598295902d9 node_type=claim\nt=0016 CREATE_NODE id=n_7cad58993f61 node_type=claim\nt=0017 CREATE_NODE id=n_98355b7e7d44 node_type=claim\nt=0018 CREATE_NODE id=n_5cff14f6409f node_type=claim\nt=0019 CREATE_NODE id=n_39289a419332 node_type=claim\nt=0020 CREATE_NODE id=n_645060766408 node_type=claim\nt=0021 CREATE_NODE id=n_634b9b7315d7 node_type=claim\nt=0022 ASSERT_ROOT node=n_5ca9225912e3 value=FALSE\nt=0023 ADD_EDGE edge_id=e_6e9e60ede9c5 source=n_33605131af2d edge_type=refutes target=n_645060766408\nt=0024 ADD_EDGE edge_id=e_a012cc4791ea source=n_9e64fee977a1 edge_type=supports target=n_33605131af2d\nt=0025 ADD_EDGE edge_id=e_3aa93c5ed099 source=n_c588f64cd006 edge_type=supports target=n_75e8617143b1\nt=0026 ADD_EDGE edge_id=e_8ac477dd2fad source=n_ab713389dfe8 edge_type=supports target=n_9e64fee977a1\nt=0027 ADD_EDGE edge_id=e_1f3a089e7cdb source=n_98355b7e7d44 edge_type=refutes target=n_7cad58993f61\nt=0028 ADD_EDGE edge_id=e_d1b0e06b8dac source=n_c588f64cd006 edge_type=supports target=n_c3c925d0334e\nt=0029 ADD_EDGE edge_id=e_750627b0b5c1 source=n_c3c925d0334e edge_type=refutes target=n_3307f6b9b54b\nt=0030 ADD_EDGE edge_id=e_a1721b2d989c source=n_3307f6b9b54b edge_type=refutes target=n_72af6bcbb957\nt=0031 ADD_EDGE edge_id=e_ed9b9875afe9 source=n_5cff14f6409f edge_type=refutes target=n_f159c5e2a50c\nt=0032 ADD_EDGE edge_id=e_2ceddfd71c9d source=n_dd96a6d22bb7 edge_type=supports target=n_dc1cb6b0c3d1\nt=0033 ADD_EDGE edge_id=e_6e829dd8bbe9 source=n_ab713389dfe8 edge_type=supports target=n_98355b7e7d44\nt=0034 ADD_EDGE edge_id=e_a7a5ac331fe4 source=n_39289a419332 edge_type=supports target=n_c588f64cd006\nt=0035 ADD_EDGE edge_id=e_779a79fbfa29 source=n_5cff14f6409f edge_type=supports target=n_39289a419332\nt=0036 ADD_EDGE edge_id=e_d8dc7ac3af63 source=n_33605131af2d edge_type=refutes target=n_dd96a6d22bb7\nt=0037 ADD_EDGE edge_id=e_7b1be232b18e source=n_72af6bcbb957 edge_type=supports target=n_b598295902d9\nt=0038 ADD_EDGE edge_id=e_fa5196de90ac source=n_9e64fee977a1 edge_type=refutes target=n_893c455159a6\nt=0039 ADD_EDGE edge_id=e_4070934a3320 source=n_7cad58993f61 edge_type=refutes target=n_339bf7022e52\nt=0040 ADD_EDGE edge_id=e_811fed081dac source=n_9e64fee977a1 edge_type=refutes target=n_2c0196d82083\nt=0041 ADD_EDGE edge_id=e_29068d50ec8e source=n_5ca9225912e3 edge_type=refutes target=n_634b9b7315d7\nt=0042 ADD_EDGE edge_id=e_84279d42c8ac source=n_5ca9225912e3 edge_type=supports target=n_5cff14f6409f\nt=0043 QUERY source=n_5ca9225912e3 target=n_72af6bcbb957\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2087,"provenance":{"base_record_id":"train-d06-019","dataset":"livegraph-deterministic-parity-v3","depth":6,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d06-019","split":"train","variant":"clean"},"record_seed":31261802748278763,"render_sha256":"660e1acd602f54d2c7efbee3672cb04524e2b782a9572673ec7a56be9b565039","representation":"linear_trace","semantic_sha256":"9c0e002a3485fc22df93c7064f4ffcf37b3451fd2e2a8b12f08fea4f2332f284"}
{"char_count":3848,"item_id":"train-d06-020::linear_trace","label":"TRUE","lexical_token_proxy_count":660,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_e7ca8af3ccd8 node_type=claim\nt=0001 CREATE_NODE id=n_992578233cbe node_type=claim\nt=0002 CREATE_NODE id=n_695c894aa35b node_type=claim\nt=0003 CREATE_NODE id=n_119ff1e2dfe8 node_type=claim\nt=0004 CREATE_NODE id=n_c745a3e7de68 node_type=claim\nt=0005 CREATE_NODE id=n_348a4c354a7b node_type=claim\nt=0006 CREATE_NODE id=n_c0b885cc861d node_type=claim\nt=0007 CREATE_NODE id=n_4d82606010fa node_type=claim\nt=0008 CREATE_NODE id=n_485c6465025f node_type=claim\nt=0009 CREATE_NODE id=n_182b0aff50d6 node_type=claim\nt=0010 CREATE_NODE id=n_15dbb8e9dda4 node_type=claim\nt=0011 CREATE_NODE id=n_d144181c5598 node_type=claim\nt=0012 CREATE_NODE id=n_f105dbef7e42 node_type=claim\nt=0013 CREATE_NODE id=n_14763ca034b7 node_type=claim\nt=0014 CREATE_NODE id=n_ef0c20e6c73b node_type=claim\nt=0015 CREATE_NODE id=n_943118b19833 node_type=claim\nt=0016 CREATE_NODE id=n_ea23562ad14b node_type=claim\nt=0017 CREATE_NODE id=n_9831ce5d15f6 node_type=claim\nt=0018 CREATE_NODE id=n_f0efb751fa15 node_type=claim\nt=0019 CREATE_NODE id=n_da13d62e0299 node_type=claim\nt=0020 CREATE_NODE id=n_c42e0cd312b2 node_type=claim\nt=0021 CREATE_NODE id=n_30e8cb94cd34 node_type=claim\nt=0022 ASSERT_ROOT node=n_f0efb751fa15 value=TRUE\nt=0023 ADD_EDGE edge_id=e_1be23e46a24e source=n_c0b885cc861d edge_type=supports target=n_182b0aff50d6\nt=0024 ADD_EDGE edge_id=e_ed68e34ecfbe source=n_f0efb751fa15 edge_type=supports target=n_695c894aa35b\nt=0025 ADD_EDGE edge_id=e_707a73d15cf5 source=n_c42e0cd312b2 edge_type=supports target=n_943118b19833\nt=0026 ADD_EDGE edge_id=e_2585bd813fef source=n_e7ca8af3ccd8 edge_type=refutes target=n_14763ca034b7\nt=0027 ADD_EDGE edge_id=e_a9d2b7de0c36 source=n_c745a3e7de68 edge_type=refutes target=n_ef0c20e6c73b\nt=0028 ADD_EDGE edge_id=e_2c78a45f427c source=n_348a4c354a7b edge_type=supports target=n_30e8cb94cd34\nt=0029 ADD_EDGE edge_id=e_e078c5d11dad source=n_e7ca8af3ccd8 edge_type=supports target=n_c745a3e7de68\nt=0030 ADD_EDGE edge_id=e_4c8e243be50d source=n_485c6465025f edge_type=refutes target=n_9831ce5d15f6\nt=0031 ADD_EDGE edge_id=e_800a2523aad3 source=n_9831ce5d15f6 edge_type=refutes target=n_f105dbef7e42\nt=0032 ADD_EDGE edge_id=e_a7795f912d42 source=n_9831ce5d15f6 edge_type=refutes target=n_4d82606010fa\nt=0033 ADD_EDGE edge_id=e_7e65c99976a1 source=n_c42e0cd312b2 edge_type=refutes target=n_15dbb8e9dda4\nt=0034 ADD_EDGE edge_id=e_9bed64877925 source=n_c745a3e7de68 edge_type=supports target=n_992578233cbe\nt=0035 ADD_EDGE edge_id=e_fcb9cb36decb source=n_f0efb751fa15 edge_type=refutes target=n_d144181c5598\nt=0036 ADD_EDGE edge_id=e_9a9cfcc0f0ee source=n_f0efb751fa15 edge_type=supports target=n_da13d62e0299\nt=0037 ADD_EDGE edge_id=e_cad45dce8820 source=n_c745a3e7de68 edge_type=refutes target=n_c0b885cc861d\nt=0038 ADD_EDGE edge_id=e_13c07ee68ee0 source=n_4d82606010fa edge_type=supports target=n_348a4c354a7b\nt=0039 ADD_EDGE edge_id=e_d224bd9b5829 source=n_d144181c5598 edge_type=refutes target=n_485c6465025f\nt=0040 ADD_EDGE edge_id=e_115e485e2b1b source=n_f0efb751fa15 edge_type=supports target=n_119ff1e2dfe8\nt=0041 ADD_EDGE edge_id=e_6b99ef45a281 source=n_c745a3e7de68 edge_type=refutes target=n_c42e0cd312b2\nt=0042 ADD_EDGE edge_id=e_564cfa6c6df4 source=n_14763ca034b7 edge_type=supports target=n_ea23562ad14b\nt=0043 QUERY source=n_f0efb751fa15 target=n_30e8cb94cd34\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2074,"provenance":{"base_record_id":"train-d06-020","dataset":"livegraph-deterministic-parity-v3","depth":6,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d06-020","split":"train","variant":"clean"},"record_seed":640266765140630251,"render_sha256":"e15590438658b78970a9c69b7036d6ffb8ca34c12cf0a44c74b16fd9866bc96f","representation":"linear_trace","semantic_sha256":"a432e6aacc508ddc9d9ba2c42b3a493ae52c7607476f0d259015330295f8bf76"}
{"char_count":3848,"item_id":"train-d06-021::linear_trace","label":"FALSE","lexical_token_proxy_count":660,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_b803e1bdfe0b node_type=claim\nt=0001 CREATE_NODE id=n_141e90ae51a9 node_type=claim\nt=0002 CREATE_NODE id=n_c42a8bb9bf32 node_type=claim\nt=0003 CREATE_NODE id=n_03e1c58a8f47 node_type=claim\nt=0004 CREATE_NODE id=n_a1cfa88394e2 node_type=claim\nt=0005 CREATE_NODE id=n_74ec6aab12da node_type=claim\nt=0006 CREATE_NODE id=n_727ea59631dc node_type=claim\nt=0007 CREATE_NODE id=n_5f2cfc08ebeb node_type=claim\nt=0008 CREATE_NODE id=n_725b4407997d node_type=claim\nt=0009 CREATE_NODE id=n_08630c1a8ed8 node_type=claim\nt=0010 CREATE_NODE id=n_6c40aaa035fd node_type=claim\nt=0011 CREATE_NODE id=n_dd5560d3ad73 node_type=claim\nt=0012 CREATE_NODE id=n_7d412b2a457c node_type=claim\nt=0013 CREATE_NODE id=n_841e063982a6 node_type=claim\nt=0014 CREATE_NODE id=n_eefafd21e144 node_type=claim\nt=0015 CREATE_NODE id=n_1a59875e1206 node_type=claim\nt=0016 CREATE_NODE id=n_9a9eb5ddaa8b node_type=claim\nt=0017 CREATE_NODE id=n_6d7725e31f31 node_type=claim\nt=0018 CREATE_NODE id=n_ef3feb2fe1a5 node_type=claim\nt=0019 CREATE_NODE id=n_9a949e511fbc node_type=claim\nt=0020 CREATE_NODE id=n_00b768b16e2d node_type=claim\nt=0021 CREATE_NODE id=n_20fec9aaca76 node_type=claim\nt=0022 ASSERT_ROOT node=n_141e90ae51a9 value=TRUE\nt=0023 ADD_EDGE edge_id=e_05a9ea298362 source=n_7d412b2a457c edge_type=refutes target=n_ef3feb2fe1a5\nt=0024 ADD_EDGE edge_id=e_9c65f531f99b source=n_ef3feb2fe1a5 edge_type=refutes target=n_a1cfa88394e2\nt=0025 ADD_EDGE edge_id=e_18b9aad7c739 source=n_5f2cfc08ebeb edge_type=refutes target=n_08630c1a8ed8\nt=0026 ADD_EDGE edge_id=e_46918542ad3c source=n_7d412b2a457c edge_type=supports target=n_b803e1bdfe0b\nt=0027 ADD_EDGE edge_id=e_2a5f28b5f451 source=n_141e90ae51a9 edge_type=supports target=n_9a9eb5ddaa8b\nt=0028 ADD_EDGE edge_id=e_36e0349fe336 source=n_6c40aaa035fd edge_type=refutes target=n_727ea59631dc\nt=0029 ADD_EDGE edge_id=e_12e5a2d16e23 source=n_9a9eb5ddaa8b edge_type=supports target=n_6d7725e31f31\nt=0030 ADD_EDGE edge_id=e_d628920c756d source=n_841e063982a6 edge_type=refutes target=n_dd5560d3ad73\nt=0031 ADD_EDGE edge_id=e_61653a4f1b20 source=n_7d412b2a457c edge_type=supports target=n_841e063982a6\nt=0032 ADD_EDGE edge_id=e_c7afc0d81a39 source=n_727ea59631dc edge_type=refutes target=n_eefafd21e144\nt=0033 ADD_EDGE edge_id=e_dd3880bdc103 source=n_1a59875e1206 edge_type=refutes target=n_c42a8bb9bf32\nt=0034 ADD_EDGE edge_id=e_7c742bff9095 source=n_141e90ae51a9 edge_type=supports target=n_03e1c58a8f47\nt=0035 ADD_EDGE edge_id=e_d467e2645c51 source=n_74ec6aab12da edge_type=supports target=n_00b768b16e2d\nt=0036 ADD_EDGE edge_id=e_fe9c765f9f79 source=n_6d7725e31f31 edge_type=supports target=n_5f2cfc08ebeb\nt=0037 ADD_EDGE edge_id=e_4208ed773cf2 source=n_7d412b2a457c edge_type=refutes target=n_1a59875e1206\nt=0038 ADD_EDGE edge_id=e_3e9e91cde351 source=n_727ea59631dc edge_type=supports target=n_20fec9aaca76\nt=0039 ADD_EDGE edge_id=e_d1f59733b719 source=n_1a59875e1206 edge_type=supports target=n_74ec6aab12da\nt=0040 ADD_EDGE edge_id=e_887fb1cc24c6 source=n_5f2cfc08ebeb edge_type=refutes target=n_725b4407997d\nt=0041 ADD_EDGE edge_id=e_af8bf2dd4ee8 source=n_5f2cfc08ebeb edge_type=refutes target=n_6c40aaa035fd\nt=0042 ADD_EDGE edge_id=e_1e35a507ac51 source=n_7d412b2a457c edge_type=supports target=n_9a949e511fbc\nt=0043 QUERY source=n_141e90ae51a9 target=n_eefafd21e144\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2071,"provenance":{"base_record_id":"train-d06-021","dataset":"livegraph-deterministic-parity-v3","depth":6,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d06-021","split":"train","variant":"clean"},"record_seed":916831188375819449,"render_sha256":"81e87e4510aefd9e0969d66ef620c202c012cd42d55bf373d2e499d2e5452f41","representation":"linear_trace","semantic_sha256":"756257de37ca8ef1a63ad793e8db041154086ff5d555cdc48748a73eecbab44a"}
{"char_count":3849,"item_id":"train-d06-022::linear_trace","label":"TRUE","lexical_token_proxy_count":660,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_6e13e36065ed node_type=claim\nt=0001 CREATE_NODE id=n_f6f9898e9f01 node_type=claim\nt=0002 CREATE_NODE id=n_e929436a59a9 node_type=claim\nt=0003 CREATE_NODE id=n_25eb01805b29 node_type=claim\nt=0004 CREATE_NODE id=n_347725bc905c node_type=claim\nt=0005 CREATE_NODE id=n_790d3cac315e node_type=claim\nt=0006 CREATE_NODE id=n_315dfdfec56e node_type=claim\nt=0007 CREATE_NODE id=n_a91230efbdf2 node_type=claim\nt=0008 CREATE_NODE id=n_521ff612d9ea node_type=claim\nt=0009 CREATE_NODE id=n_3c16bc161248 node_type=claim\nt=0010 CREATE_NODE id=n_49df98fe1f89 node_type=claim\nt=0011 CREATE_NODE id=n_4bb722c596ca node_type=claim\nt=0012 CREATE_NODE id=n_af2d3f43b459 node_type=claim\nt=0013 CREATE_NODE id=n_43503f2e50c2 node_type=claim\nt=0014 CREATE_NODE id=n_fa329955d69d node_type=claim\nt=0015 CREATE_NODE id=n_d25100ae4093 node_type=claim\nt=0016 CREATE_NODE id=n_2c6ca3240bad node_type=claim\nt=0017 CREATE_NODE id=n_8c729a482a3a node_type=claim\nt=0018 CREATE_NODE id=n_3b341ce092b4 node_type=claim\nt=0019 CREATE_NODE id=n_925b7d749de3 node_type=claim\nt=0020 CREATE_NODE id=n_c1746905def2 node_type=claim\nt=0021 CREATE_NODE id=n_f0b414fc6665 node_type=claim\nt=0022 ASSERT_ROOT node=n_a91230efbdf2 value=FALSE\nt=0023 ADD_EDGE edge_id=e_6f99840c6292 source=n_3c16bc161248 edge_type=supports target=n_c1746905def2\nt=0024 ADD_EDGE edge_id=e_af8963257d75 source=n_a91230efbdf2 edge_type=refutes target=n_3b341ce092b4\nt=0025 ADD_EDGE edge_id=e_2c3942b85d55 source=n_521ff612d9ea edge_type=refutes target=n_25eb01805b29\nt=0026 ADD_EDGE edge_id=e_850a8d5fcebb source=n_3c16bc161248 edge_type=supports target=n_2c6ca3240bad\nt=0027 ADD_EDGE edge_id=e_28b416c2a082 source=n_c1746905def2 edge_type=refutes target=n_af2d3f43b459\nt=0028 ADD_EDGE edge_id=e_ac5749626e66 source=n_25eb01805b29 edge_type=refutes target=n_4bb722c596ca\nt=0029 ADD_EDGE edge_id=e_02d481410939 source=n_925b7d749de3 edge_type=supports target=n_d25100ae4093\nt=0030 ADD_EDGE edge_id=e_2338eeaab07c source=n_af2d3f43b459 edge_type=refutes target=n_49df98fe1f89\nt=0031 ADD_EDGE edge_id=e_ad6dbed90ffc source=n_4bb722c596ca edge_type=refutes target=n_e929436a59a9\nt=0032 ADD_EDGE edge_id=e_8bf215a1cd98 source=n_3c16bc161248 edge_type=supports target=n_925b7d749de3\nt=0033 ADD_EDGE edge_id=e_6fd89c1c1549 source=n_8c729a482a3a edge_type=supports target=n_f0b414fc6665\nt=0034 ADD_EDGE edge_id=e_e14017bcdc36 source=n_8c729a482a3a edge_type=supports target=n_315dfdfec56e\nt=0035 ADD_EDGE edge_id=e_5b72d0b65e35 source=n_e929436a59a9 edge_type=refutes target=n_43503f2e50c2\nt=0036 ADD_EDGE edge_id=e_cea4a88d11f1 source=n_3c16bc161248 edge_type=refutes target=n_fa329955d69d\nt=0037 ADD_EDGE edge_id=e_e71ce1fdfaec source=n_6e13e36065ed edge_type=supports target=n_347725bc905c\nt=0038 ADD_EDGE edge_id=e_5d1a2d287a80 source=n_8c729a482a3a edge_type=refutes target=n_521ff612d9ea\nt=0039 ADD_EDGE edge_id=e_764408863059 source=n_25eb01805b29 edge_type=refutes target=n_f6f9898e9f01\nt=0040 ADD_EDGE edge_id=e_5df206b7193e source=n_3c16bc161248 edge_type=supports target=n_790d3cac315e\nt=0041 ADD_EDGE edge_id=e_3aa9d7616ab4 source=n_fa329955d69d edge_type=supports target=n_6e13e36065ed\nt=0042 ADD_EDGE edge_id=e_5f444c579821 source=n_a91230efbdf2 edge_type=supports target=n_8c729a482a3a\nt=0043 QUERY source=n_a91230efbdf2 target=n_43503f2e50c2\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2089,"provenance":{"base_record_id":"train-d06-022","dataset":"livegraph-deterministic-parity-v3","depth":6,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d06-022","split":"train","variant":"clean"},"record_seed":1128092598497209732,"render_sha256":"be3285ef4e7a7a04a6bd32b88016665a6b3562f9eb4e94e3dd0aaff93e7e1550","representation":"linear_trace","semantic_sha256":"9960bb3e07f62a78276054348a57ce74460f930bff46b8864e8ed462248b28f6"}
{"char_count":3849,"item_id":"train-d06-023::linear_trace","label":"FALSE","lexical_token_proxy_count":660,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_6a5eef4e0abd node_type=claim\nt=0001 CREATE_NODE id=n_f7813f0f19e8 node_type=claim\nt=0002 CREATE_NODE id=n_74d508fd3b75 node_type=claim\nt=0003 CREATE_NODE id=n_a301bd417b80 node_type=claim\nt=0004 CREATE_NODE id=n_c98a20698ec8 node_type=claim\nt=0005 CREATE_NODE id=n_dda15e753d15 node_type=claim\nt=0006 CREATE_NODE id=n_04fa51b3f95b node_type=claim\nt=0007 CREATE_NODE id=n_7a91a860a2c9 node_type=claim\nt=0008 CREATE_NODE id=n_294227ec1fa6 node_type=claim\nt=0009 CREATE_NODE id=n_3ca7dc8b33f6 node_type=claim\nt=0010 CREATE_NODE id=n_3c28b7d27c14 node_type=claim\nt=0011 CREATE_NODE id=n_5ba5aa50c337 node_type=claim\nt=0012 CREATE_NODE id=n_5abab10574fc node_type=claim\nt=0013 CREATE_NODE id=n_8f0accdcac46 node_type=claim\nt=0014 CREATE_NODE id=n_1aede784d6d6 node_type=claim\nt=0015 CREATE_NODE id=n_ca901db86585 node_type=claim\nt=0016 CREATE_NODE id=n_35a54f03c346 node_type=claim\nt=0017 CREATE_NODE id=n_83032e23a8dd node_type=claim\nt=0018 CREATE_NODE id=n_735b16d11ea4 node_type=claim\nt=0019 CREATE_NODE id=n_c4e14e05de84 node_type=claim\nt=0020 CREATE_NODE id=n_e0c39611497d node_type=claim\nt=0021 CREATE_NODE id=n_bf2067fcd61f node_type=claim\nt=0022 ASSERT_ROOT node=n_c4e14e05de84 value=FALSE\nt=0023 ADD_EDGE edge_id=e_a67f45dcac19 source=n_bf2067fcd61f edge_type=supports target=n_dda15e753d15\nt=0024 ADD_EDGE edge_id=e_bd18563a289c source=n_1aede784d6d6 edge_type=refutes target=n_3ca7dc8b33f6\nt=0025 ADD_EDGE edge_id=e_3570d003c2fa source=n_74d508fd3b75 edge_type=refutes target=n_5ba5aa50c337\nt=0026 ADD_EDGE edge_id=e_ed3a47307f3d source=n_04fa51b3f95b edge_type=refutes target=n_8f0accdcac46\nt=0027 ADD_EDGE edge_id=e_65229a20805d source=n_bf2067fcd61f edge_type=refutes target=n_735b16d11ea4\nt=0028 ADD_EDGE edge_id=e_9b387b4e35a6 source=n_5abab10574fc edge_type=refutes target=n_04fa51b3f95b\nt=0029 ADD_EDGE edge_id=e_56909d437e41 source=n_74d508fd3b75 edge_type=supports target=n_f7813f0f19e8\nt=0030 ADD_EDGE edge_id=e_4210752f0914 source=n_1aede784d6d6 edge_type=refutes target=n_7a91a860a2c9\nt=0031 ADD_EDGE edge_id=e_9262df97d289 source=n_3ca7dc8b33f6 edge_type=supports target=n_c98a20698ec8\nt=0032 ADD_EDGE edge_id=e_4d78bef2bf01 source=n_1aede784d6d6 edge_type=supports target=n_a301bd417b80\nt=0033 ADD_EDGE edge_id=e_beeed1d6fdd1 source=n_1aede784d6d6 edge_type=supports target=n_6a5eef4e0abd\nt=0034 ADD_EDGE edge_id=e_6184cce67e69 source=n_f7813f0f19e8 edge_type=refutes target=n_294227ec1fa6\nt=0035 ADD_EDGE edge_id=e_ee1a056fe6c6 source=n_83032e23a8dd edge_type=refutes target=n_5abab10574fc\nt=0036 ADD_EDGE edge_id=e_611ea177aa19 source=n_5abab10574fc edge_type=supports target=n_3c28b7d27c14\nt=0037 ADD_EDGE edge_id=e_c5f894168ff2 source=n_c4e14e05de84 edge_type=supports target=n_83032e23a8dd\nt=0038 ADD_EDGE edge_id=e_496e77ff00f7 source=n_83032e23a8dd edge_type=refutes target=n_35a54f03c346\nt=0039 ADD_EDGE edge_id=e_0f8dd440bab3 source=n_8f0accdcac46 edge_type=supports target=n_bf2067fcd61f\nt=0040 ADD_EDGE edge_id=e_fce6b99ef368 source=n_735b16d11ea4 edge_type=supports target=n_e0c39611497d\nt=0041 ADD_EDGE edge_id=e_78b136526c1c source=n_5ba5aa50c337 edge_type=refutes target=n_ca901db86585\nt=0042 ADD_EDGE edge_id=e_914a133be399 source=n_1aede784d6d6 edge_type=supports target=n_74d508fd3b75\nt=0043 QUERY source=n_c4e14e05de84 target=n_735b16d11ea4\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2065,"provenance":{"base_record_id":"train-d06-023","dataset":"livegraph-deterministic-parity-v3","depth":6,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d06-023","split":"train","variant":"clean"},"record_seed":671351347574580980,"render_sha256":"28d29129d75d53a69ba13b3471c460ff37d21cf037fdbd3a1c999703be418103","representation":"linear_trace","semantic_sha256":"4187f5e1801aeee4afbba69cdc261c813761fec389b0b47802b82d9bf2640cb2"}
{"char_count":3848,"item_id":"train-d06-024::linear_trace","label":"TRUE","lexical_token_proxy_count":660,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_732a0ddc2d38 node_type=claim\nt=0001 CREATE_NODE id=n_bfae87ce08fe node_type=claim\nt=0002 CREATE_NODE id=n_03a387e0156f node_type=claim\nt=0003 CREATE_NODE id=n_7cadca1f8a74 node_type=claim\nt=0004 CREATE_NODE id=n_00db1277adae node_type=claim\nt=0005 CREATE_NODE id=n_8d600ed9e0ba node_type=claim\nt=0006 CREATE_NODE id=n_8d3d8df65558 node_type=claim\nt=0007 CREATE_NODE id=n_dc2d9a5699f8 node_type=claim\nt=0008 CREATE_NODE id=n_c153ae1005ff node_type=claim\nt=0009 CREATE_NODE id=n_3d47bd2cdd21 node_type=claim\nt=0010 CREATE_NODE id=n_87d10498e1f9 node_type=claim\nt=0011 CREATE_NODE id=n_bd7e97dde24c node_type=claim\nt=0012 CREATE_NODE id=n_8f94195645e4 node_type=claim\nt=0013 CREATE_NODE id=n_ef9d88a3ae81 node_type=claim\nt=0014 CREATE_NODE id=n_cb674744c9e4 node_type=claim\nt=0015 CREATE_NODE id=n_ddebd0e61ceb node_type=claim\nt=0016 CREATE_NODE id=n_9ce374ed4063 node_type=claim\nt=0017 CREATE_NODE id=n_d34f6fb83205 node_type=claim\nt=0018 CREATE_NODE id=n_a4e8b75e50c9 node_type=claim\nt=0019 CREATE_NODE id=n_b613c0231aee node_type=claim\nt=0020 CREATE_NODE id=n_62e7167f27b1 node_type=claim\nt=0021 CREATE_NODE id=n_4595d8df2983 node_type=claim\nt=0022 ASSERT_ROOT node=n_a4e8b75e50c9 value=TRUE\nt=0023 ADD_EDGE edge_id=e_309ee700c816 source=n_7cadca1f8a74 edge_type=supports target=n_bd7e97dde24c\nt=0024 ADD_EDGE edge_id=e_b30432c8d3e0 source=n_b613c0231aee edge_type=supports target=n_87d10498e1f9\nt=0025 ADD_EDGE edge_id=e_af8af8c8983f source=n_bd7e97dde24c edge_type=refutes target=n_b613c0231aee\nt=0026 ADD_EDGE edge_id=e_46aaae32b949 source=n_9ce374ed4063 edge_type=refutes target=n_dc2d9a5699f8\nt=0027 ADD_EDGE edge_id=e_5106e6ad06df source=n_8f94195645e4 edge_type=refutes target=n_8d3d8df65558\nt=0028 ADD_EDGE edge_id=e_df581dd3fc42 source=n_4595d8df2983 edge_type=refutes target=n_bfae87ce08fe\nt=0029 ADD_EDGE edge_id=e_018326fac250 source=n_b613c0231aee edge_type=refutes target=n_ef9d88a3ae81\nt=0030 ADD_EDGE edge_id=e_55e03c300cd8 source=n_ef9d88a3ae81 edge_type=supports target=n_c153ae1005ff\nt=0031 ADD_EDGE edge_id=e_5e0618b2fe2d source=n_bd7e97dde24c edge_type=supports target=n_732a0ddc2d38\nt=0032 ADD_EDGE edge_id=e_bc1a5fa81523 source=n_87d10498e1f9 edge_type=supports target=n_cb674744c9e4\nt=0033 ADD_EDGE edge_id=e_e5e0e4d09a75 source=n_a4e8b75e50c9 edge_type=refutes target=n_9ce374ed4063\nt=0034 ADD_EDGE edge_id=e_541bc25fda85 source=n_8f94195645e4 edge_type=refutes target=n_4595d8df2983\nt=0035 ADD_EDGE edge_id=e_ce2d7e6f5805 source=n_a4e8b75e50c9 edge_type=supports target=n_3d47bd2cdd21\nt=0036 ADD_EDGE edge_id=e_e2cb98cf1cc3 source=n_62e7167f27b1 edge_type=refutes target=n_7cadca1f8a74\nt=0037 ADD_EDGE edge_id=e_2a7cb7968b79 source=n_03a387e0156f edge_type=supports target=n_ddebd0e61ceb\nt=0038 ADD_EDGE edge_id=e_8de043ba9480 source=n_dc2d9a5699f8 edge_type=supports target=n_8d600ed9e0ba\nt=0039 ADD_EDGE edge_id=e_dcadcaeb8224 source=n_ef9d88a3ae81 edge_type=supports target=n_00db1277adae\nt=0040 ADD_EDGE edge_id=e_6ef3a3d90055 source=n_62e7167f27b1 edge_type=supports target=n_d34f6fb83205\nt=0041 ADD_EDGE edge_id=e_0bb3041bb0cc source=n_bfae87ce08fe edge_type=refutes target=n_03a387e0156f\nt=0042 ADD_EDGE edge_id=e_98caf850b72e source=n_dc2d9a5699f8 edge_type=refutes target=n_8f94195645e4\nt=0043 QUERY source=n_a4e8b75e50c9 target=n_03a387e0156f\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2067,"provenance":{"base_record_id":"train-d06-024","dataset":"livegraph-deterministic-parity-v3","depth":6,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d06-024","split":"train","variant":"clean"},"record_seed":140746319912488994,"render_sha256":"fbb7dfa41c8f7c90534541531c4672334111240a5a8f533258b3b73759664b9d","representation":"linear_trace","semantic_sha256":"19de2ed5fecfc5f2bb1b1b584c6b901b0c194aa45dd362d12048e82d51703cfc"}
{"char_count":3848,"item_id":"train-d06-025::linear_trace","label":"FALSE","lexical_token_proxy_count":660,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_83591773d11b node_type=claim\nt=0001 CREATE_NODE id=n_1a35cb857e89 node_type=claim\nt=0002 CREATE_NODE id=n_cf42379d84d4 node_type=claim\nt=0003 CREATE_NODE id=n_ec4393b24d21 node_type=claim\nt=0004 CREATE_NODE id=n_51a23af15946 node_type=claim\nt=0005 CREATE_NODE id=n_b584be68f3ea node_type=claim\nt=0006 CREATE_NODE id=n_74276feac190 node_type=claim\nt=0007 CREATE_NODE id=n_8e6eec814d1a node_type=claim\nt=0008 CREATE_NODE id=n_4647abbe6555 node_type=claim\nt=0009 CREATE_NODE id=n_7b5546af8ea1 node_type=claim\nt=0010 CREATE_NODE id=n_4e52c8ad21dc node_type=claim\nt=0011 CREATE_NODE id=n_47996f3900c5 node_type=claim\nt=0012 CREATE_NODE id=n_2305578e986b node_type=claim\nt=0013 CREATE_NODE id=n_3d59a4354750 node_type=claim\nt=0014 CREATE_NODE id=n_2b17bcfe7af0 node_type=claim\nt=0015 CREATE_NODE id=n_ed8b2db92320 node_type=claim\nt=0016 CREATE_NODE id=n_be567740fc26 node_type=claim\nt=0017 CREATE_NODE id=n_f38007dd7bd6 node_type=claim\nt=0018 CREATE_NODE id=n_8467cf92654a node_type=claim\nt=0019 CREATE_NODE id=n_931b64158429 node_type=claim\nt=0020 CREATE_NODE id=n_372ce7793b1d node_type=claim\nt=0021 CREATE_NODE id=n_f0153ccc8120 node_type=claim\nt=0022 ASSERT_ROOT node=n_3d59a4354750 value=TRUE\nt=0023 ADD_EDGE edge_id=e_cd8c8f8f0ea9 source=n_be567740fc26 edge_type=refutes target=n_74276feac190\nt=0024 ADD_EDGE edge_id=e_ef7e6493c164 source=n_8467cf92654a edge_type=refutes target=n_b584be68f3ea\nt=0025 ADD_EDGE edge_id=e_e748e435dc53 source=n_372ce7793b1d edge_type=supports target=n_ec4393b24d21\nt=0026 ADD_EDGE edge_id=e_8fc8f37d8c29 source=n_be567740fc26 edge_type=refutes target=n_8e6eec814d1a\nt=0027 ADD_EDGE edge_id=e_953e64c402ab source=n_372ce7793b1d edge_type=refutes target=n_2b17bcfe7af0\nt=0028 ADD_EDGE edge_id=e_7b7ce731278e source=n_4e52c8ad21dc edge_type=supports target=n_4647abbe6555\nt=0029 ADD_EDGE edge_id=e_9c6c020e691e source=n_1a35cb857e89 edge_type=supports target=n_83591773d11b\nt=0030 ADD_EDGE edge_id=e_c9913d24ad29 source=n_1a35cb857e89 edge_type=supports target=n_ed8b2db92320\nt=0031 ADD_EDGE edge_id=e_0e6c80d29669 source=n_be567740fc26 edge_type=refutes target=n_51a23af15946\nt=0032 ADD_EDGE edge_id=e_0764a09fd7c0 source=n_4647abbe6555 edge_type=refutes target=n_f0153ccc8120\nt=0033 ADD_EDGE edge_id=e_609d43e8f98f source=n_3d59a4354750 edge_type=supports target=n_4e52c8ad21dc\nt=0034 ADD_EDGE edge_id=e_0aa8acc43326 source=n_47996f3900c5 edge_type=supports target=n_cf42379d84d4\nt=0035 ADD_EDGE edge_id=e_ed92d769244f source=n_931b64158429 edge_type=refutes target=n_7b5546af8ea1\nt=0036 ADD_EDGE edge_id=e_4e3dbfb87666 source=n_74276feac190 edge_type=supports target=n_2305578e986b\nt=0037 ADD_EDGE edge_id=e_7b435693aaaf source=n_4647abbe6555 edge_type=supports target=n_372ce7793b1d\nt=0038 ADD_EDGE edge_id=e_23ce3da8cf90 source=n_f38007dd7bd6 edge_type=supports target=n_be567740fc26\nt=0039 ADD_EDGE edge_id=e_099ababdcd5d source=n_2b17bcfe7af0 edge_type=refutes target=n_8467cf92654a\nt=0040 ADD_EDGE edge_id=e_81294a07d85d source=n_1a35cb857e89 edge_type=supports target=n_f38007dd7bd6\nt=0041 ADD_EDGE edge_id=e_4cd023a50616 source=n_8467cf92654a edge_type=refutes target=n_931b64158429\nt=0042 ADD_EDGE edge_id=e_72ffd82e3539 source=n_51a23af15946 edge_type=refutes target=n_47996f3900c5\nt=0043 QUERY source=n_3d59a4354750 target=n_931b64158429\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2079,"provenance":{"base_record_id":"train-d06-025","dataset":"livegraph-deterministic-parity-v3","depth":6,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d06-025","split":"train","variant":"clean"},"record_seed":732303944429360420,"render_sha256":"92c5be60970d3d811aecf881967cffe91493d6a4b5e154d8110c425c527602c0","representation":"linear_trace","semantic_sha256":"9cb55a750ce885c1d1d365d9f70f5ac93fb718171bccd4db8851899277f5a187"}
{"char_count":3849,"item_id":"train-d06-026::linear_trace","label":"TRUE","lexical_token_proxy_count":660,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_3182cf263c84 node_type=claim\nt=0001 CREATE_NODE id=n_32028e53f850 node_type=claim\nt=0002 CREATE_NODE id=n_4a084cdcc61f node_type=claim\nt=0003 CREATE_NODE id=n_14de06c500e9 node_type=claim\nt=0004 CREATE_NODE id=n_c539a8868a73 node_type=claim\nt=0005 CREATE_NODE id=n_9fe365c9f740 node_type=claim\nt=0006 CREATE_NODE id=n_454df59ef597 node_type=claim\nt=0007 CREATE_NODE id=n_88885dd2ce1a node_type=claim\nt=0008 CREATE_NODE id=n_9305f43ae3db node_type=claim\nt=0009 CREATE_NODE id=n_66a2c51efe99 node_type=claim\nt=0010 CREATE_NODE id=n_b40e704e2047 node_type=claim\nt=0011 CREATE_NODE id=n_fd284d71584b node_type=claim\nt=0012 CREATE_NODE id=n_84fbe30ec148 node_type=claim\nt=0013 CREATE_NODE id=n_9701cb2ddf8e node_type=claim\nt=0014 CREATE_NODE id=n_1c88b968c981 node_type=claim\nt=0015 CREATE_NODE id=n_02517c4c270b node_type=claim\nt=0016 CREATE_NODE id=n_00f3613eefac node_type=claim\nt=0017 CREATE_NODE id=n_77827c531eab node_type=claim\nt=0018 CREATE_NODE id=n_ea67a2b01999 node_type=claim\nt=0019 CREATE_NODE id=n_de51eb75640f node_type=claim\nt=0020 CREATE_NODE id=n_76b22b90150a node_type=claim\nt=0021 CREATE_NODE id=n_380fdefdff2f node_type=claim\nt=0022 ASSERT_ROOT node=n_9fe365c9f740 value=FALSE\nt=0023 ADD_EDGE edge_id=e_ad83a3fd59fa source=n_9fe365c9f740 edge_type=supports target=n_fd284d71584b\nt=0024 ADD_EDGE edge_id=e_b6bac29d397b source=n_76b22b90150a edge_type=refutes target=n_9701cb2ddf8e\nt=0025 ADD_EDGE edge_id=e_cd670e60306f source=n_9fe365c9f740 edge_type=refutes target=n_88885dd2ce1a\nt=0026 ADD_EDGE edge_id=e_06bdf355196f source=n_1c88b968c981 edge_type=refutes target=n_9305f43ae3db\nt=0027 ADD_EDGE edge_id=e_2986083106f2 source=n_02517c4c270b edge_type=supports target=n_1c88b968c981\nt=0028 ADD_EDGE edge_id=e_6f367935815d source=n_c539a8868a73 edge_type=refutes target=n_00f3613eefac\nt=0029 ADD_EDGE edge_id=e_241c55634fe3 source=n_b40e704e2047 edge_type=supports target=n_ea67a2b01999\nt=0030 ADD_EDGE edge_id=e_137551f0730b source=n_3182cf263c84 edge_type=supports target=n_02517c4c270b\nt=0031 ADD_EDGE edge_id=e_07b6eaf195ce source=n_84fbe30ec148 edge_type=refutes target=n_77827c531eab\nt=0032 ADD_EDGE edge_id=e_710cebe85b23 source=n_c539a8868a73 edge_type=supports target=n_84fbe30ec148\nt=0033 ADD_EDGE edge_id=e_bd6c6200f6f9 source=n_454df59ef597 edge_type=supports target=n_32028e53f850\nt=0034 ADD_EDGE edge_id=e_55652a7a5d32 source=n_fd284d71584b edge_type=supports target=n_4a084cdcc61f\nt=0035 ADD_EDGE edge_id=e_7c99ded22275 source=n_c539a8868a73 edge_type=refutes target=n_66a2c51efe99\nt=0036 ADD_EDGE edge_id=e_5458ed7a1c46 source=n_1c88b968c981 edge_type=refutes target=n_de51eb75640f\nt=0037 ADD_EDGE edge_id=e_8d15820408fd source=n_b40e704e2047 edge_type=refutes target=n_14de06c500e9\nt=0038 ADD_EDGE edge_id=e_f69e95fecb97 source=n_b40e704e2047 edge_type=supports target=n_76b22b90150a\nt=0039 ADD_EDGE edge_id=e_a1377d61f440 source=n_32028e53f850 edge_type=supports target=n_3182cf263c84\nt=0040 ADD_EDGE edge_id=e_58196accb781 source=n_b40e704e2047 edge_type=refutes target=n_c539a8868a73\nt=0041 ADD_EDGE edge_id=e_ad3063e3c79e source=n_ea67a2b01999 edge_type=supports target=n_380fdefdff2f\nt=0042 ADD_EDGE edge_id=e_5d369258caba source=n_fd284d71584b edge_type=refutes target=n_454df59ef597\nt=0043 QUERY source=n_9fe365c9f740 target=n_1c88b968c981\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2104,"provenance":{"base_record_id":"train-d06-026","dataset":"livegraph-deterministic-parity-v3","depth":6,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d06-026","split":"train","variant":"clean"},"record_seed":969628474823156382,"render_sha256":"32669e9467847ea5ae0015e9e1b2fe65f2b89613e69254582bd43b304b5a3c1f","representation":"linear_trace","semantic_sha256":"775a9184d97a62f2a60d83d571c11a4e981dcdb83fdb46acd84dd378ed40cb5a"}
{"char_count":3849,"item_id":"train-d06-027::linear_trace","label":"FALSE","lexical_token_proxy_count":660,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_f04841ace80a node_type=claim\nt=0001 CREATE_NODE id=n_064f6f66b6ee node_type=claim\nt=0002 CREATE_NODE id=n_fdc4e481bc18 node_type=claim\nt=0003 CREATE_NODE id=n_ca424474e283 node_type=claim\nt=0004 CREATE_NODE id=n_984ba763c2a7 node_type=claim\nt=0005 CREATE_NODE id=n_1c1d6b34d436 node_type=claim\nt=0006 CREATE_NODE id=n_f83f9b1199e1 node_type=claim\nt=0007 CREATE_NODE id=n_3cc879b11233 node_type=claim\nt=0008 CREATE_NODE id=n_737de5181098 node_type=claim\nt=0009 CREATE_NODE id=n_0f5bf86a9940 node_type=claim\nt=0010 CREATE_NODE id=n_5564fd99676a node_type=claim\nt=0011 CREATE_NODE id=n_be745f8466cb node_type=claim\nt=0012 CREATE_NODE id=n_5d16425cd19f node_type=claim\nt=0013 CREATE_NODE id=n_03f6784ddbae node_type=claim\nt=0014 CREATE_NODE id=n_9fd5251bb480 node_type=claim\nt=0015 CREATE_NODE id=n_7442a062b399 node_type=claim\nt=0016 CREATE_NODE id=n_a2d7a3be6d92 node_type=claim\nt=0017 CREATE_NODE id=n_e5a7688dcb13 node_type=claim\nt=0018 CREATE_NODE id=n_b40b98e8cd00 node_type=claim\nt=0019 CREATE_NODE id=n_c4fc82968820 node_type=claim\nt=0020 CREATE_NODE id=n_6fe53bf4a71c node_type=claim\nt=0021 CREATE_NODE id=n_fa1ee7e0d7e7 node_type=claim\nt=0022 ASSERT_ROOT node=n_be745f8466cb value=FALSE\nt=0023 ADD_EDGE edge_id=e_6d4b9484e429 source=n_e5a7688dcb13 edge_type=refutes target=n_1c1d6b34d436\nt=0024 ADD_EDGE edge_id=e_bb471e1077b9 source=n_737de5181098 edge_type=supports target=n_6fe53bf4a71c\nt=0025 ADD_EDGE edge_id=e_30d8a34cb2bd source=n_f83f9b1199e1 edge_type=refutes target=n_3cc879b11233\nt=0026 ADD_EDGE edge_id=e_f0788e80bc1c source=n_e5a7688dcb13 edge_type=supports target=n_5d16425cd19f\nt=0027 ADD_EDGE edge_id=e_e24e7b2c6777 source=n_f04841ace80a edge_type=refutes target=n_9fd5251bb480\nt=0028 ADD_EDGE edge_id=e_b6c92215ef98 source=n_9fd5251bb480 edge_type=supports target=n_984ba763c2a7\nt=0029 ADD_EDGE edge_id=e_78c78e1adb77 source=n_e5a7688dcb13 edge_type=refutes target=n_c4fc82968820\nt=0030 ADD_EDGE edge_id=e_2ba129e92785 source=n_f04841ace80a edge_type=refutes target=n_7442a062b399\nt=0031 ADD_EDGE edge_id=e_542f0aada8a3 source=n_6fe53bf4a71c edge_type=supports target=n_a2d7a3be6d92\nt=0032 ADD_EDGE edge_id=e_79cea39d75da source=n_6fe53bf4a71c edge_type=supports target=n_03f6784ddbae\nt=0033 ADD_EDGE edge_id=e_736faf43dd3a source=n_6fe53bf4a71c edge_type=supports target=n_b40b98e8cd00\nt=0034 ADD_EDGE edge_id=e_493c281b33cb source=n_c4fc82968820 edge_type=refutes target=n_064f6f66b6ee\nt=0035 ADD_EDGE edge_id=e_e41ff1817319 source=n_3cc879b11233 edge_type=supports target=n_f04841ace80a\nt=0036 ADD_EDGE edge_id=e_7869a0edbbba source=n_f83f9b1199e1 edge_type=refutes target=n_fa1ee7e0d7e7\nt=0037 ADD_EDGE edge_id=e_fc9059dce5c1 source=n_5d16425cd19f edge_type=refutes target=n_0f5bf86a9940\nt=0038 ADD_EDGE edge_id=e_be2eec3f1e45 source=n_9fd5251bb480 edge_type=supports target=n_5564fd99676a\nt=0039 ADD_EDGE edge_id=e_244c21d562ee source=n_be745f8466cb edge_type=supports target=n_f83f9b1199e1\nt=0040 ADD_EDGE edge_id=e_9d64612b151c source=n_737de5181098 edge_type=supports target=n_e5a7688dcb13\nt=0041 ADD_EDGE edge_id=e_2fc494a25f0d source=n_9fd5251bb480 edge_type=refutes target=n_fdc4e481bc18\nt=0042 ADD_EDGE edge_id=e_53a29e937e38 source=n_fdc4e481bc18 edge_type=refutes target=n_ca424474e283\nt=0043 QUERY source=n_be745f8466cb target=n_ca424474e283\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2081,"provenance":{"base_record_id":"train-d06-027","dataset":"livegraph-deterministic-parity-v3","depth":6,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d06-027","split":"train","variant":"clean"},"record_seed":421370262660774921,"render_sha256":"c9e129c0c4ae8fa4b71f75ac30e9c8f9a95ca03f8794349a7269fbd0ff9d2b5f","representation":"linear_trace","semantic_sha256":"8887f1c7bd61c3ee5df4158bf2d28481dd2e7f7f6f7fc635d5a9bac3085b956b"}
{"char_count":3848,"item_id":"train-d06-028::linear_trace","label":"TRUE","lexical_token_proxy_count":660,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_3df3bd21f452 node_type=claim\nt=0001 CREATE_NODE id=n_0043bd59c66a node_type=claim\nt=0002 CREATE_NODE id=n_4c554a8615ef node_type=claim\nt=0003 CREATE_NODE id=n_749e13e274a1 node_type=claim\nt=0004 CREATE_NODE id=n_bc7ccf383beb node_type=claim\nt=0005 CREATE_NODE id=n_c69640f24a33 node_type=claim\nt=0006 CREATE_NODE id=n_f4453922257b node_type=claim\nt=0007 CREATE_NODE id=n_a5f140eb7ada node_type=claim\nt=0008 CREATE_NODE id=n_cc1a6ff355b6 node_type=claim\nt=0009 CREATE_NODE id=n_7c8d90ceb217 node_type=claim\nt=0010 CREATE_NODE id=n_dbdedb6a9be5 node_type=claim\nt=0011 CREATE_NODE id=n_b3a2382b624a node_type=claim\nt=0012 CREATE_NODE id=n_e21b5230cc50 node_type=claim\nt=0013 CREATE_NODE id=n_468e88ab4e5e node_type=claim\nt=0014 CREATE_NODE id=n_591c72a7d74f node_type=claim\nt=0015 CREATE_NODE id=n_a714d331ee34 node_type=claim\nt=0016 CREATE_NODE id=n_d5eaadd6cbc9 node_type=claim\nt=0017 CREATE_NODE id=n_4a81bc049e5a node_type=claim\nt=0018 CREATE_NODE id=n_98b692b14b18 node_type=claim\nt=0019 CREATE_NODE id=n_2f2a8d2cc6b5 node_type=claim\nt=0020 CREATE_NODE id=n_344a8fc1295a node_type=claim\nt=0021 CREATE_NODE id=n_fbfa67e11037 node_type=claim\nt=0022 ASSERT_ROOT node=n_a714d331ee34 value=TRUE\nt=0023 ADD_EDGE edge_id=e_df54f830c464 source=n_fbfa67e11037 edge_type=refutes target=n_a5f140eb7ada\nt=0024 ADD_EDGE edge_id=e_cca49b312006 source=n_d5eaadd6cbc9 edge_type=refutes target=n_bc7ccf383beb\nt=0025 ADD_EDGE edge_id=e_17915179b687 source=n_0043bd59c66a edge_type=refutes target=n_d5eaadd6cbc9\nt=0026 ADD_EDGE edge_id=e_95535c75b022 source=n_749e13e274a1 edge_type=supports target=n_3df3bd21f452\nt=0027 ADD_EDGE edge_id=e_a02e1bfb1f93 source=n_d5eaadd6cbc9 edge_type=supports target=n_e21b5230cc50\nt=0028 ADD_EDGE edge_id=e_bcabd033bcc4 source=n_3df3bd21f452 edge_type=refutes target=n_344a8fc1295a\nt=0029 ADD_EDGE edge_id=e_f9fe226fa993 source=n_a714d331ee34 edge_type=refutes target=n_cc1a6ff355b6\nt=0030 ADD_EDGE edge_id=e_7f0d809a511a source=n_bc7ccf383beb edge_type=supports target=n_fbfa67e11037\nt=0031 ADD_EDGE edge_id=e_22ac88161ca0 source=n_7c8d90ceb217 edge_type=refutes target=n_4a81bc049e5a\nt=0032 ADD_EDGE edge_id=e_a9d855502072 source=n_0043bd59c66a edge_type=refutes target=n_b3a2382b624a\nt=0033 ADD_EDGE edge_id=e_d696c6202a56 source=n_fbfa67e11037 edge_type=supports target=n_dbdedb6a9be5\nt=0034 ADD_EDGE edge_id=e_d10432e9e900 source=n_d5eaadd6cbc9 edge_type=supports target=n_98b692b14b18\nt=0035 ADD_EDGE edge_id=e_827a06d34343 source=n_a714d331ee34 edge_type=supports target=n_4c554a8615ef\nt=0036 ADD_EDGE edge_id=e_2ee4454c8db0 source=n_344a8fc1295a edge_type=refutes target=n_591c72a7d74f\nt=0037 ADD_EDGE edge_id=e_ad25b10bb09c source=n_4a81bc049e5a edge_type=supports target=n_f4453922257b\nt=0038 ADD_EDGE edge_id=e_923f44a76aca source=n_98b692b14b18 edge_type=refutes target=n_c69640f24a33\nt=0039 ADD_EDGE edge_id=e_977e528e8080 source=n_98b692b14b18 edge_type=supports target=n_2f2a8d2cc6b5\nt=0040 ADD_EDGE edge_id=e_8a990c793de1 source=n_a714d331ee34 edge_type=supports target=n_7c8d90ceb217\nt=0041 ADD_EDGE edge_id=e_1aba71ee7814 source=n_4a81bc049e5a edge_type=refutes target=n_749e13e274a1\nt=0042 ADD_EDGE edge_id=e_a8457d71467e source=n_7c8d90ceb217 edge_type=supports target=n_468e88ab4e5e\nt=0043 QUERY source=n_a714d331ee34 target=n_591c72a7d74f\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2072,"provenance":{"base_record_id":"train-d06-028","dataset":"livegraph-deterministic-parity-v3","depth":6,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d06-028","split":"train","variant":"clean"},"record_seed":129429349905912461,"render_sha256":"a8f91acc1be957511d896584c2f35e257c51a0df46b31381c0b97e142841d133","representation":"linear_trace","semantic_sha256":"0c34f8b5547dd972051d24b8335c1390c2ac299a1f3bc8febdcc961fb6d3caaa"}
{"char_count":3848,"item_id":"train-d06-029::linear_trace","label":"FALSE","lexical_token_proxy_count":660,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_db36b96ce9bd node_type=claim\nt=0001 CREATE_NODE id=n_2cfaf93e3335 node_type=claim\nt=0002 CREATE_NODE id=n_f78bdc0d1c38 node_type=claim\nt=0003 CREATE_NODE id=n_c963e0fd054e node_type=claim\nt=0004 CREATE_NODE id=n_e59f2be5492f node_type=claim\nt=0005 CREATE_NODE id=n_74955faa80b6 node_type=claim\nt=0006 CREATE_NODE id=n_b242af0955d0 node_type=claim\nt=0007 CREATE_NODE id=n_5a0ccf18bf49 node_type=claim\nt=0008 CREATE_NODE id=n_3335605c59e4 node_type=claim\nt=0009 CREATE_NODE id=n_75ad4cb5c938 node_type=claim\nt=0010 CREATE_NODE id=n_1fbd6b350c7d node_type=claim\nt=0011 CREATE_NODE id=n_1ad3e949c402 node_type=claim\nt=0012 CREATE_NODE id=n_e371b6a8513c node_type=claim\nt=0013 CREATE_NODE id=n_2b4825dbd6ba node_type=claim\nt=0014 CREATE_NODE id=n_60f0e66a0125 node_type=claim\nt=0015 CREATE_NODE id=n_92061149eef7 node_type=claim\nt=0016 CREATE_NODE id=n_b80242eec93b node_type=claim\nt=0017 CREATE_NODE id=n_46f5f3b8f1d6 node_type=claim\nt=0018 CREATE_NODE id=n_579543f6f039 node_type=claim\nt=0019 CREATE_NODE id=n_af3c66d437cf node_type=claim\nt=0020 CREATE_NODE id=n_2f678a74c775 node_type=claim\nt=0021 CREATE_NODE id=n_ea707a8ba6fc node_type=claim\nt=0022 ASSERT_ROOT node=n_60f0e66a0125 value=TRUE\nt=0023 ADD_EDGE edge_id=e_820eb936fa6d source=n_60f0e66a0125 edge_type=supports target=n_af3c66d437cf\nt=0024 ADD_EDGE edge_id=e_36bd43ab8294 source=n_af3c66d437cf edge_type=supports target=n_1ad3e949c402\nt=0025 ADD_EDGE edge_id=e_1135cabd902a source=n_74955faa80b6 edge_type=supports target=n_b242af0955d0\nt=0026 ADD_EDGE edge_id=e_4cc91faf65b2 source=n_e59f2be5492f edge_type=refutes target=n_74955faa80b6\nt=0027 ADD_EDGE edge_id=e_ad4da5196a2c source=n_74955faa80b6 edge_type=supports target=n_3335605c59e4\nt=0028 ADD_EDGE edge_id=e_310a9c7f72bf source=n_2cfaf93e3335 edge_type=refutes target=n_46f5f3b8f1d6\nt=0029 ADD_EDGE edge_id=e_34719d2362c9 source=n_579543f6f039 edge_type=refutes target=n_75ad4cb5c938\nt=0030 ADD_EDGE edge_id=e_f56a9f418bfe source=n_2b4825dbd6ba edge_type=refutes target=n_2cfaf93e3335\nt=0031 ADD_EDGE edge_id=e_a90f0e3130c0 source=n_e59f2be5492f edge_type=refutes target=n_f78bdc0d1c38\nt=0032 ADD_EDGE edge_id=e_d67a3a61d861 source=n_60f0e66a0125 edge_type=refutes target=n_b80242eec93b\nt=0033 ADD_EDGE edge_id=e_2a176e2028e1 source=n_75ad4cb5c938 edge_type=refutes target=n_e371b6a8513c\nt=0034 ADD_EDGE edge_id=e_2859f63c6c9f source=n_5a0ccf18bf49 edge_type=supports target=n_db36b96ce9bd\nt=0035 ADD_EDGE edge_id=e_e4f382e601ff source=n_74955faa80b6 edge_type=supports target=n_2b4825dbd6ba\nt=0036 ADD_EDGE edge_id=e_c3baa7ddd926 source=n_af3c66d437cf edge_type=supports target=n_579543f6f039\nt=0037 ADD_EDGE edge_id=e_8fc7d7474e64 source=n_2cfaf93e3335 edge_type=supports target=n_c963e0fd054e\nt=0038 ADD_EDGE edge_id=e_1094eb123419 source=n_e371b6a8513c edge_type=refutes target=n_5a0ccf18bf49\nt=0039 ADD_EDGE edge_id=e_748daf216536 source=n_74955faa80b6 edge_type=supports target=n_ea707a8ba6fc\nt=0040 ADD_EDGE edge_id=e_3d77068e63ff source=n_db36b96ce9bd edge_type=refutes target=n_92061149eef7\nt=0041 ADD_EDGE edge_id=e_4ce33a8eea4c source=n_46f5f3b8f1d6 edge_type=supports target=n_2f678a74c775\nt=0042 ADD_EDGE edge_id=e_198a4b893981 source=n_60f0e66a0125 edge_type=refutes target=n_1fbd6b350c7d\nt=0043 QUERY source=n_60f0e66a0125 target=n_db36b96ce9bd\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2085,"provenance":{"base_record_id":"train-d06-029","dataset":"livegraph-deterministic-parity-v3","depth":6,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d06-029","split":"train","variant":"clean"},"record_seed":366269012418150408,"render_sha256":"9129e58cdf235fe229dee6eb80ca12ab4f72b3edc3a7f4ab57b0edaa544f6d49","representation":"linear_trace","semantic_sha256":"e36e8960ac9a02ec8959aa6244096e7119a265a7deba528921737e1cec625a98"}
{"char_count":3849,"item_id":"train-d06-030::linear_trace","label":"TRUE","lexical_token_proxy_count":660,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_eca415daec33 node_type=claim\nt=0001 CREATE_NODE id=n_85c2d58f1d33 node_type=claim\nt=0002 CREATE_NODE id=n_c3aa1336b001 node_type=claim\nt=0003 CREATE_NODE id=n_e68746e25574 node_type=claim\nt=0004 CREATE_NODE id=n_16380ba8152d node_type=claim\nt=0005 CREATE_NODE id=n_87e4bea3ab24 node_type=claim\nt=0006 CREATE_NODE id=n_e17f624271d3 node_type=claim\nt=0007 CREATE_NODE id=n_f4d8f06462f2 node_type=claim\nt=0008 CREATE_NODE id=n_3c3daef774e2 node_type=claim\nt=0009 CREATE_NODE id=n_52acb805d1cf node_type=claim\nt=0010 CREATE_NODE id=n_68cfd8d91bee node_type=claim\nt=0011 CREATE_NODE id=n_0f74a115e9c2 node_type=claim\nt=0012 CREATE_NODE id=n_32d253e4dd01 node_type=claim\nt=0013 CREATE_NODE id=n_77baca76dfd3 node_type=claim\nt=0014 CREATE_NODE id=n_fa5ed24e8232 node_type=claim\nt=0015 CREATE_NODE id=n_0a64203b9459 node_type=claim\nt=0016 CREATE_NODE id=n_d053a46b6baf node_type=claim\nt=0017 CREATE_NODE id=n_3c2c9a051cad node_type=claim\nt=0018 CREATE_NODE id=n_75b284342d67 node_type=claim\nt=0019 CREATE_NODE id=n_d1e3e0d0ff11 node_type=claim\nt=0020 CREATE_NODE id=n_800d17c98aa4 node_type=claim\nt=0021 CREATE_NODE id=n_37c0140e9b22 node_type=claim\nt=0022 ASSERT_ROOT node=n_d053a46b6baf value=FALSE\nt=0023 ADD_EDGE edge_id=e_34f22c976beb source=n_0f74a115e9c2 edge_type=refutes target=n_37c0140e9b22\nt=0024 ADD_EDGE edge_id=e_4e3a0ce5dd8a source=n_f4d8f06462f2 edge_type=supports target=n_3c2c9a051cad\nt=0025 ADD_EDGE edge_id=e_9154f1e85343 source=n_eca415daec33 edge_type=refutes target=n_75b284342d67\nt=0026 ADD_EDGE edge_id=e_986954dfb1b7 source=n_16380ba8152d edge_type=refutes target=n_d1e3e0d0ff11\nt=0027 ADD_EDGE edge_id=e_d0c0f01e6d47 source=n_d053a46b6baf edge_type=refutes target=n_16380ba8152d\nt=0028 ADD_EDGE edge_id=e_e508e831e75f source=n_87e4bea3ab24 edge_type=refutes target=n_77baca76dfd3\nt=0029 ADD_EDGE edge_id=e_bc39c249fc4a source=n_e68746e25574 edge_type=supports target=n_0f74a115e9c2\nt=0030 ADD_EDGE edge_id=e_b3df9c2e7e2e source=n_75b284342d67 edge_type=refutes target=n_52acb805d1cf\nt=0031 ADD_EDGE edge_id=e_fd92a6e8b045 source=n_37c0140e9b22 edge_type=refutes target=n_3c3daef774e2\nt=0032 ADD_EDGE edge_id=e_0d4db0776937 source=n_37c0140e9b22 edge_type=supports target=n_800d17c98aa4\nt=0033 ADD_EDGE edge_id=e_cd8b01ffebed source=n_eca415daec33 edge_type=refutes target=n_68cfd8d91bee\nt=0034 ADD_EDGE edge_id=e_80facaf506f1 source=n_f4d8f06462f2 edge_type=supports target=n_eca415daec33\nt=0035 ADD_EDGE edge_id=e_3ffc54a0db4c source=n_0f74a115e9c2 edge_type=supports target=n_e17f624271d3\nt=0036 ADD_EDGE edge_id=e_c939b9136ad9 source=n_87e4bea3ab24 edge_type=refutes target=n_85c2d58f1d33\nt=0037 ADD_EDGE edge_id=e_50fd773ae0ed source=n_3c2c9a051cad edge_type=refutes target=n_32d253e4dd01\nt=0038 ADD_EDGE edge_id=e_942ebfa0cb9e source=n_3c2c9a051cad edge_type=supports target=n_87e4bea3ab24\nt=0039 ADD_EDGE edge_id=e_1a2cd8a6f334 source=n_0a64203b9459 edge_type=supports target=n_e68746e25574\nt=0040 ADD_EDGE edge_id=e_88a382fd83e6 source=n_f4d8f06462f2 edge_type=supports target=n_fa5ed24e8232\nt=0041 ADD_EDGE edge_id=e_0474d1043a48 source=n_16380ba8152d edge_type=supports target=n_0a64203b9459\nt=0042 ADD_EDGE edge_id=e_e9c6793454b9 source=n_37c0140e9b22 edge_type=supports target=n_c3aa1336b001\nt=0043 QUERY source=n_d053a46b6baf target=n_3c3daef774e2\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2086,"provenance":{"base_record_id":"train-d06-030","dataset":"livegraph-deterministic-parity-v3","depth":6,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d06-030","split":"train","variant":"clean"},"record_seed":65133199146415678,"render_sha256":"446b4b87a02d20530e3e8a8f4ec087e7734aa32204c20b1073af21c31f35aa08","representation":"linear_trace","semantic_sha256":"0333260bc599d0574c03469979ee3bd52d06b5fa8416f798a9ae7f27dec7d45c"}
{"char_count":3849,"item_id":"train-d06-031::linear_trace","label":"FALSE","lexical_token_proxy_count":660,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_e6f1823eefa1 node_type=claim\nt=0001 CREATE_NODE id=n_67c5069e316e node_type=claim\nt=0002 CREATE_NODE id=n_772a284fda11 node_type=claim\nt=0003 CREATE_NODE id=n_14ab2e802e50 node_type=claim\nt=0004 CREATE_NODE id=n_918197ddf611 node_type=claim\nt=0005 CREATE_NODE id=n_7661ca0834d4 node_type=claim\nt=0006 CREATE_NODE id=n_537c807401a4 node_type=claim\nt=0007 CREATE_NODE id=n_e7547d298311 node_type=claim\nt=0008 CREATE_NODE id=n_3b1df29c1e38 node_type=claim\nt=0009 CREATE_NODE id=n_4d1db38b9c67 node_type=claim\nt=0010 CREATE_NODE id=n_60f951e84020 node_type=claim\nt=0011 CREATE_NODE id=n_4e0d63d3d8e1 node_type=claim\nt=0012 CREATE_NODE id=n_518b1aef7141 node_type=claim\nt=0013 CREATE_NODE id=n_3cc08c8e0f41 node_type=claim\nt=0014 CREATE_NODE id=n_4d29abd3e124 node_type=claim\nt=0015 CREATE_NODE id=n_21290e749070 node_type=claim\nt=0016 CREATE_NODE id=n_4ecad2cb2449 node_type=claim\nt=0017 CREATE_NODE id=n_730f978c083c node_type=claim\nt=0018 CREATE_NODE id=n_51a3ef28d1dd node_type=claim\nt=0019 CREATE_NODE id=n_bb6ddb2e2537 node_type=claim\nt=0020 CREATE_NODE id=n_eac1f35545bc node_type=claim\nt=0021 CREATE_NODE id=n_ddc35fa0dc17 node_type=claim\nt=0022 ASSERT_ROOT node=n_bb6ddb2e2537 value=FALSE\nt=0023 ADD_EDGE edge_id=e_e9fa494aeec6 source=n_4d29abd3e124 edge_type=supports target=n_3b1df29c1e38\nt=0024 ADD_EDGE edge_id=e_002148a3257e source=n_4d29abd3e124 edge_type=supports target=n_ddc35fa0dc17\nt=0025 ADD_EDGE edge_id=e_c9a12030d627 source=n_772a284fda11 edge_type=supports target=n_e6f1823eefa1\nt=0026 ADD_EDGE edge_id=e_b56e287e76ef source=n_bb6ddb2e2537 edge_type=supports target=n_4d1db38b9c67\nt=0027 ADD_EDGE edge_id=e_fd79131ee8e8 source=n_21290e749070 edge_type=supports target=n_918197ddf611\nt=0028 ADD_EDGE edge_id=e_f142182aa0ef source=n_772a284fda11 edge_type=supports target=n_730f978c083c\nt=0029 ADD_EDGE edge_id=e_2c8dc21a400e source=n_4d1db38b9c67 edge_type=supports target=n_772a284fda11\nt=0030 ADD_EDGE edge_id=e_c2e85edf087a source=n_7661ca0834d4 edge_type=refutes target=n_537c807401a4\nt=0031 ADD_EDGE edge_id=e_9d2624007bb0 source=n_7661ca0834d4 edge_type=refutes target=n_60f951e84020\nt=0032 ADD_EDGE edge_id=e_d1f1b99616bd source=n_60f951e84020 edge_type=supports target=n_3cc08c8e0f41\nt=0033 ADD_EDGE edge_id=e_aeaa32a1a4f2 source=n_918197ddf611 edge_type=supports target=n_7661ca0834d4\nt=0034 ADD_EDGE edge_id=e_608dd307c5be source=n_4ecad2cb2449 edge_type=refutes target=n_14ab2e802e50\nt=0035 ADD_EDGE edge_id=e_ed0abdf48e84 source=n_918197ddf611 edge_type=refutes target=n_eac1f35545bc\nt=0036 ADD_EDGE edge_id=e_0cc142e62e5a source=n_eac1f35545bc edge_type=refutes target=n_67c5069e316e\nt=0037 ADD_EDGE edge_id=e_eafff207bc95 source=n_14ab2e802e50 edge_type=supports target=n_4d29abd3e124\nt=0038 ADD_EDGE edge_id=e_d6d43b05d293 source=n_772a284fda11 edge_type=refutes target=n_4ecad2cb2449\nt=0039 ADD_EDGE edge_id=e_16a85265e87f source=n_51a3ef28d1dd edge_type=refutes target=n_21290e749070\nt=0040 ADD_EDGE edge_id=e_cf2842b163c7 source=n_eac1f35545bc edge_type=refutes target=n_e7547d298311\nt=0041 ADD_EDGE edge_id=e_bdf81e08fbe7 source=n_eac1f35545bc edge_type=refutes target=n_518b1aef7141\nt=0042 ADD_EDGE edge_id=e_bba514940450 source=n_4d29abd3e124 edge_type=refutes target=n_4e0d63d3d8e1\nt=0043 QUERY source=n_bb6ddb2e2537 target=n_3b1df29c1e38\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2082,"provenance":{"base_record_id":"train-d06-031","dataset":"livegraph-deterministic-parity-v3","depth":6,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d06-031","split":"train","variant":"clean"},"record_seed":436737701090846405,"render_sha256":"60d2d4314f26581614820da46afc53f9dfc2dfa8b6d6310bd2d68d056f928b34","representation":"linear_trace","semantic_sha256":"259c929158afc8d77e00fdec46993b3ebc0983ea198ba7846d57a8cec3e712d4"}
{"char_count":3848,"item_id":"train-d06-032::linear_trace","label":"TRUE","lexical_token_proxy_count":660,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_edc6d773a7f4 node_type=claim\nt=0001 CREATE_NODE id=n_b65570c71bb8 node_type=claim\nt=0002 CREATE_NODE id=n_81c10b79d0c0 node_type=claim\nt=0003 CREATE_NODE id=n_145bf2d84d93 node_type=claim\nt=0004 CREATE_NODE id=n_a8dd016b9c1e node_type=claim\nt=0005 CREATE_NODE id=n_072a0ad640c8 node_type=claim\nt=0006 CREATE_NODE id=n_4a82da44ac11 node_type=claim\nt=0007 CREATE_NODE id=n_3c5015e51d2e node_type=claim\nt=0008 CREATE_NODE id=n_ed7428218baa node_type=claim\nt=0009 CREATE_NODE id=n_28336be974fa node_type=claim\nt=0010 CREATE_NODE id=n_f9cb8a99a942 node_type=claim\nt=0011 CREATE_NODE id=n_9431e1356395 node_type=claim\nt=0012 CREATE_NODE id=n_b8e373ef71f8 node_type=claim\nt=0013 CREATE_NODE id=n_f6cdd94ab27e node_type=claim\nt=0014 CREATE_NODE id=n_a5c815731fc5 node_type=claim\nt=0015 CREATE_NODE id=n_5f6659c46f7f node_type=claim\nt=0016 CREATE_NODE id=n_3e841bb534de node_type=claim\nt=0017 CREATE_NODE id=n_9ea2d88b244b node_type=claim\nt=0018 CREATE_NODE id=n_f8006d07ec04 node_type=claim\nt=0019 CREATE_NODE id=n_3002901996c8 node_type=claim\nt=0020 CREATE_NODE id=n_d51d55b6dec5 node_type=claim\nt=0021 CREATE_NODE id=n_129b89596ca8 node_type=claim\nt=0022 ASSERT_ROOT node=n_b65570c71bb8 value=TRUE\nt=0023 ADD_EDGE edge_id=e_563df8487f6f source=n_b8e373ef71f8 edge_type=supports target=n_f9cb8a99a942\nt=0024 ADD_EDGE edge_id=e_3fa9ebc048e9 source=n_f6cdd94ab27e edge_type=supports target=n_f8006d07ec04\nt=0025 ADD_EDGE edge_id=e_6432ebcd3e0d source=n_edc6d773a7f4 edge_type=refutes target=n_9431e1356395\nt=0026 ADD_EDGE edge_id=e_57f8c8124e78 source=n_ed7428218baa edge_type=supports target=n_129b89596ca8\nt=0027 ADD_EDGE edge_id=e_1283da42036d source=n_edc6d773a7f4 edge_type=supports target=n_81c10b79d0c0\nt=0028 ADD_EDGE edge_id=e_9e4d3fbceda8 source=n_b65570c71bb8 edge_type=refutes target=n_b8e373ef71f8\nt=0029 ADD_EDGE edge_id=e_a3eb4b7eb9d7 source=n_3e841bb534de edge_type=refutes target=n_9ea2d88b244b\nt=0030 ADD_EDGE edge_id=e_cbf53e14be4a source=n_145bf2d84d93 edge_type=supports target=n_3002901996c8\nt=0031 ADD_EDGE edge_id=e_de50be0825d3 source=n_d51d55b6dec5 edge_type=refutes target=n_edc6d773a7f4\nt=0032 ADD_EDGE edge_id=e_392929e424ff source=n_9431e1356395 edge_type=supports target=n_a5c815731fc5\nt=0033 ADD_EDGE edge_id=e_0d99f4929f61 source=n_28336be974fa edge_type=refutes target=n_3c5015e51d2e\nt=0034 ADD_EDGE edge_id=e_e57afd39dbcc source=n_f6cdd94ab27e edge_type=refutes target=n_ed7428218baa\nt=0035 ADD_EDGE edge_id=e_788893a71bbd source=n_28336be974fa edge_type=supports target=n_a8dd016b9c1e\nt=0036 ADD_EDGE edge_id=e_328fab1fb2f5 source=n_145bf2d84d93 edge_type=refutes target=n_28336be974fa\nt=0037 ADD_EDGE edge_id=e_bcd41dd5c3c3 source=n_4a82da44ac11 edge_type=refutes target=n_072a0ad640c8\nt=0038 ADD_EDGE edge_id=e_4c203961b1a7 source=n_ed7428218baa edge_type=refutes target=n_4a82da44ac11\nt=0039 ADD_EDGE edge_id=e_feb48b01bd61 source=n_d51d55b6dec5 edge_type=supports target=n_5f6659c46f7f\nt=0040 ADD_EDGE edge_id=e_f55d939555dc source=n_3e841bb534de edge_type=supports target=n_f6cdd94ab27e\nt=0041 ADD_EDGE edge_id=e_3c9fc4f25c3b source=n_b8e373ef71f8 edge_type=supports target=n_3e841bb534de\nt=0042 ADD_EDGE edge_id=e_4c2376b69643 source=n_9431e1356395 edge_type=refutes target=n_145bf2d84d93\nt=0043 QUERY source=n_b65570c71bb8 target=n_072a0ad640c8\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2081,"provenance":{"base_record_id":"train-d06-032","dataset":"livegraph-deterministic-parity-v3","depth":6,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d06-032","split":"train","variant":"clean"},"record_seed":997135572618281389,"render_sha256":"dca54b0ecf4550b353beac48eebc747f8b5b694c3a8ef054a7c2d3aa4510a0db","representation":"linear_trace","semantic_sha256":"1b1af8c4326f15f4d94890d5a4b25a714d6202967e3bc7352f131fc4e25c97d3"}
{"char_count":3848,"item_id":"train-d06-033::linear_trace","label":"FALSE","lexical_token_proxy_count":660,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_283b43bbad14 node_type=claim\nt=0001 CREATE_NODE id=n_bf9fd0e3594f node_type=claim\nt=0002 CREATE_NODE id=n_d3d9ae72600f node_type=claim\nt=0003 CREATE_NODE id=n_e13e87d36046 node_type=claim\nt=0004 CREATE_NODE id=n_8d6aec116104 node_type=claim\nt=0005 CREATE_NODE id=n_cb0366c97419 node_type=claim\nt=0006 CREATE_NODE id=n_542dd636d3c9 node_type=claim\nt=0007 CREATE_NODE id=n_4ac764f2b8aa node_type=claim\nt=0008 CREATE_NODE id=n_0a33834e1184 node_type=claim\nt=0009 CREATE_NODE id=n_5a289698e892 node_type=claim\nt=0010 CREATE_NODE id=n_d35984bba5df node_type=claim\nt=0011 CREATE_NODE id=n_e1517cc63d89 node_type=claim\nt=0012 CREATE_NODE id=n_c2293eb027fa node_type=claim\nt=0013 CREATE_NODE id=n_7dc0686dff0c node_type=claim\nt=0014 CREATE_NODE id=n_fd5ab5561c1e node_type=claim\nt=0015 CREATE_NODE id=n_93509512ac29 node_type=claim\nt=0016 CREATE_NODE id=n_753ac7e5dc51 node_type=claim\nt=0017 CREATE_NODE id=n_fef1789b98ce node_type=claim\nt=0018 CREATE_NODE id=n_eb7899f75618 node_type=claim\nt=0019 CREATE_NODE id=n_9a9242aceba2 node_type=claim\nt=0020 CREATE_NODE id=n_3bffbfc49b1c node_type=claim\nt=0021 CREATE_NODE id=n_80941f98b6a1 node_type=claim\nt=0022 ASSERT_ROOT node=n_eb7899f75618 value=TRUE\nt=0023 ADD_EDGE edge_id=e_6f9c824fca87 source=n_fd5ab5561c1e edge_type=refutes target=n_bf9fd0e3594f\nt=0024 ADD_EDGE edge_id=e_8b78eb766080 source=n_fef1789b98ce edge_type=refutes target=n_4ac764f2b8aa\nt=0025 ADD_EDGE edge_id=e_2f815995cf73 source=n_93509512ac29 edge_type=refutes target=n_fd5ab5561c1e\nt=0026 ADD_EDGE edge_id=e_e2ea32b745bf source=n_fef1789b98ce edge_type=supports target=n_7dc0686dff0c\nt=0027 ADD_EDGE edge_id=e_0d9ba5302114 source=n_9a9242aceba2 edge_type=refutes target=n_fef1789b98ce\nt=0028 ADD_EDGE edge_id=e_ab990093e547 source=n_753ac7e5dc51 edge_type=supports target=n_80941f98b6a1\nt=0029 ADD_EDGE edge_id=e_79f367c4f53d source=n_d35984bba5df edge_type=supports target=n_753ac7e5dc51\nt=0030 ADD_EDGE edge_id=e_6e2bbd6d7d39 source=n_283b43bbad14 edge_type=supports target=n_e13e87d36046\nt=0031 ADD_EDGE edge_id=e_24b4605c64ba source=n_e1517cc63d89 edge_type=refutes target=n_3bffbfc49b1c\nt=0032 ADD_EDGE edge_id=e_ea7e7e4a504b source=n_9a9242aceba2 edge_type=supports target=n_5a289698e892\nt=0033 ADD_EDGE edge_id=e_3371c1c43e89 source=n_4ac764f2b8aa edge_type=supports target=n_c2293eb027fa\nt=0034 ADD_EDGE edge_id=e_37dc884e34bf source=n_e1517cc63d89 edge_type=supports target=n_cb0366c97419\nt=0035 ADD_EDGE edge_id=e_ad177c840846 source=n_d3d9ae72600f edge_type=refutes target=n_0a33834e1184\nt=0036 ADD_EDGE edge_id=e_9e2c1f4df210 source=n_bf9fd0e3594f edge_type=refutes target=n_8d6aec116104\nt=0037 ADD_EDGE edge_id=e_c4510ffbea42 source=n_9a9242aceba2 edge_type=refutes target=n_542dd636d3c9\nt=0038 ADD_EDGE edge_id=e_979d4228686f source=n_c2293eb027fa edge_type=refutes target=n_e1517cc63d89\nt=0039 ADD_EDGE edge_id=e_1df46c36817f source=n_d35984bba5df edge_type=supports target=n_283b43bbad14\nt=0040 ADD_EDGE edge_id=e_cc1b979dd32d source=n_eb7899f75618 edge_type=supports target=n_9a9242aceba2\nt=0041 ADD_EDGE edge_id=e_553d4eda6172 source=n_fd5ab5561c1e edge_type=refutes target=n_d35984bba5df\nt=0042 ADD_EDGE edge_id=e_687505155368 source=n_fd5ab5561c1e edge_type=supports target=n_d3d9ae72600f\nt=0043 QUERY source=n_eb7899f75618 target=n_cb0366c97419\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2065,"provenance":{"base_record_id":"train-d06-033","dataset":"livegraph-deterministic-parity-v3","depth":6,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d06-033","split":"train","variant":"clean"},"record_seed":203383547637783226,"render_sha256":"ae3281d33a35b434d46cebd1eb7a90fb62b5c6c0ecc3611eb477ef7f0be8b74f","representation":"linear_trace","semantic_sha256":"f2010c157f20f4e04e30bbfa1541d5f6e3fd0a2d1e26a5ec836f91b7a9bce955"}
{"char_count":3849,"item_id":"train-d06-034::linear_trace","label":"TRUE","lexical_token_proxy_count":660,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_1c8dc0121842 node_type=claim\nt=0001 CREATE_NODE id=n_26008389fa58 node_type=claim\nt=0002 CREATE_NODE id=n_47f5126b6575 node_type=claim\nt=0003 CREATE_NODE id=n_ae6ca40d04d1 node_type=claim\nt=0004 CREATE_NODE id=n_5c5ee6c8800d node_type=claim\nt=0005 CREATE_NODE id=n_05333de62edf node_type=claim\nt=0006 CREATE_NODE id=n_2167e61829c8 node_type=claim\nt=0007 CREATE_NODE id=n_58f62d7454ad node_type=claim\nt=0008 CREATE_NODE id=n_5bc09f81391c node_type=claim\nt=0009 CREATE_NODE id=n_4bd0ee070e47 node_type=claim\nt=0010 CREATE_NODE id=n_c9a9a24e2d78 node_type=claim\nt=0011 CREATE_NODE id=n_2e9a194b4bfd node_type=claim\nt=0012 CREATE_NODE id=n_fef54c786bd5 node_type=claim\nt=0013 CREATE_NODE id=n_fe1a9df1d64a node_type=claim\nt=0014 CREATE_NODE id=n_028aeda058de node_type=claim\nt=0015 CREATE_NODE id=n_217b37bf62bc node_type=claim\nt=0016 CREATE_NODE id=n_57759e368dc9 node_type=claim\nt=0017 CREATE_NODE id=n_fedaf8da8791 node_type=claim\nt=0018 CREATE_NODE id=n_e984a649eef8 node_type=claim\nt=0019 CREATE_NODE id=n_0b18e5abb7ea node_type=claim\nt=0020 CREATE_NODE id=n_3bc3db965cd8 node_type=claim\nt=0021 CREATE_NODE id=n_9aeaae0dde3b node_type=claim\nt=0022 ASSERT_ROOT node=n_57759e368dc9 value=FALSE\nt=0023 ADD_EDGE edge_id=e_75d74f36c68a source=n_57759e368dc9 edge_type=refutes target=n_e984a649eef8\nt=0024 ADD_EDGE edge_id=e_dca3a9d56a81 source=n_1c8dc0121842 edge_type=supports target=n_ae6ca40d04d1\nt=0025 ADD_EDGE edge_id=e_e540ca111da9 source=n_5c5ee6c8800d edge_type=supports target=n_26008389fa58\nt=0026 ADD_EDGE edge_id=e_fed57df10f38 source=n_5c5ee6c8800d edge_type=refutes target=n_47f5126b6575\nt=0027 ADD_EDGE edge_id=e_31ba455d9af7 source=n_ae6ca40d04d1 edge_type=supports target=n_fedaf8da8791\nt=0028 ADD_EDGE edge_id=e_9cffc2464b5d source=n_fef54c786bd5 edge_type=supports target=n_58f62d7454ad\nt=0029 ADD_EDGE edge_id=e_ba33e54df4f1 source=n_1c8dc0121842 edge_type=refutes target=n_c9a9a24e2d78\nt=0030 ADD_EDGE edge_id=e_c7ae49d69a4c source=n_4bd0ee070e47 edge_type=supports target=n_fef54c786bd5\nt=0031 ADD_EDGE edge_id=e_9f02e3775bab source=n_1c8dc0121842 edge_type=supports target=n_5c5ee6c8800d\nt=0032 ADD_EDGE edge_id=e_26a2fe82aeb8 source=n_fedaf8da8791 edge_type=refutes target=n_0b18e5abb7ea\nt=0033 ADD_EDGE edge_id=e_bb18a0365c1f source=n_4bd0ee070e47 edge_type=refutes target=n_fe1a9df1d64a\nt=0034 ADD_EDGE edge_id=e_0c065b55412c source=n_1c8dc0121842 edge_type=supports target=n_9aeaae0dde3b\nt=0035 ADD_EDGE edge_id=e_2b2ebfa9725a source=n_58f62d7454ad edge_type=supports target=n_028aeda058de\nt=0036 ADD_EDGE edge_id=e_539405c90d68 source=n_e984a649eef8 edge_type=refutes target=n_217b37bf62bc\nt=0037 ADD_EDGE edge_id=e_8009a90af5eb source=n_58f62d7454ad edge_type=supports target=n_05333de62edf\nt=0038 ADD_EDGE edge_id=e_45026e378095 source=n_217b37bf62bc edge_type=refutes target=n_4bd0ee070e47\nt=0039 ADD_EDGE edge_id=e_f44e7221d5d9 source=n_ae6ca40d04d1 edge_type=supports target=n_5bc09f81391c\nt=0040 ADD_EDGE edge_id=e_0fe474e827f9 source=n_fef54c786bd5 edge_type=refutes target=n_2e9a194b4bfd\nt=0041 ADD_EDGE edge_id=e_bbc0bf58107c source=n_fedaf8da8791 edge_type=refutes target=n_2167e61829c8\nt=0042 ADD_EDGE edge_id=e_0baa7930d3c3 source=n_e984a649eef8 edge_type=refutes target=n_3bc3db965cd8\nt=0043 QUERY source=n_57759e368dc9 target=n_05333de62edf\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2051,"provenance":{"base_record_id":"train-d06-034","dataset":"livegraph-deterministic-parity-v3","depth":6,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d06-034","split":"train","variant":"clean"},"record_seed":327163336751419075,"render_sha256":"1c3fe9ee45b7529dbb2f61375bbdc0e3d04c295f25d49511023309585806bf95","representation":"linear_trace","semantic_sha256":"9b0d96a87623042dd80246f7cd39c8d846985fb3371b34ccc68c03c85e58a4ba"}
{"char_count":3849,"item_id":"train-d06-035::linear_trace","label":"FALSE","lexical_token_proxy_count":660,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_9dd8927a9d92 node_type=claim\nt=0001 CREATE_NODE id=n_66587460ae1c node_type=claim\nt=0002 CREATE_NODE id=n_4ac256aee830 node_type=claim\nt=0003 CREATE_NODE id=n_40173f2b206a node_type=claim\nt=0004 CREATE_NODE id=n_d3cda5e9fb4b node_type=claim\nt=0005 CREATE_NODE id=n_49f7040458e8 node_type=claim\nt=0006 CREATE_NODE id=n_eeaf7e304a74 node_type=claim\nt=0007 CREATE_NODE id=n_d055934446cd node_type=claim\nt=0008 CREATE_NODE id=n_8d4dd3f77574 node_type=claim\nt=0009 CREATE_NODE id=n_625ffd53f9bb node_type=claim\nt=0010 CREATE_NODE id=n_52639219fe8e node_type=claim\nt=0011 CREATE_NODE id=n_441d16c9541f node_type=claim\nt=0012 CREATE_NODE id=n_8749a04de2a8 node_type=claim\nt=0013 CREATE_NODE id=n_a056779f3660 node_type=claim\nt=0014 CREATE_NODE id=n_2915a3727c00 node_type=claim\nt=0015 CREATE_NODE id=n_e3ff335057e9 node_type=claim\nt=0016 CREATE_NODE id=n_f3bc5fbd59a3 node_type=claim\nt=0017 CREATE_NODE id=n_a0037ee304f1 node_type=claim\nt=0018 CREATE_NODE id=n_4847fb3f462c node_type=claim\nt=0019 CREATE_NODE id=n_85f8a6b29a8d node_type=claim\nt=0020 CREATE_NODE id=n_121b989d9522 node_type=claim\nt=0021 CREATE_NODE id=n_3acac25b59a2 node_type=claim\nt=0022 ASSERT_ROOT node=n_4847fb3f462c value=FALSE\nt=0023 ADD_EDGE edge_id=e_b2393cf5cdf1 source=n_3acac25b59a2 edge_type=refutes target=n_52639219fe8e\nt=0024 ADD_EDGE edge_id=e_a41f674d9412 source=n_441d16c9541f edge_type=supports target=n_85f8a6b29a8d\nt=0025 ADD_EDGE edge_id=e_af3089de1867 source=n_e3ff335057e9 edge_type=supports target=n_a0037ee304f1\nt=0026 ADD_EDGE edge_id=e_9e362a3dbd0e source=n_eeaf7e304a74 edge_type=refutes target=n_8749a04de2a8\nt=0027 ADD_EDGE edge_id=e_3a62c95137ea source=n_85f8a6b29a8d edge_type=refutes target=n_49f7040458e8\nt=0028 ADD_EDGE edge_id=e_69c6f1cf53b6 source=n_4847fb3f462c edge_type=refutes target=n_d3cda5e9fb4b\nt=0029 ADD_EDGE edge_id=e_975d51ec5d74 source=n_52639219fe8e edge_type=supports target=n_8d4dd3f77574\nt=0030 ADD_EDGE edge_id=e_0135634889c0 source=n_49f7040458e8 edge_type=refutes target=n_3acac25b59a2\nt=0031 ADD_EDGE edge_id=e_141afa1f5a03 source=n_66587460ae1c edge_type=supports target=n_40173f2b206a\nt=0032 ADD_EDGE edge_id=e_4f6100c850e3 source=n_eeaf7e304a74 edge_type=supports target=n_d055934446cd\nt=0033 ADD_EDGE edge_id=e_42756b3f03e5 source=n_a0037ee304f1 edge_type=supports target=n_a056779f3660\nt=0034 ADD_EDGE edge_id=e_d02dc7c43359 source=n_a056779f3660 edge_type=refutes target=n_f3bc5fbd59a3\nt=0035 ADD_EDGE edge_id=e_acb27489fe07 source=n_e3ff335057e9 edge_type=refutes target=n_625ffd53f9bb\nt=0036 ADD_EDGE edge_id=e_b10002a4fd55 source=n_d3cda5e9fb4b edge_type=supports target=n_441d16c9541f\nt=0037 ADD_EDGE edge_id=e_2ca254da58e2 source=n_40173f2b206a edge_type=supports target=n_e3ff335057e9\nt=0038 ADD_EDGE edge_id=e_6e71b6259215 source=n_49f7040458e8 edge_type=supports target=n_9dd8927a9d92\nt=0039 ADD_EDGE edge_id=e_ec8d61b0b555 source=n_a0037ee304f1 edge_type=refutes target=n_eeaf7e304a74\nt=0040 ADD_EDGE edge_id=e_4033d6366f88 source=n_a0037ee304f1 edge_type=refutes target=n_2915a3727c00\nt=0041 ADD_EDGE edge_id=e_9c17fb042a97 source=n_441d16c9541f edge_type=supports target=n_121b989d9522\nt=0042 ADD_EDGE edge_id=e_fc625082b440 source=n_3acac25b59a2 edge_type=refutes target=n_4ac256aee830\nt=0043 QUERY source=n_4847fb3f462c target=n_52639219fe8e\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2109,"provenance":{"base_record_id":"train-d06-035","dataset":"livegraph-deterministic-parity-v3","depth":6,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d06-035","split":"train","variant":"clean"},"record_seed":623783481086265844,"render_sha256":"11b7a55b82ef61d9e85d35bb3d9b530e07de5f858d340bfa7a77c81055696678","representation":"linear_trace","semantic_sha256":"b88642799979834f9249b9cd65923ff92e3eccca2ac563f66c9bd9221f8e9c95"}
{"char_count":3848,"item_id":"train-d06-036::linear_trace","label":"TRUE","lexical_token_proxy_count":660,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_820848d631f3 node_type=claim\nt=0001 CREATE_NODE id=n_7d78b183b1c8 node_type=claim\nt=0002 CREATE_NODE id=n_b393017ed357 node_type=claim\nt=0003 CREATE_NODE id=n_cd46459d402c node_type=claim\nt=0004 CREATE_NODE id=n_18fbe0842c10 node_type=claim\nt=0005 CREATE_NODE id=n_a7c76ba4f33e node_type=claim\nt=0006 CREATE_NODE id=n_a94e00019e00 node_type=claim\nt=0007 CREATE_NODE id=n_73abe0812904 node_type=claim\nt=0008 CREATE_NODE id=n_f24c3546b7d2 node_type=claim\nt=0009 CREATE_NODE id=n_5bba9d48f1d4 node_type=claim\nt=0010 CREATE_NODE id=n_40ea48250064 node_type=claim\nt=0011 CREATE_NODE id=n_487312ae528d node_type=claim\nt=0012 CREATE_NODE id=n_770988a1f239 node_type=claim\nt=0013 CREATE_NODE id=n_6c619ae51410 node_type=claim\nt=0014 CREATE_NODE id=n_c98e18d756e8 node_type=claim\nt=0015 CREATE_NODE id=n_101258259794 node_type=claim\nt=0016 CREATE_NODE id=n_05e67ff6a053 node_type=claim\nt=0017 CREATE_NODE id=n_a02de499002b node_type=claim\nt=0018 CREATE_NODE id=n_987eaa8d45c3 node_type=claim\nt=0019 CREATE_NODE id=n_3f93344b5db8 node_type=claim\nt=0020 CREATE_NODE id=n_c5a4b3de8d7c node_type=claim\nt=0021 CREATE_NODE id=n_3f31d83ae440 node_type=claim\nt=0022 ASSERT_ROOT node=n_40ea48250064 value=TRUE\nt=0023 ADD_EDGE edge_id=e_1b04f3955e47 source=n_7d78b183b1c8 edge_type=refutes target=n_a94e00019e00\nt=0024 ADD_EDGE edge_id=e_50291a9b6e68 source=n_7d78b183b1c8 edge_type=refutes target=n_c5a4b3de8d7c\nt=0025 ADD_EDGE edge_id=e_3c9d0f6a66a3 source=n_73abe0812904 edge_type=supports target=n_820848d631f3\nt=0026 ADD_EDGE edge_id=e_868e9fe95754 source=n_3f93344b5db8 edge_type=refutes target=n_05e67ff6a053\nt=0027 ADD_EDGE edge_id=e_8c7522368d68 source=n_a7c76ba4f33e edge_type=refutes target=n_3f93344b5db8\nt=0028 ADD_EDGE edge_id=e_c90fbb47ac0d source=n_cd46459d402c edge_type=refutes target=n_a7c76ba4f33e\nt=0029 ADD_EDGE edge_id=e_06f0577e8b83 source=n_b393017ed357 edge_type=supports target=n_a02de499002b\nt=0030 ADD_EDGE edge_id=e_db4def7b5b5b source=n_101258259794 edge_type=refutes target=n_487312ae528d\nt=0031 ADD_EDGE edge_id=e_58e7b449726d source=n_c5a4b3de8d7c edge_type=supports target=n_3f31d83ae440\nt=0032 ADD_EDGE edge_id=e_aa67a05bae24 source=n_3f93344b5db8 edge_type=supports target=n_c98e18d756e8\nt=0033 ADD_EDGE edge_id=e_e205c85eb8a5 source=n_7d78b183b1c8 edge_type=refutes target=n_b393017ed357\nt=0034 ADD_EDGE edge_id=e_5dfd6fc6a437 source=n_3f31d83ae440 edge_type=supports target=n_f24c3546b7d2\nt=0035 ADD_EDGE edge_id=e_a9e7686b790e source=n_3f93344b5db8 edge_type=supports target=n_101258259794\nt=0036 ADD_EDGE edge_id=e_52ae35726b5d source=n_c5a4b3de8d7c edge_type=supports target=n_18fbe0842c10\nt=0037 ADD_EDGE edge_id=e_703df357fe55 source=n_6c619ae51410 edge_type=refutes target=n_770988a1f239\nt=0038 ADD_EDGE edge_id=e_1edadc463c97 source=n_6c619ae51410 edge_type=refutes target=n_cd46459d402c\nt=0039 ADD_EDGE edge_id=e_adc325d3f5d2 source=n_3f31d83ae440 edge_type=refutes target=n_73abe0812904\nt=0040 ADD_EDGE edge_id=e_33fdf2e4788c source=n_3f31d83ae440 edge_type=supports target=n_987eaa8d45c3\nt=0041 ADD_EDGE edge_id=e_84d58b4ed54c source=n_6c619ae51410 edge_type=supports target=n_5bba9d48f1d4\nt=0042 ADD_EDGE edge_id=e_99bad84aca69 source=n_40ea48250064 edge_type=supports target=n_6c619ae51410\nt=0043 QUERY source=n_40ea48250064 target=n_487312ae528d\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2113,"provenance":{"base_record_id":"train-d06-036","dataset":"livegraph-deterministic-parity-v3","depth":6,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d06-036","split":"train","variant":"clean"},"record_seed":157510118858426272,"render_sha256":"7bb7d9af6c47c263e0e626817d43a0871db59b190abb1ddb37611c2a27f107a3","representation":"linear_trace","semantic_sha256":"dd5fce39470154fbb5b7e8efe32029e7a9330641085aebcf240a2c9a06d00de9"}
{"char_count":3848,"item_id":"train-d06-037::linear_trace","label":"FALSE","lexical_token_proxy_count":660,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_5be69b2cb028 node_type=claim\nt=0001 CREATE_NODE id=n_221c47f759ed node_type=claim\nt=0002 CREATE_NODE id=n_d73d20671066 node_type=claim\nt=0003 CREATE_NODE id=n_81ef7839cedb node_type=claim\nt=0004 CREATE_NODE id=n_aad27419f0d1 node_type=claim\nt=0005 CREATE_NODE id=n_847637fdbd40 node_type=claim\nt=0006 CREATE_NODE id=n_67f4412ad082 node_type=claim\nt=0007 CREATE_NODE id=n_56ca70d10c73 node_type=claim\nt=0008 CREATE_NODE id=n_cb87adcf5e24 node_type=claim\nt=0009 CREATE_NODE id=n_ecc8785c55c3 node_type=claim\nt=0010 CREATE_NODE id=n_30bf894c8656 node_type=claim\nt=0011 CREATE_NODE id=n_38d9c7eaaf82 node_type=claim\nt=0012 CREATE_NODE id=n_d72369bb121d node_type=claim\nt=0013 CREATE_NODE id=n_492ee46ddb87 node_type=claim\nt=0014 CREATE_NODE id=n_12e16cad0621 node_type=claim\nt=0015 CREATE_NODE id=n_16d78834b291 node_type=claim\nt=0016 CREATE_NODE id=n_e4b2d70c9e1f node_type=claim\nt=0017 CREATE_NODE id=n_bd6da5af11d5 node_type=claim\nt=0018 CREATE_NODE id=n_d254ce3603f6 node_type=claim\nt=0019 CREATE_NODE id=n_19e486ea68db node_type=claim\nt=0020 CREATE_NODE id=n_5f2e5a3be4d0 node_type=claim\nt=0021 CREATE_NODE id=n_775d0a2d8437 node_type=claim\nt=0022 ASSERT_ROOT node=n_e4b2d70c9e1f value=TRUE\nt=0023 ADD_EDGE edge_id=e_ced87d17a882 source=n_16d78834b291 edge_type=refutes target=n_5be69b2cb028\nt=0024 ADD_EDGE edge_id=e_59ada980ff53 source=n_aad27419f0d1 edge_type=supports target=n_d73d20671066\nt=0025 ADD_EDGE edge_id=e_8882d1137d33 source=n_5f2e5a3be4d0 edge_type=refutes target=n_16d78834b291\nt=0026 ADD_EDGE edge_id=e_57e72b74a4c1 source=n_38d9c7eaaf82 edge_type=supports target=n_847637fdbd40\nt=0027 ADD_EDGE edge_id=e_301f7bc6c0b8 source=n_16d78834b291 edge_type=supports target=n_ecc8785c55c3\nt=0028 ADD_EDGE edge_id=e_4783fc1a6d0b source=n_5f2e5a3be4d0 edge_type=refutes target=n_67f4412ad082\nt=0029 ADD_EDGE edge_id=e_5be6b05278d7 source=n_d73d20671066 edge_type=supports target=n_d72369bb121d\nt=0030 ADD_EDGE edge_id=e_2d16237a8de0 source=n_d254ce3603f6 edge_type=refutes target=n_cb87adcf5e24\nt=0031 ADD_EDGE edge_id=e_a7ba61c92c8f source=n_56ca70d10c73 edge_type=supports target=n_38d9c7eaaf82\nt=0032 ADD_EDGE edge_id=e_5e12bc550995 source=n_30bf894c8656 edge_type=refutes target=n_56ca70d10c73\nt=0033 ADD_EDGE edge_id=e_6dcd7a4bcc2b source=n_d254ce3603f6 edge_type=supports target=n_bd6da5af11d5\nt=0034 ADD_EDGE edge_id=e_e05fb0d2fc7d source=n_5f2e5a3be4d0 edge_type=refutes target=n_d254ce3603f6\nt=0035 ADD_EDGE edge_id=e_804f82f282f0 source=n_e4b2d70c9e1f edge_type=supports target=n_30bf894c8656\nt=0036 ADD_EDGE edge_id=e_3485027af1d2 source=n_30bf894c8656 edge_type=refutes target=n_775d0a2d8437\nt=0037 ADD_EDGE edge_id=e_24db66c8327c source=n_bd6da5af11d5 edge_type=refutes target=n_19e486ea68db\nt=0038 ADD_EDGE edge_id=e_ae5e74e122f5 source=n_cb87adcf5e24 edge_type=refutes target=n_221c47f759ed\nt=0039 ADD_EDGE edge_id=e_ef5ca70210b9 source=n_16d78834b291 edge_type=supports target=n_81ef7839cedb\nt=0040 ADD_EDGE edge_id=e_54527dcd8b20 source=n_56ca70d10c73 edge_type=supports target=n_492ee46ddb87\nt=0041 ADD_EDGE edge_id=e_dedee636e3a1 source=n_847637fdbd40 edge_type=supports target=n_aad27419f0d1\nt=0042 ADD_EDGE edge_id=e_bc777b27152b source=n_e4b2d70c9e1f edge_type=refutes target=n_12e16cad0621\nt=0043 QUERY source=n_e4b2d70c9e1f target=n_d73d20671066\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2085,"provenance":{"base_record_id":"train-d06-037","dataset":"livegraph-deterministic-parity-v3","depth":6,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d06-037","split":"train","variant":"clean"},"record_seed":599940742363899559,"render_sha256":"dd371fe804245ec18f4d58d4957d9eb5d7d5d6a2bc4a98e49e7e19cce1ce0efb","representation":"linear_trace","semantic_sha256":"a70660ad90b61bda27f00ed448e04798abe2707537e37529aa704f120b82a516"}
{"char_count":3849,"item_id":"train-d06-038::linear_trace","label":"TRUE","lexical_token_proxy_count":660,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_a4792bdd7d5e node_type=claim\nt=0001 CREATE_NODE id=n_96e5d3179560 node_type=claim\nt=0002 CREATE_NODE id=n_ae81d56a10b1 node_type=claim\nt=0003 CREATE_NODE id=n_5ac0f8d910eb node_type=claim\nt=0004 CREATE_NODE id=n_49e6620d6a3a node_type=claim\nt=0005 CREATE_NODE id=n_0c58bac9040a node_type=claim\nt=0006 CREATE_NODE id=n_3ffcfda09456 node_type=claim\nt=0007 CREATE_NODE id=n_8aec4472f9b9 node_type=claim\nt=0008 CREATE_NODE id=n_89142daee5e0 node_type=claim\nt=0009 CREATE_NODE id=n_f1f0371e523e node_type=claim\nt=0010 CREATE_NODE id=n_9a0563523719 node_type=claim\nt=0011 CREATE_NODE id=n_3b352fa9f146 node_type=claim\nt=0012 CREATE_NODE id=n_affa6c953646 node_type=claim\nt=0013 CREATE_NODE id=n_f96090b13aed node_type=claim\nt=0014 CREATE_NODE id=n_6563598f2a5c node_type=claim\nt=0015 CREATE_NODE id=n_f6e8f06c4170 node_type=claim\nt=0016 CREATE_NODE id=n_e37b6373c39e node_type=claim\nt=0017 CREATE_NODE id=n_508851546725 node_type=claim\nt=0018 CREATE_NODE id=n_aa330650e476 node_type=claim\nt=0019 CREATE_NODE id=n_6e767ffe7900 node_type=claim\nt=0020 CREATE_NODE id=n_85c2afd433ae node_type=claim\nt=0021 CREATE_NODE id=n_29c09a466cd9 node_type=claim\nt=0022 ASSERT_ROOT node=n_89142daee5e0 value=FALSE\nt=0023 ADD_EDGE edge_id=e_33f4dd8196a2 source=n_6563598f2a5c edge_type=supports target=n_f6e8f06c4170\nt=0024 ADD_EDGE edge_id=e_390d2c1bd02d source=n_f96090b13aed edge_type=supports target=n_3ffcfda09456\nt=0025 ADD_EDGE edge_id=e_f4b05d56276a source=n_6e767ffe7900 edge_type=supports target=n_8aec4472f9b9\nt=0026 ADD_EDGE edge_id=e_f86e91da5b45 source=n_49e6620d6a3a edge_type=refutes target=n_3b352fa9f146\nt=0027 ADD_EDGE edge_id=e_049d97c8c13b source=n_6e767ffe7900 edge_type=supports target=n_29c09a466cd9\nt=0028 ADD_EDGE edge_id=e_16035b0ebb28 source=n_89142daee5e0 edge_type=refutes target=n_aa330650e476\nt=0029 ADD_EDGE edge_id=e_d73363c98079 source=n_3ffcfda09456 edge_type=refutes target=n_5ac0f8d910eb\nt=0030 ADD_EDGE edge_id=e_47a019fc0969 source=n_49e6620d6a3a edge_type=supports target=n_6563598f2a5c\nt=0031 ADD_EDGE edge_id=e_a15fd82e740a source=n_ae81d56a10b1 edge_type=refutes target=n_e37b6373c39e\nt=0032 ADD_EDGE edge_id=e_770d0bd0e9d0 source=n_508851546725 edge_type=supports target=n_f1f0371e523e\nt=0033 ADD_EDGE edge_id=e_b9406603b9f8 source=n_6e767ffe7900 edge_type=refutes target=n_96e5d3179560\nt=0034 ADD_EDGE edge_id=e_442bcc358893 source=n_f96090b13aed edge_type=refutes target=n_508851546725\nt=0035 ADD_EDGE edge_id=e_e0d54840bb92 source=n_aa330650e476 edge_type=refutes target=n_49e6620d6a3a\nt=0036 ADD_EDGE edge_id=e_310766b30867 source=n_6563598f2a5c edge_type=supports target=n_6e767ffe7900\nt=0037 ADD_EDGE edge_id=e_1431f2a6c314 source=n_85c2afd433ae edge_type=supports target=n_ae81d56a10b1\nt=0038 ADD_EDGE edge_id=e_9e2b26772b92 source=n_3ffcfda09456 edge_type=supports target=n_9a0563523719\nt=0039 ADD_EDGE edge_id=e_ea640a9c413c source=n_9a0563523719 edge_type=refutes target=n_a4792bdd7d5e\nt=0040 ADD_EDGE edge_id=e_1add8c779ab4 source=n_85c2afd433ae edge_type=supports target=n_affa6c953646\nt=0041 ADD_EDGE edge_id=e_18a6840d7bcc source=n_8aec4472f9b9 edge_type=refutes target=n_0c58bac9040a\nt=0042 ADD_EDGE edge_id=e_29c14b7c3e8a source=n_85c2afd433ae edge_type=refutes target=n_f96090b13aed\nt=0043 QUERY source=n_89142daee5e0 target=n_0c58bac9040a\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2093,"provenance":{"base_record_id":"train-d06-038","dataset":"livegraph-deterministic-parity-v3","depth":6,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d06-038","split":"train","variant":"clean"},"record_seed":306812192241973237,"render_sha256":"8accc14bc797d9dbf11ea62dfb72bef06fd6fb67139d5f80c79b95ad19bb7982","representation":"linear_trace","semantic_sha256":"fa8a14c86c0702000ce38ef2f9bdeaa886ce9e10c6d09dd9d7a370909bf0be8d"}
{"char_count":3849,"item_id":"train-d06-039::linear_trace","label":"FALSE","lexical_token_proxy_count":660,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_ed3032f1e742 node_type=claim\nt=0001 CREATE_NODE id=n_11cd771b35a0 node_type=claim\nt=0002 CREATE_NODE id=n_1682e6a792de node_type=claim\nt=0003 CREATE_NODE id=n_0879441ebb75 node_type=claim\nt=0004 CREATE_NODE id=n_65d85136b1df node_type=claim\nt=0005 CREATE_NODE id=n_45873d056ea2 node_type=claim\nt=0006 CREATE_NODE id=n_134259cc57a7 node_type=claim\nt=0007 CREATE_NODE id=n_e337f95f9208 node_type=claim\nt=0008 CREATE_NODE id=n_f729de07de9f node_type=claim\nt=0009 CREATE_NODE id=n_8c68ed0d6f76 node_type=claim\nt=0010 CREATE_NODE id=n_9aef9b34b66f node_type=claim\nt=0011 CREATE_NODE id=n_4e528ab3bc80 node_type=claim\nt=0012 CREATE_NODE id=n_3d4dde9c0ea7 node_type=claim\nt=0013 CREATE_NODE id=n_babbd26d0231 node_type=claim\nt=0014 CREATE_NODE id=n_852b2a55920c node_type=claim\nt=0015 CREATE_NODE id=n_8ff78ad4daab node_type=claim\nt=0016 CREATE_NODE id=n_218c229ba5a4 node_type=claim\nt=0017 CREATE_NODE id=n_05c3081c652a node_type=claim\nt=0018 CREATE_NODE id=n_5fb2e2803592 node_type=claim\nt=0019 CREATE_NODE id=n_fed7fc8efc5d node_type=claim\nt=0020 CREATE_NODE id=n_abab70f610df node_type=claim\nt=0021 CREATE_NODE id=n_0c58d13e46bb node_type=claim\nt=0022 ASSERT_ROOT node=n_babbd26d0231 value=FALSE\nt=0023 ADD_EDGE edge_id=e_13db0d7eb529 source=n_05c3081c652a edge_type=supports target=n_1682e6a792de\nt=0024 ADD_EDGE edge_id=e_aabc42577793 source=n_ed3032f1e742 edge_type=refutes target=n_8ff78ad4daab\nt=0025 ADD_EDGE edge_id=e_386897900595 source=n_5fb2e2803592 edge_type=supports target=n_abab70f610df\nt=0026 ADD_EDGE edge_id=e_22c747f16237 source=n_abab70f610df edge_type=refutes target=n_218c229ba5a4\nt=0027 ADD_EDGE edge_id=e_3aeed1735df7 source=n_5fb2e2803592 edge_type=refutes target=n_ed3032f1e742\nt=0028 ADD_EDGE edge_id=e_d478738f948d source=n_f729de07de9f edge_type=supports target=n_9aef9b34b66f\nt=0029 ADD_EDGE edge_id=e_5ca37cd2b7a6 source=n_5fb2e2803592 edge_type=supports target=n_3d4dde9c0ea7\nt=0030 ADD_EDGE edge_id=e_bfee1c02f04b source=n_4e528ab3bc80 edge_type=refutes target=n_852b2a55920c\nt=0031 ADD_EDGE edge_id=e_7fb326046051 source=n_f729de07de9f edge_type=supports target=n_0c58d13e46bb\nt=0032 ADD_EDGE edge_id=e_96f654805f75 source=n_e337f95f9208 edge_type=refutes target=n_8c68ed0d6f76\nt=0033 ADD_EDGE edge_id=e_79a282698dc9 source=n_babbd26d0231 edge_type=supports target=n_f729de07de9f\nt=0034 ADD_EDGE edge_id=e_b8b4118c0b73 source=n_0879441ebb75 edge_type=refutes target=n_134259cc57a7\nt=0035 ADD_EDGE edge_id=e_e11ddf36135e source=n_e337f95f9208 edge_type=supports target=n_05c3081c652a\nt=0036 ADD_EDGE edge_id=e_bb23a82b7727 source=n_babbd26d0231 edge_type=supports target=n_45873d056ea2\nt=0037 ADD_EDGE edge_id=e_5ff84b9c0966 source=n_5fb2e2803592 edge_type=refutes target=n_4e528ab3bc80\nt=0038 ADD_EDGE edge_id=e_873074dd26a5 source=n_8ff78ad4daab edge_type=supports target=n_65d85136b1df\nt=0039 ADD_EDGE edge_id=e_e359f1a7c728 source=n_9aef9b34b66f edge_type=refutes target=n_0879441ebb75\nt=0040 ADD_EDGE edge_id=e_e79b9a732be9 source=n_4e528ab3bc80 edge_type=supports target=n_fed7fc8efc5d\nt=0041 ADD_EDGE edge_id=e_07f0e90cb233 source=n_3d4dde9c0ea7 edge_type=refutes target=n_11cd771b35a0\nt=0042 ADD_EDGE edge_id=e_d5d901091973 source=n_0879441ebb75 edge_type=refutes target=n_e337f95f9208\nt=0043 QUERY source=n_babbd26d0231 target=n_1682e6a792de\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2070,"provenance":{"base_record_id":"train-d06-039","dataset":"livegraph-deterministic-parity-v3","depth":6,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d06-039","split":"train","variant":"clean"},"record_seed":563589567277361314,"render_sha256":"7bc598a0bbdb187c3ff16afeb8cc50f80bb90f61d4d09c019989398b6d2a33ff","representation":"linear_trace","semantic_sha256":"2f0f4db5a3cf3005a3fc071c649a6c15726d325e849fd73a66bd07357539e14d"}
{"char_count":3848,"item_id":"train-d06-040::linear_trace","label":"TRUE","lexical_token_proxy_count":660,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_b2abae2c18fc node_type=claim\nt=0001 CREATE_NODE id=n_b46b12ced420 node_type=claim\nt=0002 CREATE_NODE id=n_eabcad61c7ee node_type=claim\nt=0003 CREATE_NODE id=n_e94938e84724 node_type=claim\nt=0004 CREATE_NODE id=n_be7fed354c5c node_type=claim\nt=0005 CREATE_NODE id=n_7cf6dd65fd2b node_type=claim\nt=0006 CREATE_NODE id=n_508c9969930e node_type=claim\nt=0007 CREATE_NODE id=n_2fe352a7b0d9 node_type=claim\nt=0008 CREATE_NODE id=n_3c5c461c740d node_type=claim\nt=0009 CREATE_NODE id=n_7eb1809b3496 node_type=claim\nt=0010 CREATE_NODE id=n_b09382843d32 node_type=claim\nt=0011 CREATE_NODE id=n_604f74b1d84f node_type=claim\nt=0012 CREATE_NODE id=n_3e726a6b7933 node_type=claim\nt=0013 CREATE_NODE id=n_82bd70c6eee9 node_type=claim\nt=0014 CREATE_NODE id=n_1a5e86fce8b7 node_type=claim\nt=0015 CREATE_NODE id=n_b2c8169fc7a2 node_type=claim\nt=0016 CREATE_NODE id=n_6e0f381dfd63 node_type=claim\nt=0017 CREATE_NODE id=n_1d16d5813970 node_type=claim\nt=0018 CREATE_NODE id=n_747ec27afe22 node_type=claim\nt=0019 CREATE_NODE id=n_dd3ed11c69c8 node_type=claim\nt=0020 CREATE_NODE id=n_c0c3f75be672 node_type=claim\nt=0021 CREATE_NODE id=n_51ad79241c0b node_type=claim\nt=0022 ASSERT_ROOT node=n_7cf6dd65fd2b value=TRUE\nt=0023 ADD_EDGE edge_id=e_7e95d5148be4 source=n_eabcad61c7ee edge_type=supports target=n_be7fed354c5c\nt=0024 ADD_EDGE edge_id=e_d534fe6dae52 source=n_508c9969930e edge_type=supports target=n_dd3ed11c69c8\nt=0025 ADD_EDGE edge_id=e_872918ae3542 source=n_51ad79241c0b edge_type=refutes target=n_2fe352a7b0d9\nt=0026 ADD_EDGE edge_id=e_141c5768b016 source=n_b09382843d32 edge_type=refutes target=n_b2c8169fc7a2\nt=0027 ADD_EDGE edge_id=e_e77a4a1b54da source=n_3c5c461c740d edge_type=supports target=n_c0c3f75be672\nt=0028 ADD_EDGE edge_id=e_3b85baad57ee source=n_3c5c461c740d edge_type=refutes target=n_604f74b1d84f\nt=0029 ADD_EDGE edge_id=e_d5209aa3f992 source=n_3c5c461c740d edge_type=supports target=n_b2abae2c18fc\nt=0030 ADD_EDGE edge_id=e_408ce0529fab source=n_3e726a6b7933 edge_type=supports target=n_6e0f381dfd63\nt=0031 ADD_EDGE edge_id=e_4aa5e351d2ca source=n_747ec27afe22 edge_type=supports target=n_508c9969930e\nt=0032 ADD_EDGE edge_id=e_b0a98d14278d source=n_b2abae2c18fc edge_type=supports target=n_7eb1809b3496\nt=0033 ADD_EDGE edge_id=e_2d5f436618ae source=n_604f74b1d84f edge_type=supports target=n_51ad79241c0b\nt=0034 ADD_EDGE edge_id=e_f0cc4656c3d6 source=n_3e726a6b7933 edge_type=refutes target=n_b09382843d32\nt=0035 ADD_EDGE edge_id=e_464b27ded924 source=n_b09382843d32 edge_type=refutes target=n_1a5e86fce8b7\nt=0036 ADD_EDGE edge_id=e_4477088753ea source=n_b2abae2c18fc edge_type=refutes target=n_eabcad61c7ee\nt=0037 ADD_EDGE edge_id=e_76b9c294ccb5 source=n_eabcad61c7ee edge_type=supports target=n_e94938e84724\nt=0038 ADD_EDGE edge_id=e_990d24b90e46 source=n_b2abae2c18fc edge_type=refutes target=n_1d16d5813970\nt=0039 ADD_EDGE edge_id=e_e4b703e9b101 source=n_747ec27afe22 edge_type=refutes target=n_82bd70c6eee9\nt=0040 ADD_EDGE edge_id=e_aefda3cf5574 source=n_508c9969930e edge_type=supports target=n_b46b12ced420\nt=0041 ADD_EDGE edge_id=e_c73a6ac7ecdd source=n_7cf6dd65fd2b edge_type=refutes target=n_747ec27afe22\nt=0042 ADD_EDGE edge_id=e_702d75cc5012 source=n_dd3ed11c69c8 edge_type=refutes target=n_3e726a6b7933\nt=0043 QUERY source=n_7cf6dd65fd2b target=n_1a5e86fce8b7\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2072,"provenance":{"base_record_id":"train-d06-040","dataset":"livegraph-deterministic-parity-v3","depth":6,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d06-040","split":"train","variant":"clean"},"record_seed":140142113139529540,"render_sha256":"66fdef5373100e7e2e5d7dfbb6aef7e24d462a131ef2a358ee147d897b6d6ea2","representation":"linear_trace","semantic_sha256":"a1f5335898d95e3415737ceb84047b10c81350f91c37adba5777cfa8fc0992da"}
{"char_count":3848,"item_id":"train-d06-041::linear_trace","label":"FALSE","lexical_token_proxy_count":660,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_21babcf44af0 node_type=claim\nt=0001 CREATE_NODE id=n_04f1d40915b3 node_type=claim\nt=0002 CREATE_NODE id=n_fc9a51308ccc node_type=claim\nt=0003 CREATE_NODE id=n_cf22e6ce15ef node_type=claim\nt=0004 CREATE_NODE id=n_93350d1f12c6 node_type=claim\nt=0005 CREATE_NODE id=n_77d1ef944d2d node_type=claim\nt=0006 CREATE_NODE id=n_9147bb6351b0 node_type=claim\nt=0007 CREATE_NODE id=n_2427b939f2f1 node_type=claim\nt=0008 CREATE_NODE id=n_63301cfcbdba node_type=claim\nt=0009 CREATE_NODE id=n_cecab5f89a59 node_type=claim\nt=0010 CREATE_NODE id=n_8f4ff99075f5 node_type=claim\nt=0011 CREATE_NODE id=n_c1d26a114ab5 node_type=claim\nt=0012 CREATE_NODE id=n_b2532284bdbc node_type=claim\nt=0013 CREATE_NODE id=n_f0301f669c45 node_type=claim\nt=0014 CREATE_NODE id=n_503bc76fd857 node_type=claim\nt=0015 CREATE_NODE id=n_64affaf0b5f2 node_type=claim\nt=0016 CREATE_NODE id=n_9fa998776203 node_type=claim\nt=0017 CREATE_NODE id=n_1b76d06336c5 node_type=claim\nt=0018 CREATE_NODE id=n_acd71537ba93 node_type=claim\nt=0019 CREATE_NODE id=n_19c5d9642dc3 node_type=claim\nt=0020 CREATE_NODE id=n_597fbab8f713 node_type=claim\nt=0021 CREATE_NODE id=n_893482f87155 node_type=claim\nt=0022 ASSERT_ROOT node=n_b2532284bdbc value=TRUE\nt=0023 ADD_EDGE edge_id=e_6fcde92f4df7 source=n_9fa998776203 edge_type=supports target=n_19c5d9642dc3\nt=0024 ADD_EDGE edge_id=e_5b3aabfa3790 source=n_b2532284bdbc edge_type=refutes target=n_2427b939f2f1\nt=0025 ADD_EDGE edge_id=e_96aabcf86b8a source=n_893482f87155 edge_type=refutes target=n_cf22e6ce15ef\nt=0026 ADD_EDGE edge_id=e_ddb2a3754515 source=n_cecab5f89a59 edge_type=supports target=n_597fbab8f713\nt=0027 ADD_EDGE edge_id=e_fdd9cc8ebc2d source=n_cecab5f89a59 edge_type=refutes target=n_21babcf44af0\nt=0028 ADD_EDGE edge_id=e_2cd3c93cd4d2 source=n_893482f87155 edge_type=supports target=n_63301cfcbdba\nt=0029 ADD_EDGE edge_id=e_b8e83aab1b47 source=n_cecab5f89a59 edge_type=refutes target=n_1b76d06336c5\nt=0030 ADD_EDGE edge_id=e_a583b88ab242 source=n_64affaf0b5f2 edge_type=supports target=n_fc9a51308ccc\nt=0031 ADD_EDGE edge_id=e_cf0d0c76d905 source=n_1b76d06336c5 edge_type=supports target=n_c1d26a114ab5\nt=0032 ADD_EDGE edge_id=e_5a6d4f8de81a source=n_cecab5f89a59 edge_type=supports target=n_9147bb6351b0\nt=0033 ADD_EDGE edge_id=e_ed431ff120a1 source=n_b2532284bdbc edge_type=refutes target=n_8f4ff99075f5\nt=0034 ADD_EDGE edge_id=e_6141d3aa6227 source=n_cf22e6ce15ef edge_type=refutes target=n_503bc76fd857\nt=0035 ADD_EDGE edge_id=e_7ca29bc5bb38 source=n_503bc76fd857 edge_type=refutes target=n_77d1ef944d2d\nt=0036 ADD_EDGE edge_id=e_4e7e2dfa40a9 source=n_8f4ff99075f5 edge_type=supports target=n_93350d1f12c6\nt=0037 ADD_EDGE edge_id=e_353bf0569eea source=n_04f1d40915b3 edge_type=refutes target=n_f0301f669c45\nt=0038 ADD_EDGE edge_id=e_0c9f082dff5e source=n_8f4ff99075f5 edge_type=supports target=n_04f1d40915b3\nt=0039 ADD_EDGE edge_id=e_ea67eb46a6d3 source=n_9fa998776203 edge_type=refutes target=n_acd71537ba93\nt=0040 ADD_EDGE edge_id=e_46785d8bb585 source=n_c1d26a114ab5 edge_type=supports target=n_64affaf0b5f2\nt=0041 ADD_EDGE edge_id=e_25e15c3ddc9f source=n_9147bb6351b0 edge_type=supports target=n_9fa998776203\nt=0042 ADD_EDGE edge_id=e_504873dd570f source=n_f0301f669c45 edge_type=refutes target=n_893482f87155\nt=0043 QUERY source=n_b2532284bdbc target=n_503bc76fd857\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2058,"provenance":{"base_record_id":"train-d06-041","dataset":"livegraph-deterministic-parity-v3","depth":6,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d06-041","split":"train","variant":"clean"},"record_seed":150307002564406250,"render_sha256":"b6def44687a076b0878f3cc774b47b35f06d6ba4a07ef91c2e1e99033aef88c4","representation":"linear_trace","semantic_sha256":"adb150b04c52259718bcd6e6df5c8f2c52ad4556585cdd790312426310c5ae8d"}
{"char_count":3849,"item_id":"train-d06-042::linear_trace","label":"TRUE","lexical_token_proxy_count":660,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_b16b7c21a2b0 node_type=claim\nt=0001 CREATE_NODE id=n_1b74c6e6d04d node_type=claim\nt=0002 CREATE_NODE id=n_5f6886c7afaa node_type=claim\nt=0003 CREATE_NODE id=n_41294dc4c2ab node_type=claim\nt=0004 CREATE_NODE id=n_737ebdbd4917 node_type=claim\nt=0005 CREATE_NODE id=n_c5286267917d node_type=claim\nt=0006 CREATE_NODE id=n_cfa5e99d8fe9 node_type=claim\nt=0007 CREATE_NODE id=n_9a2f6af798cb node_type=claim\nt=0008 CREATE_NODE id=n_40a553d1d1c7 node_type=claim\nt=0009 CREATE_NODE id=n_b8192a84c068 node_type=claim\nt=0010 CREATE_NODE id=n_cfaa0c87c5f5 node_type=claim\nt=0011 CREATE_NODE id=n_0e17ff79c438 node_type=claim\nt=0012 CREATE_NODE id=n_844488441540 node_type=claim\nt=0013 CREATE_NODE id=n_7015f9a0d66b node_type=claim\nt=0014 CREATE_NODE id=n_8949586d6d6d node_type=claim\nt=0015 CREATE_NODE id=n_8e93da08f5c3 node_type=claim\nt=0016 CREATE_NODE id=n_f5a11117c10d node_type=claim\nt=0017 CREATE_NODE id=n_79920fbf998b node_type=claim\nt=0018 CREATE_NODE id=n_a6dbcaec8686 node_type=claim\nt=0019 CREATE_NODE id=n_553d7e72f6fc node_type=claim\nt=0020 CREATE_NODE id=n_3552b6a56487 node_type=claim\nt=0021 CREATE_NODE id=n_ff31031a546d node_type=claim\nt=0022 ASSERT_ROOT node=n_8e93da08f5c3 value=FALSE\nt=0023 ADD_EDGE edge_id=e_e9d4b9387a67 source=n_7015f9a0d66b edge_type=refutes target=n_553d7e72f6fc\nt=0024 ADD_EDGE edge_id=e_68a6405d0793 source=n_cfa5e99d8fe9 edge_type=supports target=n_3552b6a56487\nt=0025 ADD_EDGE edge_id=e_10a289155180 source=n_8949586d6d6d edge_type=refutes target=n_9a2f6af798cb\nt=0026 ADD_EDGE edge_id=e_c5b2ffea4b8c source=n_ff31031a546d edge_type=supports target=n_f5a11117c10d\nt=0027 ADD_EDGE edge_id=e_833272fd171b source=n_8e93da08f5c3 edge_type=refutes target=n_a6dbcaec8686\nt=0028 ADD_EDGE edge_id=e_4ebdfbff939c source=n_b16b7c21a2b0 edge_type=supports target=n_0e17ff79c438\nt=0029 ADD_EDGE edge_id=e_d13f80db1cc3 source=n_f5a11117c10d edge_type=refutes target=n_b16b7c21a2b0\nt=0030 ADD_EDGE edge_id=e_4c2d1a9555bb source=n_7015f9a0d66b edge_type=refutes target=n_cfaa0c87c5f5\nt=0031 ADD_EDGE edge_id=e_f9d38db76be3 source=n_1b74c6e6d04d edge_type=supports target=n_40a553d1d1c7\nt=0032 ADD_EDGE edge_id=e_c066f848e505 source=n_8949586d6d6d edge_type=supports target=n_41294dc4c2ab\nt=0033 ADD_EDGE edge_id=e_231f1ee9436f source=n_553d7e72f6fc edge_type=refutes target=n_737ebdbd4917\nt=0034 ADD_EDGE edge_id=e_c344a71d7541 source=n_79920fbf998b edge_type=supports target=n_844488441540\nt=0035 ADD_EDGE edge_id=e_9af4ba01ffd3 source=n_3552b6a56487 edge_type=supports target=n_1b74c6e6d04d\nt=0036 ADD_EDGE edge_id=e_71a78e57cef7 source=n_b16b7c21a2b0 edge_type=supports target=n_79920fbf998b\nt=0037 ADD_EDGE edge_id=e_bfab59e81ecb source=n_7015f9a0d66b edge_type=refutes target=n_cfa5e99d8fe9\nt=0038 ADD_EDGE edge_id=e_5d5eacf7de0e source=n_737ebdbd4917 edge_type=refutes target=n_8949586d6d6d\nt=0039 ADD_EDGE edge_id=e_992f30040da5 source=n_a6dbcaec8686 edge_type=refutes target=n_c5286267917d\nt=0040 ADD_EDGE edge_id=e_1667c2095ca4 source=n_a6dbcaec8686 edge_type=supports target=n_ff31031a546d\nt=0041 ADD_EDGE edge_id=e_9ceddbb76d56 source=n_79920fbf998b edge_type=refutes target=n_b8192a84c068\nt=0042 ADD_EDGE edge_id=e_aa27c4679914 source=n_8e93da08f5c3 edge_type=supports target=n_5f6886c7afaa\nt=0043 QUERY source=n_8e93da08f5c3 target=n_b8192a84c068\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2104,"provenance":{"base_record_id":"train-d06-042","dataset":"livegraph-deterministic-parity-v3","depth":6,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d06-042","split":"train","variant":"clean"},"record_seed":962918969728817960,"render_sha256":"14dcf73c93ffe7579804eabb95b75560b6dfb46f88a7b583656a1566c233be2b","representation":"linear_trace","semantic_sha256":"9c600842d54da43e0573c52c16b43000a392db475ea24bf7503a681a0777112d"}
{"char_count":3849,"item_id":"train-d06-043::linear_trace","label":"FALSE","lexical_token_proxy_count":660,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_bd13fc15d44f node_type=claim\nt=0001 CREATE_NODE id=n_b4611f1477ce node_type=claim\nt=0002 CREATE_NODE id=n_c8ad64990586 node_type=claim\nt=0003 CREATE_NODE id=n_b0dabfc40b24 node_type=claim\nt=0004 CREATE_NODE id=n_6ec1ab1769f2 node_type=claim\nt=0005 CREATE_NODE id=n_1e8fb4c2be08 node_type=claim\nt=0006 CREATE_NODE id=n_acd1c62decea node_type=claim\nt=0007 CREATE_NODE id=n_637e14ddbadc node_type=claim\nt=0008 CREATE_NODE id=n_936ed137d35f node_type=claim\nt=0009 CREATE_NODE id=n_b7de34584794 node_type=claim\nt=0010 CREATE_NODE id=n_afdde4388a41 node_type=claim\nt=0011 CREATE_NODE id=n_b7478c0e2a7b node_type=claim\nt=0012 CREATE_NODE id=n_81775662ea32 node_type=claim\nt=0013 CREATE_NODE id=n_df00f403cacc node_type=claim\nt=0014 CREATE_NODE id=n_94ca75135c45 node_type=claim\nt=0015 CREATE_NODE id=n_2b276190da35 node_type=claim\nt=0016 CREATE_NODE id=n_696aad81ccaf node_type=claim\nt=0017 CREATE_NODE id=n_9f4814d32c46 node_type=claim\nt=0018 CREATE_NODE id=n_6e48c35004bb node_type=claim\nt=0019 CREATE_NODE id=n_40ae311429e0 node_type=claim\nt=0020 CREATE_NODE id=n_3d72467d3ace node_type=claim\nt=0021 CREATE_NODE id=n_fa20d85a3309 node_type=claim\nt=0022 ASSERT_ROOT node=n_1e8fb4c2be08 value=FALSE\nt=0023 ADD_EDGE edge_id=e_16669f0203a2 source=n_637e14ddbadc edge_type=supports target=n_fa20d85a3309\nt=0024 ADD_EDGE edge_id=e_8256ea7f72aa source=n_3d72467d3ace edge_type=refutes target=n_df00f403cacc\nt=0025 ADD_EDGE edge_id=e_fc1c699e51f7 source=n_6ec1ab1769f2 edge_type=supports target=n_2b276190da35\nt=0026 ADD_EDGE edge_id=e_1c40069c0d8a source=n_1e8fb4c2be08 edge_type=supports target=n_637e14ddbadc\nt=0027 ADD_EDGE edge_id=e_da5e68bf3d9f source=n_94ca75135c45 edge_type=supports target=n_bd13fc15d44f\nt=0028 ADD_EDGE edge_id=e_a301080bdaf5 source=n_acd1c62decea edge_type=refutes target=n_b0dabfc40b24\nt=0029 ADD_EDGE edge_id=e_1a89f4d538b4 source=n_9f4814d32c46 edge_type=supports target=n_696aad81ccaf\nt=0030 ADD_EDGE edge_id=e_b4fe7424b6f8 source=n_df00f403cacc edge_type=refutes target=n_b7de34584794\nt=0031 ADD_EDGE edge_id=e_4ffa7420c0ba source=n_3d72467d3ace edge_type=supports target=n_b4611f1477ce\nt=0032 ADD_EDGE edge_id=e_a6649b8a5c2b source=n_3d72467d3ace edge_type=supports target=n_936ed137d35f\nt=0033 ADD_EDGE edge_id=e_fb342b602a23 source=n_6ec1ab1769f2 edge_type=refutes target=n_6e48c35004bb\nt=0034 ADD_EDGE edge_id=e_4e8c0f04998b source=n_936ed137d35f edge_type=refutes target=n_c8ad64990586\nt=0035 ADD_EDGE edge_id=e_696f41d1f329 source=n_afdde4388a41 edge_type=supports target=n_9f4814d32c46\nt=0036 ADD_EDGE edge_id=e_86a31dba9d85 source=n_637e14ddbadc edge_type=refutes target=n_acd1c62decea\nt=0037 ADD_EDGE edge_id=e_2b48377c1a32 source=n_acd1c62decea edge_type=refutes target=n_94ca75135c45\nt=0038 ADD_EDGE edge_id=e_33bc7946f3b2 source=n_94ca75135c45 edge_type=refutes target=n_81775662ea32\nt=0039 ADD_EDGE edge_id=e_7a7f09b9d9f7 source=n_b7478c0e2a7b edge_type=supports target=n_40ae311429e0\nt=0040 ADD_EDGE edge_id=e_1d0f72768b6a source=n_94ca75135c45 edge_type=supports target=n_afdde4388a41\nt=0041 ADD_EDGE edge_id=e_5d536eda837a source=n_6ec1ab1769f2 edge_type=refutes target=n_3d72467d3ace\nt=0042 ADD_EDGE edge_id=e_658e31d6c82e source=n_df00f403cacc edge_type=refutes target=n_b7478c0e2a7b\nt=0043 QUERY source=n_1e8fb4c2be08 target=n_696aad81ccaf\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2050,"provenance":{"base_record_id":"train-d06-043","dataset":"livegraph-deterministic-parity-v3","depth":6,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d06-043","split":"train","variant":"clean"},"record_seed":914845808422218277,"render_sha256":"18a94505ee9ed4f38fc3364530fa32757eb2512313d5d03360ba7b3111c787ec","representation":"linear_trace","semantic_sha256":"282217bf929e35866c7a517e6912ec1642e2b1a05631e7f6d581d5b295a61e1a"}
{"char_count":3848,"item_id":"train-d06-044::linear_trace","label":"TRUE","lexical_token_proxy_count":660,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_044a3754f66d node_type=claim\nt=0001 CREATE_NODE id=n_053d51ed6353 node_type=claim\nt=0002 CREATE_NODE id=n_88d67c75eaa6 node_type=claim\nt=0003 CREATE_NODE id=n_280c54d8a97c node_type=claim\nt=0004 CREATE_NODE id=n_d165c0cc52cb node_type=claim\nt=0005 CREATE_NODE id=n_a0bafe7d077a node_type=claim\nt=0006 CREATE_NODE id=n_199cf39d2444 node_type=claim\nt=0007 CREATE_NODE id=n_704dcac93391 node_type=claim\nt=0008 CREATE_NODE id=n_8122f50a9aba node_type=claim\nt=0009 CREATE_NODE id=n_93a348b87527 node_type=claim\nt=0010 CREATE_NODE id=n_b30f3ad6d516 node_type=claim\nt=0011 CREATE_NODE id=n_f3345631c95c node_type=claim\nt=0012 CREATE_NODE id=n_983afdb2b565 node_type=claim\nt=0013 CREATE_NODE id=n_11a73ff48053 node_type=claim\nt=0014 CREATE_NODE id=n_f2678c12143d node_type=claim\nt=0015 CREATE_NODE id=n_eb57e4321033 node_type=claim\nt=0016 CREATE_NODE id=n_550a5ce2b8c3 node_type=claim\nt=0017 CREATE_NODE id=n_4a5291326f01 node_type=claim\nt=0018 CREATE_NODE id=n_3f957c69e3d3 node_type=claim\nt=0019 CREATE_NODE id=n_a69caa10743b node_type=claim\nt=0020 CREATE_NODE id=n_6820d05fff59 node_type=claim\nt=0021 CREATE_NODE id=n_09639614e25c node_type=claim\nt=0022 ASSERT_ROOT node=n_053d51ed6353 value=TRUE\nt=0023 ADD_EDGE edge_id=e_cb4373409731 source=n_550a5ce2b8c3 edge_type=refutes target=n_3f957c69e3d3\nt=0024 ADD_EDGE edge_id=e_e4be719e3d95 source=n_983afdb2b565 edge_type=supports target=n_a69caa10743b\nt=0025 ADD_EDGE edge_id=e_9e03fe253dc2 source=n_704dcac93391 edge_type=supports target=n_8122f50a9aba\nt=0026 ADD_EDGE edge_id=e_83fb4fed39cc source=n_704dcac93391 edge_type=supports target=n_6820d05fff59\nt=0027 ADD_EDGE edge_id=e_2c3453312ab8 source=n_3f957c69e3d3 edge_type=refutes target=n_eb57e4321033\nt=0028 ADD_EDGE edge_id=e_6d1832f83d70 source=n_f3345631c95c edge_type=supports target=n_93a348b87527\nt=0029 ADD_EDGE edge_id=e_9a02710b14e9 source=n_93a348b87527 edge_type=supports target=n_704dcac93391\nt=0030 ADD_EDGE edge_id=e_3d377fa70bf8 source=n_550a5ce2b8c3 edge_type=refutes target=n_280c54d8a97c\nt=0031 ADD_EDGE edge_id=e_702ce945e1bd source=n_053d51ed6353 edge_type=refutes target=n_044a3754f66d\nt=0032 ADD_EDGE edge_id=e_572bcd6bf6aa source=n_044a3754f66d edge_type=supports target=n_983afdb2b565\nt=0033 ADD_EDGE edge_id=e_d528b4a7d6ab source=n_4a5291326f01 edge_type=supports target=n_f2678c12143d\nt=0034 ADD_EDGE edge_id=e_652fcfa15ff8 source=n_053d51ed6353 edge_type=refutes target=n_11a73ff48053\nt=0035 ADD_EDGE edge_id=e_f907407a7c5a source=n_f3345631c95c edge_type=supports target=n_88d67c75eaa6\nt=0036 ADD_EDGE edge_id=e_82b5976ace1b source=n_b30f3ad6d516 edge_type=refutes target=n_f3345631c95c\nt=0037 ADD_EDGE edge_id=e_4967914641e8 source=n_983afdb2b565 edge_type=supports target=n_199cf39d2444\nt=0038 ADD_EDGE edge_id=e_58dc49c3be46 source=n_4a5291326f01 edge_type=refutes target=n_a0bafe7d077a\nt=0039 ADD_EDGE edge_id=e_deb7c9bb5669 source=n_550a5ce2b8c3 edge_type=supports target=n_09639614e25c\nt=0040 ADD_EDGE edge_id=e_4d85de7ea642 source=n_199cf39d2444 edge_type=refutes target=n_550a5ce2b8c3\nt=0041 ADD_EDGE edge_id=e_96fccf168a2f source=n_b30f3ad6d516 edge_type=refutes target=n_d165c0cc52cb\nt=0042 ADD_EDGE edge_id=e_2f0215e14fa0 source=n_704dcac93391 edge_type=refutes target=n_4a5291326f01\nt=0043 QUERY source=n_053d51ed6353 target=n_eb57e4321033\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2097,"provenance":{"base_record_id":"train-d06-044","dataset":"livegraph-deterministic-parity-v3","depth":6,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d06-044","split":"train","variant":"clean"},"record_seed":1046484926425460445,"render_sha256":"0769fbde21370fee5cf9a575400220716d7a083632876dc2e3cdc9d482b298b7","representation":"linear_trace","semantic_sha256":"f082e4ece0e11454b0640df193f6f002fa6282a18339f2f227b5ac422d13a4a8"}
{"char_count":3848,"item_id":"train-d06-045::linear_trace","label":"FALSE","lexical_token_proxy_count":660,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_a7ee75c92563 node_type=claim\nt=0001 CREATE_NODE id=n_f2a835f0bf08 node_type=claim\nt=0002 CREATE_NODE id=n_0972051f04c7 node_type=claim\nt=0003 CREATE_NODE id=n_f75814a11ef9 node_type=claim\nt=0004 CREATE_NODE id=n_4d15bdcdae81 node_type=claim\nt=0005 CREATE_NODE id=n_bf55b03e1558 node_type=claim\nt=0006 CREATE_NODE id=n_ef65dc0fcc72 node_type=claim\nt=0007 CREATE_NODE id=n_13e748fca5ee node_type=claim\nt=0008 CREATE_NODE id=n_fa1670e5c748 node_type=claim\nt=0009 CREATE_NODE id=n_d3fad67ea467 node_type=claim\nt=0010 CREATE_NODE id=n_4260c525e394 node_type=claim\nt=0011 CREATE_NODE id=n_c63ce78980de node_type=claim\nt=0012 CREATE_NODE id=n_5c9cfb6c81cb node_type=claim\nt=0013 CREATE_NODE id=n_ae9e76324243 node_type=claim\nt=0014 CREATE_NODE id=n_c7942d7fea08 node_type=claim\nt=0015 CREATE_NODE id=n_4a0b6c64cf7a node_type=claim\nt=0016 CREATE_NODE id=n_66ea1888239d node_type=claim\nt=0017 CREATE_NODE id=n_75a1a5214fa9 node_type=claim\nt=0018 CREATE_NODE id=n_c6efc5e68b9d node_type=claim\nt=0019 CREATE_NODE id=n_caf79e454f0d node_type=claim\nt=0020 CREATE_NODE id=n_bf7d5d7186d8 node_type=claim\nt=0021 CREATE_NODE id=n_9dabba4e48ed node_type=claim\nt=0022 ASSERT_ROOT node=n_bf7d5d7186d8 value=TRUE\nt=0023 ADD_EDGE edge_id=e_6c6d265a8859 source=n_5c9cfb6c81cb edge_type=supports target=n_ef65dc0fcc72\nt=0024 ADD_EDGE edge_id=e_348a95550c72 source=n_ef65dc0fcc72 edge_type=supports target=n_ae9e76324243\nt=0025 ADD_EDGE edge_id=e_d6019046a3a9 source=n_4a0b6c64cf7a edge_type=refutes target=n_f2a835f0bf08\nt=0026 ADD_EDGE edge_id=e_24412527e6f5 source=n_0972051f04c7 edge_type=refutes target=n_fa1670e5c748\nt=0027 ADD_EDGE edge_id=e_036a7b0fb541 source=n_9dabba4e48ed edge_type=supports target=n_caf79e454f0d\nt=0028 ADD_EDGE edge_id=e_1844479085bc source=n_f2a835f0bf08 edge_type=refutes target=n_9dabba4e48ed\nt=0029 ADD_EDGE edge_id=e_a75aabf09846 source=n_f75814a11ef9 edge_type=refutes target=n_c7942d7fea08\nt=0030 ADD_EDGE edge_id=e_518bd7a7ec5a source=n_0972051f04c7 edge_type=supports target=n_c63ce78980de\nt=0031 ADD_EDGE edge_id=e_1a03f6a8b1da source=n_a7ee75c92563 edge_type=refutes target=n_75a1a5214fa9\nt=0032 ADD_EDGE edge_id=e_35acdb6c3dbd source=n_bf55b03e1558 edge_type=supports target=n_4a0b6c64cf7a\nt=0033 ADD_EDGE edge_id=e_370521724e07 source=n_bf7d5d7186d8 edge_type=supports target=n_bf55b03e1558\nt=0034 ADD_EDGE edge_id=e_68d315b80670 source=n_f75814a11ef9 edge_type=refutes target=n_d3fad67ea467\nt=0035 ADD_EDGE edge_id=e_7cf6451b0519 source=n_d3fad67ea467 edge_type=refutes target=n_c6efc5e68b9d\nt=0036 ADD_EDGE edge_id=e_b6795b5e1f08 source=n_4d15bdcdae81 edge_type=refutes target=n_a7ee75c92563\nt=0037 ADD_EDGE edge_id=e_f9c05dbce679 source=n_9dabba4e48ed edge_type=refutes target=n_5c9cfb6c81cb\nt=0038 ADD_EDGE edge_id=e_3c4aa0bd3e6a source=n_5c9cfb6c81cb edge_type=supports target=n_4260c525e394\nt=0039 ADD_EDGE edge_id=e_661011d052a1 source=n_4a0b6c64cf7a edge_type=supports target=n_66ea1888239d\nt=0040 ADD_EDGE edge_id=e_0431e4ec11d9 source=n_c6efc5e68b9d edge_type=refutes target=n_13e748fca5ee\nt=0041 ADD_EDGE edge_id=e_0ae5e9cc659e source=n_f75814a11ef9 edge_type=supports target=n_4d15bdcdae81\nt=0042 ADD_EDGE edge_id=e_121cbe063614 source=n_f75814a11ef9 edge_type=supports target=n_0972051f04c7\nt=0043 QUERY source=n_bf7d5d7186d8 target=n_ef65dc0fcc72\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2074,"provenance":{"base_record_id":"train-d06-045","dataset":"livegraph-deterministic-parity-v3","depth":6,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d06-045","split":"train","variant":"clean"},"record_seed":685700485083097309,"render_sha256":"abf258c931ea3e9490e0d051607cd830b95f36469990e7d2528fbde4cb28ee85","representation":"linear_trace","semantic_sha256":"7c0f4fb02edb5668ecfb1f8839733269e3fa0b936094a36e92c46968a31c9fd0"}
{"char_count":3849,"item_id":"train-d06-046::linear_trace","label":"TRUE","lexical_token_proxy_count":660,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_b3f231f70358 node_type=claim\nt=0001 CREATE_NODE id=n_1bb9ed8e8a28 node_type=claim\nt=0002 CREATE_NODE id=n_eef725dcc9a9 node_type=claim\nt=0003 CREATE_NODE id=n_4a7df034e19a node_type=claim\nt=0004 CREATE_NODE id=n_7e056d0d8bfc node_type=claim\nt=0005 CREATE_NODE id=n_1a5e975ecc68 node_type=claim\nt=0006 CREATE_NODE id=n_e2598438f0be node_type=claim\nt=0007 CREATE_NODE id=n_b470f63a3cb6 node_type=claim\nt=0008 CREATE_NODE id=n_34bf0478f46f node_type=claim\nt=0009 CREATE_NODE id=n_8ade5ab2f0b6 node_type=claim\nt=0010 CREATE_NODE id=n_679390977222 node_type=claim\nt=0011 CREATE_NODE id=n_77ba4d9eb70d node_type=claim\nt=0012 CREATE_NODE id=n_92087c8c0b45 node_type=claim\nt=0013 CREATE_NODE id=n_d757dfc249fd node_type=claim\nt=0014 CREATE_NODE id=n_16da81f2d1ae node_type=claim\nt=0015 CREATE_NODE id=n_828d0093eb02 node_type=claim\nt=0016 CREATE_NODE id=n_63dc245a65b9 node_type=claim\nt=0017 CREATE_NODE id=n_abc7fb7f608d node_type=claim\nt=0018 CREATE_NODE id=n_75f91fc05776 node_type=claim\nt=0019 CREATE_NODE id=n_663ae2480473 node_type=claim\nt=0020 CREATE_NODE id=n_35cbeaead4c2 node_type=claim\nt=0021 CREATE_NODE id=n_d2819556c84f node_type=claim\nt=0022 ASSERT_ROOT node=n_75f91fc05776 value=FALSE\nt=0023 ADD_EDGE edge_id=e_4ba7fcaf98f6 source=n_77ba4d9eb70d edge_type=refutes target=n_b3f231f70358\nt=0024 ADD_EDGE edge_id=e_95f45b438c71 source=n_16da81f2d1ae edge_type=supports target=n_35cbeaead4c2\nt=0025 ADD_EDGE edge_id=e_7476579abf41 source=n_663ae2480473 edge_type=supports target=n_63dc245a65b9\nt=0026 ADD_EDGE edge_id=e_8e640e6dc67d source=n_92087c8c0b45 edge_type=supports target=n_828d0093eb02\nt=0027 ADD_EDGE edge_id=e_e8b20f85de8d source=n_63dc245a65b9 edge_type=refutes target=n_34bf0478f46f\nt=0028 ADD_EDGE edge_id=e_27eb3b60f43c source=n_16da81f2d1ae edge_type=supports target=n_1a5e975ecc68\nt=0029 ADD_EDGE edge_id=e_1231dde53802 source=n_828d0093eb02 edge_type=supports target=n_abc7fb7f608d\nt=0030 ADD_EDGE edge_id=e_cb8a801169a3 source=n_63dc245a65b9 edge_type=refutes target=n_eef725dcc9a9\nt=0031 ADD_EDGE edge_id=e_953501ad5188 source=n_35cbeaead4c2 edge_type=supports target=n_d757dfc249fd\nt=0032 ADD_EDGE edge_id=e_10627f553be7 source=n_8ade5ab2f0b6 edge_type=refutes target=n_e2598438f0be\nt=0033 ADD_EDGE edge_id=e_8ee5b4ddb3d4 source=n_8ade5ab2f0b6 edge_type=refutes target=n_92087c8c0b45\nt=0034 ADD_EDGE edge_id=e_d22c8f72b2b0 source=n_75f91fc05776 edge_type=refutes target=n_8ade5ab2f0b6\nt=0035 ADD_EDGE edge_id=e_ebd976e4ee09 source=n_16da81f2d1ae edge_type=refutes target=n_b470f63a3cb6\nt=0036 ADD_EDGE edge_id=e_1cf9fe7fef23 source=n_75f91fc05776 edge_type=refutes target=n_7e056d0d8bfc\nt=0037 ADD_EDGE edge_id=e_1d68d2e007b7 source=n_abc7fb7f608d edge_type=supports target=n_1bb9ed8e8a28\nt=0038 ADD_EDGE edge_id=e_3c69dcb696a6 source=n_679390977222 edge_type=supports target=n_4a7df034e19a\nt=0039 ADD_EDGE edge_id=e_a531e35862e1 source=n_4a7df034e19a edge_type=refutes target=n_16da81f2d1ae\nt=0040 ADD_EDGE edge_id=e_fa98bf108a8d source=n_4a7df034e19a edge_type=supports target=n_663ae2480473\nt=0041 ADD_EDGE edge_id=e_23f75cdf4ba4 source=n_abc7fb7f608d edge_type=supports target=n_77ba4d9eb70d\nt=0042 ADD_EDGE edge_id=e_5ca01ccde795 source=n_abc7fb7f608d edge_type=refutes target=n_d2819556c84f\nt=0043 QUERY source=n_75f91fc05776 target=n_b3f231f70358\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2063,"provenance":{"base_record_id":"train-d06-046","dataset":"livegraph-deterministic-parity-v3","depth":6,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d06-046","split":"train","variant":"clean"},"record_seed":893842767746802945,"render_sha256":"3301ae7f90923c63b4a544821371981188854bba0445b22efc084fd31d273860","representation":"linear_trace","semantic_sha256":"44261cf96cb7a48ef067dfbbb4b406a9c93781835082453b351c4d9a5f306519"}
{"char_count":3849,"item_id":"train-d06-047::linear_trace","label":"FALSE","lexical_token_proxy_count":660,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_62cf723e2565 node_type=claim\nt=0001 CREATE_NODE id=n_3dfee1e2e981 node_type=claim\nt=0002 CREATE_NODE id=n_56f8943bd02c node_type=claim\nt=0003 CREATE_NODE id=n_dc4ab17c4de2 node_type=claim\nt=0004 CREATE_NODE id=n_2e8a633a1071 node_type=claim\nt=0005 CREATE_NODE id=n_64028a6d32e8 node_type=claim\nt=0006 CREATE_NODE id=n_b740186af877 node_type=claim\nt=0007 CREATE_NODE id=n_bbea1ab4f0bc node_type=claim\nt=0008 CREATE_NODE id=n_8f957fe1cd12 node_type=claim\nt=0009 CREATE_NODE id=n_6d467ce57ff9 node_type=claim\nt=0010 CREATE_NODE id=n_25bd0815c32d node_type=claim\nt=0011 CREATE_NODE id=n_5b0c57de2202 node_type=claim\nt=0012 CREATE_NODE id=n_b1d7771f0453 node_type=claim\nt=0013 CREATE_NODE id=n_f01b86b0b6e0 node_type=claim\nt=0014 CREATE_NODE id=n_9f0c6000cec6 node_type=claim\nt=0015 CREATE_NODE id=n_656854b11eaf node_type=claim\nt=0016 CREATE_NODE id=n_8cb5f0ab5f07 node_type=claim\nt=0017 CREATE_NODE id=n_400bfbe3929b node_type=claim\nt=0018 CREATE_NODE id=n_1ccbf7a01f01 node_type=claim\nt=0019 CREATE_NODE id=n_9c98d9e682ff node_type=claim\nt=0020 CREATE_NODE id=n_75100663951b node_type=claim\nt=0021 CREATE_NODE id=n_62e3fd7e72f3 node_type=claim\nt=0022 ASSERT_ROOT node=n_25bd0815c32d value=FALSE\nt=0023 ADD_EDGE edge_id=e_1183349b3473 source=n_dc4ab17c4de2 edge_type=supports target=n_b1d7771f0453\nt=0024 ADD_EDGE edge_id=e_630d8facee14 source=n_5b0c57de2202 edge_type=refutes target=n_2e8a633a1071\nt=0025 ADD_EDGE edge_id=e_7c7c172fb598 source=n_8cb5f0ab5f07 edge_type=refutes target=n_f01b86b0b6e0\nt=0026 ADD_EDGE edge_id=e_6ba83ee19d05 source=n_9f0c6000cec6 edge_type=supports target=n_8cb5f0ab5f07\nt=0027 ADD_EDGE edge_id=e_6991923f643c source=n_656854b11eaf edge_type=supports target=n_3dfee1e2e981\nt=0028 ADD_EDGE edge_id=e_1c89f92aea16 source=n_2e8a633a1071 edge_type=refutes target=n_62cf723e2565\nt=0029 ADD_EDGE edge_id=e_632473f5168c source=n_dc4ab17c4de2 edge_type=refutes target=n_5b0c57de2202\nt=0030 ADD_EDGE edge_id=e_36575dbc5adb source=n_8f957fe1cd12 edge_type=refutes target=n_656854b11eaf\nt=0031 ADD_EDGE edge_id=e_c5fc14938b5d source=n_3dfee1e2e981 edge_type=supports target=n_64028a6d32e8\nt=0032 ADD_EDGE edge_id=e_277d30bb4d42 source=n_25bd0815c32d edge_type=supports target=n_9f0c6000cec6\nt=0033 ADD_EDGE edge_id=e_fabbd9d23194 source=n_2e8a633a1071 edge_type=refutes target=n_400bfbe3929b\nt=0034 ADD_EDGE edge_id=e_e8eb5823b2bd source=n_dc4ab17c4de2 edge_type=refutes target=n_62e3fd7e72f3\nt=0035 ADD_EDGE edge_id=e_069d3f4bd51f source=n_2e8a633a1071 edge_type=supports target=n_bbea1ab4f0bc\nt=0036 ADD_EDGE edge_id=e_dc5e6766ec18 source=n_8cb5f0ab5f07 edge_type=supports target=n_1ccbf7a01f01\nt=0037 ADD_EDGE edge_id=e_c416497c8052 source=n_3dfee1e2e981 edge_type=refutes target=n_9c98d9e682ff\nt=0038 ADD_EDGE edge_id=e_895e8436f32a source=n_8cb5f0ab5f07 edge_type=supports target=n_b740186af877\nt=0039 ADD_EDGE edge_id=e_8e3e1e8e5bac source=n_b740186af877 edge_type=refutes target=n_8f957fe1cd12\nt=0040 ADD_EDGE edge_id=e_91d2f9ee380b source=n_62cf723e2565 edge_type=supports target=n_6d467ce57ff9\nt=0041 ADD_EDGE edge_id=e_20014c29fe8b source=n_6d467ce57ff9 edge_type=refutes target=n_75100663951b\nt=0042 ADD_EDGE edge_id=e_11a61d9829df source=n_6d467ce57ff9 edge_type=supports target=n_56f8943bd02c\nt=0043 QUERY source=n_25bd0815c32d target=n_3dfee1e2e981\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2076,"provenance":{"base_record_id":"train-d06-047","dataset":"livegraph-deterministic-parity-v3","depth":6,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d06-047","split":"train","variant":"clean"},"record_seed":988377420870975862,"render_sha256":"37d3f242e0ec12bc90d8b84f0673d42a8a6a873e1d11bd0c142062792d85927a","representation":"linear_trace","semantic_sha256":"d5f695dfb0d688343d2a2383997296980ce09446e542eb35550d6cd9f0ce0b24"}
{"char_count":4157,"item_id":"train-d07-000::linear_trace","label":"TRUE","lexical_token_proxy_count":712,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_e54e542f39b4 node_type=claim\nt=0001 CREATE_NODE id=n_50d9e78a77de node_type=claim\nt=0002 CREATE_NODE id=n_7ac8edbb1831 node_type=claim\nt=0003 CREATE_NODE id=n_f9f7c3cc7cdc node_type=claim\nt=0004 CREATE_NODE id=n_565ee4daa2ae node_type=claim\nt=0005 CREATE_NODE id=n_83ba9a3e2f41 node_type=claim\nt=0006 CREATE_NODE id=n_9368bd84b334 node_type=claim\nt=0007 CREATE_NODE id=n_84fb4118e0b0 node_type=claim\nt=0008 CREATE_NODE id=n_94fa1faf85eb node_type=claim\nt=0009 CREATE_NODE id=n_178b13233a6e node_type=claim\nt=0010 CREATE_NODE id=n_a984f67b003a node_type=claim\nt=0011 CREATE_NODE id=n_128a1c371cfd node_type=claim\nt=0012 CREATE_NODE id=n_92456f278e1e node_type=claim\nt=0013 CREATE_NODE id=n_a4c5ec624a15 node_type=claim\nt=0014 CREATE_NODE id=n_915a198e9fa4 node_type=claim\nt=0015 CREATE_NODE id=n_8be1dd73e6bb node_type=claim\nt=0016 CREATE_NODE id=n_ff31b3724458 node_type=claim\nt=0017 CREATE_NODE id=n_356e4a2ca787 node_type=claim\nt=0018 CREATE_NODE id=n_f72905a52ed5 node_type=claim\nt=0019 CREATE_NODE id=n_ec8f21e8c6f6 node_type=claim\nt=0020 CREATE_NODE id=n_db2279ba30ef node_type=claim\nt=0021 CREATE_NODE id=n_029a6957bc44 node_type=claim\nt=0022 CREATE_NODE id=n_7cb1c1f151a1 node_type=claim\nt=0023 CREATE_NODE id=n_91903bb68603 node_type=claim\nt=0024 ASSERT_ROOT node=n_a984f67b003a value=TRUE\nt=0025 ADD_EDGE edge_id=e_70c1e5f30474 source=n_915a198e9fa4 edge_type=supports target=n_8be1dd73e6bb\nt=0026 ADD_EDGE edge_id=e_fd86617c02ca source=n_a4c5ec624a15 edge_type=supports target=n_91903bb68603\nt=0027 ADD_EDGE edge_id=e_6dd8c26aa6d4 source=n_f72905a52ed5 edge_type=supports target=n_7ac8edbb1831\nt=0028 ADD_EDGE edge_id=e_085db2669423 source=n_a984f67b003a edge_type=supports target=n_f9f7c3cc7cdc\nt=0029 ADD_EDGE edge_id=e_13f684cfa164 source=n_e54e542f39b4 edge_type=supports target=n_565ee4daa2ae\nt=0030 ADD_EDGE edge_id=e_67809ad19745 source=n_356e4a2ca787 edge_type=supports target=n_e54e542f39b4\nt=0031 ADD_EDGE edge_id=e_04b3e64409b0 source=n_7cb1c1f151a1 edge_type=refutes target=n_ff31b3724458\nt=0032 ADD_EDGE edge_id=e_8030e0a2e26c source=n_a984f67b003a edge_type=supports target=n_db2279ba30ef\nt=0033 ADD_EDGE edge_id=e_a594d992d330 source=n_7cb1c1f151a1 edge_type=refutes target=n_178b13233a6e\nt=0034 ADD_EDGE edge_id=e_bc12868dc71f source=n_a984f67b003a edge_type=supports target=n_84fb4118e0b0\nt=0035 ADD_EDGE edge_id=e_61e5be9762ea source=n_029a6957bc44 edge_type=supports target=n_ec8f21e8c6f6\nt=0036 ADD_EDGE edge_id=e_b0c37069e998 source=n_83ba9a3e2f41 edge_type=refutes target=n_915a198e9fa4\nt=0037 ADD_EDGE edge_id=e_f852010adf9e source=n_565ee4daa2ae edge_type=supports target=n_029a6957bc44\nt=0038 ADD_EDGE edge_id=e_7b4b538695a4 source=n_7cb1c1f151a1 edge_type=refutes target=n_83ba9a3e2f41\nt=0039 ADD_EDGE edge_id=e_83d149e689ca source=n_a4c5ec624a15 edge_type=refutes target=n_7cb1c1f151a1\nt=0040 ADD_EDGE edge_id=e_023b7a4f639c source=n_915a198e9fa4 edge_type=refutes target=n_128a1c371cfd\nt=0041 ADD_EDGE edge_id=e_1a86b970b11f source=n_50d9e78a77de edge_type=supports target=n_9368bd84b334\nt=0042 ADD_EDGE edge_id=e_2439edefd52b source=n_7cb1c1f151a1 edge_type=refutes target=n_92456f278e1e\nt=0043 ADD_EDGE edge_id=e_1a0140a075d9 source=n_7cb1c1f151a1 edge_type=refutes target=n_50d9e78a77de\nt=0044 ADD_EDGE edge_id=e_94dadb12ce8b source=n_84fb4118e0b0 edge_type=refutes target=n_356e4a2ca787\nt=0045 ADD_EDGE edge_id=e_99ea2f842cb6 source=n_029a6957bc44 edge_type=refutes target=n_94fa1faf85eb\nt=0046 ADD_EDGE edge_id=e_f373650f075f source=n_029a6957bc44 edge_type=refutes target=n_f72905a52ed5\nt=0047 QUERY source=n_a984f67b003a target=n_7ac8edbb1831\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2273,"provenance":{"base_record_id":"train-d07-000","dataset":"livegraph-deterministic-parity-v3","depth":7,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d07-000","split":"train","variant":"clean"},"record_seed":634366371132909163,"render_sha256":"11fd9bfdedad8f4fe016f5684dec5853546a27f205f213dba4ee0b975a849fd1","representation":"linear_trace","semantic_sha256":"ef72856e64cb0fd240a3e20b943830fb5851c9328caed0c098754c31fb3400ec"}
{"char_count":4157,"item_id":"train-d07-001::linear_trace","label":"FALSE","lexical_token_proxy_count":712,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_21ac6d9b5bbc node_type=claim\nt=0001 CREATE_NODE id=n_4914beafa440 node_type=claim\nt=0002 CREATE_NODE id=n_3d699e50b527 node_type=claim\nt=0003 CREATE_NODE id=n_2476504b9a82 node_type=claim\nt=0004 CREATE_NODE id=n_10bff2d2d530 node_type=claim\nt=0005 CREATE_NODE id=n_9b5d5db46d32 node_type=claim\nt=0006 CREATE_NODE id=n_f9606cff2060 node_type=claim\nt=0007 CREATE_NODE id=n_3bc525a14d06 node_type=claim\nt=0008 CREATE_NODE id=n_2b60ee41c00e node_type=claim\nt=0009 CREATE_NODE id=n_6d73ee0396a9 node_type=claim\nt=0010 CREATE_NODE id=n_ccb0318128e6 node_type=claim\nt=0011 CREATE_NODE id=n_76f5926e4400 node_type=claim\nt=0012 CREATE_NODE id=n_5d8776620263 node_type=claim\nt=0013 CREATE_NODE id=n_7c13f40540d4 node_type=claim\nt=0014 CREATE_NODE id=n_ff64ec8c6662 node_type=claim\nt=0015 CREATE_NODE id=n_0bc48bf59428 node_type=claim\nt=0016 CREATE_NODE id=n_27231104c4cb node_type=claim\nt=0017 CREATE_NODE id=n_ffea02df6c94 node_type=claim\nt=0018 CREATE_NODE id=n_6a3ebfdcd075 node_type=claim\nt=0019 CREATE_NODE id=n_7444fc31e4b2 node_type=claim\nt=0020 CREATE_NODE id=n_b47fd9afaab7 node_type=claim\nt=0021 CREATE_NODE id=n_d204b689684a node_type=claim\nt=0022 CREATE_NODE id=n_a9e6e4b78604 node_type=claim\nt=0023 CREATE_NODE id=n_336085acf860 node_type=claim\nt=0024 ASSERT_ROOT node=n_4914beafa440 value=TRUE\nt=0025 ADD_EDGE edge_id=e_4b3011eb9aa3 source=n_0bc48bf59428 edge_type=refutes target=n_7444fc31e4b2\nt=0026 ADD_EDGE edge_id=e_864fdd7348d8 source=n_27231104c4cb edge_type=supports target=n_7c13f40540d4\nt=0027 ADD_EDGE edge_id=e_bb40aef97c91 source=n_b47fd9afaab7 edge_type=refutes target=n_10bff2d2d530\nt=0028 ADD_EDGE edge_id=e_73892da59814 source=n_76f5926e4400 edge_type=refutes target=n_d204b689684a\nt=0029 ADD_EDGE edge_id=e_bfdea00e3afb source=n_ff64ec8c6662 edge_type=refutes target=n_6d73ee0396a9\nt=0030 ADD_EDGE edge_id=e_5997445f4dcb source=n_2b60ee41c00e edge_type=refutes target=n_5d8776620263\nt=0031 ADD_EDGE edge_id=e_db02a8df6b1d source=n_3d699e50b527 edge_type=refutes target=n_3bc525a14d06\nt=0032 ADD_EDGE edge_id=e_a0415759e1c4 source=n_2b60ee41c00e edge_type=supports target=n_76f5926e4400\nt=0033 ADD_EDGE edge_id=e_7346659f9596 source=n_2b60ee41c00e edge_type=refutes target=n_3d699e50b527\nt=0034 ADD_EDGE edge_id=e_60648ba0433b source=n_4914beafa440 edge_type=supports target=n_21ac6d9b5bbc\nt=0035 ADD_EDGE edge_id=e_362c1aed4b87 source=n_4914beafa440 edge_type=refutes target=n_ffea02df6c94\nt=0036 ADD_EDGE edge_id=e_316e1f32d99f source=n_2b60ee41c00e edge_type=refutes target=n_336085acf860\nt=0037 ADD_EDGE edge_id=e_4d0f18e00f32 source=n_7c13f40540d4 edge_type=refutes target=n_f9606cff2060\nt=0038 ADD_EDGE edge_id=e_b567c7dea4fd source=n_6d73ee0396a9 edge_type=supports target=n_b47fd9afaab7\nt=0039 ADD_EDGE edge_id=e_3578f4f49b7d source=n_7444fc31e4b2 edge_type=refutes target=n_ff64ec8c6662\nt=0040 ADD_EDGE edge_id=e_494bba2d6a75 source=n_6a3ebfdcd075 edge_type=supports target=n_27231104c4cb\nt=0041 ADD_EDGE edge_id=e_049751aad719 source=n_6a3ebfdcd075 edge_type=supports target=n_9b5d5db46d32\nt=0042 ADD_EDGE edge_id=e_e1bc7bdba96f source=n_2b60ee41c00e edge_type=supports target=n_6a3ebfdcd075\nt=0043 ADD_EDGE edge_id=e_e8c833bb96e1 source=n_b47fd9afaab7 edge_type=supports target=n_ccb0318128e6\nt=0044 ADD_EDGE edge_id=e_0cf17f11ab7a source=n_21ac6d9b5bbc edge_type=supports target=n_2476504b9a82\nt=0045 ADD_EDGE edge_id=e_8d38fb321864 source=n_2476504b9a82 edge_type=supports target=n_0bc48bf59428\nt=0046 ADD_EDGE edge_id=e_dc639edbae65 source=n_21ac6d9b5bbc edge_type=supports target=n_a9e6e4b78604\nt=0047 QUERY source=n_4914beafa440 target=n_b47fd9afaab7\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2245,"provenance":{"base_record_id":"train-d07-001","dataset":"livegraph-deterministic-parity-v3","depth":7,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d07-001","split":"train","variant":"clean"},"record_seed":651610602841731062,"render_sha256":"b87bcb6a87729c8a0457e82896e32870afbef01d3a1df6a6deabb67530c3bea9","representation":"linear_trace","semantic_sha256":"9983f73205a077aa239d971b83d6d6705f796f21bdbc78a0cb1919755aeaf5d8"}
{"char_count":4158,"item_id":"train-d07-002::linear_trace","label":"TRUE","lexical_token_proxy_count":712,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_04ab97602546 node_type=claim\nt=0001 CREATE_NODE id=n_2f5cdc094bf4 node_type=claim\nt=0002 CREATE_NODE id=n_2e8b69fab541 node_type=claim\nt=0003 CREATE_NODE id=n_6b19be44f2a1 node_type=claim\nt=0004 CREATE_NODE id=n_b07e97ed102a node_type=claim\nt=0005 CREATE_NODE id=n_99f2e7fec2b8 node_type=claim\nt=0006 CREATE_NODE id=n_d05e7c462a7e node_type=claim\nt=0007 CREATE_NODE id=n_02b9820b1c65 node_type=claim\nt=0008 CREATE_NODE id=n_e0467da9a696 node_type=claim\nt=0009 CREATE_NODE id=n_073c601204b6 node_type=claim\nt=0010 CREATE_NODE id=n_a7cdbfc56611 node_type=claim\nt=0011 CREATE_NODE id=n_1047270d1b35 node_type=claim\nt=0012 CREATE_NODE id=n_a1120054452e node_type=claim\nt=0013 CREATE_NODE id=n_998c439f28cf node_type=claim\nt=0014 CREATE_NODE id=n_35cc1c9bd3e1 node_type=claim\nt=0015 CREATE_NODE id=n_db9d7ac6ecb7 node_type=claim\nt=0016 CREATE_NODE id=n_12177eeac554 node_type=claim\nt=0017 CREATE_NODE id=n_1903742f0f19 node_type=claim\nt=0018 CREATE_NODE id=n_984a47a8ba71 node_type=claim\nt=0019 CREATE_NODE id=n_ffd4efd522ef node_type=claim\nt=0020 CREATE_NODE id=n_880257fd1fe1 node_type=claim\nt=0021 CREATE_NODE id=n_6c550dc45166 node_type=claim\nt=0022 CREATE_NODE id=n_ca28c254ca47 node_type=claim\nt=0023 CREATE_NODE id=n_58f4a8ed46a4 node_type=claim\nt=0024 ASSERT_ROOT node=n_02b9820b1c65 value=FALSE\nt=0025 ADD_EDGE edge_id=e_7d253b543373 source=n_d05e7c462a7e edge_type=refutes target=n_984a47a8ba71\nt=0026 ADD_EDGE edge_id=e_5c4693e6b29f source=n_1047270d1b35 edge_type=supports target=n_a7cdbfc56611\nt=0027 ADD_EDGE edge_id=e_6c5527666db7 source=n_d05e7c462a7e edge_type=supports target=n_12177eeac554\nt=0028 ADD_EDGE edge_id=e_cddd34d306ec source=n_2e8b69fab541 edge_type=refutes target=n_2f5cdc094bf4\nt=0029 ADD_EDGE edge_id=e_65577e706eb0 source=n_99f2e7fec2b8 edge_type=refutes target=n_d05e7c462a7e\nt=0030 ADD_EDGE edge_id=e_5c6ca1f30335 source=n_1047270d1b35 edge_type=supports target=n_1903742f0f19\nt=0031 ADD_EDGE edge_id=e_69a23c2bf7ea source=n_1047270d1b35 edge_type=refutes target=n_e0467da9a696\nt=0032 ADD_EDGE edge_id=e_6fa7856831d9 source=n_db9d7ac6ecb7 edge_type=refutes target=n_a1120054452e\nt=0033 ADD_EDGE edge_id=e_c45de4216c8e source=n_2e8b69fab541 edge_type=supports target=n_99f2e7fec2b8\nt=0034 ADD_EDGE edge_id=e_ae6b9706473d source=n_e0467da9a696 edge_type=supports target=n_35cc1c9bd3e1\nt=0035 ADD_EDGE edge_id=e_f71045bf33bc source=n_04ab97602546 edge_type=refutes target=n_880257fd1fe1\nt=0036 ADD_EDGE edge_id=e_2ae7474f704c source=n_a1120054452e edge_type=supports target=n_2e8b69fab541\nt=0037 ADD_EDGE edge_id=e_5c911ae3c4a0 source=n_d05e7c462a7e edge_type=supports target=n_6b19be44f2a1\nt=0038 ADD_EDGE edge_id=e_c94f4b3793e3 source=n_b07e97ed102a edge_type=refutes target=n_1047270d1b35\nt=0039 ADD_EDGE edge_id=e_3dafad8ae325 source=n_02b9820b1c65 edge_type=supports target=n_db9d7ac6ecb7\nt=0040 ADD_EDGE edge_id=e_088c4d0f67cb source=n_b07e97ed102a edge_type=refutes target=n_04ab97602546\nt=0041 ADD_EDGE edge_id=e_5906612ca153 source=n_a7cdbfc56611 edge_type=refutes target=n_073c601204b6\nt=0042 ADD_EDGE edge_id=e_eed44318550d source=n_2e8b69fab541 edge_type=refutes target=n_998c439f28cf\nt=0043 ADD_EDGE edge_id=e_bc7f7d5b3404 source=n_984a47a8ba71 edge_type=supports target=n_ca28c254ca47\nt=0044 ADD_EDGE edge_id=e_a9e3f0e91e47 source=n_04ab97602546 edge_type=refutes target=n_ffd4efd522ef\nt=0045 ADD_EDGE edge_id=e_6756d8183c25 source=n_b07e97ed102a edge_type=supports target=n_58f4a8ed46a4\nt=0046 ADD_EDGE edge_id=e_dcb1c3c6b508 source=n_35cc1c9bd3e1 edge_type=supports target=n_6c550dc45166\nt=0047 QUERY source=n_02b9820b1c65 target=n_ca28c254ca47\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2273,"provenance":{"base_record_id":"train-d07-002","dataset":"livegraph-deterministic-parity-v3","depth":7,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d07-002","split":"train","variant":"clean"},"record_seed":784293188370747171,"render_sha256":"e5432b3b9d16a643d21e71615b2e7288258650de709f395bdb8c584c5111556d","representation":"linear_trace","semantic_sha256":"02fae9bc834b249dacbe9715a1b43e12fd5afc5bf5f763577addda9f11dc885c"}
{"char_count":4158,"item_id":"train-d07-003::linear_trace","label":"FALSE","lexical_token_proxy_count":712,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_62ed9eecef3e node_type=claim\nt=0001 CREATE_NODE id=n_832464e16f3d node_type=claim\nt=0002 CREATE_NODE id=n_ae258826642f node_type=claim\nt=0003 CREATE_NODE id=n_f2f411188434 node_type=claim\nt=0004 CREATE_NODE id=n_9bf92f1e8076 node_type=claim\nt=0005 CREATE_NODE id=n_21abef5bf21b node_type=claim\nt=0006 CREATE_NODE id=n_f0765069ccde node_type=claim\nt=0007 CREATE_NODE id=n_d652f5ce387a node_type=claim\nt=0008 CREATE_NODE id=n_2a329bcc934d node_type=claim\nt=0009 CREATE_NODE id=n_78c8aaf00560 node_type=claim\nt=0010 CREATE_NODE id=n_68c47d956ea7 node_type=claim\nt=0011 CREATE_NODE id=n_256afdf7c49e node_type=claim\nt=0012 CREATE_NODE id=n_1b4fa64a1b4b node_type=claim\nt=0013 CREATE_NODE id=n_5bd87d5a80fe node_type=claim\nt=0014 CREATE_NODE id=n_96c68cbfab67 node_type=claim\nt=0015 CREATE_NODE id=n_0843ce9353c4 node_type=claim\nt=0016 CREATE_NODE id=n_4d9ec41bb7e1 node_type=claim\nt=0017 CREATE_NODE id=n_5c6027aa2911 node_type=claim\nt=0018 CREATE_NODE id=n_7b498687a49a node_type=claim\nt=0019 CREATE_NODE id=n_6460dd8ce586 node_type=claim\nt=0020 CREATE_NODE id=n_632f7d1006b0 node_type=claim\nt=0021 CREATE_NODE id=n_3325e5abf574 node_type=claim\nt=0022 CREATE_NODE id=n_f5ad4b3aed2c node_type=claim\nt=0023 CREATE_NODE id=n_9421aeaf7820 node_type=claim\nt=0024 ASSERT_ROOT node=n_1b4fa64a1b4b value=FALSE\nt=0025 ADD_EDGE edge_id=e_3a3138c59b34 source=n_1b4fa64a1b4b edge_type=refutes target=n_ae258826642f\nt=0026 ADD_EDGE edge_id=e_ad75bd9e9d9c source=n_68c47d956ea7 edge_type=refutes target=n_d652f5ce387a\nt=0027 ADD_EDGE edge_id=e_444913dd2dbe source=n_9bf92f1e8076 edge_type=refutes target=n_68c47d956ea7\nt=0028 ADD_EDGE edge_id=e_1fa5c342a3b6 source=n_832464e16f3d edge_type=supports target=n_9421aeaf7820\nt=0029 ADD_EDGE edge_id=e_e89318e65d77 source=n_78c8aaf00560 edge_type=supports target=n_21abef5bf21b\nt=0030 ADD_EDGE edge_id=e_10671a327fae source=n_f5ad4b3aed2c edge_type=refutes target=n_5c6027aa2911\nt=0031 ADD_EDGE edge_id=e_3457be10d79e source=n_f0765069ccde edge_type=refutes target=n_4d9ec41bb7e1\nt=0032 ADD_EDGE edge_id=e_0baa6163bcad source=n_f5ad4b3aed2c edge_type=refutes target=n_832464e16f3d\nt=0033 ADD_EDGE edge_id=e_eb2afc871ac3 source=n_f0765069ccde edge_type=supports target=n_3325e5abf574\nt=0034 ADD_EDGE edge_id=e_21fa4abebdb0 source=n_78c8aaf00560 edge_type=supports target=n_632f7d1006b0\nt=0035 ADD_EDGE edge_id=e_43fc12fbb17e source=n_d652f5ce387a edge_type=refutes target=n_256afdf7c49e\nt=0036 ADD_EDGE edge_id=e_04f7c813dc77 source=n_9421aeaf7820 edge_type=refutes target=n_6460dd8ce586\nt=0037 ADD_EDGE edge_id=e_63e86302bc8d source=n_9421aeaf7820 edge_type=supports target=n_9bf92f1e8076\nt=0038 ADD_EDGE edge_id=e_9cb0938efab3 source=n_4d9ec41bb7e1 edge_type=refutes target=n_f2f411188434\nt=0039 ADD_EDGE edge_id=e_fc1e12bb86b4 source=n_f0765069ccde edge_type=supports target=n_0843ce9353c4\nt=0040 ADD_EDGE edge_id=e_ebb6df71cb11 source=n_78c8aaf00560 edge_type=supports target=n_2a329bcc934d\nt=0041 ADD_EDGE edge_id=e_281717b193bb source=n_f0765069ccde edge_type=supports target=n_78c8aaf00560\nt=0042 ADD_EDGE edge_id=e_5a342d38a987 source=n_4d9ec41bb7e1 edge_type=supports target=n_96c68cbfab67\nt=0043 ADD_EDGE edge_id=e_1182e4fcba99 source=n_21abef5bf21b edge_type=refutes target=n_5bd87d5a80fe\nt=0044 ADD_EDGE edge_id=e_0f06a9c0ed8a source=n_1b4fa64a1b4b edge_type=supports target=n_f5ad4b3aed2c\nt=0045 ADD_EDGE edge_id=e_b9c999405e5f source=n_256afdf7c49e edge_type=supports target=n_7b498687a49a\nt=0046 ADD_EDGE edge_id=e_7fe83634b5fe source=n_f0765069ccde edge_type=refutes target=n_62ed9eecef3e\nt=0047 QUERY source=n_1b4fa64a1b4b target=n_256afdf7c49e\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2239,"provenance":{"base_record_id":"train-d07-003","dataset":"livegraph-deterministic-parity-v3","depth":7,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d07-003","split":"train","variant":"clean"},"record_seed":594755681395824565,"render_sha256":"03ca5b49ac422d32b9ff1bf1b92e82c50df61db1197fe7bc94c9198b209c87e2","representation":"linear_trace","semantic_sha256":"a1e9cad531d9221b140f28cc39554e7ed5574c42c393376d26016c9e2deef8f8"}
{"char_count":4157,"item_id":"train-d07-004::linear_trace","label":"TRUE","lexical_token_proxy_count":712,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_8ddafa6b1f0b node_type=claim\nt=0001 CREATE_NODE id=n_d952a269eb55 node_type=claim\nt=0002 CREATE_NODE id=n_45c476863bea node_type=claim\nt=0003 CREATE_NODE id=n_cd6385daf5bb node_type=claim\nt=0004 CREATE_NODE id=n_d3258ad19c32 node_type=claim\nt=0005 CREATE_NODE id=n_9917fb7598e4 node_type=claim\nt=0006 CREATE_NODE id=n_7fbc3e2ba5d3 node_type=claim\nt=0007 CREATE_NODE id=n_e4f0494ddcf1 node_type=claim\nt=0008 CREATE_NODE id=n_7b06f05e070f node_type=claim\nt=0009 CREATE_NODE id=n_d88a362a4b24 node_type=claim\nt=0010 CREATE_NODE id=n_65e7156128a2 node_type=claim\nt=0011 CREATE_NODE id=n_30c6035e0030 node_type=claim\nt=0012 CREATE_NODE id=n_17d40fa415c8 node_type=claim\nt=0013 CREATE_NODE id=n_72dfcd822f79 node_type=claim\nt=0014 CREATE_NODE id=n_f1825ffef6fa node_type=claim\nt=0015 CREATE_NODE id=n_ebab4188b8d3 node_type=claim\nt=0016 CREATE_NODE id=n_0803a7d48a8c node_type=claim\nt=0017 CREATE_NODE id=n_cdd3ef30eda0 node_type=claim\nt=0018 CREATE_NODE id=n_64da71139628 node_type=claim\nt=0019 CREATE_NODE id=n_c3029ebcbdef node_type=claim\nt=0020 CREATE_NODE id=n_99fd2dd831e3 node_type=claim\nt=0021 CREATE_NODE id=n_b37648226f50 node_type=claim\nt=0022 CREATE_NODE id=n_2f527c1221c3 node_type=claim\nt=0023 CREATE_NODE id=n_bd463e7aaffa node_type=claim\nt=0024 ASSERT_ROOT node=n_ebab4188b8d3 value=TRUE\nt=0025 ADD_EDGE edge_id=e_8c0f61a4f15a source=n_64da71139628 edge_type=refutes target=n_0803a7d48a8c\nt=0026 ADD_EDGE edge_id=e_a70732aaa3c9 source=n_72dfcd822f79 edge_type=refutes target=n_7fbc3e2ba5d3\nt=0027 ADD_EDGE edge_id=e_1876f855faa9 source=n_8ddafa6b1f0b edge_type=refutes target=n_17d40fa415c8\nt=0028 ADD_EDGE edge_id=e_2a463e3a4a02 source=n_65e7156128a2 edge_type=refutes target=n_d3258ad19c32\nt=0029 ADD_EDGE edge_id=e_916d1a1c941b source=n_2f527c1221c3 edge_type=refutes target=n_7b06f05e070f\nt=0030 ADD_EDGE edge_id=e_34be4c1ae160 source=n_d88a362a4b24 edge_type=supports target=n_cd6385daf5bb\nt=0031 ADD_EDGE edge_id=e_ee0ff5ca3a63 source=n_e4f0494ddcf1 edge_type=supports target=n_72dfcd822f79\nt=0032 ADD_EDGE edge_id=e_d2a4112d158d source=n_8ddafa6b1f0b edge_type=supports target=n_99fd2dd831e3\nt=0033 ADD_EDGE edge_id=e_1ea99fd5c967 source=n_65e7156128a2 edge_type=supports target=n_2f527c1221c3\nt=0034 ADD_EDGE edge_id=e_41d8b7e872aa source=n_cd6385daf5bb edge_type=supports target=n_9917fb7598e4\nt=0035 ADD_EDGE edge_id=e_8fb170230d9b source=n_0803a7d48a8c edge_type=refutes target=n_c3029ebcbdef\nt=0036 ADD_EDGE edge_id=e_9907180a4272 source=n_ebab4188b8d3 edge_type=refutes target=n_e4f0494ddcf1\nt=0037 ADD_EDGE edge_id=e_bb1fe134ea38 source=n_b37648226f50 edge_type=supports target=n_65e7156128a2\nt=0038 ADD_EDGE edge_id=e_0d326a4652dc source=n_b37648226f50 edge_type=refutes target=n_d952a269eb55\nt=0039 ADD_EDGE edge_id=e_8aa97b91b0a0 source=n_72dfcd822f79 edge_type=supports target=n_64da71139628\nt=0040 ADD_EDGE edge_id=e_e5b2cbde24cf source=n_c3029ebcbdef edge_type=refutes target=n_d88a362a4b24\nt=0041 ADD_EDGE edge_id=e_215a8fe86041 source=n_d88a362a4b24 edge_type=supports target=n_30c6035e0030\nt=0042 ADD_EDGE edge_id=e_ed40c4b50bd5 source=n_d952a269eb55 edge_type=supports target=n_f1825ffef6fa\nt=0043 ADD_EDGE edge_id=e_092d7e536b5f source=n_b37648226f50 edge_type=refutes target=n_45c476863bea\nt=0044 ADD_EDGE edge_id=e_5f6fa90bf215 source=n_c3029ebcbdef edge_type=supports target=n_bd463e7aaffa\nt=0045 ADD_EDGE edge_id=e_3c83b8a962c0 source=n_cdd3ef30eda0 edge_type=supports target=n_b37648226f50\nt=0046 ADD_EDGE edge_id=e_07ac73982246 source=n_2f527c1221c3 edge_type=refutes target=n_8ddafa6b1f0b\nt=0047 QUERY source=n_ebab4188b8d3 target=n_cd6385daf5bb\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2242,"provenance":{"base_record_id":"train-d07-004","dataset":"livegraph-deterministic-parity-v3","depth":7,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d07-004","split":"train","variant":"clean"},"record_seed":893132856342903417,"render_sha256":"f70160ea01b4c81000516762fb330613b0f9fb8c93ddfad114acf3dd1b6f23c4","representation":"linear_trace","semantic_sha256":"45e8aa59697342bdf35cc00d15bc49e7dc51c4ac14b0cfee109c71c921095496"}
{"char_count":4157,"item_id":"train-d07-005::linear_trace","label":"FALSE","lexical_token_proxy_count":712,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_8a2ec3c064bd node_type=claim\nt=0001 CREATE_NODE id=n_9fce18493ac1 node_type=claim\nt=0002 CREATE_NODE id=n_11f5c87b725b node_type=claim\nt=0003 CREATE_NODE id=n_d7317bb34227 node_type=claim\nt=0004 CREATE_NODE id=n_f9b0845038f3 node_type=claim\nt=0005 CREATE_NODE id=n_ff6fe6e1cca8 node_type=claim\nt=0006 CREATE_NODE id=n_24ecab339e8b node_type=claim\nt=0007 CREATE_NODE id=n_29b11bd582e3 node_type=claim\nt=0008 CREATE_NODE id=n_09410a9a9bec node_type=claim\nt=0009 CREATE_NODE id=n_7883bebc1a94 node_type=claim\nt=0010 CREATE_NODE id=n_1d4fecd64cd8 node_type=claim\nt=0011 CREATE_NODE id=n_ed7a5b744a98 node_type=claim\nt=0012 CREATE_NODE id=n_bf3673c8edcf node_type=claim\nt=0013 CREATE_NODE id=n_c0ae386560d4 node_type=claim\nt=0014 CREATE_NODE id=n_777c030f586e node_type=claim\nt=0015 CREATE_NODE id=n_6d5429805d99 node_type=claim\nt=0016 CREATE_NODE id=n_9aaa1de0d0de node_type=claim\nt=0017 CREATE_NODE id=n_e6a9ca6abb9c node_type=claim\nt=0018 CREATE_NODE id=n_6a2780b58d9b node_type=claim\nt=0019 CREATE_NODE id=n_4c96e3ee8dce node_type=claim\nt=0020 CREATE_NODE id=n_24266b857681 node_type=claim\nt=0021 CREATE_NODE id=n_33cf3da2d6aa node_type=claim\nt=0022 CREATE_NODE id=n_cc8d51b83c3a node_type=claim\nt=0023 CREATE_NODE id=n_87c4c067274f node_type=claim\nt=0024 ASSERT_ROOT node=n_ff6fe6e1cca8 value=TRUE\nt=0025 ADD_EDGE edge_id=e_5e78537fcc24 source=n_ed7a5b744a98 edge_type=refutes target=n_bf3673c8edcf\nt=0026 ADD_EDGE edge_id=e_ee812ed05d7d source=n_4c96e3ee8dce edge_type=refutes target=n_8a2ec3c064bd\nt=0027 ADD_EDGE edge_id=e_54d5b844c31b source=n_6a2780b58d9b edge_type=refutes target=n_7883bebc1a94\nt=0028 ADD_EDGE edge_id=e_d6aa30200d94 source=n_6d5429805d99 edge_type=supports target=n_24266b857681\nt=0029 ADD_EDGE edge_id=e_c7e60006387d source=n_24266b857681 edge_type=refutes target=n_29b11bd582e3\nt=0030 ADD_EDGE edge_id=e_64029f4cf4dd source=n_bf3673c8edcf edge_type=refutes target=n_9fce18493ac1\nt=0031 ADD_EDGE edge_id=e_b7ce7e92ab67 source=n_6a2780b58d9b edge_type=supports target=n_e6a9ca6abb9c\nt=0032 ADD_EDGE edge_id=e_2c0723132946 source=n_bf3673c8edcf edge_type=supports target=n_c0ae386560d4\nt=0033 ADD_EDGE edge_id=e_61c46c395896 source=n_6d5429805d99 edge_type=supports target=n_6a2780b58d9b\nt=0034 ADD_EDGE edge_id=e_717b97130c59 source=n_cc8d51b83c3a edge_type=supports target=n_1d4fecd64cd8\nt=0035 ADD_EDGE edge_id=e_b41d379aa281 source=n_09410a9a9bec edge_type=supports target=n_9aaa1de0d0de\nt=0036 ADD_EDGE edge_id=e_27d9db04cff3 source=n_9fce18493ac1 edge_type=supports target=n_777c030f586e\nt=0037 ADD_EDGE edge_id=e_dc37d7b7e34b source=n_6d5429805d99 edge_type=refutes target=n_4c96e3ee8dce\nt=0038 ADD_EDGE edge_id=e_32e93df4eabd source=n_ff6fe6e1cca8 edge_type=refutes target=n_09410a9a9bec\nt=0039 ADD_EDGE edge_id=e_f0b54f3c5568 source=n_e6a9ca6abb9c edge_type=supports target=n_87c4c067274f\nt=0040 ADD_EDGE edge_id=e_874719856d18 source=n_9aaa1de0d0de edge_type=supports target=n_ed7a5b744a98\nt=0041 ADD_EDGE edge_id=e_7697cfb24627 source=n_777c030f586e edge_type=refutes target=n_f9b0845038f3\nt=0042 ADD_EDGE edge_id=e_75481b6c5f5a source=n_1d4fecd64cd8 edge_type=refutes target=n_33cf3da2d6aa\nt=0043 ADD_EDGE edge_id=e_e71b24ecb985 source=n_e6a9ca6abb9c edge_type=refutes target=n_cc8d51b83c3a\nt=0044 ADD_EDGE edge_id=e_c7eaac1b69d4 source=n_ed7a5b744a98 edge_type=refutes target=n_d7317bb34227\nt=0045 ADD_EDGE edge_id=e_f396b80572b4 source=n_777c030f586e edge_type=supports target=n_24ecab339e8b\nt=0046 ADD_EDGE edge_id=e_a4c383c7ee0b source=n_09410a9a9bec edge_type=supports target=n_11f5c87b725b\nt=0047 QUERY source=n_ff6fe6e1cca8 target=n_24ecab339e8b\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2251,"provenance":{"base_record_id":"train-d07-005","dataset":"livegraph-deterministic-parity-v3","depth":7,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d07-005","split":"train","variant":"clean"},"record_seed":892528231251286401,"render_sha256":"2d081fe54515e5d96857ad00e4d7ea40c2399c631c013196777fd402746f5b1d","representation":"linear_trace","semantic_sha256":"5caaa3930d7af5125419d764411f794ee01e8782a18cbc6140827015bfed7cfb"}
{"char_count":4158,"item_id":"train-d07-006::linear_trace","label":"TRUE","lexical_token_proxy_count":712,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_3ec1a2719421 node_type=claim\nt=0001 CREATE_NODE id=n_a0da205b5302 node_type=claim\nt=0002 CREATE_NODE id=n_51b0211e5d5e node_type=claim\nt=0003 CREATE_NODE id=n_7e06b6a3bfe5 node_type=claim\nt=0004 CREATE_NODE id=n_7108d50d0e26 node_type=claim\nt=0005 CREATE_NODE id=n_40b879b1d9c4 node_type=claim\nt=0006 CREATE_NODE id=n_da6d4a54dd00 node_type=claim\nt=0007 CREATE_NODE id=n_4fc0f74b92bf node_type=claim\nt=0008 CREATE_NODE id=n_27dce608d27d node_type=claim\nt=0009 CREATE_NODE id=n_4de44f524f15 node_type=claim\nt=0010 CREATE_NODE id=n_0fbd25f2a7cf node_type=claim\nt=0011 CREATE_NODE id=n_7c18862c95f1 node_type=claim\nt=0012 CREATE_NODE id=n_f4c8dcb0ecfb node_type=claim\nt=0013 CREATE_NODE id=n_ae8d478cf23f node_type=claim\nt=0014 CREATE_NODE id=n_69da6f7f0c9a node_type=claim\nt=0015 CREATE_NODE id=n_5410aa5dde38 node_type=claim\nt=0016 CREATE_NODE id=n_756f2ca570ef node_type=claim\nt=0017 CREATE_NODE id=n_107afc50eb51 node_type=claim\nt=0018 CREATE_NODE id=n_b4e796fe49bc node_type=claim\nt=0019 CREATE_NODE id=n_d7f80480ea23 node_type=claim\nt=0020 CREATE_NODE id=n_4f99bd0bb27d node_type=claim\nt=0021 CREATE_NODE id=n_feff57bcb422 node_type=claim\nt=0022 CREATE_NODE id=n_7b0eb6c5989b node_type=claim\nt=0023 CREATE_NODE id=n_b9c868f9dd57 node_type=claim\nt=0024 ASSERT_ROOT node=n_7c18862c95f1 value=FALSE\nt=0025 ADD_EDGE edge_id=e_2aa893a41ff6 source=n_40b879b1d9c4 edge_type=supports target=n_feff57bcb422\nt=0026 ADD_EDGE edge_id=e_c89d94665de3 source=n_7c18862c95f1 edge_type=refutes target=n_4f99bd0bb27d\nt=0027 ADD_EDGE edge_id=e_4421992534d6 source=n_ae8d478cf23f edge_type=refutes target=n_40b879b1d9c4\nt=0028 ADD_EDGE edge_id=e_6eeb672b5201 source=n_f4c8dcb0ecfb edge_type=supports target=n_7b0eb6c5989b\nt=0029 ADD_EDGE edge_id=e_c6fcc488ddc5 source=n_7e06b6a3bfe5 edge_type=refutes target=n_4de44f524f15\nt=0030 ADD_EDGE edge_id=e_f6a5570bc1a2 source=n_40b879b1d9c4 edge_type=refutes target=n_b9c868f9dd57\nt=0031 ADD_EDGE edge_id=e_962ce89a92f3 source=n_7c18862c95f1 edge_type=refutes target=n_51b0211e5d5e\nt=0032 ADD_EDGE edge_id=e_5e604e2153a0 source=n_feff57bcb422 edge_type=supports target=n_756f2ca570ef\nt=0033 ADD_EDGE edge_id=e_4c22403f938d source=n_f4c8dcb0ecfb edge_type=supports target=n_0fbd25f2a7cf\nt=0034 ADD_EDGE edge_id=e_3954cff6d41b source=n_7e06b6a3bfe5 edge_type=supports target=n_3ec1a2719421\nt=0035 ADD_EDGE edge_id=e_badf429f4bfd source=n_7e06b6a3bfe5 edge_type=refutes target=n_b4e796fe49bc\nt=0036 ADD_EDGE edge_id=e_59f99cf6afaf source=n_f4c8dcb0ecfb edge_type=refutes target=n_4fc0f74b92bf\nt=0037 ADD_EDGE edge_id=e_1f4f43b0dfdf source=n_7c18862c95f1 edge_type=refutes target=n_a0da205b5302\nt=0038 ADD_EDGE edge_id=e_a92aa188942d source=n_7108d50d0e26 edge_type=supports target=n_ae8d478cf23f\nt=0039 ADD_EDGE edge_id=e_c30311a3d811 source=n_51b0211e5d5e edge_type=supports target=n_107afc50eb51\nt=0040 ADD_EDGE edge_id=e_21f3a8cae542 source=n_107afc50eb51 edge_type=refutes target=n_7108d50d0e26\nt=0041 ADD_EDGE edge_id=e_27b77dec8bf7 source=n_3ec1a2719421 edge_type=refutes target=n_d7f80480ea23\nt=0042 ADD_EDGE edge_id=e_83dbc866f52d source=n_4fc0f74b92bf edge_type=supports target=n_69da6f7f0c9a\nt=0043 ADD_EDGE edge_id=e_e75ee244f741 source=n_7e06b6a3bfe5 edge_type=supports target=n_f4c8dcb0ecfb\nt=0044 ADD_EDGE edge_id=e_7826af2670d1 source=n_feff57bcb422 edge_type=supports target=n_5410aa5dde38\nt=0045 ADD_EDGE edge_id=e_ec1b276e04b1 source=n_7b0eb6c5989b edge_type=supports target=n_da6d4a54dd00\nt=0046 ADD_EDGE edge_id=e_639bb48764d3 source=n_3ec1a2719421 edge_type=refutes target=n_27dce608d27d\nt=0047 QUERY source=n_7c18862c95f1 target=n_5410aa5dde38\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2255,"provenance":{"base_record_id":"train-d07-006","dataset":"livegraph-deterministic-parity-v3","depth":7,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d07-006","split":"train","variant":"clean"},"record_seed":39553010507298408,"render_sha256":"eafda60e1ccddc6720895a7123cc2b520f47e81e320b6d42597295f3bf68aff5","representation":"linear_trace","semantic_sha256":"2c1614dc8a55cb22891924fd3a7e47ed40ef40b35ed27785c5980febba3c42b6"}
{"char_count":4158,"item_id":"train-d07-007::linear_trace","label":"FALSE","lexical_token_proxy_count":712,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_68ed0006d017 node_type=claim\nt=0001 CREATE_NODE id=n_6bdc54be30ff node_type=claim\nt=0002 CREATE_NODE id=n_20e5e96413cc node_type=claim\nt=0003 CREATE_NODE id=n_8709875d4e7b node_type=claim\nt=0004 CREATE_NODE id=n_0abdb954dc3a node_type=claim\nt=0005 CREATE_NODE id=n_8f28235edd36 node_type=claim\nt=0006 CREATE_NODE id=n_a3f57345f532 node_type=claim\nt=0007 CREATE_NODE id=n_e0ea18a0615a node_type=claim\nt=0008 CREATE_NODE id=n_7ebcab4308f4 node_type=claim\nt=0009 CREATE_NODE id=n_f0972bcbe6d3 node_type=claim\nt=0010 CREATE_NODE id=n_25c9f218bcfd node_type=claim\nt=0011 CREATE_NODE id=n_40e61e21467b node_type=claim\nt=0012 CREATE_NODE id=n_4a3c35781168 node_type=claim\nt=0013 CREATE_NODE id=n_839d70a73add node_type=claim\nt=0014 CREATE_NODE id=n_df5fc339b1ed node_type=claim\nt=0015 CREATE_NODE id=n_8494c227de57 node_type=claim\nt=0016 CREATE_NODE id=n_5b7de2008179 node_type=claim\nt=0017 CREATE_NODE id=n_4a980f5828a9 node_type=claim\nt=0018 CREATE_NODE id=n_ce4ce4a9e654 node_type=claim\nt=0019 CREATE_NODE id=n_c047ab1ac651 node_type=claim\nt=0020 CREATE_NODE id=n_66f2c112e512 node_type=claim\nt=0021 CREATE_NODE id=n_f602c57816e4 node_type=claim\nt=0022 CREATE_NODE id=n_4f268642262d node_type=claim\nt=0023 CREATE_NODE id=n_7f816dace4a9 node_type=claim\nt=0024 ASSERT_ROOT node=n_7ebcab4308f4 value=FALSE\nt=0025 ADD_EDGE edge_id=e_2d7a11235cbc source=n_7ebcab4308f4 edge_type=refutes target=n_839d70a73add\nt=0026 ADD_EDGE edge_id=e_9c22c6913093 source=n_66f2c112e512 edge_type=refutes target=n_f0972bcbe6d3\nt=0027 ADD_EDGE edge_id=e_80ae6489836e source=n_ce4ce4a9e654 edge_type=supports target=n_5b7de2008179\nt=0028 ADD_EDGE edge_id=e_ea99798729a7 source=n_6bdc54be30ff edge_type=refutes target=n_c047ab1ac651\nt=0029 ADD_EDGE edge_id=e_478c188356d5 source=n_e0ea18a0615a edge_type=refutes target=n_66f2c112e512\nt=0030 ADD_EDGE edge_id=e_a0b0a1050713 source=n_e0ea18a0615a edge_type=supports target=n_4a980f5828a9\nt=0031 ADD_EDGE edge_id=e_d54408d59d0a source=n_8f28235edd36 edge_type=supports target=n_8494c227de57\nt=0032 ADD_EDGE edge_id=e_1ccd9fa70e73 source=n_8709875d4e7b edge_type=supports target=n_68ed0006d017\nt=0033 ADD_EDGE edge_id=e_623a763b5d7c source=n_68ed0006d017 edge_type=supports target=n_40e61e21467b\nt=0034 ADD_EDGE edge_id=e_df5d55c15f34 source=n_ce4ce4a9e654 edge_type=refutes target=n_20e5e96413cc\nt=0035 ADD_EDGE edge_id=e_9e283d3b9d08 source=n_25c9f218bcfd edge_type=supports target=n_4a3c35781168\nt=0036 ADD_EDGE edge_id=e_7e50a379762f source=n_a3f57345f532 edge_type=supports target=n_8709875d4e7b\nt=0037 ADD_EDGE edge_id=e_fc3f31ae770b source=n_c047ab1ac651 edge_type=supports target=n_7f816dace4a9\nt=0038 ADD_EDGE edge_id=e_7866693b6a7e source=n_7ebcab4308f4 edge_type=supports target=n_6bdc54be30ff\nt=0039 ADD_EDGE edge_id=e_3b911afcacf3 source=n_66f2c112e512 edge_type=refutes target=n_df5fc339b1ed\nt=0040 ADD_EDGE edge_id=e_2517ba28e5b9 source=n_c047ab1ac651 edge_type=refutes target=n_ce4ce4a9e654\nt=0041 ADD_EDGE edge_id=e_1d7c39c447d0 source=n_ce4ce4a9e654 edge_type=supports target=n_a3f57345f532\nt=0042 ADD_EDGE edge_id=e_4410d17d6589 source=n_8f28235edd36 edge_type=supports target=n_25c9f218bcfd\nt=0043 ADD_EDGE edge_id=e_1e45b7cf539f source=n_66f2c112e512 edge_type=refutes target=n_8f28235edd36\nt=0044 ADD_EDGE edge_id=e_149518c851ba source=n_66f2c112e512 edge_type=refutes target=n_0abdb954dc3a\nt=0045 ADD_EDGE edge_id=e_71764cbb8514 source=n_25c9f218bcfd edge_type=refutes target=n_f602c57816e4\nt=0046 ADD_EDGE edge_id=e_411a119bdb44 source=n_4a3c35781168 edge_type=refutes target=n_4f268642262d\nt=0047 QUERY source=n_7ebcab4308f4 target=n_40e61e21467b\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2276,"provenance":{"base_record_id":"train-d07-007","dataset":"livegraph-deterministic-parity-v3","depth":7,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d07-007","split":"train","variant":"clean"},"record_seed":121277746634108032,"render_sha256":"4ff4503500e2792e10a38b2b833a200e2731153257bf0147d889deecb43a6a75","representation":"linear_trace","semantic_sha256":"fea8a5ad66d3cd284433d5d3af92d499ef3ce4e2fb74b63eaa4631cbef67cadd"}
{"char_count":4157,"item_id":"train-d07-008::linear_trace","label":"TRUE","lexical_token_proxy_count":712,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_2b58ea5c8427 node_type=claim\nt=0001 CREATE_NODE id=n_9039f43e9ce2 node_type=claim\nt=0002 CREATE_NODE id=n_4651467760c2 node_type=claim\nt=0003 CREATE_NODE id=n_dd7bc9de1ad0 node_type=claim\nt=0004 CREATE_NODE id=n_5b784fad40ee node_type=claim\nt=0005 CREATE_NODE id=n_2daaf150dd88 node_type=claim\nt=0006 CREATE_NODE id=n_21d4e8d466aa node_type=claim\nt=0007 CREATE_NODE id=n_5bf1da099dc1 node_type=claim\nt=0008 CREATE_NODE id=n_7b47993a1761 node_type=claim\nt=0009 CREATE_NODE id=n_a7caf8f00182 node_type=claim\nt=0010 CREATE_NODE id=n_0a92bf9982af node_type=claim\nt=0011 CREATE_NODE id=n_df159a020071 node_type=claim\nt=0012 CREATE_NODE id=n_f73b117fe046 node_type=claim\nt=0013 CREATE_NODE id=n_b9035114d100 node_type=claim\nt=0014 CREATE_NODE id=n_168506a5da75 node_type=claim\nt=0015 CREATE_NODE id=n_17f0cce8ce39 node_type=claim\nt=0016 CREATE_NODE id=n_7ad34a4695e9 node_type=claim\nt=0017 CREATE_NODE id=n_9d6a603804c2 node_type=claim\nt=0018 CREATE_NODE id=n_0ce7b3ad2af2 node_type=claim\nt=0019 CREATE_NODE id=n_c640b4fcd457 node_type=claim\nt=0020 CREATE_NODE id=n_c79af9100513 node_type=claim\nt=0021 CREATE_NODE id=n_951fea9c3540 node_type=claim\nt=0022 CREATE_NODE id=n_24740e27cd17 node_type=claim\nt=0023 CREATE_NODE id=n_e959cd7f1151 node_type=claim\nt=0024 ASSERT_ROOT node=n_9039f43e9ce2 value=TRUE\nt=0025 ADD_EDGE edge_id=e_c47d6d02f32e source=n_168506a5da75 edge_type=supports target=n_5b784fad40ee\nt=0026 ADD_EDGE edge_id=e_1092d9ab33ae source=n_9039f43e9ce2 edge_type=supports target=n_c640b4fcd457\nt=0027 ADD_EDGE edge_id=e_3796a2e11028 source=n_0ce7b3ad2af2 edge_type=refutes target=n_9d6a603804c2\nt=0028 ADD_EDGE edge_id=e_db74c1e6afcd source=n_5b784fad40ee edge_type=supports target=n_b9035114d100\nt=0029 ADD_EDGE edge_id=e_9b2d4c305304 source=n_5bf1da099dc1 edge_type=refutes target=n_0ce7b3ad2af2\nt=0030 ADD_EDGE edge_id=e_5cda89af3380 source=n_7b47993a1761 edge_type=refutes target=n_2b58ea5c8427\nt=0031 ADD_EDGE edge_id=e_1ac9544bc0db source=n_9039f43e9ce2 edge_type=refutes target=n_168506a5da75\nt=0032 ADD_EDGE edge_id=e_421bc2c4b808 source=n_dd7bc9de1ad0 edge_type=supports target=n_0a92bf9982af\nt=0033 ADD_EDGE edge_id=e_8693024d582b source=n_7b47993a1761 edge_type=supports target=n_2daaf150dd88\nt=0034 ADD_EDGE edge_id=e_d51da48963a4 source=n_9039f43e9ce2 edge_type=supports target=n_df159a020071\nt=0035 ADD_EDGE edge_id=e_ff0a4ff1b279 source=n_2b58ea5c8427 edge_type=refutes target=n_c79af9100513\nt=0036 ADD_EDGE edge_id=e_59f03ef49705 source=n_4651467760c2 edge_type=refutes target=n_24740e27cd17\nt=0037 ADD_EDGE edge_id=e_f995a9f02276 source=n_5b784fad40ee edge_type=refutes target=n_7ad34a4695e9\nt=0038 ADD_EDGE edge_id=e_ef3b9a63fd3a source=n_e959cd7f1151 edge_type=refutes target=n_5bf1da099dc1\nt=0039 ADD_EDGE edge_id=e_1ddaf4d8741f source=n_9039f43e9ce2 edge_type=refutes target=n_17f0cce8ce39\nt=0040 ADD_EDGE edge_id=e_b7ba23cce6dc source=n_7b47993a1761 edge_type=supports target=n_dd7bc9de1ad0\nt=0041 ADD_EDGE edge_id=e_bd147d46402d source=n_2daaf150dd88 edge_type=supports target=n_a7caf8f00182\nt=0042 ADD_EDGE edge_id=e_195151692758 source=n_4651467760c2 edge_type=supports target=n_7b47993a1761\nt=0043 ADD_EDGE edge_id=e_065fd313ef09 source=n_7ad34a4695e9 edge_type=refutes target=n_e959cd7f1151\nt=0044 ADD_EDGE edge_id=e_a94e57087488 source=n_24740e27cd17 edge_type=supports target=n_951fea9c3540\nt=0045 ADD_EDGE edge_id=e_35f29c77325c source=n_2daaf150dd88 edge_type=refutes target=n_21d4e8d466aa\nt=0046 ADD_EDGE edge_id=e_9fb090a0aa78 source=n_2b58ea5c8427 edge_type=supports target=n_f73b117fe046\nt=0047 QUERY source=n_9039f43e9ce2 target=n_9d6a603804c2\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2255,"provenance":{"base_record_id":"train-d07-008","dataset":"livegraph-deterministic-parity-v3","depth":7,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d07-008","split":"train","variant":"clean"},"record_seed":184309398572421244,"render_sha256":"df9a755e4863524814b3373af77b53f740b6049e2177821f6eb52c86d29976d8","representation":"linear_trace","semantic_sha256":"ba163efd237f440325f687c7814acd4b3799f7f48e63f979e6f38c8d71c561ca"}
{"char_count":4157,"item_id":"train-d07-009::linear_trace","label":"FALSE","lexical_token_proxy_count":712,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_1ff2ae49524c node_type=claim\nt=0001 CREATE_NODE id=n_342d95f3a3c9 node_type=claim\nt=0002 CREATE_NODE id=n_c2882a0c27c0 node_type=claim\nt=0003 CREATE_NODE id=n_154242eda548 node_type=claim\nt=0004 CREATE_NODE id=n_c08f61e42685 node_type=claim\nt=0005 CREATE_NODE id=n_da55b2f755ff node_type=claim\nt=0006 CREATE_NODE id=n_413d7ff8abf3 node_type=claim\nt=0007 CREATE_NODE id=n_3fdd01aeed33 node_type=claim\nt=0008 CREATE_NODE id=n_303d8bf0afc6 node_type=claim\nt=0009 CREATE_NODE id=n_1b0fe4ce8bb0 node_type=claim\nt=0010 CREATE_NODE id=n_32d265b3accd node_type=claim\nt=0011 CREATE_NODE id=n_2acc2e1d900a node_type=claim\nt=0012 CREATE_NODE id=n_29992560a7e5 node_type=claim\nt=0013 CREATE_NODE id=n_10664e644533 node_type=claim\nt=0014 CREATE_NODE id=n_e267bfebf44d node_type=claim\nt=0015 CREATE_NODE id=n_9c57c9d2aeb6 node_type=claim\nt=0016 CREATE_NODE id=n_18afe3007e0c node_type=claim\nt=0017 CREATE_NODE id=n_c88f2e996e82 node_type=claim\nt=0018 CREATE_NODE id=n_1ac9603b17c8 node_type=claim\nt=0019 CREATE_NODE id=n_6de02bd05831 node_type=claim\nt=0020 CREATE_NODE id=n_a81df7aceb72 node_type=claim\nt=0021 CREATE_NODE id=n_e5f093b23f1a node_type=claim\nt=0022 CREATE_NODE id=n_51ee76cef2f8 node_type=claim\nt=0023 CREATE_NODE id=n_f892dee36b30 node_type=claim\nt=0024 ASSERT_ROOT node=n_29992560a7e5 value=TRUE\nt=0025 ADD_EDGE edge_id=e_847eec4ec11b source=n_413d7ff8abf3 edge_type=refutes target=n_342d95f3a3c9\nt=0026 ADD_EDGE edge_id=e_69d5e55d8d95 source=n_c08f61e42685 edge_type=supports target=n_10664e644533\nt=0027 ADD_EDGE edge_id=e_4dde4ee14a58 source=n_154242eda548 edge_type=supports target=n_1b0fe4ce8bb0\nt=0028 ADD_EDGE edge_id=e_567c81cc7480 source=n_c08f61e42685 edge_type=refutes target=n_e267bfebf44d\nt=0029 ADD_EDGE edge_id=e_c427ab29c7ef source=n_3fdd01aeed33 edge_type=supports target=n_2acc2e1d900a\nt=0030 ADD_EDGE edge_id=e_eff5b8770bd8 source=n_c2882a0c27c0 edge_type=supports target=n_413d7ff8abf3\nt=0031 ADD_EDGE edge_id=e_de30eab377c0 source=n_c88f2e996e82 edge_type=supports target=n_303d8bf0afc6\nt=0032 ADD_EDGE edge_id=e_57a1df373718 source=n_1ff2ae49524c edge_type=refutes target=n_32d265b3accd\nt=0033 ADD_EDGE edge_id=e_ea98d42afd41 source=n_c88f2e996e82 edge_type=refutes target=n_154242eda548\nt=0034 ADD_EDGE edge_id=e_c26c0c0f5a16 source=n_32d265b3accd edge_type=refutes target=n_1ac9603b17c8\nt=0035 ADD_EDGE edge_id=e_9b7eece51882 source=n_2acc2e1d900a edge_type=supports target=n_e5f093b23f1a\nt=0036 ADD_EDGE edge_id=e_8b53dd706439 source=n_29992560a7e5 edge_type=supports target=n_a81df7aceb72\nt=0037 ADD_EDGE edge_id=e_a25a1631b161 source=n_c88f2e996e82 edge_type=refutes target=n_da55b2f755ff\nt=0038 ADD_EDGE edge_id=e_628cc1f7064f source=n_1ac9603b17c8 edge_type=refutes target=n_f892dee36b30\nt=0039 ADD_EDGE edge_id=e_afa676bf4db8 source=n_154242eda548 edge_type=refutes target=n_6de02bd05831\nt=0040 ADD_EDGE edge_id=e_390ee60bd4d0 source=n_18afe3007e0c edge_type=supports target=n_c08f61e42685\nt=0041 ADD_EDGE edge_id=e_f5e8a7e8a337 source=n_51ee76cef2f8 edge_type=refutes target=n_c2882a0c27c0\nt=0042 ADD_EDGE edge_id=e_0ca35c7443fc source=n_413d7ff8abf3 edge_type=refutes target=n_9c57c9d2aeb6\nt=0043 ADD_EDGE edge_id=e_1e0f463e1b65 source=n_18afe3007e0c edge_type=supports target=n_51ee76cef2f8\nt=0044 ADD_EDGE edge_id=e_5080d95d4b80 source=n_c2882a0c27c0 edge_type=supports target=n_3fdd01aeed33\nt=0045 ADD_EDGE edge_id=e_fcdae0542c81 source=n_a81df7aceb72 edge_type=supports target=n_c88f2e996e82\nt=0046 ADD_EDGE edge_id=e_954e39bc917b source=n_6de02bd05831 edge_type=refutes target=n_1ff2ae49524c\nt=0047 QUERY source=n_29992560a7e5 target=n_1ac9603b17c8\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2252,"provenance":{"base_record_id":"train-d07-009","dataset":"livegraph-deterministic-parity-v3","depth":7,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d07-009","split":"train","variant":"clean"},"record_seed":1037336879921718758,"render_sha256":"add91f354818278a29840209f1f26b062f50fa2a2c9f65e7cebbead6f3c66f60","representation":"linear_trace","semantic_sha256":"6af0d204462b10ae76e00f4eddab6a90161ddc83ce5a10d2889b7f743342c18f"}
{"char_count":4158,"item_id":"train-d07-010::linear_trace","label":"TRUE","lexical_token_proxy_count":712,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_5f9f29d35410 node_type=claim\nt=0001 CREATE_NODE id=n_04f4cd3bbf8b node_type=claim\nt=0002 CREATE_NODE id=n_3554e17a1211 node_type=claim\nt=0003 CREATE_NODE id=n_b5a2b4cf6bf4 node_type=claim\nt=0004 CREATE_NODE id=n_e0f30883aeec node_type=claim\nt=0005 CREATE_NODE id=n_6586b497bc8b node_type=claim\nt=0006 CREATE_NODE id=n_935c44259e7e node_type=claim\nt=0007 CREATE_NODE id=n_91223f9ad0f7 node_type=claim\nt=0008 CREATE_NODE id=n_80520f624d83 node_type=claim\nt=0009 CREATE_NODE id=n_484794838f26 node_type=claim\nt=0010 CREATE_NODE id=n_291e36919dba node_type=claim\nt=0011 CREATE_NODE id=n_e57afc170b68 node_type=claim\nt=0012 CREATE_NODE id=n_24532a681157 node_type=claim\nt=0013 CREATE_NODE id=n_b4b2a9493759 node_type=claim\nt=0014 CREATE_NODE id=n_f5f4de6dccf3 node_type=claim\nt=0015 CREATE_NODE id=n_c2d8bfc0b8c1 node_type=claim\nt=0016 CREATE_NODE id=n_fd75647e3150 node_type=claim\nt=0017 CREATE_NODE id=n_d30a5e5ffd81 node_type=claim\nt=0018 CREATE_NODE id=n_809beb29f620 node_type=claim\nt=0019 CREATE_NODE id=n_f99df275238d node_type=claim\nt=0020 CREATE_NODE id=n_c2bd811321d5 node_type=claim\nt=0021 CREATE_NODE id=n_d5a253ee2cb1 node_type=claim\nt=0022 CREATE_NODE id=n_fa45597003e9 node_type=claim\nt=0023 CREATE_NODE id=n_e5eb5c9431a2 node_type=claim\nt=0024 ASSERT_ROOT node=n_fa45597003e9 value=FALSE\nt=0025 ADD_EDGE edge_id=e_240093ee0ec9 source=n_fd75647e3150 edge_type=supports target=n_935c44259e7e\nt=0026 ADD_EDGE edge_id=e_546342034142 source=n_291e36919dba edge_type=supports target=n_c2bd811321d5\nt=0027 ADD_EDGE edge_id=e_0d2e0503c501 source=n_291e36919dba edge_type=refutes target=n_fd75647e3150\nt=0028 ADD_EDGE edge_id=e_3ef67e0baad8 source=n_d5a253ee2cb1 edge_type=refutes target=n_5f9f29d35410\nt=0029 ADD_EDGE edge_id=e_813f80206d33 source=n_f99df275238d edge_type=supports target=n_809beb29f620\nt=0030 ADD_EDGE edge_id=e_2d3829201573 source=n_fa45597003e9 edge_type=supports target=n_80520f624d83\nt=0031 ADD_EDGE edge_id=e_809839f9aed6 source=n_e5eb5c9431a2 edge_type=supports target=n_24532a681157\nt=0032 ADD_EDGE edge_id=e_f409ff0d434d source=n_c2d8bfc0b8c1 edge_type=refutes target=n_e0f30883aeec\nt=0033 ADD_EDGE edge_id=e_995a62ebf074 source=n_d30a5e5ffd81 edge_type=refutes target=n_91223f9ad0f7\nt=0034 ADD_EDGE edge_id=e_7dfe37b10380 source=n_24532a681157 edge_type=supports target=n_b4b2a9493759\nt=0035 ADD_EDGE edge_id=e_39df6653c182 source=n_e0f30883aeec edge_type=refutes target=n_3554e17a1211\nt=0036 ADD_EDGE edge_id=e_6daf023baa74 source=n_e57afc170b68 edge_type=supports target=n_484794838f26\nt=0037 ADD_EDGE edge_id=e_6e2a7c975345 source=n_fa45597003e9 edge_type=supports target=n_291e36919dba\nt=0038 ADD_EDGE edge_id=e_e7d15622327c source=n_c2d8bfc0b8c1 edge_type=refutes target=n_e57afc170b68\nt=0039 ADD_EDGE edge_id=e_4032351039a5 source=n_e0f30883aeec edge_type=refutes target=n_04f4cd3bbf8b\nt=0040 ADD_EDGE edge_id=e_ec4f7de0dc5a source=n_484794838f26 edge_type=refutes target=n_f5f4de6dccf3\nt=0041 ADD_EDGE edge_id=e_6026e7fd5c70 source=n_d30a5e5ffd81 edge_type=supports target=n_6586b497bc8b\nt=0042 ADD_EDGE edge_id=e_c880a009ca48 source=n_24532a681157 edge_type=refutes target=n_b5a2b4cf6bf4\nt=0043 ADD_EDGE edge_id=e_5c27c54eb9f1 source=n_e0f30883aeec edge_type=refutes target=n_d30a5e5ffd81\nt=0044 ADD_EDGE edge_id=e_bc5b440cdf19 source=n_935c44259e7e edge_type=supports target=n_e5eb5c9431a2\nt=0045 ADD_EDGE edge_id=e_ab820a94ee31 source=n_c2d8bfc0b8c1 edge_type=refutes target=n_f99df275238d\nt=0046 ADD_EDGE edge_id=e_42274e8f5c84 source=n_b4b2a9493759 edge_type=supports target=n_d5a253ee2cb1\nt=0047 QUERY source=n_fa45597003e9 target=n_d5a253ee2cb1\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2278,"provenance":{"base_record_id":"train-d07-010","dataset":"livegraph-deterministic-parity-v3","depth":7,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d07-010","split":"train","variant":"clean"},"record_seed":591618486628815423,"render_sha256":"54676558884500dcd61c2a2ef5e8178cfafe69c190b4edc53e49494da70ff3db","representation":"linear_trace","semantic_sha256":"6ff92f7939bdf2998db0d4102bf398317900898d1c24444b14157b940e1011c1"}
{"char_count":4158,"item_id":"train-d07-011::linear_trace","label":"FALSE","lexical_token_proxy_count":712,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_58008c6b4580 node_type=claim\nt=0001 CREATE_NODE id=n_161cfd4e3025 node_type=claim\nt=0002 CREATE_NODE id=n_882526d54827 node_type=claim\nt=0003 CREATE_NODE id=n_5f417554e31d node_type=claim\nt=0004 CREATE_NODE id=n_d7e7b8b600dc node_type=claim\nt=0005 CREATE_NODE id=n_efa81c6958e5 node_type=claim\nt=0006 CREATE_NODE id=n_c19cd0c9821d node_type=claim\nt=0007 CREATE_NODE id=n_035b2d8e4d31 node_type=claim\nt=0008 CREATE_NODE id=n_872c22df599e node_type=claim\nt=0009 CREATE_NODE id=n_bae726e3d180 node_type=claim\nt=0010 CREATE_NODE id=n_b8530f840e64 node_type=claim\nt=0011 CREATE_NODE id=n_4f83391bd3ec node_type=claim\nt=0012 CREATE_NODE id=n_737c549c8f50 node_type=claim\nt=0013 CREATE_NODE id=n_a2c550404ba5 node_type=claim\nt=0014 CREATE_NODE id=n_13a0cba50143 node_type=claim\nt=0015 CREATE_NODE id=n_5cf6c4cd07ff node_type=claim\nt=0016 CREATE_NODE id=n_580adbc2c68f node_type=claim\nt=0017 CREATE_NODE id=n_e6dd2b5f52d1 node_type=claim\nt=0018 CREATE_NODE id=n_97a5d897bd1d node_type=claim\nt=0019 CREATE_NODE id=n_871c662cceae node_type=claim\nt=0020 CREATE_NODE id=n_d47ba324dd62 node_type=claim\nt=0021 CREATE_NODE id=n_4f0e2ec683c1 node_type=claim\nt=0022 CREATE_NODE id=n_e072c86206b5 node_type=claim\nt=0023 CREATE_NODE id=n_ef206084ab68 node_type=claim\nt=0024 ASSERT_ROOT node=n_e072c86206b5 value=FALSE\nt=0025 ADD_EDGE edge_id=e_d4125093c0a5 source=n_5f417554e31d edge_type=supports target=n_580adbc2c68f\nt=0026 ADD_EDGE edge_id=e_677ec0a9179d source=n_580adbc2c68f edge_type=supports target=n_161cfd4e3025\nt=0027 ADD_EDGE edge_id=e_de9dd568a1d3 source=n_5cf6c4cd07ff edge_type=supports target=n_4f83391bd3ec\nt=0028 ADD_EDGE edge_id=e_b3f024c806d4 source=n_e6dd2b5f52d1 edge_type=supports target=n_872c22df599e\nt=0029 ADD_EDGE edge_id=e_05de89edbd8a source=n_a2c550404ba5 edge_type=supports target=n_97a5d897bd1d\nt=0030 ADD_EDGE edge_id=e_59d0cdf05c8a source=n_c19cd0c9821d edge_type=refutes target=n_13a0cba50143\nt=0031 ADD_EDGE edge_id=e_d7bc95a311d5 source=n_882526d54827 edge_type=refutes target=n_58008c6b4580\nt=0032 ADD_EDGE edge_id=e_6f9082af6022 source=n_d7e7b8b600dc edge_type=refutes target=n_a2c550404ba5\nt=0033 ADD_EDGE edge_id=e_f2b9f7a0d4cf source=n_580adbc2c68f edge_type=supports target=n_efa81c6958e5\nt=0034 ADD_EDGE edge_id=e_a02dfb239f6d source=n_13a0cba50143 edge_type=refutes target=n_035b2d8e4d31\nt=0035 ADD_EDGE edge_id=e_dedefe774880 source=n_a2c550404ba5 edge_type=supports target=n_5f417554e31d\nt=0036 ADD_EDGE edge_id=e_426aa795cb4f source=n_a2c550404ba5 edge_type=refutes target=n_882526d54827\nt=0037 ADD_EDGE edge_id=e_93f8bf7ad18e source=n_737c549c8f50 edge_type=supports target=n_d47ba324dd62\nt=0038 ADD_EDGE edge_id=e_2b0deff58c89 source=n_c19cd0c9821d edge_type=refutes target=n_b8530f840e64\nt=0039 ADD_EDGE edge_id=e_b9d65730df1b source=n_737c549c8f50 edge_type=refutes target=n_d7e7b8b600dc\nt=0040 ADD_EDGE edge_id=e_831b458e5dcb source=n_5cf6c4cd07ff edge_type=supports target=n_4f0e2ec683c1\nt=0041 ADD_EDGE edge_id=e_df9510f9fc17 source=n_e6dd2b5f52d1 edge_type=refutes target=n_5cf6c4cd07ff\nt=0042 ADD_EDGE edge_id=e_0d0bb624909c source=n_c19cd0c9821d edge_type=supports target=n_871c662cceae\nt=0043 ADD_EDGE edge_id=e_1945135f11ad source=n_97a5d897bd1d edge_type=supports target=n_ef206084ab68\nt=0044 ADD_EDGE edge_id=e_d0ed0073a2d9 source=n_035b2d8e4d31 edge_type=refutes target=n_bae726e3d180\nt=0045 ADD_EDGE edge_id=e_b9342aa47101 source=n_bae726e3d180 edge_type=refutes target=n_e6dd2b5f52d1\nt=0046 ADD_EDGE edge_id=e_dab9cb924a95 source=n_e072c86206b5 edge_type=refutes target=n_c19cd0c9821d\nt=0047 QUERY source=n_e072c86206b5 target=n_4f0e2ec683c1\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2276,"provenance":{"base_record_id":"train-d07-011","dataset":"livegraph-deterministic-parity-v3","depth":7,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d07-011","split":"train","variant":"clean"},"record_seed":262350785679312546,"render_sha256":"71737616cff032d53367a03db8b1185a6c24a816965acf97e0b07ac645922c21","representation":"linear_trace","semantic_sha256":"a27db7662e5a0c7bbb7573cd72259e930847ac6cdea6868f3b2f69a8b3f7aa06"}
{"char_count":4157,"item_id":"train-d07-012::linear_trace","label":"TRUE","lexical_token_proxy_count":712,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_c0785132a9d7 node_type=claim\nt=0001 CREATE_NODE id=n_657ea515497b node_type=claim\nt=0002 CREATE_NODE id=n_af88f08f9a1e node_type=claim\nt=0003 CREATE_NODE id=n_248f585f02d0 node_type=claim\nt=0004 CREATE_NODE id=n_8d230a9f516e node_type=claim\nt=0005 CREATE_NODE id=n_e45ef1905b59 node_type=claim\nt=0006 CREATE_NODE id=n_3070385f0bca node_type=claim\nt=0007 CREATE_NODE id=n_64f7142ba873 node_type=claim\nt=0008 CREATE_NODE id=n_35be2ac642c1 node_type=claim\nt=0009 CREATE_NODE id=n_fe6aa30e77d8 node_type=claim\nt=0010 CREATE_NODE id=n_5bd9a7a2ef18 node_type=claim\nt=0011 CREATE_NODE id=n_72ba9673f71b node_type=claim\nt=0012 CREATE_NODE id=n_165b1936c8d1 node_type=claim\nt=0013 CREATE_NODE id=n_c46e510825bc node_type=claim\nt=0014 CREATE_NODE id=n_8237a6ceec11 node_type=claim\nt=0015 CREATE_NODE id=n_234d14340edc node_type=claim\nt=0016 CREATE_NODE id=n_750e3b3c15ee node_type=claim\nt=0017 CREATE_NODE id=n_7aa36d022492 node_type=claim\nt=0018 CREATE_NODE id=n_b3e85b266aa0 node_type=claim\nt=0019 CREATE_NODE id=n_b97758b1fc2b node_type=claim\nt=0020 CREATE_NODE id=n_d75225f619f2 node_type=claim\nt=0021 CREATE_NODE id=n_034e57eb54a7 node_type=claim\nt=0022 CREATE_NODE id=n_b1913cfc7265 node_type=claim\nt=0023 CREATE_NODE id=n_0994bc8f8ec9 node_type=claim\nt=0024 ASSERT_ROOT node=n_b97758b1fc2b value=TRUE\nt=0025 ADD_EDGE edge_id=e_1d96ece790ec source=n_8237a6ceec11 edge_type=refutes target=n_b3e85b266aa0\nt=0026 ADD_EDGE edge_id=e_bcbbd3cd446e source=n_234d14340edc edge_type=supports target=n_657ea515497b\nt=0027 ADD_EDGE edge_id=e_0045e5f223cd source=n_8d230a9f516e edge_type=supports target=n_35be2ac642c1\nt=0028 ADD_EDGE edge_id=e_be0d1578830f source=n_b3e85b266aa0 edge_type=supports target=n_fe6aa30e77d8\nt=0029 ADD_EDGE edge_id=e_d9ac1bedbbaf source=n_8d230a9f516e edge_type=refutes target=n_af88f08f9a1e\nt=0030 ADD_EDGE edge_id=e_c2196bad1bce source=n_8d230a9f516e edge_type=refutes target=n_3070385f0bca\nt=0031 ADD_EDGE edge_id=e_4c3e93b8b800 source=n_e45ef1905b59 edge_type=supports target=n_b1913cfc7265\nt=0032 ADD_EDGE edge_id=e_026e6765c6c8 source=n_750e3b3c15ee edge_type=refutes target=n_0994bc8f8ec9\nt=0033 ADD_EDGE edge_id=e_7fa3dc42e7a8 source=n_657ea515497b edge_type=supports target=n_72ba9673f71b\nt=0034 ADD_EDGE edge_id=e_3cb340b94e61 source=n_b97758b1fc2b edge_type=refutes target=n_7aa36d022492\nt=0035 ADD_EDGE edge_id=e_495447ecf337 source=n_d75225f619f2 edge_type=supports target=n_750e3b3c15ee\nt=0036 ADD_EDGE edge_id=e_c2d4a4bdfc16 source=n_64f7142ba873 edge_type=supports target=n_5bd9a7a2ef18\nt=0037 ADD_EDGE edge_id=e_06bee0e10ed9 source=n_72ba9673f71b edge_type=refutes target=n_e45ef1905b59\nt=0038 ADD_EDGE edge_id=e_2ccd8dc6cc93 source=n_234d14340edc edge_type=refutes target=n_248f585f02d0\nt=0039 ADD_EDGE edge_id=e_7e13169a22ad source=n_c0785132a9d7 edge_type=refutes target=n_8d230a9f516e\nt=0040 ADD_EDGE edge_id=e_889d44ca49de source=n_5bd9a7a2ef18 edge_type=refutes target=n_165b1936c8d1\nt=0041 ADD_EDGE edge_id=e_4b4cc991fdca source=n_b97758b1fc2b edge_type=supports target=n_234d14340edc\nt=0042 ADD_EDGE edge_id=e_edbafe6538c6 source=n_234d14340edc edge_type=supports target=n_034e57eb54a7\nt=0043 ADD_EDGE edge_id=e_e499db0a418e source=n_3070385f0bca edge_type=refutes target=n_c46e510825bc\nt=0044 ADD_EDGE edge_id=e_3bb767e417ce source=n_8d230a9f516e edge_type=supports target=n_64f7142ba873\nt=0045 ADD_EDGE edge_id=e_3ead38f528bc source=n_c0785132a9d7 edge_type=supports target=n_8237a6ceec11\nt=0046 ADD_EDGE edge_id=e_82658789e07c source=n_b1913cfc7265 edge_type=refutes target=n_d75225f619f2\nt=0047 QUERY source=n_b97758b1fc2b target=n_750e3b3c15ee\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2275,"provenance":{"base_record_id":"train-d07-012","dataset":"livegraph-deterministic-parity-v3","depth":7,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d07-012","split":"train","variant":"clean"},"record_seed":916523174030465836,"render_sha256":"858244c7c0595ac24ecb54a9359eafb21f3828524163c1679d904d0e18d0ca63","representation":"linear_trace","semantic_sha256":"a9be33522138ed52ee1f7837d431ca016dd10d298b0dce7852bbc53add7a6dff"}
{"char_count":4157,"item_id":"train-d07-013::linear_trace","label":"FALSE","lexical_token_proxy_count":712,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_7fc7b0053b00 node_type=claim\nt=0001 CREATE_NODE id=n_e4c8101e3851 node_type=claim\nt=0002 CREATE_NODE id=n_671fe4dde404 node_type=claim\nt=0003 CREATE_NODE id=n_c483798e15a4 node_type=claim\nt=0004 CREATE_NODE id=n_34e0d4d6e629 node_type=claim\nt=0005 CREATE_NODE id=n_2c51a0a6dd53 node_type=claim\nt=0006 CREATE_NODE id=n_b0c10db360d9 node_type=claim\nt=0007 CREATE_NODE id=n_994d3f1192a9 node_type=claim\nt=0008 CREATE_NODE id=n_07585838378b node_type=claim\nt=0009 CREATE_NODE id=n_fbcdfee2997d node_type=claim\nt=0010 CREATE_NODE id=n_ae543ba244b2 node_type=claim\nt=0011 CREATE_NODE id=n_4e0e478999d7 node_type=claim\nt=0012 CREATE_NODE id=n_a6c2eb5f819a node_type=claim\nt=0013 CREATE_NODE id=n_eb62593270f1 node_type=claim\nt=0014 CREATE_NODE id=n_34b084ae9b0f node_type=claim\nt=0015 CREATE_NODE id=n_bff922cb64f6 node_type=claim\nt=0016 CREATE_NODE id=n_b7f9737d9b61 node_type=claim\nt=0017 CREATE_NODE id=n_6d315c220038 node_type=claim\nt=0018 CREATE_NODE id=n_125f98f7d74f node_type=claim\nt=0019 CREATE_NODE id=n_150c0bf99652 node_type=claim\nt=0020 CREATE_NODE id=n_0046ab078230 node_type=claim\nt=0021 CREATE_NODE id=n_16e9ae6851cf node_type=claim\nt=0022 CREATE_NODE id=n_ef90fc7f0f4d node_type=claim\nt=0023 CREATE_NODE id=n_0206883d381d node_type=claim\nt=0024 ASSERT_ROOT node=n_994d3f1192a9 value=TRUE\nt=0025 ADD_EDGE edge_id=e_a8d830263d1d source=n_07585838378b edge_type=refutes target=n_16e9ae6851cf\nt=0026 ADD_EDGE edge_id=e_d96d45b89e07 source=n_994d3f1192a9 edge_type=supports target=n_7fc7b0053b00\nt=0027 ADD_EDGE edge_id=e_b36b23038919 source=n_125f98f7d74f edge_type=supports target=n_fbcdfee2997d\nt=0028 ADD_EDGE edge_id=e_c2ca06464f79 source=n_16e9ae6851cf edge_type=refutes target=n_bff922cb64f6\nt=0029 ADD_EDGE edge_id=e_fbf1b0f39533 source=n_6d315c220038 edge_type=refutes target=n_c483798e15a4\nt=0030 ADD_EDGE edge_id=e_a2802592d74d source=n_994d3f1192a9 edge_type=refutes target=n_b0c10db360d9\nt=0031 ADD_EDGE edge_id=e_616f36aa5f1f source=n_bff922cb64f6 edge_type=supports target=n_e4c8101e3851\nt=0032 ADD_EDGE edge_id=e_87d9cb50756c source=n_b7f9737d9b61 edge_type=supports target=n_eb62593270f1\nt=0033 ADD_EDGE edge_id=e_bb9050602932 source=n_2c51a0a6dd53 edge_type=supports target=n_4e0e478999d7\nt=0034 ADD_EDGE edge_id=e_a02ff1ff5bee source=n_150c0bf99652 edge_type=supports target=n_07585838378b\nt=0035 ADD_EDGE edge_id=e_6a44e606091f source=n_34e0d4d6e629 edge_type=supports target=n_125f98f7d74f\nt=0036 ADD_EDGE edge_id=e_513c135a7dc1 source=n_b7f9737d9b61 edge_type=supports target=n_34e0d4d6e629\nt=0037 ADD_EDGE edge_id=e_a39df4ff886c source=n_150c0bf99652 edge_type=refutes target=n_0206883d381d\nt=0038 ADD_EDGE edge_id=e_02655fff1cb9 source=n_6d315c220038 edge_type=refutes target=n_0046ab078230\nt=0039 ADD_EDGE edge_id=e_832935eba85c source=n_0046ab078230 edge_type=refutes target=n_a6c2eb5f819a\nt=0040 ADD_EDGE edge_id=e_1600242ddb28 source=n_e4c8101e3851 edge_type=supports target=n_2c51a0a6dd53\nt=0041 ADD_EDGE edge_id=e_ff18d9780e70 source=n_b7f9737d9b61 edge_type=refutes target=n_6d315c220038\nt=0042 ADD_EDGE edge_id=e_16c552d9f869 source=n_34e0d4d6e629 edge_type=refutes target=n_ef90fc7f0f4d\nt=0043 ADD_EDGE edge_id=e_c8e979baa4e5 source=n_34e0d4d6e629 edge_type=supports target=n_ae543ba244b2\nt=0044 ADD_EDGE edge_id=e_d25c4ccc0a94 source=n_7fc7b0053b00 edge_type=refutes target=n_150c0bf99652\nt=0045 ADD_EDGE edge_id=e_754880d0d23f source=n_e4c8101e3851 edge_type=supports target=n_671fe4dde404\nt=0046 ADD_EDGE edge_id=e_77447eb4b1ea source=n_0046ab078230 edge_type=refutes target=n_34b084ae9b0f\nt=0047 QUERY source=n_994d3f1192a9 target=n_2c51a0a6dd53\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2300,"provenance":{"base_record_id":"train-d07-013","dataset":"livegraph-deterministic-parity-v3","depth":7,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d07-013","split":"train","variant":"clean"},"record_seed":577472126632037514,"render_sha256":"3a3d037e8da441109d0447ab713eed7e633cce80debc345444594b3109de89dd","representation":"linear_trace","semantic_sha256":"ad710c1e41a21fed0bf4ba9763faafb04cb6c1f71342abaac373be159b3ad544"}
{"char_count":4158,"item_id":"train-d07-014::linear_trace","label":"TRUE","lexical_token_proxy_count":712,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_74c619dda13a node_type=claim\nt=0001 CREATE_NODE id=n_0a4c85f3f7a9 node_type=claim\nt=0002 CREATE_NODE id=n_990371427363 node_type=claim\nt=0003 CREATE_NODE id=n_8bf8b6ce8a23 node_type=claim\nt=0004 CREATE_NODE id=n_b7c5721df5f9 node_type=claim\nt=0005 CREATE_NODE id=n_d6187d881178 node_type=claim\nt=0006 CREATE_NODE id=n_8b6d7624c2a7 node_type=claim\nt=0007 CREATE_NODE id=n_3951596cf326 node_type=claim\nt=0008 CREATE_NODE id=n_e6c0fc4ab63d node_type=claim\nt=0009 CREATE_NODE id=n_b32b91ef82bb node_type=claim\nt=0010 CREATE_NODE id=n_bd9ff39fbb00 node_type=claim\nt=0011 CREATE_NODE id=n_ce44dd8b91e4 node_type=claim\nt=0012 CREATE_NODE id=n_3beebb963eb8 node_type=claim\nt=0013 CREATE_NODE id=n_26ed7abe05a9 node_type=claim\nt=0014 CREATE_NODE id=n_ffbe249911ce node_type=claim\nt=0015 CREATE_NODE id=n_8186b9d978ff node_type=claim\nt=0016 CREATE_NODE id=n_e785d7d14ecb node_type=claim\nt=0017 CREATE_NODE id=n_d5fbf5d406e8 node_type=claim\nt=0018 CREATE_NODE id=n_95697bddbcdc node_type=claim\nt=0019 CREATE_NODE id=n_dfbc4ef49d1b node_type=claim\nt=0020 CREATE_NODE id=n_8b3467661c6a node_type=claim\nt=0021 CREATE_NODE id=n_e3e8af89a9aa node_type=claim\nt=0022 CREATE_NODE id=n_dc9025f5e1fb node_type=claim\nt=0023 CREATE_NODE id=n_dcbc8bc31638 node_type=claim\nt=0024 ASSERT_ROOT node=n_ce44dd8b91e4 value=FALSE\nt=0025 ADD_EDGE edge_id=e_f772a5c3c356 source=n_dcbc8bc31638 edge_type=refutes target=n_d6187d881178\nt=0026 ADD_EDGE edge_id=e_3c5ca268bf13 source=n_d5fbf5d406e8 edge_type=refutes target=n_dfbc4ef49d1b\nt=0027 ADD_EDGE edge_id=e_3c4ec50120c7 source=n_3beebb963eb8 edge_type=supports target=n_990371427363\nt=0028 ADD_EDGE edge_id=e_ec4315a4a425 source=n_ffbe249911ce edge_type=supports target=n_3beebb963eb8\nt=0029 ADD_EDGE edge_id=e_34b40d084d73 source=n_d5fbf5d406e8 edge_type=supports target=n_e6c0fc4ab63d\nt=0030 ADD_EDGE edge_id=e_f57f0d89d36a source=n_dc9025f5e1fb edge_type=refutes target=n_26ed7abe05a9\nt=0031 ADD_EDGE edge_id=e_be69b2c11fec source=n_dcbc8bc31638 edge_type=refutes target=n_8b6d7624c2a7\nt=0032 ADD_EDGE edge_id=e_0693c4a44141 source=n_95697bddbcdc edge_type=refutes target=n_ffbe249911ce\nt=0033 ADD_EDGE edge_id=e_46baa4b726f7 source=n_e3e8af89a9aa edge_type=supports target=n_b7c5721df5f9\nt=0034 ADD_EDGE edge_id=e_b7db666842ce source=n_ce44dd8b91e4 edge_type=supports target=n_8b3467661c6a\nt=0035 ADD_EDGE edge_id=e_7498afb14a43 source=n_e785d7d14ecb edge_type=supports target=n_8186b9d978ff\nt=0036 ADD_EDGE edge_id=e_4a0a95861c58 source=n_d5fbf5d406e8 edge_type=refutes target=n_74c619dda13a\nt=0037 ADD_EDGE edge_id=e_9c25b190e056 source=n_8bf8b6ce8a23 edge_type=refutes target=n_bd9ff39fbb00\nt=0038 ADD_EDGE edge_id=e_f01117cc950b source=n_d5fbf5d406e8 edge_type=supports target=n_e3e8af89a9aa\nt=0039 ADD_EDGE edge_id=e_5225ddf47b85 source=n_3beebb963eb8 edge_type=supports target=n_b32b91ef82bb\nt=0040 ADD_EDGE edge_id=e_8452ea7d114c source=n_990371427363 edge_type=refutes target=n_e785d7d14ecb\nt=0041 ADD_EDGE edge_id=e_93d9a2b40efc source=n_8186b9d978ff edge_type=refutes target=n_3951596cf326\nt=0042 ADD_EDGE edge_id=e_83f3a41fa6ea source=n_d5fbf5d406e8 edge_type=refutes target=n_0a4c85f3f7a9\nt=0043 ADD_EDGE edge_id=e_dbbe4179dcf8 source=n_8186b9d978ff edge_type=supports target=n_dc9025f5e1fb\nt=0044 ADD_EDGE edge_id=e_61ee2821a75a source=n_bd9ff39fbb00 edge_type=supports target=n_dcbc8bc31638\nt=0045 ADD_EDGE edge_id=e_8c1602329a90 source=n_ce44dd8b91e4 edge_type=refutes target=n_95697bddbcdc\nt=0046 ADD_EDGE edge_id=e_ee67fea5740a source=n_74c619dda13a edge_type=supports target=n_8bf8b6ce8a23\nt=0047 QUERY source=n_ce44dd8b91e4 target=n_dc9025f5e1fb\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2230,"provenance":{"base_record_id":"train-d07-014","dataset":"livegraph-deterministic-parity-v3","depth":7,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d07-014","split":"train","variant":"clean"},"record_seed":662450694810361478,"render_sha256":"b6de39e6fb1464fc2d07ce3cf6fc2a47a6eee0c6f06c59873eebccdc5cbd0fb7","representation":"linear_trace","semantic_sha256":"fa85d0c21a0ea7af133c65679e2d0aceefe6b4fcdd88d7a4fcc4aafa5ff1d9c8"}
{"char_count":4158,"item_id":"train-d07-015::linear_trace","label":"FALSE","lexical_token_proxy_count":712,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_8b4df1852da9 node_type=claim\nt=0001 CREATE_NODE id=n_92a9dbb28e1b node_type=claim\nt=0002 CREATE_NODE id=n_2650e4c34082 node_type=claim\nt=0003 CREATE_NODE id=n_ecdff5ac1968 node_type=claim\nt=0004 CREATE_NODE id=n_5ffc3c1f6574 node_type=claim\nt=0005 CREATE_NODE id=n_c93a7ff74943 node_type=claim\nt=0006 CREATE_NODE id=n_d7c73e9f5f90 node_type=claim\nt=0007 CREATE_NODE id=n_f4697ed23e2e node_type=claim\nt=0008 CREATE_NODE id=n_d44d0a5100b5 node_type=claim\nt=0009 CREATE_NODE id=n_895d9ff0b808 node_type=claim\nt=0010 CREATE_NODE id=n_a2bfa7aa17e0 node_type=claim\nt=0011 CREATE_NODE id=n_b2c81ee0858a node_type=claim\nt=0012 CREATE_NODE id=n_753d2e00bb5f node_type=claim\nt=0013 CREATE_NODE id=n_e0a4cab7b58a node_type=claim\nt=0014 CREATE_NODE id=n_71b3fc8d620d node_type=claim\nt=0015 CREATE_NODE id=n_03949ddb9184 node_type=claim\nt=0016 CREATE_NODE id=n_cb39862f44fc node_type=claim\nt=0017 CREATE_NODE id=n_fcdb748a6286 node_type=claim\nt=0018 CREATE_NODE id=n_c25d5fbd52e9 node_type=claim\nt=0019 CREATE_NODE id=n_3bfec39ca63e node_type=claim\nt=0020 CREATE_NODE id=n_91596ccd7c70 node_type=claim\nt=0021 CREATE_NODE id=n_a2347092edfc node_type=claim\nt=0022 CREATE_NODE id=n_db79daf17db0 node_type=claim\nt=0023 CREATE_NODE id=n_84499b2c10f2 node_type=claim\nt=0024 ASSERT_ROOT node=n_fcdb748a6286 value=FALSE\nt=0025 ADD_EDGE edge_id=e_46bd26010e45 source=n_d7c73e9f5f90 edge_type=supports target=n_92a9dbb28e1b\nt=0026 ADD_EDGE edge_id=e_b88a7d54ebaa source=n_b2c81ee0858a edge_type=refutes target=n_895d9ff0b808\nt=0027 ADD_EDGE edge_id=e_1b787955387f source=n_5ffc3c1f6574 edge_type=refutes target=n_c25d5fbd52e9\nt=0028 ADD_EDGE edge_id=e_bdd27f3e05f7 source=n_b2c81ee0858a edge_type=supports target=n_5ffc3c1f6574\nt=0029 ADD_EDGE edge_id=e_7575e6c78117 source=n_91596ccd7c70 edge_type=supports target=n_03949ddb9184\nt=0030 ADD_EDGE edge_id=e_ed8067365643 source=n_895d9ff0b808 edge_type=refutes target=n_c93a7ff74943\nt=0031 ADD_EDGE edge_id=e_90f8e0b8fa9e source=n_ecdff5ac1968 edge_type=supports target=n_d7c73e9f5f90\nt=0032 ADD_EDGE edge_id=e_b7a82bdffde1 source=n_753d2e00bb5f edge_type=refutes target=n_d44d0a5100b5\nt=0033 ADD_EDGE edge_id=e_9c353b9d332e source=n_d7c73e9f5f90 edge_type=refutes target=n_753d2e00bb5f\nt=0034 ADD_EDGE edge_id=e_5176aab35c48 source=n_2650e4c34082 edge_type=refutes target=n_cb39862f44fc\nt=0035 ADD_EDGE edge_id=e_cd4eedba7c61 source=n_d7c73e9f5f90 edge_type=supports target=n_84499b2c10f2\nt=0036 ADD_EDGE edge_id=e_4ce29285b433 source=n_e0a4cab7b58a edge_type=refutes target=n_ecdff5ac1968\nt=0037 ADD_EDGE edge_id=e_09cfe40cb82b source=n_5ffc3c1f6574 edge_type=supports target=n_a2bfa7aa17e0\nt=0038 ADD_EDGE edge_id=e_252d5a3b181a source=n_c93a7ff74943 edge_type=refutes target=n_f4697ed23e2e\nt=0039 ADD_EDGE edge_id=e_7134a3c935e8 source=n_ecdff5ac1968 edge_type=supports target=n_3bfec39ca63e\nt=0040 ADD_EDGE edge_id=e_d9f6e241519e source=n_91596ccd7c70 edge_type=supports target=n_a2347092edfc\nt=0041 ADD_EDGE edge_id=e_3e9c63fc4536 source=n_8b4df1852da9 edge_type=supports target=n_b2c81ee0858a\nt=0042 ADD_EDGE edge_id=e_6cd0b49fa859 source=n_fcdb748a6286 edge_type=refutes target=n_2650e4c34082\nt=0043 ADD_EDGE edge_id=e_90936089fdad source=n_c93a7ff74943 edge_type=supports target=n_91596ccd7c70\nt=0044 ADD_EDGE edge_id=e_f5c030c0442c source=n_cb39862f44fc edge_type=refutes target=n_e0a4cab7b58a\nt=0045 ADD_EDGE edge_id=e_14162e056839 source=n_895d9ff0b808 edge_type=supports target=n_db79daf17db0\nt=0046 ADD_EDGE edge_id=e_20cc850a8224 source=n_fcdb748a6286 edge_type=refutes target=n_71b3fc8d620d\nt=0047 QUERY source=n_fcdb748a6286 target=n_d44d0a5100b5\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2264,"provenance":{"base_record_id":"train-d07-015","dataset":"livegraph-deterministic-parity-v3","depth":7,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d07-015","split":"train","variant":"clean"},"record_seed":395469960538685304,"render_sha256":"f456f36977de41c6d8ac8d0de2c79d83aee0a156d8c8c877f65bf2311a37f49e","representation":"linear_trace","semantic_sha256":"003a10eff0e7284bca0a362fce6f5c92eae8a62343f5cbbde2033af554e55986"}
{"char_count":4157,"item_id":"train-d07-016::linear_trace","label":"TRUE","lexical_token_proxy_count":712,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_696de4a949c4 node_type=claim\nt=0001 CREATE_NODE id=n_f80c9253397e node_type=claim\nt=0002 CREATE_NODE id=n_e899b8c29355 node_type=claim\nt=0003 CREATE_NODE id=n_67a66a503660 node_type=claim\nt=0004 CREATE_NODE id=n_f457d15aff31 node_type=claim\nt=0005 CREATE_NODE id=n_b5175532ba33 node_type=claim\nt=0006 CREATE_NODE id=n_ed00d820e1e8 node_type=claim\nt=0007 CREATE_NODE id=n_f4bb9fb5b694 node_type=claim\nt=0008 CREATE_NODE id=n_329787375765 node_type=claim\nt=0009 CREATE_NODE id=n_cb8a2ff7ba39 node_type=claim\nt=0010 CREATE_NODE id=n_5ce04c0c24a3 node_type=claim\nt=0011 CREATE_NODE id=n_88613fa48f9a node_type=claim\nt=0012 CREATE_NODE id=n_9cafd6428507 node_type=claim\nt=0013 CREATE_NODE id=n_e086c2772963 node_type=claim\nt=0014 CREATE_NODE id=n_448966ac56c5 node_type=claim\nt=0015 CREATE_NODE id=n_9a6e6dfb3af4 node_type=claim\nt=0016 CREATE_NODE id=n_66b1132ab7b0 node_type=claim\nt=0017 CREATE_NODE id=n_e6a5a312d4c2 node_type=claim\nt=0018 CREATE_NODE id=n_2b2140ebfc06 node_type=claim\nt=0019 CREATE_NODE id=n_4c7a1a998923 node_type=claim\nt=0020 CREATE_NODE id=n_e00154fcf194 node_type=claim\nt=0021 CREATE_NODE id=n_732a6593cff4 node_type=claim\nt=0022 CREATE_NODE id=n_6ebc3acdfc76 node_type=claim\nt=0023 CREATE_NODE id=n_3f42dc37b2b9 node_type=claim\nt=0024 ASSERT_ROOT node=n_f80c9253397e value=TRUE\nt=0025 ADD_EDGE edge_id=e_83961d368a9a source=n_f80c9253397e edge_type=supports target=n_448966ac56c5\nt=0026 ADD_EDGE edge_id=e_cf4def03f7cb source=n_f4bb9fb5b694 edge_type=supports target=n_696de4a949c4\nt=0027 ADD_EDGE edge_id=e_dc702d11e095 source=n_9cafd6428507 edge_type=supports target=n_e00154fcf194\nt=0028 ADD_EDGE edge_id=e_cce5a5c92b7b source=n_e00154fcf194 edge_type=supports target=n_6ebc3acdfc76\nt=0029 ADD_EDGE edge_id=e_762408c581a8 source=n_e6a5a312d4c2 edge_type=supports target=n_ed00d820e1e8\nt=0030 ADD_EDGE edge_id=e_5530066dce86 source=n_f457d15aff31 edge_type=refutes target=n_3f42dc37b2b9\nt=0031 ADD_EDGE edge_id=e_01cfaba5a35d source=n_b5175532ba33 edge_type=refutes target=n_88613fa48f9a\nt=0032 ADD_EDGE edge_id=e_d1d850a075c3 source=n_2b2140ebfc06 edge_type=refutes target=n_9a6e6dfb3af4\nt=0033 ADD_EDGE edge_id=e_eb21df4ca7ca source=n_f457d15aff31 edge_type=supports target=n_cb8a2ff7ba39\nt=0034 ADD_EDGE edge_id=e_a37fcad0554f source=n_448966ac56c5 edge_type=supports target=n_5ce04c0c24a3\nt=0035 ADD_EDGE edge_id=e_9b68b3dcedea source=n_6ebc3acdfc76 edge_type=refutes target=n_67a66a503660\nt=0036 ADD_EDGE edge_id=e_9f893d45138f source=n_e6a5a312d4c2 edge_type=refutes target=n_f4bb9fb5b694\nt=0037 ADD_EDGE edge_id=e_58728e847819 source=n_e6a5a312d4c2 edge_type=supports target=n_f457d15aff31\nt=0038 ADD_EDGE edge_id=e_a40b695fe607 source=n_3f42dc37b2b9 edge_type=supports target=n_66b1132ab7b0\nt=0039 ADD_EDGE edge_id=e_04b436a7ed15 source=n_88613fa48f9a edge_type=supports target=n_9cafd6428507\nt=0040 ADD_EDGE edge_id=e_4a0467f2d1f8 source=n_f457d15aff31 edge_type=supports target=n_329787375765\nt=0041 ADD_EDGE edge_id=e_8f44d7a2b9e0 source=n_5ce04c0c24a3 edge_type=refutes target=n_b5175532ba33\nt=0042 ADD_EDGE edge_id=e_c5314a98f9b3 source=n_e00154fcf194 edge_type=refutes target=n_e086c2772963\nt=0043 ADD_EDGE edge_id=e_268bac345220 source=n_448966ac56c5 edge_type=refutes target=n_4c7a1a998923\nt=0044 ADD_EDGE edge_id=e_43c656ec5abc source=n_2b2140ebfc06 edge_type=refutes target=n_e6a5a312d4c2\nt=0045 ADD_EDGE edge_id=e_f177e114f1b3 source=n_696de4a949c4 edge_type=refutes target=n_e899b8c29355\nt=0046 ADD_EDGE edge_id=e_54d5cb5397b7 source=n_88613fa48f9a edge_type=refutes target=n_732a6593cff4\nt=0047 QUERY source=n_f80c9253397e target=n_6ebc3acdfc76\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2278,"provenance":{"base_record_id":"train-d07-016","dataset":"livegraph-deterministic-parity-v3","depth":7,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d07-016","split":"train","variant":"clean"},"record_seed":253081849559975603,"render_sha256":"49c4468c54d65610292a30a00106f901c1cebf20c4fa6df452a263b2d5a147c0","representation":"linear_trace","semantic_sha256":"585f3938536be41728e50b754ea1a79c1a7b4ff5140650b815fd1cd87d5c2d0d"}
{"char_count":4157,"item_id":"train-d07-017::linear_trace","label":"FALSE","lexical_token_proxy_count":712,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_d1a8e0127d97 node_type=claim\nt=0001 CREATE_NODE id=n_e956d29dbe98 node_type=claim\nt=0002 CREATE_NODE id=n_390e4e515d55 node_type=claim\nt=0003 CREATE_NODE id=n_6c531a6dad9b node_type=claim\nt=0004 CREATE_NODE id=n_4348251cadb6 node_type=claim\nt=0005 CREATE_NODE id=n_ce3bbf72f715 node_type=claim\nt=0006 CREATE_NODE id=n_a6771f2b4774 node_type=claim\nt=0007 CREATE_NODE id=n_2f191ccfa698 node_type=claim\nt=0008 CREATE_NODE id=n_3ebeafc6c488 node_type=claim\nt=0009 CREATE_NODE id=n_0f433e6ef1fb node_type=claim\nt=0010 CREATE_NODE id=n_4d611d37e0b4 node_type=claim\nt=0011 CREATE_NODE id=n_375146bad27d node_type=claim\nt=0012 CREATE_NODE id=n_a51bfdc54d5f node_type=claim\nt=0013 CREATE_NODE id=n_2a894a88b5ab node_type=claim\nt=0014 CREATE_NODE id=n_68d9ccef43aa node_type=claim\nt=0015 CREATE_NODE id=n_11dfd1635936 node_type=claim\nt=0016 CREATE_NODE id=n_a85d66aff642 node_type=claim\nt=0017 CREATE_NODE id=n_46ef61ed04af node_type=claim\nt=0018 CREATE_NODE id=n_270610418f82 node_type=claim\nt=0019 CREATE_NODE id=n_a3a4ef3ebc19 node_type=claim\nt=0020 CREATE_NODE id=n_05abdade69a8 node_type=claim\nt=0021 CREATE_NODE id=n_db984e826bc0 node_type=claim\nt=0022 CREATE_NODE id=n_7b31c97ee64e node_type=claim\nt=0023 CREATE_NODE id=n_81a5bc600d7c node_type=claim\nt=0024 ASSERT_ROOT node=n_46ef61ed04af value=TRUE\nt=0025 ADD_EDGE edge_id=e_6568da541b0e source=n_a6771f2b4774 edge_type=supports target=n_4d611d37e0b4\nt=0026 ADD_EDGE edge_id=e_706948631982 source=n_375146bad27d edge_type=supports target=n_270610418f82\nt=0027 ADD_EDGE edge_id=e_e09ae6335de6 source=n_375146bad27d edge_type=supports target=n_db984e826bc0\nt=0028 ADD_EDGE edge_id=e_3f1c94505b16 source=n_46ef61ed04af edge_type=refutes target=n_6c531a6dad9b\nt=0029 ADD_EDGE edge_id=e_d9a05c7e3b02 source=n_a51bfdc54d5f edge_type=supports target=n_375146bad27d\nt=0030 ADD_EDGE edge_id=e_18bd1c8636fa source=n_a51bfdc54d5f edge_type=refutes target=n_0f433e6ef1fb\nt=0031 ADD_EDGE edge_id=e_133201420056 source=n_4348251cadb6 edge_type=supports target=n_2a894a88b5ab\nt=0032 ADD_EDGE edge_id=e_d98ffe24c479 source=n_390e4e515d55 edge_type=supports target=n_4348251cadb6\nt=0033 ADD_EDGE edge_id=e_d5c749d281a6 source=n_6c531a6dad9b edge_type=refutes target=n_2f191ccfa698\nt=0034 ADD_EDGE edge_id=e_fdf5875df244 source=n_a51bfdc54d5f edge_type=refutes target=n_7b31c97ee64e\nt=0035 ADD_EDGE edge_id=e_1137c562a811 source=n_a85d66aff642 edge_type=supports target=n_a6771f2b4774\nt=0036 ADD_EDGE edge_id=e_6167ce2c9b79 source=n_a51bfdc54d5f edge_type=supports target=n_68d9ccef43aa\nt=0037 ADD_EDGE edge_id=e_0775e4e5574f source=n_81a5bc600d7c edge_type=refutes target=n_390e4e515d55\nt=0038 ADD_EDGE edge_id=e_af67452ebed8 source=n_a85d66aff642 edge_type=supports target=n_e956d29dbe98\nt=0039 ADD_EDGE edge_id=e_2d56ee95e3ef source=n_0f433e6ef1fb edge_type=supports target=n_11dfd1635936\nt=0040 ADD_EDGE edge_id=e_93f15b514ec7 source=n_ce3bbf72f715 edge_type=refutes target=n_d1a8e0127d97\nt=0041 ADD_EDGE edge_id=e_581348c7f633 source=n_4348251cadb6 edge_type=supports target=n_a85d66aff642\nt=0042 ADD_EDGE edge_id=e_9c6f7ca5eb4f source=n_68d9ccef43aa edge_type=refutes target=n_3ebeafc6c488\nt=0043 ADD_EDGE edge_id=e_5fd57ceda62c source=n_a51bfdc54d5f edge_type=refutes target=n_ce3bbf72f715\nt=0044 ADD_EDGE edge_id=e_05ff797fbedb source=n_4348251cadb6 edge_type=refutes target=n_05abdade69a8\nt=0045 ADD_EDGE edge_id=e_7b4725737629 source=n_d1a8e0127d97 edge_type=refutes target=n_a3a4ef3ebc19\nt=0046 ADD_EDGE edge_id=e_7a34e627ed58 source=n_6c531a6dad9b edge_type=refutes target=n_81a5bc600d7c\nt=0047 QUERY source=n_46ef61ed04af target=n_4d611d37e0b4\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2244,"provenance":{"base_record_id":"train-d07-017","dataset":"livegraph-deterministic-parity-v3","depth":7,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d07-017","split":"train","variant":"clean"},"record_seed":509263468523518918,"render_sha256":"ae7a82a7cb12f3a0fbb7228cc64628f9d1f7e180fe29b0db06304d03fb1c1d1f","representation":"linear_trace","semantic_sha256":"3878d0685ac078bf2088f963123839da14443f4ca94c0f23f94e41f5d02bdf87"}
{"char_count":4158,"item_id":"train-d07-018::linear_trace","label":"TRUE","lexical_token_proxy_count":712,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_722bf7e8b491 node_type=claim\nt=0001 CREATE_NODE id=n_bab365f3b75e node_type=claim\nt=0002 CREATE_NODE id=n_37af060344cf node_type=claim\nt=0003 CREATE_NODE id=n_932fde33650e node_type=claim\nt=0004 CREATE_NODE id=n_2526f22b314c node_type=claim\nt=0005 CREATE_NODE id=n_4b1ff6c3537b node_type=claim\nt=0006 CREATE_NODE id=n_c372ef72c58a node_type=claim\nt=0007 CREATE_NODE id=n_ae30a1a02664 node_type=claim\nt=0008 CREATE_NODE id=n_73f76fd6fe38 node_type=claim\nt=0009 CREATE_NODE id=n_d324e05916b0 node_type=claim\nt=0010 CREATE_NODE id=n_09fd3dd69180 node_type=claim\nt=0011 CREATE_NODE id=n_d27c77712b36 node_type=claim\nt=0012 CREATE_NODE id=n_4af61ef91b2a node_type=claim\nt=0013 CREATE_NODE id=n_734299286242 node_type=claim\nt=0014 CREATE_NODE id=n_1760d762b90a node_type=claim\nt=0015 CREATE_NODE id=n_6105845d9507 node_type=claim\nt=0016 CREATE_NODE id=n_6b17c1402120 node_type=claim\nt=0017 CREATE_NODE id=n_0b346393e196 node_type=claim\nt=0018 CREATE_NODE id=n_16d89e6302a9 node_type=claim\nt=0019 CREATE_NODE id=n_a70c28175ce1 node_type=claim\nt=0020 CREATE_NODE id=n_fafc48e195f2 node_type=claim\nt=0021 CREATE_NODE id=n_ae6d2aab8057 node_type=claim\nt=0022 CREATE_NODE id=n_c68483613d15 node_type=claim\nt=0023 CREATE_NODE id=n_e7c45185f431 node_type=claim\nt=0024 ASSERT_ROOT node=n_fafc48e195f2 value=FALSE\nt=0025 ADD_EDGE edge_id=e_7dfe57131b41 source=n_2526f22b314c edge_type=refutes target=n_1760d762b90a\nt=0026 ADD_EDGE edge_id=e_38ee6ad691f7 source=n_2526f22b314c edge_type=refutes target=n_6105845d9507\nt=0027 ADD_EDGE edge_id=e_cc359c2cef4e source=n_ae6d2aab8057 edge_type=refutes target=n_37af060344cf\nt=0028 ADD_EDGE edge_id=e_8cf982876d82 source=n_d27c77712b36 edge_type=supports target=n_4b1ff6c3537b\nt=0029 ADD_EDGE edge_id=e_26f28bcc67b2 source=n_4b1ff6c3537b edge_type=supports target=n_932fde33650e\nt=0030 ADD_EDGE edge_id=e_c6af234034d8 source=n_ae30a1a02664 edge_type=supports target=n_16d89e6302a9\nt=0031 ADD_EDGE edge_id=e_fce1fa2da3fe source=n_932fde33650e edge_type=refutes target=n_ae6d2aab8057\nt=0032 ADD_EDGE edge_id=e_f910041d7226 source=n_ae6d2aab8057 edge_type=supports target=n_6b17c1402120\nt=0033 ADD_EDGE edge_id=e_01b2f6cf1b4d source=n_fafc48e195f2 edge_type=supports target=n_0b346393e196\nt=0034 ADD_EDGE edge_id=e_528eb2c54243 source=n_6b17c1402120 edge_type=supports target=n_ae30a1a02664\nt=0035 ADD_EDGE edge_id=e_784ff315ab9d source=n_1760d762b90a edge_type=refutes target=n_722bf7e8b491\nt=0036 ADD_EDGE edge_id=e_9e96103d21d1 source=n_fafc48e195f2 edge_type=supports target=n_d27c77712b36\nt=0037 ADD_EDGE edge_id=e_622271943af0 source=n_1760d762b90a edge_type=refutes target=n_bab365f3b75e\nt=0038 ADD_EDGE edge_id=e_86bdff40d380 source=n_a70c28175ce1 edge_type=supports target=n_73f76fd6fe38\nt=0039 ADD_EDGE edge_id=e_b371bb146efc source=n_734299286242 edge_type=refutes target=n_2526f22b314c\nt=0040 ADD_EDGE edge_id=e_dc39262dfc56 source=n_d324e05916b0 edge_type=refutes target=n_09fd3dd69180\nt=0041 ADD_EDGE edge_id=e_cba0c845b5ee source=n_6105845d9507 edge_type=supports target=n_a70c28175ce1\nt=0042 ADD_EDGE edge_id=e_6b4f8a96f223 source=n_734299286242 edge_type=refutes target=n_4af61ef91b2a\nt=0043 ADD_EDGE edge_id=e_46583aa67f17 source=n_734299286242 edge_type=supports target=n_d324e05916b0\nt=0044 ADD_EDGE edge_id=e_1ac93d85cccb source=n_6b17c1402120 edge_type=supports target=n_e7c45185f431\nt=0045 ADD_EDGE edge_id=e_19ec0fa032b1 source=n_1760d762b90a edge_type=refutes target=n_c372ef72c58a\nt=0046 ADD_EDGE edge_id=e_bce173b7bb13 source=n_4b1ff6c3537b edge_type=refutes target=n_c68483613d15\nt=0047 QUERY source=n_fafc48e195f2 target=n_16d89e6302a9\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2294,"provenance":{"base_record_id":"train-d07-018","dataset":"livegraph-deterministic-parity-v3","depth":7,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d07-018","split":"train","variant":"clean"},"record_seed":804454428240293256,"render_sha256":"c71d70219af3d91b25456696011e825fee426b0fba5b64d521399838c23d367e","representation":"linear_trace","semantic_sha256":"21d05082e4d0e683c4ff1f9e3f0552a5d19a84895c42d0675453ab32ce4fa845"}
{"char_count":4158,"item_id":"train-d07-019::linear_trace","label":"FALSE","lexical_token_proxy_count":712,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_fab9de7e4ba9 node_type=claim\nt=0001 CREATE_NODE id=n_baa44a4f8273 node_type=claim\nt=0002 CREATE_NODE id=n_f383230de2fd node_type=claim\nt=0003 CREATE_NODE id=n_e6a81196f250 node_type=claim\nt=0004 CREATE_NODE id=n_8ea5221aff32 node_type=claim\nt=0005 CREATE_NODE id=n_a4508456a6f2 node_type=claim\nt=0006 CREATE_NODE id=n_fa664ecdc427 node_type=claim\nt=0007 CREATE_NODE id=n_3f0b1c04e34b node_type=claim\nt=0008 CREATE_NODE id=n_e10a10cf6e89 node_type=claim\nt=0009 CREATE_NODE id=n_414e1403dfdd node_type=claim\nt=0010 CREATE_NODE id=n_ca606c302f5f node_type=claim\nt=0011 CREATE_NODE id=n_4abdf6f2ad57 node_type=claim\nt=0012 CREATE_NODE id=n_743e7b613968 node_type=claim\nt=0013 CREATE_NODE id=n_dfd60550b0f7 node_type=claim\nt=0014 CREATE_NODE id=n_a3d564aee5ed node_type=claim\nt=0015 CREATE_NODE id=n_48f31045a2e5 node_type=claim\nt=0016 CREATE_NODE id=n_a034af3c985b node_type=claim\nt=0017 CREATE_NODE id=n_c292fbbe2203 node_type=claim\nt=0018 CREATE_NODE id=n_e4c521076e15 node_type=claim\nt=0019 CREATE_NODE id=n_509ebaadcbc5 node_type=claim\nt=0020 CREATE_NODE id=n_9f3cdfb2b081 node_type=claim\nt=0021 CREATE_NODE id=n_c87d3ccf45db node_type=claim\nt=0022 CREATE_NODE id=n_315ae5ac53e6 node_type=claim\nt=0023 CREATE_NODE id=n_611793293cc2 node_type=claim\nt=0024 ASSERT_ROOT node=n_ca606c302f5f value=FALSE\nt=0025 ADD_EDGE edge_id=e_928b1d5a70cb source=n_c87d3ccf45db edge_type=refutes target=n_4abdf6f2ad57\nt=0026 ADD_EDGE edge_id=e_626425f2ccc0 source=n_fa664ecdc427 edge_type=refutes target=n_611793293cc2\nt=0027 ADD_EDGE edge_id=e_60e47b3df633 source=n_414e1403dfdd edge_type=supports target=n_e10a10cf6e89\nt=0028 ADD_EDGE edge_id=e_428baf7ca047 source=n_fa664ecdc427 edge_type=refutes target=n_a3d564aee5ed\nt=0029 ADD_EDGE edge_id=e_df594e1dc71f source=n_c292fbbe2203 edge_type=supports target=n_f383230de2fd\nt=0030 ADD_EDGE edge_id=e_9d8392d13084 source=n_c292fbbe2203 edge_type=refutes target=n_dfd60550b0f7\nt=0031 ADD_EDGE edge_id=e_fd1fabd7e067 source=n_e10a10cf6e89 edge_type=supports target=n_509ebaadcbc5\nt=0032 ADD_EDGE edge_id=e_3e1b01a5cacd source=n_48f31045a2e5 edge_type=refutes target=n_a034af3c985b\nt=0033 ADD_EDGE edge_id=e_875435d8999c source=n_ca606c302f5f edge_type=supports target=n_48f31045a2e5\nt=0034 ADD_EDGE edge_id=e_773e3773fac2 source=n_743e7b613968 edge_type=supports target=n_c292fbbe2203\nt=0035 ADD_EDGE edge_id=e_7fb09f58eaa4 source=n_3f0b1c04e34b edge_type=refutes target=n_9f3cdfb2b081\nt=0036 ADD_EDGE edge_id=e_b0882c1f1a42 source=n_e6a81196f250 edge_type=supports target=n_315ae5ac53e6\nt=0037 ADD_EDGE edge_id=e_7a38adbec712 source=n_a4508456a6f2 edge_type=refutes target=n_c87d3ccf45db\nt=0038 ADD_EDGE edge_id=e_d479939e55da source=n_fa664ecdc427 edge_type=supports target=n_e6a81196f250\nt=0039 ADD_EDGE edge_id=e_a7f6384ec6a5 source=n_a034af3c985b edge_type=refutes target=n_e4c521076e15\nt=0040 ADD_EDGE edge_id=e_e912ed8e1e72 source=n_a034af3c985b edge_type=supports target=n_3f0b1c04e34b\nt=0041 ADD_EDGE edge_id=e_c5f2feed4720 source=n_9f3cdfb2b081 edge_type=supports target=n_fa664ecdc427\nt=0042 ADD_EDGE edge_id=e_408decf5a447 source=n_a4508456a6f2 edge_type=refutes target=n_fab9de7e4ba9\nt=0043 ADD_EDGE edge_id=e_fbcc240e2a28 source=n_743e7b613968 edge_type=supports target=n_a4508456a6f2\nt=0044 ADD_EDGE edge_id=e_727341ac0301 source=n_a4508456a6f2 edge_type=supports target=n_414e1403dfdd\nt=0045 ADD_EDGE edge_id=e_579ad39f2367 source=n_9f3cdfb2b081 edge_type=refutes target=n_8ea5221aff32\nt=0046 ADD_EDGE edge_id=e_f391364bf481 source=n_f383230de2fd edge_type=refutes target=n_baa44a4f8273\nt=0047 QUERY source=n_ca606c302f5f target=n_315ae5ac53e6\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2243,"provenance":{"base_record_id":"train-d07-019","dataset":"livegraph-deterministic-parity-v3","depth":7,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d07-019","split":"train","variant":"clean"},"record_seed":1146019335988215198,"render_sha256":"06ed48ac21bbb60dd3447ab100002c78914d8a010ba7757f490f332ebf35fc17","representation":"linear_trace","semantic_sha256":"6e99c02c8bb14e30dc8e64757f5f9d4e14218df5d7e4670423f65ce0400af8c5"}
{"char_count":4157,"item_id":"train-d07-020::linear_trace","label":"TRUE","lexical_token_proxy_count":712,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_89b9e2c178c8 node_type=claim\nt=0001 CREATE_NODE id=n_c21671c11e48 node_type=claim\nt=0002 CREATE_NODE id=n_f37f7730155f node_type=claim\nt=0003 CREATE_NODE id=n_aafc28ca43c2 node_type=claim\nt=0004 CREATE_NODE id=n_bb9548dbf02f node_type=claim\nt=0005 CREATE_NODE id=n_dc6473c67d5a node_type=claim\nt=0006 CREATE_NODE id=n_f1f3a0fccf99 node_type=claim\nt=0007 CREATE_NODE id=n_098de2de1f27 node_type=claim\nt=0008 CREATE_NODE id=n_be887ad9479a node_type=claim\nt=0009 CREATE_NODE id=n_2e625db8e09e node_type=claim\nt=0010 CREATE_NODE id=n_e6808acdbb79 node_type=claim\nt=0011 CREATE_NODE id=n_1f41219352d4 node_type=claim\nt=0012 CREATE_NODE id=n_c9f4a7c046e6 node_type=claim\nt=0013 CREATE_NODE id=n_e492277bc570 node_type=claim\nt=0014 CREATE_NODE id=n_7d203a65ddf6 node_type=claim\nt=0015 CREATE_NODE id=n_1bd2254872af node_type=claim\nt=0016 CREATE_NODE id=n_4916eee6b307 node_type=claim\nt=0017 CREATE_NODE id=n_825125d8d0c9 node_type=claim\nt=0018 CREATE_NODE id=n_55d9756107e1 node_type=claim\nt=0019 CREATE_NODE id=n_1f6ffdb1bcc1 node_type=claim\nt=0020 CREATE_NODE id=n_25b1f8c16b1e node_type=claim\nt=0021 CREATE_NODE id=n_bdcb96e08ca7 node_type=claim\nt=0022 CREATE_NODE id=n_6d2788d68cf2 node_type=claim\nt=0023 CREATE_NODE id=n_14bfcc3ea2fa node_type=claim\nt=0024 ASSERT_ROOT node=n_be887ad9479a value=TRUE\nt=0025 ADD_EDGE edge_id=e_e339fd6e8371 source=n_25b1f8c16b1e edge_type=supports target=n_1f6ffdb1bcc1\nt=0026 ADD_EDGE edge_id=e_b1dfa7ff1a05 source=n_1bd2254872af edge_type=supports target=n_c21671c11e48\nt=0027 ADD_EDGE edge_id=e_4fcd0ccf10e8 source=n_4916eee6b307 edge_type=supports target=n_f1f3a0fccf99\nt=0028 ADD_EDGE edge_id=e_a44086cd80c0 source=n_25b1f8c16b1e edge_type=supports target=n_bb9548dbf02f\nt=0029 ADD_EDGE edge_id=e_974b1a8d2db6 source=n_1f41219352d4 edge_type=supports target=n_7d203a65ddf6\nt=0030 ADD_EDGE edge_id=e_3cd3de05fa6b source=n_098de2de1f27 edge_type=supports target=n_55d9756107e1\nt=0031 ADD_EDGE edge_id=e_da87e36bbf83 source=n_89b9e2c178c8 edge_type=supports target=n_e6808acdbb79\nt=0032 ADD_EDGE edge_id=e_4759a775a037 source=n_aafc28ca43c2 edge_type=supports target=n_e492277bc570\nt=0033 ADD_EDGE edge_id=e_8098cbad0722 source=n_1bd2254872af edge_type=refutes target=n_825125d8d0c9\nt=0034 ADD_EDGE edge_id=e_f184495089de source=n_c21671c11e48 edge_type=refutes target=n_aafc28ca43c2\nt=0035 ADD_EDGE edge_id=e_b855a32cfbb5 source=n_be887ad9479a edge_type=supports target=n_f37f7730155f\nt=0036 ADD_EDGE edge_id=e_0a780afa2137 source=n_25b1f8c16b1e edge_type=refutes target=n_14bfcc3ea2fa\nt=0037 ADD_EDGE edge_id=e_6746f76fa94f source=n_098de2de1f27 edge_type=refutes target=n_1bd2254872af\nt=0038 ADD_EDGE edge_id=e_c7c8c4df5219 source=n_098de2de1f27 edge_type=refutes target=n_2e625db8e09e\nt=0039 ADD_EDGE edge_id=e_23a217af7af6 source=n_6d2788d68cf2 edge_type=supports target=n_1f41219352d4\nt=0040 ADD_EDGE edge_id=e_89c61e3959bc source=n_25b1f8c16b1e edge_type=refutes target=n_bdcb96e08ca7\nt=0041 ADD_EDGE edge_id=e_2e4fa62cd155 source=n_c21671c11e48 edge_type=refutes target=n_c9f4a7c046e6\nt=0042 ADD_EDGE edge_id=e_dbb6160d99f9 source=n_89b9e2c178c8 edge_type=refutes target=n_6d2788d68cf2\nt=0043 ADD_EDGE edge_id=e_744d690230c7 source=n_f37f7730155f edge_type=refutes target=n_25b1f8c16b1e\nt=0044 ADD_EDGE edge_id=e_670f4b3677c9 source=n_bdcb96e08ca7 edge_type=refutes target=n_89b9e2c178c8\nt=0045 ADD_EDGE edge_id=e_60f3802c4ef7 source=n_098de2de1f27 edge_type=supports target=n_4916eee6b307\nt=0046 ADD_EDGE edge_id=e_e70af5f7fb7b source=n_c21671c11e48 edge_type=refutes target=n_dc6473c67d5a\nt=0047 QUERY source=n_be887ad9479a target=n_7d203a65ddf6\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2267,"provenance":{"base_record_id":"train-d07-020","dataset":"livegraph-deterministic-parity-v3","depth":7,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d07-020","split":"train","variant":"clean"},"record_seed":320571708295911578,"render_sha256":"ed9c416d991711311b147d1cc2fac429dd1526d36a833e5676884cd81cc28b06","representation":"linear_trace","semantic_sha256":"cf67223482d22c3794fa27ce2b636c7d6c864a13293e7513097cb7ede3c50752"}
{"char_count":4157,"item_id":"train-d07-021::linear_trace","label":"FALSE","lexical_token_proxy_count":712,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_237cf79d40ef node_type=claim\nt=0001 CREATE_NODE id=n_4d4974d76241 node_type=claim\nt=0002 CREATE_NODE id=n_1be8f193ee87 node_type=claim\nt=0003 CREATE_NODE id=n_6dc693da25bd node_type=claim\nt=0004 CREATE_NODE id=n_63b3444fa72f node_type=claim\nt=0005 CREATE_NODE id=n_2e8365d07015 node_type=claim\nt=0006 CREATE_NODE id=n_814a1f4b28e1 node_type=claim\nt=0007 CREATE_NODE id=n_4389060d6da7 node_type=claim\nt=0008 CREATE_NODE id=n_84f39d46a156 node_type=claim\nt=0009 CREATE_NODE id=n_c4149f6e1070 node_type=claim\nt=0010 CREATE_NODE id=n_0de299287786 node_type=claim\nt=0011 CREATE_NODE id=n_c54e4c0badba node_type=claim\nt=0012 CREATE_NODE id=n_d4723a3893d9 node_type=claim\nt=0013 CREATE_NODE id=n_c7eb36c256cb node_type=claim\nt=0014 CREATE_NODE id=n_5c8b6141fe59 node_type=claim\nt=0015 CREATE_NODE id=n_1f6fc64a2f3a node_type=claim\nt=0016 CREATE_NODE id=n_31e5f44cb8fa node_type=claim\nt=0017 CREATE_NODE id=n_3bacfbf0cfa3 node_type=claim\nt=0018 CREATE_NODE id=n_418da6d265b3 node_type=claim\nt=0019 CREATE_NODE id=n_d9f438725e1b node_type=claim\nt=0020 CREATE_NODE id=n_80855b2fe8f5 node_type=claim\nt=0021 CREATE_NODE id=n_113e94d8857b node_type=claim\nt=0022 CREATE_NODE id=n_72952b0e7bc3 node_type=claim\nt=0023 CREATE_NODE id=n_cc7a79bf320d node_type=claim\nt=0024 ASSERT_ROOT node=n_814a1f4b28e1 value=TRUE\nt=0025 ADD_EDGE edge_id=e_569677128868 source=n_3bacfbf0cfa3 edge_type=supports target=n_d9f438725e1b\nt=0026 ADD_EDGE edge_id=e_6f633468f072 source=n_6dc693da25bd edge_type=refutes target=n_4d4974d76241\nt=0027 ADD_EDGE edge_id=e_3fa52bf36f02 source=n_4389060d6da7 edge_type=refutes target=n_1be8f193ee87\nt=0028 ADD_EDGE edge_id=e_56b4765eedf9 source=n_cc7a79bf320d edge_type=refutes target=n_c7eb36c256cb\nt=0029 ADD_EDGE edge_id=e_9efec385dba4 source=n_814a1f4b28e1 edge_type=refutes target=n_1f6fc64a2f3a\nt=0030 ADD_EDGE edge_id=e_d88a48582d78 source=n_4389060d6da7 edge_type=supports target=n_72952b0e7bc3\nt=0031 ADD_EDGE edge_id=e_d57cce4f6b76 source=n_c7eb36c256cb edge_type=supports target=n_63b3444fa72f\nt=0032 ADD_EDGE edge_id=e_3ee8eccfa20c source=n_6dc693da25bd edge_type=supports target=n_84f39d46a156\nt=0033 ADD_EDGE edge_id=e_476f703c5473 source=n_d9f438725e1b edge_type=refutes target=n_237cf79d40ef\nt=0034 ADD_EDGE edge_id=e_6400958ab544 source=n_d4723a3893d9 edge_type=refutes target=n_4389060d6da7\nt=0035 ADD_EDGE edge_id=e_9263a0c58c22 source=n_3bacfbf0cfa3 edge_type=supports target=n_113e94d8857b\nt=0036 ADD_EDGE edge_id=e_fc369f26f78e source=n_2e8365d07015 edge_type=supports target=n_6dc693da25bd\nt=0037 ADD_EDGE edge_id=e_0d8e70600e89 source=n_3bacfbf0cfa3 edge_type=supports target=n_418da6d265b3\nt=0038 ADD_EDGE edge_id=e_4e60341404b5 source=n_c7eb36c256cb edge_type=refutes target=n_5c8b6141fe59\nt=0039 ADD_EDGE edge_id=e_83ad5ae6a9ba source=n_80855b2fe8f5 edge_type=supports target=n_c54e4c0badba\nt=0040 ADD_EDGE edge_id=e_6ef0b4607f7c source=n_6dc693da25bd edge_type=supports target=n_0de299287786\nt=0041 ADD_EDGE edge_id=e_4694a331fa45 source=n_1f6fc64a2f3a edge_type=refutes target=n_3bacfbf0cfa3\nt=0042 ADD_EDGE edge_id=e_2be1141fa823 source=n_237cf79d40ef edge_type=refutes target=n_cc7a79bf320d\nt=0043 ADD_EDGE edge_id=e_483b9290b961 source=n_80855b2fe8f5 edge_type=refutes target=n_31e5f44cb8fa\nt=0044 ADD_EDGE edge_id=e_e9486b1c189d source=n_2e8365d07015 edge_type=refutes target=n_80855b2fe8f5\nt=0045 ADD_EDGE edge_id=e_2c9116cc8af9 source=n_63b3444fa72f edge_type=supports target=n_c4149f6e1070\nt=0046 ADD_EDGE edge_id=e_67309e67d8ca source=n_4389060d6da7 edge_type=supports target=n_2e8365d07015\nt=0047 QUERY source=n_814a1f4b28e1 target=n_63b3444fa72f\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2267,"provenance":{"base_record_id":"train-d07-021","dataset":"livegraph-deterministic-parity-v3","depth":7,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d07-021","split":"train","variant":"clean"},"record_seed":3276468440019620,"render_sha256":"cee327c25255a166040a9c9207a124afb4ce5a103c9cf3dda2ab58b11385fa31","representation":"linear_trace","semantic_sha256":"7e25bf61a98c481aa801e1bde2ff80e86d740b91415a48983fc1a2c4ce19f952"}
{"char_count":4158,"item_id":"train-d07-022::linear_trace","label":"TRUE","lexical_token_proxy_count":712,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_bfeb059bbb21 node_type=claim\nt=0001 CREATE_NODE id=n_dbd93441e53b node_type=claim\nt=0002 CREATE_NODE id=n_42246cb71328 node_type=claim\nt=0003 CREATE_NODE id=n_4e125a8b7209 node_type=claim\nt=0004 CREATE_NODE id=n_d56f260759ab node_type=claim\nt=0005 CREATE_NODE id=n_ec1c3039d15d node_type=claim\nt=0006 CREATE_NODE id=n_8f36a0bc2513 node_type=claim\nt=0007 CREATE_NODE id=n_54aaf93aa3b7 node_type=claim\nt=0008 CREATE_NODE id=n_16241929e7bf node_type=claim\nt=0009 CREATE_NODE id=n_b6bb3e3e35a9 node_type=claim\nt=0010 CREATE_NODE id=n_dbe95d55161c node_type=claim\nt=0011 CREATE_NODE id=n_8de3f5f1dd67 node_type=claim\nt=0012 CREATE_NODE id=n_eb4e57c20261 node_type=claim\nt=0013 CREATE_NODE id=n_437de3e0a4d4 node_type=claim\nt=0014 CREATE_NODE id=n_fde92cdcbd4f node_type=claim\nt=0015 CREATE_NODE id=n_8243af891ddb node_type=claim\nt=0016 CREATE_NODE id=n_f30d34486a64 node_type=claim\nt=0017 CREATE_NODE id=n_dad24a31f8b9 node_type=claim\nt=0018 CREATE_NODE id=n_364553cacfb4 node_type=claim\nt=0019 CREATE_NODE id=n_228d983b9c03 node_type=claim\nt=0020 CREATE_NODE id=n_4c1ddff4c902 node_type=claim\nt=0021 CREATE_NODE id=n_1eb42c103461 node_type=claim\nt=0022 CREATE_NODE id=n_67238831f3fa node_type=claim\nt=0023 CREATE_NODE id=n_2606a1deb266 node_type=claim\nt=0024 ASSERT_ROOT node=n_b6bb3e3e35a9 value=FALSE\nt=0025 ADD_EDGE edge_id=e_f1a64077a482 source=n_1eb42c103461 edge_type=supports target=n_2606a1deb266\nt=0026 ADD_EDGE edge_id=e_9d34ab27ed4d source=n_228d983b9c03 edge_type=refutes target=n_54aaf93aa3b7\nt=0027 ADD_EDGE edge_id=e_1ae8751de624 source=n_364553cacfb4 edge_type=refutes target=n_4c1ddff4c902\nt=0028 ADD_EDGE edge_id=e_910497a93493 source=n_4e125a8b7209 edge_type=supports target=n_dbd93441e53b\nt=0029 ADD_EDGE edge_id=e_d25932b5206a source=n_8f36a0bc2513 edge_type=supports target=n_eb4e57c20261\nt=0030 ADD_EDGE edge_id=e_c1a2991ccc93 source=n_fde92cdcbd4f edge_type=supports target=n_ec1c3039d15d\nt=0031 ADD_EDGE edge_id=e_92a2974bd286 source=n_8de3f5f1dd67 edge_type=supports target=n_67238831f3fa\nt=0032 ADD_EDGE edge_id=e_46d2ba177975 source=n_fde92cdcbd4f edge_type=refutes target=n_dad24a31f8b9\nt=0033 ADD_EDGE edge_id=e_14437a1ef4a3 source=n_67238831f3fa edge_type=refutes target=n_d56f260759ab\nt=0034 ADD_EDGE edge_id=e_14d76672939f source=n_4e125a8b7209 edge_type=refutes target=n_fde92cdcbd4f\nt=0035 ADD_EDGE edge_id=e_f12e637cb89f source=n_8de3f5f1dd67 edge_type=supports target=n_8f36a0bc2513\nt=0036 ADD_EDGE edge_id=e_97374690a3a8 source=n_f30d34486a64 edge_type=refutes target=n_364553cacfb4\nt=0037 ADD_EDGE edge_id=e_abe52b0e8139 source=n_2606a1deb266 edge_type=supports target=n_dbe95d55161c\nt=0038 ADD_EDGE edge_id=e_ca0e792137f2 source=n_67238831f3fa edge_type=supports target=n_8243af891ddb\nt=0039 ADD_EDGE edge_id=e_c34bde0bdb44 source=n_4c1ddff4c902 edge_type=supports target=n_bfeb059bbb21\nt=0040 ADD_EDGE edge_id=e_e4c36d103602 source=n_67238831f3fa edge_type=supports target=n_f30d34486a64\nt=0041 ADD_EDGE edge_id=e_0415f3d92b8e source=n_f30d34486a64 edge_type=refutes target=n_437de3e0a4d4\nt=0042 ADD_EDGE edge_id=e_d5b1cdc6e9a6 source=n_54aaf93aa3b7 edge_type=refutes target=n_4e125a8b7209\nt=0043 ADD_EDGE edge_id=e_847e41666deb source=n_b6bb3e3e35a9 edge_type=refutes target=n_1eb42c103461\nt=0044 ADD_EDGE edge_id=e_2134f6d0f93d source=n_67238831f3fa edge_type=supports target=n_42246cb71328\nt=0045 ADD_EDGE edge_id=e_0e1728bb6bef source=n_2606a1deb266 edge_type=refutes target=n_228d983b9c03\nt=0046 ADD_EDGE edge_id=e_24eef84d1c66 source=n_54aaf93aa3b7 edge_type=refutes target=n_16241929e7bf\nt=0047 QUERY source=n_b6bb3e3e35a9 target=n_ec1c3039d15d\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2255,"provenance":{"base_record_id":"train-d07-022","dataset":"livegraph-deterministic-parity-v3","depth":7,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d07-022","split":"train","variant":"clean"},"record_seed":243417546003172104,"render_sha256":"c19d50ac97bc7b304a915a2b0adf3e3313ba7c4b5baacc104d6be11b7db24f54","representation":"linear_trace","semantic_sha256":"2f42d38c9252becf23c7376528bdbab2464b143a4b0bd234e57041a6e6a1439f"}
{"char_count":4158,"item_id":"train-d07-023::linear_trace","label":"FALSE","lexical_token_proxy_count":712,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_bd1a4d0c762c node_type=claim\nt=0001 CREATE_NODE id=n_f041e6cddc5d node_type=claim\nt=0002 CREATE_NODE id=n_6e310d6936f8 node_type=claim\nt=0003 CREATE_NODE id=n_06e0095a2fbb node_type=claim\nt=0004 CREATE_NODE id=n_5264b5d43a19 node_type=claim\nt=0005 CREATE_NODE id=n_b7de376ca3c9 node_type=claim\nt=0006 CREATE_NODE id=n_c79de84d21cd node_type=claim\nt=0007 CREATE_NODE id=n_6f7f005d157a node_type=claim\nt=0008 CREATE_NODE id=n_1a0221961fbd node_type=claim\nt=0009 CREATE_NODE id=n_ae3be458248e node_type=claim\nt=0010 CREATE_NODE id=n_18aaef05fc93 node_type=claim\nt=0011 CREATE_NODE id=n_dd55eb95d0c7 node_type=claim\nt=0012 CREATE_NODE id=n_0bc5a82a52d3 node_type=claim\nt=0013 CREATE_NODE id=n_55f46e1e74e7 node_type=claim\nt=0014 CREATE_NODE id=n_70d4db2f7530 node_type=claim\nt=0015 CREATE_NODE id=n_23ea2b152192 node_type=claim\nt=0016 CREATE_NODE id=n_275b2fc5bd4c node_type=claim\nt=0017 CREATE_NODE id=n_38a2040f8039 node_type=claim\nt=0018 CREATE_NODE id=n_d8720ae66ae9 node_type=claim\nt=0019 CREATE_NODE id=n_658c96c7cd60 node_type=claim\nt=0020 CREATE_NODE id=n_a556665132d8 node_type=claim\nt=0021 CREATE_NODE id=n_722851c4e6b0 node_type=claim\nt=0022 CREATE_NODE id=n_e14e07e6f2a2 node_type=claim\nt=0023 CREATE_NODE id=n_4cd112c64b5e node_type=claim\nt=0024 ASSERT_ROOT node=n_4cd112c64b5e value=FALSE\nt=0025 ADD_EDGE edge_id=e_3bc8fdc1ab6c source=n_06e0095a2fbb edge_type=refutes target=n_6f7f005d157a\nt=0026 ADD_EDGE edge_id=e_f509c8a1a1d5 source=n_722851c4e6b0 edge_type=supports target=n_5264b5d43a19\nt=0027 ADD_EDGE edge_id=e_5630c35e8db1 source=n_b7de376ca3c9 edge_type=supports target=n_d8720ae66ae9\nt=0028 ADD_EDGE edge_id=e_b485c883192f source=n_e14e07e6f2a2 edge_type=refutes target=n_ae3be458248e\nt=0029 ADD_EDGE edge_id=e_101dcc917963 source=n_5264b5d43a19 edge_type=refutes target=n_f041e6cddc5d\nt=0030 ADD_EDGE edge_id=e_0caa2548b6ed source=n_b7de376ca3c9 edge_type=supports target=n_c79de84d21cd\nt=0031 ADD_EDGE edge_id=e_d3b33fe7de20 source=n_23ea2b152192 edge_type=refutes target=n_1a0221961fbd\nt=0032 ADD_EDGE edge_id=e_40c26e958b9e source=n_4cd112c64b5e edge_type=refutes target=n_70d4db2f7530\nt=0033 ADD_EDGE edge_id=e_be05a0d40319 source=n_6f7f005d157a edge_type=supports target=n_658c96c7cd60\nt=0034 ADD_EDGE edge_id=e_e92866470cea source=n_6e310d6936f8 edge_type=supports target=n_06e0095a2fbb\nt=0035 ADD_EDGE edge_id=e_893b77e97ab0 source=n_6f7f005d157a edge_type=refutes target=n_722851c4e6b0\nt=0036 ADD_EDGE edge_id=e_01a7eaa91a03 source=n_6e310d6936f8 edge_type=refutes target=n_18aaef05fc93\nt=0037 ADD_EDGE edge_id=e_70346ca99a47 source=n_0bc5a82a52d3 edge_type=refutes target=n_a556665132d8\nt=0038 ADD_EDGE edge_id=e_52fb270b2028 source=n_6f7f005d157a edge_type=supports target=n_0bc5a82a52d3\nt=0039 ADD_EDGE edge_id=e_e3f00860a04e source=n_e14e07e6f2a2 edge_type=refutes target=n_b7de376ca3c9\nt=0040 ADD_EDGE edge_id=e_7d1a2e9bb396 source=n_06e0095a2fbb edge_type=supports target=n_275b2fc5bd4c\nt=0041 ADD_EDGE edge_id=e_76270aaf98b2 source=n_4cd112c64b5e edge_type=supports target=n_23ea2b152192\nt=0042 ADD_EDGE edge_id=e_6651bd581f4b source=n_c79de84d21cd edge_type=supports target=n_38a2040f8039\nt=0043 ADD_EDGE edge_id=e_a76808a3a63a source=n_55f46e1e74e7 edge_type=supports target=n_e14e07e6f2a2\nt=0044 ADD_EDGE edge_id=e_09b06d726de8 source=n_275b2fc5bd4c edge_type=refutes target=n_bd1a4d0c762c\nt=0045 ADD_EDGE edge_id=e_c99e90860d23 source=n_38a2040f8039 edge_type=supports target=n_dd55eb95d0c7\nt=0046 ADD_EDGE edge_id=e_8c8288b0d0fc source=n_23ea2b152192 edge_type=refutes target=n_55f46e1e74e7\nt=0047 QUERY source=n_4cd112c64b5e target=n_dd55eb95d0c7\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2295,"provenance":{"base_record_id":"train-d07-023","dataset":"livegraph-deterministic-parity-v3","depth":7,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d07-023","split":"train","variant":"clean"},"record_seed":1048331924344338398,"render_sha256":"7dfb4f6bb1e249dce66a27be2037e7b31cba639f51d8707e2485230d046befbf","representation":"linear_trace","semantic_sha256":"8b663f9632969cd664e90391533dafb6be04e7b447ddc97eaac59d42d9bba3ff"}
{"char_count":4157,"item_id":"train-d07-024::linear_trace","label":"TRUE","lexical_token_proxy_count":712,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_297d7ae227e9 node_type=claim\nt=0001 CREATE_NODE id=n_2916e28288d1 node_type=claim\nt=0002 CREATE_NODE id=n_796229134d47 node_type=claim\nt=0003 CREATE_NODE id=n_41e6380c0796 node_type=claim\nt=0004 CREATE_NODE id=n_0b4bc98f104b node_type=claim\nt=0005 CREATE_NODE id=n_bc033e9198b4 node_type=claim\nt=0006 CREATE_NODE id=n_7d26c45c4554 node_type=claim\nt=0007 CREATE_NODE id=n_10fda821aa56 node_type=claim\nt=0008 CREATE_NODE id=n_414cefe9fb15 node_type=claim\nt=0009 CREATE_NODE id=n_030df70baa5e node_type=claim\nt=0010 CREATE_NODE id=n_70a37a29acb9 node_type=claim\nt=0011 CREATE_NODE id=n_bd88ed087e2b node_type=claim\nt=0012 CREATE_NODE id=n_2566b45a86ce node_type=claim\nt=0013 CREATE_NODE id=n_05880a641cb8 node_type=claim\nt=0014 CREATE_NODE id=n_1dfad03d0f74 node_type=claim\nt=0015 CREATE_NODE id=n_69dc21be778e node_type=claim\nt=0016 CREATE_NODE id=n_362edca74637 node_type=claim\nt=0017 CREATE_NODE id=n_81f5de6bbd71 node_type=claim\nt=0018 CREATE_NODE id=n_d06541cd874d node_type=claim\nt=0019 CREATE_NODE id=n_3db0fcd99a73 node_type=claim\nt=0020 CREATE_NODE id=n_25cb21b21233 node_type=claim\nt=0021 CREATE_NODE id=n_dff61c483592 node_type=claim\nt=0022 CREATE_NODE id=n_66c9b31c105d node_type=claim\nt=0023 CREATE_NODE id=n_6e7e0779147a node_type=claim\nt=0024 ASSERT_ROOT node=n_0b4bc98f104b value=TRUE\nt=0025 ADD_EDGE edge_id=e_c69801b3f014 source=n_414cefe9fb15 edge_type=refutes target=n_030df70baa5e\nt=0026 ADD_EDGE edge_id=e_b46b9725e894 source=n_796229134d47 edge_type=supports target=n_1dfad03d0f74\nt=0027 ADD_EDGE edge_id=e_1738e80bd867 source=n_7d26c45c4554 edge_type=supports target=n_414cefe9fb15\nt=0028 ADD_EDGE edge_id=e_0336aaf40ead source=n_6e7e0779147a edge_type=supports target=n_bc033e9198b4\nt=0029 ADD_EDGE edge_id=e_c8c83ebdc61b source=n_3db0fcd99a73 edge_type=refutes target=n_d06541cd874d\nt=0030 ADD_EDGE edge_id=e_6e015ccbccf2 source=n_dff61c483592 edge_type=refutes target=n_10fda821aa56\nt=0031 ADD_EDGE edge_id=e_dc94cc70dfa1 source=n_414cefe9fb15 edge_type=supports target=n_81f5de6bbd71\nt=0032 ADD_EDGE edge_id=e_cabaf9558f96 source=n_7d26c45c4554 edge_type=supports target=n_69dc21be778e\nt=0033 ADD_EDGE edge_id=e_c57ae8132ca4 source=n_362edca74637 edge_type=refutes target=n_70a37a29acb9\nt=0034 ADD_EDGE edge_id=e_0a9364720d48 source=n_0b4bc98f104b edge_type=supports target=n_362edca74637\nt=0035 ADD_EDGE edge_id=e_4088e0eefeef source=n_25cb21b21233 edge_type=refutes target=n_2916e28288d1\nt=0036 ADD_EDGE edge_id=e_5168148b110a source=n_0b4bc98f104b edge_type=supports target=n_66c9b31c105d\nt=0037 ADD_EDGE edge_id=e_96b3ec8d9424 source=n_030df70baa5e edge_type=refutes target=n_05880a641cb8\nt=0038 ADD_EDGE edge_id=e_99618d935fbf source=n_3db0fcd99a73 edge_type=refutes target=n_6e7e0779147a\nt=0039 ADD_EDGE edge_id=e_aba805aac926 source=n_414cefe9fb15 edge_type=refutes target=n_bd88ed087e2b\nt=0040 ADD_EDGE edge_id=e_1ace80691120 source=n_10fda821aa56 edge_type=supports target=n_2566b45a86ce\nt=0041 ADD_EDGE edge_id=e_ac3fc39b3770 source=n_1dfad03d0f74 edge_type=supports target=n_3db0fcd99a73\nt=0042 ADD_EDGE edge_id=e_7b8eb0e1d67f source=n_bc033e9198b4 edge_type=refutes target=n_297d7ae227e9\nt=0043 ADD_EDGE edge_id=e_a5c85becaee3 source=n_bc033e9198b4 edge_type=refutes target=n_41e6380c0796\nt=0044 ADD_EDGE edge_id=e_a3ca3d9cf5de source=n_70a37a29acb9 edge_type=supports target=n_796229134d47\nt=0045 ADD_EDGE edge_id=e_d179742f9efa source=n_7d26c45c4554 edge_type=refutes target=n_25cb21b21233\nt=0046 ADD_EDGE edge_id=e_a664b896c4c5 source=n_7d26c45c4554 edge_type=supports target=n_dff61c483592\nt=0047 QUERY source=n_0b4bc98f104b target=n_bc033e9198b4\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2253,"provenance":{"base_record_id":"train-d07-024","dataset":"livegraph-deterministic-parity-v3","depth":7,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d07-024","split":"train","variant":"clean"},"record_seed":1011575665120483194,"render_sha256":"5b873c5649d9fe6893eb5f94f759a5316aa5c644223181b76184d12b01fc0fe0","representation":"linear_trace","semantic_sha256":"822fa56f6791b3240e605c1c707e4779ea31f266bbc365aa1dbc396f225a201b"}
{"char_count":4157,"item_id":"train-d07-025::linear_trace","label":"FALSE","lexical_token_proxy_count":712,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_a08e1a3413e1 node_type=claim\nt=0001 CREATE_NODE id=n_9f148a7d2a04 node_type=claim\nt=0002 CREATE_NODE id=n_a72abea6aa3c node_type=claim\nt=0003 CREATE_NODE id=n_94317ed45ec2 node_type=claim\nt=0004 CREATE_NODE id=n_f0f74723a33e node_type=claim\nt=0005 CREATE_NODE id=n_4f60dd1a3bc0 node_type=claim\nt=0006 CREATE_NODE id=n_b53c157283e9 node_type=claim\nt=0007 CREATE_NODE id=n_87f37e7fd51a node_type=claim\nt=0008 CREATE_NODE id=n_d0bc6e30315b node_type=claim\nt=0009 CREATE_NODE id=n_6ac909aca990 node_type=claim\nt=0010 CREATE_NODE id=n_7e627dd2c633 node_type=claim\nt=0011 CREATE_NODE id=n_49974d89268f node_type=claim\nt=0012 CREATE_NODE id=n_0958a51bb451 node_type=claim\nt=0013 CREATE_NODE id=n_abcb33611182 node_type=claim\nt=0014 CREATE_NODE id=n_8ea29a568669 node_type=claim\nt=0015 CREATE_NODE id=n_11c8b95938e2 node_type=claim\nt=0016 CREATE_NODE id=n_eecfd2423697 node_type=claim\nt=0017 CREATE_NODE id=n_b08c1c87be24 node_type=claim\nt=0018 CREATE_NODE id=n_71d1220766ed node_type=claim\nt=0019 CREATE_NODE id=n_2b408c90f66e node_type=claim\nt=0020 CREATE_NODE id=n_1c42eca9565c node_type=claim\nt=0021 CREATE_NODE id=n_e4eab95633e1 node_type=claim\nt=0022 CREATE_NODE id=n_2b24985ba5ef node_type=claim\nt=0023 CREATE_NODE id=n_f255ef3c98eb node_type=claim\nt=0024 ASSERT_ROOT node=n_d0bc6e30315b value=TRUE\nt=0025 ADD_EDGE edge_id=e_214bffbea9db source=n_1c42eca9565c edge_type=refutes target=n_a72abea6aa3c\nt=0026 ADD_EDGE edge_id=e_b2e0e3f2e6d5 source=n_a08e1a3413e1 edge_type=supports target=n_eecfd2423697\nt=0027 ADD_EDGE edge_id=e_ae9c17f2893d source=n_d0bc6e30315b edge_type=supports target=n_2b24985ba5ef\nt=0028 ADD_EDGE edge_id=e_47ce125ef835 source=n_1c42eca9565c edge_type=refutes target=n_71d1220766ed\nt=0029 ADD_EDGE edge_id=e_d740df37ad33 source=n_71d1220766ed edge_type=refutes target=n_11c8b95938e2\nt=0030 ADD_EDGE edge_id=e_419bd7e675de source=n_11c8b95938e2 edge_type=refutes target=n_6ac909aca990\nt=0031 ADD_EDGE edge_id=e_1c0fd047bbaf source=n_1c42eca9565c edge_type=supports target=n_4f60dd1a3bc0\nt=0032 ADD_EDGE edge_id=e_3c9d513b31e3 source=n_f0f74723a33e edge_type=supports target=n_e4eab95633e1\nt=0033 ADD_EDGE edge_id=e_14383c35adac source=n_d0bc6e30315b edge_type=refutes target=n_b53c157283e9\nt=0034 ADD_EDGE edge_id=e_9d5e0a6623bc source=n_e4eab95633e1 edge_type=supports target=n_49974d89268f\nt=0035 ADD_EDGE edge_id=e_b15b00345e24 source=n_8ea29a568669 edge_type=refutes target=n_a08e1a3413e1\nt=0036 ADD_EDGE edge_id=e_df3a9436eb4f source=n_f255ef3c98eb edge_type=refutes target=n_2b408c90f66e\nt=0037 ADD_EDGE edge_id=e_e449bb878c0e source=n_94317ed45ec2 edge_type=refutes target=n_abcb33611182\nt=0038 ADD_EDGE edge_id=e_614a011e11c4 source=n_e4eab95633e1 edge_type=supports target=n_b08c1c87be24\nt=0039 ADD_EDGE edge_id=e_901675aeec90 source=n_a08e1a3413e1 edge_type=supports target=n_94317ed45ec2\nt=0040 ADD_EDGE edge_id=e_5c2564c773ec source=n_2b24985ba5ef edge_type=refutes target=n_f255ef3c98eb\nt=0041 ADD_EDGE edge_id=e_f93ac5bce7f4 source=n_a72abea6aa3c edge_type=refutes target=n_7e627dd2c633\nt=0042 ADD_EDGE edge_id=e_ee95715d203f source=n_9f148a7d2a04 edge_type=supports target=n_87f37e7fd51a\nt=0043 ADD_EDGE edge_id=e_05adfc7d7f5a source=n_1c42eca9565c edge_type=supports target=n_f0f74723a33e\nt=0044 ADD_EDGE edge_id=e_3ee252b8e4b7 source=n_9f148a7d2a04 edge_type=supports target=n_8ea29a568669\nt=0045 ADD_EDGE edge_id=e_ba8f6fa5b3d6 source=n_2b408c90f66e edge_type=supports target=n_9f148a7d2a04\nt=0046 ADD_EDGE edge_id=e_a170a5d65184 source=n_f0f74723a33e edge_type=refutes target=n_0958a51bb451\nt=0047 QUERY source=n_d0bc6e30315b target=n_94317ed45ec2\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2273,"provenance":{"base_record_id":"train-d07-025","dataset":"livegraph-deterministic-parity-v3","depth":7,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d07-025","split":"train","variant":"clean"},"record_seed":486737515309267999,"render_sha256":"dffa876429f535d5e2499ebbebfd3038f35c60dca0c9d1b78babdabc08d4bc35","representation":"linear_trace","semantic_sha256":"26b3b69526863b0f79fc4e188cf3ee73bd5dc11982cb67f85e8b945583c42c96"}
{"char_count":4158,"item_id":"train-d07-026::linear_trace","label":"TRUE","lexical_token_proxy_count":712,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_c0bf4980d787 node_type=claim\nt=0001 CREATE_NODE id=n_42247898d43b node_type=claim\nt=0002 CREATE_NODE id=n_e84866e4941a node_type=claim\nt=0003 CREATE_NODE id=n_baa1ebceb82c node_type=claim\nt=0004 CREATE_NODE id=n_31cede150250 node_type=claim\nt=0005 CREATE_NODE id=n_43062c8ab27c node_type=claim\nt=0006 CREATE_NODE id=n_b23e84cc0e45 node_type=claim\nt=0007 CREATE_NODE id=n_1c378ed5fb0e node_type=claim\nt=0008 CREATE_NODE id=n_084534e5871d node_type=claim\nt=0009 CREATE_NODE id=n_01842a4d646a node_type=claim\nt=0010 CREATE_NODE id=n_77bb331ddda7 node_type=claim\nt=0011 CREATE_NODE id=n_9742da08fa38 node_type=claim\nt=0012 CREATE_NODE id=n_d03b0de40d43 node_type=claim\nt=0013 CREATE_NODE id=n_975716cd163e node_type=claim\nt=0014 CREATE_NODE id=n_f51aed004731 node_type=claim\nt=0015 CREATE_NODE id=n_318bf01a0bb7 node_type=claim\nt=0016 CREATE_NODE id=n_35b80172fca4 node_type=claim\nt=0017 CREATE_NODE id=n_46ec3f159ee9 node_type=claim\nt=0018 CREATE_NODE id=n_17d7e33b8f7c node_type=claim\nt=0019 CREATE_NODE id=n_74fd2cb4323b node_type=claim\nt=0020 CREATE_NODE id=n_e1a53716bbe3 node_type=claim\nt=0021 CREATE_NODE id=n_93e2c0efd7cb node_type=claim\nt=0022 CREATE_NODE id=n_500c35dae6d0 node_type=claim\nt=0023 CREATE_NODE id=n_485755354883 node_type=claim\nt=0024 ASSERT_ROOT node=n_93e2c0efd7cb value=FALSE\nt=0025 ADD_EDGE edge_id=e_fee1bd247f57 source=n_46ec3f159ee9 edge_type=refutes target=n_f51aed004731\nt=0026 ADD_EDGE edge_id=e_6c76d23dd010 source=n_e1a53716bbe3 edge_type=supports target=n_b23e84cc0e45\nt=0027 ADD_EDGE edge_id=e_64a7131c5cb7 source=n_975716cd163e edge_type=supports target=n_318bf01a0bb7\nt=0028 ADD_EDGE edge_id=e_e34c3bd4f41f source=n_e84866e4941a edge_type=supports target=n_1c378ed5fb0e\nt=0029 ADD_EDGE edge_id=e_293bf6634453 source=n_c0bf4980d787 edge_type=supports target=n_485755354883\nt=0030 ADD_EDGE edge_id=e_f5304e0ea9af source=n_46ec3f159ee9 edge_type=refutes target=n_01842a4d646a\nt=0031 ADD_EDGE edge_id=e_f6d6c365a936 source=n_42247898d43b edge_type=supports target=n_46ec3f159ee9\nt=0032 ADD_EDGE edge_id=e_9182a08877cb source=n_318bf01a0bb7 edge_type=supports target=n_35b80172fca4\nt=0033 ADD_EDGE edge_id=e_2bb6dcc57816 source=n_93e2c0efd7cb edge_type=supports target=n_975716cd163e\nt=0034 ADD_EDGE edge_id=e_bddcbe002428 source=n_46ec3f159ee9 edge_type=supports target=n_baa1ebceb82c\nt=0035 ADD_EDGE edge_id=e_7ded2816e440 source=n_e84866e4941a edge_type=refutes target=n_d03b0de40d43\nt=0036 ADD_EDGE edge_id=e_301f7847a14d source=n_e84866e4941a edge_type=refutes target=n_74fd2cb4323b\nt=0037 ADD_EDGE edge_id=e_64a0e65d78ff source=n_e1a53716bbe3 edge_type=refutes target=n_77bb331ddda7\nt=0038 ADD_EDGE edge_id=e_2c9fb07004f9 source=n_e84866e4941a edge_type=refutes target=n_084534e5871d\nt=0039 ADD_EDGE edge_id=e_7df4a8682a08 source=n_c0bf4980d787 edge_type=refutes target=n_43062c8ab27c\nt=0040 ADD_EDGE edge_id=e_eee9521fe7cf source=n_e84866e4941a edge_type=refutes target=n_9742da08fa38\nt=0041 ADD_EDGE edge_id=e_74ef1fca04e6 source=n_318bf01a0bb7 edge_type=refutes target=n_42247898d43b\nt=0042 ADD_EDGE edge_id=e_b7e6e897b676 source=n_084534e5871d edge_type=refutes target=n_e1a53716bbe3\nt=0043 ADD_EDGE edge_id=e_f53661608916 source=n_baa1ebceb82c edge_type=supports target=n_c0bf4980d787\nt=0044 ADD_EDGE edge_id=e_05566df53391 source=n_74fd2cb4323b edge_type=supports target=n_500c35dae6d0\nt=0045 ADD_EDGE edge_id=e_b0a654b72368 source=n_74fd2cb4323b edge_type=refutes target=n_31cede150250\nt=0046 ADD_EDGE edge_id=e_88b139ee13ce source=n_d03b0de40d43 edge_type=supports target=n_17d7e33b8f7c\nt=0047 QUERY source=n_93e2c0efd7cb target=n_485755354883\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2262,"provenance":{"base_record_id":"train-d07-026","dataset":"livegraph-deterministic-parity-v3","depth":7,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d07-026","split":"train","variant":"clean"},"record_seed":111914445192789286,"render_sha256":"ea7ab4d93126d154656cd78f0671543faef5c51f84082a25c2f4dcf048956602","representation":"linear_trace","semantic_sha256":"d5307fe5f47e84882c748f2987d3d661e33342f744576f4ed9f69ff0f328f106"}
{"char_count":4158,"item_id":"train-d07-027::linear_trace","label":"FALSE","lexical_token_proxy_count":712,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_f89090adcd5d node_type=claim\nt=0001 CREATE_NODE id=n_8028a4774bf5 node_type=claim\nt=0002 CREATE_NODE id=n_57dddbd25fd6 node_type=claim\nt=0003 CREATE_NODE id=n_a4b957afca14 node_type=claim\nt=0004 CREATE_NODE id=n_99fc24f11c1d node_type=claim\nt=0005 CREATE_NODE id=n_5e24751f2971 node_type=claim\nt=0006 CREATE_NODE id=n_73edd09b74b0 node_type=claim\nt=0007 CREATE_NODE id=n_72e2b018984a node_type=claim\nt=0008 CREATE_NODE id=n_270e27c67635 node_type=claim\nt=0009 CREATE_NODE id=n_ab940e614ef3 node_type=claim\nt=0010 CREATE_NODE id=n_ac71ad49fc30 node_type=claim\nt=0011 CREATE_NODE id=n_b46e37fcddae node_type=claim\nt=0012 CREATE_NODE id=n_b7f3ca844d68 node_type=claim\nt=0013 CREATE_NODE id=n_0610b2ac578f node_type=claim\nt=0014 CREATE_NODE id=n_453c6bdc979f node_type=claim\nt=0015 CREATE_NODE id=n_3b4b771173cd node_type=claim\nt=0016 CREATE_NODE id=n_611faed059b0 node_type=claim\nt=0017 CREATE_NODE id=n_65707cd01722 node_type=claim\nt=0018 CREATE_NODE id=n_91f8eeaf3a78 node_type=claim\nt=0019 CREATE_NODE id=n_70b7a7c6903f node_type=claim\nt=0020 CREATE_NODE id=n_92908bb331a7 node_type=claim\nt=0021 CREATE_NODE id=n_522f2dc0481d node_type=claim\nt=0022 CREATE_NODE id=n_1a88f23f1d14 node_type=claim\nt=0023 CREATE_NODE id=n_6052dcb981a4 node_type=claim\nt=0024 ASSERT_ROOT node=n_b7f3ca844d68 value=FALSE\nt=0025 ADD_EDGE edge_id=e_46baeabe9c59 source=n_57dddbd25fd6 edge_type=refutes target=n_72e2b018984a\nt=0026 ADD_EDGE edge_id=e_9d8d73d9e3c1 source=n_65707cd01722 edge_type=refutes target=n_91f8eeaf3a78\nt=0027 ADD_EDGE edge_id=e_fd31ad26a3d2 source=n_a4b957afca14 edge_type=refutes target=n_57dddbd25fd6\nt=0028 ADD_EDGE edge_id=e_3cd3195b0049 source=n_f89090adcd5d edge_type=supports target=n_522f2dc0481d\nt=0029 ADD_EDGE edge_id=e_d4a7bd112817 source=n_91f8eeaf3a78 edge_type=refutes target=n_611faed059b0\nt=0030 ADD_EDGE edge_id=e_d4be8b8dac27 source=n_65707cd01722 edge_type=supports target=n_f89090adcd5d\nt=0031 ADD_EDGE edge_id=e_4da632d833be source=n_65707cd01722 edge_type=supports target=n_ac71ad49fc30\nt=0032 ADD_EDGE edge_id=e_b78137bee44b source=n_611faed059b0 edge_type=supports target=n_b46e37fcddae\nt=0033 ADD_EDGE edge_id=e_920e787c8335 source=n_270e27c67635 edge_type=refutes target=n_a4b957afca14\nt=0034 ADD_EDGE edge_id=e_2586824fe56b source=n_6052dcb981a4 edge_type=supports target=n_70b7a7c6903f\nt=0035 ADD_EDGE edge_id=e_12912ba60a70 source=n_ab940e614ef3 edge_type=refutes target=n_3b4b771173cd\nt=0036 ADD_EDGE edge_id=e_a07983a92caf source=n_611faed059b0 edge_type=supports target=n_73edd09b74b0\nt=0037 ADD_EDGE edge_id=e_5410c7806f33 source=n_ac71ad49fc30 edge_type=refutes target=n_99fc24f11c1d\nt=0038 ADD_EDGE edge_id=e_13ed6dc2e3f0 source=n_b7f3ca844d68 edge_type=refutes target=n_5e24751f2971\nt=0039 ADD_EDGE edge_id=e_cdfc5360a9f3 source=n_3b4b771173cd edge_type=refutes target=n_270e27c67635\nt=0040 ADD_EDGE edge_id=e_cbcd65fca2bd source=n_91f8eeaf3a78 edge_type=refutes target=n_1a88f23f1d14\nt=0041 ADD_EDGE edge_id=e_abeb497eabac source=n_65707cd01722 edge_type=supports target=n_92908bb331a7\nt=0042 ADD_EDGE edge_id=e_a93fbb0176f1 source=n_ac71ad49fc30 edge_type=supports target=n_0610b2ac578f\nt=0043 ADD_EDGE edge_id=e_70e2d42493c6 source=n_70b7a7c6903f edge_type=supports target=n_ab940e614ef3\nt=0044 ADD_EDGE edge_id=e_4f6880561488 source=n_3b4b771173cd edge_type=supports target=n_8028a4774bf5\nt=0045 ADD_EDGE edge_id=e_0f144a66900f source=n_3b4b771173cd edge_type=refutes target=n_453c6bdc979f\nt=0046 ADD_EDGE edge_id=e_1375429e95a6 source=n_b7f3ca844d68 edge_type=supports target=n_6052dcb981a4\nt=0047 QUERY source=n_b7f3ca844d68 target=n_57dddbd25fd6\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2255,"provenance":{"base_record_id":"train-d07-027","dataset":"livegraph-deterministic-parity-v3","depth":7,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d07-027","split":"train","variant":"clean"},"record_seed":1145567186775057686,"render_sha256":"161209385312bf42a236ea0f6f8625d83423c22c8c9501ac44157889e56c4c36","representation":"linear_trace","semantic_sha256":"64268e294a52bb79cb97ccd97cd92509170c014dff000174353e4663eb00f207"}
{"char_count":4157,"item_id":"train-d07-028::linear_trace","label":"TRUE","lexical_token_proxy_count":712,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_11a26f609f9c node_type=claim\nt=0001 CREATE_NODE id=n_7e087698861a node_type=claim\nt=0002 CREATE_NODE id=n_804a2f1f3c20 node_type=claim\nt=0003 CREATE_NODE id=n_8ee1046d020a node_type=claim\nt=0004 CREATE_NODE id=n_5074fc5d30eb node_type=claim\nt=0005 CREATE_NODE id=n_b848210188fd node_type=claim\nt=0006 CREATE_NODE id=n_6fcc6017e539 node_type=claim\nt=0007 CREATE_NODE id=n_f28a792f34e7 node_type=claim\nt=0008 CREATE_NODE id=n_533688b3c8bd node_type=claim\nt=0009 CREATE_NODE id=n_0449a986af91 node_type=claim\nt=0010 CREATE_NODE id=n_dc72db386140 node_type=claim\nt=0011 CREATE_NODE id=n_85fa36d6de46 node_type=claim\nt=0012 CREATE_NODE id=n_48093706dd00 node_type=claim\nt=0013 CREATE_NODE id=n_95e0befde30e node_type=claim\nt=0014 CREATE_NODE id=n_674fe05c844b node_type=claim\nt=0015 CREATE_NODE id=n_14121f9be010 node_type=claim\nt=0016 CREATE_NODE id=n_1273d695042a node_type=claim\nt=0017 CREATE_NODE id=n_1280a39f58d2 node_type=claim\nt=0018 CREATE_NODE id=n_18cfdd5e699f node_type=claim\nt=0019 CREATE_NODE id=n_00799a79a393 node_type=claim\nt=0020 CREATE_NODE id=n_54fc8036e486 node_type=claim\nt=0021 CREATE_NODE id=n_6231b85c01aa node_type=claim\nt=0022 CREATE_NODE id=n_0cdb90672e3d node_type=claim\nt=0023 CREATE_NODE id=n_ba3afcf649a4 node_type=claim\nt=0024 ASSERT_ROOT node=n_5074fc5d30eb value=TRUE\nt=0025 ADD_EDGE edge_id=e_12b4e1736a60 source=n_ba3afcf649a4 edge_type=supports target=n_85fa36d6de46\nt=0026 ADD_EDGE edge_id=e_c1a92fe11a21 source=n_804a2f1f3c20 edge_type=supports target=n_6231b85c01aa\nt=0027 ADD_EDGE edge_id=e_984c6d38b8f9 source=n_674fe05c844b edge_type=supports target=n_00799a79a393\nt=0028 ADD_EDGE edge_id=e_7a929fac0b8f source=n_14121f9be010 edge_type=supports target=n_6fcc6017e539\nt=0029 ADD_EDGE edge_id=e_a49c7189485a source=n_5074fc5d30eb edge_type=supports target=n_dc72db386140\nt=0030 ADD_EDGE edge_id=e_bd9d03a37e7c source=n_6fcc6017e539 edge_type=supports target=n_533688b3c8bd\nt=0031 ADD_EDGE edge_id=e_25fb83fa7515 source=n_ba3afcf649a4 edge_type=supports target=n_1280a39f58d2\nt=0032 ADD_EDGE edge_id=e_9b376a5de503 source=n_ba3afcf649a4 edge_type=refutes target=n_11a26f609f9c\nt=0033 ADD_EDGE edge_id=e_300a2bf2fba7 source=n_11a26f609f9c edge_type=supports target=n_8ee1046d020a\nt=0034 ADD_EDGE edge_id=e_97ff7802fe0e source=n_95e0befde30e edge_type=supports target=n_1273d695042a\nt=0035 ADD_EDGE edge_id=e_7a1258ed2495 source=n_dc72db386140 edge_type=refutes target=n_14121f9be010\nt=0036 ADD_EDGE edge_id=e_2aa81683c326 source=n_00799a79a393 edge_type=refutes target=n_0cdb90672e3d\nt=0037 ADD_EDGE edge_id=e_8c4be1b3eb9a source=n_6fcc6017e539 edge_type=refutes target=n_18cfdd5e699f\nt=0038 ADD_EDGE edge_id=e_6ef859d55e27 source=n_11a26f609f9c edge_type=refutes target=n_7e087698861a\nt=0039 ADD_EDGE edge_id=e_9a3de9cd5036 source=n_6fcc6017e539 edge_type=refutes target=n_b848210188fd\nt=0040 ADD_EDGE edge_id=e_795d1a16ccc8 source=n_85fa36d6de46 edge_type=refutes target=n_0449a986af91\nt=0041 ADD_EDGE edge_id=e_83689f069218 source=n_1280a39f58d2 edge_type=supports target=n_48093706dd00\nt=0042 ADD_EDGE edge_id=e_f1dcd6f3cf0d source=n_804a2f1f3c20 edge_type=refutes target=n_674fe05c844b\nt=0043 ADD_EDGE edge_id=e_3d86476ae078 source=n_18cfdd5e699f edge_type=refutes target=n_804a2f1f3c20\nt=0044 ADD_EDGE edge_id=e_171e11c9edc2 source=n_8ee1046d020a edge_type=supports target=n_54fc8036e486\nt=0045 ADD_EDGE edge_id=e_d7ae64edc575 source=n_ba3afcf649a4 edge_type=refutes target=n_95e0befde30e\nt=0046 ADD_EDGE edge_id=e_0857f7a30feb source=n_0449a986af91 edge_type=refutes target=n_f28a792f34e7\nt=0047 QUERY source=n_5074fc5d30eb target=n_00799a79a393\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2278,"provenance":{"base_record_id":"train-d07-028","dataset":"livegraph-deterministic-parity-v3","depth":7,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d07-028","split":"train","variant":"clean"},"record_seed":423787445726325703,"render_sha256":"ca49cccf04c102b58adf3ac5f107a051e1e7a024911ce2658d0ce33e2f0ff539","representation":"linear_trace","semantic_sha256":"6cd6f6025895a1869a8b7bc84331a0761f953da59e93ee8bbf01d00080191d2c"}
{"char_count":4157,"item_id":"train-d07-029::linear_trace","label":"FALSE","lexical_token_proxy_count":712,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_02e10ff0eca0 node_type=claim\nt=0001 CREATE_NODE id=n_45144218a855 node_type=claim\nt=0002 CREATE_NODE id=n_699acd321e53 node_type=claim\nt=0003 CREATE_NODE id=n_80a59bbaf1de node_type=claim\nt=0004 CREATE_NODE id=n_31a4dab55de3 node_type=claim\nt=0005 CREATE_NODE id=n_763211efea02 node_type=claim\nt=0006 CREATE_NODE id=n_9a83e997e4a5 node_type=claim\nt=0007 CREATE_NODE id=n_80a0611d263e node_type=claim\nt=0008 CREATE_NODE id=n_5a712b102b19 node_type=claim\nt=0009 CREATE_NODE id=n_36d81ed60103 node_type=claim\nt=0010 CREATE_NODE id=n_e9afc489be23 node_type=claim\nt=0011 CREATE_NODE id=n_63aeb02dc214 node_type=claim\nt=0012 CREATE_NODE id=n_47118ecbeba6 node_type=claim\nt=0013 CREATE_NODE id=n_8ab0ce9b087b node_type=claim\nt=0014 CREATE_NODE id=n_b12f75fb5e39 node_type=claim\nt=0015 CREATE_NODE id=n_17374ee28223 node_type=claim\nt=0016 CREATE_NODE id=n_4174d05b13d2 node_type=claim\nt=0017 CREATE_NODE id=n_eaf4ea001143 node_type=claim\nt=0018 CREATE_NODE id=n_826998f35fb0 node_type=claim\nt=0019 CREATE_NODE id=n_8fa6429a8eec node_type=claim\nt=0020 CREATE_NODE id=n_ad898a5d2a5e node_type=claim\nt=0021 CREATE_NODE id=n_3de44789f13f node_type=claim\nt=0022 CREATE_NODE id=n_c63c7da49ef5 node_type=claim\nt=0023 CREATE_NODE id=n_85a2493d0c07 node_type=claim\nt=0024 ASSERT_ROOT node=n_80a0611d263e value=TRUE\nt=0025 ADD_EDGE edge_id=e_74c9f2a3d431 source=n_80a0611d263e edge_type=supports target=n_45144218a855\nt=0026 ADD_EDGE edge_id=e_03fa30819c8c source=n_763211efea02 edge_type=refutes target=n_80a59bbaf1de\nt=0027 ADD_EDGE edge_id=e_958d6e6badd9 source=n_699acd321e53 edge_type=supports target=n_5a712b102b19\nt=0028 ADD_EDGE edge_id=e_4c1732a2cf13 source=n_80a59bbaf1de edge_type=refutes target=n_02e10ff0eca0\nt=0029 ADD_EDGE edge_id=e_dda974e8c6e8 source=n_8fa6429a8eec edge_type=refutes target=n_ad898a5d2a5e\nt=0030 ADD_EDGE edge_id=e_bbb285c4c8ff source=n_763211efea02 edge_type=refutes target=n_9a83e997e4a5\nt=0031 ADD_EDGE edge_id=e_8eaf58776585 source=n_763211efea02 edge_type=refutes target=n_b12f75fb5e39\nt=0032 ADD_EDGE edge_id=e_1afb048d0428 source=n_3de44789f13f edge_type=refutes target=n_699acd321e53\nt=0033 ADD_EDGE edge_id=e_3417d7422896 source=n_9a83e997e4a5 edge_type=supports target=n_4174d05b13d2\nt=0034 ADD_EDGE edge_id=e_df86d062bcfe source=n_5a712b102b19 edge_type=refutes target=n_36d81ed60103\nt=0035 ADD_EDGE edge_id=e_40e45c45dc78 source=n_31a4dab55de3 edge_type=supports target=n_3de44789f13f\nt=0036 ADD_EDGE edge_id=e_f490d1f1a1be source=n_45144218a855 edge_type=refutes target=n_8fa6429a8eec\nt=0037 ADD_EDGE edge_id=e_a84d7b63fbce source=n_80a59bbaf1de edge_type=supports target=n_63aeb02dc214\nt=0038 ADD_EDGE edge_id=e_27c62ebc3f1c source=n_ad898a5d2a5e edge_type=supports target=n_c63c7da49ef5\nt=0039 ADD_EDGE edge_id=e_0969a62cd36d source=n_ad898a5d2a5e edge_type=supports target=n_31a4dab55de3\nt=0040 ADD_EDGE edge_id=e_7f8ad46998e2 source=n_699acd321e53 edge_type=supports target=n_eaf4ea001143\nt=0041 ADD_EDGE edge_id=e_a22d3e56ea29 source=n_63aeb02dc214 edge_type=refutes target=n_17374ee28223\nt=0042 ADD_EDGE edge_id=e_0a1aa14ad264 source=n_63aeb02dc214 edge_type=supports target=n_e9afc489be23\nt=0043 ADD_EDGE edge_id=e_0e07c4fd99ef source=n_b12f75fb5e39 edge_type=refutes target=n_85a2493d0c07\nt=0044 ADD_EDGE edge_id=e_6efeababbccf source=n_763211efea02 edge_type=refutes target=n_47118ecbeba6\nt=0045 ADD_EDGE edge_id=e_23aed74b5829 source=n_763211efea02 edge_type=supports target=n_826998f35fb0\nt=0046 ADD_EDGE edge_id=e_38f87229ece6 source=n_ad898a5d2a5e edge_type=supports target=n_8ab0ce9b087b\nt=0047 QUERY source=n_80a0611d263e target=n_5a712b102b19\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2250,"provenance":{"base_record_id":"train-d07-029","dataset":"livegraph-deterministic-parity-v3","depth":7,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d07-029","split":"train","variant":"clean"},"record_seed":896030186869712364,"render_sha256":"a33dbf2d2433939451d15e5879eb0d638fc4001cfebdd227dd58968da65f73f3","representation":"linear_trace","semantic_sha256":"8dca34d72e66221c49b654cf2e3bfa8c2b0e9883d5029041eb81a9a938e0c712"}
{"char_count":4158,"item_id":"train-d07-030::linear_trace","label":"TRUE","lexical_token_proxy_count":712,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_1561b78181db node_type=claim\nt=0001 CREATE_NODE id=n_d0a9f9c073e7 node_type=claim\nt=0002 CREATE_NODE id=n_4e2ea8886b29 node_type=claim\nt=0003 CREATE_NODE id=n_9c3692542da8 node_type=claim\nt=0004 CREATE_NODE id=n_bc6897b3f2e7 node_type=claim\nt=0005 CREATE_NODE id=n_37a2ce695d97 node_type=claim\nt=0006 CREATE_NODE id=n_27289e6ea4c1 node_type=claim\nt=0007 CREATE_NODE id=n_6815b142a896 node_type=claim\nt=0008 CREATE_NODE id=n_8110bb1cbf4d node_type=claim\nt=0009 CREATE_NODE id=n_afb05d50e0b1 node_type=claim\nt=0010 CREATE_NODE id=n_71d232693d86 node_type=claim\nt=0011 CREATE_NODE id=n_6d4181802497 node_type=claim\nt=0012 CREATE_NODE id=n_d1ef7e145927 node_type=claim\nt=0013 CREATE_NODE id=n_4154b503d83f node_type=claim\nt=0014 CREATE_NODE id=n_c0059e505449 node_type=claim\nt=0015 CREATE_NODE id=n_52a1112e5444 node_type=claim\nt=0016 CREATE_NODE id=n_ff9ed87d9680 node_type=claim\nt=0017 CREATE_NODE id=n_555c5e841802 node_type=claim\nt=0018 CREATE_NODE id=n_9e5590c7ea5a node_type=claim\nt=0019 CREATE_NODE id=n_52908ba697ed node_type=claim\nt=0020 CREATE_NODE id=n_69f8aca93a8a node_type=claim\nt=0021 CREATE_NODE id=n_ac554c45b800 node_type=claim\nt=0022 CREATE_NODE id=n_000c923b5a10 node_type=claim\nt=0023 CREATE_NODE id=n_0365751da63d node_type=claim\nt=0024 ASSERT_ROOT node=n_555c5e841802 value=FALSE\nt=0025 ADD_EDGE edge_id=e_6e1b5ab90f0f source=n_555c5e841802 edge_type=supports target=n_52908ba697ed\nt=0026 ADD_EDGE edge_id=e_d8cf52ea4927 source=n_71d232693d86 edge_type=refutes target=n_c0059e505449\nt=0027 ADD_EDGE edge_id=e_bb59a71b7c97 source=n_d0a9f9c073e7 edge_type=supports target=n_37a2ce695d97\nt=0028 ADD_EDGE edge_id=e_a88338ff161f source=n_8110bb1cbf4d edge_type=supports target=n_6815b142a896\nt=0029 ADD_EDGE edge_id=e_c899c4a597b4 source=n_6815b142a896 edge_type=refutes target=n_9c3692542da8\nt=0030 ADD_EDGE edge_id=e_d169713447bf source=n_37a2ce695d97 edge_type=refutes target=n_1561b78181db\nt=0031 ADD_EDGE edge_id=e_2100f9c2a534 source=n_d0a9f9c073e7 edge_type=refutes target=n_71d232693d86\nt=0032 ADD_EDGE edge_id=e_9b73ab9829d2 source=n_9c3692542da8 edge_type=supports target=n_ff9ed87d9680\nt=0033 ADD_EDGE edge_id=e_4565763ece70 source=n_6d4181802497 edge_type=refutes target=n_69f8aca93a8a\nt=0034 ADD_EDGE edge_id=e_002794e34c86 source=n_52908ba697ed edge_type=refutes target=n_000c923b5a10\nt=0035 ADD_EDGE edge_id=e_7d74e649be50 source=n_9e5590c7ea5a edge_type=supports target=n_0365751da63d\nt=0036 ADD_EDGE edge_id=e_420858f58fa4 source=n_c0059e505449 edge_type=refutes target=n_52a1112e5444\nt=0037 ADD_EDGE edge_id=e_e3536824f091 source=n_9e5590c7ea5a edge_type=supports target=n_d1ef7e145927\nt=0038 ADD_EDGE edge_id=e_8f0c7b6a2efc source=n_555c5e841802 edge_type=supports target=n_4154b503d83f\nt=0039 ADD_EDGE edge_id=e_363cf7c23dad source=n_d1ef7e145927 edge_type=refutes target=n_8110bb1cbf4d\nt=0040 ADD_EDGE edge_id=e_0f7d3e23a97d source=n_000c923b5a10 edge_type=supports target=n_9e5590c7ea5a\nt=0041 ADD_EDGE edge_id=e_a794d50d4bce source=n_c0059e505449 edge_type=supports target=n_bc6897b3f2e7\nt=0042 ADD_EDGE edge_id=e_aba62ebaaf44 source=n_555c5e841802 edge_type=refutes target=n_4e2ea8886b29\nt=0043 ADD_EDGE edge_id=e_d27dd3e0f037 source=n_71d232693d86 edge_type=refutes target=n_afb05d50e0b1\nt=0044 ADD_EDGE edge_id=e_f211b11652ed source=n_6d4181802497 edge_type=supports target=n_d0a9f9c073e7\nt=0045 ADD_EDGE edge_id=e_8c0abcbb2183 source=n_71d232693d86 edge_type=refutes target=n_27289e6ea4c1\nt=0046 ADD_EDGE edge_id=e_ad06cf5db1d4 source=n_c0059e505449 edge_type=supports target=n_ac554c45b800\nt=0047 QUERY source=n_555c5e841802 target=n_9c3692542da8\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2308,"provenance":{"base_record_id":"train-d07-030","dataset":"livegraph-deterministic-parity-v3","depth":7,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d07-030","split":"train","variant":"clean"},"record_seed":745496933849716532,"render_sha256":"618926a376bb1d1f64fc9a18971d6e0512e3b4876edd6527d7ebc75ebdb3ffb6","representation":"linear_trace","semantic_sha256":"686e75f8e687a9f42b9036ecfc4cb1fe836bec33e812576efbd7a3ac891f8960"}
{"char_count":4158,"item_id":"train-d07-031::linear_trace","label":"FALSE","lexical_token_proxy_count":712,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_6fd7b821413c node_type=claim\nt=0001 CREATE_NODE id=n_090d8d962f29 node_type=claim\nt=0002 CREATE_NODE id=n_dd9ad731139e node_type=claim\nt=0003 CREATE_NODE id=n_632f0233fdba node_type=claim\nt=0004 CREATE_NODE id=n_15053eea6d7a node_type=claim\nt=0005 CREATE_NODE id=n_3f9b84264014 node_type=claim\nt=0006 CREATE_NODE id=n_51b4de7da0b5 node_type=claim\nt=0007 CREATE_NODE id=n_b76f2f1b73bc node_type=claim\nt=0008 CREATE_NODE id=n_10676b706b30 node_type=claim\nt=0009 CREATE_NODE id=n_ba8c565c4f53 node_type=claim\nt=0010 CREATE_NODE id=n_b48cb1d746f9 node_type=claim\nt=0011 CREATE_NODE id=n_b2a5cab163db node_type=claim\nt=0012 CREATE_NODE id=n_7c2193214094 node_type=claim\nt=0013 CREATE_NODE id=n_ec0dbe6087dd node_type=claim\nt=0014 CREATE_NODE id=n_4d41e45ae391 node_type=claim\nt=0015 CREATE_NODE id=n_61b8fa3e999f node_type=claim\nt=0016 CREATE_NODE id=n_5196056fc129 node_type=claim\nt=0017 CREATE_NODE id=n_2f7df4f4ea06 node_type=claim\nt=0018 CREATE_NODE id=n_c2cc98f75dae node_type=claim\nt=0019 CREATE_NODE id=n_9e79655663ba node_type=claim\nt=0020 CREATE_NODE id=n_d1eabfb92f24 node_type=claim\nt=0021 CREATE_NODE id=n_f20590daeac2 node_type=claim\nt=0022 CREATE_NODE id=n_d6dd0dc50f17 node_type=claim\nt=0023 CREATE_NODE id=n_44d59ac110a4 node_type=claim\nt=0024 ASSERT_ROOT node=n_6fd7b821413c value=FALSE\nt=0025 ADD_EDGE edge_id=e_d36ff1898c88 source=n_b48cb1d746f9 edge_type=refutes target=n_10676b706b30\nt=0026 ADD_EDGE edge_id=e_7535ab07f6a6 source=n_c2cc98f75dae edge_type=supports target=n_b2a5cab163db\nt=0027 ADD_EDGE edge_id=e_34dbaa00cc7c source=n_6fd7b821413c edge_type=refutes target=n_4d41e45ae391\nt=0028 ADD_EDGE edge_id=e_ef754c8c6fde source=n_d1eabfb92f24 edge_type=refutes target=n_d6dd0dc50f17\nt=0029 ADD_EDGE edge_id=e_0e950613fc7d source=n_b2a5cab163db edge_type=supports target=n_090d8d962f29\nt=0030 ADD_EDGE edge_id=e_27f256ff90d2 source=n_dd9ad731139e edge_type=refutes target=n_d1eabfb92f24\nt=0031 ADD_EDGE edge_id=e_4c62206dcea1 source=n_b48cb1d746f9 edge_type=supports target=n_9e79655663ba\nt=0032 ADD_EDGE edge_id=e_ba84782bd9fb source=n_d6dd0dc50f17 edge_type=supports target=n_3f9b84264014\nt=0033 ADD_EDGE edge_id=e_f83339e07d6c source=n_2f7df4f4ea06 edge_type=refutes target=n_dd9ad731139e\nt=0034 ADD_EDGE edge_id=e_dfc2c800d0dd source=n_dd9ad731139e edge_type=supports target=n_51b4de7da0b5\nt=0035 ADD_EDGE edge_id=e_7a786ffad06e source=n_b2a5cab163db edge_type=refutes target=n_2f7df4f4ea06\nt=0036 ADD_EDGE edge_id=e_874b3030b6af source=n_44d59ac110a4 edge_type=refutes target=n_ec0dbe6087dd\nt=0037 ADD_EDGE edge_id=e_2e60a8883b65 source=n_10676b706b30 edge_type=supports target=n_7c2193214094\nt=0038 ADD_EDGE edge_id=e_d7f5e1e0570d source=n_b76f2f1b73bc edge_type=refutes target=n_632f0233fdba\nt=0039 ADD_EDGE edge_id=e_fe9e28ca15a8 source=n_b76f2f1b73bc edge_type=supports target=n_f20590daeac2\nt=0040 ADD_EDGE edge_id=e_30967350fb15 source=n_ba8c565c4f53 edge_type=supports target=n_b48cb1d746f9\nt=0041 ADD_EDGE edge_id=e_b4cf8b774916 source=n_ba8c565c4f53 edge_type=supports target=n_5196056fc129\nt=0042 ADD_EDGE edge_id=e_12c987e6d0e8 source=n_ba8c565c4f53 edge_type=supports target=n_15053eea6d7a\nt=0043 ADD_EDGE edge_id=e_7441451c1cf2 source=n_4d41e45ae391 edge_type=refutes target=n_c2cc98f75dae\nt=0044 ADD_EDGE edge_id=e_f04f37beeb0a source=n_b76f2f1b73bc edge_type=refutes target=n_44d59ac110a4\nt=0045 ADD_EDGE edge_id=e_b35dea3e8b1e source=n_ba8c565c4f53 edge_type=refutes target=n_b76f2f1b73bc\nt=0046 ADD_EDGE edge_id=e_c1b36cbf6628 source=n_4d41e45ae391 edge_type=supports target=n_61b8fa3e999f\nt=0047 QUERY source=n_6fd7b821413c target=n_d6dd0dc50f17\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2257,"provenance":{"base_record_id":"train-d07-031","dataset":"livegraph-deterministic-parity-v3","depth":7,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d07-031","split":"train","variant":"clean"},"record_seed":791466806882420215,"render_sha256":"5fc49c26c991dc963542ae0c08df974a5b1c2b5c38e444db0e8157bb06f7257e","representation":"linear_trace","semantic_sha256":"106632fcd1a05fe37b4eaed00d732c970224607f08ea1f7c07ef49b2d2b23a7d"}
{"char_count":4157,"item_id":"train-d07-032::linear_trace","label":"TRUE","lexical_token_proxy_count":712,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_35abb43ea2ea node_type=claim\nt=0001 CREATE_NODE id=n_3ee1b62f1598 node_type=claim\nt=0002 CREATE_NODE id=n_da3e71923cc4 node_type=claim\nt=0003 CREATE_NODE id=n_646ac89a1752 node_type=claim\nt=0004 CREATE_NODE id=n_7e0673a7de25 node_type=claim\nt=0005 CREATE_NODE id=n_2a6d13c5aa49 node_type=claim\nt=0006 CREATE_NODE id=n_14494dab5df6 node_type=claim\nt=0007 CREATE_NODE id=n_35cc1fcf3228 node_type=claim\nt=0008 CREATE_NODE id=n_8b617c367df1 node_type=claim\nt=0009 CREATE_NODE id=n_1887b45be522 node_type=claim\nt=0010 CREATE_NODE id=n_1a6050fc15eb node_type=claim\nt=0011 CREATE_NODE id=n_5da9d1380ab3 node_type=claim\nt=0012 CREATE_NODE id=n_5e91f11039f4 node_type=claim\nt=0013 CREATE_NODE id=n_d3fedc609335 node_type=claim\nt=0014 CREATE_NODE id=n_d51339997e8c node_type=claim\nt=0015 CREATE_NODE id=n_4fe8a8a2df36 node_type=claim\nt=0016 CREATE_NODE id=n_72e9f0af2b6d node_type=claim\nt=0017 CREATE_NODE id=n_896dee4e6587 node_type=claim\nt=0018 CREATE_NODE id=n_f48a26cbb11a node_type=claim\nt=0019 CREATE_NODE id=n_e857a2eb460d node_type=claim\nt=0020 CREATE_NODE id=n_fd87ead8d28c node_type=claim\nt=0021 CREATE_NODE id=n_fc6fa39fb10c node_type=claim\nt=0022 CREATE_NODE id=n_132beffec84f node_type=claim\nt=0023 CREATE_NODE id=n_b29c07f57df6 node_type=claim\nt=0024 ASSERT_ROOT node=n_132beffec84f value=TRUE\nt=0025 ADD_EDGE edge_id=e_6b5207f1c51e source=n_e857a2eb460d edge_type=refutes target=n_2a6d13c5aa49\nt=0026 ADD_EDGE edge_id=e_943ec4c9cdf6 source=n_4fe8a8a2df36 edge_type=supports target=n_5e91f11039f4\nt=0027 ADD_EDGE edge_id=e_80a13ab13422 source=n_7e0673a7de25 edge_type=supports target=n_8b617c367df1\nt=0028 ADD_EDGE edge_id=e_55c7fe35baa6 source=n_da3e71923cc4 edge_type=supports target=n_e857a2eb460d\nt=0029 ADD_EDGE edge_id=e_3373c9583eb9 source=n_b29c07f57df6 edge_type=supports target=n_1a6050fc15eb\nt=0030 ADD_EDGE edge_id=e_5893c596a028 source=n_35cc1fcf3228 edge_type=supports target=n_5da9d1380ab3\nt=0031 ADD_EDGE edge_id=e_8b50b472c4e1 source=n_d51339997e8c edge_type=supports target=n_fd87ead8d28c\nt=0032 ADD_EDGE edge_id=e_0962dfe81bdf source=n_4fe8a8a2df36 edge_type=refutes target=n_1887b45be522\nt=0033 ADD_EDGE edge_id=e_58eee06e0fb6 source=n_646ac89a1752 edge_type=supports target=n_35abb43ea2ea\nt=0034 ADD_EDGE edge_id=e_5a40dd4d7284 source=n_3ee1b62f1598 edge_type=refutes target=n_896dee4e6587\nt=0035 ADD_EDGE edge_id=e_e1570dab9d48 source=n_132beffec84f edge_type=refutes target=n_d3fedc609335\nt=0036 ADD_EDGE edge_id=e_0dbcf7d908be source=n_e857a2eb460d edge_type=supports target=n_d51339997e8c\nt=0037 ADD_EDGE edge_id=e_6acbd81cb142 source=n_7e0673a7de25 edge_type=refutes target=n_b29c07f57df6\nt=0038 ADD_EDGE edge_id=e_bebe471648af source=n_d51339997e8c edge_type=refutes target=n_4fe8a8a2df36\nt=0039 ADD_EDGE edge_id=e_1cd5c547ff6e source=n_35abb43ea2ea edge_type=refutes target=n_da3e71923cc4\nt=0040 ADD_EDGE edge_id=e_87774e2e2b79 source=n_d3fedc609335 edge_type=refutes target=n_646ac89a1752\nt=0041 ADD_EDGE edge_id=e_4a6ab9f98c65 source=n_b29c07f57df6 edge_type=supports target=n_72e9f0af2b6d\nt=0042 ADD_EDGE edge_id=e_2ec6e880dbaa source=n_1a6050fc15eb edge_type=refutes target=n_fc6fa39fb10c\nt=0043 ADD_EDGE edge_id=e_ad47a867b35f source=n_7e0673a7de25 edge_type=supports target=n_35cc1fcf3228\nt=0044 ADD_EDGE edge_id=e_48a79089b9fc source=n_35cc1fcf3228 edge_type=supports target=n_14494dab5df6\nt=0045 ADD_EDGE edge_id=e_2b208a29f444 source=n_35cc1fcf3228 edge_type=refutes target=n_3ee1b62f1598\nt=0046 ADD_EDGE edge_id=e_31d6f2b140da source=n_7e0673a7de25 edge_type=refutes target=n_f48a26cbb11a\nt=0047 QUERY source=n_132beffec84f target=n_4fe8a8a2df36\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2233,"provenance":{"base_record_id":"train-d07-032","dataset":"livegraph-deterministic-parity-v3","depth":7,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d07-032","split":"train","variant":"clean"},"record_seed":607309637799415080,"render_sha256":"312f048ac31b6bd2c2963ed442ff3fe28ef9b473b5db5c27bc19362f9ec2ffd5","representation":"linear_trace","semantic_sha256":"ea26ba950085102c1b5eedbc2eba1bf6acc081dad78d0947c519744902fad396"}
{"char_count":4157,"item_id":"train-d07-033::linear_trace","label":"FALSE","lexical_token_proxy_count":712,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_6e4a5ca4cb55 node_type=claim\nt=0001 CREATE_NODE id=n_c99e63faf487 node_type=claim\nt=0002 CREATE_NODE id=n_1ef91e48a9a6 node_type=claim\nt=0003 CREATE_NODE id=n_b2fc87ff740f node_type=claim\nt=0004 CREATE_NODE id=n_38517a00228e node_type=claim\nt=0005 CREATE_NODE id=n_d4b70032f8c2 node_type=claim\nt=0006 CREATE_NODE id=n_18a880f1450a node_type=claim\nt=0007 CREATE_NODE id=n_d485b236e5f0 node_type=claim\nt=0008 CREATE_NODE id=n_f35e516fe68f node_type=claim\nt=0009 CREATE_NODE id=n_85a675eadebd node_type=claim\nt=0010 CREATE_NODE id=n_15d7851756f9 node_type=claim\nt=0011 CREATE_NODE id=n_5810f7dc2199 node_type=claim\nt=0012 CREATE_NODE id=n_a791f8bf316b node_type=claim\nt=0013 CREATE_NODE id=n_8a96d26aec9c node_type=claim\nt=0014 CREATE_NODE id=n_b92027a2edf7 node_type=claim\nt=0015 CREATE_NODE id=n_567d5895af3a node_type=claim\nt=0016 CREATE_NODE id=n_decdc7fad288 node_type=claim\nt=0017 CREATE_NODE id=n_890144645ad1 node_type=claim\nt=0018 CREATE_NODE id=n_6d13e5a8a290 node_type=claim\nt=0019 CREATE_NODE id=n_02a98d350874 node_type=claim\nt=0020 CREATE_NODE id=n_9a98c7cc3b18 node_type=claim\nt=0021 CREATE_NODE id=n_3c05ec2b8d9b node_type=claim\nt=0022 CREATE_NODE id=n_9f1ca94c418d node_type=claim\nt=0023 CREATE_NODE id=n_e8fc3b2b828d node_type=claim\nt=0024 ASSERT_ROOT node=n_c99e63faf487 value=TRUE\nt=0025 ADD_EDGE edge_id=e_79507143990e source=n_f35e516fe68f edge_type=refutes target=n_567d5895af3a\nt=0026 ADD_EDGE edge_id=e_d943a19c08d6 source=n_890144645ad1 edge_type=supports target=n_d4b70032f8c2\nt=0027 ADD_EDGE edge_id=e_c541d87dbd52 source=n_890144645ad1 edge_type=refutes target=n_b2fc87ff740f\nt=0028 ADD_EDGE edge_id=e_ea559b6bdf45 source=n_6e4a5ca4cb55 edge_type=refutes target=n_f35e516fe68f\nt=0029 ADD_EDGE edge_id=e_6ea5efab3037 source=n_567d5895af3a edge_type=refutes target=n_d485b236e5f0\nt=0030 ADD_EDGE edge_id=e_4897a9585529 source=n_9f1ca94c418d edge_type=refutes target=n_9a98c7cc3b18\nt=0031 ADD_EDGE edge_id=e_a620e063477f source=n_9a98c7cc3b18 edge_type=refutes target=n_e8fc3b2b828d\nt=0032 ADD_EDGE edge_id=e_b26acd2bb880 source=n_8a96d26aec9c edge_type=supports target=n_85a675eadebd\nt=0033 ADD_EDGE edge_id=e_78c40cb95d3e source=n_6d13e5a8a290 edge_type=refutes target=n_1ef91e48a9a6\nt=0034 ADD_EDGE edge_id=e_e1a003d19b00 source=n_d4b70032f8c2 edge_type=refutes target=n_6d13e5a8a290\nt=0035 ADD_EDGE edge_id=e_7adf92f9689d source=n_18a880f1450a edge_type=supports target=n_02a98d350874\nt=0036 ADD_EDGE edge_id=e_02c6ac9aa630 source=n_c99e63faf487 edge_type=supports target=n_decdc7fad288\nt=0037 ADD_EDGE edge_id=e_a42985fe6c58 source=n_e8fc3b2b828d edge_type=supports target=n_6e4a5ca4cb55\nt=0038 ADD_EDGE edge_id=e_d58bd5c23768 source=n_c99e63faf487 edge_type=refutes target=n_38517a00228e\nt=0039 ADD_EDGE edge_id=e_f99af438c466 source=n_9a98c7cc3b18 edge_type=supports target=n_15d7851756f9\nt=0040 ADD_EDGE edge_id=e_a8ac89369e1d source=n_890144645ad1 edge_type=supports target=n_8a96d26aec9c\nt=0041 ADD_EDGE edge_id=e_9d722ca0a3f5 source=n_567d5895af3a edge_type=supports target=n_3c05ec2b8d9b\nt=0042 ADD_EDGE edge_id=e_7069b84446cf source=n_d4b70032f8c2 edge_type=refutes target=n_a791f8bf316b\nt=0043 ADD_EDGE edge_id=e_94c38a467c81 source=n_890144645ad1 edge_type=refutes target=n_18a880f1450a\nt=0044 ADD_EDGE edge_id=e_59f41721aaaa source=n_890144645ad1 edge_type=supports target=n_5810f7dc2199\nt=0045 ADD_EDGE edge_id=e_28383c69dd9b source=n_c99e63faf487 edge_type=supports target=n_9f1ca94c418d\nt=0046 ADD_EDGE edge_id=e_823d77a95b61 source=n_1ef91e48a9a6 edge_type=supports target=n_b92027a2edf7\nt=0047 QUERY source=n_c99e63faf487 target=n_d485b236e5f0\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2281,"provenance":{"base_record_id":"train-d07-033","dataset":"livegraph-deterministic-parity-v3","depth":7,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d07-033","split":"train","variant":"clean"},"record_seed":273728049389676453,"render_sha256":"849f130d7207f741a6b176f55e928dc6a8bb1456d8626dac70ee73580026019a","representation":"linear_trace","semantic_sha256":"dffca606c3db2527d5601e875a43770b673bbcede15a77db432a88fab0ec499f"}
{"char_count":4158,"item_id":"train-d07-034::linear_trace","label":"TRUE","lexical_token_proxy_count":712,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_3bc63ea4d940 node_type=claim\nt=0001 CREATE_NODE id=n_42d43ef687c8 node_type=claim\nt=0002 CREATE_NODE id=n_4b9727d84712 node_type=claim\nt=0003 CREATE_NODE id=n_2baaeae3c051 node_type=claim\nt=0004 CREATE_NODE id=n_602af167cad3 node_type=claim\nt=0005 CREATE_NODE id=n_95ce1a3d2faf node_type=claim\nt=0006 CREATE_NODE id=n_4597007eb60f node_type=claim\nt=0007 CREATE_NODE id=n_9a2eae6c6798 node_type=claim\nt=0008 CREATE_NODE id=n_eb1f32e568d3 node_type=claim\nt=0009 CREATE_NODE id=n_aa564a26b3d9 node_type=claim\nt=0010 CREATE_NODE id=n_f5de63f6593f node_type=claim\nt=0011 CREATE_NODE id=n_c59653e582b8 node_type=claim\nt=0012 CREATE_NODE id=n_1937768e9a68 node_type=claim\nt=0013 CREATE_NODE id=n_e6dcf74e2613 node_type=claim\nt=0014 CREATE_NODE id=n_cffd78239b43 node_type=claim\nt=0015 CREATE_NODE id=n_c2e4ba6ca496 node_type=claim\nt=0016 CREATE_NODE id=n_1d9881c41553 node_type=claim\nt=0017 CREATE_NODE id=n_390dd18be697 node_type=claim\nt=0018 CREATE_NODE id=n_b8c1005dd540 node_type=claim\nt=0019 CREATE_NODE id=n_45c9c31764ea node_type=claim\nt=0020 CREATE_NODE id=n_617065577862 node_type=claim\nt=0021 CREATE_NODE id=n_188a355641f9 node_type=claim\nt=0022 CREATE_NODE id=n_ba240c03fd22 node_type=claim\nt=0023 CREATE_NODE id=n_3aaaa83205e5 node_type=claim\nt=0024 ASSERT_ROOT node=n_f5de63f6593f value=FALSE\nt=0025 ADD_EDGE edge_id=e_4fd230d8dfdd source=n_45c9c31764ea edge_type=refutes target=n_aa564a26b3d9\nt=0026 ADD_EDGE edge_id=e_16558290fdac source=n_e6dcf74e2613 edge_type=supports target=n_188a355641f9\nt=0027 ADD_EDGE edge_id=e_1fe9f386479f source=n_c2e4ba6ca496 edge_type=supports target=n_45c9c31764ea\nt=0028 ADD_EDGE edge_id=e_64aaebcd8ea2 source=n_c59653e582b8 edge_type=refutes target=n_cffd78239b43\nt=0029 ADD_EDGE edge_id=e_055dec50a428 source=n_1937768e9a68 edge_type=refutes target=n_eb1f32e568d3\nt=0030 ADD_EDGE edge_id=e_68ab2fe35dfa source=n_2baaeae3c051 edge_type=supports target=n_4b9727d84712\nt=0031 ADD_EDGE edge_id=e_7ba9f2811544 source=n_c2e4ba6ca496 edge_type=refutes target=n_3bc63ea4d940\nt=0032 ADD_EDGE edge_id=e_85a45143ba99 source=n_c2e4ba6ca496 edge_type=refutes target=n_42d43ef687c8\nt=0033 ADD_EDGE edge_id=e_8a17efa8f3a4 source=n_9a2eae6c6798 edge_type=refutes target=n_ba240c03fd22\nt=0034 ADD_EDGE edge_id=e_da63ea6ae33a source=n_1937768e9a68 edge_type=supports target=n_617065577862\nt=0035 ADD_EDGE edge_id=e_c1574f0b6967 source=n_9a2eae6c6798 edge_type=supports target=n_1d9881c41553\nt=0036 ADD_EDGE edge_id=e_5b886347fa59 source=n_b8c1005dd540 edge_type=refutes target=n_e6dcf74e2613\nt=0037 ADD_EDGE edge_id=e_4431b844afae source=n_1d9881c41553 edge_type=supports target=n_602af167cad3\nt=0038 ADD_EDGE edge_id=e_81f73cf1eb2b source=n_cffd78239b43 edge_type=refutes target=n_1937768e9a68\nt=0039 ADD_EDGE edge_id=e_9d946c3117bc source=n_c59653e582b8 edge_type=supports target=n_95ce1a3d2faf\nt=0040 ADD_EDGE edge_id=e_9f0eac210f12 source=n_95ce1a3d2faf edge_type=refutes target=n_4597007eb60f\nt=0041 ADD_EDGE edge_id=e_7cd05f7a02f0 source=n_188a355641f9 edge_type=refutes target=n_c2e4ba6ca496\nt=0042 ADD_EDGE edge_id=e_f981a297dcf1 source=n_9a2eae6c6798 edge_type=supports target=n_c59653e582b8\nt=0043 ADD_EDGE edge_id=e_719da06e9490 source=n_602af167cad3 edge_type=supports target=n_3aaaa83205e5\nt=0044 ADD_EDGE edge_id=e_e854ae6e6d17 source=n_4b9727d84712 edge_type=refutes target=n_b8c1005dd540\nt=0045 ADD_EDGE edge_id=e_56951fd67e5d source=n_f5de63f6593f edge_type=supports target=n_2baaeae3c051\nt=0046 ADD_EDGE edge_id=e_6b5ba1dabe97 source=n_45c9c31764ea edge_type=supports target=n_390dd18be697\nt=0047 QUERY source=n_f5de63f6593f target=n_45c9c31764ea\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2256,"provenance":{"base_record_id":"train-d07-034","dataset":"livegraph-deterministic-parity-v3","depth":7,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d07-034","split":"train","variant":"clean"},"record_seed":903843352478521744,"render_sha256":"619d8396e12c96947367a1632e7ee474d25f0c4fc813bbfa1fd576fc06922fc7","representation":"linear_trace","semantic_sha256":"b6ed024165e9263b495241877020ee2131b194aafbb9bbde53975ec7130a56c8"}
{"char_count":4158,"item_id":"train-d07-035::linear_trace","label":"FALSE","lexical_token_proxy_count":712,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_f2a7555b6376 node_type=claim\nt=0001 CREATE_NODE id=n_85fc8530cf26 node_type=claim\nt=0002 CREATE_NODE id=n_a863851c56d3 node_type=claim\nt=0003 CREATE_NODE id=n_504cb47f42a0 node_type=claim\nt=0004 CREATE_NODE id=n_96f60a4e8444 node_type=claim\nt=0005 CREATE_NODE id=n_d4b090c5219a node_type=claim\nt=0006 CREATE_NODE id=n_a2652b490c21 node_type=claim\nt=0007 CREATE_NODE id=n_1c0c0451c4eb node_type=claim\nt=0008 CREATE_NODE id=n_3bc800536b19 node_type=claim\nt=0009 CREATE_NODE id=n_089f91a78241 node_type=claim\nt=0010 CREATE_NODE id=n_167b3d144298 node_type=claim\nt=0011 CREATE_NODE id=n_ae102ac3a72f node_type=claim\nt=0012 CREATE_NODE id=n_81218d3c22e5 node_type=claim\nt=0013 CREATE_NODE id=n_8a6932f83615 node_type=claim\nt=0014 CREATE_NODE id=n_c83e12195c51 node_type=claim\nt=0015 CREATE_NODE id=n_f4ee188dc4eb node_type=claim\nt=0016 CREATE_NODE id=n_22ba14023279 node_type=claim\nt=0017 CREATE_NODE id=n_8ffcdc7106ac node_type=claim\nt=0018 CREATE_NODE id=n_2a301fc47f06 node_type=claim\nt=0019 CREATE_NODE id=n_f18e83a7f0b9 node_type=claim\nt=0020 CREATE_NODE id=n_1972a5a7addc node_type=claim\nt=0021 CREATE_NODE id=n_b641bcc0e9fc node_type=claim\nt=0022 CREATE_NODE id=n_a247d3bd5b2d node_type=claim\nt=0023 CREATE_NODE id=n_449ae9b7bc2e node_type=claim\nt=0024 ASSERT_ROOT node=n_f4ee188dc4eb value=FALSE\nt=0025 ADD_EDGE edge_id=e_a78eb1848373 source=n_22ba14023279 edge_type=refutes target=n_f2a7555b6376\nt=0026 ADD_EDGE edge_id=e_0585550cba40 source=n_ae102ac3a72f edge_type=refutes target=n_1972a5a7addc\nt=0027 ADD_EDGE edge_id=e_3ff4fee8912b source=n_a2652b490c21 edge_type=supports target=n_c83e12195c51\nt=0028 ADD_EDGE edge_id=e_e6eca177c031 source=n_85fc8530cf26 edge_type=supports target=n_8a6932f83615\nt=0029 ADD_EDGE edge_id=e_2f25fe2a5466 source=n_b641bcc0e9fc edge_type=refutes target=n_8ffcdc7106ac\nt=0030 ADD_EDGE edge_id=e_e2079301bb45 source=n_2a301fc47f06 edge_type=refutes target=n_96f60a4e8444\nt=0031 ADD_EDGE edge_id=e_90c5c7f8ad09 source=n_22ba14023279 edge_type=refutes target=n_81218d3c22e5\nt=0032 ADD_EDGE edge_id=e_f07e31eee6db source=n_2a301fc47f06 edge_type=supports target=n_ae102ac3a72f\nt=0033 ADD_EDGE edge_id=e_f4d9d301566b source=n_f18e83a7f0b9 edge_type=supports target=n_a863851c56d3\nt=0034 ADD_EDGE edge_id=e_fc7fbe4f6d47 source=n_449ae9b7bc2e edge_type=refutes target=n_f18e83a7f0b9\nt=0035 ADD_EDGE edge_id=e_7ff11bacde5c source=n_1c0c0451c4eb edge_type=supports target=n_85fc8530cf26\nt=0036 ADD_EDGE edge_id=e_51dfdc124a09 source=n_f4ee188dc4eb edge_type=supports target=n_449ae9b7bc2e\nt=0037 ADD_EDGE edge_id=e_74262b68f9b0 source=n_a863851c56d3 edge_type=refutes target=n_b641bcc0e9fc\nt=0038 ADD_EDGE edge_id=e_45866c29bfa3 source=n_167b3d144298 edge_type=refutes target=n_a247d3bd5b2d\nt=0039 ADD_EDGE edge_id=e_106423d57869 source=n_449ae9b7bc2e edge_type=refutes target=n_089f91a78241\nt=0040 ADD_EDGE edge_id=e_65aa8528e2e3 source=n_22ba14023279 edge_type=supports target=n_1c0c0451c4eb\nt=0041 ADD_EDGE edge_id=e_86f16e744cd2 source=n_f2a7555b6376 edge_type=supports target=n_a2652b490c21\nt=0042 ADD_EDGE edge_id=e_314e060b5e1c source=n_a2652b490c21 edge_type=supports target=n_3bc800536b19\nt=0043 ADD_EDGE edge_id=e_898ed538a780 source=n_f4ee188dc4eb edge_type=refutes target=n_504cb47f42a0\nt=0044 ADD_EDGE edge_id=e_709c4d47bff9 source=n_b641bcc0e9fc edge_type=refutes target=n_2a301fc47f06\nt=0045 ADD_EDGE edge_id=e_e5e99f5c160e source=n_f2a7555b6376 edge_type=supports target=n_d4b090c5219a\nt=0046 ADD_EDGE edge_id=e_b85e2065953e source=n_a2652b490c21 edge_type=supports target=n_167b3d144298\nt=0047 QUERY source=n_f4ee188dc4eb target=n_1972a5a7addc\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2280,"provenance":{"base_record_id":"train-d07-035","dataset":"livegraph-deterministic-parity-v3","depth":7,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d07-035","split":"train","variant":"clean"},"record_seed":68175196960380588,"render_sha256":"9e5771adcb35e28767b4cc7a5da09ba32dde545b0be7b103f4051ad77bfea9aa","representation":"linear_trace","semantic_sha256":"a3c0a6e8158b0f14be0966802a7f02e16e5535695b44ee4be401671ff6da2dab"}
{"char_count":4157,"item_id":"train-d07-036::linear_trace","label":"TRUE","lexical_token_proxy_count":712,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_e68838f0b1f7 node_type=claim\nt=0001 CREATE_NODE id=n_e78b0a7c611f node_type=claim\nt=0002 CREATE_NODE id=n_9f825e88fdd2 node_type=claim\nt=0003 CREATE_NODE id=n_608cd74d82a6 node_type=claim\nt=0004 CREATE_NODE id=n_dae1040efe4f node_type=claim\nt=0005 CREATE_NODE id=n_e89c7fc22c94 node_type=claim\nt=0006 CREATE_NODE id=n_fc73a94b6378 node_type=claim\nt=0007 CREATE_NODE id=n_5b502ce3acf5 node_type=claim\nt=0008 CREATE_NODE id=n_09d68deab06d node_type=claim\nt=0009 CREATE_NODE id=n_ecbc8ff03627 node_type=claim\nt=0010 CREATE_NODE id=n_3b406f50b45d node_type=claim\nt=0011 CREATE_NODE id=n_4a72c37e6da8 node_type=claim\nt=0012 CREATE_NODE id=n_518c8c0e8753 node_type=claim\nt=0013 CREATE_NODE id=n_dfe8e850fba1 node_type=claim\nt=0014 CREATE_NODE id=n_0229fcb4b936 node_type=claim\nt=0015 CREATE_NODE id=n_ceff42a0d59b node_type=claim\nt=0016 CREATE_NODE id=n_69dbb7d8de25 node_type=claim\nt=0017 CREATE_NODE id=n_185129f2eaa9 node_type=claim\nt=0018 CREATE_NODE id=n_46e0c64bc533 node_type=claim\nt=0019 CREATE_NODE id=n_ad7b41869101 node_type=claim\nt=0020 CREATE_NODE id=n_92cc9f61830e node_type=claim\nt=0021 CREATE_NODE id=n_66338b10a37e node_type=claim\nt=0022 CREATE_NODE id=n_03d0dd64294a node_type=claim\nt=0023 CREATE_NODE id=n_bf261311166c node_type=claim\nt=0024 ASSERT_ROOT node=n_e78b0a7c611f value=TRUE\nt=0025 ADD_EDGE edge_id=e_086771f639ed source=n_fc73a94b6378 edge_type=supports target=n_4a72c37e6da8\nt=0026 ADD_EDGE edge_id=e_6e8fcdce3825 source=n_185129f2eaa9 edge_type=refutes target=n_66338b10a37e\nt=0027 ADD_EDGE edge_id=e_34a3c9763490 source=n_46e0c64bc533 edge_type=supports target=n_608cd74d82a6\nt=0028 ADD_EDGE edge_id=e_58751f681377 source=n_e68838f0b1f7 edge_type=refutes target=n_fc73a94b6378\nt=0029 ADD_EDGE edge_id=e_936bc9df9626 source=n_92cc9f61830e edge_type=supports target=n_e89c7fc22c94\nt=0030 ADD_EDGE edge_id=e_9c9b0c1dcd0b source=n_dfe8e850fba1 edge_type=supports target=n_185129f2eaa9\nt=0031 ADD_EDGE edge_id=e_f194ac82d235 source=n_9f825e88fdd2 edge_type=supports target=n_92cc9f61830e\nt=0032 ADD_EDGE edge_id=e_5374514f233a source=n_03d0dd64294a edge_type=supports target=n_ceff42a0d59b\nt=0033 ADD_EDGE edge_id=e_6914ae6c5cab source=n_dae1040efe4f edge_type=refutes target=n_0229fcb4b936\nt=0034 ADD_EDGE edge_id=e_9c7678eef7f7 source=n_dae1040efe4f edge_type=refutes target=n_3b406f50b45d\nt=0035 ADD_EDGE edge_id=e_b720d2e7a353 source=n_fc73a94b6378 edge_type=supports target=n_ad7b41869101\nt=0036 ADD_EDGE edge_id=e_8ffd9cdef8ad source=n_ad7b41869101 edge_type=refutes target=n_dae1040efe4f\nt=0037 ADD_EDGE edge_id=e_647dbd47e2d0 source=n_518c8c0e8753 edge_type=refutes target=n_09d68deab06d\nt=0038 ADD_EDGE edge_id=e_80db1df2ac9b source=n_185129f2eaa9 edge_type=supports target=n_bf261311166c\nt=0039 ADD_EDGE edge_id=e_10fd5f5e6d7a source=n_e89c7fc22c94 edge_type=supports target=n_dfe8e850fba1\nt=0040 ADD_EDGE edge_id=e_d42f54947c37 source=n_5b502ce3acf5 edge_type=refutes target=n_518c8c0e8753\nt=0041 ADD_EDGE edge_id=e_dad57833ca67 source=n_fc73a94b6378 edge_type=supports target=n_ecbc8ff03627\nt=0042 ADD_EDGE edge_id=e_50ebcc42c382 source=n_185129f2eaa9 edge_type=refutes target=n_5b502ce3acf5\nt=0043 ADD_EDGE edge_id=e_1cacbf50dd06 source=n_ecbc8ff03627 edge_type=refutes target=n_03d0dd64294a\nt=0044 ADD_EDGE edge_id=e_4c65f0d83c07 source=n_46e0c64bc533 edge_type=refutes target=n_e68838f0b1f7\nt=0045 ADD_EDGE edge_id=e_8f9ca7bfbe3d source=n_dfe8e850fba1 edge_type=refutes target=n_69dbb7d8de25\nt=0046 ADD_EDGE edge_id=e_8447c4c9b10e source=n_e78b0a7c611f edge_type=supports target=n_9f825e88fdd2\nt=0047 QUERY source=n_e78b0a7c611f target=n_518c8c0e8753\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2255,"provenance":{"base_record_id":"train-d07-036","dataset":"livegraph-deterministic-parity-v3","depth":7,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d07-036","split":"train","variant":"clean"},"record_seed":373636193051061167,"render_sha256":"b0545190dfeda92e7cd4d5d6dd159ff342efd6b1b10b9acdd4027a8cf456f45e","representation":"linear_trace","semantic_sha256":"d76985726a33cfa58bab520cc0c75f25944bd671121829cadce3396fc7325457"}
{"char_count":4157,"item_id":"train-d07-037::linear_trace","label":"FALSE","lexical_token_proxy_count":712,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_e08ab5f457b4 node_type=claim\nt=0001 CREATE_NODE id=n_9b5405042c15 node_type=claim\nt=0002 CREATE_NODE id=n_8d55a66f6389 node_type=claim\nt=0003 CREATE_NODE id=n_20e84eb43e32 node_type=claim\nt=0004 CREATE_NODE id=n_210917f16dfb node_type=claim\nt=0005 CREATE_NODE id=n_87cc01d0511e node_type=claim\nt=0006 CREATE_NODE id=n_f459608b6591 node_type=claim\nt=0007 CREATE_NODE id=n_f666dd9d9a44 node_type=claim\nt=0008 CREATE_NODE id=n_86dc6820db2b node_type=claim\nt=0009 CREATE_NODE id=n_6d1575ab267c node_type=claim\nt=0010 CREATE_NODE id=n_aa1b79fdd819 node_type=claim\nt=0011 CREATE_NODE id=n_c49bbf3574f2 node_type=claim\nt=0012 CREATE_NODE id=n_347bae74021c node_type=claim\nt=0013 CREATE_NODE id=n_4577923b796a node_type=claim\nt=0014 CREATE_NODE id=n_9c54d5effe7a node_type=claim\nt=0015 CREATE_NODE id=n_fbcfe2395735 node_type=claim\nt=0016 CREATE_NODE id=n_75e01ae070ba node_type=claim\nt=0017 CREATE_NODE id=n_1eda21820220 node_type=claim\nt=0018 CREATE_NODE id=n_3e2cc702dc40 node_type=claim\nt=0019 CREATE_NODE id=n_5d152235850e node_type=claim\nt=0020 CREATE_NODE id=n_8f9baf012737 node_type=claim\nt=0021 CREATE_NODE id=n_65f721bbcbb6 node_type=claim\nt=0022 CREATE_NODE id=n_27bf4c850d1b node_type=claim\nt=0023 CREATE_NODE id=n_6bf2a79fbe83 node_type=claim\nt=0024 ASSERT_ROOT node=n_210917f16dfb value=TRUE\nt=0025 ADD_EDGE edge_id=e_d1ed5b9ac6fb source=n_65f721bbcbb6 edge_type=supports target=n_86dc6820db2b\nt=0026 ADD_EDGE edge_id=e_0ed504cac1ff source=n_aa1b79fdd819 edge_type=refutes target=n_6d1575ab267c\nt=0027 ADD_EDGE edge_id=e_32c103faa2f7 source=n_c49bbf3574f2 edge_type=refutes target=n_8f9baf012737\nt=0028 ADD_EDGE edge_id=e_89b5c1b4046c source=n_aa1b79fdd819 edge_type=supports target=n_6bf2a79fbe83\nt=0029 ADD_EDGE edge_id=e_e0883a9a2569 source=n_c49bbf3574f2 edge_type=refutes target=n_20e84eb43e32\nt=0030 ADD_EDGE edge_id=e_5d399a624c99 source=n_210917f16dfb edge_type=supports target=n_f666dd9d9a44\nt=0031 ADD_EDGE edge_id=e_c72038f56537 source=n_6d1575ab267c edge_type=refutes target=n_87cc01d0511e\nt=0032 ADD_EDGE edge_id=e_d12cbda7c4f7 source=n_aa1b79fdd819 edge_type=refutes target=n_c49bbf3574f2\nt=0033 ADD_EDGE edge_id=e_9a6dc2b5c735 source=n_5d152235850e edge_type=supports target=n_65f721bbcbb6\nt=0034 ADD_EDGE edge_id=e_554b56fe2f9b source=n_aa1b79fdd819 edge_type=refutes target=n_9c54d5effe7a\nt=0035 ADD_EDGE edge_id=e_1730b4dd514a source=n_aa1b79fdd819 edge_type=refutes target=n_3e2cc702dc40\nt=0036 ADD_EDGE edge_id=e_677394b0b09d source=n_f666dd9d9a44 edge_type=supports target=n_27bf4c850d1b\nt=0037 ADD_EDGE edge_id=e_323985368a23 source=n_f666dd9d9a44 edge_type=supports target=n_347bae74021c\nt=0038 ADD_EDGE edge_id=e_bd55762554aa source=n_210917f16dfb edge_type=supports target=n_9b5405042c15\nt=0039 ADD_EDGE edge_id=e_2bacd449c4bb source=n_9c54d5effe7a edge_type=supports target=n_f459608b6591\nt=0040 ADD_EDGE edge_id=e_df40225c95c9 source=n_8f9baf012737 edge_type=refutes target=n_75e01ae070ba\nt=0041 ADD_EDGE edge_id=e_f234473af470 source=n_8f9baf012737 edge_type=supports target=n_e08ab5f457b4\nt=0042 ADD_EDGE edge_id=e_d62f71ad2c56 source=n_347bae74021c edge_type=supports target=n_5d152235850e\nt=0043 ADD_EDGE edge_id=e_72a8ac0f7b2a source=n_8d55a66f6389 edge_type=refutes target=n_fbcfe2395735\nt=0044 ADD_EDGE edge_id=e_f3d3f6ba47bb source=n_347bae74021c edge_type=refutes target=n_1eda21820220\nt=0045 ADD_EDGE edge_id=e_da724c08913c source=n_347bae74021c edge_type=refutes target=n_4577923b796a\nt=0046 ADD_EDGE edge_id=e_6e07528f2f30 source=n_86dc6820db2b edge_type=supports target=n_8d55a66f6389\nt=0047 QUERY source=n_210917f16dfb target=n_fbcfe2395735\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2266,"provenance":{"base_record_id":"train-d07-037","dataset":"livegraph-deterministic-parity-v3","depth":7,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d07-037","split":"train","variant":"clean"},"record_seed":1101942709075121681,"render_sha256":"e31e775034e7c952756d8ef3a18ac20a0933f6fc4694a7177a0a45223b017e71","representation":"linear_trace","semantic_sha256":"dd8f06055b4bc87ae182e6506120da76db2c71171077d19f1b99f890aa2d4b72"}
{"char_count":4158,"item_id":"train-d07-038::linear_trace","label":"TRUE","lexical_token_proxy_count":712,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_0f90028dabf6 node_type=claim\nt=0001 CREATE_NODE id=n_bef8c9b75d9b node_type=claim\nt=0002 CREATE_NODE id=n_9ffa9710fa4d node_type=claim\nt=0003 CREATE_NODE id=n_aa4bb09a322a node_type=claim\nt=0004 CREATE_NODE id=n_212c009365d4 node_type=claim\nt=0005 CREATE_NODE id=n_7d5ccfe0e026 node_type=claim\nt=0006 CREATE_NODE id=n_6bdde8fef40e node_type=claim\nt=0007 CREATE_NODE id=n_13809d62a4c0 node_type=claim\nt=0008 CREATE_NODE id=n_f48a1c77d1c4 node_type=claim\nt=0009 CREATE_NODE id=n_a25132cc6530 node_type=claim\nt=0010 CREATE_NODE id=n_31600c052cde node_type=claim\nt=0011 CREATE_NODE id=n_9c735c31b77a node_type=claim\nt=0012 CREATE_NODE id=n_e730cc0b0108 node_type=claim\nt=0013 CREATE_NODE id=n_1a9bc30e92ba node_type=claim\nt=0014 CREATE_NODE id=n_45f7dc2bf390 node_type=claim\nt=0015 CREATE_NODE id=n_c20f881a44bf node_type=claim\nt=0016 CREATE_NODE id=n_d4055c7f5198 node_type=claim\nt=0017 CREATE_NODE id=n_612a55490ad1 node_type=claim\nt=0018 CREATE_NODE id=n_8b904a378afd node_type=claim\nt=0019 CREATE_NODE id=n_554c0bf9ae35 node_type=claim\nt=0020 CREATE_NODE id=n_32ac7f11b73b node_type=claim\nt=0021 CREATE_NODE id=n_46b18ef93538 node_type=claim\nt=0022 CREATE_NODE id=n_67736e8da086 node_type=claim\nt=0023 CREATE_NODE id=n_f3f8e2a8a668 node_type=claim\nt=0024 ASSERT_ROOT node=n_e730cc0b0108 value=FALSE\nt=0025 ADD_EDGE edge_id=e_a9d38a252cd2 source=n_7d5ccfe0e026 edge_type=refutes target=n_8b904a378afd\nt=0026 ADD_EDGE edge_id=e_d29bde7882cd source=n_f48a1c77d1c4 edge_type=refutes target=n_46b18ef93538\nt=0027 ADD_EDGE edge_id=e_562ebb37f10c source=n_e730cc0b0108 edge_type=refutes target=n_d4055c7f5198\nt=0028 ADD_EDGE edge_id=e_234d112d6976 source=n_a25132cc6530 edge_type=supports target=n_c20f881a44bf\nt=0029 ADD_EDGE edge_id=e_2fa3721d3e3c source=n_13809d62a4c0 edge_type=supports target=n_32ac7f11b73b\nt=0030 ADD_EDGE edge_id=e_86fdaacc34a7 source=n_1a9bc30e92ba edge_type=refutes target=n_a25132cc6530\nt=0031 ADD_EDGE edge_id=e_03448016197a source=n_a25132cc6530 edge_type=refutes target=n_31600c052cde\nt=0032 ADD_EDGE edge_id=e_433bedbb3768 source=n_67736e8da086 edge_type=refutes target=n_f48a1c77d1c4\nt=0033 ADD_EDGE edge_id=e_309f18a11caa source=n_d4055c7f5198 edge_type=supports target=n_45f7dc2bf390\nt=0034 ADD_EDGE edge_id=e_3fc9dd252530 source=n_8b904a378afd edge_type=supports target=n_554c0bf9ae35\nt=0035 ADD_EDGE edge_id=e_d9b9d3fa362c source=n_9ffa9710fa4d edge_type=supports target=n_612a55490ad1\nt=0036 ADD_EDGE edge_id=e_9f354c16a6e8 source=n_d4055c7f5198 edge_type=refutes target=n_f3f8e2a8a668\nt=0037 ADD_EDGE edge_id=e_0333edd024b3 source=n_9ffa9710fa4d edge_type=supports target=n_1a9bc30e92ba\nt=0038 ADD_EDGE edge_id=e_a4016bf201bf source=n_13809d62a4c0 edge_type=supports target=n_aa4bb09a322a\nt=0039 ADD_EDGE edge_id=e_9b220554a7c5 source=n_bef8c9b75d9b edge_type=refutes target=n_7d5ccfe0e026\nt=0040 ADD_EDGE edge_id=e_a3e35560a92f source=n_45f7dc2bf390 edge_type=supports target=n_bef8c9b75d9b\nt=0041 ADD_EDGE edge_id=e_84dad4074a38 source=n_612a55490ad1 edge_type=refutes target=n_0f90028dabf6\nt=0042 ADD_EDGE edge_id=e_f5129e61fae4 source=n_8b904a378afd edge_type=refutes target=n_67736e8da086\nt=0043 ADD_EDGE edge_id=e_9522c8187477 source=n_a25132cc6530 edge_type=supports target=n_13809d62a4c0\nt=0044 ADD_EDGE edge_id=e_e8c74f5a8bac source=n_1a9bc30e92ba edge_type=refutes target=n_9c735c31b77a\nt=0045 ADD_EDGE edge_id=e_c5550bb38127 source=n_a25132cc6530 edge_type=supports target=n_212c009365d4\nt=0046 ADD_EDGE edge_id=e_5cf3ea351a1a source=n_d4055c7f5198 edge_type=supports target=n_6bdde8fef40e\nt=0047 QUERY source=n_e730cc0b0108 target=n_f48a1c77d1c4\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2270,"provenance":{"base_record_id":"train-d07-038","dataset":"livegraph-deterministic-parity-v3","depth":7,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d07-038","split":"train","variant":"clean"},"record_seed":995058212879438564,"render_sha256":"89273ad0065759e3e335b6a87429cc110d9b65c974f1ab49ad7754bd9c22a1c7","representation":"linear_trace","semantic_sha256":"88f75ea681f6ec618e5e4add5774f11f1290b8ec158f2a2cba25d3b136d303fb"}
{"char_count":4158,"item_id":"train-d07-039::linear_trace","label":"FALSE","lexical_token_proxy_count":712,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_a8b51ad102cb node_type=claim\nt=0001 CREATE_NODE id=n_f694636ab408 node_type=claim\nt=0002 CREATE_NODE id=n_bdd9068826b5 node_type=claim\nt=0003 CREATE_NODE id=n_7634dacf2d44 node_type=claim\nt=0004 CREATE_NODE id=n_35e56dbdef4b node_type=claim\nt=0005 CREATE_NODE id=n_8ad47df26d43 node_type=claim\nt=0006 CREATE_NODE id=n_fc01283fe88f node_type=claim\nt=0007 CREATE_NODE id=n_ef28f5a1c02b node_type=claim\nt=0008 CREATE_NODE id=n_74b51412b934 node_type=claim\nt=0009 CREATE_NODE id=n_a11b19a24e41 node_type=claim\nt=0010 CREATE_NODE id=n_0a0ffd472ccd node_type=claim\nt=0011 CREATE_NODE id=n_dbbaa6090d55 node_type=claim\nt=0012 CREATE_NODE id=n_f1434ac40464 node_type=claim\nt=0013 CREATE_NODE id=n_c5c6a851a6c8 node_type=claim\nt=0014 CREATE_NODE id=n_840712d9cacb node_type=claim\nt=0015 CREATE_NODE id=n_62117c8a4d10 node_type=claim\nt=0016 CREATE_NODE id=n_80de12e62e54 node_type=claim\nt=0017 CREATE_NODE id=n_3d36027c0064 node_type=claim\nt=0018 CREATE_NODE id=n_44a87d0b53b2 node_type=claim\nt=0019 CREATE_NODE id=n_95515bf709e8 node_type=claim\nt=0020 CREATE_NODE id=n_9f7a2f8e135e node_type=claim\nt=0021 CREATE_NODE id=n_35c98097df9c node_type=claim\nt=0022 CREATE_NODE id=n_067440ede1cb node_type=claim\nt=0023 CREATE_NODE id=n_866167ad8884 node_type=claim\nt=0024 ASSERT_ROOT node=n_80de12e62e54 value=FALSE\nt=0025 ADD_EDGE edge_id=e_fea185543d55 source=n_35c98097df9c edge_type=supports target=n_c5c6a851a6c8\nt=0026 ADD_EDGE edge_id=e_2de001364f0e source=n_866167ad8884 edge_type=refutes target=n_f694636ab408\nt=0027 ADD_EDGE edge_id=e_cba42577940a source=n_866167ad8884 edge_type=supports target=n_ef28f5a1c02b\nt=0028 ADD_EDGE edge_id=e_5f8b48f3a94e source=n_9f7a2f8e135e edge_type=refutes target=n_f1434ac40464\nt=0029 ADD_EDGE edge_id=e_e0a2122742ee source=n_0a0ffd472ccd edge_type=supports target=n_35e56dbdef4b\nt=0030 ADD_EDGE edge_id=e_d77ac9c2a9fe source=n_9f7a2f8e135e edge_type=refutes target=n_8ad47df26d43\nt=0031 ADD_EDGE edge_id=e_83de5a56bdcb source=n_8ad47df26d43 edge_type=supports target=n_95515bf709e8\nt=0032 ADD_EDGE edge_id=e_43086ea4d559 source=n_0a0ffd472ccd edge_type=refutes target=n_840712d9cacb\nt=0033 ADD_EDGE edge_id=e_94a3fb96a073 source=n_a8b51ad102cb edge_type=supports target=n_bdd9068826b5\nt=0034 ADD_EDGE edge_id=e_3046503ab2a4 source=n_866167ad8884 edge_type=supports target=n_0a0ffd472ccd\nt=0035 ADD_EDGE edge_id=e_a5c3687b86ee source=n_840712d9cacb edge_type=supports target=n_fc01283fe88f\nt=0036 ADD_EDGE edge_id=e_72b1026efefc source=n_8ad47df26d43 edge_type=supports target=n_35c98097df9c\nt=0037 ADD_EDGE edge_id=e_3c8c113efffb source=n_74b51412b934 edge_type=supports target=n_3d36027c0064\nt=0038 ADD_EDGE edge_id=e_b9c2c2dee0f8 source=n_80de12e62e54 edge_type=refutes target=n_9f7a2f8e135e\nt=0039 ADD_EDGE edge_id=e_34b40315d3a4 source=n_c5c6a851a6c8 edge_type=refutes target=n_7634dacf2d44\nt=0040 ADD_EDGE edge_id=e_d99555cc8b47 source=n_c5c6a851a6c8 edge_type=refutes target=n_067440ede1cb\nt=0041 ADD_EDGE edge_id=e_7749bdb13200 source=n_a8b51ad102cb edge_type=refutes target=n_dbbaa6090d55\nt=0042 ADD_EDGE edge_id=e_22bd43289f53 source=n_35e56dbdef4b edge_type=supports target=n_62117c8a4d10\nt=0043 ADD_EDGE edge_id=e_9494ec67459f source=n_0a0ffd472ccd edge_type=refutes target=n_a8b51ad102cb\nt=0044 ADD_EDGE edge_id=e_09313ac6706f source=n_44a87d0b53b2 edge_type=supports target=n_74b51412b934\nt=0045 ADD_EDGE edge_id=e_cf6f00d12e2e source=n_067440ede1cb edge_type=refutes target=n_44a87d0b53b2\nt=0046 ADD_EDGE edge_id=e_8c3709728472 source=n_ef28f5a1c02b edge_type=refutes target=n_a11b19a24e41\nt=0047 QUERY source=n_80de12e62e54 target=n_74b51412b934\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2259,"provenance":{"base_record_id":"train-d07-039","dataset":"livegraph-deterministic-parity-v3","depth":7,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d07-039","split":"train","variant":"clean"},"record_seed":376001764645205964,"render_sha256":"32c83a4924bc9f20a32d195fbe402fe6d5b76a188cc946255cb07b2cd3b1c2a9","representation":"linear_trace","semantic_sha256":"df0f397c9053e70632ff9faf2a8a347ce13f63a85beb0b5fcd3f1e502ba19cd4"}
{"char_count":4157,"item_id":"train-d07-040::linear_trace","label":"TRUE","lexical_token_proxy_count":712,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_75d50c15bb50 node_type=claim\nt=0001 CREATE_NODE id=n_27ff1eb3fbe2 node_type=claim\nt=0002 CREATE_NODE id=n_61d671db9063 node_type=claim\nt=0003 CREATE_NODE id=n_904d9ce26682 node_type=claim\nt=0004 CREATE_NODE id=n_ecd002401710 node_type=claim\nt=0005 CREATE_NODE id=n_f16911a47fdd node_type=claim\nt=0006 CREATE_NODE id=n_d6889dd4accb node_type=claim\nt=0007 CREATE_NODE id=n_1cf5b1a875c6 node_type=claim\nt=0008 CREATE_NODE id=n_958a7be14ecb node_type=claim\nt=0009 CREATE_NODE id=n_2f4fa732775a node_type=claim\nt=0010 CREATE_NODE id=n_f565a0d2b17b node_type=claim\nt=0011 CREATE_NODE id=n_7ce72f79afd6 node_type=claim\nt=0012 CREATE_NODE id=n_88bc825713bd node_type=claim\nt=0013 CREATE_NODE id=n_be99e6c1bc25 node_type=claim\nt=0014 CREATE_NODE id=n_3139ef042dde node_type=claim\nt=0015 CREATE_NODE id=n_c07857a3cf51 node_type=claim\nt=0016 CREATE_NODE id=n_844e002473c6 node_type=claim\nt=0017 CREATE_NODE id=n_326d037a46d4 node_type=claim\nt=0018 CREATE_NODE id=n_95c0779f812d node_type=claim\nt=0019 CREATE_NODE id=n_9366a9d01c19 node_type=claim\nt=0020 CREATE_NODE id=n_ece1a9625cf7 node_type=claim\nt=0021 CREATE_NODE id=n_5511fae9d252 node_type=claim\nt=0022 CREATE_NODE id=n_175f522113df node_type=claim\nt=0023 CREATE_NODE id=n_032c9ac2bbf2 node_type=claim\nt=0024 ASSERT_ROOT node=n_95c0779f812d value=TRUE\nt=0025 ADD_EDGE edge_id=e_9a4e157221ae source=n_7ce72f79afd6 edge_type=supports target=n_ece1a9625cf7\nt=0026 ADD_EDGE edge_id=e_c59950e8edad source=n_904d9ce26682 edge_type=supports target=n_9366a9d01c19\nt=0027 ADD_EDGE edge_id=e_5660661bc7fd source=n_9366a9d01c19 edge_type=refutes target=n_f16911a47fdd\nt=0028 ADD_EDGE edge_id=e_2c7b9b640eab source=n_958a7be14ecb edge_type=supports target=n_27ff1eb3fbe2\nt=0029 ADD_EDGE edge_id=e_32656fe61c8b source=n_958a7be14ecb edge_type=refutes target=n_2f4fa732775a\nt=0030 ADD_EDGE edge_id=e_1730dd0f4d03 source=n_c07857a3cf51 edge_type=refutes target=n_958a7be14ecb\nt=0031 ADD_EDGE edge_id=e_1b7c8c6220d3 source=n_1cf5b1a875c6 edge_type=supports target=n_7ce72f79afd6\nt=0032 ADD_EDGE edge_id=e_7d9a20a0c245 source=n_95c0779f812d edge_type=supports target=n_be99e6c1bc25\nt=0033 ADD_EDGE edge_id=e_c29c1c7bfdee source=n_5511fae9d252 edge_type=refutes target=n_d6889dd4accb\nt=0034 ADD_EDGE edge_id=e_8a3349c03e5c source=n_be99e6c1bc25 edge_type=refutes target=n_032c9ac2bbf2\nt=0035 ADD_EDGE edge_id=e_fc56d3f01340 source=n_be99e6c1bc25 edge_type=refutes target=n_1cf5b1a875c6\nt=0036 ADD_EDGE edge_id=e_95ba5cb8e493 source=n_ece1a9625cf7 edge_type=supports target=n_75d50c15bb50\nt=0037 ADD_EDGE edge_id=e_693797a39ca8 source=n_ecd002401710 edge_type=supports target=n_3139ef042dde\nt=0038 ADD_EDGE edge_id=e_3ca887ad8703 source=n_9366a9d01c19 edge_type=refutes target=n_326d037a46d4\nt=0039 ADD_EDGE edge_id=e_97cefe4a1d88 source=n_844e002473c6 edge_type=supports target=n_175f522113df\nt=0040 ADD_EDGE edge_id=e_e18d31446e9d source=n_958a7be14ecb edge_type=refutes target=n_ecd002401710\nt=0041 ADD_EDGE edge_id=e_1051ecc1db98 source=n_88bc825713bd edge_type=supports target=n_904d9ce26682\nt=0042 ADD_EDGE edge_id=e_ca7a977640c4 source=n_c07857a3cf51 edge_type=supports target=n_5511fae9d252\nt=0043 ADD_EDGE edge_id=e_0d09fcc48332 source=n_2f4fa732775a edge_type=refutes target=n_f565a0d2b17b\nt=0044 ADD_EDGE edge_id=e_69b43291c9fc source=n_ece1a9625cf7 edge_type=refutes target=n_88bc825713bd\nt=0045 ADD_EDGE edge_id=e_8060341c1637 source=n_5511fae9d252 edge_type=supports target=n_844e002473c6\nt=0046 ADD_EDGE edge_id=e_1e7510390a5e source=n_ecd002401710 edge_type=refutes target=n_61d671db9063\nt=0047 QUERY source=n_95c0779f812d target=n_9366a9d01c19\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2260,"provenance":{"base_record_id":"train-d07-040","dataset":"livegraph-deterministic-parity-v3","depth":7,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d07-040","split":"train","variant":"clean"},"record_seed":32342356270293194,"render_sha256":"a2be27c90cd0e7206263f4f398179d423619e9ee9bfcaa75d59d2c5980ccef07","representation":"linear_trace","semantic_sha256":"6c4e46816cfd2c25a746a040dbaa0d58e21ae68de60a75e5ab4fdf23f6a675f1"}
{"char_count":4157,"item_id":"train-d07-041::linear_trace","label":"FALSE","lexical_token_proxy_count":712,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_0c1f51f3ce8c node_type=claim\nt=0001 CREATE_NODE id=n_fc213bdffffd node_type=claim\nt=0002 CREATE_NODE id=n_d9c976205bfa node_type=claim\nt=0003 CREATE_NODE id=n_120325e1b9f1 node_type=claim\nt=0004 CREATE_NODE id=n_870551efa854 node_type=claim\nt=0005 CREATE_NODE id=n_533a3aa602b8 node_type=claim\nt=0006 CREATE_NODE id=n_aa98731c4273 node_type=claim\nt=0007 CREATE_NODE id=n_ae1e2b96d7b8 node_type=claim\nt=0008 CREATE_NODE id=n_71842270650c node_type=claim\nt=0009 CREATE_NODE id=n_02e4c7bd77d9 node_type=claim\nt=0010 CREATE_NODE id=n_61aaaf7beec4 node_type=claim\nt=0011 CREATE_NODE id=n_bc6236194944 node_type=claim\nt=0012 CREATE_NODE id=n_0fe1680afe9d node_type=claim\nt=0013 CREATE_NODE id=n_84a66b9ec381 node_type=claim\nt=0014 CREATE_NODE id=n_046fba080dc2 node_type=claim\nt=0015 CREATE_NODE id=n_f3db468c62ac node_type=claim\nt=0016 CREATE_NODE id=n_4f26bd9cd6a4 node_type=claim\nt=0017 CREATE_NODE id=n_aa7841f27434 node_type=claim\nt=0018 CREATE_NODE id=n_cf95d51b7d93 node_type=claim\nt=0019 CREATE_NODE id=n_590a84614753 node_type=claim\nt=0020 CREATE_NODE id=n_ecd3000f233d node_type=claim\nt=0021 CREATE_NODE id=n_67ccceb14b1a node_type=claim\nt=0022 CREATE_NODE id=n_e2ef6e03b3e7 node_type=claim\nt=0023 CREATE_NODE id=n_68fe5725901c node_type=claim\nt=0024 ASSERT_ROOT node=n_aa98731c4273 value=TRUE\nt=0025 ADD_EDGE edge_id=e_edd82dc505fa source=n_02e4c7bd77d9 edge_type=refutes target=n_4f26bd9cd6a4\nt=0026 ADD_EDGE edge_id=e_201acb194f25 source=n_71842270650c edge_type=refutes target=n_bc6236194944\nt=0027 ADD_EDGE edge_id=e_4281f0fd68ef source=n_aa7841f27434 edge_type=supports target=n_d9c976205bfa\nt=0028 ADD_EDGE edge_id=e_4714317d262a source=n_ae1e2b96d7b8 edge_type=supports target=n_f3db468c62ac\nt=0029 ADD_EDGE edge_id=e_cefd5c314c7d source=n_fc213bdffffd edge_type=refutes target=n_61aaaf7beec4\nt=0030 ADD_EDGE edge_id=e_1b4f90cbca57 source=n_71842270650c edge_type=refutes target=n_cf95d51b7d93\nt=0031 ADD_EDGE edge_id=e_c828615a2603 source=n_aa98731c4273 edge_type=refutes target=n_533a3aa602b8\nt=0032 ADD_EDGE edge_id=e_964ea89bd23a source=n_aa98731c4273 edge_type=supports target=n_71842270650c\nt=0033 ADD_EDGE edge_id=e_9dd201489cbb source=n_cf95d51b7d93 edge_type=refutes target=n_fc213bdffffd\nt=0034 ADD_EDGE edge_id=e_934c850016d3 source=n_aa7841f27434 edge_type=refutes target=n_0fe1680afe9d\nt=0035 ADD_EDGE edge_id=e_4b8c72e54f13 source=n_aa7841f27434 edge_type=supports target=n_046fba080dc2\nt=0036 ADD_EDGE edge_id=e_8d8d4423286b source=n_ae1e2b96d7b8 edge_type=refutes target=n_67ccceb14b1a\nt=0037 ADD_EDGE edge_id=e_be2dc6b6c896 source=n_02e4c7bd77d9 edge_type=supports target=n_ecd3000f233d\nt=0038 ADD_EDGE edge_id=e_51354cd942db source=n_590a84614753 edge_type=supports target=n_e2ef6e03b3e7\nt=0039 ADD_EDGE edge_id=e_b28205a4a3d6 source=n_ae1e2b96d7b8 edge_type=supports target=n_84a66b9ec381\nt=0040 ADD_EDGE edge_id=e_97d57eae5557 source=n_68fe5725901c edge_type=supports target=n_870551efa854\nt=0041 ADD_EDGE edge_id=e_41d5908f6899 source=n_61aaaf7beec4 edge_type=refutes target=n_02e4c7bd77d9\nt=0042 ADD_EDGE edge_id=e_bd258fb47925 source=n_ecd3000f233d edge_type=refutes target=n_0c1f51f3ce8c\nt=0043 ADD_EDGE edge_id=e_658fdfc969e3 source=n_d9c976205bfa edge_type=refutes target=n_68fe5725901c\nt=0044 ADD_EDGE edge_id=e_ffb645a1c459 source=n_71842270650c edge_type=supports target=n_120325e1b9f1\nt=0045 ADD_EDGE edge_id=e_bd918dbfe23c source=n_d9c976205bfa edge_type=supports target=n_ae1e2b96d7b8\nt=0046 ADD_EDGE edge_id=e_7483f258c37a source=n_d9c976205bfa edge_type=supports target=n_590a84614753\nt=0047 QUERY source=n_aa98731c4273 target=n_0c1f51f3ce8c\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2258,"provenance":{"base_record_id":"train-d07-041","dataset":"livegraph-deterministic-parity-v3","depth":7,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d07-041","split":"train","variant":"clean"},"record_seed":339990483541844957,"render_sha256":"b297a8c83a1b03f8f93a0a653ddcecf8e6ca97f0171ba42df5047625046d06e4","representation":"linear_trace","semantic_sha256":"703b4efaedd1e159a2449b28affeed92f5186a59b608316a1bcc9058f0b19d67"}
{"char_count":4158,"item_id":"train-d07-042::linear_trace","label":"TRUE","lexical_token_proxy_count":712,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_8605051a07ad node_type=claim\nt=0001 CREATE_NODE id=n_3396cbd68489 node_type=claim\nt=0002 CREATE_NODE id=n_ade1d203c4f2 node_type=claim\nt=0003 CREATE_NODE id=n_b29a405c5530 node_type=claim\nt=0004 CREATE_NODE id=n_81772d0c1ac4 node_type=claim\nt=0005 CREATE_NODE id=n_642b97809b56 node_type=claim\nt=0006 CREATE_NODE id=n_6a7defd5e3b7 node_type=claim\nt=0007 CREATE_NODE id=n_564ede3993f6 node_type=claim\nt=0008 CREATE_NODE id=n_d0dadca11f53 node_type=claim\nt=0009 CREATE_NODE id=n_9520850d3cfc node_type=claim\nt=0010 CREATE_NODE id=n_2c496e04ce61 node_type=claim\nt=0011 CREATE_NODE id=n_fd40658f00e5 node_type=claim\nt=0012 CREATE_NODE id=n_052e15349486 node_type=claim\nt=0013 CREATE_NODE id=n_9bc4a3907082 node_type=claim\nt=0014 CREATE_NODE id=n_ca76108227ff node_type=claim\nt=0015 CREATE_NODE id=n_e555ddb1bd64 node_type=claim\nt=0016 CREATE_NODE id=n_bae79b2bb3fc node_type=claim\nt=0017 CREATE_NODE id=n_f5c108490985 node_type=claim\nt=0018 CREATE_NODE id=n_c1457fc5d45e node_type=claim\nt=0019 CREATE_NODE id=n_17a8411fd4e5 node_type=claim\nt=0020 CREATE_NODE id=n_39a022ae73ee node_type=claim\nt=0021 CREATE_NODE id=n_78db6d5ab6c7 node_type=claim\nt=0022 CREATE_NODE id=n_06e44a17b6fc node_type=claim\nt=0023 CREATE_NODE id=n_df4b2fbb9393 node_type=claim\nt=0024 ASSERT_ROOT node=n_9520850d3cfc value=FALSE\nt=0025 ADD_EDGE edge_id=e_134d2723dffb source=n_564ede3993f6 edge_type=supports target=n_78db6d5ab6c7\nt=0026 ADD_EDGE edge_id=e_a2dcff4ad975 source=n_2c496e04ce61 edge_type=refutes target=n_6a7defd5e3b7\nt=0027 ADD_EDGE edge_id=e_04c03e0b6b3b source=n_f5c108490985 edge_type=refutes target=n_564ede3993f6\nt=0028 ADD_EDGE edge_id=e_ec911b14f045 source=n_fd40658f00e5 edge_type=supports target=n_e555ddb1bd64\nt=0029 ADD_EDGE edge_id=e_a9cc47406476 source=n_2c496e04ce61 edge_type=supports target=n_052e15349486\nt=0030 ADD_EDGE edge_id=e_123d678286b4 source=n_fd40658f00e5 edge_type=supports target=n_ca76108227ff\nt=0031 ADD_EDGE edge_id=e_0a0a074f6ed4 source=n_d0dadca11f53 edge_type=refutes target=n_b29a405c5530\nt=0032 ADD_EDGE edge_id=e_0b7cf55b2d10 source=n_8605051a07ad edge_type=refutes target=n_d0dadca11f53\nt=0033 ADD_EDGE edge_id=e_c03bea5ee202 source=n_052e15349486 edge_type=refutes target=n_c1457fc5d45e\nt=0034 ADD_EDGE edge_id=e_d47878436fe0 source=n_9520850d3cfc edge_type=supports target=n_2c496e04ce61\nt=0035 ADD_EDGE edge_id=e_7a033551b630 source=n_052e15349486 edge_type=supports target=n_17a8411fd4e5\nt=0036 ADD_EDGE edge_id=e_f08b71046dcc source=n_ca76108227ff edge_type=refutes target=n_81772d0c1ac4\nt=0037 ADD_EDGE edge_id=e_e40f624ee229 source=n_e555ddb1bd64 edge_type=refutes target=n_06e44a17b6fc\nt=0038 ADD_EDGE edge_id=e_f80a8832e8f5 source=n_e555ddb1bd64 edge_type=refutes target=n_ade1d203c4f2\nt=0039 ADD_EDGE edge_id=e_dc5437493f26 source=n_17a8411fd4e5 edge_type=supports target=n_df4b2fbb9393\nt=0040 ADD_EDGE edge_id=e_be9dfd0aa794 source=n_564ede3993f6 edge_type=refutes target=n_bae79b2bb3fc\nt=0041 ADD_EDGE edge_id=e_9831ee2a97bc source=n_b29a405c5530 edge_type=supports target=n_3396cbd68489\nt=0042 ADD_EDGE edge_id=e_935d7a8a0437 source=n_3396cbd68489 edge_type=supports target=n_39a022ae73ee\nt=0043 ADD_EDGE edge_id=e_213b44831997 source=n_ade1d203c4f2 edge_type=supports target=n_9bc4a3907082\nt=0044 ADD_EDGE edge_id=e_b15e19aff8f4 source=n_fd40658f00e5 edge_type=supports target=n_642b97809b56\nt=0045 ADD_EDGE edge_id=e_d8c010036648 source=n_17a8411fd4e5 edge_type=refutes target=n_8605051a07ad\nt=0046 ADD_EDGE edge_id=e_d881920f028b source=n_bae79b2bb3fc edge_type=refutes target=n_fd40658f00e5\nt=0047 QUERY source=n_9520850d3cfc target=n_3396cbd68489\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2262,"provenance":{"base_record_id":"train-d07-042","dataset":"livegraph-deterministic-parity-v3","depth":7,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d07-042","split":"train","variant":"clean"},"record_seed":65000894087720225,"render_sha256":"0b3e1398849b1b646906686d8a162e4c28a9a236d86c7e31508f94e5c9acb4a5","representation":"linear_trace","semantic_sha256":"9165929f3a823581d4db09f6b45af3e9d0215c28347f1c0ad46f76ad87bda8c0"}
{"char_count":4158,"item_id":"train-d07-043::linear_trace","label":"FALSE","lexical_token_proxy_count":712,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_7dcd1ff11645 node_type=claim\nt=0001 CREATE_NODE id=n_08f44252ce06 node_type=claim\nt=0002 CREATE_NODE id=n_f95fe7e9967f node_type=claim\nt=0003 CREATE_NODE id=n_8424de340ffb node_type=claim\nt=0004 CREATE_NODE id=n_71b9d27df6d1 node_type=claim\nt=0005 CREATE_NODE id=n_abb4b5aa8c28 node_type=claim\nt=0006 CREATE_NODE id=n_009a4ad2bfec node_type=claim\nt=0007 CREATE_NODE id=n_16744c62fd28 node_type=claim\nt=0008 CREATE_NODE id=n_cf82ab0d8463 node_type=claim\nt=0009 CREATE_NODE id=n_943464db7233 node_type=claim\nt=0010 CREATE_NODE id=n_1883c7b33b32 node_type=claim\nt=0011 CREATE_NODE id=n_d354288c8b62 node_type=claim\nt=0012 CREATE_NODE id=n_2c99389a293f node_type=claim\nt=0013 CREATE_NODE id=n_6b6878e61aca node_type=claim\nt=0014 CREATE_NODE id=n_b7d42c6eeb99 node_type=claim\nt=0015 CREATE_NODE id=n_def3c60d6aa0 node_type=claim\nt=0016 CREATE_NODE id=n_821c9b10ef0b node_type=claim\nt=0017 CREATE_NODE id=n_f03bb9e6f1ab node_type=claim\nt=0018 CREATE_NODE id=n_a89a8a673c7e node_type=claim\nt=0019 CREATE_NODE id=n_21042c2d8658 node_type=claim\nt=0020 CREATE_NODE id=n_1c91273366d0 node_type=claim\nt=0021 CREATE_NODE id=n_054d3b6c5d07 node_type=claim\nt=0022 CREATE_NODE id=n_a79e864d900e node_type=claim\nt=0023 CREATE_NODE id=n_2a40770cca53 node_type=claim\nt=0024 ASSERT_ROOT node=n_21042c2d8658 value=FALSE\nt=0025 ADD_EDGE edge_id=e_ff4eca704141 source=n_21042c2d8658 edge_type=refutes target=n_b7d42c6eeb99\nt=0026 ADD_EDGE edge_id=e_707223cc1a5a source=n_7dcd1ff11645 edge_type=supports target=n_cf82ab0d8463\nt=0027 ADD_EDGE edge_id=e_dc10d4f7e11a source=n_943464db7233 edge_type=supports target=n_16744c62fd28\nt=0028 ADD_EDGE edge_id=e_e09c76004ff5 source=n_1c91273366d0 edge_type=supports target=n_71b9d27df6d1\nt=0029 ADD_EDGE edge_id=e_073ca01a84e7 source=n_054d3b6c5d07 edge_type=refutes target=n_a89a8a673c7e\nt=0030 ADD_EDGE edge_id=e_060505ad80d0 source=n_a79e864d900e edge_type=refutes target=n_def3c60d6aa0\nt=0031 ADD_EDGE edge_id=e_511505d03ea0 source=n_2c99389a293f edge_type=refutes target=n_009a4ad2bfec\nt=0032 ADD_EDGE edge_id=e_ff88b542c9fe source=n_16744c62fd28 edge_type=refutes target=n_7dcd1ff11645\nt=0033 ADD_EDGE edge_id=e_e11f225732e6 source=n_1c91273366d0 edge_type=refutes target=n_8424de340ffb\nt=0034 ADD_EDGE edge_id=e_2bfc11adba9c source=n_cf82ab0d8463 edge_type=supports target=n_1c91273366d0\nt=0035 ADD_EDGE edge_id=e_6ab62e01fe7f source=n_a79e864d900e edge_type=supports target=n_6b6878e61aca\nt=0036 ADD_EDGE edge_id=e_9c04f4bc8cd8 source=n_2a40770cca53 edge_type=supports target=n_1883c7b33b32\nt=0037 ADD_EDGE edge_id=e_2bfcc08ef92f source=n_cf82ab0d8463 edge_type=supports target=n_f03bb9e6f1ab\nt=0038 ADD_EDGE edge_id=e_c6af0265e12f source=n_6b6878e61aca edge_type=refutes target=n_821c9b10ef0b\nt=0039 ADD_EDGE edge_id=e_12376cc79903 source=n_2c99389a293f edge_type=supports target=n_054d3b6c5d07\nt=0040 ADD_EDGE edge_id=e_744c74ca494b source=n_2a40770cca53 edge_type=refutes target=n_a79e864d900e\nt=0041 ADD_EDGE edge_id=e_e5f31089db94 source=n_21042c2d8658 edge_type=refutes target=n_943464db7233\nt=0042 ADD_EDGE edge_id=e_64f6c74bc0dd source=n_054d3b6c5d07 edge_type=refutes target=n_f95fe7e9967f\nt=0043 ADD_EDGE edge_id=e_2c418d845c82 source=n_8424de340ffb edge_type=refutes target=n_08f44252ce06\nt=0044 ADD_EDGE edge_id=e_8206928880f7 source=n_2a40770cca53 edge_type=supports target=n_2c99389a293f\nt=0045 ADD_EDGE edge_id=e_a65308211ed5 source=n_16744c62fd28 edge_type=supports target=n_d354288c8b62\nt=0046 ADD_EDGE edge_id=e_f579b9c331e3 source=n_abb4b5aa8c28 edge_type=supports target=n_2a40770cca53\nt=0047 QUERY source=n_21042c2d8658 target=n_08f44252ce06\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2280,"provenance":{"base_record_id":"train-d07-043","dataset":"livegraph-deterministic-parity-v3","depth":7,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d07-043","split":"train","variant":"clean"},"record_seed":707553672630159156,"render_sha256":"5d38c07c3270255971c0c5bf6c88c203a9805225fdd73013351619da1572114f","representation":"linear_trace","semantic_sha256":"373433bfd459d78f6d90bc289a6158aef287df2c5f4d83115b7f33e6f349e26e"}
{"char_count":4157,"item_id":"train-d07-044::linear_trace","label":"TRUE","lexical_token_proxy_count":712,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_c628e0ecc771 node_type=claim\nt=0001 CREATE_NODE id=n_82ccde9d2884 node_type=claim\nt=0002 CREATE_NODE id=n_1c163984daa5 node_type=claim\nt=0003 CREATE_NODE id=n_17bf4a667191 node_type=claim\nt=0004 CREATE_NODE id=n_7de479d5b292 node_type=claim\nt=0005 CREATE_NODE id=n_dfe55d680211 node_type=claim\nt=0006 CREATE_NODE id=n_6b00cb7c185b node_type=claim\nt=0007 CREATE_NODE id=n_8a1568dfcded node_type=claim\nt=0008 CREATE_NODE id=n_93da2d4dbf1a node_type=claim\nt=0009 CREATE_NODE id=n_480ace71f3c0 node_type=claim\nt=0010 CREATE_NODE id=n_8bb402b9d17d node_type=claim\nt=0011 CREATE_NODE id=n_d3b9c9433820 node_type=claim\nt=0012 CREATE_NODE id=n_f77111c20744 node_type=claim\nt=0013 CREATE_NODE id=n_2d64ac37438f node_type=claim\nt=0014 CREATE_NODE id=n_f75bed59681b node_type=claim\nt=0015 CREATE_NODE id=n_fc1e3769ebf5 node_type=claim\nt=0016 CREATE_NODE id=n_99762e429c46 node_type=claim\nt=0017 CREATE_NODE id=n_804ee9f370f2 node_type=claim\nt=0018 CREATE_NODE id=n_3cd06b36fa8d node_type=claim\nt=0019 CREATE_NODE id=n_8bab9b131bd9 node_type=claim\nt=0020 CREATE_NODE id=n_e72bee767aba node_type=claim\nt=0021 CREATE_NODE id=n_e6d97868837f node_type=claim\nt=0022 CREATE_NODE id=n_7c90a7593ece node_type=claim\nt=0023 CREATE_NODE id=n_3bbd2dc6f23f node_type=claim\nt=0024 ASSERT_ROOT node=n_3cd06b36fa8d value=TRUE\nt=0025 ADD_EDGE edge_id=e_fcef49a5f22a source=n_dfe55d680211 edge_type=supports target=n_99762e429c46\nt=0026 ADD_EDGE edge_id=e_4eddab734819 source=n_e72bee767aba edge_type=refutes target=n_f75bed59681b\nt=0027 ADD_EDGE edge_id=e_9822fbee0a5e source=n_2d64ac37438f edge_type=refutes target=n_8bb402b9d17d\nt=0028 ADD_EDGE edge_id=e_ee802d725b1c source=n_c628e0ecc771 edge_type=refutes target=n_dfe55d680211\nt=0029 ADD_EDGE edge_id=e_c3d66beecc3e source=n_2d64ac37438f edge_type=refutes target=n_fc1e3769ebf5\nt=0030 ADD_EDGE edge_id=e_6d8193af6946 source=n_6b00cb7c185b edge_type=supports target=n_c628e0ecc771\nt=0031 ADD_EDGE edge_id=e_49d46d3cba2f source=n_3cd06b36fa8d edge_type=refutes target=n_804ee9f370f2\nt=0032 ADD_EDGE edge_id=e_f3b5c22e15ef source=n_82ccde9d2884 edge_type=supports target=n_1c163984daa5\nt=0033 ADD_EDGE edge_id=e_eb88241becb8 source=n_8bb402b9d17d edge_type=refutes target=n_7c90a7593ece\nt=0034 ADD_EDGE edge_id=e_e520201939ee source=n_2d64ac37438f edge_type=supports target=n_f77111c20744\nt=0035 ADD_EDGE edge_id=e_74be2a1bdd48 source=n_2d64ac37438f edge_type=supports target=n_8bab9b131bd9\nt=0036 ADD_EDGE edge_id=e_d081d22f031a source=n_82ccde9d2884 edge_type=refutes target=n_8a1568dfcded\nt=0037 ADD_EDGE edge_id=e_4f40e97ce865 source=n_f75bed59681b edge_type=supports target=n_e6d97868837f\nt=0038 ADD_EDGE edge_id=e_aff927148605 source=n_f77111c20744 edge_type=refutes target=n_17bf4a667191\nt=0039 ADD_EDGE edge_id=e_b639439125b5 source=n_8bab9b131bd9 edge_type=supports target=n_d3b9c9433820\nt=0040 ADD_EDGE edge_id=e_acfcfcb6e4f0 source=n_f75bed59681b edge_type=supports target=n_6b00cb7c185b\nt=0041 ADD_EDGE edge_id=e_bd77849aa378 source=n_8bab9b131bd9 edge_type=supports target=n_93da2d4dbf1a\nt=0042 ADD_EDGE edge_id=e_e37c29d07064 source=n_804ee9f370f2 edge_type=refutes target=n_e72bee767aba\nt=0043 ADD_EDGE edge_id=e_554483f5288c source=n_99762e429c46 edge_type=refutes target=n_7de479d5b292\nt=0044 ADD_EDGE edge_id=e_9aff06b8dae2 source=n_6b00cb7c185b edge_type=supports target=n_480ace71f3c0\nt=0045 ADD_EDGE edge_id=e_afcfd73c7f12 source=n_2d64ac37438f edge_type=supports target=n_82ccde9d2884\nt=0046 ADD_EDGE edge_id=e_1f3dd11b3671 source=n_dfe55d680211 edge_type=refutes target=n_3bbd2dc6f23f\nt=0047 QUERY source=n_3cd06b36fa8d target=n_99762e429c46\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2237,"provenance":{"base_record_id":"train-d07-044","dataset":"livegraph-deterministic-parity-v3","depth":7,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d07-044","split":"train","variant":"clean"},"record_seed":948774953630512205,"render_sha256":"fd07abf28cf01c3d78d120a09b953d0a070adc64bb5440631610974cfe0f6864","representation":"linear_trace","semantic_sha256":"bc5d13e1592769c3c543e8192fad1265ecce9f4a8e9939e86e3454c4fa5bc5fa"}
{"char_count":4157,"item_id":"train-d07-045::linear_trace","label":"FALSE","lexical_token_proxy_count":712,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_430c1061e4ae node_type=claim\nt=0001 CREATE_NODE id=n_537404603ca6 node_type=claim\nt=0002 CREATE_NODE id=n_7271ea1b536b node_type=claim\nt=0003 CREATE_NODE id=n_27c4bca87745 node_type=claim\nt=0004 CREATE_NODE id=n_506284ce7e69 node_type=claim\nt=0005 CREATE_NODE id=n_fc9515e02850 node_type=claim\nt=0006 CREATE_NODE id=n_ffce660770df node_type=claim\nt=0007 CREATE_NODE id=n_4ebc2fa75aef node_type=claim\nt=0008 CREATE_NODE id=n_a214018763d7 node_type=claim\nt=0009 CREATE_NODE id=n_d5d8da57a0ed node_type=claim\nt=0010 CREATE_NODE id=n_576c2dc712b5 node_type=claim\nt=0011 CREATE_NODE id=n_2bdd82f2accf node_type=claim\nt=0012 CREATE_NODE id=n_5e5ecfa11d9a node_type=claim\nt=0013 CREATE_NODE id=n_7d9c408bb929 node_type=claim\nt=0014 CREATE_NODE id=n_abcc9808e3d6 node_type=claim\nt=0015 CREATE_NODE id=n_3286cea91fac node_type=claim\nt=0016 CREATE_NODE id=n_040c576c635c node_type=claim\nt=0017 CREATE_NODE id=n_099134d36ac0 node_type=claim\nt=0018 CREATE_NODE id=n_2dd6ae98533b node_type=claim\nt=0019 CREATE_NODE id=n_ed2b04889c30 node_type=claim\nt=0020 CREATE_NODE id=n_5607ae42da9c node_type=claim\nt=0021 CREATE_NODE id=n_16d22dbd1582 node_type=claim\nt=0022 CREATE_NODE id=n_b52405e984a8 node_type=claim\nt=0023 CREATE_NODE id=n_8ea7c7c63734 node_type=claim\nt=0024 ASSERT_ROOT node=n_fc9515e02850 value=TRUE\nt=0025 ADD_EDGE edge_id=e_d369ed0bdbb1 source=n_506284ce7e69 edge_type=refutes target=n_b52405e984a8\nt=0026 ADD_EDGE edge_id=e_a5e51cf046ba source=n_2bdd82f2accf edge_type=supports target=n_430c1061e4ae\nt=0027 ADD_EDGE edge_id=e_f52b96d877d1 source=n_ed2b04889c30 edge_type=supports target=n_040c576c635c\nt=0028 ADD_EDGE edge_id=e_f41767ef6b6f source=n_430c1061e4ae edge_type=supports target=n_ffce660770df\nt=0029 ADD_EDGE edge_id=e_1fa48270dcea source=n_ffce660770df edge_type=refutes target=n_4ebc2fa75aef\nt=0030 ADD_EDGE edge_id=e_2d66b07c16ef source=n_5e5ecfa11d9a edge_type=refutes target=n_7d9c408bb929\nt=0031 ADD_EDGE edge_id=e_0acc2292e7fa source=n_d5d8da57a0ed edge_type=supports target=n_3286cea91fac\nt=0032 ADD_EDGE edge_id=e_1d0db38d12de source=n_099134d36ac0 edge_type=refutes target=n_7271ea1b536b\nt=0033 ADD_EDGE edge_id=e_397af0042906 source=n_7d9c408bb929 edge_type=supports target=n_506284ce7e69\nt=0034 ADD_EDGE edge_id=e_683297aa874f source=n_d5d8da57a0ed edge_type=refutes target=n_16d22dbd1582\nt=0035 ADD_EDGE edge_id=e_bfcea2ddd091 source=n_2bdd82f2accf edge_type=supports target=n_abcc9808e3d6\nt=0036 ADD_EDGE edge_id=e_c74309e69c08 source=n_3286cea91fac edge_type=refutes target=n_a214018763d7\nt=0037 ADD_EDGE edge_id=e_0b4d8424f2d3 source=n_3286cea91fac edge_type=supports target=n_27c4bca87745\nt=0038 ADD_EDGE edge_id=e_217022ed7712 source=n_abcc9808e3d6 edge_type=supports target=n_8ea7c7c63734\nt=0039 ADD_EDGE edge_id=e_13b08656aa0b source=n_576c2dc712b5 edge_type=refutes target=n_5607ae42da9c\nt=0040 ADD_EDGE edge_id=e_8e255b962021 source=n_fc9515e02850 edge_type=refutes target=n_d5d8da57a0ed\nt=0041 ADD_EDGE edge_id=e_7d51e4f6e372 source=n_abcc9808e3d6 edge_type=refutes target=n_099134d36ac0\nt=0042 ADD_EDGE edge_id=e_3d1c82846a83 source=n_3286cea91fac edge_type=supports target=n_2dd6ae98533b\nt=0043 ADD_EDGE edge_id=e_9d7430897f9c source=n_2dd6ae98533b edge_type=supports target=n_5e5ecfa11d9a\nt=0044 ADD_EDGE edge_id=e_bd620d5309f3 source=n_2bdd82f2accf edge_type=refutes target=n_ed2b04889c30\nt=0045 ADD_EDGE edge_id=e_919876b3a8c2 source=n_430c1061e4ae edge_type=refutes target=n_576c2dc712b5\nt=0046 ADD_EDGE edge_id=e_432b163eaf2d source=n_3286cea91fac edge_type=supports target=n_537404603ca6\nt=0047 QUERY source=n_fc9515e02850 target=n_b52405e984a8\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2239,"provenance":{"base_record_id":"train-d07-045","dataset":"livegraph-deterministic-parity-v3","depth":7,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d07-045","split":"train","variant":"clean"},"record_seed":160600288344049890,"render_sha256":"2c005a977e9e4dc50490ee456831ecd168ee3e2ffbfc5fd41341dfa5261388d1","representation":"linear_trace","semantic_sha256":"e51064dc7fc49d92b452c35d8c71bd9114ad84037e70328e9350eb73886600e2"}
{"char_count":4158,"item_id":"train-d07-046::linear_trace","label":"TRUE","lexical_token_proxy_count":712,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_e7d738f13f4d node_type=claim\nt=0001 CREATE_NODE id=n_6348d51d59da node_type=claim\nt=0002 CREATE_NODE id=n_2a2b5bf845a3 node_type=claim\nt=0003 CREATE_NODE id=n_95e146e038d4 node_type=claim\nt=0004 CREATE_NODE id=n_0edfffa38091 node_type=claim\nt=0005 CREATE_NODE id=n_7cb4dbd65e2c node_type=claim\nt=0006 CREATE_NODE id=n_d827fe058611 node_type=claim\nt=0007 CREATE_NODE id=n_f68d98a55c1a node_type=claim\nt=0008 CREATE_NODE id=n_c436f1b20e5e node_type=claim\nt=0009 CREATE_NODE id=n_74f9a9878c56 node_type=claim\nt=0010 CREATE_NODE id=n_2d4f9a096957 node_type=claim\nt=0011 CREATE_NODE id=n_f6fcb28b12e6 node_type=claim\nt=0012 CREATE_NODE id=n_d8f68ba7e1fa node_type=claim\nt=0013 CREATE_NODE id=n_78efa7c762bd node_type=claim\nt=0014 CREATE_NODE id=n_004acb4a20af node_type=claim\nt=0015 CREATE_NODE id=n_3eeb1fde0673 node_type=claim\nt=0016 CREATE_NODE id=n_a61f1a2d90d7 node_type=claim\nt=0017 CREATE_NODE id=n_c261df126c3e node_type=claim\nt=0018 CREATE_NODE id=n_009c6e0b78ea node_type=claim\nt=0019 CREATE_NODE id=n_cfa754092d40 node_type=claim\nt=0020 CREATE_NODE id=n_28ae138e8a9c node_type=claim\nt=0021 CREATE_NODE id=n_3c3162bf8b04 node_type=claim\nt=0022 CREATE_NODE id=n_9f91999642de node_type=claim\nt=0023 CREATE_NODE id=n_ce556fb812c6 node_type=claim\nt=0024 ASSERT_ROOT node=n_e7d738f13f4d value=FALSE\nt=0025 ADD_EDGE edge_id=e_bd7fe9fc62c5 source=n_004acb4a20af edge_type=refutes target=n_28ae138e8a9c\nt=0026 ADD_EDGE edge_id=e_9bee3ce0c0a1 source=n_28ae138e8a9c edge_type=refutes target=n_a61f1a2d90d7\nt=0027 ADD_EDGE edge_id=e_0383469efa90 source=n_009c6e0b78ea edge_type=supports target=n_6348d51d59da\nt=0028 ADD_EDGE edge_id=e_fa2fb75a7dd2 source=n_78efa7c762bd edge_type=refutes target=n_c436f1b20e5e\nt=0029 ADD_EDGE edge_id=e_56838592d3a9 source=n_f68d98a55c1a edge_type=refutes target=n_74f9a9878c56\nt=0030 ADD_EDGE edge_id=e_922678a8b351 source=n_3eeb1fde0673 edge_type=supports target=n_d8f68ba7e1fa\nt=0031 ADD_EDGE edge_id=e_5b98a7145a95 source=n_3eeb1fde0673 edge_type=supports target=n_cfa754092d40\nt=0032 ADD_EDGE edge_id=e_90cc1bbfde5d source=n_e7d738f13f4d edge_type=refutes target=n_7cb4dbd65e2c\nt=0033 ADD_EDGE edge_id=e_71e22b762e1e source=n_f68d98a55c1a edge_type=supports target=n_95e146e038d4\nt=0034 ADD_EDGE edge_id=e_1a32da08b2d3 source=n_7cb4dbd65e2c edge_type=supports target=n_0edfffa38091\nt=0035 ADD_EDGE edge_id=e_dbd6cb986938 source=n_009c6e0b78ea edge_type=refutes target=n_ce556fb812c6\nt=0036 ADD_EDGE edge_id=e_55177e12d564 source=n_3eeb1fde0673 edge_type=refutes target=n_3c3162bf8b04\nt=0037 ADD_EDGE edge_id=e_f089794f505a source=n_f68d98a55c1a edge_type=refutes target=n_78efa7c762bd\nt=0038 ADD_EDGE edge_id=e_a3f07c3e407e source=n_cfa754092d40 edge_type=refutes target=n_f68d98a55c1a\nt=0039 ADD_EDGE edge_id=e_2884b28d266d source=n_6348d51d59da edge_type=refutes target=n_004acb4a20af\nt=0040 ADD_EDGE edge_id=e_b301fff419de source=n_2a2b5bf845a3 edge_type=supports target=n_009c6e0b78ea\nt=0041 ADD_EDGE edge_id=e_6604aaa4755a source=n_d8f68ba7e1fa edge_type=refutes target=n_f6fcb28b12e6\nt=0042 ADD_EDGE edge_id=e_2c41c54bc1d4 source=n_7cb4dbd65e2c edge_type=supports target=n_9f91999642de\nt=0043 ADD_EDGE edge_id=e_1cce718f86d0 source=n_9f91999642de edge_type=supports target=n_2a2b5bf845a3\nt=0044 ADD_EDGE edge_id=e_cc62fa579bbc source=n_2d4f9a096957 edge_type=supports target=n_3eeb1fde0673\nt=0045 ADD_EDGE edge_id=e_ff14d42f2151 source=n_e7d738f13f4d edge_type=supports target=n_c261df126c3e\nt=0046 ADD_EDGE edge_id=e_35ab8a368e2f source=n_95e146e038d4 edge_type=supports target=n_d827fe058611\nt=0047 QUERY source=n_e7d738f13f4d target=n_28ae138e8a9c\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2278,"provenance":{"base_record_id":"train-d07-046","dataset":"livegraph-deterministic-parity-v3","depth":7,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d07-046","split":"train","variant":"clean"},"record_seed":933979871329681906,"render_sha256":"f5d0365be998b90de6f2c2ef5f7747ecaf13437ef65f2c78a96f608af61a541c","representation":"linear_trace","semantic_sha256":"7ea79305712faa3f6ec0e0ec963275471f74ad74edf91045326c3c64ce6fa545"}
{"char_count":4158,"item_id":"train-d07-047::linear_trace","label":"FALSE","lexical_token_proxy_count":712,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_1537cb36e204 node_type=claim\nt=0001 CREATE_NODE id=n_369feb3f2819 node_type=claim\nt=0002 CREATE_NODE id=n_82b836927a9b node_type=claim\nt=0003 CREATE_NODE id=n_3a6ab1f076a3 node_type=claim\nt=0004 CREATE_NODE id=n_ce795e081de6 node_type=claim\nt=0005 CREATE_NODE id=n_c0d8e7a151a5 node_type=claim\nt=0006 CREATE_NODE id=n_3488399d31a2 node_type=claim\nt=0007 CREATE_NODE id=n_21f0a2a26f4f node_type=claim\nt=0008 CREATE_NODE id=n_26ba5fb3e40d node_type=claim\nt=0009 CREATE_NODE id=n_48c3c11f6bd0 node_type=claim\nt=0010 CREATE_NODE id=n_76080c8fef86 node_type=claim\nt=0011 CREATE_NODE id=n_39371d509abd node_type=claim\nt=0012 CREATE_NODE id=n_39fb6d85c9fb node_type=claim\nt=0013 CREATE_NODE id=n_7632a8ec13e2 node_type=claim\nt=0014 CREATE_NODE id=n_6dbb2871420c node_type=claim\nt=0015 CREATE_NODE id=n_41bda81fe22d node_type=claim\nt=0016 CREATE_NODE id=n_e2e3fe040f23 node_type=claim\nt=0017 CREATE_NODE id=n_72f727d6a637 node_type=claim\nt=0018 CREATE_NODE id=n_3005321100e7 node_type=claim\nt=0019 CREATE_NODE id=n_0b629b4dffd1 node_type=claim\nt=0020 CREATE_NODE id=n_d8847acf12d8 node_type=claim\nt=0021 CREATE_NODE id=n_ce405b35524d node_type=claim\nt=0022 CREATE_NODE id=n_385eb56245dc node_type=claim\nt=0023 CREATE_NODE id=n_6b629da396b2 node_type=claim\nt=0024 ASSERT_ROOT node=n_ce405b35524d value=FALSE\nt=0025 ADD_EDGE edge_id=e_f043dcd1a3f4 source=n_ce405b35524d edge_type=refutes target=n_0b629b4dffd1\nt=0026 ADD_EDGE edge_id=e_6815c1911d8e source=n_39fb6d85c9fb edge_type=refutes target=n_41bda81fe22d\nt=0027 ADD_EDGE edge_id=e_03e186933366 source=n_72f727d6a637 edge_type=supports target=n_6dbb2871420c\nt=0028 ADD_EDGE edge_id=e_0745a922d29f source=n_3005321100e7 edge_type=supports target=n_ce795e081de6\nt=0029 ADD_EDGE edge_id=e_e177b706e824 source=n_ce795e081de6 edge_type=refutes target=n_1537cb36e204\nt=0030 ADD_EDGE edge_id=e_58c050c900b4 source=n_6dbb2871420c edge_type=refutes target=n_3488399d31a2\nt=0031 ADD_EDGE edge_id=e_75fbcf988c2d source=n_1537cb36e204 edge_type=supports target=n_3a6ab1f076a3\nt=0032 ADD_EDGE edge_id=e_6a8b04747cc0 source=n_6dbb2871420c edge_type=supports target=n_39371d509abd\nt=0033 ADD_EDGE edge_id=e_ca2dc5e6745c source=n_26ba5fb3e40d edge_type=refutes target=n_21f0a2a26f4f\nt=0034 ADD_EDGE edge_id=e_fd13e2f808c3 source=n_d8847acf12d8 edge_type=refutes target=n_82b836927a9b\nt=0035 ADD_EDGE edge_id=e_bbf25d686f39 source=n_82b836927a9b edge_type=supports target=n_6b629da396b2\nt=0036 ADD_EDGE edge_id=e_f500c057cda2 source=n_48c3c11f6bd0 edge_type=refutes target=n_385eb56245dc\nt=0037 ADD_EDGE edge_id=e_f87ad4c509b4 source=n_39fb6d85c9fb edge_type=refutes target=n_3005321100e7\nt=0038 ADD_EDGE edge_id=e_5abee428c489 source=n_369feb3f2819 edge_type=refutes target=n_e2e3fe040f23\nt=0039 ADD_EDGE edge_id=e_8f6304e34835 source=n_ce405b35524d edge_type=supports target=n_7632a8ec13e2\nt=0040 ADD_EDGE edge_id=e_86879a6521bc source=n_26ba5fb3e40d edge_type=supports target=n_72f727d6a637\nt=0041 ADD_EDGE edge_id=e_46ef40f50002 source=n_26ba5fb3e40d edge_type=refutes target=n_76080c8fef86\nt=0042 ADD_EDGE edge_id=e_ccff4fad4900 source=n_72f727d6a637 edge_type=supports target=n_d8847acf12d8\nt=0043 ADD_EDGE edge_id=e_31d053481e54 source=n_0b629b4dffd1 edge_type=supports target=n_39fb6d85c9fb\nt=0044 ADD_EDGE edge_id=e_5679bf303416 source=n_82b836927a9b edge_type=supports target=n_48c3c11f6bd0\nt=0045 ADD_EDGE edge_id=e_beab5370b6b9 source=n_c0d8e7a151a5 edge_type=supports target=n_369feb3f2819\nt=0046 ADD_EDGE edge_id=e_46837509da0f source=n_1537cb36e204 edge_type=refutes target=n_c0d8e7a151a5\nt=0047 QUERY source=n_ce405b35524d target=n_369feb3f2819\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2282,"provenance":{"base_record_id":"train-d07-047","dataset":"livegraph-deterministic-parity-v3","depth":7,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d07-047","split":"train","variant":"clean"},"record_seed":950039346540576514,"render_sha256":"4f99599a8313b617f675eac8b97eaed25ee7a831279bfe25ae50505f3d797e6d","representation":"linear_trace","semantic_sha256":"734e374ff146fa9a83bd899f7b65146aae16636534cf567fa31f0814bf9a1d55"}
{"char_count":4466,"item_id":"train-d08-000::linear_trace","label":"TRUE","lexical_token_proxy_count":764,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_b5f47b720193 node_type=claim\nt=0001 CREATE_NODE id=n_e113b7536d25 node_type=claim\nt=0002 CREATE_NODE id=n_57bba3de3318 node_type=claim\nt=0003 CREATE_NODE id=n_53f00bb479d6 node_type=claim\nt=0004 CREATE_NODE id=n_4d7df39db7ce node_type=claim\nt=0005 CREATE_NODE id=n_ba9a2c9ae21b node_type=claim\nt=0006 CREATE_NODE id=n_6dcc01b38a6f node_type=claim\nt=0007 CREATE_NODE id=n_de56d69a7a4f node_type=claim\nt=0008 CREATE_NODE id=n_be7be98fe134 node_type=claim\nt=0009 CREATE_NODE id=n_cccb6984da59 node_type=claim\nt=0010 CREATE_NODE id=n_979c2a60f9a3 node_type=claim\nt=0011 CREATE_NODE id=n_cb6f120ede0f node_type=claim\nt=0012 CREATE_NODE id=n_cbaa753edf80 node_type=claim\nt=0013 CREATE_NODE id=n_cd11e9f6b21e node_type=claim\nt=0014 CREATE_NODE id=n_f0fae4dfe15c node_type=claim\nt=0015 CREATE_NODE id=n_47d6f0fa0872 node_type=claim\nt=0016 CREATE_NODE id=n_7bfe4106ebd3 node_type=claim\nt=0017 CREATE_NODE id=n_ac15dfce2232 node_type=claim\nt=0018 CREATE_NODE id=n_d8914f515dbf node_type=claim\nt=0019 CREATE_NODE id=n_6f8037f74de1 node_type=claim\nt=0020 CREATE_NODE id=n_a4b9bfba306e node_type=claim\nt=0021 CREATE_NODE id=n_1d90cec649be node_type=claim\nt=0022 CREATE_NODE id=n_563b1b925e71 node_type=claim\nt=0023 CREATE_NODE id=n_dd8a485c6de0 node_type=claim\nt=0024 CREATE_NODE id=n_eb3a29909f22 node_type=claim\nt=0025 CREATE_NODE id=n_fd9d9d8d1678 node_type=claim\nt=0026 ASSERT_ROOT node=n_dd8a485c6de0 value=TRUE\nt=0027 ADD_EDGE edge_id=e_c7c890afd95f source=n_eb3a29909f22 edge_type=supports target=n_a4b9bfba306e\nt=0028 ADD_EDGE edge_id=e_8c44c88a1634 source=n_7bfe4106ebd3 edge_type=supports target=n_cb6f120ede0f\nt=0029 ADD_EDGE edge_id=e_1415d83a0f17 source=n_cd11e9f6b21e edge_type=refutes target=n_d8914f515dbf\nt=0030 ADD_EDGE edge_id=e_9a32d742e727 source=n_979c2a60f9a3 edge_type=refutes target=n_6dcc01b38a6f\nt=0031 ADD_EDGE edge_id=e_15e474b4dea8 source=n_cccb6984da59 edge_type=supports target=n_57bba3de3318\nt=0032 ADD_EDGE edge_id=e_f4221eda227d source=n_57bba3de3318 edge_type=supports target=n_ac15dfce2232\nt=0033 ADD_EDGE edge_id=e_a2d47aca6689 source=n_cccb6984da59 edge_type=supports target=n_6f8037f74de1\nt=0034 ADD_EDGE edge_id=e_701fbd4ad3dd source=n_cd11e9f6b21e edge_type=refutes target=n_f0fae4dfe15c\nt=0035 ADD_EDGE edge_id=e_cc071ba7905e source=n_be7be98fe134 edge_type=refutes target=n_7bfe4106ebd3\nt=0036 ADD_EDGE edge_id=e_76458c387b07 source=n_563b1b925e71 edge_type=supports target=n_cd11e9f6b21e\nt=0037 ADD_EDGE edge_id=e_ea2bb283619c source=n_cb6f120ede0f edge_type=refutes target=n_563b1b925e71\nt=0038 ADD_EDGE edge_id=e_e7eb8e7cc580 source=n_cccb6984da59 edge_type=supports target=n_979c2a60f9a3\nt=0039 ADD_EDGE edge_id=e_d67887c1e317 source=n_be7be98fe134 edge_type=supports target=n_47d6f0fa0872\nt=0040 ADD_EDGE edge_id=e_6f095370258d source=n_6dcc01b38a6f edge_type=supports target=n_cbaa753edf80\nt=0041 ADD_EDGE edge_id=e_68a89ec92383 source=n_cccb6984da59 edge_type=refutes target=n_eb3a29909f22\nt=0042 ADD_EDGE edge_id=e_e563763daf76 source=n_979c2a60f9a3 edge_type=refutes target=n_e113b7536d25\nt=0043 ADD_EDGE edge_id=e_9f0caafc74fd source=n_e113b7536d25 edge_type=supports target=n_b5f47b720193\nt=0044 ADD_EDGE edge_id=e_67a927d6881e source=n_dd8a485c6de0 edge_type=supports target=n_4d7df39db7ce\nt=0045 ADD_EDGE edge_id=e_c7a745e02dce source=n_979c2a60f9a3 edge_type=supports target=n_ba9a2c9ae21b\nt=0046 ADD_EDGE edge_id=e_93134fb9a961 source=n_53f00bb479d6 edge_type=refutes target=n_be7be98fe134\nt=0047 ADD_EDGE edge_id=e_26a8870e33e5 source=n_979c2a60f9a3 edge_type=refutes target=n_fd9d9d8d1678\nt=0048 ADD_EDGE edge_id=e_12c05b748846 source=n_f0fae4dfe15c edge_type=refutes target=n_de56d69a7a4f\nt=0049 ADD_EDGE edge_id=e_62b3c1c94658 source=n_dd8a485c6de0 edge_type=refutes target=n_53f00bb479d6\nt=0050 ADD_EDGE edge_id=e_0c877455f207 source=n_cb6f120ede0f edge_type=refutes target=n_1d90cec649be\nt=0051 QUERY source=n_dd8a485c6de0 target=n_de56d69a7a4f\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2422,"provenance":{"base_record_id":"train-d08-000","dataset":"livegraph-deterministic-parity-v3","depth":8,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d08-000","split":"train","variant":"clean"},"record_seed":859724318610412311,"render_sha256":"dd57505709b360095a4b78b17575ef31c61f9bd7f4495c554b2095d1d5e8a5b0","representation":"linear_trace","semantic_sha256":"be1b2d5d0e58072b583ba2349160b51f551b0641d521ca91dd4e4b64e2e21822"}
{"char_count":4466,"item_id":"train-d08-001::linear_trace","label":"FALSE","lexical_token_proxy_count":764,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_ce522958b0f1 node_type=claim\nt=0001 CREATE_NODE id=n_82c56396acb9 node_type=claim\nt=0002 CREATE_NODE id=n_ea533d68fcad node_type=claim\nt=0003 CREATE_NODE id=n_312bc874ed1f node_type=claim\nt=0004 CREATE_NODE id=n_6068d30ed6e1 node_type=claim\nt=0005 CREATE_NODE id=n_af36455c25fb node_type=claim\nt=0006 CREATE_NODE id=n_ab33881fd531 node_type=claim\nt=0007 CREATE_NODE id=n_0720f0b4d593 node_type=claim\nt=0008 CREATE_NODE id=n_a1f2efb8b349 node_type=claim\nt=0009 CREATE_NODE id=n_70727f2ffba7 node_type=claim\nt=0010 CREATE_NODE id=n_0de0dd14fe49 node_type=claim\nt=0011 CREATE_NODE id=n_d2d8cefe5ad1 node_type=claim\nt=0012 CREATE_NODE id=n_c147419f0cdb node_type=claim\nt=0013 CREATE_NODE id=n_e709f4cbaa8d node_type=claim\nt=0014 CREATE_NODE id=n_866cedd7a2d5 node_type=claim\nt=0015 CREATE_NODE id=n_f9ee70d98f8c node_type=claim\nt=0016 CREATE_NODE id=n_857054020f9a node_type=claim\nt=0017 CREATE_NODE id=n_927bc0b2d3c6 node_type=claim\nt=0018 CREATE_NODE id=n_e3b6e839db91 node_type=claim\nt=0019 CREATE_NODE id=n_5c2e4257c9d5 node_type=claim\nt=0020 CREATE_NODE id=n_e654c9fcd7a6 node_type=claim\nt=0021 CREATE_NODE id=n_53562be12243 node_type=claim\nt=0022 CREATE_NODE id=n_20a975e690b7 node_type=claim\nt=0023 CREATE_NODE id=n_d6a1cc720f1b node_type=claim\nt=0024 CREATE_NODE id=n_d00d26b82793 node_type=claim\nt=0025 CREATE_NODE id=n_ec9fe8815970 node_type=claim\nt=0026 ASSERT_ROOT node=n_c147419f0cdb value=TRUE\nt=0027 ADD_EDGE edge_id=e_2f955d0f741d source=n_70727f2ffba7 edge_type=supports target=n_d2d8cefe5ad1\nt=0028 ADD_EDGE edge_id=e_582abd8a8492 source=n_0720f0b4d593 edge_type=refutes target=n_ab33881fd531\nt=0029 ADD_EDGE edge_id=e_2e93092111ed source=n_0de0dd14fe49 edge_type=refutes target=n_d6a1cc720f1b\nt=0030 ADD_EDGE edge_id=e_f5e649c6a07b source=n_6068d30ed6e1 edge_type=supports target=n_312bc874ed1f\nt=0031 ADD_EDGE edge_id=e_5cd928ef2035 source=n_20a975e690b7 edge_type=supports target=n_927bc0b2d3c6\nt=0032 ADD_EDGE edge_id=e_3de30fed065c source=n_927bc0b2d3c6 edge_type=refutes target=n_53562be12243\nt=0033 ADD_EDGE edge_id=e_17f10780f68e source=n_53562be12243 edge_type=refutes target=n_ea533d68fcad\nt=0034 ADD_EDGE edge_id=e_beb696c83809 source=n_70727f2ffba7 edge_type=refutes target=n_e3b6e839db91\nt=0035 ADD_EDGE edge_id=e_b31bfd41246c source=n_af36455c25fb edge_type=supports target=n_d00d26b82793\nt=0036 ADD_EDGE edge_id=e_8a8c67e602af source=n_866cedd7a2d5 edge_type=supports target=n_0720f0b4d593\nt=0037 ADD_EDGE edge_id=e_0b0ae2672a69 source=n_e654c9fcd7a6 edge_type=refutes target=n_0de0dd14fe49\nt=0038 ADD_EDGE edge_id=e_fa1f9c4512b9 source=n_c147419f0cdb edge_type=refutes target=n_ce522958b0f1\nt=0039 ADD_EDGE edge_id=e_cf46ce211a00 source=n_c147419f0cdb edge_type=supports target=n_af36455c25fb\nt=0040 ADD_EDGE edge_id=e_187ab8a7e381 source=n_d6a1cc720f1b edge_type=supports target=n_20a975e690b7\nt=0041 ADD_EDGE edge_id=e_d5832e002245 source=n_c147419f0cdb edge_type=refutes target=n_857054020f9a\nt=0042 ADD_EDGE edge_id=e_513146000232 source=n_70727f2ffba7 edge_type=refutes target=n_a1f2efb8b349\nt=0043 ADD_EDGE edge_id=e_af0f32dab046 source=n_312bc874ed1f edge_type=refutes target=n_866cedd7a2d5\nt=0044 ADD_EDGE edge_id=e_b0eb1935942d source=n_70727f2ffba7 edge_type=supports target=n_ec9fe8815970\nt=0045 ADD_EDGE edge_id=e_bc105eefb894 source=n_d6a1cc720f1b edge_type=supports target=n_82c56396acb9\nt=0046 ADD_EDGE edge_id=e_097bcecad2df source=n_70727f2ffba7 edge_type=refutes target=n_6068d30ed6e1\nt=0047 ADD_EDGE edge_id=e_0d2eb6910878 source=n_e3b6e839db91 edge_type=refutes target=n_5c2e4257c9d5\nt=0048 ADD_EDGE edge_id=e_d138d96727cb source=n_0720f0b4d593 edge_type=supports target=n_e709f4cbaa8d\nt=0049 ADD_EDGE edge_id=e_a141906a97d5 source=n_866cedd7a2d5 edge_type=supports target=n_f9ee70d98f8c\nt=0050 ADD_EDGE edge_id=e_1d12631d1fa7 source=n_d00d26b82793 edge_type=supports target=n_e654c9fcd7a6\nt=0051 QUERY source=n_c147419f0cdb target=n_53562be12243\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2449,"provenance":{"base_record_id":"train-d08-001","dataset":"livegraph-deterministic-parity-v3","depth":8,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d08-001","split":"train","variant":"clean"},"record_seed":916517214766026817,"render_sha256":"f8955767b3b8a7c3708deafdd0e5cfb7c8ef6b77a4fae9df5ed18fb8f116c1dc","representation":"linear_trace","semantic_sha256":"a52d8e438f19eeda71900ae2968c7bb0f443f2861b31d4b70cf83f213ade3162"}
{"char_count":4467,"item_id":"train-d08-002::linear_trace","label":"TRUE","lexical_token_proxy_count":764,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_af9d024bb21c node_type=claim\nt=0001 CREATE_NODE id=n_fa4306c419ac node_type=claim\nt=0002 CREATE_NODE id=n_6a8df1330226 node_type=claim\nt=0003 CREATE_NODE id=n_bb7991e3465d node_type=claim\nt=0004 CREATE_NODE id=n_52d7efcf26f2 node_type=claim\nt=0005 CREATE_NODE id=n_2d2f3e6b673a node_type=claim\nt=0006 CREATE_NODE id=n_a1b1b1819ca7 node_type=claim\nt=0007 CREATE_NODE id=n_9552c02127ce node_type=claim\nt=0008 CREATE_NODE id=n_f8196a455f1d node_type=claim\nt=0009 CREATE_NODE id=n_3eaadb0e1c76 node_type=claim\nt=0010 CREATE_NODE id=n_9d5f961a99ce node_type=claim\nt=0011 CREATE_NODE id=n_5b19ccacc7a2 node_type=claim\nt=0012 CREATE_NODE id=n_18da18de9605 node_type=claim\nt=0013 CREATE_NODE id=n_3bc6bc45903e node_type=claim\nt=0014 CREATE_NODE id=n_744784e231f9 node_type=claim\nt=0015 CREATE_NODE id=n_c01e3aac3eab node_type=claim\nt=0016 CREATE_NODE id=n_bd99bf6bce30 node_type=claim\nt=0017 CREATE_NODE id=n_005236c80736 node_type=claim\nt=0018 CREATE_NODE id=n_4be9e135b266 node_type=claim\nt=0019 CREATE_NODE id=n_f14b5ca6dd30 node_type=claim\nt=0020 CREATE_NODE id=n_6a53d4d7656e node_type=claim\nt=0021 CREATE_NODE id=n_70effd11bc3a node_type=claim\nt=0022 CREATE_NODE id=n_25da39d75afe node_type=claim\nt=0023 CREATE_NODE id=n_e7b11d50aff8 node_type=claim\nt=0024 CREATE_NODE id=n_f2991678cf25 node_type=claim\nt=0025 CREATE_NODE id=n_c9305a02897d node_type=claim\nt=0026 ASSERT_ROOT node=n_c9305a02897d value=FALSE\nt=0027 ADD_EDGE edge_id=e_a0dfa3610fe3 source=n_70effd11bc3a edge_type=refutes target=n_005236c80736\nt=0028 ADD_EDGE edge_id=e_b0ab90fd1c99 source=n_c01e3aac3eab edge_type=supports target=n_fa4306c419ac\nt=0029 ADD_EDGE edge_id=e_bee4fc2a16ce source=n_fa4306c419ac edge_type=supports target=n_52d7efcf26f2\nt=0030 ADD_EDGE edge_id=e_e9d3efd30881 source=n_25da39d75afe edge_type=refutes target=n_18da18de9605\nt=0031 ADD_EDGE edge_id=e_a9a4d871eef4 source=n_a1b1b1819ca7 edge_type=refutes target=n_9d5f961a99ce\nt=0032 ADD_EDGE edge_id=e_05b9e7979129 source=n_9d5f961a99ce edge_type=supports target=n_6a53d4d7656e\nt=0033 ADD_EDGE edge_id=e_e0796df4f2c9 source=n_5b19ccacc7a2 edge_type=refutes target=n_a1b1b1819ca7\nt=0034 ADD_EDGE edge_id=e_612addb044a6 source=n_6a8df1330226 edge_type=supports target=n_3eaadb0e1c76\nt=0035 ADD_EDGE edge_id=e_b9bbb2e68576 source=n_18da18de9605 edge_type=supports target=n_744784e231f9\nt=0036 ADD_EDGE edge_id=e_3c1070f04f65 source=n_52d7efcf26f2 edge_type=refutes target=n_bd99bf6bce30\nt=0037 ADD_EDGE edge_id=e_8f98fcc09c7d source=n_c9305a02897d edge_type=supports target=n_c01e3aac3eab\nt=0038 ADD_EDGE edge_id=e_b13e6e1e0dab source=n_bd99bf6bce30 edge_type=supports target=n_5b19ccacc7a2\nt=0039 ADD_EDGE edge_id=e_2616782bc66c source=n_af9d024bb21c edge_type=supports target=n_9552c02127ce\nt=0040 ADD_EDGE edge_id=e_0cbfc0279fa9 source=n_6a8df1330226 edge_type=refutes target=n_70effd11bc3a\nt=0041 ADD_EDGE edge_id=e_b340f9ecc868 source=n_c9305a02897d edge_type=supports target=n_2d2f3e6b673a\nt=0042 ADD_EDGE edge_id=e_50b7bc4cbbeb source=n_3bc6bc45903e edge_type=supports target=n_6a8df1330226\nt=0043 ADD_EDGE edge_id=e_acaa74428a6c source=n_25da39d75afe edge_type=refutes target=n_3bc6bc45903e\nt=0044 ADD_EDGE edge_id=e_163c5f95a405 source=n_3bc6bc45903e edge_type=refutes target=n_bb7991e3465d\nt=0045 ADD_EDGE edge_id=e_0058c88ac91e source=n_70effd11bc3a edge_type=refutes target=n_e7b11d50aff8\nt=0046 ADD_EDGE edge_id=e_2a3db2fdc904 source=n_af9d024bb21c edge_type=supports target=n_f8196a455f1d\nt=0047 ADD_EDGE edge_id=e_2fd71f44a209 source=n_6a8df1330226 edge_type=refutes target=n_af9d024bb21c\nt=0048 ADD_EDGE edge_id=e_d175f97c0c33 source=n_6a53d4d7656e edge_type=supports target=n_f2991678cf25\nt=0049 ADD_EDGE edge_id=e_94d461d8db49 source=n_9d5f961a99ce edge_type=refutes target=n_f14b5ca6dd30\nt=0050 ADD_EDGE edge_id=e_0e4420ba007d source=n_c9305a02897d edge_type=refutes target=n_4be9e135b266\nt=0051 QUERY source=n_c9305a02897d target=n_6a53d4d7656e\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2426,"provenance":{"base_record_id":"train-d08-002","dataset":"livegraph-deterministic-parity-v3","depth":8,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d08-002","split":"train","variant":"clean"},"record_seed":389897200439250544,"render_sha256":"954fbac7ae53423536b6e8b66eb1384ed0c6630944552681e28beab9e564d457","representation":"linear_trace","semantic_sha256":"9d265a9c359d24840ba498df6d81368eabfadbe13cfc1bbd303e963dc1ae30c8"}
{"char_count":4467,"item_id":"train-d08-003::linear_trace","label":"FALSE","lexical_token_proxy_count":764,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_cb4cec3f634e node_type=claim\nt=0001 CREATE_NODE id=n_5c6f6dbb076e node_type=claim\nt=0002 CREATE_NODE id=n_bc86a681a4d0 node_type=claim\nt=0003 CREATE_NODE id=n_e8bfb09397f2 node_type=claim\nt=0004 CREATE_NODE id=n_92ad460b68a1 node_type=claim\nt=0005 CREATE_NODE id=n_fcd35999b57c node_type=claim\nt=0006 CREATE_NODE id=n_10ed358365f5 node_type=claim\nt=0007 CREATE_NODE id=n_f0e8d583150f node_type=claim\nt=0008 CREATE_NODE id=n_638136ba2d9c node_type=claim\nt=0009 CREATE_NODE id=n_88eaa4938f3e node_type=claim\nt=0010 CREATE_NODE id=n_9583c4348088 node_type=claim\nt=0011 CREATE_NODE id=n_814828d02ea5 node_type=claim\nt=0012 CREATE_NODE id=n_3ecf29091a97 node_type=claim\nt=0013 CREATE_NODE id=n_e7da92c50a37 node_type=claim\nt=0014 CREATE_NODE id=n_b3597ec21a7b node_type=claim\nt=0015 CREATE_NODE id=n_12fd852a2f84 node_type=claim\nt=0016 CREATE_NODE id=n_45fd4e570260 node_type=claim\nt=0017 CREATE_NODE id=n_443141997044 node_type=claim\nt=0018 CREATE_NODE id=n_ea2df3c6795c node_type=claim\nt=0019 CREATE_NODE id=n_ddb1a90d1ac7 node_type=claim\nt=0020 CREATE_NODE id=n_540bf882f1ee node_type=claim\nt=0021 CREATE_NODE id=n_ad6176d465f7 node_type=claim\nt=0022 CREATE_NODE id=n_6639bccf3223 node_type=claim\nt=0023 CREATE_NODE id=n_2f98fd904af3 node_type=claim\nt=0024 CREATE_NODE id=n_2924531c5d70 node_type=claim\nt=0025 CREATE_NODE id=n_d074d68dd6ed node_type=claim\nt=0026 ASSERT_ROOT node=n_10ed358365f5 value=FALSE\nt=0027 ADD_EDGE edge_id=e_3cfedb295ca5 source=n_92ad460b68a1 edge_type=refutes target=n_bc86a681a4d0\nt=0028 ADD_EDGE edge_id=e_cb0775886168 source=n_b3597ec21a7b edge_type=supports target=n_638136ba2d9c\nt=0029 ADD_EDGE edge_id=e_26405f48dd12 source=n_9583c4348088 edge_type=supports target=n_88eaa4938f3e\nt=0030 ADD_EDGE edge_id=e_224a97448a3e source=n_fcd35999b57c edge_type=supports target=n_d074d68dd6ed\nt=0031 ADD_EDGE edge_id=e_649b115dc770 source=n_fcd35999b57c edge_type=refutes target=n_3ecf29091a97\nt=0032 ADD_EDGE edge_id=e_ad1bca266934 source=n_443141997044 edge_type=supports target=n_2924531c5d70\nt=0033 ADD_EDGE edge_id=e_ff3dc20d261b source=n_814828d02ea5 edge_type=refutes target=n_540bf882f1ee\nt=0034 ADD_EDGE edge_id=e_3a9b06bc3fdc source=n_cb4cec3f634e edge_type=refutes target=n_12fd852a2f84\nt=0035 ADD_EDGE edge_id=e_e6e4eea0641e source=n_2f98fd904af3 edge_type=supports target=n_ad6176d465f7\nt=0036 ADD_EDGE edge_id=e_970ab24e6f8e source=n_12fd852a2f84 edge_type=refutes target=n_814828d02ea5\nt=0037 ADD_EDGE edge_id=e_35e0b7a4a9b1 source=n_ddb1a90d1ac7 edge_type=supports target=n_6639bccf3223\nt=0038 ADD_EDGE edge_id=e_80a23d0c8e6b source=n_638136ba2d9c edge_type=refutes target=n_ea2df3c6795c\nt=0039 ADD_EDGE edge_id=e_c7c0b7a9803f source=n_443141997044 edge_type=refutes target=n_e7da92c50a37\nt=0040 ADD_EDGE edge_id=e_cfde062f694b source=n_88eaa4938f3e edge_type=refutes target=n_ddb1a90d1ac7\nt=0041 ADD_EDGE edge_id=e_4ee06b007d76 source=n_10ed358365f5 edge_type=supports target=n_443141997044\nt=0042 ADD_EDGE edge_id=e_da8b543e501e source=n_6639bccf3223 edge_type=supports target=n_92ad460b68a1\nt=0043 ADD_EDGE edge_id=e_79c1e2b0d414 source=n_e7da92c50a37 edge_type=supports target=n_e8bfb09397f2\nt=0044 ADD_EDGE edge_id=e_b79fd016d35f source=n_12fd852a2f84 edge_type=refutes target=n_fcd35999b57c\nt=0045 ADD_EDGE edge_id=e_ad270105059f source=n_cb4cec3f634e edge_type=refutes target=n_b3597ec21a7b\nt=0046 ADD_EDGE edge_id=e_33592dc38928 source=n_b3597ec21a7b edge_type=supports target=n_45fd4e570260\nt=0047 ADD_EDGE edge_id=e_57b05d4e8e18 source=n_12fd852a2f84 edge_type=refutes target=n_2f98fd904af3\nt=0048 ADD_EDGE edge_id=e_67f602e7f24a source=n_88eaa4938f3e edge_type=supports target=n_5c6f6dbb076e\nt=0049 ADD_EDGE edge_id=e_09c3904656f4 source=n_e8bfb09397f2 edge_type=supports target=n_9583c4348088\nt=0050 ADD_EDGE edge_id=e_703f2e1bc452 source=n_e8bfb09397f2 edge_type=refutes target=n_f0e8d583150f\nt=0051 QUERY source=n_10ed358365f5 target=n_92ad460b68a1\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2464,"provenance":{"base_record_id":"train-d08-003","dataset":"livegraph-deterministic-parity-v3","depth":8,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d08-003","split":"train","variant":"clean"},"record_seed":11236731356798731,"render_sha256":"33a58bacb65d02a1799aa7d36898396cfabdc4052401f02462a72be2654978b6","representation":"linear_trace","semantic_sha256":"53a1ebd37ef96947dd9042a4fa2a5b4e1ce547e63ae3961579bc01212540079a"}
{"char_count":4466,"item_id":"train-d08-004::linear_trace","label":"TRUE","lexical_token_proxy_count":764,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_59e59a7f0079 node_type=claim\nt=0001 CREATE_NODE id=n_fbdf9716f65d node_type=claim\nt=0002 CREATE_NODE id=n_512d2ded1c4d node_type=claim\nt=0003 CREATE_NODE id=n_ce9595f43704 node_type=claim\nt=0004 CREATE_NODE id=n_98c89e1d9884 node_type=claim\nt=0005 CREATE_NODE id=n_b4aa74ed7b51 node_type=claim\nt=0006 CREATE_NODE id=n_7ee8d99e1f31 node_type=claim\nt=0007 CREATE_NODE id=n_b8c6741696e0 node_type=claim\nt=0008 CREATE_NODE id=n_cb97ecb186a7 node_type=claim\nt=0009 CREATE_NODE id=n_e45b1fb27be4 node_type=claim\nt=0010 CREATE_NODE id=n_4f7ccbba9476 node_type=claim\nt=0011 CREATE_NODE id=n_819537530d80 node_type=claim\nt=0012 CREATE_NODE id=n_d37128ba691d node_type=claim\nt=0013 CREATE_NODE id=n_2688604ca798 node_type=claim\nt=0014 CREATE_NODE id=n_a45480b9fb31 node_type=claim\nt=0015 CREATE_NODE id=n_41d6ff8dc971 node_type=claim\nt=0016 CREATE_NODE id=n_5e7d59620ad0 node_type=claim\nt=0017 CREATE_NODE id=n_6ea52ef0b0fb node_type=claim\nt=0018 CREATE_NODE id=n_7f793eadcd2c node_type=claim\nt=0019 CREATE_NODE id=n_8a5516d921e0 node_type=claim\nt=0020 CREATE_NODE id=n_b5db7f9710c2 node_type=claim\nt=0021 CREATE_NODE id=n_675f507dad28 node_type=claim\nt=0022 CREATE_NODE id=n_fd149482c125 node_type=claim\nt=0023 CREATE_NODE id=n_d09355602bc8 node_type=claim\nt=0024 CREATE_NODE id=n_d387f09bd5f5 node_type=claim\nt=0025 CREATE_NODE id=n_2dac3fcd5a9a node_type=claim\nt=0026 ASSERT_ROOT node=n_b8c6741696e0 value=TRUE\nt=0027 ADD_EDGE edge_id=e_6fff0a41106e source=n_4f7ccbba9476 edge_type=refutes target=n_d387f09bd5f5\nt=0028 ADD_EDGE edge_id=e_d0f19b7d2634 source=n_d37128ba691d edge_type=supports target=n_2dac3fcd5a9a\nt=0029 ADD_EDGE edge_id=e_5ceee928fb1b source=n_512d2ded1c4d edge_type=supports target=n_e45b1fb27be4\nt=0030 ADD_EDGE edge_id=e_00c2026300f0 source=n_d09355602bc8 edge_type=supports target=n_2688604ca798\nt=0031 ADD_EDGE edge_id=e_b33cc7296051 source=n_ce9595f43704 edge_type=refutes target=n_7f793eadcd2c\nt=0032 ADD_EDGE edge_id=e_b555c4bdc746 source=n_7ee8d99e1f31 edge_type=supports target=n_a45480b9fb31\nt=0033 ADD_EDGE edge_id=e_6ad9a5d0ce00 source=n_4f7ccbba9476 edge_type=supports target=n_d37128ba691d\nt=0034 ADD_EDGE edge_id=e_64d5cac3b9e7 source=n_fbdf9716f65d edge_type=supports target=n_675f507dad28\nt=0035 ADD_EDGE edge_id=e_6fc43e950709 source=n_6ea52ef0b0fb edge_type=refutes target=n_fd149482c125\nt=0036 ADD_EDGE edge_id=e_b760c4c21dee source=n_5e7d59620ad0 edge_type=supports target=n_4f7ccbba9476\nt=0037 ADD_EDGE edge_id=e_6ffcd432fb2b source=n_2688604ca798 edge_type=supports target=n_6ea52ef0b0fb\nt=0038 ADD_EDGE edge_id=e_6cb519e816ad source=n_512d2ded1c4d edge_type=supports target=n_cb97ecb186a7\nt=0039 ADD_EDGE edge_id=e_da41b23b5897 source=n_cb97ecb186a7 edge_type=refutes target=n_d09355602bc8\nt=0040 ADD_EDGE edge_id=e_e468c38cf997 source=n_7ee8d99e1f31 edge_type=refutes target=n_41d6ff8dc971\nt=0041 ADD_EDGE edge_id=e_b89fd698aa85 source=n_6ea52ef0b0fb edge_type=refutes target=n_8a5516d921e0\nt=0042 ADD_EDGE edge_id=e_04615f5d06d5 source=n_675f507dad28 edge_type=refutes target=n_b4aa74ed7b51\nt=0043 ADD_EDGE edge_id=e_28a7edd6b6fc source=n_b8c6741696e0 edge_type=refutes target=n_512d2ded1c4d\nt=0044 ADD_EDGE edge_id=e_5e83f537402f source=n_ce9595f43704 edge_type=refutes target=n_819537530d80\nt=0045 ADD_EDGE edge_id=e_7c3eb0a8a113 source=n_d37128ba691d edge_type=refutes target=n_fbdf9716f65d\nt=0046 ADD_EDGE edge_id=e_eea6c5dc4488 source=n_819537530d80 edge_type=refutes target=n_98c89e1d9884\nt=0047 ADD_EDGE edge_id=e_515817fc94ac source=n_ce9595f43704 edge_type=refutes target=n_b5db7f9710c2\nt=0048 ADD_EDGE edge_id=e_0253f859cc9c source=n_2688604ca798 edge_type=supports target=n_59e59a7f0079\nt=0049 ADD_EDGE edge_id=e_057d77663198 source=n_5e7d59620ad0 edge_type=supports target=n_ce9595f43704\nt=0050 ADD_EDGE edge_id=e_dcef15999c43 source=n_fd149482c125 edge_type=supports target=n_7ee8d99e1f31\nt=0051 QUERY source=n_b8c6741696e0 target=n_41d6ff8dc971\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2439,"provenance":{"base_record_id":"train-d08-004","dataset":"livegraph-deterministic-parity-v3","depth":8,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d08-004","split":"train","variant":"clean"},"record_seed":942107833779071716,"render_sha256":"f001eb3d3661c058e2ac36575e2ccd4efbfc003ba69e85f5a37ebfd6e2725e66","representation":"linear_trace","semantic_sha256":"ab43242fa3fe2e34d471601a982afafaef752af298b6097655d7111bd967defd"}
{"char_count":4466,"item_id":"train-d08-005::linear_trace","label":"FALSE","lexical_token_proxy_count":764,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_b38f02bd280a node_type=claim\nt=0001 CREATE_NODE id=n_d35e09bf2821 node_type=claim\nt=0002 CREATE_NODE id=n_3a607bf95382 node_type=claim\nt=0003 CREATE_NODE id=n_2e129adf160d node_type=claim\nt=0004 CREATE_NODE id=n_9d1b02a07ff3 node_type=claim\nt=0005 CREATE_NODE id=n_9fcce93bf8a4 node_type=claim\nt=0006 CREATE_NODE id=n_43efdee87e06 node_type=claim\nt=0007 CREATE_NODE id=n_55824f896e5a node_type=claim\nt=0008 CREATE_NODE id=n_99fad8dd3f25 node_type=claim\nt=0009 CREATE_NODE id=n_f011cead78ff node_type=claim\nt=0010 CREATE_NODE id=n_00ae400534a9 node_type=claim\nt=0011 CREATE_NODE id=n_36e6548110b7 node_type=claim\nt=0012 CREATE_NODE id=n_c8b581db65f4 node_type=claim\nt=0013 CREATE_NODE id=n_680daea78df7 node_type=claim\nt=0014 CREATE_NODE id=n_f3de25aed36d node_type=claim\nt=0015 CREATE_NODE id=n_1c4b1f80edc6 node_type=claim\nt=0016 CREATE_NODE id=n_be7acf430a8e node_type=claim\nt=0017 CREATE_NODE id=n_d66ff3b5209f node_type=claim\nt=0018 CREATE_NODE id=n_805bbea97138 node_type=claim\nt=0019 CREATE_NODE id=n_a29a2e1d6597 node_type=claim\nt=0020 CREATE_NODE id=n_c264d385c630 node_type=claim\nt=0021 CREATE_NODE id=n_2bd2866891aa node_type=claim\nt=0022 CREATE_NODE id=n_fc2cab5c395e node_type=claim\nt=0023 CREATE_NODE id=n_03aa3c5796da node_type=claim\nt=0024 CREATE_NODE id=n_d5cb78ef81d4 node_type=claim\nt=0025 CREATE_NODE id=n_a1216b550739 node_type=claim\nt=0026 ASSERT_ROOT node=n_a1216b550739 value=TRUE\nt=0027 ADD_EDGE edge_id=e_3fc354a12156 source=n_9fcce93bf8a4 edge_type=refutes target=n_1c4b1f80edc6\nt=0028 ADD_EDGE edge_id=e_1d1270c379f3 source=n_d5cb78ef81d4 edge_type=refutes target=n_805bbea97138\nt=0029 ADD_EDGE edge_id=e_aa0ec4083639 source=n_d5cb78ef81d4 edge_type=refutes target=n_00ae400534a9\nt=0030 ADD_EDGE edge_id=e_13923aaf38c6 source=n_a1216b550739 edge_type=supports target=n_a29a2e1d6597\nt=0031 ADD_EDGE edge_id=e_a43ce4dfb047 source=n_d35e09bf2821 edge_type=refutes target=n_c264d385c630\nt=0032 ADD_EDGE edge_id=e_bca4fd97bd0c source=n_c8b581db65f4 edge_type=supports target=n_fc2cab5c395e\nt=0033 ADD_EDGE edge_id=e_ba40d67ff113 source=n_f011cead78ff edge_type=supports target=n_3a607bf95382\nt=0034 ADD_EDGE edge_id=e_aa2e18d251b4 source=n_9fcce93bf8a4 edge_type=supports target=n_43efdee87e06\nt=0035 ADD_EDGE edge_id=e_90417d617e9c source=n_55824f896e5a edge_type=supports target=n_be7acf430a8e\nt=0036 ADD_EDGE edge_id=e_25635fc78494 source=n_f011cead78ff edge_type=supports target=n_99fad8dd3f25\nt=0037 ADD_EDGE edge_id=e_715c3f12d590 source=n_a29a2e1d6597 edge_type=supports target=n_f011cead78ff\nt=0038 ADD_EDGE edge_id=e_f5c8cef32d50 source=n_d35e09bf2821 edge_type=refutes target=n_d66ff3b5209f\nt=0039 ADD_EDGE edge_id=e_7af70eb66d28 source=n_c264d385c630 edge_type=refutes target=n_9d1b02a07ff3\nt=0040 ADD_EDGE edge_id=e_8b66a922660f source=n_d35e09bf2821 edge_type=refutes target=n_680daea78df7\nt=0041 ADD_EDGE edge_id=e_9e27c7caad01 source=n_d35e09bf2821 edge_type=refutes target=n_03aa3c5796da\nt=0042 ADD_EDGE edge_id=e_896040c5a022 source=n_3a607bf95382 edge_type=supports target=n_9fcce93bf8a4\nt=0043 ADD_EDGE edge_id=e_75a6bfac2494 source=n_d5cb78ef81d4 edge_type=supports target=n_b38f02bd280a\nt=0044 ADD_EDGE edge_id=e_1a591363703f source=n_f3de25aed36d edge_type=refutes target=n_36e6548110b7\nt=0045 ADD_EDGE edge_id=e_c3613d8c759c source=n_03aa3c5796da edge_type=supports target=n_2bd2866891aa\nt=0046 ADD_EDGE edge_id=e_6a5e060961c5 source=n_fc2cab5c395e edge_type=refutes target=n_55824f896e5a\nt=0047 ADD_EDGE edge_id=e_b19a3586ee3e source=n_680daea78df7 edge_type=refutes target=n_d5cb78ef81d4\nt=0048 ADD_EDGE edge_id=e_b53fec690c94 source=n_43efdee87e06 edge_type=supports target=n_c8b581db65f4\nt=0049 ADD_EDGE edge_id=e_aa6eee12f571 source=n_03aa3c5796da edge_type=supports target=n_f3de25aed36d\nt=0050 ADD_EDGE edge_id=e_8a72a10cf373 source=n_9fcce93bf8a4 edge_type=refutes target=n_2e129adf160d\nt=0051 QUERY source=n_a1216b550739 target=n_55824f896e5a\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2427,"provenance":{"base_record_id":"train-d08-005","dataset":"livegraph-deterministic-parity-v3","depth":8,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d08-005","split":"train","variant":"clean"},"record_seed":835447134276952332,"render_sha256":"e065920bc9ec33e6b25f0bfb36b5332faf51db102f4f6a58386d5b1c10fadf33","representation":"linear_trace","semantic_sha256":"16de9b38de506c02a1874e89c7abe3c1b3abeae74cb55de6c161de178db64b1b"}
{"char_count":4467,"item_id":"train-d08-006::linear_trace","label":"TRUE","lexical_token_proxy_count":764,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_537a1b2a00b1 node_type=claim\nt=0001 CREATE_NODE id=n_a7a4da5d7441 node_type=claim\nt=0002 CREATE_NODE id=n_63936b0d4d6b node_type=claim\nt=0003 CREATE_NODE id=n_9d7565ec7aaf node_type=claim\nt=0004 CREATE_NODE id=n_0aa12d578809 node_type=claim\nt=0005 CREATE_NODE id=n_8145ba474d19 node_type=claim\nt=0006 CREATE_NODE id=n_4f9a62b5f9e6 node_type=claim\nt=0007 CREATE_NODE id=n_b03b48ad7677 node_type=claim\nt=0008 CREATE_NODE id=n_9277ef3849a1 node_type=claim\nt=0009 CREATE_NODE id=n_027b3139feab node_type=claim\nt=0010 CREATE_NODE id=n_ab27b5a89aca node_type=claim\nt=0011 CREATE_NODE id=n_0458a924f93f node_type=claim\nt=0012 CREATE_NODE id=n_b96cea6cbe56 node_type=claim\nt=0013 CREATE_NODE id=n_c1d326ec9140 node_type=claim\nt=0014 CREATE_NODE id=n_b103d265a4ae node_type=claim\nt=0015 CREATE_NODE id=n_0afbb5d2e2a7 node_type=claim\nt=0016 CREATE_NODE id=n_3e1658986df2 node_type=claim\nt=0017 CREATE_NODE id=n_2136cdf6fc93 node_type=claim\nt=0018 CREATE_NODE id=n_864f81572f32 node_type=claim\nt=0019 CREATE_NODE id=n_b87024606b1c node_type=claim\nt=0020 CREATE_NODE id=n_ade5d65f196e node_type=claim\nt=0021 CREATE_NODE id=n_99a4c8041718 node_type=claim\nt=0022 CREATE_NODE id=n_b274a2399c4c node_type=claim\nt=0023 CREATE_NODE id=n_d157b68bc4d5 node_type=claim\nt=0024 CREATE_NODE id=n_81ab5da1d0f4 node_type=claim\nt=0025 CREATE_NODE id=n_732112b838ec node_type=claim\nt=0026 ASSERT_ROOT node=n_9277ef3849a1 value=FALSE\nt=0027 ADD_EDGE edge_id=e_4832e3ce537a source=n_99a4c8041718 edge_type=supports target=n_4f9a62b5f9e6\nt=0028 ADD_EDGE edge_id=e_27e5e3b0db1f source=n_c1d326ec9140 edge_type=supports target=n_864f81572f32\nt=0029 ADD_EDGE edge_id=e_6411328a2a8d source=n_2136cdf6fc93 edge_type=supports target=n_b103d265a4ae\nt=0030 ADD_EDGE edge_id=e_54c6040343c9 source=n_027b3139feab edge_type=supports target=n_99a4c8041718\nt=0031 ADD_EDGE edge_id=e_bf38dddfea94 source=n_8145ba474d19 edge_type=supports target=n_63936b0d4d6b\nt=0032 ADD_EDGE edge_id=e_36ac6b48e219 source=n_9277ef3849a1 edge_type=supports target=n_9d7565ec7aaf\nt=0033 ADD_EDGE edge_id=e_672944d7e783 source=n_027b3139feab edge_type=refutes target=n_ade5d65f196e\nt=0034 ADD_EDGE edge_id=e_a34e033023c7 source=n_0afbb5d2e2a7 edge_type=refutes target=n_c1d326ec9140\nt=0035 ADD_EDGE edge_id=e_d0089fafca69 source=n_0aa12d578809 edge_type=supports target=n_3e1658986df2\nt=0036 ADD_EDGE edge_id=e_24240fd115e1 source=n_0aa12d578809 edge_type=refutes target=n_0458a924f93f\nt=0037 ADD_EDGE edge_id=e_3ede2ee9aeb5 source=n_63936b0d4d6b edge_type=supports target=n_b87024606b1c\nt=0038 ADD_EDGE edge_id=e_d11760cbff80 source=n_864f81572f32 edge_type=refutes target=n_8145ba474d19\nt=0039 ADD_EDGE edge_id=e_e0ba01e40571 source=n_63936b0d4d6b edge_type=supports target=n_b03b48ad7677\nt=0040 ADD_EDGE edge_id=e_f7b1eb24caac source=n_0aa12d578809 edge_type=supports target=n_027b3139feab\nt=0041 ADD_EDGE edge_id=e_9fd1d9740b7f source=n_0458a924f93f edge_type=refutes target=n_b274a2399c4c\nt=0042 ADD_EDGE edge_id=e_95b30c7cf839 source=n_027b3139feab edge_type=refutes target=n_732112b838ec\nt=0043 ADD_EDGE edge_id=e_0f7705ba7a56 source=n_0aa12d578809 edge_type=refutes target=n_a7a4da5d7441\nt=0044 ADD_EDGE edge_id=e_6046950b49ec source=n_99a4c8041718 edge_type=refutes target=n_81ab5da1d0f4\nt=0045 ADD_EDGE edge_id=e_42c665b86365 source=n_9277ef3849a1 edge_type=supports target=n_2136cdf6fc93\nt=0046 ADD_EDGE edge_id=e_03722198b346 source=n_027b3139feab edge_type=supports target=n_ab27b5a89aca\nt=0047 ADD_EDGE edge_id=e_b878a7e939f3 source=n_2136cdf6fc93 edge_type=refutes target=n_d157b68bc4d5\nt=0048 ADD_EDGE edge_id=e_4c101fd78d51 source=n_9277ef3849a1 edge_type=refutes target=n_b96cea6cbe56\nt=0049 ADD_EDGE edge_id=e_1662288cedb5 source=n_b103d265a4ae edge_type=refutes target=n_0afbb5d2e2a7\nt=0050 ADD_EDGE edge_id=e_ec513e21a604 source=n_027b3139feab edge_type=refutes target=n_537a1b2a00b1\nt=0051 QUERY source=n_9277ef3849a1 target=n_b03b48ad7677\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2459,"provenance":{"base_record_id":"train-d08-006","dataset":"livegraph-deterministic-parity-v3","depth":8,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d08-006","split":"train","variant":"clean"},"record_seed":1105852295633286003,"render_sha256":"a082a714daffbe8953f9a2c8ef88eb68b13d407375622cce04e14167eb415adc","representation":"linear_trace","semantic_sha256":"9ac7a237af0d29f05500278d02c96b0d5b8451f7e89120d972cdc5c3a4397bdb"}
{"char_count":4467,"item_id":"train-d08-007::linear_trace","label":"FALSE","lexical_token_proxy_count":764,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_d8e96179542a node_type=claim\nt=0001 CREATE_NODE id=n_fde8c064d02a node_type=claim\nt=0002 CREATE_NODE id=n_01c6521d2f02 node_type=claim\nt=0003 CREATE_NODE id=n_ff01d800d946 node_type=claim\nt=0004 CREATE_NODE id=n_34fd2f3002f1 node_type=claim\nt=0005 CREATE_NODE id=n_11f5614429ce node_type=claim\nt=0006 CREATE_NODE id=n_5d196c752880 node_type=claim\nt=0007 CREATE_NODE id=n_7fe73595581b node_type=claim\nt=0008 CREATE_NODE id=n_f29261eeedcb node_type=claim\nt=0009 CREATE_NODE id=n_aeec5df1b16c node_type=claim\nt=0010 CREATE_NODE id=n_6e3dcb31820e node_type=claim\nt=0011 CREATE_NODE id=n_21c0219585fe node_type=claim\nt=0012 CREATE_NODE id=n_c538dd02a27a node_type=claim\nt=0013 CREATE_NODE id=n_8d05423124ae node_type=claim\nt=0014 CREATE_NODE id=n_9325b14092d8 node_type=claim\nt=0015 CREATE_NODE id=n_a361d07637ea node_type=claim\nt=0016 CREATE_NODE id=n_2ef95b54660c node_type=claim\nt=0017 CREATE_NODE id=n_98e20440f6d7 node_type=claim\nt=0018 CREATE_NODE id=n_c36261a1db26 node_type=claim\nt=0019 CREATE_NODE id=n_e51ad1306883 node_type=claim\nt=0020 CREATE_NODE id=n_6378d5af6cf3 node_type=claim\nt=0021 CREATE_NODE id=n_6d69097e7a6e node_type=claim\nt=0022 CREATE_NODE id=n_483cda58d956 node_type=claim\nt=0023 CREATE_NODE id=n_592bb57e048e node_type=claim\nt=0024 CREATE_NODE id=n_61d3fa958f08 node_type=claim\nt=0025 CREATE_NODE id=n_3c6b0eef6ee2 node_type=claim\nt=0026 ASSERT_ROOT node=n_6d69097e7a6e value=FALSE\nt=0027 ADD_EDGE edge_id=e_f9f12e255d17 source=n_98e20440f6d7 edge_type=supports target=n_7fe73595581b\nt=0028 ADD_EDGE edge_id=e_3cd3a58ff1fa source=n_21c0219585fe edge_type=refutes target=n_61d3fa958f08\nt=0029 ADD_EDGE edge_id=e_6fcc35a25a95 source=n_6d69097e7a6e edge_type=supports target=n_fde8c064d02a\nt=0030 ADD_EDGE edge_id=e_1894a24c25b5 source=n_d8e96179542a edge_type=refutes target=n_9325b14092d8\nt=0031 ADD_EDGE edge_id=e_0a47424d907f source=n_61d3fa958f08 edge_type=supports target=n_ff01d800d946\nt=0032 ADD_EDGE edge_id=e_8073be739dbd source=n_98e20440f6d7 edge_type=refutes target=n_11f5614429ce\nt=0033 ADD_EDGE edge_id=e_275be27f93ad source=n_21c0219585fe edge_type=supports target=n_592bb57e048e\nt=0034 ADD_EDGE edge_id=e_d0ac623d7e67 source=n_a361d07637ea edge_type=supports target=n_5d196c752880\nt=0035 ADD_EDGE edge_id=e_6d55160e23de source=n_e51ad1306883 edge_type=refutes target=n_8d05423124ae\nt=0036 ADD_EDGE edge_id=e_160eab1efa0f source=n_6e3dcb31820e edge_type=refutes target=n_e51ad1306883\nt=0037 ADD_EDGE edge_id=e_36ec3e5ec666 source=n_6d69097e7a6e edge_type=supports target=n_c36261a1db26\nt=0038 ADD_EDGE edge_id=e_ca3b81afada2 source=n_a361d07637ea edge_type=supports target=n_483cda58d956\nt=0039 ADD_EDGE edge_id=e_5fc991b57273 source=n_3c6b0eef6ee2 edge_type=refutes target=n_98e20440f6d7\nt=0040 ADD_EDGE edge_id=e_2ed435422ecb source=n_98e20440f6d7 edge_type=refutes target=n_01c6521d2f02\nt=0041 ADD_EDGE edge_id=e_69763037838b source=n_e51ad1306883 edge_type=supports target=n_6378d5af6cf3\nt=0042 ADD_EDGE edge_id=e_ebd9f4dce230 source=n_fde8c064d02a edge_type=supports target=n_21c0219585fe\nt=0043 ADD_EDGE edge_id=e_46cff232b26b source=n_2ef95b54660c edge_type=supports target=n_aeec5df1b16c\nt=0044 ADD_EDGE edge_id=e_7dbbb350ff0a source=n_ff01d800d946 edge_type=refutes target=n_6e3dcb31820e\nt=0045 ADD_EDGE edge_id=e_58b47433b2bc source=n_3c6b0eef6ee2 edge_type=refutes target=n_2ef95b54660c\nt=0046 ADD_EDGE edge_id=e_db4a108dd22a source=n_8d05423124ae edge_type=supports target=n_34fd2f3002f1\nt=0047 ADD_EDGE edge_id=e_6b3b989c437d source=n_2ef95b54660c edge_type=refutes target=n_a361d07637ea\nt=0048 ADD_EDGE edge_id=e_4d857b65f064 source=n_ff01d800d946 edge_type=refutes target=n_f29261eeedcb\nt=0049 ADD_EDGE edge_id=e_c60977e38423 source=n_3c6b0eef6ee2 edge_type=supports target=n_d8e96179542a\nt=0050 ADD_EDGE edge_id=e_ca9a5cc48334 source=n_d8e96179542a edge_type=refutes target=n_c538dd02a27a\nt=0051 QUERY source=n_6d69097e7a6e target=n_34fd2f3002f1\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2473,"provenance":{"base_record_id":"train-d08-007","dataset":"livegraph-deterministic-parity-v3","depth":8,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d08-007","split":"train","variant":"clean"},"record_seed":420324928672113689,"render_sha256":"ed84c7c66e5623802a45584c2108aeb0a9a49538f56713a21f9f7fe5f6f2183b","representation":"linear_trace","semantic_sha256":"ea3dda3c732e2e540f98a5a16d4406ed82c12ead8c8ac9c3eff84661c4e05718"}
{"char_count":4466,"item_id":"train-d08-008::linear_trace","label":"TRUE","lexical_token_proxy_count":764,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_5f141225021e node_type=claim\nt=0001 CREATE_NODE id=n_2e49242aec86 node_type=claim\nt=0002 CREATE_NODE id=n_7fe058f78434 node_type=claim\nt=0003 CREATE_NODE id=n_f37744d5a9fd node_type=claim\nt=0004 CREATE_NODE id=n_c6bd1e337c55 node_type=claim\nt=0005 CREATE_NODE id=n_25187e746c26 node_type=claim\nt=0006 CREATE_NODE id=n_a6f9c37ac1d8 node_type=claim\nt=0007 CREATE_NODE id=n_facea06997dd node_type=claim\nt=0008 CREATE_NODE id=n_6a6ef9b2c7fb node_type=claim\nt=0009 CREATE_NODE id=n_a57eb0d62fd1 node_type=claim\nt=0010 CREATE_NODE id=n_aad1f4736456 node_type=claim\nt=0011 CREATE_NODE id=n_cef4987f9010 node_type=claim\nt=0012 CREATE_NODE id=n_bd51eeea13ce node_type=claim\nt=0013 CREATE_NODE id=n_e6b4a59b998f node_type=claim\nt=0014 CREATE_NODE id=n_8bd210d9304a node_type=claim\nt=0015 CREATE_NODE id=n_e35d268014f3 node_type=claim\nt=0016 CREATE_NODE id=n_89278eda9dff node_type=claim\nt=0017 CREATE_NODE id=n_a11886e27b3b node_type=claim\nt=0018 CREATE_NODE id=n_bae344372e5a node_type=claim\nt=0019 CREATE_NODE id=n_bb3c6123516c node_type=claim\nt=0020 CREATE_NODE id=n_1bb1f7f7fc2e node_type=claim\nt=0021 CREATE_NODE id=n_8fcd451c2d06 node_type=claim\nt=0022 CREATE_NODE id=n_cce20fd32768 node_type=claim\nt=0023 CREATE_NODE id=n_68614782bf7c node_type=claim\nt=0024 CREATE_NODE id=n_152f6f784102 node_type=claim\nt=0025 CREATE_NODE id=n_1de3ec54d806 node_type=claim\nt=0026 ASSERT_ROOT node=n_bb3c6123516c value=TRUE\nt=0027 ADD_EDGE edge_id=e_28ffcb1f1abf source=n_2e49242aec86 edge_type=refutes target=n_8fcd451c2d06\nt=0028 ADD_EDGE edge_id=e_51585e155a5d source=n_89278eda9dff edge_type=supports target=n_a11886e27b3b\nt=0029 ADD_EDGE edge_id=e_50ed3e732d77 source=n_bae344372e5a edge_type=refutes target=n_aad1f4736456\nt=0030 ADD_EDGE edge_id=e_562a3af95039 source=n_a57eb0d62fd1 edge_type=refutes target=n_e6b4a59b998f\nt=0031 ADD_EDGE edge_id=e_c0155aca0d2b source=n_8bd210d9304a edge_type=refutes target=n_152f6f784102\nt=0032 ADD_EDGE edge_id=e_bcc2197ec20b source=n_25187e746c26 edge_type=refutes target=n_5f141225021e\nt=0033 ADD_EDGE edge_id=e_b6d9c67a2987 source=n_bb3c6123516c edge_type=supports target=n_f37744d5a9fd\nt=0034 ADD_EDGE edge_id=e_7b676aee3d30 source=n_e35d268014f3 edge_type=refutes target=n_8bd210d9304a\nt=0035 ADD_EDGE edge_id=e_ffab0aeac112 source=n_8fcd451c2d06 edge_type=refutes target=n_25187e746c26\nt=0036 ADD_EDGE edge_id=e_12bee6252ffe source=n_6a6ef9b2c7fb edge_type=supports target=n_68614782bf7c\nt=0037 ADD_EDGE edge_id=e_f72f050e83e4 source=n_8bd210d9304a edge_type=supports target=n_a57eb0d62fd1\nt=0038 ADD_EDGE edge_id=e_67fd1e2daed1 source=n_7fe058f78434 edge_type=supports target=n_a6f9c37ac1d8\nt=0039 ADD_EDGE edge_id=e_86b5acaf7c07 source=n_89278eda9dff edge_type=refutes target=n_1bb1f7f7fc2e\nt=0040 ADD_EDGE edge_id=e_21bd71a13600 source=n_25187e746c26 edge_type=refutes target=n_bae344372e5a\nt=0041 ADD_EDGE edge_id=e_086b91e8f842 source=n_1de3ec54d806 edge_type=refutes target=n_89278eda9dff\nt=0042 ADD_EDGE edge_id=e_e906911a6e86 source=n_facea06997dd edge_type=supports target=n_cef4987f9010\nt=0043 ADD_EDGE edge_id=e_d6a38257e6f0 source=n_aad1f4736456 edge_type=refutes target=n_7fe058f78434\nt=0044 ADD_EDGE edge_id=e_ae1b14383338 source=n_bd51eeea13ce edge_type=supports target=n_c6bd1e337c55\nt=0045 ADD_EDGE edge_id=e_982a4d6c5516 source=n_1de3ec54d806 edge_type=supports target=n_e35d268014f3\nt=0046 ADD_EDGE edge_id=e_8d2fe1a70a9e source=n_7fe058f78434 edge_type=supports target=n_cce20fd32768\nt=0047 ADD_EDGE edge_id=e_59a9080b9432 source=n_a11886e27b3b edge_type=supports target=n_facea06997dd\nt=0048 ADD_EDGE edge_id=e_ad5341d8e6f7 source=n_7fe058f78434 edge_type=refutes target=n_6a6ef9b2c7fb\nt=0049 ADD_EDGE edge_id=e_41279fb55c33 source=n_f37744d5a9fd edge_type=supports target=n_2e49242aec86\nt=0050 ADD_EDGE edge_id=e_4a471c0a3668 source=n_8bd210d9304a edge_type=supports target=n_bd51eeea13ce\nt=0051 QUERY source=n_bb3c6123516c target=n_6a6ef9b2c7fb\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2437,"provenance":{"base_record_id":"train-d08-008","dataset":"livegraph-deterministic-parity-v3","depth":8,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d08-008","split":"train","variant":"clean"},"record_seed":1035209940363508476,"render_sha256":"7f66cca8fdc5e8793fea9aaa422f71eead9aa04d78176d4385ab953c2dce4f5f","representation":"linear_trace","semantic_sha256":"c330920c66b3300e5d531767a3efee05b07ee1c20b2318385e08edd5bd2ec0cb"}
{"char_count":4466,"item_id":"train-d08-009::linear_trace","label":"FALSE","lexical_token_proxy_count":764,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_08cf3b9183a3 node_type=claim\nt=0001 CREATE_NODE id=n_ac3cb1f964f9 node_type=claim\nt=0002 CREATE_NODE id=n_f54f77872a3e node_type=claim\nt=0003 CREATE_NODE id=n_b7318a89906a node_type=claim\nt=0004 CREATE_NODE id=n_598b7e9bae59 node_type=claim\nt=0005 CREATE_NODE id=n_ad0e729d9fb9 node_type=claim\nt=0006 CREATE_NODE id=n_b0c7b5b73a60 node_type=claim\nt=0007 CREATE_NODE id=n_2b87fc8f8605 node_type=claim\nt=0008 CREATE_NODE id=n_97103881fc92 node_type=claim\nt=0009 CREATE_NODE id=n_61e411793716 node_type=claim\nt=0010 CREATE_NODE id=n_11bcb52657af node_type=claim\nt=0011 CREATE_NODE id=n_b8604bedb38d node_type=claim\nt=0012 CREATE_NODE id=n_d60c04635c6d node_type=claim\nt=0013 CREATE_NODE id=n_3a866bd988e0 node_type=claim\nt=0014 CREATE_NODE id=n_b8d3115245d5 node_type=claim\nt=0015 CREATE_NODE id=n_79e2ced5eecb node_type=claim\nt=0016 CREATE_NODE id=n_9c89e7aa6eb5 node_type=claim\nt=0017 CREATE_NODE id=n_c0dfc015fef3 node_type=claim\nt=0018 CREATE_NODE id=n_c9fd6ce21f10 node_type=claim\nt=0019 CREATE_NODE id=n_654da40452bf node_type=claim\nt=0020 CREATE_NODE id=n_82976b3fa5d6 node_type=claim\nt=0021 CREATE_NODE id=n_0e79a8525520 node_type=claim\nt=0022 CREATE_NODE id=n_ab264e619fac node_type=claim\nt=0023 CREATE_NODE id=n_b450a3f43cc0 node_type=claim\nt=0024 CREATE_NODE id=n_4d7d8ab5c771 node_type=claim\nt=0025 CREATE_NODE id=n_755e63005ffe node_type=claim\nt=0026 ASSERT_ROOT node=n_654da40452bf value=TRUE\nt=0027 ADD_EDGE edge_id=e_cc963a97c45f source=n_f54f77872a3e edge_type=supports target=n_b8d3115245d5\nt=0028 ADD_EDGE edge_id=e_6a03d202451f source=n_9c89e7aa6eb5 edge_type=refutes target=n_ad0e729d9fb9\nt=0029 ADD_EDGE edge_id=e_dc9bde7aa976 source=n_9c89e7aa6eb5 edge_type=refutes target=n_79e2ced5eecb\nt=0030 ADD_EDGE edge_id=e_98c09ac11f90 source=n_b0c7b5b73a60 edge_type=refutes target=n_f54f77872a3e\nt=0031 ADD_EDGE edge_id=e_ac9cf71fe10d source=n_82976b3fa5d6 edge_type=refutes target=n_b0c7b5b73a60\nt=0032 ADD_EDGE edge_id=e_0aba15186b98 source=n_9c89e7aa6eb5 edge_type=refutes target=n_c0dfc015fef3\nt=0033 ADD_EDGE edge_id=e_365136acd496 source=n_97103881fc92 edge_type=supports target=n_11bcb52657af\nt=0034 ADD_EDGE edge_id=e_e7c52175be88 source=n_2b87fc8f8605 edge_type=supports target=n_3a866bd988e0\nt=0035 ADD_EDGE edge_id=e_3e0f93706ab4 source=n_ad0e729d9fb9 edge_type=refutes target=n_755e63005ffe\nt=0036 ADD_EDGE edge_id=e_62d4bdd5fb80 source=n_598b7e9bae59 edge_type=supports target=n_b8604bedb38d\nt=0037 ADD_EDGE edge_id=e_d65d67114372 source=n_11bcb52657af edge_type=supports target=n_0e79a8525520\nt=0038 ADD_EDGE edge_id=e_ae30982b21a3 source=n_d60c04635c6d edge_type=refutes target=n_61e411793716\nt=0039 ADD_EDGE edge_id=e_2713f530a984 source=n_d60c04635c6d edge_type=supports target=n_2b87fc8f8605\nt=0040 ADD_EDGE edge_id=e_1b272375e23d source=n_b8d3115245d5 edge_type=supports target=n_4d7d8ab5c771\nt=0041 ADD_EDGE edge_id=e_1defa9e20027 source=n_598b7e9bae59 edge_type=refutes target=n_97103881fc92\nt=0042 ADD_EDGE edge_id=e_3b5f3e833b2b source=n_d60c04635c6d edge_type=refutes target=n_9c89e7aa6eb5\nt=0043 ADD_EDGE edge_id=e_6f3f2395d016 source=n_9c89e7aa6eb5 edge_type=refutes target=n_08cf3b9183a3\nt=0044 ADD_EDGE edge_id=e_d7b9d312b169 source=n_b0c7b5b73a60 edge_type=supports target=n_c9fd6ce21f10\nt=0045 ADD_EDGE edge_id=e_30bd70ea67da source=n_61e411793716 edge_type=supports target=n_ac3cb1f964f9\nt=0046 ADD_EDGE edge_id=e_7263b52022c4 source=n_598b7e9bae59 edge_type=supports target=n_b450a3f43cc0\nt=0047 ADD_EDGE edge_id=e_e395e743fe99 source=n_654da40452bf edge_type=supports target=n_82976b3fa5d6\nt=0048 ADD_EDGE edge_id=e_7b0f281aa37e source=n_ad0e729d9fb9 edge_type=refutes target=n_b7318a89906a\nt=0049 ADD_EDGE edge_id=e_959144866b89 source=n_b8d3115245d5 edge_type=supports target=n_598b7e9bae59\nt=0050 ADD_EDGE edge_id=e_a0bb184761b3 source=n_79e2ced5eecb edge_type=refutes target=n_ab264e619fac\nt=0051 QUERY source=n_654da40452bf target=n_0e79a8525520\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2453,"provenance":{"base_record_id":"train-d08-009","dataset":"livegraph-deterministic-parity-v3","depth":8,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d08-009","split":"train","variant":"clean"},"record_seed":200723594870862768,"render_sha256":"bec1d1a40082f3aa98e31f790cc55ba459ad00e5de177b5efee4f49407c7d5ae","representation":"linear_trace","semantic_sha256":"cd273412b1e57c26c07bef4aa3be9236a0ee1c3a4165797d06b37041adf9a02d"}
{"char_count":4467,"item_id":"train-d08-010::linear_trace","label":"TRUE","lexical_token_proxy_count":764,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_cfc50a2bd7d9 node_type=claim\nt=0001 CREATE_NODE id=n_c288778e7ea8 node_type=claim\nt=0002 CREATE_NODE id=n_be43e5d4c64b node_type=claim\nt=0003 CREATE_NODE id=n_bd0207125bb0 node_type=claim\nt=0004 CREATE_NODE id=n_6e2dd05c4b2e node_type=claim\nt=0005 CREATE_NODE id=n_04e546f5fb1a node_type=claim\nt=0006 CREATE_NODE id=n_7aec31e22f6f node_type=claim\nt=0007 CREATE_NODE id=n_7e97d9b13ba8 node_type=claim\nt=0008 CREATE_NODE id=n_fe159514c8b7 node_type=claim\nt=0009 CREATE_NODE id=n_083d6e58029e node_type=claim\nt=0010 CREATE_NODE id=n_1a93167e5913 node_type=claim\nt=0011 CREATE_NODE id=n_e330b36ed04a node_type=claim\nt=0012 CREATE_NODE id=n_4ea37ce7332b node_type=claim\nt=0013 CREATE_NODE id=n_27171f446b63 node_type=claim\nt=0014 CREATE_NODE id=n_ff0d1d308085 node_type=claim\nt=0015 CREATE_NODE id=n_72fb4d83caae node_type=claim\nt=0016 CREATE_NODE id=n_4cfa4f40d939 node_type=claim\nt=0017 CREATE_NODE id=n_839d2515755f node_type=claim\nt=0018 CREATE_NODE id=n_cb70646e00cf node_type=claim\nt=0019 CREATE_NODE id=n_bfdb0def31d5 node_type=claim\nt=0020 CREATE_NODE id=n_5b869c764cca node_type=claim\nt=0021 CREATE_NODE id=n_f23ca190f572 node_type=claim\nt=0022 CREATE_NODE id=n_050b20529b79 node_type=claim\nt=0023 CREATE_NODE id=n_c200a1d41887 node_type=claim\nt=0024 CREATE_NODE id=n_b563595f8a1c node_type=claim\nt=0025 CREATE_NODE id=n_0a482866a841 node_type=claim\nt=0026 ASSERT_ROOT node=n_083d6e58029e value=FALSE\nt=0027 ADD_EDGE edge_id=e_6a576e653c18 source=n_1a93167e5913 edge_type=refutes target=n_bd0207125bb0\nt=0028 ADD_EDGE edge_id=e_cfdd6bc28b62 source=n_1a93167e5913 edge_type=refutes target=n_bfdb0def31d5\nt=0029 ADD_EDGE edge_id=e_b554cc6e7ad8 source=n_72fb4d83caae edge_type=supports target=n_0a482866a841\nt=0030 ADD_EDGE edge_id=e_5b53acbdb89f source=n_bd0207125bb0 edge_type=supports target=n_f23ca190f572\nt=0031 ADD_EDGE edge_id=e_788615f4c7c9 source=n_cfc50a2bd7d9 edge_type=supports target=n_27171f446b63\nt=0032 ADD_EDGE edge_id=e_9b22fdbbe8e4 source=n_fe159514c8b7 edge_type=refutes target=n_ff0d1d308085\nt=0033 ADD_EDGE edge_id=e_6a0316f22ce2 source=n_1a93167e5913 edge_type=supports target=n_7e97d9b13ba8\nt=0034 ADD_EDGE edge_id=e_02e968c6a930 source=n_083d6e58029e edge_type=supports target=n_c288778e7ea8\nt=0035 ADD_EDGE edge_id=e_77eedba666df source=n_6e2dd05c4b2e edge_type=supports target=n_cb70646e00cf\nt=0036 ADD_EDGE edge_id=e_56aa0cb504b9 source=n_7aec31e22f6f edge_type=supports target=n_cfc50a2bd7d9\nt=0037 ADD_EDGE edge_id=e_426b0b1ce4be source=n_0a482866a841 edge_type=refutes target=n_4ea37ce7332b\nt=0038 ADD_EDGE edge_id=e_161735a706ba source=n_72fb4d83caae edge_type=refutes target=n_04e546f5fb1a\nt=0039 ADD_EDGE edge_id=e_c821798a1014 source=n_7e97d9b13ba8 edge_type=supports target=n_fe159514c8b7\nt=0040 ADD_EDGE edge_id=e_17b5a382121a source=n_c288778e7ea8 edge_type=refutes target=n_6e2dd05c4b2e\nt=0041 ADD_EDGE edge_id=e_924a9f5caba9 source=n_72fb4d83caae edge_type=refutes target=n_be43e5d4c64b\nt=0042 ADD_EDGE edge_id=e_dc1ba9cf80ca source=n_1a93167e5913 edge_type=refutes target=n_4cfa4f40d939\nt=0043 ADD_EDGE edge_id=e_8492439d6bb7 source=n_bd0207125bb0 edge_type=refutes target=n_b563595f8a1c\nt=0044 ADD_EDGE edge_id=e_b65b8d9950f8 source=n_b563595f8a1c edge_type=supports target=n_839d2515755f\nt=0045 ADD_EDGE edge_id=e_1d82b35553b9 source=n_4ea37ce7332b edge_type=refutes target=n_7aec31e22f6f\nt=0046 ADD_EDGE edge_id=e_87d35baa5d47 source=n_bd0207125bb0 edge_type=supports target=n_c200a1d41887\nt=0047 ADD_EDGE edge_id=e_84cb3f19003b source=n_050b20529b79 edge_type=supports target=n_72fb4d83caae\nt=0048 ADD_EDGE edge_id=e_0f6d6285224d source=n_fe159514c8b7 edge_type=refutes target=n_5b869c764cca\nt=0049 ADD_EDGE edge_id=e_eae571aa3430 source=n_1a93167e5913 edge_type=refutes target=n_e330b36ed04a\nt=0050 ADD_EDGE edge_id=e_73d45952aaba source=n_6e2dd05c4b2e edge_type=supports target=n_050b20529b79\nt=0051 QUERY source=n_083d6e58029e target=n_cfc50a2bd7d9\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2456,"provenance":{"base_record_id":"train-d08-010","dataset":"livegraph-deterministic-parity-v3","depth":8,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d08-010","split":"train","variant":"clean"},"record_seed":239883204805141924,"render_sha256":"62d4d6add5bc7c37ed59043af10186a8710c08c59387bc06bfb0b3f929fad3bf","representation":"linear_trace","semantic_sha256":"ef373e8579751a795a26a650f07d86fd865aa513f83df74637250898c3ed620e"}
{"char_count":4467,"item_id":"train-d08-011::linear_trace","label":"FALSE","lexical_token_proxy_count":764,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_7965f62d35a4 node_type=claim\nt=0001 CREATE_NODE id=n_4a5574ca70b0 node_type=claim\nt=0002 CREATE_NODE id=n_ac0dc15b2347 node_type=claim\nt=0003 CREATE_NODE id=n_e31bd45a9b5a node_type=claim\nt=0004 CREATE_NODE id=n_357e320a25fd node_type=claim\nt=0005 CREATE_NODE id=n_bb3eb1c6a540 node_type=claim\nt=0006 CREATE_NODE id=n_d16d6329bb10 node_type=claim\nt=0007 CREATE_NODE id=n_cef0b98fe644 node_type=claim\nt=0008 CREATE_NODE id=n_940566d18206 node_type=claim\nt=0009 CREATE_NODE id=n_a6f7f2d1b0b5 node_type=claim\nt=0010 CREATE_NODE id=n_1a0df57567f3 node_type=claim\nt=0011 CREATE_NODE id=n_0bc7d0ed2486 node_type=claim\nt=0012 CREATE_NODE id=n_55bc9ffda31f node_type=claim\nt=0013 CREATE_NODE id=n_c66ea773bb4e node_type=claim\nt=0014 CREATE_NODE id=n_3f8679cc25e1 node_type=claim\nt=0015 CREATE_NODE id=n_3b611ef62378 node_type=claim\nt=0016 CREATE_NODE id=n_325c41cc0786 node_type=claim\nt=0017 CREATE_NODE id=n_875a1eb335ba node_type=claim\nt=0018 CREATE_NODE id=n_064e5ab58bb1 node_type=claim\nt=0019 CREATE_NODE id=n_10fd9f7c9fb2 node_type=claim\nt=0020 CREATE_NODE id=n_f162a97d608b node_type=claim\nt=0021 CREATE_NODE id=n_465194237777 node_type=claim\nt=0022 CREATE_NODE id=n_a3f382a0922c node_type=claim\nt=0023 CREATE_NODE id=n_d5e5a8c47856 node_type=claim\nt=0024 CREATE_NODE id=n_a62d2ef0bb8c node_type=claim\nt=0025 CREATE_NODE id=n_3c2ab6b81b97 node_type=claim\nt=0026 ASSERT_ROOT node=n_55bc9ffda31f value=FALSE\nt=0027 ADD_EDGE edge_id=e_4d6d7d418467 source=n_064e5ab58bb1 edge_type=supports target=n_bb3eb1c6a540\nt=0028 ADD_EDGE edge_id=e_4810ab3433c0 source=n_3b611ef62378 edge_type=supports target=n_ac0dc15b2347\nt=0029 ADD_EDGE edge_id=e_ab5474d7f5fc source=n_d5e5a8c47856 edge_type=supports target=n_875a1eb335ba\nt=0030 ADD_EDGE edge_id=e_8730ae94622f source=n_357e320a25fd edge_type=refutes target=n_940566d18206\nt=0031 ADD_EDGE edge_id=e_7e10957229ba source=n_325c41cc0786 edge_type=refutes target=n_4a5574ca70b0\nt=0032 ADD_EDGE edge_id=e_93cf19c402f8 source=n_3c2ab6b81b97 edge_type=refutes target=n_325c41cc0786\nt=0033 ADD_EDGE edge_id=e_dc6bbc7daab1 source=n_c66ea773bb4e edge_type=supports target=n_a3f382a0922c\nt=0034 ADD_EDGE edge_id=e_e555d956fb90 source=n_1a0df57567f3 edge_type=refutes target=n_3c2ab6b81b97\nt=0035 ADD_EDGE edge_id=e_c5e3f40c29d3 source=n_7965f62d35a4 edge_type=supports target=n_3b611ef62378\nt=0036 ADD_EDGE edge_id=e_af001f561095 source=n_3b611ef62378 edge_type=refutes target=n_cef0b98fe644\nt=0037 ADD_EDGE edge_id=e_fa5798de45fb source=n_cef0b98fe644 edge_type=supports target=n_d16d6329bb10\nt=0038 ADD_EDGE edge_id=e_c158e6edee38 source=n_325c41cc0786 edge_type=refutes target=n_e31bd45a9b5a\nt=0039 ADD_EDGE edge_id=e_3251e6778af9 source=n_7965f62d35a4 edge_type=refutes target=n_0bc7d0ed2486\nt=0040 ADD_EDGE edge_id=e_098e155727c5 source=n_a3f382a0922c edge_type=supports target=n_064e5ab58bb1\nt=0041 ADD_EDGE edge_id=e_7eb503c2e701 source=n_d5e5a8c47856 edge_type=refutes target=n_f162a97d608b\nt=0042 ADD_EDGE edge_id=e_5388a5a9c663 source=n_7965f62d35a4 edge_type=supports target=n_3f8679cc25e1\nt=0043 ADD_EDGE edge_id=e_32dc5f9f9fe5 source=n_465194237777 edge_type=supports target=n_d5e5a8c47856\nt=0044 ADD_EDGE edge_id=e_df63c6d89ec9 source=n_7965f62d35a4 edge_type=supports target=n_a62d2ef0bb8c\nt=0045 ADD_EDGE edge_id=e_48e278adefb7 source=n_325c41cc0786 edge_type=refutes target=n_357e320a25fd\nt=0046 ADD_EDGE edge_id=e_ea4b022e704a source=n_55bc9ffda31f edge_type=supports target=n_1a0df57567f3\nt=0047 ADD_EDGE edge_id=e_31988147cb5e source=n_7965f62d35a4 edge_type=refutes target=n_465194237777\nt=0048 ADD_EDGE edge_id=e_816827f4dbf9 source=n_940566d18206 edge_type=supports target=n_c66ea773bb4e\nt=0049 ADD_EDGE edge_id=e_78ef068be0b0 source=n_7965f62d35a4 edge_type=refutes target=n_a6f7f2d1b0b5\nt=0050 ADD_EDGE edge_id=e_9dc3bc1d2afd source=n_940566d18206 edge_type=refutes target=n_10fd9f7c9fb2\nt=0051 QUERY source=n_55bc9ffda31f target=n_064e5ab58bb1\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2457,"provenance":{"base_record_id":"train-d08-011","dataset":"livegraph-deterministic-parity-v3","depth":8,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d08-011","split":"train","variant":"clean"},"record_seed":928554706682409914,"render_sha256":"0c038eed30d7be2d826f4c6730962ca54ef02cab564b621d08a4e24c447d135d","representation":"linear_trace","semantic_sha256":"3afa2baa74f886462f8cc800cf4d5fad115baab56d6cfc58e06e6f6ba53cb53f"}
{"char_count":4466,"item_id":"train-d08-012::linear_trace","label":"TRUE","lexical_token_proxy_count":764,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_942e5c42fd5c node_type=claim\nt=0001 CREATE_NODE id=n_b71b29949e5f node_type=claim\nt=0002 CREATE_NODE id=n_b094b007137e node_type=claim\nt=0003 CREATE_NODE id=n_5029194e66f0 node_type=claim\nt=0004 CREATE_NODE id=n_78b61fb58070 node_type=claim\nt=0005 CREATE_NODE id=n_172f1b9c1ca4 node_type=claim\nt=0006 CREATE_NODE id=n_081a9c0b6d6b node_type=claim\nt=0007 CREATE_NODE id=n_a0e5e7856b22 node_type=claim\nt=0008 CREATE_NODE id=n_a79b5fdecaa6 node_type=claim\nt=0009 CREATE_NODE id=n_c2c66c4dc439 node_type=claim\nt=0010 CREATE_NODE id=n_c466ef40c514 node_type=claim\nt=0011 CREATE_NODE id=n_a8763a6911b1 node_type=claim\nt=0012 CREATE_NODE id=n_f8e6c886d0e2 node_type=claim\nt=0013 CREATE_NODE id=n_7f660355b103 node_type=claim\nt=0014 CREATE_NODE id=n_dbeea126334c node_type=claim\nt=0015 CREATE_NODE id=n_167326cac262 node_type=claim\nt=0016 CREATE_NODE id=n_bfc7815f2786 node_type=claim\nt=0017 CREATE_NODE id=n_9adc8a522a43 node_type=claim\nt=0018 CREATE_NODE id=n_d54f23524dc7 node_type=claim\nt=0019 CREATE_NODE id=n_a6dc69b5bdbc node_type=claim\nt=0020 CREATE_NODE id=n_0cb65d0aa9c2 node_type=claim\nt=0021 CREATE_NODE id=n_a9ad997ea9d9 node_type=claim\nt=0022 CREATE_NODE id=n_70be3674aa1a node_type=claim\nt=0023 CREATE_NODE id=n_2737aa6fc6b9 node_type=claim\nt=0024 CREATE_NODE id=n_03accfb112a2 node_type=claim\nt=0025 CREATE_NODE id=n_bf6240e07a69 node_type=claim\nt=0026 ASSERT_ROOT node=n_a0e5e7856b22 value=TRUE\nt=0027 ADD_EDGE edge_id=e_3a85b61db795 source=n_b71b29949e5f edge_type=refutes target=n_c466ef40c514\nt=0028 ADD_EDGE edge_id=e_b5f354aae857 source=n_bfc7815f2786 edge_type=refutes target=n_167326cac262\nt=0029 ADD_EDGE edge_id=e_68fedd80446a source=n_172f1b9c1ca4 edge_type=refutes target=n_a9ad997ea9d9\nt=0030 ADD_EDGE edge_id=e_514b4da7a0e9 source=n_a0e5e7856b22 edge_type=refutes target=n_bfc7815f2786\nt=0031 ADD_EDGE edge_id=e_b493516eb34f source=n_a6dc69b5bdbc edge_type=refutes target=n_bf6240e07a69\nt=0032 ADD_EDGE edge_id=e_7ae00d6fa37f source=n_b71b29949e5f edge_type=supports target=n_f8e6c886d0e2\nt=0033 ADD_EDGE edge_id=e_48d2a06a917b source=n_2737aa6fc6b9 edge_type=supports target=n_78b61fb58070\nt=0034 ADD_EDGE edge_id=e_3c256c3472da source=n_a9ad997ea9d9 edge_type=supports target=n_70be3674aa1a\nt=0035 ADD_EDGE edge_id=e_20de75984515 source=n_0cb65d0aa9c2 edge_type=refutes target=n_2737aa6fc6b9\nt=0036 ADD_EDGE edge_id=e_8e24e797b3ed source=n_2737aa6fc6b9 edge_type=refutes target=n_a8763a6911b1\nt=0037 ADD_EDGE edge_id=e_170067a488bd source=n_167326cac262 edge_type=supports target=n_5029194e66f0\nt=0038 ADD_EDGE edge_id=e_ea38d9e69d40 source=n_c466ef40c514 edge_type=supports target=n_172f1b9c1ca4\nt=0039 ADD_EDGE edge_id=e_88d67d1316fa source=n_b71b29949e5f edge_type=refutes target=n_7f660355b103\nt=0040 ADD_EDGE edge_id=e_c018882050e7 source=n_081a9c0b6d6b edge_type=refutes target=n_9adc8a522a43\nt=0041 ADD_EDGE edge_id=e_2e46e0e27af2 source=n_172f1b9c1ca4 edge_type=supports target=n_a79b5fdecaa6\nt=0042 ADD_EDGE edge_id=e_9887ac428b0b source=n_a8763a6911b1 edge_type=supports target=n_d54f23524dc7\nt=0043 ADD_EDGE edge_id=e_d356935c6e5b source=n_a8763a6911b1 edge_type=refutes target=n_b094b007137e\nt=0044 ADD_EDGE edge_id=e_1856ce14b0f4 source=n_172f1b9c1ca4 edge_type=supports target=n_942e5c42fd5c\nt=0045 ADD_EDGE edge_id=e_27bc7c3efd63 source=n_5029194e66f0 edge_type=supports target=n_0cb65d0aa9c2\nt=0046 ADD_EDGE edge_id=e_33c2b2b0d2a9 source=n_f8e6c886d0e2 edge_type=supports target=n_03accfb112a2\nt=0047 ADD_EDGE edge_id=e_c6476d4578b0 source=n_d54f23524dc7 edge_type=supports target=n_a6dc69b5bdbc\nt=0048 ADD_EDGE edge_id=e_f7439b1d0c69 source=n_b71b29949e5f edge_type=supports target=n_081a9c0b6d6b\nt=0049 ADD_EDGE edge_id=e_47d7351144bb source=n_167326cac262 edge_type=refutes target=n_dbeea126334c\nt=0050 ADD_EDGE edge_id=e_55f1ab8278de source=n_c466ef40c514 edge_type=refutes target=n_c2c66c4dc439\nt=0051 QUERY source=n_a0e5e7856b22 target=n_a6dc69b5bdbc\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2466,"provenance":{"base_record_id":"train-d08-012","dataset":"livegraph-deterministic-parity-v3","depth":8,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d08-012","split":"train","variant":"clean"},"record_seed":877415766910598931,"render_sha256":"716ac608f114216c6004ad3d487361d8544e3f76e9c71bbce258ca8ffca64a85","representation":"linear_trace","semantic_sha256":"9283045a1939b9a30d737c49a57f8c502b1b3a42d10bc330592095cfd427f1bf"}
{"char_count":4466,"item_id":"train-d08-013::linear_trace","label":"FALSE","lexical_token_proxy_count":764,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_d1734fd52c13 node_type=claim\nt=0001 CREATE_NODE id=n_a11fe7f66a58 node_type=claim\nt=0002 CREATE_NODE id=n_bd270f9749a4 node_type=claim\nt=0003 CREATE_NODE id=n_a278b5c42f8b node_type=claim\nt=0004 CREATE_NODE id=n_c103b0229f1d node_type=claim\nt=0005 CREATE_NODE id=n_2e0b701ab1a2 node_type=claim\nt=0006 CREATE_NODE id=n_222a111eda67 node_type=claim\nt=0007 CREATE_NODE id=n_35a76cea4ff3 node_type=claim\nt=0008 CREATE_NODE id=n_7afab7a7433d node_type=claim\nt=0009 CREATE_NODE id=n_16a9c8e5a2be node_type=claim\nt=0010 CREATE_NODE id=n_2242a2c07680 node_type=claim\nt=0011 CREATE_NODE id=n_df3bdaedd0bf node_type=claim\nt=0012 CREATE_NODE id=n_f4c2bb6fa0e2 node_type=claim\nt=0013 CREATE_NODE id=n_ad209deeadae node_type=claim\nt=0014 CREATE_NODE id=n_ef6a52ae967f node_type=claim\nt=0015 CREATE_NODE id=n_27566775f902 node_type=claim\nt=0016 CREATE_NODE id=n_bc954c1502df node_type=claim\nt=0017 CREATE_NODE id=n_d0748cfebc2b node_type=claim\nt=0018 CREATE_NODE id=n_48023b808df5 node_type=claim\nt=0019 CREATE_NODE id=n_d05a082c244c node_type=claim\nt=0020 CREATE_NODE id=n_1585381aff8e node_type=claim\nt=0021 CREATE_NODE id=n_bb201a00e2ea node_type=claim\nt=0022 CREATE_NODE id=n_6d53adc12f94 node_type=claim\nt=0023 CREATE_NODE id=n_591db445fb51 node_type=claim\nt=0024 CREATE_NODE id=n_8d6e81aabda3 node_type=claim\nt=0025 CREATE_NODE id=n_17e94580e74f node_type=claim\nt=0026 ASSERT_ROOT node=n_222a111eda67 value=TRUE\nt=0027 ADD_EDGE edge_id=e_210a4b8342f3 source=n_df3bdaedd0bf edge_type=refutes target=n_35a76cea4ff3\nt=0028 ADD_EDGE edge_id=e_b6fc9028a19e source=n_d0748cfebc2b edge_type=refutes target=n_ef6a52ae967f\nt=0029 ADD_EDGE edge_id=e_b174a62100ae source=n_2e0b701ab1a2 edge_type=supports target=n_6d53adc12f94\nt=0030 ADD_EDGE edge_id=e_8d9956886dd4 source=n_2242a2c07680 edge_type=supports target=n_17e94580e74f\nt=0031 ADD_EDGE edge_id=e_b85ea7ab5aa8 source=n_35a76cea4ff3 edge_type=refutes target=n_7afab7a7433d\nt=0032 ADD_EDGE edge_id=e_ea5b3ba1cc72 source=n_6d53adc12f94 edge_type=supports target=n_16a9c8e5a2be\nt=0033 ADD_EDGE edge_id=e_a74c9de00a17 source=n_7afab7a7433d edge_type=supports target=n_bb201a00e2ea\nt=0034 ADD_EDGE edge_id=e_c356a5b66d91 source=n_df3bdaedd0bf edge_type=supports target=n_2e0b701ab1a2\nt=0035 ADD_EDGE edge_id=e_f08fa92c75da source=n_8d6e81aabda3 edge_type=supports target=n_d05a082c244c\nt=0036 ADD_EDGE edge_id=e_c55865637377 source=n_222a111eda67 edge_type=refutes target=n_1585381aff8e\nt=0037 ADD_EDGE edge_id=e_57f6f291037b source=n_bd270f9749a4 edge_type=refutes target=n_2242a2c07680\nt=0038 ADD_EDGE edge_id=e_81c6b0aa16d5 source=n_d05a082c244c edge_type=refutes target=n_d1734fd52c13\nt=0039 ADD_EDGE edge_id=e_319f198cadb6 source=n_d1734fd52c13 edge_type=supports target=n_bd270f9749a4\nt=0040 ADD_EDGE edge_id=e_679fd193d87e source=n_17e94580e74f edge_type=supports target=n_a278b5c42f8b\nt=0041 ADD_EDGE edge_id=e_8f505dfcb468 source=n_a11fe7f66a58 edge_type=supports target=n_bc954c1502df\nt=0042 ADD_EDGE edge_id=e_d69fcb9f65d7 source=n_1585381aff8e edge_type=refutes target=n_8d6e81aabda3\nt=0043 ADD_EDGE edge_id=e_8079c8a3b25e source=n_6d53adc12f94 edge_type=supports target=n_d0748cfebc2b\nt=0044 ADD_EDGE edge_id=e_8f378f584107 source=n_6d53adc12f94 edge_type=supports target=n_a11fe7f66a58\nt=0045 ADD_EDGE edge_id=e_dac9f25cdcb0 source=n_17e94580e74f edge_type=refutes target=n_ad209deeadae\nt=0046 ADD_EDGE edge_id=e_8e2658aeee34 source=n_d1734fd52c13 edge_type=refutes target=n_27566775f902\nt=0047 ADD_EDGE edge_id=e_e21ec1ccd18d source=n_df3bdaedd0bf edge_type=refutes target=n_f4c2bb6fa0e2\nt=0048 ADD_EDGE edge_id=e_6b94d11de469 source=n_2242a2c07680 edge_type=refutes target=n_c103b0229f1d\nt=0049 ADD_EDGE edge_id=e_7c428a42f883 source=n_bb201a00e2ea edge_type=supports target=n_591db445fb51\nt=0050 ADD_EDGE edge_id=e_08750351401d source=n_ad209deeadae edge_type=refutes target=n_48023b808df5\nt=0051 QUERY source=n_222a111eda67 target=n_ad209deeadae\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2419,"provenance":{"base_record_id":"train-d08-013","dataset":"livegraph-deterministic-parity-v3","depth":8,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d08-013","split":"train","variant":"clean"},"record_seed":279160068677466897,"render_sha256":"4cbd87e278d50cd1eac0b498406a48dbd7d29ecea30acc4f1b7ce45a9bebbc98","representation":"linear_trace","semantic_sha256":"6f1e5a422839e1774455bf0570d6f73ea2ff6e48e65b05459d4ee4579d3f19ae"}
{"char_count":4467,"item_id":"train-d08-014::linear_trace","label":"TRUE","lexical_token_proxy_count":764,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_5314f807ba4d node_type=claim\nt=0001 CREATE_NODE id=n_15fd03637519 node_type=claim\nt=0002 CREATE_NODE id=n_032c671c9320 node_type=claim\nt=0003 CREATE_NODE id=n_71c359595eb9 node_type=claim\nt=0004 CREATE_NODE id=n_b4c08c1ff3c5 node_type=claim\nt=0005 CREATE_NODE id=n_757657c3f2e2 node_type=claim\nt=0006 CREATE_NODE id=n_8460b03eb37d node_type=claim\nt=0007 CREATE_NODE id=n_1cda08f45b0b node_type=claim\nt=0008 CREATE_NODE id=n_9e8beaf04edc node_type=claim\nt=0009 CREATE_NODE id=n_103b333ba46f node_type=claim\nt=0010 CREATE_NODE id=n_4906fbc1835e node_type=claim\nt=0011 CREATE_NODE id=n_ae0d1cc0b085 node_type=claim\nt=0012 CREATE_NODE id=n_b095198d4ebc node_type=claim\nt=0013 CREATE_NODE id=n_33d3c239ae1b node_type=claim\nt=0014 CREATE_NODE id=n_685916993ef8 node_type=claim\nt=0015 CREATE_NODE id=n_15e4edfa1efa node_type=claim\nt=0016 CREATE_NODE id=n_a125b37a865d node_type=claim\nt=0017 CREATE_NODE id=n_aee85d389755 node_type=claim\nt=0018 CREATE_NODE id=n_80cc35b56d28 node_type=claim\nt=0019 CREATE_NODE id=n_670856da4952 node_type=claim\nt=0020 CREATE_NODE id=n_0fc979e5f097 node_type=claim\nt=0021 CREATE_NODE id=n_2a8b542f669c node_type=claim\nt=0022 CREATE_NODE id=n_ce16a8f6093f node_type=claim\nt=0023 CREATE_NODE id=n_e9a553e8cf95 node_type=claim\nt=0024 CREATE_NODE id=n_84e1c009a749 node_type=claim\nt=0025 CREATE_NODE id=n_4513a1e1a5e8 node_type=claim\nt=0026 ASSERT_ROOT node=n_b095198d4ebc value=FALSE\nt=0027 ADD_EDGE edge_id=e_7454d1988be1 source=n_15e4edfa1efa edge_type=supports target=n_5314f807ba4d\nt=0028 ADD_EDGE edge_id=e_13c4f17ad3c3 source=n_2a8b542f669c edge_type=refutes target=n_15fd03637519\nt=0029 ADD_EDGE edge_id=e_88aab79790f9 source=n_15fd03637519 edge_type=refutes target=n_4513a1e1a5e8\nt=0030 ADD_EDGE edge_id=e_79b8eb125917 source=n_80cc35b56d28 edge_type=supports target=n_4906fbc1835e\nt=0031 ADD_EDGE edge_id=e_fd9d45b3e5e0 source=n_9e8beaf04edc edge_type=refutes target=n_ce16a8f6093f\nt=0032 ADD_EDGE edge_id=e_55a30f26d0e4 source=n_80cc35b56d28 edge_type=supports target=n_103b333ba46f\nt=0033 ADD_EDGE edge_id=e_de0ecb86c284 source=n_a125b37a865d edge_type=refutes target=n_b4c08c1ff3c5\nt=0034 ADD_EDGE edge_id=e_7002acf53701 source=n_4906fbc1835e edge_type=refutes target=n_670856da4952\nt=0035 ADD_EDGE edge_id=e_8df907c115a8 source=n_a125b37a865d edge_type=supports target=n_032c671c9320\nt=0036 ADD_EDGE edge_id=e_052900768dac source=n_a125b37a865d edge_type=supports target=n_e9a553e8cf95\nt=0037 ADD_EDGE edge_id=e_7235e8287394 source=n_b095198d4ebc edge_type=refutes target=n_84e1c009a749\nt=0038 ADD_EDGE edge_id=e_7c08824f4646 source=n_33d3c239ae1b edge_type=refutes target=n_757657c3f2e2\nt=0039 ADD_EDGE edge_id=e_111d4d4f2831 source=n_685916993ef8 edge_type=refutes target=n_1cda08f45b0b\nt=0040 ADD_EDGE edge_id=e_d0958f7e5d76 source=n_15fd03637519 edge_type=supports target=n_9e8beaf04edc\nt=0041 ADD_EDGE edge_id=e_9328e484884f source=n_80cc35b56d28 edge_type=supports target=n_33d3c239ae1b\nt=0042 ADD_EDGE edge_id=e_0a2d533bb5d2 source=n_1cda08f45b0b edge_type=supports target=n_2a8b542f669c\nt=0043 ADD_EDGE edge_id=e_50bde83361db source=n_4906fbc1835e edge_type=supports target=n_aee85d389755\nt=0044 ADD_EDGE edge_id=e_3abc408495da source=n_103b333ba46f edge_type=refutes target=n_8460b03eb37d\nt=0045 ADD_EDGE edge_id=e_cff73d763e27 source=n_1cda08f45b0b edge_type=supports target=n_71c359595eb9\nt=0046 ADD_EDGE edge_id=e_e281e6fdff23 source=n_a125b37a865d edge_type=refutes target=n_80cc35b56d28\nt=0047 ADD_EDGE edge_id=e_1de1b62c055b source=n_84e1c009a749 edge_type=refutes target=n_685916993ef8\nt=0048 ADD_EDGE edge_id=e_e8f1b7515d6f source=n_15fd03637519 edge_type=supports target=n_ae0d1cc0b085\nt=0049 ADD_EDGE edge_id=e_ffaa55562e3d source=n_4906fbc1835e edge_type=supports target=n_0fc979e5f097\nt=0050 ADD_EDGE edge_id=e_227369367b55 source=n_9e8beaf04edc edge_type=refutes target=n_15e4edfa1efa\nt=0051 QUERY source=n_b095198d4ebc target=n_5314f807ba4d\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2475,"provenance":{"base_record_id":"train-d08-014","dataset":"livegraph-deterministic-parity-v3","depth":8,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d08-014","split":"train","variant":"clean"},"record_seed":592728633669391482,"render_sha256":"aad54f7495fae97d58f59fe1914b2135dbd0fa019a993634542e767464641b3d","representation":"linear_trace","semantic_sha256":"87d634e402da765b4e5548db1c59361d1941f5f789cefbe5d94614a49833af39"}
{"char_count":4467,"item_id":"train-d08-015::linear_trace","label":"FALSE","lexical_token_proxy_count":764,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_52d76617063b node_type=claim\nt=0001 CREATE_NODE id=n_e5622f762c3f node_type=claim\nt=0002 CREATE_NODE id=n_9c119dbdb5db node_type=claim\nt=0003 CREATE_NODE id=n_0c4cfe3c702a node_type=claim\nt=0004 CREATE_NODE id=n_58979d158588 node_type=claim\nt=0005 CREATE_NODE id=n_f4e9a68d7fc4 node_type=claim\nt=0006 CREATE_NODE id=n_b59fc5daff9f node_type=claim\nt=0007 CREATE_NODE id=n_dcb9f967fb95 node_type=claim\nt=0008 CREATE_NODE id=n_95f2402cabf5 node_type=claim\nt=0009 CREATE_NODE id=n_a1d3dde08ce7 node_type=claim\nt=0010 CREATE_NODE id=n_2ccf11a9ce94 node_type=claim\nt=0011 CREATE_NODE id=n_f9d9ca4ead9a node_type=claim\nt=0012 CREATE_NODE id=n_fbcb62061f11 node_type=claim\nt=0013 CREATE_NODE id=n_fd1c05879a6d node_type=claim\nt=0014 CREATE_NODE id=n_11dea0bbec66 node_type=claim\nt=0015 CREATE_NODE id=n_6031343a8ee9 node_type=claim\nt=0016 CREATE_NODE id=n_f6b68b94951e node_type=claim\nt=0017 CREATE_NODE id=n_0d8f9443856e node_type=claim\nt=0018 CREATE_NODE id=n_ef09558ffab3 node_type=claim\nt=0019 CREATE_NODE id=n_fd08c0c35d38 node_type=claim\nt=0020 CREATE_NODE id=n_b4e478fd729d node_type=claim\nt=0021 CREATE_NODE id=n_27e0b5e3fc77 node_type=claim\nt=0022 CREATE_NODE id=n_c29e2f38a9f2 node_type=claim\nt=0023 CREATE_NODE id=n_57e4a74a4922 node_type=claim\nt=0024 CREATE_NODE id=n_00ccca02dd71 node_type=claim\nt=0025 CREATE_NODE id=n_d468a0ac14c5 node_type=claim\nt=0026 ASSERT_ROOT node=n_2ccf11a9ce94 value=FALSE\nt=0027 ADD_EDGE edge_id=e_4b602e658a25 source=n_27e0b5e3fc77 edge_type=refutes target=n_58979d158588\nt=0028 ADD_EDGE edge_id=e_8705c24dd7dc source=n_52d76617063b edge_type=refutes target=n_f9d9ca4ead9a\nt=0029 ADD_EDGE edge_id=e_1a1602900088 source=n_c29e2f38a9f2 edge_type=supports target=n_fd1c05879a6d\nt=0030 ADD_EDGE edge_id=e_78f8d6162942 source=n_27e0b5e3fc77 edge_type=supports target=n_11dea0bbec66\nt=0031 ADD_EDGE edge_id=e_049b48c873a6 source=n_9c119dbdb5db edge_type=supports target=n_0d8f9443856e\nt=0032 ADD_EDGE edge_id=e_0265705ee551 source=n_27e0b5e3fc77 edge_type=refutes target=n_6031343a8ee9\nt=0033 ADD_EDGE edge_id=e_dcf42198cdb3 source=n_6031343a8ee9 edge_type=refutes target=n_57e4a74a4922\nt=0034 ADD_EDGE edge_id=e_c0651a1a2de1 source=n_f6b68b94951e edge_type=refutes target=n_e5622f762c3f\nt=0035 ADD_EDGE edge_id=e_9739dccd1c76 source=n_0c4cfe3c702a edge_type=supports target=n_f6b68b94951e\nt=0036 ADD_EDGE edge_id=e_d58ea7ca26b8 source=n_fd08c0c35d38 edge_type=refutes target=n_b59fc5daff9f\nt=0037 ADD_EDGE edge_id=e_4c49f8994fee source=n_b4e478fd729d edge_type=refutes target=n_f4e9a68d7fc4\nt=0038 ADD_EDGE edge_id=e_8adaa9ec49a7 source=n_f9d9ca4ead9a edge_type=supports target=n_fbcb62061f11\nt=0039 ADD_EDGE edge_id=e_9dbf5cc91c70 source=n_2ccf11a9ce94 edge_type=supports target=n_52d76617063b\nt=0040 ADD_EDGE edge_id=e_05739d9c3288 source=n_00ccca02dd71 edge_type=refutes target=n_95f2402cabf5\nt=0041 ADD_EDGE edge_id=e_4bea004b0d08 source=n_57e4a74a4922 edge_type=refutes target=n_00ccca02dd71\nt=0042 ADD_EDGE edge_id=e_9955f66b4b61 source=n_fd08c0c35d38 edge_type=refutes target=n_d468a0ac14c5\nt=0043 ADD_EDGE edge_id=e_2ca18ec9566f source=n_6031343a8ee9 edge_type=supports target=n_ef09558ffab3\nt=0044 ADD_EDGE edge_id=e_d8725e8c2327 source=n_f6b68b94951e edge_type=supports target=n_dcb9f967fb95\nt=0045 ADD_EDGE edge_id=e_bc1c4513e022 source=n_9c119dbdb5db edge_type=refutes target=n_b4e478fd729d\nt=0046 ADD_EDGE edge_id=e_1328cd586301 source=n_e5622f762c3f edge_type=supports target=n_c29e2f38a9f2\nt=0047 ADD_EDGE edge_id=e_1727a1204b39 source=n_b59fc5daff9f edge_type=refutes target=n_0c4cfe3c702a\nt=0048 ADD_EDGE edge_id=e_3a1cd9d9d2b0 source=n_6031343a8ee9 edge_type=supports target=n_a1d3dde08ce7\nt=0049 ADD_EDGE edge_id=e_5e7ef37128b7 source=n_f9d9ca4ead9a edge_type=supports target=n_fd08c0c35d38\nt=0050 ADD_EDGE edge_id=e_8e44e1f28a12 source=n_57e4a74a4922 edge_type=supports target=n_9c119dbdb5db\nt=0051 QUERY source=n_2ccf11a9ce94 target=n_c29e2f38a9f2\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2443,"provenance":{"base_record_id":"train-d08-015","dataset":"livegraph-deterministic-parity-v3","depth":8,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d08-015","split":"train","variant":"clean"},"record_seed":641748899679957634,"render_sha256":"fee39077f0e73246ae3f4c42fa25568a19ea7a107cd2452d42db29d39dab2b85","representation":"linear_trace","semantic_sha256":"704385d42359e65a7365c6121655f018d943a6bc151514da1125713b7e8986c2"}
{"char_count":4466,"item_id":"train-d08-016::linear_trace","label":"TRUE","lexical_token_proxy_count":764,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_6539e6088752 node_type=claim\nt=0001 CREATE_NODE id=n_30d523ed18b2 node_type=claim\nt=0002 CREATE_NODE id=n_455954e09c8a node_type=claim\nt=0003 CREATE_NODE id=n_76595a55b5e9 node_type=claim\nt=0004 CREATE_NODE id=n_17228f52b2c0 node_type=claim\nt=0005 CREATE_NODE id=n_e117b41f6320 node_type=claim\nt=0006 CREATE_NODE id=n_b4df6b642c92 node_type=claim\nt=0007 CREATE_NODE id=n_2e150975774f node_type=claim\nt=0008 CREATE_NODE id=n_40738647cfdf node_type=claim\nt=0009 CREATE_NODE id=n_fc973b0aeb19 node_type=claim\nt=0010 CREATE_NODE id=n_f2048c674c9f node_type=claim\nt=0011 CREATE_NODE id=n_ad2ee24df5a0 node_type=claim\nt=0012 CREATE_NODE id=n_4c09c3d9cf19 node_type=claim\nt=0013 CREATE_NODE id=n_999cabac8b04 node_type=claim\nt=0014 CREATE_NODE id=n_b0e053b3b758 node_type=claim\nt=0015 CREATE_NODE id=n_3ad8eb999177 node_type=claim\nt=0016 CREATE_NODE id=n_b3c4712a33ab node_type=claim\nt=0017 CREATE_NODE id=n_006f549f29be node_type=claim\nt=0018 CREATE_NODE id=n_f7c55d1084a2 node_type=claim\nt=0019 CREATE_NODE id=n_9d1137b1a814 node_type=claim\nt=0020 CREATE_NODE id=n_82303de50009 node_type=claim\nt=0021 CREATE_NODE id=n_754847fee6de node_type=claim\nt=0022 CREATE_NODE id=n_342c7107b162 node_type=claim\nt=0023 CREATE_NODE id=n_bf8204896d32 node_type=claim\nt=0024 CREATE_NODE id=n_9e82f33d047e node_type=claim\nt=0025 CREATE_NODE id=n_8d6ecc5cd562 node_type=claim\nt=0026 ASSERT_ROOT node=n_82303de50009 value=TRUE\nt=0027 ADD_EDGE edge_id=e_18a840dba38f source=n_9d1137b1a814 edge_type=supports target=n_40738647cfdf\nt=0028 ADD_EDGE edge_id=e_db9d704b060b source=n_f7c55d1084a2 edge_type=supports target=n_fc973b0aeb19\nt=0029 ADD_EDGE edge_id=e_ce1df86280fd source=n_b3c4712a33ab edge_type=refutes target=n_2e150975774f\nt=0030 ADD_EDGE edge_id=e_9ad690d41857 source=n_f7c55d1084a2 edge_type=supports target=n_f2048c674c9f\nt=0031 ADD_EDGE edge_id=e_eeb831f4a958 source=n_342c7107b162 edge_type=refutes target=n_9d1137b1a814\nt=0032 ADD_EDGE edge_id=e_b17ff29f9979 source=n_4c09c3d9cf19 edge_type=supports target=n_76595a55b5e9\nt=0033 ADD_EDGE edge_id=e_ebf9f4880b14 source=n_b0e053b3b758 edge_type=supports target=n_9e82f33d047e\nt=0034 ADD_EDGE edge_id=e_ac9489825b08 source=n_e117b41f6320 edge_type=refutes target=n_754847fee6de\nt=0035 ADD_EDGE edge_id=e_dfd3610a43b8 source=n_bf8204896d32 edge_type=refutes target=n_30d523ed18b2\nt=0036 ADD_EDGE edge_id=e_189e2f50d8d2 source=n_2e150975774f edge_type=refutes target=n_999cabac8b04\nt=0037 ADD_EDGE edge_id=e_865943dd5d36 source=n_006f549f29be edge_type=refutes target=n_b3c4712a33ab\nt=0038 ADD_EDGE edge_id=e_4ccc13682068 source=n_455954e09c8a edge_type=supports target=n_6539e6088752\nt=0039 ADD_EDGE edge_id=e_0803dedaec74 source=n_999cabac8b04 edge_type=refutes target=n_455954e09c8a\nt=0040 ADD_EDGE edge_id=e_f7fa0ff15af8 source=n_b4df6b642c92 edge_type=refutes target=n_006f549f29be\nt=0041 ADD_EDGE edge_id=e_d19936fbc7c6 source=n_9d1137b1a814 edge_type=supports target=n_3ad8eb999177\nt=0042 ADD_EDGE edge_id=e_dbe6f360f931 source=n_342c7107b162 edge_type=supports target=n_f7c55d1084a2\nt=0043 ADD_EDGE edge_id=e_d899500a3ca8 source=n_76595a55b5e9 edge_type=supports target=n_b4df6b642c92\nt=0044 ADD_EDGE edge_id=e_377cf898f78a source=n_82303de50009 edge_type=refutes target=n_4c09c3d9cf19\nt=0045 ADD_EDGE edge_id=e_a8a55767fc82 source=n_f7c55d1084a2 edge_type=refutes target=n_b0e053b3b758\nt=0046 ADD_EDGE edge_id=e_c3f884ee33bf source=n_342c7107b162 edge_type=supports target=n_bf8204896d32\nt=0047 ADD_EDGE edge_id=e_279e7a97aa38 source=n_006f549f29be edge_type=supports target=n_8d6ecc5cd562\nt=0048 ADD_EDGE edge_id=e_5cb2cfde2cd3 source=n_006f549f29be edge_type=refutes target=n_ad2ee24df5a0\nt=0049 ADD_EDGE edge_id=e_8a7745b7874d source=n_342c7107b162 edge_type=supports target=n_e117b41f6320\nt=0050 ADD_EDGE edge_id=e_18f2d5d01df1 source=n_999cabac8b04 edge_type=refutes target=n_17228f52b2c0\nt=0051 QUERY source=n_82303de50009 target=n_455954e09c8a\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2478,"provenance":{"base_record_id":"train-d08-016","dataset":"livegraph-deterministic-parity-v3","depth":8,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d08-016","split":"train","variant":"clean"},"record_seed":704914683139933344,"render_sha256":"aa0b44a4abfce0a3c49d5959c0a4bde319e13aefa141f872d1413035918a62ae","representation":"linear_trace","semantic_sha256":"f9e096d8a1cf29f84b1238107bfafa2ef07fac4d2e1a41d94d71a45d04065933"}
{"char_count":4466,"item_id":"train-d08-017::linear_trace","label":"FALSE","lexical_token_proxy_count":764,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_05c5c5095a39 node_type=claim\nt=0001 CREATE_NODE id=n_699894be7d79 node_type=claim\nt=0002 CREATE_NODE id=n_8a4c4fba4e86 node_type=claim\nt=0003 CREATE_NODE id=n_95f3cd4c23d0 node_type=claim\nt=0004 CREATE_NODE id=n_542c3479838f node_type=claim\nt=0005 CREATE_NODE id=n_ad2f76d40746 node_type=claim\nt=0006 CREATE_NODE id=n_f208b9551e78 node_type=claim\nt=0007 CREATE_NODE id=n_bbd9e9cedb63 node_type=claim\nt=0008 CREATE_NODE id=n_51c04788287b node_type=claim\nt=0009 CREATE_NODE id=n_f8678661e548 node_type=claim\nt=0010 CREATE_NODE id=n_a5dc012b4ba5 node_type=claim\nt=0011 CREATE_NODE id=n_47e9254cdc22 node_type=claim\nt=0012 CREATE_NODE id=n_e74501941d2f node_type=claim\nt=0013 CREATE_NODE id=n_8e6d18333dcf node_type=claim\nt=0014 CREATE_NODE id=n_8821382db1ce node_type=claim\nt=0015 CREATE_NODE id=n_5f9484071005 node_type=claim\nt=0016 CREATE_NODE id=n_5ce2ab0fa4f0 node_type=claim\nt=0017 CREATE_NODE id=n_84c96486ed6c node_type=claim\nt=0018 CREATE_NODE id=n_a6246dcd8f6a node_type=claim\nt=0019 CREATE_NODE id=n_fe48d6fef2d5 node_type=claim\nt=0020 CREATE_NODE id=n_0e9b94c18200 node_type=claim\nt=0021 CREATE_NODE id=n_a0adcceaab43 node_type=claim\nt=0022 CREATE_NODE id=n_52537d809eb0 node_type=claim\nt=0023 CREATE_NODE id=n_8e96371121e9 node_type=claim\nt=0024 CREATE_NODE id=n_3776c34288e2 node_type=claim\nt=0025 CREATE_NODE id=n_bcd34fd1fc93 node_type=claim\nt=0026 ASSERT_ROOT node=n_f8678661e548 value=TRUE\nt=0027 ADD_EDGE edge_id=e_1fa3b77e1b21 source=n_8e96371121e9 edge_type=refutes target=n_8821382db1ce\nt=0028 ADD_EDGE edge_id=e_5c3cb4355b69 source=n_0e9b94c18200 edge_type=refutes target=n_a5dc012b4ba5\nt=0029 ADD_EDGE edge_id=e_36ba711287c4 source=n_fe48d6fef2d5 edge_type=refutes target=n_05c5c5095a39\nt=0030 ADD_EDGE edge_id=e_fabb235cb3d4 source=n_699894be7d79 edge_type=refutes target=n_3776c34288e2\nt=0031 ADD_EDGE edge_id=e_6745638869de source=n_a0adcceaab43 edge_type=supports target=n_47e9254cdc22\nt=0032 ADD_EDGE edge_id=e_7a8ba557f6ca source=n_fe48d6fef2d5 edge_type=supports target=n_95f3cd4c23d0\nt=0033 ADD_EDGE edge_id=e_62f0a7f683e7 source=n_95f3cd4c23d0 edge_type=supports target=n_bcd34fd1fc93\nt=0034 ADD_EDGE edge_id=e_4020c5bcb532 source=n_0e9b94c18200 edge_type=supports target=n_8e6d18333dcf\nt=0035 ADD_EDGE edge_id=e_39a3943371d4 source=n_5ce2ab0fa4f0 edge_type=supports target=n_0e9b94c18200\nt=0036 ADD_EDGE edge_id=e_b5af0841b960 source=n_8821382db1ce edge_type=refutes target=n_a0adcceaab43\nt=0037 ADD_EDGE edge_id=e_ff57bafa9ae5 source=n_5f9484071005 edge_type=supports target=n_ad2f76d40746\nt=0038 ADD_EDGE edge_id=e_d764ff9e4920 source=n_5f9484071005 edge_type=supports target=n_bbd9e9cedb63\nt=0039 ADD_EDGE edge_id=e_9418315b2809 source=n_47e9254cdc22 edge_type=refutes target=n_f208b9551e78\nt=0040 ADD_EDGE edge_id=e_3a42f9a77c90 source=n_e74501941d2f edge_type=refutes target=n_52537d809eb0\nt=0041 ADD_EDGE edge_id=e_2e0c7b58433d source=n_95f3cd4c23d0 edge_type=supports target=n_51c04788287b\nt=0042 ADD_EDGE edge_id=e_a7e330a4c220 source=n_a5dc012b4ba5 edge_type=supports target=n_84c96486ed6c\nt=0043 ADD_EDGE edge_id=e_f49d54d83b14 source=n_0e9b94c18200 edge_type=refutes target=n_a6246dcd8f6a\nt=0044 ADD_EDGE edge_id=e_78764ef18582 source=n_3776c34288e2 edge_type=supports target=n_8a4c4fba4e86\nt=0045 ADD_EDGE edge_id=e_4acca96e8ad6 source=n_f8678661e548 edge_type=refutes target=n_5f9484071005\nt=0046 ADD_EDGE edge_id=e_d7122d61826c source=n_84c96486ed6c edge_type=supports target=n_e74501941d2f\nt=0047 ADD_EDGE edge_id=e_f8cc041b3847 source=n_f8678661e548 edge_type=refutes target=n_542c3479838f\nt=0048 ADD_EDGE edge_id=e_886b2d2a2a70 source=n_ad2f76d40746 edge_type=refutes target=n_fe48d6fef2d5\nt=0049 ADD_EDGE edge_id=e_952a6a547704 source=n_5ce2ab0fa4f0 edge_type=refutes target=n_8e96371121e9\nt=0050 ADD_EDGE edge_id=e_0d604477970a source=n_bcd34fd1fc93 edge_type=supports target=n_699894be7d79\nt=0051 QUERY source=n_f8678661e548 target=n_8a4c4fba4e86\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2465,"provenance":{"base_record_id":"train-d08-017","dataset":"livegraph-deterministic-parity-v3","depth":8,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d08-017","split":"train","variant":"clean"},"record_seed":390137505389607203,"render_sha256":"cc9e3e0e744900d94fab2f25f85cb4894fbc067accb6f98491ba785f6946ac10","representation":"linear_trace","semantic_sha256":"ab28ab3b7127d45075b8516b4e6bde6bbc7b58209bcb82183928bed6d2523659"}
{"char_count":4467,"item_id":"train-d08-018::linear_trace","label":"TRUE","lexical_token_proxy_count":764,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_ddcd242449e0 node_type=claim\nt=0001 CREATE_NODE id=n_8f4caa74d8a1 node_type=claim\nt=0002 CREATE_NODE id=n_92b6e869fbc3 node_type=claim\nt=0003 CREATE_NODE id=n_6280e52c95b4 node_type=claim\nt=0004 CREATE_NODE id=n_58a4320ff90a node_type=claim\nt=0005 CREATE_NODE id=n_23ad60d594d6 node_type=claim\nt=0006 CREATE_NODE id=n_2da019bcffc6 node_type=claim\nt=0007 CREATE_NODE id=n_00de26d0fb45 node_type=claim\nt=0008 CREATE_NODE id=n_eb8aec75b53b node_type=claim\nt=0009 CREATE_NODE id=n_5d71575e4758 node_type=claim\nt=0010 CREATE_NODE id=n_4c6e357f4b83 node_type=claim\nt=0011 CREATE_NODE id=n_ad3069bce50b node_type=claim\nt=0012 CREATE_NODE id=n_59b12ec96304 node_type=claim\nt=0013 CREATE_NODE id=n_b695a68e31ca node_type=claim\nt=0014 CREATE_NODE id=n_929697c34176 node_type=claim\nt=0015 CREATE_NODE id=n_2aec6f22b324 node_type=claim\nt=0016 CREATE_NODE id=n_d0003151b6f0 node_type=claim\nt=0017 CREATE_NODE id=n_69560cf07622 node_type=claim\nt=0018 CREATE_NODE id=n_36ba01293cf6 node_type=claim\nt=0019 CREATE_NODE id=n_ce21721a82a3 node_type=claim\nt=0020 CREATE_NODE id=n_a7bafab1e7f2 node_type=claim\nt=0021 CREATE_NODE id=n_9c7ea9d67517 node_type=claim\nt=0022 CREATE_NODE id=n_ee690194138b node_type=claim\nt=0023 CREATE_NODE id=n_a05d48957694 node_type=claim\nt=0024 CREATE_NODE id=n_7917330e3234 node_type=claim\nt=0025 CREATE_NODE id=n_853748938ef6 node_type=claim\nt=0026 ASSERT_ROOT node=n_6280e52c95b4 value=FALSE\nt=0027 ADD_EDGE edge_id=e_628eb24db49a source=n_23ad60d594d6 edge_type=refutes target=n_ddcd242449e0\nt=0028 ADD_EDGE edge_id=e_eca2bf77cca3 source=n_23ad60d594d6 edge_type=refutes target=n_eb8aec75b53b\nt=0029 ADD_EDGE edge_id=e_8b1c0a992b2d source=n_ad3069bce50b edge_type=refutes target=n_4c6e357f4b83\nt=0030 ADD_EDGE edge_id=e_067705d05d06 source=n_2aec6f22b324 edge_type=supports target=n_ad3069bce50b\nt=0031 ADD_EDGE edge_id=e_178f218052ee source=n_853748938ef6 edge_type=supports target=n_d0003151b6f0\nt=0032 ADD_EDGE edge_id=e_4c3b17efa33b source=n_9c7ea9d67517 edge_type=supports target=n_ce21721a82a3\nt=0033 ADD_EDGE edge_id=e_7564844bff41 source=n_4c6e357f4b83 edge_type=supports target=n_59b12ec96304\nt=0034 ADD_EDGE edge_id=e_91e7eb852298 source=n_4c6e357f4b83 edge_type=refutes target=n_36ba01293cf6\nt=0035 ADD_EDGE edge_id=e_d38f3a838933 source=n_929697c34176 edge_type=refutes target=n_2da019bcffc6\nt=0036 ADD_EDGE edge_id=e_3ff8ad886ce6 source=n_853748938ef6 edge_type=refutes target=n_00de26d0fb45\nt=0037 ADD_EDGE edge_id=e_3c1c753ec795 source=n_00de26d0fb45 edge_type=refutes target=n_69560cf07622\nt=0038 ADD_EDGE edge_id=e_c26c71a5c77f source=n_ee690194138b edge_type=supports target=n_a7bafab1e7f2\nt=0039 ADD_EDGE edge_id=e_7bc2e7ea602c source=n_9c7ea9d67517 edge_type=refutes target=n_5d71575e4758\nt=0040 ADD_EDGE edge_id=e_7e728a9cc674 source=n_d0003151b6f0 edge_type=supports target=n_929697c34176\nt=0041 ADD_EDGE edge_id=e_0cc591bcb037 source=n_4c6e357f4b83 edge_type=supports target=n_a05d48957694\nt=0042 ADD_EDGE edge_id=e_5ade62720425 source=n_d0003151b6f0 edge_type=supports target=n_9c7ea9d67517\nt=0043 ADD_EDGE edge_id=e_48588b9dff10 source=n_8f4caa74d8a1 edge_type=refutes target=n_ee690194138b\nt=0044 ADD_EDGE edge_id=e_4072b1528b4e source=n_36ba01293cf6 edge_type=refutes target=n_8f4caa74d8a1\nt=0045 ADD_EDGE edge_id=e_92bf9acc3871 source=n_ee690194138b edge_type=supports target=n_58a4320ff90a\nt=0046 ADD_EDGE edge_id=e_024153a46b58 source=n_ee690194138b edge_type=supports target=n_b695a68e31ca\nt=0047 ADD_EDGE edge_id=e_7cc3cff0853a source=n_ce21721a82a3 edge_type=supports target=n_23ad60d594d6\nt=0048 ADD_EDGE edge_id=e_4b0ae3829c67 source=n_6280e52c95b4 edge_type=supports target=n_2aec6f22b324\nt=0049 ADD_EDGE edge_id=e_74d336dc669d source=n_23ad60d594d6 edge_type=refutes target=n_92b6e869fbc3\nt=0050 ADD_EDGE edge_id=e_436018be8e4a source=n_a7bafab1e7f2 edge_type=refutes target=n_7917330e3234\nt=0051 QUERY source=n_6280e52c95b4 target=n_7917330e3234\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2462,"provenance":{"base_record_id":"train-d08-018","dataset":"livegraph-deterministic-parity-v3","depth":8,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d08-018","split":"train","variant":"clean"},"record_seed":350419974188391310,"render_sha256":"e37b58a9a77436b8663bc9d57ccacc4bfd61b34781d25acf44eb39441c5b5f08","representation":"linear_trace","semantic_sha256":"a6c21caba12a2f81ce4cc7636873ee1920ced3776402eb112a93a4aa51785bf2"}
{"char_count":4467,"item_id":"train-d08-019::linear_trace","label":"FALSE","lexical_token_proxy_count":764,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_3efea4233e31 node_type=claim\nt=0001 CREATE_NODE id=n_43d434b3c132 node_type=claim\nt=0002 CREATE_NODE id=n_08929270ef4b node_type=claim\nt=0003 CREATE_NODE id=n_782ebebff084 node_type=claim\nt=0004 CREATE_NODE id=n_fc64c3fa9243 node_type=claim\nt=0005 CREATE_NODE id=n_0ed519fa591e node_type=claim\nt=0006 CREATE_NODE id=n_653ef927ca3d node_type=claim\nt=0007 CREATE_NODE id=n_e63b8e4f2d8f node_type=claim\nt=0008 CREATE_NODE id=n_7dcc40fe4ae7 node_type=claim\nt=0009 CREATE_NODE id=n_7b7b6faefe20 node_type=claim\nt=0010 CREATE_NODE id=n_33d2b052306e node_type=claim\nt=0011 CREATE_NODE id=n_1be8e2f5ba8f node_type=claim\nt=0012 CREATE_NODE id=n_8ae0066bab1c node_type=claim\nt=0013 CREATE_NODE id=n_d67d7e655f87 node_type=claim\nt=0014 CREATE_NODE id=n_82e9d4962c35 node_type=claim\nt=0015 CREATE_NODE id=n_5c0464b43a05 node_type=claim\nt=0016 CREATE_NODE id=n_95518ccd066e node_type=claim\nt=0017 CREATE_NODE id=n_22236c869ace node_type=claim\nt=0018 CREATE_NODE id=n_8d711dc1ad8c node_type=claim\nt=0019 CREATE_NODE id=n_2e4cfdcf3fe0 node_type=claim\nt=0020 CREATE_NODE id=n_2b909d1ec747 node_type=claim\nt=0021 CREATE_NODE id=n_bb27c0528ae6 node_type=claim\nt=0022 CREATE_NODE id=n_705ad6a75629 node_type=claim\nt=0023 CREATE_NODE id=n_31edd63efd5f node_type=claim\nt=0024 CREATE_NODE id=n_e0c0b888e521 node_type=claim\nt=0025 CREATE_NODE id=n_18b0e7ea6964 node_type=claim\nt=0026 ASSERT_ROOT node=n_31edd63efd5f value=FALSE\nt=0027 ADD_EDGE edge_id=e_cc856914958d source=n_43d434b3c132 edge_type=refutes target=n_0ed519fa591e\nt=0028 ADD_EDGE edge_id=e_3d63638d1931 source=n_1be8e2f5ba8f edge_type=refutes target=n_e63b8e4f2d8f\nt=0029 ADD_EDGE edge_id=e_78126adac993 source=n_fc64c3fa9243 edge_type=refutes target=n_43d434b3c132\nt=0030 ADD_EDGE edge_id=e_264581ec4abe source=n_0ed519fa591e edge_type=supports target=n_e0c0b888e521\nt=0031 ADD_EDGE edge_id=e_2bea0f798a19 source=n_1be8e2f5ba8f edge_type=refutes target=n_653ef927ca3d\nt=0032 ADD_EDGE edge_id=e_c9ef71266dd6 source=n_7dcc40fe4ae7 edge_type=refutes target=n_5c0464b43a05\nt=0033 ADD_EDGE edge_id=e_d359ac3694a4 source=n_e0c0b888e521 edge_type=supports target=n_95518ccd066e\nt=0034 ADD_EDGE edge_id=e_6268d281d62b source=n_31edd63efd5f edge_type=refutes target=n_33d2b052306e\nt=0035 ADD_EDGE edge_id=e_6fce69b45bc8 source=n_33d2b052306e edge_type=supports target=n_8ae0066bab1c\nt=0036 ADD_EDGE edge_id=e_537c6bb331ce source=n_1be8e2f5ba8f edge_type=supports target=n_bb27c0528ae6\nt=0037 ADD_EDGE edge_id=e_bd9dd7a459f5 source=n_18b0e7ea6964 edge_type=refutes target=n_fc64c3fa9243\nt=0038 ADD_EDGE edge_id=e_e5b519672799 source=n_e0c0b888e521 edge_type=supports target=n_22236c869ace\nt=0039 ADD_EDGE edge_id=e_9201537b8f5c source=n_782ebebff084 edge_type=supports target=n_d67d7e655f87\nt=0040 ADD_EDGE edge_id=e_16408f8093b0 source=n_82e9d4962c35 edge_type=refutes target=n_18b0e7ea6964\nt=0041 ADD_EDGE edge_id=e_9ccff4ffb3ab source=n_7b7b6faefe20 edge_type=supports target=n_7dcc40fe4ae7\nt=0042 ADD_EDGE edge_id=e_9a62829b9033 source=n_e0c0b888e521 edge_type=supports target=n_08929270ef4b\nt=0043 ADD_EDGE edge_id=e_e3884d2c09fa source=n_2e4cfdcf3fe0 edge_type=refutes target=n_782ebebff084\nt=0044 ADD_EDGE edge_id=e_5cf425afe6cd source=n_33d2b052306e edge_type=refutes target=n_82e9d4962c35\nt=0045 ADD_EDGE edge_id=e_745820c99500 source=n_2e4cfdcf3fe0 edge_type=supports target=n_2b909d1ec747\nt=0046 ADD_EDGE edge_id=e_b3ca5e68003b source=n_1be8e2f5ba8f edge_type=refutes target=n_2e4cfdcf3fe0\nt=0047 ADD_EDGE edge_id=e_22530a00932d source=n_2b909d1ec747 edge_type=refutes target=n_705ad6a75629\nt=0048 ADD_EDGE edge_id=e_51b56f351b5d source=n_1be8e2f5ba8f edge_type=supports target=n_7b7b6faefe20\nt=0049 ADD_EDGE edge_id=e_4d4f1d0e25cd source=n_2e4cfdcf3fe0 edge_type=supports target=n_8d711dc1ad8c\nt=0050 ADD_EDGE edge_id=e_b45aa30defe7 source=n_18b0e7ea6964 edge_type=supports target=n_3efea4233e31\nt=0051 QUERY source=n_31edd63efd5f target=n_95518ccd066e\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2422,"provenance":{"base_record_id":"train-d08-019","dataset":"livegraph-deterministic-parity-v3","depth":8,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d08-019","split":"train","variant":"clean"},"record_seed":210310731465580984,"render_sha256":"2a24ed6b7200a4fba5caf177c41d441b56adee0fe7c87913a02219b8165bb948","representation":"linear_trace","semantic_sha256":"ab6faa67dce3f0278c036657061a2d5154a80be9af5c5705f8425999ca95ee5e"}
{"char_count":4466,"item_id":"train-d08-020::linear_trace","label":"TRUE","lexical_token_proxy_count":764,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_dc8540e0cb06 node_type=claim\nt=0001 CREATE_NODE id=n_7e5727c7ac93 node_type=claim\nt=0002 CREATE_NODE id=n_1e73d6e53ca1 node_type=claim\nt=0003 CREATE_NODE id=n_e50633622a48 node_type=claim\nt=0004 CREATE_NODE id=n_a0aa4bbb8c4b node_type=claim\nt=0005 CREATE_NODE id=n_1d64fc45aa14 node_type=claim\nt=0006 CREATE_NODE id=n_074220de0554 node_type=claim\nt=0007 CREATE_NODE id=n_c19174bef0f5 node_type=claim\nt=0008 CREATE_NODE id=n_5a9e1507ec4b node_type=claim\nt=0009 CREATE_NODE id=n_1539013bfd59 node_type=claim\nt=0010 CREATE_NODE id=n_c433fdb37e16 node_type=claim\nt=0011 CREATE_NODE id=n_c76bce8eece1 node_type=claim\nt=0012 CREATE_NODE id=n_426ff7967fb9 node_type=claim\nt=0013 CREATE_NODE id=n_ecdea664f722 node_type=claim\nt=0014 CREATE_NODE id=n_5538548eeb65 node_type=claim\nt=0015 CREATE_NODE id=n_6264a8c28dc0 node_type=claim\nt=0016 CREATE_NODE id=n_c4f9bd3b7354 node_type=claim\nt=0017 CREATE_NODE id=n_41af9560ab0f node_type=claim\nt=0018 CREATE_NODE id=n_f1aa995b6d51 node_type=claim\nt=0019 CREATE_NODE id=n_25583db98526 node_type=claim\nt=0020 CREATE_NODE id=n_776f40d74cfa node_type=claim\nt=0021 CREATE_NODE id=n_8a614c9e117e node_type=claim\nt=0022 CREATE_NODE id=n_a92117599c6f node_type=claim\nt=0023 CREATE_NODE id=n_1ff36c0bd823 node_type=claim\nt=0024 CREATE_NODE id=n_27fd59fabed5 node_type=claim\nt=0025 CREATE_NODE id=n_5bdf070c635b node_type=claim\nt=0026 ASSERT_ROOT node=n_1d64fc45aa14 value=TRUE\nt=0027 ADD_EDGE edge_id=e_80be0ce90f23 source=n_426ff7967fb9 edge_type=supports target=n_a92117599c6f\nt=0028 ADD_EDGE edge_id=e_2ceac272819a source=n_1ff36c0bd823 edge_type=supports target=n_f1aa995b6d51\nt=0029 ADD_EDGE edge_id=e_bcab3d6b4da9 source=n_dc8540e0cb06 edge_type=supports target=n_426ff7967fb9\nt=0030 ADD_EDGE edge_id=e_0e59b34f4d59 source=n_27fd59fabed5 edge_type=supports target=n_1539013bfd59\nt=0031 ADD_EDGE edge_id=e_d07041d6f266 source=n_5538548eeb65 edge_type=supports target=n_5a9e1507ec4b\nt=0032 ADD_EDGE edge_id=e_5da11e8417cc source=n_5538548eeb65 edge_type=refutes target=n_c433fdb37e16\nt=0033 ADD_EDGE edge_id=e_b6af420b9250 source=n_1ff36c0bd823 edge_type=refutes target=n_074220de0554\nt=0034 ADD_EDGE edge_id=e_134f6424aeac source=n_8a614c9e117e edge_type=supports target=n_ecdea664f722\nt=0035 ADD_EDGE edge_id=e_3770026df6b1 source=n_1d64fc45aa14 edge_type=refutes target=n_5538548eeb65\nt=0036 ADD_EDGE edge_id=e_7ac136eac8d5 source=n_7e5727c7ac93 edge_type=supports target=n_27fd59fabed5\nt=0037 ADD_EDGE edge_id=e_255ceebdd52c source=n_8a614c9e117e edge_type=refutes target=n_e50633622a48\nt=0038 ADD_EDGE edge_id=e_3aa8606a233a source=n_c4f9bd3b7354 edge_type=supports target=n_5bdf070c635b\nt=0039 ADD_EDGE edge_id=e_092ea894d662 source=n_dc8540e0cb06 edge_type=refutes target=n_c76bce8eece1\nt=0040 ADD_EDGE edge_id=e_f7431aa82d4c source=n_8a614c9e117e edge_type=refutes target=n_a0aa4bbb8c4b\nt=0041 ADD_EDGE edge_id=e_0042f7431b49 source=n_dc8540e0cb06 edge_type=supports target=n_25583db98526\nt=0042 ADD_EDGE edge_id=e_724b3d014448 source=n_074220de0554 edge_type=refutes target=n_6264a8c28dc0\nt=0043 ADD_EDGE edge_id=e_ff9cf7bf50be source=n_27fd59fabed5 edge_type=refutes target=n_c19174bef0f5\nt=0044 ADD_EDGE edge_id=e_7c431fbf0c79 source=n_8a614c9e117e edge_type=refutes target=n_41af9560ab0f\nt=0045 ADD_EDGE edge_id=e_7cf46f29b08d source=n_5a9e1507ec4b edge_type=supports target=n_dc8540e0cb06\nt=0046 ADD_EDGE edge_id=e_d314ff0a89f6 source=n_5bdf070c635b edge_type=supports target=n_776f40d74cfa\nt=0047 ADD_EDGE edge_id=e_47b9239a4b25 source=n_8a614c9e117e edge_type=refutes target=n_1e73d6e53ca1\nt=0048 ADD_EDGE edge_id=e_bce25e355e72 source=n_ecdea664f722 edge_type=supports target=n_1ff36c0bd823\nt=0049 ADD_EDGE edge_id=e_4a9b23712df6 source=n_a92117599c6f edge_type=refutes target=n_7e5727c7ac93\nt=0050 ADD_EDGE edge_id=e_4792cad3f4ef source=n_1ff36c0bd823 edge_type=refutes target=n_c4f9bd3b7354\nt=0051 QUERY source=n_1d64fc45aa14 target=n_1539013bfd59\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2432,"provenance":{"base_record_id":"train-d08-020","dataset":"livegraph-deterministic-parity-v3","depth":8,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d08-020","split":"train","variant":"clean"},"record_seed":824602005252526840,"render_sha256":"36059044d049637bcf08ce56c152fc4ff1a2472b06e2773f27a13070fbed8262","representation":"linear_trace","semantic_sha256":"3856a8e15edcac7f19f9634565d4abdfe3bb730c3569ef518a6084ade2f84c2a"}
{"char_count":4466,"item_id":"train-d08-021::linear_trace","label":"FALSE","lexical_token_proxy_count":764,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_cae3c3a17bc0 node_type=claim\nt=0001 CREATE_NODE id=n_6aa7d0b5c55b node_type=claim\nt=0002 CREATE_NODE id=n_8bc2876f6ef2 node_type=claim\nt=0003 CREATE_NODE id=n_7a2093ab894c node_type=claim\nt=0004 CREATE_NODE id=n_571e72e6ee66 node_type=claim\nt=0005 CREATE_NODE id=n_745312357cfa node_type=claim\nt=0006 CREATE_NODE id=n_cb8686b770d3 node_type=claim\nt=0007 CREATE_NODE id=n_770988ab35dd node_type=claim\nt=0008 CREATE_NODE id=n_693b22b051c3 node_type=claim\nt=0009 CREATE_NODE id=n_2a3c479b072f node_type=claim\nt=0010 CREATE_NODE id=n_612a2930eb8e node_type=claim\nt=0011 CREATE_NODE id=n_252193974e78 node_type=claim\nt=0012 CREATE_NODE id=n_f19cce942f70 node_type=claim\nt=0013 CREATE_NODE id=n_1a9bd82f61cb node_type=claim\nt=0014 CREATE_NODE id=n_861a4b4871f9 node_type=claim\nt=0015 CREATE_NODE id=n_8c605ede70fd node_type=claim\nt=0016 CREATE_NODE id=n_7ceaf8648b08 node_type=claim\nt=0017 CREATE_NODE id=n_e29c856af1e6 node_type=claim\nt=0018 CREATE_NODE id=n_141387f28c1e node_type=claim\nt=0019 CREATE_NODE id=n_60afe35bdb43 node_type=claim\nt=0020 CREATE_NODE id=n_b919e15c1940 node_type=claim\nt=0021 CREATE_NODE id=n_00050c922528 node_type=claim\nt=0022 CREATE_NODE id=n_424656bf45ed node_type=claim\nt=0023 CREATE_NODE id=n_9abb63363ec6 node_type=claim\nt=0024 CREATE_NODE id=n_9995ff4cef12 node_type=claim\nt=0025 CREATE_NODE id=n_a6051048a829 node_type=claim\nt=0026 ASSERT_ROOT node=n_745312357cfa value=TRUE\nt=0027 ADD_EDGE edge_id=e_1ce111800917 source=n_770988ab35dd edge_type=refutes target=n_612a2930eb8e\nt=0028 ADD_EDGE edge_id=e_bef45a714111 source=n_cb8686b770d3 edge_type=refutes target=n_b919e15c1940\nt=0029 ADD_EDGE edge_id=e_90ea5483719c source=n_8bc2876f6ef2 edge_type=refutes target=n_1a9bd82f61cb\nt=0030 ADD_EDGE edge_id=e_a6408fed0c7f source=n_cb8686b770d3 edge_type=supports target=n_6aa7d0b5c55b\nt=0031 ADD_EDGE edge_id=e_bd565a0a4957 source=n_424656bf45ed edge_type=refutes target=n_f19cce942f70\nt=0032 ADD_EDGE edge_id=e_3062095e6560 source=n_1a9bd82f61cb edge_type=refutes target=n_00050c922528\nt=0033 ADD_EDGE edge_id=e_48bf04d0f4b0 source=n_cae3c3a17bc0 edge_type=supports target=n_8c605ede70fd\nt=0034 ADD_EDGE edge_id=e_caf91a00c99e source=n_a6051048a829 edge_type=supports target=n_424656bf45ed\nt=0035 ADD_EDGE edge_id=e_f1306f7bd8c9 source=n_2a3c479b072f edge_type=supports target=n_e29c856af1e6\nt=0036 ADD_EDGE edge_id=e_fe8500355c0f source=n_cb8686b770d3 edge_type=refutes target=n_861a4b4871f9\nt=0037 ADD_EDGE edge_id=e_44292604e021 source=n_141387f28c1e edge_type=supports target=n_60afe35bdb43\nt=0038 ADD_EDGE edge_id=e_71cf2febca61 source=n_9abb63363ec6 edge_type=supports target=n_7a2093ab894c\nt=0039 ADD_EDGE edge_id=e_1b66066badf0 source=n_424656bf45ed edge_type=supports target=n_9995ff4cef12\nt=0040 ADD_EDGE edge_id=e_ba17b37f520b source=n_9abb63363ec6 edge_type=refutes target=n_252193974e78\nt=0041 ADD_EDGE edge_id=e_a9a3768adfc9 source=n_1a9bd82f61cb edge_type=refutes target=n_571e72e6ee66\nt=0042 ADD_EDGE edge_id=e_41f99d932fb2 source=n_141387f28c1e edge_type=supports target=n_2a3c479b072f\nt=0043 ADD_EDGE edge_id=e_29ac94e2b6ba source=n_7a2093ab894c edge_type=refutes target=n_cae3c3a17bc0\nt=0044 ADD_EDGE edge_id=e_852b65c20e46 source=n_9abb63363ec6 edge_type=refutes target=n_cb8686b770d3\nt=0045 ADD_EDGE edge_id=e_4422c5cd7ff0 source=n_571e72e6ee66 edge_type=supports target=n_a6051048a829\nt=0046 ADD_EDGE edge_id=e_4917c4f92f28 source=n_693b22b051c3 edge_type=supports target=n_770988ab35dd\nt=0047 ADD_EDGE edge_id=e_fc85a3bbd05d source=n_693b22b051c3 edge_type=refutes target=n_7ceaf8648b08\nt=0048 ADD_EDGE edge_id=e_3ee877f09d61 source=n_424656bf45ed edge_type=refutes target=n_141387f28c1e\nt=0049 ADD_EDGE edge_id=e_e1881b9e21eb source=n_9abb63363ec6 edge_type=supports target=n_693b22b051c3\nt=0050 ADD_EDGE edge_id=e_692622ead7e3 source=n_745312357cfa edge_type=supports target=n_8bc2876f6ef2\nt=0051 QUERY source=n_745312357cfa target=n_e29c856af1e6\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2447,"provenance":{"base_record_id":"train-d08-021","dataset":"livegraph-deterministic-parity-v3","depth":8,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d08-021","split":"train","variant":"clean"},"record_seed":976703176280954804,"render_sha256":"e3e3f417169f452287e58848f8a12afc792c5f12a07134c0177da4e2c5d7c552","representation":"linear_trace","semantic_sha256":"2dc4a0f0ec5d583e922bf47032e202ca6536a7ec547bf2e44bdbe98be8faddd3"}
{"char_count":4467,"item_id":"train-d08-022::linear_trace","label":"TRUE","lexical_token_proxy_count":764,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_63009bd8b645 node_type=claim\nt=0001 CREATE_NODE id=n_0e74f614e519 node_type=claim\nt=0002 CREATE_NODE id=n_d731d36d8082 node_type=claim\nt=0003 CREATE_NODE id=n_ceb2ecb06824 node_type=claim\nt=0004 CREATE_NODE id=n_d72b93763807 node_type=claim\nt=0005 CREATE_NODE id=n_5bf6e600fd3a node_type=claim\nt=0006 CREATE_NODE id=n_7be53b0fc6b3 node_type=claim\nt=0007 CREATE_NODE id=n_364ab287fe70 node_type=claim\nt=0008 CREATE_NODE id=n_19044245436d node_type=claim\nt=0009 CREATE_NODE id=n_410c769b1100 node_type=claim\nt=0010 CREATE_NODE id=n_87323b120fa7 node_type=claim\nt=0011 CREATE_NODE id=n_50e892b22a46 node_type=claim\nt=0012 CREATE_NODE id=n_bf85abd0cd29 node_type=claim\nt=0013 CREATE_NODE id=n_1ed173e17557 node_type=claim\nt=0014 CREATE_NODE id=n_91e0c0ec4e35 node_type=claim\nt=0015 CREATE_NODE id=n_8d041d856800 node_type=claim\nt=0016 CREATE_NODE id=n_3cc9a2811bb6 node_type=claim\nt=0017 CREATE_NODE id=n_59b612d2f16f node_type=claim\nt=0018 CREATE_NODE id=n_6686c09042e3 node_type=claim\nt=0019 CREATE_NODE id=n_9ad2037d37b8 node_type=claim\nt=0020 CREATE_NODE id=n_4c7e799035a3 node_type=claim\nt=0021 CREATE_NODE id=n_a6cd517697ce node_type=claim\nt=0022 CREATE_NODE id=n_badb58c0007d node_type=claim\nt=0023 CREATE_NODE id=n_839f4bb9f98b node_type=claim\nt=0024 CREATE_NODE id=n_5f29a6c7fc47 node_type=claim\nt=0025 CREATE_NODE id=n_74b468a17f7b node_type=claim\nt=0026 ASSERT_ROOT node=n_5f29a6c7fc47 value=FALSE\nt=0027 ADD_EDGE edge_id=e_b24b5be6787c source=n_bf85abd0cd29 edge_type=refutes target=n_badb58c0007d\nt=0028 ADD_EDGE edge_id=e_d7be2d722f03 source=n_bf85abd0cd29 edge_type=supports target=n_5bf6e600fd3a\nt=0029 ADD_EDGE edge_id=e_3666a8f501b7 source=n_7be53b0fc6b3 edge_type=supports target=n_74b468a17f7b\nt=0030 ADD_EDGE edge_id=e_b62bc36ea5ce source=n_8d041d856800 edge_type=supports target=n_4c7e799035a3\nt=0031 ADD_EDGE edge_id=e_74ab38c43f5e source=n_1ed173e17557 edge_type=refutes target=n_63009bd8b645\nt=0032 ADD_EDGE edge_id=e_9afb0210be27 source=n_4c7e799035a3 edge_type=supports target=n_59b612d2f16f\nt=0033 ADD_EDGE edge_id=e_c7330b96989c source=n_3cc9a2811bb6 edge_type=refutes target=n_364ab287fe70\nt=0034 ADD_EDGE edge_id=e_a174f635e621 source=n_a6cd517697ce edge_type=refutes target=n_d72b93763807\nt=0035 ADD_EDGE edge_id=e_a3342d1a3a27 source=n_ceb2ecb06824 edge_type=supports target=n_839f4bb9f98b\nt=0036 ADD_EDGE edge_id=e_55977c589553 source=n_5f29a6c7fc47 edge_type=supports target=n_bf85abd0cd29\nt=0037 ADD_EDGE edge_id=e_79880ad03be1 source=n_0e74f614e519 edge_type=refutes target=n_91e0c0ec4e35\nt=0038 ADD_EDGE edge_id=e_86a80f8d29bf source=n_7be53b0fc6b3 edge_type=supports target=n_50e892b22a46\nt=0039 ADD_EDGE edge_id=e_c7dd42231fab source=n_1ed173e17557 edge_type=refutes target=n_87323b120fa7\nt=0040 ADD_EDGE edge_id=e_90a16a6b9444 source=n_d731d36d8082 edge_type=refutes target=n_ceb2ecb06824\nt=0041 ADD_EDGE edge_id=e_4771092b25b8 source=n_0e74f614e519 edge_type=refutes target=n_6686c09042e3\nt=0042 ADD_EDGE edge_id=e_0fa55dab7fd0 source=n_a6cd517697ce edge_type=supports target=n_8d041d856800\nt=0043 ADD_EDGE edge_id=e_a8c01bf218f1 source=n_59b612d2f16f edge_type=supports target=n_d731d36d8082\nt=0044 ADD_EDGE edge_id=e_282ecf127586 source=n_bf85abd0cd29 edge_type=supports target=n_a6cd517697ce\nt=0045 ADD_EDGE edge_id=e_b6d3834ba5d9 source=n_91e0c0ec4e35 edge_type=supports target=n_3cc9a2811bb6\nt=0046 ADD_EDGE edge_id=e_f1819a5ec7a0 source=n_6686c09042e3 edge_type=refutes target=n_410c769b1100\nt=0047 ADD_EDGE edge_id=e_d357e9c98a1b source=n_59b612d2f16f edge_type=refutes target=n_9ad2037d37b8\nt=0048 ADD_EDGE edge_id=e_e7046575866b source=n_3cc9a2811bb6 edge_type=supports target=n_19044245436d\nt=0049 ADD_EDGE edge_id=e_65758598977f source=n_7be53b0fc6b3 edge_type=refutes target=n_0e74f614e519\nt=0050 ADD_EDGE edge_id=e_37ac4ad2a066 source=n_91e0c0ec4e35 edge_type=refutes target=n_1ed173e17557\nt=0051 QUERY source=n_5f29a6c7fc47 target=n_839f4bb9f98b\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2471,"provenance":{"base_record_id":"train-d08-022","dataset":"livegraph-deterministic-parity-v3","depth":8,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d08-022","split":"train","variant":"clean"},"record_seed":987669986250033792,"render_sha256":"47e3d489cc1c7a85c6c2f9389edd124d5dd84d8de090e9e1a060a4d950d049a0","representation":"linear_trace","semantic_sha256":"05f4e88505e9669094cb4e04e56daf278f27e90d372f21b1f839427d2fcd84ce"}
{"char_count":4467,"item_id":"train-d08-023::linear_trace","label":"FALSE","lexical_token_proxy_count":764,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_2c722fb7628b node_type=claim\nt=0001 CREATE_NODE id=n_58d65b438ca1 node_type=claim\nt=0002 CREATE_NODE id=n_582cbfce31fe node_type=claim\nt=0003 CREATE_NODE id=n_7b5b522fadb6 node_type=claim\nt=0004 CREATE_NODE id=n_927f9f573957 node_type=claim\nt=0005 CREATE_NODE id=n_2bf6cbfc14ea node_type=claim\nt=0006 CREATE_NODE id=n_491235a78e6d node_type=claim\nt=0007 CREATE_NODE id=n_226dd71b6b42 node_type=claim\nt=0008 CREATE_NODE id=n_172178fc438f node_type=claim\nt=0009 CREATE_NODE id=n_c3da60922bb2 node_type=claim\nt=0010 CREATE_NODE id=n_c5f3f7f0c38b node_type=claim\nt=0011 CREATE_NODE id=n_529bb752d364 node_type=claim\nt=0012 CREATE_NODE id=n_803261434d68 node_type=claim\nt=0013 CREATE_NODE id=n_3eeb69364b3f node_type=claim\nt=0014 CREATE_NODE id=n_cda8b8c1793e node_type=claim\nt=0015 CREATE_NODE id=n_d86f226f66f3 node_type=claim\nt=0016 CREATE_NODE id=n_b716d5786fa1 node_type=claim\nt=0017 CREATE_NODE id=n_cb0f382f0acc node_type=claim\nt=0018 CREATE_NODE id=n_159fdabf446f node_type=claim\nt=0019 CREATE_NODE id=n_7c4233b33670 node_type=claim\nt=0020 CREATE_NODE id=n_d64934ffda91 node_type=claim\nt=0021 CREATE_NODE id=n_a4a1f035164c node_type=claim\nt=0022 CREATE_NODE id=n_1d6a1e88360a node_type=claim\nt=0023 CREATE_NODE id=n_3d0e94877adf node_type=claim\nt=0024 CREATE_NODE id=n_b19c03a27ff9 node_type=claim\nt=0025 CREATE_NODE id=n_54ac7fccb0e4 node_type=claim\nt=0026 ASSERT_ROOT node=n_491235a78e6d value=FALSE\nt=0027 ADD_EDGE edge_id=e_cc27c6848686 source=n_7c4233b33670 edge_type=refutes target=n_2c722fb7628b\nt=0028 ADD_EDGE edge_id=e_49a5132f57ad source=n_d86f226f66f3 edge_type=refutes target=n_803261434d68\nt=0029 ADD_EDGE edge_id=e_8d09eccbf4e7 source=n_582cbfce31fe edge_type=supports target=n_226dd71b6b42\nt=0030 ADD_EDGE edge_id=e_cfffafcd91c3 source=n_54ac7fccb0e4 edge_type=supports target=n_b716d5786fa1\nt=0031 ADD_EDGE edge_id=e_d7562feded0e source=n_b19c03a27ff9 edge_type=refutes target=n_3eeb69364b3f\nt=0032 ADD_EDGE edge_id=e_5e2c62e3291e source=n_a4a1f035164c edge_type=refutes target=n_7c4233b33670\nt=0033 ADD_EDGE edge_id=e_0e8bc6c86ce9 source=n_b716d5786fa1 edge_type=refutes target=n_cb0f382f0acc\nt=0034 ADD_EDGE edge_id=e_34c6feabdfe7 source=n_c3da60922bb2 edge_type=refutes target=n_927f9f573957\nt=0035 ADD_EDGE edge_id=e_35aaed9036b1 source=n_529bb752d364 edge_type=refutes target=n_cda8b8c1793e\nt=0036 ADD_EDGE edge_id=e_dc3170d07dd1 source=n_7b5b522fadb6 edge_type=supports target=n_1d6a1e88360a\nt=0037 ADD_EDGE edge_id=e_0e7176944fc0 source=n_7b5b522fadb6 edge_type=supports target=n_54ac7fccb0e4\nt=0038 ADD_EDGE edge_id=e_45f235692415 source=n_3d0e94877adf edge_type=supports target=n_58d65b438ca1\nt=0039 ADD_EDGE edge_id=e_bc3ea7d84a7f source=n_a4a1f035164c edge_type=supports target=n_c5f3f7f0c38b\nt=0040 ADD_EDGE edge_id=e_f956c13939f4 source=n_3d0e94877adf edge_type=refutes target=n_c3da60922bb2\nt=0041 ADD_EDGE edge_id=e_e73cc9c8585d source=n_d86f226f66f3 edge_type=refutes target=n_2bf6cbfc14ea\nt=0042 ADD_EDGE edge_id=e_a5caa6147842 source=n_803261434d68 edge_type=refutes target=n_7b5b522fadb6\nt=0043 ADD_EDGE edge_id=e_56871a0f5f08 source=n_491235a78e6d edge_type=supports target=n_d86f226f66f3\nt=0044 ADD_EDGE edge_id=e_96dfe8c5018a source=n_b19c03a27ff9 edge_type=supports target=n_529bb752d364\nt=0045 ADD_EDGE edge_id=e_008774c6878c source=n_cda8b8c1793e edge_type=supports target=n_172178fc438f\nt=0046 ADD_EDGE edge_id=e_1c49493f8d8c source=n_c5f3f7f0c38b edge_type=refutes target=n_d64934ffda91\nt=0047 ADD_EDGE edge_id=e_43cf42e4d116 source=n_172178fc438f edge_type=supports target=n_a4a1f035164c\nt=0048 ADD_EDGE edge_id=e_4cb5c1edb42d source=n_3eeb69364b3f edge_type=supports target=n_582cbfce31fe\nt=0049 ADD_EDGE edge_id=e_680ed2d2638d source=n_b19c03a27ff9 edge_type=refutes target=n_159fdabf446f\nt=0050 ADD_EDGE edge_id=e_683b384391d4 source=n_cb0f382f0acc edge_type=supports target=n_3d0e94877adf\nt=0051 QUERY source=n_491235a78e6d target=n_c3da60922bb2\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2455,"provenance":{"base_record_id":"train-d08-023","dataset":"livegraph-deterministic-parity-v3","depth":8,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d08-023","split":"train","variant":"clean"},"record_seed":1080528925392371027,"render_sha256":"c02083e5b55c27b6c0b2f78017a1623bd07ae3937011a028b7b411974ea20b0d","representation":"linear_trace","semantic_sha256":"3dbc625ff3266c2a2530d51017b83372695608acb9688ab99ca85afbcca207ea"}
{"char_count":4466,"item_id":"train-d08-024::linear_trace","label":"TRUE","lexical_token_proxy_count":764,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_a07592e8f7fc node_type=claim\nt=0001 CREATE_NODE id=n_17aae18bc06d node_type=claim\nt=0002 CREATE_NODE id=n_eeccb80f5ae0 node_type=claim\nt=0003 CREATE_NODE id=n_f59b736e8c47 node_type=claim\nt=0004 CREATE_NODE id=n_a4cf86bd17ff node_type=claim\nt=0005 CREATE_NODE id=n_438429ad7b8a node_type=claim\nt=0006 CREATE_NODE id=n_89a0a06c81de node_type=claim\nt=0007 CREATE_NODE id=n_539740e4142e node_type=claim\nt=0008 CREATE_NODE id=n_1c54b912f399 node_type=claim\nt=0009 CREATE_NODE id=n_d7b5c319e9d7 node_type=claim\nt=0010 CREATE_NODE id=n_20d50f5b7d19 node_type=claim\nt=0011 CREATE_NODE id=n_09ccf338745d node_type=claim\nt=0012 CREATE_NODE id=n_7721619a26fc node_type=claim\nt=0013 CREATE_NODE id=n_3bc1ee96321c node_type=claim\nt=0014 CREATE_NODE id=n_53c2972f52c0 node_type=claim\nt=0015 CREATE_NODE id=n_202035ed606a node_type=claim\nt=0016 CREATE_NODE id=n_a8faa9602964 node_type=claim\nt=0017 CREATE_NODE id=n_6508cf26a283 node_type=claim\nt=0018 CREATE_NODE id=n_5ceb722b6ee3 node_type=claim\nt=0019 CREATE_NODE id=n_5ce32c396233 node_type=claim\nt=0020 CREATE_NODE id=n_e98a1d8e7cc8 node_type=claim\nt=0021 CREATE_NODE id=n_8be7bb99fadc node_type=claim\nt=0022 CREATE_NODE id=n_2f08c63f5199 node_type=claim\nt=0023 CREATE_NODE id=n_11634a96c0e6 node_type=claim\nt=0024 CREATE_NODE id=n_972894e54af5 node_type=claim\nt=0025 CREATE_NODE id=n_ae3d8c32075f node_type=claim\nt=0026 ASSERT_ROOT node=n_8be7bb99fadc value=TRUE\nt=0027 ADD_EDGE edge_id=e_301584121ad9 source=n_11634a96c0e6 edge_type=supports target=n_2f08c63f5199\nt=0028 ADD_EDGE edge_id=e_8b2b6f6f9071 source=n_972894e54af5 edge_type=refutes target=n_09ccf338745d\nt=0029 ADD_EDGE edge_id=e_9a89300b0d90 source=n_09ccf338745d edge_type=supports target=n_a8faa9602964\nt=0030 ADD_EDGE edge_id=e_9fffbb03660f source=n_3bc1ee96321c edge_type=supports target=n_eeccb80f5ae0\nt=0031 ADD_EDGE edge_id=e_3cf90eb94471 source=n_09ccf338745d edge_type=refutes target=n_539740e4142e\nt=0032 ADD_EDGE edge_id=e_d05f781640d9 source=n_d7b5c319e9d7 edge_type=refutes target=n_438429ad7b8a\nt=0033 ADD_EDGE edge_id=e_3edbe89cce59 source=n_8be7bb99fadc edge_type=refutes target=n_a4cf86bd17ff\nt=0034 ADD_EDGE edge_id=e_5206787247d3 source=n_7721619a26fc edge_type=supports target=n_202035ed606a\nt=0035 ADD_EDGE edge_id=e_4e90f1c3c15b source=n_5ceb722b6ee3 edge_type=refutes target=n_ae3d8c32075f\nt=0036 ADD_EDGE edge_id=e_7eca7923bfae source=n_89a0a06c81de edge_type=supports target=n_5ceb722b6ee3\nt=0037 ADD_EDGE edge_id=e_2e10c0337d7f source=n_972894e54af5 edge_type=supports target=n_89a0a06c81de\nt=0038 ADD_EDGE edge_id=e_49c83de0ce4e source=n_89a0a06c81de edge_type=refutes target=n_17aae18bc06d\nt=0039 ADD_EDGE edge_id=e_5fbbb9489a5f source=n_09ccf338745d edge_type=supports target=n_d7b5c319e9d7\nt=0040 ADD_EDGE edge_id=e_75a24453538f source=n_11634a96c0e6 edge_type=refutes target=n_7721619a26fc\nt=0041 ADD_EDGE edge_id=e_732af2de0b96 source=n_e98a1d8e7cc8 edge_type=refutes target=n_3bc1ee96321c\nt=0042 ADD_EDGE edge_id=e_ddee4d9a393e source=n_20d50f5b7d19 edge_type=supports target=n_6508cf26a283\nt=0043 ADD_EDGE edge_id=e_aec1d8bd8b0b source=n_5ceb722b6ee3 edge_type=supports target=n_f59b736e8c47\nt=0044 ADD_EDGE edge_id=e_1a9d60fc27e0 source=n_6508cf26a283 edge_type=refutes target=n_e98a1d8e7cc8\nt=0045 ADD_EDGE edge_id=e_da3ad4c2c238 source=n_8be7bb99fadc edge_type=refutes target=n_53c2972f52c0\nt=0046 ADD_EDGE edge_id=e_ab1b85e5512d source=n_e98a1d8e7cc8 edge_type=refutes target=n_1c54b912f399\nt=0047 ADD_EDGE edge_id=e_3fd61e7fb66b source=n_eeccb80f5ae0 edge_type=refutes target=n_11634a96c0e6\nt=0048 ADD_EDGE edge_id=e_19110102e3b0 source=n_972894e54af5 edge_type=supports target=n_a07592e8f7fc\nt=0049 ADD_EDGE edge_id=e_092ccd2cc148 source=n_5ceb722b6ee3 edge_type=supports target=n_5ce32c396233\nt=0050 ADD_EDGE edge_id=e_5f49954ac816 source=n_8be7bb99fadc edge_type=supports target=n_20d50f5b7d19\nt=0051 QUERY source=n_8be7bb99fadc target=n_202035ed606a\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2448,"provenance":{"base_record_id":"train-d08-024","dataset":"livegraph-deterministic-parity-v3","depth":8,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d08-024","split":"train","variant":"clean"},"record_seed":940677434345958520,"render_sha256":"7daa203f2d317619a90d19656d92a9a1c7f5565f878f8cbaa2ececcad1211dae","representation":"linear_trace","semantic_sha256":"55658f3219b346f7f2838233bd280c6e50e43559a837be4d47f15b8e902f332f"}
{"char_count":4466,"item_id":"train-d08-025::linear_trace","label":"FALSE","lexical_token_proxy_count":764,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_89037f17877e node_type=claim\nt=0001 CREATE_NODE id=n_ec7b4e8d2925 node_type=claim\nt=0002 CREATE_NODE id=n_ccfbad5ebaba node_type=claim\nt=0003 CREATE_NODE id=n_911c26b8791d node_type=claim\nt=0004 CREATE_NODE id=n_aa678e8680b5 node_type=claim\nt=0005 CREATE_NODE id=n_76e7a78f7f52 node_type=claim\nt=0006 CREATE_NODE id=n_34b96d97826a node_type=claim\nt=0007 CREATE_NODE id=n_0637f396d77b node_type=claim\nt=0008 CREATE_NODE id=n_fd06005c525c node_type=claim\nt=0009 CREATE_NODE id=n_0233b1fc1cbc node_type=claim\nt=0010 CREATE_NODE id=n_cf092cfc5c34 node_type=claim\nt=0011 CREATE_NODE id=n_920d27718ecc node_type=claim\nt=0012 CREATE_NODE id=n_7b99ceae6033 node_type=claim\nt=0013 CREATE_NODE id=n_d5529b7c792c node_type=claim\nt=0014 CREATE_NODE id=n_8a0957088deb node_type=claim\nt=0015 CREATE_NODE id=n_47162374db41 node_type=claim\nt=0016 CREATE_NODE id=n_965480585fa8 node_type=claim\nt=0017 CREATE_NODE id=n_067788d3b503 node_type=claim\nt=0018 CREATE_NODE id=n_5d8d4255d5bf node_type=claim\nt=0019 CREATE_NODE id=n_cdd6b8885c21 node_type=claim\nt=0020 CREATE_NODE id=n_6072263385eb node_type=claim\nt=0021 CREATE_NODE id=n_3422655a78b0 node_type=claim\nt=0022 CREATE_NODE id=n_6136bc8441ce node_type=claim\nt=0023 CREATE_NODE id=n_15a4cd0a03da node_type=claim\nt=0024 CREATE_NODE id=n_ddf860f33ecc node_type=claim\nt=0025 CREATE_NODE id=n_3c1f9b3eaac4 node_type=claim\nt=0026 ASSERT_ROOT node=n_8a0957088deb value=TRUE\nt=0027 ADD_EDGE edge_id=e_c84be9ca9d38 source=n_920d27718ecc edge_type=supports target=n_3422655a78b0\nt=0028 ADD_EDGE edge_id=e_e27282838655 source=n_5d8d4255d5bf edge_type=supports target=n_920d27718ecc\nt=0029 ADD_EDGE edge_id=e_951fac555047 source=n_0233b1fc1cbc edge_type=refutes target=n_5d8d4255d5bf\nt=0030 ADD_EDGE edge_id=e_0f34b95c1dce source=n_ec7b4e8d2925 edge_type=supports target=n_89037f17877e\nt=0031 ADD_EDGE edge_id=e_f074ba83fdaa source=n_89037f17877e edge_type=refutes target=n_067788d3b503\nt=0032 ADD_EDGE edge_id=e_0a6f4c706410 source=n_aa678e8680b5 edge_type=supports target=n_6136bc8441ce\nt=0033 ADD_EDGE edge_id=e_7d551ab2895e source=n_5d8d4255d5bf edge_type=refutes target=n_cf092cfc5c34\nt=0034 ADD_EDGE edge_id=e_0f1266899101 source=n_ccfbad5ebaba edge_type=supports target=n_15a4cd0a03da\nt=0035 ADD_EDGE edge_id=e_370af08ace3d source=n_965480585fa8 edge_type=supports target=n_aa678e8680b5\nt=0036 ADD_EDGE edge_id=e_290784b13a76 source=n_0233b1fc1cbc edge_type=refutes target=n_ccfbad5ebaba\nt=0037 ADD_EDGE edge_id=e_3da2d1313645 source=n_0233b1fc1cbc edge_type=supports target=n_911c26b8791d\nt=0038 ADD_EDGE edge_id=e_c4fb670a5321 source=n_cf092cfc5c34 edge_type=refutes target=n_34b96d97826a\nt=0039 ADD_EDGE edge_id=e_e3f419fd90b6 source=n_fd06005c525c edge_type=supports target=n_ec7b4e8d2925\nt=0040 ADD_EDGE edge_id=e_10350847ce88 source=n_aa678e8680b5 edge_type=supports target=n_76e7a78f7f52\nt=0041 ADD_EDGE edge_id=e_5703a95ced7a source=n_ccfbad5ebaba edge_type=refutes target=n_3c1f9b3eaac4\nt=0042 ADD_EDGE edge_id=e_27acbe211646 source=n_8a0957088deb edge_type=supports target=n_fd06005c525c\nt=0043 ADD_EDGE edge_id=e_cc39b507dc53 source=n_5d8d4255d5bf edge_type=refutes target=n_7b99ceae6033\nt=0044 ADD_EDGE edge_id=e_4acf4d120a61 source=n_6072263385eb edge_type=refutes target=n_965480585fa8\nt=0045 ADD_EDGE edge_id=e_ba995800ac78 source=n_965480585fa8 edge_type=refutes target=n_0637f396d77b\nt=0046 ADD_EDGE edge_id=e_d2c1e0d41f0e source=n_7b99ceae6033 edge_type=refutes target=n_47162374db41\nt=0047 ADD_EDGE edge_id=e_1d3a466a3e00 source=n_cdd6b8885c21 edge_type=refutes target=n_6072263385eb\nt=0048 ADD_EDGE edge_id=e_827e9ad01b83 source=n_067788d3b503 edge_type=supports target=n_cdd6b8885c21\nt=0049 ADD_EDGE edge_id=e_0f28ca15cbe8 source=n_ccfbad5ebaba edge_type=supports target=n_d5529b7c792c\nt=0050 ADD_EDGE edge_id=e_5be46fa6185c source=n_fd06005c525c edge_type=refutes target=n_ddf860f33ecc\nt=0051 QUERY source=n_8a0957088deb target=n_aa678e8680b5\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2432,"provenance":{"base_record_id":"train-d08-025","dataset":"livegraph-deterministic-parity-v3","depth":8,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d08-025","split":"train","variant":"clean"},"record_seed":1114905689702192040,"render_sha256":"b3d58c78e6e4c6ae16d4bc464caba7ecf603df12a26d15ca26e58e48e6cedf72","representation":"linear_trace","semantic_sha256":"2799a70057e45c99259cd23aae35990f5fdec6a32df5dc7c82f44dc6e86d1cab"}
{"char_count":4467,"item_id":"train-d08-026::linear_trace","label":"TRUE","lexical_token_proxy_count":764,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_8bf87e0bfccc node_type=claim\nt=0001 CREATE_NODE id=n_c7b92ca84578 node_type=claim\nt=0002 CREATE_NODE id=n_b1e8edf7d3f8 node_type=claim\nt=0003 CREATE_NODE id=n_9efbd88e7bb7 node_type=claim\nt=0004 CREATE_NODE id=n_8179d60a52c1 node_type=claim\nt=0005 CREATE_NODE id=n_5729c8a33226 node_type=claim\nt=0006 CREATE_NODE id=n_b5b28f7ef6d8 node_type=claim\nt=0007 CREATE_NODE id=n_3144d00ea34f node_type=claim\nt=0008 CREATE_NODE id=n_847c99122b72 node_type=claim\nt=0009 CREATE_NODE id=n_e9c247048536 node_type=claim\nt=0010 CREATE_NODE id=n_d5caea78ffc0 node_type=claim\nt=0011 CREATE_NODE id=n_fa2b7063cf84 node_type=claim\nt=0012 CREATE_NODE id=n_c98eaba7a013 node_type=claim\nt=0013 CREATE_NODE id=n_458d608d2895 node_type=claim\nt=0014 CREATE_NODE id=n_90b1805e0e79 node_type=claim\nt=0015 CREATE_NODE id=n_d8ec61241fa3 node_type=claim\nt=0016 CREATE_NODE id=n_835dee63f898 node_type=claim\nt=0017 CREATE_NODE id=n_7bf6b554c348 node_type=claim\nt=0018 CREATE_NODE id=n_f4c7a0de083d node_type=claim\nt=0019 CREATE_NODE id=n_1d4de87b4b24 node_type=claim\nt=0020 CREATE_NODE id=n_9f9314d7378b node_type=claim\nt=0021 CREATE_NODE id=n_667ca7338bcc node_type=claim\nt=0022 CREATE_NODE id=n_f00634ea6e95 node_type=claim\nt=0023 CREATE_NODE id=n_420dc980e4bb node_type=claim\nt=0024 CREATE_NODE id=n_02237cf5f37f node_type=claim\nt=0025 CREATE_NODE id=n_04bb0af50e63 node_type=claim\nt=0026 ASSERT_ROOT node=n_8179d60a52c1 value=FALSE\nt=0027 ADD_EDGE edge_id=e_f0fb78f8ae14 source=n_d8ec61241fa3 edge_type=supports target=n_3144d00ea34f\nt=0028 ADD_EDGE edge_id=e_d87dabba75e5 source=n_b1e8edf7d3f8 edge_type=refutes target=n_b5b28f7ef6d8\nt=0029 ADD_EDGE edge_id=e_c086c7d45222 source=n_9f9314d7378b edge_type=supports target=n_f00634ea6e95\nt=0030 ADD_EDGE edge_id=e_52748e84186d source=n_f4c7a0de083d edge_type=refutes target=n_7bf6b554c348\nt=0031 ADD_EDGE edge_id=e_55cef95f1177 source=n_b5b28f7ef6d8 edge_type=refutes target=n_8bf87e0bfccc\nt=0032 ADD_EDGE edge_id=e_00e73ef5316f source=n_c7b92ca84578 edge_type=refutes target=n_b1e8edf7d3f8\nt=0033 ADD_EDGE edge_id=e_c4b29b0157f7 source=n_9f9314d7378b edge_type=supports target=n_458d608d2895\nt=0034 ADD_EDGE edge_id=e_929ae6c97119 source=n_8179d60a52c1 edge_type=refutes target=n_90b1805e0e79\nt=0035 ADD_EDGE edge_id=e_13e11dd3d237 source=n_d8ec61241fa3 edge_type=supports target=n_c7b92ca84578\nt=0036 ADD_EDGE edge_id=e_c0158eb96220 source=n_8179d60a52c1 edge_type=refutes target=n_835dee63f898\nt=0037 ADD_EDGE edge_id=e_42b46e901ffd source=n_d5caea78ffc0 edge_type=refutes target=n_847c99122b72\nt=0038 ADD_EDGE edge_id=e_96b243d4d57d source=n_c98eaba7a013 edge_type=refutes target=n_5729c8a33226\nt=0039 ADD_EDGE edge_id=e_52f39548a414 source=n_90b1805e0e79 edge_type=supports target=n_9f9314d7378b\nt=0040 ADD_EDGE edge_id=e_c812d1e13b50 source=n_458d608d2895 edge_type=supports target=n_420dc980e4bb\nt=0041 ADD_EDGE edge_id=e_ccca291b4a03 source=n_9efbd88e7bb7 edge_type=refutes target=n_f4c7a0de083d\nt=0042 ADD_EDGE edge_id=e_f998f115a008 source=n_d8ec61241fa3 edge_type=supports target=n_02237cf5f37f\nt=0043 ADD_EDGE edge_id=e_6304845ec564 source=n_5729c8a33226 edge_type=supports target=n_d5caea78ffc0\nt=0044 ADD_EDGE edge_id=e_f2117e3fd7ae source=n_d8ec61241fa3 edge_type=refutes target=n_667ca7338bcc\nt=0045 ADD_EDGE edge_id=e_1b3b1396723b source=n_f4c7a0de083d edge_type=supports target=n_fa2b7063cf84\nt=0046 ADD_EDGE edge_id=e_e8c458aaa0fb source=n_847c99122b72 edge_type=supports target=n_04bb0af50e63\nt=0047 ADD_EDGE edge_id=e_b2f55f098e06 source=n_c7b92ca84578 edge_type=refutes target=n_e9c247048536\nt=0048 ADD_EDGE edge_id=e_fe411a9c6d78 source=n_458d608d2895 edge_type=refutes target=n_1d4de87b4b24\nt=0049 ADD_EDGE edge_id=e_51556b4a6ece source=n_458d608d2895 edge_type=supports target=n_c98eaba7a013\nt=0050 ADD_EDGE edge_id=e_f4628f0bde0b source=n_d8ec61241fa3 edge_type=supports target=n_9efbd88e7bb7\nt=0051 QUERY source=n_8179d60a52c1 target=n_04bb0af50e63\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2458,"provenance":{"base_record_id":"train-d08-026","dataset":"livegraph-deterministic-parity-v3","depth":8,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d08-026","split":"train","variant":"clean"},"record_seed":850386404989197169,"render_sha256":"7a773c11221ae45b827681415f8883aba369247df22081ef747e227affb4bda7","representation":"linear_trace","semantic_sha256":"0619c18f5da4f70b3858cd561dddb8cb8a4248881b33bce0fc60c3c67dcb5e5e"}
{"char_count":4467,"item_id":"train-d08-027::linear_trace","label":"FALSE","lexical_token_proxy_count":764,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_988fa8fc7700 node_type=claim\nt=0001 CREATE_NODE id=n_6ea3998363c2 node_type=claim\nt=0002 CREATE_NODE id=n_d8981fd3b500 node_type=claim\nt=0003 CREATE_NODE id=n_c330acd3a636 node_type=claim\nt=0004 CREATE_NODE id=n_a34625a8808f node_type=claim\nt=0005 CREATE_NODE id=n_b55b4283df40 node_type=claim\nt=0006 CREATE_NODE id=n_4995936aab1d node_type=claim\nt=0007 CREATE_NODE id=n_43ac3115e739 node_type=claim\nt=0008 CREATE_NODE id=n_62ee55c74611 node_type=claim\nt=0009 CREATE_NODE id=n_f8c93137b694 node_type=claim\nt=0010 CREATE_NODE id=n_1833f6d3f09d node_type=claim\nt=0011 CREATE_NODE id=n_ccdeb423aa6e node_type=claim\nt=0012 CREATE_NODE id=n_026db527138d node_type=claim\nt=0013 CREATE_NODE id=n_594a91bf02bd node_type=claim\nt=0014 CREATE_NODE id=n_dfbe688dba4f node_type=claim\nt=0015 CREATE_NODE id=n_4a93939a1b11 node_type=claim\nt=0016 CREATE_NODE id=n_c2eac0d690e4 node_type=claim\nt=0017 CREATE_NODE id=n_46d723fe4131 node_type=claim\nt=0018 CREATE_NODE id=n_585bc4aee5ef node_type=claim\nt=0019 CREATE_NODE id=n_7b162f768914 node_type=claim\nt=0020 CREATE_NODE id=n_057ce1b4892c node_type=claim\nt=0021 CREATE_NODE id=n_f17a0bc1ed56 node_type=claim\nt=0022 CREATE_NODE id=n_64e1d0de9d9b node_type=claim\nt=0023 CREATE_NODE id=n_6c76f7c253aa node_type=claim\nt=0024 CREATE_NODE id=n_7b8805aa16a5 node_type=claim\nt=0025 CREATE_NODE id=n_ca2bb99e59d5 node_type=claim\nt=0026 ASSERT_ROOT node=n_dfbe688dba4f value=FALSE\nt=0027 ADD_EDGE edge_id=e_65dbda1d1c77 source=n_4a93939a1b11 edge_type=supports target=n_ca2bb99e59d5\nt=0028 ADD_EDGE edge_id=e_c96fccfa934b source=n_c2eac0d690e4 edge_type=supports target=n_585bc4aee5ef\nt=0029 ADD_EDGE edge_id=e_210fbdb3ad8c source=n_026db527138d edge_type=refutes target=n_d8981fd3b500\nt=0030 ADD_EDGE edge_id=e_c1849c3ff5ff source=n_43ac3115e739 edge_type=supports target=n_46d723fe4131\nt=0031 ADD_EDGE edge_id=e_58b8518d13e6 source=n_ca2bb99e59d5 edge_type=refutes target=n_1833f6d3f09d\nt=0032 ADD_EDGE edge_id=e_4c4527640505 source=n_f17a0bc1ed56 edge_type=refutes target=n_64e1d0de9d9b\nt=0033 ADD_EDGE edge_id=e_9547666a21f7 source=n_43ac3115e739 edge_type=refutes target=n_594a91bf02bd\nt=0034 ADD_EDGE edge_id=e_b1b7a9c34fb3 source=n_f17a0bc1ed56 edge_type=refutes target=n_b55b4283df40\nt=0035 ADD_EDGE edge_id=e_0ed4e59bc0da source=n_c2eac0d690e4 edge_type=supports target=n_a34625a8808f\nt=0036 ADD_EDGE edge_id=e_4dd9fa3da37a source=n_dfbe688dba4f edge_type=refutes target=n_026db527138d\nt=0037 ADD_EDGE edge_id=e_da5b26451b28 source=n_f17a0bc1ed56 edge_type=supports target=n_c330acd3a636\nt=0038 ADD_EDGE edge_id=e_5d7776c8c40f source=n_585bc4aee5ef edge_type=supports target=n_7b8805aa16a5\nt=0039 ADD_EDGE edge_id=e_112358033b5f source=n_1833f6d3f09d edge_type=supports target=n_6c76f7c253aa\nt=0040 ADD_EDGE edge_id=e_0d00aca5b960 source=n_4995936aab1d edge_type=refutes target=n_4a93939a1b11\nt=0041 ADD_EDGE edge_id=e_1523e6dde102 source=n_dfbe688dba4f edge_type=supports target=n_62ee55c74611\nt=0042 ADD_EDGE edge_id=e_60bc9569792e source=n_988fa8fc7700 edge_type=refutes target=n_4995936aab1d\nt=0043 ADD_EDGE edge_id=e_a8e44144d255 source=n_d8981fd3b500 edge_type=refutes target=n_057ce1b4892c\nt=0044 ADD_EDGE edge_id=e_3aae528080bd source=n_585bc4aee5ef edge_type=refutes target=n_7b162f768914\nt=0045 ADD_EDGE edge_id=e_b959c0e9aed4 source=n_c2eac0d690e4 edge_type=supports target=n_f17a0bc1ed56\nt=0046 ADD_EDGE edge_id=e_f5dcf3b35c2e source=n_988fa8fc7700 edge_type=supports target=n_6ea3998363c2\nt=0047 ADD_EDGE edge_id=e_7642760f4b43 source=n_4a93939a1b11 edge_type=refutes target=n_f8c93137b694\nt=0048 ADD_EDGE edge_id=e_71bec33ef559 source=n_7b162f768914 edge_type=refutes target=n_ccdeb423aa6e\nt=0049 ADD_EDGE edge_id=e_e6ad95ca71f4 source=n_7b8805aa16a5 edge_type=supports target=n_43ac3115e739\nt=0050 ADD_EDGE edge_id=e_a652a82c708f source=n_057ce1b4892c edge_type=supports target=n_988fa8fc7700\nt=0051 QUERY source=n_dfbe688dba4f target=n_1833f6d3f09d\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2440,"provenance":{"base_record_id":"train-d08-027","dataset":"livegraph-deterministic-parity-v3","depth":8,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d08-027","split":"train","variant":"clean"},"record_seed":861523657890922370,"render_sha256":"3e1ab3b19cfb6519201f010bbd7f4e6fc480fe316d34ad16c83b51691220ae17","representation":"linear_trace","semantic_sha256":"f32fb0ed520a4195c8d29cbd3880da2d7b28715a9b792deb11c07a15ea1f33bb"}
{"char_count":4466,"item_id":"train-d08-028::linear_trace","label":"TRUE","lexical_token_proxy_count":764,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_bce7b4eb1c18 node_type=claim\nt=0001 CREATE_NODE id=n_3240b3a4b04b node_type=claim\nt=0002 CREATE_NODE id=n_008ab10daa7c node_type=claim\nt=0003 CREATE_NODE id=n_b478094a3089 node_type=claim\nt=0004 CREATE_NODE id=n_b776c8922f74 node_type=claim\nt=0005 CREATE_NODE id=n_3b769e861c30 node_type=claim\nt=0006 CREATE_NODE id=n_e2fcf1cb44c6 node_type=claim\nt=0007 CREATE_NODE id=n_f1d0595fb015 node_type=claim\nt=0008 CREATE_NODE id=n_b6a1fec1c86d node_type=claim\nt=0009 CREATE_NODE id=n_62899b64bfca node_type=claim\nt=0010 CREATE_NODE id=n_fec87a3d39f4 node_type=claim\nt=0011 CREATE_NODE id=n_6095dc0cbfad node_type=claim\nt=0012 CREATE_NODE id=n_3d89d6a930a5 node_type=claim\nt=0013 CREATE_NODE id=n_af15a137ff91 node_type=claim\nt=0014 CREATE_NODE id=n_c31569fd1adf node_type=claim\nt=0015 CREATE_NODE id=n_2c6a95ff39e1 node_type=claim\nt=0016 CREATE_NODE id=n_ee4e480a4ee1 node_type=claim\nt=0017 CREATE_NODE id=n_9569d49d492e node_type=claim\nt=0018 CREATE_NODE id=n_3ffdf16ac9f6 node_type=claim\nt=0019 CREATE_NODE id=n_8015a6401f7f node_type=claim\nt=0020 CREATE_NODE id=n_c363228f7aa3 node_type=claim\nt=0021 CREATE_NODE id=n_6ffdcbc6dc9e node_type=claim\nt=0022 CREATE_NODE id=n_f76e1be7d904 node_type=claim\nt=0023 CREATE_NODE id=n_ff8285667a1a node_type=claim\nt=0024 CREATE_NODE id=n_a2837db5d272 node_type=claim\nt=0025 CREATE_NODE id=n_99a36c472006 node_type=claim\nt=0026 ASSERT_ROOT node=n_b776c8922f74 value=TRUE\nt=0027 ADD_EDGE edge_id=e_02ba142b4fa6 source=n_a2837db5d272 edge_type=supports target=n_c31569fd1adf\nt=0028 ADD_EDGE edge_id=e_14343f91861a source=n_b478094a3089 edge_type=supports target=n_ff8285667a1a\nt=0029 ADD_EDGE edge_id=e_0aff1bb83671 source=n_bce7b4eb1c18 edge_type=refutes target=n_3d89d6a930a5\nt=0030 ADD_EDGE edge_id=e_5321b325e0a1 source=n_2c6a95ff39e1 edge_type=supports target=n_6095dc0cbfad\nt=0031 ADD_EDGE edge_id=e_30fb427fafca source=n_b6a1fec1c86d edge_type=supports target=n_3ffdf16ac9f6\nt=0032 ADD_EDGE edge_id=e_df774c861ee5 source=n_a2837db5d272 edge_type=refutes target=n_e2fcf1cb44c6\nt=0033 ADD_EDGE edge_id=e_18d8006584b1 source=n_8015a6401f7f edge_type=refutes target=n_2c6a95ff39e1\nt=0034 ADD_EDGE edge_id=e_1ae232eed9f0 source=n_e2fcf1cb44c6 edge_type=supports target=n_9569d49d492e\nt=0035 ADD_EDGE edge_id=e_66482ca21e63 source=n_008ab10daa7c edge_type=supports target=n_a2837db5d272\nt=0036 ADD_EDGE edge_id=e_1d5b5ecba4c3 source=n_62899b64bfca edge_type=refutes target=n_ee4e480a4ee1\nt=0037 ADD_EDGE edge_id=e_ea261176c6ec source=n_b776c8922f74 edge_type=refutes target=n_008ab10daa7c\nt=0038 ADD_EDGE edge_id=e_f5bf810515bf source=n_9569d49d492e edge_type=refutes target=n_99a36c472006\nt=0039 ADD_EDGE edge_id=e_50f5666c8ca8 source=n_8015a6401f7f edge_type=supports target=n_3b769e861c30\nt=0040 ADD_EDGE edge_id=e_01e2189ef0c4 source=n_e2fcf1cb44c6 edge_type=supports target=n_fec87a3d39f4\nt=0041 ADD_EDGE edge_id=e_52050f7d3237 source=n_99a36c472006 edge_type=supports target=n_62899b64bfca\nt=0042 ADD_EDGE edge_id=e_b70b813937bb source=n_bce7b4eb1c18 edge_type=refutes target=n_f76e1be7d904\nt=0043 ADD_EDGE edge_id=e_cb8bdbefa2f0 source=n_b478094a3089 edge_type=supports target=n_f1d0595fb015\nt=0044 ADD_EDGE edge_id=e_c6af86d41a76 source=n_62899b64bfca edge_type=refutes target=n_b6a1fec1c86d\nt=0045 ADD_EDGE edge_id=e_e600949b3c7d source=n_b6a1fec1c86d edge_type=supports target=n_6ffdcbc6dc9e\nt=0046 ADD_EDGE edge_id=e_87dc92e07747 source=n_3d89d6a930a5 edge_type=refutes target=n_b478094a3089\nt=0047 ADD_EDGE edge_id=e_92b43af4da64 source=n_bce7b4eb1c18 edge_type=supports target=n_8015a6401f7f\nt=0048 ADD_EDGE edge_id=e_cb42041a23d5 source=n_f76e1be7d904 edge_type=refutes target=n_af15a137ff91\nt=0049 ADD_EDGE edge_id=e_7bef7d6c736c source=n_bce7b4eb1c18 edge_type=refutes target=n_c363228f7aa3\nt=0050 ADD_EDGE edge_id=e_c48c61259c31 source=n_f76e1be7d904 edge_type=refutes target=n_3240b3a4b04b\nt=0051 QUERY source=n_b776c8922f74 target=n_3ffdf16ac9f6\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2447,"provenance":{"base_record_id":"train-d08-028","dataset":"livegraph-deterministic-parity-v3","depth":8,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d08-028","split":"train","variant":"clean"},"record_seed":408630067161109900,"render_sha256":"bc35546898f9ea1ed9a27b6004aa008c4f94826e83bd9b66d6e00d9fd550482b","representation":"linear_trace","semantic_sha256":"8aed24a1f09333188ead46a62190ae7c29f9d0e84eb5c5bcecb0d8dfca6ea879"}
{"char_count":4466,"item_id":"train-d08-029::linear_trace","label":"FALSE","lexical_token_proxy_count":764,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_d7cf91099fc0 node_type=claim\nt=0001 CREATE_NODE id=n_ad0fd0367f88 node_type=claim\nt=0002 CREATE_NODE id=n_f4620fa18e02 node_type=claim\nt=0003 CREATE_NODE id=n_68b402f3a86e node_type=claim\nt=0004 CREATE_NODE id=n_054040120e90 node_type=claim\nt=0005 CREATE_NODE id=n_c1b1c00bcae0 node_type=claim\nt=0006 CREATE_NODE id=n_08239e60e4e9 node_type=claim\nt=0007 CREATE_NODE id=n_8e7c4852095f node_type=claim\nt=0008 CREATE_NODE id=n_19ade38a17e0 node_type=claim\nt=0009 CREATE_NODE id=n_9b21c8a8562e node_type=claim\nt=0010 CREATE_NODE id=n_a3a7c8161d23 node_type=claim\nt=0011 CREATE_NODE id=n_6b3e8d01eb4a node_type=claim\nt=0012 CREATE_NODE id=n_05e0c18b7911 node_type=claim\nt=0013 CREATE_NODE id=n_8fabf4f61b00 node_type=claim\nt=0014 CREATE_NODE id=n_8ee39220d6d0 node_type=claim\nt=0015 CREATE_NODE id=n_49bd7814406b node_type=claim\nt=0016 CREATE_NODE id=n_6036f1e44ac1 node_type=claim\nt=0017 CREATE_NODE id=n_eccb2b416cfc node_type=claim\nt=0018 CREATE_NODE id=n_ab6da3614beb node_type=claim\nt=0019 CREATE_NODE id=n_802fee2a411a node_type=claim\nt=0020 CREATE_NODE id=n_f056d58956ae node_type=claim\nt=0021 CREATE_NODE id=n_7acc38b1e5a5 node_type=claim\nt=0022 CREATE_NODE id=n_a3afbbc3aae7 node_type=claim\nt=0023 CREATE_NODE id=n_16007ca2843f node_type=claim\nt=0024 CREATE_NODE id=n_28bfa9f5d936 node_type=claim\nt=0025 CREATE_NODE id=n_37621ca120ad node_type=claim\nt=0026 ASSERT_ROOT node=n_f4620fa18e02 value=TRUE\nt=0027 ADD_EDGE edge_id=e_a59b94d768e6 source=n_f056d58956ae edge_type=refutes target=n_802fee2a411a\nt=0028 ADD_EDGE edge_id=e_eaf65e0f380e source=n_7acc38b1e5a5 edge_type=refutes target=n_68b402f3a86e\nt=0029 ADD_EDGE edge_id=e_935759b9ff72 source=n_68b402f3a86e edge_type=refutes target=n_08239e60e4e9\nt=0030 ADD_EDGE edge_id=e_57cc91edb29d source=n_d7cf91099fc0 edge_type=refutes target=n_c1b1c00bcae0\nt=0031 ADD_EDGE edge_id=e_6f2d3f8289f4 source=n_9b21c8a8562e edge_type=refutes target=n_8ee39220d6d0\nt=0032 ADD_EDGE edge_id=e_f5b98e22b4ff source=n_6b3e8d01eb4a edge_type=supports target=n_49bd7814406b\nt=0033 ADD_EDGE edge_id=e_fc91321ba23b source=n_7acc38b1e5a5 edge_type=supports target=n_9b21c8a8562e\nt=0034 ADD_EDGE edge_id=e_ff1e8e3bf3af source=n_19ade38a17e0 edge_type=supports target=n_ab6da3614beb\nt=0035 ADD_EDGE edge_id=e_0eb0baddf31e source=n_8e7c4852095f edge_type=refutes target=n_a3afbbc3aae7\nt=0036 ADD_EDGE edge_id=e_15226ae2542c source=n_eccb2b416cfc edge_type=supports target=n_37621ca120ad\nt=0037 ADD_EDGE edge_id=e_d5121516ba70 source=n_28bfa9f5d936 edge_type=supports target=n_05e0c18b7911\nt=0038 ADD_EDGE edge_id=e_b7f09e1cfb1f source=n_802fee2a411a edge_type=refutes target=n_eccb2b416cfc\nt=0039 ADD_EDGE edge_id=e_d7e51921dc0d source=n_16007ca2843f edge_type=refutes target=n_8fabf4f61b00\nt=0040 ADD_EDGE edge_id=e_29ca9e7e13f1 source=n_802fee2a411a edge_type=refutes target=n_6036f1e44ac1\nt=0041 ADD_EDGE edge_id=e_5ad90161cba8 source=n_37621ca120ad edge_type=supports target=n_19ade38a17e0\nt=0042 ADD_EDGE edge_id=e_b2bd51a480b5 source=n_68b402f3a86e edge_type=refutes target=n_6b3e8d01eb4a\nt=0043 ADD_EDGE edge_id=e_b4a36f3b50e3 source=n_8e7c4852095f edge_type=supports target=n_ad0fd0367f88\nt=0044 ADD_EDGE edge_id=e_94891815c0cd source=n_7acc38b1e5a5 edge_type=supports target=n_d7cf91099fc0\nt=0045 ADD_EDGE edge_id=e_137f8f028760 source=n_7acc38b1e5a5 edge_type=refutes target=n_28bfa9f5d936\nt=0046 ADD_EDGE edge_id=e_e1c18b5e8496 source=n_9b21c8a8562e edge_type=refutes target=n_054040120e90\nt=0047 ADD_EDGE edge_id=e_442435387aeb source=n_19ade38a17e0 edge_type=supports target=n_16007ca2843f\nt=0048 ADD_EDGE edge_id=e_a411112a98ba source=n_f4620fa18e02 edge_type=supports target=n_8e7c4852095f\nt=0049 ADD_EDGE edge_id=e_13e95887df02 source=n_8e7c4852095f edge_type=supports target=n_f056d58956ae\nt=0050 ADD_EDGE edge_id=e_9bbd61ef7ee1 source=n_054040120e90 edge_type=supports target=n_a3a7c8161d23\nt=0051 QUERY source=n_f4620fa18e02 target=n_8fabf4f61b00\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2453,"provenance":{"base_record_id":"train-d08-029","dataset":"livegraph-deterministic-parity-v3","depth":8,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d08-029","split":"train","variant":"clean"},"record_seed":891356794929972456,"render_sha256":"61fa11a8ae3f21ad0b08821ccb9b21869c6c4cb5de6ade7249bb860f69ba4191","representation":"linear_trace","semantic_sha256":"734a58b74442d6a528b39f71bf960c645653e90e9665862a6a541d7835f86819"}
{"char_count":4467,"item_id":"train-d08-030::linear_trace","label":"TRUE","lexical_token_proxy_count":764,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_5c49c97ff436 node_type=claim\nt=0001 CREATE_NODE id=n_999416c7ba98 node_type=claim\nt=0002 CREATE_NODE id=n_93c0a4b28322 node_type=claim\nt=0003 CREATE_NODE id=n_e6cdc358f589 node_type=claim\nt=0004 CREATE_NODE id=n_3375ccd3d71c node_type=claim\nt=0005 CREATE_NODE id=n_e6f770998274 node_type=claim\nt=0006 CREATE_NODE id=n_158b2ddf74bc node_type=claim\nt=0007 CREATE_NODE id=n_7f3807f846c1 node_type=claim\nt=0008 CREATE_NODE id=n_36218cd43a69 node_type=claim\nt=0009 CREATE_NODE id=n_5a3330ff013a node_type=claim\nt=0010 CREATE_NODE id=n_4be2ba7788f1 node_type=claim\nt=0011 CREATE_NODE id=n_ca75cd6424d4 node_type=claim\nt=0012 CREATE_NODE id=n_1c3562664e45 node_type=claim\nt=0013 CREATE_NODE id=n_6d04037fb2cf node_type=claim\nt=0014 CREATE_NODE id=n_52c6acbb5c07 node_type=claim\nt=0015 CREATE_NODE id=n_df19c4eb812a node_type=claim\nt=0016 CREATE_NODE id=n_e1318d7ea205 node_type=claim\nt=0017 CREATE_NODE id=n_c11c505b4dba node_type=claim\nt=0018 CREATE_NODE id=n_3592f46b2c91 node_type=claim\nt=0019 CREATE_NODE id=n_6e70f2dac43e node_type=claim\nt=0020 CREATE_NODE id=n_bcacf43f389a node_type=claim\nt=0021 CREATE_NODE id=n_22f11a0d5a8e node_type=claim\nt=0022 CREATE_NODE id=n_f9cce031486c node_type=claim\nt=0023 CREATE_NODE id=n_359f8b677653 node_type=claim\nt=0024 CREATE_NODE id=n_b0cf8a8d0437 node_type=claim\nt=0025 CREATE_NODE id=n_ff708b9a6c74 node_type=claim\nt=0026 ASSERT_ROOT node=n_999416c7ba98 value=FALSE\nt=0027 ADD_EDGE edge_id=e_2574ea51ad3d source=n_52c6acbb5c07 edge_type=refutes target=n_f9cce031486c\nt=0028 ADD_EDGE edge_id=e_ef654f42c837 source=n_6e70f2dac43e edge_type=refutes target=n_3375ccd3d71c\nt=0029 ADD_EDGE edge_id=e_816921110ac1 source=n_22f11a0d5a8e edge_type=supports target=n_3592f46b2c91\nt=0030 ADD_EDGE edge_id=e_1639ddc76524 source=n_4be2ba7788f1 edge_type=refutes target=n_6d04037fb2cf\nt=0031 ADD_EDGE edge_id=e_7492ae51e219 source=n_999416c7ba98 edge_type=refutes target=n_5c49c97ff436\nt=0032 ADD_EDGE edge_id=e_6764414c6aaa source=n_999416c7ba98 edge_type=refutes target=n_c11c505b4dba\nt=0033 ADD_EDGE edge_id=e_d4bfe9907da8 source=n_4be2ba7788f1 edge_type=supports target=n_e6cdc358f589\nt=0034 ADD_EDGE edge_id=e_98c99f3221d4 source=n_5a3330ff013a edge_type=supports target=n_36218cd43a69\nt=0035 ADD_EDGE edge_id=e_ce69b9b2d535 source=n_1c3562664e45 edge_type=supports target=n_7f3807f846c1\nt=0036 ADD_EDGE edge_id=e_fc7126c1583b source=n_ff708b9a6c74 edge_type=supports target=n_22f11a0d5a8e\nt=0037 ADD_EDGE edge_id=e_e3df8cb578b1 source=n_ff708b9a6c74 edge_type=refutes target=n_bcacf43f389a\nt=0038 ADD_EDGE edge_id=e_a0af58c1d851 source=n_f9cce031486c edge_type=supports target=n_1c3562664e45\nt=0039 ADD_EDGE edge_id=e_147413d0195b source=n_6e70f2dac43e edge_type=refutes target=n_e1318d7ea205\nt=0040 ADD_EDGE edge_id=e_9bcb29d6e5cf source=n_22f11a0d5a8e edge_type=supports target=n_ca75cd6424d4\nt=0041 ADD_EDGE edge_id=e_d8fc8c79324f source=n_5c49c97ff436 edge_type=refutes target=n_df19c4eb812a\nt=0042 ADD_EDGE edge_id=e_7758c711ebd0 source=n_6e70f2dac43e edge_type=supports target=n_359f8b677653\nt=0043 ADD_EDGE edge_id=e_a812d6308be6 source=n_ff708b9a6c74 edge_type=supports target=n_5a3330ff013a\nt=0044 ADD_EDGE edge_id=e_2f1ef4596866 source=n_7f3807f846c1 edge_type=supports target=n_6e70f2dac43e\nt=0045 ADD_EDGE edge_id=e_3f92a9e095d9 source=n_ff708b9a6c74 edge_type=supports target=n_93c0a4b28322\nt=0046 ADD_EDGE edge_id=e_b1602c278992 source=n_22f11a0d5a8e edge_type=refutes target=n_4be2ba7788f1\nt=0047 ADD_EDGE edge_id=e_0cad2f2f8790 source=n_bcacf43f389a edge_type=supports target=n_e6f770998274\nt=0048 ADD_EDGE edge_id=e_a80d9309bfa1 source=n_bcacf43f389a edge_type=refutes target=n_158b2ddf74bc\nt=0049 ADD_EDGE edge_id=e_0fa1d3dee9b3 source=n_b0cf8a8d0437 edge_type=refutes target=n_52c6acbb5c07\nt=0050 ADD_EDGE edge_id=e_c657dea508b3 source=n_5c49c97ff436 edge_type=refutes target=n_b0cf8a8d0437\nt=0051 QUERY source=n_999416c7ba98 target=n_3375ccd3d71c\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2454,"provenance":{"base_record_id":"train-d08-030","dataset":"livegraph-deterministic-parity-v3","depth":8,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d08-030","split":"train","variant":"clean"},"record_seed":817195367495410073,"render_sha256":"53b3ca2430c5a7f461b2261d3a3a8350ec8cbe0578adf5dd29505792c0fd6e36","representation":"linear_trace","semantic_sha256":"7268edec1314f7fd1b87f2b3d9a019d91c47cb336ec621ef0de4d9c8a03a8fd0"}
{"char_count":4467,"item_id":"train-d08-031::linear_trace","label":"FALSE","lexical_token_proxy_count":764,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_3a9bc9eea843 node_type=claim\nt=0001 CREATE_NODE id=n_3cab12559d50 node_type=claim\nt=0002 CREATE_NODE id=n_93f8d7523a3e node_type=claim\nt=0003 CREATE_NODE id=n_93e6150552c2 node_type=claim\nt=0004 CREATE_NODE id=n_32cb7d7a5d61 node_type=claim\nt=0005 CREATE_NODE id=n_bce95099c707 node_type=claim\nt=0006 CREATE_NODE id=n_756b99625730 node_type=claim\nt=0007 CREATE_NODE id=n_dc7b279f14e7 node_type=claim\nt=0008 CREATE_NODE id=n_77454d81b11f node_type=claim\nt=0009 CREATE_NODE id=n_6bb5ad818600 node_type=claim\nt=0010 CREATE_NODE id=n_ad7923672655 node_type=claim\nt=0011 CREATE_NODE id=n_4c6e6f5dfaba node_type=claim\nt=0012 CREATE_NODE id=n_aeb83d17d5fa node_type=claim\nt=0013 CREATE_NODE id=n_8ff606d8b7e7 node_type=claim\nt=0014 CREATE_NODE id=n_983b0ce8a710 node_type=claim\nt=0015 CREATE_NODE id=n_97bfe4e2c137 node_type=claim\nt=0016 CREATE_NODE id=n_7d331b38f73f node_type=claim\nt=0017 CREATE_NODE id=n_ac5a82b5d9d5 node_type=claim\nt=0018 CREATE_NODE id=n_e441529a46d3 node_type=claim\nt=0019 CREATE_NODE id=n_73de3a6f98c7 node_type=claim\nt=0020 CREATE_NODE id=n_382d9b035837 node_type=claim\nt=0021 CREATE_NODE id=n_fb27811492ed node_type=claim\nt=0022 CREATE_NODE id=n_5a27deca13f0 node_type=claim\nt=0023 CREATE_NODE id=n_3bbbda38efcf node_type=claim\nt=0024 CREATE_NODE id=n_50c27b9c4566 node_type=claim\nt=0025 CREATE_NODE id=n_03ca30b2fe7b node_type=claim\nt=0026 ASSERT_ROOT node=n_8ff606d8b7e7 value=FALSE\nt=0027 ADD_EDGE edge_id=e_083472ad83ca source=n_6bb5ad818600 edge_type=supports target=n_3cab12559d50\nt=0028 ADD_EDGE edge_id=e_7169b8b5de9d source=n_93f8d7523a3e edge_type=refutes target=n_32cb7d7a5d61\nt=0029 ADD_EDGE edge_id=e_139a69c3f4ff source=n_dc7b279f14e7 edge_type=refutes target=n_4c6e6f5dfaba\nt=0030 ADD_EDGE edge_id=e_8526c045a3b8 source=n_fb27811492ed edge_type=refutes target=n_bce95099c707\nt=0031 ADD_EDGE edge_id=e_42e54d700c36 source=n_5a27deca13f0 edge_type=supports target=n_93e6150552c2\nt=0032 ADD_EDGE edge_id=e_7a0f65ff1511 source=n_3a9bc9eea843 edge_type=refutes target=n_3bbbda38efcf\nt=0033 ADD_EDGE edge_id=e_218df8c98dd2 source=n_ad7923672655 edge_type=supports target=n_97bfe4e2c137\nt=0034 ADD_EDGE edge_id=e_d2654e841eb2 source=n_93f8d7523a3e edge_type=supports target=n_aeb83d17d5fa\nt=0035 ADD_EDGE edge_id=e_e4b0a09245c0 source=n_bce95099c707 edge_type=supports target=n_73de3a6f98c7\nt=0036 ADD_EDGE edge_id=e_9033fa1a9a33 source=n_983b0ce8a710 edge_type=supports target=n_5a27deca13f0\nt=0037 ADD_EDGE edge_id=e_46645630ad00 source=n_756b99625730 edge_type=supports target=n_03ca30b2fe7b\nt=0038 ADD_EDGE edge_id=e_2f66099c1a6a source=n_983b0ce8a710 edge_type=refutes target=n_6bb5ad818600\nt=0039 ADD_EDGE edge_id=e_f4a0575d1a04 source=n_6bb5ad818600 edge_type=refutes target=n_382d9b035837\nt=0040 ADD_EDGE edge_id=e_7cbde6bcac3b source=n_983b0ce8a710 edge_type=supports target=n_756b99625730\nt=0041 ADD_EDGE edge_id=e_dd036bd04450 source=n_8ff606d8b7e7 edge_type=supports target=n_ad7923672655\nt=0042 ADD_EDGE edge_id=e_4ce0328b4ebe source=n_aeb83d17d5fa edge_type=refutes target=n_77454d81b11f\nt=0043 ADD_EDGE edge_id=e_42da62fcdf4a source=n_983b0ce8a710 edge_type=refutes target=n_3a9bc9eea843\nt=0044 ADD_EDGE edge_id=e_ea547d6d5fbe source=n_97bfe4e2c137 edge_type=supports target=n_93f8d7523a3e\nt=0045 ADD_EDGE edge_id=e_d5b14d69787d source=n_93e6150552c2 edge_type=refutes target=n_ac5a82b5d9d5\nt=0046 ADD_EDGE edge_id=e_f1ff6a89f4db source=n_93e6150552c2 edge_type=refutes target=n_7d331b38f73f\nt=0047 ADD_EDGE edge_id=e_fdb2b0311c2e source=n_aeb83d17d5fa edge_type=supports target=n_dc7b279f14e7\nt=0048 ADD_EDGE edge_id=e_aa952be5923b source=n_97bfe4e2c137 edge_type=supports target=n_e441529a46d3\nt=0049 ADD_EDGE edge_id=e_ed69f3d991d2 source=n_dc7b279f14e7 edge_type=refutes target=n_fb27811492ed\nt=0050 ADD_EDGE edge_id=e_bba194c22efc source=n_756b99625730 edge_type=refutes target=n_50c27b9c4566\nt=0051 QUERY source=n_8ff606d8b7e7 target=n_73de3a6f98c7\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2455,"provenance":{"base_record_id":"train-d08-031","dataset":"livegraph-deterministic-parity-v3","depth":8,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d08-031","split":"train","variant":"clean"},"record_seed":484439311623621210,"render_sha256":"d704a6cbeb5c1837978ecddeef972ce2bd44d220416500b0c102511a8be22d5d","representation":"linear_trace","semantic_sha256":"04245afff47ed3698502dc83449c211c407dd3977e3059a44f44c557009cd7c8"}
{"char_count":4466,"item_id":"train-d08-032::linear_trace","label":"TRUE","lexical_token_proxy_count":764,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_cf65b9caaee9 node_type=claim\nt=0001 CREATE_NODE id=n_7c9d137d99b8 node_type=claim\nt=0002 CREATE_NODE id=n_9b454e456817 node_type=claim\nt=0003 CREATE_NODE id=n_4b874a4108e5 node_type=claim\nt=0004 CREATE_NODE id=n_6244bde92efd node_type=claim\nt=0005 CREATE_NODE id=n_b74ff359282f node_type=claim\nt=0006 CREATE_NODE id=n_39b5c33efa70 node_type=claim\nt=0007 CREATE_NODE id=n_890bf4190aa0 node_type=claim\nt=0008 CREATE_NODE id=n_3672b7b78433 node_type=claim\nt=0009 CREATE_NODE id=n_8260d277622d node_type=claim\nt=0010 CREATE_NODE id=n_73a6d289c44a node_type=claim\nt=0011 CREATE_NODE id=n_94f7922c5c62 node_type=claim\nt=0012 CREATE_NODE id=n_c83f5f3ff575 node_type=claim\nt=0013 CREATE_NODE id=n_84712c367397 node_type=claim\nt=0014 CREATE_NODE id=n_1d0dffcc6b73 node_type=claim\nt=0015 CREATE_NODE id=n_bd6c8bd45bf9 node_type=claim\nt=0016 CREATE_NODE id=n_2a759488519a node_type=claim\nt=0017 CREATE_NODE id=n_e33bccb2e22b node_type=claim\nt=0018 CREATE_NODE id=n_de89331b17f9 node_type=claim\nt=0019 CREATE_NODE id=n_7cce3cd82cf8 node_type=claim\nt=0020 CREATE_NODE id=n_0ee68346b8ae node_type=claim\nt=0021 CREATE_NODE id=n_61ea55b879da node_type=claim\nt=0022 CREATE_NODE id=n_646a3a30f89c node_type=claim\nt=0023 CREATE_NODE id=n_30db364d86ae node_type=claim\nt=0024 CREATE_NODE id=n_5db9efa555da node_type=claim\nt=0025 CREATE_NODE id=n_d45ded9d9fa8 node_type=claim\nt=0026 ASSERT_ROOT node=n_3672b7b78433 value=TRUE\nt=0027 ADD_EDGE edge_id=e_0e257a597d76 source=n_c83f5f3ff575 edge_type=refutes target=n_bd6c8bd45bf9\nt=0028 ADD_EDGE edge_id=e_4f6150f5e22d source=n_d45ded9d9fa8 edge_type=supports target=n_94f7922c5c62\nt=0029 ADD_EDGE edge_id=e_84312298170f source=n_73a6d289c44a edge_type=refutes target=n_9b454e456817\nt=0030 ADD_EDGE edge_id=e_f6e21f522475 source=n_c83f5f3ff575 edge_type=refutes target=n_6244bde92efd\nt=0031 ADD_EDGE edge_id=e_b3c3bd3b5027 source=n_8260d277622d edge_type=supports target=n_de89331b17f9\nt=0032 ADD_EDGE edge_id=e_ed65b8a9ea3a source=n_0ee68346b8ae edge_type=supports target=n_84712c367397\nt=0033 ADD_EDGE edge_id=e_a86c9794f6a3 source=n_d45ded9d9fa8 edge_type=supports target=n_0ee68346b8ae\nt=0034 ADD_EDGE edge_id=e_b2041cf25528 source=n_30db364d86ae edge_type=refutes target=n_e33bccb2e22b\nt=0035 ADD_EDGE edge_id=e_aececf0da02b source=n_6244bde92efd edge_type=supports target=n_cf65b9caaee9\nt=0036 ADD_EDGE edge_id=e_8b6bdc3b1170 source=n_890bf4190aa0 edge_type=supports target=n_d45ded9d9fa8\nt=0037 ADD_EDGE edge_id=e_4d7e6a1ddfee source=n_73a6d289c44a edge_type=supports target=n_4b874a4108e5\nt=0038 ADD_EDGE edge_id=e_bace887b25a9 source=n_890bf4190aa0 edge_type=supports target=n_30db364d86ae\nt=0039 ADD_EDGE edge_id=e_c94f8ef4b9a0 source=n_6244bde92efd edge_type=refutes target=n_73a6d289c44a\nt=0040 ADD_EDGE edge_id=e_1e932fdce29b source=n_84712c367397 edge_type=supports target=n_b74ff359282f\nt=0041 ADD_EDGE edge_id=e_0fe1949af9bd source=n_e33bccb2e22b edge_type=supports target=n_2a759488519a\nt=0042 ADD_EDGE edge_id=e_da4e13bb3c64 source=n_646a3a30f89c edge_type=refutes target=n_c83f5f3ff575\nt=0043 ADD_EDGE edge_id=e_ec54c0023ed2 source=n_de89331b17f9 edge_type=supports target=n_646a3a30f89c\nt=0044 ADD_EDGE edge_id=e_336639255b72 source=n_0ee68346b8ae edge_type=refutes target=n_39b5c33efa70\nt=0045 ADD_EDGE edge_id=e_7dc86bdfa0e4 source=n_61ea55b879da edge_type=refutes target=n_8260d277622d\nt=0046 ADD_EDGE edge_id=e_81f41a919b71 source=n_39b5c33efa70 edge_type=refutes target=n_1d0dffcc6b73\nt=0047 ADD_EDGE edge_id=e_089a23f8cc9b source=n_c83f5f3ff575 edge_type=supports target=n_7c9d137d99b8\nt=0048 ADD_EDGE edge_id=e_3999f0d82a95 source=n_e33bccb2e22b edge_type=refutes target=n_5db9efa555da\nt=0049 ADD_EDGE edge_id=e_40c12af4c7c6 source=n_5db9efa555da edge_type=refutes target=n_7cce3cd82cf8\nt=0050 ADD_EDGE edge_id=e_e55a1332768c source=n_3672b7b78433 edge_type=refutes target=n_61ea55b879da\nt=0051 QUERY source=n_3672b7b78433 target=n_9b454e456817\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2444,"provenance":{"base_record_id":"train-d08-032","dataset":"livegraph-deterministic-parity-v3","depth":8,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d08-032","split":"train","variant":"clean"},"record_seed":621128072900948608,"render_sha256":"3466ebd8cddb33dec9c00c07892813287af2ec9909ecdc91ffb42c080459c0a4","representation":"linear_trace","semantic_sha256":"62fef7ccf1ff89dd276944d66a8beff856b0a6f953cda91fc9d39627cbd89305"}
{"char_count":4466,"item_id":"train-d08-033::linear_trace","label":"FALSE","lexical_token_proxy_count":764,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_8eb41741020e node_type=claim\nt=0001 CREATE_NODE id=n_915d29df1cf9 node_type=claim\nt=0002 CREATE_NODE id=n_436b0fb35b87 node_type=claim\nt=0003 CREATE_NODE id=n_0a7b386b121e node_type=claim\nt=0004 CREATE_NODE id=n_6864c9140b27 node_type=claim\nt=0005 CREATE_NODE id=n_1ac6812b73eb node_type=claim\nt=0006 CREATE_NODE id=n_391cc9efd315 node_type=claim\nt=0007 CREATE_NODE id=n_b48d06365204 node_type=claim\nt=0008 CREATE_NODE id=n_b09218946f6c node_type=claim\nt=0009 CREATE_NODE id=n_3d4680af4859 node_type=claim\nt=0010 CREATE_NODE id=n_02ed07a479d9 node_type=claim\nt=0011 CREATE_NODE id=n_dcf24bbaca11 node_type=claim\nt=0012 CREATE_NODE id=n_72572e92a6d3 node_type=claim\nt=0013 CREATE_NODE id=n_5dd7b1aeafc7 node_type=claim\nt=0014 CREATE_NODE id=n_1c707929de6e node_type=claim\nt=0015 CREATE_NODE id=n_ad93f00f3202 node_type=claim\nt=0016 CREATE_NODE id=n_752a2b650abe node_type=claim\nt=0017 CREATE_NODE id=n_fff127c9c67a node_type=claim\nt=0018 CREATE_NODE id=n_30a2a4792ce9 node_type=claim\nt=0019 CREATE_NODE id=n_7a56f4dae674 node_type=claim\nt=0020 CREATE_NODE id=n_924bd087ff9a node_type=claim\nt=0021 CREATE_NODE id=n_54800b3a1c30 node_type=claim\nt=0022 CREATE_NODE id=n_7e393d69d5a7 node_type=claim\nt=0023 CREATE_NODE id=n_679d0627d0c8 node_type=claim\nt=0024 CREATE_NODE id=n_5cb4fd870877 node_type=claim\nt=0025 CREATE_NODE id=n_0c2b33d7ce94 node_type=claim\nt=0026 ASSERT_ROOT node=n_fff127c9c67a value=TRUE\nt=0027 ADD_EDGE edge_id=e_a354f6d5e6f9 source=n_7a56f4dae674 edge_type=refutes target=n_54800b3a1c30\nt=0028 ADD_EDGE edge_id=e_522b9726f9f8 source=n_72572e92a6d3 edge_type=supports target=n_1ac6812b73eb\nt=0029 ADD_EDGE edge_id=e_6f449ae0f0ee source=n_fff127c9c67a edge_type=refutes target=n_679d0627d0c8\nt=0030 ADD_EDGE edge_id=e_90c7a631e9ec source=n_b48d06365204 edge_type=refutes target=n_5dd7b1aeafc7\nt=0031 ADD_EDGE edge_id=e_1ac681143482 source=n_5cb4fd870877 edge_type=supports target=n_ad93f00f3202\nt=0032 ADD_EDGE edge_id=e_4f7fb216bc86 source=n_436b0fb35b87 edge_type=refutes target=n_b48d06365204\nt=0033 ADD_EDGE edge_id=e_d594a76660fa source=n_752a2b650abe edge_type=supports target=n_0a7b386b121e\nt=0034 ADD_EDGE edge_id=e_8c9f671a12e3 source=n_02ed07a479d9 edge_type=refutes target=n_7a56f4dae674\nt=0035 ADD_EDGE edge_id=e_99e819e26a60 source=n_924bd087ff9a edge_type=supports target=n_7e393d69d5a7\nt=0036 ADD_EDGE edge_id=e_8e5adfa3278e source=n_7a56f4dae674 edge_type=supports target=n_436b0fb35b87\nt=0037 ADD_EDGE edge_id=e_747870c580f8 source=n_679d0627d0c8 edge_type=refutes target=n_924bd087ff9a\nt=0038 ADD_EDGE edge_id=e_dace11e0e6ad source=n_7e393d69d5a7 edge_type=supports target=n_02ed07a479d9\nt=0039 ADD_EDGE edge_id=e_c0be15b86ecf source=n_391cc9efd315 edge_type=supports target=n_915d29df1cf9\nt=0040 ADD_EDGE edge_id=e_91a4e94c27b9 source=n_6864c9140b27 edge_type=refutes target=n_72572e92a6d3\nt=0041 ADD_EDGE edge_id=e_6e51e71ae556 source=n_436b0fb35b87 edge_type=refutes target=n_3d4680af4859\nt=0042 ADD_EDGE edge_id=e_1caa393a98ed source=n_ad93f00f3202 edge_type=refutes target=n_391cc9efd315\nt=0043 ADD_EDGE edge_id=e_64c1932f3d39 source=n_391cc9efd315 edge_type=refutes target=n_dcf24bbaca11\nt=0044 ADD_EDGE edge_id=e_296d04f28265 source=n_391cc9efd315 edge_type=refutes target=n_30a2a4792ce9\nt=0045 ADD_EDGE edge_id=e_2d6c16af26eb source=n_72572e92a6d3 edge_type=supports target=n_752a2b650abe\nt=0046 ADD_EDGE edge_id=e_6548d61b7d87 source=n_924bd087ff9a edge_type=supports target=n_1c707929de6e\nt=0047 ADD_EDGE edge_id=e_c33a15b0ff1a source=n_ad93f00f3202 edge_type=supports target=n_b09218946f6c\nt=0048 ADD_EDGE edge_id=e_bd47721cacd5 source=n_7a56f4dae674 edge_type=refutes target=n_8eb41741020e\nt=0049 ADD_EDGE edge_id=e_e11a03776fa5 source=n_ad93f00f3202 edge_type=supports target=n_6864c9140b27\nt=0050 ADD_EDGE edge_id=e_621d188feb21 source=n_6864c9140b27 edge_type=supports target=n_0c2b33d7ce94\nt=0051 QUERY source=n_fff127c9c67a target=n_5dd7b1aeafc7\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2463,"provenance":{"base_record_id":"train-d08-033","dataset":"livegraph-deterministic-parity-v3","depth":8,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d08-033","split":"train","variant":"clean"},"record_seed":916803201301797949,"render_sha256":"74b84dae037fee365636114b5a401f5a19bad45152ea6f63413036e877ee6d89","representation":"linear_trace","semantic_sha256":"f59015544af444aa20f17331e183a8ec8fc94cb83e5f4491d9a8a158f49ac529"}
{"char_count":4467,"item_id":"train-d08-034::linear_trace","label":"TRUE","lexical_token_proxy_count":764,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_6fbc1e912a70 node_type=claim\nt=0001 CREATE_NODE id=n_18808d9011a8 node_type=claim\nt=0002 CREATE_NODE id=n_a77f3c3fd53e node_type=claim\nt=0003 CREATE_NODE id=n_6e82024dd078 node_type=claim\nt=0004 CREATE_NODE id=n_9802592d776b node_type=claim\nt=0005 CREATE_NODE id=n_8cd451e39a4d node_type=claim\nt=0006 CREATE_NODE id=n_d1ec3baeea72 node_type=claim\nt=0007 CREATE_NODE id=n_a03b247cec58 node_type=claim\nt=0008 CREATE_NODE id=n_d08499cbf20e node_type=claim\nt=0009 CREATE_NODE id=n_4faf12594722 node_type=claim\nt=0010 CREATE_NODE id=n_f92bc6e5418a node_type=claim\nt=0011 CREATE_NODE id=n_05803e65044d node_type=claim\nt=0012 CREATE_NODE id=n_13ebde3f5258 node_type=claim\nt=0013 CREATE_NODE id=n_39c82d4ce7a8 node_type=claim\nt=0014 CREATE_NODE id=n_86ef4606e32e node_type=claim\nt=0015 CREATE_NODE id=n_8839ce694d1d node_type=claim\nt=0016 CREATE_NODE id=n_fafcc8d951ab node_type=claim\nt=0017 CREATE_NODE id=n_c73071ffb82f node_type=claim\nt=0018 CREATE_NODE id=n_8ce9a71365f1 node_type=claim\nt=0019 CREATE_NODE id=n_bfc0d9fa4fc2 node_type=claim\nt=0020 CREATE_NODE id=n_a3f654855abc node_type=claim\nt=0021 CREATE_NODE id=n_3b5081d4f287 node_type=claim\nt=0022 CREATE_NODE id=n_312ef1436f36 node_type=claim\nt=0023 CREATE_NODE id=n_4a896fc5afe5 node_type=claim\nt=0024 CREATE_NODE id=n_cb768c6db306 node_type=claim\nt=0025 CREATE_NODE id=n_8e2cd81b5398 node_type=claim\nt=0026 ASSERT_ROOT node=n_fafcc8d951ab value=FALSE\nt=0027 ADD_EDGE edge_id=e_59f13ec66f53 source=n_d1ec3baeea72 edge_type=refutes target=n_4faf12594722\nt=0028 ADD_EDGE edge_id=e_fb69bdde3b23 source=n_6e82024dd078 edge_type=supports target=n_a3f654855abc\nt=0029 ADD_EDGE edge_id=e_246d2ede63f8 source=n_6e82024dd078 edge_type=refutes target=n_05803e65044d\nt=0030 ADD_EDGE edge_id=e_d89c48e5b44f source=n_8ce9a71365f1 edge_type=supports target=n_39c82d4ce7a8\nt=0031 ADD_EDGE edge_id=e_c7799c3d61e5 source=n_f92bc6e5418a edge_type=refutes target=n_d1ec3baeea72\nt=0032 ADD_EDGE edge_id=e_5b1c229bb5d4 source=n_a3f654855abc edge_type=refutes target=n_4a896fc5afe5\nt=0033 ADD_EDGE edge_id=e_74f2ba2b65e7 source=n_bfc0d9fa4fc2 edge_type=refutes target=n_8e2cd81b5398\nt=0034 ADD_EDGE edge_id=e_05ee7fcfdabd source=n_18808d9011a8 edge_type=supports target=n_3b5081d4f287\nt=0035 ADD_EDGE edge_id=e_52b8d5556671 source=n_a3f654855abc edge_type=supports target=n_a03b247cec58\nt=0036 ADD_EDGE edge_id=e_05498feaa04f source=n_8cd451e39a4d edge_type=supports target=n_13ebde3f5258\nt=0037 ADD_EDGE edge_id=e_9328a19a799c source=n_f92bc6e5418a edge_type=refutes target=n_d08499cbf20e\nt=0038 ADD_EDGE edge_id=e_68c3ec951da3 source=n_13ebde3f5258 edge_type=supports target=n_18808d9011a8\nt=0039 ADD_EDGE edge_id=e_4994fdd994b1 source=n_8e2cd81b5398 edge_type=refutes target=n_9802592d776b\nt=0040 ADD_EDGE edge_id=e_319b9825aea5 source=n_3b5081d4f287 edge_type=supports target=n_f92bc6e5418a\nt=0041 ADD_EDGE edge_id=e_53f7b0f963e6 source=n_18808d9011a8 edge_type=supports target=n_a77f3c3fd53e\nt=0042 ADD_EDGE edge_id=e_fd17fb38dda8 source=n_cb768c6db306 edge_type=refutes target=n_86ef4606e32e\nt=0043 ADD_EDGE edge_id=e_34dfaa4997ab source=n_4faf12594722 edge_type=supports target=n_c73071ffb82f\nt=0044 ADD_EDGE edge_id=e_ad88e5d01881 source=n_a03b247cec58 edge_type=refutes target=n_cb768c6db306\nt=0045 ADD_EDGE edge_id=e_11641352da64 source=n_8ce9a71365f1 edge_type=refutes target=n_8cd451e39a4d\nt=0046 ADD_EDGE edge_id=e_c724b38d308f source=n_fafcc8d951ab edge_type=supports target=n_8ce9a71365f1\nt=0047 ADD_EDGE edge_id=e_02bbef22881a source=n_8839ce694d1d edge_type=supports target=n_6e82024dd078\nt=0048 ADD_EDGE edge_id=e_bce8d67fb82e source=n_6fbc1e912a70 edge_type=refutes target=n_312ef1436f36\nt=0049 ADD_EDGE edge_id=e_6033997abe10 source=n_a3f654855abc edge_type=refutes target=n_bfc0d9fa4fc2\nt=0050 ADD_EDGE edge_id=e_d47d1bb3efd0 source=n_8839ce694d1d edge_type=supports target=n_6fbc1e912a70\nt=0051 QUERY source=n_fafcc8d951ab target=n_4faf12594722\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2424,"provenance":{"base_record_id":"train-d08-034","dataset":"livegraph-deterministic-parity-v3","depth":8,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d08-034","split":"train","variant":"clean"},"record_seed":63277939741631355,"render_sha256":"a0bdbe59ae612b7a4298edb049e43447e070b20e8cc90b24ac31ec7fa3762942","representation":"linear_trace","semantic_sha256":"712a30e6c98151523ad362a1494d6c3e47372f7fd296e141e74c5706ec3ddbdb"}
{"char_count":4467,"item_id":"train-d08-035::linear_trace","label":"FALSE","lexical_token_proxy_count":764,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_7cc833155855 node_type=claim\nt=0001 CREATE_NODE id=n_658b45f488b2 node_type=claim\nt=0002 CREATE_NODE id=n_2e6f00d66e40 node_type=claim\nt=0003 CREATE_NODE id=n_105f40517b54 node_type=claim\nt=0004 CREATE_NODE id=n_f14d6f2a644a node_type=claim\nt=0005 CREATE_NODE id=n_a94bec4a0133 node_type=claim\nt=0006 CREATE_NODE id=n_365f693728a4 node_type=claim\nt=0007 CREATE_NODE id=n_e342eb8479ca node_type=claim\nt=0008 CREATE_NODE id=n_74e12d096862 node_type=claim\nt=0009 CREATE_NODE id=n_761e00719044 node_type=claim\nt=0010 CREATE_NODE id=n_3b25fdc81fec node_type=claim\nt=0011 CREATE_NODE id=n_12f4e172ff88 node_type=claim\nt=0012 CREATE_NODE id=n_fdb14e9a8718 node_type=claim\nt=0013 CREATE_NODE id=n_7ca7a560a576 node_type=claim\nt=0014 CREATE_NODE id=n_a225f2c8355a node_type=claim\nt=0015 CREATE_NODE id=n_a902f62020e7 node_type=claim\nt=0016 CREATE_NODE id=n_d2ab41e252d5 node_type=claim\nt=0017 CREATE_NODE id=n_e1aa680dab3a node_type=claim\nt=0018 CREATE_NODE id=n_2c5444fa1d39 node_type=claim\nt=0019 CREATE_NODE id=n_9561f1028c7c node_type=claim\nt=0020 CREATE_NODE id=n_6f5a06617942 node_type=claim\nt=0021 CREATE_NODE id=n_d2003b89de41 node_type=claim\nt=0022 CREATE_NODE id=n_c05282d0478f node_type=claim\nt=0023 CREATE_NODE id=n_e6956cc1c4ba node_type=claim\nt=0024 CREATE_NODE id=n_5d7133a6f97d node_type=claim\nt=0025 CREATE_NODE id=n_c913025ad4e3 node_type=claim\nt=0026 ASSERT_ROOT node=n_761e00719044 value=FALSE\nt=0027 ADD_EDGE edge_id=e_668040754f85 source=n_365f693728a4 edge_type=refutes target=n_e342eb8479ca\nt=0028 ADD_EDGE edge_id=e_decd1cd4709d source=n_658b45f488b2 edge_type=supports target=n_d2003b89de41\nt=0029 ADD_EDGE edge_id=e_f824bcef0ddd source=n_7ca7a560a576 edge_type=refutes target=n_c05282d0478f\nt=0030 ADD_EDGE edge_id=e_8ee50ff5cf6d source=n_a225f2c8355a edge_type=refutes target=n_e6956cc1c4ba\nt=0031 ADD_EDGE edge_id=e_8335501a87d6 source=n_7ca7a560a576 edge_type=supports target=n_74e12d096862\nt=0032 ADD_EDGE edge_id=e_0ddc9ace5113 source=n_761e00719044 edge_type=refutes target=n_365f693728a4\nt=0033 ADD_EDGE edge_id=e_ce31ff6f3e3c source=n_5d7133a6f97d edge_type=supports target=n_3b25fdc81fec\nt=0034 ADD_EDGE edge_id=e_46024c24b267 source=n_6f5a06617942 edge_type=refutes target=n_7ca7a560a576\nt=0035 ADD_EDGE edge_id=e_dfb716b033d2 source=n_e342eb8479ca edge_type=supports target=n_2e6f00d66e40\nt=0036 ADD_EDGE edge_id=e_3be88e83d9a4 source=n_7cc833155855 edge_type=refutes target=n_5d7133a6f97d\nt=0037 ADD_EDGE edge_id=e_c290f23ab39f source=n_2e6f00d66e40 edge_type=supports target=n_2c5444fa1d39\nt=0038 ADD_EDGE edge_id=e_2079fa26d3c7 source=n_105f40517b54 edge_type=supports target=n_e1aa680dab3a\nt=0039 ADD_EDGE edge_id=e_b2f439ea3a50 source=n_7cc833155855 edge_type=supports target=n_fdb14e9a8718\nt=0040 ADD_EDGE edge_id=e_d8e445ee3ef2 source=n_12f4e172ff88 edge_type=refutes target=n_658b45f488b2\nt=0041 ADD_EDGE edge_id=e_5bd788e38b45 source=n_3b25fdc81fec edge_type=supports target=n_c913025ad4e3\nt=0042 ADD_EDGE edge_id=e_77bc602781f8 source=n_12f4e172ff88 edge_type=supports target=n_f14d6f2a644a\nt=0043 ADD_EDGE edge_id=e_2fbe760af023 source=n_12f4e172ff88 edge_type=refutes target=n_105f40517b54\nt=0044 ADD_EDGE edge_id=e_9d384f1ea22a source=n_fdb14e9a8718 edge_type=supports target=n_d2ab41e252d5\nt=0045 ADD_EDGE edge_id=e_2b65b378acbe source=n_9561f1028c7c edge_type=refutes target=n_6f5a06617942\nt=0046 ADD_EDGE edge_id=e_5a3c258a475e source=n_7cc833155855 edge_type=supports target=n_12f4e172ff88\nt=0047 ADD_EDGE edge_id=e_51b086d5a4e8 source=n_a225f2c8355a edge_type=refutes target=n_9561f1028c7c\nt=0048 ADD_EDGE edge_id=e_c021d8104ffd source=n_2e6f00d66e40 edge_type=supports target=n_a225f2c8355a\nt=0049 ADD_EDGE edge_id=e_ff95b514198d source=n_658b45f488b2 edge_type=refutes target=n_a94bec4a0133\nt=0050 ADD_EDGE edge_id=e_4ab5568c2715 source=n_a225f2c8355a edge_type=refutes target=n_a902f62020e7\nt=0051 QUERY source=n_761e00719044 target=n_c05282d0478f\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2495,"provenance":{"base_record_id":"train-d08-035","dataset":"livegraph-deterministic-parity-v3","depth":8,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d08-035","split":"train","variant":"clean"},"record_seed":846688788181810749,"render_sha256":"ba00b6115a6b54a017477779f8b042fe281a8c9b328b757550d3177165f4b67b","representation":"linear_trace","semantic_sha256":"6fbd4df9c04d5f4666cd836d5def191bf3b364176e362d7d67248e1017e00e05"}
{"char_count":4466,"item_id":"train-d08-036::linear_trace","label":"TRUE","lexical_token_proxy_count":764,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_f3fbcefe53dc node_type=claim\nt=0001 CREATE_NODE id=n_ffe3501466dd node_type=claim\nt=0002 CREATE_NODE id=n_b22712390c28 node_type=claim\nt=0003 CREATE_NODE id=n_e5e0540eb0b2 node_type=claim\nt=0004 CREATE_NODE id=n_88fc04a83f28 node_type=claim\nt=0005 CREATE_NODE id=n_85d969536712 node_type=claim\nt=0006 CREATE_NODE id=n_ee07f6024238 node_type=claim\nt=0007 CREATE_NODE id=n_090d3085faff node_type=claim\nt=0008 CREATE_NODE id=n_a09fffc59fa1 node_type=claim\nt=0009 CREATE_NODE id=n_6455ea96b14b node_type=claim\nt=0010 CREATE_NODE id=n_55dfbc60e77e node_type=claim\nt=0011 CREATE_NODE id=n_24348ae79f4f node_type=claim\nt=0012 CREATE_NODE id=n_69f7c676230a node_type=claim\nt=0013 CREATE_NODE id=n_598b6deb34a1 node_type=claim\nt=0014 CREATE_NODE id=n_3184f541da88 node_type=claim\nt=0015 CREATE_NODE id=n_014a1b3145dd node_type=claim\nt=0016 CREATE_NODE id=n_812b05205289 node_type=claim\nt=0017 CREATE_NODE id=n_499ded60b89d node_type=claim\nt=0018 CREATE_NODE id=n_2baa5e3df6cf node_type=claim\nt=0019 CREATE_NODE id=n_471fd09727d8 node_type=claim\nt=0020 CREATE_NODE id=n_aced5cd9a970 node_type=claim\nt=0021 CREATE_NODE id=n_9597abed5dcb node_type=claim\nt=0022 CREATE_NODE id=n_658daeff1a7f node_type=claim\nt=0023 CREATE_NODE id=n_2c75ddb12c64 node_type=claim\nt=0024 CREATE_NODE id=n_3228d461bb27 node_type=claim\nt=0025 CREATE_NODE id=n_90d18a766607 node_type=claim\nt=0026 ASSERT_ROOT node=n_2baa5e3df6cf value=TRUE\nt=0027 ADD_EDGE edge_id=e_8a74174001db source=n_ee07f6024238 edge_type=supports target=n_812b05205289\nt=0028 ADD_EDGE edge_id=e_9229eb5d4423 source=n_3184f541da88 edge_type=supports target=n_24348ae79f4f\nt=0029 ADD_EDGE edge_id=e_16734f259d90 source=n_b22712390c28 edge_type=supports target=n_014a1b3145dd\nt=0030 ADD_EDGE edge_id=e_3c8c2d51a3da source=n_69f7c676230a edge_type=refutes target=n_090d3085faff\nt=0031 ADD_EDGE edge_id=e_c53aa26a9fc5 source=n_ffe3501466dd edge_type=refutes target=n_6455ea96b14b\nt=0032 ADD_EDGE edge_id=e_d569d460792c source=n_55dfbc60e77e edge_type=refutes target=n_e5e0540eb0b2\nt=0033 ADD_EDGE edge_id=e_ab1e01551ed0 source=n_f3fbcefe53dc edge_type=supports target=n_85d969536712\nt=0034 ADD_EDGE edge_id=e_d5c5fe1c3b70 source=n_9597abed5dcb edge_type=supports target=n_2c75ddb12c64\nt=0035 ADD_EDGE edge_id=e_08d2f8a86875 source=n_69f7c676230a edge_type=supports target=n_499ded60b89d\nt=0036 ADD_EDGE edge_id=e_23bcc1387255 source=n_f3fbcefe53dc edge_type=supports target=n_a09fffc59fa1\nt=0037 ADD_EDGE edge_id=e_763be3fdd357 source=n_aced5cd9a970 edge_type=refutes target=n_3184f541da88\nt=0038 ADD_EDGE edge_id=e_b161dad4ae7a source=n_9597abed5dcb edge_type=refutes target=n_88fc04a83f28\nt=0039 ADD_EDGE edge_id=e_6311a0863392 source=n_471fd09727d8 edge_type=refutes target=n_55dfbc60e77e\nt=0040 ADD_EDGE edge_id=e_91e0bfdc281a source=n_b22712390c28 edge_type=refutes target=n_f3fbcefe53dc\nt=0041 ADD_EDGE edge_id=e_f8732beb01b2 source=n_24348ae79f4f edge_type=refutes target=n_598b6deb34a1\nt=0042 ADD_EDGE edge_id=e_10d2cc86c60d source=n_2baa5e3df6cf edge_type=refutes target=n_b22712390c28\nt=0043 ADD_EDGE edge_id=e_939be82297b7 source=n_3228d461bb27 edge_type=supports target=n_ffe3501466dd\nt=0044 ADD_EDGE edge_id=e_955b5e691696 source=n_3228d461bb27 edge_type=supports target=n_90d18a766607\nt=0045 ADD_EDGE edge_id=e_67a039bbdce1 source=n_69f7c676230a edge_type=refutes target=n_ee07f6024238\nt=0046 ADD_EDGE edge_id=e_e200c43ebb20 source=n_6455ea96b14b edge_type=refutes target=n_471fd09727d8\nt=0047 ADD_EDGE edge_id=e_141d5b561613 source=n_69f7c676230a edge_type=refutes target=n_aced5cd9a970\nt=0048 ADD_EDGE edge_id=e_a937a68e5d90 source=n_aced5cd9a970 edge_type=supports target=n_9597abed5dcb\nt=0049 ADD_EDGE edge_id=e_c39faecdbd5b source=n_9597abed5dcb edge_type=supports target=n_658daeff1a7f\nt=0050 ADD_EDGE edge_id=e_65e905472a62 source=n_f3fbcefe53dc edge_type=supports target=n_3228d461bb27\nt=0051 QUERY source=n_2baa5e3df6cf target=n_e5e0540eb0b2\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2416,"provenance":{"base_record_id":"train-d08-036","dataset":"livegraph-deterministic-parity-v3","depth":8,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d08-036","split":"train","variant":"clean"},"record_seed":179472456821559421,"render_sha256":"500d4d179b821bacda2b1dee0d3d9d6f8a4f22e71bb9a6426c68ba6208576311","representation":"linear_trace","semantic_sha256":"a70b4b2fd7434209684bd3b09c11fac6172fe7868c38ce320b49ca1b95511994"}
{"char_count":4466,"item_id":"train-d08-037::linear_trace","label":"FALSE","lexical_token_proxy_count":764,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_6d558ba147f7 node_type=claim\nt=0001 CREATE_NODE id=n_db1a54955abf node_type=claim\nt=0002 CREATE_NODE id=n_14c9f20a7d73 node_type=claim\nt=0003 CREATE_NODE id=n_d4493d529b03 node_type=claim\nt=0004 CREATE_NODE id=n_c5290c16a638 node_type=claim\nt=0005 CREATE_NODE id=n_a1532e8832bc node_type=claim\nt=0006 CREATE_NODE id=n_fc3ea3e0634e node_type=claim\nt=0007 CREATE_NODE id=n_189603c5636d node_type=claim\nt=0008 CREATE_NODE id=n_73eba0afbb12 node_type=claim\nt=0009 CREATE_NODE id=n_637bf308cbf6 node_type=claim\nt=0010 CREATE_NODE id=n_e4f3a56f0af3 node_type=claim\nt=0011 CREATE_NODE id=n_ce526310d1f4 node_type=claim\nt=0012 CREATE_NODE id=n_1697dd8ae410 node_type=claim\nt=0013 CREATE_NODE id=n_b131116941b8 node_type=claim\nt=0014 CREATE_NODE id=n_3436de0394fb node_type=claim\nt=0015 CREATE_NODE id=n_b5359d063c48 node_type=claim\nt=0016 CREATE_NODE id=n_2f19d27e4967 node_type=claim\nt=0017 CREATE_NODE id=n_2f5e85a0ea38 node_type=claim\nt=0018 CREATE_NODE id=n_205e64a039ce node_type=claim\nt=0019 CREATE_NODE id=n_602b21485503 node_type=claim\nt=0020 CREATE_NODE id=n_0c1e12534a00 node_type=claim\nt=0021 CREATE_NODE id=n_59cc8979b549 node_type=claim\nt=0022 CREATE_NODE id=n_3c0347f7028b node_type=claim\nt=0023 CREATE_NODE id=n_ea6eab192d40 node_type=claim\nt=0024 CREATE_NODE id=n_7cde059da85b node_type=claim\nt=0025 CREATE_NODE id=n_f6ed422f2b49 node_type=claim\nt=0026 ASSERT_ROOT node=n_f6ed422f2b49 value=TRUE\nt=0027 ADD_EDGE edge_id=e_010d8020a138 source=n_0c1e12534a00 edge_type=refutes target=n_3436de0394fb\nt=0028 ADD_EDGE edge_id=e_820378ea9fb3 source=n_637bf308cbf6 edge_type=supports target=n_189603c5636d\nt=0029 ADD_EDGE edge_id=e_5c20bf103ba2 source=n_e4f3a56f0af3 edge_type=refutes target=n_a1532e8832bc\nt=0030 ADD_EDGE edge_id=e_9211bcf5882d source=n_14c9f20a7d73 edge_type=supports target=n_73eba0afbb12\nt=0031 ADD_EDGE edge_id=e_b596c4ad925a source=n_637bf308cbf6 edge_type=supports target=n_602b21485503\nt=0032 ADD_EDGE edge_id=e_0cdaf2a12ee6 source=n_3c0347f7028b edge_type=refutes target=n_b5359d063c48\nt=0033 ADD_EDGE edge_id=e_6a41b2bcf783 source=n_2f5e85a0ea38 edge_type=refutes target=n_db1a54955abf\nt=0034 ADD_EDGE edge_id=e_5de87223506f source=n_205e64a039ce edge_type=refutes target=n_59cc8979b549\nt=0035 ADD_EDGE edge_id=e_b223622b4160 source=n_6d558ba147f7 edge_type=refutes target=n_e4f3a56f0af3\nt=0036 ADD_EDGE edge_id=e_9fbbae13aa7a source=n_a1532e8832bc edge_type=supports target=n_1697dd8ae410\nt=0037 ADD_EDGE edge_id=e_4dda3a12f129 source=n_3c0347f7028b edge_type=supports target=n_c5290c16a638\nt=0038 ADD_EDGE edge_id=e_b38bb22961e7 source=n_2f5e85a0ea38 edge_type=refutes target=n_3c0347f7028b\nt=0039 ADD_EDGE edge_id=e_1e81ec6e70c5 source=n_a1532e8832bc edge_type=refutes target=n_ea6eab192d40\nt=0040 ADD_EDGE edge_id=e_ccdb57473296 source=n_b131116941b8 edge_type=supports target=n_2f19d27e4967\nt=0041 ADD_EDGE edge_id=e_bb6ec95a9181 source=n_f6ed422f2b49 edge_type=supports target=n_6d558ba147f7\nt=0042 ADD_EDGE edge_id=e_b2e25aede911 source=n_2f19d27e4967 edge_type=refutes target=n_205e64a039ce\nt=0043 ADD_EDGE edge_id=e_9f7ef1271ba5 source=n_c5290c16a638 edge_type=supports target=n_7cde059da85b\nt=0044 ADD_EDGE edge_id=e_8a486d0b4b3e source=n_ea6eab192d40 edge_type=refutes target=n_2f5e85a0ea38\nt=0045 ADD_EDGE edge_id=e_474a292a5ef4 source=n_b131116941b8 edge_type=supports target=n_fc3ea3e0634e\nt=0046 ADD_EDGE edge_id=e_8f5c0250edd9 source=n_189603c5636d edge_type=refutes target=n_14c9f20a7d73\nt=0047 ADD_EDGE edge_id=e_7aa7be7bb451 source=n_3436de0394fb edge_type=supports target=n_637bf308cbf6\nt=0048 ADD_EDGE edge_id=e_3ad89eae7889 source=n_a1532e8832bc edge_type=supports target=n_ce526310d1f4\nt=0049 ADD_EDGE edge_id=e_42c5b99e9052 source=n_189603c5636d edge_type=refutes target=n_d4493d529b03\nt=0050 ADD_EDGE edge_id=e_b5909e706096 source=n_637bf308cbf6 edge_type=supports target=n_b131116941b8\nt=0051 QUERY source=n_f6ed422f2b49 target=n_7cde059da85b\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2468,"provenance":{"base_record_id":"train-d08-037","dataset":"livegraph-deterministic-parity-v3","depth":8,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d08-037","split":"train","variant":"clean"},"record_seed":839508741764164165,"render_sha256":"cfa66c588df7e05512b7b7a6de16180323579f492c1a4ff575302d09fb969dd5","representation":"linear_trace","semantic_sha256":"7e91cf0770dc842615177a63aeda00cbf4df3d10d9fd8a7614f1c575b91d5341"}
{"char_count":4467,"item_id":"train-d08-038::linear_trace","label":"TRUE","lexical_token_proxy_count":764,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_0ddc8a3e3d8a node_type=claim\nt=0001 CREATE_NODE id=n_99760208bb88 node_type=claim\nt=0002 CREATE_NODE id=n_5e1f1929c0ce node_type=claim\nt=0003 CREATE_NODE id=n_5a40f1ff5c76 node_type=claim\nt=0004 CREATE_NODE id=n_5befe6e3e3ac node_type=claim\nt=0005 CREATE_NODE id=n_54d79229616c node_type=claim\nt=0006 CREATE_NODE id=n_63747bdba513 node_type=claim\nt=0007 CREATE_NODE id=n_c0527f6b938b node_type=claim\nt=0008 CREATE_NODE id=n_024885a25570 node_type=claim\nt=0009 CREATE_NODE id=n_ba0730f92917 node_type=claim\nt=0010 CREATE_NODE id=n_b19fb136ace3 node_type=claim\nt=0011 CREATE_NODE id=n_a2e60b426642 node_type=claim\nt=0012 CREATE_NODE id=n_6caf6b9ffb31 node_type=claim\nt=0013 CREATE_NODE id=n_1af27f264c04 node_type=claim\nt=0014 CREATE_NODE id=n_dc3e7bd51a8d node_type=claim\nt=0015 CREATE_NODE id=n_599c8f2cf8eb node_type=claim\nt=0016 CREATE_NODE id=n_91daa5094895 node_type=claim\nt=0017 CREATE_NODE id=n_0f42e0954529 node_type=claim\nt=0018 CREATE_NODE id=n_bdf6592a52a4 node_type=claim\nt=0019 CREATE_NODE id=n_8deb3015d872 node_type=claim\nt=0020 CREATE_NODE id=n_4e01a4c1b830 node_type=claim\nt=0021 CREATE_NODE id=n_d0b6a29e3c66 node_type=claim\nt=0022 CREATE_NODE id=n_05850c0eed78 node_type=claim\nt=0023 CREATE_NODE id=n_4b9ea117a29e node_type=claim\nt=0024 CREATE_NODE id=n_9d0f99697682 node_type=claim\nt=0025 CREATE_NODE id=n_93c270a275ad node_type=claim\nt=0026 ASSERT_ROOT node=n_ba0730f92917 value=FALSE\nt=0027 ADD_EDGE edge_id=e_94d602c8ef44 source=n_5a40f1ff5c76 edge_type=supports target=n_0ddc8a3e3d8a\nt=0028 ADD_EDGE edge_id=e_d125fc8774cc source=n_91daa5094895 edge_type=supports target=n_dc3e7bd51a8d\nt=0029 ADD_EDGE edge_id=e_19e1c4a48f5d source=n_d0b6a29e3c66 edge_type=supports target=n_91daa5094895\nt=0030 ADD_EDGE edge_id=e_9347260f79f3 source=n_93c270a275ad edge_type=refutes target=n_0f42e0954529\nt=0031 ADD_EDGE edge_id=e_a8788d2beac8 source=n_4e01a4c1b830 edge_type=supports target=n_599c8f2cf8eb\nt=0032 ADD_EDGE edge_id=e_8737db5630ba source=n_bdf6592a52a4 edge_type=refutes target=n_54d79229616c\nt=0033 ADD_EDGE edge_id=e_4d4312713141 source=n_024885a25570 edge_type=refutes target=n_99760208bb88\nt=0034 ADD_EDGE edge_id=e_33fbea7a05e1 source=n_5befe6e3e3ac edge_type=supports target=n_c0527f6b938b\nt=0035 ADD_EDGE edge_id=e_a3e18d807f09 source=n_93c270a275ad edge_type=refutes target=n_6caf6b9ffb31\nt=0036 ADD_EDGE edge_id=e_e710a0be4ba2 source=n_91daa5094895 edge_type=supports target=n_bdf6592a52a4\nt=0037 ADD_EDGE edge_id=e_1d2af1fb5bdb source=n_8deb3015d872 edge_type=refutes target=n_024885a25570\nt=0038 ADD_EDGE edge_id=e_c441bf75078c source=n_91daa5094895 edge_type=supports target=n_4b9ea117a29e\nt=0039 ADD_EDGE edge_id=e_389cdd173361 source=n_05850c0eed78 edge_type=refutes target=n_1af27f264c04\nt=0040 ADD_EDGE edge_id=e_0196b1f1e19d source=n_c0527f6b938b edge_type=supports target=n_5a40f1ff5c76\nt=0041 ADD_EDGE edge_id=e_19ce3ae3d994 source=n_d0b6a29e3c66 edge_type=supports target=n_63747bdba513\nt=0042 ADD_EDGE edge_id=e_959d6068eeb1 source=n_91daa5094895 edge_type=refutes target=n_8deb3015d872\nt=0043 ADD_EDGE edge_id=e_ed92b6fda953 source=n_a2e60b426642 edge_type=refutes target=n_4e01a4c1b830\nt=0044 ADD_EDGE edge_id=e_15e5086106fd source=n_d0b6a29e3c66 edge_type=supports target=n_9d0f99697682\nt=0045 ADD_EDGE edge_id=e_7faa8fd18eff source=n_91daa5094895 edge_type=refutes target=n_b19fb136ace3\nt=0046 ADD_EDGE edge_id=e_ad8a11152a38 source=n_05850c0eed78 edge_type=supports target=n_93c270a275ad\nt=0047 ADD_EDGE edge_id=e_77ab087d33ec source=n_ba0730f92917 edge_type=refutes target=n_05850c0eed78\nt=0048 ADD_EDGE edge_id=e_0ef23d16f82c source=n_91daa5094895 edge_type=refutes target=n_5e1f1929c0ce\nt=0049 ADD_EDGE edge_id=e_3847bf8cb78d source=n_93c270a275ad edge_type=supports target=n_a2e60b426642\nt=0050 ADD_EDGE edge_id=e_610205157683 source=n_599c8f2cf8eb edge_type=refutes target=n_5befe6e3e3ac\nt=0051 QUERY source=n_ba0730f92917 target=n_5a40f1ff5c76\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2452,"provenance":{"base_record_id":"train-d08-038","dataset":"livegraph-deterministic-parity-v3","depth":8,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d08-038","split":"train","variant":"clean"},"record_seed":972008941186037404,"render_sha256":"fe5ec1aa2aae393252654416ba50e44037ce22f5444e2d3581df28c38dca0cd5","representation":"linear_trace","semantic_sha256":"258ff60993972cdc991fdfb8769ebf570a13cc4d1b62e75dfd926fddd042fb76"}
{"char_count":4467,"item_id":"train-d08-039::linear_trace","label":"FALSE","lexical_token_proxy_count":764,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_8e52e67d05af node_type=claim\nt=0001 CREATE_NODE id=n_fff124d802a2 node_type=claim\nt=0002 CREATE_NODE id=n_151c44c2319f node_type=claim\nt=0003 CREATE_NODE id=n_0cd268c542ad node_type=claim\nt=0004 CREATE_NODE id=n_6b3220398731 node_type=claim\nt=0005 CREATE_NODE id=n_4a2b6a0e234b node_type=claim\nt=0006 CREATE_NODE id=n_d911ada3f723 node_type=claim\nt=0007 CREATE_NODE id=n_d55d158eb03d node_type=claim\nt=0008 CREATE_NODE id=n_ed0f9fc4b0a2 node_type=claim\nt=0009 CREATE_NODE id=n_26b5dec02376 node_type=claim\nt=0010 CREATE_NODE id=n_e534ce35d0f7 node_type=claim\nt=0011 CREATE_NODE id=n_e946ba43b990 node_type=claim\nt=0012 CREATE_NODE id=n_28bf832635db node_type=claim\nt=0013 CREATE_NODE id=n_9623f50faba3 node_type=claim\nt=0014 CREATE_NODE id=n_cc1ecfd83ca7 node_type=claim\nt=0015 CREATE_NODE id=n_be1cb16bf97d node_type=claim\nt=0016 CREATE_NODE id=n_c300f845aed0 node_type=claim\nt=0017 CREATE_NODE id=n_51a40b9b56f8 node_type=claim\nt=0018 CREATE_NODE id=n_bd8aec405c9f node_type=claim\nt=0019 CREATE_NODE id=n_ed7a6d9f3be9 node_type=claim\nt=0020 CREATE_NODE id=n_ab20c45b273b node_type=claim\nt=0021 CREATE_NODE id=n_4bfb953cbd3b node_type=claim\nt=0022 CREATE_NODE id=n_74bbcd8bec36 node_type=claim\nt=0023 CREATE_NODE id=n_c807046b9220 node_type=claim\nt=0024 CREATE_NODE id=n_8df77bf7b5d9 node_type=claim\nt=0025 CREATE_NODE id=n_11123920ff35 node_type=claim\nt=0026 ASSERT_ROOT node=n_c300f845aed0 value=FALSE\nt=0027 ADD_EDGE edge_id=e_04602729fa0d source=n_4a2b6a0e234b edge_type=supports target=n_e946ba43b990\nt=0028 ADD_EDGE edge_id=e_28f75101ddcc source=n_6b3220398731 edge_type=supports target=n_74bbcd8bec36\nt=0029 ADD_EDGE edge_id=e_70c8a211da8c source=n_11123920ff35 edge_type=supports target=n_6b3220398731\nt=0030 ADD_EDGE edge_id=e_4e05e393abc9 source=n_11123920ff35 edge_type=supports target=n_0cd268c542ad\nt=0031 ADD_EDGE edge_id=e_d1facc5cb44f source=n_e946ba43b990 edge_type=supports target=n_d911ada3f723\nt=0032 ADD_EDGE edge_id=e_99f2f34190fc source=n_26b5dec02376 edge_type=refutes target=n_ed0f9fc4b0a2\nt=0033 ADD_EDGE edge_id=e_1102fcff0a0c source=n_c300f845aed0 edge_type=supports target=n_4a2b6a0e234b\nt=0034 ADD_EDGE edge_id=e_e817033a190d source=n_151c44c2319f edge_type=refutes target=n_8e52e67d05af\nt=0035 ADD_EDGE edge_id=e_46bd2b93d7d3 source=n_11123920ff35 edge_type=supports target=n_bd8aec405c9f\nt=0036 ADD_EDGE edge_id=e_b50c0082128b source=n_cc1ecfd83ca7 edge_type=refutes target=n_fff124d802a2\nt=0037 ADD_EDGE edge_id=e_ed68c2f71a7a source=n_ed0f9fc4b0a2 edge_type=supports target=n_c807046b9220\nt=0038 ADD_EDGE edge_id=e_043c8decba71 source=n_c300f845aed0 edge_type=refutes target=n_d55d158eb03d\nt=0039 ADD_EDGE edge_id=e_331211ce1bfb source=n_26b5dec02376 edge_type=refutes target=n_e534ce35d0f7\nt=0040 ADD_EDGE edge_id=e_e8c9c1e49bcb source=n_cc1ecfd83ca7 edge_type=refutes target=n_26b5dec02376\nt=0041 ADD_EDGE edge_id=e_c09e3b8b1c55 source=n_ed7a6d9f3be9 edge_type=refutes target=n_4bfb953cbd3b\nt=0042 ADD_EDGE edge_id=e_925d4fc35b73 source=n_fff124d802a2 edge_type=supports target=n_11123920ff35\nt=0043 ADD_EDGE edge_id=e_c1641ee25f00 source=n_28bf832635db edge_type=supports target=n_51a40b9b56f8\nt=0044 ADD_EDGE edge_id=e_56088fef6988 source=n_4bfb953cbd3b edge_type=refutes target=n_8df77bf7b5d9\nt=0045 ADD_EDGE edge_id=e_fcb170c92768 source=n_9623f50faba3 edge_type=refutes target=n_be1cb16bf97d\nt=0046 ADD_EDGE edge_id=e_846833973e09 source=n_151c44c2319f edge_type=supports target=n_ed7a6d9f3be9\nt=0047 ADD_EDGE edge_id=e_f7ea44f0b07e source=n_ed7a6d9f3be9 edge_type=refutes target=n_ab20c45b273b\nt=0048 ADD_EDGE edge_id=e_8535c4f16180 source=n_d911ada3f723 edge_type=refutes target=n_151c44c2319f\nt=0049 ADD_EDGE edge_id=e_ab1fb71ff7f0 source=n_cc1ecfd83ca7 edge_type=supports target=n_9623f50faba3\nt=0050 ADD_EDGE edge_id=e_268b1d601bf4 source=n_8df77bf7b5d9 edge_type=refutes target=n_28bf832635db\nt=0051 QUERY source=n_c300f845aed0 target=n_28bf832635db\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2424,"provenance":{"base_record_id":"train-d08-039","dataset":"livegraph-deterministic-parity-v3","depth":8,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d08-039","split":"train","variant":"clean"},"record_seed":1134676028187545040,"render_sha256":"61ca661477cbcff21b68ebee11def5afc23cea0a413b8d2c00df7860a204c6cf","representation":"linear_trace","semantic_sha256":"2366ac2bf0e022cd0a535b870eb21bed5d0b5e6e31472a83b39db2ac439810fa"}
{"char_count":4466,"item_id":"train-d08-040::linear_trace","label":"TRUE","lexical_token_proxy_count":764,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_5fc902f2d866 node_type=claim\nt=0001 CREATE_NODE id=n_8303f1e12c37 node_type=claim\nt=0002 CREATE_NODE id=n_5bccc2c7f90b node_type=claim\nt=0003 CREATE_NODE id=n_3d925aba4075 node_type=claim\nt=0004 CREATE_NODE id=n_ed2e8ddcc2cc node_type=claim\nt=0005 CREATE_NODE id=n_8f1d7ccd21be node_type=claim\nt=0006 CREATE_NODE id=n_e0829874f950 node_type=claim\nt=0007 CREATE_NODE id=n_bce740ffb7f5 node_type=claim\nt=0008 CREATE_NODE id=n_5001b5e9f1f4 node_type=claim\nt=0009 CREATE_NODE id=n_44de942f294f node_type=claim\nt=0010 CREATE_NODE id=n_0f16ae4bb284 node_type=claim\nt=0011 CREATE_NODE id=n_b7aeb422d0de node_type=claim\nt=0012 CREATE_NODE id=n_87f965e39047 node_type=claim\nt=0013 CREATE_NODE id=n_fddfe0befe21 node_type=claim\nt=0014 CREATE_NODE id=n_99f35594d382 node_type=claim\nt=0015 CREATE_NODE id=n_b09a94dfa438 node_type=claim\nt=0016 CREATE_NODE id=n_86573cc5c6cc node_type=claim\nt=0017 CREATE_NODE id=n_77b9a22148b0 node_type=claim\nt=0018 CREATE_NODE id=n_9a27c283a050 node_type=claim\nt=0019 CREATE_NODE id=n_66999a189c52 node_type=claim\nt=0020 CREATE_NODE id=n_db5d987591ef node_type=claim\nt=0021 CREATE_NODE id=n_f54977ef6537 node_type=claim\nt=0022 CREATE_NODE id=n_38bfd9c67f90 node_type=claim\nt=0023 CREATE_NODE id=n_5ef96c7110fd node_type=claim\nt=0024 CREATE_NODE id=n_3f6e00339750 node_type=claim\nt=0025 CREATE_NODE id=n_ae407c3ed780 node_type=claim\nt=0026 ASSERT_ROOT node=n_86573cc5c6cc value=TRUE\nt=0027 ADD_EDGE edge_id=e_97b27e9d2f9d source=n_e0829874f950 edge_type=refutes target=n_8f1d7ccd21be\nt=0028 ADD_EDGE edge_id=e_94f210d2bedf source=n_66999a189c52 edge_type=refutes target=n_5bccc2c7f90b\nt=0029 ADD_EDGE edge_id=e_e7ff6f9747c2 source=n_db5d987591ef edge_type=refutes target=n_3d925aba4075\nt=0030 ADD_EDGE edge_id=e_881dc367add9 source=n_fddfe0befe21 edge_type=supports target=n_ae407c3ed780\nt=0031 ADD_EDGE edge_id=e_ec3efff0b7a3 source=n_b7aeb422d0de edge_type=refutes target=n_9a27c283a050\nt=0032 ADD_EDGE edge_id=e_50836a545cd9 source=n_87f965e39047 edge_type=supports target=n_b7aeb422d0de\nt=0033 ADD_EDGE edge_id=e_2d8b387d334f source=n_bce740ffb7f5 edge_type=supports target=n_87f965e39047\nt=0034 ADD_EDGE edge_id=e_c9e14d392044 source=n_5bccc2c7f90b edge_type=supports target=n_fddfe0befe21\nt=0035 ADD_EDGE edge_id=e_df55b9ee170c source=n_9a27c283a050 edge_type=supports target=n_38bfd9c67f90\nt=0036 ADD_EDGE edge_id=e_d3c78df47861 source=n_b7aeb422d0de edge_type=refutes target=n_5ef96c7110fd\nt=0037 ADD_EDGE edge_id=e_a95984a3322f source=n_ae407c3ed780 edge_type=supports target=n_ed2e8ddcc2cc\nt=0038 ADD_EDGE edge_id=e_48564fb34ecd source=n_77b9a22148b0 edge_type=supports target=n_44de942f294f\nt=0039 ADD_EDGE edge_id=e_f388f9fbb744 source=n_8303f1e12c37 edge_type=supports target=n_66999a189c52\nt=0040 ADD_EDGE edge_id=e_fce908ec2e01 source=n_e0829874f950 edge_type=refutes target=n_b09a94dfa438\nt=0041 ADD_EDGE edge_id=e_874b7d25ecbc source=n_3d925aba4075 edge_type=supports target=n_0f16ae4bb284\nt=0042 ADD_EDGE edge_id=e_2b91dd975195 source=n_db5d987591ef edge_type=supports target=n_f54977ef6537\nt=0043 ADD_EDGE edge_id=e_e298e0957288 source=n_86573cc5c6cc edge_type=refutes target=n_e0829874f950\nt=0044 ADD_EDGE edge_id=e_dbf55689fdf4 source=n_5fc902f2d866 edge_type=refutes target=n_bce740ffb7f5\nt=0045 ADD_EDGE edge_id=e_a265f55e0f3f source=n_ae407c3ed780 edge_type=supports target=n_77b9a22148b0\nt=0046 ADD_EDGE edge_id=e_b65350cd1681 source=n_b7aeb422d0de edge_type=refutes target=n_db5d987591ef\nt=0047 ADD_EDGE edge_id=e_4d46c194a61a source=n_3d925aba4075 edge_type=supports target=n_3f6e00339750\nt=0048 ADD_EDGE edge_id=e_abaf4411c92e source=n_8f1d7ccd21be edge_type=refutes target=n_8303f1e12c37\nt=0049 ADD_EDGE edge_id=e_24d24723fdcd source=n_66999a189c52 edge_type=refutes target=n_5001b5e9f1f4\nt=0050 ADD_EDGE edge_id=e_4a61022a68c4 source=n_9a27c283a050 edge_type=refutes target=n_99f35594d382\nt=0051 QUERY source=n_86573cc5c6cc target=n_77b9a22148b0\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2448,"provenance":{"base_record_id":"train-d08-040","dataset":"livegraph-deterministic-parity-v3","depth":8,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d08-040","split":"train","variant":"clean"},"record_seed":411244693239517253,"render_sha256":"5332bf434e2efad7938ebdbbbee612f36c911833bea67adde8e118b41381a16f","representation":"linear_trace","semantic_sha256":"d1e9e040106658f0a5007c3b5b06390e440b2bbbfd8396b1c4268f0ae0e5f35f"}
{"char_count":4466,"item_id":"train-d08-041::linear_trace","label":"FALSE","lexical_token_proxy_count":764,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_8e6b4a9a7b63 node_type=claim\nt=0001 CREATE_NODE id=n_f73e0f4d29e4 node_type=claim\nt=0002 CREATE_NODE id=n_4e4e9006a925 node_type=claim\nt=0003 CREATE_NODE id=n_8dfd85996090 node_type=claim\nt=0004 CREATE_NODE id=n_86a8e8098074 node_type=claim\nt=0005 CREATE_NODE id=n_bfc8e6298bae node_type=claim\nt=0006 CREATE_NODE id=n_96267a66833f node_type=claim\nt=0007 CREATE_NODE id=n_100b002cc655 node_type=claim\nt=0008 CREATE_NODE id=n_4058183d2859 node_type=claim\nt=0009 CREATE_NODE id=n_04c81e19d54b node_type=claim\nt=0010 CREATE_NODE id=n_e2668d092c1f node_type=claim\nt=0011 CREATE_NODE id=n_2d545e9b57ed node_type=claim\nt=0012 CREATE_NODE id=n_aa8f5fd4d859 node_type=claim\nt=0013 CREATE_NODE id=n_63ee08b25c04 node_type=claim\nt=0014 CREATE_NODE id=n_d16385fbb82b node_type=claim\nt=0015 CREATE_NODE id=n_b0465f8fc68d node_type=claim\nt=0016 CREATE_NODE id=n_0dc57c863a24 node_type=claim\nt=0017 CREATE_NODE id=n_17a7e8481a69 node_type=claim\nt=0018 CREATE_NODE id=n_496850596284 node_type=claim\nt=0019 CREATE_NODE id=n_170a04b6acca node_type=claim\nt=0020 CREATE_NODE id=n_6985089e86a0 node_type=claim\nt=0021 CREATE_NODE id=n_6e342c98b13d node_type=claim\nt=0022 CREATE_NODE id=n_ad18573ccd0d node_type=claim\nt=0023 CREATE_NODE id=n_a63d21bf0414 node_type=claim\nt=0024 CREATE_NODE id=n_28ff09cf4106 node_type=claim\nt=0025 CREATE_NODE id=n_75f46f9066d1 node_type=claim\nt=0026 ASSERT_ROOT node=n_63ee08b25c04 value=TRUE\nt=0027 ADD_EDGE edge_id=e_ee8faa5aec26 source=n_e2668d092c1f edge_type=supports target=n_17a7e8481a69\nt=0028 ADD_EDGE edge_id=e_c49cb40f51cd source=n_0dc57c863a24 edge_type=refutes target=n_8dfd85996090\nt=0029 ADD_EDGE edge_id=e_eb84ec2bb55d source=n_96267a66833f edge_type=supports target=n_28ff09cf4106\nt=0030 ADD_EDGE edge_id=e_7ceffee54e9e source=n_6985089e86a0 edge_type=supports target=n_aa8f5fd4d859\nt=0031 ADD_EDGE edge_id=e_9bcd5d38a478 source=n_04c81e19d54b edge_type=supports target=n_75f46f9066d1\nt=0032 ADD_EDGE edge_id=e_2be7b42344d7 source=n_a63d21bf0414 edge_type=refutes target=n_8e6b4a9a7b63\nt=0033 ADD_EDGE edge_id=e_3d66a728f36c source=n_4058183d2859 edge_type=supports target=n_a63d21bf0414\nt=0034 ADD_EDGE edge_id=e_ae9dc025dd2e source=n_496850596284 edge_type=refutes target=n_e2668d092c1f\nt=0035 ADD_EDGE edge_id=e_768b21a4c56e source=n_04c81e19d54b edge_type=supports target=n_4058183d2859\nt=0036 ADD_EDGE edge_id=e_8e82d6963559 source=n_100b002cc655 edge_type=supports target=n_d16385fbb82b\nt=0037 ADD_EDGE edge_id=e_229bce49fb9a source=n_e2668d092c1f edge_type=supports target=n_6e342c98b13d\nt=0038 ADD_EDGE edge_id=e_aa01f15d853b source=n_f73e0f4d29e4 edge_type=refutes target=n_100b002cc655\nt=0039 ADD_EDGE edge_id=e_13394400fa95 source=n_aa8f5fd4d859 edge_type=supports target=n_f73e0f4d29e4\nt=0040 ADD_EDGE edge_id=e_3a7655a089af source=n_aa8f5fd4d859 edge_type=supports target=n_2d545e9b57ed\nt=0041 ADD_EDGE edge_id=e_be73ec3f2abf source=n_04c81e19d54b edge_type=refutes target=n_bfc8e6298bae\nt=0042 ADD_EDGE edge_id=e_267e81653897 source=n_63ee08b25c04 edge_type=refutes target=n_96267a66833f\nt=0043 ADD_EDGE edge_id=e_0b7859e2705a source=n_75f46f9066d1 edge_type=supports target=n_ad18573ccd0d\nt=0044 ADD_EDGE edge_id=e_bd5b5b1119ec source=n_4058183d2859 edge_type=refutes target=n_496850596284\nt=0045 ADD_EDGE edge_id=e_ad271778995c source=n_63ee08b25c04 edge_type=refutes target=n_170a04b6acca\nt=0046 ADD_EDGE edge_id=e_ed4bc0a23d37 source=n_d16385fbb82b edge_type=refutes target=n_0dc57c863a24\nt=0047 ADD_EDGE edge_id=e_604486287682 source=n_96267a66833f edge_type=refutes target=n_6985089e86a0\nt=0048 ADD_EDGE edge_id=e_c73cb629f5b7 source=n_4058183d2859 edge_type=supports target=n_b0465f8fc68d\nt=0049 ADD_EDGE edge_id=e_98783023c407 source=n_ad18573ccd0d edge_type=refutes target=n_4e4e9006a925\nt=0050 ADD_EDGE edge_id=e_e29b545f4e54 source=n_100b002cc655 edge_type=refutes target=n_86a8e8098074\nt=0051 QUERY source=n_63ee08b25c04 target=n_8dfd85996090\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2484,"provenance":{"base_record_id":"train-d08-041","dataset":"livegraph-deterministic-parity-v3","depth":8,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d08-041","split":"train","variant":"clean"},"record_seed":148031022746231080,"render_sha256":"9dd90b78a041bd5d1a196080667a2d6ada619e3a9de3879058539826ae895873","representation":"linear_trace","semantic_sha256":"1211249f837e5bae0ce196bdbf2bbc822d5c558df78eb58ddbfbe1bbeebe3df5"}
{"char_count":4467,"item_id":"train-d08-042::linear_trace","label":"TRUE","lexical_token_proxy_count":764,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_a83b355e5207 node_type=claim\nt=0001 CREATE_NODE id=n_9fceef24c032 node_type=claim\nt=0002 CREATE_NODE id=n_1dbf7e72de00 node_type=claim\nt=0003 CREATE_NODE id=n_9c444085c60b node_type=claim\nt=0004 CREATE_NODE id=n_7c15c46fee89 node_type=claim\nt=0005 CREATE_NODE id=n_6b4b77d353ba node_type=claim\nt=0006 CREATE_NODE id=n_5d67392ce8a4 node_type=claim\nt=0007 CREATE_NODE id=n_b22f5ff08cc0 node_type=claim\nt=0008 CREATE_NODE id=n_c7c73fba30d4 node_type=claim\nt=0009 CREATE_NODE id=n_6e3e5c58be3a node_type=claim\nt=0010 CREATE_NODE id=n_43d5ca407a0b node_type=claim\nt=0011 CREATE_NODE id=n_630437342dcd node_type=claim\nt=0012 CREATE_NODE id=n_62052481b82a node_type=claim\nt=0013 CREATE_NODE id=n_07afd120f3b8 node_type=claim\nt=0014 CREATE_NODE id=n_62ec8bc92d6c node_type=claim\nt=0015 CREATE_NODE id=n_5b3075c7fd64 node_type=claim\nt=0016 CREATE_NODE id=n_07ee03c95df6 node_type=claim\nt=0017 CREATE_NODE id=n_161212034477 node_type=claim\nt=0018 CREATE_NODE id=n_eb408733008e node_type=claim\nt=0019 CREATE_NODE id=n_7f51f34c05af node_type=claim\nt=0020 CREATE_NODE id=n_315ad672ba47 node_type=claim\nt=0021 CREATE_NODE id=n_e5615c0af382 node_type=claim\nt=0022 CREATE_NODE id=n_9f6f1c1f118a node_type=claim\nt=0023 CREATE_NODE id=n_982743f3c178 node_type=claim\nt=0024 CREATE_NODE id=n_076486099728 node_type=claim\nt=0025 CREATE_NODE id=n_621a0a503ded node_type=claim\nt=0026 ASSERT_ROOT node=n_7c15c46fee89 value=FALSE\nt=0027 ADD_EDGE edge_id=e_573ae24f08d8 source=n_5b3075c7fd64 edge_type=supports target=n_630437342dcd\nt=0028 ADD_EDGE edge_id=e_3c88f34a4b61 source=n_6e3e5c58be3a edge_type=supports target=n_b22f5ff08cc0\nt=0029 ADD_EDGE edge_id=e_6eb39694ac11 source=n_7f51f34c05af edge_type=refutes target=n_9c444085c60b\nt=0030 ADD_EDGE edge_id=e_c605ee0b136f source=n_9c444085c60b edge_type=supports target=n_eb408733008e\nt=0031 ADD_EDGE edge_id=e_97b933cb932a source=n_e5615c0af382 edge_type=refutes target=n_315ad672ba47\nt=0032 ADD_EDGE edge_id=e_968c746c4bc0 source=n_c7c73fba30d4 edge_type=supports target=n_e5615c0af382\nt=0033 ADD_EDGE edge_id=e_c56f8dd367c2 source=n_7c15c46fee89 edge_type=refutes target=n_43d5ca407a0b\nt=0034 ADD_EDGE edge_id=e_2522c0ab562e source=n_315ad672ba47 edge_type=supports target=n_9f6f1c1f118a\nt=0035 ADD_EDGE edge_id=e_82b29854ec1e source=n_6e3e5c58be3a edge_type=refutes target=n_6b4b77d353ba\nt=0036 ADD_EDGE edge_id=e_90993b6cc129 source=n_6e3e5c58be3a edge_type=refutes target=n_9fceef24c032\nt=0037 ADD_EDGE edge_id=e_3a4d2789c28a source=n_076486099728 edge_type=supports target=n_621a0a503ded\nt=0038 ADD_EDGE edge_id=e_abd567a11342 source=n_315ad672ba47 edge_type=refutes target=n_07ee03c95df6\nt=0039 ADD_EDGE edge_id=e_db79e9308115 source=n_7c15c46fee89 edge_type=supports target=n_c7c73fba30d4\nt=0040 ADD_EDGE edge_id=e_c3a45a4c0a66 source=n_982743f3c178 edge_type=supports target=n_62052481b82a\nt=0041 ADD_EDGE edge_id=e_2a341e930323 source=n_9c444085c60b edge_type=refutes target=n_5b3075c7fd64\nt=0042 ADD_EDGE edge_id=e_daac451e2550 source=n_161212034477 edge_type=refutes target=n_62ec8bc92d6c\nt=0043 ADD_EDGE edge_id=e_0488e62a3bd0 source=n_6e3e5c58be3a edge_type=refutes target=n_07afd120f3b8\nt=0044 ADD_EDGE edge_id=e_71a913a0751f source=n_6e3e5c58be3a edge_type=supports target=n_161212034477\nt=0045 ADD_EDGE edge_id=e_4dd9d1dfce7a source=n_07afd120f3b8 edge_type=refutes target=n_a83b355e5207\nt=0046 ADD_EDGE edge_id=e_0afe4ed04aac source=n_7f51f34c05af edge_type=refutes target=n_1dbf7e72de00\nt=0047 ADD_EDGE edge_id=e_97509159be34 source=n_9f6f1c1f118a edge_type=supports target=n_7f51f34c05af\nt=0048 ADD_EDGE edge_id=e_50831487963e source=n_982743f3c178 edge_type=supports target=n_6e3e5c58be3a\nt=0049 ADD_EDGE edge_id=e_cc6c3adc3b92 source=n_62052481b82a edge_type=refutes target=n_076486099728\nt=0050 ADD_EDGE edge_id=e_845160a80ce4 source=n_6e3e5c58be3a edge_type=supports target=n_5d67392ce8a4\nt=0051 QUERY source=n_7c15c46fee89 target=n_630437342dcd\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2469,"provenance":{"base_record_id":"train-d08-042","dataset":"livegraph-deterministic-parity-v3","depth":8,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d08-042","split":"train","variant":"clean"},"record_seed":438892113995490792,"render_sha256":"3adcbcb903bf75c983af4c8ac8101682c5e9c921090ae6497d531aa04375227d","representation":"linear_trace","semantic_sha256":"d62a657b451f8b886f3fc7407108e74b6d8351608a1f12167aaed2d2e1f8a4b9"}
{"char_count":4467,"item_id":"train-d08-043::linear_trace","label":"FALSE","lexical_token_proxy_count":764,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_be2b116f36c3 node_type=claim\nt=0001 CREATE_NODE id=n_e2b2b4313006 node_type=claim\nt=0002 CREATE_NODE id=n_7e2605998502 node_type=claim\nt=0003 CREATE_NODE id=n_f2868f702eb2 node_type=claim\nt=0004 CREATE_NODE id=n_0c71f81d1650 node_type=claim\nt=0005 CREATE_NODE id=n_3cff4104cec7 node_type=claim\nt=0006 CREATE_NODE id=n_83b86b60284b node_type=claim\nt=0007 CREATE_NODE id=n_09dd0b8273be node_type=claim\nt=0008 CREATE_NODE id=n_679911592435 node_type=claim\nt=0009 CREATE_NODE id=n_30fdfe056fd5 node_type=claim\nt=0010 CREATE_NODE id=n_550951dcbc72 node_type=claim\nt=0011 CREATE_NODE id=n_b8ce033251b9 node_type=claim\nt=0012 CREATE_NODE id=n_385135c298e6 node_type=claim\nt=0013 CREATE_NODE id=n_ec0deeb5500d node_type=claim\nt=0014 CREATE_NODE id=n_377b78ab4b9a node_type=claim\nt=0015 CREATE_NODE id=n_eb5a7c701279 node_type=claim\nt=0016 CREATE_NODE id=n_efeffa9b39ae node_type=claim\nt=0017 CREATE_NODE id=n_154aeb62d38b node_type=claim\nt=0018 CREATE_NODE id=n_9e5369ca2703 node_type=claim\nt=0019 CREATE_NODE id=n_c3034f7d6df6 node_type=claim\nt=0020 CREATE_NODE id=n_e057c35921d8 node_type=claim\nt=0021 CREATE_NODE id=n_2d0b8dcbdc9e node_type=claim\nt=0022 CREATE_NODE id=n_a15181f50fce node_type=claim\nt=0023 CREATE_NODE id=n_2f11f1877f64 node_type=claim\nt=0024 CREATE_NODE id=n_cc89b5bc61f9 node_type=claim\nt=0025 CREATE_NODE id=n_3d10d2134b69 node_type=claim\nt=0026 ASSERT_ROOT node=n_3d10d2134b69 value=FALSE\nt=0027 ADD_EDGE edge_id=e_8f0f6e846fbb source=n_0c71f81d1650 edge_type=refutes target=n_9e5369ca2703\nt=0028 ADD_EDGE edge_id=e_9e25b34fb7f3 source=n_a15181f50fce edge_type=supports target=n_cc89b5bc61f9\nt=0029 ADD_EDGE edge_id=e_90b5aa951ac3 source=n_a15181f50fce edge_type=refutes target=n_2f11f1877f64\nt=0030 ADD_EDGE edge_id=e_caa87dcb61be source=n_c3034f7d6df6 edge_type=refutes target=n_eb5a7c701279\nt=0031 ADD_EDGE edge_id=e_52c3bbffab7b source=n_cc89b5bc61f9 edge_type=supports target=n_0c71f81d1650\nt=0032 ADD_EDGE edge_id=e_6d564024e0e1 source=n_e2b2b4313006 edge_type=supports target=n_c3034f7d6df6\nt=0033 ADD_EDGE edge_id=e_7715f095e42e source=n_30fdfe056fd5 edge_type=refutes target=n_f2868f702eb2\nt=0034 ADD_EDGE edge_id=e_6701013bb2f4 source=n_f2868f702eb2 edge_type=refutes target=n_e2b2b4313006\nt=0035 ADD_EDGE edge_id=e_2d870f0834c6 source=n_eb5a7c701279 edge_type=refutes target=n_e057c35921d8\nt=0036 ADD_EDGE edge_id=e_e128de6d2aa9 source=n_a15181f50fce edge_type=refutes target=n_09dd0b8273be\nt=0037 ADD_EDGE edge_id=e_df4045483dad source=n_83b86b60284b edge_type=supports target=n_a15181f50fce\nt=0038 ADD_EDGE edge_id=e_5b5e7715fbb8 source=n_30fdfe056fd5 edge_type=refutes target=n_154aeb62d38b\nt=0039 ADD_EDGE edge_id=e_9bb8b51625f8 source=n_e057c35921d8 edge_type=supports target=n_2d0b8dcbdc9e\nt=0040 ADD_EDGE edge_id=e_1f950ce8d04c source=n_0c71f81d1650 edge_type=supports target=n_b8ce033251b9\nt=0041 ADD_EDGE edge_id=e_1a3b541a63fa source=n_3d10d2134b69 edge_type=refutes target=n_30fdfe056fd5\nt=0042 ADD_EDGE edge_id=e_bc3a7a7f1c8f source=n_a15181f50fce edge_type=supports target=n_679911592435\nt=0043 ADD_EDGE edge_id=e_6d24e6b48efd source=n_30fdfe056fd5 edge_type=refutes target=n_3cff4104cec7\nt=0044 ADD_EDGE edge_id=e_5ee2684784d5 source=n_83b86b60284b edge_type=supports target=n_377b78ab4b9a\nt=0045 ADD_EDGE edge_id=e_535a175a8eec source=n_83b86b60284b edge_type=supports target=n_be2b116f36c3\nt=0046 ADD_EDGE edge_id=e_f73faae0e9ad source=n_f2868f702eb2 edge_type=supports target=n_385135c298e6\nt=0047 ADD_EDGE edge_id=e_cd6e12801be1 source=n_e2b2b4313006 edge_type=refutes target=n_550951dcbc72\nt=0048 ADD_EDGE edge_id=e_4472aaefd980 source=n_2d0b8dcbdc9e edge_type=refutes target=n_efeffa9b39ae\nt=0049 ADD_EDGE edge_id=e_efefbd04bc59 source=n_2f11f1877f64 edge_type=supports target=n_7e2605998502\nt=0050 ADD_EDGE edge_id=e_806d5915bcff source=n_7e2605998502 edge_type=supports target=n_ec0deeb5500d\nt=0051 QUERY source=n_3d10d2134b69 target=n_efeffa9b39ae\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2455,"provenance":{"base_record_id":"train-d08-043","dataset":"livegraph-deterministic-parity-v3","depth":8,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d08-043","split":"train","variant":"clean"},"record_seed":494607544754379860,"render_sha256":"efec3aab8fae66b0d6d2de8b29ba183d13a6d45f9c70f41954e27fe140082107","representation":"linear_trace","semantic_sha256":"f2c3e54b004d02b9430dcbcfce9d0a20bbf413db43e218f95483668b5eee92c9"}
{"char_count":4466,"item_id":"train-d08-044::linear_trace","label":"TRUE","lexical_token_proxy_count":764,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_a79e9b01d96e node_type=claim\nt=0001 CREATE_NODE id=n_b6ddcea553d0 node_type=claim\nt=0002 CREATE_NODE id=n_38a1e1735d2b node_type=claim\nt=0003 CREATE_NODE id=n_5fa5d79c6107 node_type=claim\nt=0004 CREATE_NODE id=n_2ca661092440 node_type=claim\nt=0005 CREATE_NODE id=n_c82ad92c0c61 node_type=claim\nt=0006 CREATE_NODE id=n_fb60c3260e84 node_type=claim\nt=0007 CREATE_NODE id=n_30379e7f4864 node_type=claim\nt=0008 CREATE_NODE id=n_b5c5b3ef1671 node_type=claim\nt=0009 CREATE_NODE id=n_33c6b4e768a8 node_type=claim\nt=0010 CREATE_NODE id=n_2fba4696e44b node_type=claim\nt=0011 CREATE_NODE id=n_d06bbf8f7cd8 node_type=claim\nt=0012 CREATE_NODE id=n_14b7a94e49a1 node_type=claim\nt=0013 CREATE_NODE id=n_8cd131d639c6 node_type=claim\nt=0014 CREATE_NODE id=n_ee874da19ca6 node_type=claim\nt=0015 CREATE_NODE id=n_e155d3c03b7b node_type=claim\nt=0016 CREATE_NODE id=n_05c661ff753e node_type=claim\nt=0017 CREATE_NODE id=n_e049a92e096b node_type=claim\nt=0018 CREATE_NODE id=n_68b218361f4e node_type=claim\nt=0019 CREATE_NODE id=n_0d70657f8f17 node_type=claim\nt=0020 CREATE_NODE id=n_8b3da4381fe7 node_type=claim\nt=0021 CREATE_NODE id=n_3cb50635dfb3 node_type=claim\nt=0022 CREATE_NODE id=n_429223bf2f06 node_type=claim\nt=0023 CREATE_NODE id=n_9be241f57e75 node_type=claim\nt=0024 CREATE_NODE id=n_98441f47c99c node_type=claim\nt=0025 CREATE_NODE id=n_d589e4c7e08a node_type=claim\nt=0026 ASSERT_ROOT node=n_429223bf2f06 value=TRUE\nt=0027 ADD_EDGE edge_id=e_d055011bf136 source=n_b5c5b3ef1671 edge_type=supports target=n_a79e9b01d96e\nt=0028 ADD_EDGE edge_id=e_25dec44a1b01 source=n_05c661ff753e edge_type=supports target=n_38a1e1735d2b\nt=0029 ADD_EDGE edge_id=e_aae87be81ca7 source=n_8cd131d639c6 edge_type=refutes target=n_5fa5d79c6107\nt=0030 ADD_EDGE edge_id=e_f3e124eacc7a source=n_98441f47c99c edge_type=supports target=n_d06bbf8f7cd8\nt=0031 ADD_EDGE edge_id=e_543d3a276a12 source=n_429223bf2f06 edge_type=refutes target=n_30379e7f4864\nt=0032 ADD_EDGE edge_id=e_ce366372d7b9 source=n_b6ddcea553d0 edge_type=refutes target=n_c82ad92c0c61\nt=0033 ADD_EDGE edge_id=e_02445e30fb26 source=n_b6ddcea553d0 edge_type=supports target=n_8b3da4381fe7\nt=0034 ADD_EDGE edge_id=e_5cd35d4f790b source=n_33c6b4e768a8 edge_type=refutes target=n_ee874da19ca6\nt=0035 ADD_EDGE edge_id=e_e7e16d8d3cbd source=n_5fa5d79c6107 edge_type=supports target=n_68b218361f4e\nt=0036 ADD_EDGE edge_id=e_2b7c7f62a7c7 source=n_05c661ff753e edge_type=supports target=n_b6ddcea553d0\nt=0037 ADD_EDGE edge_id=e_5c533f6ae133 source=n_98441f47c99c edge_type=supports target=n_2fba4696e44b\nt=0038 ADD_EDGE edge_id=e_6a1ba0b79fe2 source=n_b6ddcea553d0 edge_type=refutes target=n_fb60c3260e84\nt=0039 ADD_EDGE edge_id=e_712f8b23f357 source=n_68b218361f4e edge_type=refutes target=n_14b7a94e49a1\nt=0040 ADD_EDGE edge_id=e_5b35433fb206 source=n_05c661ff753e edge_type=supports target=n_8cd131d639c6\nt=0041 ADD_EDGE edge_id=e_ed66e67b6b20 source=n_e049a92e096b edge_type=refutes target=n_b5c5b3ef1671\nt=0042 ADD_EDGE edge_id=e_382401a243fc source=n_9be241f57e75 edge_type=supports target=n_3cb50635dfb3\nt=0043 ADD_EDGE edge_id=e_9ab3b8424939 source=n_b5c5b3ef1671 edge_type=refutes target=n_0d70657f8f17\nt=0044 ADD_EDGE edge_id=e_b913300a955f source=n_d06bbf8f7cd8 edge_type=refutes target=n_e049a92e096b\nt=0045 ADD_EDGE edge_id=e_e00d73437e2d source=n_9be241f57e75 edge_type=refutes target=n_05c661ff753e\nt=0046 ADD_EDGE edge_id=e_702126f85103 source=n_8b3da4381fe7 edge_type=supports target=n_e155d3c03b7b\nt=0047 ADD_EDGE edge_id=e_d159e0f591f1 source=n_ee874da19ca6 edge_type=refutes target=n_98441f47c99c\nt=0048 ADD_EDGE edge_id=e_d460eee672b1 source=n_ee874da19ca6 edge_type=supports target=n_d589e4c7e08a\nt=0049 ADD_EDGE edge_id=e_90d17d90c88b source=n_d06bbf8f7cd8 edge_type=refutes target=n_2ca661092440\nt=0050 ADD_EDGE edge_id=e_ae0ea31da67f source=n_30379e7f4864 edge_type=supports target=n_33c6b4e768a8\nt=0051 QUERY source=n_429223bf2f06 target=n_0d70657f8f17\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2478,"provenance":{"base_record_id":"train-d08-044","dataset":"livegraph-deterministic-parity-v3","depth":8,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d08-044","split":"train","variant":"clean"},"record_seed":1044985503122886127,"render_sha256":"a5cc8210587774a2b4023ce825696ff54f216fca5e75b2640fda8c1ed5a0c94e","representation":"linear_trace","semantic_sha256":"6b8b65abc6706c92b92f23f993fbf29ab2a0c9002ea1721944e7ee2566b9bc06"}
{"char_count":4466,"item_id":"train-d08-045::linear_trace","label":"FALSE","lexical_token_proxy_count":764,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_945d11096cd1 node_type=claim\nt=0001 CREATE_NODE id=n_cb4a75aa780e node_type=claim\nt=0002 CREATE_NODE id=n_82453c5dfc43 node_type=claim\nt=0003 CREATE_NODE id=n_4a8d360a4d24 node_type=claim\nt=0004 CREATE_NODE id=n_179ac777d8aa node_type=claim\nt=0005 CREATE_NODE id=n_2292fd6f40a2 node_type=claim\nt=0006 CREATE_NODE id=n_f15d3458f085 node_type=claim\nt=0007 CREATE_NODE id=n_6592ceb7f111 node_type=claim\nt=0008 CREATE_NODE id=n_e263643d0158 node_type=claim\nt=0009 CREATE_NODE id=n_81eee75f4758 node_type=claim\nt=0010 CREATE_NODE id=n_5de4c4cefe88 node_type=claim\nt=0011 CREATE_NODE id=n_aa9865b0b43c node_type=claim\nt=0012 CREATE_NODE id=n_fe39238395e6 node_type=claim\nt=0013 CREATE_NODE id=n_9d57b37998b4 node_type=claim\nt=0014 CREATE_NODE id=n_1661b2972a5f node_type=claim\nt=0015 CREATE_NODE id=n_f2fc822ad3c2 node_type=claim\nt=0016 CREATE_NODE id=n_2825d8cbb7ed node_type=claim\nt=0017 CREATE_NODE id=n_4b6fa99b3ec5 node_type=claim\nt=0018 CREATE_NODE id=n_b896b4d8fca1 node_type=claim\nt=0019 CREATE_NODE id=n_a8f587043e01 node_type=claim\nt=0020 CREATE_NODE id=n_1408dc1a2051 node_type=claim\nt=0021 CREATE_NODE id=n_29e72d9a3cc6 node_type=claim\nt=0022 CREATE_NODE id=n_63e742c85578 node_type=claim\nt=0023 CREATE_NODE id=n_11e7ae5e2394 node_type=claim\nt=0024 CREATE_NODE id=n_ad6eaad4e374 node_type=claim\nt=0025 CREATE_NODE id=n_5286d3a98f9e node_type=claim\nt=0026 ASSERT_ROOT node=n_aa9865b0b43c value=TRUE\nt=0027 ADD_EDGE edge_id=e_f25db4a0171f source=n_945d11096cd1 edge_type=refutes target=n_4a8d360a4d24\nt=0028 ADD_EDGE edge_id=e_1a4b19aff6be source=n_9d57b37998b4 edge_type=supports target=n_b896b4d8fca1\nt=0029 ADD_EDGE edge_id=e_3ef8ae560000 source=n_aa9865b0b43c edge_type=supports target=n_6592ceb7f111\nt=0030 ADD_EDGE edge_id=e_21d78d02773a source=n_945d11096cd1 edge_type=refutes target=n_2292fd6f40a2\nt=0031 ADD_EDGE edge_id=e_a1e242a2a299 source=n_1661b2972a5f edge_type=supports target=n_82453c5dfc43\nt=0032 ADD_EDGE edge_id=e_656e32f10c4c source=n_4b6fa99b3ec5 edge_type=refutes target=n_f2fc822ad3c2\nt=0033 ADD_EDGE edge_id=e_af0158419f13 source=n_5286d3a98f9e edge_type=supports target=n_2825d8cbb7ed\nt=0034 ADD_EDGE edge_id=e_2a47e997dcf4 source=n_b896b4d8fca1 edge_type=supports target=n_29e72d9a3cc6\nt=0035 ADD_EDGE edge_id=e_73195b061596 source=n_82453c5dfc43 edge_type=refutes target=n_f15d3458f085\nt=0036 ADD_EDGE edge_id=e_2e1bc5ed083c source=n_1408dc1a2051 edge_type=refutes target=n_fe39238395e6\nt=0037 ADD_EDGE edge_id=e_a9a92db3891d source=n_ad6eaad4e374 edge_type=supports target=n_e263643d0158\nt=0038 ADD_EDGE edge_id=e_47a57f9516f1 source=n_945d11096cd1 edge_type=refutes target=n_5286d3a98f9e\nt=0039 ADD_EDGE edge_id=e_f753adc79685 source=n_aa9865b0b43c edge_type=refutes target=n_ad6eaad4e374\nt=0040 ADD_EDGE edge_id=e_cba6f55bdf11 source=n_5de4c4cefe88 edge_type=refutes target=n_179ac777d8aa\nt=0041 ADD_EDGE edge_id=e_20a0178537f8 source=n_4a8d360a4d24 edge_type=supports target=n_11e7ae5e2394\nt=0042 ADD_EDGE edge_id=e_7c9fede91f5e source=n_4b6fa99b3ec5 edge_type=supports target=n_1408dc1a2051\nt=0043 ADD_EDGE edge_id=e_ad0718a925da source=n_4a8d360a4d24 edge_type=supports target=n_5de4c4cefe88\nt=0044 ADD_EDGE edge_id=e_40ec63dd4218 source=n_4a8d360a4d24 edge_type=supports target=n_1661b2972a5f\nt=0045 ADD_EDGE edge_id=e_94cb0450bd09 source=n_29e72d9a3cc6 edge_type=refutes target=n_4b6fa99b3ec5\nt=0046 ADD_EDGE edge_id=e_b80154b8a4e4 source=n_e263643d0158 edge_type=refutes target=n_cb4a75aa780e\nt=0047 ADD_EDGE edge_id=e_1829000c6ef4 source=n_5de4c4cefe88 edge_type=supports target=n_81eee75f4758\nt=0048 ADD_EDGE edge_id=e_a9c353e8f977 source=n_4a8d360a4d24 edge_type=refutes target=n_63e742c85578\nt=0049 ADD_EDGE edge_id=e_5d49d71df29b source=n_aa9865b0b43c edge_type=refutes target=n_a8f587043e01\nt=0050 ADD_EDGE edge_id=e_2bfb1c341a45 source=n_e263643d0158 edge_type=supports target=n_9d57b37998b4\nt=0051 QUERY source=n_aa9865b0b43c target=n_fe39238395e6\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2472,"provenance":{"base_record_id":"train-d08-045","dataset":"livegraph-deterministic-parity-v3","depth":8,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d08-045","split":"train","variant":"clean"},"record_seed":1138532614326202623,"render_sha256":"45ff7b07efa27a11432ea85ddce48bf65f9f38bcd1ba0e32a09a7868bf812e5a","representation":"linear_trace","semantic_sha256":"e352d91baf1543c863e4d22fcbcb95a259a1abd105615306f300699ba7445ac3"}
{"char_count":4467,"item_id":"train-d08-046::linear_trace","label":"TRUE","lexical_token_proxy_count":764,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_51b8e1b77bda node_type=claim\nt=0001 CREATE_NODE id=n_61876358fe19 node_type=claim\nt=0002 CREATE_NODE id=n_4465b3c185f3 node_type=claim\nt=0003 CREATE_NODE id=n_699743f6c920 node_type=claim\nt=0004 CREATE_NODE id=n_66abe0c29342 node_type=claim\nt=0005 CREATE_NODE id=n_a56ccc61c7e3 node_type=claim\nt=0006 CREATE_NODE id=n_447375e9a9bc node_type=claim\nt=0007 CREATE_NODE id=n_fdf26267401e node_type=claim\nt=0008 CREATE_NODE id=n_7e1c5e2d5c75 node_type=claim\nt=0009 CREATE_NODE id=n_9f54ae70fcde node_type=claim\nt=0010 CREATE_NODE id=n_25ea25d87462 node_type=claim\nt=0011 CREATE_NODE id=n_b844e5f20f1d node_type=claim\nt=0012 CREATE_NODE id=n_67aae032152e node_type=claim\nt=0013 CREATE_NODE id=n_7036c31f4b49 node_type=claim\nt=0014 CREATE_NODE id=n_735e8b6f77ba node_type=claim\nt=0015 CREATE_NODE id=n_8cd689929d74 node_type=claim\nt=0016 CREATE_NODE id=n_1508e83db090 node_type=claim\nt=0017 CREATE_NODE id=n_6c5ee553e715 node_type=claim\nt=0018 CREATE_NODE id=n_f27dc23f4f38 node_type=claim\nt=0019 CREATE_NODE id=n_4d22e0f91273 node_type=claim\nt=0020 CREATE_NODE id=n_4ca3dba7a4e9 node_type=claim\nt=0021 CREATE_NODE id=n_07ec266baf11 node_type=claim\nt=0022 CREATE_NODE id=n_2769dfdcb28a node_type=claim\nt=0023 CREATE_NODE id=n_114ab22950d0 node_type=claim\nt=0024 CREATE_NODE id=n_5b4f1293daa7 node_type=claim\nt=0025 CREATE_NODE id=n_05f92443c45d node_type=claim\nt=0026 ASSERT_ROOT node=n_7e1c5e2d5c75 value=FALSE\nt=0027 ADD_EDGE edge_id=e_a95b1eee94a9 source=n_66abe0c29342 edge_type=refutes target=n_fdf26267401e\nt=0028 ADD_EDGE edge_id=e_f4509763a7e9 source=n_735e8b6f77ba edge_type=refutes target=n_05f92443c45d\nt=0029 ADD_EDGE edge_id=e_a612faae94d8 source=n_7036c31f4b49 edge_type=refutes target=n_61876358fe19\nt=0030 ADD_EDGE edge_id=e_f3d46a5ce972 source=n_b844e5f20f1d edge_type=refutes target=n_1508e83db090\nt=0031 ADD_EDGE edge_id=e_bff2f397882f source=n_7e1c5e2d5c75 edge_type=supports target=n_4465b3c185f3\nt=0032 ADD_EDGE edge_id=e_493dff489a3c source=n_699743f6c920 edge_type=refutes target=n_8cd689929d74\nt=0033 ADD_EDGE edge_id=e_744fafdea404 source=n_447375e9a9bc edge_type=supports target=n_735e8b6f77ba\nt=0034 ADD_EDGE edge_id=e_ff05dc088f97 source=n_7e1c5e2d5c75 edge_type=supports target=n_67aae032152e\nt=0035 ADD_EDGE edge_id=e_6b30ef526d8d source=n_05f92443c45d edge_type=refutes target=n_9f54ae70fcde\nt=0036 ADD_EDGE edge_id=e_389c6239750a source=n_66abe0c29342 edge_type=refutes target=n_2769dfdcb28a\nt=0037 ADD_EDGE edge_id=e_e3af862505b4 source=n_b844e5f20f1d edge_type=refutes target=n_447375e9a9bc\nt=0038 ADD_EDGE edge_id=e_38531149438c source=n_7036c31f4b49 edge_type=supports target=n_25ea25d87462\nt=0039 ADD_EDGE edge_id=e_0eda8c2d44aa source=n_7036c31f4b49 edge_type=supports target=n_6c5ee553e715\nt=0040 ADD_EDGE edge_id=e_c877889f1ba1 source=n_7036c31f4b49 edge_type=supports target=n_51b8e1b77bda\nt=0041 ADD_EDGE edge_id=e_0105f86e422e source=n_67aae032152e edge_type=supports target=n_66abe0c29342\nt=0042 ADD_EDGE edge_id=e_7b04cfed78b1 source=n_07ec266baf11 edge_type=refutes target=n_114ab22950d0\nt=0043 ADD_EDGE edge_id=e_ca479d425db8 source=n_699743f6c920 edge_type=supports target=n_4d22e0f91273\nt=0044 ADD_EDGE edge_id=e_ac04c99f27c6 source=n_699743f6c920 edge_type=supports target=n_7036c31f4b49\nt=0045 ADD_EDGE edge_id=e_d248af9456c2 source=n_6c5ee553e715 edge_type=refutes target=n_a56ccc61c7e3\nt=0046 ADD_EDGE edge_id=e_08e85ac580c2 source=n_fdf26267401e edge_type=refutes target=n_b844e5f20f1d\nt=0047 ADD_EDGE edge_id=e_951f0f336779 source=n_4d22e0f91273 edge_type=supports target=n_07ec266baf11\nt=0048 ADD_EDGE edge_id=e_19a8a9a971a9 source=n_699743f6c920 edge_type=supports target=n_4ca3dba7a4e9\nt=0049 ADD_EDGE edge_id=e_cb194a0a7c05 source=n_4d22e0f91273 edge_type=refutes target=n_f27dc23f4f38\nt=0050 ADD_EDGE edge_id=e_0289a46c0bdf source=n_67aae032152e edge_type=supports target=n_5b4f1293daa7\nt=0051 QUERY source=n_7e1c5e2d5c75 target=n_9f54ae70fcde\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2478,"provenance":{"base_record_id":"train-d08-046","dataset":"livegraph-deterministic-parity-v3","depth":8,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d08-046","split":"train","variant":"clean"},"record_seed":28260368490574844,"render_sha256":"45438e0efdc25a0e177643c69cb91823f838d6164f96d6df6587411293daba51","representation":"linear_trace","semantic_sha256":"dc37567f2ae34dafc100d4fffc41e0a84e2d58cb19b7f72d5bc88e04791e73e8"}
{"char_count":4467,"item_id":"train-d08-047::linear_trace","label":"FALSE","lexical_token_proxy_count":764,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_e92fec978cf5 node_type=claim\nt=0001 CREATE_NODE id=n_f67c709b6fc5 node_type=claim\nt=0002 CREATE_NODE id=n_0591f4ebb4aa node_type=claim\nt=0003 CREATE_NODE id=n_7da86d283da3 node_type=claim\nt=0004 CREATE_NODE id=n_71881a534d71 node_type=claim\nt=0005 CREATE_NODE id=n_1def708f9bb6 node_type=claim\nt=0006 CREATE_NODE id=n_20e8c862c9d5 node_type=claim\nt=0007 CREATE_NODE id=n_108003ff2afe node_type=claim\nt=0008 CREATE_NODE id=n_2d7ca8af9d22 node_type=claim\nt=0009 CREATE_NODE id=n_61494ff6dbb8 node_type=claim\nt=0010 CREATE_NODE id=n_206c53d3f46c node_type=claim\nt=0011 CREATE_NODE id=n_a36482e33c33 node_type=claim\nt=0012 CREATE_NODE id=n_464486b0dd99 node_type=claim\nt=0013 CREATE_NODE id=n_38c5c7bd1bf3 node_type=claim\nt=0014 CREATE_NODE id=n_9d0f19b4e2d1 node_type=claim\nt=0015 CREATE_NODE id=n_a9fb3eda73d0 node_type=claim\nt=0016 CREATE_NODE id=n_abfca30b2bc1 node_type=claim\nt=0017 CREATE_NODE id=n_839c3dd8402e node_type=claim\nt=0018 CREATE_NODE id=n_8600da8564eb node_type=claim\nt=0019 CREATE_NODE id=n_18da19dc6017 node_type=claim\nt=0020 CREATE_NODE id=n_550c15591252 node_type=claim\nt=0021 CREATE_NODE id=n_222550ad8a54 node_type=claim\nt=0022 CREATE_NODE id=n_f67441e60cea node_type=claim\nt=0023 CREATE_NODE id=n_465be5a451f4 node_type=claim\nt=0024 CREATE_NODE id=n_8fbbbfee747b node_type=claim\nt=0025 CREATE_NODE id=n_b3191ce66c7d node_type=claim\nt=0026 ASSERT_ROOT node=n_e92fec978cf5 value=FALSE\nt=0027 ADD_EDGE edge_id=e_337ee55e8320 source=n_8fbbbfee747b edge_type=supports target=n_b3191ce66c7d\nt=0028 ADD_EDGE edge_id=e_ee1584dd6f9d source=n_b3191ce66c7d edge_type=refutes target=n_7da86d283da3\nt=0029 ADD_EDGE edge_id=e_6ba86a532fe1 source=n_abfca30b2bc1 edge_type=refutes target=n_206c53d3f46c\nt=0030 ADD_EDGE edge_id=e_63a6cf5ea2c1 source=n_2d7ca8af9d22 edge_type=supports target=n_abfca30b2bc1\nt=0031 ADD_EDGE edge_id=e_1fdf966e3e65 source=n_61494ff6dbb8 edge_type=refutes target=n_a9fb3eda73d0\nt=0032 ADD_EDGE edge_id=e_8edd6e226ecb source=n_18da19dc6017 edge_type=refutes target=n_20e8c862c9d5\nt=0033 ADD_EDGE edge_id=e_2050aa115685 source=n_9d0f19b4e2d1 edge_type=supports target=n_0591f4ebb4aa\nt=0034 ADD_EDGE edge_id=e_e1792af277a2 source=n_8fbbbfee747b edge_type=supports target=n_222550ad8a54\nt=0035 ADD_EDGE edge_id=e_5b6b2a116860 source=n_108003ff2afe edge_type=refutes target=n_464486b0dd99\nt=0036 ADD_EDGE edge_id=e_b9bdd5d97831 source=n_b3191ce66c7d edge_type=supports target=n_8600da8564eb\nt=0037 ADD_EDGE edge_id=e_40b8c39c9c2d source=n_465be5a451f4 edge_type=refutes target=n_61494ff6dbb8\nt=0038 ADD_EDGE edge_id=e_223c6c055d8d source=n_f67c709b6fc5 edge_type=supports target=n_18da19dc6017\nt=0039 ADD_EDGE edge_id=e_dd556c488a02 source=n_71881a534d71 edge_type=refutes target=n_9d0f19b4e2d1\nt=0040 ADD_EDGE edge_id=e_e7da55080bd9 source=n_108003ff2afe edge_type=refutes target=n_a36482e33c33\nt=0041 ADD_EDGE edge_id=e_dcc1065d4984 source=n_7da86d283da3 edge_type=supports target=n_108003ff2afe\nt=0042 ADD_EDGE edge_id=e_753a159cfc29 source=n_18da19dc6017 edge_type=supports target=n_550c15591252\nt=0043 ADD_EDGE edge_id=e_09ec1cc940c6 source=n_e92fec978cf5 edge_type=supports target=n_465be5a451f4\nt=0044 ADD_EDGE edge_id=e_045d5a34a5df source=n_b3191ce66c7d edge_type=refutes target=n_f67441e60cea\nt=0045 ADD_EDGE edge_id=e_1252854d712f source=n_f67c709b6fc5 edge_type=supports target=n_2d7ca8af9d22\nt=0046 ADD_EDGE edge_id=e_3fafc9dca321 source=n_2d7ca8af9d22 edge_type=refutes target=n_839c3dd8402e\nt=0047 ADD_EDGE edge_id=e_1d587647a7a7 source=n_550c15591252 edge_type=supports target=n_71881a534d71\nt=0048 ADD_EDGE edge_id=e_6fead2a9c53b source=n_a9fb3eda73d0 edge_type=supports target=n_8fbbbfee747b\nt=0049 ADD_EDGE edge_id=e_4069f35f1225 source=n_38c5c7bd1bf3 edge_type=refutes target=n_f67c709b6fc5\nt=0050 ADD_EDGE edge_id=e_7bb27457a336 source=n_38c5c7bd1bf3 edge_type=refutes target=n_1def708f9bb6\nt=0051 QUERY source=n_e92fec978cf5 target=n_a36482e33c33\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2423,"provenance":{"base_record_id":"train-d08-047","dataset":"livegraph-deterministic-parity-v3","depth":8,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d08-047","split":"train","variant":"clean"},"record_seed":49253288687833353,"render_sha256":"b2ddce4369579640ee1afad1ace4e298f05f11b79b82d2872732e7d5edba90af","representation":"linear_trace","semantic_sha256":"82e45e6de4bc97a5a2f05b60fb251c91b934f44c3cc1677e26e0f6afff8c23da"}
{"char_count":4775,"item_id":"train-d09-000::linear_trace","label":"TRUE","lexical_token_proxy_count":816,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_73cdda00c3d3 node_type=claim\nt=0001 CREATE_NODE id=n_eb6fea498143 node_type=claim\nt=0002 CREATE_NODE id=n_041d5c8b2650 node_type=claim\nt=0003 CREATE_NODE id=n_4e2ba59caa40 node_type=claim\nt=0004 CREATE_NODE id=n_5375467283ac node_type=claim\nt=0005 CREATE_NODE id=n_1d9709b6e1b8 node_type=claim\nt=0006 CREATE_NODE id=n_e412b02bf663 node_type=claim\nt=0007 CREATE_NODE id=n_87286081a1f8 node_type=claim\nt=0008 CREATE_NODE id=n_51a80e0d4169 node_type=claim\nt=0009 CREATE_NODE id=n_749076bbe745 node_type=claim\nt=0010 CREATE_NODE id=n_249e32b74506 node_type=claim\nt=0011 CREATE_NODE id=n_697beb0e202a node_type=claim\nt=0012 CREATE_NODE id=n_24633deab2db node_type=claim\nt=0013 CREATE_NODE id=n_d047a74addc0 node_type=claim\nt=0014 CREATE_NODE id=n_07fde2443397 node_type=claim\nt=0015 CREATE_NODE id=n_3d371fd0bc4a node_type=claim\nt=0016 CREATE_NODE id=n_5dda4b1e7297 node_type=claim\nt=0017 CREATE_NODE id=n_1cbcf8ce53fc node_type=claim\nt=0018 CREATE_NODE id=n_92f02db6f5f4 node_type=claim\nt=0019 CREATE_NODE id=n_bcf3beea431c node_type=claim\nt=0020 CREATE_NODE id=n_fde2b98e4041 node_type=claim\nt=0021 CREATE_NODE id=n_3233711cb114 node_type=claim\nt=0022 CREATE_NODE id=n_6e2e8e794fe2 node_type=claim\nt=0023 CREATE_NODE id=n_85e6b60834db node_type=claim\nt=0024 CREATE_NODE id=n_2e34c53f64d6 node_type=claim\nt=0025 CREATE_NODE id=n_5559b38bdf87 node_type=claim\nt=0026 CREATE_NODE id=n_4cae0e635f9c node_type=claim\nt=0027 CREATE_NODE id=n_8b3361003eb0 node_type=claim\nt=0028 ASSERT_ROOT node=n_8b3361003eb0 value=TRUE\nt=0029 ADD_EDGE edge_id=e_72e06224f20c source=n_85e6b60834db edge_type=supports target=n_87286081a1f8\nt=0030 ADD_EDGE edge_id=e_63ae3ad3d736 source=n_5375467283ac edge_type=supports target=n_24633deab2db\nt=0031 ADD_EDGE edge_id=e_00374b1e8dd2 source=n_4cae0e635f9c edge_type=supports target=n_1cbcf8ce53fc\nt=0032 ADD_EDGE edge_id=e_34c71c6d7d78 source=n_5559b38bdf87 edge_type=refutes target=n_eb6fea498143\nt=0033 ADD_EDGE edge_id=e_7a5fa4bfe44f source=n_3233711cb114 edge_type=supports target=n_51a80e0d4169\nt=0034 ADD_EDGE edge_id=e_13c73dad9e77 source=n_3d371fd0bc4a edge_type=refutes target=n_07fde2443397\nt=0035 ADD_EDGE edge_id=e_c4ae76d372e3 source=n_5559b38bdf87 edge_type=refutes target=n_5375467283ac\nt=0036 ADD_EDGE edge_id=e_f77973f662f7 source=n_5dda4b1e7297 edge_type=supports target=n_92f02db6f5f4\nt=0037 ADD_EDGE edge_id=e_f90436eb6c37 source=n_749076bbe745 edge_type=refutes target=n_e412b02bf663\nt=0038 ADD_EDGE edge_id=e_1e3ae1a92e5f source=n_5559b38bdf87 edge_type=refutes target=n_749076bbe745\nt=0039 ADD_EDGE edge_id=e_18f25f303910 source=n_697beb0e202a edge_type=refutes target=n_5dda4b1e7297\nt=0040 ADD_EDGE edge_id=e_88c98038abba source=n_85e6b60834db edge_type=supports target=n_5559b38bdf87\nt=0041 ADD_EDGE edge_id=e_9025ab6cafa7 source=n_041d5c8b2650 edge_type=refutes target=n_fde2b98e4041\nt=0042 ADD_EDGE edge_id=e_2ef48cb10674 source=n_2e34c53f64d6 edge_type=supports target=n_041d5c8b2650\nt=0043 ADD_EDGE edge_id=e_377e7f50c5fe source=n_85e6b60834db edge_type=refutes target=n_3233711cb114\nt=0044 ADD_EDGE edge_id=e_2a9d522be9ea source=n_5559b38bdf87 edge_type=supports target=n_6e2e8e794fe2\nt=0045 ADD_EDGE edge_id=e_716f1e8a5f6b source=n_5dda4b1e7297 edge_type=supports target=n_2e34c53f64d6\nt=0046 ADD_EDGE edge_id=e_f75fa687a900 source=n_1cbcf8ce53fc edge_type=refutes target=n_3d371fd0bc4a\nt=0047 ADD_EDGE edge_id=e_f2c9b3305906 source=n_8b3361003eb0 edge_type=supports target=n_4cae0e635f9c\nt=0048 ADD_EDGE edge_id=e_d61c291aebe7 source=n_697beb0e202a edge_type=refutes target=n_1d9709b6e1b8\nt=0049 ADD_EDGE edge_id=e_32ab04fd1794 source=n_697beb0e202a edge_type=supports target=n_bcf3beea431c\nt=0050 ADD_EDGE edge_id=e_7a010fc9360f source=n_07fde2443397 edge_type=refutes target=n_d047a74addc0\nt=0051 ADD_EDGE edge_id=e_0dc80a199119 source=n_749076bbe745 edge_type=refutes target=n_73cdda00c3d3\nt=0052 ADD_EDGE edge_id=e_a7ef68b92598 source=n_d047a74addc0 edge_type=supports target=n_697beb0e202a\nt=0053 ADD_EDGE edge_id=e_fb54d5563a85 source=n_3233711cb114 edge_type=supports target=n_4e2ba59caa40\nt=0054 ADD_EDGE edge_id=e_fbbb4fc7ebf7 source=n_5559b38bdf87 edge_type=refutes target=n_249e32b74506\nt=0055 QUERY source=n_8b3361003eb0 target=n_041d5c8b2650\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2623,"provenance":{"base_record_id":"train-d09-000","dataset":"livegraph-deterministic-parity-v3","depth":9,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d09-000","split":"train","variant":"clean"},"record_seed":174162620493478301,"render_sha256":"b97cd657f050d16b108cebcee34c1eb0a73332b8036aad049e89b5962c803e81","representation":"linear_trace","semantic_sha256":"bdbd90746ee7cf2ad90c749d1b31c8e8abb0919cd5003c94caa59fc1e6d9033a"}
{"char_count":4775,"item_id":"train-d09-001::linear_trace","label":"FALSE","lexical_token_proxy_count":816,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_43cec48d39d5 node_type=claim\nt=0001 CREATE_NODE id=n_663c689857c2 node_type=claim\nt=0002 CREATE_NODE id=n_28a2c6f4e6e2 node_type=claim\nt=0003 CREATE_NODE id=n_761872a183d2 node_type=claim\nt=0004 CREATE_NODE id=n_fa0d9b50a730 node_type=claim\nt=0005 CREATE_NODE id=n_a27d1a585ad7 node_type=claim\nt=0006 CREATE_NODE id=n_df23fb0df674 node_type=claim\nt=0007 CREATE_NODE id=n_6acee4dbf6b7 node_type=claim\nt=0008 CREATE_NODE id=n_22b211086cfc node_type=claim\nt=0009 CREATE_NODE id=n_451832451374 node_type=claim\nt=0010 CREATE_NODE id=n_c3c01014c23e node_type=claim\nt=0011 CREATE_NODE id=n_207ab384d9b8 node_type=claim\nt=0012 CREATE_NODE id=n_01cb33d3434b node_type=claim\nt=0013 CREATE_NODE id=n_9fe6360e28f9 node_type=claim\nt=0014 CREATE_NODE id=n_b3e1cac8b3da node_type=claim\nt=0015 CREATE_NODE id=n_d4e622fc0168 node_type=claim\nt=0016 CREATE_NODE id=n_3566406ab69b node_type=claim\nt=0017 CREATE_NODE id=n_559b345bb467 node_type=claim\nt=0018 CREATE_NODE id=n_0fc712b1b61f node_type=claim\nt=0019 CREATE_NODE id=n_a0134592174d node_type=claim\nt=0020 CREATE_NODE id=n_e99a57df20bc node_type=claim\nt=0021 CREATE_NODE id=n_09031d83e48b node_type=claim\nt=0022 CREATE_NODE id=n_0e6fb65d8e71 node_type=claim\nt=0023 CREATE_NODE id=n_2a3e7fc64d7f node_type=claim\nt=0024 CREATE_NODE id=n_cee02b7de525 node_type=claim\nt=0025 CREATE_NODE id=n_3383669118c4 node_type=claim\nt=0026 CREATE_NODE id=n_10ce1911de2d node_type=claim\nt=0027 CREATE_NODE id=n_c360ad4912d2 node_type=claim\nt=0028 ASSERT_ROOT node=n_3566406ab69b value=TRUE\nt=0029 ADD_EDGE edge_id=e_0d16c49e8cc5 source=n_c360ad4912d2 edge_type=supports target=n_01cb33d3434b\nt=0030 ADD_EDGE edge_id=e_2d80acdc1978 source=n_0e6fb65d8e71 edge_type=supports target=n_df23fb0df674\nt=0031 ADD_EDGE edge_id=e_d352d62eb742 source=n_09031d83e48b edge_type=supports target=n_559b345bb467\nt=0032 ADD_EDGE edge_id=e_6c95a9c02247 source=n_3566406ab69b edge_type=refutes target=n_b3e1cac8b3da\nt=0033 ADD_EDGE edge_id=e_41ecb3c867ea source=n_22b211086cfc edge_type=supports target=n_09031d83e48b\nt=0034 ADD_EDGE edge_id=e_04c97c59e046 source=n_b3e1cac8b3da edge_type=refutes target=n_663c689857c2\nt=0035 ADD_EDGE edge_id=e_ab90cbb6c2fd source=n_10ce1911de2d edge_type=refutes target=n_9fe6360e28f9\nt=0036 ADD_EDGE edge_id=e_ab330f529b6b source=n_761872a183d2 edge_type=supports target=n_cee02b7de525\nt=0037 ADD_EDGE edge_id=e_37caa7a952f8 source=n_3383669118c4 edge_type=refutes target=n_2a3e7fc64d7f\nt=0038 ADD_EDGE edge_id=e_4f215901ebad source=n_761872a183d2 edge_type=supports target=n_207ab384d9b8\nt=0039 ADD_EDGE edge_id=e_0844a79e005b source=n_cee02b7de525 edge_type=refutes target=n_c360ad4912d2\nt=0040 ADD_EDGE edge_id=e_aa4e11ed4481 source=n_559b345bb467 edge_type=supports target=n_d4e622fc0168\nt=0041 ADD_EDGE edge_id=e_6e6c5d9c22c0 source=n_a27d1a585ad7 edge_type=supports target=n_22b211086cfc\nt=0042 ADD_EDGE edge_id=e_a76ce1114473 source=n_207ab384d9b8 edge_type=supports target=n_6acee4dbf6b7\nt=0043 ADD_EDGE edge_id=e_a405a40adbe8 source=n_761872a183d2 edge_type=supports target=n_0e6fb65d8e71\nt=0044 ADD_EDGE edge_id=e_5dff96f9d321 source=n_01cb33d3434b edge_type=refutes target=n_451832451374\nt=0045 ADD_EDGE edge_id=e_a105a1b5528a source=n_c360ad4912d2 edge_type=refutes target=n_c3c01014c23e\nt=0046 ADD_EDGE edge_id=e_8a08214bce10 source=n_663c689857c2 edge_type=supports target=n_a27d1a585ad7\nt=0047 ADD_EDGE edge_id=e_31b467f250eb source=n_01cb33d3434b edge_type=refutes target=n_3383669118c4\nt=0048 ADD_EDGE edge_id=e_e176df10890f source=n_43cec48d39d5 edge_type=refutes target=n_a0134592174d\nt=0049 ADD_EDGE edge_id=e_f36e17411943 source=n_10ce1911de2d edge_type=refutes target=n_0fc712b1b61f\nt=0050 ADD_EDGE edge_id=e_568605cccf51 source=n_df23fb0df674 edge_type=supports target=n_fa0d9b50a730\nt=0051 ADD_EDGE edge_id=e_81d992516d0b source=n_0e6fb65d8e71 edge_type=refutes target=n_28a2c6f4e6e2\nt=0052 ADD_EDGE edge_id=e_b4924d353c03 source=n_43cec48d39d5 edge_type=refutes target=n_10ce1911de2d\nt=0053 ADD_EDGE edge_id=e_b22e927dcf68 source=n_559b345bb467 edge_type=supports target=n_e99a57df20bc\nt=0054 ADD_EDGE edge_id=e_7587d497eacd source=n_559b345bb467 edge_type=refutes target=n_43cec48d39d5\nt=0055 QUERY source=n_3566406ab69b target=n_9fe6360e28f9\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2649,"provenance":{"base_record_id":"train-d09-001","dataset":"livegraph-deterministic-parity-v3","depth":9,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d09-001","split":"train","variant":"clean"},"record_seed":351361144501513778,"render_sha256":"2b2c4a231628a9283a57f60180b2424e67356e570bbd8802e3b4643688a77cce","representation":"linear_trace","semantic_sha256":"6198e98c5fbb367f06d87c2ca34991b880361c1127efff9acbf12b4d40c8094a"}
{"char_count":4776,"item_id":"train-d09-002::linear_trace","label":"TRUE","lexical_token_proxy_count":816,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_fe8357a92e5e node_type=claim\nt=0001 CREATE_NODE id=n_3f1ae5cfd02d node_type=claim\nt=0002 CREATE_NODE id=n_fbb4406e3f4a node_type=claim\nt=0003 CREATE_NODE id=n_ea674ec348e2 node_type=claim\nt=0004 CREATE_NODE id=n_d07db5373fc0 node_type=claim\nt=0005 CREATE_NODE id=n_1889e130f1ab node_type=claim\nt=0006 CREATE_NODE id=n_074d6957bda0 node_type=claim\nt=0007 CREATE_NODE id=n_8d460a10238a node_type=claim\nt=0008 CREATE_NODE id=n_a9905b28a284 node_type=claim\nt=0009 CREATE_NODE id=n_5162209862fd node_type=claim\nt=0010 CREATE_NODE id=n_bbd4007b126f node_type=claim\nt=0011 CREATE_NODE id=n_d323b7eda3cf node_type=claim\nt=0012 CREATE_NODE id=n_33a63a311464 node_type=claim\nt=0013 CREATE_NODE id=n_a712b1098219 node_type=claim\nt=0014 CREATE_NODE id=n_c42d059a66e7 node_type=claim\nt=0015 CREATE_NODE id=n_4d7db6f073ce node_type=claim\nt=0016 CREATE_NODE id=n_ef99b655f32b node_type=claim\nt=0017 CREATE_NODE id=n_e18bba81971e node_type=claim\nt=0018 CREATE_NODE id=n_d83d4725c455 node_type=claim\nt=0019 CREATE_NODE id=n_a1c41d12f0eb node_type=claim\nt=0020 CREATE_NODE id=n_90e87fa15f7a node_type=claim\nt=0021 CREATE_NODE id=n_fced71f8625a node_type=claim\nt=0022 CREATE_NODE id=n_ce222dcbab68 node_type=claim\nt=0023 CREATE_NODE id=n_a6aee17651a8 node_type=claim\nt=0024 CREATE_NODE id=n_8f59471255f4 node_type=claim\nt=0025 CREATE_NODE id=n_2b0771a67585 node_type=claim\nt=0026 CREATE_NODE id=n_050c159468f9 node_type=claim\nt=0027 CREATE_NODE id=n_212508a5b663 node_type=claim\nt=0028 ASSERT_ROOT node=n_bbd4007b126f value=FALSE\nt=0029 ADD_EDGE edge_id=e_e1a0499a9c4a source=n_a712b1098219 edge_type=refutes target=n_8d460a10238a\nt=0030 ADD_EDGE edge_id=e_65c38b1bc60f source=n_a6aee17651a8 edge_type=supports target=n_4d7db6f073ce\nt=0031 ADD_EDGE edge_id=e_6f78d6555a3a source=n_074d6957bda0 edge_type=supports target=n_d83d4725c455\nt=0032 ADD_EDGE edge_id=e_29c2ff65d12d source=n_a1c41d12f0eb edge_type=refutes target=n_2b0771a67585\nt=0033 ADD_EDGE edge_id=e_12406a2aac02 source=n_a6aee17651a8 edge_type=supports target=n_8f59471255f4\nt=0034 ADD_EDGE edge_id=e_dc2c25d057eb source=n_ce222dcbab68 edge_type=supports target=n_e18bba81971e\nt=0035 ADD_EDGE edge_id=e_dd1d334b40c9 source=n_8d460a10238a edge_type=refutes target=n_a6aee17651a8\nt=0036 ADD_EDGE edge_id=e_27cd47b63d49 source=n_ea674ec348e2 edge_type=supports target=n_33a63a311464\nt=0037 ADD_EDGE edge_id=e_5936d98bb7c5 source=n_ea674ec348e2 edge_type=supports target=n_ce222dcbab68\nt=0038 ADD_EDGE edge_id=e_991138b6465c source=n_a6aee17651a8 edge_type=refutes target=n_fe8357a92e5e\nt=0039 ADD_EDGE edge_id=e_f8170c171e5c source=n_a9905b28a284 edge_type=supports target=n_d323b7eda3cf\nt=0040 ADD_EDGE edge_id=e_34c5c5d24570 source=n_90e87fa15f7a edge_type=refutes target=n_a1c41d12f0eb\nt=0041 ADD_EDGE edge_id=e_3e91c9cd7649 source=n_e18bba81971e edge_type=refutes target=n_212508a5b663\nt=0042 ADD_EDGE edge_id=e_21f858df170a source=n_bbd4007b126f edge_type=supports target=n_1889e130f1ab\nt=0043 ADD_EDGE edge_id=e_f2ba117addce source=n_a712b1098219 edge_type=refutes target=n_fced71f8625a\nt=0044 ADD_EDGE edge_id=e_9c4e537548f4 source=n_fbb4406e3f4a edge_type=supports target=n_a712b1098219\nt=0045 ADD_EDGE edge_id=e_18b5f8adf227 source=n_212508a5b663 edge_type=refutes target=n_c42d059a66e7\nt=0046 ADD_EDGE edge_id=e_c69e0382991d source=n_d323b7eda3cf edge_type=refutes target=n_90e87fa15f7a\nt=0047 ADD_EDGE edge_id=e_9f59d92ae333 source=n_212508a5b663 edge_type=supports target=n_a9905b28a284\nt=0048 ADD_EDGE edge_id=e_b3f2194c0d0c source=n_fbb4406e3f4a edge_type=refutes target=n_3f1ae5cfd02d\nt=0049 ADD_EDGE edge_id=e_4d928a231313 source=n_a6aee17651a8 edge_type=supports target=n_d07db5373fc0\nt=0050 ADD_EDGE edge_id=e_c8f75c6b63dd source=n_d323b7eda3cf edge_type=supports target=n_050c159468f9\nt=0051 ADD_EDGE edge_id=e_748a7b56ce70 source=n_8f59471255f4 edge_type=refutes target=n_074d6957bda0\nt=0052 ADD_EDGE edge_id=e_77023ac94f81 source=n_a712b1098219 edge_type=supports target=n_ef99b655f32b\nt=0053 ADD_EDGE edge_id=e_b6e548483620 source=n_bbd4007b126f edge_type=refutes target=n_ea674ec348e2\nt=0054 ADD_EDGE edge_id=e_9c039ed6afb1 source=n_a6aee17651a8 edge_type=refutes target=n_5162209862fd\nt=0055 QUERY source=n_bbd4007b126f target=n_2b0771a67585\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2668,"provenance":{"base_record_id":"train-d09-002","dataset":"livegraph-deterministic-parity-v3","depth":9,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d09-002","split":"train","variant":"clean"},"record_seed":1749694082684452,"render_sha256":"a406f9ee47f8575b84503b734436fb2dd8e3b276aca0af18d4137af3a0a1b1ac","representation":"linear_trace","semantic_sha256":"328c3711892b982fee22127dca90cf946fb2c76461c82c0af5cf2be1ddae9868"}
{"char_count":4776,"item_id":"train-d09-003::linear_trace","label":"FALSE","lexical_token_proxy_count":816,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_abf020b6d52a node_type=claim\nt=0001 CREATE_NODE id=n_086795abccaa node_type=claim\nt=0002 CREATE_NODE id=n_cefd63c17a24 node_type=claim\nt=0003 CREATE_NODE id=n_9f2d77500adf node_type=claim\nt=0004 CREATE_NODE id=n_bd987506934a node_type=claim\nt=0005 CREATE_NODE id=n_468fbed79b27 node_type=claim\nt=0006 CREATE_NODE id=n_bd959a2383ad node_type=claim\nt=0007 CREATE_NODE id=n_ebca4ce6b0d8 node_type=claim\nt=0008 CREATE_NODE id=n_64c0b9fae43b node_type=claim\nt=0009 CREATE_NODE id=n_058476719b8b node_type=claim\nt=0010 CREATE_NODE id=n_97fb3289a16a node_type=claim\nt=0011 CREATE_NODE id=n_fd8beaa55411 node_type=claim\nt=0012 CREATE_NODE id=n_0b1052172f6a node_type=claim\nt=0013 CREATE_NODE id=n_412ddf13f844 node_type=claim\nt=0014 CREATE_NODE id=n_236cec21921e node_type=claim\nt=0015 CREATE_NODE id=n_b0dfd96f10d9 node_type=claim\nt=0016 CREATE_NODE id=n_e9403a071cc5 node_type=claim\nt=0017 CREATE_NODE id=n_5a42bb23d193 node_type=claim\nt=0018 CREATE_NODE id=n_ea2a089213a3 node_type=claim\nt=0019 CREATE_NODE id=n_208497a20ca7 node_type=claim\nt=0020 CREATE_NODE id=n_04600befa00a node_type=claim\nt=0021 CREATE_NODE id=n_0c1f5bee3383 node_type=claim\nt=0022 CREATE_NODE id=n_3f9ef2d4dbd4 node_type=claim\nt=0023 CREATE_NODE id=n_063da5af33a9 node_type=claim\nt=0024 CREATE_NODE id=n_a61752c89604 node_type=claim\nt=0025 CREATE_NODE id=n_44fa82422ff6 node_type=claim\nt=0026 CREATE_NODE id=n_62892b736f30 node_type=claim\nt=0027 CREATE_NODE id=n_7f99a7193851 node_type=claim\nt=0028 ASSERT_ROOT node=n_9f2d77500adf value=FALSE\nt=0029 ADD_EDGE edge_id=e_5bb2b7a351da source=n_cefd63c17a24 edge_type=refutes target=n_abf020b6d52a\nt=0030 ADD_EDGE edge_id=e_1a46f648751e source=n_cefd63c17a24 edge_type=supports target=n_b0dfd96f10d9\nt=0031 ADD_EDGE edge_id=e_1844af9a154c source=n_bd987506934a edge_type=refutes target=n_208497a20ca7\nt=0032 ADD_EDGE edge_id=e_07a32b0ec334 source=n_0c1f5bee3383 edge_type=supports target=n_063da5af33a9\nt=0033 ADD_EDGE edge_id=e_df9543b05f36 source=n_ebca4ce6b0d8 edge_type=refutes target=n_44fa82422ff6\nt=0034 ADD_EDGE edge_id=e_8b5e73ee639e source=n_bd987506934a edge_type=refutes target=n_468fbed79b27\nt=0035 ADD_EDGE edge_id=e_d8197f1fbc9c source=n_208497a20ca7 edge_type=supports target=n_7f99a7193851\nt=0036 ADD_EDGE edge_id=e_b684c56c0ea1 source=n_fd8beaa55411 edge_type=refutes target=n_64c0b9fae43b\nt=0037 ADD_EDGE edge_id=e_ab13cdbe2055 source=n_9f2d77500adf edge_type=supports target=n_086795abccaa\nt=0038 ADD_EDGE edge_id=e_446c29f6ad9f source=n_0b1052172f6a edge_type=refutes target=n_5a42bb23d193\nt=0039 ADD_EDGE edge_id=e_9f97b8ae22ad source=n_058476719b8b edge_type=supports target=n_236cec21921e\nt=0040 ADD_EDGE edge_id=e_f2c0e1093e05 source=n_ea2a089213a3 edge_type=refutes target=n_04600befa00a\nt=0041 ADD_EDGE edge_id=e_7bb640debf87 source=n_fd8beaa55411 edge_type=refutes target=n_a61752c89604\nt=0042 ADD_EDGE edge_id=e_734d81b0cb74 source=n_208497a20ca7 edge_type=refutes target=n_fd8beaa55411\nt=0043 ADD_EDGE edge_id=e_6829b050431d source=n_bd987506934a edge_type=supports target=n_058476719b8b\nt=0044 ADD_EDGE edge_id=e_d40d27675390 source=n_086795abccaa edge_type=supports target=n_bd959a2383ad\nt=0045 ADD_EDGE edge_id=e_fb94894a48f4 source=n_04600befa00a edge_type=supports target=n_ebca4ce6b0d8\nt=0046 ADD_EDGE edge_id=e_7b57f1ebe23f source=n_086795abccaa edge_type=refutes target=n_ea2a089213a3\nt=0047 ADD_EDGE edge_id=e_658c6deb0e97 source=n_0c1f5bee3383 edge_type=supports target=n_97fb3289a16a\nt=0048 ADD_EDGE edge_id=e_f71a0be2df28 source=n_bd987506934a edge_type=supports target=n_62892b736f30\nt=0049 ADD_EDGE edge_id=e_93314294f10e source=n_5a42bb23d193 edge_type=supports target=n_cefd63c17a24\nt=0050 ADD_EDGE edge_id=e_8f7fad5be377 source=n_b0dfd96f10d9 edge_type=refutes target=n_3f9ef2d4dbd4\nt=0051 ADD_EDGE edge_id=e_c680bb20f238 source=n_058476719b8b edge_type=refutes target=n_e9403a071cc5\nt=0052 ADD_EDGE edge_id=e_d8db27c47212 source=n_b0dfd96f10d9 edge_type=supports target=n_412ddf13f844\nt=0053 ADD_EDGE edge_id=e_fc1ed3c39453 source=n_44fa82422ff6 edge_type=supports target=n_0b1052172f6a\nt=0054 ADD_EDGE edge_id=e_0e44a8f845a0 source=n_7f99a7193851 edge_type=refutes target=n_0c1f5bee3383\nt=0055 QUERY source=n_9f2d77500adf target=n_b0dfd96f10d9\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2620,"provenance":{"base_record_id":"train-d09-003","dataset":"livegraph-deterministic-parity-v3","depth":9,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d09-003","split":"train","variant":"clean"},"record_seed":435226965081080581,"render_sha256":"366250e9c47abd57755faa74ea1ddd31700abcbcdba329f0e3077698ccd65a92","representation":"linear_trace","semantic_sha256":"fdcd6b92b529be1e49fc6d58f6cdf0dc59d3dc7cc3073dd8f4c3e20dbcdb66a9"}
{"char_count":4775,"item_id":"train-d09-004::linear_trace","label":"TRUE","lexical_token_proxy_count":816,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_d967b616a15d node_type=claim\nt=0001 CREATE_NODE id=n_927c418700a4 node_type=claim\nt=0002 CREATE_NODE id=n_b3f4d6775006 node_type=claim\nt=0003 CREATE_NODE id=n_a27785f1654e node_type=claim\nt=0004 CREATE_NODE id=n_4c4f292f68fa node_type=claim\nt=0005 CREATE_NODE id=n_148a42b4eda2 node_type=claim\nt=0006 CREATE_NODE id=n_8b93d83852ed node_type=claim\nt=0007 CREATE_NODE id=n_91bc809c451e node_type=claim\nt=0008 CREATE_NODE id=n_967b761820bc node_type=claim\nt=0009 CREATE_NODE id=n_e3b7da6762bb node_type=claim\nt=0010 CREATE_NODE id=n_0ab546aae9d3 node_type=claim\nt=0011 CREATE_NODE id=n_1356db11635e node_type=claim\nt=0012 CREATE_NODE id=n_1f804d6fbb32 node_type=claim\nt=0013 CREATE_NODE id=n_456f762549e0 node_type=claim\nt=0014 CREATE_NODE id=n_2238d7a05845 node_type=claim\nt=0015 CREATE_NODE id=n_93c54f24dab3 node_type=claim\nt=0016 CREATE_NODE id=n_a05f2af57d30 node_type=claim\nt=0017 CREATE_NODE id=n_32afc23cdfef node_type=claim\nt=0018 CREATE_NODE id=n_11ff3ded58c8 node_type=claim\nt=0019 CREATE_NODE id=n_8fc3f2835334 node_type=claim\nt=0020 CREATE_NODE id=n_306b0379caaf node_type=claim\nt=0021 CREATE_NODE id=n_375d447bc60e node_type=claim\nt=0022 CREATE_NODE id=n_9f9a1290a39e node_type=claim\nt=0023 CREATE_NODE id=n_593a99152977 node_type=claim\nt=0024 CREATE_NODE id=n_c5fc05fcf45e node_type=claim\nt=0025 CREATE_NODE id=n_5663e0271b28 node_type=claim\nt=0026 CREATE_NODE id=n_2982b4128553 node_type=claim\nt=0027 CREATE_NODE id=n_8a03142c5874 node_type=claim\nt=0028 ASSERT_ROOT node=n_a27785f1654e value=TRUE\nt=0029 ADD_EDGE edge_id=e_2a7eae3df9f5 source=n_c5fc05fcf45e edge_type=refutes target=n_1f804d6fbb32\nt=0030 ADD_EDGE edge_id=e_b6c4068aebaf source=n_e3b7da6762bb edge_type=refutes target=n_456f762549e0\nt=0031 ADD_EDGE edge_id=e_e1bcd7e868c0 source=n_9f9a1290a39e edge_type=refutes target=n_593a99152977\nt=0032 ADD_EDGE edge_id=e_3ae9a66cc17d source=n_93c54f24dab3 edge_type=refutes target=n_8b93d83852ed\nt=0033 ADD_EDGE edge_id=e_1441dd38e0c7 source=n_9f9a1290a39e edge_type=refutes target=n_8a03142c5874\nt=0034 ADD_EDGE edge_id=e_e86990638d78 source=n_5663e0271b28 edge_type=refutes target=n_11ff3ded58c8\nt=0035 ADD_EDGE edge_id=e_6793ee2e3f04 source=n_d967b616a15d edge_type=refutes target=n_306b0379caaf\nt=0036 ADD_EDGE edge_id=e_c1c6284b3f50 source=n_d967b616a15d edge_type=refutes target=n_148a42b4eda2\nt=0037 ADD_EDGE edge_id=e_234d7526c374 source=n_c5fc05fcf45e edge_type=supports target=n_4c4f292f68fa\nt=0038 ADD_EDGE edge_id=e_d317d51e2d1a source=n_967b761820bc edge_type=refutes target=n_0ab546aae9d3\nt=0039 ADD_EDGE edge_id=e_a881005c6c01 source=n_91bc809c451e edge_type=refutes target=n_93c54f24dab3\nt=0040 ADD_EDGE edge_id=e_398f6dde70b5 source=n_2238d7a05845 edge_type=refutes target=n_9f9a1290a39e\nt=0041 ADD_EDGE edge_id=e_9aed67e6d9cc source=n_a05f2af57d30 edge_type=supports target=n_e3b7da6762bb\nt=0042 ADD_EDGE edge_id=e_7575da3566ae source=n_9f9a1290a39e edge_type=supports target=n_967b761820bc\nt=0043 ADD_EDGE edge_id=e_d3a518d27e0f source=n_2238d7a05845 edge_type=supports target=n_2982b4128553\nt=0044 ADD_EDGE edge_id=e_81097f24f445 source=n_93c54f24dab3 edge_type=refutes target=n_927c418700a4\nt=0045 ADD_EDGE edge_id=e_f0a40d4a5826 source=n_9f9a1290a39e edge_type=supports target=n_d967b616a15d\nt=0046 ADD_EDGE edge_id=e_6055283dfc0c source=n_9f9a1290a39e edge_type=supports target=n_b3f4d6775006\nt=0047 ADD_EDGE edge_id=e_d17175d2fc9f source=n_375d447bc60e edge_type=supports target=n_c5fc05fcf45e\nt=0048 ADD_EDGE edge_id=e_a9d06eaa9a1c source=n_456f762549e0 edge_type=supports target=n_375d447bc60e\nt=0049 ADD_EDGE edge_id=e_ab0cb2a869e1 source=n_1f804d6fbb32 edge_type=supports target=n_91bc809c451e\nt=0050 ADD_EDGE edge_id=e_beee46657668 source=n_456f762549e0 edge_type=supports target=n_8fc3f2835334\nt=0051 ADD_EDGE edge_id=e_31e77b4054cd source=n_a05f2af57d30 edge_type=supports target=n_32afc23cdfef\nt=0052 ADD_EDGE edge_id=e_5bcb66ae1031 source=n_2238d7a05845 edge_type=refutes target=n_1356db11635e\nt=0053 ADD_EDGE edge_id=e_79c8872ca966 source=n_a27785f1654e edge_type=supports target=n_a05f2af57d30\nt=0054 ADD_EDGE edge_id=e_5793bb1b4314 source=n_9f9a1290a39e edge_type=supports target=n_5663e0271b28\nt=0055 QUERY source=n_a27785f1654e target=n_8b93d83852ed\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2667,"provenance":{"base_record_id":"train-d09-004","dataset":"livegraph-deterministic-parity-v3","depth":9,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d09-004","split":"train","variant":"clean"},"record_seed":507419811938444238,"render_sha256":"879e93c7700baaf6874aa7ea6bf3cbdc1f9df2dc57eed43835f570c3e8a35253","representation":"linear_trace","semantic_sha256":"e3ea765ae791b0e5eb8689e777246d1ec7fb4191678cf56d1f05da8632ded26c"}
{"char_count":4775,"item_id":"train-d09-005::linear_trace","label":"FALSE","lexical_token_proxy_count":816,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_3bc58d83784d node_type=claim\nt=0001 CREATE_NODE id=n_cf66839d7a57 node_type=claim\nt=0002 CREATE_NODE id=n_2017919641db node_type=claim\nt=0003 CREATE_NODE id=n_ec278db5ff8f node_type=claim\nt=0004 CREATE_NODE id=n_b078e34ee9c2 node_type=claim\nt=0005 CREATE_NODE id=n_fdcce033b6f2 node_type=claim\nt=0006 CREATE_NODE id=n_40ebce56ac31 node_type=claim\nt=0007 CREATE_NODE id=n_ff32db196455 node_type=claim\nt=0008 CREATE_NODE id=n_9a7724fee95b node_type=claim\nt=0009 CREATE_NODE id=n_dd3f846fa220 node_type=claim\nt=0010 CREATE_NODE id=n_fdd38207dede node_type=claim\nt=0011 CREATE_NODE id=n_889904cd2e51 node_type=claim\nt=0012 CREATE_NODE id=n_f857d7a7a8cf node_type=claim\nt=0013 CREATE_NODE id=n_527f80fc84d6 node_type=claim\nt=0014 CREATE_NODE id=n_e94a3819755e node_type=claim\nt=0015 CREATE_NODE id=n_102f18416596 node_type=claim\nt=0016 CREATE_NODE id=n_499caccc727b node_type=claim\nt=0017 CREATE_NODE id=n_967acbf2e0e3 node_type=claim\nt=0018 CREATE_NODE id=n_284a8f8ad814 node_type=claim\nt=0019 CREATE_NODE id=n_fa653d576422 node_type=claim\nt=0020 CREATE_NODE id=n_b4e9d0dd72d1 node_type=claim\nt=0021 CREATE_NODE id=n_5e94f26661ff node_type=claim\nt=0022 CREATE_NODE id=n_12da25538130 node_type=claim\nt=0023 CREATE_NODE id=n_9a49232737e7 node_type=claim\nt=0024 CREATE_NODE id=n_ca0d0c36acd2 node_type=claim\nt=0025 CREATE_NODE id=n_f0495d77915a node_type=claim\nt=0026 CREATE_NODE id=n_ec2eb1bb460a node_type=claim\nt=0027 CREATE_NODE id=n_d471ec4b5463 node_type=claim\nt=0028 ASSERT_ROOT node=n_3bc58d83784d value=TRUE\nt=0029 ADD_EDGE edge_id=e_c8535504378a source=n_284a8f8ad814 edge_type=refutes target=n_967acbf2e0e3\nt=0030 ADD_EDGE edge_id=e_6fe21444e33f source=n_967acbf2e0e3 edge_type=refutes target=n_ec278db5ff8f\nt=0031 ADD_EDGE edge_id=e_3c2daccd8ae5 source=n_527f80fc84d6 edge_type=supports target=n_f0495d77915a\nt=0032 ADD_EDGE edge_id=e_597cf5621f23 source=n_cf66839d7a57 edge_type=refutes target=n_527f80fc84d6\nt=0033 ADD_EDGE edge_id=e_e79c31b7a14e source=n_f0495d77915a edge_type=refutes target=n_284a8f8ad814\nt=0034 ADD_EDGE edge_id=e_7db6b743eef2 source=n_40ebce56ac31 edge_type=supports target=n_fdd38207dede\nt=0035 ADD_EDGE edge_id=e_d6898598a190 source=n_d471ec4b5463 edge_type=refutes target=n_5e94f26661ff\nt=0036 ADD_EDGE edge_id=e_07237ec703e6 source=n_889904cd2e51 edge_type=refutes target=n_9a7724fee95b\nt=0037 ADD_EDGE edge_id=e_ecfef4869a96 source=n_ca0d0c36acd2 edge_type=refutes target=n_cf66839d7a57\nt=0038 ADD_EDGE edge_id=e_0e7b2a034606 source=n_102f18416596 edge_type=supports target=n_499caccc727b\nt=0039 ADD_EDGE edge_id=e_4f1605bd4a40 source=n_ec2eb1bb460a edge_type=supports target=n_40ebce56ac31\nt=0040 ADD_EDGE edge_id=e_ea0604683188 source=n_fdcce033b6f2 edge_type=supports target=n_102f18416596\nt=0041 ADD_EDGE edge_id=e_68a3bb0c063d source=n_9a49232737e7 edge_type=supports target=n_dd3f846fa220\nt=0042 ADD_EDGE edge_id=e_e938556845b1 source=n_40ebce56ac31 edge_type=supports target=n_b4e9d0dd72d1\nt=0043 ADD_EDGE edge_id=e_ca85134ac830 source=n_967acbf2e0e3 edge_type=supports target=n_fdcce033b6f2\nt=0044 ADD_EDGE edge_id=e_d182bf2c3f74 source=n_dd3f846fa220 edge_type=supports target=n_2017919641db\nt=0045 ADD_EDGE edge_id=e_606e4b237946 source=n_12da25538130 edge_type=supports target=n_fa653d576422\nt=0046 ADD_EDGE edge_id=e_1a513dd6e360 source=n_cf66839d7a57 edge_type=refutes target=n_b078e34ee9c2\nt=0047 ADD_EDGE edge_id=e_c730bc876094 source=n_9a49232737e7 edge_type=supports target=n_12da25538130\nt=0048 ADD_EDGE edge_id=e_287d1eeb20b5 source=n_527f80fc84d6 edge_type=supports target=n_f857d7a7a8cf\nt=0049 ADD_EDGE edge_id=e_96f49545f005 source=n_ec2eb1bb460a edge_type=supports target=n_889904cd2e51\nt=0050 ADD_EDGE edge_id=e_6b9a9f0954fc source=n_5e94f26661ff edge_type=refutes target=n_ff32db196455\nt=0051 ADD_EDGE edge_id=e_9fcb7edb3304 source=n_9a49232737e7 edge_type=refutes target=n_ec2eb1bb460a\nt=0052 ADD_EDGE edge_id=e_ad011cf9be0e source=n_ec2eb1bb460a edge_type=refutes target=n_d471ec4b5463\nt=0053 ADD_EDGE edge_id=e_77aceb3a8fc0 source=n_cf66839d7a57 edge_type=refutes target=n_e94a3819755e\nt=0054 ADD_EDGE edge_id=e_44a3c99fb477 source=n_3bc58d83784d edge_type=refutes target=n_ca0d0c36acd2\nt=0055 QUERY source=n_3bc58d83784d target=n_499caccc727b\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2618,"provenance":{"base_record_id":"train-d09-005","dataset":"livegraph-deterministic-parity-v3","depth":9,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d09-005","split":"train","variant":"clean"},"record_seed":1025521226333679565,"render_sha256":"620410094745734f645e81dd651cb9d3f38f087e9d2f715d749ffce04f0b1f01","representation":"linear_trace","semantic_sha256":"e2af23c11843e88627f974a00f170b67cfc41b8ebb502e55293ab4882d63cd29"}
{"char_count":4776,"item_id":"train-d09-006::linear_trace","label":"TRUE","lexical_token_proxy_count":816,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_5dbab41d192c node_type=claim\nt=0001 CREATE_NODE id=n_6f11699ea576 node_type=claim\nt=0002 CREATE_NODE id=n_26581be74c0b node_type=claim\nt=0003 CREATE_NODE id=n_27746ff078ce node_type=claim\nt=0004 CREATE_NODE id=n_280abba6cde4 node_type=claim\nt=0005 CREATE_NODE id=n_9c4155e8ec6a node_type=claim\nt=0006 CREATE_NODE id=n_bd27d96c3b1e node_type=claim\nt=0007 CREATE_NODE id=n_227c070a7537 node_type=claim\nt=0008 CREATE_NODE id=n_9cb8fbe56f25 node_type=claim\nt=0009 CREATE_NODE id=n_dffe022d1b87 node_type=claim\nt=0010 CREATE_NODE id=n_fabec83c531c node_type=claim\nt=0011 CREATE_NODE id=n_bf8902f181a7 node_type=claim\nt=0012 CREATE_NODE id=n_bb1aedff4d90 node_type=claim\nt=0013 CREATE_NODE id=n_043d0a7d1bdd node_type=claim\nt=0014 CREATE_NODE id=n_39c79a2bf431 node_type=claim\nt=0015 CREATE_NODE id=n_5ce5b783392f node_type=claim\nt=0016 CREATE_NODE id=n_5092e2c795b8 node_type=claim\nt=0017 CREATE_NODE id=n_cc08dcc690f9 node_type=claim\nt=0018 CREATE_NODE id=n_6b132645600f node_type=claim\nt=0019 CREATE_NODE id=n_3e2c4711bc44 node_type=claim\nt=0020 CREATE_NODE id=n_08b0ceb9e27b node_type=claim\nt=0021 CREATE_NODE id=n_fe18b19a86a0 node_type=claim\nt=0022 CREATE_NODE id=n_c8ff4badba86 node_type=claim\nt=0023 CREATE_NODE id=n_ff0c5234d01c node_type=claim\nt=0024 CREATE_NODE id=n_5e058a3790cb node_type=claim\nt=0025 CREATE_NODE id=n_938503d8f71a node_type=claim\nt=0026 CREATE_NODE id=n_b5e41b091c65 node_type=claim\nt=0027 CREATE_NODE id=n_f5f5c7d0a71c node_type=claim\nt=0028 ASSERT_ROOT node=n_cc08dcc690f9 value=FALSE\nt=0029 ADD_EDGE edge_id=e_794e8534a966 source=n_9cb8fbe56f25 edge_type=supports target=n_b5e41b091c65\nt=0030 ADD_EDGE edge_id=e_a358f9eec7f9 source=n_5dbab41d192c edge_type=supports target=n_9c4155e8ec6a\nt=0031 ADD_EDGE edge_id=e_7c543fcde2ff source=n_f5f5c7d0a71c edge_type=supports target=n_dffe022d1b87\nt=0032 ADD_EDGE edge_id=e_5e9843f097ea source=n_08b0ceb9e27b edge_type=refutes target=n_5e058a3790cb\nt=0033 ADD_EDGE edge_id=e_fc545c151ab2 source=n_39c79a2bf431 edge_type=refutes target=n_9cb8fbe56f25\nt=0034 ADD_EDGE edge_id=e_26d34df3e63f source=n_dffe022d1b87 edge_type=refutes target=n_227c070a7537\nt=0035 ADD_EDGE edge_id=e_d1dda0ec033a source=n_fabec83c531c edge_type=supports target=n_bd27d96c3b1e\nt=0036 ADD_EDGE edge_id=e_6d935227405e source=n_5dbab41d192c edge_type=refutes target=n_c8ff4badba86\nt=0037 ADD_EDGE edge_id=e_8cb66ac43696 source=n_fe18b19a86a0 edge_type=supports target=n_938503d8f71a\nt=0038 ADD_EDGE edge_id=e_e0a7b64ae5c0 source=n_280abba6cde4 edge_type=refutes target=n_fabec83c531c\nt=0039 ADD_EDGE edge_id=e_457587fe781d source=n_b5e41b091c65 edge_type=supports target=n_ff0c5234d01c\nt=0040 ADD_EDGE edge_id=e_3f4e5282cc39 source=n_5e058a3790cb edge_type=supports target=n_bf8902f181a7\nt=0041 ADD_EDGE edge_id=e_db8161f3ed33 source=n_fe18b19a86a0 edge_type=refutes target=n_27746ff078ce\nt=0042 ADD_EDGE edge_id=e_ea2b144513db source=n_bd27d96c3b1e edge_type=refutes target=n_08b0ceb9e27b\nt=0043 ADD_EDGE edge_id=e_00db21f25ab9 source=n_5ce5b783392f edge_type=refutes target=n_bb1aedff4d90\nt=0044 ADD_EDGE edge_id=e_fb5ba1bcd0c1 source=n_27746ff078ce edge_type=supports target=n_3e2c4711bc44\nt=0045 ADD_EDGE edge_id=e_78440bdb790e source=n_5dbab41d192c edge_type=supports target=n_fe18b19a86a0\nt=0046 ADD_EDGE edge_id=e_11d84c74b757 source=n_bb1aedff4d90 edge_type=refutes target=n_6f11699ea576\nt=0047 ADD_EDGE edge_id=e_ffd37b1866ba source=n_bd27d96c3b1e edge_type=supports target=n_5092e2c795b8\nt=0048 ADD_EDGE edge_id=e_53d7888eca80 source=n_5dbab41d192c edge_type=refutes target=n_5ce5b783392f\nt=0049 ADD_EDGE edge_id=e_9fbfd6f19a9d source=n_938503d8f71a edge_type=refutes target=n_f5f5c7d0a71c\nt=0050 ADD_EDGE edge_id=e_848e3ec5d959 source=n_280abba6cde4 edge_type=supports target=n_26581be74c0b\nt=0051 ADD_EDGE edge_id=e_4a212295aba1 source=n_cc08dcc690f9 edge_type=refutes target=n_280abba6cde4\nt=0052 ADD_EDGE edge_id=e_3a5d5a63a466 source=n_08b0ceb9e27b edge_type=refutes target=n_6b132645600f\nt=0053 ADD_EDGE edge_id=e_fde9462325e5 source=n_bf8902f181a7 edge_type=supports target=n_39c79a2bf431\nt=0054 ADD_EDGE edge_id=e_00c0b888f20a source=n_5ce5b783392f edge_type=supports target=n_043d0a7d1bdd\nt=0055 QUERY source=n_cc08dcc690f9 target=n_b5e41b091c65\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2616,"provenance":{"base_record_id":"train-d09-006","dataset":"livegraph-deterministic-parity-v3","depth":9,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d09-006","split":"train","variant":"clean"},"record_seed":413077079097311927,"render_sha256":"54fa436dfc905a0eb130aa4742ab1dd12ce99510825a079f4bd72f9d302666f3","representation":"linear_trace","semantic_sha256":"722b7131aa06a5a6fbee2f3faffb0a3381bbf773940ce93969bfebeaf8cb3170"}
{"char_count":4776,"item_id":"train-d09-007::linear_trace","label":"FALSE","lexical_token_proxy_count":816,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_e5e97b5cac38 node_type=claim\nt=0001 CREATE_NODE id=n_c54b0636673c node_type=claim\nt=0002 CREATE_NODE id=n_7cc7402dddf1 node_type=claim\nt=0003 CREATE_NODE id=n_c05c6d892127 node_type=claim\nt=0004 CREATE_NODE id=n_9e239f7843aa node_type=claim\nt=0005 CREATE_NODE id=n_ea02c3a2e1b3 node_type=claim\nt=0006 CREATE_NODE id=n_449b23d6a046 node_type=claim\nt=0007 CREATE_NODE id=n_b463272da27f node_type=claim\nt=0008 CREATE_NODE id=n_bb2130abdc04 node_type=claim\nt=0009 CREATE_NODE id=n_6f0f9a552dc2 node_type=claim\nt=0010 CREATE_NODE id=n_b75ffac7dea9 node_type=claim\nt=0011 CREATE_NODE id=n_9e041fe1b61d node_type=claim\nt=0012 CREATE_NODE id=n_e3968c33b230 node_type=claim\nt=0013 CREATE_NODE id=n_da1e9152bf50 node_type=claim\nt=0014 CREATE_NODE id=n_0425dc675e00 node_type=claim\nt=0015 CREATE_NODE id=n_a32fd66c5983 node_type=claim\nt=0016 CREATE_NODE id=n_1d9ed38dd7cf node_type=claim\nt=0017 CREATE_NODE id=n_d45c5f1ace9a node_type=claim\nt=0018 CREATE_NODE id=n_55ccc0bf704c node_type=claim\nt=0019 CREATE_NODE id=n_4567de13d593 node_type=claim\nt=0020 CREATE_NODE id=n_ecad088c0c53 node_type=claim\nt=0021 CREATE_NODE id=n_e04172336f1c node_type=claim\nt=0022 CREATE_NODE id=n_3c36e2dfcc83 node_type=claim\nt=0023 CREATE_NODE id=n_287c27c19f72 node_type=claim\nt=0024 CREATE_NODE id=n_4ff561abacaf node_type=claim\nt=0025 CREATE_NODE id=n_4d395c8519c0 node_type=claim\nt=0026 CREATE_NODE id=n_4b517c976bfd node_type=claim\nt=0027 CREATE_NODE id=n_aebd79f0786e node_type=claim\nt=0028 ASSERT_ROOT node=n_1d9ed38dd7cf value=FALSE\nt=0029 ADD_EDGE edge_id=e_d5d132e5a383 source=n_4d395c8519c0 edge_type=supports target=n_aebd79f0786e\nt=0030 ADD_EDGE edge_id=e_2f33a14ad836 source=n_6f0f9a552dc2 edge_type=refutes target=n_e3968c33b230\nt=0031 ADD_EDGE edge_id=e_3cdcabe76e47 source=n_bb2130abdc04 edge_type=supports target=n_e04172336f1c\nt=0032 ADD_EDGE edge_id=e_20dac1a101c6 source=n_a32fd66c5983 edge_type=refutes target=n_ea02c3a2e1b3\nt=0033 ADD_EDGE edge_id=e_0dcfc0f179da source=n_0425dc675e00 edge_type=refutes target=n_9e041fe1b61d\nt=0034 ADD_EDGE edge_id=e_adbfe42daf3b source=n_c54b0636673c edge_type=supports target=n_9e239f7843aa\nt=0035 ADD_EDGE edge_id=e_f0a412e71f55 source=n_9e239f7843aa edge_type=refutes target=n_e5e97b5cac38\nt=0036 ADD_EDGE edge_id=e_a58d7596ad11 source=n_ea02c3a2e1b3 edge_type=refutes target=n_4567de13d593\nt=0037 ADD_EDGE edge_id=e_9bdeb2ecd87c source=n_b463272da27f edge_type=supports target=n_287c27c19f72\nt=0038 ADD_EDGE edge_id=e_ef468925830d source=n_9e239f7843aa edge_type=supports target=n_a32fd66c5983\nt=0039 ADD_EDGE edge_id=e_845c44370adc source=n_e04172336f1c edge_type=supports target=n_b75ffac7dea9\nt=0040 ADD_EDGE edge_id=e_87db257aed4f source=n_bb2130abdc04 edge_type=supports target=n_c54b0636673c\nt=0041 ADD_EDGE edge_id=e_d56e792456e7 source=n_bb2130abdc04 edge_type=refutes target=n_0425dc675e00\nt=0042 ADD_EDGE edge_id=e_69a1b23009e0 source=n_7cc7402dddf1 edge_type=supports target=n_4b517c976bfd\nt=0043 ADD_EDGE edge_id=e_199d530750fe source=n_1d9ed38dd7cf edge_type=supports target=n_c05c6d892127\nt=0044 ADD_EDGE edge_id=e_935fcb48b8cc source=n_7cc7402dddf1 edge_type=refutes target=n_3c36e2dfcc83\nt=0045 ADD_EDGE edge_id=e_ddc565fa918f source=n_ecad088c0c53 edge_type=refutes target=n_6f0f9a552dc2\nt=0046 ADD_EDGE edge_id=e_bdcf590ee813 source=n_ecad088c0c53 edge_type=supports target=n_4ff561abacaf\nt=0047 ADD_EDGE edge_id=e_2206656fa2be source=n_c54b0636673c edge_type=refutes target=n_4d395c8519c0\nt=0048 ADD_EDGE edge_id=e_0e54ae710b79 source=n_1d9ed38dd7cf edge_type=refutes target=n_55ccc0bf704c\nt=0049 ADD_EDGE edge_id=e_007690e2af5a source=n_c05c6d892127 edge_type=refutes target=n_da1e9152bf50\nt=0050 ADD_EDGE edge_id=e_4521c3f6dbba source=n_e3968c33b230 edge_type=refutes target=n_7cc7402dddf1\nt=0051 ADD_EDGE edge_id=e_edd384e00ba5 source=n_da1e9152bf50 edge_type=supports target=n_b463272da27f\nt=0052 ADD_EDGE edge_id=e_e60b839cd727 source=n_4b517c976bfd edge_type=refutes target=n_d45c5f1ace9a\nt=0053 ADD_EDGE edge_id=e_c7ff4d6463e8 source=n_e04172336f1c edge_type=supports target=n_449b23d6a046\nt=0054 ADD_EDGE edge_id=e_702569a00366 source=n_287c27c19f72 edge_type=supports target=n_ecad088c0c53\nt=0055 QUERY source=n_1d9ed38dd7cf target=n_4b517c976bfd\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2610,"provenance":{"base_record_id":"train-d09-007","dataset":"livegraph-deterministic-parity-v3","depth":9,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d09-007","split":"train","variant":"clean"},"record_seed":983807158091541310,"render_sha256":"6ae7e93e50bc01c7dce9d8ecee08454d0e6f0986bea8ec749336112b8d79e768","representation":"linear_trace","semantic_sha256":"e9285f12cab2f566315570d7a72436f30aed105dce2ed507cf7350138ad684ce"}
{"char_count":4775,"item_id":"train-d09-008::linear_trace","label":"TRUE","lexical_token_proxy_count":816,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_f4fc0ddadbb7 node_type=claim\nt=0001 CREATE_NODE id=n_7d5b67dfea9b node_type=claim\nt=0002 CREATE_NODE id=n_36f9d9a7e240 node_type=claim\nt=0003 CREATE_NODE id=n_a23db164f7f3 node_type=claim\nt=0004 CREATE_NODE id=n_d81be95b5240 node_type=claim\nt=0005 CREATE_NODE id=n_560de19c0d75 node_type=claim\nt=0006 CREATE_NODE id=n_d9fab7111362 node_type=claim\nt=0007 CREATE_NODE id=n_d93a2e7f6070 node_type=claim\nt=0008 CREATE_NODE id=n_3bbc63c9e18c node_type=claim\nt=0009 CREATE_NODE id=n_087c8d841a3b node_type=claim\nt=0010 CREATE_NODE id=n_73fd917cc77b node_type=claim\nt=0011 CREATE_NODE id=n_bdc9a4d58149 node_type=claim\nt=0012 CREATE_NODE id=n_08f21816d8fc node_type=claim\nt=0013 CREATE_NODE id=n_85df4f3e5561 node_type=claim\nt=0014 CREATE_NODE id=n_f24093ed69e9 node_type=claim\nt=0015 CREATE_NODE id=n_65f2b6955afd node_type=claim\nt=0016 CREATE_NODE id=n_b9d1acd1cae4 node_type=claim\nt=0017 CREATE_NODE id=n_3db4718c682a node_type=claim\nt=0018 CREATE_NODE id=n_7b87e17c55f7 node_type=claim\nt=0019 CREATE_NODE id=n_66e6875fc465 node_type=claim\nt=0020 CREATE_NODE id=n_6935fa1093e9 node_type=claim\nt=0021 CREATE_NODE id=n_dd6136647740 node_type=claim\nt=0022 CREATE_NODE id=n_36ae7bf8b367 node_type=claim\nt=0023 CREATE_NODE id=n_625eba290c44 node_type=claim\nt=0024 CREATE_NODE id=n_286a56da1759 node_type=claim\nt=0025 CREATE_NODE id=n_c54173c28b9a node_type=claim\nt=0026 CREATE_NODE id=n_3096c75f8db0 node_type=claim\nt=0027 CREATE_NODE id=n_07eb1f89e02c node_type=claim\nt=0028 ASSERT_ROOT node=n_65f2b6955afd value=TRUE\nt=0029 ADD_EDGE edge_id=e_f9fa382485db source=n_d81be95b5240 edge_type=supports target=n_d9fab7111362\nt=0030 ADD_EDGE edge_id=e_48cf6c3a7090 source=n_d93a2e7f6070 edge_type=supports target=n_dd6136647740\nt=0031 ADD_EDGE edge_id=e_480139be1cef source=n_f4fc0ddadbb7 edge_type=refutes target=n_3bbc63c9e18c\nt=0032 ADD_EDGE edge_id=e_16584f853732 source=n_625eba290c44 edge_type=supports target=n_c54173c28b9a\nt=0033 ADD_EDGE edge_id=e_029ae8f7805c source=n_65f2b6955afd edge_type=supports target=n_85df4f3e5561\nt=0034 ADD_EDGE edge_id=e_b999e6ebdea6 source=n_36f9d9a7e240 edge_type=refutes target=n_66e6875fc465\nt=0035 ADD_EDGE edge_id=e_ddc8bc9e86be source=n_560de19c0d75 edge_type=supports target=n_7b87e17c55f7\nt=0036 ADD_EDGE edge_id=e_4fd8bd7b3435 source=n_c54173c28b9a edge_type=refutes target=n_08f21816d8fc\nt=0037 ADD_EDGE edge_id=e_0ef8c9bafc0b source=n_3096c75f8db0 edge_type=supports target=n_36f9d9a7e240\nt=0038 ADD_EDGE edge_id=e_3d013936d4a1 source=n_d93a2e7f6070 edge_type=supports target=n_560de19c0d75\nt=0039 ADD_EDGE edge_id=e_11dc54f464c6 source=n_f4fc0ddadbb7 edge_type=refutes target=n_3db4718c682a\nt=0040 ADD_EDGE edge_id=e_1d62d8cdf75a source=n_286a56da1759 edge_type=refutes target=n_f4fc0ddadbb7\nt=0041 ADD_EDGE edge_id=e_44ab471704c5 source=n_d9fab7111362 edge_type=supports target=n_73fd917cc77b\nt=0042 ADD_EDGE edge_id=e_5e2f27a49278 source=n_dd6136647740 edge_type=refutes target=n_a23db164f7f3\nt=0043 ADD_EDGE edge_id=e_425676666980 source=n_286a56da1759 edge_type=supports target=n_f24093ed69e9\nt=0044 ADD_EDGE edge_id=e_57fe526c9600 source=n_d9fab7111362 edge_type=refutes target=n_36ae7bf8b367\nt=0045 ADD_EDGE edge_id=e_7f16a55cee94 source=n_c54173c28b9a edge_type=refutes target=n_d81be95b5240\nt=0046 ADD_EDGE edge_id=e_5bcbcf3b027b source=n_d93a2e7f6070 edge_type=refutes target=n_286a56da1759\nt=0047 ADD_EDGE edge_id=e_64a395019641 source=n_6935fa1093e9 edge_type=refutes target=n_07eb1f89e02c\nt=0048 ADD_EDGE edge_id=e_8f750840e9d0 source=n_66e6875fc465 edge_type=supports target=n_625eba290c44\nt=0049 ADD_EDGE edge_id=e_61100fec9bc6 source=n_d81be95b5240 edge_type=refutes target=n_bdc9a4d58149\nt=0050 ADD_EDGE edge_id=e_217d0472fce9 source=n_c54173c28b9a edge_type=supports target=n_b9d1acd1cae4\nt=0051 ADD_EDGE edge_id=e_371ebb543d9c source=n_85df4f3e5561 edge_type=supports target=n_3096c75f8db0\nt=0052 ADD_EDGE edge_id=e_c0787570abb4 source=n_dd6136647740 edge_type=refutes target=n_7d5b67dfea9b\nt=0053 ADD_EDGE edge_id=e_ec8ee134704f source=n_286a56da1759 edge_type=supports target=n_6935fa1093e9\nt=0054 ADD_EDGE edge_id=e_a4cdcd76d5d1 source=n_f4fc0ddadbb7 edge_type=refutes target=n_087c8d841a3b\nt=0055 QUERY source=n_65f2b6955afd target=n_73fd917cc77b\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2627,"provenance":{"base_record_id":"train-d09-008","dataset":"livegraph-deterministic-parity-v3","depth":9,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d09-008","split":"train","variant":"clean"},"record_seed":564233433935165687,"render_sha256":"9685d66f5b5d26de8d81d7833ae1cc3a0fb9e832b6920978527e95419c4989ac","representation":"linear_trace","semantic_sha256":"229b69b5733bf5e3ed0d3cdc8d76bdb5d1a4ead31ea02e2a0abacb50a0d054ea"}
{"char_count":4775,"item_id":"train-d09-009::linear_trace","label":"FALSE","lexical_token_proxy_count":816,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_d035f79ebd2b node_type=claim\nt=0001 CREATE_NODE id=n_2acff19306b6 node_type=claim\nt=0002 CREATE_NODE id=n_40a5bc345e80 node_type=claim\nt=0003 CREATE_NODE id=n_316ca6dcc2aa node_type=claim\nt=0004 CREATE_NODE id=n_5354f42faee8 node_type=claim\nt=0005 CREATE_NODE id=n_4951ff5aeee3 node_type=claim\nt=0006 CREATE_NODE id=n_d96e98592eca node_type=claim\nt=0007 CREATE_NODE id=n_cde330c0932d node_type=claim\nt=0008 CREATE_NODE id=n_7586b0c56ff3 node_type=claim\nt=0009 CREATE_NODE id=n_3c7e6ef94d7e node_type=claim\nt=0010 CREATE_NODE id=n_dc93efee5417 node_type=claim\nt=0011 CREATE_NODE id=n_04f16305dd75 node_type=claim\nt=0012 CREATE_NODE id=n_8f83bea0c50c node_type=claim\nt=0013 CREATE_NODE id=n_dd8f11ab92bf node_type=claim\nt=0014 CREATE_NODE id=n_1822e6d70a1c node_type=claim\nt=0015 CREATE_NODE id=n_01beb0bccf19 node_type=claim\nt=0016 CREATE_NODE id=n_134d59054ba3 node_type=claim\nt=0017 CREATE_NODE id=n_8f88bcb44574 node_type=claim\nt=0018 CREATE_NODE id=n_5bc2221a13c0 node_type=claim\nt=0019 CREATE_NODE id=n_e4e6f8ce24b4 node_type=claim\nt=0020 CREATE_NODE id=n_363f819eb119 node_type=claim\nt=0021 CREATE_NODE id=n_1c7d9c637d1d node_type=claim\nt=0022 CREATE_NODE id=n_bf502bb8867f node_type=claim\nt=0023 CREATE_NODE id=n_1dccdcbca7fd node_type=claim\nt=0024 CREATE_NODE id=n_1bbde5f02d25 node_type=claim\nt=0025 CREATE_NODE id=n_9fe88cda9b6c node_type=claim\nt=0026 CREATE_NODE id=n_2974d6c0bd4d node_type=claim\nt=0027 CREATE_NODE id=n_0a826a725cb0 node_type=claim\nt=0028 ASSERT_ROOT node=n_5354f42faee8 value=TRUE\nt=0029 ADD_EDGE edge_id=e_8cf67b3506e4 source=n_9fe88cda9b6c edge_type=refutes target=n_2974d6c0bd4d\nt=0030 ADD_EDGE edge_id=e_252d6c8cee7d source=n_cde330c0932d edge_type=refutes target=n_2acff19306b6\nt=0031 ADD_EDGE edge_id=e_3e527304ac7d source=n_363f819eb119 edge_type=supports target=n_cde330c0932d\nt=0032 ADD_EDGE edge_id=e_506abd38fe2e source=n_5bc2221a13c0 edge_type=supports target=n_316ca6dcc2aa\nt=0033 ADD_EDGE edge_id=e_f143ddf7301b source=n_1c7d9c637d1d edge_type=supports target=n_4951ff5aeee3\nt=0034 ADD_EDGE edge_id=e_9de05f01899f source=n_363f819eb119 edge_type=refutes target=n_5bc2221a13c0\nt=0035 ADD_EDGE edge_id=e_82ecc6c0b947 source=n_dc93efee5417 edge_type=supports target=n_1bbde5f02d25\nt=0036 ADD_EDGE edge_id=e_1d58bd112b58 source=n_1bbde5f02d25 edge_type=supports target=n_8f83bea0c50c\nt=0037 ADD_EDGE edge_id=e_c39df7ea7d18 source=n_e4e6f8ce24b4 edge_type=refutes target=n_40a5bc345e80\nt=0038 ADD_EDGE edge_id=e_cd0f1660a29f source=n_3c7e6ef94d7e edge_type=refutes target=n_8f88bcb44574\nt=0039 ADD_EDGE edge_id=e_294d8fb09000 source=n_316ca6dcc2aa edge_type=supports target=n_1822e6d70a1c\nt=0040 ADD_EDGE edge_id=e_62bcc5ffd2a0 source=n_363f819eb119 edge_type=refutes target=n_134d59054ba3\nt=0041 ADD_EDGE edge_id=e_6a20d0945374 source=n_d035f79ebd2b edge_type=refutes target=n_bf502bb8867f\nt=0042 ADD_EDGE edge_id=e_bfd46921cb24 source=n_8f83bea0c50c edge_type=refutes target=n_dd8f11ab92bf\nt=0043 ADD_EDGE edge_id=e_ea28cf2afa3a source=n_4951ff5aeee3 edge_type=supports target=n_1dccdcbca7fd\nt=0044 ADD_EDGE edge_id=e_66f640cfcfdf source=n_363f819eb119 edge_type=refutes target=n_e4e6f8ce24b4\nt=0045 ADD_EDGE edge_id=e_e84b624c6fe5 source=n_4951ff5aeee3 edge_type=supports target=n_0a826a725cb0\nt=0046 ADD_EDGE edge_id=e_ec9e995a5827 source=n_8f83bea0c50c edge_type=supports target=n_9fe88cda9b6c\nt=0047 ADD_EDGE edge_id=e_97cb78caba51 source=n_cde330c0932d edge_type=supports target=n_d035f79ebd2b\nt=0048 ADD_EDGE edge_id=e_0eb3ae2afd16 source=n_1dccdcbca7fd edge_type=supports target=n_dc93efee5417\nt=0049 ADD_EDGE edge_id=e_225cdeeb24e1 source=n_cde330c0932d edge_type=refutes target=n_7586b0c56ff3\nt=0050 ADD_EDGE edge_id=e_7c3e36f2deb0 source=n_363f819eb119 edge_type=refutes target=n_d96e98592eca\nt=0051 ADD_EDGE edge_id=e_5944ddfa22e6 source=n_1c7d9c637d1d edge_type=refutes target=n_04f16305dd75\nt=0052 ADD_EDGE edge_id=e_809b39a99fe7 source=n_5354f42faee8 edge_type=supports target=n_1c7d9c637d1d\nt=0053 ADD_EDGE edge_id=e_a61ea89b3b4e source=n_e4e6f8ce24b4 edge_type=refutes target=n_01beb0bccf19\nt=0054 ADD_EDGE edge_id=e_a689dbe2e4c2 source=n_2974d6c0bd4d edge_type=supports target=n_3c7e6ef94d7e\nt=0055 QUERY source=n_5354f42faee8 target=n_3c7e6ef94d7e\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2580,"provenance":{"base_record_id":"train-d09-009","dataset":"livegraph-deterministic-parity-v3","depth":9,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d09-009","split":"train","variant":"clean"},"record_seed":513612545870683736,"render_sha256":"49312b07e01175f448b865f7593de4dc95e1e5e6b316c63b41a029c8df261c44","representation":"linear_trace","semantic_sha256":"86af0f2f82ded96477d56e006e191abaa7974d6279d4cb5cd774f9eef023033a"}
{"char_count":4776,"item_id":"train-d09-010::linear_trace","label":"TRUE","lexical_token_proxy_count":816,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_09a38a6d165f node_type=claim\nt=0001 CREATE_NODE id=n_869439f1b88d node_type=claim\nt=0002 CREATE_NODE id=n_a5aefce2da1c node_type=claim\nt=0003 CREATE_NODE id=n_6ae24fd89691 node_type=claim\nt=0004 CREATE_NODE id=n_6b05e359af02 node_type=claim\nt=0005 CREATE_NODE id=n_52002b894f12 node_type=claim\nt=0006 CREATE_NODE id=n_84d02476b577 node_type=claim\nt=0007 CREATE_NODE id=n_cec5a4cc5f8b node_type=claim\nt=0008 CREATE_NODE id=n_b76d9ea8112e node_type=claim\nt=0009 CREATE_NODE id=n_f467657ca85e node_type=claim\nt=0010 CREATE_NODE id=n_7966e0b9c2b4 node_type=claim\nt=0011 CREATE_NODE id=n_e124feec4ed4 node_type=claim\nt=0012 CREATE_NODE id=n_a288a825b454 node_type=claim\nt=0013 CREATE_NODE id=n_d63e46b48f24 node_type=claim\nt=0014 CREATE_NODE id=n_dab787222144 node_type=claim\nt=0015 CREATE_NODE id=n_546395afedaf node_type=claim\nt=0016 CREATE_NODE id=n_3a582b05125d node_type=claim\nt=0017 CREATE_NODE id=n_1b5d7d69a548 node_type=claim\nt=0018 CREATE_NODE id=n_3a8703e33a85 node_type=claim\nt=0019 CREATE_NODE id=n_8689543e8b3b node_type=claim\nt=0020 CREATE_NODE id=n_1e58fbdf8192 node_type=claim\nt=0021 CREATE_NODE id=n_37ade83a12a2 node_type=claim\nt=0022 CREATE_NODE id=n_cbeb6d17c948 node_type=claim\nt=0023 CREATE_NODE id=n_98aaf9a7e4d6 node_type=claim\nt=0024 CREATE_NODE id=n_491da2b8b76d node_type=claim\nt=0025 CREATE_NODE id=n_48c5530c41c1 node_type=claim\nt=0026 CREATE_NODE id=n_5ebcab6bec0e node_type=claim\nt=0027 CREATE_NODE id=n_28157da1413e node_type=claim\nt=0028 ASSERT_ROOT node=n_8689543e8b3b value=FALSE\nt=0029 ADD_EDGE edge_id=e_da750c8802c3 source=n_48c5530c41c1 edge_type=supports target=n_1b5d7d69a548\nt=0030 ADD_EDGE edge_id=e_bc447fbc1a4d source=n_a5aefce2da1c edge_type=supports target=n_6b05e359af02\nt=0031 ADD_EDGE edge_id=e_38044a1df55b source=n_7966e0b9c2b4 edge_type=supports target=n_869439f1b88d\nt=0032 ADD_EDGE edge_id=e_4ef2089fe228 source=n_546395afedaf edge_type=supports target=n_b76d9ea8112e\nt=0033 ADD_EDGE edge_id=e_ba19f3fc61b1 source=n_6ae24fd89691 edge_type=refutes target=n_e124feec4ed4\nt=0034 ADD_EDGE edge_id=e_9b6f0d54e7b5 source=n_5ebcab6bec0e edge_type=supports target=n_1e58fbdf8192\nt=0035 ADD_EDGE edge_id=e_51371be97bb8 source=n_48c5530c41c1 edge_type=refutes target=n_dab787222144\nt=0036 ADD_EDGE edge_id=e_d69b1401c5c8 source=n_5ebcab6bec0e edge_type=supports target=n_3a582b05125d\nt=0037 ADD_EDGE edge_id=e_7a86808b3b4c source=n_1b5d7d69a548 edge_type=supports target=n_37ade83a12a2\nt=0038 ADD_EDGE edge_id=e_de6feda1e063 source=n_28157da1413e edge_type=refutes target=n_cec5a4cc5f8b\nt=0039 ADD_EDGE edge_id=e_6dbdea27fc45 source=n_8689543e8b3b edge_type=supports target=n_48c5530c41c1\nt=0040 ADD_EDGE edge_id=e_dc864fd4a3a3 source=n_6ae24fd89691 edge_type=refutes target=n_5ebcab6bec0e\nt=0041 ADD_EDGE edge_id=e_6857c2285782 source=n_3a8703e33a85 edge_type=refutes target=n_cbeb6d17c948\nt=0042 ADD_EDGE edge_id=e_5c66ae5f0c62 source=n_cec5a4cc5f8b edge_type=refutes target=n_7966e0b9c2b4\nt=0043 ADD_EDGE edge_id=e_3ac241a04107 source=n_546395afedaf edge_type=refutes target=n_09a38a6d165f\nt=0044 ADD_EDGE edge_id=e_9c63f4e99e5a source=n_cec5a4cc5f8b edge_type=supports target=n_491da2b8b76d\nt=0045 ADD_EDGE edge_id=e_3f6b0d87efff source=n_869439f1b88d edge_type=refutes target=n_a288a825b454\nt=0046 ADD_EDGE edge_id=e_b85ba99d2d6c source=n_a288a825b454 edge_type=supports target=n_a5aefce2da1c\nt=0047 ADD_EDGE edge_id=e_20b92147f0d0 source=n_e124feec4ed4 edge_type=supports target=n_84d02476b577\nt=0048 ADD_EDGE edge_id=e_f18bc4153c81 source=n_1e58fbdf8192 edge_type=refutes target=n_f467657ca85e\nt=0049 ADD_EDGE edge_id=e_d10a8b9d53eb source=n_cec5a4cc5f8b edge_type=supports target=n_52002b894f12\nt=0050 ADD_EDGE edge_id=e_3566cb69f52a source=n_3a582b05125d edge_type=refutes target=n_3a8703e33a85\nt=0051 ADD_EDGE edge_id=e_b98242efadd8 source=n_1b5d7d69a548 edge_type=supports target=n_28157da1413e\nt=0052 ADD_EDGE edge_id=e_dff02cfac3d6 source=n_b76d9ea8112e edge_type=refutes target=n_6ae24fd89691\nt=0053 ADD_EDGE edge_id=e_499075dda558 source=n_5ebcab6bec0e edge_type=refutes target=n_d63e46b48f24\nt=0054 ADD_EDGE edge_id=e_d5dd04cbaf79 source=n_cbeb6d17c948 edge_type=refutes target=n_98aaf9a7e4d6\nt=0055 QUERY source=n_8689543e8b3b target=n_6b05e359af02\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2621,"provenance":{"base_record_id":"train-d09-010","dataset":"livegraph-deterministic-parity-v3","depth":9,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d09-010","split":"train","variant":"clean"},"record_seed":848250401381752277,"render_sha256":"d95fae653d1ba5e26115d3fdfcd0d3b4c1b0e76e6f0a6926953dec042be42998","representation":"linear_trace","semantic_sha256":"295b1d0d77625f719ecdd3c8da9b667987119d40d85fbd60dd1c4c3fbc1e470c"}
{"char_count":4776,"item_id":"train-d09-011::linear_trace","label":"FALSE","lexical_token_proxy_count":816,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_5c3a2c757517 node_type=claim\nt=0001 CREATE_NODE id=n_7e52a7558c1c node_type=claim\nt=0002 CREATE_NODE id=n_0ac51423a14f node_type=claim\nt=0003 CREATE_NODE id=n_a26cc92f5241 node_type=claim\nt=0004 CREATE_NODE id=n_21b5f6c77a98 node_type=claim\nt=0005 CREATE_NODE id=n_2fd65d014546 node_type=claim\nt=0006 CREATE_NODE id=n_5b5aea156650 node_type=claim\nt=0007 CREATE_NODE id=n_8a26ebf9d77d node_type=claim\nt=0008 CREATE_NODE id=n_6b48f3bfbdbc node_type=claim\nt=0009 CREATE_NODE id=n_3d4b0413dd73 node_type=claim\nt=0010 CREATE_NODE id=n_53cfaed68d99 node_type=claim\nt=0011 CREATE_NODE id=n_ae231b51d9de node_type=claim\nt=0012 CREATE_NODE id=n_046edf29b1d7 node_type=claim\nt=0013 CREATE_NODE id=n_47f9f098dea7 node_type=claim\nt=0014 CREATE_NODE id=n_d083bac6dae0 node_type=claim\nt=0015 CREATE_NODE id=n_6422dd6a2544 node_type=claim\nt=0016 CREATE_NODE id=n_3c67893a04dc node_type=claim\nt=0017 CREATE_NODE id=n_5b54afec0621 node_type=claim\nt=0018 CREATE_NODE id=n_e4752b1c3335 node_type=claim\nt=0019 CREATE_NODE id=n_b6c5cfee101e node_type=claim\nt=0020 CREATE_NODE id=n_433a749c5a71 node_type=claim\nt=0021 CREATE_NODE id=n_c7ddbc3746f6 node_type=claim\nt=0022 CREATE_NODE id=n_b6a9f118265b node_type=claim\nt=0023 CREATE_NODE id=n_cb2de0f53e1e node_type=claim\nt=0024 CREATE_NODE id=n_66238deb52d6 node_type=claim\nt=0025 CREATE_NODE id=n_fbf499b5af6c node_type=claim\nt=0026 CREATE_NODE id=n_548f2c447eca node_type=claim\nt=0027 CREATE_NODE id=n_741b75ed120b node_type=claim\nt=0028 ASSERT_ROOT node=n_b6c5cfee101e value=FALSE\nt=0029 ADD_EDGE edge_id=e_194d69654925 source=n_21b5f6c77a98 edge_type=supports target=n_a26cc92f5241\nt=0030 ADD_EDGE edge_id=e_fbcf17bafd93 source=n_7e52a7558c1c edge_type=supports target=n_53cfaed68d99\nt=0031 ADD_EDGE edge_id=e_f137201df865 source=n_5b5aea156650 edge_type=supports target=n_cb2de0f53e1e\nt=0032 ADD_EDGE edge_id=e_f4a24e8a3166 source=n_a26cc92f5241 edge_type=refutes target=n_fbf499b5af6c\nt=0033 ADD_EDGE edge_id=e_a2bb0201fc69 source=n_3d4b0413dd73 edge_type=supports target=n_433a749c5a71\nt=0034 ADD_EDGE edge_id=e_7c6340803ef9 source=n_d083bac6dae0 edge_type=supports target=n_21b5f6c77a98\nt=0035 ADD_EDGE edge_id=e_267de1f16512 source=n_47f9f098dea7 edge_type=refutes target=n_5b5aea156650\nt=0036 ADD_EDGE edge_id=e_17a931fafe6c source=n_433a749c5a71 edge_type=supports target=n_d083bac6dae0\nt=0037 ADD_EDGE edge_id=e_01862835b1a6 source=n_b6a9f118265b edge_type=refutes target=n_3c67893a04dc\nt=0038 ADD_EDGE edge_id=e_73a384d52437 source=n_046edf29b1d7 edge_type=supports target=n_8a26ebf9d77d\nt=0039 ADD_EDGE edge_id=e_90809f46a47a source=n_a26cc92f5241 edge_type=supports target=n_5c3a2c757517\nt=0040 ADD_EDGE edge_id=e_88100ccfeb89 source=n_b6a9f118265b edge_type=refutes target=n_7e52a7558c1c\nt=0041 ADD_EDGE edge_id=e_42719c7131c9 source=n_741b75ed120b edge_type=refutes target=n_548f2c447eca\nt=0042 ADD_EDGE edge_id=e_bbd22a78b4bc source=n_6422dd6a2544 edge_type=refutes target=n_2fd65d014546\nt=0043 ADD_EDGE edge_id=e_18f4a64a44c9 source=n_046edf29b1d7 edge_type=refutes target=n_c7ddbc3746f6\nt=0044 ADD_EDGE edge_id=e_4ba95a77af8d source=n_ae231b51d9de edge_type=refutes target=n_046edf29b1d7\nt=0045 ADD_EDGE edge_id=e_6dcda93afead source=n_b6a9f118265b edge_type=refutes target=n_47f9f098dea7\nt=0046 ADD_EDGE edge_id=e_3bddf4e2a268 source=n_6422dd6a2544 edge_type=supports target=n_3d4b0413dd73\nt=0047 ADD_EDGE edge_id=e_86cfc5007705 source=n_7e52a7558c1c edge_type=supports target=n_ae231b51d9de\nt=0048 ADD_EDGE edge_id=e_f523f4d5b860 source=n_e4752b1c3335 edge_type=supports target=n_5b54afec0621\nt=0049 ADD_EDGE edge_id=e_8c2305ebb23e source=n_548f2c447eca edge_type=supports target=n_6422dd6a2544\nt=0050 ADD_EDGE edge_id=e_8601d4015fc3 source=n_21b5f6c77a98 edge_type=refutes target=n_0ac51423a14f\nt=0051 ADD_EDGE edge_id=e_8b0fd457443b source=n_b6c5cfee101e edge_type=refutes target=n_741b75ed120b\nt=0052 ADD_EDGE edge_id=e_dd1fd36c8422 source=n_b6a9f118265b edge_type=supports target=n_e4752b1c3335\nt=0053 ADD_EDGE edge_id=e_36960fc1929d source=n_7e52a7558c1c edge_type=refutes target=n_6b48f3bfbdbc\nt=0054 ADD_EDGE edge_id=e_7f1cbe926cc3 source=n_433a749c5a71 edge_type=refutes target=n_66238deb52d6\nt=0055 QUERY source=n_b6c5cfee101e target=n_5c3a2c757517\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2635,"provenance":{"base_record_id":"train-d09-011","dataset":"livegraph-deterministic-parity-v3","depth":9,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d09-011","split":"train","variant":"clean"},"record_seed":117632896858986427,"render_sha256":"36222280506e26be40a84687ec92d446ff3239e1b36f6da684c03c94e65ece45","representation":"linear_trace","semantic_sha256":"d4520f2d9371bf35f4162e2dcd2b6c9254b7def9e3dac8565402f1f266837db0"}
{"char_count":4775,"item_id":"train-d09-012::linear_trace","label":"TRUE","lexical_token_proxy_count":816,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_dbaff262daee node_type=claim\nt=0001 CREATE_NODE id=n_18bfb204fd3b node_type=claim\nt=0002 CREATE_NODE id=n_533903edd256 node_type=claim\nt=0003 CREATE_NODE id=n_aeb24a6b3313 node_type=claim\nt=0004 CREATE_NODE id=n_a62f9129fc2b node_type=claim\nt=0005 CREATE_NODE id=n_6bd7e9b1074a node_type=claim\nt=0006 CREATE_NODE id=n_281f830682a6 node_type=claim\nt=0007 CREATE_NODE id=n_5c94e8c95b78 node_type=claim\nt=0008 CREATE_NODE id=n_ef67f33abb7a node_type=claim\nt=0009 CREATE_NODE id=n_6e7e957b8a8a node_type=claim\nt=0010 CREATE_NODE id=n_70918d745685 node_type=claim\nt=0011 CREATE_NODE id=n_54c0fecde476 node_type=claim\nt=0012 CREATE_NODE id=n_5c65465fd6d6 node_type=claim\nt=0013 CREATE_NODE id=n_a50aad657e25 node_type=claim\nt=0014 CREATE_NODE id=n_8b75ee2647f2 node_type=claim\nt=0015 CREATE_NODE id=n_b79e8cad77f0 node_type=claim\nt=0016 CREATE_NODE id=n_bb350e7c3734 node_type=claim\nt=0017 CREATE_NODE id=n_e2e9d7101ab7 node_type=claim\nt=0018 CREATE_NODE id=n_c1242251d317 node_type=claim\nt=0019 CREATE_NODE id=n_8084942d132e node_type=claim\nt=0020 CREATE_NODE id=n_a5ba6265c7e0 node_type=claim\nt=0021 CREATE_NODE id=n_cc0283a8eb8c node_type=claim\nt=0022 CREATE_NODE id=n_e89c19c668d1 node_type=claim\nt=0023 CREATE_NODE id=n_5c9d0587cb26 node_type=claim\nt=0024 CREATE_NODE id=n_fcf66ae0a638 node_type=claim\nt=0025 CREATE_NODE id=n_15ca8247b9fa node_type=claim\nt=0026 CREATE_NODE id=n_35aa65795544 node_type=claim\nt=0027 CREATE_NODE id=n_724f0b94c797 node_type=claim\nt=0028 ASSERT_ROOT node=n_bb350e7c3734 value=TRUE\nt=0029 ADD_EDGE edge_id=e_76198256abef source=n_6bd7e9b1074a edge_type=supports target=n_a5ba6265c7e0\nt=0030 ADD_EDGE edge_id=e_d6723359a948 source=n_a62f9129fc2b edge_type=supports target=n_fcf66ae0a638\nt=0031 ADD_EDGE edge_id=e_ffbebd507b00 source=n_a62f9129fc2b edge_type=supports target=n_5c65465fd6d6\nt=0032 ADD_EDGE edge_id=e_848e5fddef12 source=n_a5ba6265c7e0 edge_type=refutes target=n_54c0fecde476\nt=0033 ADD_EDGE edge_id=e_72cf40ccef4e source=n_724f0b94c797 edge_type=supports target=n_e89c19c668d1\nt=0034 ADD_EDGE edge_id=e_caac33e62308 source=n_533903edd256 edge_type=refutes target=n_35aa65795544\nt=0035 ADD_EDGE edge_id=e_92c2744c298a source=n_15ca8247b9fa edge_type=supports target=n_70918d745685\nt=0036 ADD_EDGE edge_id=e_ed8c3c951fd9 source=n_c1242251d317 edge_type=supports target=n_6bd7e9b1074a\nt=0037 ADD_EDGE edge_id=e_84f7c8e0e36a source=n_724f0b94c797 edge_type=refutes target=n_aeb24a6b3313\nt=0038 ADD_EDGE edge_id=e_a933a54c9a31 source=n_724f0b94c797 edge_type=supports target=n_a62f9129fc2b\nt=0039 ADD_EDGE edge_id=e_a4e2ba83f1f8 source=n_e2e9d7101ab7 edge_type=refutes target=n_ef67f33abb7a\nt=0040 ADD_EDGE edge_id=e_0ea607d98351 source=n_5c94e8c95b78 edge_type=refutes target=n_5c9d0587cb26\nt=0041 ADD_EDGE edge_id=e_bbfa23e3c20d source=n_5c65465fd6d6 edge_type=refutes target=n_18bfb204fd3b\nt=0042 ADD_EDGE edge_id=e_670f4a92aef6 source=n_8b75ee2647f2 edge_type=supports target=n_6e7e957b8a8a\nt=0043 ADD_EDGE edge_id=e_e80220d152d3 source=n_a5ba6265c7e0 edge_type=refutes target=n_dbaff262daee\nt=0044 ADD_EDGE edge_id=e_8927efb53baa source=n_6e7e957b8a8a edge_type=refutes target=n_15ca8247b9fa\nt=0045 ADD_EDGE edge_id=e_43359a0a90e8 source=n_724f0b94c797 edge_type=supports target=n_5c94e8c95b78\nt=0046 ADD_EDGE edge_id=e_d60f82050a0a source=n_724f0b94c797 edge_type=supports target=n_cc0283a8eb8c\nt=0047 ADD_EDGE edge_id=e_e1ea8bdd3b69 source=n_54c0fecde476 edge_type=supports target=n_a50aad657e25\nt=0048 ADD_EDGE edge_id=e_a254452744f2 source=n_b79e8cad77f0 edge_type=refutes target=n_8b75ee2647f2\nt=0049 ADD_EDGE edge_id=e_a7d36c930991 source=n_fcf66ae0a638 edge_type=refutes target=n_e2e9d7101ab7\nt=0050 ADD_EDGE edge_id=e_a7c4f8405aa6 source=n_533903edd256 edge_type=supports target=n_c1242251d317\nt=0051 ADD_EDGE edge_id=e_713bf46a78f9 source=n_5c94e8c95b78 edge_type=refutes target=n_281f830682a6\nt=0052 ADD_EDGE edge_id=e_de4925f2272a source=n_fcf66ae0a638 edge_type=refutes target=n_8084942d132e\nt=0053 ADD_EDGE edge_id=e_b22db4ce2b13 source=n_15ca8247b9fa edge_type=refutes target=n_533903edd256\nt=0054 ADD_EDGE edge_id=e_23a83a047def source=n_bb350e7c3734 edge_type=supports target=n_b79e8cad77f0\nt=0055 QUERY source=n_bb350e7c3734 target=n_54c0fecde476\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2642,"provenance":{"base_record_id":"train-d09-012","dataset":"livegraph-deterministic-parity-v3","depth":9,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d09-012","split":"train","variant":"clean"},"record_seed":984738615379652054,"render_sha256":"b6cdf8975dc12fba962d823d83f713b78d505cfe4911f7894da7aa276c419a9d","representation":"linear_trace","semantic_sha256":"a68d305f9af6fc612bb5a3830d983c88f793a6f16e303ac622e5a7fb96b0d188"}
{"char_count":4775,"item_id":"train-d09-013::linear_trace","label":"FALSE","lexical_token_proxy_count":816,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_8d559fd8ed2c node_type=claim\nt=0001 CREATE_NODE id=n_1d0c8502fa94 node_type=claim\nt=0002 CREATE_NODE id=n_d5adf9bebd94 node_type=claim\nt=0003 CREATE_NODE id=n_f95d00125768 node_type=claim\nt=0004 CREATE_NODE id=n_a97af5d71feb node_type=claim\nt=0005 CREATE_NODE id=n_4a46e3354a50 node_type=claim\nt=0006 CREATE_NODE id=n_60d9f6c2de21 node_type=claim\nt=0007 CREATE_NODE id=n_ac4e3c84dd18 node_type=claim\nt=0008 CREATE_NODE id=n_1a4b323234c5 node_type=claim\nt=0009 CREATE_NODE id=n_67e43fdcd7ee node_type=claim\nt=0010 CREATE_NODE id=n_46531c04c816 node_type=claim\nt=0011 CREATE_NODE id=n_9062fe501b48 node_type=claim\nt=0012 CREATE_NODE id=n_5a601b1b6523 node_type=claim\nt=0013 CREATE_NODE id=n_a57e4989168b node_type=claim\nt=0014 CREATE_NODE id=n_7e62248a2511 node_type=claim\nt=0015 CREATE_NODE id=n_bcd127d0bd20 node_type=claim\nt=0016 CREATE_NODE id=n_681f8a08cc57 node_type=claim\nt=0017 CREATE_NODE id=n_13fb42167bcc node_type=claim\nt=0018 CREATE_NODE id=n_54e0fa1093af node_type=claim\nt=0019 CREATE_NODE id=n_d98ea9ea51c7 node_type=claim\nt=0020 CREATE_NODE id=n_f0237ed8de05 node_type=claim\nt=0021 CREATE_NODE id=n_df5da462664c node_type=claim\nt=0022 CREATE_NODE id=n_5d4e6fa5c71e node_type=claim\nt=0023 CREATE_NODE id=n_8d6af827e5ba node_type=claim\nt=0024 CREATE_NODE id=n_db3de8de3472 node_type=claim\nt=0025 CREATE_NODE id=n_7d7faa68baab node_type=claim\nt=0026 CREATE_NODE id=n_a610066792d2 node_type=claim\nt=0027 CREATE_NODE id=n_42650cf793f9 node_type=claim\nt=0028 ASSERT_ROOT node=n_5a601b1b6523 value=TRUE\nt=0029 ADD_EDGE edge_id=e_cabe8a5e76df source=n_8d559fd8ed2c edge_type=supports target=n_1a4b323234c5\nt=0030 ADD_EDGE edge_id=e_75fd320e0082 source=n_d98ea9ea51c7 edge_type=refutes target=n_42650cf793f9\nt=0031 ADD_EDGE edge_id=e_a887349eb216 source=n_bcd127d0bd20 edge_type=supports target=n_9062fe501b48\nt=0032 ADD_EDGE edge_id=e_4da9513afd5b source=n_1a4b323234c5 edge_type=refutes target=n_ac4e3c84dd18\nt=0033 ADD_EDGE edge_id=e_43b14718f364 source=n_1a4b323234c5 edge_type=supports target=n_df5da462664c\nt=0034 ADD_EDGE edge_id=e_0fbff10f513d source=n_ac4e3c84dd18 edge_type=refutes target=n_f95d00125768\nt=0035 ADD_EDGE edge_id=e_42654429a542 source=n_681f8a08cc57 edge_type=supports target=n_13fb42167bcc\nt=0036 ADD_EDGE edge_id=e_e24dd8216462 source=n_1a4b323234c5 edge_type=supports target=n_1d0c8502fa94\nt=0037 ADD_EDGE edge_id=e_1812b7f95b14 source=n_681f8a08cc57 edge_type=supports target=n_f0237ed8de05\nt=0038 ADD_EDGE edge_id=e_1a5d6ec2e06c source=n_7d7faa68baab edge_type=supports target=n_4a46e3354a50\nt=0039 ADD_EDGE edge_id=e_66cfc62fd64e source=n_42650cf793f9 edge_type=refutes target=n_54e0fa1093af\nt=0040 ADD_EDGE edge_id=e_9ab321b78fff source=n_60d9f6c2de21 edge_type=supports target=n_bcd127d0bd20\nt=0041 ADD_EDGE edge_id=e_c581c181e48d source=n_f95d00125768 edge_type=supports target=n_67e43fdcd7ee\nt=0042 ADD_EDGE edge_id=e_1f898ebe3d97 source=n_8d559fd8ed2c edge_type=refutes target=n_7e62248a2511\nt=0043 ADD_EDGE edge_id=e_4323f134167f source=n_4a46e3354a50 edge_type=supports target=n_d98ea9ea51c7\nt=0044 ADD_EDGE edge_id=e_e3967bb69e82 source=n_a610066792d2 edge_type=refutes target=n_d5adf9bebd94\nt=0045 ADD_EDGE edge_id=e_7e39066bf26a source=n_60d9f6c2de21 edge_type=refutes target=n_8d6af827e5ba\nt=0046 ADD_EDGE edge_id=e_0ee5cfe045a4 source=n_7d7faa68baab edge_type=refutes target=n_db3de8de3472\nt=0047 ADD_EDGE edge_id=e_9b107697b57b source=n_54e0fa1093af edge_type=refutes target=n_a610066792d2\nt=0048 ADD_EDGE edge_id=e_ae5cbfaeb4fc source=n_4a46e3354a50 edge_type=supports target=n_5d4e6fa5c71e\nt=0049 ADD_EDGE edge_id=e_59e0a52bcb5e source=n_8d559fd8ed2c edge_type=refutes target=n_60d9f6c2de21\nt=0050 ADD_EDGE edge_id=e_60e0daa870ac source=n_f0237ed8de05 edge_type=refutes target=n_7d7faa68baab\nt=0051 ADD_EDGE edge_id=e_792b37f6dc12 source=n_1a4b323234c5 edge_type=refutes target=n_a57e4989168b\nt=0052 ADD_EDGE edge_id=e_5358096bf6b8 source=n_9062fe501b48 edge_type=refutes target=n_46531c04c816\nt=0053 ADD_EDGE edge_id=e_74ac8f274136 source=n_42650cf793f9 edge_type=supports target=n_a97af5d71feb\nt=0054 ADD_EDGE edge_id=e_52a03fd38c28 source=n_5a601b1b6523 edge_type=supports target=n_681f8a08cc57\nt=0055 QUERY source=n_5a601b1b6523 target=n_d5adf9bebd94\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2613,"provenance":{"base_record_id":"train-d09-013","dataset":"livegraph-deterministic-parity-v3","depth":9,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d09-013","split":"train","variant":"clean"},"record_seed":854314257631798529,"render_sha256":"61248f1d367ba72ebd0b8aaddaf30cb37f42a4f4bbd626b2d93cc7e06bfde45d","representation":"linear_trace","semantic_sha256":"7823f2cbfa07dfb19659abd6079f17be9650dddca9919f3fcd8a3c69214fdc72"}
{"char_count":4776,"item_id":"train-d09-014::linear_trace","label":"TRUE","lexical_token_proxy_count":816,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_3de03346f3b3 node_type=claim\nt=0001 CREATE_NODE id=n_c16fd47cabbe node_type=claim\nt=0002 CREATE_NODE id=n_84cde0f27c65 node_type=claim\nt=0003 CREATE_NODE id=n_74f20ab60064 node_type=claim\nt=0004 CREATE_NODE id=n_f91328555d4e node_type=claim\nt=0005 CREATE_NODE id=n_ce11378e48e2 node_type=claim\nt=0006 CREATE_NODE id=n_8226f95e98d8 node_type=claim\nt=0007 CREATE_NODE id=n_1f0148206171 node_type=claim\nt=0008 CREATE_NODE id=n_e0d3fc8aecc8 node_type=claim\nt=0009 CREATE_NODE id=n_4ba8bea37820 node_type=claim\nt=0010 CREATE_NODE id=n_cf2aafbc2e1a node_type=claim\nt=0011 CREATE_NODE id=n_281afc8a4b68 node_type=claim\nt=0012 CREATE_NODE id=n_e972c4dae540 node_type=claim\nt=0013 CREATE_NODE id=n_d5914e41934a node_type=claim\nt=0014 CREATE_NODE id=n_e62e804e0b58 node_type=claim\nt=0015 CREATE_NODE id=n_deabb0e47f4e node_type=claim\nt=0016 CREATE_NODE id=n_2ce0ed4bf604 node_type=claim\nt=0017 CREATE_NODE id=n_497709cda861 node_type=claim\nt=0018 CREATE_NODE id=n_19bbbf1725a0 node_type=claim\nt=0019 CREATE_NODE id=n_8aff02bb9836 node_type=claim\nt=0020 CREATE_NODE id=n_4faa472ca342 node_type=claim\nt=0021 CREATE_NODE id=n_a29165305665 node_type=claim\nt=0022 CREATE_NODE id=n_18e4fcbde942 node_type=claim\nt=0023 CREATE_NODE id=n_9af74dc20b97 node_type=claim\nt=0024 CREATE_NODE id=n_eecde1e15a79 node_type=claim\nt=0025 CREATE_NODE id=n_c9de86ae3e02 node_type=claim\nt=0026 CREATE_NODE id=n_659066944caf node_type=claim\nt=0027 CREATE_NODE id=n_10e9d24e9c92 node_type=claim\nt=0028 ASSERT_ROOT node=n_659066944caf value=FALSE\nt=0029 ADD_EDGE edge_id=e_a9318ec6ff18 source=n_e62e804e0b58 edge_type=refutes target=n_18e4fcbde942\nt=0030 ADD_EDGE edge_id=e_185cf45c2536 source=n_497709cda861 edge_type=supports target=n_281afc8a4b68\nt=0031 ADD_EDGE edge_id=e_d82fa5915881 source=n_e0d3fc8aecc8 edge_type=supports target=n_e972c4dae540\nt=0032 ADD_EDGE edge_id=e_d32923152d70 source=n_659066944caf edge_type=supports target=n_e62e804e0b58\nt=0033 ADD_EDGE edge_id=e_0d64f92f6408 source=n_e972c4dae540 edge_type=refutes target=n_3de03346f3b3\nt=0034 ADD_EDGE edge_id=e_0c87b419f30e source=n_deabb0e47f4e edge_type=supports target=n_9af74dc20b97\nt=0035 ADD_EDGE edge_id=e_37d2e0b1aff5 source=n_10e9d24e9c92 edge_type=refutes target=n_74f20ab60064\nt=0036 ADD_EDGE edge_id=e_ab26ef0779d4 source=n_4ba8bea37820 edge_type=supports target=n_19bbbf1725a0\nt=0037 ADD_EDGE edge_id=e_ae6c57327754 source=n_4faa472ca342 edge_type=supports target=n_f91328555d4e\nt=0038 ADD_EDGE edge_id=e_edf2760bc55d source=n_1f0148206171 edge_type=refutes target=n_c9de86ae3e02\nt=0039 ADD_EDGE edge_id=e_8e251f81d228 source=n_c9de86ae3e02 edge_type=refutes target=n_10e9d24e9c92\nt=0040 ADD_EDGE edge_id=e_331946562a74 source=n_19bbbf1725a0 edge_type=supports target=n_d5914e41934a\nt=0041 ADD_EDGE edge_id=e_765ede61006a source=n_10e9d24e9c92 edge_type=supports target=n_4faa472ca342\nt=0042 ADD_EDGE edge_id=e_16aca62f1f4a source=n_e62e804e0b58 edge_type=supports target=n_deabb0e47f4e\nt=0043 ADD_EDGE edge_id=e_e9b96d4a8e4d source=n_19bbbf1725a0 edge_type=refutes target=n_84cde0f27c65\nt=0044 ADD_EDGE edge_id=e_69631edb741b source=n_ce11378e48e2 edge_type=refutes target=n_c16fd47cabbe\nt=0045 ADD_EDGE edge_id=e_8a9fef7b4997 source=n_e0d3fc8aecc8 edge_type=refutes target=n_a29165305665\nt=0046 ADD_EDGE edge_id=e_561e2bb34a2d source=n_1f0148206171 edge_type=refutes target=n_e0d3fc8aecc8\nt=0047 ADD_EDGE edge_id=e_e20cf235eeda source=n_2ce0ed4bf604 edge_type=supports target=n_cf2aafbc2e1a\nt=0048 ADD_EDGE edge_id=e_f5c0e8326029 source=n_e0d3fc8aecc8 edge_type=refutes target=n_8aff02bb9836\nt=0049 ADD_EDGE edge_id=e_2446484e4808 source=n_281afc8a4b68 edge_type=refutes target=n_ce11378e48e2\nt=0050 ADD_EDGE edge_id=e_e87c803a61b7 source=n_84cde0f27c65 edge_type=refutes target=n_8226f95e98d8\nt=0051 ADD_EDGE edge_id=e_da06805cc63b source=n_84cde0f27c65 edge_type=supports target=n_497709cda861\nt=0052 ADD_EDGE edge_id=e_328821eeba44 source=n_deabb0e47f4e edge_type=supports target=n_4ba8bea37820\nt=0053 ADD_EDGE edge_id=e_2a119f3554dd source=n_4faa472ca342 edge_type=refutes target=n_2ce0ed4bf604\nt=0054 ADD_EDGE edge_id=e_27b407887ff6 source=n_4faa472ca342 edge_type=supports target=n_eecde1e15a79\nt=0055 QUERY source=n_659066944caf target=n_c16fd47cabbe\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2603,"provenance":{"base_record_id":"train-d09-014","dataset":"livegraph-deterministic-parity-v3","depth":9,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d09-014","split":"train","variant":"clean"},"record_seed":800581089271217043,"render_sha256":"028b27b7f2dd9b10c0526fdfb39e5646286f429fb8ee995fe6ba9facb6cdc266","representation":"linear_trace","semantic_sha256":"3b572c9b03a15bfa2a4e9a3ed806ef7649049d076c6cb52dd6423ee6ce6667da"}
{"char_count":4776,"item_id":"train-d09-015::linear_trace","label":"FALSE","lexical_token_proxy_count":816,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_ecedbfbf0546 node_type=claim\nt=0001 CREATE_NODE id=n_04073b29f1ea node_type=claim\nt=0002 CREATE_NODE id=n_04a94709ccf6 node_type=claim\nt=0003 CREATE_NODE id=n_8d14d86dafc0 node_type=claim\nt=0004 CREATE_NODE id=n_7c2ca67a75cc node_type=claim\nt=0005 CREATE_NODE id=n_e20ad488e065 node_type=claim\nt=0006 CREATE_NODE id=n_b4403343dd68 node_type=claim\nt=0007 CREATE_NODE id=n_1d54a44f44bf node_type=claim\nt=0008 CREATE_NODE id=n_40e9aa7891df node_type=claim\nt=0009 CREATE_NODE id=n_877aec425450 node_type=claim\nt=0010 CREATE_NODE id=n_1822627610fa node_type=claim\nt=0011 CREATE_NODE id=n_a2e6e8eb7999 node_type=claim\nt=0012 CREATE_NODE id=n_249cf4dca7f5 node_type=claim\nt=0013 CREATE_NODE id=n_711790b17f8a node_type=claim\nt=0014 CREATE_NODE id=n_efa3be4aa132 node_type=claim\nt=0015 CREATE_NODE id=n_e2d07d5af1be node_type=claim\nt=0016 CREATE_NODE id=n_bf29ea624509 node_type=claim\nt=0017 CREATE_NODE id=n_e439fffc1bda node_type=claim\nt=0018 CREATE_NODE id=n_36892465a2f6 node_type=claim\nt=0019 CREATE_NODE id=n_54dbb5f98477 node_type=claim\nt=0020 CREATE_NODE id=n_dd697a0ff91b node_type=claim\nt=0021 CREATE_NODE id=n_d014b099f1e7 node_type=claim\nt=0022 CREATE_NODE id=n_2c322e4df973 node_type=claim\nt=0023 CREATE_NODE id=n_badfcc75a845 node_type=claim\nt=0024 CREATE_NODE id=n_96e0ad8ca25e node_type=claim\nt=0025 CREATE_NODE id=n_335a54328e32 node_type=claim\nt=0026 CREATE_NODE id=n_853a39f7cc88 node_type=claim\nt=0027 CREATE_NODE id=n_31f6fbc4007a node_type=claim\nt=0028 ASSERT_ROOT node=n_711790b17f8a value=FALSE\nt=0029 ADD_EDGE edge_id=e_979dd5d71ca0 source=n_877aec425450 edge_type=refutes target=n_d014b099f1e7\nt=0030 ADD_EDGE edge_id=e_51298440da60 source=n_b4403343dd68 edge_type=refutes target=n_e2d07d5af1be\nt=0031 ADD_EDGE edge_id=e_c2ff898bee86 source=n_335a54328e32 edge_type=supports target=n_853a39f7cc88\nt=0032 ADD_EDGE edge_id=e_30f435c171d5 source=n_31f6fbc4007a edge_type=supports target=n_1822627610fa\nt=0033 ADD_EDGE edge_id=e_27c31014d59b source=n_96e0ad8ca25e edge_type=supports target=n_04073b29f1ea\nt=0034 ADD_EDGE edge_id=e_69973abdcdac source=n_04a94709ccf6 edge_type=refutes target=n_249cf4dca7f5\nt=0035 ADD_EDGE edge_id=e_67c4852a1b7b source=n_b4403343dd68 edge_type=refutes target=n_31f6fbc4007a\nt=0036 ADD_EDGE edge_id=e_fa1420ba65e0 source=n_2c322e4df973 edge_type=refutes target=n_bf29ea624509\nt=0037 ADD_EDGE edge_id=e_d48bc6af5036 source=n_efa3be4aa132 edge_type=refutes target=n_dd697a0ff91b\nt=0038 ADD_EDGE edge_id=e_fcbc78b46fde source=n_a2e6e8eb7999 edge_type=refutes target=n_e20ad488e065\nt=0039 ADD_EDGE edge_id=e_4a1c9c21fa5b source=n_e2d07d5af1be edge_type=refutes target=n_335a54328e32\nt=0040 ADD_EDGE edge_id=e_b428455b5dc1 source=n_335a54328e32 edge_type=supports target=n_ecedbfbf0546\nt=0041 ADD_EDGE edge_id=e_e8830378617e source=n_711790b17f8a edge_type=supports target=n_7c2ca67a75cc\nt=0042 ADD_EDGE edge_id=e_d4a3e288c1e6 source=n_a2e6e8eb7999 edge_type=supports target=n_e439fffc1bda\nt=0043 ADD_EDGE edge_id=e_b72fa5ea6399 source=n_2c322e4df973 edge_type=refutes target=n_8d14d86dafc0\nt=0044 ADD_EDGE edge_id=e_12d7808d4d86 source=n_1d54a44f44bf edge_type=supports target=n_badfcc75a845\nt=0045 ADD_EDGE edge_id=e_cda4ec33db11 source=n_335a54328e32 edge_type=refutes target=n_54dbb5f98477\nt=0046 ADD_EDGE edge_id=e_5f42afba1382 source=n_a2e6e8eb7999 edge_type=supports target=n_36892465a2f6\nt=0047 ADD_EDGE edge_id=e_4bc6b298bcf7 source=n_d014b099f1e7 edge_type=supports target=n_96e0ad8ca25e\nt=0048 ADD_EDGE edge_id=e_bc13afd9356f source=n_b4403343dd68 edge_type=refutes target=n_a2e6e8eb7999\nt=0049 ADD_EDGE edge_id=e_c93ce1150a7d source=n_40e9aa7891df edge_type=refutes target=n_2c322e4df973\nt=0050 ADD_EDGE edge_id=e_9266936795c0 source=n_b4403343dd68 edge_type=supports target=n_1d54a44f44bf\nt=0051 ADD_EDGE edge_id=e_9a7dc8475ecc source=n_04073b29f1ea edge_type=supports target=n_04a94709ccf6\nt=0052 ADD_EDGE edge_id=e_0f8e0e8a9f5c source=n_04a94709ccf6 edge_type=supports target=n_efa3be4aa132\nt=0053 ADD_EDGE edge_id=e_b207769f7d5e source=n_bf29ea624509 edge_type=supports target=n_877aec425450\nt=0054 ADD_EDGE edge_id=e_5ab8bc07c9e2 source=n_711790b17f8a edge_type=refutes target=n_40e9aa7891df\nt=0055 QUERY source=n_711790b17f8a target=n_efa3be4aa132\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2615,"provenance":{"base_record_id":"train-d09-015","dataset":"livegraph-deterministic-parity-v3","depth":9,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d09-015","split":"train","variant":"clean"},"record_seed":620211143624944246,"render_sha256":"b28909d0a2385395dadc7b31ac45517e2db1bc6b00217e5ab1b3020e05309539","representation":"linear_trace","semantic_sha256":"33a30f527c31a56b91b36bad87dcd200f440d5fd25f0daee83f3260688f2dfbd"}
{"char_count":4775,"item_id":"train-d09-016::linear_trace","label":"TRUE","lexical_token_proxy_count":816,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_95135e4d9b57 node_type=claim\nt=0001 CREATE_NODE id=n_0daf39df64f9 node_type=claim\nt=0002 CREATE_NODE id=n_3c3e56e6d204 node_type=claim\nt=0003 CREATE_NODE id=n_f0dbf7015c69 node_type=claim\nt=0004 CREATE_NODE id=n_5afd5b2da97c node_type=claim\nt=0005 CREATE_NODE id=n_d7db7208318a node_type=claim\nt=0006 CREATE_NODE id=n_6448fd20b825 node_type=claim\nt=0007 CREATE_NODE id=n_6d9e169bd546 node_type=claim\nt=0008 CREATE_NODE id=n_21e6dc2c6063 node_type=claim\nt=0009 CREATE_NODE id=n_ea18ab7cb902 node_type=claim\nt=0010 CREATE_NODE id=n_9e27b98bf530 node_type=claim\nt=0011 CREATE_NODE id=n_67cd44559cf1 node_type=claim\nt=0012 CREATE_NODE id=n_10dd0a93375e node_type=claim\nt=0013 CREATE_NODE id=n_7e85b031f99d node_type=claim\nt=0014 CREATE_NODE id=n_d1a9a1b8ce2d node_type=claim\nt=0015 CREATE_NODE id=n_6e0efe3c5340 node_type=claim\nt=0016 CREATE_NODE id=n_3aa8be944887 node_type=claim\nt=0017 CREATE_NODE id=n_b89be6600f1c node_type=claim\nt=0018 CREATE_NODE id=n_6b5cf8964dc6 node_type=claim\nt=0019 CREATE_NODE id=n_74a4ef4453e6 node_type=claim\nt=0020 CREATE_NODE id=n_f80335fe1ada node_type=claim\nt=0021 CREATE_NODE id=n_6d2233ce2eb4 node_type=claim\nt=0022 CREATE_NODE id=n_a90abca236ba node_type=claim\nt=0023 CREATE_NODE id=n_2f89deb5bcba node_type=claim\nt=0024 CREATE_NODE id=n_ae0644b0fee0 node_type=claim\nt=0025 CREATE_NODE id=n_85fbb61170eb node_type=claim\nt=0026 CREATE_NODE id=n_e06061fc8a42 node_type=claim\nt=0027 CREATE_NODE id=n_4483a3300f6a node_type=claim\nt=0028 ASSERT_ROOT node=n_10dd0a93375e value=TRUE\nt=0029 ADD_EDGE edge_id=e_2c5bde1c951d source=n_d1a9a1b8ce2d edge_type=refutes target=n_74a4ef4453e6\nt=0030 ADD_EDGE edge_id=e_c8a250c2b645 source=n_7e85b031f99d edge_type=refutes target=n_2f89deb5bcba\nt=0031 ADD_EDGE edge_id=e_6310903bbb5e source=n_67cd44559cf1 edge_type=refutes target=n_6b5cf8964dc6\nt=0032 ADD_EDGE edge_id=e_90424078be71 source=n_7e85b031f99d edge_type=refutes target=n_a90abca236ba\nt=0033 ADD_EDGE edge_id=e_8dd41a50c851 source=n_6b5cf8964dc6 edge_type=supports target=n_0daf39df64f9\nt=0034 ADD_EDGE edge_id=e_03efc90b2fa8 source=n_7e85b031f99d edge_type=supports target=n_95135e4d9b57\nt=0035 ADD_EDGE edge_id=e_66b8372ff895 source=n_6d9e169bd546 edge_type=refutes target=n_d7db7208318a\nt=0036 ADD_EDGE edge_id=e_5caaf2fe8953 source=n_4483a3300f6a edge_type=supports target=n_9e27b98bf530\nt=0037 ADD_EDGE edge_id=e_8553117511f7 source=n_9e27b98bf530 edge_type=supports target=n_7e85b031f99d\nt=0038 ADD_EDGE edge_id=e_fd6a7f38af85 source=n_9e27b98bf530 edge_type=supports target=n_d1a9a1b8ce2d\nt=0039 ADD_EDGE edge_id=e_984e408d2d39 source=n_21e6dc2c6063 edge_type=refutes target=n_67cd44559cf1\nt=0040 ADD_EDGE edge_id=e_dda08130a130 source=n_6448fd20b825 edge_type=supports target=n_b89be6600f1c\nt=0041 ADD_EDGE edge_id=e_177c1bf7c1d4 source=n_ae0644b0fee0 edge_type=supports target=n_85fbb61170eb\nt=0042 ADD_EDGE edge_id=e_edd7f66424e7 source=n_0daf39df64f9 edge_type=refutes target=n_6448fd20b825\nt=0043 ADD_EDGE edge_id=e_cb8f72542d1d source=n_6448fd20b825 edge_type=refutes target=n_ea18ab7cb902\nt=0044 ADD_EDGE edge_id=e_15c4fafaa9e2 source=n_b89be6600f1c edge_type=supports target=n_f0dbf7015c69\nt=0045 ADD_EDGE edge_id=e_4958942850e4 source=n_d1a9a1b8ce2d edge_type=supports target=n_5afd5b2da97c\nt=0046 ADD_EDGE edge_id=e_6ef7638a6077 source=n_85fbb61170eb edge_type=refutes target=n_21e6dc2c6063\nt=0047 ADD_EDGE edge_id=e_15fd2de6e968 source=n_10dd0a93375e edge_type=refutes target=n_6d2233ce2eb4\nt=0048 ADD_EDGE edge_id=e_fad22c44f7fb source=n_10dd0a93375e edge_type=supports target=n_ae0644b0fee0\nt=0049 ADD_EDGE edge_id=e_422d2ba70206 source=n_3c3e56e6d204 edge_type=refutes target=n_f80335fe1ada\nt=0050 ADD_EDGE edge_id=e_7bbf31349881 source=n_2f89deb5bcba edge_type=supports target=n_e06061fc8a42\nt=0051 ADD_EDGE edge_id=e_b8b0e50bbc5d source=n_7e85b031f99d edge_type=refutes target=n_6d9e169bd546\nt=0052 ADD_EDGE edge_id=e_9dba74f86485 source=n_6448fd20b825 edge_type=supports target=n_3aa8be944887\nt=0053 ADD_EDGE edge_id=e_f83fd25c5924 source=n_6448fd20b825 edge_type=refutes target=n_6e0efe3c5340\nt=0054 ADD_EDGE edge_id=e_9a501cab4175 source=n_7e85b031f99d edge_type=supports target=n_3c3e56e6d204\nt=0055 QUERY source=n_10dd0a93375e target=n_f0dbf7015c69\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2611,"provenance":{"base_record_id":"train-d09-016","dataset":"livegraph-deterministic-parity-v3","depth":9,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d09-016","split":"train","variant":"clean"},"record_seed":213465369294096238,"render_sha256":"581e9db79a255a322ba1df5bf553cd6417bcb4e691165b67858bee418e0a5c41","representation":"linear_trace","semantic_sha256":"8b72d8ce4cfcaeeb4449df9115d8b6b8a44d5661a34a5d04ee3fa8b217d0d168"}
{"char_count":4775,"item_id":"train-d09-017::linear_trace","label":"FALSE","lexical_token_proxy_count":816,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_a0b3d60f7fd1 node_type=claim\nt=0001 CREATE_NODE id=n_0d718e8ad278 node_type=claim\nt=0002 CREATE_NODE id=n_4e0e014a524d node_type=claim\nt=0003 CREATE_NODE id=n_173bcb32122b node_type=claim\nt=0004 CREATE_NODE id=n_66e9def4d1f8 node_type=claim\nt=0005 CREATE_NODE id=n_f5ab2d36dae9 node_type=claim\nt=0006 CREATE_NODE id=n_df229783f0a1 node_type=claim\nt=0007 CREATE_NODE id=n_58d6dc1a9605 node_type=claim\nt=0008 CREATE_NODE id=n_dec6606edfb6 node_type=claim\nt=0009 CREATE_NODE id=n_739f4b49145c node_type=claim\nt=0010 CREATE_NODE id=n_a32be83ddffe node_type=claim\nt=0011 CREATE_NODE id=n_d8385f83e8b5 node_type=claim\nt=0012 CREATE_NODE id=n_cb92fd682f68 node_type=claim\nt=0013 CREATE_NODE id=n_1e37f83b83de node_type=claim\nt=0014 CREATE_NODE id=n_e31ec1859dba node_type=claim\nt=0015 CREATE_NODE id=n_cff29466911e node_type=claim\nt=0016 CREATE_NODE id=n_f637781fa67d node_type=claim\nt=0017 CREATE_NODE id=n_4394ce9afe97 node_type=claim\nt=0018 CREATE_NODE id=n_bd637b56a594 node_type=claim\nt=0019 CREATE_NODE id=n_d871edc92d14 node_type=claim\nt=0020 CREATE_NODE id=n_991d10042542 node_type=claim\nt=0021 CREATE_NODE id=n_0874e901b9dc node_type=claim\nt=0022 CREATE_NODE id=n_9ecc85457961 node_type=claim\nt=0023 CREATE_NODE id=n_e30f959279ca node_type=claim\nt=0024 CREATE_NODE id=n_36d2213f55ae node_type=claim\nt=0025 CREATE_NODE id=n_a1e2d7267321 node_type=claim\nt=0026 CREATE_NODE id=n_d67a15d0b0e3 node_type=claim\nt=0027 CREATE_NODE id=n_d6e6e448c87f node_type=claim\nt=0028 ASSERT_ROOT node=n_cb92fd682f68 value=TRUE\nt=0029 ADD_EDGE edge_id=e_811115f9c762 source=n_dec6606edfb6 edge_type=refutes target=n_cff29466911e\nt=0030 ADD_EDGE edge_id=e_b1e19677f77f source=n_d6e6e448c87f edge_type=supports target=n_4e0e014a524d\nt=0031 ADD_EDGE edge_id=e_3751e2182996 source=n_d6e6e448c87f edge_type=supports target=n_66e9def4d1f8\nt=0032 ADD_EDGE edge_id=e_e1c0d8d08538 source=n_4e0e014a524d edge_type=supports target=n_1e37f83b83de\nt=0033 ADD_EDGE edge_id=e_81cb3c95b2ed source=n_d871edc92d14 edge_type=refutes target=n_173bcb32122b\nt=0034 ADD_EDGE edge_id=e_907d1fe022be source=n_d8385f83e8b5 edge_type=supports target=n_dec6606edfb6\nt=0035 ADD_EDGE edge_id=e_3312d72aea0e source=n_991d10042542 edge_type=refutes target=n_d8385f83e8b5\nt=0036 ADD_EDGE edge_id=e_98bd33c94d37 source=n_e30f959279ca edge_type=supports target=n_d67a15d0b0e3\nt=0037 ADD_EDGE edge_id=e_0f4d4238a145 source=n_cb92fd682f68 edge_type=supports target=n_f637781fa67d\nt=0038 ADD_EDGE edge_id=e_e047fece3a7c source=n_f5ab2d36dae9 edge_type=refutes target=n_4394ce9afe97\nt=0039 ADD_EDGE edge_id=e_7bbb3b22f61b source=n_4e0e014a524d edge_type=refutes target=n_58d6dc1a9605\nt=0040 ADD_EDGE edge_id=e_87267702ff12 source=n_cb92fd682f68 edge_type=supports target=n_f5ab2d36dae9\nt=0041 ADD_EDGE edge_id=e_6b816e351379 source=n_df229783f0a1 edge_type=supports target=n_36d2213f55ae\nt=0042 ADD_EDGE edge_id=e_0adbe4a86700 source=n_36d2213f55ae edge_type=refutes target=n_a1e2d7267321\nt=0043 ADD_EDGE edge_id=e_d5cc9352d574 source=n_739f4b49145c edge_type=supports target=n_0874e901b9dc\nt=0044 ADD_EDGE edge_id=e_eb04b716e5a2 source=n_d67a15d0b0e3 edge_type=refutes target=n_a0b3d60f7fd1\nt=0045 ADD_EDGE edge_id=e_e9a95ecacec4 source=n_a1e2d7267321 edge_type=refutes target=n_e30f959279ca\nt=0046 ADD_EDGE edge_id=e_23d9a014f00a source=n_9ecc85457961 edge_type=supports target=n_a32be83ddffe\nt=0047 ADD_EDGE edge_id=e_cdea03bdb454 source=n_d6e6e448c87f edge_type=supports target=n_739f4b49145c\nt=0048 ADD_EDGE edge_id=e_9ded2ee1a434 source=n_f5ab2d36dae9 edge_type=supports target=n_df229783f0a1\nt=0049 ADD_EDGE edge_id=e_c7453f8262a3 source=n_739f4b49145c edge_type=refutes target=n_9ecc85457961\nt=0050 ADD_EDGE edge_id=e_9b2cebb641bf source=n_739f4b49145c edge_type=refutes target=n_991d10042542\nt=0051 ADD_EDGE edge_id=e_ba29f7ead13c source=n_a0b3d60f7fd1 edge_type=refutes target=n_d871edc92d14\nt=0052 ADD_EDGE edge_id=e_22a80a45dd27 source=n_36d2213f55ae edge_type=supports target=n_0d718e8ad278\nt=0053 ADD_EDGE edge_id=e_53ba610b4e76 source=n_cb92fd682f68 edge_type=refutes target=n_e31ec1859dba\nt=0054 ADD_EDGE edge_id=e_4a4126d053fc source=n_9ecc85457961 edge_type=refutes target=n_bd637b56a594\nt=0055 QUERY source=n_cb92fd682f68 target=n_173bcb32122b\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2636,"provenance":{"base_record_id":"train-d09-017","dataset":"livegraph-deterministic-parity-v3","depth":9,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d09-017","split":"train","variant":"clean"},"record_seed":1050429618731435261,"render_sha256":"3a06e5f6105a74234110be480491fe8fb9f5410cbc1ed0a104c11bc7f8a6d5d9","representation":"linear_trace","semantic_sha256":"2950e7ca6591b5d2ea37fac667d010d84ed3a725cfda99f4e17a48dd3a6fc2dd"}
{"char_count":4776,"item_id":"train-d09-018::linear_trace","label":"TRUE","lexical_token_proxy_count":816,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_4bfdf5345353 node_type=claim\nt=0001 CREATE_NODE id=n_56d7e4d77658 node_type=claim\nt=0002 CREATE_NODE id=n_0f352155f4bc node_type=claim\nt=0003 CREATE_NODE id=n_4f32f8b1ae97 node_type=claim\nt=0004 CREATE_NODE id=n_91359ec37c9d node_type=claim\nt=0005 CREATE_NODE id=n_3a4c3829daf7 node_type=claim\nt=0006 CREATE_NODE id=n_a3bfd95f9c2a node_type=claim\nt=0007 CREATE_NODE id=n_06fa11940197 node_type=claim\nt=0008 CREATE_NODE id=n_198db1e76a10 node_type=claim\nt=0009 CREATE_NODE id=n_c5e3879b3e51 node_type=claim\nt=0010 CREATE_NODE id=n_fe11ec2c979f node_type=claim\nt=0011 CREATE_NODE id=n_80ff4e965095 node_type=claim\nt=0012 CREATE_NODE id=n_a3c3a7a27f2d node_type=claim\nt=0013 CREATE_NODE id=n_a53b24577ad2 node_type=claim\nt=0014 CREATE_NODE id=n_984e5e2eeb77 node_type=claim\nt=0015 CREATE_NODE id=n_c4268a0328e6 node_type=claim\nt=0016 CREATE_NODE id=n_5e6a718f792f node_type=claim\nt=0017 CREATE_NODE id=n_01f5bb8725b4 node_type=claim\nt=0018 CREATE_NODE id=n_fb1928e64644 node_type=claim\nt=0019 CREATE_NODE id=n_7efc6b3ec5c1 node_type=claim\nt=0020 CREATE_NODE id=n_5632c982a254 node_type=claim\nt=0021 CREATE_NODE id=n_8323dca02827 node_type=claim\nt=0022 CREATE_NODE id=n_45c4d4fb1f87 node_type=claim\nt=0023 CREATE_NODE id=n_378f1a35cb9b node_type=claim\nt=0024 CREATE_NODE id=n_fb79e73b7ae4 node_type=claim\nt=0025 CREATE_NODE id=n_c81c71aa58fc node_type=claim\nt=0026 CREATE_NODE id=n_b44b62b814ea node_type=claim\nt=0027 CREATE_NODE id=n_17edd4d84a7f node_type=claim\nt=0028 ASSERT_ROOT node=n_3a4c3829daf7 value=FALSE\nt=0029 ADD_EDGE edge_id=e_dc13ceb09527 source=n_56d7e4d77658 edge_type=refutes target=n_0f352155f4bc\nt=0030 ADD_EDGE edge_id=e_814c3a7aac0b source=n_378f1a35cb9b edge_type=refutes target=n_b44b62b814ea\nt=0031 ADD_EDGE edge_id=e_04bf086060b9 source=n_b44b62b814ea edge_type=supports target=n_8323dca02827\nt=0032 ADD_EDGE edge_id=e_10382c798a9a source=n_3a4c3829daf7 edge_type=supports target=n_17edd4d84a7f\nt=0033 ADD_EDGE edge_id=e_c0f3c9bbd418 source=n_01f5bb8725b4 edge_type=supports target=n_45c4d4fb1f87\nt=0034 ADD_EDGE edge_id=e_817edb84741c source=n_01f5bb8725b4 edge_type=refutes target=n_a3c3a7a27f2d\nt=0035 ADD_EDGE edge_id=e_067485d9edf1 source=n_8323dca02827 edge_type=refutes target=n_80ff4e965095\nt=0036 ADD_EDGE edge_id=e_d2ddeee17f67 source=n_984e5e2eeb77 edge_type=supports target=n_198db1e76a10\nt=0037 ADD_EDGE edge_id=e_cac398a8d13d source=n_91359ec37c9d edge_type=supports target=n_c81c71aa58fc\nt=0038 ADD_EDGE edge_id=e_e7720b870474 source=n_80ff4e965095 edge_type=refutes target=n_c4268a0328e6\nt=0039 ADD_EDGE edge_id=e_25dc9139f485 source=n_3a4c3829daf7 edge_type=refutes target=n_378f1a35cb9b\nt=0040 ADD_EDGE edge_id=e_ca05764700d8 source=n_0f352155f4bc edge_type=refutes target=n_4bfdf5345353\nt=0041 ADD_EDGE edge_id=e_d6c9de25a8f4 source=n_4f32f8b1ae97 edge_type=supports target=n_5e6a718f792f\nt=0042 ADD_EDGE edge_id=e_881b74af70c2 source=n_fe11ec2c979f edge_type=supports target=n_5632c982a254\nt=0043 ADD_EDGE edge_id=e_d682c1aaf3c1 source=n_5632c982a254 edge_type=refutes target=n_984e5e2eeb77\nt=0044 ADD_EDGE edge_id=e_2fcce39cb58c source=n_5632c982a254 edge_type=refutes target=n_91359ec37c9d\nt=0045 ADD_EDGE edge_id=e_4d861d5c7758 source=n_a53b24577ad2 edge_type=refutes target=n_7efc6b3ec5c1\nt=0046 ADD_EDGE edge_id=e_05a77d4bf5eb source=n_0f352155f4bc edge_type=supports target=n_fb1928e64644\nt=0047 ADD_EDGE edge_id=e_ee3b1dc90d18 source=n_fb79e73b7ae4 edge_type=refutes target=n_01f5bb8725b4\nt=0048 ADD_EDGE edge_id=e_86435f2f1e0d source=n_fe11ec2c979f edge_type=refutes target=n_56d7e4d77658\nt=0049 ADD_EDGE edge_id=e_7f2f155625f4 source=n_4f32f8b1ae97 edge_type=refutes target=n_a53b24577ad2\nt=0050 ADD_EDGE edge_id=e_8c6611eeecbf source=n_c5e3879b3e51 edge_type=supports target=n_a3bfd95f9c2a\nt=0051 ADD_EDGE edge_id=e_6cf252ce43f8 source=n_a3bfd95f9c2a edge_type=supports target=n_fb79e73b7ae4\nt=0052 ADD_EDGE edge_id=e_2007818d4868 source=n_c4268a0328e6 edge_type=supports target=n_c5e3879b3e51\nt=0053 ADD_EDGE edge_id=e_0110f412ef24 source=n_c4268a0328e6 edge_type=supports target=n_06fa11940197\nt=0054 ADD_EDGE edge_id=e_465e0aee3250 source=n_56d7e4d77658 edge_type=supports target=n_4f32f8b1ae97\nt=0055 QUERY source=n_3a4c3829daf7 target=n_01f5bb8725b4\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2654,"provenance":{"base_record_id":"train-d09-018","dataset":"livegraph-deterministic-parity-v3","depth":9,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d09-018","split":"train","variant":"clean"},"record_seed":548974822984228524,"render_sha256":"af8c650ba7498c542136cfe88ca7916060ca4fde2cab3e8c521d292185dfa9af","representation":"linear_trace","semantic_sha256":"48c773126a877b11c9c502a05b38c9478463368e07abccee06c838e483f7b4a6"}
{"char_count":4776,"item_id":"train-d09-019::linear_trace","label":"FALSE","lexical_token_proxy_count":816,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_ff3465b5ee81 node_type=claim\nt=0001 CREATE_NODE id=n_3267cf87926b node_type=claim\nt=0002 CREATE_NODE id=n_c8c74bb35fb9 node_type=claim\nt=0003 CREATE_NODE id=n_97e6a0dcca51 node_type=claim\nt=0004 CREATE_NODE id=n_aa7c9cf5551e node_type=claim\nt=0005 CREATE_NODE id=n_378ae7edf4c1 node_type=claim\nt=0006 CREATE_NODE id=n_d283c8485d91 node_type=claim\nt=0007 CREATE_NODE id=n_cbbe9e1457fe node_type=claim\nt=0008 CREATE_NODE id=n_2d8c02818987 node_type=claim\nt=0009 CREATE_NODE id=n_0ae64be7e92a node_type=claim\nt=0010 CREATE_NODE id=n_0d93d2ed53b9 node_type=claim\nt=0011 CREATE_NODE id=n_c4ba3d5bcdb4 node_type=claim\nt=0012 CREATE_NODE id=n_6f761d7166b7 node_type=claim\nt=0013 CREATE_NODE id=n_7b10fb2c1862 node_type=claim\nt=0014 CREATE_NODE id=n_47f03265d438 node_type=claim\nt=0015 CREATE_NODE id=n_fae6cccc1a84 node_type=claim\nt=0016 CREATE_NODE id=n_2869820efe71 node_type=claim\nt=0017 CREATE_NODE id=n_f8d5929cda34 node_type=claim\nt=0018 CREATE_NODE id=n_b5629e98504c node_type=claim\nt=0019 CREATE_NODE id=n_16ea0f7c2136 node_type=claim\nt=0020 CREATE_NODE id=n_0a521fa74e33 node_type=claim\nt=0021 CREATE_NODE id=n_4ed78f42b45b node_type=claim\nt=0022 CREATE_NODE id=n_1bc2c627e202 node_type=claim\nt=0023 CREATE_NODE id=n_4478dc64cef2 node_type=claim\nt=0024 CREATE_NODE id=n_fb61121b7ec6 node_type=claim\nt=0025 CREATE_NODE id=n_2972fe7e8b17 node_type=claim\nt=0026 CREATE_NODE id=n_14ef6a3e88a7 node_type=claim\nt=0027 CREATE_NODE id=n_2b66f994e9b3 node_type=claim\nt=0028 ASSERT_ROOT node=n_d283c8485d91 value=FALSE\nt=0029 ADD_EDGE edge_id=e_1ad715b792b0 source=n_4ed78f42b45b edge_type=refutes target=n_47f03265d438\nt=0030 ADD_EDGE edge_id=e_caaec990c568 source=n_2d8c02818987 edge_type=supports target=n_0a521fa74e33\nt=0031 ADD_EDGE edge_id=e_b11c9ac8017d source=n_14ef6a3e88a7 edge_type=supports target=n_0d93d2ed53b9\nt=0032 ADD_EDGE edge_id=e_ce4545cd05c8 source=n_b5629e98504c edge_type=refutes target=n_ff3465b5ee81\nt=0033 ADD_EDGE edge_id=e_d0ba08377ff8 source=n_6f761d7166b7 edge_type=refutes target=n_f8d5929cda34\nt=0034 ADD_EDGE edge_id=e_cb8214200a1a source=n_16ea0f7c2136 edge_type=supports target=n_c8c74bb35fb9\nt=0035 ADD_EDGE edge_id=e_8b61fb1f9261 source=n_6f761d7166b7 edge_type=refutes target=n_4478dc64cef2\nt=0036 ADD_EDGE edge_id=e_e4865caa26de source=n_d283c8485d91 edge_type=refutes target=n_1bc2c627e202\nt=0037 ADD_EDGE edge_id=e_20ba8d7ae50c source=n_14ef6a3e88a7 edge_type=supports target=n_2b66f994e9b3\nt=0038 ADD_EDGE edge_id=e_4484ccb42364 source=n_c4ba3d5bcdb4 edge_type=supports target=n_16ea0f7c2136\nt=0039 ADD_EDGE edge_id=e_ddc11b771f0a source=n_0ae64be7e92a edge_type=supports target=n_4ed78f42b45b\nt=0040 ADD_EDGE edge_id=e_b19bc6346011 source=n_7b10fb2c1862 edge_type=refutes target=n_cbbe9e1457fe\nt=0041 ADD_EDGE edge_id=e_41c075e80210 source=n_cbbe9e1457fe edge_type=supports target=n_b5629e98504c\nt=0042 ADD_EDGE edge_id=e_3e1511063c1b source=n_fae6cccc1a84 edge_type=supports target=n_14ef6a3e88a7\nt=0043 ADD_EDGE edge_id=e_ca822b90db03 source=n_c8c74bb35fb9 edge_type=supports target=n_7b10fb2c1862\nt=0044 ADD_EDGE edge_id=e_7575fa8ec0f6 source=n_6f761d7166b7 edge_type=supports target=n_fb61121b7ec6\nt=0045 ADD_EDGE edge_id=e_62badbbab49a source=n_d283c8485d91 edge_type=supports target=n_c4ba3d5bcdb4\nt=0046 ADD_EDGE edge_id=e_719111a466c8 source=n_ff3465b5ee81 edge_type=refutes target=n_2972fe7e8b17\nt=0047 ADD_EDGE edge_id=e_fc772989f910 source=n_fae6cccc1a84 edge_type=refutes target=n_378ae7edf4c1\nt=0048 ADD_EDGE edge_id=e_314acfa4f9dc source=n_378ae7edf4c1 edge_type=supports target=n_aa7c9cf5551e\nt=0049 ADD_EDGE edge_id=e_05c97b3dabc6 source=n_4478dc64cef2 edge_type=refutes target=n_fae6cccc1a84\nt=0050 ADD_EDGE edge_id=e_671a3c92a9fc source=n_16ea0f7c2136 edge_type=refutes target=n_2869820efe71\nt=0051 ADD_EDGE edge_id=e_ff30d8654411 source=n_14ef6a3e88a7 edge_type=refutes target=n_3267cf87926b\nt=0052 ADD_EDGE edge_id=e_2026c4d7cf5b source=n_b5629e98504c edge_type=refutes target=n_97e6a0dcca51\nt=0053 ADD_EDGE edge_id=e_e74c40a87859 source=n_6f761d7166b7 edge_type=refutes target=n_0ae64be7e92a\nt=0054 ADD_EDGE edge_id=e_66119fd90b75 source=n_ff3465b5ee81 edge_type=supports target=n_2d8c02818987\nt=0055 QUERY source=n_d283c8485d91 target=n_0a521fa74e33\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2618,"provenance":{"base_record_id":"train-d09-019","dataset":"livegraph-deterministic-parity-v3","depth":9,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d09-019","split":"train","variant":"clean"},"record_seed":635765821283687322,"render_sha256":"1a650a9e5b7febe1960f9b07d027b0710111764e53a079bcb53d7354999106b6","representation":"linear_trace","semantic_sha256":"6b0917188c8d67e60a6a3e0b7b21fce220f3dd195fd91dcf18bd09207c27d65c"}
{"char_count":4775,"item_id":"train-d09-020::linear_trace","label":"TRUE","lexical_token_proxy_count":816,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_84a12f478a17 node_type=claim\nt=0001 CREATE_NODE id=n_bfe3c00906f6 node_type=claim\nt=0002 CREATE_NODE id=n_7e8f62b5d160 node_type=claim\nt=0003 CREATE_NODE id=n_7bc051ba4da4 node_type=claim\nt=0004 CREATE_NODE id=n_21ab8d990868 node_type=claim\nt=0005 CREATE_NODE id=n_282768a0ff56 node_type=claim\nt=0006 CREATE_NODE id=n_e5bb755a891c node_type=claim\nt=0007 CREATE_NODE id=n_1323e06c0e59 node_type=claim\nt=0008 CREATE_NODE id=n_7d63228a15fa node_type=claim\nt=0009 CREATE_NODE id=n_47b3d6027c10 node_type=claim\nt=0010 CREATE_NODE id=n_ba4cff4c0543 node_type=claim\nt=0011 CREATE_NODE id=n_c231a03c62d6 node_type=claim\nt=0012 CREATE_NODE id=n_554c49e5d0c4 node_type=claim\nt=0013 CREATE_NODE id=n_79e6df68ac55 node_type=claim\nt=0014 CREATE_NODE id=n_548d8f00178f node_type=claim\nt=0015 CREATE_NODE id=n_ece58b0eda9e node_type=claim\nt=0016 CREATE_NODE id=n_6b01f7d7c3af node_type=claim\nt=0017 CREATE_NODE id=n_5038aff5d897 node_type=claim\nt=0018 CREATE_NODE id=n_a9c1f9869e31 node_type=claim\nt=0019 CREATE_NODE id=n_22eeb1e7d820 node_type=claim\nt=0020 CREATE_NODE id=n_aff4a31686f4 node_type=claim\nt=0021 CREATE_NODE id=n_f6317a4e5292 node_type=claim\nt=0022 CREATE_NODE id=n_d15cdef03b44 node_type=claim\nt=0023 CREATE_NODE id=n_1e43f42d6cfe node_type=claim\nt=0024 CREATE_NODE id=n_4f46c150041c node_type=claim\nt=0025 CREATE_NODE id=n_bca89c0061b7 node_type=claim\nt=0026 CREATE_NODE id=n_80fe524d91db node_type=claim\nt=0027 CREATE_NODE id=n_211d950950b7 node_type=claim\nt=0028 ASSERT_ROOT node=n_1323e06c0e59 value=TRUE\nt=0029 ADD_EDGE edge_id=e_43c87e5eaee4 source=n_aff4a31686f4 edge_type=supports target=n_c231a03c62d6\nt=0030 ADD_EDGE edge_id=e_5fe1ed41cb1d source=n_211d950950b7 edge_type=supports target=n_548d8f00178f\nt=0031 ADD_EDGE edge_id=e_605a17f394d3 source=n_bfe3c00906f6 edge_type=refutes target=n_aff4a31686f4\nt=0032 ADD_EDGE edge_id=e_1cfe0a0cfd81 source=n_ece58b0eda9e edge_type=supports target=n_7e8f62b5d160\nt=0033 ADD_EDGE edge_id=e_47831c5b45e3 source=n_ba4cff4c0543 edge_type=refutes target=n_47b3d6027c10\nt=0034 ADD_EDGE edge_id=e_e5f5ad0b4760 source=n_22eeb1e7d820 edge_type=refutes target=n_7d63228a15fa\nt=0035 ADD_EDGE edge_id=e_f4e3788c6e70 source=n_bca89c0061b7 edge_type=supports target=n_d15cdef03b44\nt=0036 ADD_EDGE edge_id=e_feab81283f25 source=n_1323e06c0e59 edge_type=supports target=n_6b01f7d7c3af\nt=0037 ADD_EDGE edge_id=e_7d5b2c1bac2b source=n_1323e06c0e59 edge_type=supports target=n_5038aff5d897\nt=0038 ADD_EDGE edge_id=e_1347f563eb55 source=n_211d950950b7 edge_type=refutes target=n_21ab8d990868\nt=0039 ADD_EDGE edge_id=e_3bf81c19add8 source=n_bca89c0061b7 edge_type=refutes target=n_84a12f478a17\nt=0040 ADD_EDGE edge_id=e_0d4f749761bd source=n_ba4cff4c0543 edge_type=supports target=n_4f46c150041c\nt=0041 ADD_EDGE edge_id=e_36eed01ff0c5 source=n_a9c1f9869e31 edge_type=refutes target=n_22eeb1e7d820\nt=0042 ADD_EDGE edge_id=e_554213f89662 source=n_5038aff5d897 edge_type=refutes target=n_a9c1f9869e31\nt=0043 ADD_EDGE edge_id=e_07d18cd8dd68 source=n_bfe3c00906f6 edge_type=refutes target=n_bca89c0061b7\nt=0044 ADD_EDGE edge_id=e_636740776d05 source=n_22eeb1e7d820 edge_type=supports target=n_211d950950b7\nt=0045 ADD_EDGE edge_id=e_dfb529fb4f6f source=n_c231a03c62d6 edge_type=refutes target=n_e5bb755a891c\nt=0046 ADD_EDGE edge_id=e_9a4d0ea193fe source=n_aff4a31686f4 edge_type=refutes target=n_ba4cff4c0543\nt=0047 ADD_EDGE edge_id=e_b7bf79d9296d source=n_ba4cff4c0543 edge_type=refutes target=n_1e43f42d6cfe\nt=0048 ADD_EDGE edge_id=e_a7804af2e8e5 source=n_c231a03c62d6 edge_type=refutes target=n_f6317a4e5292\nt=0049 ADD_EDGE edge_id=e_c6bb7c22b212 source=n_282768a0ff56 edge_type=supports target=n_7bc051ba4da4\nt=0050 ADD_EDGE edge_id=e_7bae3ef1b3da source=n_211d950950b7 edge_type=supports target=n_554c49e5d0c4\nt=0051 ADD_EDGE edge_id=e_9385791ec3e9 source=n_548d8f00178f edge_type=supports target=n_ece58b0eda9e\nt=0052 ADD_EDGE edge_id=e_278a0d1f4da3 source=n_84a12f478a17 edge_type=refutes target=n_79e6df68ac55\nt=0053 ADD_EDGE edge_id=e_e7ea40a0f85b source=n_7e8f62b5d160 edge_type=supports target=n_282768a0ff56\nt=0054 ADD_EDGE edge_id=e_80680d0cfca7 source=n_1e43f42d6cfe edge_type=supports target=n_80fe524d91db\nt=0055 QUERY source=n_1323e06c0e59 target=n_7bc051ba4da4\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2647,"provenance":{"base_record_id":"train-d09-020","dataset":"livegraph-deterministic-parity-v3","depth":9,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d09-020","split":"train","variant":"clean"},"record_seed":311816291437711470,"render_sha256":"a722573203318eef61de6d93f9aa0cefbf3d5f730502f0ada5fc9192d11a5de9","representation":"linear_trace","semantic_sha256":"714c507a463f72b9261385adad326e35adf37589be33e246babb2f5805d3bda6"}
{"char_count":4775,"item_id":"train-d09-021::linear_trace","label":"FALSE","lexical_token_proxy_count":816,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_9a97d1f1419f node_type=claim\nt=0001 CREATE_NODE id=n_0aaeda88f294 node_type=claim\nt=0002 CREATE_NODE id=n_e6a4ae8a9b38 node_type=claim\nt=0003 CREATE_NODE id=n_4105362b41b0 node_type=claim\nt=0004 CREATE_NODE id=n_b1e8456cf168 node_type=claim\nt=0005 CREATE_NODE id=n_2a5295cae97b node_type=claim\nt=0006 CREATE_NODE id=n_8aadae984d73 node_type=claim\nt=0007 CREATE_NODE id=n_fefc88a91405 node_type=claim\nt=0008 CREATE_NODE id=n_6ec8e50c0d36 node_type=claim\nt=0009 CREATE_NODE id=n_deea7fb91622 node_type=claim\nt=0010 CREATE_NODE id=n_75b618a14ea1 node_type=claim\nt=0011 CREATE_NODE id=n_bca938d95127 node_type=claim\nt=0012 CREATE_NODE id=n_3391bf1261b7 node_type=claim\nt=0013 CREATE_NODE id=n_827c2bfbcdd2 node_type=claim\nt=0014 CREATE_NODE id=n_812d3da210b3 node_type=claim\nt=0015 CREATE_NODE id=n_d1a7b300f323 node_type=claim\nt=0016 CREATE_NODE id=n_36268b84f85d node_type=claim\nt=0017 CREATE_NODE id=n_d61cee6f8361 node_type=claim\nt=0018 CREATE_NODE id=n_30b4875ba954 node_type=claim\nt=0019 CREATE_NODE id=n_11e5e6199aaf node_type=claim\nt=0020 CREATE_NODE id=n_805186b112a6 node_type=claim\nt=0021 CREATE_NODE id=n_6499d75eda9c node_type=claim\nt=0022 CREATE_NODE id=n_88028d718564 node_type=claim\nt=0023 CREATE_NODE id=n_a1612e696bbb node_type=claim\nt=0024 CREATE_NODE id=n_1554f2934a9d node_type=claim\nt=0025 CREATE_NODE id=n_458be9f6a591 node_type=claim\nt=0026 CREATE_NODE id=n_703e44c10161 node_type=claim\nt=0027 CREATE_NODE id=n_f4b4c2b12d38 node_type=claim\nt=0028 ASSERT_ROOT node=n_d1a7b300f323 value=TRUE\nt=0029 ADD_EDGE edge_id=e_df638ca6ca9c source=n_11e5e6199aaf edge_type=refutes target=n_8aadae984d73\nt=0030 ADD_EDGE edge_id=e_3f0558eb1bd3 source=n_30b4875ba954 edge_type=refutes target=n_9a97d1f1419f\nt=0031 ADD_EDGE edge_id=e_7336c9f27b0b source=n_4105362b41b0 edge_type=refutes target=n_0aaeda88f294\nt=0032 ADD_EDGE edge_id=e_31d0a91e077b source=n_4105362b41b0 edge_type=refutes target=n_36268b84f85d\nt=0033 ADD_EDGE edge_id=e_7143a2f77514 source=n_30b4875ba954 edge_type=supports target=n_827c2bfbcdd2\nt=0034 ADD_EDGE edge_id=e_ac6a9b584644 source=n_827c2bfbcdd2 edge_type=refutes target=n_812d3da210b3\nt=0035 ADD_EDGE edge_id=e_c31d26490008 source=n_6ec8e50c0d36 edge_type=supports target=n_30b4875ba954\nt=0036 ADD_EDGE edge_id=e_b7322df71e2c source=n_36268b84f85d edge_type=supports target=n_1554f2934a9d\nt=0037 ADD_EDGE edge_id=e_c41fd23422ce source=n_b1e8456cf168 edge_type=refutes target=n_d61cee6f8361\nt=0038 ADD_EDGE edge_id=e_914799f0ea5e source=n_36268b84f85d edge_type=refutes target=n_a1612e696bbb\nt=0039 ADD_EDGE edge_id=e_18d53a65fc7f source=n_88028d718564 edge_type=supports target=n_b1e8456cf168\nt=0040 ADD_EDGE edge_id=e_a531581883e1 source=n_805186b112a6 edge_type=supports target=n_2a5295cae97b\nt=0041 ADD_EDGE edge_id=e_134883051266 source=n_3391bf1261b7 edge_type=supports target=n_6499d75eda9c\nt=0042 ADD_EDGE edge_id=e_e95ba3283116 source=n_d61cee6f8361 edge_type=supports target=n_3391bf1261b7\nt=0043 ADD_EDGE edge_id=e_918c7b6f4bc9 source=n_11e5e6199aaf edge_type=supports target=n_75b618a14ea1\nt=0044 ADD_EDGE edge_id=e_15ec719eab1b source=n_bca938d95127 edge_type=refutes target=n_fefc88a91405\nt=0045 ADD_EDGE edge_id=e_a80ed4862f65 source=n_36268b84f85d edge_type=supports target=n_f4b4c2b12d38\nt=0046 ADD_EDGE edge_id=e_8dda02d25d5f source=n_4105362b41b0 edge_type=refutes target=n_e6a4ae8a9b38\nt=0047 ADD_EDGE edge_id=e_0a127eb72a9d source=n_827c2bfbcdd2 edge_type=supports target=n_88028d718564\nt=0048 ADD_EDGE edge_id=e_b0536e68886f source=n_4105362b41b0 edge_type=supports target=n_11e5e6199aaf\nt=0049 ADD_EDGE edge_id=e_d4a0a8ac3726 source=n_d1a7b300f323 edge_type=refutes target=n_703e44c10161\nt=0050 ADD_EDGE edge_id=e_f7d1975b0e3e source=n_f4b4c2b12d38 edge_type=refutes target=n_deea7fb91622\nt=0051 ADD_EDGE edge_id=e_7dfbc5706776 source=n_2a5295cae97b edge_type=refutes target=n_6ec8e50c0d36\nt=0052 ADD_EDGE edge_id=e_7107a921d59e source=n_d1a7b300f323 edge_type=refutes target=n_805186b112a6\nt=0053 ADD_EDGE edge_id=e_3aac56f8caca source=n_e6a4ae8a9b38 edge_type=supports target=n_bca938d95127\nt=0054 ADD_EDGE edge_id=e_99f79a760ec2 source=n_0aaeda88f294 edge_type=supports target=n_458be9f6a591\nt=0055 QUERY source=n_d1a7b300f323 target=n_3391bf1261b7\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2660,"provenance":{"base_record_id":"train-d09-021","dataset":"livegraph-deterministic-parity-v3","depth":9,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d09-021","split":"train","variant":"clean"},"record_seed":1128579774417748281,"render_sha256":"4e05801ae7fcb8d2682d562b66996da18216d1f8054d237785602cb84032a7fb","representation":"linear_trace","semantic_sha256":"93388e12c23561816880f03882cad5e600287d17645e932d3f07df980974b799"}
{"char_count":4776,"item_id":"train-d09-022::linear_trace","label":"TRUE","lexical_token_proxy_count":816,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_954c327f19d0 node_type=claim\nt=0001 CREATE_NODE id=n_663626b538ac node_type=claim\nt=0002 CREATE_NODE id=n_14e79addc67f node_type=claim\nt=0003 CREATE_NODE id=n_c84f6cde94e9 node_type=claim\nt=0004 CREATE_NODE id=n_1187b6cf9738 node_type=claim\nt=0005 CREATE_NODE id=n_7251aaa2cb8f node_type=claim\nt=0006 CREATE_NODE id=n_06c526933efc node_type=claim\nt=0007 CREATE_NODE id=n_8bfd2bf0193a node_type=claim\nt=0008 CREATE_NODE id=n_af5e5dc8be64 node_type=claim\nt=0009 CREATE_NODE id=n_7cb910dc7928 node_type=claim\nt=0010 CREATE_NODE id=n_5a478476d949 node_type=claim\nt=0011 CREATE_NODE id=n_86e730e3e35a node_type=claim\nt=0012 CREATE_NODE id=n_c56687e49bac node_type=claim\nt=0013 CREATE_NODE id=n_2178fe174106 node_type=claim\nt=0014 CREATE_NODE id=n_7886173c236f node_type=claim\nt=0015 CREATE_NODE id=n_65e6a67410bb node_type=claim\nt=0016 CREATE_NODE id=n_b87907b2be23 node_type=claim\nt=0017 CREATE_NODE id=n_931a0c6a3a09 node_type=claim\nt=0018 CREATE_NODE id=n_94654ce923b2 node_type=claim\nt=0019 CREATE_NODE id=n_d2bc17035cc1 node_type=claim\nt=0020 CREATE_NODE id=n_690ba852f818 node_type=claim\nt=0021 CREATE_NODE id=n_010e2cfffce2 node_type=claim\nt=0022 CREATE_NODE id=n_970db9f4c795 node_type=claim\nt=0023 CREATE_NODE id=n_87192470ca0a node_type=claim\nt=0024 CREATE_NODE id=n_0a993de0ff37 node_type=claim\nt=0025 CREATE_NODE id=n_b9e869508a07 node_type=claim\nt=0026 CREATE_NODE id=n_654e11e89f95 node_type=claim\nt=0027 CREATE_NODE id=n_821bb68cfeb7 node_type=claim\nt=0028 ASSERT_ROOT node=n_af5e5dc8be64 value=FALSE\nt=0029 ADD_EDGE edge_id=e_0a2dfa85647d source=n_94654ce923b2 edge_type=refutes target=n_821bb68cfeb7\nt=0030 ADD_EDGE edge_id=e_9d9b49ee874a source=n_94654ce923b2 edge_type=refutes target=n_b87907b2be23\nt=0031 ADD_EDGE edge_id=e_7f678af250b9 source=n_af5e5dc8be64 edge_type=supports target=n_d2bc17035cc1\nt=0032 ADD_EDGE edge_id=e_d97162d1abc4 source=n_010e2cfffce2 edge_type=refutes target=n_663626b538ac\nt=0033 ADD_EDGE edge_id=e_600c2d292c53 source=n_010e2cfffce2 edge_type=supports target=n_0a993de0ff37\nt=0034 ADD_EDGE edge_id=e_1f2b7aa41230 source=n_65e6a67410bb edge_type=supports target=n_2178fe174106\nt=0035 ADD_EDGE edge_id=e_f48cd88293d1 source=n_654e11e89f95 edge_type=refutes target=n_94654ce923b2\nt=0036 ADD_EDGE edge_id=e_d9690f4ad3d2 source=n_931a0c6a3a09 edge_type=refutes target=n_954c327f19d0\nt=0037 ADD_EDGE edge_id=e_2c27891b8562 source=n_0a993de0ff37 edge_type=refutes target=n_86e730e3e35a\nt=0038 ADD_EDGE edge_id=e_c74ffcd21f46 source=n_970db9f4c795 edge_type=supports target=n_5a478476d949\nt=0039 ADD_EDGE edge_id=e_5af51c8666ad source=n_0a993de0ff37 edge_type=refutes target=n_06c526933efc\nt=0040 ADD_EDGE edge_id=e_6f3de2eb3d44 source=n_65e6a67410bb edge_type=supports target=n_654e11e89f95\nt=0041 ADD_EDGE edge_id=e_c52d6969c3c0 source=n_821bb68cfeb7 edge_type=supports target=n_1187b6cf9738\nt=0042 ADD_EDGE edge_id=e_d74c9f27e1c1 source=n_87192470ca0a edge_type=supports target=n_7886173c236f\nt=0043 ADD_EDGE edge_id=e_853efc94cb88 source=n_690ba852f818 edge_type=supports target=n_b9e869508a07\nt=0044 ADD_EDGE edge_id=e_8a08ac3e2dc0 source=n_0a993de0ff37 edge_type=refutes target=n_931a0c6a3a09\nt=0045 ADD_EDGE edge_id=e_2abd9e31d433 source=n_65e6a67410bb edge_type=refutes target=n_7cb910dc7928\nt=0046 ADD_EDGE edge_id=e_b370b1c82373 source=n_954c327f19d0 edge_type=refutes target=n_14e79addc67f\nt=0047 ADD_EDGE edge_id=e_ee5cd1aa27c2 source=n_663626b538ac edge_type=supports target=n_970db9f4c795\nt=0048 ADD_EDGE edge_id=e_bd1f0a39cbef source=n_0a993de0ff37 edge_type=refutes target=n_690ba852f818\nt=0049 ADD_EDGE edge_id=e_5665821f661c source=n_1187b6cf9738 edge_type=supports target=n_c56687e49bac\nt=0050 ADD_EDGE edge_id=e_b5ad00636885 source=n_d2bc17035cc1 edge_type=supports target=n_8bfd2bf0193a\nt=0051 ADD_EDGE edge_id=e_19f1a6e94d60 source=n_c56687e49bac edge_type=supports target=n_7251aaa2cb8f\nt=0052 ADD_EDGE edge_id=e_1a2f5049bc25 source=n_0a993de0ff37 edge_type=refutes target=n_87192470ca0a\nt=0053 ADD_EDGE edge_id=e_a011857fcd91 source=n_8bfd2bf0193a edge_type=refutes target=n_65e6a67410bb\nt=0054 ADD_EDGE edge_id=e_262eb78f7d7a source=n_821bb68cfeb7 edge_type=supports target=n_c84f6cde94e9\nt=0055 QUERY source=n_af5e5dc8be64 target=n_7251aaa2cb8f\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2627,"provenance":{"base_record_id":"train-d09-022","dataset":"livegraph-deterministic-parity-v3","depth":9,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d09-022","split":"train","variant":"clean"},"record_seed":935432549759049537,"render_sha256":"ef03a4bdd0064d559bc0758c78fc3e04a4426793054346d04bbcfdc876ab7a02","representation":"linear_trace","semantic_sha256":"1cf1f15d64d4f84a2c7e26284e2cbe1d335c5dc6e4ee7435461878b83c579618"}
{"char_count":4776,"item_id":"train-d09-023::linear_trace","label":"FALSE","lexical_token_proxy_count":816,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_3f841895630f node_type=claim\nt=0001 CREATE_NODE id=n_0724fadc0854 node_type=claim\nt=0002 CREATE_NODE id=n_d6d053ba396e node_type=claim\nt=0003 CREATE_NODE id=n_4104d376e1b7 node_type=claim\nt=0004 CREATE_NODE id=n_bef31afe7211 node_type=claim\nt=0005 CREATE_NODE id=n_85adceefb6cb node_type=claim\nt=0006 CREATE_NODE id=n_e8038c0543b2 node_type=claim\nt=0007 CREATE_NODE id=n_a1ffd0a28f29 node_type=claim\nt=0008 CREATE_NODE id=n_db0cc389434e node_type=claim\nt=0009 CREATE_NODE id=n_059a7f7152a2 node_type=claim\nt=0010 CREATE_NODE id=n_067a90d576dc node_type=claim\nt=0011 CREATE_NODE id=n_68ddd3edbcc6 node_type=claim\nt=0012 CREATE_NODE id=n_3d8ea73b7fca node_type=claim\nt=0013 CREATE_NODE id=n_65a96e6f0801 node_type=claim\nt=0014 CREATE_NODE id=n_b4da3a468d15 node_type=claim\nt=0015 CREATE_NODE id=n_282f12f68ff6 node_type=claim\nt=0016 CREATE_NODE id=n_6d57156ff354 node_type=claim\nt=0017 CREATE_NODE id=n_b937d4c3df8c node_type=claim\nt=0018 CREATE_NODE id=n_6620f0559ff2 node_type=claim\nt=0019 CREATE_NODE id=n_86f5a8049a18 node_type=claim\nt=0020 CREATE_NODE id=n_2cd856413bf2 node_type=claim\nt=0021 CREATE_NODE id=n_6cf669a04225 node_type=claim\nt=0022 CREATE_NODE id=n_b3805811c424 node_type=claim\nt=0023 CREATE_NODE id=n_9296fb15527f node_type=claim\nt=0024 CREATE_NODE id=n_b027be96aedd node_type=claim\nt=0025 CREATE_NODE id=n_b968409ff3ca node_type=claim\nt=0026 CREATE_NODE id=n_bbec1b278c39 node_type=claim\nt=0027 CREATE_NODE id=n_ed80264369ca node_type=claim\nt=0028 ASSERT_ROOT node=n_a1ffd0a28f29 value=FALSE\nt=0029 ADD_EDGE edge_id=e_0039d0a51505 source=n_65a96e6f0801 edge_type=supports target=n_282f12f68ff6\nt=0030 ADD_EDGE edge_id=e_5c4654a896f3 source=n_ed80264369ca edge_type=supports target=n_e8038c0543b2\nt=0031 ADD_EDGE edge_id=e_30aa206d130d source=n_b968409ff3ca edge_type=supports target=n_3d8ea73b7fca\nt=0032 ADD_EDGE edge_id=e_8890071163c8 source=n_0724fadc0854 edge_type=refutes target=n_4104d376e1b7\nt=0033 ADD_EDGE edge_id=e_0752f746b3e8 source=n_d6d053ba396e edge_type=supports target=n_059a7f7152a2\nt=0034 ADD_EDGE edge_id=e_64e943da451f source=n_067a90d576dc edge_type=refutes target=n_db0cc389434e\nt=0035 ADD_EDGE edge_id=e_ade99e029336 source=n_bbec1b278c39 edge_type=refutes target=n_b4da3a468d15\nt=0036 ADD_EDGE edge_id=e_9248244cb610 source=n_0724fadc0854 edge_type=supports target=n_bef31afe7211\nt=0037 ADD_EDGE edge_id=e_69636aa35816 source=n_a1ffd0a28f29 edge_type=refutes target=n_d6d053ba396e\nt=0038 ADD_EDGE edge_id=e_600b90af3109 source=n_0724fadc0854 edge_type=supports target=n_6620f0559ff2\nt=0039 ADD_EDGE edge_id=e_cac6793e137b source=n_d6d053ba396e edge_type=refutes target=n_0724fadc0854\nt=0040 ADD_EDGE edge_id=e_bbf2bd98312e source=n_9296fb15527f edge_type=refutes target=n_65a96e6f0801\nt=0041 ADD_EDGE edge_id=e_37f899eeceab source=n_b937d4c3df8c edge_type=supports target=n_b3805811c424\nt=0042 ADD_EDGE edge_id=e_19f26be25d61 source=n_2cd856413bf2 edge_type=refutes target=n_b027be96aedd\nt=0043 ADD_EDGE edge_id=e_3ae59000cf24 source=n_e8038c0543b2 edge_type=refutes target=n_3f841895630f\nt=0044 ADD_EDGE edge_id=e_afe15be84e39 source=n_2cd856413bf2 edge_type=supports target=n_067a90d576dc\nt=0045 ADD_EDGE edge_id=e_48fae338920e source=n_3f841895630f edge_type=supports target=n_9296fb15527f\nt=0046 ADD_EDGE edge_id=e_1610a3420d07 source=n_4104d376e1b7 edge_type=refutes target=n_ed80264369ca\nt=0047 ADD_EDGE edge_id=e_81ec2ed0f787 source=n_2cd856413bf2 edge_type=supports target=n_85adceefb6cb\nt=0048 ADD_EDGE edge_id=e_7eb1a0d6ffa4 source=n_3f841895630f edge_type=refutes target=n_6d57156ff354\nt=0049 ADD_EDGE edge_id=e_e65d148449d3 source=n_b968409ff3ca edge_type=supports target=n_b937d4c3df8c\nt=0050 ADD_EDGE edge_id=e_d96e08714e73 source=n_85adceefb6cb edge_type=refutes target=n_86f5a8049a18\nt=0051 ADD_EDGE edge_id=e_7f3262e92858 source=n_2cd856413bf2 edge_type=supports target=n_b968409ff3ca\nt=0052 ADD_EDGE edge_id=e_d2dc2a9577ac source=n_b3805811c424 edge_type=supports target=n_bbec1b278c39\nt=0053 ADD_EDGE edge_id=e_8578f15431f5 source=n_2cd856413bf2 edge_type=refutes target=n_68ddd3edbcc6\nt=0054 ADD_EDGE edge_id=e_9e0012f2b850 source=n_067a90d576dc edge_type=refutes target=n_6cf669a04225\nt=0055 QUERY source=n_a1ffd0a28f29 target=n_282f12f68ff6\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2624,"provenance":{"base_record_id":"train-d09-023","dataset":"livegraph-deterministic-parity-v3","depth":9,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d09-023","split":"train","variant":"clean"},"record_seed":692144401912459523,"render_sha256":"b699edd6f324e682adf5751cf48dc933a1f186786737645c20ddef967eebcda9","representation":"linear_trace","semantic_sha256":"889bddde4ed263996e4daf1cb157dc1a6145cdf5a61b0d95941b1e5f8194e5b0"}
{"char_count":4775,"item_id":"train-d09-024::linear_trace","label":"TRUE","lexical_token_proxy_count":816,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_5aca6810c934 node_type=claim\nt=0001 CREATE_NODE id=n_90c4a19aedc1 node_type=claim\nt=0002 CREATE_NODE id=n_b1ddd2d16f19 node_type=claim\nt=0003 CREATE_NODE id=n_6219d3e577d6 node_type=claim\nt=0004 CREATE_NODE id=n_adccd387f49c node_type=claim\nt=0005 CREATE_NODE id=n_1fdcae68ddec node_type=claim\nt=0006 CREATE_NODE id=n_5a4d025ba6bb node_type=claim\nt=0007 CREATE_NODE id=n_030af7de2b29 node_type=claim\nt=0008 CREATE_NODE id=n_1cb0502ceebc node_type=claim\nt=0009 CREATE_NODE id=n_c7584d11d98e node_type=claim\nt=0010 CREATE_NODE id=n_b127f71badd9 node_type=claim\nt=0011 CREATE_NODE id=n_22df5426cdc0 node_type=claim\nt=0012 CREATE_NODE id=n_81ffde63147b node_type=claim\nt=0013 CREATE_NODE id=n_fd6e1d708801 node_type=claim\nt=0014 CREATE_NODE id=n_bf87c4ba9888 node_type=claim\nt=0015 CREATE_NODE id=n_88e129e1b3bf node_type=claim\nt=0016 CREATE_NODE id=n_02ffd635f194 node_type=claim\nt=0017 CREATE_NODE id=n_2ad7aa75f5e5 node_type=claim\nt=0018 CREATE_NODE id=n_d0e0a58e888d node_type=claim\nt=0019 CREATE_NODE id=n_1ddf89a4f3c1 node_type=claim\nt=0020 CREATE_NODE id=n_c5e4143ea1c0 node_type=claim\nt=0021 CREATE_NODE id=n_9a53fb396a75 node_type=claim\nt=0022 CREATE_NODE id=n_6dce82d68765 node_type=claim\nt=0023 CREATE_NODE id=n_bdc86b204ee5 node_type=claim\nt=0024 CREATE_NODE id=n_821503c4f6ba node_type=claim\nt=0025 CREATE_NODE id=n_ded7547e5e1d node_type=claim\nt=0026 CREATE_NODE id=n_e43f72c7f694 node_type=claim\nt=0027 CREATE_NODE id=n_ea27a9591fab node_type=claim\nt=0028 ASSERT_ROOT node=n_adccd387f49c value=TRUE\nt=0029 ADD_EDGE edge_id=e_c98cc993e6fc source=n_1fdcae68ddec edge_type=refutes target=n_d0e0a58e888d\nt=0030 ADD_EDGE edge_id=e_ed05a4150948 source=n_1ddf89a4f3c1 edge_type=supports target=n_1fdcae68ddec\nt=0031 ADD_EDGE edge_id=e_34ef26d776e4 source=n_90c4a19aedc1 edge_type=supports target=n_c5e4143ea1c0\nt=0032 ADD_EDGE edge_id=e_67efbee33135 source=n_1cb0502ceebc edge_type=refutes target=n_bf87c4ba9888\nt=0033 ADD_EDGE edge_id=e_73e847242f6c source=n_90c4a19aedc1 edge_type=supports target=n_ea27a9591fab\nt=0034 ADD_EDGE edge_id=e_ddfcf000cca3 source=n_88e129e1b3bf edge_type=supports target=n_1cb0502ceebc\nt=0035 ADD_EDGE edge_id=e_33c3698a2ae7 source=n_adccd387f49c edge_type=supports target=n_6219d3e577d6\nt=0036 ADD_EDGE edge_id=e_61352bd7de53 source=n_81ffde63147b edge_type=supports target=n_e43f72c7f694\nt=0037 ADD_EDGE edge_id=e_2490a7c67725 source=n_9a53fb396a75 edge_type=supports target=n_b1ddd2d16f19\nt=0038 ADD_EDGE edge_id=e_a25273c7fdc0 source=n_bdc86b204ee5 edge_type=supports target=n_c7584d11d98e\nt=0039 ADD_EDGE edge_id=e_7002c230558c source=n_b127f71badd9 edge_type=refutes target=n_030af7de2b29\nt=0040 ADD_EDGE edge_id=e_54701f2bf380 source=n_fd6e1d708801 edge_type=supports target=n_821503c4f6ba\nt=0041 ADD_EDGE edge_id=e_74074e21ce5a source=n_1ddf89a4f3c1 edge_type=refutes target=n_88e129e1b3bf\nt=0042 ADD_EDGE edge_id=e_3c7d35234d82 source=n_d0e0a58e888d edge_type=refutes target=n_fd6e1d708801\nt=0043 ADD_EDGE edge_id=e_44b0d3470223 source=n_fd6e1d708801 edge_type=refutes target=n_90c4a19aedc1\nt=0044 ADD_EDGE edge_id=e_961dff43bfee source=n_02ffd635f194 edge_type=supports target=n_22df5426cdc0\nt=0045 ADD_EDGE edge_id=e_8a4c12fbad65 source=n_030af7de2b29 edge_type=refutes target=n_5aca6810c934\nt=0046 ADD_EDGE edge_id=e_aa806b89e371 source=n_5aca6810c934 edge_type=refutes target=n_bdc86b204ee5\nt=0047 ADD_EDGE edge_id=e_5582b6b8317e source=n_6219d3e577d6 edge_type=refutes target=n_6dce82d68765\nt=0048 ADD_EDGE edge_id=e_53c1909e4fe2 source=n_b127f71badd9 edge_type=supports target=n_5a4d025ba6bb\nt=0049 ADD_EDGE edge_id=e_7ad97ea7e54b source=n_6219d3e577d6 edge_type=supports target=n_02ffd635f194\nt=0050 ADD_EDGE edge_id=e_90340b488f40 source=n_1fdcae68ddec edge_type=refutes target=n_ded7547e5e1d\nt=0051 ADD_EDGE edge_id=e_e876c456c3e4 source=n_bdc86b204ee5 edge_type=refutes target=n_9a53fb396a75\nt=0052 ADD_EDGE edge_id=e_06e79755b001 source=n_1fdcae68ddec edge_type=refutes target=n_81ffde63147b\nt=0053 ADD_EDGE edge_id=e_bb9129ebe465 source=n_22df5426cdc0 edge_type=supports target=n_b127f71badd9\nt=0054 ADD_EDGE edge_id=e_f4ee555aa0d9 source=n_6219d3e577d6 edge_type=refutes target=n_2ad7aa75f5e5\nt=0055 QUERY source=n_adccd387f49c target=n_b1ddd2d16f19\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2599,"provenance":{"base_record_id":"train-d09-024","dataset":"livegraph-deterministic-parity-v3","depth":9,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d09-024","split":"train","variant":"clean"},"record_seed":571075795892746262,"render_sha256":"86c2c06cd8e3808c6ce24c388e99809edadc458da012be3e86e573557481a54f","representation":"linear_trace","semantic_sha256":"58da9e16d815e852dfb91179d7bfc28adf7bf83eb41a47029b0cb71ddd055780"}
{"char_count":4775,"item_id":"train-d09-025::linear_trace","label":"FALSE","lexical_token_proxy_count":816,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_3a7b40fb3452 node_type=claim\nt=0001 CREATE_NODE id=n_30f7f6e25055 node_type=claim\nt=0002 CREATE_NODE id=n_e54cf0b61b39 node_type=claim\nt=0003 CREATE_NODE id=n_f7740edde024 node_type=claim\nt=0004 CREATE_NODE id=n_7a19257e03ff node_type=claim\nt=0005 CREATE_NODE id=n_0cf47c95cf28 node_type=claim\nt=0006 CREATE_NODE id=n_42e35955e6a7 node_type=claim\nt=0007 CREATE_NODE id=n_8c7adad54a44 node_type=claim\nt=0008 CREATE_NODE id=n_21f5ee8add06 node_type=claim\nt=0009 CREATE_NODE id=n_b301d9a82307 node_type=claim\nt=0010 CREATE_NODE id=n_1a81a0480667 node_type=claim\nt=0011 CREATE_NODE id=n_227d43801e7c node_type=claim\nt=0012 CREATE_NODE id=n_b0c28b827dce node_type=claim\nt=0013 CREATE_NODE id=n_970992b15b0b node_type=claim\nt=0014 CREATE_NODE id=n_a3b10b09c9dd node_type=claim\nt=0015 CREATE_NODE id=n_773dbfa1c191 node_type=claim\nt=0016 CREATE_NODE id=n_0fbbeb103e16 node_type=claim\nt=0017 CREATE_NODE id=n_c03bce9da28b node_type=claim\nt=0018 CREATE_NODE id=n_e9a01ed973e2 node_type=claim\nt=0019 CREATE_NODE id=n_cc79504a5242 node_type=claim\nt=0020 CREATE_NODE id=n_b11e6396664a node_type=claim\nt=0021 CREATE_NODE id=n_64db40e53637 node_type=claim\nt=0022 CREATE_NODE id=n_4af6a861546a node_type=claim\nt=0023 CREATE_NODE id=n_8cb2a6a023bc node_type=claim\nt=0024 CREATE_NODE id=n_10b58495e1e3 node_type=claim\nt=0025 CREATE_NODE id=n_1f3e50be35fd node_type=claim\nt=0026 CREATE_NODE id=n_0321bf6c26b7 node_type=claim\nt=0027 CREATE_NODE id=n_4d2530aea5f1 node_type=claim\nt=0028 ASSERT_ROOT node=n_b301d9a82307 value=TRUE\nt=0029 ADD_EDGE edge_id=e_b8c1b66bfbdc source=n_4af6a861546a edge_type=supports target=n_1f3e50be35fd\nt=0030 ADD_EDGE edge_id=e_1cdb198e06f8 source=n_4d2530aea5f1 edge_type=supports target=n_f7740edde024\nt=0031 ADD_EDGE edge_id=e_abd808e432a8 source=n_3a7b40fb3452 edge_type=supports target=n_8c7adad54a44\nt=0032 ADD_EDGE edge_id=e_a81a1d6ba6e1 source=n_227d43801e7c edge_type=refutes target=n_b0c28b827dce\nt=0033 ADD_EDGE edge_id=e_adc7d3272688 source=n_42e35955e6a7 edge_type=refutes target=n_8cb2a6a023bc\nt=0034 ADD_EDGE edge_id=e_acc8bf728511 source=n_b0c28b827dce edge_type=supports target=n_e9a01ed973e2\nt=0035 ADD_EDGE edge_id=e_f746ca69811f source=n_21f5ee8add06 edge_type=refutes target=n_3a7b40fb3452\nt=0036 ADD_EDGE edge_id=e_9558a34cbb20 source=n_b0c28b827dce edge_type=supports target=n_cc79504a5242\nt=0037 ADD_EDGE edge_id=e_8576670ba886 source=n_4d2530aea5f1 edge_type=refutes target=n_30f7f6e25055\nt=0038 ADD_EDGE edge_id=e_3535241ae30e source=n_8c7adad54a44 edge_type=refutes target=n_227d43801e7c\nt=0039 ADD_EDGE edge_id=e_90e10744ccc8 source=n_970992b15b0b edge_type=refutes target=n_e54cf0b61b39\nt=0040 ADD_EDGE edge_id=e_522d80aba16e source=n_e54cf0b61b39 edge_type=refutes target=n_773dbfa1c191\nt=0041 ADD_EDGE edge_id=e_c87bd4fa2bfb source=n_f7740edde024 edge_type=supports target=n_0cf47c95cf28\nt=0042 ADD_EDGE edge_id=e_a1b7350b77ee source=n_4af6a861546a edge_type=supports target=n_4d2530aea5f1\nt=0043 ADD_EDGE edge_id=e_2365d9400298 source=n_c03bce9da28b edge_type=supports target=n_10b58495e1e3\nt=0044 ADD_EDGE edge_id=e_9ae8b72c62c6 source=n_e9a01ed973e2 edge_type=refutes target=n_970992b15b0b\nt=0045 ADD_EDGE edge_id=e_5248dd38654e source=n_b11e6396664a edge_type=supports target=n_c03bce9da28b\nt=0046 ADD_EDGE edge_id=e_1e673e62442b source=n_8cb2a6a023bc edge_type=refutes target=n_b11e6396664a\nt=0047 ADD_EDGE edge_id=e_4209beec20b3 source=n_0fbbeb103e16 edge_type=supports target=n_64db40e53637\nt=0048 ADD_EDGE edge_id=e_781a477a83f9 source=n_b0c28b827dce edge_type=supports target=n_7a19257e03ff\nt=0049 ADD_EDGE edge_id=e_b42204652215 source=n_42e35955e6a7 edge_type=supports target=n_0fbbeb103e16\nt=0050 ADD_EDGE edge_id=e_5836b1af3f44 source=n_1a81a0480667 edge_type=refutes target=n_4af6a861546a\nt=0051 ADD_EDGE edge_id=e_779329196bfe source=n_0fbbeb103e16 edge_type=refutes target=n_1a81a0480667\nt=0052 ADD_EDGE edge_id=e_a308dbeb3126 source=n_e54cf0b61b39 edge_type=supports target=n_0321bf6c26b7\nt=0053 ADD_EDGE edge_id=e_672d5900d7df source=n_b301d9a82307 edge_type=refutes target=n_21f5ee8add06\nt=0054 ADD_EDGE edge_id=e_fe6b2dcfd842 source=n_970992b15b0b edge_type=refutes target=n_a3b10b09c9dd\nt=0055 QUERY source=n_b301d9a82307 target=n_773dbfa1c191\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2641,"provenance":{"base_record_id":"train-d09-025","dataset":"livegraph-deterministic-parity-v3","depth":9,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d09-025","split":"train","variant":"clean"},"record_seed":1046317599314917492,"render_sha256":"49b807fe1e514003886dfd86db3f173e2c3ec5bd4a2b7ce2c91eb74308e393dd","representation":"linear_trace","semantic_sha256":"d39473bef3b255c07980badbcd28bce9af0aa232fc9c55681f9b5c4f4543c872"}
{"char_count":4776,"item_id":"train-d09-026::linear_trace","label":"TRUE","lexical_token_proxy_count":816,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_1eada9ec2974 node_type=claim\nt=0001 CREATE_NODE id=n_c0f4607f9f10 node_type=claim\nt=0002 CREATE_NODE id=n_5da64bc30170 node_type=claim\nt=0003 CREATE_NODE id=n_ed57dbe14b47 node_type=claim\nt=0004 CREATE_NODE id=n_e5dcd9506f5e node_type=claim\nt=0005 CREATE_NODE id=n_4e588abc9076 node_type=claim\nt=0006 CREATE_NODE id=n_c0cc950c4f2a node_type=claim\nt=0007 CREATE_NODE id=n_1d5ed772f567 node_type=claim\nt=0008 CREATE_NODE id=n_54163394bcf2 node_type=claim\nt=0009 CREATE_NODE id=n_b269c5037406 node_type=claim\nt=0010 CREATE_NODE id=n_3373d1d0c0ca node_type=claim\nt=0011 CREATE_NODE id=n_67d89ef904b9 node_type=claim\nt=0012 CREATE_NODE id=n_fea4b9e5ae63 node_type=claim\nt=0013 CREATE_NODE id=n_c78872bdc333 node_type=claim\nt=0014 CREATE_NODE id=n_734c67eaedfe node_type=claim\nt=0015 CREATE_NODE id=n_7e52e4a9b57b node_type=claim\nt=0016 CREATE_NODE id=n_8a10d6835e22 node_type=claim\nt=0017 CREATE_NODE id=n_634b4cbb3727 node_type=claim\nt=0018 CREATE_NODE id=n_abfdf8377d39 node_type=claim\nt=0019 CREATE_NODE id=n_e44356916126 node_type=claim\nt=0020 CREATE_NODE id=n_851f0a32dc17 node_type=claim\nt=0021 CREATE_NODE id=n_af4a4036700e node_type=claim\nt=0022 CREATE_NODE id=n_5cf607aee797 node_type=claim\nt=0023 CREATE_NODE id=n_9521b582cc87 node_type=claim\nt=0024 CREATE_NODE id=n_ac0d4049b1b1 node_type=claim\nt=0025 CREATE_NODE id=n_4e80249ddafb node_type=claim\nt=0026 CREATE_NODE id=n_2d6410aceab0 node_type=claim\nt=0027 CREATE_NODE id=n_7e74282e3dcf node_type=claim\nt=0028 ASSERT_ROOT node=n_7e52e4a9b57b value=FALSE\nt=0029 ADD_EDGE edge_id=e_462ef93fe9e3 source=n_2d6410aceab0 edge_type=refutes target=n_af4a4036700e\nt=0030 ADD_EDGE edge_id=e_1ea6f3ba7e29 source=n_c78872bdc333 edge_type=supports target=n_9521b582cc87\nt=0031 ADD_EDGE edge_id=e_53e3da628bf9 source=n_7e74282e3dcf edge_type=supports target=n_5da64bc30170\nt=0032 ADD_EDGE edge_id=e_2f8df114f20f source=n_7e52e4a9b57b edge_type=refutes target=n_5cf607aee797\nt=0033 ADD_EDGE edge_id=e_c1b7c7c39425 source=n_c0f4607f9f10 edge_type=supports target=n_1eada9ec2974\nt=0034 ADD_EDGE edge_id=e_98c0dcab93f8 source=n_4e80249ddafb edge_type=refutes target=n_fea4b9e5ae63\nt=0035 ADD_EDGE edge_id=e_d9fdb722fb1a source=n_8a10d6835e22 edge_type=refutes target=n_851f0a32dc17\nt=0036 ADD_EDGE edge_id=e_73c8c9a5c9bf source=n_67d89ef904b9 edge_type=supports target=n_2d6410aceab0\nt=0037 ADD_EDGE edge_id=e_7056a5db8df1 source=n_851f0a32dc17 edge_type=refutes target=n_4e588abc9076\nt=0038 ADD_EDGE edge_id=e_169a72dab3b4 source=n_abfdf8377d39 edge_type=refutes target=n_54163394bcf2\nt=0039 ADD_EDGE edge_id=e_40fb3e7e22c3 source=n_7e74282e3dcf edge_type=supports target=n_c0cc950c4f2a\nt=0040 ADD_EDGE edge_id=e_3244a0e8fee2 source=n_4e80249ddafb edge_type=refutes target=n_734c67eaedfe\nt=0041 ADD_EDGE edge_id=e_2076a52567cb source=n_abfdf8377d39 edge_type=refutes target=n_8a10d6835e22\nt=0042 ADD_EDGE edge_id=e_f0619908a602 source=n_734c67eaedfe edge_type=supports target=n_c0f4607f9f10\nt=0043 ADD_EDGE edge_id=e_de2da2798bc8 source=n_7e74282e3dcf edge_type=refutes target=n_634b4cbb3727\nt=0044 ADD_EDGE edge_id=e_58dd94e4f20c source=n_734c67eaedfe edge_type=supports target=n_ed57dbe14b47\nt=0045 ADD_EDGE edge_id=e_0777b4006b5e source=n_67d89ef904b9 edge_type=refutes target=n_ac0d4049b1b1\nt=0046 ADD_EDGE edge_id=e_848565857ca7 source=n_67d89ef904b9 edge_type=supports target=n_3373d1d0c0ca\nt=0047 ADD_EDGE edge_id=e_78f219368a2f source=n_7e52e4a9b57b edge_type=supports target=n_abfdf8377d39\nt=0048 ADD_EDGE edge_id=e_d8759dc78bd2 source=n_7e74282e3dcf edge_type=supports target=n_e44356916126\nt=0049 ADD_EDGE edge_id=e_f7bedda98111 source=n_1eada9ec2974 edge_type=refutes target=n_b269c5037406\nt=0050 ADD_EDGE edge_id=e_fb59ff963ce9 source=n_4e588abc9076 edge_type=supports target=n_4e80249ddafb\nt=0051 ADD_EDGE edge_id=e_1cfa04dc1f7d source=n_3373d1d0c0ca edge_type=supports target=n_e5dcd9506f5e\nt=0052 ADD_EDGE edge_id=e_8cf56ad5f34a source=n_67d89ef904b9 edge_type=refutes target=n_7e74282e3dcf\nt=0053 ADD_EDGE edge_id=e_9b833f5a1d6a source=n_7e74282e3dcf edge_type=refutes target=n_1d5ed772f567\nt=0054 ADD_EDGE edge_id=e_5b5c4f131740 source=n_5da64bc30170 edge_type=supports target=n_c78872bdc333\nt=0055 QUERY source=n_7e52e4a9b57b target=n_b269c5037406\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2625,"provenance":{"base_record_id":"train-d09-026","dataset":"livegraph-deterministic-parity-v3","depth":9,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d09-026","split":"train","variant":"clean"},"record_seed":249092542704489882,"render_sha256":"b41598498a14a4f742726bb3100fb8f5989559533bcdff12238f0cb4b623de05","representation":"linear_trace","semantic_sha256":"4831fcfcb1937b7f2ce8764a9a64f4f9d73eada14cdeb40db697c82fbd03ab36"}
{"char_count":4776,"item_id":"train-d09-027::linear_trace","label":"FALSE","lexical_token_proxy_count":816,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_0885b420213e node_type=claim\nt=0001 CREATE_NODE id=n_8e92b462cc9d node_type=claim\nt=0002 CREATE_NODE id=n_ca19572745e7 node_type=claim\nt=0003 CREATE_NODE id=n_d8619e0a401d node_type=claim\nt=0004 CREATE_NODE id=n_064735d4e052 node_type=claim\nt=0005 CREATE_NODE id=n_96655df02004 node_type=claim\nt=0006 CREATE_NODE id=n_2336ae75461a node_type=claim\nt=0007 CREATE_NODE id=n_b37c26e9f20f node_type=claim\nt=0008 CREATE_NODE id=n_0775578245b6 node_type=claim\nt=0009 CREATE_NODE id=n_b24c35c8ea30 node_type=claim\nt=0010 CREATE_NODE id=n_f9594b4d3cca node_type=claim\nt=0011 CREATE_NODE id=n_09c59122f52f node_type=claim\nt=0012 CREATE_NODE id=n_3865259908a9 node_type=claim\nt=0013 CREATE_NODE id=n_a88c9e3f779a node_type=claim\nt=0014 CREATE_NODE id=n_dd83d4197e92 node_type=claim\nt=0015 CREATE_NODE id=n_985230533ba1 node_type=claim\nt=0016 CREATE_NODE id=n_e6fe145e06a6 node_type=claim\nt=0017 CREATE_NODE id=n_f3cab694bf93 node_type=claim\nt=0018 CREATE_NODE id=n_4ebe0f84fec8 node_type=claim\nt=0019 CREATE_NODE id=n_ed6dec26b9ae node_type=claim\nt=0020 CREATE_NODE id=n_dcc9f0c6440e node_type=claim\nt=0021 CREATE_NODE id=n_0dc0ed18e649 node_type=claim\nt=0022 CREATE_NODE id=n_3985f357532b node_type=claim\nt=0023 CREATE_NODE id=n_1930c1c54eaa node_type=claim\nt=0024 CREATE_NODE id=n_a4f4ad598fe8 node_type=claim\nt=0025 CREATE_NODE id=n_1650bbda9bf6 node_type=claim\nt=0026 CREATE_NODE id=n_485eae35dd74 node_type=claim\nt=0027 CREATE_NODE id=n_9a4aef6c35f3 node_type=claim\nt=0028 ASSERT_ROOT node=n_ca19572745e7 value=FALSE\nt=0029 ADD_EDGE edge_id=e_d452a476dd7a source=n_f9594b4d3cca edge_type=refutes target=n_09c59122f52f\nt=0030 ADD_EDGE edge_id=e_b170fd1e387b source=n_9a4aef6c35f3 edge_type=refutes target=n_0dc0ed18e649\nt=0031 ADD_EDGE edge_id=e_2b17e5006ca2 source=n_1930c1c54eaa edge_type=refutes target=n_dcc9f0c6440e\nt=0032 ADD_EDGE edge_id=e_ccd87303856a source=n_3865259908a9 edge_type=refutes target=n_a4f4ad598fe8\nt=0033 ADD_EDGE edge_id=e_285aea1efd56 source=n_064735d4e052 edge_type=refutes target=n_96655df02004\nt=0034 ADD_EDGE edge_id=e_feb54dc74f8a source=n_f9594b4d3cca edge_type=supports target=n_3865259908a9\nt=0035 ADD_EDGE edge_id=e_bfd10dc9a987 source=n_dd83d4197e92 edge_type=refutes target=n_f9594b4d3cca\nt=0036 ADD_EDGE edge_id=e_11fc1eb19c8c source=n_09c59122f52f edge_type=supports target=n_f3cab694bf93\nt=0037 ADD_EDGE edge_id=e_f75cb4c2d8e3 source=n_4ebe0f84fec8 edge_type=supports target=n_e6fe145e06a6\nt=0038 ADD_EDGE edge_id=e_2dee2375378f source=n_dd83d4197e92 edge_type=supports target=n_3985f357532b\nt=0039 ADD_EDGE edge_id=e_c3eac3e12207 source=n_3865259908a9 edge_type=refutes target=n_b24c35c8ea30\nt=0040 ADD_EDGE edge_id=e_0969750dda4c source=n_ed6dec26b9ae edge_type=refutes target=n_d8619e0a401d\nt=0041 ADD_EDGE edge_id=e_359708b080b8 source=n_ca19572745e7 edge_type=refutes target=n_ed6dec26b9ae\nt=0042 ADD_EDGE edge_id=e_84f543b23e6b source=n_09c59122f52f edge_type=supports target=n_985230533ba1\nt=0043 ADD_EDGE edge_id=e_e965fdd1c3fe source=n_2336ae75461a edge_type=supports target=n_a88c9e3f779a\nt=0044 ADD_EDGE edge_id=e_d3d157390bd1 source=n_2336ae75461a edge_type=refutes target=n_1930c1c54eaa\nt=0045 ADD_EDGE edge_id=e_13635a3cc520 source=n_dd83d4197e92 edge_type=supports target=n_485eae35dd74\nt=0046 ADD_EDGE edge_id=e_1218c3ab6a00 source=n_dcc9f0c6440e edge_type=supports target=n_0775578245b6\nt=0047 ADD_EDGE edge_id=e_16c59e132dc7 source=n_ed6dec26b9ae edge_type=supports target=n_9a4aef6c35f3\nt=0048 ADD_EDGE edge_id=e_f07dfe0d4ea7 source=n_1930c1c54eaa edge_type=supports target=n_b37c26e9f20f\nt=0049 ADD_EDGE edge_id=e_fd70acb33e64 source=n_0775578245b6 edge_type=refutes target=n_064735d4e052\nt=0050 ADD_EDGE edge_id=e_9e2d7645da93 source=n_0dc0ed18e649 edge_type=supports target=n_2336ae75461a\nt=0051 ADD_EDGE edge_id=e_35203835e944 source=n_4ebe0f84fec8 edge_type=refutes target=n_8e92b462cc9d\nt=0052 ADD_EDGE edge_id=e_52087ed4aff3 source=n_3985f357532b edge_type=supports target=n_4ebe0f84fec8\nt=0053 ADD_EDGE edge_id=e_f9e66da6c5b4 source=n_2336ae75461a edge_type=supports target=n_1650bbda9bf6\nt=0054 ADD_EDGE edge_id=e_2247b804b9fb source=n_dd83d4197e92 edge_type=refutes target=n_0885b420213e\nt=0055 QUERY source=n_ca19572745e7 target=n_96655df02004\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2630,"provenance":{"base_record_id":"train-d09-027","dataset":"livegraph-deterministic-parity-v3","depth":9,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d09-027","split":"train","variant":"clean"},"record_seed":840376136254161041,"render_sha256":"aa2c6bdcb65a8d8b826a63a37a108c7d97d6b7ed4afdb766297c1265c38ce7f8","representation":"linear_trace","semantic_sha256":"8a32032c5210b5813ba60a8678d7ea1e07289ac585e56fd732322100e3a730eb"}
{"char_count":4775,"item_id":"train-d09-028::linear_trace","label":"TRUE","lexical_token_proxy_count":816,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_3a9057eecdf4 node_type=claim\nt=0001 CREATE_NODE id=n_1574e305a9bd node_type=claim\nt=0002 CREATE_NODE id=n_efa043ca1704 node_type=claim\nt=0003 CREATE_NODE id=n_aa0ca36a5e29 node_type=claim\nt=0004 CREATE_NODE id=n_e0ea4686ada3 node_type=claim\nt=0005 CREATE_NODE id=n_16b0dc3118af node_type=claim\nt=0006 CREATE_NODE id=n_0580768f2884 node_type=claim\nt=0007 CREATE_NODE id=n_5d5ca07142e0 node_type=claim\nt=0008 CREATE_NODE id=n_a0f784238dcc node_type=claim\nt=0009 CREATE_NODE id=n_bcd39a0e17cf node_type=claim\nt=0010 CREATE_NODE id=n_b7b61a4bee6a node_type=claim\nt=0011 CREATE_NODE id=n_5ab0bf3f25b7 node_type=claim\nt=0012 CREATE_NODE id=n_c92a6d00c41a node_type=claim\nt=0013 CREATE_NODE id=n_1aebda55dbdd node_type=claim\nt=0014 CREATE_NODE id=n_cef2acd07ce3 node_type=claim\nt=0015 CREATE_NODE id=n_afe3c840cfc7 node_type=claim\nt=0016 CREATE_NODE id=n_c79d507253fa node_type=claim\nt=0017 CREATE_NODE id=n_49356560382f node_type=claim\nt=0018 CREATE_NODE id=n_178fd8d22a26 node_type=claim\nt=0019 CREATE_NODE id=n_b99486f3c8e8 node_type=claim\nt=0020 CREATE_NODE id=n_aabad5ac1a82 node_type=claim\nt=0021 CREATE_NODE id=n_73eb2128e59c node_type=claim\nt=0022 CREATE_NODE id=n_2062694603f9 node_type=claim\nt=0023 CREATE_NODE id=n_1c61582c807b node_type=claim\nt=0024 CREATE_NODE id=n_5bd26ed06b74 node_type=claim\nt=0025 CREATE_NODE id=n_1747ba489fd7 node_type=claim\nt=0026 CREATE_NODE id=n_0d40095bb7aa node_type=claim\nt=0027 CREATE_NODE id=n_3f9ee0f9e123 node_type=claim\nt=0028 ASSERT_ROOT node=n_bcd39a0e17cf value=TRUE\nt=0029 ADD_EDGE edge_id=e_569c5df3b08f source=n_16b0dc3118af edge_type=supports target=n_1574e305a9bd\nt=0030 ADD_EDGE edge_id=e_3bbaf022dcd0 source=n_afe3c840cfc7 edge_type=supports target=n_b7b61a4bee6a\nt=0031 ADD_EDGE edge_id=e_c0b006eeddfe source=n_1aebda55dbdd edge_type=refutes target=n_5d5ca07142e0\nt=0032 ADD_EDGE edge_id=e_b1a4807c0125 source=n_5ab0bf3f25b7 edge_type=refutes target=n_73eb2128e59c\nt=0033 ADD_EDGE edge_id=e_bbe4af47eab4 source=n_16b0dc3118af edge_type=supports target=n_0580768f2884\nt=0034 ADD_EDGE edge_id=e_1b66da2c628c source=n_3f9ee0f9e123 edge_type=refutes target=n_5ab0bf3f25b7\nt=0035 ADD_EDGE edge_id=e_c66b017ed139 source=n_1aebda55dbdd edge_type=supports target=n_aabad5ac1a82\nt=0036 ADD_EDGE edge_id=e_ed9e7e33d211 source=n_5ab0bf3f25b7 edge_type=refutes target=n_b99486f3c8e8\nt=0037 ADD_EDGE edge_id=e_ac927334f750 source=n_0580768f2884 edge_type=refutes target=n_5bd26ed06b74\nt=0038 ADD_EDGE edge_id=e_7f8c9a9f8126 source=n_a0f784238dcc edge_type=refutes target=n_49356560382f\nt=0039 ADD_EDGE edge_id=e_b4b1f3fa5d90 source=n_0580768f2884 edge_type=refutes target=n_2062694603f9\nt=0040 ADD_EDGE edge_id=e_c0a4ecf3384d source=n_bcd39a0e17cf edge_type=supports target=n_c79d507253fa\nt=0041 ADD_EDGE edge_id=e_c9ba396af2d3 source=n_16b0dc3118af edge_type=refutes target=n_1c61582c807b\nt=0042 ADD_EDGE edge_id=e_420d529813ae source=n_b7b61a4bee6a edge_type=refutes target=n_3f9ee0f9e123\nt=0043 ADD_EDGE edge_id=e_45046e6dcb48 source=n_aa0ca36a5e29 edge_type=refutes target=n_e0ea4686ada3\nt=0044 ADD_EDGE edge_id=e_49476268fde6 source=n_16b0dc3118af edge_type=refutes target=n_c92a6d00c41a\nt=0045 ADD_EDGE edge_id=e_25e80a68eed5 source=n_b99486f3c8e8 edge_type=refutes target=n_cef2acd07ce3\nt=0046 ADD_EDGE edge_id=e_487832f1c82e source=n_a0f784238dcc edge_type=supports target=n_178fd8d22a26\nt=0047 ADD_EDGE edge_id=e_a865891558ff source=n_a0f784238dcc edge_type=supports target=n_efa043ca1704\nt=0048 ADD_EDGE edge_id=e_4fb2cf4be6a0 source=n_a0f784238dcc edge_type=supports target=n_1aebda55dbdd\nt=0049 ADD_EDGE edge_id=e_e0a6ed5634f5 source=n_0d40095bb7aa edge_type=supports target=n_afe3c840cfc7\nt=0050 ADD_EDGE edge_id=e_43295e22fce0 source=n_b99486f3c8e8 edge_type=supports target=n_1747ba489fd7\nt=0051 ADD_EDGE edge_id=e_4da7abf0177e source=n_0580768f2884 edge_type=refutes target=n_a0f784238dcc\nt=0052 ADD_EDGE edge_id=e_32ca023b9c5c source=n_bcd39a0e17cf edge_type=supports target=n_aa0ca36a5e29\nt=0053 ADD_EDGE edge_id=e_1e3733b704dd source=n_e0ea4686ada3 edge_type=supports target=n_0d40095bb7aa\nt=0054 ADD_EDGE edge_id=e_4cfc4bb60542 source=n_b99486f3c8e8 edge_type=supports target=n_3a9057eecdf4\nt=0055 QUERY source=n_bcd39a0e17cf target=n_3a9057eecdf4\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2592,"provenance":{"base_record_id":"train-d09-028","dataset":"livegraph-deterministic-parity-v3","depth":9,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d09-028","split":"train","variant":"clean"},"record_seed":201686567586741417,"render_sha256":"f9fffa28cb0d47a892c81615d333daeae535ff06586b888e02165771392cd81b","representation":"linear_trace","semantic_sha256":"4da5fde068eb9f3be3ff7026c738927fb5a77d6df5347d5648958fd88001149c"}
{"char_count":4775,"item_id":"train-d09-029::linear_trace","label":"FALSE","lexical_token_proxy_count":816,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_a11fcca32c19 node_type=claim\nt=0001 CREATE_NODE id=n_604c4f625487 node_type=claim\nt=0002 CREATE_NODE id=n_7dece61c1b19 node_type=claim\nt=0003 CREATE_NODE id=n_2d5f3f512eb4 node_type=claim\nt=0004 CREATE_NODE id=n_a8ec21804599 node_type=claim\nt=0005 CREATE_NODE id=n_1d96c4f014f2 node_type=claim\nt=0006 CREATE_NODE id=n_c1d3d433d427 node_type=claim\nt=0007 CREATE_NODE id=n_ff5c18451a66 node_type=claim\nt=0008 CREATE_NODE id=n_b03f91aed420 node_type=claim\nt=0009 CREATE_NODE id=n_62c9ca5400e6 node_type=claim\nt=0010 CREATE_NODE id=n_0e1ce525718d node_type=claim\nt=0011 CREATE_NODE id=n_f242fd6592d4 node_type=claim\nt=0012 CREATE_NODE id=n_15cb2469d541 node_type=claim\nt=0013 CREATE_NODE id=n_b1bbd86cde08 node_type=claim\nt=0014 CREATE_NODE id=n_6119b6fd1bab node_type=claim\nt=0015 CREATE_NODE id=n_f9ee7c4032c1 node_type=claim\nt=0016 CREATE_NODE id=n_de85f713ae0d node_type=claim\nt=0017 CREATE_NODE id=n_adf5a2ab0d15 node_type=claim\nt=0018 CREATE_NODE id=n_b0329af5f483 node_type=claim\nt=0019 CREATE_NODE id=n_dae6704d6397 node_type=claim\nt=0020 CREATE_NODE id=n_30fc57361e2b node_type=claim\nt=0021 CREATE_NODE id=n_61e708722ef2 node_type=claim\nt=0022 CREATE_NODE id=n_3cba5ee70700 node_type=claim\nt=0023 CREATE_NODE id=n_bd7f7fb7c9bd node_type=claim\nt=0024 CREATE_NODE id=n_964179ef21cf node_type=claim\nt=0025 CREATE_NODE id=n_05914153dcd5 node_type=claim\nt=0026 CREATE_NODE id=n_e789c2e17ec5 node_type=claim\nt=0027 CREATE_NODE id=n_e1434f430ad0 node_type=claim\nt=0028 ASSERT_ROOT node=n_a11fcca32c19 value=TRUE\nt=0029 ADD_EDGE edge_id=e_c1b63b5321c5 source=n_f242fd6592d4 edge_type=supports target=n_7dece61c1b19\nt=0030 ADD_EDGE edge_id=e_0d31f04ba73a source=n_2d5f3f512eb4 edge_type=supports target=n_e1434f430ad0\nt=0031 ADD_EDGE edge_id=e_c0b67d973d77 source=n_7dece61c1b19 edge_type=refutes target=n_c1d3d433d427\nt=0032 ADD_EDGE edge_id=e_b58a43fb2929 source=n_adf5a2ab0d15 edge_type=supports target=n_30fc57361e2b\nt=0033 ADD_EDGE edge_id=e_c75f12bd6e98 source=n_e1434f430ad0 edge_type=refutes target=n_f9ee7c4032c1\nt=0034 ADD_EDGE edge_id=e_935bfa5f1c6f source=n_bd7f7fb7c9bd edge_type=supports target=n_62c9ca5400e6\nt=0035 ADD_EDGE edge_id=e_5724df22f4ef source=n_61e708722ef2 edge_type=supports target=n_ff5c18451a66\nt=0036 ADD_EDGE edge_id=e_1a607b949e56 source=n_adf5a2ab0d15 edge_type=refutes target=n_1d96c4f014f2\nt=0037 ADD_EDGE edge_id=e_ca7f9d18415d source=n_de85f713ae0d edge_type=refutes target=n_6119b6fd1bab\nt=0038 ADD_EDGE edge_id=e_47d285c40c1e source=n_b0329af5f483 edge_type=supports target=n_15cb2469d541\nt=0039 ADD_EDGE edge_id=e_6d906e1b5d6d source=n_7dece61c1b19 edge_type=refutes target=n_0e1ce525718d\nt=0040 ADD_EDGE edge_id=e_5c2c8893b7be source=n_e1434f430ad0 edge_type=supports target=n_de85f713ae0d\nt=0041 ADD_EDGE edge_id=e_f2f827b26a7b source=n_b03f91aed420 edge_type=supports target=n_05914153dcd5\nt=0042 ADD_EDGE edge_id=e_afdff605982b source=n_adf5a2ab0d15 edge_type=refutes target=n_604c4f625487\nt=0043 ADD_EDGE edge_id=e_a28faa06e9b2 source=n_2d5f3f512eb4 edge_type=refutes target=n_dae6704d6397\nt=0044 ADD_EDGE edge_id=e_713f30cf55a7 source=n_61e708722ef2 edge_type=refutes target=n_a8ec21804599\nt=0045 ADD_EDGE edge_id=e_7a815bdc948a source=n_a8ec21804599 edge_type=refutes target=n_adf5a2ab0d15\nt=0046 ADD_EDGE edge_id=e_be5236867ff2 source=n_3cba5ee70700 edge_type=refutes target=n_61e708722ef2\nt=0047 ADD_EDGE edge_id=e_edd5de8ea1ff source=n_2d5f3f512eb4 edge_type=supports target=n_b0329af5f483\nt=0048 ADD_EDGE edge_id=e_986af1297800 source=n_b1bbd86cde08 edge_type=supports target=n_f242fd6592d4\nt=0049 ADD_EDGE edge_id=e_3a9f13edcd47 source=n_15cb2469d541 edge_type=refutes target=n_b03f91aed420\nt=0050 ADD_EDGE edge_id=e_98b3e7413304 source=n_0e1ce525718d edge_type=supports target=n_3cba5ee70700\nt=0051 ADD_EDGE edge_id=e_99d047c0592c source=n_e1434f430ad0 edge_type=refutes target=n_bd7f7fb7c9bd\nt=0052 ADD_EDGE edge_id=e_2c51cb0cb2cc source=n_a11fcca32c19 edge_type=refutes target=n_b1bbd86cde08\nt=0053 ADD_EDGE edge_id=e_af4e363688d6 source=n_bd7f7fb7c9bd edge_type=supports target=n_e789c2e17ec5\nt=0054 ADD_EDGE edge_id=e_52fa304bfcd8 source=n_15cb2469d541 edge_type=supports target=n_964179ef21cf\nt=0055 QUERY source=n_a11fcca32c19 target=n_30fc57361e2b\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2621,"provenance":{"base_record_id":"train-d09-029","dataset":"livegraph-deterministic-parity-v3","depth":9,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d09-029","split":"train","variant":"clean"},"record_seed":892414664447979378,"render_sha256":"2b4f1416e1c61c0772fe7269070549fa979e339b92039b0d74083a058912da1a","representation":"linear_trace","semantic_sha256":"3404e9914d7559697a8fb97eface3b6185e6442b4f905462a20b09df03cdb593"}
{"char_count":4776,"item_id":"train-d09-030::linear_trace","label":"TRUE","lexical_token_proxy_count":816,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_87b7560b5360 node_type=claim\nt=0001 CREATE_NODE id=n_3f37a1a0bb9e node_type=claim\nt=0002 CREATE_NODE id=n_1cf61a83982b node_type=claim\nt=0003 CREATE_NODE id=n_6b6090cbfc29 node_type=claim\nt=0004 CREATE_NODE id=n_c9f90fd2f154 node_type=claim\nt=0005 CREATE_NODE id=n_8fece780db48 node_type=claim\nt=0006 CREATE_NODE id=n_3950705581a0 node_type=claim\nt=0007 CREATE_NODE id=n_cd86194275a4 node_type=claim\nt=0008 CREATE_NODE id=n_bf5b1fa6b9e1 node_type=claim\nt=0009 CREATE_NODE id=n_cf61a11465a3 node_type=claim\nt=0010 CREATE_NODE id=n_91cb5d55f648 node_type=claim\nt=0011 CREATE_NODE id=n_9114b8d6217a node_type=claim\nt=0012 CREATE_NODE id=n_c362e2479e2a node_type=claim\nt=0013 CREATE_NODE id=n_7d1a68f7b54c node_type=claim\nt=0014 CREATE_NODE id=n_0410fe7c81db node_type=claim\nt=0015 CREATE_NODE id=n_89fc4bd5cbd5 node_type=claim\nt=0016 CREATE_NODE id=n_d62321507b3e node_type=claim\nt=0017 CREATE_NODE id=n_c68d211478e1 node_type=claim\nt=0018 CREATE_NODE id=n_f6f0a1685b54 node_type=claim\nt=0019 CREATE_NODE id=n_5450b6acd4df node_type=claim\nt=0020 CREATE_NODE id=n_46e9deacdad8 node_type=claim\nt=0021 CREATE_NODE id=n_7f24c4eca969 node_type=claim\nt=0022 CREATE_NODE id=n_3eb3f354f7e6 node_type=claim\nt=0023 CREATE_NODE id=n_a38c2e569144 node_type=claim\nt=0024 CREATE_NODE id=n_ebd65e40f40a node_type=claim\nt=0025 CREATE_NODE id=n_8b417cae3ad9 node_type=claim\nt=0026 CREATE_NODE id=n_532ca1f90ce9 node_type=claim\nt=0027 CREATE_NODE id=n_26a0ad3cfdba node_type=claim\nt=0028 ASSERT_ROOT node=n_cd86194275a4 value=FALSE\nt=0029 ADD_EDGE edge_id=e_c1cb76166d01 source=n_c68d211478e1 edge_type=refutes target=n_cf61a11465a3\nt=0030 ADD_EDGE edge_id=e_40c7fa02853d source=n_a38c2e569144 edge_type=supports target=n_3eb3f354f7e6\nt=0031 ADD_EDGE edge_id=e_d1d6c66b3f76 source=n_91cb5d55f648 edge_type=supports target=n_87b7560b5360\nt=0032 ADD_EDGE edge_id=e_f3d0ee045c3c source=n_c362e2479e2a edge_type=refutes target=n_7d1a68f7b54c\nt=0033 ADD_EDGE edge_id=e_7c953a1a3219 source=n_c68d211478e1 edge_type=supports target=n_91cb5d55f648\nt=0034 ADD_EDGE edge_id=e_f96fe65cbd88 source=n_7d1a68f7b54c edge_type=refutes target=n_46e9deacdad8\nt=0035 ADD_EDGE edge_id=e_d0744ecd1777 source=n_8fece780db48 edge_type=refutes target=n_bf5b1fa6b9e1\nt=0036 ADD_EDGE edge_id=e_ac451dce92b3 source=n_91cb5d55f648 edge_type=refutes target=n_8fece780db48\nt=0037 ADD_EDGE edge_id=e_d898705b5897 source=n_ebd65e40f40a edge_type=supports target=n_3f37a1a0bb9e\nt=0038 ADD_EDGE edge_id=e_8184e5711783 source=n_8fece780db48 edge_type=supports target=n_1cf61a83982b\nt=0039 ADD_EDGE edge_id=e_4d731754a2f7 source=n_1cf61a83982b edge_type=supports target=n_9114b8d6217a\nt=0040 ADD_EDGE edge_id=e_c55f6d0ef806 source=n_8fece780db48 edge_type=supports target=n_f6f0a1685b54\nt=0041 ADD_EDGE edge_id=e_3d511e6968fd source=n_8fece780db48 edge_type=supports target=n_c9f90fd2f154\nt=0042 ADD_EDGE edge_id=e_4e65fd3fbdec source=n_3eb3f354f7e6 edge_type=supports target=n_c362e2479e2a\nt=0043 ADD_EDGE edge_id=e_94002d32cb96 source=n_8b417cae3ad9 edge_type=supports target=n_5450b6acd4df\nt=0044 ADD_EDGE edge_id=e_d0c32d643685 source=n_8b417cae3ad9 edge_type=supports target=n_a38c2e569144\nt=0045 ADD_EDGE edge_id=e_e98a39d5345a source=n_46e9deacdad8 edge_type=refutes target=n_89fc4bd5cbd5\nt=0046 ADD_EDGE edge_id=e_a455485d89e8 source=n_6b6090cbfc29 edge_type=refutes target=n_26a0ad3cfdba\nt=0047 ADD_EDGE edge_id=e_142cd9a49bd3 source=n_c68d211478e1 edge_type=refutes target=n_d62321507b3e\nt=0048 ADD_EDGE edge_id=e_c4826834a28c source=n_d62321507b3e edge_type=supports target=n_3950705581a0\nt=0049 ADD_EDGE edge_id=e_c80973483062 source=n_c68d211478e1 edge_type=refutes target=n_532ca1f90ce9\nt=0050 ADD_EDGE edge_id=e_76623b62a9f0 source=n_ebd65e40f40a edge_type=refutes target=n_7f24c4eca969\nt=0051 ADD_EDGE edge_id=e_13cccd55317a source=n_cd86194275a4 edge_type=supports target=n_ebd65e40f40a\nt=0052 ADD_EDGE edge_id=e_71cc6a2bb51e source=n_ebd65e40f40a edge_type=refutes target=n_6b6090cbfc29\nt=0053 ADD_EDGE edge_id=e_0b1829059056 source=n_c68d211478e1 edge_type=refutes target=n_0410fe7c81db\nt=0054 ADD_EDGE edge_id=e_7a3fc3e84187 source=n_6b6090cbfc29 edge_type=refutes target=n_8b417cae3ad9\nt=0055 QUERY source=n_cd86194275a4 target=n_89fc4bd5cbd5\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2629,"provenance":{"base_record_id":"train-d09-030","dataset":"livegraph-deterministic-parity-v3","depth":9,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d09-030","split":"train","variant":"clean"},"record_seed":884200174256799931,"render_sha256":"5684ea43e953dfb623d574db3cd0d9e6473c887240fedee538063bee9ad7e10d","representation":"linear_trace","semantic_sha256":"db8392590f756aa0f18ea8220c123820eae10d2c55996736b4858318cf225f4d"}
{"char_count":4776,"item_id":"train-d09-031::linear_trace","label":"FALSE","lexical_token_proxy_count":816,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_b801ec05ec57 node_type=claim\nt=0001 CREATE_NODE id=n_9e4b326bb2d6 node_type=claim\nt=0002 CREATE_NODE id=n_a74e13a4201b node_type=claim\nt=0003 CREATE_NODE id=n_7c2b25926c87 node_type=claim\nt=0004 CREATE_NODE id=n_e42455685450 node_type=claim\nt=0005 CREATE_NODE id=n_d7f84ca1a7bd node_type=claim\nt=0006 CREATE_NODE id=n_45f7defe06eb node_type=claim\nt=0007 CREATE_NODE id=n_144b7a339446 node_type=claim\nt=0008 CREATE_NODE id=n_d3be138feaea node_type=claim\nt=0009 CREATE_NODE id=n_0c922194931d node_type=claim\nt=0010 CREATE_NODE id=n_57165df1b5b3 node_type=claim\nt=0011 CREATE_NODE id=n_22a258214f88 node_type=claim\nt=0012 CREATE_NODE id=n_f24bf7a9c59c node_type=claim\nt=0013 CREATE_NODE id=n_43c481457037 node_type=claim\nt=0014 CREATE_NODE id=n_29059070881c node_type=claim\nt=0015 CREATE_NODE id=n_707d44d33027 node_type=claim\nt=0016 CREATE_NODE id=n_1ceb5e65e0fd node_type=claim\nt=0017 CREATE_NODE id=n_f40ae9ba39ce node_type=claim\nt=0018 CREATE_NODE id=n_b829eae264a1 node_type=claim\nt=0019 CREATE_NODE id=n_f4e09c24f5ab node_type=claim\nt=0020 CREATE_NODE id=n_a5e49716d22c node_type=claim\nt=0021 CREATE_NODE id=n_c2a1c861195c node_type=claim\nt=0022 CREATE_NODE id=n_feeb92b18da0 node_type=claim\nt=0023 CREATE_NODE id=n_e741a60ef395 node_type=claim\nt=0024 CREATE_NODE id=n_5befe3eb2989 node_type=claim\nt=0025 CREATE_NODE id=n_05e04ac3a207 node_type=claim\nt=0026 CREATE_NODE id=n_f7fb427d3da0 node_type=claim\nt=0027 CREATE_NODE id=n_9cac07ad684c node_type=claim\nt=0028 ASSERT_ROOT node=n_a5e49716d22c value=FALSE\nt=0029 ADD_EDGE edge_id=e_6d78e62a9972 source=n_b801ec05ec57 edge_type=refutes target=n_05e04ac3a207\nt=0030 ADD_EDGE edge_id=e_d440e8ad10e2 source=n_7c2b25926c87 edge_type=refutes target=n_43c481457037\nt=0031 ADD_EDGE edge_id=e_5773b7dbb2a3 source=n_b829eae264a1 edge_type=supports target=n_f7fb427d3da0\nt=0032 ADD_EDGE edge_id=e_f8993447d972 source=n_b829eae264a1 edge_type=refutes target=n_22a258214f88\nt=0033 ADD_EDGE edge_id=e_adfd888c2eb5 source=n_7c2b25926c87 edge_type=supports target=n_9cac07ad684c\nt=0034 ADD_EDGE edge_id=e_ebc7ef49715b source=n_45f7defe06eb edge_type=supports target=n_d7f84ca1a7bd\nt=0035 ADD_EDGE edge_id=e_736763667dcc source=n_9cac07ad684c edge_type=refutes target=n_0c922194931d\nt=0036 ADD_EDGE edge_id=e_e2ae8ba0dad8 source=n_707d44d33027 edge_type=refutes target=n_b801ec05ec57\nt=0037 ADD_EDGE edge_id=e_cc31cab2fac5 source=n_45f7defe06eb edge_type=refutes target=n_f4e09c24f5ab\nt=0038 ADD_EDGE edge_id=e_ff28cbbece45 source=n_b801ec05ec57 edge_type=refutes target=n_29059070881c\nt=0039 ADD_EDGE edge_id=e_ba5c98a93638 source=n_43c481457037 edge_type=supports target=n_5befe3eb2989\nt=0040 ADD_EDGE edge_id=e_e947ba08c78e source=n_45f7defe06eb edge_type=supports target=n_57165df1b5b3\nt=0041 ADD_EDGE edge_id=e_49ee15c8c773 source=n_d3be138feaea edge_type=refutes target=n_45f7defe06eb\nt=0042 ADD_EDGE edge_id=e_cb4ad8bdecec source=n_22a258214f88 edge_type=refutes target=n_f40ae9ba39ce\nt=0043 ADD_EDGE edge_id=e_87df9b950ab5 source=n_a5e49716d22c edge_type=supports target=n_b829eae264a1\nt=0044 ADD_EDGE edge_id=e_d08c07bd12da source=n_a74e13a4201b edge_type=supports target=n_d3be138feaea\nt=0045 ADD_EDGE edge_id=e_b15edf001a19 source=n_a5e49716d22c edge_type=refutes target=n_e42455685450\nt=0046 ADD_EDGE edge_id=e_86411e1fc716 source=n_144b7a339446 edge_type=supports target=n_1ceb5e65e0fd\nt=0047 ADD_EDGE edge_id=e_f5eca6001c48 source=n_1ceb5e65e0fd edge_type=supports target=n_a74e13a4201b\nt=0048 ADD_EDGE edge_id=e_c9dbdbc11d79 source=n_7c2b25926c87 edge_type=supports target=n_707d44d33027\nt=0049 ADD_EDGE edge_id=e_da60e762f095 source=n_0c922194931d edge_type=refutes target=n_9e4b326bb2d6\nt=0050 ADD_EDGE edge_id=e_c529f2442db7 source=n_9e4b326bb2d6 edge_type=supports target=n_f24bf7a9c59c\nt=0051 ADD_EDGE edge_id=e_aa5022b864e0 source=n_f24bf7a9c59c edge_type=refutes target=n_feeb92b18da0\nt=0052 ADD_EDGE edge_id=e_efebd3d841dc source=n_f40ae9ba39ce edge_type=supports target=n_144b7a339446\nt=0053 ADD_EDGE edge_id=e_34165d96673b source=n_7c2b25926c87 edge_type=refutes target=n_e741a60ef395\nt=0054 ADD_EDGE edge_id=e_fb2a5fa7fb65 source=n_b801ec05ec57 edge_type=supports target=n_c2a1c861195c\nt=0055 QUERY source=n_a5e49716d22c target=n_f4e09c24f5ab\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2611,"provenance":{"base_record_id":"train-d09-031","dataset":"livegraph-deterministic-parity-v3","depth":9,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d09-031","split":"train","variant":"clean"},"record_seed":79368085529860887,"render_sha256":"0f6a7e746e9c7474ae9b81d1735fb3a4a08dadefed1b0d74ec226bb19a5df7ec","representation":"linear_trace","semantic_sha256":"bf3f676b11e364bb0639a8de29b4deee89100ce90a1a137ae5c202c44bd8d3cf"}
{"char_count":4775,"item_id":"train-d09-032::linear_trace","label":"TRUE","lexical_token_proxy_count":816,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_6424fa56723e node_type=claim\nt=0001 CREATE_NODE id=n_a4b5dc53846f node_type=claim\nt=0002 CREATE_NODE id=n_2ba22f05c7de node_type=claim\nt=0003 CREATE_NODE id=n_3da684fd4b18 node_type=claim\nt=0004 CREATE_NODE id=n_8af55e7d5660 node_type=claim\nt=0005 CREATE_NODE id=n_87e967abb60f node_type=claim\nt=0006 CREATE_NODE id=n_04399cd8c06a node_type=claim\nt=0007 CREATE_NODE id=n_35b9abd396c6 node_type=claim\nt=0008 CREATE_NODE id=n_f108a217f092 node_type=claim\nt=0009 CREATE_NODE id=n_75095662ef82 node_type=claim\nt=0010 CREATE_NODE id=n_0e20efb320ee node_type=claim\nt=0011 CREATE_NODE id=n_c3abf7c5fec6 node_type=claim\nt=0012 CREATE_NODE id=n_fb197e0b59f0 node_type=claim\nt=0013 CREATE_NODE id=n_0e2ddd7365fc node_type=claim\nt=0014 CREATE_NODE id=n_f8da9ff2e70b node_type=claim\nt=0015 CREATE_NODE id=n_fd8bd799143e node_type=claim\nt=0016 CREATE_NODE id=n_c0f3073f1fb9 node_type=claim\nt=0017 CREATE_NODE id=n_48082e24736f node_type=claim\nt=0018 CREATE_NODE id=n_dfc86ef9286c node_type=claim\nt=0019 CREATE_NODE id=n_5d0a30061e83 node_type=claim\nt=0020 CREATE_NODE id=n_aed49625e21e node_type=claim\nt=0021 CREATE_NODE id=n_a37d616d5bfd node_type=claim\nt=0022 CREATE_NODE id=n_1067f9a38465 node_type=claim\nt=0023 CREATE_NODE id=n_268cfaffe09b node_type=claim\nt=0024 CREATE_NODE id=n_f21993118d4b node_type=claim\nt=0025 CREATE_NODE id=n_3ee5ac1caf50 node_type=claim\nt=0026 CREATE_NODE id=n_5fda779538b6 node_type=claim\nt=0027 CREATE_NODE id=n_8c0ca93a9d83 node_type=claim\nt=0028 ASSERT_ROOT node=n_0e2ddd7365fc value=TRUE\nt=0029 ADD_EDGE edge_id=e_a6f10a2152d3 source=n_268cfaffe09b edge_type=supports target=n_fb197e0b59f0\nt=0030 ADD_EDGE edge_id=e_e76702460a52 source=n_87e967abb60f edge_type=supports target=n_2ba22f05c7de\nt=0031 ADD_EDGE edge_id=e_12c69ce46dc9 source=n_c0f3073f1fb9 edge_type=refutes target=n_8c0ca93a9d83\nt=0032 ADD_EDGE edge_id=e_1fd7bd001a6b source=n_f8da9ff2e70b edge_type=refutes target=n_f21993118d4b\nt=0033 ADD_EDGE edge_id=e_b39242090d2a source=n_2ba22f05c7de edge_type=supports target=n_48082e24736f\nt=0034 ADD_EDGE edge_id=e_e7d7e28b486f source=n_87e967abb60f edge_type=supports target=n_f8da9ff2e70b\nt=0035 ADD_EDGE edge_id=e_ac93db85035e source=n_2ba22f05c7de edge_type=refutes target=n_a4b5dc53846f\nt=0036 ADD_EDGE edge_id=e_439150b975ab source=n_2ba22f05c7de edge_type=refutes target=n_3ee5ac1caf50\nt=0037 ADD_EDGE edge_id=e_114a1b8e096a source=n_87e967abb60f edge_type=supports target=n_5d0a30061e83\nt=0038 ADD_EDGE edge_id=e_b7dfbfb97e40 source=n_0e20efb320ee edge_type=refutes target=n_aed49625e21e\nt=0039 ADD_EDGE edge_id=e_cedc84bee080 source=n_c0f3073f1fb9 edge_type=supports target=n_0e20efb320ee\nt=0040 ADD_EDGE edge_id=e_b84c5ae0ec91 source=n_04399cd8c06a edge_type=supports target=n_a37d616d5bfd\nt=0041 ADD_EDGE edge_id=e_ba9a8083d85c source=n_87e967abb60f edge_type=supports target=n_dfc86ef9286c\nt=0042 ADD_EDGE edge_id=e_49145d993179 source=n_f8da9ff2e70b edge_type=supports target=n_6424fa56723e\nt=0043 ADD_EDGE edge_id=e_a9d5456f6d64 source=n_0e2ddd7365fc edge_type=refutes target=n_1067f9a38465\nt=0044 ADD_EDGE edge_id=e_532bb8d5ee4c source=n_75095662ef82 edge_type=refutes target=n_c0f3073f1fb9\nt=0045 ADD_EDGE edge_id=e_5ca4c7d0069a source=n_04399cd8c06a edge_type=supports target=n_3da684fd4b18\nt=0046 ADD_EDGE edge_id=e_bdb72b8af5f7 source=n_dfc86ef9286c edge_type=refutes target=n_268cfaffe09b\nt=0047 ADD_EDGE edge_id=e_1bdf48d58ffb source=n_75095662ef82 edge_type=supports target=n_f108a217f092\nt=0048 ADD_EDGE edge_id=e_403753fc1399 source=n_6424fa56723e edge_type=supports target=n_fd8bd799143e\nt=0049 ADD_EDGE edge_id=e_a6b4c90c4205 source=n_1067f9a38465 edge_type=refutes target=n_75095662ef82\nt=0050 ADD_EDGE edge_id=e_560d44248392 source=n_a37d616d5bfd edge_type=refutes target=n_5fda779538b6\nt=0051 ADD_EDGE edge_id=e_47c839bcc67e source=n_8af55e7d5660 edge_type=refutes target=n_04399cd8c06a\nt=0052 ADD_EDGE edge_id=e_10f2af7f11d5 source=n_aed49625e21e edge_type=refutes target=n_8af55e7d5660\nt=0053 ADD_EDGE edge_id=e_0d5aea87c881 source=n_a37d616d5bfd edge_type=supports target=n_c3abf7c5fec6\nt=0054 ADD_EDGE edge_id=e_0b49580f58cc source=n_a4b5dc53846f edge_type=refutes target=n_35b9abd396c6\nt=0055 QUERY source=n_0e2ddd7365fc target=n_c3abf7c5fec6\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2614,"provenance":{"base_record_id":"train-d09-032","dataset":"livegraph-deterministic-parity-v3","depth":9,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d09-032","split":"train","variant":"clean"},"record_seed":613137076600712450,"render_sha256":"ac48c2412b8ba3dca0ef9f75a3ec608990bf31dbd7878c793c9a20a2c5b76ca9","representation":"linear_trace","semantic_sha256":"f6c4ab6542cdcf0fb0a7ba5beeeb1376c331cc44bd2d8beae60a1f9f89558358"}
{"char_count":4775,"item_id":"train-d09-033::linear_trace","label":"FALSE","lexical_token_proxy_count":816,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_af2adc598f2d node_type=claim\nt=0001 CREATE_NODE id=n_af012bb08a05 node_type=claim\nt=0002 CREATE_NODE id=n_fd01dc0c4b9a node_type=claim\nt=0003 CREATE_NODE id=n_63a2d6f049c9 node_type=claim\nt=0004 CREATE_NODE id=n_aba8e9bc3080 node_type=claim\nt=0005 CREATE_NODE id=n_2435c6d1fb95 node_type=claim\nt=0006 CREATE_NODE id=n_729b5ca97ede node_type=claim\nt=0007 CREATE_NODE id=n_61fa75e79c97 node_type=claim\nt=0008 CREATE_NODE id=n_6241da1b7f15 node_type=claim\nt=0009 CREATE_NODE id=n_c77973015780 node_type=claim\nt=0010 CREATE_NODE id=n_0e62e2c2501e node_type=claim\nt=0011 CREATE_NODE id=n_ee762ce2abd2 node_type=claim\nt=0012 CREATE_NODE id=n_88c047fbbc3a node_type=claim\nt=0013 CREATE_NODE id=n_b5318903bb18 node_type=claim\nt=0014 CREATE_NODE id=n_5848d59fd166 node_type=claim\nt=0015 CREATE_NODE id=n_78547f0980b5 node_type=claim\nt=0016 CREATE_NODE id=n_bc7eb6065f2e node_type=claim\nt=0017 CREATE_NODE id=n_99c8b67ef1d2 node_type=claim\nt=0018 CREATE_NODE id=n_274d1c43d647 node_type=claim\nt=0019 CREATE_NODE id=n_7c51bfb0ae00 node_type=claim\nt=0020 CREATE_NODE id=n_a52c333f97a3 node_type=claim\nt=0021 CREATE_NODE id=n_1f9fedc00a02 node_type=claim\nt=0022 CREATE_NODE id=n_63fffbe76754 node_type=claim\nt=0023 CREATE_NODE id=n_ddc8c92450df node_type=claim\nt=0024 CREATE_NODE id=n_fa1d23b3664a node_type=claim\nt=0025 CREATE_NODE id=n_735608b0e83c node_type=claim\nt=0026 CREATE_NODE id=n_b38602aba369 node_type=claim\nt=0027 CREATE_NODE id=n_574752a6da54 node_type=claim\nt=0028 ASSERT_ROOT node=n_1f9fedc00a02 value=TRUE\nt=0029 ADD_EDGE edge_id=e_989edda67964 source=n_ddc8c92450df edge_type=supports target=n_78547f0980b5\nt=0030 ADD_EDGE edge_id=e_1b235472c062 source=n_ee762ce2abd2 edge_type=supports target=n_a52c333f97a3\nt=0031 ADD_EDGE edge_id=e_b04af58ee05b source=n_574752a6da54 edge_type=supports target=n_88c047fbbc3a\nt=0032 ADD_EDGE edge_id=e_ccd981d9978b source=n_7c51bfb0ae00 edge_type=refutes target=n_6241da1b7f15\nt=0033 ADD_EDGE edge_id=e_dcea63524141 source=n_af012bb08a05 edge_type=refutes target=n_b38602aba369\nt=0034 ADD_EDGE edge_id=e_7818f44b3efc source=n_fa1d23b3664a edge_type=supports target=n_bc7eb6065f2e\nt=0035 ADD_EDGE edge_id=e_3b78d67b4e27 source=n_735608b0e83c edge_type=supports target=n_af012bb08a05\nt=0036 ADD_EDGE edge_id=e_0a160b64bdfc source=n_ee762ce2abd2 edge_type=supports target=n_fa1d23b3664a\nt=0037 ADD_EDGE edge_id=e_bc60d52fcaf1 source=n_ee762ce2abd2 edge_type=refutes target=n_63fffbe76754\nt=0038 ADD_EDGE edge_id=e_2414f4ebca4f source=n_bc7eb6065f2e edge_type=refutes target=n_63a2d6f049c9\nt=0039 ADD_EDGE edge_id=e_230167c4bc75 source=n_aba8e9bc3080 edge_type=refutes target=n_274d1c43d647\nt=0040 ADD_EDGE edge_id=e_2010cc9a4832 source=n_7c51bfb0ae00 edge_type=refutes target=n_c77973015780\nt=0041 ADD_EDGE edge_id=e_4f9c1bbd9f87 source=n_b38602aba369 edge_type=refutes target=n_2435c6d1fb95\nt=0042 ADD_EDGE edge_id=e_444dff4304b2 source=n_735608b0e83c edge_type=refutes target=n_0e62e2c2501e\nt=0043 ADD_EDGE edge_id=e_2f042bfa3012 source=n_2435c6d1fb95 edge_type=refutes target=n_574752a6da54\nt=0044 ADD_EDGE edge_id=e_e2e538d99476 source=n_ee762ce2abd2 edge_type=supports target=n_729b5ca97ede\nt=0045 ADD_EDGE edge_id=e_ad7db92ba4f5 source=n_61fa75e79c97 edge_type=supports target=n_fd01dc0c4b9a\nt=0046 ADD_EDGE edge_id=e_1512fcd65fdb source=n_574752a6da54 edge_type=supports target=n_b5318903bb18\nt=0047 ADD_EDGE edge_id=e_221c0ad6c108 source=n_ddc8c92450df edge_type=supports target=n_5848d59fd166\nt=0048 ADD_EDGE edge_id=e_f43e83e6766a source=n_88c047fbbc3a edge_type=supports target=n_aba8e9bc3080\nt=0049 ADD_EDGE edge_id=e_844f881198d0 source=n_1f9fedc00a02 edge_type=refutes target=n_735608b0e83c\nt=0050 ADD_EDGE edge_id=e_87137b9ad263 source=n_ee762ce2abd2 edge_type=supports target=n_61fa75e79c97\nt=0051 ADD_EDGE edge_id=e_747b72c2577e source=n_274d1c43d647 edge_type=supports target=n_7c51bfb0ae00\nt=0052 ADD_EDGE edge_id=e_1e8aaffbcf8e source=n_ee762ce2abd2 edge_type=refutes target=n_ddc8c92450df\nt=0053 ADD_EDGE edge_id=e_82387578e215 source=n_a52c333f97a3 edge_type=refutes target=n_af2adc598f2d\nt=0054 ADD_EDGE edge_id=e_e1cb5224205f source=n_bc7eb6065f2e edge_type=refutes target=n_99c8b67ef1d2\nt=0055 QUERY source=n_1f9fedc00a02 target=n_7c51bfb0ae00\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2608,"provenance":{"base_record_id":"train-d09-033","dataset":"livegraph-deterministic-parity-v3","depth":9,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d09-033","split":"train","variant":"clean"},"record_seed":492411351337913505,"render_sha256":"f01f8cae2ad35987135ed80fe4de2ec3d9a5a1cc3101a721fe53c6e8c092ddd0","representation":"linear_trace","semantic_sha256":"6ade418a3acb93e10f30cf10f7b68e50daecd901d038d5c82241310da8773572"}
{"char_count":4776,"item_id":"train-d09-034::linear_trace","label":"TRUE","lexical_token_proxy_count":816,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_7ad676c70951 node_type=claim\nt=0001 CREATE_NODE id=n_85315debd909 node_type=claim\nt=0002 CREATE_NODE id=n_5d19855e35c4 node_type=claim\nt=0003 CREATE_NODE id=n_a1b1fb3c78c8 node_type=claim\nt=0004 CREATE_NODE id=n_189c6d476917 node_type=claim\nt=0005 CREATE_NODE id=n_a07cb8ab3bfc node_type=claim\nt=0006 CREATE_NODE id=n_be8ad3c657c5 node_type=claim\nt=0007 CREATE_NODE id=n_0d2cc2a9f169 node_type=claim\nt=0008 CREATE_NODE id=n_e0bc954623ca node_type=claim\nt=0009 CREATE_NODE id=n_d9c46975b016 node_type=claim\nt=0010 CREATE_NODE id=n_f0e7bab563e2 node_type=claim\nt=0011 CREATE_NODE id=n_c509e0609cd6 node_type=claim\nt=0012 CREATE_NODE id=n_ce5e583891aa node_type=claim\nt=0013 CREATE_NODE id=n_db520e9d5655 node_type=claim\nt=0014 CREATE_NODE id=n_a171adc2907e node_type=claim\nt=0015 CREATE_NODE id=n_5182946c1b83 node_type=claim\nt=0016 CREATE_NODE id=n_02e7a4c9072e node_type=claim\nt=0017 CREATE_NODE id=n_d8c7c9c7b157 node_type=claim\nt=0018 CREATE_NODE id=n_1dd47f1b2a95 node_type=claim\nt=0019 CREATE_NODE id=n_86b9829cac7b node_type=claim\nt=0020 CREATE_NODE id=n_f6712b51ff6a node_type=claim\nt=0021 CREATE_NODE id=n_3abf417415c3 node_type=claim\nt=0022 CREATE_NODE id=n_6b5d4777c342 node_type=claim\nt=0023 CREATE_NODE id=n_ae12d2bd8f60 node_type=claim\nt=0024 CREATE_NODE id=n_ab0ae329c336 node_type=claim\nt=0025 CREATE_NODE id=n_73112e054e50 node_type=claim\nt=0026 CREATE_NODE id=n_e2504542c6e0 node_type=claim\nt=0027 CREATE_NODE id=n_7a189382396e node_type=claim\nt=0028 ASSERT_ROOT node=n_1dd47f1b2a95 value=FALSE\nt=0029 ADD_EDGE edge_id=e_7c7c7e4d64ac source=n_3abf417415c3 edge_type=supports target=n_ce5e583891aa\nt=0030 ADD_EDGE edge_id=e_7f2aacf36363 source=n_ab0ae329c336 edge_type=supports target=n_3abf417415c3\nt=0031 ADD_EDGE edge_id=e_9dee960b936b source=n_e2504542c6e0 edge_type=refutes target=n_d8c7c9c7b157\nt=0032 ADD_EDGE edge_id=e_162811045fe9 source=n_0d2cc2a9f169 edge_type=refutes target=n_db520e9d5655\nt=0033 ADD_EDGE edge_id=e_fb74985f133d source=n_f0e7bab563e2 edge_type=supports target=n_e2504542c6e0\nt=0034 ADD_EDGE edge_id=e_daed73a9c364 source=n_be8ad3c657c5 edge_type=supports target=n_ae12d2bd8f60\nt=0035 ADD_EDGE edge_id=e_970a74d3d2ed source=n_1dd47f1b2a95 edge_type=supports target=n_86b9829cac7b\nt=0036 ADD_EDGE edge_id=e_e30315ddbfa7 source=n_6b5d4777c342 edge_type=refutes target=n_73112e054e50\nt=0037 ADD_EDGE edge_id=e_a87c1e67c13c source=n_ae12d2bd8f60 edge_type=supports target=n_85315debd909\nt=0038 ADD_EDGE edge_id=e_2edefd1cfdd0 source=n_5182946c1b83 edge_type=refutes target=n_ab0ae329c336\nt=0039 ADD_EDGE edge_id=e_855bef613f50 source=n_6b5d4777c342 edge_type=refutes target=n_7ad676c70951\nt=0040 ADD_EDGE edge_id=e_aaaffd60b759 source=n_7ad676c70951 edge_type=refutes target=n_5d19855e35c4\nt=0041 ADD_EDGE edge_id=e_fec61270664d source=n_f0e7bab563e2 edge_type=supports target=n_f6712b51ff6a\nt=0042 ADD_EDGE edge_id=e_b75a0452a8b3 source=n_ae12d2bd8f60 edge_type=refutes target=n_c509e0609cd6\nt=0043 ADD_EDGE edge_id=e_ee4b2ced53f7 source=n_d9c46975b016 edge_type=refutes target=n_a07cb8ab3bfc\nt=0044 ADD_EDGE edge_id=e_b54c25bb647c source=n_86b9829cac7b edge_type=refutes target=n_6b5d4777c342\nt=0045 ADD_EDGE edge_id=e_21c16276687e source=n_3abf417415c3 edge_type=supports target=n_a1b1fb3c78c8\nt=0046 ADD_EDGE edge_id=e_961ac748fba7 source=n_d8c7c9c7b157 edge_type=refutes target=n_189c6d476917\nt=0047 ADD_EDGE edge_id=e_59a8000910c6 source=n_1dd47f1b2a95 edge_type=supports target=n_02e7a4c9072e\nt=0048 ADD_EDGE edge_id=e_dafef3f0f20e source=n_ae12d2bd8f60 edge_type=refutes target=n_d9c46975b016\nt=0049 ADD_EDGE edge_id=e_74fbb2700054 source=n_a171adc2907e edge_type=supports target=n_5182946c1b83\nt=0050 ADD_EDGE edge_id=e_529a66073ed1 source=n_d8c7c9c7b157 edge_type=supports target=n_be8ad3c657c5\nt=0051 ADD_EDGE edge_id=e_b54565ef751b source=n_7a189382396e edge_type=refutes target=n_a171adc2907e\nt=0052 ADD_EDGE edge_id=e_97a8fb51fa24 source=n_7ad676c70951 edge_type=refutes target=n_7a189382396e\nt=0053 ADD_EDGE edge_id=e_3d45d3fe2d00 source=n_c509e0609cd6 edge_type=supports target=n_0d2cc2a9f169\nt=0054 ADD_EDGE edge_id=e_3f05bfc28eb4 source=n_ae12d2bd8f60 edge_type=supports target=n_e0bc954623ca\nt=0055 QUERY source=n_1dd47f1b2a95 target=n_a1b1fb3c78c8\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2643,"provenance":{"base_record_id":"train-d09-034","dataset":"livegraph-deterministic-parity-v3","depth":9,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d09-034","split":"train","variant":"clean"},"record_seed":403577852129521686,"render_sha256":"c5c0779601e21b939aac51f0dfd0906393bb7294f4fd240cd4dc539526cbbaf5","representation":"linear_trace","semantic_sha256":"5476fb40c516db2990ef1075cb12fd48f739e062552b60df93501c1f33c8c132"}
{"char_count":4776,"item_id":"train-d09-035::linear_trace","label":"FALSE","lexical_token_proxy_count":816,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_599a976214e8 node_type=claim\nt=0001 CREATE_NODE id=n_fc05e0413d8a node_type=claim\nt=0002 CREATE_NODE id=n_97513e2ce70c node_type=claim\nt=0003 CREATE_NODE id=n_da630f9e7fe4 node_type=claim\nt=0004 CREATE_NODE id=n_58a8410da28a node_type=claim\nt=0005 CREATE_NODE id=n_bd97a1de2cf1 node_type=claim\nt=0006 CREATE_NODE id=n_1f6683df263c node_type=claim\nt=0007 CREATE_NODE id=n_46914b8a36e9 node_type=claim\nt=0008 CREATE_NODE id=n_f5b75421447a node_type=claim\nt=0009 CREATE_NODE id=n_ed2e4d0489ca node_type=claim\nt=0010 CREATE_NODE id=n_4c427540a8b3 node_type=claim\nt=0011 CREATE_NODE id=n_2183a4c6eb18 node_type=claim\nt=0012 CREATE_NODE id=n_e76d5fd63f91 node_type=claim\nt=0013 CREATE_NODE id=n_e6f5bf1b35aa node_type=claim\nt=0014 CREATE_NODE id=n_2402016190d0 node_type=claim\nt=0015 CREATE_NODE id=n_5a33d3e927c2 node_type=claim\nt=0016 CREATE_NODE id=n_92f1272a3d5e node_type=claim\nt=0017 CREATE_NODE id=n_7ca015275f33 node_type=claim\nt=0018 CREATE_NODE id=n_5dee658d055c node_type=claim\nt=0019 CREATE_NODE id=n_f5e698ac6b37 node_type=claim\nt=0020 CREATE_NODE id=n_d034952ebd64 node_type=claim\nt=0021 CREATE_NODE id=n_cea8c848e0cd node_type=claim\nt=0022 CREATE_NODE id=n_feb747637514 node_type=claim\nt=0023 CREATE_NODE id=n_c1ea5141c52e node_type=claim\nt=0024 CREATE_NODE id=n_9ac5253a5d72 node_type=claim\nt=0025 CREATE_NODE id=n_3268e06a6db6 node_type=claim\nt=0026 CREATE_NODE id=n_bc4274eff135 node_type=claim\nt=0027 CREATE_NODE id=n_c7817c8db65a node_type=claim\nt=0028 ASSERT_ROOT node=n_d034952ebd64 value=FALSE\nt=0029 ADD_EDGE edge_id=e_e4027a979908 source=n_9ac5253a5d72 edge_type=refutes target=n_c7817c8db65a\nt=0030 ADD_EDGE edge_id=e_e83c5295f95b source=n_fc05e0413d8a edge_type=supports target=n_97513e2ce70c\nt=0031 ADD_EDGE edge_id=e_df15ddcf812b source=n_9ac5253a5d72 edge_type=refutes target=n_58a8410da28a\nt=0032 ADD_EDGE edge_id=e_aa6736bf426f source=n_cea8c848e0cd edge_type=refutes target=n_5a33d3e927c2\nt=0033 ADD_EDGE edge_id=e_c5d1c5277ffe source=n_f5e698ac6b37 edge_type=supports target=n_4c427540a8b3\nt=0034 ADD_EDGE edge_id=e_567401749933 source=n_c7817c8db65a edge_type=refutes target=n_ed2e4d0489ca\nt=0035 ADD_EDGE edge_id=e_83c979262f3c source=n_92f1272a3d5e edge_type=supports target=n_3268e06a6db6\nt=0036 ADD_EDGE edge_id=e_9cb9d0ea9c54 source=n_f5e698ac6b37 edge_type=supports target=n_feb747637514\nt=0037 ADD_EDGE edge_id=e_6231a29b855a source=n_599a976214e8 edge_type=refutes target=n_c1ea5141c52e\nt=0038 ADD_EDGE edge_id=e_3b763b60d62d source=n_d034952ebd64 edge_type=supports target=n_fc05e0413d8a\nt=0039 ADD_EDGE edge_id=e_17aea9578376 source=n_c7817c8db65a edge_type=refutes target=n_bc4274eff135\nt=0040 ADD_EDGE edge_id=e_491c63927d87 source=n_5dee658d055c edge_type=supports target=n_92f1272a3d5e\nt=0041 ADD_EDGE edge_id=e_c411f50b9594 source=n_3268e06a6db6 edge_type=supports target=n_46914b8a36e9\nt=0042 ADD_EDGE edge_id=e_59eee72033e9 source=n_fc05e0413d8a edge_type=refutes target=n_f5b75421447a\nt=0043 ADD_EDGE edge_id=e_6a2cfbd10791 source=n_cea8c848e0cd edge_type=supports target=n_5dee658d055c\nt=0044 ADD_EDGE edge_id=e_da060ffe000e source=n_c7817c8db65a edge_type=refutes target=n_bd97a1de2cf1\nt=0045 ADD_EDGE edge_id=e_01348cfab217 source=n_58a8410da28a edge_type=refutes target=n_2183a4c6eb18\nt=0046 ADD_EDGE edge_id=e_de4c2c3c9824 source=n_599a976214e8 edge_type=supports target=n_cea8c848e0cd\nt=0047 ADD_EDGE edge_id=e_416d71c88e49 source=n_46914b8a36e9 edge_type=refutes target=n_1f6683df263c\nt=0048 ADD_EDGE edge_id=e_26fe183be471 source=n_f5b75421447a edge_type=supports target=n_599a976214e8\nt=0049 ADD_EDGE edge_id=e_18d49cb7804a source=n_ed2e4d0489ca edge_type=refutes target=n_7ca015275f33\nt=0050 ADD_EDGE edge_id=e_36062b589f8d source=n_2183a4c6eb18 edge_type=refutes target=n_e6f5bf1b35aa\nt=0051 ADD_EDGE edge_id=e_5ac8128c075a source=n_f5e698ac6b37 edge_type=supports target=n_e76d5fd63f91\nt=0052 ADD_EDGE edge_id=e_fae1f5f83961 source=n_9ac5253a5d72 edge_type=refutes target=n_da630f9e7fe4\nt=0053 ADD_EDGE edge_id=e_e18870190862 source=n_ed2e4d0489ca edge_type=supports target=n_f5e698ac6b37\nt=0054 ADD_EDGE edge_id=e_9d8647335765 source=n_5dee658d055c edge_type=supports target=n_2402016190d0\nt=0055 QUERY source=n_d034952ebd64 target=n_1f6683df263c\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2647,"provenance":{"base_record_id":"train-d09-035","dataset":"livegraph-deterministic-parity-v3","depth":9,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d09-035","split":"train","variant":"clean"},"record_seed":749695961904580260,"render_sha256":"2b3b964fcf266033fd644d0b0d5cfbd88708df8d9aa1d6f16158359f26725e31","representation":"linear_trace","semantic_sha256":"aa1e21f20ab4c071ae04d2187262c54473f3312fc1de811d484f9a162c5143aa"}
{"char_count":4775,"item_id":"train-d09-036::linear_trace","label":"TRUE","lexical_token_proxy_count":816,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_6090773be3d2 node_type=claim\nt=0001 CREATE_NODE id=n_92b4d72054ad node_type=claim\nt=0002 CREATE_NODE id=n_71c73f35e608 node_type=claim\nt=0003 CREATE_NODE id=n_c6c241655a75 node_type=claim\nt=0004 CREATE_NODE id=n_bf584c277844 node_type=claim\nt=0005 CREATE_NODE id=n_fcb90df4bb2e node_type=claim\nt=0006 CREATE_NODE id=n_c47a12380bf1 node_type=claim\nt=0007 CREATE_NODE id=n_cd479bbbfa7e node_type=claim\nt=0008 CREATE_NODE id=n_df09fe455ce7 node_type=claim\nt=0009 CREATE_NODE id=n_d887ed49175e node_type=claim\nt=0010 CREATE_NODE id=n_005ca5a6b7a7 node_type=claim\nt=0011 CREATE_NODE id=n_f00981ef4819 node_type=claim\nt=0012 CREATE_NODE id=n_19fd94d2ba3f node_type=claim\nt=0013 CREATE_NODE id=n_d38848734ff4 node_type=claim\nt=0014 CREATE_NODE id=n_628a31c1fbc9 node_type=claim\nt=0015 CREATE_NODE id=n_27516500da7e node_type=claim\nt=0016 CREATE_NODE id=n_1018330274bb node_type=claim\nt=0017 CREATE_NODE id=n_eb366a83de32 node_type=claim\nt=0018 CREATE_NODE id=n_3fe8c9b25f5d node_type=claim\nt=0019 CREATE_NODE id=n_a3ab0ab0a22e node_type=claim\nt=0020 CREATE_NODE id=n_99cdc4c6d379 node_type=claim\nt=0021 CREATE_NODE id=n_70a9b68abe53 node_type=claim\nt=0022 CREATE_NODE id=n_79d4855b70a2 node_type=claim\nt=0023 CREATE_NODE id=n_5f24e087c1ab node_type=claim\nt=0024 CREATE_NODE id=n_3a15d8cee7db node_type=claim\nt=0025 CREATE_NODE id=n_b6ef55eab533 node_type=claim\nt=0026 CREATE_NODE id=n_76aaf4d72218 node_type=claim\nt=0027 CREATE_NODE id=n_f2762f3ca014 node_type=claim\nt=0028 ASSERT_ROOT node=n_005ca5a6b7a7 value=TRUE\nt=0029 ADD_EDGE edge_id=e_c6032c7d9f6d source=n_cd479bbbfa7e edge_type=refutes target=n_b6ef55eab533\nt=0030 ADD_EDGE edge_id=e_db0852ed4ed2 source=n_71c73f35e608 edge_type=supports target=n_3a15d8cee7db\nt=0031 ADD_EDGE edge_id=e_d60ac58ca799 source=n_92b4d72054ad edge_type=refutes target=n_d38848734ff4\nt=0032 ADD_EDGE edge_id=e_58c4882a715c source=n_99cdc4c6d379 edge_type=refutes target=n_27516500da7e\nt=0033 ADD_EDGE edge_id=e_74d2df73ff28 source=n_3a15d8cee7db edge_type=refutes target=n_628a31c1fbc9\nt=0034 ADD_EDGE edge_id=e_226ad9f2eeb1 source=n_3a15d8cee7db edge_type=supports target=n_6090773be3d2\nt=0035 ADD_EDGE edge_id=e_fc44d0d36347 source=n_92b4d72054ad edge_type=refutes target=n_f2762f3ca014\nt=0036 ADD_EDGE edge_id=e_4b8aa7b7b116 source=n_eb366a83de32 edge_type=refutes target=n_d887ed49175e\nt=0037 ADD_EDGE edge_id=e_dc4717304606 source=n_71c73f35e608 edge_type=supports target=n_f00981ef4819\nt=0038 ADD_EDGE edge_id=e_34553fd964b9 source=n_79d4855b70a2 edge_type=supports target=n_76aaf4d72218\nt=0039 ADD_EDGE edge_id=e_84ddd30ef65e source=n_19fd94d2ba3f edge_type=refutes target=n_fcb90df4bb2e\nt=0040 ADD_EDGE edge_id=e_ea25f3db3663 source=n_19fd94d2ba3f edge_type=supports target=n_5f24e087c1ab\nt=0041 ADD_EDGE edge_id=e_ec4364f74adb source=n_3a15d8cee7db edge_type=supports target=n_cd479bbbfa7e\nt=0042 ADD_EDGE edge_id=e_17c0ad705f26 source=n_005ca5a6b7a7 edge_type=refutes target=n_79d4855b70a2\nt=0043 ADD_EDGE edge_id=e_870d5be124a8 source=n_cd479bbbfa7e edge_type=refutes target=n_c6c241655a75\nt=0044 ADD_EDGE edge_id=e_9fb56532a5a8 source=n_1018330274bb edge_type=refutes target=n_92b4d72054ad\nt=0045 ADD_EDGE edge_id=e_158f5e892441 source=n_df09fe455ce7 edge_type=refutes target=n_70a9b68abe53\nt=0046 ADD_EDGE edge_id=e_c315b5430cc2 source=n_76aaf4d72218 edge_type=supports target=n_99cdc4c6d379\nt=0047 ADD_EDGE edge_id=e_1d463b23bd1e source=n_3fe8c9b25f5d edge_type=supports target=n_a3ab0ab0a22e\nt=0048 ADD_EDGE edge_id=e_787cf18fbeea source=n_a3ab0ab0a22e edge_type=supports target=n_df09fe455ce7\nt=0049 ADD_EDGE edge_id=e_5698a8ec877a source=n_92b4d72054ad edge_type=supports target=n_3fe8c9b25f5d\nt=0050 ADD_EDGE edge_id=e_8dfbcb5eb5bc source=n_71c73f35e608 edge_type=supports target=n_19fd94d2ba3f\nt=0051 ADD_EDGE edge_id=e_402d844a043a source=n_6090773be3d2 edge_type=supports target=n_c47a12380bf1\nt=0052 ADD_EDGE edge_id=e_afcbf1cbe95a source=n_99cdc4c6d379 edge_type=refutes target=n_1018330274bb\nt=0053 ADD_EDGE edge_id=e_bfac8d0f10cd source=n_71c73f35e608 edge_type=supports target=n_eb366a83de32\nt=0054 ADD_EDGE edge_id=e_063aa71785ae source=n_df09fe455ce7 edge_type=refutes target=n_bf584c277844\nt=0055 QUERY source=n_005ca5a6b7a7 target=n_bf584c277844\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2600,"provenance":{"base_record_id":"train-d09-036","dataset":"livegraph-deterministic-parity-v3","depth":9,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d09-036","split":"train","variant":"clean"},"record_seed":436913195151073576,"render_sha256":"b0b01d619dc7294be8346f80c01a176fa1f0843bd806982b59a18ea1389bdf70","representation":"linear_trace","semantic_sha256":"273e2e9829783dea8084586949a5edbb42edaac32f4d3a96987e68cd8865a923"}
{"char_count":4775,"item_id":"train-d09-037::linear_trace","label":"FALSE","lexical_token_proxy_count":816,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_ea4bb5298305 node_type=claim\nt=0001 CREATE_NODE id=n_279a0ec83d1f node_type=claim\nt=0002 CREATE_NODE id=n_53b3e9d9a2f1 node_type=claim\nt=0003 CREATE_NODE id=n_710aae6e11a2 node_type=claim\nt=0004 CREATE_NODE id=n_1afb0f672866 node_type=claim\nt=0005 CREATE_NODE id=n_71818973d4ad node_type=claim\nt=0006 CREATE_NODE id=n_7a0025f5b562 node_type=claim\nt=0007 CREATE_NODE id=n_575966fdb126 node_type=claim\nt=0008 CREATE_NODE id=n_abdd6e79616c node_type=claim\nt=0009 CREATE_NODE id=n_2d17c891fac2 node_type=claim\nt=0010 CREATE_NODE id=n_8585fb46b55a node_type=claim\nt=0011 CREATE_NODE id=n_d4b55ab8eb93 node_type=claim\nt=0012 CREATE_NODE id=n_31b499054708 node_type=claim\nt=0013 CREATE_NODE id=n_381ef409cd68 node_type=claim\nt=0014 CREATE_NODE id=n_81c9604f9436 node_type=claim\nt=0015 CREATE_NODE id=n_b0bfcf41a980 node_type=claim\nt=0016 CREATE_NODE id=n_f3f78449380e node_type=claim\nt=0017 CREATE_NODE id=n_616d3248f6e4 node_type=claim\nt=0018 CREATE_NODE id=n_7f3b813a6fbc node_type=claim\nt=0019 CREATE_NODE id=n_7229f60ee595 node_type=claim\nt=0020 CREATE_NODE id=n_b0c657d3eb8c node_type=claim\nt=0021 CREATE_NODE id=n_d3bd8be05b4d node_type=claim\nt=0022 CREATE_NODE id=n_438c51b2147a node_type=claim\nt=0023 CREATE_NODE id=n_cc4a12d2fcc4 node_type=claim\nt=0024 CREATE_NODE id=n_6eefb3c8f00a node_type=claim\nt=0025 CREATE_NODE id=n_3eeded93ea64 node_type=claim\nt=0026 CREATE_NODE id=n_2c3c4649e8f2 node_type=claim\nt=0027 CREATE_NODE id=n_32a3209f6059 node_type=claim\nt=0028 ASSERT_ROOT node=n_7229f60ee595 value=TRUE\nt=0029 ADD_EDGE edge_id=e_bc5c76d21aca source=n_6eefb3c8f00a edge_type=supports target=n_710aae6e11a2\nt=0030 ADD_EDGE edge_id=e_44c3bdbb58df source=n_381ef409cd68 edge_type=refutes target=n_ea4bb5298305\nt=0031 ADD_EDGE edge_id=e_5cfbc70f48a6 source=n_b0bfcf41a980 edge_type=supports target=n_279a0ec83d1f\nt=0032 ADD_EDGE edge_id=e_d1c84233a715 source=n_71818973d4ad edge_type=refutes target=n_3eeded93ea64\nt=0033 ADD_EDGE edge_id=e_626c585f0473 source=n_31b499054708 edge_type=supports target=n_438c51b2147a\nt=0034 ADD_EDGE edge_id=e_02ed56ad0721 source=n_b0c657d3eb8c edge_type=supports target=n_2d17c891fac2\nt=0035 ADD_EDGE edge_id=e_0731b2d8e349 source=n_7a0025f5b562 edge_type=supports target=n_7f3b813a6fbc\nt=0036 ADD_EDGE edge_id=e_c4cb11f33e96 source=n_2d17c891fac2 edge_type=refutes target=n_abdd6e79616c\nt=0037 ADD_EDGE edge_id=e_ba963bed2bbb source=n_710aae6e11a2 edge_type=supports target=n_616d3248f6e4\nt=0038 ADD_EDGE edge_id=e_87ea65c2ca3d source=n_71818973d4ad edge_type=refutes target=n_b0c657d3eb8c\nt=0039 ADD_EDGE edge_id=e_d1e9fe122c68 source=n_8585fb46b55a edge_type=refutes target=n_cc4a12d2fcc4\nt=0040 ADD_EDGE edge_id=e_07f8653caa76 source=n_710aae6e11a2 edge_type=refutes target=n_71818973d4ad\nt=0041 ADD_EDGE edge_id=e_439db1495582 source=n_81c9604f9436 edge_type=refutes target=n_53b3e9d9a2f1\nt=0042 ADD_EDGE edge_id=e_e9bf0d86c844 source=n_8585fb46b55a edge_type=supports target=n_d4b55ab8eb93\nt=0043 ADD_EDGE edge_id=e_a47ed789ee17 source=n_279a0ec83d1f edge_type=supports target=n_8585fb46b55a\nt=0044 ADD_EDGE edge_id=e_c853af0fbc7d source=n_d3bd8be05b4d edge_type=supports target=n_2c3c4649e8f2\nt=0045 ADD_EDGE edge_id=e_e034a0fac91f source=n_d3bd8be05b4d edge_type=refutes target=n_31b499054708\nt=0046 ADD_EDGE edge_id=e_fcdb5c30b9d4 source=n_32a3209f6059 edge_type=refutes target=n_d3bd8be05b4d\nt=0047 ADD_EDGE edge_id=e_0b98954b2d8e source=n_710aae6e11a2 edge_type=refutes target=n_1afb0f672866\nt=0048 ADD_EDGE edge_id=e_30a4cb0f6880 source=n_7a0025f5b562 edge_type=refutes target=n_575966fdb126\nt=0049 ADD_EDGE edge_id=e_373af70dc3d4 source=n_7229f60ee595 edge_type=refutes target=n_b0bfcf41a980\nt=0050 ADD_EDGE edge_id=e_f1f3d1a32f8a source=n_6eefb3c8f00a edge_type=refutes target=n_81c9604f9436\nt=0051 ADD_EDGE edge_id=e_a6e4bc546681 source=n_710aae6e11a2 edge_type=supports target=n_7a0025f5b562\nt=0052 ADD_EDGE edge_id=e_14020aea5fe0 source=n_d4b55ab8eb93 edge_type=supports target=n_381ef409cd68\nt=0053 ADD_EDGE edge_id=e_bf4bfc56bedd source=n_381ef409cd68 edge_type=supports target=n_32a3209f6059\nt=0054 ADD_EDGE edge_id=e_a57edc65f299 source=n_279a0ec83d1f edge_type=supports target=n_f3f78449380e\nt=0055 QUERY source=n_7229f60ee595 target=n_438c51b2147a\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2640,"provenance":{"base_record_id":"train-d09-037","dataset":"livegraph-deterministic-parity-v3","depth":9,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d09-037","split":"train","variant":"clean"},"record_seed":515592977595935453,"render_sha256":"22a82fe2eec46c8224bd87a1730aedb0427402192c4908416128209935b57892","representation":"linear_trace","semantic_sha256":"846c8bcdcf51bfca72ad2c2d56c3bce7c1c7e4231efda53c7b99a2e64006cd0c"}
{"char_count":4776,"item_id":"train-d09-038::linear_trace","label":"TRUE","lexical_token_proxy_count":816,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_5fab2fe16939 node_type=claim\nt=0001 CREATE_NODE id=n_6f026b544131 node_type=claim\nt=0002 CREATE_NODE id=n_b516ffb292f2 node_type=claim\nt=0003 CREATE_NODE id=n_4e56a586f25a node_type=claim\nt=0004 CREATE_NODE id=n_b95c472824a4 node_type=claim\nt=0005 CREATE_NODE id=n_7c0dfe3c9a06 node_type=claim\nt=0006 CREATE_NODE id=n_6dc59c862f86 node_type=claim\nt=0007 CREATE_NODE id=n_34d1a9cd8f39 node_type=claim\nt=0008 CREATE_NODE id=n_eb5ae8dbb8a6 node_type=claim\nt=0009 CREATE_NODE id=n_a0fd9d755be3 node_type=claim\nt=0010 CREATE_NODE id=n_6b66687e175d node_type=claim\nt=0011 CREATE_NODE id=n_88a5498d056f node_type=claim\nt=0012 CREATE_NODE id=n_9d73632f1824 node_type=claim\nt=0013 CREATE_NODE id=n_9cb2da17e571 node_type=claim\nt=0014 CREATE_NODE id=n_736841026bcb node_type=claim\nt=0015 CREATE_NODE id=n_99883b8f109a node_type=claim\nt=0016 CREATE_NODE id=n_de6b09bf1e26 node_type=claim\nt=0017 CREATE_NODE id=n_8e407c265dda node_type=claim\nt=0018 CREATE_NODE id=n_1db2e98c235f node_type=claim\nt=0019 CREATE_NODE id=n_e56ef99ff167 node_type=claim\nt=0020 CREATE_NODE id=n_7c6bf08f2b29 node_type=claim\nt=0021 CREATE_NODE id=n_513740778723 node_type=claim\nt=0022 CREATE_NODE id=n_25ca9e0e6df5 node_type=claim\nt=0023 CREATE_NODE id=n_33e7169b7427 node_type=claim\nt=0024 CREATE_NODE id=n_80e6a794c243 node_type=claim\nt=0025 CREATE_NODE id=n_945637264249 node_type=claim\nt=0026 CREATE_NODE id=n_a856afa6f078 node_type=claim\nt=0027 CREATE_NODE id=n_fa704d8352e8 node_type=claim\nt=0028 ASSERT_ROOT node=n_6f026b544131 value=FALSE\nt=0029 ADD_EDGE edge_id=e_320f4ab3aa3f source=n_b516ffb292f2 edge_type=refutes target=n_5fab2fe16939\nt=0030 ADD_EDGE edge_id=e_290d57568d50 source=n_34d1a9cd8f39 edge_type=refutes target=n_80e6a794c243\nt=0031 ADD_EDGE edge_id=e_05f2de3e2302 source=n_6f026b544131 edge_type=refutes target=n_4e56a586f25a\nt=0032 ADD_EDGE edge_id=e_c613d4f2e032 source=n_99883b8f109a edge_type=refutes target=n_a0fd9d755be3\nt=0033 ADD_EDGE edge_id=e_7473980d393e source=n_9d73632f1824 edge_type=supports target=n_945637264249\nt=0034 ADD_EDGE edge_id=e_62d7aedb0877 source=n_9cb2da17e571 edge_type=supports target=n_fa704d8352e8\nt=0035 ADD_EDGE edge_id=e_065555f003c1 source=n_1db2e98c235f edge_type=supports target=n_a856afa6f078\nt=0036 ADD_EDGE edge_id=e_8e2c983a416c source=n_99883b8f109a edge_type=supports target=n_8e407c265dda\nt=0037 ADD_EDGE edge_id=e_b1b8ac3c0c22 source=n_eb5ae8dbb8a6 edge_type=refutes target=n_6b66687e175d\nt=0038 ADD_EDGE edge_id=e_dbfb893bda53 source=n_34d1a9cd8f39 edge_type=supports target=n_25ca9e0e6df5\nt=0039 ADD_EDGE edge_id=e_6381a45ec445 source=n_6b66687e175d edge_type=refutes target=n_b516ffb292f2\nt=0040 ADD_EDGE edge_id=e_cab6be34d5ac source=n_9cb2da17e571 edge_type=supports target=n_b95c472824a4\nt=0041 ADD_EDGE edge_id=e_d04e2ad055b3 source=n_6dc59c862f86 edge_type=refutes target=n_de6b09bf1e26\nt=0042 ADD_EDGE edge_id=e_f4f4fa870570 source=n_99883b8f109a edge_type=supports target=n_7c0dfe3c9a06\nt=0043 ADD_EDGE edge_id=e_a5439b04c941 source=n_99883b8f109a edge_type=refutes target=n_34d1a9cd8f39\nt=0044 ADD_EDGE edge_id=e_1611ccffd1b8 source=n_513740778723 edge_type=refutes target=n_eb5ae8dbb8a6\nt=0045 ADD_EDGE edge_id=e_5cce148a6487 source=n_eb5ae8dbb8a6 edge_type=refutes target=n_7c6bf08f2b29\nt=0046 ADD_EDGE edge_id=e_903403b1ab6a source=n_6dc59c862f86 edge_type=supports target=n_99883b8f109a\nt=0047 ADD_EDGE edge_id=e_cd14b6817178 source=n_736841026bcb edge_type=refutes target=n_1db2e98c235f\nt=0048 ADD_EDGE edge_id=e_e572361bb743 source=n_80e6a794c243 edge_type=supports target=n_33e7169b7427\nt=0049 ADD_EDGE edge_id=e_7cca9976e541 source=n_fa704d8352e8 edge_type=supports target=n_513740778723\nt=0050 ADD_EDGE edge_id=e_2280b431d91f source=n_a0fd9d755be3 edge_type=supports target=n_e56ef99ff167\nt=0051 ADD_EDGE edge_id=e_4100a50035c6 source=n_9d73632f1824 edge_type=refutes target=n_88a5498d056f\nt=0052 ADD_EDGE edge_id=e_3d63b26cd703 source=n_a0fd9d755be3 edge_type=supports target=n_9d73632f1824\nt=0053 ADD_EDGE edge_id=e_8dd2a20b301d source=n_a856afa6f078 edge_type=refutes target=n_9cb2da17e571\nt=0054 ADD_EDGE edge_id=e_391180605dc8 source=n_6f026b544131 edge_type=supports target=n_736841026bcb\nt=0055 QUERY source=n_6f026b544131 target=n_b516ffb292f2\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2659,"provenance":{"base_record_id":"train-d09-038","dataset":"livegraph-deterministic-parity-v3","depth":9,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d09-038","split":"train","variant":"clean"},"record_seed":921963176195122759,"render_sha256":"57f5335b437484609ffb96e1237e510cbd73e34632705218efc927f2104e9ebf","representation":"linear_trace","semantic_sha256":"27b6f51840d95ab6be7e4ef5ae7c2641405314540b22b750d2d101de310aef83"}
{"char_count":4776,"item_id":"train-d09-039::linear_trace","label":"FALSE","lexical_token_proxy_count":816,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_2d52ed4f375f node_type=claim\nt=0001 CREATE_NODE id=n_06761b4420c7 node_type=claim\nt=0002 CREATE_NODE id=n_569cb0fd036c node_type=claim\nt=0003 CREATE_NODE id=n_60b69591bf0d node_type=claim\nt=0004 CREATE_NODE id=n_e372e23904a2 node_type=claim\nt=0005 CREATE_NODE id=n_bfab0f2b2760 node_type=claim\nt=0006 CREATE_NODE id=n_dfafcaf69b45 node_type=claim\nt=0007 CREATE_NODE id=n_1f57d7ab8ca5 node_type=claim\nt=0008 CREATE_NODE id=n_1f17e6db8ad7 node_type=claim\nt=0009 CREATE_NODE id=n_fc87d460c7e7 node_type=claim\nt=0010 CREATE_NODE id=n_4142ccded618 node_type=claim\nt=0011 CREATE_NODE id=n_552e2776733d node_type=claim\nt=0012 CREATE_NODE id=n_9f49546b657b node_type=claim\nt=0013 CREATE_NODE id=n_b0e76cd7f557 node_type=claim\nt=0014 CREATE_NODE id=n_52aea8903f48 node_type=claim\nt=0015 CREATE_NODE id=n_3d1c4d2c0766 node_type=claim\nt=0016 CREATE_NODE id=n_119f29febfa2 node_type=claim\nt=0017 CREATE_NODE id=n_5f122e275be9 node_type=claim\nt=0018 CREATE_NODE id=n_582cf9029cc9 node_type=claim\nt=0019 CREATE_NODE id=n_d46860bfbe0d node_type=claim\nt=0020 CREATE_NODE id=n_8273a6a612ce node_type=claim\nt=0021 CREATE_NODE id=n_9c32d0b000d5 node_type=claim\nt=0022 CREATE_NODE id=n_782b0200b2b0 node_type=claim\nt=0023 CREATE_NODE id=n_2788a82c69ed node_type=claim\nt=0024 CREATE_NODE id=n_13f99cb56965 node_type=claim\nt=0025 CREATE_NODE id=n_8a6546b71815 node_type=claim\nt=0026 CREATE_NODE id=n_bd534271b56c node_type=claim\nt=0027 CREATE_NODE id=n_2aafa7f04482 node_type=claim\nt=0028 ASSERT_ROOT node=n_8a6546b71815 value=FALSE\nt=0029 ADD_EDGE edge_id=e_d1406c2829ef source=n_06761b4420c7 edge_type=refutes target=n_8273a6a612ce\nt=0030 ADD_EDGE edge_id=e_f6f6e3046448 source=n_9c32d0b000d5 edge_type=supports target=n_582cf9029cc9\nt=0031 ADD_EDGE edge_id=e_0e914f186f34 source=n_13f99cb56965 edge_type=supports target=n_3d1c4d2c0766\nt=0032 ADD_EDGE edge_id=e_8312b3d376ad source=n_13f99cb56965 edge_type=refutes target=n_d46860bfbe0d\nt=0033 ADD_EDGE edge_id=e_7f10964a6da6 source=n_8273a6a612ce edge_type=refutes target=n_552e2776733d\nt=0034 ADD_EDGE edge_id=e_ce73907cd964 source=n_782b0200b2b0 edge_type=supports target=n_4142ccded618\nt=0035 ADD_EDGE edge_id=e_57133707cf8a source=n_2d52ed4f375f edge_type=supports target=n_06761b4420c7\nt=0036 ADD_EDGE edge_id=e_2248480a5f5c source=n_13f99cb56965 edge_type=supports target=n_52aea8903f48\nt=0037 ADD_EDGE edge_id=e_d076d5f20484 source=n_5f122e275be9 edge_type=refutes target=n_569cb0fd036c\nt=0038 ADD_EDGE edge_id=e_9c7fbab31861 source=n_3d1c4d2c0766 edge_type=refutes target=n_9c32d0b000d5\nt=0039 ADD_EDGE edge_id=e_81ba45e8adb0 source=n_d46860bfbe0d edge_type=supports target=n_60b69591bf0d\nt=0040 ADD_EDGE edge_id=e_9e7ce5994250 source=n_3d1c4d2c0766 edge_type=supports target=n_1f17e6db8ad7\nt=0041 ADD_EDGE edge_id=e_705714abd62f source=n_dfafcaf69b45 edge_type=supports target=n_2d52ed4f375f\nt=0042 ADD_EDGE edge_id=e_91b62a16bdd2 source=n_1f57d7ab8ca5 edge_type=refutes target=n_782b0200b2b0\nt=0043 ADD_EDGE edge_id=e_fa4fc015db98 source=n_13f99cb56965 edge_type=refutes target=n_5f122e275be9\nt=0044 ADD_EDGE edge_id=e_a767fa790c72 source=n_52aea8903f48 edge_type=supports target=n_119f29febfa2\nt=0045 ADD_EDGE edge_id=e_7a4d39afa60a source=n_552e2776733d edge_type=supports target=n_e372e23904a2\nt=0046 ADD_EDGE edge_id=e_d0b6c92cc7c7 source=n_2aafa7f04482 edge_type=refutes target=n_b0e76cd7f557\nt=0047 ADD_EDGE edge_id=e_50547c408ba1 source=n_8a6546b71815 edge_type=supports target=n_1f57d7ab8ca5\nt=0048 ADD_EDGE edge_id=e_830692b1f1da source=n_552e2776733d edge_type=refutes target=n_2aafa7f04482\nt=0049 ADD_EDGE edge_id=e_72e5a1fdcb19 source=n_52aea8903f48 edge_type=refutes target=n_2788a82c69ed\nt=0050 ADD_EDGE edge_id=e_6b896bf026eb source=n_52aea8903f48 edge_type=supports target=n_fc87d460c7e7\nt=0051 ADD_EDGE edge_id=e_3080770a1f88 source=n_8a6546b71815 edge_type=refutes target=n_9f49546b657b\nt=0052 ADD_EDGE edge_id=e_5d2af5c3c5f3 source=n_d46860bfbe0d edge_type=refutes target=n_bd534271b56c\nt=0053 ADD_EDGE edge_id=e_27fe068e8043 source=n_4142ccded618 edge_type=supports target=n_dfafcaf69b45\nt=0054 ADD_EDGE edge_id=e_fcf815126fa4 source=n_782b0200b2b0 edge_type=refutes target=n_bfab0f2b2760\nt=0055 QUERY source=n_8a6546b71815 target=n_2aafa7f04482\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2639,"provenance":{"base_record_id":"train-d09-039","dataset":"livegraph-deterministic-parity-v3","depth":9,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d09-039","split":"train","variant":"clean"},"record_seed":803603050768059368,"render_sha256":"aab29dce2f5830cf1238279627164046c40f898a39ca42810986d006c51d7431","representation":"linear_trace","semantic_sha256":"a5100875c7599bd115d9705e1a80e47a3f1bb27527865a91b68fac202bc05d97"}
{"char_count":4775,"item_id":"train-d09-040::linear_trace","label":"TRUE","lexical_token_proxy_count":816,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_d382294817e6 node_type=claim\nt=0001 CREATE_NODE id=n_a5bfbc6e7dfb node_type=claim\nt=0002 CREATE_NODE id=n_36a756ac35e5 node_type=claim\nt=0003 CREATE_NODE id=n_b05a87191a00 node_type=claim\nt=0004 CREATE_NODE id=n_3aa07a2f950c node_type=claim\nt=0005 CREATE_NODE id=n_2118861c8272 node_type=claim\nt=0006 CREATE_NODE id=n_fb3f4263b21c node_type=claim\nt=0007 CREATE_NODE id=n_04fbc5c9b0ce node_type=claim\nt=0008 CREATE_NODE id=n_35dfd3493acc node_type=claim\nt=0009 CREATE_NODE id=n_c3ac5ca9a45c node_type=claim\nt=0010 CREATE_NODE id=n_3961e9f21002 node_type=claim\nt=0011 CREATE_NODE id=n_d9e6921e3782 node_type=claim\nt=0012 CREATE_NODE id=n_cd0cc0be1a06 node_type=claim\nt=0013 CREATE_NODE id=n_87ee6d5589bc node_type=claim\nt=0014 CREATE_NODE id=n_27186c29ea7c node_type=claim\nt=0015 CREATE_NODE id=n_cb1ea33fce9c node_type=claim\nt=0016 CREATE_NODE id=n_5e8ed7fe7050 node_type=claim\nt=0017 CREATE_NODE id=n_f64ef28b7bc8 node_type=claim\nt=0018 CREATE_NODE id=n_3a2920afa96e node_type=claim\nt=0019 CREATE_NODE id=n_2cd5ddf17f4f node_type=claim\nt=0020 CREATE_NODE id=n_5ace6c1dc840 node_type=claim\nt=0021 CREATE_NODE id=n_c9fab9bf9f11 node_type=claim\nt=0022 CREATE_NODE id=n_5add9e270fe0 node_type=claim\nt=0023 CREATE_NODE id=n_ff8abf049ed7 node_type=claim\nt=0024 CREATE_NODE id=n_712e45cf4d96 node_type=claim\nt=0025 CREATE_NODE id=n_0e8a697ef0d1 node_type=claim\nt=0026 CREATE_NODE id=n_0508ffb6cdfb node_type=claim\nt=0027 CREATE_NODE id=n_02f143a84e0e node_type=claim\nt=0028 ASSERT_ROOT node=n_cb1ea33fce9c value=TRUE\nt=0029 ADD_EDGE edge_id=e_338ee82e5ea6 source=n_c9fab9bf9f11 edge_type=supports target=n_3aa07a2f950c\nt=0030 ADD_EDGE edge_id=e_96e0fc5445d8 source=n_3a2920afa96e edge_type=supports target=n_ff8abf049ed7\nt=0031 ADD_EDGE edge_id=e_5f4d997b53ff source=n_c3ac5ca9a45c edge_type=supports target=n_cd0cc0be1a06\nt=0032 ADD_EDGE edge_id=e_82b55fe652b0 source=n_cd0cc0be1a06 edge_type=supports target=n_f64ef28b7bc8\nt=0033 ADD_EDGE edge_id=e_9c88464d1901 source=n_5e8ed7fe7050 edge_type=supports target=n_35dfd3493acc\nt=0034 ADD_EDGE edge_id=e_f40cba63b3a1 source=n_fb3f4263b21c edge_type=refutes target=n_5ace6c1dc840\nt=0035 ADD_EDGE edge_id=e_bacea27f02cf source=n_712e45cf4d96 edge_type=refutes target=n_3a2920afa96e\nt=0036 ADD_EDGE edge_id=e_885496572a86 source=n_712e45cf4d96 edge_type=refutes target=n_c3ac5ca9a45c\nt=0037 ADD_EDGE edge_id=e_89ae1b6a0bb3 source=n_c9fab9bf9f11 edge_type=supports target=n_02f143a84e0e\nt=0038 ADD_EDGE edge_id=e_680ce83b9c6a source=n_cd0cc0be1a06 edge_type=refutes target=n_b05a87191a00\nt=0039 ADD_EDGE edge_id=e_35e5771ea096 source=n_712e45cf4d96 edge_type=supports target=n_a5bfbc6e7dfb\nt=0040 ADD_EDGE edge_id=e_9340372918e0 source=n_cd0cc0be1a06 edge_type=supports target=n_5add9e270fe0\nt=0041 ADD_EDGE edge_id=e_a53cada16063 source=n_712e45cf4d96 edge_type=refutes target=n_5e8ed7fe7050\nt=0042 ADD_EDGE edge_id=e_549ebe625452 source=n_5ace6c1dc840 edge_type=refutes target=n_87ee6d5589bc\nt=0043 ADD_EDGE edge_id=e_b7c1c17933ba source=n_2118861c8272 edge_type=refutes target=n_04fbc5c9b0ce\nt=0044 ADD_EDGE edge_id=e_414ab040afaa source=n_2118861c8272 edge_type=refutes target=n_d382294817e6\nt=0045 ADD_EDGE edge_id=e_762df9d20a68 source=n_d382294817e6 edge_type=refutes target=n_27186c29ea7c\nt=0046 ADD_EDGE edge_id=e_33e0c388833f source=n_cb1ea33fce9c edge_type=supports target=n_fb3f4263b21c\nt=0047 ADD_EDGE edge_id=e_cdaca0411af0 source=n_87ee6d5589bc edge_type=supports target=n_2cd5ddf17f4f\nt=0048 ADD_EDGE edge_id=e_558a7748a940 source=n_02f143a84e0e edge_type=refutes target=n_3961e9f21002\nt=0049 ADD_EDGE edge_id=e_f7f2d6db773f source=n_3a2920afa96e edge_type=supports target=n_36a756ac35e5\nt=0050 ADD_EDGE edge_id=e_51e76876774e source=n_2cd5ddf17f4f edge_type=supports target=n_2118861c8272\nt=0051 ADD_EDGE edge_id=e_bb16feee8339 source=n_27186c29ea7c edge_type=supports target=n_c9fab9bf9f11\nt=0052 ADD_EDGE edge_id=e_84d1a3695585 source=n_a5bfbc6e7dfb edge_type=refutes target=n_0e8a697ef0d1\nt=0053 ADD_EDGE edge_id=e_5d9da2b90fb1 source=n_d382294817e6 edge_type=refutes target=n_0508ffb6cdfb\nt=0054 ADD_EDGE edge_id=e_bdc60582da08 source=n_712e45cf4d96 edge_type=refutes target=n_d9e6921e3782\nt=0055 QUERY source=n_cb1ea33fce9c target=n_02f143a84e0e\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2596,"provenance":{"base_record_id":"train-d09-040","dataset":"livegraph-deterministic-parity-v3","depth":9,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d09-040","split":"train","variant":"clean"},"record_seed":663679202346625944,"render_sha256":"12afefc752a1c73cf1821118ad8e924d737c7a54603acaae7198a606099eef43","representation":"linear_trace","semantic_sha256":"f3d3abbbcbcdd1e4d2ffd0592c0b62668b51ce00777def41c543480a7ae78c21"}
{"char_count":4775,"item_id":"train-d09-041::linear_trace","label":"FALSE","lexical_token_proxy_count":816,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_f45b731ba3db node_type=claim\nt=0001 CREATE_NODE id=n_2677ef90c192 node_type=claim\nt=0002 CREATE_NODE id=n_034a7157a2dd node_type=claim\nt=0003 CREATE_NODE id=n_3be6314c65c7 node_type=claim\nt=0004 CREATE_NODE id=n_0c7ce5c2e067 node_type=claim\nt=0005 CREATE_NODE id=n_8d99eb29a0c6 node_type=claim\nt=0006 CREATE_NODE id=n_97afee3cee14 node_type=claim\nt=0007 CREATE_NODE id=n_0ddfd2b70623 node_type=claim\nt=0008 CREATE_NODE id=n_93eaadfb64ea node_type=claim\nt=0009 CREATE_NODE id=n_5a7013e99f6d node_type=claim\nt=0010 CREATE_NODE id=n_9e1c9718ee06 node_type=claim\nt=0011 CREATE_NODE id=n_55d1ae3bb848 node_type=claim\nt=0012 CREATE_NODE id=n_b95a09e3b1d3 node_type=claim\nt=0013 CREATE_NODE id=n_45a797c70203 node_type=claim\nt=0014 CREATE_NODE id=n_b2dfdffb06e2 node_type=claim\nt=0015 CREATE_NODE id=n_8a88a9566dd7 node_type=claim\nt=0016 CREATE_NODE id=n_d72b7af307de node_type=claim\nt=0017 CREATE_NODE id=n_934d4dbdc46e node_type=claim\nt=0018 CREATE_NODE id=n_6acce285b38e node_type=claim\nt=0019 CREATE_NODE id=n_0a7cd85e164b node_type=claim\nt=0020 CREATE_NODE id=n_2a8e12b20fa9 node_type=claim\nt=0021 CREATE_NODE id=n_a4b9f24ccebb node_type=claim\nt=0022 CREATE_NODE id=n_d4ea9090460b node_type=claim\nt=0023 CREATE_NODE id=n_13c75597a644 node_type=claim\nt=0024 CREATE_NODE id=n_3487af67715e node_type=claim\nt=0025 CREATE_NODE id=n_d092080ac0f0 node_type=claim\nt=0026 CREATE_NODE id=n_efa28caa9351 node_type=claim\nt=0027 CREATE_NODE id=n_f5f3c7bb2aab node_type=claim\nt=0028 ASSERT_ROOT node=n_b2dfdffb06e2 value=TRUE\nt=0029 ADD_EDGE edge_id=e_c12c0aa4cde8 source=n_2a8e12b20fa9 edge_type=refutes target=n_5a7013e99f6d\nt=0030 ADD_EDGE edge_id=e_4b21129a9e08 source=n_0ddfd2b70623 edge_type=supports target=n_a4b9f24ccebb\nt=0031 ADD_EDGE edge_id=e_adb1e990a1f5 source=n_f45b731ba3db edge_type=refutes target=n_45a797c70203\nt=0032 ADD_EDGE edge_id=e_b5e00f15e30d source=n_d092080ac0f0 edge_type=supports target=n_2677ef90c192\nt=0033 ADD_EDGE edge_id=e_49697d3a29bb source=n_034a7157a2dd edge_type=supports target=n_55d1ae3bb848\nt=0034 ADD_EDGE edge_id=e_9a6c1579609d source=n_b95a09e3b1d3 edge_type=supports target=n_934d4dbdc46e\nt=0035 ADD_EDGE edge_id=e_f7de49f2f803 source=n_b2dfdffb06e2 edge_type=refutes target=n_9e1c9718ee06\nt=0036 ADD_EDGE edge_id=e_ebbeb6642e34 source=n_0ddfd2b70623 edge_type=supports target=n_8a88a9566dd7\nt=0037 ADD_EDGE edge_id=e_ff33bdce0ea2 source=n_97afee3cee14 edge_type=supports target=n_6acce285b38e\nt=0038 ADD_EDGE edge_id=e_e112e63abffe source=n_3487af67715e edge_type=refutes target=n_2a8e12b20fa9\nt=0039 ADD_EDGE edge_id=e_83eade4c9078 source=n_b2dfdffb06e2 edge_type=supports target=n_97afee3cee14\nt=0040 ADD_EDGE edge_id=e_f8f2fd0a08b7 source=n_d092080ac0f0 edge_type=refutes target=n_3487af67715e\nt=0041 ADD_EDGE edge_id=e_b12cdcbffe39 source=n_8d99eb29a0c6 edge_type=supports target=n_f5f3c7bb2aab\nt=0042 ADD_EDGE edge_id=e_b10f6e02df73 source=n_d4ea9090460b edge_type=supports target=n_d72b7af307de\nt=0043 ADD_EDGE edge_id=e_6a2c4a7dcb86 source=n_5a7013e99f6d edge_type=supports target=n_b95a09e3b1d3\nt=0044 ADD_EDGE edge_id=e_91c64c9e086b source=n_f45b731ba3db edge_type=refutes target=n_0a7cd85e164b\nt=0045 ADD_EDGE edge_id=e_4c3cedd8cac7 source=n_d72b7af307de edge_type=refutes target=n_efa28caa9351\nt=0046 ADD_EDGE edge_id=e_fc8745993e9d source=n_d72b7af307de edge_type=refutes target=n_0c7ce5c2e067\nt=0047 ADD_EDGE edge_id=e_40139f6bcae8 source=n_6acce285b38e edge_type=supports target=n_034a7157a2dd\nt=0048 ADD_EDGE edge_id=e_3dd3204abfbf source=n_d4ea9090460b edge_type=refutes target=n_f45b731ba3db\nt=0049 ADD_EDGE edge_id=e_9c320d69be68 source=n_b95a09e3b1d3 edge_type=refutes target=n_3be6314c65c7\nt=0050 ADD_EDGE edge_id=e_62ebf593ae2d source=n_f45b731ba3db edge_type=refutes target=n_8d99eb29a0c6\nt=0051 ADD_EDGE edge_id=e_782a9f1e8cee source=n_d72b7af307de edge_type=refutes target=n_0ddfd2b70623\nt=0052 ADD_EDGE edge_id=e_047d1431bee3 source=n_034a7157a2dd edge_type=refutes target=n_d092080ac0f0\nt=0053 ADD_EDGE edge_id=e_e0a94a5b5f89 source=n_8d99eb29a0c6 edge_type=supports target=n_13c75597a644\nt=0054 ADD_EDGE edge_id=e_b2cffaf2baf0 source=n_efa28caa9351 edge_type=supports target=n_93eaadfb64ea\nt=0055 QUERY source=n_b2dfdffb06e2 target=n_3be6314c65c7\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2598,"provenance":{"base_record_id":"train-d09-041","dataset":"livegraph-deterministic-parity-v3","depth":9,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d09-041","split":"train","variant":"clean"},"record_seed":13108044505205113,"render_sha256":"f37bc8b52f6c619b3b36c40da201ee5de9e0164355bb257c9aa7590e6da536f1","representation":"linear_trace","semantic_sha256":"6da1da097f830f2ac14e1a3c0b954b0ddad0a5f8a72d47d5b8f76701ed70aef8"}
{"char_count":4776,"item_id":"train-d09-042::linear_trace","label":"TRUE","lexical_token_proxy_count":816,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_b9ecf7709c46 node_type=claim\nt=0001 CREATE_NODE id=n_1fa46192e85f node_type=claim\nt=0002 CREATE_NODE id=n_08934cc2e03f node_type=claim\nt=0003 CREATE_NODE id=n_ee2bdd463a49 node_type=claim\nt=0004 CREATE_NODE id=n_55e672a13cad node_type=claim\nt=0005 CREATE_NODE id=n_957d6251ec7e node_type=claim\nt=0006 CREATE_NODE id=n_f5e04587c4d4 node_type=claim\nt=0007 CREATE_NODE id=n_776fcf10cba5 node_type=claim\nt=0008 CREATE_NODE id=n_cda56cbcbf76 node_type=claim\nt=0009 CREATE_NODE id=n_def0f9f26373 node_type=claim\nt=0010 CREATE_NODE id=n_16ad1a009681 node_type=claim\nt=0011 CREATE_NODE id=n_585b72125de6 node_type=claim\nt=0012 CREATE_NODE id=n_29986e620554 node_type=claim\nt=0013 CREATE_NODE id=n_5889869d7fa9 node_type=claim\nt=0014 CREATE_NODE id=n_9466a2f1f20d node_type=claim\nt=0015 CREATE_NODE id=n_fc80da9a8969 node_type=claim\nt=0016 CREATE_NODE id=n_a9759d9c0ccd node_type=claim\nt=0017 CREATE_NODE id=n_db9a9bf7e9a5 node_type=claim\nt=0018 CREATE_NODE id=n_4a1b49a102ce node_type=claim\nt=0019 CREATE_NODE id=n_0a19422d4ca8 node_type=claim\nt=0020 CREATE_NODE id=n_1be6f5a72a53 node_type=claim\nt=0021 CREATE_NODE id=n_b2604acd3b5e node_type=claim\nt=0022 CREATE_NODE id=n_d55c13408d30 node_type=claim\nt=0023 CREATE_NODE id=n_aa01498d767d node_type=claim\nt=0024 CREATE_NODE id=n_f132eeab66c9 node_type=claim\nt=0025 CREATE_NODE id=n_fa323a37adbc node_type=claim\nt=0026 CREATE_NODE id=n_e37ff76e3247 node_type=claim\nt=0027 CREATE_NODE id=n_8bd1ed58b921 node_type=claim\nt=0028 ASSERT_ROOT node=n_0a19422d4ca8 value=FALSE\nt=0029 ADD_EDGE edge_id=e_fe2c11640982 source=n_b2604acd3b5e edge_type=supports target=n_a9759d9c0ccd\nt=0030 ADD_EDGE edge_id=e_1a5969873935 source=n_fa323a37adbc edge_type=supports target=n_cda56cbcbf76\nt=0031 ADD_EDGE edge_id=e_1d5f926269e9 source=n_0a19422d4ca8 edge_type=supports target=n_29986e620554\nt=0032 ADD_EDGE edge_id=e_13296ae38140 source=n_776fcf10cba5 edge_type=refutes target=n_9466a2f1f20d\nt=0033 ADD_EDGE edge_id=e_65c15673d95f source=n_55e672a13cad edge_type=supports target=n_fc80da9a8969\nt=0034 ADD_EDGE edge_id=e_3a436c3e72c7 source=n_d55c13408d30 edge_type=supports target=n_def0f9f26373\nt=0035 ADD_EDGE edge_id=e_411d98929c29 source=n_aa01498d767d edge_type=refutes target=n_f132eeab66c9\nt=0036 ADD_EDGE edge_id=e_02c3471506cc source=n_d55c13408d30 edge_type=supports target=n_16ad1a009681\nt=0037 ADD_EDGE edge_id=e_f7fb9b9fc5d4 source=n_aa01498d767d edge_type=refutes target=n_ee2bdd463a49\nt=0038 ADD_EDGE edge_id=e_2676328ee6df source=n_d55c13408d30 edge_type=supports target=n_fa323a37adbc\nt=0039 ADD_EDGE edge_id=e_f0631642e1d3 source=n_29986e620554 edge_type=refutes target=n_08934cc2e03f\nt=0040 ADD_EDGE edge_id=e_02961dc4b74e source=n_1fa46192e85f edge_type=refutes target=n_db9a9bf7e9a5\nt=0041 ADD_EDGE edge_id=e_b01eb5fbf70e source=n_b9ecf7709c46 edge_type=supports target=n_585b72125de6\nt=0042 ADD_EDGE edge_id=e_4f49beadcfd4 source=n_1fa46192e85f edge_type=refutes target=n_1be6f5a72a53\nt=0043 ADD_EDGE edge_id=e_d6149c3d7e02 source=n_29986e620554 edge_type=supports target=n_776fcf10cba5\nt=0044 ADD_EDGE edge_id=e_36a79d78a92b source=n_fa323a37adbc edge_type=supports target=n_f5e04587c4d4\nt=0045 ADD_EDGE edge_id=e_caa1f4e7bc06 source=n_5889869d7fa9 edge_type=refutes target=n_8bd1ed58b921\nt=0046 ADD_EDGE edge_id=e_ac68a5e3efad source=n_8bd1ed58b921 edge_type=supports target=n_aa01498d767d\nt=0047 ADD_EDGE edge_id=e_20436fd466ef source=n_776fcf10cba5 edge_type=refutes target=n_5889869d7fa9\nt=0048 ADD_EDGE edge_id=e_0fd566dbffe6 source=n_fa323a37adbc edge_type=refutes target=n_e37ff76e3247\nt=0049 ADD_EDGE edge_id=e_0278228cb29f source=n_4a1b49a102ce edge_type=supports target=n_957d6251ec7e\nt=0050 ADD_EDGE edge_id=e_1d6a2f0437d2 source=n_16ad1a009681 edge_type=refutes target=n_55e672a13cad\nt=0051 ADD_EDGE edge_id=e_1ba3f0590919 source=n_f132eeab66c9 edge_type=refutes target=n_4a1b49a102ce\nt=0052 ADD_EDGE edge_id=e_de7e1272c64d source=n_e37ff76e3247 edge_type=supports target=n_b9ecf7709c46\nt=0053 ADD_EDGE edge_id=e_d7629d70abce source=n_d55c13408d30 edge_type=refutes target=n_1fa46192e85f\nt=0054 ADD_EDGE edge_id=e_cf5b19c257b6 source=n_4a1b49a102ce edge_type=refutes target=n_b2604acd3b5e\nt=0055 QUERY source=n_0a19422d4ca8 target=n_a9759d9c0ccd\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2625,"provenance":{"base_record_id":"train-d09-042","dataset":"livegraph-deterministic-parity-v3","depth":9,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d09-042","split":"train","variant":"clean"},"record_seed":791621815448332999,"render_sha256":"515f6e745b8040a7958ceb36555b4c89389c0770cdb64db6063812b6ec517019","representation":"linear_trace","semantic_sha256":"8aaed4cf243d3e9b1a4ff644f7c888801cfe1f69c5930e0fa7fc5951bc8b5c3b"}
{"char_count":4776,"item_id":"train-d09-043::linear_trace","label":"FALSE","lexical_token_proxy_count":816,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_eae36051f358 node_type=claim\nt=0001 CREATE_NODE id=n_da5953ec1c0a node_type=claim\nt=0002 CREATE_NODE id=n_3f227ec03399 node_type=claim\nt=0003 CREATE_NODE id=n_f26f7c9b0016 node_type=claim\nt=0004 CREATE_NODE id=n_c7780da43042 node_type=claim\nt=0005 CREATE_NODE id=n_eef81dc03dc2 node_type=claim\nt=0006 CREATE_NODE id=n_fda4960e484f node_type=claim\nt=0007 CREATE_NODE id=n_16e7d52e07e9 node_type=claim\nt=0008 CREATE_NODE id=n_beaa6ec4377a node_type=claim\nt=0009 CREATE_NODE id=n_0a73b1b8545c node_type=claim\nt=0010 CREATE_NODE id=n_c4bb680394ac node_type=claim\nt=0011 CREATE_NODE id=n_d48c56901d51 node_type=claim\nt=0012 CREATE_NODE id=n_efc03669a067 node_type=claim\nt=0013 CREATE_NODE id=n_fbe9c64a956d node_type=claim\nt=0014 CREATE_NODE id=n_87d5b2cac042 node_type=claim\nt=0015 CREATE_NODE id=n_efd88e46ce60 node_type=claim\nt=0016 CREATE_NODE id=n_394677992a73 node_type=claim\nt=0017 CREATE_NODE id=n_d2d25ac1350a node_type=claim\nt=0018 CREATE_NODE id=n_4d909aa489b6 node_type=claim\nt=0019 CREATE_NODE id=n_d755ab2f8ba4 node_type=claim\nt=0020 CREATE_NODE id=n_ecfe73481e84 node_type=claim\nt=0021 CREATE_NODE id=n_6e19155faeff node_type=claim\nt=0022 CREATE_NODE id=n_b507f865de55 node_type=claim\nt=0023 CREATE_NODE id=n_d8a5fa280d22 node_type=claim\nt=0024 CREATE_NODE id=n_aa6c25dee22f node_type=claim\nt=0025 CREATE_NODE id=n_edfbeeddafcf node_type=claim\nt=0026 CREATE_NODE id=n_305dbc4bf267 node_type=claim\nt=0027 CREATE_NODE id=n_af8ebcf307ff node_type=claim\nt=0028 ASSERT_ROOT node=n_edfbeeddafcf value=FALSE\nt=0029 ADD_EDGE edge_id=e_db81f480602f source=n_ecfe73481e84 edge_type=supports target=n_aa6c25dee22f\nt=0030 ADD_EDGE edge_id=e_11b240fcc9ae source=n_efc03669a067 edge_type=refutes target=n_efd88e46ce60\nt=0031 ADD_EDGE edge_id=e_3fb63eb3290c source=n_0a73b1b8545c edge_type=supports target=n_305dbc4bf267\nt=0032 ADD_EDGE edge_id=e_29b1e0cf374f source=n_eef81dc03dc2 edge_type=supports target=n_b507f865de55\nt=0033 ADD_EDGE edge_id=e_aac9e4081cda source=n_394677992a73 edge_type=supports target=n_6e19155faeff\nt=0034 ADD_EDGE edge_id=e_8382f5c5b3fd source=n_b507f865de55 edge_type=supports target=n_d755ab2f8ba4\nt=0035 ADD_EDGE edge_id=e_d9cf52d7d1b7 source=n_af8ebcf307ff edge_type=supports target=n_d8a5fa280d22\nt=0036 ADD_EDGE edge_id=e_27bde1d5b495 source=n_394677992a73 edge_type=supports target=n_c4bb680394ac\nt=0037 ADD_EDGE edge_id=e_cfee801d0cd3 source=n_d48c56901d51 edge_type=refutes target=n_eef81dc03dc2\nt=0038 ADD_EDGE edge_id=e_10f205e000d1 source=n_0a73b1b8545c edge_type=supports target=n_efc03669a067\nt=0039 ADD_EDGE edge_id=e_f9978b0699f1 source=n_efc03669a067 edge_type=supports target=n_af8ebcf307ff\nt=0040 ADD_EDGE edge_id=e_80858b8a34f7 source=n_edfbeeddafcf edge_type=refutes target=n_d2d25ac1350a\nt=0041 ADD_EDGE edge_id=e_be950d268663 source=n_394677992a73 edge_type=refutes target=n_c7780da43042\nt=0042 ADD_EDGE edge_id=e_5479e0164195 source=n_0a73b1b8545c edge_type=refutes target=n_3f227ec03399\nt=0043 ADD_EDGE edge_id=e_1f39bfa8073e source=n_fbe9c64a956d edge_type=supports target=n_da5953ec1c0a\nt=0044 ADD_EDGE edge_id=e_9835ed6d7534 source=n_305dbc4bf267 edge_type=refutes target=n_eae36051f358\nt=0045 ADD_EDGE edge_id=e_c657b7beb721 source=n_87d5b2cac042 edge_type=refutes target=n_16e7d52e07e9\nt=0046 ADD_EDGE edge_id=e_5467b66d1ad3 source=n_f26f7c9b0016 edge_type=refutes target=n_beaa6ec4377a\nt=0047 ADD_EDGE edge_id=e_e44d4ce9499f source=n_f26f7c9b0016 edge_type=refutes target=n_ecfe73481e84\nt=0048 ADD_EDGE edge_id=e_77ddc7c1541b source=n_fbe9c64a956d edge_type=supports target=n_fda4960e484f\nt=0049 ADD_EDGE edge_id=e_a519bdf8ffba source=n_4d909aa489b6 edge_type=refutes target=n_d48c56901d51\nt=0050 ADD_EDGE edge_id=e_c9d13440a4b2 source=n_d2d25ac1350a edge_type=refutes target=n_4d909aa489b6\nt=0051 ADD_EDGE edge_id=e_82e46e8f731a source=n_b507f865de55 edge_type=supports target=n_fbe9c64a956d\nt=0052 ADD_EDGE edge_id=e_8a5e0f5f245f source=n_0a73b1b8545c edge_type=supports target=n_87d5b2cac042\nt=0053 ADD_EDGE edge_id=e_8b1bddc226ec source=n_fbe9c64a956d edge_type=refutes target=n_f26f7c9b0016\nt=0054 ADD_EDGE edge_id=e_2bd3dded1549 source=n_efc03669a067 edge_type=refutes target=n_394677992a73\nt=0055 QUERY source=n_edfbeeddafcf target=n_aa6c25dee22f\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2598,"provenance":{"base_record_id":"train-d09-043","dataset":"livegraph-deterministic-parity-v3","depth":9,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d09-043","split":"train","variant":"clean"},"record_seed":643009372859720551,"render_sha256":"2a979fe2525666847aff339c0d785cacb2ff317f9b1f9696bff9ee9e492d6e2d","representation":"linear_trace","semantic_sha256":"50542c19e0c0e561ef57d89924f0543d4a3e73fec64f3d3b89cfd98b2558108e"}
{"char_count":4775,"item_id":"train-d09-044::linear_trace","label":"TRUE","lexical_token_proxy_count":816,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_e58402a3cc27 node_type=claim\nt=0001 CREATE_NODE id=n_e608a3f590b6 node_type=claim\nt=0002 CREATE_NODE id=n_b8b8bf6653c2 node_type=claim\nt=0003 CREATE_NODE id=n_4bac6088228c node_type=claim\nt=0004 CREATE_NODE id=n_63d6bce48248 node_type=claim\nt=0005 CREATE_NODE id=n_cfa30bb4acd3 node_type=claim\nt=0006 CREATE_NODE id=n_aa68e127a67c node_type=claim\nt=0007 CREATE_NODE id=n_59c0a701a947 node_type=claim\nt=0008 CREATE_NODE id=n_f2995981afa6 node_type=claim\nt=0009 CREATE_NODE id=n_d0fa8d12eec9 node_type=claim\nt=0010 CREATE_NODE id=n_97c3d6f24df2 node_type=claim\nt=0011 CREATE_NODE id=n_1ae484c9e25e node_type=claim\nt=0012 CREATE_NODE id=n_bc0e40914eeb node_type=claim\nt=0013 CREATE_NODE id=n_f536496dab56 node_type=claim\nt=0014 CREATE_NODE id=n_ead7d51e6eae node_type=claim\nt=0015 CREATE_NODE id=n_0959d3b2c166 node_type=claim\nt=0016 CREATE_NODE id=n_7ba13aec5cd4 node_type=claim\nt=0017 CREATE_NODE id=n_1b72a9610852 node_type=claim\nt=0018 CREATE_NODE id=n_9224a6d7a5dd node_type=claim\nt=0019 CREATE_NODE id=n_f3f2dcbb9979 node_type=claim\nt=0020 CREATE_NODE id=n_5a5ed680a106 node_type=claim\nt=0021 CREATE_NODE id=n_1796b5027de8 node_type=claim\nt=0022 CREATE_NODE id=n_96db35231bd1 node_type=claim\nt=0023 CREATE_NODE id=n_95db0ff8151a node_type=claim\nt=0024 CREATE_NODE id=n_b5523a5cd7b2 node_type=claim\nt=0025 CREATE_NODE id=n_7e5c8479137f node_type=claim\nt=0026 CREATE_NODE id=n_03e489d42358 node_type=claim\nt=0027 CREATE_NODE id=n_027b55f6bd84 node_type=claim\nt=0028 ASSERT_ROOT node=n_1ae484c9e25e value=TRUE\nt=0029 ADD_EDGE edge_id=e_f8d313790acf source=n_95db0ff8151a edge_type=supports target=n_f3f2dcbb9979\nt=0030 ADD_EDGE edge_id=e_d0c2b41ad375 source=n_f2995981afa6 edge_type=supports target=n_cfa30bb4acd3\nt=0031 ADD_EDGE edge_id=e_266d08aa0c42 source=n_1796b5027de8 edge_type=supports target=n_9224a6d7a5dd\nt=0032 ADD_EDGE edge_id=e_6b2171f82e3a source=n_9224a6d7a5dd edge_type=refutes target=n_97c3d6f24df2\nt=0033 ADD_EDGE edge_id=e_61c675b3875e source=n_1ae484c9e25e edge_type=refutes target=n_b5523a5cd7b2\nt=0034 ADD_EDGE edge_id=e_2e68fb607849 source=n_aa68e127a67c edge_type=supports target=n_e608a3f590b6\nt=0035 ADD_EDGE edge_id=e_fd10294d497c source=n_1b72a9610852 edge_type=supports target=n_7e5c8479137f\nt=0036 ADD_EDGE edge_id=e_51ad0fbd7c41 source=n_b5523a5cd7b2 edge_type=supports target=n_4bac6088228c\nt=0037 ADD_EDGE edge_id=e_3354872a79e7 source=n_95db0ff8151a edge_type=refutes target=n_f536496dab56\nt=0038 ADD_EDGE edge_id=e_ab3a1e9e528d source=n_1b72a9610852 edge_type=refutes target=n_aa68e127a67c\nt=0039 ADD_EDGE edge_id=e_52f6c67a3e6f source=n_bc0e40914eeb edge_type=refutes target=n_d0fa8d12eec9\nt=0040 ADD_EDGE edge_id=e_aaf3a55d061f source=n_aa68e127a67c edge_type=refutes target=n_027b55f6bd84\nt=0041 ADD_EDGE edge_id=e_8338e2f0a81a source=n_b8b8bf6653c2 edge_type=supports target=n_96db35231bd1\nt=0042 ADD_EDGE edge_id=e_2514d22f9451 source=n_97c3d6f24df2 edge_type=refutes target=n_7ba13aec5cd4\nt=0043 ADD_EDGE edge_id=e_77ab892a2719 source=n_1796b5027de8 edge_type=supports target=n_5a5ed680a106\nt=0044 ADD_EDGE edge_id=e_1130a3e10054 source=n_63d6bce48248 edge_type=refutes target=n_0959d3b2c166\nt=0045 ADD_EDGE edge_id=e_2fae94f2d61b source=n_7ba13aec5cd4 edge_type=supports target=n_95db0ff8151a\nt=0046 ADD_EDGE edge_id=e_014064dc6d64 source=n_63d6bce48248 edge_type=refutes target=n_b8b8bf6653c2\nt=0047 ADD_EDGE edge_id=e_1356e055b95b source=n_7ba13aec5cd4 edge_type=supports target=n_ead7d51e6eae\nt=0048 ADD_EDGE edge_id=e_8beaca0b2e10 source=n_e58402a3cc27 edge_type=supports target=n_03e489d42358\nt=0049 ADD_EDGE edge_id=e_63497ae64b49 source=n_f536496dab56 edge_type=supports target=n_bc0e40914eeb\nt=0050 ADD_EDGE edge_id=e_6f8b43f56c41 source=n_03e489d42358 edge_type=refutes target=n_59c0a701a947\nt=0051 ADD_EDGE edge_id=e_7729844e9335 source=n_1b72a9610852 edge_type=refutes target=n_f2995981afa6\nt=0052 ADD_EDGE edge_id=e_b48cb5ab6308 source=n_4bac6088228c edge_type=supports target=n_1796b5027de8\nt=0053 ADD_EDGE edge_id=e_55b75aad11ef source=n_027b55f6bd84 edge_type=refutes target=n_63d6bce48248\nt=0054 ADD_EDGE edge_id=e_cf214a8e662e source=n_f2995981afa6 edge_type=refutes target=n_e58402a3cc27\nt=0055 QUERY source=n_1ae484c9e25e target=n_bc0e40914eeb\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2631,"provenance":{"base_record_id":"train-d09-044","dataset":"livegraph-deterministic-parity-v3","depth":9,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d09-044","split":"train","variant":"clean"},"record_seed":738311333042143747,"render_sha256":"043777af2aca4677b16825cf9b37223a557d7d8e71ae2658f09ec485534b7e46","representation":"linear_trace","semantic_sha256":"45e5eb4c6891060155f27cdb96bd645cfa1e15291f2219e64ceba9f62542eb16"}
{"char_count":4775,"item_id":"train-d09-045::linear_trace","label":"FALSE","lexical_token_proxy_count":816,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_ef846c3c339e node_type=claim\nt=0001 CREATE_NODE id=n_8a6075291daa node_type=claim\nt=0002 CREATE_NODE id=n_84e11acf36b4 node_type=claim\nt=0003 CREATE_NODE id=n_482615c07800 node_type=claim\nt=0004 CREATE_NODE id=n_ec9925d85556 node_type=claim\nt=0005 CREATE_NODE id=n_49cb1fc5bc56 node_type=claim\nt=0006 CREATE_NODE id=n_fbfbec6d4534 node_type=claim\nt=0007 CREATE_NODE id=n_f1f80637f810 node_type=claim\nt=0008 CREATE_NODE id=n_5b4c24e8f361 node_type=claim\nt=0009 CREATE_NODE id=n_5e15fcff72cb node_type=claim\nt=0010 CREATE_NODE id=n_6e886d3cac01 node_type=claim\nt=0011 CREATE_NODE id=n_b13c622080f5 node_type=claim\nt=0012 CREATE_NODE id=n_3a74a1e5f99a node_type=claim\nt=0013 CREATE_NODE id=n_77ede836a51e node_type=claim\nt=0014 CREATE_NODE id=n_7b130c06fe7e node_type=claim\nt=0015 CREATE_NODE id=n_7e48774c36ff node_type=claim\nt=0016 CREATE_NODE id=n_52fc8b4ae505 node_type=claim\nt=0017 CREATE_NODE id=n_d13af4e84578 node_type=claim\nt=0018 CREATE_NODE id=n_6dbac426b6b2 node_type=claim\nt=0019 CREATE_NODE id=n_c07dc8fc001d node_type=claim\nt=0020 CREATE_NODE id=n_5fe3c22c60f6 node_type=claim\nt=0021 CREATE_NODE id=n_9274a9e2bc21 node_type=claim\nt=0022 CREATE_NODE id=n_648d6ec0558e node_type=claim\nt=0023 CREATE_NODE id=n_7841c485b648 node_type=claim\nt=0024 CREATE_NODE id=n_b1350ff039f3 node_type=claim\nt=0025 CREATE_NODE id=n_cade5a664c08 node_type=claim\nt=0026 CREATE_NODE id=n_417912111316 node_type=claim\nt=0027 CREATE_NODE id=n_86381f606f91 node_type=claim\nt=0028 ASSERT_ROOT node=n_49cb1fc5bc56 value=TRUE\nt=0029 ADD_EDGE edge_id=e_04732d7ed74e source=n_86381f606f91 edge_type=refutes target=n_417912111316\nt=0030 ADD_EDGE edge_id=e_8fd8934a05c3 source=n_84e11acf36b4 edge_type=refutes target=n_fbfbec6d4534\nt=0031 ADD_EDGE edge_id=e_5593362bb357 source=n_ec9925d85556 edge_type=refutes target=n_482615c07800\nt=0032 ADD_EDGE edge_id=e_3e5d47f92e68 source=n_b1350ff039f3 edge_type=supports target=n_52fc8b4ae505\nt=0033 ADD_EDGE edge_id=e_448f3dcc034e source=n_7e48774c36ff edge_type=refutes target=n_3a74a1e5f99a\nt=0034 ADD_EDGE edge_id=e_c4b4b6c15814 source=n_417912111316 edge_type=supports target=n_84e11acf36b4\nt=0035 ADD_EDGE edge_id=e_4f59188ddc0d source=n_6e886d3cac01 edge_type=supports target=n_cade5a664c08\nt=0036 ADD_EDGE edge_id=e_ed06a8072013 source=n_f1f80637f810 edge_type=supports target=n_8a6075291daa\nt=0037 ADD_EDGE edge_id=e_0c2a97c3f4ef source=n_417912111316 edge_type=refutes target=n_6e886d3cac01\nt=0038 ADD_EDGE edge_id=e_5097d7a6daab source=n_9274a9e2bc21 edge_type=supports target=n_7841c485b648\nt=0039 ADD_EDGE edge_id=e_dc04f77119ec source=n_417912111316 edge_type=refutes target=n_9274a9e2bc21\nt=0040 ADD_EDGE edge_id=e_56c79ebcd19a source=n_86381f606f91 edge_type=refutes target=n_b13c622080f5\nt=0041 ADD_EDGE edge_id=e_9e7265e5f112 source=n_417912111316 edge_type=refutes target=n_f1f80637f810\nt=0042 ADD_EDGE edge_id=e_cc9d212b37fa source=n_77ede836a51e edge_type=supports target=n_5e15fcff72cb\nt=0043 ADD_EDGE edge_id=e_a0a9f0a0bacb source=n_482615c07800 edge_type=supports target=n_5b4c24e8f361\nt=0044 ADD_EDGE edge_id=e_89298a82efea source=n_5e15fcff72cb edge_type=refutes target=n_d13af4e84578\nt=0045 ADD_EDGE edge_id=e_34e3c5ca027e source=n_86381f606f91 edge_type=refutes target=n_648d6ec0558e\nt=0046 ADD_EDGE edge_id=e_27db82b012ce source=n_49cb1fc5bc56 edge_type=supports target=n_5fe3c22c60f6\nt=0047 ADD_EDGE edge_id=e_dbb0dbeab69a source=n_84e11acf36b4 edge_type=supports target=n_c07dc8fc001d\nt=0048 ADD_EDGE edge_id=e_a5f868489e57 source=n_3a74a1e5f99a edge_type=refutes target=n_ec9925d85556\nt=0049 ADD_EDGE edge_id=e_adb1b08bf21c source=n_5e15fcff72cb edge_type=supports target=n_b1350ff039f3\nt=0050 ADD_EDGE edge_id=e_71e5a33914a8 source=n_b1350ff039f3 edge_type=supports target=n_7e48774c36ff\nt=0051 ADD_EDGE edge_id=e_9080edd5bdfb source=n_49cb1fc5bc56 edge_type=refutes target=n_ef846c3c339e\nt=0052 ADD_EDGE edge_id=e_cdac717e3853 source=n_7e48774c36ff edge_type=supports target=n_7b130c06fe7e\nt=0053 ADD_EDGE edge_id=e_b55e4d3c4a9f source=n_b13c622080f5 edge_type=refutes target=n_6dbac426b6b2\nt=0054 ADD_EDGE edge_id=e_91face4f8294 source=n_5fe3c22c60f6 edge_type=supports target=n_77ede836a51e\nt=0055 QUERY source=n_49cb1fc5bc56 target=n_5b4c24e8f361\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2635,"provenance":{"base_record_id":"train-d09-045","dataset":"livegraph-deterministic-parity-v3","depth":9,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d09-045","split":"train","variant":"clean"},"record_seed":101954966175469173,"render_sha256":"d01a875dcabccb54bef33036475586017a1e3a4b6df014ca8729c1482b28b8df","representation":"linear_trace","semantic_sha256":"b915a6aea16c964770bc384db85b25a3f279a8b8fdbc60e776a291bd6ee62ae5"}
{"char_count":4776,"item_id":"train-d09-046::linear_trace","label":"TRUE","lexical_token_proxy_count":816,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_cd3c0ecded3e node_type=claim\nt=0001 CREATE_NODE id=n_19b0c299a9a5 node_type=claim\nt=0002 CREATE_NODE id=n_708236ab9d4f node_type=claim\nt=0003 CREATE_NODE id=n_0d9e85f5f926 node_type=claim\nt=0004 CREATE_NODE id=n_105971060490 node_type=claim\nt=0005 CREATE_NODE id=n_0743145fd7fd node_type=claim\nt=0006 CREATE_NODE id=n_fcb4c9fc51ab node_type=claim\nt=0007 CREATE_NODE id=n_1cc79f09d1e0 node_type=claim\nt=0008 CREATE_NODE id=n_7548255ab57a node_type=claim\nt=0009 CREATE_NODE id=n_f385512c1dab node_type=claim\nt=0010 CREATE_NODE id=n_f583dcb98ea3 node_type=claim\nt=0011 CREATE_NODE id=n_62c190aa1bb9 node_type=claim\nt=0012 CREATE_NODE id=n_430d413c9ca1 node_type=claim\nt=0013 CREATE_NODE id=n_d1d37c522fba node_type=claim\nt=0014 CREATE_NODE id=n_c7f879e2d755 node_type=claim\nt=0015 CREATE_NODE id=n_5473dfaa9ead node_type=claim\nt=0016 CREATE_NODE id=n_e89adbdc5a1f node_type=claim\nt=0017 CREATE_NODE id=n_80158539b880 node_type=claim\nt=0018 CREATE_NODE id=n_de81369b1cae node_type=claim\nt=0019 CREATE_NODE id=n_697a53bc8f24 node_type=claim\nt=0020 CREATE_NODE id=n_c2dabc1f6839 node_type=claim\nt=0021 CREATE_NODE id=n_bcb9d6ee93c3 node_type=claim\nt=0022 CREATE_NODE id=n_b86740be09b0 node_type=claim\nt=0023 CREATE_NODE id=n_490514c5a5a6 node_type=claim\nt=0024 CREATE_NODE id=n_e9b01dac104c node_type=claim\nt=0025 CREATE_NODE id=n_2f7475f40982 node_type=claim\nt=0026 CREATE_NODE id=n_509aa8961737 node_type=claim\nt=0027 CREATE_NODE id=n_df301bde4d9a node_type=claim\nt=0028 ASSERT_ROOT node=n_697a53bc8f24 value=FALSE\nt=0029 ADD_EDGE edge_id=e_8246defe8e12 source=n_62c190aa1bb9 edge_type=supports target=n_708236ab9d4f\nt=0030 ADD_EDGE edge_id=e_3f73a3112ee0 source=n_697a53bc8f24 edge_type=refutes target=n_105971060490\nt=0031 ADD_EDGE edge_id=e_867c1473b90b source=n_62c190aa1bb9 edge_type=refutes target=n_0743145fd7fd\nt=0032 ADD_EDGE edge_id=e_fe29d973df3a source=n_1cc79f09d1e0 edge_type=supports target=n_430d413c9ca1\nt=0033 ADD_EDGE edge_id=e_e76c1e60f2bf source=n_c7f879e2d755 edge_type=supports target=n_490514c5a5a6\nt=0034 ADD_EDGE edge_id=e_87c3089e9958 source=n_b86740be09b0 edge_type=refutes target=n_e9b01dac104c\nt=0035 ADD_EDGE edge_id=e_391e9da49f77 source=n_62c190aa1bb9 edge_type=supports target=n_19b0c299a9a5\nt=0036 ADD_EDGE edge_id=e_8af1972931f6 source=n_fcb4c9fc51ab edge_type=supports target=n_c7f879e2d755\nt=0037 ADD_EDGE edge_id=e_e65490690f10 source=n_19b0c299a9a5 edge_type=refutes target=n_2f7475f40982\nt=0038 ADD_EDGE edge_id=e_6504d31ac359 source=n_e9b01dac104c edge_type=supports target=n_509aa8961737\nt=0039 ADD_EDGE edge_id=e_c6e6f9ec5053 source=n_0743145fd7fd edge_type=supports target=n_f583dcb98ea3\nt=0040 ADD_EDGE edge_id=e_d48649cfe836 source=n_fcb4c9fc51ab edge_type=supports target=n_80158539b880\nt=0041 ADD_EDGE edge_id=e_40fa7d714608 source=n_e9b01dac104c edge_type=refutes target=n_d1d37c522fba\nt=0042 ADD_EDGE edge_id=e_338f92908c93 source=n_19b0c299a9a5 edge_type=refutes target=n_5473dfaa9ead\nt=0043 ADD_EDGE edge_id=e_7e28e4c957c2 source=n_d1d37c522fba edge_type=refutes target=n_bcb9d6ee93c3\nt=0044 ADD_EDGE edge_id=e_606f0305c969 source=n_105971060490 edge_type=refutes target=n_1cc79f09d1e0\nt=0045 ADD_EDGE edge_id=e_42ad365af795 source=n_0743145fd7fd edge_type=refutes target=n_de81369b1cae\nt=0046 ADD_EDGE edge_id=e_bb0d1aac7917 source=n_2f7475f40982 edge_type=refutes target=n_7548255ab57a\nt=0047 ADD_EDGE edge_id=e_6aa9b252c13d source=n_1cc79f09d1e0 edge_type=refutes target=n_b86740be09b0\nt=0048 ADD_EDGE edge_id=e_8106c61d2be3 source=n_c7f879e2d755 edge_type=supports target=n_0d9e85f5f926\nt=0049 ADD_EDGE edge_id=e_fe7c035458d4 source=n_0743145fd7fd edge_type=supports target=n_cd3c0ecded3e\nt=0050 ADD_EDGE edge_id=e_718a9f017b78 source=n_2f7475f40982 edge_type=refutes target=n_df301bde4d9a\nt=0051 ADD_EDGE edge_id=e_657fe77bcb2a source=n_5473dfaa9ead edge_type=supports target=n_c2dabc1f6839\nt=0052 ADD_EDGE edge_id=e_6195b4108a75 source=n_bcb9d6ee93c3 edge_type=refutes target=n_fcb4c9fc51ab\nt=0053 ADD_EDGE edge_id=e_a01ebba4320f source=n_19b0c299a9a5 edge_type=supports target=n_e89adbdc5a1f\nt=0054 ADD_EDGE edge_id=e_117c7d4ef20d source=n_0743145fd7fd edge_type=supports target=n_f385512c1dab\nt=0055 QUERY source=n_697a53bc8f24 target=n_0d9e85f5f926\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2628,"provenance":{"base_record_id":"train-d09-046","dataset":"livegraph-deterministic-parity-v3","depth":9,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d09-046","split":"train","variant":"clean"},"record_seed":146145534167882786,"render_sha256":"7f488e0304b9d6cb4ae10ffa9efbe62ad94cb5c897c9b62c56eacc2b8ef63e12","representation":"linear_trace","semantic_sha256":"811a00706fa13020f2a5c137a6a564fd77d9c82ddc2c8ee5f41126b32e54b947"}
{"char_count":4776,"item_id":"train-d09-047::linear_trace","label":"FALSE","lexical_token_proxy_count":816,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_ebe65e5f0774 node_type=claim\nt=0001 CREATE_NODE id=n_75c0422a845e node_type=claim\nt=0002 CREATE_NODE id=n_859f54615e42 node_type=claim\nt=0003 CREATE_NODE id=n_45a80474d804 node_type=claim\nt=0004 CREATE_NODE id=n_3f97348ab9aa node_type=claim\nt=0005 CREATE_NODE id=n_c2b208fe8f21 node_type=claim\nt=0006 CREATE_NODE id=n_f776fe4c2920 node_type=claim\nt=0007 CREATE_NODE id=n_561f32c72a2d node_type=claim\nt=0008 CREATE_NODE id=n_91c93dc797c7 node_type=claim\nt=0009 CREATE_NODE id=n_9c53cd590f9d node_type=claim\nt=0010 CREATE_NODE id=n_8ebf17b6954e node_type=claim\nt=0011 CREATE_NODE id=n_6e50de036671 node_type=claim\nt=0012 CREATE_NODE id=n_d8057fadf945 node_type=claim\nt=0013 CREATE_NODE id=n_8a1bbed9cce7 node_type=claim\nt=0014 CREATE_NODE id=n_10897745c536 node_type=claim\nt=0015 CREATE_NODE id=n_899a3209638e node_type=claim\nt=0016 CREATE_NODE id=n_bd26473a840f node_type=claim\nt=0017 CREATE_NODE id=n_ed5602c704a1 node_type=claim\nt=0018 CREATE_NODE id=n_fc4e1543bec5 node_type=claim\nt=0019 CREATE_NODE id=n_5d9743287fa6 node_type=claim\nt=0020 CREATE_NODE id=n_26f9199b6ce3 node_type=claim\nt=0021 CREATE_NODE id=n_283c2c575547 node_type=claim\nt=0022 CREATE_NODE id=n_71e65c53be43 node_type=claim\nt=0023 CREATE_NODE id=n_1dd71ba16750 node_type=claim\nt=0024 CREATE_NODE id=n_1b76b9b20955 node_type=claim\nt=0025 CREATE_NODE id=n_0275f6fded94 node_type=claim\nt=0026 CREATE_NODE id=n_5ab5d5c8efe6 node_type=claim\nt=0027 CREATE_NODE id=n_d1d89aeee9a1 node_type=claim\nt=0028 ASSERT_ROOT node=n_1b76b9b20955 value=FALSE\nt=0029 ADD_EDGE edge_id=e_f94130179873 source=n_1dd71ba16750 edge_type=supports target=n_5ab5d5c8efe6\nt=0030 ADD_EDGE edge_id=e_69b445e9e262 source=n_561f32c72a2d edge_type=refutes target=n_899a3209638e\nt=0031 ADD_EDGE edge_id=e_91574b560dc4 source=n_6e50de036671 edge_type=refutes target=n_bd26473a840f\nt=0032 ADD_EDGE edge_id=e_719ab04801a1 source=n_8a1bbed9cce7 edge_type=supports target=n_91c93dc797c7\nt=0033 ADD_EDGE edge_id=e_c31ed8668e1a source=n_10897745c536 edge_type=supports target=n_1dd71ba16750\nt=0034 ADD_EDGE edge_id=e_73a45bee5eb6 source=n_26f9199b6ce3 edge_type=refutes target=n_d8057fadf945\nt=0035 ADD_EDGE edge_id=e_1a88882b9e49 source=n_45a80474d804 edge_type=supports target=n_c2b208fe8f21\nt=0036 ADD_EDGE edge_id=e_d0c351f951ec source=n_26f9199b6ce3 edge_type=refutes target=n_75c0422a845e\nt=0037 ADD_EDGE edge_id=e_3b6ed55bc008 source=n_1b76b9b20955 edge_type=refutes target=n_10897745c536\nt=0038 ADD_EDGE edge_id=e_afebd9836c34 source=n_5ab5d5c8efe6 edge_type=refutes target=n_5d9743287fa6\nt=0039 ADD_EDGE edge_id=e_f3ba1dbe740e source=n_9c53cd590f9d edge_type=refutes target=n_f776fe4c2920\nt=0040 ADD_EDGE edge_id=e_0d018c37b5c9 source=n_8a1bbed9cce7 edge_type=supports target=n_d1d89aeee9a1\nt=0041 ADD_EDGE edge_id=e_01e5d8a5baf7 source=n_859f54615e42 edge_type=supports target=n_26f9199b6ce3\nt=0042 ADD_EDGE edge_id=e_e855232fab0d source=n_c2b208fe8f21 edge_type=refutes target=n_ebe65e5f0774\nt=0043 ADD_EDGE edge_id=e_6e3b6e2f98db source=n_8a1bbed9cce7 edge_type=supports target=n_0275f6fded94\nt=0044 ADD_EDGE edge_id=e_d96f54ff63f7 source=n_d8057fadf945 edge_type=supports target=n_9c53cd590f9d\nt=0045 ADD_EDGE edge_id=e_60772ff9e992 source=n_5ab5d5c8efe6 edge_type=supports target=n_561f32c72a2d\nt=0046 ADD_EDGE edge_id=e_d9a2b7bb9d5a source=n_561f32c72a2d edge_type=refutes target=n_283c2c575547\nt=0047 ADD_EDGE edge_id=e_c2e777e28d01 source=n_6e50de036671 edge_type=refutes target=n_8a1bbed9cce7\nt=0048 ADD_EDGE edge_id=e_1bd788c83f54 source=n_1b76b9b20955 edge_type=supports target=n_fc4e1543bec5\nt=0049 ADD_EDGE edge_id=e_6c928a109c16 source=n_26f9199b6ce3 edge_type=supports target=n_6e50de036671\nt=0050 ADD_EDGE edge_id=e_8ea612408d81 source=n_6e50de036671 edge_type=refutes target=n_8ebf17b6954e\nt=0051 ADD_EDGE edge_id=e_136a83aefebd source=n_1dd71ba16750 edge_type=supports target=n_3f97348ab9aa\nt=0052 ADD_EDGE edge_id=e_261beff1e9d9 source=n_26f9199b6ce3 edge_type=refutes target=n_71e65c53be43\nt=0053 ADD_EDGE edge_id=e_8f1016cffac7 source=n_899a3209638e edge_type=refutes target=n_45a80474d804\nt=0054 ADD_EDGE edge_id=e_affd4049ae8d source=n_ebe65e5f0774 edge_type=supports target=n_ed5602c704a1\nt=0055 QUERY source=n_1b76b9b20955 target=n_ed5602c704a1\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2641,"provenance":{"base_record_id":"train-d09-047","dataset":"livegraph-deterministic-parity-v3","depth":9,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d09-047","split":"train","variant":"clean"},"record_seed":852248228685091755,"render_sha256":"ef9cd9dfa452805e1f046ccb7ffd1841b779b3d0e5f68cd714efd7e590747f27","representation":"linear_trace","semantic_sha256":"70399a5b33611f9c4bf7bf0c2e20c454021bba62a58ec83a4655c37580f8d9fb"}
{"char_count":5084,"item_id":"train-d10-000::linear_trace","label":"TRUE","lexical_token_proxy_count":868,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_d864f4b8555a node_type=claim\nt=0001 CREATE_NODE id=n_51d6b39e13ec node_type=claim\nt=0002 CREATE_NODE id=n_31d4a855d9d8 node_type=claim\nt=0003 CREATE_NODE id=n_c541ae7edd3a node_type=claim\nt=0004 CREATE_NODE id=n_c220f2623445 node_type=claim\nt=0005 CREATE_NODE id=n_b5acd5aca5ef node_type=claim\nt=0006 CREATE_NODE id=n_03e1475d253c node_type=claim\nt=0007 CREATE_NODE id=n_35aac8bc5196 node_type=claim\nt=0008 CREATE_NODE id=n_a7c0a21d5a66 node_type=claim\nt=0009 CREATE_NODE id=n_39a6d2a6466e node_type=claim\nt=0010 CREATE_NODE id=n_2d11c7ce590f node_type=claim\nt=0011 CREATE_NODE id=n_e5c500e81ce1 node_type=claim\nt=0012 CREATE_NODE id=n_02c3169e0fd7 node_type=claim\nt=0013 CREATE_NODE id=n_fb7af5e20a39 node_type=claim\nt=0014 CREATE_NODE id=n_baf4dd5aa8ad node_type=claim\nt=0015 CREATE_NODE id=n_e68a6e64c131 node_type=claim\nt=0016 CREATE_NODE id=n_c53fc56c9974 node_type=claim\nt=0017 CREATE_NODE id=n_5a846727024b node_type=claim\nt=0018 CREATE_NODE id=n_db650bde48ee node_type=claim\nt=0019 CREATE_NODE id=n_4d15fa51d782 node_type=claim\nt=0020 CREATE_NODE id=n_d7d200d95b6d node_type=claim\nt=0021 CREATE_NODE id=n_6f9d46db763e node_type=claim\nt=0022 CREATE_NODE id=n_356e03b1c1c6 node_type=claim\nt=0023 CREATE_NODE id=n_43e83b659239 node_type=claim\nt=0024 CREATE_NODE id=n_1125cd2ca16a node_type=claim\nt=0025 CREATE_NODE id=n_671ea8d6d6b3 node_type=claim\nt=0026 CREATE_NODE id=n_cc51b3f880c9 node_type=claim\nt=0027 CREATE_NODE id=n_0fe7c497ab6f node_type=claim\nt=0028 CREATE_NODE id=n_6d21ba2b3b92 node_type=claim\nt=0029 CREATE_NODE id=n_884d696550af node_type=claim\nt=0030 ASSERT_ROOT node=n_c53fc56c9974 value=TRUE\nt=0031 ADD_EDGE edge_id=e_84c055b5559b source=n_e68a6e64c131 edge_type=refutes target=n_c220f2623445\nt=0032 ADD_EDGE edge_id=e_ba145dcaaca5 source=n_c220f2623445 edge_type=refutes target=n_0fe7c497ab6f\nt=0033 ADD_EDGE edge_id=e_190c7e73b893 source=n_e5c500e81ce1 edge_type=supports target=n_03e1475d253c\nt=0034 ADD_EDGE edge_id=e_f73d8e68cb3c source=n_884d696550af edge_type=refutes target=n_baf4dd5aa8ad\nt=0035 ADD_EDGE edge_id=e_b51abb0c1475 source=n_cc51b3f880c9 edge_type=supports target=n_d864f4b8555a\nt=0036 ADD_EDGE edge_id=e_99903d068659 source=n_d7d200d95b6d edge_type=refutes target=n_fb7af5e20a39\nt=0037 ADD_EDGE edge_id=e_397adad23097 source=n_d864f4b8555a edge_type=supports target=n_51d6b39e13ec\nt=0038 ADD_EDGE edge_id=e_b949d62185c0 source=n_2d11c7ce590f edge_type=supports target=n_43e83b659239\nt=0039 ADD_EDGE edge_id=e_3945a2126f0b source=n_c541ae7edd3a edge_type=refutes target=n_e5c500e81ce1\nt=0040 ADD_EDGE edge_id=e_9d141375d497 source=n_39a6d2a6466e edge_type=refutes target=n_c541ae7edd3a\nt=0041 ADD_EDGE edge_id=e_b35e12eeb93c source=n_c53fc56c9974 edge_type=refutes target=n_6d21ba2b3b92\nt=0042 ADD_EDGE edge_id=e_16632b9dbff0 source=n_671ea8d6d6b3 edge_type=refutes target=n_2d11c7ce590f\nt=0043 ADD_EDGE edge_id=e_355c081a2832 source=n_a7c0a21d5a66 edge_type=refutes target=n_d7d200d95b6d\nt=0044 ADD_EDGE edge_id=e_6147ac006c30 source=n_6f9d46db763e edge_type=supports target=n_671ea8d6d6b3\nt=0045 ADD_EDGE edge_id=e_c58ba22ce96e source=n_03e1475d253c edge_type=supports target=n_1125cd2ca16a\nt=0046 ADD_EDGE edge_id=e_9f5d8087ad48 source=n_c53fc56c9974 edge_type=refutes target=n_a7c0a21d5a66\nt=0047 ADD_EDGE edge_id=e_4cec50ebdc30 source=n_e68a6e64c131 edge_type=supports target=n_31d4a855d9d8\nt=0048 ADD_EDGE edge_id=e_f67b6a163191 source=n_43e83b659239 edge_type=refutes target=n_02c3169e0fd7\nt=0049 ADD_EDGE edge_id=e_6fb5b807790a source=n_cc51b3f880c9 edge_type=supports target=n_5a846727024b\nt=0050 ADD_EDGE edge_id=e_b6b05518fa7f source=n_c541ae7edd3a edge_type=refutes target=n_884d696550af\nt=0051 ADD_EDGE edge_id=e_302eaf76b40e source=n_b5acd5aca5ef edge_type=supports target=n_35aac8bc5196\nt=0052 ADD_EDGE edge_id=e_de30a2ca5f5d source=n_e68a6e64c131 edge_type=supports target=n_db650bde48ee\nt=0053 ADD_EDGE edge_id=e_bd57ac953b1e source=n_02c3169e0fd7 edge_type=refutes target=n_e68a6e64c131\nt=0054 ADD_EDGE edge_id=e_249239eec34d source=n_c541ae7edd3a edge_type=supports target=n_4d15fa51d782\nt=0055 ADD_EDGE edge_id=e_46838b9d5b28 source=n_1125cd2ca16a edge_type=supports target=n_356e03b1c1c6\nt=0056 ADD_EDGE edge_id=e_9a239d5297e2 source=n_d7d200d95b6d edge_type=refutes target=n_6f9d46db763e\nt=0057 ADD_EDGE edge_id=e_b3bd98fb0657 source=n_c541ae7edd3a edge_type=supports target=n_b5acd5aca5ef\nt=0058 ADD_EDGE edge_id=e_077b258aee6c source=n_884d696550af edge_type=supports target=n_cc51b3f880c9\nt=0059 QUERY source=n_c53fc56c9974 target=n_0fe7c497ab6f\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2830,"provenance":{"base_record_id":"train-d10-000","dataset":"livegraph-deterministic-parity-v3","depth":10,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d10-000","split":"train","variant":"clean"},"record_seed":809525526759090098,"render_sha256":"6a475413d347a673fba479b87d161146edf1e6fd461161960f3cd23bbe95e249","representation":"linear_trace","semantic_sha256":"f0ef1d30e827557f7765db1614c226f11e1951e6516a306838a474b3b995f194"}
{"char_count":5084,"item_id":"train-d10-001::linear_trace","label":"FALSE","lexical_token_proxy_count":868,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_c20a5628f827 node_type=claim\nt=0001 CREATE_NODE id=n_d179ef4d17fe node_type=claim\nt=0002 CREATE_NODE id=n_a934b50f4d6f node_type=claim\nt=0003 CREATE_NODE id=n_cb504b7b59a1 node_type=claim\nt=0004 CREATE_NODE id=n_89562b1a1aa8 node_type=claim\nt=0005 CREATE_NODE id=n_b49fed8a6a15 node_type=claim\nt=0006 CREATE_NODE id=n_8537cb360796 node_type=claim\nt=0007 CREATE_NODE id=n_9f7de7e99399 node_type=claim\nt=0008 CREATE_NODE id=n_c82099ba2631 node_type=claim\nt=0009 CREATE_NODE id=n_5a3e3d47e83a node_type=claim\nt=0010 CREATE_NODE id=n_789e69397c7a node_type=claim\nt=0011 CREATE_NODE id=n_53e69957ec30 node_type=claim\nt=0012 CREATE_NODE id=n_ddfcba5dcd2c node_type=claim\nt=0013 CREATE_NODE id=n_6d66ed56de4b node_type=claim\nt=0014 CREATE_NODE id=n_1e1b278bfb81 node_type=claim\nt=0015 CREATE_NODE id=n_6245a6cef403 node_type=claim\nt=0016 CREATE_NODE id=n_98a78306b087 node_type=claim\nt=0017 CREATE_NODE id=n_51b5568df3b7 node_type=claim\nt=0018 CREATE_NODE id=n_adcee6b4c169 node_type=claim\nt=0019 CREATE_NODE id=n_76da0b761186 node_type=claim\nt=0020 CREATE_NODE id=n_26b95d281772 node_type=claim\nt=0021 CREATE_NODE id=n_d9be2deaf414 node_type=claim\nt=0022 CREATE_NODE id=n_7a9f09c7e6f6 node_type=claim\nt=0023 CREATE_NODE id=n_a242f04ea0d5 node_type=claim\nt=0024 CREATE_NODE id=n_87814cb85a22 node_type=claim\nt=0025 CREATE_NODE id=n_d6b3ba872f76 node_type=claim\nt=0026 CREATE_NODE id=n_95c2db0d5868 node_type=claim\nt=0027 CREATE_NODE id=n_a01674e5b12a node_type=claim\nt=0028 CREATE_NODE id=n_936912147667 node_type=claim\nt=0029 CREATE_NODE id=n_5295d9de47a1 node_type=claim\nt=0030 ASSERT_ROOT node=n_5a3e3d47e83a value=TRUE\nt=0031 ADD_EDGE edge_id=e_8308d9afa9dc source=n_51b5568df3b7 edge_type=supports target=n_789e69397c7a\nt=0032 ADD_EDGE edge_id=e_8c4b7ece7ef6 source=n_6245a6cef403 edge_type=supports target=n_a01674e5b12a\nt=0033 ADD_EDGE edge_id=e_30d6578543c8 source=n_53e69957ec30 edge_type=refutes target=n_9f7de7e99399\nt=0034 ADD_EDGE edge_id=e_43158a226b46 source=n_53e69957ec30 edge_type=refutes target=n_ddfcba5dcd2c\nt=0035 ADD_EDGE edge_id=e_4200e212fc97 source=n_9f7de7e99399 edge_type=refutes target=n_936912147667\nt=0036 ADD_EDGE edge_id=e_b2d6e5d9b0d8 source=n_98a78306b087 edge_type=refutes target=n_6d66ed56de4b\nt=0037 ADD_EDGE edge_id=e_6421d3f7716d source=n_89562b1a1aa8 edge_type=refutes target=n_d9be2deaf414\nt=0038 ADD_EDGE edge_id=e_c86ee68fbe39 source=n_5a3e3d47e83a edge_type=supports target=n_26b95d281772\nt=0039 ADD_EDGE edge_id=e_12baaf173aae source=n_51b5568df3b7 edge_type=supports target=n_1e1b278bfb81\nt=0040 ADD_EDGE edge_id=e_1fa4fbeebb36 source=n_53e69957ec30 edge_type=refutes target=n_adcee6b4c169\nt=0041 ADD_EDGE edge_id=e_474cfa59fb9e source=n_53e69957ec30 edge_type=refutes target=n_8537cb360796\nt=0042 ADD_EDGE edge_id=e_d0ac02fdff8d source=n_d9be2deaf414 edge_type=supports target=n_5295d9de47a1\nt=0043 ADD_EDGE edge_id=e_2564386bfc12 source=n_26b95d281772 edge_type=supports target=n_d6b3ba872f76\nt=0044 ADD_EDGE edge_id=e_163247d79496 source=n_c20a5628f827 edge_type=refutes target=n_c82099ba2631\nt=0045 ADD_EDGE edge_id=e_53aa286a0df0 source=n_d6b3ba872f76 edge_type=supports target=n_d179ef4d17fe\nt=0046 ADD_EDGE edge_id=e_c30c10277e7c source=n_87814cb85a22 edge_type=refutes target=n_b49fed8a6a15\nt=0047 ADD_EDGE edge_id=e_a5883524e929 source=n_d9be2deaf414 edge_type=supports target=n_a242f04ea0d5\nt=0048 ADD_EDGE edge_id=e_40f9350d0e3b source=n_89562b1a1aa8 edge_type=supports target=n_7a9f09c7e6f6\nt=0049 ADD_EDGE edge_id=e_6b173e66d8f9 source=n_ddfcba5dcd2c edge_type=refutes target=n_95c2db0d5868\nt=0050 ADD_EDGE edge_id=e_c17d2b2ce3f5 source=n_1e1b278bfb81 edge_type=supports target=n_87814cb85a22\nt=0051 ADD_EDGE edge_id=e_f7bd64b5f47a source=n_98a78306b087 edge_type=supports target=n_c20a5628f827\nt=0052 ADD_EDGE edge_id=e_564a6c4eca5f source=n_98a78306b087 edge_type=refutes target=n_76da0b761186\nt=0053 ADD_EDGE edge_id=e_56b4355eff3f source=n_d179ef4d17fe edge_type=supports target=n_51b5568df3b7\nt=0054 ADD_EDGE edge_id=e_a8a43ece1b7e source=n_6245a6cef403 edge_type=refutes target=n_98a78306b087\nt=0055 ADD_EDGE edge_id=e_8b394eb507ae source=n_95c2db0d5868 edge_type=supports target=n_cb504b7b59a1\nt=0056 ADD_EDGE edge_id=e_9e67211a987e source=n_ddfcba5dcd2c edge_type=supports target=n_6245a6cef403\nt=0057 ADD_EDGE edge_id=e_be37f2855564 source=n_b49fed8a6a15 edge_type=refutes target=n_89562b1a1aa8\nt=0058 ADD_EDGE edge_id=e_3c5fc078be48 source=n_26b95d281772 edge_type=refutes target=n_a934b50f4d6f\nt=0059 QUERY source=n_5a3e3d47e83a target=n_5295d9de47a1\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2827,"provenance":{"base_record_id":"train-d10-001","dataset":"livegraph-deterministic-parity-v3","depth":10,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d10-001","split":"train","variant":"clean"},"record_seed":487999756328134433,"render_sha256":"8623359845beaa412e6e8d5ad5955255d180bb39249d6a8dafb0098df6c12c1b","representation":"linear_trace","semantic_sha256":"549d68648c6e69c69e6b845feccc2741a5486a7d7ba9f34e088c705ee7385723"}
{"char_count":5085,"item_id":"train-d10-002::linear_trace","label":"TRUE","lexical_token_proxy_count":868,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_004d473c4333 node_type=claim\nt=0001 CREATE_NODE id=n_b88eb0073df5 node_type=claim\nt=0002 CREATE_NODE id=n_855a4ee74cf3 node_type=claim\nt=0003 CREATE_NODE id=n_70e11fd4a01f node_type=claim\nt=0004 CREATE_NODE id=n_c7f80a3671a9 node_type=claim\nt=0005 CREATE_NODE id=n_3017a43007b6 node_type=claim\nt=0006 CREATE_NODE id=n_1dece253ac5e node_type=claim\nt=0007 CREATE_NODE id=n_26a493f0f2f5 node_type=claim\nt=0008 CREATE_NODE id=n_6fb0b15ae275 node_type=claim\nt=0009 CREATE_NODE id=n_5d50c212fd59 node_type=claim\nt=0010 CREATE_NODE id=n_7c64e277e932 node_type=claim\nt=0011 CREATE_NODE id=n_9389632c121b node_type=claim\nt=0012 CREATE_NODE id=n_8b2fae3df43c node_type=claim\nt=0013 CREATE_NODE id=n_94a5f4ecf90c node_type=claim\nt=0014 CREATE_NODE id=n_5af6a1178d43 node_type=claim\nt=0015 CREATE_NODE id=n_5f31b2b1b0ea node_type=claim\nt=0016 CREATE_NODE id=n_0bc7ae98414f node_type=claim\nt=0017 CREATE_NODE id=n_685f7c921b2b node_type=claim\nt=0018 CREATE_NODE id=n_93aab090e7a8 node_type=claim\nt=0019 CREATE_NODE id=n_c38ce5ad76ca node_type=claim\nt=0020 CREATE_NODE id=n_5d69e5e8db75 node_type=claim\nt=0021 CREATE_NODE id=n_41519712a9e8 node_type=claim\nt=0022 CREATE_NODE id=n_32aaa9370916 node_type=claim\nt=0023 CREATE_NODE id=n_ec9f250f2062 node_type=claim\nt=0024 CREATE_NODE id=n_f0a3953bfbd3 node_type=claim\nt=0025 CREATE_NODE id=n_118b07d93695 node_type=claim\nt=0026 CREATE_NODE id=n_9b931ab4a5de node_type=claim\nt=0027 CREATE_NODE id=n_0a30b9f624d7 node_type=claim\nt=0028 CREATE_NODE id=n_0a956cbd0282 node_type=claim\nt=0029 CREATE_NODE id=n_1cbf892415ba node_type=claim\nt=0030 ASSERT_ROOT node=n_b88eb0073df5 value=FALSE\nt=0031 ADD_EDGE edge_id=e_435b725a794b source=n_26a493f0f2f5 edge_type=supports target=n_9b931ab4a5de\nt=0032 ADD_EDGE edge_id=e_4a566bad8395 source=n_855a4ee74cf3 edge_type=supports target=n_9389632c121b\nt=0033 ADD_EDGE edge_id=e_31038b80b2f3 source=n_9b931ab4a5de edge_type=supports target=n_5d50c212fd59\nt=0034 ADD_EDGE edge_id=e_3c950c18b1c9 source=n_9b931ab4a5de edge_type=refutes target=n_0a956cbd0282\nt=0035 ADD_EDGE edge_id=e_58a87ba835ba source=n_93aab090e7a8 edge_type=refutes target=n_0a30b9f624d7\nt=0036 ADD_EDGE edge_id=e_425a30e0947c source=n_5d50c212fd59 edge_type=supports target=n_c38ce5ad76ca\nt=0037 ADD_EDGE edge_id=e_cfb755bab11e source=n_685f7c921b2b edge_type=refutes target=n_5af6a1178d43\nt=0038 ADD_EDGE edge_id=e_8e6f9a562c96 source=n_1dece253ac5e edge_type=supports target=n_8b2fae3df43c\nt=0039 ADD_EDGE edge_id=e_cccbb11989a9 source=n_5af6a1178d43 edge_type=supports target=n_5d69e5e8db75\nt=0040 ADD_EDGE edge_id=e_29a7b117e110 source=n_855a4ee74cf3 edge_type=refutes target=n_ec9f250f2062\nt=0041 ADD_EDGE edge_id=e_559b937aae34 source=n_1cbf892415ba edge_type=supports target=n_70e11fd4a01f\nt=0042 ADD_EDGE edge_id=e_30a7ff2ec409 source=n_1cbf892415ba edge_type=refutes target=n_004d473c4333\nt=0043 ADD_EDGE edge_id=e_1887473efd9b source=n_32aaa9370916 edge_type=refutes target=n_41519712a9e8\nt=0044 ADD_EDGE edge_id=e_b4b75be428fa source=n_5af6a1178d43 edge_type=refutes target=n_32aaa9370916\nt=0045 ADD_EDGE edge_id=e_6640b436d35a source=n_118b07d93695 edge_type=refutes target=n_0bc7ae98414f\nt=0046 ADD_EDGE edge_id=e_2aca58a1fd52 source=n_1dece253ac5e edge_type=supports target=n_1cbf892415ba\nt=0047 ADD_EDGE edge_id=e_b0bae82eccc0 source=n_855a4ee74cf3 edge_type=refutes target=n_685f7c921b2b\nt=0048 ADD_EDGE edge_id=e_805eeae8ec8e source=n_5d69e5e8db75 edge_type=supports target=n_118b07d93695\nt=0049 ADD_EDGE edge_id=e_00130eb86b34 source=n_5d50c212fd59 edge_type=supports target=n_93aab090e7a8\nt=0050 ADD_EDGE edge_id=e_71ca05022e25 source=n_ec9f250f2062 edge_type=refutes target=n_5f31b2b1b0ea\nt=0051 ADD_EDGE edge_id=e_0577545a02e8 source=n_855a4ee74cf3 edge_type=refutes target=n_3017a43007b6\nt=0052 ADD_EDGE edge_id=e_688dc57e1a24 source=n_b88eb0073df5 edge_type=supports target=n_1dece253ac5e\nt=0053 ADD_EDGE edge_id=e_9fee54b5b981 source=n_0a30b9f624d7 edge_type=supports target=n_7c64e277e932\nt=0054 ADD_EDGE edge_id=e_d347772ce2a9 source=n_6fb0b15ae275 edge_type=supports target=n_26a493f0f2f5\nt=0055 ADD_EDGE edge_id=e_b46858db4963 source=n_70e11fd4a01f edge_type=supports target=n_6fb0b15ae275\nt=0056 ADD_EDGE edge_id=e_166043aa574b source=n_32aaa9370916 edge_type=refutes target=n_f0a3953bfbd3\nt=0057 ADD_EDGE edge_id=e_6b1ff2a45a8f source=n_0bc7ae98414f edge_type=refutes target=n_94a5f4ecf90c\nt=0058 ADD_EDGE edge_id=e_eb3b0c586ed1 source=n_9389632c121b edge_type=refutes target=n_c7f80a3671a9\nt=0059 QUERY source=n_b88eb0073df5 target=n_7c64e277e932\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2819,"provenance":{"base_record_id":"train-d10-002","dataset":"livegraph-deterministic-parity-v3","depth":10,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d10-002","split":"train","variant":"clean"},"record_seed":1011006915987187822,"render_sha256":"7937602b3a0c46a7f5c0eea848c702b037f6cd3a7476b513a378b755fca5b398","representation":"linear_trace","semantic_sha256":"688db2dfbd85dc62a91c84aabaf79c1d86e1397952ed7e163af9c22c9cf5d390"}
{"char_count":5085,"item_id":"train-d10-003::linear_trace","label":"FALSE","lexical_token_proxy_count":868,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_de847c6223e6 node_type=claim\nt=0001 CREATE_NODE id=n_f7454a07e11a node_type=claim\nt=0002 CREATE_NODE id=n_b1ec8d1a9ae5 node_type=claim\nt=0003 CREATE_NODE id=n_4d1b8772a1a2 node_type=claim\nt=0004 CREATE_NODE id=n_b080e1958a5f node_type=claim\nt=0005 CREATE_NODE id=n_940c1d254401 node_type=claim\nt=0006 CREATE_NODE id=n_796cce022918 node_type=claim\nt=0007 CREATE_NODE id=n_d7f101a13fe6 node_type=claim\nt=0008 CREATE_NODE id=n_072ff326628b node_type=claim\nt=0009 CREATE_NODE id=n_c5868804e750 node_type=claim\nt=0010 CREATE_NODE id=n_40b51262387d node_type=claim\nt=0011 CREATE_NODE id=n_6f1e1e80c6ff node_type=claim\nt=0012 CREATE_NODE id=n_3151015e1437 node_type=claim\nt=0013 CREATE_NODE id=n_2e079d06e252 node_type=claim\nt=0014 CREATE_NODE id=n_079e317f49c0 node_type=claim\nt=0015 CREATE_NODE id=n_cae23c60b0d1 node_type=claim\nt=0016 CREATE_NODE id=n_6b768c90d41c node_type=claim\nt=0017 CREATE_NODE id=n_62e74439ebcb node_type=claim\nt=0018 CREATE_NODE id=n_4139c4b91637 node_type=claim\nt=0019 CREATE_NODE id=n_b2145232dfc0 node_type=claim\nt=0020 CREATE_NODE id=n_869d7b3856c0 node_type=claim\nt=0021 CREATE_NODE id=n_d63e65b31a66 node_type=claim\nt=0022 CREATE_NODE id=n_347dfa7bb515 node_type=claim\nt=0023 CREATE_NODE id=n_f6ab46716c40 node_type=claim\nt=0024 CREATE_NODE id=n_bed74afe448b node_type=claim\nt=0025 CREATE_NODE id=n_d340fe329180 node_type=claim\nt=0026 CREATE_NODE id=n_6edfb36f11bc node_type=claim\nt=0027 CREATE_NODE id=n_857a1767867f node_type=claim\nt=0028 CREATE_NODE id=n_c9ae3f306351 node_type=claim\nt=0029 CREATE_NODE id=n_c464c48f7dfe node_type=claim\nt=0030 ASSERT_ROOT node=n_f7454a07e11a value=FALSE\nt=0031 ADD_EDGE edge_id=e_1157cf7adb2c source=n_bed74afe448b edge_type=supports target=n_40b51262387d\nt=0032 ADD_EDGE edge_id=e_3cfd55bc58ad source=n_072ff326628b edge_type=refutes target=n_6f1e1e80c6ff\nt=0033 ADD_EDGE edge_id=e_aa4b949992d5 source=n_072ff326628b edge_type=refutes target=n_796cce022918\nt=0034 ADD_EDGE edge_id=e_4a852d6d0f3c source=n_347dfa7bb515 edge_type=supports target=n_3151015e1437\nt=0035 ADD_EDGE edge_id=e_ea1596bd8060 source=n_6edfb36f11bc edge_type=refutes target=n_de847c6223e6\nt=0036 ADD_EDGE edge_id=e_cec0a02fa48a source=n_c5868804e750 edge_type=refutes target=n_f6ab46716c40\nt=0037 ADD_EDGE edge_id=e_a107ea3a7522 source=n_6f1e1e80c6ff edge_type=supports target=n_857a1767867f\nt=0038 ADD_EDGE edge_id=e_6603223f6f89 source=n_d63e65b31a66 edge_type=refutes target=n_cae23c60b0d1\nt=0039 ADD_EDGE edge_id=e_41633c233cd0 source=n_c464c48f7dfe edge_type=refutes target=n_d63e65b31a66\nt=0040 ADD_EDGE edge_id=e_f67b6f13bcf7 source=n_072ff326628b edge_type=refutes target=n_4139c4b91637\nt=0041 ADD_EDGE edge_id=e_2b33b8a9edb0 source=n_4d1b8772a1a2 edge_type=supports target=n_c9ae3f306351\nt=0042 ADD_EDGE edge_id=e_eda918baba12 source=n_6edfb36f11bc edge_type=refutes target=n_c5868804e750\nt=0043 ADD_EDGE edge_id=e_999d564bcc89 source=n_4d1b8772a1a2 edge_type=supports target=n_347dfa7bb515\nt=0044 ADD_EDGE edge_id=e_6184a355e645 source=n_d340fe329180 edge_type=refutes target=n_bed74afe448b\nt=0045 ADD_EDGE edge_id=e_148a32c48f0d source=n_6f1e1e80c6ff edge_type=supports target=n_940c1d254401\nt=0046 ADD_EDGE edge_id=e_c9106e16d27e source=n_6f1e1e80c6ff edge_type=refutes target=n_b1ec8d1a9ae5\nt=0047 ADD_EDGE edge_id=e_1bd7a4c2539b source=n_869d7b3856c0 edge_type=supports target=n_2e079d06e252\nt=0048 ADD_EDGE edge_id=e_15aa2d3fefbf source=n_d340fe329180 edge_type=supports target=n_d7f101a13fe6\nt=0049 ADD_EDGE edge_id=e_37034b4f003b source=n_6f1e1e80c6ff edge_type=supports target=n_6edfb36f11bc\nt=0050 ADD_EDGE edge_id=e_1baad01d9882 source=n_f7454a07e11a edge_type=supports target=n_d340fe329180\nt=0051 ADD_EDGE edge_id=e_48926a33d6ec source=n_3151015e1437 edge_type=supports target=n_c464c48f7dfe\nt=0052 ADD_EDGE edge_id=e_95a5b95ce692 source=n_d63e65b31a66 edge_type=refutes target=n_079e317f49c0\nt=0053 ADD_EDGE edge_id=e_f4a9b7e9db58 source=n_bed74afe448b edge_type=refutes target=n_b2145232dfc0\nt=0054 ADD_EDGE edge_id=e_d1adf9ba9a26 source=n_6f1e1e80c6ff edge_type=supports target=n_b080e1958a5f\nt=0055 ADD_EDGE edge_id=e_79e3923fff44 source=n_b2145232dfc0 edge_type=refutes target=n_4d1b8772a1a2\nt=0056 ADD_EDGE edge_id=e_11c2a7c07bfb source=n_6edfb36f11bc edge_type=supports target=n_6b768c90d41c\nt=0057 ADD_EDGE edge_id=e_cf9678be8386 source=n_079e317f49c0 edge_type=refutes target=n_62e74439ebcb\nt=0058 ADD_EDGE edge_id=e_7973d6a04cb9 source=n_869d7b3856c0 edge_type=supports target=n_072ff326628b\nt=0059 QUERY source=n_f7454a07e11a target=n_62e74439ebcb\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2840,"provenance":{"base_record_id":"train-d10-003","dataset":"livegraph-deterministic-parity-v3","depth":10,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d10-003","split":"train","variant":"clean"},"record_seed":109653903124789705,"render_sha256":"21ed237a71aba6b77a3b77d0ec6faf99c84030564e135851c1f73d1555698a02","representation":"linear_trace","semantic_sha256":"32cdfe96e9c7039798e2320ddc539b261cfe1786253e7a43dbac071d4f44c35a"}
{"char_count":5084,"item_id":"train-d10-004::linear_trace","label":"TRUE","lexical_token_proxy_count":868,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_2124a1da445d node_type=claim\nt=0001 CREATE_NODE id=n_0c67958734df node_type=claim\nt=0002 CREATE_NODE id=n_4fdca0b97b1a node_type=claim\nt=0003 CREATE_NODE id=n_52f9e41a0b16 node_type=claim\nt=0004 CREATE_NODE id=n_dc93d4578d59 node_type=claim\nt=0005 CREATE_NODE id=n_ee2d0d0d47da node_type=claim\nt=0006 CREATE_NODE id=n_85400333aa3d node_type=claim\nt=0007 CREATE_NODE id=n_514185c7da1c node_type=claim\nt=0008 CREATE_NODE id=n_bc820cadd101 node_type=claim\nt=0009 CREATE_NODE id=n_13df21f5a2e3 node_type=claim\nt=0010 CREATE_NODE id=n_b931970986d5 node_type=claim\nt=0011 CREATE_NODE id=n_0018be0136ab node_type=claim\nt=0012 CREATE_NODE id=n_ea2b0cba09ae node_type=claim\nt=0013 CREATE_NODE id=n_2b9789189ea4 node_type=claim\nt=0014 CREATE_NODE id=n_fd4dba941c57 node_type=claim\nt=0015 CREATE_NODE id=n_3d9a876fcf93 node_type=claim\nt=0016 CREATE_NODE id=n_66df17abab59 node_type=claim\nt=0017 CREATE_NODE id=n_ce0e6e007709 node_type=claim\nt=0018 CREATE_NODE id=n_e79441dfec2e node_type=claim\nt=0019 CREATE_NODE id=n_7af4849c6e26 node_type=claim\nt=0020 CREATE_NODE id=n_4eef2e21855d node_type=claim\nt=0021 CREATE_NODE id=n_84b0aeae3198 node_type=claim\nt=0022 CREATE_NODE id=n_d2e580af3c80 node_type=claim\nt=0023 CREATE_NODE id=n_b7bd0861e1da node_type=claim\nt=0024 CREATE_NODE id=n_879c433ab546 node_type=claim\nt=0025 CREATE_NODE id=n_e69ddaacfed0 node_type=claim\nt=0026 CREATE_NODE id=n_6e386d443eac node_type=claim\nt=0027 CREATE_NODE id=n_9efc84ac2d59 node_type=claim\nt=0028 CREATE_NODE id=n_df622f8284ff node_type=claim\nt=0029 CREATE_NODE id=n_5e680e54cdf2 node_type=claim\nt=0030 ASSERT_ROOT node=n_2124a1da445d value=TRUE\nt=0031 ADD_EDGE edge_id=e_1df23ab5e9f6 source=n_b931970986d5 edge_type=refutes target=n_6e386d443eac\nt=0032 ADD_EDGE edge_id=e_92abfe63dadb source=n_e79441dfec2e edge_type=supports target=n_2b9789189ea4\nt=0033 ADD_EDGE edge_id=e_715a8d8cad6d source=n_5e680e54cdf2 edge_type=supports target=n_7af4849c6e26\nt=0034 ADD_EDGE edge_id=e_855b1f3655ef source=n_6e386d443eac edge_type=supports target=n_ea2b0cba09ae\nt=0035 ADD_EDGE edge_id=e_51f180db2996 source=n_879c433ab546 edge_type=supports target=n_0c67958734df\nt=0036 ADD_EDGE edge_id=e_e88e4c8bf88e source=n_df622f8284ff edge_type=refutes target=n_13df21f5a2e3\nt=0037 ADD_EDGE edge_id=e_aca1784ed1cc source=n_2124a1da445d edge_type=refutes target=n_dc93d4578d59\nt=0038 ADD_EDGE edge_id=e_09043517e25d source=n_b7bd0861e1da edge_type=supports target=n_b931970986d5\nt=0039 ADD_EDGE edge_id=e_81a94ed0379d source=n_9efc84ac2d59 edge_type=refutes target=n_4eef2e21855d\nt=0040 ADD_EDGE edge_id=e_ab60bf3a638b source=n_879c433ab546 edge_type=refutes target=n_fd4dba941c57\nt=0041 ADD_EDGE edge_id=e_54921284e6e5 source=n_bc820cadd101 edge_type=refutes target=n_0018be0136ab\nt=0042 ADD_EDGE edge_id=e_a183198c90de source=n_e69ddaacfed0 edge_type=supports target=n_b7bd0861e1da\nt=0043 ADD_EDGE edge_id=e_d300cdf426e9 source=n_ce0e6e007709 edge_type=supports target=n_e69ddaacfed0\nt=0044 ADD_EDGE edge_id=e_37245b48fee5 source=n_3d9a876fcf93 edge_type=refutes target=n_ce0e6e007709\nt=0045 ADD_EDGE edge_id=e_d5425eff8ae5 source=n_df622f8284ff edge_type=supports target=n_66df17abab59\nt=0046 ADD_EDGE edge_id=e_2829c93ece11 source=n_879c433ab546 edge_type=refutes target=n_d2e580af3c80\nt=0047 ADD_EDGE edge_id=e_c85e9e72b7f0 source=n_dc93d4578d59 edge_type=refutes target=n_df622f8284ff\nt=0048 ADD_EDGE edge_id=e_33ed148211c0 source=n_e79441dfec2e edge_type=supports target=n_84b0aeae3198\nt=0049 ADD_EDGE edge_id=e_3cadb0c3bcdb source=n_9efc84ac2d59 edge_type=supports target=n_3d9a876fcf93\nt=0050 ADD_EDGE edge_id=e_9778c553ec7f source=n_66df17abab59 edge_type=supports target=n_9efc84ac2d59\nt=0051 ADD_EDGE edge_id=e_73b3940ababc source=n_879c433ab546 edge_type=supports target=n_4fdca0b97b1a\nt=0052 ADD_EDGE edge_id=e_7c13e097710a source=n_879c433ab546 edge_type=refutes target=n_bc820cadd101\nt=0053 ADD_EDGE edge_id=e_83c9c81549f5 source=n_ee2d0d0d47da edge_type=refutes target=n_e79441dfec2e\nt=0054 ADD_EDGE edge_id=e_7848750e48ed source=n_9efc84ac2d59 edge_type=refutes target=n_85400333aa3d\nt=0055 ADD_EDGE edge_id=e_3288225c61ad source=n_7af4849c6e26 edge_type=refutes target=n_514185c7da1c\nt=0056 ADD_EDGE edge_id=e_8db439cd7b59 source=n_ee2d0d0d47da edge_type=supports target=n_5e680e54cdf2\nt=0057 ADD_EDGE edge_id=e_04e2712b4d86 source=n_4fdca0b97b1a edge_type=supports target=n_52f9e41a0b16\nt=0058 ADD_EDGE edge_id=e_2428fad5e612 source=n_ee2d0d0d47da edge_type=refutes target=n_879c433ab546\nt=0059 QUERY source=n_2124a1da445d target=n_6e386d443eac\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2772,"provenance":{"base_record_id":"train-d10-004","dataset":"livegraph-deterministic-parity-v3","depth":10,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d10-004","split":"train","variant":"clean"},"record_seed":627856335836500628,"render_sha256":"569c628a4079618d816ae377fb3fd24ba24e9cd1f77fac0eb70c2305d3ca5c2e","representation":"linear_trace","semantic_sha256":"4589e5629a8252cf4b377aaaac648c7b2af1c8f91713948e54ab95fac9179fa9"}
{"char_count":5084,"item_id":"train-d10-005::linear_trace","label":"FALSE","lexical_token_proxy_count":868,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_a19c0698ff72 node_type=claim\nt=0001 CREATE_NODE id=n_b9579175f312 node_type=claim\nt=0002 CREATE_NODE id=n_eeed67e50389 node_type=claim\nt=0003 CREATE_NODE id=n_7b72a56807da node_type=claim\nt=0004 CREATE_NODE id=n_0e9b9616c919 node_type=claim\nt=0005 CREATE_NODE id=n_cd670b8d9ac7 node_type=claim\nt=0006 CREATE_NODE id=n_9757bc7662e7 node_type=claim\nt=0007 CREATE_NODE id=n_a48f7a44ee46 node_type=claim\nt=0008 CREATE_NODE id=n_ac9f1d6c53ab node_type=claim\nt=0009 CREATE_NODE id=n_50565bb6b45f node_type=claim\nt=0010 CREATE_NODE id=n_7b552b414208 node_type=claim\nt=0011 CREATE_NODE id=n_d760bbbb28bf node_type=claim\nt=0012 CREATE_NODE id=n_f509fc48a2b6 node_type=claim\nt=0013 CREATE_NODE id=n_ca0556891d3f node_type=claim\nt=0014 CREATE_NODE id=n_8645b3fcf5b4 node_type=claim\nt=0015 CREATE_NODE id=n_23cc6a901b84 node_type=claim\nt=0016 CREATE_NODE id=n_5d6961ecaa72 node_type=claim\nt=0017 CREATE_NODE id=n_f51b72d205df node_type=claim\nt=0018 CREATE_NODE id=n_fdf54fdc6855 node_type=claim\nt=0019 CREATE_NODE id=n_422a2af17155 node_type=claim\nt=0020 CREATE_NODE id=n_a5d8a8cac971 node_type=claim\nt=0021 CREATE_NODE id=n_4504c8a3fae3 node_type=claim\nt=0022 CREATE_NODE id=n_e42b02e3e43b node_type=claim\nt=0023 CREATE_NODE id=n_3ad3d4d569df node_type=claim\nt=0024 CREATE_NODE id=n_38d2bc35b227 node_type=claim\nt=0025 CREATE_NODE id=n_d2219ab2db41 node_type=claim\nt=0026 CREATE_NODE id=n_86b475b87e07 node_type=claim\nt=0027 CREATE_NODE id=n_dca3f80d7b7a node_type=claim\nt=0028 CREATE_NODE id=n_2fbd09cd10fc node_type=claim\nt=0029 CREATE_NODE id=n_dbe439f11b35 node_type=claim\nt=0030 ASSERT_ROOT node=n_d2219ab2db41 value=TRUE\nt=0031 ADD_EDGE edge_id=e_dadea36b8785 source=n_ac9f1d6c53ab edge_type=supports target=n_86b475b87e07\nt=0032 ADD_EDGE edge_id=e_b79d822e0116 source=n_b9579175f312 edge_type=supports target=n_5d6961ecaa72\nt=0033 ADD_EDGE edge_id=e_31b2b042d0cb source=n_4504c8a3fae3 edge_type=supports target=n_7b72a56807da\nt=0034 ADD_EDGE edge_id=e_bad89506c3ac source=n_a5d8a8cac971 edge_type=supports target=n_f51b72d205df\nt=0035 ADD_EDGE edge_id=e_43f0736b5599 source=n_d2219ab2db41 edge_type=supports target=n_4504c8a3fae3\nt=0036 ADD_EDGE edge_id=e_896f1e246b82 source=n_2fbd09cd10fc edge_type=supports target=n_a48f7a44ee46\nt=0037 ADD_EDGE edge_id=e_5ee4c7dc59fa source=n_9757bc7662e7 edge_type=supports target=n_3ad3d4d569df\nt=0038 ADD_EDGE edge_id=e_3e0e92a359d4 source=n_9757bc7662e7 edge_type=refutes target=n_ac9f1d6c53ab\nt=0039 ADD_EDGE edge_id=e_b68bd47d36bc source=n_dca3f80d7b7a edge_type=refutes target=n_23cc6a901b84\nt=0040 ADD_EDGE edge_id=e_f0063667b243 source=n_ac9f1d6c53ab edge_type=refutes target=n_b9579175f312\nt=0041 ADD_EDGE edge_id=e_4bc8c10f6c6c source=n_f51b72d205df edge_type=refutes target=n_0e9b9616c919\nt=0042 ADD_EDGE edge_id=e_325219205838 source=n_9757bc7662e7 edge_type=refutes target=n_cd670b8d9ac7\nt=0043 ADD_EDGE edge_id=e_2ad140428b1f source=n_f51b72d205df edge_type=supports target=n_422a2af17155\nt=0044 ADD_EDGE edge_id=e_d147bf672245 source=n_2fbd09cd10fc edge_type=supports target=n_7b552b414208\nt=0045 ADD_EDGE edge_id=e_c4b690c055da source=n_7b72a56807da edge_type=refutes target=n_38d2bc35b227\nt=0046 ADD_EDGE edge_id=e_a3086eb20937 source=n_a5d8a8cac971 edge_type=refutes target=n_8645b3fcf5b4\nt=0047 ADD_EDGE edge_id=e_107f9006ea46 source=n_fdf54fdc6855 edge_type=supports target=n_a19c0698ff72\nt=0048 ADD_EDGE edge_id=e_64bab0db2fa9 source=n_2fbd09cd10fc edge_type=supports target=n_eeed67e50389\nt=0049 ADD_EDGE edge_id=e_f874d6ed1d6c source=n_50565bb6b45f edge_type=supports target=n_ca0556891d3f\nt=0050 ADD_EDGE edge_id=e_6a13df3577ee source=n_7b552b414208 edge_type=refutes target=n_dca3f80d7b7a\nt=0051 ADD_EDGE edge_id=e_9c46caf96d3b source=n_7b72a56807da edge_type=refutes target=n_e42b02e3e43b\nt=0052 ADD_EDGE edge_id=e_06d7530ea253 source=n_0e9b9616c919 edge_type=refutes target=n_fdf54fdc6855\nt=0053 ADD_EDGE edge_id=e_1991b8ab549a source=n_a48f7a44ee46 edge_type=refutes target=n_f509fc48a2b6\nt=0054 ADD_EDGE edge_id=e_e22e45cff6d9 source=n_dbe439f11b35 edge_type=supports target=n_50565bb6b45f\nt=0055 ADD_EDGE edge_id=e_ff4f80c688c2 source=n_a19c0698ff72 edge_type=refutes target=n_dbe439f11b35\nt=0056 ADD_EDGE edge_id=e_c5b52b396bf3 source=n_e42b02e3e43b edge_type=refutes target=n_a5d8a8cac971\nt=0057 ADD_EDGE edge_id=e_3748d17a33dd source=n_9757bc7662e7 edge_type=supports target=n_d760bbbb28bf\nt=0058 ADD_EDGE edge_id=e_ebe0bf212b1a source=n_cd670b8d9ac7 edge_type=refutes target=n_2fbd09cd10fc\nt=0059 QUERY source=n_d2219ab2db41 target=n_50565bb6b45f\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2815,"provenance":{"base_record_id":"train-d10-005","dataset":"livegraph-deterministic-parity-v3","depth":10,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d10-005","split":"train","variant":"clean"},"record_seed":31272319618577972,"render_sha256":"72decfe74e4316183c41ee7999ead5b388f1108055063fad201b40b8b9e9e9fa","representation":"linear_trace","semantic_sha256":"87664c6cc7505bfa1b7070774402a0bca8369f396aa2b6c332ea7051b8f5136f"}
{"char_count":5085,"item_id":"train-d10-006::linear_trace","label":"TRUE","lexical_token_proxy_count":868,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_5bf3e05d2449 node_type=claim\nt=0001 CREATE_NODE id=n_982ef9ec1b88 node_type=claim\nt=0002 CREATE_NODE id=n_b1b9fe18b089 node_type=claim\nt=0003 CREATE_NODE id=n_61108cbc83e5 node_type=claim\nt=0004 CREATE_NODE id=n_a29e15b0b7df node_type=claim\nt=0005 CREATE_NODE id=n_ff864d1ccf6d node_type=claim\nt=0006 CREATE_NODE id=n_9f5881601b67 node_type=claim\nt=0007 CREATE_NODE id=n_bf9d0f354c9d node_type=claim\nt=0008 CREATE_NODE id=n_7c946c910812 node_type=claim\nt=0009 CREATE_NODE id=n_cf98bf195599 node_type=claim\nt=0010 CREATE_NODE id=n_d3d2f659b288 node_type=claim\nt=0011 CREATE_NODE id=n_2d683fb25f4e node_type=claim\nt=0012 CREATE_NODE id=n_08b96ddf56d9 node_type=claim\nt=0013 CREATE_NODE id=n_6cfe2893f997 node_type=claim\nt=0014 CREATE_NODE id=n_c7d92225bfbb node_type=claim\nt=0015 CREATE_NODE id=n_ba3ed9adf897 node_type=claim\nt=0016 CREATE_NODE id=n_59abd3fa93fe node_type=claim\nt=0017 CREATE_NODE id=n_fa428d3e1917 node_type=claim\nt=0018 CREATE_NODE id=n_943b0354d2cb node_type=claim\nt=0019 CREATE_NODE id=n_d63668566ed0 node_type=claim\nt=0020 CREATE_NODE id=n_fe5838e8c425 node_type=claim\nt=0021 CREATE_NODE id=n_3815610fb10b node_type=claim\nt=0022 CREATE_NODE id=n_4f10b3f088ac node_type=claim\nt=0023 CREATE_NODE id=n_d1e15664a823 node_type=claim\nt=0024 CREATE_NODE id=n_cf5f975c9c16 node_type=claim\nt=0025 CREATE_NODE id=n_b44519a84ace node_type=claim\nt=0026 CREATE_NODE id=n_398927fb2b0c node_type=claim\nt=0027 CREATE_NODE id=n_a15648a50ffe node_type=claim\nt=0028 CREATE_NODE id=n_9b0d727a2ed6 node_type=claim\nt=0029 CREATE_NODE id=n_05170d56caa7 node_type=claim\nt=0030 ASSERT_ROOT node=n_2d683fb25f4e value=FALSE\nt=0031 ADD_EDGE edge_id=e_fd284c85dcde source=n_05170d56caa7 edge_type=refutes target=n_3815610fb10b\nt=0032 ADD_EDGE edge_id=e_226cc3f11813 source=n_fe5838e8c425 edge_type=supports target=n_943b0354d2cb\nt=0033 ADD_EDGE edge_id=e_8514fc0cb20d source=n_cf98bf195599 edge_type=supports target=n_c7d92225bfbb\nt=0034 ADD_EDGE edge_id=e_c62839367c0e source=n_cf5f975c9c16 edge_type=supports target=n_398927fb2b0c\nt=0035 ADD_EDGE edge_id=e_e8b3895c07f3 source=n_fa428d3e1917 edge_type=refutes target=n_4f10b3f088ac\nt=0036 ADD_EDGE edge_id=e_81c30d505897 source=n_2d683fb25f4e edge_type=supports target=n_b44519a84ace\nt=0037 ADD_EDGE edge_id=e_16c20f32d65f source=n_4f10b3f088ac edge_type=refutes target=n_982ef9ec1b88\nt=0038 ADD_EDGE edge_id=e_da544a3b1b6b source=n_bf9d0f354c9d edge_type=refutes target=n_ba3ed9adf897\nt=0039 ADD_EDGE edge_id=e_91f170062d9b source=n_cf98bf195599 edge_type=refutes target=n_bf9d0f354c9d\nt=0040 ADD_EDGE edge_id=e_0c342364f8d0 source=n_ba3ed9adf897 edge_type=refutes target=n_7c946c910812\nt=0041 ADD_EDGE edge_id=e_a44fa85a1544 source=n_cf5f975c9c16 edge_type=refutes target=n_6cfe2893f997\nt=0042 ADD_EDGE edge_id=e_c12114a31378 source=n_d3d2f659b288 edge_type=supports target=n_59abd3fa93fe\nt=0043 ADD_EDGE edge_id=e_efd98ef2f7e2 source=n_a15648a50ffe edge_type=supports target=n_a29e15b0b7df\nt=0044 ADD_EDGE edge_id=e_65a0466f964b source=n_cf5f975c9c16 edge_type=supports target=n_9f5881601b67\nt=0045 ADD_EDGE edge_id=e_0ecafe5ee029 source=n_b44519a84ace edge_type=supports target=n_9b0d727a2ed6\nt=0046 ADD_EDGE edge_id=e_8a10366aa409 source=n_cf5f975c9c16 edge_type=refutes target=n_fe5838e8c425\nt=0047 ADD_EDGE edge_id=e_1778a220a4a0 source=n_3815610fb10b edge_type=supports target=n_d63668566ed0\nt=0048 ADD_EDGE edge_id=e_ef49b4732548 source=n_d3d2f659b288 edge_type=supports target=n_05170d56caa7\nt=0049 ADD_EDGE edge_id=e_8199d17b6a7f source=n_9b0d727a2ed6 edge_type=refutes target=n_5bf3e05d2449\nt=0050 ADD_EDGE edge_id=e_2af4c77cc9ff source=n_9f5881601b67 edge_type=refutes target=n_a15648a50ffe\nt=0051 ADD_EDGE edge_id=e_1c2cb64c9076 source=n_982ef9ec1b88 edge_type=refutes target=n_cf98bf195599\nt=0052 ADD_EDGE edge_id=e_a2e7ae11b4af source=n_08b96ddf56d9 edge_type=supports target=n_fa428d3e1917\nt=0053 ADD_EDGE edge_id=e_23c3a9e14bbe source=n_9b0d727a2ed6 edge_type=refutes target=n_ff864d1ccf6d\nt=0054 ADD_EDGE edge_id=e_0eab25ad3123 source=n_9b0d727a2ed6 edge_type=refutes target=n_08b96ddf56d9\nt=0055 ADD_EDGE edge_id=e_c7d09b19e6f5 source=n_d1e15664a823 edge_type=supports target=n_cf5f975c9c16\nt=0056 ADD_EDGE edge_id=e_fcdb863e3bc1 source=n_cf5f975c9c16 edge_type=supports target=n_61108cbc83e5\nt=0057 ADD_EDGE edge_id=e_6fb5ae067ca1 source=n_cf5f975c9c16 edge_type=refutes target=n_d3d2f659b288\nt=0058 ADD_EDGE edge_id=e_61d47de83a4d source=n_4f10b3f088ac edge_type=supports target=n_b1b9fe18b089\nt=0059 QUERY source=n_2d683fb25f4e target=n_7c946c910812\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2816,"provenance":{"base_record_id":"train-d10-006","dataset":"livegraph-deterministic-parity-v3","depth":10,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d10-006","split":"train","variant":"clean"},"record_seed":51631174357813165,"render_sha256":"0e88207a86b063118785c58a82521148befac8647cc074a1a4fb7f7838d663fd","representation":"linear_trace","semantic_sha256":"3374a735cf7adf49e16bb563bb6b6f77e4d6630bf6538653a0c85fc26e77c3d3"}
{"char_count":5085,"item_id":"train-d10-007::linear_trace","label":"FALSE","lexical_token_proxy_count":868,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_660c780c65ff node_type=claim\nt=0001 CREATE_NODE id=n_17241ed89535 node_type=claim\nt=0002 CREATE_NODE id=n_ea40c00202de node_type=claim\nt=0003 CREATE_NODE id=n_5121712f985e node_type=claim\nt=0004 CREATE_NODE id=n_e607fe43ecbf node_type=claim\nt=0005 CREATE_NODE id=n_dd8d370682a6 node_type=claim\nt=0006 CREATE_NODE id=n_cd2a8f01a3f0 node_type=claim\nt=0007 CREATE_NODE id=n_4031b44b4400 node_type=claim\nt=0008 CREATE_NODE id=n_40529dddab88 node_type=claim\nt=0009 CREATE_NODE id=n_c5ba371e7666 node_type=claim\nt=0010 CREATE_NODE id=n_eb036396ad43 node_type=claim\nt=0011 CREATE_NODE id=n_3d6cc34bae9b node_type=claim\nt=0012 CREATE_NODE id=n_3bc82a11f309 node_type=claim\nt=0013 CREATE_NODE id=n_93b5a869fdd9 node_type=claim\nt=0014 CREATE_NODE id=n_9de9558d5b30 node_type=claim\nt=0015 CREATE_NODE id=n_a18bd696766e node_type=claim\nt=0016 CREATE_NODE id=n_c107eccbbbbf node_type=claim\nt=0017 CREATE_NODE id=n_27dc1e84bd94 node_type=claim\nt=0018 CREATE_NODE id=n_b731458ba346 node_type=claim\nt=0019 CREATE_NODE id=n_b20914ae5f4e node_type=claim\nt=0020 CREATE_NODE id=n_9386c39ce200 node_type=claim\nt=0021 CREATE_NODE id=n_5b2cc5389148 node_type=claim\nt=0022 CREATE_NODE id=n_43095dd2b2f3 node_type=claim\nt=0023 CREATE_NODE id=n_a2c45da82e6c node_type=claim\nt=0024 CREATE_NODE id=n_2b5d22257758 node_type=claim\nt=0025 CREATE_NODE id=n_787c9c5529ed node_type=claim\nt=0026 CREATE_NODE id=n_e08a23a71932 node_type=claim\nt=0027 CREATE_NODE id=n_4b399318bc92 node_type=claim\nt=0028 CREATE_NODE id=n_8f4c939b54df node_type=claim\nt=0029 CREATE_NODE id=n_600b36033ab0 node_type=claim\nt=0030 ASSERT_ROOT node=n_b20914ae5f4e value=FALSE\nt=0031 ADD_EDGE edge_id=e_be7443af8a05 source=n_3bc82a11f309 edge_type=refutes target=n_8f4c939b54df\nt=0032 ADD_EDGE edge_id=e_417ba3864576 source=n_93b5a869fdd9 edge_type=refutes target=n_c107eccbbbbf\nt=0033 ADD_EDGE edge_id=e_341db06aa05c source=n_b20914ae5f4e edge_type=refutes target=n_93b5a869fdd9\nt=0034 ADD_EDGE edge_id=e_920aa9aa6a88 source=n_a2c45da82e6c edge_type=refutes target=n_660c780c65ff\nt=0035 ADD_EDGE edge_id=e_2f7edd73f866 source=n_ea40c00202de edge_type=refutes target=n_e08a23a71932\nt=0036 ADD_EDGE edge_id=e_2f3d4fce35d2 source=n_b20914ae5f4e edge_type=supports target=n_2b5d22257758\nt=0037 ADD_EDGE edge_id=e_51ce18ffe36b source=n_4b399318bc92 edge_type=supports target=n_e607fe43ecbf\nt=0038 ADD_EDGE edge_id=e_afc1218e5b7f source=n_dd8d370682a6 edge_type=refutes target=n_3bc82a11f309\nt=0039 ADD_EDGE edge_id=e_e0eecc5aff5b source=n_3bc82a11f309 edge_type=supports target=n_c5ba371e7666\nt=0040 ADD_EDGE edge_id=e_0d65f23f0cfb source=n_9de9558d5b30 edge_type=supports target=n_17241ed89535\nt=0041 ADD_EDGE edge_id=e_fbf4cbadada3 source=n_17241ed89535 edge_type=supports target=n_eb036396ad43\nt=0042 ADD_EDGE edge_id=e_c689b38fd5b9 source=n_c5ba371e7666 edge_type=refutes target=n_5b2cc5389148\nt=0043 ADD_EDGE edge_id=e_32fb1e67adad source=n_ea40c00202de edge_type=refutes target=n_600b36033ab0\nt=0044 ADD_EDGE edge_id=e_8a54ef7dfcca source=n_8f4c939b54df edge_type=refutes target=n_43095dd2b2f3\nt=0045 ADD_EDGE edge_id=e_f1f01b3db45b source=n_eb036396ad43 edge_type=refutes target=n_dd8d370682a6\nt=0046 ADD_EDGE edge_id=e_db72ceca5140 source=n_e607fe43ecbf edge_type=supports target=n_b731458ba346\nt=0047 ADD_EDGE edge_id=e_418e96adf5f6 source=n_9de9558d5b30 edge_type=supports target=n_40529dddab88\nt=0048 ADD_EDGE edge_id=e_d5db22a8c758 source=n_e08a23a71932 edge_type=refutes target=n_4b399318bc92\nt=0049 ADD_EDGE edge_id=e_e6bdf74eac0f source=n_eb036396ad43 edge_type=supports target=n_5121712f985e\nt=0050 ADD_EDGE edge_id=e_18df59c5fd0b source=n_5121712f985e edge_type=refutes target=n_4031b44b4400\nt=0051 ADD_EDGE edge_id=e_7e73579cee1c source=n_17241ed89535 edge_type=supports target=n_cd2a8f01a3f0\nt=0052 ADD_EDGE edge_id=e_8643401a3931 source=n_5b2cc5389148 edge_type=supports target=n_a18bd696766e\nt=0053 ADD_EDGE edge_id=e_000f767dd945 source=n_eb036396ad43 edge_type=supports target=n_9386c39ce200\nt=0054 ADD_EDGE edge_id=e_7c3170bad6ac source=n_787c9c5529ed edge_type=refutes target=n_a2c45da82e6c\nt=0055 ADD_EDGE edge_id=e_07fa388c4819 source=n_c107eccbbbbf edge_type=supports target=n_ea40c00202de\nt=0056 ADD_EDGE edge_id=e_bfe72ef0605d source=n_b731458ba346 edge_type=supports target=n_787c9c5529ed\nt=0057 ADD_EDGE edge_id=e_1dfb054c8213 source=n_a2c45da82e6c edge_type=refutes target=n_3d6cc34bae9b\nt=0058 ADD_EDGE edge_id=e_adb55f286c73 source=n_e08a23a71932 edge_type=supports target=n_27dc1e84bd94\nt=0059 QUERY source=n_b20914ae5f4e target=n_3d6cc34bae9b\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2792,"provenance":{"base_record_id":"train-d10-007","dataset":"livegraph-deterministic-parity-v3","depth":10,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d10-007","split":"train","variant":"clean"},"record_seed":314098898872054840,"render_sha256":"b0bd611829b1e47f142c77bd1007c8c4cee40e801e0f4d8bc58f8ca2e012ef06","representation":"linear_trace","semantic_sha256":"a6575c9612bd832e305eda4f7215788d6b2a1ac86106194d7eae363259168d44"}
{"char_count":5084,"item_id":"train-d10-008::linear_trace","label":"TRUE","lexical_token_proxy_count":868,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_92ef61a5eabc node_type=claim\nt=0001 CREATE_NODE id=n_f63e3efbc4e3 node_type=claim\nt=0002 CREATE_NODE id=n_7c6a2c5d78d6 node_type=claim\nt=0003 CREATE_NODE id=n_bcf9f277367a node_type=claim\nt=0004 CREATE_NODE id=n_08987b8ad0d1 node_type=claim\nt=0005 CREATE_NODE id=n_3f3edf65ff92 node_type=claim\nt=0006 CREATE_NODE id=n_4048f4c0ae3d node_type=claim\nt=0007 CREATE_NODE id=n_0fb26d194c8d node_type=claim\nt=0008 CREATE_NODE id=n_fbbee81cabb8 node_type=claim\nt=0009 CREATE_NODE id=n_f9a67ace96f7 node_type=claim\nt=0010 CREATE_NODE id=n_1e937c51f254 node_type=claim\nt=0011 CREATE_NODE id=n_09976ed20d69 node_type=claim\nt=0012 CREATE_NODE id=n_e2eea6a6a015 node_type=claim\nt=0013 CREATE_NODE id=n_09142f234019 node_type=claim\nt=0014 CREATE_NODE id=n_63c3c81a346c node_type=claim\nt=0015 CREATE_NODE id=n_dd978b03e4ad node_type=claim\nt=0016 CREATE_NODE id=n_2bf0126deb4d node_type=claim\nt=0017 CREATE_NODE id=n_6aa14671ef66 node_type=claim\nt=0018 CREATE_NODE id=n_3b821059082e node_type=claim\nt=0019 CREATE_NODE id=n_4d1231fe82f6 node_type=claim\nt=0020 CREATE_NODE id=n_d5c4538c35aa node_type=claim\nt=0021 CREATE_NODE id=n_c685ec171e1a node_type=claim\nt=0022 CREATE_NODE id=n_c1a415ae3f37 node_type=claim\nt=0023 CREATE_NODE id=n_73fabee72de2 node_type=claim\nt=0024 CREATE_NODE id=n_d7661ee5e2a6 node_type=claim\nt=0025 CREATE_NODE id=n_be1d65f35621 node_type=claim\nt=0026 CREATE_NODE id=n_0bdd840f68b9 node_type=claim\nt=0027 CREATE_NODE id=n_549d2d34e287 node_type=claim\nt=0028 CREATE_NODE id=n_38c440cabf4e node_type=claim\nt=0029 CREATE_NODE id=n_8718989b6112 node_type=claim\nt=0030 ASSERT_ROOT node=n_38c440cabf4e value=TRUE\nt=0031 ADD_EDGE edge_id=e_9837e47bda0c source=n_fbbee81cabb8 edge_type=refutes target=n_d7661ee5e2a6\nt=0032 ADD_EDGE edge_id=e_85dbb8daae0f source=n_0bdd840f68b9 edge_type=supports target=n_08987b8ad0d1\nt=0033 ADD_EDGE edge_id=e_0d95b6db9796 source=n_d7661ee5e2a6 edge_type=supports target=n_6aa14671ef66\nt=0034 ADD_EDGE edge_id=e_43dab509661a source=n_fbbee81cabb8 edge_type=supports target=n_f9a67ace96f7\nt=0035 ADD_EDGE edge_id=e_c927536d3f1a source=n_92ef61a5eabc edge_type=refutes target=n_f63e3efbc4e3\nt=0036 ADD_EDGE edge_id=e_96ff3e5a0caf source=n_09976ed20d69 edge_type=refutes target=n_8718989b6112\nt=0037 ADD_EDGE edge_id=e_b925fa30a872 source=n_0bdd840f68b9 edge_type=refutes target=n_3f3edf65ff92\nt=0038 ADD_EDGE edge_id=e_cc4019bd2f51 source=n_bcf9f277367a edge_type=supports target=n_4d1231fe82f6\nt=0039 ADD_EDGE edge_id=e_bc8d5bf571c7 source=n_7c6a2c5d78d6 edge_type=supports target=n_09976ed20d69\nt=0040 ADD_EDGE edge_id=e_744180c3f0ae source=n_63c3c81a346c edge_type=refutes target=n_1e937c51f254\nt=0041 ADD_EDGE edge_id=e_caa16160d8ef source=n_fbbee81cabb8 edge_type=refutes target=n_63c3c81a346c\nt=0042 ADD_EDGE edge_id=e_ebf91718a205 source=n_63c3c81a346c edge_type=supports target=n_dd978b03e4ad\nt=0043 ADD_EDGE edge_id=e_9f3c3c3879b6 source=n_c685ec171e1a edge_type=refutes target=n_e2eea6a6a015\nt=0044 ADD_EDGE edge_id=e_486cb73cfe92 source=n_8718989b6112 edge_type=refutes target=n_0bdd840f68b9\nt=0045 ADD_EDGE edge_id=e_d82467636c6d source=n_d5c4538c35aa edge_type=supports target=n_92ef61a5eabc\nt=0046 ADD_EDGE edge_id=e_ff9460c4b19e source=n_63c3c81a346c edge_type=supports target=n_09142f234019\nt=0047 ADD_EDGE edge_id=e_1b4684d24624 source=n_f63e3efbc4e3 edge_type=refutes target=n_7c6a2c5d78d6\nt=0048 ADD_EDGE edge_id=e_3235018a991a source=n_38c440cabf4e edge_type=supports target=n_bcf9f277367a\nt=0049 ADD_EDGE edge_id=e_2078fd9ec564 source=n_f9a67ace96f7 edge_type=supports target=n_0fb26d194c8d\nt=0050 ADD_EDGE edge_id=e_83159d34c281 source=n_8718989b6112 edge_type=supports target=n_3b821059082e\nt=0051 ADD_EDGE edge_id=e_e38ff39be1ce source=n_09142f234019 edge_type=refutes target=n_73fabee72de2\nt=0052 ADD_EDGE edge_id=e_bf9b657e3092 source=n_73fabee72de2 edge_type=supports target=n_549d2d34e287\nt=0053 ADD_EDGE edge_id=e_60d4bdfd899e source=n_fbbee81cabb8 edge_type=refutes target=n_be1d65f35621\nt=0054 ADD_EDGE edge_id=e_549b47bfcfcf source=n_38c440cabf4e edge_type=refutes target=n_c1a415ae3f37\nt=0055 ADD_EDGE edge_id=e_87a9733e8909 source=n_0fb26d194c8d edge_type=refutes target=n_c685ec171e1a\nt=0056 ADD_EDGE edge_id=e_f5f569bd24e6 source=n_73fabee72de2 edge_type=supports target=n_4048f4c0ae3d\nt=0057 ADD_EDGE edge_id=e_7bb0692e3a69 source=n_3f3edf65ff92 edge_type=supports target=n_2bf0126deb4d\nt=0058 ADD_EDGE edge_id=e_3d10aefb110e source=n_4d1231fe82f6 edge_type=refutes target=n_d5c4538c35aa\nt=0059 QUERY source=n_38c440cabf4e target=n_3f3edf65ff92\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2788,"provenance":{"base_record_id":"train-d10-008","dataset":"livegraph-deterministic-parity-v3","depth":10,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d10-008","split":"train","variant":"clean"},"record_seed":526478024274603814,"render_sha256":"1f26aef51263b90464c531cba659fb47be2e37d6edb6ea70f9cca3a1ca9a7cfe","representation":"linear_trace","semantic_sha256":"6e358d2c7ebc6efcb8ac068ab8dba7abe4cd575f2fbebe3f390f91823b7856f0"}
{"char_count":5084,"item_id":"train-d10-009::linear_trace","label":"FALSE","lexical_token_proxy_count":868,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_0aacd113f5a7 node_type=claim\nt=0001 CREATE_NODE id=n_fb1a75d829f9 node_type=claim\nt=0002 CREATE_NODE id=n_196891428900 node_type=claim\nt=0003 CREATE_NODE id=n_92781a85c16f node_type=claim\nt=0004 CREATE_NODE id=n_4defa4022852 node_type=claim\nt=0005 CREATE_NODE id=n_2a04bb74513c node_type=claim\nt=0006 CREATE_NODE id=n_1b682d764c49 node_type=claim\nt=0007 CREATE_NODE id=n_cbabfb4fe58b node_type=claim\nt=0008 CREATE_NODE id=n_d8bad933458e node_type=claim\nt=0009 CREATE_NODE id=n_ca57597f8fd3 node_type=claim\nt=0010 CREATE_NODE id=n_0ff7b4a9625c node_type=claim\nt=0011 CREATE_NODE id=n_f0d3e808ee1d node_type=claim\nt=0012 CREATE_NODE id=n_879746a8908f node_type=claim\nt=0013 CREATE_NODE id=n_7388b515a214 node_type=claim\nt=0014 CREATE_NODE id=n_eed9b5baeabc node_type=claim\nt=0015 CREATE_NODE id=n_29086363ab1e node_type=claim\nt=0016 CREATE_NODE id=n_0328e27055da node_type=claim\nt=0017 CREATE_NODE id=n_5ae218dc0150 node_type=claim\nt=0018 CREATE_NODE id=n_b42bbee6d351 node_type=claim\nt=0019 CREATE_NODE id=n_04da6f56976b node_type=claim\nt=0020 CREATE_NODE id=n_d19732d17399 node_type=claim\nt=0021 CREATE_NODE id=n_9e25c0855bd1 node_type=claim\nt=0022 CREATE_NODE id=n_b4882d4c4cc6 node_type=claim\nt=0023 CREATE_NODE id=n_cd11b953da13 node_type=claim\nt=0024 CREATE_NODE id=n_aede0e15d27b node_type=claim\nt=0025 CREATE_NODE id=n_db4dfa64be59 node_type=claim\nt=0026 CREATE_NODE id=n_35db9cee23a2 node_type=claim\nt=0027 CREATE_NODE id=n_b317529a7209 node_type=claim\nt=0028 CREATE_NODE id=n_05e5ebe2ac15 node_type=claim\nt=0029 CREATE_NODE id=n_689395f788d1 node_type=claim\nt=0030 ASSERT_ROOT node=n_cbabfb4fe58b value=TRUE\nt=0031 ADD_EDGE edge_id=e_6807f3e77dce source=n_5ae218dc0150 edge_type=supports target=n_689395f788d1\nt=0032 ADD_EDGE edge_id=e_da745f1e96e8 source=n_d19732d17399 edge_type=refutes target=n_05e5ebe2ac15\nt=0033 ADD_EDGE edge_id=e_77de517ca226 source=n_879746a8908f edge_type=supports target=n_7388b515a214\nt=0034 ADD_EDGE edge_id=e_f41992f1975e source=n_196891428900 edge_type=refutes target=n_aede0e15d27b\nt=0035 ADD_EDGE edge_id=e_0ca1251fc4f3 source=n_0aacd113f5a7 edge_type=refutes target=n_f0d3e808ee1d\nt=0036 ADD_EDGE edge_id=e_98eedf74a189 source=n_35db9cee23a2 edge_type=supports target=n_879746a8908f\nt=0037 ADD_EDGE edge_id=e_83a123c06a0e source=n_0328e27055da edge_type=supports target=n_5ae218dc0150\nt=0038 ADD_EDGE edge_id=e_3fcfafd66dcc source=n_db4dfa64be59 edge_type=supports target=n_b42bbee6d351\nt=0039 ADD_EDGE edge_id=e_8d961d9d0d6d source=n_cbabfb4fe58b edge_type=refutes target=n_d19732d17399\nt=0040 ADD_EDGE edge_id=e_4a1ede263246 source=n_9e25c0855bd1 edge_type=refutes target=n_92781a85c16f\nt=0041 ADD_EDGE edge_id=e_1d502fb5af91 source=n_29086363ab1e edge_type=refutes target=n_2a04bb74513c\nt=0042 ADD_EDGE edge_id=e_921455b01e5d source=n_d19732d17399 edge_type=refutes target=n_4defa4022852\nt=0043 ADD_EDGE edge_id=e_cc17c8fc2e43 source=n_b4882d4c4cc6 edge_type=supports target=n_d8bad933458e\nt=0044 ADD_EDGE edge_id=e_45aa9337ebb1 source=n_05e5ebe2ac15 edge_type=refutes target=n_29086363ab1e\nt=0045 ADD_EDGE edge_id=e_a07f088d6446 source=n_29086363ab1e edge_type=supports target=n_ca57597f8fd3\nt=0046 ADD_EDGE edge_id=e_c2363ed526fc source=n_04da6f56976b edge_type=refutes target=n_db4dfa64be59\nt=0047 ADD_EDGE edge_id=e_85dad7f7ff1b source=n_0328e27055da edge_type=refutes target=n_35db9cee23a2\nt=0048 ADD_EDGE edge_id=e_cd18be5c549e source=n_0328e27055da edge_type=supports target=n_b4882d4c4cc6\nt=0049 ADD_EDGE edge_id=e_5d1bb68c8691 source=n_d8bad933458e edge_type=supports target=n_1b682d764c49\nt=0050 ADD_EDGE edge_id=e_bf247da4c715 source=n_cd11b953da13 edge_type=refutes target=n_b317529a7209\nt=0051 ADD_EDGE edge_id=e_51553c1bfa76 source=n_eed9b5baeabc edge_type=supports target=n_cd11b953da13\nt=0052 ADD_EDGE edge_id=e_68f1c1b6e31e source=n_5ae218dc0150 edge_type=supports target=n_fb1a75d829f9\nt=0053 ADD_EDGE edge_id=e_c7e66ef835b4 source=n_b4882d4c4cc6 edge_type=refutes target=n_04da6f56976b\nt=0054 ADD_EDGE edge_id=e_887b2f052091 source=n_0328e27055da edge_type=supports target=n_0aacd113f5a7\nt=0055 ADD_EDGE edge_id=e_1f887563f255 source=n_cd11b953da13 edge_type=refutes target=n_9e25c0855bd1\nt=0056 ADD_EDGE edge_id=e_4a5f7886b621 source=n_ca57597f8fd3 edge_type=supports target=n_196891428900\nt=0057 ADD_EDGE edge_id=e_725903b71148 source=n_cbabfb4fe58b edge_type=supports target=n_0ff7b4a9625c\nt=0058 ADD_EDGE edge_id=e_d167429ecbec source=n_aede0e15d27b edge_type=refutes target=n_eed9b5baeabc\nt=0059 QUERY source=n_cbabfb4fe58b target=n_92781a85c16f\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2788,"provenance":{"base_record_id":"train-d10-009","dataset":"livegraph-deterministic-parity-v3","depth":10,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d10-009","split":"train","variant":"clean"},"record_seed":823788620277784462,"render_sha256":"86e98dafb2b74de34b1cfd48c9034470a20ac360a9d8012acdd284b2f5eed154","representation":"linear_trace","semantic_sha256":"52edee8e4af23584a6310097f983843264975c670f4321e27155642b2de72119"}
{"char_count":5085,"item_id":"train-d10-010::linear_trace","label":"TRUE","lexical_token_proxy_count":868,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_d7f891fe878b node_type=claim\nt=0001 CREATE_NODE id=n_2985e75e78dd node_type=claim\nt=0002 CREATE_NODE id=n_149b2ce8f2e1 node_type=claim\nt=0003 CREATE_NODE id=n_c258865ce814 node_type=claim\nt=0004 CREATE_NODE id=n_215608ba1b60 node_type=claim\nt=0005 CREATE_NODE id=n_8de813c7f7e5 node_type=claim\nt=0006 CREATE_NODE id=n_39fef6d55d5c node_type=claim\nt=0007 CREATE_NODE id=n_933b16a30b52 node_type=claim\nt=0008 CREATE_NODE id=n_9e3bca5575ab node_type=claim\nt=0009 CREATE_NODE id=n_3aa5791bdc2e node_type=claim\nt=0010 CREATE_NODE id=n_9405c2a2c0e1 node_type=claim\nt=0011 CREATE_NODE id=n_009f4b4d96fa node_type=claim\nt=0012 CREATE_NODE id=n_e22a2ea0bab3 node_type=claim\nt=0013 CREATE_NODE id=n_6e142b65d893 node_type=claim\nt=0014 CREATE_NODE id=n_3749a82c1051 node_type=claim\nt=0015 CREATE_NODE id=n_6d713ad44f9c node_type=claim\nt=0016 CREATE_NODE id=n_1351bdaca3f9 node_type=claim\nt=0017 CREATE_NODE id=n_637fb33bdff7 node_type=claim\nt=0018 CREATE_NODE id=n_6a9daba1e4f2 node_type=claim\nt=0019 CREATE_NODE id=n_cf2e76e2a3b3 node_type=claim\nt=0020 CREATE_NODE id=n_99c7cf3c477f node_type=claim\nt=0021 CREATE_NODE id=n_7ca0df2d5985 node_type=claim\nt=0022 CREATE_NODE id=n_25fce4b2676b node_type=claim\nt=0023 CREATE_NODE id=n_fb85cadf363a node_type=claim\nt=0024 CREATE_NODE id=n_728025199c19 node_type=claim\nt=0025 CREATE_NODE id=n_da72eca215af node_type=claim\nt=0026 CREATE_NODE id=n_a2184ea97e29 node_type=claim\nt=0027 CREATE_NODE id=n_66d9d6126c54 node_type=claim\nt=0028 CREATE_NODE id=n_978f20acf848 node_type=claim\nt=0029 CREATE_NODE id=n_3a8f27abe125 node_type=claim\nt=0030 ASSERT_ROOT node=n_978f20acf848 value=FALSE\nt=0031 ADD_EDGE edge_id=e_7a7a93092b51 source=n_978f20acf848 edge_type=supports target=n_1351bdaca3f9\nt=0032 ADD_EDGE edge_id=e_9384e76229e8 source=n_215608ba1b60 edge_type=refutes target=n_6d713ad44f9c\nt=0033 ADD_EDGE edge_id=e_c384180d9ee4 source=n_978f20acf848 edge_type=supports target=n_66d9d6126c54\nt=0034 ADD_EDGE edge_id=e_303361d8fa7a source=n_728025199c19 edge_type=supports target=n_637fb33bdff7\nt=0035 ADD_EDGE edge_id=e_f99156a26e5c source=n_9405c2a2c0e1 edge_type=supports target=n_3749a82c1051\nt=0036 ADD_EDGE edge_id=e_f0551991adb7 source=n_25fce4b2676b edge_type=refutes target=n_99c7cf3c477f\nt=0037 ADD_EDGE edge_id=e_858ecdc13b50 source=n_215608ba1b60 edge_type=supports target=n_3a8f27abe125\nt=0038 ADD_EDGE edge_id=e_86c91750fec1 source=n_3aa5791bdc2e edge_type=supports target=n_fb85cadf363a\nt=0039 ADD_EDGE edge_id=e_bb39f5f80214 source=n_3749a82c1051 edge_type=supports target=n_cf2e76e2a3b3\nt=0040 ADD_EDGE edge_id=e_d5da7530174c source=n_1351bdaca3f9 edge_type=refutes target=n_3aa5791bdc2e\nt=0041 ADD_EDGE edge_id=e_757dd4de0f5e source=n_728025199c19 edge_type=supports target=n_6a9daba1e4f2\nt=0042 ADD_EDGE edge_id=e_b8696b7c4e5b source=n_728025199c19 edge_type=supports target=n_2985e75e78dd\nt=0043 ADD_EDGE edge_id=e_60064a6c2fc5 source=n_fb85cadf363a edge_type=refutes target=n_9e3bca5575ab\nt=0044 ADD_EDGE edge_id=e_eaddb7597c8c source=n_fb85cadf363a edge_type=refutes target=n_d7f891fe878b\nt=0045 ADD_EDGE edge_id=e_a2e90a815690 source=n_99c7cf3c477f edge_type=supports target=n_6e142b65d893\nt=0046 ADD_EDGE edge_id=e_186757afaff2 source=n_39fef6d55d5c edge_type=refutes target=n_9405c2a2c0e1\nt=0047 ADD_EDGE edge_id=e_8983377bb27d source=n_99c7cf3c477f edge_type=refutes target=n_933b16a30b52\nt=0048 ADD_EDGE edge_id=e_107006c06987 source=n_215608ba1b60 edge_type=refutes target=n_a2184ea97e29\nt=0049 ADD_EDGE edge_id=e_88ed7027fc58 source=n_39fef6d55d5c edge_type=refutes target=n_8de813c7f7e5\nt=0050 ADD_EDGE edge_id=e_0f862fa97e6b source=n_728025199c19 edge_type=refutes target=n_25fce4b2676b\nt=0051 ADD_EDGE edge_id=e_bdb6fa08a909 source=n_9e3bca5575ab edge_type=supports target=n_da72eca215af\nt=0052 ADD_EDGE edge_id=e_4eef6386d298 source=n_6d713ad44f9c edge_type=supports target=n_e22a2ea0bab3\nt=0053 ADD_EDGE edge_id=e_485dbb318e65 source=n_9e3bca5575ab edge_type=refutes target=n_c258865ce814\nt=0054 ADD_EDGE edge_id=e_721b0223f219 source=n_25fce4b2676b edge_type=refutes target=n_215608ba1b60\nt=0055 ADD_EDGE edge_id=e_a131f532f460 source=n_2985e75e78dd edge_type=refutes target=n_149b2ce8f2e1\nt=0056 ADD_EDGE edge_id=e_0cb50f124bc4 source=n_da72eca215af edge_type=supports target=n_009f4b4d96fa\nt=0057 ADD_EDGE edge_id=e_40310c76f7fc source=n_2985e75e78dd edge_type=refutes target=n_7ca0df2d5985\nt=0058 ADD_EDGE edge_id=e_c3d0b0c641ac source=n_009f4b4d96fa edge_type=supports target=n_39fef6d55d5c\nt=0059 QUERY source=n_978f20acf848 target=n_cf2e76e2a3b3\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2813,"provenance":{"base_record_id":"train-d10-010","dataset":"livegraph-deterministic-parity-v3","depth":10,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d10-010","split":"train","variant":"clean"},"record_seed":738510189965473686,"render_sha256":"1de9d909ca4d2012bc347e0bd699251edc1c7e8d748659f4d8726b25e570bd03","representation":"linear_trace","semantic_sha256":"9195c73c5fe1bd4b656db73f64836133f020c84ac4c5887eb52e4a4c102d73a4"}
{"char_count":5085,"item_id":"train-d10-011::linear_trace","label":"FALSE","lexical_token_proxy_count":868,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_7918244077b0 node_type=claim\nt=0001 CREATE_NODE id=n_0c8813355984 node_type=claim\nt=0002 CREATE_NODE id=n_4062725f313c node_type=claim\nt=0003 CREATE_NODE id=n_a6f5869166ab node_type=claim\nt=0004 CREATE_NODE id=n_46b833ecbeb7 node_type=claim\nt=0005 CREATE_NODE id=n_4ac8d8dcc393 node_type=claim\nt=0006 CREATE_NODE id=n_19d5b9ac374c node_type=claim\nt=0007 CREATE_NODE id=n_9e51d8b89c88 node_type=claim\nt=0008 CREATE_NODE id=n_9d36af614a07 node_type=claim\nt=0009 CREATE_NODE id=n_b0eab2e1a1fc node_type=claim\nt=0010 CREATE_NODE id=n_76c4277074a2 node_type=claim\nt=0011 CREATE_NODE id=n_441cbfbe174f node_type=claim\nt=0012 CREATE_NODE id=n_b07100765072 node_type=claim\nt=0013 CREATE_NODE id=n_d90adcc747cc node_type=claim\nt=0014 CREATE_NODE id=n_07383c70776d node_type=claim\nt=0015 CREATE_NODE id=n_432ca518388f node_type=claim\nt=0016 CREATE_NODE id=n_0e12381aa338 node_type=claim\nt=0017 CREATE_NODE id=n_bdcf57b41579 node_type=claim\nt=0018 CREATE_NODE id=n_acfe31598862 node_type=claim\nt=0019 CREATE_NODE id=n_deba5e159ea2 node_type=claim\nt=0020 CREATE_NODE id=n_c56a01effeff node_type=claim\nt=0021 CREATE_NODE id=n_1be15d1eb1b1 node_type=claim\nt=0022 CREATE_NODE id=n_1525823f7c98 node_type=claim\nt=0023 CREATE_NODE id=n_68031c83b596 node_type=claim\nt=0024 CREATE_NODE id=n_5543dbae7bed node_type=claim\nt=0025 CREATE_NODE id=n_c397d18045c3 node_type=claim\nt=0026 CREATE_NODE id=n_cedd65817ec9 node_type=claim\nt=0027 CREATE_NODE id=n_3fa580be5a1c node_type=claim\nt=0028 CREATE_NODE id=n_0d565a83e7e3 node_type=claim\nt=0029 CREATE_NODE id=n_8454765b215c node_type=claim\nt=0030 ASSERT_ROOT node=n_bdcf57b41579 value=FALSE\nt=0031 ADD_EDGE edge_id=e_a78d5cd0958a source=n_441cbfbe174f edge_type=refutes target=n_4062725f313c\nt=0032 ADD_EDGE edge_id=e_17a79a3ddd1e source=n_07383c70776d edge_type=refutes target=n_0c8813355984\nt=0033 ADD_EDGE edge_id=e_29c79ad804c7 source=n_acfe31598862 edge_type=supports target=n_c56a01effeff\nt=0034 ADD_EDGE edge_id=e_1b7e18915886 source=n_4ac8d8dcc393 edge_type=supports target=n_1525823f7c98\nt=0035 ADD_EDGE edge_id=e_f073c738a12f source=n_5543dbae7bed edge_type=refutes target=n_432ca518388f\nt=0036 ADD_EDGE edge_id=e_750b39189228 source=n_19d5b9ac374c edge_type=supports target=n_c397d18045c3\nt=0037 ADD_EDGE edge_id=e_031569b5860d source=n_19d5b9ac374c edge_type=supports target=n_7918244077b0\nt=0038 ADD_EDGE edge_id=e_e4dff7338db7 source=n_c397d18045c3 edge_type=supports target=n_5543dbae7bed\nt=0039 ADD_EDGE edge_id=e_bb280bf67b6b source=n_b0eab2e1a1fc edge_type=refutes target=n_4ac8d8dcc393\nt=0040 ADD_EDGE edge_id=e_488a63644ef2 source=n_46b833ecbeb7 edge_type=refutes target=n_d90adcc747cc\nt=0041 ADD_EDGE edge_id=e_f5c8da6f809d source=n_9d36af614a07 edge_type=refutes target=n_b07100765072\nt=0042 ADD_EDGE edge_id=e_81dc04be1d9d source=n_46b833ecbeb7 edge_type=refutes target=n_76c4277074a2\nt=0043 ADD_EDGE edge_id=e_0de365e3f2d1 source=n_46b833ecbeb7 edge_type=refutes target=n_9e51d8b89c88\nt=0044 ADD_EDGE edge_id=e_ed12694aa866 source=n_8454765b215c edge_type=supports target=n_cedd65817ec9\nt=0045 ADD_EDGE edge_id=e_abb5a8b61e15 source=n_0d565a83e7e3 edge_type=refutes target=n_68031c83b596\nt=0046 ADD_EDGE edge_id=e_68c415097af3 source=n_1525823f7c98 edge_type=supports target=n_0e12381aa338\nt=0047 ADD_EDGE edge_id=e_7fd7f0b5c6b2 source=n_d90adcc747cc edge_type=supports target=n_acfe31598862\nt=0048 ADD_EDGE edge_id=e_6391d7a3d8ba source=n_5543dbae7bed edge_type=refutes target=n_b0eab2e1a1fc\nt=0049 ADD_EDGE edge_id=e_f2d64de41f17 source=n_0d565a83e7e3 edge_type=refutes target=n_19d5b9ac374c\nt=0050 ADD_EDGE edge_id=e_712950eb73fc source=n_0e12381aa338 edge_type=supports target=n_441cbfbe174f\nt=0051 ADD_EDGE edge_id=e_a15270d1bce1 source=n_0e12381aa338 edge_type=refutes target=n_1be15d1eb1b1\nt=0052 ADD_EDGE edge_id=e_2b198606c373 source=n_b07100765072 edge_type=refutes target=n_3fa580be5a1c\nt=0053 ADD_EDGE edge_id=e_dba04b3c83d8 source=n_8454765b215c edge_type=supports target=n_9d36af614a07\nt=0054 ADD_EDGE edge_id=e_15d3dc8dd9bc source=n_cedd65817ec9 edge_type=supports target=n_a6f5869166ab\nt=0055 ADD_EDGE edge_id=e_5665fca8bb76 source=n_cedd65817ec9 edge_type=supports target=n_46b833ecbeb7\nt=0056 ADD_EDGE edge_id=e_8743a833fca1 source=n_bdcf57b41579 edge_type=supports target=n_0d565a83e7e3\nt=0057 ADD_EDGE edge_id=e_e440bc8a76e0 source=n_8454765b215c edge_type=supports target=n_deba5e159ea2\nt=0058 ADD_EDGE edge_id=e_8994f284fe89 source=n_3fa580be5a1c edge_type=refutes target=n_07383c70776d\nt=0059 QUERY source=n_bdcf57b41579 target=n_4062725f313c\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2807,"provenance":{"base_record_id":"train-d10-011","dataset":"livegraph-deterministic-parity-v3","depth":10,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d10-011","split":"train","variant":"clean"},"record_seed":762521713462652377,"render_sha256":"0322850205abe4c5c642aa44662eb43e4fc2748a9ae654da52f23ea4ee769d79","representation":"linear_trace","semantic_sha256":"3a1c382c8aefb4527ba9536cd87e79f6c210251706cfd18c79de8e1bccba1dcd"}
{"char_count":5084,"item_id":"train-d10-012::linear_trace","label":"TRUE","lexical_token_proxy_count":868,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_72ced793f59f node_type=claim\nt=0001 CREATE_NODE id=n_0add8167493d node_type=claim\nt=0002 CREATE_NODE id=n_1fff08d03344 node_type=claim\nt=0003 CREATE_NODE id=n_e55c1491693d node_type=claim\nt=0004 CREATE_NODE id=n_a714e9653749 node_type=claim\nt=0005 CREATE_NODE id=n_cfed4d49c544 node_type=claim\nt=0006 CREATE_NODE id=n_bfadde249162 node_type=claim\nt=0007 CREATE_NODE id=n_9855cbdf990f node_type=claim\nt=0008 CREATE_NODE id=n_e419d49c9ccd node_type=claim\nt=0009 CREATE_NODE id=n_5fcd646534f1 node_type=claim\nt=0010 CREATE_NODE id=n_ad582d4e18a6 node_type=claim\nt=0011 CREATE_NODE id=n_e49e07731afa node_type=claim\nt=0012 CREATE_NODE id=n_613727512df2 node_type=claim\nt=0013 CREATE_NODE id=n_ece5a933e8a8 node_type=claim\nt=0014 CREATE_NODE id=n_bbc94dcd11ec node_type=claim\nt=0015 CREATE_NODE id=n_aa11f884f28f node_type=claim\nt=0016 CREATE_NODE id=n_826ec09bd541 node_type=claim\nt=0017 CREATE_NODE id=n_d87e2d55f14b node_type=claim\nt=0018 CREATE_NODE id=n_606b62ee350d node_type=claim\nt=0019 CREATE_NODE id=n_ad830f49ccbe node_type=claim\nt=0020 CREATE_NODE id=n_e07daea1051a node_type=claim\nt=0021 CREATE_NODE id=n_8e4a99ed3a39 node_type=claim\nt=0022 CREATE_NODE id=n_fbdefcf1cd8e node_type=claim\nt=0023 CREATE_NODE id=n_b8bd295c6c0d node_type=claim\nt=0024 CREATE_NODE id=n_f724b9f9b9c2 node_type=claim\nt=0025 CREATE_NODE id=n_01daf14a6c92 node_type=claim\nt=0026 CREATE_NODE id=n_6f9cc2e00ca2 node_type=claim\nt=0027 CREATE_NODE id=n_45f1bbfb767f node_type=claim\nt=0028 CREATE_NODE id=n_902c67ed5dd3 node_type=claim\nt=0029 CREATE_NODE id=n_9eccaa0916b4 node_type=claim\nt=0030 ASSERT_ROOT node=n_606b62ee350d value=TRUE\nt=0031 ADD_EDGE edge_id=e_8df479f6ad99 source=n_bfadde249162 edge_type=refutes target=n_8e4a99ed3a39\nt=0032 ADD_EDGE edge_id=e_3179c8b7a8c3 source=n_6f9cc2e00ca2 edge_type=supports target=n_ece5a933e8a8\nt=0033 ADD_EDGE edge_id=e_440befbaec45 source=n_902c67ed5dd3 edge_type=refutes target=n_6f9cc2e00ca2\nt=0034 ADD_EDGE edge_id=e_ae4f88203ce1 source=n_902c67ed5dd3 edge_type=refutes target=n_fbdefcf1cd8e\nt=0035 ADD_EDGE edge_id=e_9b355f1bea6e source=n_0add8167493d edge_type=refutes target=n_45f1bbfb767f\nt=0036 ADD_EDGE edge_id=e_9dee5de2d6d6 source=n_01daf14a6c92 edge_type=refutes target=n_d87e2d55f14b\nt=0037 ADD_EDGE edge_id=e_0f277dca570b source=n_5fcd646534f1 edge_type=refutes target=n_f724b9f9b9c2\nt=0038 ADD_EDGE edge_id=e_c1464fc57c4d source=n_01daf14a6c92 edge_type=supports target=n_e49e07731afa\nt=0039 ADD_EDGE edge_id=e_859e24fed510 source=n_f724b9f9b9c2 edge_type=supports target=n_e07daea1051a\nt=0040 ADD_EDGE edge_id=e_af0eaef7115f source=n_fbdefcf1cd8e edge_type=refutes target=n_ad582d4e18a6\nt=0041 ADD_EDGE edge_id=e_b3df4721f01b source=n_6f9cc2e00ca2 edge_type=supports target=n_01daf14a6c92\nt=0042 ADD_EDGE edge_id=e_40125abfc0df source=n_e49e07731afa edge_type=supports target=n_ad830f49ccbe\nt=0043 ADD_EDGE edge_id=e_6dbfc74d1f85 source=n_cfed4d49c544 edge_type=refutes target=n_613727512df2\nt=0044 ADD_EDGE edge_id=e_a7385b573aba source=n_bfadde249162 edge_type=supports target=n_e55c1491693d\nt=0045 ADD_EDGE edge_id=e_cbe580d9d360 source=n_9eccaa0916b4 edge_type=refutes target=n_bfadde249162\nt=0046 ADD_EDGE edge_id=e_05ed1d549d6b source=n_e07daea1051a edge_type=supports target=n_1fff08d03344\nt=0047 ADD_EDGE edge_id=e_6bb992cb83b8 source=n_cfed4d49c544 edge_type=supports target=n_902c67ed5dd3\nt=0048 ADD_EDGE edge_id=e_c09cb7c3859f source=n_f724b9f9b9c2 edge_type=supports target=n_aa11f884f28f\nt=0049 ADD_EDGE edge_id=e_540606bf5cf6 source=n_8e4a99ed3a39 edge_type=refutes target=n_72ced793f59f\nt=0050 ADD_EDGE edge_id=e_e1199b96039b source=n_1fff08d03344 edge_type=supports target=n_0add8167493d\nt=0051 ADD_EDGE edge_id=e_aebdb0ed5938 source=n_ad830f49ccbe edge_type=refutes target=n_9855cbdf990f\nt=0052 ADD_EDGE edge_id=e_52faf000317b source=n_606b62ee350d edge_type=supports target=n_b8bd295c6c0d\nt=0053 ADD_EDGE edge_id=e_e1aa3082cf76 source=n_613727512df2 edge_type=refutes target=n_826ec09bd541\nt=0054 ADD_EDGE edge_id=e_6a0e1c3b7d75 source=n_45f1bbfb767f edge_type=supports target=n_9eccaa0916b4\nt=0055 ADD_EDGE edge_id=e_d519ba3943b6 source=n_bfadde249162 edge_type=supports target=n_bbc94dcd11ec\nt=0056 ADD_EDGE edge_id=e_97bf2c079d74 source=n_b8bd295c6c0d edge_type=supports target=n_5fcd646534f1\nt=0057 ADD_EDGE edge_id=e_9cebf5063896 source=n_ad830f49ccbe edge_type=refutes target=n_e419d49c9ccd\nt=0058 ADD_EDGE edge_id=e_07e378772390 source=n_902c67ed5dd3 edge_type=refutes target=n_a714e9653749\nt=0059 QUERY source=n_606b62ee350d target=n_8e4a99ed3a39\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2754,"provenance":{"base_record_id":"train-d10-012","dataset":"livegraph-deterministic-parity-v3","depth":10,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d10-012","split":"train","variant":"clean"},"record_seed":838352713617004862,"render_sha256":"7e09e34fe772dddb56a13143905f747766259618bff1eaf2cda7b0dcd09f687b","representation":"linear_trace","semantic_sha256":"561e5931819180560c01fc883f9ccdb63e0da29c489c90fde47b0bda59e6a696"}
{"char_count":5084,"item_id":"train-d10-013::linear_trace","label":"FALSE","lexical_token_proxy_count":868,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_b8bc44a06c2c node_type=claim\nt=0001 CREATE_NODE id=n_24e829d629bf node_type=claim\nt=0002 CREATE_NODE id=n_883ebc88af8f node_type=claim\nt=0003 CREATE_NODE id=n_b4c237625420 node_type=claim\nt=0004 CREATE_NODE id=n_c170119bcca2 node_type=claim\nt=0005 CREATE_NODE id=n_c6046b2539c1 node_type=claim\nt=0006 CREATE_NODE id=n_4855322054d2 node_type=claim\nt=0007 CREATE_NODE id=n_04fa9fa6ab3e node_type=claim\nt=0008 CREATE_NODE id=n_620c3e4c6ac1 node_type=claim\nt=0009 CREATE_NODE id=n_9001af61d675 node_type=claim\nt=0010 CREATE_NODE id=n_a7d6a5debf5a node_type=claim\nt=0011 CREATE_NODE id=n_821b2d2e5cfc node_type=claim\nt=0012 CREATE_NODE id=n_2ff687be3ec7 node_type=claim\nt=0013 CREATE_NODE id=n_e2fe5a728bb9 node_type=claim\nt=0014 CREATE_NODE id=n_f0f0e484b72f node_type=claim\nt=0015 CREATE_NODE id=n_76f28d0d1a01 node_type=claim\nt=0016 CREATE_NODE id=n_a2ac0a79231d node_type=claim\nt=0017 CREATE_NODE id=n_19369d450441 node_type=claim\nt=0018 CREATE_NODE id=n_daa7b5583baf node_type=claim\nt=0019 CREATE_NODE id=n_fccd628f2178 node_type=claim\nt=0020 CREATE_NODE id=n_62be0905793a node_type=claim\nt=0021 CREATE_NODE id=n_6e059eeedb68 node_type=claim\nt=0022 CREATE_NODE id=n_251696aed4b4 node_type=claim\nt=0023 CREATE_NODE id=n_ac30509c2023 node_type=claim\nt=0024 CREATE_NODE id=n_07ea03c394c9 node_type=claim\nt=0025 CREATE_NODE id=n_b06f3d341597 node_type=claim\nt=0026 CREATE_NODE id=n_f8a2b74f4f2c node_type=claim\nt=0027 CREATE_NODE id=n_4a31bccffb4a node_type=claim\nt=0028 CREATE_NODE id=n_17a04962ccb1 node_type=claim\nt=0029 CREATE_NODE id=n_efb994581e18 node_type=claim\nt=0030 ASSERT_ROOT node=n_17a04962ccb1 value=TRUE\nt=0031 ADD_EDGE edge_id=e_acf4c88f9114 source=n_4a31bccffb4a edge_type=refutes target=n_b8bc44a06c2c\nt=0032 ADD_EDGE edge_id=e_bed02bc8a2a6 source=n_2ff687be3ec7 edge_type=refutes target=n_821b2d2e5cfc\nt=0033 ADD_EDGE edge_id=e_b9075b25a5e8 source=n_2ff687be3ec7 edge_type=refutes target=n_a2ac0a79231d\nt=0034 ADD_EDGE edge_id=e_fb054e9e7d8e source=n_17a04962ccb1 edge_type=supports target=n_9001af61d675\nt=0035 ADD_EDGE edge_id=e_9fd85393356b source=n_b8bc44a06c2c edge_type=refutes target=n_19369d450441\nt=0036 ADD_EDGE edge_id=e_e0d0daf4cc5e source=n_c6046b2539c1 edge_type=supports target=n_daa7b5583baf\nt=0037 ADD_EDGE edge_id=e_00fc546153de source=n_2ff687be3ec7 edge_type=supports target=n_883ebc88af8f\nt=0038 ADD_EDGE edge_id=e_62eb1607fc96 source=n_b4c237625420 edge_type=supports target=n_fccd628f2178\nt=0039 ADD_EDGE edge_id=e_8f0738782be1 source=n_04fa9fa6ab3e edge_type=refutes target=n_a7d6a5debf5a\nt=0040 ADD_EDGE edge_id=e_09d91d2aa8fb source=n_2ff687be3ec7 edge_type=refutes target=n_efb994581e18\nt=0041 ADD_EDGE edge_id=e_6a8f39bcff7b source=n_24e829d629bf edge_type=refutes target=n_620c3e4c6ac1\nt=0042 ADD_EDGE edge_id=e_0cf0ece353fb source=n_24e829d629bf edge_type=refutes target=n_ac30509c2023\nt=0043 ADD_EDGE edge_id=e_2f2fc98dcfcb source=n_c6046b2539c1 edge_type=refutes target=n_6e059eeedb68\nt=0044 ADD_EDGE edge_id=e_9a320954fcf1 source=n_2ff687be3ec7 edge_type=refutes target=n_c6046b2539c1\nt=0045 ADD_EDGE edge_id=e_2827ce67552d source=n_2ff687be3ec7 edge_type=supports target=n_24e829d629bf\nt=0046 ADD_EDGE edge_id=e_932674ccccd3 source=n_ac30509c2023 edge_type=refutes target=n_c170119bcca2\nt=0047 ADD_EDGE edge_id=e_3e977fa5ca31 source=n_19369d450441 edge_type=supports target=n_b06f3d341597\nt=0048 ADD_EDGE edge_id=e_a0445eaa8108 source=n_4855322054d2 edge_type=supports target=n_f8a2b74f4f2c\nt=0049 ADD_EDGE edge_id=e_a9d957a07ec6 source=n_19369d450441 edge_type=supports target=n_62be0905793a\nt=0050 ADD_EDGE edge_id=e_71e2e7895cf0 source=n_b06f3d341597 edge_type=supports target=n_4855322054d2\nt=0051 ADD_EDGE edge_id=e_4e16235b649f source=n_9001af61d675 edge_type=supports target=n_e2fe5a728bb9\nt=0052 ADD_EDGE edge_id=e_1918934d9963 source=n_daa7b5583baf edge_type=supports target=n_04fa9fa6ab3e\nt=0053 ADD_EDGE edge_id=e_b649fc7c9e63 source=n_6e059eeedb68 edge_type=refutes target=n_07ea03c394c9\nt=0054 ADD_EDGE edge_id=e_0601c3edef34 source=n_fccd628f2178 edge_type=supports target=n_4a31bccffb4a\nt=0055 ADD_EDGE edge_id=e_8b3034f75071 source=n_e2fe5a728bb9 edge_type=supports target=n_251696aed4b4\nt=0056 ADD_EDGE edge_id=e_b193ff67d37c source=n_fccd628f2178 edge_type=refutes target=n_f0f0e484b72f\nt=0057 ADD_EDGE edge_id=e_fe8e2936fa4d source=n_4855322054d2 edge_type=supports target=n_76f28d0d1a01\nt=0058 ADD_EDGE edge_id=e_715a2e90f03d source=n_251696aed4b4 edge_type=refutes target=n_b4c237625420\nt=0059 QUERY source=n_17a04962ccb1 target=n_4855322054d2\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2809,"provenance":{"base_record_id":"train-d10-013","dataset":"livegraph-deterministic-parity-v3","depth":10,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d10-013","split":"train","variant":"clean"},"record_seed":836830379666268293,"render_sha256":"eb98557360788c204b88cc1e9f92d0051d24f7e35167f43bed18762f707bf929","representation":"linear_trace","semantic_sha256":"e73e6d61469870ea4f44c23e8b8ac9834b1a8241262379880429fb566d5560aa"}
{"char_count":5085,"item_id":"train-d10-014::linear_trace","label":"TRUE","lexical_token_proxy_count":868,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_36f94d4f11b7 node_type=claim\nt=0001 CREATE_NODE id=n_50c5ee2c52a7 node_type=claim\nt=0002 CREATE_NODE id=n_7f8f3cad4df8 node_type=claim\nt=0003 CREATE_NODE id=n_85f08141ef4b node_type=claim\nt=0004 CREATE_NODE id=n_52028049340d node_type=claim\nt=0005 CREATE_NODE id=n_519e0982d805 node_type=claim\nt=0006 CREATE_NODE id=n_05345a227a56 node_type=claim\nt=0007 CREATE_NODE id=n_9cce99fd6950 node_type=claim\nt=0008 CREATE_NODE id=n_8def422ea863 node_type=claim\nt=0009 CREATE_NODE id=n_1c98dde43b45 node_type=claim\nt=0010 CREATE_NODE id=n_388cbff8cd0f node_type=claim\nt=0011 CREATE_NODE id=n_e8f3b9384f88 node_type=claim\nt=0012 CREATE_NODE id=n_51da7b511aa8 node_type=claim\nt=0013 CREATE_NODE id=n_2399a6788c95 node_type=claim\nt=0014 CREATE_NODE id=n_74f73dd26db6 node_type=claim\nt=0015 CREATE_NODE id=n_d5bf83abc993 node_type=claim\nt=0016 CREATE_NODE id=n_0a98b46244b2 node_type=claim\nt=0017 CREATE_NODE id=n_7442507a1e6b node_type=claim\nt=0018 CREATE_NODE id=n_8eb852e63fe0 node_type=claim\nt=0019 CREATE_NODE id=n_3b304bd27ec3 node_type=claim\nt=0020 CREATE_NODE id=n_0e5b741ccf9a node_type=claim\nt=0021 CREATE_NODE id=n_b221fbb71502 node_type=claim\nt=0022 CREATE_NODE id=n_15780b163fa7 node_type=claim\nt=0023 CREATE_NODE id=n_40e52831eb97 node_type=claim\nt=0024 CREATE_NODE id=n_1fd43b2f2619 node_type=claim\nt=0025 CREATE_NODE id=n_eec523488a99 node_type=claim\nt=0026 CREATE_NODE id=n_a5d84dec2ecf node_type=claim\nt=0027 CREATE_NODE id=n_57ba3031373f node_type=claim\nt=0028 CREATE_NODE id=n_e6ad68ab4fd4 node_type=claim\nt=0029 CREATE_NODE id=n_f5965a0f8be5 node_type=claim\nt=0030 ASSERT_ROOT node=n_9cce99fd6950 value=FALSE\nt=0031 ADD_EDGE edge_id=e_7f3de8d56767 source=n_8def422ea863 edge_type=supports target=n_8eb852e63fe0\nt=0032 ADD_EDGE edge_id=e_b15cc5d70e14 source=n_57ba3031373f edge_type=refutes target=n_74f73dd26db6\nt=0033 ADD_EDGE edge_id=e_a3bd86634f2e source=n_b221fbb71502 edge_type=supports target=n_388cbff8cd0f\nt=0034 ADD_EDGE edge_id=e_963965df4f4f source=n_7442507a1e6b edge_type=refutes target=n_0e5b741ccf9a\nt=0035 ADD_EDGE edge_id=e_f4418ad6bcd4 source=n_f5965a0f8be5 edge_type=supports target=n_7442507a1e6b\nt=0036 ADD_EDGE edge_id=e_13a10cb6812b source=n_0a98b46244b2 edge_type=supports target=n_a5d84dec2ecf\nt=0037 ADD_EDGE edge_id=e_93d9a83ae553 source=n_0e5b741ccf9a edge_type=refutes target=n_40e52831eb97\nt=0038 ADD_EDGE edge_id=e_1d23fea3ca42 source=n_40e52831eb97 edge_type=refutes target=n_52028049340d\nt=0039 ADD_EDGE edge_id=e_7ded6c3b370a source=n_7f8f3cad4df8 edge_type=supports target=n_d5bf83abc993\nt=0040 ADD_EDGE edge_id=e_5b3e5ba1febb source=n_0e5b741ccf9a edge_type=supports target=n_2399a6788c95\nt=0041 ADD_EDGE edge_id=e_e6f349f826d4 source=n_d5bf83abc993 edge_type=refutes target=n_f5965a0f8be5\nt=0042 ADD_EDGE edge_id=e_60bf20fd6253 source=n_52028049340d edge_type=supports target=n_e6ad68ab4fd4\nt=0043 ADD_EDGE edge_id=e_470a37a1129e source=n_388cbff8cd0f edge_type=supports target=n_8def422ea863\nt=0044 ADD_EDGE edge_id=e_a228a78485fd source=n_50c5ee2c52a7 edge_type=refutes target=n_1fd43b2f2619\nt=0045 ADD_EDGE edge_id=e_562257940dc9 source=n_e8f3b9384f88 edge_type=supports target=n_1c98dde43b45\nt=0046 ADD_EDGE edge_id=e_809d7ea7033e source=n_05345a227a56 edge_type=refutes target=n_b221fbb71502\nt=0047 ADD_EDGE edge_id=e_3354ea989e1e source=n_d5bf83abc993 edge_type=supports target=n_36f94d4f11b7\nt=0048 ADD_EDGE edge_id=e_f1471546b2a4 source=n_0a98b46244b2 edge_type=refutes target=n_51da7b511aa8\nt=0049 ADD_EDGE edge_id=e_957d5c8ffe06 source=n_9cce99fd6950 edge_type=refutes target=n_e8f3b9384f88\nt=0050 ADD_EDGE edge_id=e_7d6587833263 source=n_1fd43b2f2619 edge_type=supports target=n_3b304bd27ec3\nt=0051 ADD_EDGE edge_id=e_45d3cfff8555 source=n_50c5ee2c52a7 edge_type=supports target=n_eec523488a99\nt=0052 ADD_EDGE edge_id=e_7ee44dfdd060 source=n_1c98dde43b45 edge_type=supports target=n_7f8f3cad4df8\nt=0053 ADD_EDGE edge_id=e_3e5a33ce8ca3 source=n_e8f3b9384f88 edge_type=refutes target=n_15780b163fa7\nt=0054 ADD_EDGE edge_id=e_a518ea0f58c5 source=n_0a98b46244b2 edge_type=supports target=n_57ba3031373f\nt=0055 ADD_EDGE edge_id=e_7ce50e3c13d0 source=n_57ba3031373f edge_type=refutes target=n_05345a227a56\nt=0056 ADD_EDGE edge_id=e_b3b20444d5db source=n_e6ad68ab4fd4 edge_type=refutes target=n_519e0982d805\nt=0057 ADD_EDGE edge_id=e_bde664a81b9c source=n_b221fbb71502 edge_type=refutes target=n_85f08141ef4b\nt=0058 ADD_EDGE edge_id=e_606103534167 source=n_51da7b511aa8 edge_type=refutes target=n_50c5ee2c52a7\nt=0059 QUERY source=n_9cce99fd6950 target=n_e6ad68ab4fd4\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2808,"provenance":{"base_record_id":"train-d10-014","dataset":"livegraph-deterministic-parity-v3","depth":10,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d10-014","split":"train","variant":"clean"},"record_seed":558596053301204292,"render_sha256":"bbc98403d56527952ed5e1e5ca754193b04d3e8f9b5891dd09f137734df7f696","representation":"linear_trace","semantic_sha256":"e7359db54a5aa5bce232210c1f4d96b4dae6c0f6ed2dc48de4cc2b12858ec96e"}
{"char_count":5085,"item_id":"train-d10-015::linear_trace","label":"FALSE","lexical_token_proxy_count":868,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_4a8d448b7193 node_type=claim\nt=0001 CREATE_NODE id=n_49d30bc73b57 node_type=claim\nt=0002 CREATE_NODE id=n_fa97710fdc1d node_type=claim\nt=0003 CREATE_NODE id=n_3f297e39522e node_type=claim\nt=0004 CREATE_NODE id=n_c769a957c47f node_type=claim\nt=0005 CREATE_NODE id=n_ad25ab1c0526 node_type=claim\nt=0006 CREATE_NODE id=n_0fda30c723be node_type=claim\nt=0007 CREATE_NODE id=n_0b1a7dd216a7 node_type=claim\nt=0008 CREATE_NODE id=n_8be93e9af8a3 node_type=claim\nt=0009 CREATE_NODE id=n_c7a6f1c4d189 node_type=claim\nt=0010 CREATE_NODE id=n_c68283e349d3 node_type=claim\nt=0011 CREATE_NODE id=n_e253e866b276 node_type=claim\nt=0012 CREATE_NODE id=n_785702fb6b26 node_type=claim\nt=0013 CREATE_NODE id=n_110651fe792f node_type=claim\nt=0014 CREATE_NODE id=n_2bf87e432760 node_type=claim\nt=0015 CREATE_NODE id=n_192d95962ef1 node_type=claim\nt=0016 CREATE_NODE id=n_eed223b97124 node_type=claim\nt=0017 CREATE_NODE id=n_277583fb895e node_type=claim\nt=0018 CREATE_NODE id=n_96da7ddef8ca node_type=claim\nt=0019 CREATE_NODE id=n_262d29b43fd3 node_type=claim\nt=0020 CREATE_NODE id=n_445ac5791314 node_type=claim\nt=0021 CREATE_NODE id=n_caf4656ab2a6 node_type=claim\nt=0022 CREATE_NODE id=n_1663e9f6854d node_type=claim\nt=0023 CREATE_NODE id=n_ee6c7e4ac61b node_type=claim\nt=0024 CREATE_NODE id=n_e75085e0f66e node_type=claim\nt=0025 CREATE_NODE id=n_a754affdd91a node_type=claim\nt=0026 CREATE_NODE id=n_7b9556a3fdd8 node_type=claim\nt=0027 CREATE_NODE id=n_b6c4e4b84d77 node_type=claim\nt=0028 CREATE_NODE id=n_78a6aff38d10 node_type=claim\nt=0029 CREATE_NODE id=n_d69f5f7ec151 node_type=claim\nt=0030 ASSERT_ROOT node=n_e75085e0f66e value=FALSE\nt=0031 ADD_EDGE edge_id=e_c5cf72ad4997 source=n_ee6c7e4ac61b edge_type=supports target=n_c68283e349d3\nt=0032 ADD_EDGE edge_id=e_673e893b4562 source=n_445ac5791314 edge_type=refutes target=n_c7a6f1c4d189\nt=0033 ADD_EDGE edge_id=e_0a7dde1c5c1e source=n_caf4656ab2a6 edge_type=supports target=n_78a6aff38d10\nt=0034 ADD_EDGE edge_id=e_2baa59fc68b6 source=n_785702fb6b26 edge_type=refutes target=n_eed223b97124\nt=0035 ADD_EDGE edge_id=e_f3427e710591 source=n_e75085e0f66e edge_type=supports target=n_ee6c7e4ac61b\nt=0036 ADD_EDGE edge_id=e_83cd3c9c46a6 source=n_1663e9f6854d edge_type=supports target=n_192d95962ef1\nt=0037 ADD_EDGE edge_id=e_35aeb96f11eb source=n_4a8d448b7193 edge_type=refutes target=n_49d30bc73b57\nt=0038 ADD_EDGE edge_id=e_09d30dd6fbf2 source=n_785702fb6b26 edge_type=refutes target=n_8be93e9af8a3\nt=0039 ADD_EDGE edge_id=e_4e8ebd9a4457 source=n_262d29b43fd3 edge_type=refutes target=n_445ac5791314\nt=0040 ADD_EDGE edge_id=e_0092ee68b37c source=n_c769a957c47f edge_type=refutes target=n_2bf87e432760\nt=0041 ADD_EDGE edge_id=e_f5c4f772e540 source=n_7b9556a3fdd8 edge_type=supports target=n_785702fb6b26\nt=0042 ADD_EDGE edge_id=e_47607f192d67 source=n_49d30bc73b57 edge_type=refutes target=n_ad25ab1c0526\nt=0043 ADD_EDGE edge_id=e_22752052f691 source=n_78a6aff38d10 edge_type=supports target=n_0b1a7dd216a7\nt=0044 ADD_EDGE edge_id=e_e30299538be2 source=n_b6c4e4b84d77 edge_type=supports target=n_4a8d448b7193\nt=0045 ADD_EDGE edge_id=e_0901fd0c71a5 source=n_e75085e0f66e edge_type=supports target=n_a754affdd91a\nt=0046 ADD_EDGE edge_id=e_9ee885d09cc3 source=n_785702fb6b26 edge_type=refutes target=n_fa97710fdc1d\nt=0047 ADD_EDGE edge_id=e_9ae73b0f7317 source=n_7b9556a3fdd8 edge_type=refutes target=n_c769a957c47f\nt=0048 ADD_EDGE edge_id=e_889796e74054 source=n_8be93e9af8a3 edge_type=supports target=n_d69f5f7ec151\nt=0049 ADD_EDGE edge_id=e_3089767cf97a source=n_445ac5791314 edge_type=supports target=n_b6c4e4b84d77\nt=0050 ADD_EDGE edge_id=e_6c971dc1ab59 source=n_c68283e349d3 edge_type=refutes target=n_262d29b43fd3\nt=0051 ADD_EDGE edge_id=e_7cb502a59c69 source=n_785702fb6b26 edge_type=supports target=n_caf4656ab2a6\nt=0052 ADD_EDGE edge_id=e_164c865bc976 source=n_785702fb6b26 edge_type=supports target=n_3f297e39522e\nt=0053 ADD_EDGE edge_id=e_8636b93e1f1c source=n_ad25ab1c0526 edge_type=refutes target=n_0fda30c723be\nt=0054 ADD_EDGE edge_id=e_a84902d34bd3 source=n_7b9556a3fdd8 edge_type=refutes target=n_1663e9f6854d\nt=0055 ADD_EDGE edge_id=e_62ef7a1fa8c2 source=n_785702fb6b26 edge_type=refutes target=n_e253e866b276\nt=0056 ADD_EDGE edge_id=e_e60dfeca04bf source=n_0fda30c723be edge_type=refutes target=n_277583fb895e\nt=0057 ADD_EDGE edge_id=e_a9a6f2ff1ecb source=n_c68283e349d3 edge_type=supports target=n_96da7ddef8ca\nt=0058 ADD_EDGE edge_id=e_2dc9d3c2fa3b source=n_4a8d448b7193 edge_type=supports target=n_110651fe792f\nt=0059 QUERY source=n_e75085e0f66e target=n_277583fb895e\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2829,"provenance":{"base_record_id":"train-d10-015","dataset":"livegraph-deterministic-parity-v3","depth":10,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d10-015","split":"train","variant":"clean"},"record_seed":501367783692276036,"render_sha256":"2c6710dd6f254995c11d7d83dbe5b26230fa8d11a3386eb05a16cdcd947f3743","representation":"linear_trace","semantic_sha256":"71ead6d0bc1eadcb91702f43ae227042589c7787db824c364a966c210b44dc55"}
{"char_count":5084,"item_id":"train-d10-016::linear_trace","label":"TRUE","lexical_token_proxy_count":868,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_dbbb2ca6774f node_type=claim\nt=0001 CREATE_NODE id=n_6b21623aa8ac node_type=claim\nt=0002 CREATE_NODE id=n_b882c6c40f73 node_type=claim\nt=0003 CREATE_NODE id=n_1a6e1bae7af0 node_type=claim\nt=0004 CREATE_NODE id=n_61cef73de7bc node_type=claim\nt=0005 CREATE_NODE id=n_9f2c361d75f7 node_type=claim\nt=0006 CREATE_NODE id=n_38cae24a910e node_type=claim\nt=0007 CREATE_NODE id=n_4f57af85aaaa node_type=claim\nt=0008 CREATE_NODE id=n_717c1d3c1ad0 node_type=claim\nt=0009 CREATE_NODE id=n_f6e6ba7e8222 node_type=claim\nt=0010 CREATE_NODE id=n_d38dcde92f12 node_type=claim\nt=0011 CREATE_NODE id=n_a6ed6775053f node_type=claim\nt=0012 CREATE_NODE id=n_fc28e128b179 node_type=claim\nt=0013 CREATE_NODE id=n_b9b8d4dc6c95 node_type=claim\nt=0014 CREATE_NODE id=n_a1c76f17d1d0 node_type=claim\nt=0015 CREATE_NODE id=n_4279ac12fffe node_type=claim\nt=0016 CREATE_NODE id=n_98c4b413ed9b node_type=claim\nt=0017 CREATE_NODE id=n_5e83ce5bc3dc node_type=claim\nt=0018 CREATE_NODE id=n_81b295684ae3 node_type=claim\nt=0019 CREATE_NODE id=n_5a5fc96b22b0 node_type=claim\nt=0020 CREATE_NODE id=n_d1a13e2ff267 node_type=claim\nt=0021 CREATE_NODE id=n_ca9384a0da05 node_type=claim\nt=0022 CREATE_NODE id=n_73be056fae29 node_type=claim\nt=0023 CREATE_NODE id=n_de8271f15488 node_type=claim\nt=0024 CREATE_NODE id=n_bf408afdfe14 node_type=claim\nt=0025 CREATE_NODE id=n_7bf513347c8a node_type=claim\nt=0026 CREATE_NODE id=n_7f0fd35b6833 node_type=claim\nt=0027 CREATE_NODE id=n_665a3cc6b80b node_type=claim\nt=0028 CREATE_NODE id=n_4798969d8e03 node_type=claim\nt=0029 CREATE_NODE id=n_807fb1ffc39d node_type=claim\nt=0030 ASSERT_ROOT node=n_5e83ce5bc3dc value=TRUE\nt=0031 ADD_EDGE edge_id=e_ae220d0d0c8e source=n_f6e6ba7e8222 edge_type=supports target=n_61cef73de7bc\nt=0032 ADD_EDGE edge_id=e_c3cc14977561 source=n_a6ed6775053f edge_type=refutes target=n_717c1d3c1ad0\nt=0033 ADD_EDGE edge_id=e_67899ba10c03 source=n_4279ac12fffe edge_type=refutes target=n_73be056fae29\nt=0034 ADD_EDGE edge_id=e_dced46b67a4e source=n_7bf513347c8a edge_type=supports target=n_665a3cc6b80b\nt=0035 ADD_EDGE edge_id=e_5b04b3e95025 source=n_dbbb2ca6774f edge_type=supports target=n_1a6e1bae7af0\nt=0036 ADD_EDGE edge_id=e_bfb8599a01b1 source=n_73be056fae29 edge_type=supports target=n_d38dcde92f12\nt=0037 ADD_EDGE edge_id=e_475a670fa2d8 source=n_4798969d8e03 edge_type=supports target=n_6b21623aa8ac\nt=0038 ADD_EDGE edge_id=e_222c413173d1 source=n_73be056fae29 edge_type=refutes target=n_a1c76f17d1d0\nt=0039 ADD_EDGE edge_id=e_3891bca1ab23 source=n_a1c76f17d1d0 edge_type=supports target=n_98c4b413ed9b\nt=0040 ADD_EDGE edge_id=e_bf3a1024ee65 source=n_38cae24a910e edge_type=supports target=n_4279ac12fffe\nt=0041 ADD_EDGE edge_id=e_6ae39df6630b source=n_717c1d3c1ad0 edge_type=refutes target=n_4f57af85aaaa\nt=0042 ADD_EDGE edge_id=e_501553d07f75 source=n_5e83ce5bc3dc edge_type=refutes target=n_38cae24a910e\nt=0043 ADD_EDGE edge_id=e_a11d9eadaff2 source=n_7bf513347c8a edge_type=refutes target=n_5a5fc96b22b0\nt=0044 ADD_EDGE edge_id=e_3a70e29569a4 source=n_a6ed6775053f edge_type=supports target=n_7bf513347c8a\nt=0045 ADD_EDGE edge_id=e_4e9ddf776607 source=n_61cef73de7bc edge_type=refutes target=n_fc28e128b179\nt=0046 ADD_EDGE edge_id=e_4d41553ec3eb source=n_81b295684ae3 edge_type=supports target=n_dbbb2ca6774f\nt=0047 ADD_EDGE edge_id=e_2a6a184db14c source=n_fc28e128b179 edge_type=refutes target=n_4798969d8e03\nt=0048 ADD_EDGE edge_id=e_cef581453bb1 source=n_bf408afdfe14 edge_type=refutes target=n_807fb1ffc39d\nt=0049 ADD_EDGE edge_id=e_a49eb58b13fb source=n_a6ed6775053f edge_type=supports target=n_bf408afdfe14\nt=0050 ADD_EDGE edge_id=e_bbc30d24ec2f source=n_bf408afdfe14 edge_type=supports target=n_81b295684ae3\nt=0051 ADD_EDGE edge_id=e_0daab8d6529d source=n_b882c6c40f73 edge_type=supports target=n_7f0fd35b6833\nt=0052 ADD_EDGE edge_id=e_a2610049937a source=n_b882c6c40f73 edge_type=refutes target=n_a6ed6775053f\nt=0053 ADD_EDGE edge_id=e_63b8ef3707e9 source=n_b882c6c40f73 edge_type=refutes target=n_b9b8d4dc6c95\nt=0054 ADD_EDGE edge_id=e_30c1bb60af56 source=n_fc28e128b179 edge_type=supports target=n_d1a13e2ff267\nt=0055 ADD_EDGE edge_id=e_3f26db48a43d source=n_fc28e128b179 edge_type=refutes target=n_de8271f15488\nt=0056 ADD_EDGE edge_id=e_b367c86b1ddf source=n_a1c76f17d1d0 edge_type=supports target=n_f6e6ba7e8222\nt=0057 ADD_EDGE edge_id=e_0a7d8cfde238 source=n_bf408afdfe14 edge_type=refutes target=n_ca9384a0da05\nt=0058 ADD_EDGE edge_id=e_5c4618e1b4a8 source=n_6b21623aa8ac edge_type=refutes target=n_9f2c361d75f7\nt=0059 QUERY source=n_5e83ce5bc3dc target=n_9f2c361d75f7\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2785,"provenance":{"base_record_id":"train-d10-016","dataset":"livegraph-deterministic-parity-v3","depth":10,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d10-016","split":"train","variant":"clean"},"record_seed":347407452629902376,"render_sha256":"77fa506c33ad751ef7bcfa720d0f31b71b0d2e2187331a8e74ce06fda351cb19","representation":"linear_trace","semantic_sha256":"4cc2643723e9e4b18b822ab8c4dfeede8ed6a7b1401e8900fde1b42f5cf47ad4"}
{"char_count":5084,"item_id":"train-d10-017::linear_trace","label":"FALSE","lexical_token_proxy_count":868,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_a842f50685e9 node_type=claim\nt=0001 CREATE_NODE id=n_d9c5b21f3f6d node_type=claim\nt=0002 CREATE_NODE id=n_4b9a9789378f node_type=claim\nt=0003 CREATE_NODE id=n_5d0e28dbdff1 node_type=claim\nt=0004 CREATE_NODE id=n_7dbb1582cf41 node_type=claim\nt=0005 CREATE_NODE id=n_6752963a186f node_type=claim\nt=0006 CREATE_NODE id=n_d47b78e52490 node_type=claim\nt=0007 CREATE_NODE id=n_2a101c90a5f8 node_type=claim\nt=0008 CREATE_NODE id=n_8e0ff9fda2b9 node_type=claim\nt=0009 CREATE_NODE id=n_67955861e3bb node_type=claim\nt=0010 CREATE_NODE id=n_3ad5d06a533e node_type=claim\nt=0011 CREATE_NODE id=n_b5549c9aac38 node_type=claim\nt=0012 CREATE_NODE id=n_0e9cfb8f511b node_type=claim\nt=0013 CREATE_NODE id=n_afa8f0f9a384 node_type=claim\nt=0014 CREATE_NODE id=n_b97ab3a7557d node_type=claim\nt=0015 CREATE_NODE id=n_ede39d349c71 node_type=claim\nt=0016 CREATE_NODE id=n_6d1b1e4a5889 node_type=claim\nt=0017 CREATE_NODE id=n_bc7019ef7bda node_type=claim\nt=0018 CREATE_NODE id=n_4ff7f929172f node_type=claim\nt=0019 CREATE_NODE id=n_ed01fb328e1f node_type=claim\nt=0020 CREATE_NODE id=n_934bd66a3870 node_type=claim\nt=0021 CREATE_NODE id=n_32eb013286b3 node_type=claim\nt=0022 CREATE_NODE id=n_d937a9329bca node_type=claim\nt=0023 CREATE_NODE id=n_ef55613f8b01 node_type=claim\nt=0024 CREATE_NODE id=n_36e25c46fa0b node_type=claim\nt=0025 CREATE_NODE id=n_8c96301bc057 node_type=claim\nt=0026 CREATE_NODE id=n_fabda82e7f40 node_type=claim\nt=0027 CREATE_NODE id=n_182b187ac119 node_type=claim\nt=0028 CREATE_NODE id=n_83d79ffb14d8 node_type=claim\nt=0029 CREATE_NODE id=n_7083d2d097c4 node_type=claim\nt=0030 ASSERT_ROOT node=n_0e9cfb8f511b value=TRUE\nt=0031 ADD_EDGE edge_id=e_ff7ba24cd4f9 source=n_934bd66a3870 edge_type=supports target=n_8e0ff9fda2b9\nt=0032 ADD_EDGE edge_id=e_4117031d6f87 source=n_2a101c90a5f8 edge_type=refutes target=n_32eb013286b3\nt=0033 ADD_EDGE edge_id=e_3bd0fe120eec source=n_4ff7f929172f edge_type=supports target=n_a842f50685e9\nt=0034 ADD_EDGE edge_id=e_231ea5d712f5 source=n_4b9a9789378f edge_type=refutes target=n_6d1b1e4a5889\nt=0035 ADD_EDGE edge_id=e_bf42720ad55d source=n_ede39d349c71 edge_type=supports target=n_afa8f0f9a384\nt=0036 ADD_EDGE edge_id=e_050f1e8dd105 source=n_afa8f0f9a384 edge_type=refutes target=n_d9c5b21f3f6d\nt=0037 ADD_EDGE edge_id=e_da24b7bb81db source=n_ed01fb328e1f edge_type=refutes target=n_ef55613f8b01\nt=0038 ADD_EDGE edge_id=e_b657c8e07765 source=n_4b9a9789378f edge_type=supports target=n_ed01fb328e1f\nt=0039 ADD_EDGE edge_id=e_f673f5ca97b0 source=n_3ad5d06a533e edge_type=supports target=n_6752963a186f\nt=0040 ADD_EDGE edge_id=e_90058dceb203 source=n_ef55613f8b01 edge_type=refutes target=n_b97ab3a7557d\nt=0041 ADD_EDGE edge_id=e_807444787704 source=n_6752963a186f edge_type=refutes target=n_934bd66a3870\nt=0042 ADD_EDGE edge_id=e_4ead93ace499 source=n_4ff7f929172f edge_type=refutes target=n_5d0e28dbdff1\nt=0043 ADD_EDGE edge_id=e_56c4115bd96a source=n_4ff7f929172f edge_type=supports target=n_bc7019ef7bda\nt=0044 ADD_EDGE edge_id=e_a75d58676fc8 source=n_a842f50685e9 edge_type=supports target=n_7083d2d097c4\nt=0045 ADD_EDGE edge_id=e_a265bfdde688 source=n_934bd66a3870 edge_type=refutes target=n_182b187ac119\nt=0046 ADD_EDGE edge_id=e_21f37e03ca68 source=n_32eb013286b3 edge_type=supports target=n_ede39d349c71\nt=0047 ADD_EDGE edge_id=e_2e751ee547db source=n_d937a9329bca edge_type=refutes target=n_2a101c90a5f8\nt=0048 ADD_EDGE edge_id=e_07dc452baa63 source=n_934bd66a3870 edge_type=supports target=n_67955861e3bb\nt=0049 ADD_EDGE edge_id=e_34cf3e9a746f source=n_ed01fb328e1f edge_type=supports target=n_36e25c46fa0b\nt=0050 ADD_EDGE edge_id=e_46ff94057957 source=n_0e9cfb8f511b edge_type=refutes target=n_7dbb1582cf41\nt=0051 ADD_EDGE edge_id=e_448e90e93dbe source=n_7dbb1582cf41 edge_type=refutes target=n_3ad5d06a533e\nt=0052 ADD_EDGE edge_id=e_baf974f828a0 source=n_ed01fb328e1f edge_type=supports target=n_b5549c9aac38\nt=0053 ADD_EDGE edge_id=e_127c95434262 source=n_67955861e3bb edge_type=refutes target=n_d47b78e52490\nt=0054 ADD_EDGE edge_id=e_8c99c9fc7577 source=n_4b9a9789378f edge_type=supports target=n_83d79ffb14d8\nt=0055 ADD_EDGE edge_id=e_c33836bcb73a source=n_4b9a9789378f edge_type=supports target=n_4ff7f929172f\nt=0056 ADD_EDGE edge_id=e_a6413a285f4b source=n_a842f50685e9 edge_type=refutes target=n_8c96301bc057\nt=0057 ADD_EDGE edge_id=e_ecbfeeb84b7e source=n_67955861e3bb edge_type=supports target=n_d937a9329bca\nt=0058 ADD_EDGE edge_id=e_9800f9d1fceb source=n_36e25c46fa0b edge_type=refutes target=n_fabda82e7f40\nt=0059 QUERY source=n_0e9cfb8f511b target=n_afa8f0f9a384\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2826,"provenance":{"base_record_id":"train-d10-017","dataset":"livegraph-deterministic-parity-v3","depth":10,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d10-017","split":"train","variant":"clean"},"record_seed":111122645176612740,"render_sha256":"d549a28c699e62d20bd2b414c507cebd67a3df2a31b37b2da5ddc97c0e60bddc","representation":"linear_trace","semantic_sha256":"d00a886431207981c8a409e1dfb2f87670ed3b4b3de1280a7b0459fd2994bd35"}
{"char_count":5085,"item_id":"train-d10-018::linear_trace","label":"TRUE","lexical_token_proxy_count":868,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_b3338d0f5cc5 node_type=claim\nt=0001 CREATE_NODE id=n_b5bba558dee7 node_type=claim\nt=0002 CREATE_NODE id=n_c42c563fe232 node_type=claim\nt=0003 CREATE_NODE id=n_25f2773c4d58 node_type=claim\nt=0004 CREATE_NODE id=n_374455772ad2 node_type=claim\nt=0005 CREATE_NODE id=n_276bedb9199e node_type=claim\nt=0006 CREATE_NODE id=n_e00b005f836f node_type=claim\nt=0007 CREATE_NODE id=n_2da76c5ea6cd node_type=claim\nt=0008 CREATE_NODE id=n_d8f00fc3f221 node_type=claim\nt=0009 CREATE_NODE id=n_9b971cd54d0f node_type=claim\nt=0010 CREATE_NODE id=n_766c39ac5d21 node_type=claim\nt=0011 CREATE_NODE id=n_d451272dfae1 node_type=claim\nt=0012 CREATE_NODE id=n_608fe88da7c9 node_type=claim\nt=0013 CREATE_NODE id=n_fe400efdfef4 node_type=claim\nt=0014 CREATE_NODE id=n_8798ea9e9020 node_type=claim\nt=0015 CREATE_NODE id=n_23e799ad49ec node_type=claim\nt=0016 CREATE_NODE id=n_971cf2a9f43d node_type=claim\nt=0017 CREATE_NODE id=n_ec5e410e7015 node_type=claim\nt=0018 CREATE_NODE id=n_349d9c7c20e6 node_type=claim\nt=0019 CREATE_NODE id=n_655a9bfb177b node_type=claim\nt=0020 CREATE_NODE id=n_7d086c2e2c3c node_type=claim\nt=0021 CREATE_NODE id=n_84d9ff49b510 node_type=claim\nt=0022 CREATE_NODE id=n_71d10d40c95b node_type=claim\nt=0023 CREATE_NODE id=n_a38c8025afee node_type=claim\nt=0024 CREATE_NODE id=n_083bceefcf0f node_type=claim\nt=0025 CREATE_NODE id=n_5cb142aaf782 node_type=claim\nt=0026 CREATE_NODE id=n_3447ee13d58a node_type=claim\nt=0027 CREATE_NODE id=n_295e1489aaae node_type=claim\nt=0028 CREATE_NODE id=n_1f4ce8b3f105 node_type=claim\nt=0029 CREATE_NODE id=n_7bfdd759d7ae node_type=claim\nt=0030 ASSERT_ROOT node=n_71d10d40c95b value=FALSE\nt=0031 ADD_EDGE edge_id=e_11480df34a9a source=n_9b971cd54d0f edge_type=supports target=n_8798ea9e9020\nt=0032 ADD_EDGE edge_id=e_e0eccca58393 source=n_766c39ac5d21 edge_type=refutes target=n_b3338d0f5cc5\nt=0033 ADD_EDGE edge_id=e_0405a31c72f3 source=n_374455772ad2 edge_type=refutes target=n_25f2773c4d58\nt=0034 ADD_EDGE edge_id=e_9ac9d1b4a80a source=n_374455772ad2 edge_type=supports target=n_ec5e410e7015\nt=0035 ADD_EDGE edge_id=e_6aa204fa01fb source=n_655a9bfb177b edge_type=refutes target=n_a38c8025afee\nt=0036 ADD_EDGE edge_id=e_fc1e0a57150c source=n_b5bba558dee7 edge_type=refutes target=n_276bedb9199e\nt=0037 ADD_EDGE edge_id=e_2034ef282f83 source=n_a38c8025afee edge_type=supports target=n_2da76c5ea6cd\nt=0038 ADD_EDGE edge_id=e_3a5f9e02c5c2 source=n_84d9ff49b510 edge_type=refutes target=n_5cb142aaf782\nt=0039 ADD_EDGE edge_id=e_8ad25d6f0e9e source=n_766c39ac5d21 edge_type=supports target=n_7bfdd759d7ae\nt=0040 ADD_EDGE edge_id=e_490fa9c1b49c source=n_276bedb9199e edge_type=supports target=n_d8f00fc3f221\nt=0041 ADD_EDGE edge_id=e_9a64f71a7c06 source=n_9b971cd54d0f edge_type=refutes target=n_d451272dfae1\nt=0042 ADD_EDGE edge_id=e_aace732a6c00 source=n_766c39ac5d21 edge_type=supports target=n_fe400efdfef4\nt=0043 ADD_EDGE edge_id=e_8506df5362f1 source=n_349d9c7c20e6 edge_type=refutes target=n_7d086c2e2c3c\nt=0044 ADD_EDGE edge_id=e_90d803f11f62 source=n_84d9ff49b510 edge_type=supports target=n_374455772ad2\nt=0045 ADD_EDGE edge_id=e_c3039cb29a3a source=n_8798ea9e9020 edge_type=refutes target=n_295e1489aaae\nt=0046 ADD_EDGE edge_id=e_9a142f8757a9 source=n_7bfdd759d7ae edge_type=refutes target=n_b5bba558dee7\nt=0047 ADD_EDGE edge_id=e_d5ac0d626ccb source=n_23e799ad49ec edge_type=refutes target=n_3447ee13d58a\nt=0048 ADD_EDGE edge_id=e_91368cebced5 source=n_5cb142aaf782 edge_type=refutes target=n_083bceefcf0f\nt=0049 ADD_EDGE edge_id=e_848044c70e98 source=n_c42c563fe232 edge_type=supports target=n_971cf2a9f43d\nt=0050 ADD_EDGE edge_id=e_7025ec832737 source=n_8798ea9e9020 edge_type=supports target=n_349d9c7c20e6\nt=0051 ADD_EDGE edge_id=e_6c976d0d4416 source=n_c42c563fe232 edge_type=refutes target=n_655a9bfb177b\nt=0052 ADD_EDGE edge_id=e_666659604d5a source=n_7d086c2e2c3c edge_type=supports target=n_c42c563fe232\nt=0053 ADD_EDGE edge_id=e_69543917fc51 source=n_5cb142aaf782 edge_type=supports target=n_608fe88da7c9\nt=0054 ADD_EDGE edge_id=e_9079c92a7686 source=n_3447ee13d58a edge_type=supports target=n_9b971cd54d0f\nt=0055 ADD_EDGE edge_id=e_3e9a49d599e3 source=n_84d9ff49b510 edge_type=supports target=n_766c39ac5d21\nt=0056 ADD_EDGE edge_id=e_cbb6a791e83f source=n_608fe88da7c9 edge_type=refutes target=n_e00b005f836f\nt=0057 ADD_EDGE edge_id=e_5e6f601cd0e0 source=n_71d10d40c95b edge_type=refutes target=n_23e799ad49ec\nt=0058 ADD_EDGE edge_id=e_7d668f99338d source=n_2da76c5ea6cd edge_type=supports target=n_1f4ce8b3f105\nt=0059 QUERY source=n_71d10d40c95b target=n_2da76c5ea6cd\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2810,"provenance":{"base_record_id":"train-d10-018","dataset":"livegraph-deterministic-parity-v3","depth":10,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d10-018","split":"train","variant":"clean"},"record_seed":261692499480293065,"render_sha256":"05cfb3a5e4a2a2e670904d9e71a89eb80dc12f84de415f9fd10df6aeac1d6bf1","representation":"linear_trace","semantic_sha256":"5ad630f1c741b1f34001bd086869a7469df51a4bf0a1c436ae990d016a36bb4b"}
{"char_count":5085,"item_id":"train-d10-019::linear_trace","label":"FALSE","lexical_token_proxy_count":868,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_1752b2d53ccd node_type=claim\nt=0001 CREATE_NODE id=n_729215cd39f5 node_type=claim\nt=0002 CREATE_NODE id=n_3d7e507a6905 node_type=claim\nt=0003 CREATE_NODE id=n_fbf74aa7237d node_type=claim\nt=0004 CREATE_NODE id=n_04fc5bcf24bf node_type=claim\nt=0005 CREATE_NODE id=n_633b8b96a903 node_type=claim\nt=0006 CREATE_NODE id=n_bc7b9e199f1e node_type=claim\nt=0007 CREATE_NODE id=n_364e72ad2456 node_type=claim\nt=0008 CREATE_NODE id=n_5397906d8fbb node_type=claim\nt=0009 CREATE_NODE id=n_4a612612ba3f node_type=claim\nt=0010 CREATE_NODE id=n_b054f88661e0 node_type=claim\nt=0011 CREATE_NODE id=n_21953999acea node_type=claim\nt=0012 CREATE_NODE id=n_b991718a4c88 node_type=claim\nt=0013 CREATE_NODE id=n_9858408f0068 node_type=claim\nt=0014 CREATE_NODE id=n_9fee310226df node_type=claim\nt=0015 CREATE_NODE id=n_b28039648f24 node_type=claim\nt=0016 CREATE_NODE id=n_2edc8b3efa93 node_type=claim\nt=0017 CREATE_NODE id=n_26821e2b16f2 node_type=claim\nt=0018 CREATE_NODE id=n_3fc56634388d node_type=claim\nt=0019 CREATE_NODE id=n_2b92e8a9a82d node_type=claim\nt=0020 CREATE_NODE id=n_9debc40f0d15 node_type=claim\nt=0021 CREATE_NODE id=n_b8cf579dd4d7 node_type=claim\nt=0022 CREATE_NODE id=n_8263f26b97f8 node_type=claim\nt=0023 CREATE_NODE id=n_975de1da8b2d node_type=claim\nt=0024 CREATE_NODE id=n_61a6a5b55a39 node_type=claim\nt=0025 CREATE_NODE id=n_23602344ec5e node_type=claim\nt=0026 CREATE_NODE id=n_a843ab80bf55 node_type=claim\nt=0027 CREATE_NODE id=n_2cf1107fdaa1 node_type=claim\nt=0028 CREATE_NODE id=n_5b7501f34970 node_type=claim\nt=0029 CREATE_NODE id=n_7725137f8b4a node_type=claim\nt=0030 ASSERT_ROOT node=n_975de1da8b2d value=FALSE\nt=0031 ADD_EDGE edge_id=e_643bf50643c5 source=n_9fee310226df edge_type=supports target=n_2cf1107fdaa1\nt=0032 ADD_EDGE edge_id=e_b13bfb9535bd source=n_5397906d8fbb edge_type=refutes target=n_2edc8b3efa93\nt=0033 ADD_EDGE edge_id=e_f12527b8ff86 source=n_a843ab80bf55 edge_type=supports target=n_4a612612ba3f\nt=0034 ADD_EDGE edge_id=e_7a2884e2940b source=n_b054f88661e0 edge_type=refutes target=n_5b7501f34970\nt=0035 ADD_EDGE edge_id=e_be2d62c4abdb source=n_9858408f0068 edge_type=refutes target=n_b991718a4c88\nt=0036 ADD_EDGE edge_id=e_f6995ea03a13 source=n_5b7501f34970 edge_type=supports target=n_8263f26b97f8\nt=0037 ADD_EDGE edge_id=e_76864e1e6fc2 source=n_fbf74aa7237d edge_type=supports target=n_04fc5bcf24bf\nt=0038 ADD_EDGE edge_id=e_bb3b7e0969c1 source=n_3d7e507a6905 edge_type=supports target=n_a843ab80bf55\nt=0039 ADD_EDGE edge_id=e_b4deec4f910c source=n_2cf1107fdaa1 edge_type=refutes target=n_9858408f0068\nt=0040 ADD_EDGE edge_id=e_df4e2b796f29 source=n_5397906d8fbb edge_type=refutes target=n_b8cf579dd4d7\nt=0041 ADD_EDGE edge_id=e_722c31324891 source=n_b8cf579dd4d7 edge_type=supports target=n_61a6a5b55a39\nt=0042 ADD_EDGE edge_id=e_13595c36bd31 source=n_8263f26b97f8 edge_type=supports target=n_3fc56634388d\nt=0043 ADD_EDGE edge_id=e_fc4f95fdd114 source=n_5b7501f34970 edge_type=refutes target=n_633b8b96a903\nt=0044 ADD_EDGE edge_id=e_1c19436456d4 source=n_b991718a4c88 edge_type=refutes target=n_21953999acea\nt=0045 ADD_EDGE edge_id=e_243a1600e4b3 source=n_5b7501f34970 edge_type=refutes target=n_5397906d8fbb\nt=0046 ADD_EDGE edge_id=e_7b4f5b3cc876 source=n_b8cf579dd4d7 edge_type=refutes target=n_23602344ec5e\nt=0047 ADD_EDGE edge_id=e_874d145b529c source=n_b28039648f24 edge_type=supports target=n_729215cd39f5\nt=0048 ADD_EDGE edge_id=e_20c80695c10e source=n_04fc5bcf24bf edge_type=supports target=n_9fee310226df\nt=0049 ADD_EDGE edge_id=e_eedfe6cfb982 source=n_633b8b96a903 edge_type=supports target=n_9debc40f0d15\nt=0050 ADD_EDGE edge_id=e_e9f51abe5461 source=n_b054f88661e0 edge_type=refutes target=n_26821e2b16f2\nt=0051 ADD_EDGE edge_id=e_084069db138a source=n_5397906d8fbb edge_type=refutes target=n_bc7b9e199f1e\nt=0052 ADD_EDGE edge_id=e_64fdace6e897 source=n_a843ab80bf55 edge_type=supports target=n_b28039648f24\nt=0053 ADD_EDGE edge_id=e_ea6219095593 source=n_b28039648f24 edge_type=refutes target=n_7725137f8b4a\nt=0054 ADD_EDGE edge_id=e_041850830350 source=n_b991718a4c88 edge_type=supports target=n_3d7e507a6905\nt=0055 ADD_EDGE edge_id=e_e9087d86bc3a source=n_2b92e8a9a82d edge_type=refutes target=n_364e72ad2456\nt=0056 ADD_EDGE edge_id=e_bc19cd069b0d source=n_5397906d8fbb edge_type=supports target=n_2b92e8a9a82d\nt=0057 ADD_EDGE edge_id=e_8918f5d1c0fb source=n_3d7e507a6905 edge_type=refutes target=n_1752b2d53ccd\nt=0058 ADD_EDGE edge_id=e_fed18059d406 source=n_975de1da8b2d edge_type=supports target=n_fbf74aa7237d\nt=0059 QUERY source=n_975de1da8b2d target=n_729215cd39f5\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2834,"provenance":{"base_record_id":"train-d10-019","dataset":"livegraph-deterministic-parity-v3","depth":10,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d10-019","split":"train","variant":"clean"},"record_seed":296285783263134749,"render_sha256":"6d7fac9c4e7e5bbb0129b910b691d13242a0ec58da90b4414a7aa510f4060e8a","representation":"linear_trace","semantic_sha256":"e08bd74158aac5e3984e3feea7a686101a6a8204ad2a0ed7184d50fca8104802"}
{"char_count":5084,"item_id":"train-d10-020::linear_trace","label":"TRUE","lexical_token_proxy_count":868,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_9bd7d26615f9 node_type=claim\nt=0001 CREATE_NODE id=n_059f0ceb1473 node_type=claim\nt=0002 CREATE_NODE id=n_ec732d806a43 node_type=claim\nt=0003 CREATE_NODE id=n_8a299656b9c2 node_type=claim\nt=0004 CREATE_NODE id=n_eeb20ff2a9c0 node_type=claim\nt=0005 CREATE_NODE id=n_54ba8bea5a8a node_type=claim\nt=0006 CREATE_NODE id=n_70d870e2e204 node_type=claim\nt=0007 CREATE_NODE id=n_d9a15077a385 node_type=claim\nt=0008 CREATE_NODE id=n_d67e15ada709 node_type=claim\nt=0009 CREATE_NODE id=n_d6431b4e9454 node_type=claim\nt=0010 CREATE_NODE id=n_7c2ec1629011 node_type=claim\nt=0011 CREATE_NODE id=n_a6e819e65e8b node_type=claim\nt=0012 CREATE_NODE id=n_d805fdbf2311 node_type=claim\nt=0013 CREATE_NODE id=n_821ee97e340a node_type=claim\nt=0014 CREATE_NODE id=n_9f2003aa15d9 node_type=claim\nt=0015 CREATE_NODE id=n_fc6dfe2d8ae4 node_type=claim\nt=0016 CREATE_NODE id=n_7137e2115f88 node_type=claim\nt=0017 CREATE_NODE id=n_e0d46ddbbcbf node_type=claim\nt=0018 CREATE_NODE id=n_02ffb7c2259a node_type=claim\nt=0019 CREATE_NODE id=n_a425490c881e node_type=claim\nt=0020 CREATE_NODE id=n_b4662c26ae4f node_type=claim\nt=0021 CREATE_NODE id=n_81c1703d3ef7 node_type=claim\nt=0022 CREATE_NODE id=n_671f627f03d8 node_type=claim\nt=0023 CREATE_NODE id=n_8e9ded9df4a9 node_type=claim\nt=0024 CREATE_NODE id=n_74d9df086c42 node_type=claim\nt=0025 CREATE_NODE id=n_608f8371fa8a node_type=claim\nt=0026 CREATE_NODE id=n_15410a5f0905 node_type=claim\nt=0027 CREATE_NODE id=n_2cce0ddf0c39 node_type=claim\nt=0028 CREATE_NODE id=n_58162f0256a8 node_type=claim\nt=0029 CREATE_NODE id=n_fcfffa19b621 node_type=claim\nt=0030 ASSERT_ROOT node=n_d67e15ada709 value=TRUE\nt=0031 ADD_EDGE edge_id=e_6d259ec1319d source=n_02ffb7c2259a edge_type=refutes target=n_7c2ec1629011\nt=0032 ADD_EDGE edge_id=e_380c813e164b source=n_58162f0256a8 edge_type=supports target=n_eeb20ff2a9c0\nt=0033 ADD_EDGE edge_id=e_8a65b57fdb84 source=n_eeb20ff2a9c0 edge_type=supports target=n_671f627f03d8\nt=0034 ADD_EDGE edge_id=e_351eb3a299a5 source=n_8a299656b9c2 edge_type=supports target=n_d805fdbf2311\nt=0035 ADD_EDGE edge_id=e_cad1b79eb120 source=n_58162f0256a8 edge_type=supports target=n_a6e819e65e8b\nt=0036 ADD_EDGE edge_id=e_7dac5f8e8b3a source=n_81c1703d3ef7 edge_type=supports target=n_d9a15077a385\nt=0037 ADD_EDGE edge_id=e_a3aca07cea69 source=n_81c1703d3ef7 edge_type=refutes target=n_059f0ceb1473\nt=0038 ADD_EDGE edge_id=e_c90df37691ed source=n_8a299656b9c2 edge_type=refutes target=n_fcfffa19b621\nt=0039 ADD_EDGE edge_id=e_ab7b6107c32c source=n_81c1703d3ef7 edge_type=refutes target=n_8e9ded9df4a9\nt=0040 ADD_EDGE edge_id=e_40995f2137a0 source=n_608f8371fa8a edge_type=refutes target=n_74d9df086c42\nt=0041 ADD_EDGE edge_id=e_1e9b4fe04aff source=n_70d870e2e204 edge_type=supports target=n_8a299656b9c2\nt=0042 ADD_EDGE edge_id=e_41adb5073f89 source=n_2cce0ddf0c39 edge_type=refutes target=n_608f8371fa8a\nt=0043 ADD_EDGE edge_id=e_b573a7f31e69 source=n_671f627f03d8 edge_type=supports target=n_a425490c881e\nt=0044 ADD_EDGE edge_id=e_d520920e3ed2 source=n_e0d46ddbbcbf edge_type=supports target=n_02ffb7c2259a\nt=0045 ADD_EDGE edge_id=e_370299e7e038 source=n_9bd7d26615f9 edge_type=refutes target=n_fc6dfe2d8ae4\nt=0046 ADD_EDGE edge_id=e_13aeebde2426 source=n_8a299656b9c2 edge_type=refutes target=n_e0d46ddbbcbf\nt=0047 ADD_EDGE edge_id=e_7ad1b9493f6b source=n_fcfffa19b621 edge_type=refutes target=n_ec732d806a43\nt=0048 ADD_EDGE edge_id=e_335a62e2e333 source=n_821ee97e340a edge_type=supports target=n_15410a5f0905\nt=0049 ADD_EDGE edge_id=e_2186198b39e4 source=n_70d870e2e204 edge_type=refutes target=n_2cce0ddf0c39\nt=0050 ADD_EDGE edge_id=e_158e95f5c312 source=n_81c1703d3ef7 edge_type=supports target=n_d6431b4e9454\nt=0051 ADD_EDGE edge_id=e_3a9940ca567e source=n_608f8371fa8a edge_type=refutes target=n_9f2003aa15d9\nt=0052 ADD_EDGE edge_id=e_b5e2b545724d source=n_d67e15ada709 edge_type=refutes target=n_54ba8bea5a8a\nt=0053 ADD_EDGE edge_id=e_31e8d01e1437 source=n_8e9ded9df4a9 edge_type=supports target=n_58162f0256a8\nt=0054 ADD_EDGE edge_id=e_fd47adb86c2f source=n_fc6dfe2d8ae4 edge_type=supports target=n_81c1703d3ef7\nt=0055 ADD_EDGE edge_id=e_c5b9eecaf556 source=n_70d870e2e204 edge_type=supports target=n_b4662c26ae4f\nt=0056 ADD_EDGE edge_id=e_8de0981f4f95 source=n_a425490c881e edge_type=supports target=n_7137e2115f88\nt=0057 ADD_EDGE edge_id=e_e0a618843e4c source=n_9f2003aa15d9 edge_type=refutes target=n_821ee97e340a\nt=0058 ADD_EDGE edge_id=e_6912f1d981b3 source=n_54ba8bea5a8a edge_type=refutes target=n_9bd7d26615f9\nt=0059 QUERY source=n_d67e15ada709 target=n_7137e2115f88\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2827,"provenance":{"base_record_id":"train-d10-020","dataset":"livegraph-deterministic-parity-v3","depth":10,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d10-020","split":"train","variant":"clean"},"record_seed":450870675634966758,"render_sha256":"b11d0a460090afb84733b222075b4f65d1609cd3235ea76d136ecb63984fef68","representation":"linear_trace","semantic_sha256":"53aaa336cf2ec7e739e109f0da3e953fa4f444e3406325b9bb260faddd08745f"}
{"char_count":5084,"item_id":"train-d10-021::linear_trace","label":"FALSE","lexical_token_proxy_count":868,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_c75e3ea64442 node_type=claim\nt=0001 CREATE_NODE id=n_c9a3ef2efa60 node_type=claim\nt=0002 CREATE_NODE id=n_f7f754f9d2bc node_type=claim\nt=0003 CREATE_NODE id=n_5ca7f91da3a6 node_type=claim\nt=0004 CREATE_NODE id=n_0602976b2e72 node_type=claim\nt=0005 CREATE_NODE id=n_f4cf2a266de2 node_type=claim\nt=0006 CREATE_NODE id=n_ab3d8af1fab6 node_type=claim\nt=0007 CREATE_NODE id=n_9230ef2494dd node_type=claim\nt=0008 CREATE_NODE id=n_c7114aaabb90 node_type=claim\nt=0009 CREATE_NODE id=n_ab3255957cd1 node_type=claim\nt=0010 CREATE_NODE id=n_c1ed20c82538 node_type=claim\nt=0011 CREATE_NODE id=n_0f361ceadf29 node_type=claim\nt=0012 CREATE_NODE id=n_0882c01a3e8e node_type=claim\nt=0013 CREATE_NODE id=n_c7fd1c6a2903 node_type=claim\nt=0014 CREATE_NODE id=n_ed86aa841feb node_type=claim\nt=0015 CREATE_NODE id=n_7bb117ba0d26 node_type=claim\nt=0016 CREATE_NODE id=n_517cc28066fe node_type=claim\nt=0017 CREATE_NODE id=n_e7181a7362e5 node_type=claim\nt=0018 CREATE_NODE id=n_9422b64b4e2a node_type=claim\nt=0019 CREATE_NODE id=n_5d23472f9a34 node_type=claim\nt=0020 CREATE_NODE id=n_a92b072ff2d8 node_type=claim\nt=0021 CREATE_NODE id=n_02c63a087a83 node_type=claim\nt=0022 CREATE_NODE id=n_94033adeaa25 node_type=claim\nt=0023 CREATE_NODE id=n_a4fc9c6cfb5a node_type=claim\nt=0024 CREATE_NODE id=n_b2c0d76a7109 node_type=claim\nt=0025 CREATE_NODE id=n_c06e6cf8b02e node_type=claim\nt=0026 CREATE_NODE id=n_9ebb01b07ca9 node_type=claim\nt=0027 CREATE_NODE id=n_4395ba36bf6a node_type=claim\nt=0028 CREATE_NODE id=n_5ea9e18d567e node_type=claim\nt=0029 CREATE_NODE id=n_758bd7bcfb45 node_type=claim\nt=0030 ASSERT_ROOT node=n_9230ef2494dd value=TRUE\nt=0031 ADD_EDGE edge_id=e_5bb6cc42c0f8 source=n_c9a3ef2efa60 edge_type=supports target=n_4395ba36bf6a\nt=0032 ADD_EDGE edge_id=e_b657952e8035 source=n_758bd7bcfb45 edge_type=supports target=n_5ca7f91da3a6\nt=0033 ADD_EDGE edge_id=e_e8daf55feaff source=n_0602976b2e72 edge_type=refutes target=n_ab3d8af1fab6\nt=0034 ADD_EDGE edge_id=e_594fe078a74b source=n_c9a3ef2efa60 edge_type=refutes target=n_0602976b2e72\nt=0035 ADD_EDGE edge_id=e_7fb146edf054 source=n_9ebb01b07ca9 edge_type=refutes target=n_c75e3ea64442\nt=0036 ADD_EDGE edge_id=e_70eb2bccda8b source=n_b2c0d76a7109 edge_type=supports target=n_ab3255957cd1\nt=0037 ADD_EDGE edge_id=e_5ab6e5407d74 source=n_7bb117ba0d26 edge_type=supports target=n_0f361ceadf29\nt=0038 ADD_EDGE edge_id=e_0b2f32324ea0 source=n_9ebb01b07ca9 edge_type=refutes target=n_517cc28066fe\nt=0039 ADD_EDGE edge_id=e_183e2f0769d1 source=n_02c63a087a83 edge_type=refutes target=n_7bb117ba0d26\nt=0040 ADD_EDGE edge_id=e_b50111a55016 source=n_5d23472f9a34 edge_type=supports target=n_f4cf2a266de2\nt=0041 ADD_EDGE edge_id=e_d3c1ce80e0a1 source=n_c7114aaabb90 edge_type=supports target=n_94033adeaa25\nt=0042 ADD_EDGE edge_id=e_9e583a83f63e source=n_7bb117ba0d26 edge_type=refutes target=n_5d23472f9a34\nt=0043 ADD_EDGE edge_id=e_a5bab6229cb6 source=n_a4fc9c6cfb5a edge_type=refutes target=n_c06e6cf8b02e\nt=0044 ADD_EDGE edge_id=e_c6a98ee4e2d1 source=n_ab3d8af1fab6 edge_type=refutes target=n_c1ed20c82538\nt=0045 ADD_EDGE edge_id=e_acdbe37cd976 source=n_c1ed20c82538 edge_type=supports target=n_0882c01a3e8e\nt=0046 ADD_EDGE edge_id=e_f2e853134f71 source=n_5ca7f91da3a6 edge_type=supports target=n_c7114aaabb90\nt=0047 ADD_EDGE edge_id=e_89fb07e36b5d source=n_9ebb01b07ca9 edge_type=supports target=n_02c63a087a83\nt=0048 ADD_EDGE edge_id=e_12903aa2fc98 source=n_9ebb01b07ca9 edge_type=refutes target=n_f7f754f9d2bc\nt=0049 ADD_EDGE edge_id=e_dc0aa5905f13 source=n_0602976b2e72 edge_type=refutes target=n_c7fd1c6a2903\nt=0050 ADD_EDGE edge_id=e_0c437b6a1ad4 source=n_7bb117ba0d26 edge_type=refutes target=n_a4fc9c6cfb5a\nt=0051 ADD_EDGE edge_id=e_0a7d24632395 source=n_f7f754f9d2bc edge_type=refutes target=n_b2c0d76a7109\nt=0052 ADD_EDGE edge_id=e_7617fb71cb8b source=n_5ea9e18d567e edge_type=supports target=n_e7181a7362e5\nt=0053 ADD_EDGE edge_id=e_bde5e28a9427 source=n_517cc28066fe edge_type=supports target=n_9422b64b4e2a\nt=0054 ADD_EDGE edge_id=e_723b3ebb19a4 source=n_ed86aa841feb edge_type=refutes target=n_5ea9e18d567e\nt=0055 ADD_EDGE edge_id=e_70fc4e642de7 source=n_9230ef2494dd edge_type=refutes target=n_ed86aa841feb\nt=0056 ADD_EDGE edge_id=e_a832af193ac6 source=n_c1ed20c82538 edge_type=supports target=n_758bd7bcfb45\nt=0057 ADD_EDGE edge_id=e_f5c78e5c6422 source=n_0f361ceadf29 edge_type=supports target=n_a92b072ff2d8\nt=0058 ADD_EDGE edge_id=e_b450a684526a source=n_5ea9e18d567e edge_type=supports target=n_c9a3ef2efa60\nt=0059 QUERY source=n_9230ef2494dd target=n_94033adeaa25\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2772,"provenance":{"base_record_id":"train-d10-021","dataset":"livegraph-deterministic-parity-v3","depth":10,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d10-021","split":"train","variant":"clean"},"record_seed":78172085078977909,"render_sha256":"c36cdc7270dbba433cd6c153c957050341f481e74df0ab86ff10b5bc37af18a5","representation":"linear_trace","semantic_sha256":"823b3bc3fa2ef21640c0a38419b5fd73b52c6c3ece4ceac77dc85a023344ebac"}
{"char_count":5085,"item_id":"train-d10-022::linear_trace","label":"TRUE","lexical_token_proxy_count":868,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_1128d6739a26 node_type=claim\nt=0001 CREATE_NODE id=n_e37b97b30677 node_type=claim\nt=0002 CREATE_NODE id=n_cc247833520f node_type=claim\nt=0003 CREATE_NODE id=n_1fdedbc3f2cd node_type=claim\nt=0004 CREATE_NODE id=n_d58cb631fbb1 node_type=claim\nt=0005 CREATE_NODE id=n_f0332c9e0088 node_type=claim\nt=0006 CREATE_NODE id=n_efbcd6ac2991 node_type=claim\nt=0007 CREATE_NODE id=n_7a9c50f8b3e4 node_type=claim\nt=0008 CREATE_NODE id=n_3a47a8ec1fcd node_type=claim\nt=0009 CREATE_NODE id=n_c93118d0d98f node_type=claim\nt=0010 CREATE_NODE id=n_69b79dcaf578 node_type=claim\nt=0011 CREATE_NODE id=n_4580d91a36db node_type=claim\nt=0012 CREATE_NODE id=n_824405a132fd node_type=claim\nt=0013 CREATE_NODE id=n_d9f34506796d node_type=claim\nt=0014 CREATE_NODE id=n_e137920fb53f node_type=claim\nt=0015 CREATE_NODE id=n_1fdccd66f4a3 node_type=claim\nt=0016 CREATE_NODE id=n_5d83cc1b8e93 node_type=claim\nt=0017 CREATE_NODE id=n_2f761a613ec4 node_type=claim\nt=0018 CREATE_NODE id=n_065ca127ea5b node_type=claim\nt=0019 CREATE_NODE id=n_7e96ea5c8341 node_type=claim\nt=0020 CREATE_NODE id=n_dd14c68ee8f6 node_type=claim\nt=0021 CREATE_NODE id=n_04570f06ccdd node_type=claim\nt=0022 CREATE_NODE id=n_8418f4cd7d4b node_type=claim\nt=0023 CREATE_NODE id=n_1e2c6c73279b node_type=claim\nt=0024 CREATE_NODE id=n_7bd55af8fa5f node_type=claim\nt=0025 CREATE_NODE id=n_21456e942a4f node_type=claim\nt=0026 CREATE_NODE id=n_fbe01ca850a3 node_type=claim\nt=0027 CREATE_NODE id=n_57ca2ebd57dc node_type=claim\nt=0028 CREATE_NODE id=n_2a82bceb57e2 node_type=claim\nt=0029 CREATE_NODE id=n_b760df112897 node_type=claim\nt=0030 ASSERT_ROOT node=n_8418f4cd7d4b value=FALSE\nt=0031 ADD_EDGE edge_id=e_c07e5fa49f7d source=n_efbcd6ac2991 edge_type=refutes target=n_065ca127ea5b\nt=0032 ADD_EDGE edge_id=e_bed9927c2daa source=n_1e2c6c73279b edge_type=supports target=n_f0332c9e0088\nt=0033 ADD_EDGE edge_id=e_7b629fe0952a source=n_065ca127ea5b edge_type=refutes target=n_d9f34506796d\nt=0034 ADD_EDGE edge_id=e_37e0d07609a6 source=n_1e2c6c73279b edge_type=refutes target=n_efbcd6ac2991\nt=0035 ADD_EDGE edge_id=e_73dcc5e4ef6f source=n_7a9c50f8b3e4 edge_type=supports target=n_4580d91a36db\nt=0036 ADD_EDGE edge_id=e_19ce38c05f76 source=n_21456e942a4f edge_type=supports target=n_824405a132fd\nt=0037 ADD_EDGE edge_id=e_2b61f1000118 source=n_b760df112897 edge_type=refutes target=n_c93118d0d98f\nt=0038 ADD_EDGE edge_id=e_1ba19129d87d source=n_efbcd6ac2991 edge_type=supports target=n_d58cb631fbb1\nt=0039 ADD_EDGE edge_id=e_5649896d2586 source=n_1fdedbc3f2cd edge_type=refutes target=n_7e96ea5c8341\nt=0040 ADD_EDGE edge_id=e_a7129a18255d source=n_7a9c50f8b3e4 edge_type=refutes target=n_04570f06ccdd\nt=0041 ADD_EDGE edge_id=e_3ab057836d10 source=n_b760df112897 edge_type=refutes target=n_e37b97b30677\nt=0042 ADD_EDGE edge_id=e_f7df7bafb650 source=n_dd14c68ee8f6 edge_type=refutes target=n_3a47a8ec1fcd\nt=0043 ADD_EDGE edge_id=e_ffc0c0e82225 source=n_cc247833520f edge_type=refutes target=n_2f761a613ec4\nt=0044 ADD_EDGE edge_id=e_0fa64e0d2f24 source=n_d9f34506796d edge_type=refutes target=n_57ca2ebd57dc\nt=0045 ADD_EDGE edge_id=e_9d5a94aa219d source=n_1fdedbc3f2cd edge_type=supports target=n_e137920fb53f\nt=0046 ADD_EDGE edge_id=e_3e905d57e6be source=n_21456e942a4f edge_type=refutes target=n_cc247833520f\nt=0047 ADD_EDGE edge_id=e_e355f177a179 source=n_1fdedbc3f2cd edge_type=supports target=n_69b79dcaf578\nt=0048 ADD_EDGE edge_id=e_f89209055117 source=n_1fdedbc3f2cd edge_type=supports target=n_7bd55af8fa5f\nt=0049 ADD_EDGE edge_id=e_aa3af0eda89a source=n_57ca2ebd57dc edge_type=supports target=n_5d83cc1b8e93\nt=0050 ADD_EDGE edge_id=e_4e007a948dc5 source=n_5d83cc1b8e93 edge_type=refutes target=n_7a9c50f8b3e4\nt=0051 ADD_EDGE edge_id=e_8280a3ad65df source=n_21456e942a4f edge_type=refutes target=n_1fdedbc3f2cd\nt=0052 ADD_EDGE edge_id=e_0eaadc79a95d source=n_824405a132fd edge_type=supports target=n_1fdccd66f4a3\nt=0053 ADD_EDGE edge_id=e_bfe64c7e8742 source=n_cc247833520f edge_type=supports target=n_b760df112897\nt=0054 ADD_EDGE edge_id=e_3acdf5bad4a3 source=n_7e96ea5c8341 edge_type=supports target=n_fbe01ca850a3\nt=0055 ADD_EDGE edge_id=e_9c3766a59b5c source=n_8418f4cd7d4b edge_type=supports target=n_1e2c6c73279b\nt=0056 ADD_EDGE edge_id=e_bb84d9387268 source=n_04570f06ccdd edge_type=supports target=n_2a82bceb57e2\nt=0057 ADD_EDGE edge_id=e_6f7f109f4f58 source=n_e137920fb53f edge_type=supports target=n_1128d6739a26\nt=0058 ADD_EDGE edge_id=e_233dbf1c63df source=n_2a82bceb57e2 edge_type=refutes target=n_dd14c68ee8f6\nt=0059 QUERY source=n_8418f4cd7d4b target=n_dd14c68ee8f6\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2798,"provenance":{"base_record_id":"train-d10-022","dataset":"livegraph-deterministic-parity-v3","depth":10,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d10-022","split":"train","variant":"clean"},"record_seed":594261034343119313,"render_sha256":"6892bcd7a3d454835ee0ebd074944ec7624076fae24af54ea73708f8b3b3d636","representation":"linear_trace","semantic_sha256":"f453bfa068d907fa998d5224fb63afbbae47aa8d96cfe5de4f80353a225b51d1"}
{"char_count":5085,"item_id":"train-d10-023::linear_trace","label":"FALSE","lexical_token_proxy_count":868,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_7024fb14e233 node_type=claim\nt=0001 CREATE_NODE id=n_a22b0108429e node_type=claim\nt=0002 CREATE_NODE id=n_4f4ab5d8b1e2 node_type=claim\nt=0003 CREATE_NODE id=n_b665392214c4 node_type=claim\nt=0004 CREATE_NODE id=n_0f3756261119 node_type=claim\nt=0005 CREATE_NODE id=n_bf6d9cb6be62 node_type=claim\nt=0006 CREATE_NODE id=n_ed489bac2e39 node_type=claim\nt=0007 CREATE_NODE id=n_54925ecbbc72 node_type=claim\nt=0008 CREATE_NODE id=n_16f2a32c7428 node_type=claim\nt=0009 CREATE_NODE id=n_b5665dc6c059 node_type=claim\nt=0010 CREATE_NODE id=n_545101eeaf13 node_type=claim\nt=0011 CREATE_NODE id=n_de189fb9e504 node_type=claim\nt=0012 CREATE_NODE id=n_8df14764fa01 node_type=claim\nt=0013 CREATE_NODE id=n_2881d342586f node_type=claim\nt=0014 CREATE_NODE id=n_aa0eaefeb5b4 node_type=claim\nt=0015 CREATE_NODE id=n_26ba8e1ca424 node_type=claim\nt=0016 CREATE_NODE id=n_1530baab66c3 node_type=claim\nt=0017 CREATE_NODE id=n_5fd5d381b9da node_type=claim\nt=0018 CREATE_NODE id=n_f3faffd5ac77 node_type=claim\nt=0019 CREATE_NODE id=n_81782027c9cf node_type=claim\nt=0020 CREATE_NODE id=n_78b486c28494 node_type=claim\nt=0021 CREATE_NODE id=n_1ab93949f4d2 node_type=claim\nt=0022 CREATE_NODE id=n_fb2c6e75c477 node_type=claim\nt=0023 CREATE_NODE id=n_587ed1ac8a99 node_type=claim\nt=0024 CREATE_NODE id=n_f70c79653201 node_type=claim\nt=0025 CREATE_NODE id=n_27f3bb13edc0 node_type=claim\nt=0026 CREATE_NODE id=n_8dd8a7fb6156 node_type=claim\nt=0027 CREATE_NODE id=n_5f796ca89bcb node_type=claim\nt=0028 CREATE_NODE id=n_cbca0f11b95c node_type=claim\nt=0029 CREATE_NODE id=n_ff1635874eb6 node_type=claim\nt=0030 ASSERT_ROOT node=n_aa0eaefeb5b4 value=FALSE\nt=0031 ADD_EDGE edge_id=e_91631218d2e6 source=n_26ba8e1ca424 edge_type=refutes target=n_1530baab66c3\nt=0032 ADD_EDGE edge_id=e_2be65b6c7111 source=n_f70c79653201 edge_type=supports target=n_b5665dc6c059\nt=0033 ADD_EDGE edge_id=e_ab3ef1b10c54 source=n_545101eeaf13 edge_type=refutes target=n_587ed1ac8a99\nt=0034 ADD_EDGE edge_id=e_33399db47a24 source=n_ed489bac2e39 edge_type=supports target=n_16f2a32c7428\nt=0035 ADD_EDGE edge_id=e_0da1735ea3a8 source=n_ff1635874eb6 edge_type=refutes target=n_54925ecbbc72\nt=0036 ADD_EDGE edge_id=e_6afdd1073662 source=n_27f3bb13edc0 edge_type=refutes target=n_f3faffd5ac77\nt=0037 ADD_EDGE edge_id=e_aa5bf291bffa source=n_de189fb9e504 edge_type=supports target=n_8dd8a7fb6156\nt=0038 ADD_EDGE edge_id=e_ab12639b5906 source=n_cbca0f11b95c edge_type=refutes target=n_7024fb14e233\nt=0039 ADD_EDGE edge_id=e_04808e25e6d9 source=n_8df14764fa01 edge_type=supports target=n_5f796ca89bcb\nt=0040 ADD_EDGE edge_id=e_21ef42125257 source=n_ed489bac2e39 edge_type=supports target=n_8df14764fa01\nt=0041 ADD_EDGE edge_id=e_1aabc893d6ef source=n_aa0eaefeb5b4 edge_type=supports target=n_b665392214c4\nt=0042 ADD_EDGE edge_id=e_85a50d8340be source=n_a22b0108429e edge_type=supports target=n_cbca0f11b95c\nt=0043 ADD_EDGE edge_id=e_eeb13995cb9e source=n_81782027c9cf edge_type=refutes target=n_fb2c6e75c477\nt=0044 ADD_EDGE edge_id=e_b869af9e2bc7 source=n_5f796ca89bcb edge_type=refutes target=n_2881d342586f\nt=0045 ADD_EDGE edge_id=e_502ebdb83356 source=n_26ba8e1ca424 edge_type=supports target=n_a22b0108429e\nt=0046 ADD_EDGE edge_id=e_42d0e81a3a10 source=n_8df14764fa01 edge_type=supports target=n_ff1635874eb6\nt=0047 ADD_EDGE edge_id=e_dbddc815a73a source=n_16f2a32c7428 edge_type=supports target=n_de189fb9e504\nt=0048 ADD_EDGE edge_id=e_97e80c2570eb source=n_54925ecbbc72 edge_type=supports target=n_0f3756261119\nt=0049 ADD_EDGE edge_id=e_82075a05ef22 source=n_ed489bac2e39 edge_type=refutes target=n_81782027c9cf\nt=0050 ADD_EDGE edge_id=e_e99becf8abb8 source=n_5f796ca89bcb edge_type=refutes target=n_bf6d9cb6be62\nt=0051 ADD_EDGE edge_id=e_319e2535ec8e source=n_5f796ca89bcb edge_type=refutes target=n_78b486c28494\nt=0052 ADD_EDGE edge_id=e_ae14d8aec477 source=n_b665392214c4 edge_type=supports target=n_545101eeaf13\nt=0053 ADD_EDGE edge_id=e_78708baa9861 source=n_587ed1ac8a99 edge_type=supports target=n_27f3bb13edc0\nt=0054 ADD_EDGE edge_id=e_ab8d9e317ac6 source=n_b5665dc6c059 edge_type=supports target=n_4f4ab5d8b1e2\nt=0055 ADD_EDGE edge_id=e_3fd42e8f7d32 source=n_5f796ca89bcb edge_type=refutes target=n_1ab93949f4d2\nt=0056 ADD_EDGE edge_id=e_80a10e5cd8c9 source=n_f3faffd5ac77 edge_type=refutes target=n_26ba8e1ca424\nt=0057 ADD_EDGE edge_id=e_dea49d3f4c43 source=n_cbca0f11b95c edge_type=refutes target=n_f70c79653201\nt=0058 ADD_EDGE edge_id=e_840c315a440d source=n_545101eeaf13 edge_type=refutes target=n_5fd5d381b9da\nt=0059 QUERY source=n_aa0eaefeb5b4 target=n_b5665dc6c059\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2767,"provenance":{"base_record_id":"train-d10-023","dataset":"livegraph-deterministic-parity-v3","depth":10,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d10-023","split":"train","variant":"clean"},"record_seed":25304836975957645,"render_sha256":"753d1666de0e98b476763ef27bdb2d5d178b3a57bbecb3ad6d91c1c5eeb20dfd","representation":"linear_trace","semantic_sha256":"0a1e4de0bef1d5a7ac496563506c4ab988c6124f2a27096bcecdf231381a56e7"}
{"char_count":5084,"item_id":"train-d10-024::linear_trace","label":"TRUE","lexical_token_proxy_count":868,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_976d1d943282 node_type=claim\nt=0001 CREATE_NODE id=n_05107a48d87d node_type=claim\nt=0002 CREATE_NODE id=n_c74126902ba6 node_type=claim\nt=0003 CREATE_NODE id=n_797b86f4be84 node_type=claim\nt=0004 CREATE_NODE id=n_b0deec24c993 node_type=claim\nt=0005 CREATE_NODE id=n_3c5e836d2da5 node_type=claim\nt=0006 CREATE_NODE id=n_5bcdc3d383e6 node_type=claim\nt=0007 CREATE_NODE id=n_d617db3c125f node_type=claim\nt=0008 CREATE_NODE id=n_35d692c6780f node_type=claim\nt=0009 CREATE_NODE id=n_d7b5fd6752cc node_type=claim\nt=0010 CREATE_NODE id=n_951537dea892 node_type=claim\nt=0011 CREATE_NODE id=n_f69e3ddaa1ef node_type=claim\nt=0012 CREATE_NODE id=n_991e76aac13b node_type=claim\nt=0013 CREATE_NODE id=n_0b4b6ca54155 node_type=claim\nt=0014 CREATE_NODE id=n_1f94989b4704 node_type=claim\nt=0015 CREATE_NODE id=n_37e3be7cb319 node_type=claim\nt=0016 CREATE_NODE id=n_4c76d70ce4a6 node_type=claim\nt=0017 CREATE_NODE id=n_cd88194a7e3f node_type=claim\nt=0018 CREATE_NODE id=n_59cc3a09337e node_type=claim\nt=0019 CREATE_NODE id=n_f67e10b8cb42 node_type=claim\nt=0020 CREATE_NODE id=n_857417922517 node_type=claim\nt=0021 CREATE_NODE id=n_4b4f8718df0d node_type=claim\nt=0022 CREATE_NODE id=n_320032494d5b node_type=claim\nt=0023 CREATE_NODE id=n_b56d39658dff node_type=claim\nt=0024 CREATE_NODE id=n_07925d72fc29 node_type=claim\nt=0025 CREATE_NODE id=n_29f3814f7c97 node_type=claim\nt=0026 CREATE_NODE id=n_4a57ac398f36 node_type=claim\nt=0027 CREATE_NODE id=n_627c6b41345f node_type=claim\nt=0028 CREATE_NODE id=n_65ce738a1ec4 node_type=claim\nt=0029 CREATE_NODE id=n_3ce57e8489be node_type=claim\nt=0030 ASSERT_ROOT node=n_f67e10b8cb42 value=TRUE\nt=0031 ADD_EDGE edge_id=e_a9e355801204 source=n_b0deec24c993 edge_type=refutes target=n_4c76d70ce4a6\nt=0032 ADD_EDGE edge_id=e_cea302821fac source=n_0b4b6ca54155 edge_type=supports target=n_857417922517\nt=0033 ADD_EDGE edge_id=e_bbafc629800c source=n_37e3be7cb319 edge_type=supports target=n_951537dea892\nt=0034 ADD_EDGE edge_id=e_c62b6c8310b4 source=n_5bcdc3d383e6 edge_type=supports target=n_59cc3a09337e\nt=0035 ADD_EDGE edge_id=e_f06a3a8dd4eb source=n_1f94989b4704 edge_type=refutes target=n_4a57ac398f36\nt=0036 ADD_EDGE edge_id=e_96b8a8b4c3b5 source=n_0b4b6ca54155 edge_type=refutes target=n_f69e3ddaa1ef\nt=0037 ADD_EDGE edge_id=e_270273248fde source=n_0b4b6ca54155 edge_type=supports target=n_320032494d5b\nt=0038 ADD_EDGE edge_id=e_108017dbb05c source=n_07925d72fc29 edge_type=refutes target=n_d7b5fd6752cc\nt=0039 ADD_EDGE edge_id=e_d2174a102c37 source=n_797b86f4be84 edge_type=refutes target=n_65ce738a1ec4\nt=0040 ADD_EDGE edge_id=e_526b74be3f97 source=n_29f3814f7c97 edge_type=supports target=n_627c6b41345f\nt=0041 ADD_EDGE edge_id=e_29069ff2a238 source=n_4a57ac398f36 edge_type=supports target=n_c74126902ba6\nt=0042 ADD_EDGE edge_id=e_bb5c05f87b6a source=n_5bcdc3d383e6 edge_type=supports target=n_37e3be7cb319\nt=0043 ADD_EDGE edge_id=e_a29bb90862b6 source=n_65ce738a1ec4 edge_type=refutes target=n_4b4f8718df0d\nt=0044 ADD_EDGE edge_id=e_c86bcf0dbdd5 source=n_0b4b6ca54155 edge_type=supports target=n_b0deec24c993\nt=0045 ADD_EDGE edge_id=e_fa0a778bda6c source=n_0b4b6ca54155 edge_type=refutes target=n_cd88194a7e3f\nt=0046 ADD_EDGE edge_id=e_b5f1332f58dc source=n_4b4f8718df0d edge_type=supports target=n_1f94989b4704\nt=0047 ADD_EDGE edge_id=e_82ff9d518f22 source=n_3c5e836d2da5 edge_type=refutes target=n_797b86f4be84\nt=0048 ADD_EDGE edge_id=e_2bc8cbbc62d3 source=n_f69e3ddaa1ef edge_type=supports target=n_d617db3c125f\nt=0049 ADD_EDGE edge_id=e_e1efc426d11a source=n_b0deec24c993 edge_type=refutes target=n_35d692c6780f\nt=0050 ADD_EDGE edge_id=e_f9bcc15acd51 source=n_627c6b41345f edge_type=supports target=n_b56d39658dff\nt=0051 ADD_EDGE edge_id=e_6b53aec810f7 source=n_976d1d943282 edge_type=refutes target=n_0b4b6ca54155\nt=0052 ADD_EDGE edge_id=e_858d51a14a68 source=n_991e76aac13b edge_type=refutes target=n_29f3814f7c97\nt=0053 ADD_EDGE edge_id=e_5808e118e564 source=n_976d1d943282 edge_type=refutes target=n_3ce57e8489be\nt=0054 ADD_EDGE edge_id=e_0add57fdfe54 source=n_05107a48d87d edge_type=supports target=n_07925d72fc29\nt=0055 ADD_EDGE edge_id=e_52846814f133 source=n_b0deec24c993 edge_type=supports target=n_991e76aac13b\nt=0056 ADD_EDGE edge_id=e_c2b40f3f57cf source=n_07925d72fc29 edge_type=refutes target=n_5bcdc3d383e6\nt=0057 ADD_EDGE edge_id=e_ba5f5eb831ea source=n_37e3be7cb319 edge_type=refutes target=n_3c5e836d2da5\nt=0058 ADD_EDGE edge_id=e_f145cfc61a86 source=n_f67e10b8cb42 edge_type=supports target=n_05107a48d87d\nt=0059 QUERY source=n_f67e10b8cb42 target=n_4a57ac398f36\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2825,"provenance":{"base_record_id":"train-d10-024","dataset":"livegraph-deterministic-parity-v3","depth":10,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d10-024","split":"train","variant":"clean"},"record_seed":978687465106363635,"render_sha256":"8ad78953780f9a5b2342094622de377e2922598b5ea77c739ffa6d9f577f6fae","representation":"linear_trace","semantic_sha256":"7e60c2410cbc67b52db8afb74597c61dc2d08d238ae678a278c1646e59cf49e6"}
{"char_count":5084,"item_id":"train-d10-025::linear_trace","label":"FALSE","lexical_token_proxy_count":868,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_27f09aa603cf node_type=claim\nt=0001 CREATE_NODE id=n_f06624dffd88 node_type=claim\nt=0002 CREATE_NODE id=n_d4156c988454 node_type=claim\nt=0003 CREATE_NODE id=n_8fe88950d30b node_type=claim\nt=0004 CREATE_NODE id=n_7d1d6561a86c node_type=claim\nt=0005 CREATE_NODE id=n_5befad0f0cbb node_type=claim\nt=0006 CREATE_NODE id=n_87cc521643b3 node_type=claim\nt=0007 CREATE_NODE id=n_2afe370c4e5a node_type=claim\nt=0008 CREATE_NODE id=n_4ca70d96d107 node_type=claim\nt=0009 CREATE_NODE id=n_24fd78b6ce91 node_type=claim\nt=0010 CREATE_NODE id=n_92f50f04f43f node_type=claim\nt=0011 CREATE_NODE id=n_406b86e5b328 node_type=claim\nt=0012 CREATE_NODE id=n_2f6f7ae46b7a node_type=claim\nt=0013 CREATE_NODE id=n_c452f7287f05 node_type=claim\nt=0014 CREATE_NODE id=n_d8b5a77f827d node_type=claim\nt=0015 CREATE_NODE id=n_380ca67c71d6 node_type=claim\nt=0016 CREATE_NODE id=n_89b01f3e60f2 node_type=claim\nt=0017 CREATE_NODE id=n_df4e00893f37 node_type=claim\nt=0018 CREATE_NODE id=n_bc19f18bf979 node_type=claim\nt=0019 CREATE_NODE id=n_7e1419954a9f node_type=claim\nt=0020 CREATE_NODE id=n_e03d864b24ff node_type=claim\nt=0021 CREATE_NODE id=n_d143da2f49de node_type=claim\nt=0022 CREATE_NODE id=n_0ca6b1834da8 node_type=claim\nt=0023 CREATE_NODE id=n_0a1510d57f28 node_type=claim\nt=0024 CREATE_NODE id=n_4cd245d9b2d8 node_type=claim\nt=0025 CREATE_NODE id=n_a7b401964f3c node_type=claim\nt=0026 CREATE_NODE id=n_9c7fb9402c9a node_type=claim\nt=0027 CREATE_NODE id=n_4e402b5ddf5b node_type=claim\nt=0028 CREATE_NODE id=n_9fed0c36e4d3 node_type=claim\nt=0029 CREATE_NODE id=n_2a22e2e1b7c4 node_type=claim\nt=0030 ASSERT_ROOT node=n_406b86e5b328 value=TRUE\nt=0031 ADD_EDGE edge_id=e_d5db248eda84 source=n_4e402b5ddf5b edge_type=supports target=n_df4e00893f37\nt=0032 ADD_EDGE edge_id=e_f8887171f85b source=n_380ca67c71d6 edge_type=supports target=n_92f50f04f43f\nt=0033 ADD_EDGE edge_id=e_b87bbbb2c8a8 source=n_89b01f3e60f2 edge_type=supports target=n_4cd245d9b2d8\nt=0034 ADD_EDGE edge_id=e_3d2e63417e80 source=n_a7b401964f3c edge_type=supports target=n_0ca6b1834da8\nt=0035 ADD_EDGE edge_id=e_e81b61393e6d source=n_87cc521643b3 edge_type=supports target=n_d4156c988454\nt=0036 ADD_EDGE edge_id=e_cf9c0962c6a8 source=n_2afe370c4e5a edge_type=refutes target=n_24fd78b6ce91\nt=0037 ADD_EDGE edge_id=e_14fde148ccb0 source=n_2f6f7ae46b7a edge_type=refutes target=n_89b01f3e60f2\nt=0038 ADD_EDGE edge_id=e_15c1769a56fd source=n_406b86e5b328 edge_type=supports target=n_7d1d6561a86c\nt=0039 ADD_EDGE edge_id=e_5078f9ff57f1 source=n_0ca6b1834da8 edge_type=refutes target=n_bc19f18bf979\nt=0040 ADD_EDGE edge_id=e_8b2399b23c68 source=n_89b01f3e60f2 edge_type=supports target=n_d143da2f49de\nt=0041 ADD_EDGE edge_id=e_4d230f3c416e source=n_5befad0f0cbb edge_type=refutes target=n_380ca67c71d6\nt=0042 ADD_EDGE edge_id=e_c308a2eae681 source=n_7d1d6561a86c edge_type=refutes target=n_2f6f7ae46b7a\nt=0043 ADD_EDGE edge_id=e_d806e437fa38 source=n_bc19f18bf979 edge_type=refutes target=n_e03d864b24ff\nt=0044 ADD_EDGE edge_id=e_63adf13e95b3 source=n_87cc521643b3 edge_type=refutes target=n_2a22e2e1b7c4\nt=0045 ADD_EDGE edge_id=e_d5a5b33f682f source=n_a7b401964f3c edge_type=refutes target=n_d8b5a77f827d\nt=0046 ADD_EDGE edge_id=e_77527f39abfa source=n_c452f7287f05 edge_type=supports target=n_9c7fb9402c9a\nt=0047 ADD_EDGE edge_id=e_6aa6e6e21209 source=n_2a22e2e1b7c4 edge_type=refutes target=n_4e402b5ddf5b\nt=0048 ADD_EDGE edge_id=e_431902b39c30 source=n_a7b401964f3c edge_type=supports target=n_5befad0f0cbb\nt=0049 ADD_EDGE edge_id=e_9a4ba2db84f3 source=n_4cd245d9b2d8 edge_type=refutes target=n_0a1510d57f28\nt=0050 ADD_EDGE edge_id=e_8f38b2826fcc source=n_4ca70d96d107 edge_type=refutes target=n_87cc521643b3\nt=0051 ADD_EDGE edge_id=e_e9a5cf45477c source=n_c452f7287f05 edge_type=refutes target=n_f06624dffd88\nt=0052 ADD_EDGE edge_id=e_d4bf6dd9e2f1 source=n_d8b5a77f827d edge_type=refutes target=n_27f09aa603cf\nt=0053 ADD_EDGE edge_id=e_8deb69ca20bf source=n_27f09aa603cf edge_type=supports target=n_c452f7287f05\nt=0054 ADD_EDGE edge_id=e_ca46c39b541e source=n_8fe88950d30b edge_type=supports target=n_4ca70d96d107\nt=0055 ADD_EDGE edge_id=e_ba472910d2cf source=n_0a1510d57f28 edge_type=refutes target=n_8fe88950d30b\nt=0056 ADD_EDGE edge_id=e_1ecad99ecfac source=n_0a1510d57f28 edge_type=supports target=n_7e1419954a9f\nt=0057 ADD_EDGE edge_id=e_c03f65b43ccd source=n_0ca6b1834da8 edge_type=supports target=n_2afe370c4e5a\nt=0058 ADD_EDGE edge_id=e_57bdb50edec4 source=n_d8b5a77f827d edge_type=supports target=n_9fed0c36e4d3\nt=0059 QUERY source=n_406b86e5b328 target=n_4e402b5ddf5b\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2839,"provenance":{"base_record_id":"train-d10-025","dataset":"livegraph-deterministic-parity-v3","depth":10,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d10-025","split":"train","variant":"clean"},"record_seed":887990982307645096,"render_sha256":"a32f00b1371e790a2566b3c69c2fe3e91b0fc54e62007140217c2650f0fd506a","representation":"linear_trace","semantic_sha256":"9f96bcee027493f7f71b4af3b6471948acc4d227fe8e75e7fc7e403327c0882c"}
{"char_count":5085,"item_id":"train-d10-026::linear_trace","label":"TRUE","lexical_token_proxy_count":868,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_45d8e5df7218 node_type=claim\nt=0001 CREATE_NODE id=n_eb14e47b8c8a node_type=claim\nt=0002 CREATE_NODE id=n_0f383b3990a1 node_type=claim\nt=0003 CREATE_NODE id=n_8372f1be7fc3 node_type=claim\nt=0004 CREATE_NODE id=n_0ff603728de6 node_type=claim\nt=0005 CREATE_NODE id=n_75488e80484e node_type=claim\nt=0006 CREATE_NODE id=n_31ee7bff03d6 node_type=claim\nt=0007 CREATE_NODE id=n_536a614f9c07 node_type=claim\nt=0008 CREATE_NODE id=n_949e1f264f3b node_type=claim\nt=0009 CREATE_NODE id=n_81983bea0d96 node_type=claim\nt=0010 CREATE_NODE id=n_4daa8d1bbf37 node_type=claim\nt=0011 CREATE_NODE id=n_317d9921ba71 node_type=claim\nt=0012 CREATE_NODE id=n_e90a264b47b9 node_type=claim\nt=0013 CREATE_NODE id=n_7c37d8f448f0 node_type=claim\nt=0014 CREATE_NODE id=n_543a7cf47679 node_type=claim\nt=0015 CREATE_NODE id=n_0defeec1af49 node_type=claim\nt=0016 CREATE_NODE id=n_0ae042979987 node_type=claim\nt=0017 CREATE_NODE id=n_0f87b4ca0278 node_type=claim\nt=0018 CREATE_NODE id=n_3cea65230584 node_type=claim\nt=0019 CREATE_NODE id=n_948924b1bbd2 node_type=claim\nt=0020 CREATE_NODE id=n_dadef2cbd6a8 node_type=claim\nt=0021 CREATE_NODE id=n_a00755b3161f node_type=claim\nt=0022 CREATE_NODE id=n_c4e08f2bf02c node_type=claim\nt=0023 CREATE_NODE id=n_29e5503292a3 node_type=claim\nt=0024 CREATE_NODE id=n_8af5cb83a15c node_type=claim\nt=0025 CREATE_NODE id=n_323bb0df8ada node_type=claim\nt=0026 CREATE_NODE id=n_e965ea82ad99 node_type=claim\nt=0027 CREATE_NODE id=n_e228239db0a7 node_type=claim\nt=0028 CREATE_NODE id=n_48eeaf123daf node_type=claim\nt=0029 CREATE_NODE id=n_cedd0c963a8e node_type=claim\nt=0030 ASSERT_ROOT node=n_536a614f9c07 value=FALSE\nt=0031 ADD_EDGE edge_id=e_5c8c2df296ca source=n_0f87b4ca0278 edge_type=refutes target=n_3cea65230584\nt=0032 ADD_EDGE edge_id=e_9ca45a197008 source=n_eb14e47b8c8a edge_type=supports target=n_0ff603728de6\nt=0033 ADD_EDGE edge_id=e_7d5e9bb3dd40 source=n_317d9921ba71 edge_type=supports target=n_75488e80484e\nt=0034 ADD_EDGE edge_id=e_43579504f0db source=n_75488e80484e edge_type=supports target=n_e965ea82ad99\nt=0035 ADD_EDGE edge_id=e_00249a29903a source=n_949e1f264f3b edge_type=supports target=n_0f87b4ca0278\nt=0036 ADD_EDGE edge_id=e_f0fa6ee7a0ba source=n_cedd0c963a8e edge_type=refutes target=n_45d8e5df7218\nt=0037 ADD_EDGE edge_id=e_7db00e1a74fe source=n_543a7cf47679 edge_type=refutes target=n_e228239db0a7\nt=0038 ADD_EDGE edge_id=e_01360e91df16 source=n_31ee7bff03d6 edge_type=supports target=n_dadef2cbd6a8\nt=0039 ADD_EDGE edge_id=e_028dcc77e6b8 source=n_0ff603728de6 edge_type=supports target=n_8af5cb83a15c\nt=0040 ADD_EDGE edge_id=e_dac53e3bfc50 source=n_7c37d8f448f0 edge_type=supports target=n_a00755b3161f\nt=0041 ADD_EDGE edge_id=e_1f2bdf231716 source=n_c4e08f2bf02c edge_type=refutes target=n_4daa8d1bbf37\nt=0042 ADD_EDGE edge_id=e_6dd7288f2d13 source=n_eb14e47b8c8a edge_type=refutes target=n_e90a264b47b9\nt=0043 ADD_EDGE edge_id=e_14d7d5d3b179 source=n_31ee7bff03d6 edge_type=refutes target=n_323bb0df8ada\nt=0044 ADD_EDGE edge_id=e_f1ce097ad1fd source=n_949e1f264f3b edge_type=refutes target=n_0defeec1af49\nt=0045 ADD_EDGE edge_id=e_4344fea71957 source=n_543a7cf47679 edge_type=supports target=n_81983bea0d96\nt=0046 ADD_EDGE edge_id=e_a400a487d91c source=n_3cea65230584 edge_type=refutes target=n_8372f1be7fc3\nt=0047 ADD_EDGE edge_id=e_066d5df46b0d source=n_48eeaf123daf edge_type=supports target=n_317d9921ba71\nt=0048 ADD_EDGE edge_id=e_5a5b619862b4 source=n_536a614f9c07 edge_type=supports target=n_cedd0c963a8e\nt=0049 ADD_EDGE edge_id=e_94a4bd2f31c8 source=n_7c37d8f448f0 edge_type=refutes target=n_c4e08f2bf02c\nt=0050 ADD_EDGE edge_id=e_a2f7d353eb0f source=n_31ee7bff03d6 edge_type=refutes target=n_eb14e47b8c8a\nt=0051 ADD_EDGE edge_id=e_dc2d8900e121 source=n_cedd0c963a8e edge_type=supports target=n_48eeaf123daf\nt=0052 ADD_EDGE edge_id=e_d77c70ebc58f source=n_7c37d8f448f0 edge_type=refutes target=n_29e5503292a3\nt=0053 ADD_EDGE edge_id=e_6f871f3f4cc9 source=n_0ff603728de6 edge_type=supports target=n_0f383b3990a1\nt=0054 ADD_EDGE edge_id=e_9f99fb5441b7 source=n_e965ea82ad99 edge_type=refutes target=n_543a7cf47679\nt=0055 ADD_EDGE edge_id=e_d40993cbe3a7 source=n_0ae042979987 edge_type=supports target=n_948924b1bbd2\nt=0056 ADD_EDGE edge_id=e_97c333eb1e22 source=n_dadef2cbd6a8 edge_type=refutes target=n_7c37d8f448f0\nt=0057 ADD_EDGE edge_id=e_8c0a8fcec21b source=n_543a7cf47679 edge_type=supports target=n_949e1f264f3b\nt=0058 ADD_EDGE edge_id=e_b828d3ebfdc2 source=n_dadef2cbd6a8 edge_type=refutes target=n_0ae042979987\nt=0059 QUERY source=n_536a614f9c07 target=n_8372f1be7fc3\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2790,"provenance":{"base_record_id":"train-d10-026","dataset":"livegraph-deterministic-parity-v3","depth":10,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d10-026","split":"train","variant":"clean"},"record_seed":318024054800251492,"render_sha256":"a17fb2f4f12f29f5a260a8591c7699b6730658d5013cc2148a92abc83f53976a","representation":"linear_trace","semantic_sha256":"a82ea198ad293665a7bb2c0296814d0e4efdfc27450283fd1d321773b8876117"}
{"char_count":5085,"item_id":"train-d10-027::linear_trace","label":"FALSE","lexical_token_proxy_count":868,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_f6cb0f00ba49 node_type=claim\nt=0001 CREATE_NODE id=n_01a08fe44759 node_type=claim\nt=0002 CREATE_NODE id=n_6da07cd8c9c8 node_type=claim\nt=0003 CREATE_NODE id=n_4c07a465bb11 node_type=claim\nt=0004 CREATE_NODE id=n_a6185c3b208c node_type=claim\nt=0005 CREATE_NODE id=n_b46519ee9d55 node_type=claim\nt=0006 CREATE_NODE id=n_d0b6b8bb9f4b node_type=claim\nt=0007 CREATE_NODE id=n_862e7641da6c node_type=claim\nt=0008 CREATE_NODE id=n_bb700195be70 node_type=claim\nt=0009 CREATE_NODE id=n_54726689a659 node_type=claim\nt=0010 CREATE_NODE id=n_dd0e1cfe9c53 node_type=claim\nt=0011 CREATE_NODE id=n_5c3275327936 node_type=claim\nt=0012 CREATE_NODE id=n_12dedd24e7a2 node_type=claim\nt=0013 CREATE_NODE id=n_5b44a6b55be1 node_type=claim\nt=0014 CREATE_NODE id=n_ba9fbadd5378 node_type=claim\nt=0015 CREATE_NODE id=n_b83a9099ecdd node_type=claim\nt=0016 CREATE_NODE id=n_69e379099ab8 node_type=claim\nt=0017 CREATE_NODE id=n_5eeafd37c9a0 node_type=claim\nt=0018 CREATE_NODE id=n_72b2adb79815 node_type=claim\nt=0019 CREATE_NODE id=n_13adf837bac2 node_type=claim\nt=0020 CREATE_NODE id=n_d3bbefc0f36a node_type=claim\nt=0021 CREATE_NODE id=n_b3647a61f5d1 node_type=claim\nt=0022 CREATE_NODE id=n_0d3b96e842f0 node_type=claim\nt=0023 CREATE_NODE id=n_416f3c70fcd5 node_type=claim\nt=0024 CREATE_NODE id=n_87e19d7a0312 node_type=claim\nt=0025 CREATE_NODE id=n_161b24d01f22 node_type=claim\nt=0026 CREATE_NODE id=n_4ff06b1374b0 node_type=claim\nt=0027 CREATE_NODE id=n_cd71bdee98be node_type=claim\nt=0028 CREATE_NODE id=n_1d3d58c48527 node_type=claim\nt=0029 CREATE_NODE id=n_7a0af5e14cae node_type=claim\nt=0030 ASSERT_ROOT node=n_5b44a6b55be1 value=FALSE\nt=0031 ADD_EDGE edge_id=e_e2e28122ae89 source=n_bb700195be70 edge_type=refutes target=n_0d3b96e842f0\nt=0032 ADD_EDGE edge_id=e_80ac34931ac5 source=n_5eeafd37c9a0 edge_type=supports target=n_5c3275327936\nt=0033 ADD_EDGE edge_id=e_c03b7087ea05 source=n_7a0af5e14cae edge_type=refutes target=n_dd0e1cfe9c53\nt=0034 ADD_EDGE edge_id=e_1ab5f6f01a14 source=n_1d3d58c48527 edge_type=supports target=n_6da07cd8c9c8\nt=0035 ADD_EDGE edge_id=e_3afc0ff1399c source=n_4ff06b1374b0 edge_type=refutes target=n_b83a9099ecdd\nt=0036 ADD_EDGE edge_id=e_a9a7cf6e9ea3 source=n_4ff06b1374b0 edge_type=supports target=n_4c07a465bb11\nt=0037 ADD_EDGE edge_id=e_b7c7268710f2 source=n_72b2adb79815 edge_type=supports target=n_54726689a659\nt=0038 ADD_EDGE edge_id=e_4c8970a14428 source=n_0d3b96e842f0 edge_type=refutes target=n_7a0af5e14cae\nt=0039 ADD_EDGE edge_id=e_23f255f89ec4 source=n_b83a9099ecdd edge_type=refutes target=n_12dedd24e7a2\nt=0040 ADD_EDGE edge_id=e_0e4341dfa565 source=n_bb700195be70 edge_type=refutes target=n_87e19d7a0312\nt=0041 ADD_EDGE edge_id=e_86ec9a9f1356 source=n_72b2adb79815 edge_type=refutes target=n_d0b6b8bb9f4b\nt=0042 ADD_EDGE edge_id=e_1c4d56c575e0 source=n_5eeafd37c9a0 edge_type=refutes target=n_cd71bdee98be\nt=0043 ADD_EDGE edge_id=e_6eb616b8ba25 source=n_01a08fe44759 edge_type=supports target=n_bb700195be70\nt=0044 ADD_EDGE edge_id=e_59df82d1f0bd source=n_161b24d01f22 edge_type=supports target=n_13adf837bac2\nt=0045 ADD_EDGE edge_id=e_1118f111f1e3 source=n_4ff06b1374b0 edge_type=supports target=n_416f3c70fcd5\nt=0046 ADD_EDGE edge_id=e_836892e82018 source=n_862e7641da6c edge_type=supports target=n_ba9fbadd5378\nt=0047 ADD_EDGE edge_id=e_a6538eff0d39 source=n_4c07a465bb11 edge_type=refutes target=n_d3bbefc0f36a\nt=0048 ADD_EDGE edge_id=e_e026e5b1cf3b source=n_54726689a659 edge_type=supports target=n_862e7641da6c\nt=0049 ADD_EDGE edge_id=e_61edc382c772 source=n_4ff06b1374b0 edge_type=supports target=n_69e379099ab8\nt=0050 ADD_EDGE edge_id=e_dcca64721200 source=n_b3647a61f5d1 edge_type=refutes target=n_4ff06b1374b0\nt=0051 ADD_EDGE edge_id=e_8595a4efe32e source=n_5eeafd37c9a0 edge_type=supports target=n_b3647a61f5d1\nt=0052 ADD_EDGE edge_id=e_668d1b6dc3b3 source=n_dd0e1cfe9c53 edge_type=refutes target=n_1d3d58c48527\nt=0053 ADD_EDGE edge_id=e_2b9a36c3047a source=n_12dedd24e7a2 edge_type=refutes target=n_f6cb0f00ba49\nt=0054 ADD_EDGE edge_id=e_9d15f2334f10 source=n_13adf837bac2 edge_type=refutes target=n_a6185c3b208c\nt=0055 ADD_EDGE edge_id=e_fe04844210d3 source=n_5b44a6b55be1 edge_type=supports target=n_72b2adb79815\nt=0056 ADD_EDGE edge_id=e_e5643d981166 source=n_5eeafd37c9a0 edge_type=supports target=n_161b24d01f22\nt=0057 ADD_EDGE edge_id=e_0f29c8b7a0fd source=n_862e7641da6c edge_type=supports target=n_01a08fe44759\nt=0058 ADD_EDGE edge_id=e_7ad1aaec06ff source=n_862e7641da6c edge_type=refutes target=n_b46519ee9d55\nt=0059 QUERY source=n_5b44a6b55be1 target=n_6da07cd8c9c8\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2804,"provenance":{"base_record_id":"train-d10-027","dataset":"livegraph-deterministic-parity-v3","depth":10,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d10-027","split":"train","variant":"clean"},"record_seed":966388587213457867,"render_sha256":"8d2abd92aa0920a240f9d190e0772d1f105948ffcf3f61e715cf4086bbf87d3b","representation":"linear_trace","semantic_sha256":"dad8e5da81053fd242665e9eb93c326fa2d50d29670410393b56b3efbc58f1ac"}
{"char_count":5084,"item_id":"train-d10-028::linear_trace","label":"TRUE","lexical_token_proxy_count":868,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_34fbf593faff node_type=claim\nt=0001 CREATE_NODE id=n_060029f31d8b node_type=claim\nt=0002 CREATE_NODE id=n_b6a7c184aab3 node_type=claim\nt=0003 CREATE_NODE id=n_34fb38729ac8 node_type=claim\nt=0004 CREATE_NODE id=n_a3a4d31af2fb node_type=claim\nt=0005 CREATE_NODE id=n_774572b9661f node_type=claim\nt=0006 CREATE_NODE id=n_ab537c7459c8 node_type=claim\nt=0007 CREATE_NODE id=n_633d889a7016 node_type=claim\nt=0008 CREATE_NODE id=n_f1a1be0fad70 node_type=claim\nt=0009 CREATE_NODE id=n_23efe70e834e node_type=claim\nt=0010 CREATE_NODE id=n_d8e3cf997cd9 node_type=claim\nt=0011 CREATE_NODE id=n_4e378991deef node_type=claim\nt=0012 CREATE_NODE id=n_41f3f042e161 node_type=claim\nt=0013 CREATE_NODE id=n_6b3e22d165f1 node_type=claim\nt=0014 CREATE_NODE id=n_f16f6a15a222 node_type=claim\nt=0015 CREATE_NODE id=n_c3e9e3e62f21 node_type=claim\nt=0016 CREATE_NODE id=n_45a8f993fcb2 node_type=claim\nt=0017 CREATE_NODE id=n_380a3b69bd63 node_type=claim\nt=0018 CREATE_NODE id=n_45a02d3ffabe node_type=claim\nt=0019 CREATE_NODE id=n_9bb12d78f27f node_type=claim\nt=0020 CREATE_NODE id=n_ce1da7415fe4 node_type=claim\nt=0021 CREATE_NODE id=n_6773c5c62088 node_type=claim\nt=0022 CREATE_NODE id=n_cf2b3ab688eb node_type=claim\nt=0023 CREATE_NODE id=n_94276032bb03 node_type=claim\nt=0024 CREATE_NODE id=n_2ef65d16429b node_type=claim\nt=0025 CREATE_NODE id=n_0aa6450d96d4 node_type=claim\nt=0026 CREATE_NODE id=n_ce21ae2c407d node_type=claim\nt=0027 CREATE_NODE id=n_e99fcba06ed6 node_type=claim\nt=0028 CREATE_NODE id=n_58a8b15804c8 node_type=claim\nt=0029 CREATE_NODE id=n_2affcbed827c node_type=claim\nt=0030 ASSERT_ROOT node=n_41f3f042e161 value=TRUE\nt=0031 ADD_EDGE edge_id=e_4fa258202ef2 source=n_d8e3cf997cd9 edge_type=refutes target=n_cf2b3ab688eb\nt=0032 ADD_EDGE edge_id=e_9664f7e18233 source=n_94276032bb03 edge_type=supports target=n_ce21ae2c407d\nt=0033 ADD_EDGE edge_id=e_6bd554c35f2e source=n_45a02d3ffabe edge_type=refutes target=n_060029f31d8b\nt=0034 ADD_EDGE edge_id=e_336bebce263b source=n_45a8f993fcb2 edge_type=refutes target=n_4e378991deef\nt=0035 ADD_EDGE edge_id=e_c4807d63bb09 source=n_45a8f993fcb2 edge_type=supports target=n_380a3b69bd63\nt=0036 ADD_EDGE edge_id=e_22404b059dc5 source=n_060029f31d8b edge_type=supports target=n_f16f6a15a222\nt=0037 ADD_EDGE edge_id=e_b263a6883892 source=n_9bb12d78f27f edge_type=supports target=n_ab537c7459c8\nt=0038 ADD_EDGE edge_id=e_84eba88680f4 source=n_0aa6450d96d4 edge_type=supports target=n_45a02d3ffabe\nt=0039 ADD_EDGE edge_id=e_9c2896d39a8b source=n_d8e3cf997cd9 edge_type=supports target=n_ce1da7415fe4\nt=0040 ADD_EDGE edge_id=e_1243621e0fba source=n_45a02d3ffabe edge_type=refutes target=n_45a8f993fcb2\nt=0041 ADD_EDGE edge_id=e_f2669b87df75 source=n_34fb38729ac8 edge_type=refutes target=n_2ef65d16429b\nt=0042 ADD_EDGE edge_id=e_daa4e34ac96b source=n_34fbf593faff edge_type=refutes target=n_23efe70e834e\nt=0043 ADD_EDGE edge_id=e_d879a0dd7935 source=n_c3e9e3e62f21 edge_type=refutes target=n_34fbf593faff\nt=0044 ADD_EDGE edge_id=e_90b7d17f8306 source=n_e99fcba06ed6 edge_type=refutes target=n_2affcbed827c\nt=0045 ADD_EDGE edge_id=e_474cb477c8d7 source=n_9bb12d78f27f edge_type=refutes target=n_633d889a7016\nt=0046 ADD_EDGE edge_id=e_f3fe5be821c9 source=n_34fbf593faff edge_type=supports target=n_b6a7c184aab3\nt=0047 ADD_EDGE edge_id=e_12bb79f30f7b source=n_6773c5c62088 edge_type=refutes target=n_6b3e22d165f1\nt=0048 ADD_EDGE edge_id=e_e13826396328 source=n_633d889a7016 edge_type=supports target=n_a3a4d31af2fb\nt=0049 ADD_EDGE edge_id=e_b204ada9562b source=n_d8e3cf997cd9 edge_type=refutes target=n_774572b9661f\nt=0050 ADD_EDGE edge_id=e_c405e8822252 source=n_f1a1be0fad70 edge_type=supports target=n_9bb12d78f27f\nt=0051 ADD_EDGE edge_id=e_79a4dc5a4cd7 source=n_45a02d3ffabe edge_type=supports target=n_6773c5c62088\nt=0052 ADD_EDGE edge_id=e_fb8a8e954342 source=n_d8e3cf997cd9 edge_type=refutes target=n_0aa6450d96d4\nt=0053 ADD_EDGE edge_id=e_aeb3e6f2c1b8 source=n_b6a7c184aab3 edge_type=supports target=n_f1a1be0fad70\nt=0054 ADD_EDGE edge_id=e_ecd2ecfe560b source=n_41f3f042e161 edge_type=refutes target=n_c3e9e3e62f21\nt=0055 ADD_EDGE edge_id=e_4244e92ef098 source=n_a3a4d31af2fb edge_type=refutes target=n_e99fcba06ed6\nt=0056 ADD_EDGE edge_id=e_977ca9938bb2 source=n_f16f6a15a222 edge_type=supports target=n_34fb38729ac8\nt=0057 ADD_EDGE edge_id=e_d11148470d4a source=n_633d889a7016 edge_type=supports target=n_58a8b15804c8\nt=0058 ADD_EDGE edge_id=e_8e8dfe0d0e21 source=n_e99fcba06ed6 edge_type=supports target=n_94276032bb03\nt=0059 QUERY source=n_41f3f042e161 target=n_ce21ae2c407d\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2802,"provenance":{"base_record_id":"train-d10-028","dataset":"livegraph-deterministic-parity-v3","depth":10,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d10-028","split":"train","variant":"clean"},"record_seed":57276833729504972,"render_sha256":"f11b813165de1c1a190197a7d4d6c7423db6ab68f96c79dee0174b096d5aa423","representation":"linear_trace","semantic_sha256":"04b2a23bea7d36f93133ffcfba9925a25fac976d570d8dad55a8de25749a445d"}
{"char_count":5084,"item_id":"train-d10-029::linear_trace","label":"FALSE","lexical_token_proxy_count":868,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_e92d8a1b3bc6 node_type=claim\nt=0001 CREATE_NODE id=n_c4006c50e7d8 node_type=claim\nt=0002 CREATE_NODE id=n_0bde4b2dfab9 node_type=claim\nt=0003 CREATE_NODE id=n_d487d475bf6a node_type=claim\nt=0004 CREATE_NODE id=n_234dccf99561 node_type=claim\nt=0005 CREATE_NODE id=n_cfb0a8efffda node_type=claim\nt=0006 CREATE_NODE id=n_5bbf78233b7d node_type=claim\nt=0007 CREATE_NODE id=n_cd44da0f5308 node_type=claim\nt=0008 CREATE_NODE id=n_2d50afe8de92 node_type=claim\nt=0009 CREATE_NODE id=n_ef09ed954f7c node_type=claim\nt=0010 CREATE_NODE id=n_7ad54505576a node_type=claim\nt=0011 CREATE_NODE id=n_18122a27dfb9 node_type=claim\nt=0012 CREATE_NODE id=n_4bb985204795 node_type=claim\nt=0013 CREATE_NODE id=n_d30404939c2d node_type=claim\nt=0014 CREATE_NODE id=n_38db5e9d34dd node_type=claim\nt=0015 CREATE_NODE id=n_19289c01223b node_type=claim\nt=0016 CREATE_NODE id=n_939b59a9de09 node_type=claim\nt=0017 CREATE_NODE id=n_b68ea9469bb5 node_type=claim\nt=0018 CREATE_NODE id=n_bb647093d98e node_type=claim\nt=0019 CREATE_NODE id=n_873f79947408 node_type=claim\nt=0020 CREATE_NODE id=n_d93457370418 node_type=claim\nt=0021 CREATE_NODE id=n_eaef72ed3bad node_type=claim\nt=0022 CREATE_NODE id=n_8b8db2350e69 node_type=claim\nt=0023 CREATE_NODE id=n_b5cd81553da8 node_type=claim\nt=0024 CREATE_NODE id=n_e15bd938cfd2 node_type=claim\nt=0025 CREATE_NODE id=n_a9d2a29f0a65 node_type=claim\nt=0026 CREATE_NODE id=n_afdab9fe8b15 node_type=claim\nt=0027 CREATE_NODE id=n_c8229da9e35a node_type=claim\nt=0028 CREATE_NODE id=n_8db19824a645 node_type=claim\nt=0029 CREATE_NODE id=n_e536b074f1c0 node_type=claim\nt=0030 ASSERT_ROOT node=n_b5cd81553da8 value=TRUE\nt=0031 ADD_EDGE edge_id=e_866e0c22cf5e source=n_b5cd81553da8 edge_type=refutes target=n_38db5e9d34dd\nt=0032 ADD_EDGE edge_id=e_2fb0d10bb3f9 source=n_2d50afe8de92 edge_type=supports target=n_ef09ed954f7c\nt=0033 ADD_EDGE edge_id=e_29438b89ece5 source=n_4bb985204795 edge_type=refutes target=n_5bbf78233b7d\nt=0034 ADD_EDGE edge_id=e_575f38d496e6 source=n_c4006c50e7d8 edge_type=refutes target=n_cd44da0f5308\nt=0035 ADD_EDGE edge_id=e_15922899ef17 source=n_234dccf99561 edge_type=supports target=n_afdab9fe8b15\nt=0036 ADD_EDGE edge_id=e_b2cc39df8188 source=n_afdab9fe8b15 edge_type=supports target=n_19289c01223b\nt=0037 ADD_EDGE edge_id=e_6dacc82cb85e source=n_234dccf99561 edge_type=supports target=n_2d50afe8de92\nt=0038 ADD_EDGE edge_id=e_0a2111f3f3b4 source=n_b5cd81553da8 edge_type=supports target=n_873f79947408\nt=0039 ADD_EDGE edge_id=e_ec1b008eee2b source=n_d30404939c2d edge_type=supports target=n_eaef72ed3bad\nt=0040 ADD_EDGE edge_id=e_041db52d41ab source=n_d93457370418 edge_type=refutes target=n_e92d8a1b3bc6\nt=0041 ADD_EDGE edge_id=e_880099b0b0a7 source=n_b68ea9469bb5 edge_type=refutes target=n_a9d2a29f0a65\nt=0042 ADD_EDGE edge_id=e_19f895686a5e source=n_18122a27dfb9 edge_type=refutes target=n_0bde4b2dfab9\nt=0043 ADD_EDGE edge_id=e_a5745b8d0217 source=n_2d50afe8de92 edge_type=refutes target=n_8b8db2350e69\nt=0044 ADD_EDGE edge_id=e_4e976bbfef1d source=n_a9d2a29f0a65 edge_type=refutes target=n_7ad54505576a\nt=0045 ADD_EDGE edge_id=e_a3429d874672 source=n_c4006c50e7d8 edge_type=refutes target=n_4bb985204795\nt=0046 ADD_EDGE edge_id=e_6745a12e72e3 source=n_2d50afe8de92 edge_type=refutes target=n_18122a27dfb9\nt=0047 ADD_EDGE edge_id=e_ad0515383ddc source=n_5bbf78233b7d edge_type=supports target=n_b68ea9469bb5\nt=0048 ADD_EDGE edge_id=e_bd4db807db5a source=n_7ad54505576a edge_type=refutes target=n_939b59a9de09\nt=0049 ADD_EDGE edge_id=e_123baad801ad source=n_bb647093d98e edge_type=supports target=n_c4006c50e7d8\nt=0050 ADD_EDGE edge_id=e_1a05baadb684 source=n_939b59a9de09 edge_type=supports target=n_cfb0a8efffda\nt=0051 ADD_EDGE edge_id=e_9ce8ab39bff4 source=n_2d50afe8de92 edge_type=supports target=n_d93457370418\nt=0052 ADD_EDGE edge_id=e_2bc427c429b7 source=n_d30404939c2d edge_type=supports target=n_d487d475bf6a\nt=0053 ADD_EDGE edge_id=e_d0c8f32bc4cb source=n_8db19824a645 edge_type=refutes target=n_bb647093d98e\nt=0054 ADD_EDGE edge_id=e_d6c56b40e2e1 source=n_234dccf99561 edge_type=supports target=n_c8229da9e35a\nt=0055 ADD_EDGE edge_id=e_f367e39a5c6a source=n_8b8db2350e69 edge_type=refutes target=n_e15bd938cfd2\nt=0056 ADD_EDGE edge_id=e_d7bbda704169 source=n_38db5e9d34dd edge_type=supports target=n_8db19824a645\nt=0057 ADD_EDGE edge_id=e_98c5a3e1ce51 source=n_939b59a9de09 edge_type=refutes target=n_e536b074f1c0\nt=0058 ADD_EDGE edge_id=e_7c88717bbe91 source=n_2d50afe8de92 edge_type=supports target=n_d30404939c2d\nt=0059 QUERY source=n_b5cd81553da8 target=n_939b59a9de09\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2794,"provenance":{"base_record_id":"train-d10-029","dataset":"livegraph-deterministic-parity-v3","depth":10,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d10-029","split":"train","variant":"clean"},"record_seed":203957716097151302,"render_sha256":"c303f6a9b5ba51a16f49eee510feba639aea3797883bb1386a422e941a7561ee","representation":"linear_trace","semantic_sha256":"3e53431fa104a26b283640ab2329944ee8559eef24c8f2c850f6b770b0653a5a"}
{"char_count":5085,"item_id":"train-d10-030::linear_trace","label":"TRUE","lexical_token_proxy_count":868,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_5334430b0f1d node_type=claim\nt=0001 CREATE_NODE id=n_540190663010 node_type=claim\nt=0002 CREATE_NODE id=n_37369eef85ea node_type=claim\nt=0003 CREATE_NODE id=n_de76ddc89ffe node_type=claim\nt=0004 CREATE_NODE id=n_aa488803a77a node_type=claim\nt=0005 CREATE_NODE id=n_1ebef8c99ddc node_type=claim\nt=0006 CREATE_NODE id=n_23711f76347f node_type=claim\nt=0007 CREATE_NODE id=n_0c5d191236f5 node_type=claim\nt=0008 CREATE_NODE id=n_9d0a10ff737c node_type=claim\nt=0009 CREATE_NODE id=n_4546e5abff6d node_type=claim\nt=0010 CREATE_NODE id=n_6011fa03f8a2 node_type=claim\nt=0011 CREATE_NODE id=n_23a8395e99d2 node_type=claim\nt=0012 CREATE_NODE id=n_79db214d10f9 node_type=claim\nt=0013 CREATE_NODE id=n_dc7ab6454597 node_type=claim\nt=0014 CREATE_NODE id=n_bd56af87c355 node_type=claim\nt=0015 CREATE_NODE id=n_ba58b5bf53a2 node_type=claim\nt=0016 CREATE_NODE id=n_a43004907891 node_type=claim\nt=0017 CREATE_NODE id=n_a5d9cd701395 node_type=claim\nt=0018 CREATE_NODE id=n_e8a66df03749 node_type=claim\nt=0019 CREATE_NODE id=n_c1429c59d044 node_type=claim\nt=0020 CREATE_NODE id=n_230da48a47b1 node_type=claim\nt=0021 CREATE_NODE id=n_bb7edbcc10b1 node_type=claim\nt=0022 CREATE_NODE id=n_cfa057b4251c node_type=claim\nt=0023 CREATE_NODE id=n_5469f83e9dc4 node_type=claim\nt=0024 CREATE_NODE id=n_f8ed07ad1c21 node_type=claim\nt=0025 CREATE_NODE id=n_24032db81b47 node_type=claim\nt=0026 CREATE_NODE id=n_b0e34d197829 node_type=claim\nt=0027 CREATE_NODE id=n_d9379cfe1224 node_type=claim\nt=0028 CREATE_NODE id=n_d3a8b5413119 node_type=claim\nt=0029 CREATE_NODE id=n_0c4805a39bc9 node_type=claim\nt=0030 ASSERT_ROOT node=n_6011fa03f8a2 value=FALSE\nt=0031 ADD_EDGE edge_id=e_bb683e34181d source=n_23a8395e99d2 edge_type=refutes target=n_d3a8b5413119\nt=0032 ADD_EDGE edge_id=e_d3995986d368 source=n_f8ed07ad1c21 edge_type=supports target=n_0c5d191236f5\nt=0033 ADD_EDGE edge_id=e_fccf6b8bb2d8 source=n_79db214d10f9 edge_type=refutes target=n_24032db81b47\nt=0034 ADD_EDGE edge_id=e_18b2a3fd98f4 source=n_79db214d10f9 edge_type=supports target=n_9d0a10ff737c\nt=0035 ADD_EDGE edge_id=e_6677b02175d1 source=n_de76ddc89ffe edge_type=refutes target=n_37369eef85ea\nt=0036 ADD_EDGE edge_id=e_b8110fe8531f source=n_a43004907891 edge_type=supports target=n_4546e5abff6d\nt=0037 ADD_EDGE edge_id=e_1bd9d0435833 source=n_de76ddc89ffe edge_type=refutes target=n_ba58b5bf53a2\nt=0038 ADD_EDGE edge_id=e_7a2e866fc2ff source=n_79db214d10f9 edge_type=refutes target=n_bb7edbcc10b1\nt=0039 ADD_EDGE edge_id=e_c6948104182c source=n_23a8395e99d2 edge_type=refutes target=n_d9379cfe1224\nt=0040 ADD_EDGE edge_id=e_64c4643e0abc source=n_0c5d191236f5 edge_type=supports target=n_dc7ab6454597\nt=0041 ADD_EDGE edge_id=e_ee7c55212e10 source=n_a5d9cd701395 edge_type=supports target=n_540190663010\nt=0042 ADD_EDGE edge_id=e_bc6f9a5ba277 source=n_b0e34d197829 edge_type=refutes target=n_23a8395e99d2\nt=0043 ADD_EDGE edge_id=e_e39d8f7cdcf0 source=n_0c5d191236f5 edge_type=supports target=n_0c4805a39bc9\nt=0044 ADD_EDGE edge_id=e_7af5d59b6ff9 source=n_6011fa03f8a2 edge_type=supports target=n_e8a66df03749\nt=0045 ADD_EDGE edge_id=e_a6891473a155 source=n_230da48a47b1 edge_type=refutes target=n_a43004907891\nt=0046 ADD_EDGE edge_id=e_7b2b85083c05 source=n_cfa057b4251c edge_type=supports target=n_de76ddc89ffe\nt=0047 ADD_EDGE edge_id=e_5760d4ed9d5a source=n_79db214d10f9 edge_type=refutes target=n_aa488803a77a\nt=0048 ADD_EDGE edge_id=e_eb6c58220394 source=n_5469f83e9dc4 edge_type=supports target=n_a5d9cd701395\nt=0049 ADD_EDGE edge_id=e_76e3b9eb9d0a source=n_aa488803a77a edge_type=supports target=n_23711f76347f\nt=0050 ADD_EDGE edge_id=e_0d9adf5bc848 source=n_0c5d191236f5 edge_type=supports target=n_bd56af87c355\nt=0051 ADD_EDGE edge_id=e_897c210376ec source=n_79db214d10f9 edge_type=refutes target=n_c1429c59d044\nt=0052 ADD_EDGE edge_id=e_600f2104c803 source=n_230da48a47b1 edge_type=supports target=n_1ebef8c99ddc\nt=0053 ADD_EDGE edge_id=e_b9fe32ac159b source=n_e8a66df03749 edge_type=refutes target=n_f8ed07ad1c21\nt=0054 ADD_EDGE edge_id=e_11fc851231d8 source=n_230da48a47b1 edge_type=supports target=n_5334430b0f1d\nt=0055 ADD_EDGE edge_id=e_2789d343f274 source=n_79db214d10f9 edge_type=refutes target=n_230da48a47b1\nt=0056 ADD_EDGE edge_id=e_d2a1d74dd64e source=n_ba58b5bf53a2 edge_type=supports target=n_b0e34d197829\nt=0057 ADD_EDGE edge_id=e_3fc0a5b2afed source=n_a43004907891 edge_type=refutes target=n_5469f83e9dc4\nt=0058 ADD_EDGE edge_id=e_3dc5cdf862b7 source=n_0c4805a39bc9 edge_type=refutes target=n_cfa057b4251c\nt=0059 QUERY source=n_6011fa03f8a2 target=n_d3a8b5413119\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2830,"provenance":{"base_record_id":"train-d10-030","dataset":"livegraph-deterministic-parity-v3","depth":10,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d10-030","split":"train","variant":"clean"},"record_seed":401474804965077537,"render_sha256":"2f47574d29ae7e6dfdfa4fe21b94ba5ca07d490f39357f671d5f27ebd65bb139","representation":"linear_trace","semantic_sha256":"d5a571b36fba05372eb1a1be8140fc75e1304f6e0b7bd76dae501a20feb93ee1"}
{"char_count":5085,"item_id":"train-d10-031::linear_trace","label":"FALSE","lexical_token_proxy_count":868,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_53988ba55feb node_type=claim\nt=0001 CREATE_NODE id=n_fdcb48d68411 node_type=claim\nt=0002 CREATE_NODE id=n_3899f5b7c610 node_type=claim\nt=0003 CREATE_NODE id=n_0a51e07daa95 node_type=claim\nt=0004 CREATE_NODE id=n_207cbdbcd84b node_type=claim\nt=0005 CREATE_NODE id=n_28cb27456a18 node_type=claim\nt=0006 CREATE_NODE id=n_eecd14989266 node_type=claim\nt=0007 CREATE_NODE id=n_b519df5383db node_type=claim\nt=0008 CREATE_NODE id=n_5b92a738c7df node_type=claim\nt=0009 CREATE_NODE id=n_2d20ac036720 node_type=claim\nt=0010 CREATE_NODE id=n_4de868ee4292 node_type=claim\nt=0011 CREATE_NODE id=n_5431b69415f7 node_type=claim\nt=0012 CREATE_NODE id=n_7d4bcafabaef node_type=claim\nt=0013 CREATE_NODE id=n_2280968f0e12 node_type=claim\nt=0014 CREATE_NODE id=n_b6cfe6bd19b1 node_type=claim\nt=0015 CREATE_NODE id=n_777d1c877089 node_type=claim\nt=0016 CREATE_NODE id=n_61927dba65bd node_type=claim\nt=0017 CREATE_NODE id=n_5df566016011 node_type=claim\nt=0018 CREATE_NODE id=n_e55d7953776a node_type=claim\nt=0019 CREATE_NODE id=n_b2fd0a85f54b node_type=claim\nt=0020 CREATE_NODE id=n_9fd4a354c72c node_type=claim\nt=0021 CREATE_NODE id=n_0736bde18d62 node_type=claim\nt=0022 CREATE_NODE id=n_f07c7c50f381 node_type=claim\nt=0023 CREATE_NODE id=n_4c3049317a99 node_type=claim\nt=0024 CREATE_NODE id=n_0ef8c58e95aa node_type=claim\nt=0025 CREATE_NODE id=n_346bcb9f86ee node_type=claim\nt=0026 CREATE_NODE id=n_ec6dbcfd7302 node_type=claim\nt=0027 CREATE_NODE id=n_3458674b3442 node_type=claim\nt=0028 CREATE_NODE id=n_b24a1569db76 node_type=claim\nt=0029 CREATE_NODE id=n_fad2458661d1 node_type=claim\nt=0030 ASSERT_ROOT node=n_2280968f0e12 value=FALSE\nt=0031 ADD_EDGE edge_id=e_814628938dc6 source=n_b2fd0a85f54b edge_type=supports target=n_ec6dbcfd7302\nt=0032 ADD_EDGE edge_id=e_38a4d8c642a3 source=n_3458674b3442 edge_type=refutes target=n_777d1c877089\nt=0033 ADD_EDGE edge_id=e_6672f96761a2 source=n_b2fd0a85f54b edge_type=supports target=n_61927dba65bd\nt=0034 ADD_EDGE edge_id=e_0549bba7cf57 source=n_f07c7c50f381 edge_type=supports target=n_fad2458661d1\nt=0035 ADD_EDGE edge_id=e_67e7e1a2afdf source=n_5431b69415f7 edge_type=supports target=n_b2fd0a85f54b\nt=0036 ADD_EDGE edge_id=e_04d0963b990e source=n_7d4bcafabaef edge_type=supports target=n_0a51e07daa95\nt=0037 ADD_EDGE edge_id=e_736ba0f0b7b6 source=n_ec6dbcfd7302 edge_type=refutes target=n_3458674b3442\nt=0038 ADD_EDGE edge_id=e_c88495269e98 source=n_4c3049317a99 edge_type=supports target=n_4de868ee4292\nt=0039 ADD_EDGE edge_id=e_75b545d06f62 source=n_5b92a738c7df edge_type=refutes target=n_207cbdbcd84b\nt=0040 ADD_EDGE edge_id=e_11cf80656e76 source=n_4de868ee4292 edge_type=refutes target=n_346bcb9f86ee\nt=0041 ADD_EDGE edge_id=e_1defd409a9af source=n_2280968f0e12 edge_type=supports target=n_53988ba55feb\nt=0042 ADD_EDGE edge_id=e_abffacddd370 source=n_e55d7953776a edge_type=supports target=n_b24a1569db76\nt=0043 ADD_EDGE edge_id=e_3136278d1c84 source=n_b2fd0a85f54b edge_type=refutes target=n_fdcb48d68411\nt=0044 ADD_EDGE edge_id=e_8521a17a72e9 source=n_61927dba65bd edge_type=supports target=n_0ef8c58e95aa\nt=0045 ADD_EDGE edge_id=e_4f1d05452757 source=n_5431b69415f7 edge_type=supports target=n_28cb27456a18\nt=0046 ADD_EDGE edge_id=e_f02760674c9a source=n_f07c7c50f381 edge_type=refutes target=n_2d20ac036720\nt=0047 ADD_EDGE edge_id=e_f1f22e1aa851 source=n_53988ba55feb edge_type=refutes target=n_e55d7953776a\nt=0048 ADD_EDGE edge_id=e_f43b7bf65eb7 source=n_eecd14989266 edge_type=refutes target=n_b6cfe6bd19b1\nt=0049 ADD_EDGE edge_id=e_6bb076f8a95c source=n_f07c7c50f381 edge_type=refutes target=n_5df566016011\nt=0050 ADD_EDGE edge_id=e_15163724e941 source=n_346bcb9f86ee edge_type=refutes target=n_f07c7c50f381\nt=0051 ADD_EDGE edge_id=e_2354a26f3602 source=n_2d20ac036720 edge_type=supports target=n_eecd14989266\nt=0052 ADD_EDGE edge_id=e_0f574ed2b666 source=n_b2fd0a85f54b edge_type=supports target=n_3899f5b7c610\nt=0053 ADD_EDGE edge_id=e_eacaa20804f9 source=n_b2fd0a85f54b edge_type=refutes target=n_7d4bcafabaef\nt=0054 ADD_EDGE edge_id=e_d12924f728ea source=n_b24a1569db76 edge_type=refutes target=n_4c3049317a99\nt=0055 ADD_EDGE edge_id=e_2a7c3b855c8e source=n_4c3049317a99 edge_type=refutes target=n_b519df5383db\nt=0056 ADD_EDGE edge_id=e_fa85bbd3893a source=n_5431b69415f7 edge_type=supports target=n_9fd4a354c72c\nt=0057 ADD_EDGE edge_id=e_2c33fb2ed188 source=n_7d4bcafabaef edge_type=supports target=n_5b92a738c7df\nt=0058 ADD_EDGE edge_id=e_ee6414e1716d source=n_4c3049317a99 edge_type=refutes target=n_0736bde18d62\nt=0059 QUERY source=n_2280968f0e12 target=n_b6cfe6bd19b1\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2809,"provenance":{"base_record_id":"train-d10-031","dataset":"livegraph-deterministic-parity-v3","depth":10,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d10-031","split":"train","variant":"clean"},"record_seed":408894414912388748,"render_sha256":"87dd2938411253699a3cabb0664430daa4fb085870c2da4b5c60b60e3f951062","representation":"linear_trace","semantic_sha256":"376ade0cbef135f3a0dec33890372815de0438bbc7379dfff48a24ff6326707c"}
{"char_count":5084,"item_id":"train-d10-032::linear_trace","label":"TRUE","lexical_token_proxy_count":868,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_7d23658107af node_type=claim\nt=0001 CREATE_NODE id=n_fb0c73c28ca6 node_type=claim\nt=0002 CREATE_NODE id=n_284b3ddfbbda node_type=claim\nt=0003 CREATE_NODE id=n_f3540b34b696 node_type=claim\nt=0004 CREATE_NODE id=n_4331826ed099 node_type=claim\nt=0005 CREATE_NODE id=n_b4d461f43f7e node_type=claim\nt=0006 CREATE_NODE id=n_9172108aaaa8 node_type=claim\nt=0007 CREATE_NODE id=n_452bf7e13109 node_type=claim\nt=0008 CREATE_NODE id=n_99af594b7b86 node_type=claim\nt=0009 CREATE_NODE id=n_28bc608641e5 node_type=claim\nt=0010 CREATE_NODE id=n_74aa2d4326d2 node_type=claim\nt=0011 CREATE_NODE id=n_d3889f530471 node_type=claim\nt=0012 CREATE_NODE id=n_cfecde4f4132 node_type=claim\nt=0013 CREATE_NODE id=n_5e526cef6542 node_type=claim\nt=0014 CREATE_NODE id=n_6305b9fc721e node_type=claim\nt=0015 CREATE_NODE id=n_68813f3774f4 node_type=claim\nt=0016 CREATE_NODE id=n_3f28357667e2 node_type=claim\nt=0017 CREATE_NODE id=n_b7b241ff602e node_type=claim\nt=0018 CREATE_NODE id=n_1db7b2a74219 node_type=claim\nt=0019 CREATE_NODE id=n_badf5330ae92 node_type=claim\nt=0020 CREATE_NODE id=n_ce048e01b103 node_type=claim\nt=0021 CREATE_NODE id=n_b11a439b759f node_type=claim\nt=0022 CREATE_NODE id=n_1b80d3a9d19f node_type=claim\nt=0023 CREATE_NODE id=n_ad7ff1c1ed87 node_type=claim\nt=0024 CREATE_NODE id=n_4aa150d40957 node_type=claim\nt=0025 CREATE_NODE id=n_1f02781a09ab node_type=claim\nt=0026 CREATE_NODE id=n_a88afdabbf54 node_type=claim\nt=0027 CREATE_NODE id=n_f9c4515a7152 node_type=claim\nt=0028 CREATE_NODE id=n_d63d0df437ba node_type=claim\nt=0029 CREATE_NODE id=n_4638016457e1 node_type=claim\nt=0030 ASSERT_ROOT node=n_7d23658107af value=TRUE\nt=0031 ADD_EDGE edge_id=e_fdf1f34f87dd source=n_f9c4515a7152 edge_type=supports target=n_68813f3774f4\nt=0032 ADD_EDGE edge_id=e_09b093b54ce9 source=n_74aa2d4326d2 edge_type=refutes target=n_5e526cef6542\nt=0033 ADD_EDGE edge_id=e_9ea57d6b0a29 source=n_1f02781a09ab edge_type=refutes target=n_d63d0df437ba\nt=0034 ADD_EDGE edge_id=e_e61f16a0ce6a source=n_badf5330ae92 edge_type=refutes target=n_4aa150d40957\nt=0035 ADD_EDGE edge_id=e_5b26ac6d9530 source=n_99af594b7b86 edge_type=supports target=n_f9c4515a7152\nt=0036 ADD_EDGE edge_id=e_f1b84e164e87 source=n_1f02781a09ab edge_type=supports target=n_6305b9fc721e\nt=0037 ADD_EDGE edge_id=e_13511db25209 source=n_ce048e01b103 edge_type=supports target=n_4638016457e1\nt=0038 ADD_EDGE edge_id=e_4edec07da502 source=n_b4d461f43f7e edge_type=supports target=n_a88afdabbf54\nt=0039 ADD_EDGE edge_id=e_2c2f31864541 source=n_74aa2d4326d2 edge_type=supports target=n_b7b241ff602e\nt=0040 ADD_EDGE edge_id=e_262e8130a18b source=n_ce048e01b103 edge_type=supports target=n_b11a439b759f\nt=0041 ADD_EDGE edge_id=e_77a5ba6cb939 source=n_fb0c73c28ca6 edge_type=supports target=n_28bc608641e5\nt=0042 ADD_EDGE edge_id=e_25fb13bc62a5 source=n_3f28357667e2 edge_type=refutes target=n_99af594b7b86\nt=0043 ADD_EDGE edge_id=e_f86845d5e74d source=n_ce048e01b103 edge_type=refutes target=n_cfecde4f4132\nt=0044 ADD_EDGE edge_id=e_4cf4d88edf75 source=n_a88afdabbf54 edge_type=supports target=n_452bf7e13109\nt=0045 ADD_EDGE edge_id=e_37b950f4f3c3 source=n_b7b241ff602e edge_type=supports target=n_d3889f530471\nt=0046 ADD_EDGE edge_id=e_3158179431b0 source=n_d63d0df437ba edge_type=refutes target=n_fb0c73c28ca6\nt=0047 ADD_EDGE edge_id=e_4dc23fa3583c source=n_f3540b34b696 edge_type=supports target=n_badf5330ae92\nt=0048 ADD_EDGE edge_id=e_34ae82799fc3 source=n_7d23658107af edge_type=refutes target=n_ad7ff1c1ed87\nt=0049 ADD_EDGE edge_id=e_a931a80c80ce source=n_f3540b34b696 edge_type=refutes target=n_284b3ddfbbda\nt=0050 ADD_EDGE edge_id=e_916058d96934 source=n_452bf7e13109 edge_type=refutes target=n_f3540b34b696\nt=0051 ADD_EDGE edge_id=e_13611624c52b source=n_f9c4515a7152 edge_type=refutes target=n_b4d461f43f7e\nt=0052 ADD_EDGE edge_id=e_056326323b3a source=n_1f02781a09ab edge_type=supports target=n_4331826ed099\nt=0053 ADD_EDGE edge_id=e_ad1b83eed8b3 source=n_ce048e01b103 edge_type=refutes target=n_1f02781a09ab\nt=0054 ADD_EDGE edge_id=e_d07f882c5232 source=n_ad7ff1c1ed87 edge_type=refutes target=n_3f28357667e2\nt=0055 ADD_EDGE edge_id=e_5742accde7aa source=n_ad7ff1c1ed87 edge_type=supports target=n_1db7b2a74219\nt=0056 ADD_EDGE edge_id=e_4e644a953d8d source=n_74aa2d4326d2 edge_type=refutes target=n_1b80d3a9d19f\nt=0057 ADD_EDGE edge_id=e_8f7231696454 source=n_ce048e01b103 edge_type=supports target=n_74aa2d4326d2\nt=0058 ADD_EDGE edge_id=e_7eeb67b9922b source=n_a88afdabbf54 edge_type=refutes target=n_9172108aaaa8\nt=0059 QUERY source=n_7d23658107af target=n_4aa150d40957\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2823,"provenance":{"base_record_id":"train-d10-032","dataset":"livegraph-deterministic-parity-v3","depth":10,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d10-032","split":"train","variant":"clean"},"record_seed":480875396205883654,"render_sha256":"17e0f07efdfcd3ea5a44f599252fc916de321ab0d920957829f39739941ce939","representation":"linear_trace","semantic_sha256":"88fe3acbb7eef48467e762f5cbd7bf6b8240c581a5e0466f46c8058532bb4f19"}
{"char_count":5084,"item_id":"train-d10-033::linear_trace","label":"FALSE","lexical_token_proxy_count":868,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_0f8a308bf915 node_type=claim\nt=0001 CREATE_NODE id=n_de1db5db09a3 node_type=claim\nt=0002 CREATE_NODE id=n_5ab245bfe481 node_type=claim\nt=0003 CREATE_NODE id=n_7f3cbef002e8 node_type=claim\nt=0004 CREATE_NODE id=n_5a8e69c1411b node_type=claim\nt=0005 CREATE_NODE id=n_abaa841d1a76 node_type=claim\nt=0006 CREATE_NODE id=n_21cce114e74f node_type=claim\nt=0007 CREATE_NODE id=n_364258a406fe node_type=claim\nt=0008 CREATE_NODE id=n_f83a07ee7ca6 node_type=claim\nt=0009 CREATE_NODE id=n_ccb8832ce41e node_type=claim\nt=0010 CREATE_NODE id=n_ab9687198bce node_type=claim\nt=0011 CREATE_NODE id=n_07d539ed58c1 node_type=claim\nt=0012 CREATE_NODE id=n_7ef68912a6aa node_type=claim\nt=0013 CREATE_NODE id=n_4556f6e0d49d node_type=claim\nt=0014 CREATE_NODE id=n_111dd37e1705 node_type=claim\nt=0015 CREATE_NODE id=n_a3d420ac8946 node_type=claim\nt=0016 CREATE_NODE id=n_8e3b2add398b node_type=claim\nt=0017 CREATE_NODE id=n_e3d8eb854dff node_type=claim\nt=0018 CREATE_NODE id=n_bf646a6c634f node_type=claim\nt=0019 CREATE_NODE id=n_22281e2a5740 node_type=claim\nt=0020 CREATE_NODE id=n_87a1fa310fe8 node_type=claim\nt=0021 CREATE_NODE id=n_e1a722aec95d node_type=claim\nt=0022 CREATE_NODE id=n_a7a6e0f7af80 node_type=claim\nt=0023 CREATE_NODE id=n_3e890b1203b4 node_type=claim\nt=0024 CREATE_NODE id=n_dee9d683c64d node_type=claim\nt=0025 CREATE_NODE id=n_e4f2d9c5cafa node_type=claim\nt=0026 CREATE_NODE id=n_a16f8ea20d63 node_type=claim\nt=0027 CREATE_NODE id=n_e9acb3bcfe16 node_type=claim\nt=0028 CREATE_NODE id=n_29684f9b5a6d node_type=claim\nt=0029 CREATE_NODE id=n_a0e681420408 node_type=claim\nt=0030 ASSERT_ROOT node=n_111dd37e1705 value=TRUE\nt=0031 ADD_EDGE edge_id=e_701a029dca19 source=n_4556f6e0d49d edge_type=supports target=n_a7a6e0f7af80\nt=0032 ADD_EDGE edge_id=e_affde8bc404a source=n_29684f9b5a6d edge_type=refutes target=n_bf646a6c634f\nt=0033 ADD_EDGE edge_id=e_41499138e00f source=n_ab9687198bce edge_type=refutes target=n_abaa841d1a76\nt=0034 ADD_EDGE edge_id=e_e0ddbdf1f2da source=n_29684f9b5a6d edge_type=refutes target=n_0f8a308bf915\nt=0035 ADD_EDGE edge_id=e_1c63eca7fabb source=n_29684f9b5a6d edge_type=supports target=n_dee9d683c64d\nt=0036 ADD_EDGE edge_id=e_bebea70aed78 source=n_bf646a6c634f edge_type=refutes target=n_de1db5db09a3\nt=0037 ADD_EDGE edge_id=e_c8c98b53543f source=n_a3d420ac8946 edge_type=refutes target=n_7f3cbef002e8\nt=0038 ADD_EDGE edge_id=e_5874ab3f415a source=n_3e890b1203b4 edge_type=refutes target=n_a0e681420408\nt=0039 ADD_EDGE edge_id=e_fd0f45dc7d6e source=n_e3d8eb854dff edge_type=supports target=n_7ef68912a6aa\nt=0040 ADD_EDGE edge_id=e_d3f51adb0bb3 source=n_7f3cbef002e8 edge_type=refutes target=n_e3d8eb854dff\nt=0041 ADD_EDGE edge_id=e_7e7f8bb45028 source=n_29684f9b5a6d edge_type=refutes target=n_e1a722aec95d\nt=0042 ADD_EDGE edge_id=e_26a156f0b5f7 source=n_111dd37e1705 edge_type=supports target=n_3e890b1203b4\nt=0043 ADD_EDGE edge_id=e_9a391c6d0a1f source=n_a0e681420408 edge_type=supports target=n_4556f6e0d49d\nt=0044 ADD_EDGE edge_id=e_e97ad217ce9a source=n_bf646a6c634f edge_type=refutes target=n_22281e2a5740\nt=0045 ADD_EDGE edge_id=e_edd12c52cba7 source=n_de1db5db09a3 edge_type=supports target=n_ab9687198bce\nt=0046 ADD_EDGE edge_id=e_d4bf8e7b30b8 source=n_4556f6e0d49d edge_type=supports target=n_21cce114e74f\nt=0047 ADD_EDGE edge_id=e_6f859779ee68 source=n_0f8a308bf915 edge_type=supports target=n_364258a406fe\nt=0048 ADD_EDGE edge_id=e_fd32e38394ce source=n_4556f6e0d49d edge_type=supports target=n_a16f8ea20d63\nt=0049 ADD_EDGE edge_id=e_455bf5aceb64 source=n_e3d8eb854dff edge_type=supports target=n_5ab245bfe481\nt=0050 ADD_EDGE edge_id=e_3f265def1024 source=n_7ef68912a6aa edge_type=refutes target=n_8e3b2add398b\nt=0051 ADD_EDGE edge_id=e_d9249d813bb9 source=n_dee9d683c64d edge_type=supports target=n_07d539ed58c1\nt=0052 ADD_EDGE edge_id=e_c40d1b329aa9 source=n_29684f9b5a6d edge_type=refutes target=n_e9acb3bcfe16\nt=0053 ADD_EDGE edge_id=e_2bb33b07ddfe source=n_bf646a6c634f edge_type=supports target=n_87a1fa310fe8\nt=0054 ADD_EDGE edge_id=e_b6d2f8751a5d source=n_dee9d683c64d edge_type=supports target=n_f83a07ee7ca6\nt=0055 ADD_EDGE edge_id=e_335cead1bca0 source=n_ccb8832ce41e edge_type=refutes target=n_5a8e69c1411b\nt=0056 ADD_EDGE edge_id=e_1b874bc47cef source=n_0f8a308bf915 edge_type=refutes target=n_e4f2d9c5cafa\nt=0057 ADD_EDGE edge_id=e_927d839a5a96 source=n_21cce114e74f edge_type=supports target=n_a3d420ac8946\nt=0058 ADD_EDGE edge_id=e_aaf021c19677 source=n_7ef68912a6aa edge_type=refutes target=n_ccb8832ce41e\nt=0059 QUERY source=n_111dd37e1705 target=n_5a8e69c1411b\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2802,"provenance":{"base_record_id":"train-d10-033","dataset":"livegraph-deterministic-parity-v3","depth":10,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d10-033","split":"train","variant":"clean"},"record_seed":182647665508084860,"render_sha256":"153ccfd817a36e9c42430d9f45a8a75595bb1349f467a2014d1b2abffa108f0c","representation":"linear_trace","semantic_sha256":"f86392357e6a38d8a361b7683b72f81a7ec07f7fc0157f91acfd8aead87fa359"}
{"char_count":5085,"item_id":"train-d10-034::linear_trace","label":"TRUE","lexical_token_proxy_count":868,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_836e5c19c979 node_type=claim\nt=0001 CREATE_NODE id=n_67f2d9768ead node_type=claim\nt=0002 CREATE_NODE id=n_1414216d82ae node_type=claim\nt=0003 CREATE_NODE id=n_11810c6e1ce6 node_type=claim\nt=0004 CREATE_NODE id=n_a791a796346f node_type=claim\nt=0005 CREATE_NODE id=n_c0023af0b20b node_type=claim\nt=0006 CREATE_NODE id=n_6b1f421304d1 node_type=claim\nt=0007 CREATE_NODE id=n_1095a663712a node_type=claim\nt=0008 CREATE_NODE id=n_71031bfe5914 node_type=claim\nt=0009 CREATE_NODE id=n_c8f9ffcff896 node_type=claim\nt=0010 CREATE_NODE id=n_e3d76b8fa6bc node_type=claim\nt=0011 CREATE_NODE id=n_f7ff6d6c5db2 node_type=claim\nt=0012 CREATE_NODE id=n_a6db7c26509d node_type=claim\nt=0013 CREATE_NODE id=n_538cb55e0753 node_type=claim\nt=0014 CREATE_NODE id=n_6d0510781b40 node_type=claim\nt=0015 CREATE_NODE id=n_01fef3499559 node_type=claim\nt=0016 CREATE_NODE id=n_caede6a5884c node_type=claim\nt=0017 CREATE_NODE id=n_a9aa60c90523 node_type=claim\nt=0018 CREATE_NODE id=n_f8c2ac36a03f node_type=claim\nt=0019 CREATE_NODE id=n_2d4290dc475e node_type=claim\nt=0020 CREATE_NODE id=n_c3396f6f68af node_type=claim\nt=0021 CREATE_NODE id=n_f2ee858b8fcd node_type=claim\nt=0022 CREATE_NODE id=n_cd195c2e3419 node_type=claim\nt=0023 CREATE_NODE id=n_52add602247e node_type=claim\nt=0024 CREATE_NODE id=n_0fb1c294a805 node_type=claim\nt=0025 CREATE_NODE id=n_c92f70b349d1 node_type=claim\nt=0026 CREATE_NODE id=n_7a87906c2552 node_type=claim\nt=0027 CREATE_NODE id=n_c2fe292cea25 node_type=claim\nt=0028 CREATE_NODE id=n_4de7f855bccd node_type=claim\nt=0029 CREATE_NODE id=n_159a38408e34 node_type=claim\nt=0030 ASSERT_ROOT node=n_c8f9ffcff896 value=FALSE\nt=0031 ADD_EDGE edge_id=e_671580510eb7 source=n_6d0510781b40 edge_type=supports target=n_4de7f855bccd\nt=0032 ADD_EDGE edge_id=e_b2b9e2fe4f57 source=n_1414216d82ae edge_type=supports target=n_7a87906c2552\nt=0033 ADD_EDGE edge_id=e_053ce592e017 source=n_2d4290dc475e edge_type=refutes target=n_159a38408e34\nt=0034 ADD_EDGE edge_id=e_4f0bb1dfcbaf source=n_c92f70b349d1 edge_type=refutes target=n_836e5c19c979\nt=0035 ADD_EDGE edge_id=e_52dd9de8109e source=n_836e5c19c979 edge_type=supports target=n_71031bfe5914\nt=0036 ADD_EDGE edge_id=e_5f8eeba6c89c source=n_c3396f6f68af edge_type=refutes target=n_f2ee858b8fcd\nt=0037 ADD_EDGE edge_id=e_c95567bfe98a source=n_c0023af0b20b edge_type=refutes target=n_cd195c2e3419\nt=0038 ADD_EDGE edge_id=e_da50b8de34bf source=n_52add602247e edge_type=supports target=n_caede6a5884c\nt=0039 ADD_EDGE edge_id=e_f0c086d20780 source=n_11810c6e1ce6 edge_type=refutes target=n_52add602247e\nt=0040 ADD_EDGE edge_id=e_1d47bbfa0de0 source=n_4de7f855bccd edge_type=refutes target=n_6b1f421304d1\nt=0041 ADD_EDGE edge_id=e_6540f9ee29fc source=n_67f2d9768ead edge_type=supports target=n_0fb1c294a805\nt=0042 ADD_EDGE edge_id=e_41b8a0a96e7b source=n_c3396f6f68af edge_type=refutes target=n_f7ff6d6c5db2\nt=0043 ADD_EDGE edge_id=e_6bb7269d9c57 source=n_a6db7c26509d edge_type=supports target=n_c0023af0b20b\nt=0044 ADD_EDGE edge_id=e_175845d1744e source=n_f7ff6d6c5db2 edge_type=refutes target=n_01fef3499559\nt=0045 ADD_EDGE edge_id=e_167188377424 source=n_836e5c19c979 edge_type=supports target=n_1095a663712a\nt=0046 ADD_EDGE edge_id=e_9292484bb845 source=n_f7ff6d6c5db2 edge_type=supports target=n_c2fe292cea25\nt=0047 ADD_EDGE edge_id=e_9f64ba8ef7b8 source=n_71031bfe5914 edge_type=refutes target=n_67f2d9768ead\nt=0048 ADD_EDGE edge_id=e_a10eb6698265 source=n_4de7f855bccd edge_type=supports target=n_c92f70b349d1\nt=0049 ADD_EDGE edge_id=e_af5fcbb3740d source=n_7a87906c2552 edge_type=refutes target=n_a791a796346f\nt=0050 ADD_EDGE edge_id=e_3b9f0a22d64f source=n_c2fe292cea25 edge_type=supports target=n_538cb55e0753\nt=0051 ADD_EDGE edge_id=e_4bceb3d0c0cd source=n_11810c6e1ce6 edge_type=refutes target=n_a9aa60c90523\nt=0052 ADD_EDGE edge_id=e_06c9f1063b5d source=n_c3396f6f68af edge_type=supports target=n_2d4290dc475e\nt=0053 ADD_EDGE edge_id=e_5e9aabf4f7cb source=n_7a87906c2552 edge_type=refutes target=n_f8c2ac36a03f\nt=0054 ADD_EDGE edge_id=e_cc414e1a0e55 source=n_caede6a5884c edge_type=supports target=n_a6db7c26509d\nt=0055 ADD_EDGE edge_id=e_70c64599e809 source=n_c8f9ffcff896 edge_type=supports target=n_6d0510781b40\nt=0056 ADD_EDGE edge_id=e_dec142dff7b0 source=n_0fb1c294a805 edge_type=supports target=n_1414216d82ae\nt=0057 ADD_EDGE edge_id=e_c50ada91c43e source=n_71031bfe5914 edge_type=refutes target=n_e3d76b8fa6bc\nt=0058 ADD_EDGE edge_id=e_97b34a643dbd source=n_52add602247e edge_type=refutes target=n_c3396f6f68af\nt=0059 QUERY source=n_c8f9ffcff896 target=n_a791a796346f\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2820,"provenance":{"base_record_id":"train-d10-034","dataset":"livegraph-deterministic-parity-v3","depth":10,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d10-034","split":"train","variant":"clean"},"record_seed":852250548040116867,"render_sha256":"302257cd21e01e39f50c02ec7b9a2ced01be5e0d20fe28780c388df1d1d1028d","representation":"linear_trace","semantic_sha256":"458349215aaa94fbf338ebed15b47a3dd500d1652e49f6a1e9d81185cb3daabe"}
{"char_count":5085,"item_id":"train-d10-035::linear_trace","label":"FALSE","lexical_token_proxy_count":868,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_d4b5c5d23828 node_type=claim\nt=0001 CREATE_NODE id=n_d76f735d3b66 node_type=claim\nt=0002 CREATE_NODE id=n_ffa964b7edaa node_type=claim\nt=0003 CREATE_NODE id=n_354cd477afe9 node_type=claim\nt=0004 CREATE_NODE id=n_0775fd81feb9 node_type=claim\nt=0005 CREATE_NODE id=n_1e19d5d85494 node_type=claim\nt=0006 CREATE_NODE id=n_e2e7f30d573b node_type=claim\nt=0007 CREATE_NODE id=n_eb3ea7097623 node_type=claim\nt=0008 CREATE_NODE id=n_454e0dfdf7c7 node_type=claim\nt=0009 CREATE_NODE id=n_851910180502 node_type=claim\nt=0010 CREATE_NODE id=n_d2fec1e2e7b7 node_type=claim\nt=0011 CREATE_NODE id=n_1a7daf331e7f node_type=claim\nt=0012 CREATE_NODE id=n_556d3031bb6b node_type=claim\nt=0013 CREATE_NODE id=n_be2eb64402da node_type=claim\nt=0014 CREATE_NODE id=n_1f35a57fd596 node_type=claim\nt=0015 CREATE_NODE id=n_b685347b29d7 node_type=claim\nt=0016 CREATE_NODE id=n_0d14b0260dc7 node_type=claim\nt=0017 CREATE_NODE id=n_4cff2661290b node_type=claim\nt=0018 CREATE_NODE id=n_b65aa0c9df41 node_type=claim\nt=0019 CREATE_NODE id=n_e66041caeab7 node_type=claim\nt=0020 CREATE_NODE id=n_ef9dfacb1583 node_type=claim\nt=0021 CREATE_NODE id=n_8c48dbc89d3a node_type=claim\nt=0022 CREATE_NODE id=n_1e9f96c6676c node_type=claim\nt=0023 CREATE_NODE id=n_f9467946da52 node_type=claim\nt=0024 CREATE_NODE id=n_a8229afe2a93 node_type=claim\nt=0025 CREATE_NODE id=n_00f0271609a2 node_type=claim\nt=0026 CREATE_NODE id=n_44abf20c9ccc node_type=claim\nt=0027 CREATE_NODE id=n_7cac17bddd88 node_type=claim\nt=0028 CREATE_NODE id=n_dca4bb62faed node_type=claim\nt=0029 CREATE_NODE id=n_94daafe3e7f9 node_type=claim\nt=0030 ASSERT_ROOT node=n_454e0dfdf7c7 value=FALSE\nt=0031 ADD_EDGE edge_id=e_ad0a92762393 source=n_b685347b29d7 edge_type=refutes target=n_00f0271609a2\nt=0032 ADD_EDGE edge_id=e_c1f6878113bd source=n_e66041caeab7 edge_type=refutes target=n_b65aa0c9df41\nt=0033 ADD_EDGE edge_id=e_9ee9f96b1b93 source=n_b685347b29d7 edge_type=supports target=n_354cd477afe9\nt=0034 ADD_EDGE edge_id=e_faa39c652828 source=n_b685347b29d7 edge_type=supports target=n_556d3031bb6b\nt=0035 ADD_EDGE edge_id=e_744d0fff3e44 source=n_be2eb64402da edge_type=supports target=n_b685347b29d7\nt=0036 ADD_EDGE edge_id=e_43c31229d272 source=n_556d3031bb6b edge_type=supports target=n_8c48dbc89d3a\nt=0037 ADD_EDGE edge_id=e_6401c35744ca source=n_a8229afe2a93 edge_type=supports target=n_e66041caeab7\nt=0038 ADD_EDGE edge_id=e_088c79c06397 source=n_8c48dbc89d3a edge_type=supports target=n_d2fec1e2e7b7\nt=0039 ADD_EDGE edge_id=e_a03b8e604d89 source=n_851910180502 edge_type=refutes target=n_1f35a57fd596\nt=0040 ADD_EDGE edge_id=e_bd6d9bf373d0 source=n_b65aa0c9df41 edge_type=refutes target=n_44abf20c9ccc\nt=0041 ADD_EDGE edge_id=e_cac251e9b4d4 source=n_0d14b0260dc7 edge_type=refutes target=n_1e9f96c6676c\nt=0042 ADD_EDGE edge_id=e_b8539d1d64b8 source=n_ffa964b7edaa edge_type=refutes target=n_4cff2661290b\nt=0043 ADD_EDGE edge_id=e_7eafba24fbad source=n_94daafe3e7f9 edge_type=supports target=n_0775fd81feb9\nt=0044 ADD_EDGE edge_id=e_f3bc097dc3c2 source=n_454e0dfdf7c7 edge_type=refutes target=n_d4b5c5d23828\nt=0045 ADD_EDGE edge_id=e_cccc924805a0 source=n_eb3ea7097623 edge_type=refutes target=n_be2eb64402da\nt=0046 ADD_EDGE edge_id=e_4837275b4d6c source=n_454e0dfdf7c7 edge_type=refutes target=n_dca4bb62faed\nt=0047 ADD_EDGE edge_id=e_372420aaab40 source=n_0d14b0260dc7 edge_type=refutes target=n_ef9dfacb1583\nt=0048 ADD_EDGE edge_id=e_aad6d2c544ec source=n_eb3ea7097623 edge_type=refutes target=n_1e19d5d85494\nt=0049 ADD_EDGE edge_id=e_7fd31750d58a source=n_dca4bb62faed edge_type=supports target=n_ffa964b7edaa\nt=0050 ADD_EDGE edge_id=e_c3c1a96ece9e source=n_1e9f96c6676c edge_type=refutes target=n_d76f735d3b66\nt=0051 ADD_EDGE edge_id=e_97a651f1b5a7 source=n_a8229afe2a93 edge_type=supports target=n_7cac17bddd88\nt=0052 ADD_EDGE edge_id=e_c9006b600ba1 source=n_0d14b0260dc7 edge_type=refutes target=n_f9467946da52\nt=0053 ADD_EDGE edge_id=e_026b6fb90810 source=n_1e9f96c6676c edge_type=supports target=n_e2e7f30d573b\nt=0054 ADD_EDGE edge_id=e_9fac7c749b22 source=n_4cff2661290b edge_type=supports target=n_a8229afe2a93\nt=0055 ADD_EDGE edge_id=e_c6629cc366f6 source=n_0775fd81feb9 edge_type=supports target=n_851910180502\nt=0056 ADD_EDGE edge_id=e_b7f7668f6eb9 source=n_ffa964b7edaa edge_type=supports target=n_1a7daf331e7f\nt=0057 ADD_EDGE edge_id=e_8c916834dedb source=n_b65aa0c9df41 edge_type=supports target=n_94daafe3e7f9\nt=0058 ADD_EDGE edge_id=e_a2a4445efd0b source=n_eb3ea7097623 edge_type=refutes target=n_0d14b0260dc7\nt=0059 QUERY source=n_454e0dfdf7c7 target=n_1f35a57fd596\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2777,"provenance":{"base_record_id":"train-d10-035","dataset":"livegraph-deterministic-parity-v3","depth":10,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d10-035","split":"train","variant":"clean"},"record_seed":281325283741917095,"render_sha256":"4c48b63907ff69a6897291d266a017bac6c59b86910b766d38cdbf106bac3719","representation":"linear_trace","semantic_sha256":"aa86cf2e26951fc64172a16c16c029a032ca7ae4059469feb380ef075286b91c"}
{"char_count":5084,"item_id":"train-d10-036::linear_trace","label":"TRUE","lexical_token_proxy_count":868,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_e835f5dedfa6 node_type=claim\nt=0001 CREATE_NODE id=n_622bcebfbb54 node_type=claim\nt=0002 CREATE_NODE id=n_8f8bad34f988 node_type=claim\nt=0003 CREATE_NODE id=n_3d31bbeed555 node_type=claim\nt=0004 CREATE_NODE id=n_3c8b4baa0f13 node_type=claim\nt=0005 CREATE_NODE id=n_2976961f272f node_type=claim\nt=0006 CREATE_NODE id=n_9627d85f1770 node_type=claim\nt=0007 CREATE_NODE id=n_fe89ef2941fc node_type=claim\nt=0008 CREATE_NODE id=n_0afd72c53360 node_type=claim\nt=0009 CREATE_NODE id=n_6ee9da55b747 node_type=claim\nt=0010 CREATE_NODE id=n_e01d0a803154 node_type=claim\nt=0011 CREATE_NODE id=n_9729372d8171 node_type=claim\nt=0012 CREATE_NODE id=n_ad65671330bf node_type=claim\nt=0013 CREATE_NODE id=n_e0e15bdbd082 node_type=claim\nt=0014 CREATE_NODE id=n_0ba37c5601c8 node_type=claim\nt=0015 CREATE_NODE id=n_5dcc2d646e4d node_type=claim\nt=0016 CREATE_NODE id=n_f692d0a5efb2 node_type=claim\nt=0017 CREATE_NODE id=n_82818b72cb99 node_type=claim\nt=0018 CREATE_NODE id=n_6ac9258b9403 node_type=claim\nt=0019 CREATE_NODE id=n_2244253eebfa node_type=claim\nt=0020 CREATE_NODE id=n_7020a2b3b46f node_type=claim\nt=0021 CREATE_NODE id=n_1447a291a8d6 node_type=claim\nt=0022 CREATE_NODE id=n_0f51ac073eaa node_type=claim\nt=0023 CREATE_NODE id=n_151762c59e03 node_type=claim\nt=0024 CREATE_NODE id=n_78f9a03cf667 node_type=claim\nt=0025 CREATE_NODE id=n_bf11b792f648 node_type=claim\nt=0026 CREATE_NODE id=n_d8f14cb0262c node_type=claim\nt=0027 CREATE_NODE id=n_e621fed02613 node_type=claim\nt=0028 CREATE_NODE id=n_02214cade8ed node_type=claim\nt=0029 CREATE_NODE id=n_87087b0a01a1 node_type=claim\nt=0030 ASSERT_ROOT node=n_f692d0a5efb2 value=TRUE\nt=0031 ADD_EDGE edge_id=e_ab745470b9f1 source=n_622bcebfbb54 edge_type=refutes target=n_3c8b4baa0f13\nt=0032 ADD_EDGE edge_id=e_dbc0b7e0cd2b source=n_9729372d8171 edge_type=supports target=n_0afd72c53360\nt=0033 ADD_EDGE edge_id=e_60ee5672e20b source=n_0afd72c53360 edge_type=refutes target=n_1447a291a8d6\nt=0034 ADD_EDGE edge_id=e_8fa2046d4bd0 source=n_78f9a03cf667 edge_type=refutes target=n_0f51ac073eaa\nt=0035 ADD_EDGE edge_id=e_da9d1ab03105 source=n_9729372d8171 edge_type=refutes target=n_e01d0a803154\nt=0036 ADD_EDGE edge_id=e_8a55910ab697 source=n_9729372d8171 edge_type=supports target=n_0ba37c5601c8\nt=0037 ADD_EDGE edge_id=e_1a150d4b5098 source=n_2976961f272f edge_type=refutes target=n_78f9a03cf667\nt=0038 ADD_EDGE edge_id=e_c87b2159b909 source=n_02214cade8ed edge_type=supports target=n_6ee9da55b747\nt=0039 ADD_EDGE edge_id=e_48ebe213b69a source=n_9627d85f1770 edge_type=refutes target=n_2976961f272f\nt=0040 ADD_EDGE edge_id=e_4dd264843142 source=n_1447a291a8d6 edge_type=supports target=n_622bcebfbb54\nt=0041 ADD_EDGE edge_id=e_06777c48a419 source=n_f692d0a5efb2 edge_type=supports target=n_3d31bbeed555\nt=0042 ADD_EDGE edge_id=e_a2ba754eef19 source=n_9729372d8171 edge_type=supports target=n_8f8bad34f988\nt=0043 ADD_EDGE edge_id=e_169c16cd10bc source=n_e835f5dedfa6 edge_type=supports target=n_02214cade8ed\nt=0044 ADD_EDGE edge_id=e_ba5fdc6dafd8 source=n_fe89ef2941fc edge_type=refutes target=n_9627d85f1770\nt=0045 ADD_EDGE edge_id=e_a31fff4237a9 source=n_9627d85f1770 edge_type=refutes target=n_87087b0a01a1\nt=0046 ADD_EDGE edge_id=e_7e2b5b01753b source=n_2244253eebfa edge_type=refutes target=n_151762c59e03\nt=0047 ADD_EDGE edge_id=e_a3a7b3a28b82 source=n_9729372d8171 edge_type=supports target=n_d8f14cb0262c\nt=0048 ADD_EDGE edge_id=e_447ac683b6b6 source=n_3d31bbeed555 edge_type=supports target=n_6ac9258b9403\nt=0049 ADD_EDGE edge_id=e_dddc030b9632 source=n_9729372d8171 edge_type=supports target=n_ad65671330bf\nt=0050 ADD_EDGE edge_id=e_f657c56231d9 source=n_e621fed02613 edge_type=refutes target=n_5dcc2d646e4d\nt=0051 ADD_EDGE edge_id=e_8ad0549f3626 source=n_151762c59e03 edge_type=supports target=n_e621fed02613\nt=0052 ADD_EDGE edge_id=e_e7c4b2de0432 source=n_d8f14cb0262c edge_type=supports target=n_7020a2b3b46f\nt=0053 ADD_EDGE edge_id=e_c965a713332b source=n_6ac9258b9403 edge_type=supports target=n_fe89ef2941fc\nt=0054 ADD_EDGE edge_id=e_3381244d6cbb source=n_78f9a03cf667 edge_type=refutes target=n_2244253eebfa\nt=0055 ADD_EDGE edge_id=e_851a947a8439 source=n_e621fed02613 edge_type=refutes target=n_bf11b792f648\nt=0056 ADD_EDGE edge_id=e_c6ddbdbd1ca2 source=n_7020a2b3b46f edge_type=refutes target=n_e0e15bdbd082\nt=0057 ADD_EDGE edge_id=e_31031710332b source=n_9729372d8171 edge_type=refutes target=n_e835f5dedfa6\nt=0058 ADD_EDGE edge_id=e_5e0af2436756 source=n_3d31bbeed555 edge_type=supports target=n_82818b72cb99\nt=0059 QUERY source=n_f692d0a5efb2 target=n_bf11b792f648\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2810,"provenance":{"base_record_id":"train-d10-036","dataset":"livegraph-deterministic-parity-v3","depth":10,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d10-036","split":"train","variant":"clean"},"record_seed":478248111997345362,"render_sha256":"baf53517d558f78928bf009e75ff07b1dbbf731cb8f65e802c92a7d61b3ec8c6","representation":"linear_trace","semantic_sha256":"cc8135c5f2885362b1ace8391e93a3496936f59b5b13567c479458cda5cbd880"}
{"char_count":5084,"item_id":"train-d10-037::linear_trace","label":"FALSE","lexical_token_proxy_count":868,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_cf5ae724addb node_type=claim\nt=0001 CREATE_NODE id=n_69ed3e339c6e node_type=claim\nt=0002 CREATE_NODE id=n_17ee6fa5c36c node_type=claim\nt=0003 CREATE_NODE id=n_aad7e2ae936d node_type=claim\nt=0004 CREATE_NODE id=n_86cabd5ce3f0 node_type=claim\nt=0005 CREATE_NODE id=n_b8305768a44f node_type=claim\nt=0006 CREATE_NODE id=n_cc21fb7072b3 node_type=claim\nt=0007 CREATE_NODE id=n_9921eecc5ac2 node_type=claim\nt=0008 CREATE_NODE id=n_e09d21a167d0 node_type=claim\nt=0009 CREATE_NODE id=n_d8e86b8ae38d node_type=claim\nt=0010 CREATE_NODE id=n_7c022017955a node_type=claim\nt=0011 CREATE_NODE id=n_25f65502602b node_type=claim\nt=0012 CREATE_NODE id=n_6c49cf73b0b5 node_type=claim\nt=0013 CREATE_NODE id=n_275245fca31c node_type=claim\nt=0014 CREATE_NODE id=n_642429defb06 node_type=claim\nt=0015 CREATE_NODE id=n_b030251d3a2b node_type=claim\nt=0016 CREATE_NODE id=n_25a83a8b4782 node_type=claim\nt=0017 CREATE_NODE id=n_160cce248deb node_type=claim\nt=0018 CREATE_NODE id=n_dfd256aff92d node_type=claim\nt=0019 CREATE_NODE id=n_12bac86c3296 node_type=claim\nt=0020 CREATE_NODE id=n_c39e38fd98ae node_type=claim\nt=0021 CREATE_NODE id=n_3d14a5bbfcb9 node_type=claim\nt=0022 CREATE_NODE id=n_f086ee205809 node_type=claim\nt=0023 CREATE_NODE id=n_ffdfe7178498 node_type=claim\nt=0024 CREATE_NODE id=n_dd66d4bedfbf node_type=claim\nt=0025 CREATE_NODE id=n_dd0772b564cd node_type=claim\nt=0026 CREATE_NODE id=n_ba834f4d269a node_type=claim\nt=0027 CREATE_NODE id=n_4db08c5df104 node_type=claim\nt=0028 CREATE_NODE id=n_f3021fc8c02c node_type=claim\nt=0029 CREATE_NODE id=n_b2f50db01f9f node_type=claim\nt=0030 ASSERT_ROOT node=n_3d14a5bbfcb9 value=TRUE\nt=0031 ADD_EDGE edge_id=e_aaa87d802b90 source=n_86cabd5ce3f0 edge_type=refutes target=n_160cce248deb\nt=0032 ADD_EDGE edge_id=e_be8b748c5424 source=n_b030251d3a2b edge_type=supports target=n_dd0772b564cd\nt=0033 ADD_EDGE edge_id=e_c9b99a77cb2a source=n_3d14a5bbfcb9 edge_type=refutes target=n_6c49cf73b0b5\nt=0034 ADD_EDGE edge_id=e_1de1e4debf47 source=n_3d14a5bbfcb9 edge_type=refutes target=n_25f65502602b\nt=0035 ADD_EDGE edge_id=e_ac8da2041977 source=n_12bac86c3296 edge_type=refutes target=n_4db08c5df104\nt=0036 ADD_EDGE edge_id=e_c516f3c37c97 source=n_17ee6fa5c36c edge_type=refutes target=n_12bac86c3296\nt=0037 ADD_EDGE edge_id=e_1b097ee3b085 source=n_4db08c5df104 edge_type=refutes target=n_f3021fc8c02c\nt=0038 ADD_EDGE edge_id=e_e746705f88d2 source=n_aad7e2ae936d edge_type=supports target=n_c39e38fd98ae\nt=0039 ADD_EDGE edge_id=e_76174181da4b source=n_17ee6fa5c36c edge_type=supports target=n_ffdfe7178498\nt=0040 ADD_EDGE edge_id=e_7efa7e7ac780 source=n_17ee6fa5c36c edge_type=refutes target=n_b030251d3a2b\nt=0041 ADD_EDGE edge_id=e_253c3916d6f0 source=n_160cce248deb edge_type=refutes target=n_dfd256aff92d\nt=0042 ADD_EDGE edge_id=e_3c514b15a464 source=n_25f65502602b edge_type=refutes target=n_cc21fb7072b3\nt=0043 ADD_EDGE edge_id=e_0907e5644825 source=n_ffdfe7178498 edge_type=supports target=n_aad7e2ae936d\nt=0044 ADD_EDGE edge_id=e_1c7e9f71d4fc source=n_642429defb06 edge_type=supports target=n_e09d21a167d0\nt=0045 ADD_EDGE edge_id=e_e2c0da47d167 source=n_cc21fb7072b3 edge_type=supports target=n_642429defb06\nt=0046 ADD_EDGE edge_id=e_b812636a6122 source=n_4db08c5df104 edge_type=supports target=n_9921eecc5ac2\nt=0047 ADD_EDGE edge_id=e_d2384e8573cb source=n_cf5ae724addb edge_type=supports target=n_69ed3e339c6e\nt=0048 ADD_EDGE edge_id=e_000e09b25380 source=n_b030251d3a2b edge_type=refutes target=n_d8e86b8ae38d\nt=0049 ADD_EDGE edge_id=e_377857570f85 source=n_9921eecc5ac2 edge_type=refutes target=n_25a83a8b4782\nt=0050 ADD_EDGE edge_id=e_d3b73671cf9b source=n_642429defb06 edge_type=supports target=n_dd66d4bedfbf\nt=0051 ADD_EDGE edge_id=e_493b067e6fcb source=n_4db08c5df104 edge_type=supports target=n_275245fca31c\nt=0052 ADD_EDGE edge_id=e_1a57b115d09f source=n_b2f50db01f9f edge_type=supports target=n_86cabd5ce3f0\nt=0053 ADD_EDGE edge_id=e_130afbbea679 source=n_17ee6fa5c36c edge_type=refutes target=n_f086ee205809\nt=0054 ADD_EDGE edge_id=e_20b1ec629431 source=n_25f65502602b edge_type=supports target=n_b8305768a44f\nt=0055 ADD_EDGE edge_id=e_2f69982f8b7a source=n_e09d21a167d0 edge_type=supports target=n_cf5ae724addb\nt=0056 ADD_EDGE edge_id=e_6e163e81c33d source=n_69ed3e339c6e edge_type=supports target=n_7c022017955a\nt=0057 ADD_EDGE edge_id=e_bcb002bda85a source=n_9921eecc5ac2 edge_type=refutes target=n_ba834f4d269a\nt=0058 ADD_EDGE edge_id=e_7f14c47cbaec source=n_69ed3e339c6e edge_type=refutes target=n_b2f50db01f9f\nt=0059 QUERY source=n_3d14a5bbfcb9 target=n_dfd256aff92d\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2782,"provenance":{"base_record_id":"train-d10-037","dataset":"livegraph-deterministic-parity-v3","depth":10,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d10-037","split":"train","variant":"clean"},"record_seed":544270575208398653,"render_sha256":"44c62c12d6893cc29d3d8df62f7fdaf13044edb24a35f782cb9947fd408d88a7","representation":"linear_trace","semantic_sha256":"cf4850465a7a262280f026d0a672a82aae027701791fc0dbb21efd600d57eaaa"}
{"char_count":5085,"item_id":"train-d10-038::linear_trace","label":"TRUE","lexical_token_proxy_count":868,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_86af599cc9bd node_type=claim\nt=0001 CREATE_NODE id=n_2d15df5a15d4 node_type=claim\nt=0002 CREATE_NODE id=n_2a16b165998e node_type=claim\nt=0003 CREATE_NODE id=n_58c444d6e190 node_type=claim\nt=0004 CREATE_NODE id=n_576c8ce3f160 node_type=claim\nt=0005 CREATE_NODE id=n_9bd111b58bd1 node_type=claim\nt=0006 CREATE_NODE id=n_3bcb63499fcd node_type=claim\nt=0007 CREATE_NODE id=n_bc62f4b70c44 node_type=claim\nt=0008 CREATE_NODE id=n_0a15db0b26d6 node_type=claim\nt=0009 CREATE_NODE id=n_72ed70fe4691 node_type=claim\nt=0010 CREATE_NODE id=n_a412c2c53d5a node_type=claim\nt=0011 CREATE_NODE id=n_63d24ed2e652 node_type=claim\nt=0012 CREATE_NODE id=n_6b8a3edf13c8 node_type=claim\nt=0013 CREATE_NODE id=n_7d3e8823e679 node_type=claim\nt=0014 CREATE_NODE id=n_0e13c485825b node_type=claim\nt=0015 CREATE_NODE id=n_fd5438882d91 node_type=claim\nt=0016 CREATE_NODE id=n_215d7f240496 node_type=claim\nt=0017 CREATE_NODE id=n_bda713d27a68 node_type=claim\nt=0018 CREATE_NODE id=n_f9588b677844 node_type=claim\nt=0019 CREATE_NODE id=n_cfb6befc9450 node_type=claim\nt=0020 CREATE_NODE id=n_f43c99b6eedc node_type=claim\nt=0021 CREATE_NODE id=n_601a9bbf0d33 node_type=claim\nt=0022 CREATE_NODE id=n_620066ba7fa3 node_type=claim\nt=0023 CREATE_NODE id=n_915f361052c6 node_type=claim\nt=0024 CREATE_NODE id=n_aab87ff3a15e node_type=claim\nt=0025 CREATE_NODE id=n_b57120147387 node_type=claim\nt=0026 CREATE_NODE id=n_7e23d7ffa44a node_type=claim\nt=0027 CREATE_NODE id=n_a4e8b138de81 node_type=claim\nt=0028 CREATE_NODE id=n_4730c1a297dd node_type=claim\nt=0029 CREATE_NODE id=n_7bc484aaec8b node_type=claim\nt=0030 ASSERT_ROOT node=n_a412c2c53d5a value=FALSE\nt=0031 ADD_EDGE edge_id=e_65b06d3a2fac source=n_576c8ce3f160 edge_type=refutes target=n_63d24ed2e652\nt=0032 ADD_EDGE edge_id=e_c00c1f279a4a source=n_72ed70fe4691 edge_type=supports target=n_7d3e8823e679\nt=0033 ADD_EDGE edge_id=e_c7abc3ed9abe source=n_7d3e8823e679 edge_type=supports target=n_2d15df5a15d4\nt=0034 ADD_EDGE edge_id=e_751b7b5fc130 source=n_0a15db0b26d6 edge_type=refutes target=n_2a16b165998e\nt=0035 ADD_EDGE edge_id=e_8fd8aabe11d4 source=n_576c8ce3f160 edge_type=refutes target=n_915f361052c6\nt=0036 ADD_EDGE edge_id=e_f7043d14c5f2 source=n_601a9bbf0d33 edge_type=supports target=n_620066ba7fa3\nt=0037 ADD_EDGE edge_id=e_b80b595f282c source=n_4730c1a297dd edge_type=refutes target=n_aab87ff3a15e\nt=0038 ADD_EDGE edge_id=e_e295dc2e7608 source=n_72ed70fe4691 edge_type=supports target=n_cfb6befc9450\nt=0039 ADD_EDGE edge_id=e_a55c51cdf278 source=n_72ed70fe4691 edge_type=refutes target=n_7bc484aaec8b\nt=0040 ADD_EDGE edge_id=e_14c8cfbe785b source=n_7bc484aaec8b edge_type=refutes target=n_f43c99b6eedc\nt=0041 ADD_EDGE edge_id=e_8cf8a16c4400 source=n_601a9bbf0d33 edge_type=supports target=n_58c444d6e190\nt=0042 ADD_EDGE edge_id=e_2199241ca9bb source=n_bc62f4b70c44 edge_type=supports target=n_f9588b677844\nt=0043 ADD_EDGE edge_id=e_0a4d32ce0659 source=n_fd5438882d91 edge_type=supports target=n_7e23d7ffa44a\nt=0044 ADD_EDGE edge_id=e_8c493540706a source=n_fd5438882d91 edge_type=supports target=n_a4e8b138de81\nt=0045 ADD_EDGE edge_id=e_f7d0766c3e05 source=n_63d24ed2e652 edge_type=refutes target=n_bc62f4b70c44\nt=0046 ADD_EDGE edge_id=e_d4a480a78a68 source=n_fd5438882d91 edge_type=refutes target=n_86af599cc9bd\nt=0047 ADD_EDGE edge_id=e_cc2d3f631419 source=n_b57120147387 edge_type=supports target=n_bda713d27a68\nt=0048 ADD_EDGE edge_id=e_832181f9134b source=n_a412c2c53d5a edge_type=refutes target=n_6b8a3edf13c8\nt=0049 ADD_EDGE edge_id=e_9b78501427ea source=n_f9588b677844 edge_type=refutes target=n_601a9bbf0d33\nt=0050 ADD_EDGE edge_id=e_279ebc63fc10 source=n_6b8a3edf13c8 edge_type=refutes target=n_0a15db0b26d6\nt=0051 ADD_EDGE edge_id=e_8e56b5639f68 source=n_0a15db0b26d6 edge_type=supports target=n_0e13c485825b\nt=0052 ADD_EDGE edge_id=e_096e01b8b3dd source=n_72ed70fe4691 edge_type=refutes target=n_fd5438882d91\nt=0053 ADD_EDGE edge_id=e_c1e8f680df8c source=n_7d3e8823e679 edge_type=refutes target=n_4730c1a297dd\nt=0054 ADD_EDGE edge_id=e_746332e1bd9c source=n_bda713d27a68 edge_type=supports target=n_576c8ce3f160\nt=0055 ADD_EDGE edge_id=e_902857b65d36 source=n_0e13c485825b edge_type=supports target=n_b57120147387\nt=0056 ADD_EDGE edge_id=e_8f5eb0b12edd source=n_7e23d7ffa44a edge_type=supports target=n_9bd111b58bd1\nt=0057 ADD_EDGE edge_id=e_b812a0cc5440 source=n_7d3e8823e679 edge_type=supports target=n_215d7f240496\nt=0058 ADD_EDGE edge_id=e_b045e752dae0 source=n_7d3e8823e679 edge_type=refutes target=n_3bcb63499fcd\nt=0059 QUERY source=n_a412c2c53d5a target=n_601a9bbf0d33\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2833,"provenance":{"base_record_id":"train-d10-038","dataset":"livegraph-deterministic-parity-v3","depth":10,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d10-038","split":"train","variant":"clean"},"record_seed":725418941698327797,"render_sha256":"11a89fb1bcea050d237d79e1c9bb439dbbe546620ee4b9f9b137203bbef5137a","representation":"linear_trace","semantic_sha256":"82ba941cc9456e93384f99b78a701ad79371882f32452a9e25d1a8c98c034f2f"}
{"char_count":5085,"item_id":"train-d10-039::linear_trace","label":"FALSE","lexical_token_proxy_count":868,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_0a2204920581 node_type=claim\nt=0001 CREATE_NODE id=n_4e77c3c0d282 node_type=claim\nt=0002 CREATE_NODE id=n_82a94e4ce4b3 node_type=claim\nt=0003 CREATE_NODE id=n_1473fa87f19e node_type=claim\nt=0004 CREATE_NODE id=n_225ed8f2872c node_type=claim\nt=0005 CREATE_NODE id=n_860da43f309b node_type=claim\nt=0006 CREATE_NODE id=n_e57f61ffe6a3 node_type=claim\nt=0007 CREATE_NODE id=n_910a4a8c1d54 node_type=claim\nt=0008 CREATE_NODE id=n_66117189deb4 node_type=claim\nt=0009 CREATE_NODE id=n_41b009072e02 node_type=claim\nt=0010 CREATE_NODE id=n_9b6da0a5ab48 node_type=claim\nt=0011 CREATE_NODE id=n_ef91003117c9 node_type=claim\nt=0012 CREATE_NODE id=n_561cfb4b28a2 node_type=claim\nt=0013 CREATE_NODE id=n_9e5798fa7c39 node_type=claim\nt=0014 CREATE_NODE id=n_3b951efc66ab node_type=claim\nt=0015 CREATE_NODE id=n_d036249f236c node_type=claim\nt=0016 CREATE_NODE id=n_44afc968d4da node_type=claim\nt=0017 CREATE_NODE id=n_28712d2bfae6 node_type=claim\nt=0018 CREATE_NODE id=n_e185a097b4f7 node_type=claim\nt=0019 CREATE_NODE id=n_5d398f32a783 node_type=claim\nt=0020 CREATE_NODE id=n_ca477bda3d85 node_type=claim\nt=0021 CREATE_NODE id=n_6bc1655090f7 node_type=claim\nt=0022 CREATE_NODE id=n_58fcdb6b719b node_type=claim\nt=0023 CREATE_NODE id=n_3da43aed5987 node_type=claim\nt=0024 CREATE_NODE id=n_968823821e8a node_type=claim\nt=0025 CREATE_NODE id=n_53dae61b7937 node_type=claim\nt=0026 CREATE_NODE id=n_2d76b0ddd61c node_type=claim\nt=0027 CREATE_NODE id=n_f8935e804c9f node_type=claim\nt=0028 CREATE_NODE id=n_a2c15f7d343a node_type=claim\nt=0029 CREATE_NODE id=n_e70a8387e90e node_type=claim\nt=0030 ASSERT_ROOT node=n_82a94e4ce4b3 value=FALSE\nt=0031 ADD_EDGE edge_id=e_e1abece2cf70 source=n_a2c15f7d343a edge_type=refutes target=n_9e5798fa7c39\nt=0032 ADD_EDGE edge_id=e_57f0c8c5e429 source=n_2d76b0ddd61c edge_type=supports target=n_9b6da0a5ab48\nt=0033 ADD_EDGE edge_id=e_b0588dc3f3b4 source=n_e70a8387e90e edge_type=refutes target=n_3da43aed5987\nt=0034 ADD_EDGE edge_id=e_7aaa4751f08a source=n_e70a8387e90e edge_type=supports target=n_53dae61b7937\nt=0035 ADD_EDGE edge_id=e_91fcc1b3d3a5 source=n_e57f61ffe6a3 edge_type=refutes target=n_0a2204920581\nt=0036 ADD_EDGE edge_id=e_8eebac270d80 source=n_3b951efc66ab edge_type=refutes target=n_561cfb4b28a2\nt=0037 ADD_EDGE edge_id=e_357307e11954 source=n_225ed8f2872c edge_type=supports target=n_d036249f236c\nt=0038 ADD_EDGE edge_id=e_d0f94db5ca85 source=n_0a2204920581 edge_type=supports target=n_28712d2bfae6\nt=0039 ADD_EDGE edge_id=e_45733675a54f source=n_e185a097b4f7 edge_type=supports target=n_6bc1655090f7\nt=0040 ADD_EDGE edge_id=e_8c0f925fa2ff source=n_e70a8387e90e edge_type=supports target=n_ca477bda3d85\nt=0041 ADD_EDGE edge_id=e_1dd1374faa82 source=n_e185a097b4f7 edge_type=refutes target=n_44afc968d4da\nt=0042 ADD_EDGE edge_id=e_cf3540ab809d source=n_9b6da0a5ab48 edge_type=supports target=n_ef91003117c9\nt=0043 ADD_EDGE edge_id=e_6095139a0515 source=n_41b009072e02 edge_type=supports target=n_66117189deb4\nt=0044 ADD_EDGE edge_id=e_91a71fb4697a source=n_a2c15f7d343a edge_type=refutes target=n_910a4a8c1d54\nt=0045 ADD_EDGE edge_id=e_617f642d7d63 source=n_968823821e8a edge_type=refutes target=n_2d76b0ddd61c\nt=0046 ADD_EDGE edge_id=e_76003792d3dd source=n_6bc1655090f7 edge_type=supports target=n_e57f61ffe6a3\nt=0047 ADD_EDGE edge_id=e_c87b7b38dff3 source=n_41b009072e02 edge_type=supports target=n_f8935e804c9f\nt=0048 ADD_EDGE edge_id=e_c285b5968a6d source=n_4e77c3c0d282 edge_type=refutes target=n_e185a097b4f7\nt=0049 ADD_EDGE edge_id=e_269690330a09 source=n_9b6da0a5ab48 edge_type=supports target=n_1473fa87f19e\nt=0050 ADD_EDGE edge_id=e_c45f315f9891 source=n_e70a8387e90e edge_type=supports target=n_3b951efc66ab\nt=0051 ADD_EDGE edge_id=e_eabe621e4431 source=n_9b6da0a5ab48 edge_type=refutes target=n_58fcdb6b719b\nt=0052 ADD_EDGE edge_id=e_c0b7d21ba796 source=n_e70a8387e90e edge_type=refutes target=n_41b009072e02\nt=0053 ADD_EDGE edge_id=e_216f0c22e518 source=n_9b6da0a5ab48 edge_type=refutes target=n_860da43f309b\nt=0054 ADD_EDGE edge_id=e_20d23a692dc6 source=n_ef91003117c9 edge_type=supports target=n_4e77c3c0d282\nt=0055 ADD_EDGE edge_id=e_c9cb795664ec source=n_41b009072e02 edge_type=supports target=n_a2c15f7d343a\nt=0056 ADD_EDGE edge_id=e_d883ad0b1c7e source=n_82a94e4ce4b3 edge_type=refutes target=n_968823821e8a\nt=0057 ADD_EDGE edge_id=e_638d9d901625 source=n_3b951efc66ab edge_type=refutes target=n_225ed8f2872c\nt=0058 ADD_EDGE edge_id=e_483dd879f9c8 source=n_53dae61b7937 edge_type=refutes target=n_5d398f32a783\nt=0059 QUERY source=n_82a94e4ce4b3 target=n_28712d2bfae6\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2857,"provenance":{"base_record_id":"train-d10-039","dataset":"livegraph-deterministic-parity-v3","depth":10,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d10-039","split":"train","variant":"clean"},"record_seed":811349134637120121,"render_sha256":"d01cb83c86ce15bcfbc38d2543817ae928f74acb84eddb9cfd6ef66a508055d9","representation":"linear_trace","semantic_sha256":"f1464b3fbb1d41b74ccdfcee85bc80168d6f89eb757d3a854b79d562af5d4569"}
{"char_count":5084,"item_id":"train-d10-040::linear_trace","label":"TRUE","lexical_token_proxy_count":868,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_c33ecda049ba node_type=claim\nt=0001 CREATE_NODE id=n_8a5a4b76e056 node_type=claim\nt=0002 CREATE_NODE id=n_fcec7948c659 node_type=claim\nt=0003 CREATE_NODE id=n_7c976a4be037 node_type=claim\nt=0004 CREATE_NODE id=n_9c43200d421f node_type=claim\nt=0005 CREATE_NODE id=n_1b17159042cd node_type=claim\nt=0006 CREATE_NODE id=n_786fb2f7c8b6 node_type=claim\nt=0007 CREATE_NODE id=n_14f92bf7bfe3 node_type=claim\nt=0008 CREATE_NODE id=n_3ff279b09420 node_type=claim\nt=0009 CREATE_NODE id=n_9a00c46a90d4 node_type=claim\nt=0010 CREATE_NODE id=n_260a97fbfe83 node_type=claim\nt=0011 CREATE_NODE id=n_9432921da27a node_type=claim\nt=0012 CREATE_NODE id=n_81746d813799 node_type=claim\nt=0013 CREATE_NODE id=n_6a6cf1f5af1c node_type=claim\nt=0014 CREATE_NODE id=n_85beb06767e2 node_type=claim\nt=0015 CREATE_NODE id=n_ca9df0c4b9b9 node_type=claim\nt=0016 CREATE_NODE id=n_26a0ee50f973 node_type=claim\nt=0017 CREATE_NODE id=n_e1790ae15812 node_type=claim\nt=0018 CREATE_NODE id=n_0600e403e080 node_type=claim\nt=0019 CREATE_NODE id=n_e1e6ba9be786 node_type=claim\nt=0020 CREATE_NODE id=n_ed191c72dd55 node_type=claim\nt=0021 CREATE_NODE id=n_a3f86dd57469 node_type=claim\nt=0022 CREATE_NODE id=n_82bcf1f26988 node_type=claim\nt=0023 CREATE_NODE id=n_e0f4187d3004 node_type=claim\nt=0024 CREATE_NODE id=n_ef97ffe3c3c9 node_type=claim\nt=0025 CREATE_NODE id=n_3ac04b90d894 node_type=claim\nt=0026 CREATE_NODE id=n_5a0b752aac82 node_type=claim\nt=0027 CREATE_NODE id=n_f246aba99981 node_type=claim\nt=0028 CREATE_NODE id=n_4d0e9ad0b665 node_type=claim\nt=0029 CREATE_NODE id=n_c29e0983f6a0 node_type=claim\nt=0030 ASSERT_ROOT node=n_4d0e9ad0b665 value=TRUE\nt=0031 ADD_EDGE edge_id=e_11e5a90ee00c source=n_c33ecda049ba edge_type=refutes target=n_9432921da27a\nt=0032 ADD_EDGE edge_id=e_e8352bc9060a source=n_26a0ee50f973 edge_type=supports target=n_a3f86dd57469\nt=0033 ADD_EDGE edge_id=e_c5a081168211 source=n_e1e6ba9be786 edge_type=refutes target=n_8a5a4b76e056\nt=0034 ADD_EDGE edge_id=e_7c7429eccf51 source=n_85beb06767e2 edge_type=supports target=n_14f92bf7bfe3\nt=0035 ADD_EDGE edge_id=e_d82d9b9d93f0 source=n_260a97fbfe83 edge_type=supports target=n_85beb06767e2\nt=0036 ADD_EDGE edge_id=e_d726e063474e source=n_6a6cf1f5af1c edge_type=refutes target=n_1b17159042cd\nt=0037 ADD_EDGE edge_id=e_410117b08a24 source=n_fcec7948c659 edge_type=refutes target=n_3ff279b09420\nt=0038 ADD_EDGE edge_id=e_4b94eb70c25a source=n_e0f4187d3004 edge_type=supports target=n_26a0ee50f973\nt=0039 ADD_EDGE edge_id=e_851a20020e3d source=n_e1790ae15812 edge_type=refutes target=n_81746d813799\nt=0040 ADD_EDGE edge_id=e_dcb1471153ec source=n_fcec7948c659 edge_type=supports target=n_9c43200d421f\nt=0041 ADD_EDGE edge_id=e_f123b3846de4 source=n_e0f4187d3004 edge_type=refutes target=n_c29e0983f6a0\nt=0042 ADD_EDGE edge_id=e_0ff7ab484efc source=n_6a6cf1f5af1c edge_type=refutes target=n_0600e403e080\nt=0043 ADD_EDGE edge_id=e_ce4e020e7599 source=n_e0f4187d3004 edge_type=refutes target=n_fcec7948c659\nt=0044 ADD_EDGE edge_id=e_e4b5532ebcbd source=n_81746d813799 edge_type=refutes target=n_5a0b752aac82\nt=0045 ADD_EDGE edge_id=e_59e70d9a1ee0 source=n_8a5a4b76e056 edge_type=refutes target=n_3ac04b90d894\nt=0046 ADD_EDGE edge_id=e_7839264eecbb source=n_ed191c72dd55 edge_type=supports target=n_7c976a4be037\nt=0047 ADD_EDGE edge_id=e_100b72db5dc9 source=n_e1790ae15812 edge_type=supports target=n_f246aba99981\nt=0048 ADD_EDGE edge_id=e_c86ff2a8838d source=n_fcec7948c659 edge_type=refutes target=n_260a97fbfe83\nt=0049 ADD_EDGE edge_id=e_411e453baa77 source=n_4d0e9ad0b665 edge_type=refutes target=n_e1e6ba9be786\nt=0050 ADD_EDGE edge_id=e_b8f9f087af03 source=n_8a5a4b76e056 edge_type=supports target=n_6a6cf1f5af1c\nt=0051 ADD_EDGE edge_id=e_5d762cc54b23 source=n_e0f4187d3004 edge_type=refutes target=n_82bcf1f26988\nt=0052 ADD_EDGE edge_id=e_d0cf8d914eb1 source=n_26a0ee50f973 edge_type=supports target=n_786fb2f7c8b6\nt=0053 ADD_EDGE edge_id=e_8924273d109c source=n_9432921da27a edge_type=supports target=n_e1790ae15812\nt=0054 ADD_EDGE edge_id=e_713484737400 source=n_fcec7948c659 edge_type=supports target=n_ef97ffe3c3c9\nt=0055 ADD_EDGE edge_id=e_fa78db87c58a source=n_ef97ffe3c3c9 edge_type=supports target=n_9a00c46a90d4\nt=0056 ADD_EDGE edge_id=e_1c9a8785d164 source=n_0600e403e080 edge_type=supports target=n_ed191c72dd55\nt=0057 ADD_EDGE edge_id=e_0dfa61e858e5 source=n_7c976a4be037 edge_type=refutes target=n_c33ecda049ba\nt=0058 ADD_EDGE edge_id=e_b9be0bd925fb source=n_85beb06767e2 edge_type=supports target=n_ca9df0c4b9b9\nt=0059 QUERY source=n_4d0e9ad0b665 target=n_81746d813799\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2821,"provenance":{"base_record_id":"train-d10-040","dataset":"livegraph-deterministic-parity-v3","depth":10,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d10-040","split":"train","variant":"clean"},"record_seed":289948166062074416,"render_sha256":"521a980cf612d82cae6168e11142cbe1287df032f802f8e231313ce3a1ad346b","representation":"linear_trace","semantic_sha256":"e5150bdfdca84c07ddb27a4d5cebe7e69ab407bfc6cd34ccd87081c2cf62543d"}
{"char_count":5084,"item_id":"train-d10-041::linear_trace","label":"FALSE","lexical_token_proxy_count":868,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_644170cd6803 node_type=claim\nt=0001 CREATE_NODE id=n_a9d2acddf1be node_type=claim\nt=0002 CREATE_NODE id=n_be911747452c node_type=claim\nt=0003 CREATE_NODE id=n_6d35866d5f0c node_type=claim\nt=0004 CREATE_NODE id=n_3f73d05cfbba node_type=claim\nt=0005 CREATE_NODE id=n_5fefe0c96933 node_type=claim\nt=0006 CREATE_NODE id=n_4caa9348f1c6 node_type=claim\nt=0007 CREATE_NODE id=n_0e1c83ff143f node_type=claim\nt=0008 CREATE_NODE id=n_4e448c37c6ac node_type=claim\nt=0009 CREATE_NODE id=n_0b31fccb7753 node_type=claim\nt=0010 CREATE_NODE id=n_5a76ea4fb7e2 node_type=claim\nt=0011 CREATE_NODE id=n_43514dd1f34d node_type=claim\nt=0012 CREATE_NODE id=n_78f0c66fdd3b node_type=claim\nt=0013 CREATE_NODE id=n_dac5e873d3f5 node_type=claim\nt=0014 CREATE_NODE id=n_da7e59966b5b node_type=claim\nt=0015 CREATE_NODE id=n_a495746ef7a8 node_type=claim\nt=0016 CREATE_NODE id=n_4cb271a46241 node_type=claim\nt=0017 CREATE_NODE id=n_137f277f754d node_type=claim\nt=0018 CREATE_NODE id=n_cb2e0c0e5cc9 node_type=claim\nt=0019 CREATE_NODE id=n_1249eaf4c83e node_type=claim\nt=0020 CREATE_NODE id=n_a6b5d0d55aa4 node_type=claim\nt=0021 CREATE_NODE id=n_d16780a40b06 node_type=claim\nt=0022 CREATE_NODE id=n_39d132b1dce7 node_type=claim\nt=0023 CREATE_NODE id=n_20e0f72ad47c node_type=claim\nt=0024 CREATE_NODE id=n_8111e0de864a node_type=claim\nt=0025 CREATE_NODE id=n_208dc9920730 node_type=claim\nt=0026 CREATE_NODE id=n_a181f262c0e6 node_type=claim\nt=0027 CREATE_NODE id=n_073f96949965 node_type=claim\nt=0028 CREATE_NODE id=n_56b4dc5a60ba node_type=claim\nt=0029 CREATE_NODE id=n_ca11831d73fa node_type=claim\nt=0030 ASSERT_ROOT node=n_78f0c66fdd3b value=TRUE\nt=0031 ADD_EDGE edge_id=e_3b16d6c0ea7b source=n_073f96949965 edge_type=supports target=n_dac5e873d3f5\nt=0032 ADD_EDGE edge_id=e_95797a162a2a source=n_4e448c37c6ac edge_type=refutes target=n_137f277f754d\nt=0033 ADD_EDGE edge_id=e_d6cbaf5f48c9 source=n_5a76ea4fb7e2 edge_type=refutes target=n_43514dd1f34d\nt=0034 ADD_EDGE edge_id=e_8de80e8c850e source=n_ca11831d73fa edge_type=supports target=n_39d132b1dce7\nt=0035 ADD_EDGE edge_id=e_0a65e448beda source=n_0e1c83ff143f edge_type=refutes target=n_644170cd6803\nt=0036 ADD_EDGE edge_id=e_c0b67897c34b source=n_4caa9348f1c6 edge_type=supports target=n_1249eaf4c83e\nt=0037 ADD_EDGE edge_id=e_205c618ea0b0 source=n_073f96949965 edge_type=refutes target=n_be911747452c\nt=0038 ADD_EDGE edge_id=e_b3c0a3ec9c6d source=n_da7e59966b5b edge_type=refutes target=n_a181f262c0e6\nt=0039 ADD_EDGE edge_id=e_0152314e9c63 source=n_1249eaf4c83e edge_type=refutes target=n_5fefe0c96933\nt=0040 ADD_EDGE edge_id=e_7b27bf2279e7 source=n_8111e0de864a edge_type=supports target=n_56b4dc5a60ba\nt=0041 ADD_EDGE edge_id=e_374ad1a88f9c source=n_073f96949965 edge_type=supports target=n_208dc9920730\nt=0042 ADD_EDGE edge_id=e_53aff0ce81fa source=n_a495746ef7a8 edge_type=refutes target=n_073f96949965\nt=0043 ADD_EDGE edge_id=e_a777e1e93391 source=n_1249eaf4c83e edge_type=supports target=n_0e1c83ff143f\nt=0044 ADD_EDGE edge_id=e_4ab5d3bd7b67 source=n_d16780a40b06 edge_type=refutes target=n_4caa9348f1c6\nt=0045 ADD_EDGE edge_id=e_a41980210d14 source=n_8111e0de864a edge_type=supports target=n_0b31fccb7753\nt=0046 ADD_EDGE edge_id=e_3617c29ab81b source=n_d16780a40b06 edge_type=refutes target=n_ca11831d73fa\nt=0047 ADD_EDGE edge_id=e_fd7173914115 source=n_cb2e0c0e5cc9 edge_type=supports target=n_a9d2acddf1be\nt=0048 ADD_EDGE edge_id=e_a09cf8cf2313 source=n_4caa9348f1c6 edge_type=refutes target=n_20e0f72ad47c\nt=0049 ADD_EDGE edge_id=e_6f0dc9ba5764 source=n_be911747452c edge_type=supports target=n_4e448c37c6ac\nt=0050 ADD_EDGE edge_id=e_f992e0b226e0 source=n_56b4dc5a60ba edge_type=supports target=n_da7e59966b5b\nt=0051 ADD_EDGE edge_id=e_2730767d04f2 source=n_78f0c66fdd3b edge_type=supports target=n_8111e0de864a\nt=0052 ADD_EDGE edge_id=e_a9c1c1d08ef7 source=n_ca11831d73fa edge_type=supports target=n_cb2e0c0e5cc9\nt=0053 ADD_EDGE edge_id=e_39a6326ac9f6 source=n_a181f262c0e6 edge_type=refutes target=n_a6b5d0d55aa4\nt=0054 ADD_EDGE edge_id=e_9ed370d46659 source=n_1249eaf4c83e edge_type=refutes target=n_5a76ea4fb7e2\nt=0055 ADD_EDGE edge_id=e_60cf40e87149 source=n_a6b5d0d55aa4 edge_type=refutes target=n_3f73d05cfbba\nt=0056 ADD_EDGE edge_id=e_8b18ef74ff48 source=n_39d132b1dce7 edge_type=refutes target=n_6d35866d5f0c\nt=0057 ADD_EDGE edge_id=e_f4b9ed7a75b0 source=n_cb2e0c0e5cc9 edge_type=supports target=n_4cb271a46241\nt=0058 ADD_EDGE edge_id=e_d97ce03ef754 source=n_a6b5d0d55aa4 edge_type=supports target=n_a495746ef7a8\nt=0059 QUERY source=n_78f0c66fdd3b target=n_137f277f754d\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2831,"provenance":{"base_record_id":"train-d10-041","dataset":"livegraph-deterministic-parity-v3","depth":10,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d10-041","split":"train","variant":"clean"},"record_seed":259233562126050304,"render_sha256":"71691a07ff061123f4573dc3b3c5a2942762f53aa5a3df133591dbc4952563fe","representation":"linear_trace","semantic_sha256":"735e07f61d94aec103466ace4b241255b22956770d9db633aa67864767c0679e"}
{"char_count":5085,"item_id":"train-d10-042::linear_trace","label":"TRUE","lexical_token_proxy_count":868,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_d71daa62d723 node_type=claim\nt=0001 CREATE_NODE id=n_a5a0b2b589d6 node_type=claim\nt=0002 CREATE_NODE id=n_d27471478efc node_type=claim\nt=0003 CREATE_NODE id=n_fd2c686e6cb0 node_type=claim\nt=0004 CREATE_NODE id=n_a21467608673 node_type=claim\nt=0005 CREATE_NODE id=n_1e543e30eb47 node_type=claim\nt=0006 CREATE_NODE id=n_c91ea6ea3c4c node_type=claim\nt=0007 CREATE_NODE id=n_d5dcff501a35 node_type=claim\nt=0008 CREATE_NODE id=n_fcd76ed81c36 node_type=claim\nt=0009 CREATE_NODE id=n_a725ce91423c node_type=claim\nt=0010 CREATE_NODE id=n_bf07f301be38 node_type=claim\nt=0011 CREATE_NODE id=n_4740c40169d8 node_type=claim\nt=0012 CREATE_NODE id=n_dba7223bb206 node_type=claim\nt=0013 CREATE_NODE id=n_f629142fb419 node_type=claim\nt=0014 CREATE_NODE id=n_9d66b3016942 node_type=claim\nt=0015 CREATE_NODE id=n_ebf5d339c1ec node_type=claim\nt=0016 CREATE_NODE id=n_3547d66b0eda node_type=claim\nt=0017 CREATE_NODE id=n_848498db91d3 node_type=claim\nt=0018 CREATE_NODE id=n_cb6a766a27ea node_type=claim\nt=0019 CREATE_NODE id=n_d290cc6f313e node_type=claim\nt=0020 CREATE_NODE id=n_ba8ebdeff9bf node_type=claim\nt=0021 CREATE_NODE id=n_d05750e1cc44 node_type=claim\nt=0022 CREATE_NODE id=n_b05fb039220a node_type=claim\nt=0023 CREATE_NODE id=n_1013535d52d4 node_type=claim\nt=0024 CREATE_NODE id=n_3b549d6b1c12 node_type=claim\nt=0025 CREATE_NODE id=n_0ef2c1c1cc3d node_type=claim\nt=0026 CREATE_NODE id=n_f6b5d307cc1f node_type=claim\nt=0027 CREATE_NODE id=n_079531ddac91 node_type=claim\nt=0028 CREATE_NODE id=n_4dafc6d4eeed node_type=claim\nt=0029 CREATE_NODE id=n_6b359f181ba9 node_type=claim\nt=0030 ASSERT_ROOT node=n_4dafc6d4eeed value=FALSE\nt=0031 ADD_EDGE edge_id=e_0c3e7ba65f47 source=n_c91ea6ea3c4c edge_type=refutes target=n_6b359f181ba9\nt=0032 ADD_EDGE edge_id=e_0e5bfbad87fb source=n_d290cc6f313e edge_type=refutes target=n_d05750e1cc44\nt=0033 ADD_EDGE edge_id=e_b8a18a803b71 source=n_d5dcff501a35 edge_type=supports target=n_bf07f301be38\nt=0034 ADD_EDGE edge_id=e_039750e520f5 source=n_3547d66b0eda edge_type=supports target=n_dba7223bb206\nt=0035 ADD_EDGE edge_id=e_24563758fe68 source=n_4740c40169d8 edge_type=refutes target=n_ba8ebdeff9bf\nt=0036 ADD_EDGE edge_id=e_e2adbed12395 source=n_3b549d6b1c12 edge_type=refutes target=n_fcd76ed81c36\nt=0037 ADD_EDGE edge_id=e_d18bc82937e3 source=n_6b359f181ba9 edge_type=supports target=n_f6b5d307cc1f\nt=0038 ADD_EDGE edge_id=e_7bde54a0a59c source=n_6b359f181ba9 edge_type=supports target=n_a725ce91423c\nt=0039 ADD_EDGE edge_id=e_a69b7272d9e1 source=n_848498db91d3 edge_type=refutes target=n_d290cc6f313e\nt=0040 ADD_EDGE edge_id=e_b47afb008b09 source=n_4dafc6d4eeed edge_type=refutes target=n_cb6a766a27ea\nt=0041 ADD_EDGE edge_id=e_232d5c91d7e0 source=n_fcd76ed81c36 edge_type=supports target=n_4740c40169d8\nt=0042 ADD_EDGE edge_id=e_4abfed59cde4 source=n_3b549d6b1c12 edge_type=supports target=n_848498db91d3\nt=0043 ADD_EDGE edge_id=e_a27ea2aea4c8 source=n_079531ddac91 edge_type=supports target=n_0ef2c1c1cc3d\nt=0044 ADD_EDGE edge_id=e_65cccdf87cbe source=n_1013535d52d4 edge_type=supports target=n_3547d66b0eda\nt=0045 ADD_EDGE edge_id=e_76bbe3922a2e source=n_bf07f301be38 edge_type=refutes target=n_fd2c686e6cb0\nt=0046 ADD_EDGE edge_id=e_465ec3e43176 source=n_a725ce91423c edge_type=supports target=n_1013535d52d4\nt=0047 ADD_EDGE edge_id=e_de3a192457bd source=n_848498db91d3 edge_type=refutes target=n_1e543e30eb47\nt=0048 ADD_EDGE edge_id=e_2e20a3b78a68 source=n_d71daa62d723 edge_type=refutes target=n_a21467608673\nt=0049 ADD_EDGE edge_id=e_93f9bdd31e25 source=n_c91ea6ea3c4c edge_type=refutes target=n_a5a0b2b589d6\nt=0050 ADD_EDGE edge_id=e_db300e9eef65 source=n_b05fb039220a edge_type=supports target=n_d5dcff501a35\nt=0051 ADD_EDGE edge_id=e_b965887c9a2a source=n_3547d66b0eda edge_type=refutes target=n_b05fb039220a\nt=0052 ADD_EDGE edge_id=e_d0893448ae31 source=n_1013535d52d4 edge_type=supports target=n_f629142fb419\nt=0053 ADD_EDGE edge_id=e_d95ac1addd1b source=n_ba8ebdeff9bf edge_type=refutes target=n_9d66b3016942\nt=0054 ADD_EDGE edge_id=e_5ff98aca73c3 source=n_cb6a766a27ea edge_type=refutes target=n_c91ea6ea3c4c\nt=0055 ADD_EDGE edge_id=e_037b2e9bcbeb source=n_4740c40169d8 edge_type=supports target=n_d27471478efc\nt=0056 ADD_EDGE edge_id=e_3b7f0e81d859 source=n_1e543e30eb47 edge_type=refutes target=n_d71daa62d723\nt=0057 ADD_EDGE edge_id=e_e87d0db1baef source=n_3b549d6b1c12 edge_type=supports target=n_ebf5d339c1ec\nt=0058 ADD_EDGE edge_id=e_edd6b0cfabc6 source=n_3b549d6b1c12 edge_type=supports target=n_079531ddac91\nt=0059 QUERY source=n_4dafc6d4eeed target=n_fd2c686e6cb0\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2783,"provenance":{"base_record_id":"train-d10-042","dataset":"livegraph-deterministic-parity-v3","depth":10,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d10-042","split":"train","variant":"clean"},"record_seed":84662237450223285,"render_sha256":"6fb54a9999b6515e703d509bc6f89f818f7b74e436eff28ca6f9ada4c3d1dbdc","representation":"linear_trace","semantic_sha256":"ca22f7b13af57aa9d1ebe441b2a4022aee4cba57f4a48bf08f380edff2fddf92"}
{"char_count":5085,"item_id":"train-d10-043::linear_trace","label":"FALSE","lexical_token_proxy_count":868,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_53b35feb6b34 node_type=claim\nt=0001 CREATE_NODE id=n_da87c557e603 node_type=claim\nt=0002 CREATE_NODE id=n_89b6bf0d7966 node_type=claim\nt=0003 CREATE_NODE id=n_d593497ee166 node_type=claim\nt=0004 CREATE_NODE id=n_0839261f9493 node_type=claim\nt=0005 CREATE_NODE id=n_74f98a31725f node_type=claim\nt=0006 CREATE_NODE id=n_61b49c8c9939 node_type=claim\nt=0007 CREATE_NODE id=n_f899773e4c0c node_type=claim\nt=0008 CREATE_NODE id=n_6209bbba8a1e node_type=claim\nt=0009 CREATE_NODE id=n_993995d1b2f5 node_type=claim\nt=0010 CREATE_NODE id=n_523535cfaa3d node_type=claim\nt=0011 CREATE_NODE id=n_a0fb10ddd83e node_type=claim\nt=0012 CREATE_NODE id=n_7179ebaa97ff node_type=claim\nt=0013 CREATE_NODE id=n_b18f504e8b93 node_type=claim\nt=0014 CREATE_NODE id=n_73b0543d66db node_type=claim\nt=0015 CREATE_NODE id=n_0a3294861507 node_type=claim\nt=0016 CREATE_NODE id=n_c42b76617015 node_type=claim\nt=0017 CREATE_NODE id=n_f751d91e2e0a node_type=claim\nt=0018 CREATE_NODE id=n_a9df63e3265a node_type=claim\nt=0019 CREATE_NODE id=n_b966e26b49c6 node_type=claim\nt=0020 CREATE_NODE id=n_adfdef626c5f node_type=claim\nt=0021 CREATE_NODE id=n_3e582d78603f node_type=claim\nt=0022 CREATE_NODE id=n_2145dd7f0ddc node_type=claim\nt=0023 CREATE_NODE id=n_61988742d214 node_type=claim\nt=0024 CREATE_NODE id=n_3718ed9d784f node_type=claim\nt=0025 CREATE_NODE id=n_cc33f7014792 node_type=claim\nt=0026 CREATE_NODE id=n_4d8ba79a4a46 node_type=claim\nt=0027 CREATE_NODE id=n_6b0b617a302d node_type=claim\nt=0028 CREATE_NODE id=n_63a5c253defe node_type=claim\nt=0029 CREATE_NODE id=n_e4ce958af48f node_type=claim\nt=0030 ASSERT_ROOT node=n_4d8ba79a4a46 value=FALSE\nt=0031 ADD_EDGE edge_id=e_c2fc31227850 source=n_89b6bf0d7966 edge_type=refutes target=n_523535cfaa3d\nt=0032 ADD_EDGE edge_id=e_65fed6725f36 source=n_adfdef626c5f edge_type=refutes target=n_89b6bf0d7966\nt=0033 ADD_EDGE edge_id=e_f92f87d5f62d source=n_53b35feb6b34 edge_type=refutes target=n_0a3294861507\nt=0034 ADD_EDGE edge_id=e_968ca3a031d2 source=n_61988742d214 edge_type=supports target=n_a0fb10ddd83e\nt=0035 ADD_EDGE edge_id=e_3796c9e8e5e4 source=n_4d8ba79a4a46 edge_type=refutes target=n_7179ebaa97ff\nt=0036 ADD_EDGE edge_id=e_bc53f6de8306 source=n_a0fb10ddd83e edge_type=supports target=n_3e582d78603f\nt=0037 ADD_EDGE edge_id=e_d280426bdee2 source=n_b966e26b49c6 edge_type=refutes target=n_0839261f9493\nt=0038 ADD_EDGE edge_id=e_aa0fdbb25c26 source=n_61b49c8c9939 edge_type=supports target=n_6209bbba8a1e\nt=0039 ADD_EDGE edge_id=e_fa9c9eacd4ac source=n_993995d1b2f5 edge_type=supports target=n_f899773e4c0c\nt=0040 ADD_EDGE edge_id=e_8998a05a8174 source=n_3e582d78603f edge_type=refutes target=n_cc33f7014792\nt=0041 ADD_EDGE edge_id=e_70d779645858 source=n_61988742d214 edge_type=supports target=n_63a5c253defe\nt=0042 ADD_EDGE edge_id=e_797b1e485de9 source=n_3718ed9d784f edge_type=refutes target=n_a9df63e3265a\nt=0043 ADD_EDGE edge_id=e_8100b5dce633 source=n_61b49c8c9939 edge_type=refutes target=n_b966e26b49c6\nt=0044 ADD_EDGE edge_id=e_c1c84d1ac469 source=n_89b6bf0d7966 edge_type=refutes target=n_61b49c8c9939\nt=0045 ADD_EDGE edge_id=e_b09d2f2a8bda source=n_b18f504e8b93 edge_type=supports target=n_73b0543d66db\nt=0046 ADD_EDGE edge_id=e_952dace4371f source=n_3718ed9d784f edge_type=supports target=n_da87c557e603\nt=0047 ADD_EDGE edge_id=e_c029ecaba927 source=n_7179ebaa97ff edge_type=refutes target=n_53b35feb6b34\nt=0048 ADD_EDGE edge_id=e_deef6e808580 source=n_0a3294861507 edge_type=supports target=n_e4ce958af48f\nt=0049 ADD_EDGE edge_id=e_337469ae41e5 source=n_53b35feb6b34 edge_type=supports target=n_6b0b617a302d\nt=0050 ADD_EDGE edge_id=e_ca08a0bf4b3c source=n_74f98a31725f edge_type=refutes target=n_2145dd7f0ddc\nt=0051 ADD_EDGE edge_id=e_9d8b139a9f8d source=n_a0fb10ddd83e edge_type=supports target=n_993995d1b2f5\nt=0052 ADD_EDGE edge_id=e_d85efb2cacaf source=n_61988742d214 edge_type=refutes target=n_f751d91e2e0a\nt=0053 ADD_EDGE edge_id=e_430a254c3c26 source=n_a0fb10ddd83e edge_type=refutes target=n_3718ed9d784f\nt=0054 ADD_EDGE edge_id=e_c20e81b99375 source=n_a0fb10ddd83e edge_type=supports target=n_74f98a31725f\nt=0055 ADD_EDGE edge_id=e_3f2520df23bd source=n_b966e26b49c6 edge_type=supports target=n_b18f504e8b93\nt=0056 ADD_EDGE edge_id=e_1d5ac77c69d3 source=n_74f98a31725f edge_type=supports target=n_c42b76617015\nt=0057 ADD_EDGE edge_id=e_8969022520e8 source=n_2145dd7f0ddc edge_type=refutes target=n_d593497ee166\nt=0058 ADD_EDGE edge_id=e_3fc902fbc5d1 source=n_e4ce958af48f edge_type=supports target=n_adfdef626c5f\nt=0059 QUERY source=n_4d8ba79a4a46 target=n_73b0543d66db\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2831,"provenance":{"base_record_id":"train-d10-043","dataset":"livegraph-deterministic-parity-v3","depth":10,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d10-043","split":"train","variant":"clean"},"record_seed":21725676362939707,"render_sha256":"6f7f117fcb63011b2047f4f2ab50964c72699a182036079dfda3bd5faa875bd5","representation":"linear_trace","semantic_sha256":"f7b6c658d751a3b95e1c9f4fc6fa91410c24e547460da25e3c1c506cfd27ae45"}
{"char_count":5084,"item_id":"train-d10-044::linear_trace","label":"TRUE","lexical_token_proxy_count":868,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_d2352c76e62b node_type=claim\nt=0001 CREATE_NODE id=n_f28247854cec node_type=claim\nt=0002 CREATE_NODE id=n_b8d72b29de58 node_type=claim\nt=0003 CREATE_NODE id=n_460b11800221 node_type=claim\nt=0004 CREATE_NODE id=n_0723a7fb398c node_type=claim\nt=0005 CREATE_NODE id=n_69fb9dfbd525 node_type=claim\nt=0006 CREATE_NODE id=n_c3e0d38ec41d node_type=claim\nt=0007 CREATE_NODE id=n_2dcd3ac3d585 node_type=claim\nt=0008 CREATE_NODE id=n_1bbab1fb8add node_type=claim\nt=0009 CREATE_NODE id=n_8f3a9e4b7ee4 node_type=claim\nt=0010 CREATE_NODE id=n_fbad6b9c76fa node_type=claim\nt=0011 CREATE_NODE id=n_8c9b624b036c node_type=claim\nt=0012 CREATE_NODE id=n_0961ef154f79 node_type=claim\nt=0013 CREATE_NODE id=n_e5de8bfb62dc node_type=claim\nt=0014 CREATE_NODE id=n_3ab42a8d57cc node_type=claim\nt=0015 CREATE_NODE id=n_3bf675d467dd node_type=claim\nt=0016 CREATE_NODE id=n_4cd17ab9c142 node_type=claim\nt=0017 CREATE_NODE id=n_560e17ff9e8b node_type=claim\nt=0018 CREATE_NODE id=n_52f276da63ed node_type=claim\nt=0019 CREATE_NODE id=n_2e8a54c49061 node_type=claim\nt=0020 CREATE_NODE id=n_ba5fba5f8a66 node_type=claim\nt=0021 CREATE_NODE id=n_7da3bbf6c29a node_type=claim\nt=0022 CREATE_NODE id=n_ff2146a9283b node_type=claim\nt=0023 CREATE_NODE id=n_cdb9f94989f7 node_type=claim\nt=0024 CREATE_NODE id=n_25ccbfd59fc5 node_type=claim\nt=0025 CREATE_NODE id=n_af38e9d0defc node_type=claim\nt=0026 CREATE_NODE id=n_244464cdcd30 node_type=claim\nt=0027 CREATE_NODE id=n_3da12736d12c node_type=claim\nt=0028 CREATE_NODE id=n_fae6d51322df node_type=claim\nt=0029 CREATE_NODE id=n_b785b9ee181b node_type=claim\nt=0030 ASSERT_ROOT node=n_3da12736d12c value=TRUE\nt=0031 ADD_EDGE edge_id=e_ad519c16b090 source=n_244464cdcd30 edge_type=supports target=n_1bbab1fb8add\nt=0032 ADD_EDGE edge_id=e_228b50ecf001 source=n_fae6d51322df edge_type=supports target=n_560e17ff9e8b\nt=0033 ADD_EDGE edge_id=e_5dd0616e23eb source=n_0723a7fb398c edge_type=supports target=n_25ccbfd59fc5\nt=0034 ADD_EDGE edge_id=e_fe8c0a1290ff source=n_2e8a54c49061 edge_type=refutes target=n_d2352c76e62b\nt=0035 ADD_EDGE edge_id=e_c56beedd67e8 source=n_b785b9ee181b edge_type=refutes target=n_8f3a9e4b7ee4\nt=0036 ADD_EDGE edge_id=e_a6cae132cf91 source=n_e5de8bfb62dc edge_type=refutes target=n_b785b9ee181b\nt=0037 ADD_EDGE edge_id=e_d08b43873ff0 source=n_7da3bbf6c29a edge_type=supports target=n_fbad6b9c76fa\nt=0038 ADD_EDGE edge_id=e_08834d2da38a source=n_3bf675d467dd edge_type=supports target=n_69fb9dfbd525\nt=0039 ADD_EDGE edge_id=e_5160b2535c0c source=n_460b11800221 edge_type=supports target=n_0961ef154f79\nt=0040 ADD_EDGE edge_id=e_236264b58490 source=n_1bbab1fb8add edge_type=refutes target=n_e5de8bfb62dc\nt=0041 ADD_EDGE edge_id=e_c535053d72c0 source=n_0723a7fb398c edge_type=refutes target=n_af38e9d0defc\nt=0042 ADD_EDGE edge_id=e_d6d25a4ce533 source=n_560e17ff9e8b edge_type=supports target=n_460b11800221\nt=0043 ADD_EDGE edge_id=e_6aad4e7b58d5 source=n_1bbab1fb8add edge_type=refutes target=n_7da3bbf6c29a\nt=0044 ADD_EDGE edge_id=e_1398d52b9bc2 source=n_3ab42a8d57cc edge_type=supports target=n_2e8a54c49061\nt=0045 ADD_EDGE edge_id=e_ea9bee19e572 source=n_ba5fba5f8a66 edge_type=supports target=n_3bf675d467dd\nt=0046 ADD_EDGE edge_id=e_85345bea1d04 source=n_c3e0d38ec41d edge_type=supports target=n_3ab42a8d57cc\nt=0047 ADD_EDGE edge_id=e_312cf71b88bc source=n_560e17ff9e8b edge_type=supports target=n_b8d72b29de58\nt=0048 ADD_EDGE edge_id=e_b139fc7d55dd source=n_e5de8bfb62dc edge_type=refutes target=n_f28247854cec\nt=0049 ADD_EDGE edge_id=e_74e417da545c source=n_fbad6b9c76fa edge_type=supports target=n_ff2146a9283b\nt=0050 ADD_EDGE edge_id=e_83adfb8e8c09 source=n_7da3bbf6c29a edge_type=refutes target=n_52f276da63ed\nt=0051 ADD_EDGE edge_id=e_d812103d4ef3 source=n_25ccbfd59fc5 edge_type=refutes target=n_fae6d51322df\nt=0052 ADD_EDGE edge_id=e_c13d5b674b7b source=n_c3e0d38ec41d edge_type=supports target=n_4cd17ab9c142\nt=0053 ADD_EDGE edge_id=e_f140fe65da80 source=n_d2352c76e62b edge_type=refutes target=n_0723a7fb398c\nt=0054 ADD_EDGE edge_id=e_f912c18c0e82 source=n_1bbab1fb8add edge_type=refutes target=n_2dcd3ac3d585\nt=0055 ADD_EDGE edge_id=e_e3b91161b8d1 source=n_7da3bbf6c29a edge_type=refutes target=n_cdb9f94989f7\nt=0056 ADD_EDGE edge_id=e_81f8f433e907 source=n_fae6d51322df edge_type=refutes target=n_8c9b624b036c\nt=0057 ADD_EDGE edge_id=e_b9a71bea5fb4 source=n_3da12736d12c edge_type=refutes target=n_c3e0d38ec41d\nt=0058 ADD_EDGE edge_id=e_0793dcd6f422 source=n_7da3bbf6c29a edge_type=supports target=n_ba5fba5f8a66\nt=0059 QUERY source=n_3da12736d12c target=n_0961ef154f79\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2773,"provenance":{"base_record_id":"train-d10-044","dataset":"livegraph-deterministic-parity-v3","depth":10,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d10-044","split":"train","variant":"clean"},"record_seed":683632885247605516,"render_sha256":"399e845152e80c00f373ebd9a235059f8e250643fe90805a4e4f42929feb3c63","representation":"linear_trace","semantic_sha256":"fef83b6ee00effcea819c729595cfe6fa86683227153bca4bb078ff3d3aa8091"}
{"char_count":5084,"item_id":"train-d10-045::linear_trace","label":"FALSE","lexical_token_proxy_count":868,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_1b206710b559 node_type=claim\nt=0001 CREATE_NODE id=n_47c51dddb1ea node_type=claim\nt=0002 CREATE_NODE id=n_675a7c8f8a0b node_type=claim\nt=0003 CREATE_NODE id=n_496e20da48c7 node_type=claim\nt=0004 CREATE_NODE id=n_c6ec730208c7 node_type=claim\nt=0005 CREATE_NODE id=n_2e3baff48520 node_type=claim\nt=0006 CREATE_NODE id=n_4c1e49a4f63d node_type=claim\nt=0007 CREATE_NODE id=n_0dd5eb9c2f67 node_type=claim\nt=0008 CREATE_NODE id=n_be8cf3bfe442 node_type=claim\nt=0009 CREATE_NODE id=n_e3255d95ee7a node_type=claim\nt=0010 CREATE_NODE id=n_1616aa1492d2 node_type=claim\nt=0011 CREATE_NODE id=n_9d92a99621d3 node_type=claim\nt=0012 CREATE_NODE id=n_6ede2c8ed1f8 node_type=claim\nt=0013 CREATE_NODE id=n_5f28bd036f07 node_type=claim\nt=0014 CREATE_NODE id=n_cb7aba1f8287 node_type=claim\nt=0015 CREATE_NODE id=n_f2829ce3c987 node_type=claim\nt=0016 CREATE_NODE id=n_510108c59a3d node_type=claim\nt=0017 CREATE_NODE id=n_f1a19a90eb02 node_type=claim\nt=0018 CREATE_NODE id=n_da4b901cecb8 node_type=claim\nt=0019 CREATE_NODE id=n_8fb5388395d0 node_type=claim\nt=0020 CREATE_NODE id=n_2099d5de3db6 node_type=claim\nt=0021 CREATE_NODE id=n_027e24c26f91 node_type=claim\nt=0022 CREATE_NODE id=n_6a022bd672bc node_type=claim\nt=0023 CREATE_NODE id=n_fce5f803987a node_type=claim\nt=0024 CREATE_NODE id=n_237869301ce3 node_type=claim\nt=0025 CREATE_NODE id=n_75eca55ce702 node_type=claim\nt=0026 CREATE_NODE id=n_01a15338aa25 node_type=claim\nt=0027 CREATE_NODE id=n_06020fe606eb node_type=claim\nt=0028 CREATE_NODE id=n_a3102bc711e8 node_type=claim\nt=0029 CREATE_NODE id=n_ac8ef7e66396 node_type=claim\nt=0030 ASSERT_ROOT node=n_0dd5eb9c2f67 value=TRUE\nt=0031 ADD_EDGE edge_id=e_b2c51c89db18 source=n_cb7aba1f8287 edge_type=supports target=n_6a022bd672bc\nt=0032 ADD_EDGE edge_id=e_3a6a5e57f54b source=n_f2829ce3c987 edge_type=refutes target=n_e3255d95ee7a\nt=0033 ADD_EDGE edge_id=e_c25dca31d9ef source=n_f2829ce3c987 edge_type=refutes target=n_496e20da48c7\nt=0034 ADD_EDGE edge_id=e_5ad39e9b2972 source=n_2099d5de3db6 edge_type=refutes target=n_5f28bd036f07\nt=0035 ADD_EDGE edge_id=e_2ef47d974d5c source=n_496e20da48c7 edge_type=refutes target=n_be8cf3bfe442\nt=0036 ADD_EDGE edge_id=e_dceabcf6fc09 source=n_75eca55ce702 edge_type=supports target=n_027e24c26f91\nt=0037 ADD_EDGE edge_id=e_d6e7541d94e6 source=n_4c1e49a4f63d edge_type=refutes target=n_8fb5388395d0\nt=0038 ADD_EDGE edge_id=e_37d52f70f6a5 source=n_496e20da48c7 edge_type=refutes target=n_2e3baff48520\nt=0039 ADD_EDGE edge_id=e_4b90ec2b4bad source=n_027e24c26f91 edge_type=supports target=n_a3102bc711e8\nt=0040 ADD_EDGE edge_id=e_fdc58156a2fe source=n_8fb5388395d0 edge_type=refutes target=n_1b206710b559\nt=0041 ADD_EDGE edge_id=e_200433b6e995 source=n_2e3baff48520 edge_type=refutes target=n_6ede2c8ed1f8\nt=0042 ADD_EDGE edge_id=e_b4290a62c1de source=n_6ede2c8ed1f8 edge_type=refutes target=n_9d92a99621d3\nt=0043 ADD_EDGE edge_id=e_ceb67fd61fbd source=n_06020fe606eb edge_type=refutes target=n_1616aa1492d2\nt=0044 ADD_EDGE edge_id=e_331b54cbc997 source=n_5f28bd036f07 edge_type=refutes target=n_75eca55ce702\nt=0045 ADD_EDGE edge_id=e_26594aaea80a source=n_f1a19a90eb02 edge_type=supports target=n_06020fe606eb\nt=0046 ADD_EDGE edge_id=e_f5661308648d source=n_75eca55ce702 edge_type=refutes target=n_c6ec730208c7\nt=0047 ADD_EDGE edge_id=e_3b09bce0f059 source=n_0dd5eb9c2f67 edge_type=refutes target=n_2099d5de3db6\nt=0048 ADD_EDGE edge_id=e_278c2e13aa14 source=n_cb7aba1f8287 edge_type=supports target=n_675a7c8f8a0b\nt=0049 ADD_EDGE edge_id=e_2411b40bf456 source=n_2e3baff48520 edge_type=supports target=n_fce5f803987a\nt=0050 ADD_EDGE edge_id=e_85519cd4f8d2 source=n_cb7aba1f8287 edge_type=refutes target=n_da4b901cecb8\nt=0051 ADD_EDGE edge_id=e_8ead0b08254e source=n_cb7aba1f8287 edge_type=supports target=n_47c51dddb1ea\nt=0052 ADD_EDGE edge_id=e_d60abbf40293 source=n_675a7c8f8a0b edge_type=supports target=n_ac8ef7e66396\nt=0053 ADD_EDGE edge_id=e_d40cb62ceb7f source=n_a3102bc711e8 edge_type=supports target=n_f2829ce3c987\nt=0054 ADD_EDGE edge_id=e_7923893064fd source=n_6a022bd672bc edge_type=supports target=n_510108c59a3d\nt=0055 ADD_EDGE edge_id=e_91e678aee97b source=n_1b206710b559 edge_type=supports target=n_01a15338aa25\nt=0056 ADD_EDGE edge_id=e_784aebe20418 source=n_675a7c8f8a0b edge_type=supports target=n_4c1e49a4f63d\nt=0057 ADD_EDGE edge_id=e_ab418851aa2c source=n_4c1e49a4f63d edge_type=supports target=n_f1a19a90eb02\nt=0058 ADD_EDGE edge_id=e_e788259537b3 source=n_4c1e49a4f63d edge_type=supports target=n_237869301ce3\nt=0059 QUERY source=n_0dd5eb9c2f67 target=n_9d92a99621d3\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2802,"provenance":{"base_record_id":"train-d10-045","dataset":"livegraph-deterministic-parity-v3","depth":10,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d10-045","split":"train","variant":"clean"},"record_seed":331051157161355065,"render_sha256":"d31bb4eddcf5d8144ba48f409f924d35c0db53955960d6ee72907fd10632259c","representation":"linear_trace","semantic_sha256":"e224e6c4ead1705328973cd7f526de3cc87a7a8c0243e5c3895e64cf5c98bbc9"}
{"char_count":5085,"item_id":"train-d10-046::linear_trace","label":"TRUE","lexical_token_proxy_count":868,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_a264ea1883b6 node_type=claim\nt=0001 CREATE_NODE id=n_d2aa3f78f276 node_type=claim\nt=0002 CREATE_NODE id=n_9b66bcbabc81 node_type=claim\nt=0003 CREATE_NODE id=n_3a590ce36be0 node_type=claim\nt=0004 CREATE_NODE id=n_6d5e8347e2b5 node_type=claim\nt=0005 CREATE_NODE id=n_a39262affd59 node_type=claim\nt=0006 CREATE_NODE id=n_25c1258f0a01 node_type=claim\nt=0007 CREATE_NODE id=n_65c2c7deccb3 node_type=claim\nt=0008 CREATE_NODE id=n_6d338d89d460 node_type=claim\nt=0009 CREATE_NODE id=n_7d046c9bd645 node_type=claim\nt=0010 CREATE_NODE id=n_d532cf9bf65d node_type=claim\nt=0011 CREATE_NODE id=n_1b0267f1ea9b node_type=claim\nt=0012 CREATE_NODE id=n_6f58e9e27ef5 node_type=claim\nt=0013 CREATE_NODE id=n_67da1120151c node_type=claim\nt=0014 CREATE_NODE id=n_79b60b41176d node_type=claim\nt=0015 CREATE_NODE id=n_7f453e21e54d node_type=claim\nt=0016 CREATE_NODE id=n_edd17e428639 node_type=claim\nt=0017 CREATE_NODE id=n_e965c644d607 node_type=claim\nt=0018 CREATE_NODE id=n_095c08f0e39e node_type=claim\nt=0019 CREATE_NODE id=n_0eb93f42819e node_type=claim\nt=0020 CREATE_NODE id=n_64ebe7181860 node_type=claim\nt=0021 CREATE_NODE id=n_1b16043d086e node_type=claim\nt=0022 CREATE_NODE id=n_fe5b0a68db37 node_type=claim\nt=0023 CREATE_NODE id=n_3b99c15ace17 node_type=claim\nt=0024 CREATE_NODE id=n_6594ee929a7e node_type=claim\nt=0025 CREATE_NODE id=n_97767e9ae45f node_type=claim\nt=0026 CREATE_NODE id=n_23df3ee1d403 node_type=claim\nt=0027 CREATE_NODE id=n_5092bfcd23ec node_type=claim\nt=0028 CREATE_NODE id=n_d5a9a2f9b926 node_type=claim\nt=0029 CREATE_NODE id=n_1a74e2b64e79 node_type=claim\nt=0030 ASSERT_ROOT node=n_a264ea1883b6 value=FALSE\nt=0031 ADD_EDGE edge_id=e_980dd39d3baf source=n_97767e9ae45f edge_type=supports target=n_d5a9a2f9b926\nt=0032 ADD_EDGE edge_id=e_5fe61c68b946 source=n_fe5b0a68db37 edge_type=refutes target=n_1b16043d086e\nt=0033 ADD_EDGE edge_id=e_1b9ff4e1eec3 source=n_a39262affd59 edge_type=refutes target=n_65c2c7deccb3\nt=0034 ADD_EDGE edge_id=e_db9a9936f537 source=n_1b0267f1ea9b edge_type=refutes target=n_23df3ee1d403\nt=0035 ADD_EDGE edge_id=e_8795a9bd5783 source=n_1b0267f1ea9b edge_type=refutes target=n_3b99c15ace17\nt=0036 ADD_EDGE edge_id=e_64f3518e7e91 source=n_fe5b0a68db37 edge_type=refutes target=n_d532cf9bf65d\nt=0037 ADD_EDGE edge_id=e_289f7cfb272c source=n_1b0267f1ea9b edge_type=refutes target=n_095c08f0e39e\nt=0038 ADD_EDGE edge_id=e_e41ed7084720 source=n_6d5e8347e2b5 edge_type=supports target=n_1a74e2b64e79\nt=0039 ADD_EDGE edge_id=e_17e6d6a92e2c source=n_7d046c9bd645 edge_type=supports target=n_3a590ce36be0\nt=0040 ADD_EDGE edge_id=e_2dcf25b6b744 source=n_6d338d89d460 edge_type=refutes target=n_7d046c9bd645\nt=0041 ADD_EDGE edge_id=e_486d44796c06 source=n_67da1120151c edge_type=supports target=n_97767e9ae45f\nt=0042 ADD_EDGE edge_id=e_9ee35adce00b source=n_1b16043d086e edge_type=supports target=n_a39262affd59\nt=0043 ADD_EDGE edge_id=e_e7e3b01de077 source=n_a264ea1883b6 edge_type=refutes target=n_6d5e8347e2b5\nt=0044 ADD_EDGE edge_id=e_83fb31cdbe14 source=n_6594ee929a7e edge_type=supports target=n_e965c644d607\nt=0045 ADD_EDGE edge_id=e_c9e4dc5469fa source=n_3a590ce36be0 edge_type=supports target=n_25c1258f0a01\nt=0046 ADD_EDGE edge_id=e_9e90ac08dedf source=n_d5a9a2f9b926 edge_type=supports target=n_5092bfcd23ec\nt=0047 ADD_EDGE edge_id=e_76599e3812a0 source=n_67da1120151c edge_type=supports target=n_d2aa3f78f276\nt=0048 ADD_EDGE edge_id=e_00ca900bb656 source=n_095c08f0e39e edge_type=refutes target=n_6594ee929a7e\nt=0049 ADD_EDGE edge_id=e_8311587cde77 source=n_67da1120151c edge_type=refutes target=n_6f58e9e27ef5\nt=0050 ADD_EDGE edge_id=e_3906f09a0d07 source=n_edd17e428639 edge_type=supports target=n_0eb93f42819e\nt=0051 ADD_EDGE edge_id=e_47e55f5274cd source=n_79b60b41176d edge_type=refutes target=n_6d338d89d460\nt=0052 ADD_EDGE edge_id=e_01d316b967e3 source=n_1b16043d086e edge_type=supports target=n_64ebe7181860\nt=0053 ADD_EDGE edge_id=e_e533585715cc source=n_6594ee929a7e edge_type=refutes target=n_79b60b41176d\nt=0054 ADD_EDGE edge_id=e_7385d82b3a15 source=n_1a74e2b64e79 edge_type=refutes target=n_1b0267f1ea9b\nt=0055 ADD_EDGE edge_id=e_f2fa60e62481 source=n_d532cf9bf65d edge_type=supports target=n_67da1120151c\nt=0056 ADD_EDGE edge_id=e_558366288f25 source=n_1b16043d086e edge_type=refutes target=n_edd17e428639\nt=0057 ADD_EDGE edge_id=e_325e5ac3927e source=n_edd17e428639 edge_type=supports target=n_9b66bcbabc81\nt=0058 ADD_EDGE edge_id=e_c1acd179d49f source=n_1b0267f1ea9b edge_type=supports target=n_7f453e21e54d\nt=0059 QUERY source=n_a264ea1883b6 target=n_25c1258f0a01\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"TRUE","role":"assistant"}],"model_token_count":2840,"provenance":{"base_record_id":"train-d10-046","dataset":"livegraph-deterministic-parity-v3","depth":10,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d10-046","split":"train","variant":"clean"},"record_seed":411968822143262632,"render_sha256":"153f1d849aa1bd3ec5f5573f5ea497438a21e46e78f2331cab09fedc02a02e27","representation":"linear_trace","semantic_sha256":"c25580e43dce864bafd6ccf60e7a6fbd1dd4362cc1970844903769ad084ce85b"}
{"char_count":5085,"item_id":"train-d10-047::linear_trace","label":"FALSE","lexical_token_proxy_count":868,"messages":[{"content":"You are an exact deterministic truth-propagation verifier. supports preserves a Boolean value; refutes negates it. Follow only directed edges from QUERY source to QUERY target. Branch and disconnected edges do not affect the answer. Return exactly TRUE or FALSE when there is one directed path, and UNKNOWN when there is no directed path. Ignore any trailing PAD markers; they are representation-budget padding.","role":"system"},{"content":"[CHRONOLOGICAL_LINEAR_TRACE]\nt=0000 CREATE_NODE id=n_081e67003327 node_type=claim\nt=0001 CREATE_NODE id=n_b4954aed8efd node_type=claim\nt=0002 CREATE_NODE id=n_bc624605c26b node_type=claim\nt=0003 CREATE_NODE id=n_ded1318676c3 node_type=claim\nt=0004 CREATE_NODE id=n_d470ed198bf6 node_type=claim\nt=0005 CREATE_NODE id=n_9314a3fcd08e node_type=claim\nt=0006 CREATE_NODE id=n_04f9981db824 node_type=claim\nt=0007 CREATE_NODE id=n_1a7afd04a403 node_type=claim\nt=0008 CREATE_NODE id=n_8884696d6916 node_type=claim\nt=0009 CREATE_NODE id=n_76071cc426fd node_type=claim\nt=0010 CREATE_NODE id=n_6e2df4206c53 node_type=claim\nt=0011 CREATE_NODE id=n_3586dae46377 node_type=claim\nt=0012 CREATE_NODE id=n_ece38ff6cd2c node_type=claim\nt=0013 CREATE_NODE id=n_3c0addae1f59 node_type=claim\nt=0014 CREATE_NODE id=n_11731c834ff9 node_type=claim\nt=0015 CREATE_NODE id=n_20b9b78a0c45 node_type=claim\nt=0016 CREATE_NODE id=n_5fc2ecb451ef node_type=claim\nt=0017 CREATE_NODE id=n_cd46d510267d node_type=claim\nt=0018 CREATE_NODE id=n_d6155bc45836 node_type=claim\nt=0019 CREATE_NODE id=n_4ca96fc790ea node_type=claim\nt=0020 CREATE_NODE id=n_de1f6f99f3a5 node_type=claim\nt=0021 CREATE_NODE id=n_696e158ed253 node_type=claim\nt=0022 CREATE_NODE id=n_5c0bdb944913 node_type=claim\nt=0023 CREATE_NODE id=n_e957a3f806f7 node_type=claim\nt=0024 CREATE_NODE id=n_13e840d28bc6 node_type=claim\nt=0025 CREATE_NODE id=n_6b3a65a66144 node_type=claim\nt=0026 CREATE_NODE id=n_401176b19108 node_type=claim\nt=0027 CREATE_NODE id=n_8c9a25902381 node_type=claim\nt=0028 CREATE_NODE id=n_74361f871bd5 node_type=claim\nt=0029 CREATE_NODE id=n_6c4a198dff67 node_type=claim\nt=0030 ASSERT_ROOT node=n_401176b19108 value=FALSE\nt=0031 ADD_EDGE edge_id=e_e4a6de5d81ee source=n_de1f6f99f3a5 edge_type=supports target=n_6e2df4206c53\nt=0032 ADD_EDGE edge_id=e_bd60d6f2393b source=n_04f9981db824 edge_type=refutes target=n_de1f6f99f3a5\nt=0033 ADD_EDGE edge_id=e_bd406075dc7a source=n_cd46d510267d edge_type=supports target=n_6b3a65a66144\nt=0034 ADD_EDGE edge_id=e_6506474d11b3 source=n_6e2df4206c53 edge_type=refutes target=n_11731c834ff9\nt=0035 ADD_EDGE edge_id=e_bcb0dad59f58 source=n_ded1318676c3 edge_type=refutes target=n_4ca96fc790ea\nt=0036 ADD_EDGE edge_id=e_ef5f4d99c167 source=n_d470ed198bf6 edge_type=refutes target=n_04f9981db824\nt=0037 ADD_EDGE edge_id=e_ba3b25c475b5 source=n_04f9981db824 edge_type=supports target=n_13e840d28bc6\nt=0038 ADD_EDGE edge_id=e_df9d379baac9 source=n_cd46d510267d edge_type=refutes target=n_696e158ed253\nt=0039 ADD_EDGE edge_id=e_936163a836ce source=n_74361f871bd5 edge_type=supports target=n_bc624605c26b\nt=0040 ADD_EDGE edge_id=e_75a55ad1110f source=n_74361f871bd5 edge_type=supports target=n_081e67003327\nt=0041 ADD_EDGE edge_id=e_1ffa7e652073 source=n_76071cc426fd edge_type=refutes target=n_ece38ff6cd2c\nt=0042 ADD_EDGE edge_id=e_4b4e8f23069e source=n_d470ed198bf6 edge_type=refutes target=n_74361f871bd5\nt=0043 ADD_EDGE edge_id=e_0a6cd4c70084 source=n_76071cc426fd edge_type=supports target=n_e957a3f806f7\nt=0044 ADD_EDGE edge_id=e_743c554cd141 source=n_ece38ff6cd2c edge_type=supports target=n_8c9a25902381\nt=0045 ADD_EDGE edge_id=e_3160427333e4 source=n_d470ed198bf6 edge_type=supports target=n_cd46d510267d\nt=0046 ADD_EDGE edge_id=e_5833a393495f source=n_401176b19108 edge_type=refutes target=n_3586dae46377\nt=0047 ADD_EDGE edge_id=e_389bfdbd264c source=n_20b9b78a0c45 edge_type=refutes target=n_5fc2ecb451ef\nt=0048 ADD_EDGE edge_id=e_b238bcfce7ed source=n_74361f871bd5 edge_type=refutes target=n_9314a3fcd08e\nt=0049 ADD_EDGE edge_id=e_f65e82f82f5c source=n_6c4a198dff67 edge_type=supports target=n_1a7afd04a403\nt=0050 ADD_EDGE edge_id=e_b48b910ae80f source=n_4ca96fc790ea edge_type=supports target=n_76071cc426fd\nt=0051 ADD_EDGE edge_id=e_ea15f0cfc809 source=n_cd46d510267d edge_type=supports target=n_b4954aed8efd\nt=0052 ADD_EDGE edge_id=e_890f69c51e76 source=n_04f9981db824 edge_type=supports target=n_5c0bdb944913\nt=0053 ADD_EDGE edge_id=e_b2d2ed9cccaf source=n_8c9a25902381 edge_type=refutes target=n_3c0addae1f59\nt=0054 ADD_EDGE edge_id=e_48719bb6ee9d source=n_3586dae46377 edge_type=refutes target=n_20b9b78a0c45\nt=0055 ADD_EDGE edge_id=e_f18356abfc2a source=n_401176b19108 edge_type=refutes target=n_8884696d6916\nt=0056 ADD_EDGE edge_id=e_19b079f34d65 source=n_d6155bc45836 edge_type=supports target=n_6c4a198dff67\nt=0057 ADD_EDGE edge_id=e_1bb69a0289d2 source=n_3c0addae1f59 edge_type=supports target=n_d6155bc45836\nt=0058 ADD_EDGE edge_id=e_5b9fa7a952bc source=n_20b9b78a0c45 edge_type=refutes target=n_ded1318676c3\nt=0059 QUERY source=n_401176b19108 target=n_6c4a198dff67\n[QUESTION] Propagate the root fact along the directed query path.\nAnswer exactly TRUE, FALSE, or UNKNOWN.","role":"user"},{"content":"FALSE","role":"assistant"}],"model_token_count":2814,"provenance":{"base_record_id":"train-d10-047","dataset":"livegraph-deterministic-parity-v3","depth":10,"generator_version":"3.0.0","representation":"linear_trace","semantic_record_id":"train-d10-047","split":"train","variant":"clean"},"record_seed":692020308274494428,"render_sha256":"cfea1aeb275e56bdc17adcf6c4f226b802e08c931bf7bffe9e7c7b0d85e5d791","representation":"linear_trace","semantic_sha256":"a23b40db9aecd717ee5899e174f372c5ab21fc3326ca7c40e93ef5a2e79d5d79"}