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The dataset generation failed
Error code:   DatasetGenerationError
Exception:    CastError
Message:      Couldn't cast
construction_signature_sha256: string
depth: int64
edges: list<item: struct<dst: string, id: string, relation: string, role: string, src: string>>
  child 0, item: struct<dst: string, id: string, relation: string, role: string, src: string>
      child 0, dst: string
      child 1, id: string
      child 2, relation: string
      child 3, role: string
      child 4, src: string
label: string
nodes: list<item: struct<id: string, type: string>>
  child 0, item: struct<id: string, type: string>
      child 0, id: string
      child 1, type: string
provenance: struct<attempt: int64, dataset: string, depth: int64, generator: string, generator_version: string,  (... 78 chars omitted)
  child 0, attempt: int64
  child 1, dataset: string
  child 2, depth: int64
  child 3, generator: string
  child 4, generator_version: string
  child 5, label_schedule: string
  child 6, master_seed: int64
  child 7, record_seed: int64
  child 8, split: string
query: struct<source: string, target: string>
  child 0, source: string
  child 1, target: string
record_id: string
record_seed: int64
root_facts: list<item: struct<node_id: string, value: string>>
  child 0, item: struct<node_id: string, value: string>
      child 0, node_id: string
      child 1, value: string
schema_version: string
semantic_sha256: string
split: string
generator: string
prompt_hash: string
prompt: list<item: struct<content: string, role: string>>
  child 0, item: struct<content: string, role: string>
      child 0, content: string
      child 1, role: string
schema: string
spec_json: string
hop: int64
gold: string
spec_hash: string
item_id: string
view: string
to
{'generator': Value('string'), 'gold': Value('string'), 'hop': Value('int64'), 'item_id': Value('string'), 'prompt': List({'content': Value('string'), 'role': Value('string')}), 'prompt_hash': Value('string'), 'schema': Value('string'), 'spec_hash': Value('string'), 'spec_json': Value('string'), 'split': Value('string'), 'view': Value('string')}
because column names don't match
Traceback:    Traceback (most recent call last):
                File "/usr/local/lib/python3.14/site-packages/datasets/builder.py", line 1816, in _prepare_split_single
                  for key, table in generator:
                                    ^^^^^^^^^
                File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 613, in wrapped
                  for item in generator(*args, **kwargs):
                              ~~~~~~~~~^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.14/site-packages/datasets/packaged_modules/json/json.py", line 343, in _generate_tables
                  self._cast_table(pa_table, json_field_paths=json_field_paths),
                  ~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.14/site-packages/datasets/packaged_modules/json/json.py", line 132, in _cast_table
                  pa_table = table_cast(pa_table, self.info.features.arrow_schema)
                File "/usr/local/lib/python3.14/site-packages/datasets/table.py", line 2369, in table_cast
                  return cast_table_to_schema(table, schema)
                File "/usr/local/lib/python3.14/site-packages/datasets/table.py", line 2297, in cast_table_to_schema
                  raise CastError(
                  ...<3 lines>...
                  )
              datasets.table.CastError: Couldn't cast
              construction_signature_sha256: string
              depth: int64
              edges: list<item: struct<dst: string, id: string, relation: string, role: string, src: string>>
                child 0, item: struct<dst: string, id: string, relation: string, role: string, src: string>
                    child 0, dst: string
                    child 1, id: string
                    child 2, relation: string
                    child 3, role: string
                    child 4, src: string
              label: string
              nodes: list<item: struct<id: string, type: string>>
                child 0, item: struct<id: string, type: string>
                    child 0, id: string
                    child 1, type: string
              provenance: struct<attempt: int64, dataset: string, depth: int64, generator: string, generator_version: string,  (... 78 chars omitted)
                child 0, attempt: int64
                child 1, dataset: string
                child 2, depth: int64
                child 3, generator: string
                child 4, generator_version: string
                child 5, label_schedule: string
                child 6, master_seed: int64
                child 7, record_seed: int64
                child 8, split: string
              query: struct<source: string, target: string>
                child 0, source: string
                child 1, target: string
              record_id: string
              record_seed: int64
              root_facts: list<item: struct<node_id: string, value: string>>
                child 0, item: struct<node_id: string, value: string>
                    child 0, node_id: string
                    child 1, value: string
              schema_version: string
              semantic_sha256: string
              split: string
              generator: string
              prompt_hash: string
              prompt: list<item: struct<content: string, role: string>>
                child 0, item: struct<content: string, role: string>
                    child 0, content: string
                    child 1, role: string
              schema: string
              spec_json: string
              hop: int64
              gold: string
              spec_hash: string
              item_id: string
              view: string
              to
              {'generator': Value('string'), 'gold': Value('string'), 'hop': Value('int64'), 'item_id': Value('string'), 'prompt': List({'content': Value('string'), 'role': Value('string')}), 'prompt_hash': Value('string'), 'schema': Value('string'), 'spec_hash': Value('string'), 'spec_json': Value('string'), 'split': Value('string'), 'view': Value('string')}
              because column names don't match
              
              The above exception was the direct cause of the following exception:
              
              Traceback (most recent call last):
                File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 1369, in compute_config_parquet_and_info_response
                  parquet_operations, partial, estimated_dataset_info = stream_convert_to_parquet(
                                                                        ~~~~~~~~~~~~~~~~~~~~~~~~~^
                      builder, max_dataset_size_bytes=max_dataset_size_bytes
                      ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                  )
                  ^
                File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 948, in stream_convert_to_parquet
                  builder._prepare_split(split_generator=splits_generators[split], file_format="parquet")
                  ~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.14/site-packages/datasets/builder.py", line 1683, in _prepare_split
                  for job_id, done, content in self._prepare_split_single(
                                               ~~~~~~~~~~~~~~~~~~~~~~~~~~^
                      gen_kwargs=gen_kwargs, job_id=job_id, **_prepare_split_args
                      ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                  ):
                  ^
                File "/usr/local/lib/python3.14/site-packages/datasets/builder.py", line 1869, in _prepare_split_single
                  raise DatasetGenerationError("An error occurred while generating the dataset") from e
              datasets.exceptions.DatasetGenerationError: An error occurred while generating the dataset

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generator
string
gold
string
hop
int64
item_id
string
prompt
list
prompt_hash
string
schema
string
spec_hash
string
spec_json
string
split
string
view
string
livegraph-grpo-v1
FALSE
4
lggrpo1-05396660135b61cc5088
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v02 --refutes--> v05\n- v02 --refu...
7e12fa540b1d4dac1e67196a3f7013db56aba6a38be47fdd687f384a397b7a26
livegraph.boolean-propagation.v1
05396660135b61cc50887e3206ed6fe0a67dcf7313f88084949dbc4bc28aadbf
{"edges":[{"dst":"v00","relation":"refutes","src":"v01"},{"dst":"v04","relation":"refutes","src":"v01"},{"dst":"v01","relation":"refutes","src":"v02"},{"dst":"v05","relation":"refutes","src":"v02"},{"dst":"v06","relation":"refutes","src":"v03"},{"dst":"v02","relation":"refutes","src":"v06"}],"hop":4,"root":"v03","root_...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-6631e46e6068cfac63ee
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v00 --supports--> v02\n- v00 --ref...
e3a9fbc04cd0ea1e9fc93a2644ed60bdd56cc934a301e1b7eba522898856bbc4
livegraph.boolean-propagation.v1
6631e46e6068cfac63eeba5e787e9d8b4da7afa8cad23c8589085853992b1cbd
{"edges":[{"dst":"v03","relation":"refutes","src":"v00"},{"dst":"v02","relation":"supports","src":"v00"},{"dst":"v05","relation":"refutes","src":"v03"},{"dst":"v06","relation":"supports","src":"v04"},{"dst":"v04","relation":"refutes","src":"v05"},{"dst":"v01","relation":"supports","src":"v05"}],"hop":4,"root":"v00","ro...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-31c5ab6ab6bc8803d962
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v06 --supports--> v00\n- v03 --sup...
87ca3a24b9c729fd339d28f5f7815fb79b66814cac7584b2190c32aa932a8472
livegraph.boolean-propagation.v1
31c5ab6ab6bc8803d9620e7aac898f92645c5cbdd1c99cfbe2a0a7c5aa15f1ed
{"edges":[{"dst":"v03","relation":"supports","src":"v02"},{"dst":"v01","relation":"supports","src":"v03"},{"dst":"v06","relation":"supports","src":"v03"},{"dst":"v05","relation":"refutes","src":"v04"},{"dst":"v02","relation":"supports","src":"v04"},{"dst":"v00","relation":"supports","src":"v06"}],"hop":4,"root":"v04","...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-ed331ec38b12b31343dd
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v05 --supports--> v00\n- v00 --sup...
6951196ed5b5a6efceb3c753540c05d797d1b82b36ca19931ea00b00fbffc6f8
livegraph.boolean-propagation.v1
ed331ec38b12b31343dd2dc35df283bcb20da3a00da7b8e461d867f053ed5c1c
{"edges":[{"dst":"v01","relation":"supports","src":"v00"},{"dst":"v02","relation":"refutes","src":"v01"},{"dst":"v06","relation":"supports","src":"v02"},{"dst":"v00","relation":"supports","src":"v05"},{"dst":"v03","relation":"supports","src":"v05"},{"dst":"v04","relation":"supports","src":"v05"}],"hop":4,"root":"v05","...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-cdd6b68429bf7f7ce4be
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v00 --refutes--> v02\n- v03 --supp...
d4a82da47e8bb02b25f31de8975f665ff18469ca130f75825a49ae3f4789fbf6
livegraph.boolean-propagation.v1
cdd6b68429bf7f7ce4be5f30413e9055162e9acd424dfe6a6b20b92114888356
{"edges":[{"dst":"v02","relation":"refutes","src":"v00"},{"dst":"v01","relation":"refutes","src":"v02"},{"dst":"v05","relation":"supports","src":"v02"},{"dst":"v06","relation":"supports","src":"v03"},{"dst":"v04","relation":"refutes","src":"v06"},{"dst":"v00","relation":"supports","src":"v06"}],"hop":4,"root":"v03","ro...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-e19ee7a2932c9307eeae
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v06 --refutes--> v04\n- v00 --supp...
970821880c26042bbc8e04bc09a404ec1a020f65b348f4394c298e63cbb4f1e5
livegraph.boolean-propagation.v1
e19ee7a2932c9307eeaef8596df29f0899c03a857cf8a9ccdb5a8e6415ed8b8d
{"edges":[{"dst":"v05","relation":"supports","src":"v00"},{"dst":"v03","relation":"refutes","src":"v04"},{"dst":"v02","relation":"supports","src":"v04"},{"dst":"v06","relation":"refutes","src":"v05"},{"dst":"v04","relation":"refutes","src":"v06"},{"dst":"v01","relation":"supports","src":"v06"}],"hop":4,"root":"v00","ro...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-44d94aab6139082f766b
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v03 --supports--> v01\n- v01 --sup...
78d36d9e01dfb316b76cc158db903749a63cc314ad76797c1abd8432c702d1f4
livegraph.boolean-propagation.v1
44d94aab6139082f766b95e113820879625333eaeffb7887436f2dc580bb1281
{"edges":[{"dst":"v02","relation":"supports","src":"v01"},{"dst":"v05","relation":"supports","src":"v02"},{"dst":"v01","relation":"supports","src":"v03"},{"dst":"v04","relation":"supports","src":"v03"},{"dst":"v03","relation":"refutes","src":"v06"},{"dst":"v00","relation":"supports","src":"v06"}],"hop":4,"root":"v06","...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-df584826a2595cab563c
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v01 --refutes--> v00\n- v01 --supp...
95f28a4ae44003111e27e89652c313fcfca6f0cdbde0bba3ade2ca7466aa2042
livegraph.boolean-propagation.v1
df584826a2595cab563cb01a6b58f9869a2f2975aa4dcb223824a95430c3da83
{"edges":[{"dst":"v00","relation":"refutes","src":"v01"},{"dst":"v05","relation":"refutes","src":"v01"},{"dst":"v03","relation":"supports","src":"v01"},{"dst":"v01","relation":"supports","src":"v02"},{"dst":"v06","relation":"refutes","src":"v03"},{"dst":"v02","relation":"refutes","src":"v04"}],"hop":4,"root":"v04","roo...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-fd9b0bf9b3a1dd8c9385
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v05 --refutes--> v00\n- v00 --refu...
67cce788685bb31140566428edc40a1b23bcc86597300d5a73ab54ff86ca7dd1
livegraph.boolean-propagation.v1
fd9b0bf9b3a1dd8c938518eabe53b2f353aa07f48979a1028b2c94ce12ca8f15
{"edges":[{"dst":"v04","relation":"refutes","src":"v00"},{"dst":"v01","relation":"supports","src":"v00"},{"dst":"v02","relation":"refutes","src":"v03"},{"dst":"v05","relation":"supports","src":"v03"},{"dst":"v00","relation":"refutes","src":"v05"},{"dst":"v03","relation":"refutes","src":"v06"}],"hop":4,"root":"v06","roo...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-2ae94efaef369924f48d
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v02 --supports--> v00\n- v05 --ref...
189a06e6f2b3864bf293247f4f32c37699e97acafea2a57d966a5da7d868f37b
livegraph.boolean-propagation.v1
2ae94efaef369924f48d6b3572e5016894564ca1886bb82b4e1d618ed461183f
{"edges":[{"dst":"v01","relation":"refutes","src":"v00"},{"dst":"v05","relation":"supports","src":"v00"},{"dst":"v00","relation":"supports","src":"v02"},{"dst":"v06","relation":"supports","src":"v02"},{"dst":"v02","relation":"supports","src":"v04"},{"dst":"v03","relation":"refutes","src":"v05"}],"hop":4,"root":"v04","r...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-47ddc94b408677072d42
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v06 --refutes--> v01\n- v02 --refu...
0094e7fac118328e43f650e7f315db137f8db8ae35aa71235989f20fcd64d85a
livegraph.boolean-propagation.v1
47ddc94b408677072d4223ff8238a59097de5f13fed9a1dab1e682a3fddf0ed4
{"edges":[{"dst":"v00","relation":"refutes","src":"v02"},{"dst":"v03","relation":"supports","src":"v02"},{"dst":"v02","relation":"supports","src":"v04"},{"dst":"v04","relation":"refutes","src":"v05"},{"dst":"v01","relation":"refutes","src":"v06"},{"dst":"v05","relation":"supports","src":"v06"}],"hop":4,"root":"v06","ro...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-aac7ac03def4cc282b7b
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v04 --supports--> v06\n- v01 --sup...
fb444c8083a8b71441d3b0a927c95fe9c55972912d9d0e92481d5d00c2eeba2a
livegraph.boolean-propagation.v1
aac7ac03def4cc282b7bc0c5b8367ccc8aabf7a5ef77ce162dbfaad596f906e3
{"edges":[{"dst":"v03","relation":"refutes","src":"v01"},{"dst":"v00","relation":"supports","src":"v01"},{"dst":"v05","relation":"supports","src":"v01"},{"dst":"v04","relation":"refutes","src":"v02"},{"dst":"v06","relation":"supports","src":"v04"},{"dst":"v01","relation":"refutes","src":"v06"}],"hop":4,"root":"v02","ro...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-85ca39ddaadf7cfb73f9
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v04 --refutes--> v02\n- v05 --refu...
d67f0f8171691115fbf9e5f3e03bf0cd11c328aa5df26c998e0595dce4c53461
livegraph.boolean-propagation.v1
85ca39ddaadf7cfb73f9de084cfd2a5891d0ef5eae8d38fa24f5a41e598a8b5f
{"edges":[{"dst":"v05","relation":"supports","src":"v02"},{"dst":"v04","relation":"refutes","src":"v03"},{"dst":"v02","relation":"refutes","src":"v04"},{"dst":"v01","relation":"refutes","src":"v05"},{"dst":"v06","relation":"refutes","src":"v05"},{"dst":"v00","relation":"supports","src":"v05"}],"hop":4,"root":"v03","roo...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-06e7117a6059ed4c71dc
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v01 --supports--> v06\n- v00 --ref...
59b4040a1d364d6e87bfb4261e1e961de8551c4cd9406abc590a4170b62264c3
livegraph.boolean-propagation.v1
06e7117a6059ed4c71dc1424237de7eba059c74df86784124360764f892f7e97
{"edges":[{"dst":"v05","relation":"refutes","src":"v00"},{"dst":"v00","relation":"refutes","src":"v01"},{"dst":"v06","relation":"supports","src":"v01"},{"dst":"v04","relation":"supports","src":"v03"},{"dst":"v01","relation":"refutes","src":"v04"},{"dst":"v02","relation":"refutes","src":"v04"}],"hop":4,"root":"v03","roo...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-9ffbe857fea84e29daac
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v04 --refutes--> v06\n- v04 --supp...
fac112461c9b3287d06a94dde07b248c11b1aae2de1a1a66ddc7ec2d9eae9a7d
livegraph.boolean-propagation.v1
9ffbe857fea84e29daac8778ec028b136f9032541f9e15f8727172909411066d
{"edges":[{"dst":"v03","relation":"supports","src":"v01"},{"dst":"v00","relation":"refutes","src":"v03"},{"dst":"v04","relation":"supports","src":"v03"},{"dst":"v06","relation":"refutes","src":"v04"},{"dst":"v05","relation":"supports","src":"v04"},{"dst":"v02","relation":"refutes","src":"v05"}],"hop":4,"root":"v01","ro...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-b4cb30d0931e182afb86
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v00 --supports--> v03\n- v01 --ref...
6cbb6bffefe1bed00d7260b40c71de4b4d1f5ab0592aceaf0f169b5281e3cef4
livegraph.boolean-propagation.v1
b4cb30d0931e182afb866720140b633f8ef575589257b65c613192ba19792fd5
{"edges":[{"dst":"v02","relation":"refutes","src":"v00"},{"dst":"v03","relation":"supports","src":"v00"},{"dst":"v00","relation":"refutes","src":"v01"},{"dst":"v05","relation":"supports","src":"v04"},{"dst":"v01","relation":"refutes","src":"v05"},{"dst":"v06","relation":"supports","src":"v05"}],"hop":4,"root":"v04","ro...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-41bcd9b3dca92e4a519d
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v05 --supports--> v04\n- v04 --ref...
bac85a1b418982d3b56111cf327354b72dee84763eff4f5727ef692a7482f822
livegraph.boolean-propagation.v1
41bcd9b3dca92e4a519d443b051d051539ec2786744b6c7d0f68d41f082cb1e4
{"edges":[{"dst":"v01","relation":"supports","src":"v00"},{"dst":"v03","relation":"refutes","src":"v01"},{"dst":"v05","relation":"supports","src":"v01"},{"dst":"v02","relation":"refutes","src":"v04"},{"dst":"v06","relation":"supports","src":"v04"},{"dst":"v04","relation":"supports","src":"v05"}],"hop":4,"root":"v00","r...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-7ba0a38b99417942c9f2
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v00 --supports--> v02\n- v01 --sup...
6dd950d055bef7d6ac3fc0dd15cd5ec4140c7aa8200cb1e1d5220e69510f38bf
livegraph.boolean-propagation.v1
7ba0a38b99417942c9f2490cc726fcbe82d334cc8527a08031bbcf48cc1cda25
{"edges":[{"dst":"v02","relation":"supports","src":"v00"},{"dst":"v05","relation":"refutes","src":"v01"},{"dst":"v03","relation":"supports","src":"v01"},{"dst":"v04","relation":"refutes","src":"v02"},{"dst":"v06","relation":"refutes","src":"v02"},{"dst":"v00","relation":"supports","src":"v03"}],"hop":4,"root":"v01","ro...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-d53d6476c1f74d2fb624
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v04 --refutes--> v01\n- v02 --supp...
eeaf8d61ff99c62106b8bb4e183fe97d8d50b4cacda23ae6945aeb63c43faa4b
livegraph.boolean-propagation.v1
d53d6476c1f74d2fb624c39eea9a5c3f391b252d49eabbd76a5362687eca4072
{"edges":[{"dst":"v02","relation":"supports","src":"v00"},{"dst":"v05","relation":"refutes","src":"v02"},{"dst":"v04","relation":"supports","src":"v02"},{"dst":"v06","relation":"refutes","src":"v03"},{"dst":"v01","relation":"refutes","src":"v04"},{"dst":"v03","relation":"supports","src":"v04"}],"hop":4,"root":"v00","ro...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-d074545a0462b0b94f79
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v02 --refutes--> v03\n- v05 --refu...
013f261cebb3a54cd9ed0f13f17f499f22ba5d6bcc176f311a4d88ce83bb897b
livegraph.boolean-propagation.v1
d074545a0462b0b94f7936e8f9b3b055da031fcf21e5f4b229be7b9f56cdf2fe
{"edges":[{"dst":"v05","relation":"supports","src":"v01"},{"dst":"v03","relation":"refutes","src":"v02"},{"dst":"v04","relation":"refutes","src":"v02"},{"dst":"v00","relation":"supports","src":"v02"},{"dst":"v01","relation":"refutes","src":"v04"},{"dst":"v06","relation":"refutes","src":"v05"}],"hop":4,"root":"v02","roo...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-92b2a7778e1d20f49d55
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v00 --refutes--> v04\n- v02 --refu...
396a77080dfd9fe1ef127891e2ee10cac3068c58b0f0f8e8b283aa14ca6cf314
livegraph.boolean-propagation.v1
92b2a7778e1d20f49d55fa3c693d9b5f1c61095276f986d59fcfdcc6f8e1f1dd
{"edges":[{"dst":"v02","relation":"refutes","src":"v00"},{"dst":"v04","relation":"refutes","src":"v00"},{"dst":"v01","relation":"refutes","src":"v02"},{"dst":"v06","relation":"refutes","src":"v05"},{"dst":"v00","relation":"refutes","src":"v06"},{"dst":"v03","relation":"supports","src":"v06"}],"hop":4,"root":"v05","root...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-8aa2f9f40386a11ca516
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v06 --supports--> v03\n- v01 --ref...
517668b563b77c03922d63bef56e92167030aa860e24551d94059f935e509216
livegraph.boolean-propagation.v1
8aa2f9f40386a11ca5163a5ca6034eb10904c0ce1fe81cbbd5c7d8105f0039b4
{"edges":[{"dst":"v04","relation":"refutes","src":"v01"},{"dst":"v02","relation":"supports","src":"v01"},{"dst":"v06","relation":"refutes","src":"v04"},{"dst":"v01","relation":"refutes","src":"v05"},{"dst":"v00","relation":"refutes","src":"v06"},{"dst":"v03","relation":"supports","src":"v06"}],"hop":4,"root":"v05","roo...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-889a8865f97d8edb20d8
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v03 --supports--> v00\n- v01 --sup...
d2b953768116e74e7f61da629a93e056343e641b0fceb65896b2523df7a2a2fa
livegraph.boolean-propagation.v1
889a8865f97d8edb20d8958f1486a9aa419c3f13fcd13f68501fd31a96b15e8c
{"edges":[{"dst":"v06","relation":"refutes","src":"v00"},{"dst":"v04","relation":"supports","src":"v00"},{"dst":"v03","relation":"supports","src":"v01"},{"dst":"v00","relation":"supports","src":"v03"},{"dst":"v02","relation":"supports","src":"v03"},{"dst":"v01","relation":"supports","src":"v05"}],"hop":4,"root":"v05","...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-451f82baad6386186461
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v04 --supports--> v06\n- v03 --ref...
8ea015a21b307d3fba63827d4d201d2428b2800688c0e0e416f627b9ef5d86f9
livegraph.boolean-propagation.v1
451f82baad638618646143421f9968ce2b96f2f6c7ae56f3b7fa40ff50bfa74b
{"edges":[{"dst":"v01","relation":"refutes","src":"v03"},{"dst":"v04","relation":"refutes","src":"v03"},{"dst":"v00","relation":"supports","src":"v03"},{"dst":"v06","relation":"supports","src":"v04"},{"dst":"v02","relation":"supports","src":"v05"},{"dst":"v05","relation":"refutes","src":"v06"}],"hop":4,"root":"v03","ro...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-3d51155d8ad138d891ff
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v06 --supports--> v00\n- v04 --sup...
bf5b8ddcd71de1703679ce3aa183aea42713b3fb93672c49b94e96cf3e7e92a6
livegraph.boolean-propagation.v1
3d51155d8ad138d891ff919f5f63562edc54c161976d81722d6f41509a5815e4
{"edges":[{"dst":"v04","relation":"refutes","src":"v01"},{"dst":"v03","relation":"refutes","src":"v04"},{"dst":"v02","relation":"supports","src":"v04"},{"dst":"v06","relation":"refutes","src":"v05"},{"dst":"v01","relation":"refutes","src":"v06"},{"dst":"v00","relation":"supports","src":"v06"}],"hop":4,"root":"v05","roo...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-2e08cc4e9f4ec7c033b4
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v05 --refutes--> v03\n- v05 --refu...
3efe171fef1ff672041ffce7e447da10b8c5db009bd490014c51aebaffcf3266
livegraph.boolean-propagation.v1
2e08cc4e9f4ec7c033b40bbc27e190d49ad6c7315b3501f7c2c58a3b23133182
{"edges":[{"dst":"v01","relation":"refutes","src":"v00"},{"dst":"v06","relation":"refutes","src":"v02"},{"dst":"v00","relation":"refutes","src":"v05"},{"dst":"v03","relation":"refutes","src":"v05"},{"dst":"v04","relation":"refutes","src":"v05"},{"dst":"v05","relation":"refutes","src":"v06"}],"hop":4,"root":"v02","root_...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-3552b84f589e3741402b
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v03 --refutes--> v02\n- v02 --refu...
5a2a56e072b2384353b207492c35468e99c1b01415ed387f4b175ce88004ceb5
livegraph.boolean-propagation.v1
3552b84f589e3741402b04a17e298a2487a3a92340ca51d8de803dce00e134d4
{"edges":[{"dst":"v01","relation":"refutes","src":"v00"},{"dst":"v03","relation":"refutes","src":"v00"},{"dst":"v06","relation":"refutes","src":"v02"},{"dst":"v02","relation":"refutes","src":"v03"},{"dst":"v04","relation":"supports","src":"v03"},{"dst":"v00","relation":"refutes","src":"v05"}],"hop":4,"root":"v05","root...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-e96e26b95385572f65d6
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v00 --refutes--> v02\n- v00 --refu...
337018660601a5125420cc2047dd661dc3ee956e28cc2f231cb65238f1b857c3
livegraph.boolean-propagation.v1
e96e26b95385572f65d6318d234edf3e92d5a93cd5aa06e4333dc721e8d4bc48
{"edges":[{"dst":"v02","relation":"refutes","src":"v00"},{"dst":"v03","relation":"refutes","src":"v00"},{"dst":"v04","relation":"refutes","src":"v01"},{"dst":"v05","relation":"refutes","src":"v02"},{"dst":"v06","relation":"refutes","src":"v02"},{"dst":"v01","relation":"refutes","src":"v05"}],"hop":4,"root":"v00","root_...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-2781f7b1a3edbbd8f5c8
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v01 --supports--> v04\n- v02 --ref...
cbb17c33533e0ee4e0bbfac07faaea10ef4d319d4a3b2c94455c5899af5820db
livegraph.boolean-propagation.v1
2781f7b1a3edbbd8f5c8764d30a1fe42d33fa7d26c240e194a0a9ae1a65e1227
{"edges":[{"dst":"v03","relation":"supports","src":"v00"},{"dst":"v05","relation":"refutes","src":"v01"},{"dst":"v04","relation":"supports","src":"v01"},{"dst":"v01","relation":"refutes","src":"v02"},{"dst":"v06","relation":"refutes","src":"v02"},{"dst":"v00","relation":"supports","src":"v05"}],"hop":4,"root":"v02","ro...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-4cd6dfa1d0bd49584643
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v03 --supports--> v05\n- v01 --sup...
7512673ffbeddee8c0514ee79321444c13ec99b34f03c945c6cff462211b7cb8
livegraph.boolean-propagation.v1
4cd6dfa1d0bd49584643ac5b859591c31cb0b73530e777c0f400483b02063614
{"edges":[{"dst":"v04","relation":"supports","src":"v01"},{"dst":"v02","relation":"refutes","src":"v03"},{"dst":"v05","relation":"supports","src":"v03"},{"dst":"v00","relation":"refutes","src":"v04"},{"dst":"v03","relation":"supports","src":"v04"},{"dst":"v01","relation":"supports","src":"v06"}],"hop":4,"root":"v06","r...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-84b0a6495d4bd3f7c121
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v03 --refutes--> v04\n- v00 --refu...
f0dc3d44d66204540d08f87463a73e925c8a129e2a15a6849d72a9ecfb1f6544
livegraph.boolean-propagation.v1
84b0a6495d4bd3f7c121974f6e7881f463dcac6ad07c54582112a8edba6a40ca
{"edges":[{"dst":"v02","relation":"refutes","src":"v00"},{"dst":"v05","relation":"refutes","src":"v00"},{"dst":"v01","relation":"supports","src":"v00"},{"dst":"v06","relation":"refutes","src":"v01"},{"dst":"v04","relation":"refutes","src":"v03"},{"dst":"v00","relation":"refutes","src":"v04"}],"hop":4,"root":"v03","root...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-96528a3fff1d72267efc
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v03 --supports--> v02\n- v04 --ref...
207edd776c0f2f11ac05a5c82374f834667da4eb88adbdb1bf30340b448b1bc2
livegraph.boolean-propagation.v1
96528a3fff1d72267efce76c5dfb4f28aa7ef693c32b8e1f88a086b632c7baa6
{"edges":[{"dst":"v03","relation":"supports","src":"v00"},{"dst":"v02","relation":"supports","src":"v03"},{"dst":"v06","relation":"supports","src":"v03"},{"dst":"v01","relation":"refutes","src":"v04"},{"dst":"v00","relation":"supports","src":"v04"},{"dst":"v05","relation":"refutes","src":"v06"}],"hop":4,"root":"v04","r...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-3f69634874cc347793c7
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v06 --refutes--> v00\n- v06 --refu...
1bc874654d566531d2d3e71c1c3cd2b38c9723c59128c75df29affac31e746be
livegraph.boolean-propagation.v1
3f69634874cc347793c7db1533d60a29b3e49f8892a6795c5955fbe8f2dac5eb
{"edges":[{"dst":"v06","relation":"refutes","src":"v01"},{"dst":"v03","relation":"refutes","src":"v02"},{"dst":"v01","relation":"supports","src":"v04"},{"dst":"v00","relation":"refutes","src":"v06"},{"dst":"v02","relation":"refutes","src":"v06"},{"dst":"v05","relation":"refutes","src":"v06"}],"hop":4,"root":"v04","root...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-c5e5e74e2a37fc7c1c04
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v01 --refutes--> v05\n- v01 --supp...
d4dee6a2f2634e91b7c0f8275a879953f13e87b0d88926948577ac507c66f906
livegraph.boolean-propagation.v1
c5e5e74e2a37fc7c1c04b1de8b6cd1058d5513d8136ae46c5dc350351f746aa1
{"edges":[{"dst":"v02","relation":"refutes","src":"v00"},{"dst":"v05","relation":"refutes","src":"v01"},{"dst":"v04","relation":"supports","src":"v01"},{"dst":"v06","relation":"supports","src":"v01"},{"dst":"v00","relation":"supports","src":"v03"},{"dst":"v03","relation":"refutes","src":"v04"}],"hop":4,"root":"v01","ro...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-1ecc608a0c67879c6485
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v02 --refutes--> v06\n- v05 --refu...
2ad97d2cb3f43e81a7b6d0c2c51aa8ba43126415b97b44b5df7a98b9637f4293
livegraph.boolean-propagation.v1
1ecc608a0c67879c64859ac2d49266c211a7454be5dafeec06910ea2015a689e
{"edges":[{"dst":"v05","relation":"supports","src":"v01"},{"dst":"v04","relation":"refutes","src":"v02"},{"dst":"v06","relation":"refutes","src":"v02"},{"dst":"v03","relation":"refutes","src":"v05"},{"dst":"v00","relation":"supports","src":"v05"},{"dst":"v01","relation":"refutes","src":"v06"}],"hop":4,"root":"v02","roo...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-06797bde61467bfda541
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v01 --supports--> v02\n- v03 --sup...
edc0a47607ca5cc77616a959f530a2955d88698a54b4864451386ca0640b32db
livegraph.boolean-propagation.v1
06797bde61467bfda541aac47258ebc08555c97d654502b10e89a16701f2cc08
{"edges":[{"dst":"v01","relation":"refutes","src":"v00"},{"dst":"v03","relation":"refutes","src":"v01"},{"dst":"v04","relation":"refutes","src":"v01"},{"dst":"v02","relation":"supports","src":"v01"},{"dst":"v06","relation":"supports","src":"v03"},{"dst":"v00","relation":"supports","src":"v05"}],"hop":4,"root":"v05","ro...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-aa55ff744ee105009bd2
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v06 --refutes--> v04\n- v06 --supp...
39bef55b6ddcf5c06444cbcc1ca17b77be19f768362c845f4b956410d17b7104
livegraph.boolean-propagation.v1
aa55ff744ee105009bd26d7cff0e276dbcd5806ac7b00d50ee11f8fdd4430f99
{"edges":[{"dst":"v05","relation":"supports","src":"v02"},{"dst":"v06","relation":"supports","src":"v03"},{"dst":"v00","relation":"refutes","src":"v04"},{"dst":"v02","relation":"refutes","src":"v04"},{"dst":"v04","relation":"refutes","src":"v06"},{"dst":"v01","relation":"supports","src":"v06"}],"hop":4,"root":"v03","ro...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-dc00835b562101bb8388
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v04 --refutes--> v06\n- v03 --supp...
80d79167032de274915c41ded698dbac2202b8a90143a0b9318564bf31b48ec4
livegraph.boolean-propagation.v1
dc00835b562101bb838802a33190688fe76ec6fcf1bdbd07b095c436f88ce31c
{"edges":[{"dst":"v00","relation":"refutes","src":"v01"},{"dst":"v04","relation":"refutes","src":"v03"},{"dst":"v02","relation":"supports","src":"v03"},{"dst":"v05","relation":"refutes","src":"v04"},{"dst":"v06","relation":"refutes","src":"v04"},{"dst":"v01","relation":"supports","src":"v06"}],"hop":4,"root":"v03","roo...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-7655845f42819feedce9
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v05 --supports--> v00\n- v03 --sup...
af7bf90f5e2877b2b91d23289fae68a5dcf4a1bb3962e29d6ac91ebb839abd11
livegraph.boolean-propagation.v1
7655845f42819feedce9effc8da3ac55ef1c5a7d8918aa196f2e80acbd757506
{"edges":[{"dst":"v03","relation":"refutes","src":"v01"},{"dst":"v01","relation":"refutes","src":"v02"},{"dst":"v05","relation":"refutes","src":"v03"},{"dst":"v06","relation":"refutes","src":"v03"},{"dst":"v04","relation":"supports","src":"v03"},{"dst":"v00","relation":"supports","src":"v05"}],"hop":4,"root":"v02","roo...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-d1d564976e8087507f2b
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v06 --supports--> v02\n- v00 --sup...
001f8720214edeed83fa14b7e50a94060699b5d0d7dc933fe744c1b40d755551
livegraph.boolean-propagation.v1
d1d564976e8087507f2bbb318428cfea6d57b60ce30f448850d5b2d30cc29c32
{"edges":[{"dst":"v06","relation":"supports","src":"v00"},{"dst":"v05","relation":"refutes","src":"v04"},{"dst":"v01","relation":"supports","src":"v05"},{"dst":"v03","relation":"supports","src":"v05"},{"dst":"v04","relation":"refutes","src":"v06"},{"dst":"v02","relation":"supports","src":"v06"}],"hop":4,"root":"v00","r...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-e4a13ca98f4aee719efd
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v04 --refutes--> v05\n- v00 --supp...
55860e413ed66f8dbd278e5a93ab52d18cef5a3ff4f4dbd030e66232c84bd023
livegraph.boolean-propagation.v1
e4a13ca98f4aee719efd3ee185b6863bd9047a2bf7d00ec30e8b1b310530921a
{"edges":[{"dst":"v02","relation":"supports","src":"v00"},{"dst":"v04","relation":"supports","src":"v02"},{"dst":"v06","relation":"supports","src":"v02"},{"dst":"v05","relation":"refutes","src":"v04"},{"dst":"v01","relation":"supports","src":"v05"},{"dst":"v03","relation":"supports","src":"v05"}],"hop":4,"root":"v00","...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-dc765f9e133925f5b725
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v01 --refutes--> v00\n- v00 --refu...
4cfb56fb700af60718f28fa60446094efca5a1bddb224eaff382ff58820a4740
livegraph.boolean-propagation.v1
dc765f9e133925f5b725b6103c1d888b1fc4144d4d7849cc40e10025c57b6724
{"edges":[{"dst":"v02","relation":"refutes","src":"v00"},{"dst":"v00","relation":"refutes","src":"v01"},{"dst":"v04","relation":"supports","src":"v01"},{"dst":"v01","relation":"refutes","src":"v05"},{"dst":"v03","relation":"supports","src":"v05"},{"dst":"v05","relation":"supports","src":"v06"}],"hop":4,"root":"v06","ro...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-d31215089257e5aaadf8
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v06 --refutes--> v04\n- v04 --refu...
cb48e97c7bfd8a31d7a1fbdd800635e47d31a9268d93c2b51915c1be7ee083a1
livegraph.boolean-propagation.v1
d31215089257e5aaadf8aa8a83e58b56838ce707c23e706c1eb99146c797643d
{"edges":[{"dst":"v05","relation":"supports","src":"v03"},{"dst":"v03","relation":"refutes","src":"v04"},{"dst":"v00","relation":"supports","src":"v04"},{"dst":"v01","relation":"supports","src":"v05"},{"dst":"v02","relation":"refutes","src":"v06"},{"dst":"v04","relation":"refutes","src":"v06"}],"hop":4,"root":"v06","ro...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-885f0f2e38ca79b5159f
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v01 --refutes--> v00\n- v03 --refu...
9ed30701edf3304fc774e0fdf7d1117604d05b34e4b8e12fc9d6a7f5f4d11113
livegraph.boolean-propagation.v1
885f0f2e38ca79b5159f55a271ad9b3926392b7eb43dd7341d897ef2a94b59bb
{"edges":[{"dst":"v02","relation":"supports","src":"v00"},{"dst":"v00","relation":"refutes","src":"v01"},{"dst":"v06","relation":"supports","src":"v02"},{"dst":"v04","relation":"refutes","src":"v03"},{"dst":"v05","relation":"refutes","src":"v03"},{"dst":"v01","relation":"supports","src":"v03"}],"hop":4,"root":"v03","ro...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-cc5f2931da9083ef1848
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v03 --supports--> v00\n- v03 --sup...
656575bbe902201140edffe3d8129bd6ce0e436c7ae7b735a742292ba80cfb79
livegraph.boolean-propagation.v1
cc5f2931da9083ef1848ab76aa651b3a40423ea5bf1815c3a7e408fd193cc2c6
{"edges":[{"dst":"v04","relation":"refutes","src":"v00"},{"dst":"v00","relation":"supports","src":"v03"},{"dst":"v02","relation":"supports","src":"v03"},{"dst":"v05","relation":"supports","src":"v03"},{"dst":"v06","relation":"refutes","src":"v04"},{"dst":"v01","relation":"refutes","src":"v06"}],"hop":4,"root":"v03","ro...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-59ffa4a28e0c4d97e18c
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v05 --supports--> v02\n- v00 --sup...
2217872b13198fecb447218a164a7b07d0ee4109be37570ab6ed3bb91f10179f
livegraph.boolean-propagation.v1
59ffa4a28e0c4d97e18c03407f9d70513f771f7b7c382998a957d6fbfcaad282
{"edges":[{"dst":"v04","relation":"supports","src":"v00"},{"dst":"v06","relation":"supports","src":"v00"},{"dst":"v03","relation":"refutes","src":"v01"},{"dst":"v01","relation":"refutes","src":"v04"},{"dst":"v00","relation":"refutes","src":"v05"},{"dst":"v02","relation":"supports","src":"v05"}],"hop":4,"root":"v05","ro...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-f1f33ed7e8821088f4a3
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v02 --supports--> v06\n- v00 --ref...
3ccb8f7b7f759a200472d50dfa1a9e0e77ab7aed02319443782235635a6c78f1
livegraph.boolean-propagation.v1
f1f33ed7e8821088f4a3949aefa74e725c3af767dc04c8f8f05314fff4e1ff45
{"edges":[{"dst":"v02","relation":"refutes","src":"v00"},{"dst":"v05","relation":"supports","src":"v00"},{"dst":"v04","relation":"supports","src":"v02"},{"dst":"v06","relation":"supports","src":"v02"},{"dst":"v00","relation":"supports","src":"v03"},{"dst":"v01","relation":"supports","src":"v06"}],"hop":4,"root":"v03","...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-226b9cd0d97841d28ad5
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v04 --supports--> v05\n- v02 --sup...
e2474fe4108d47598a8524f6c60ae0df1ae5f9da1517ca8990b099fca2fb5315
livegraph.boolean-propagation.v1
226b9cd0d97841d28ad522f0c0331454a2540d2f9de459208f0bf42cf05a9c1e
{"edges":[{"dst":"v04","relation":"supports","src":"v02"},{"dst":"v00","relation":"supports","src":"v04"},{"dst":"v05","relation":"supports","src":"v04"},{"dst":"v06","relation":"refutes","src":"v05"},{"dst":"v01","relation":"supports","src":"v05"},{"dst":"v03","relation":"supports","src":"v06"}],"hop":4,"root":"v02","...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-7b5c1398a4b5e9829b81
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v06 --refutes--> v04\n- v05 --supp...
3a66c896eb4e1b0965a998998d925f0b8bd121b9e187e7780dda044fa11e9eba
livegraph.boolean-propagation.v1
7b5c1398a4b5e9829b81510fcad3e9d7575eb59b04c312e62ddebdbddfb78620
{"edges":[{"dst":"v05","relation":"supports","src":"v01"},{"dst":"v06","relation":"refutes","src":"v02"},{"dst":"v00","relation":"supports","src":"v05"},{"dst":"v02","relation":"supports","src":"v05"},{"dst":"v04","relation":"refutes","src":"v06"},{"dst":"v03","relation":"supports","src":"v06"}],"hop":4,"root":"v01","r...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-1f2d3633977e64170be0
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v04 --refutes--> v03\n- v05 --supp...
10d48ce174c8aac045c0fc3433e1fa6733386428f18bba0065d01caf64fcf476
livegraph.boolean-propagation.v1
1f2d3633977e64170be0024b444343e70d6e280761b7913a7e385422ae03899e
{"edges":[{"dst":"v04","relation":"refutes","src":"v02"},{"dst":"v05","relation":"refutes","src":"v03"},{"dst":"v03","relation":"refutes","src":"v04"},{"dst":"v01","relation":"supports","src":"v04"},{"dst":"v00","relation":"supports","src":"v05"},{"dst":"v06","relation":"supports","src":"v05"}],"hop":4,"root":"v02","ro...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-5c526708a443847aa1b1
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v00 --refutes--> v01\n- v00 --supp...
6c182e2ff84026f07adbfe67ee62047f5773ed724046a2d1d9ac57f000cfd5b1
livegraph.boolean-propagation.v1
5c526708a443847aa1b1baaaecfd40566e4212a7c328f6c0bdbc1f4390d6c0b0
{"edges":[{"dst":"v01","relation":"refutes","src":"v00"},{"dst":"v05","relation":"supports","src":"v00"},{"dst":"v06","relation":"refutes","src":"v02"},{"dst":"v04","relation":"supports","src":"v02"},{"dst":"v02","relation":"supports","src":"v03"},{"dst":"v03","relation":"supports","src":"v05"}],"hop":4,"root":"v00","r...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-885c44cbb234da8e3ad9
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v03 --refutes--> v01\n- v00 --supp...
ed6cdc94e4a2cdda6fd0c4bb1540760b8ff5c8395323abe8c7f9ab0f7b976ca6
livegraph.boolean-propagation.v1
885c44cbb234da8e3ad9d2443840abe1505833cb78ef0e90b8f71a518499fb46
{"edges":[{"dst":"v02","relation":"supports","src":"v00"},{"dst":"v03","relation":"supports","src":"v02"},{"dst":"v06","relation":"supports","src":"v02"},{"dst":"v01","relation":"refutes","src":"v03"},{"dst":"v04","relation":"supports","src":"v03"},{"dst":"v05","relation":"supports","src":"v04"}],"hop":4,"root":"v00","...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-b90cddcf32d1fc341f1e
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v05 --supports--> v04\n- v01 --ref...
32e9bd6387599194e95abce9635327cdebf7e2dcfb15131033f00461f0ff7e89
livegraph.boolean-propagation.v1
b90cddcf32d1fc341f1e3eac4844f82c2adad30e8d713afdc786109598eb24c0
{"edges":[{"dst":"v05","relation":"refutes","src":"v00"},{"dst":"v00","relation":"refutes","src":"v01"},{"dst":"v03","relation":"refutes","src":"v04"},{"dst":"v06","relation":"refutes","src":"v04"},{"dst":"v02","relation":"supports","src":"v05"},{"dst":"v04","relation":"supports","src":"v05"}],"hop":4,"root":"v01","roo...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-674bbeac3b882ba2c773
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v01 --refutes--> v00\n- v04 --refu...
d2331866bcb813f1361600c878dab2b148e706bce87557e5cd2e604ad0c555c6
livegraph.boolean-propagation.v1
674bbeac3b882ba2c773c5999b848f52974f8ff6ebb9b2a2a85661581ccfc390
{"edges":[{"dst":"v00","relation":"refutes","src":"v01"},{"dst":"v04","relation":"supports","src":"v01"},{"dst":"v03","relation":"refutes","src":"v02"},{"dst":"v05","relation":"refutes","src":"v02"},{"dst":"v02","relation":"refutes","src":"v04"},{"dst":"v01","relation":"refutes","src":"v06"}],"hop":4,"root":"v06","root...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-51d41c06001945805693
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v04 --supports--> v00\n- v04 --sup...
36ed603febb99ce6ea7348b07e71f727553f027a00f671f1f1ff42e75678fcfc
livegraph.boolean-propagation.v1
51d41c06001945805693d818627aa085d9abf858689803c2227889cf19d63b5c
{"edges":[{"dst":"v05","relation":"refutes","src":"v02"},{"dst":"v03","relation":"refutes","src":"v04"},{"dst":"v00","relation":"supports","src":"v04"},{"dst":"v01","relation":"supports","src":"v04"},{"dst":"v06","relation":"refutes","src":"v05"},{"dst":"v04","relation":"supports","src":"v06"}],"hop":4,"root":"v02","ro...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-a2f484c8a06d538febeb
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v05 --refutes--> v00\n- v01 --refu...
4ffc69097aadeea38d9265b49e3b3de03597c2dbaa82cb642e7c352fa745c0b2
livegraph.boolean-propagation.v1
a2f484c8a06d538febeb847aa7eba7530f8ccc3ee65034333b2b40df1b9903f0
{"edges":[{"dst":"v02","relation":"refutes","src":"v01"},{"dst":"v06","relation":"refutes","src":"v02"},{"dst":"v03","relation":"supports","src":"v02"},{"dst":"v05","relation":"supports","src":"v03"},{"dst":"v00","relation":"refutes","src":"v05"},{"dst":"v04","relation":"supports","src":"v05"}],"hop":4,"root":"v01","ro...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-a0a117c9b26e572aeab5
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v03 --supports--> v05\n- v02 --ref...
90e888376b0171982893eb4e6bf003d8cf6aa016f8c3caf7bbc9da74e6451dc3
livegraph.boolean-propagation.v1
a0a117c9b26e572aeab5e8f89789293a2f52a73251d081d5449e6cb7eae6d970
{"edges":[{"dst":"v03","relation":"refutes","src":"v01"},{"dst":"v01","relation":"refutes","src":"v02"},{"dst":"v00","relation":"supports","src":"v03"},{"dst":"v05","relation":"supports","src":"v03"},{"dst":"v04","relation":"refutes","src":"v06"},{"dst":"v02","relation":"supports","src":"v06"}],"hop":4,"root":"v06","ro...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-c8dbd70066e456d0b543
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v04 --supports--> v01\n- v01 --ref...
463f835234782a42c8d13554d8bdfd41fadd54ff71195caec8f6f5821baebdf5
livegraph.boolean-propagation.v1
c8dbd70066e456d0b543837030127d7834d2742c396d486b828b1a64af835cfb
{"edges":[{"dst":"v03","relation":"supports","src":"v00"},{"dst":"v02","relation":"refutes","src":"v01"},{"dst":"v00","relation":"refutes","src":"v02"},{"dst":"v05","relation":"supports","src":"v02"},{"dst":"v01","relation":"supports","src":"v04"},{"dst":"v06","relation":"supports","src":"v04"}],"hop":4,"root":"v04","r...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-fdc149bb89bd980d76dd
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v05 --refutes--> v04\n- v01 --refu...
c2816034c61b15232ddf8b5b49fc0f8ba86a357ecb5c9616e94ea8479c0c9b5d
livegraph.boolean-propagation.v1
fdc149bb89bd980d76dd72c63b0b7c891b4b1e108e3dfea1e9e5c71c639a84ae
{"edges":[{"dst":"v02","relation":"refutes","src":"v00"},{"dst":"v00","relation":"refutes","src":"v01"},{"dst":"v01","relation":"supports","src":"v03"},{"dst":"v03","relation":"refutes","src":"v05"},{"dst":"v04","relation":"refutes","src":"v05"},{"dst":"v06","relation":"refutes","src":"v05"}],"hop":4,"root":"v05","root...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-25db01f5c473d0fd19e0
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v01 --refutes--> v04\n- v02 --supp...
626e4269888acb14a66afa7ee68bdfb6926cb249975e70da48775e48e850d329
livegraph.boolean-propagation.v1
25db01f5c473d0fd19e0ac51780b5d1e0411132e55e738f5dfe19c93c6218e83
{"edges":[{"dst":"v04","relation":"refutes","src":"v01"},{"dst":"v05","relation":"refutes","src":"v02"},{"dst":"v01","relation":"supports","src":"v02"},{"dst":"v00","relation":"refutes","src":"v03"},{"dst":"v03","relation":"supports","src":"v04"},{"dst":"v06","relation":"supports","src":"v04"}],"hop":4,"root":"v02","ro...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-6bd565baf6e2b5908fb5
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v01 --supports--> v05\n- v01 --ref...
350eaf38de05377156f10bd702a9967717bca862764b920addc3ce79ee7f8b28
livegraph.boolean-propagation.v1
6bd565baf6e2b5908fb5149f4f9657eeb0bd835691a0e6cb880419fd7dd51a4e
{"edges":[{"dst":"v03","relation":"refutes","src":"v00"},{"dst":"v04","relation":"refutes","src":"v01"},{"dst":"v05","relation":"supports","src":"v01"},{"dst":"v00","relation":"supports","src":"v02"},{"dst":"v06","relation":"supports","src":"v02"},{"dst":"v02","relation":"refutes","src":"v04"}],"hop":4,"root":"v01","ro...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-3a67d401b0726e33de48
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v03 --refutes--> v00\n- v02 --supp...
a41a41882e312ad8371a25f04053be5be147bde53470ecc6baedd3219eb99aa8
livegraph.boolean-propagation.v1
3a67d401b0726e33de48a679656077dc7a311c37210270a5492fbf6a9b9aa909
{"edges":[{"dst":"v06","relation":"supports","src":"v02"},{"dst":"v00","relation":"refutes","src":"v03"},{"dst":"v02","relation":"refutes","src":"v03"},{"dst":"v03","relation":"supports","src":"v04"},{"dst":"v01","relation":"supports","src":"v06"},{"dst":"v05","relation":"supports","src":"v06"}],"hop":4,"root":"v04","r...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-b6488b0a3350cded8b4f
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v05 --refutes--> v06\n- v05 --supp...
a141232f74e7332609dcf15c8a3f217d3e5e210075b8bc059985e6f9e069e110
livegraph.boolean-propagation.v1
b6488b0a3350cded8b4fcaedde38a1717626186c425f177bcb1995522637774f
{"edges":[{"dst":"v05","relation":"refutes","src":"v00"},{"dst":"v04","relation":"refutes","src":"v02"},{"dst":"v03","relation":"supports","src":"v02"},{"dst":"v00","relation":"supports","src":"v03"},{"dst":"v06","relation":"refutes","src":"v05"},{"dst":"v01","relation":"supports","src":"v05"}],"hop":4,"root":"v02","ro...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-839fb23494c98d0c2b28
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v05 --refutes--> v02\n- v01 --supp...
dbc3cfbf6979bab771fa0e61523adb764eae1c8f571e09efb39b7bf101d2ff18
livegraph.boolean-propagation.v1
839fb23494c98d0c2b286f58db8792b6d3260ed0c8c8dd3c942777551f275946
{"edges":[{"dst":"v05","relation":"refutes","src":"v00"},{"dst":"v03","relation":"supports","src":"v00"},{"dst":"v06","relation":"supports","src":"v01"},{"dst":"v02","relation":"refutes","src":"v05"},{"dst":"v01","relation":"supports","src":"v05"},{"dst":"v04","relation":"refutes","src":"v06"}],"hop":4,"root":"v00","ro...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-e87379b7d42b9e242a65
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v04 --refutes--> v01\n- v01 --supp...
d27ce823aba3eb90a24fc10d94d9fd39cb7cc8af08c5c33cd676b55446024ca9
livegraph.boolean-propagation.v1
e87379b7d42b9e242a65d1bc2dec7c32e412edd02281ad17747350771976dfa7
{"edges":[{"dst":"v02","relation":"refutes","src":"v00"},{"dst":"v03","relation":"supports","src":"v01"},{"dst":"v05","relation":"supports","src":"v01"},{"dst":"v06","relation":"supports","src":"v01"},{"dst":"v04","relation":"refutes","src":"v02"},{"dst":"v01","relation":"refutes","src":"v04"}],"hop":4,"root":"v00","ro...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-91bc7cda24188949a014
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v06 --supports--> v00\n- v03 --ref...
55105fcbb53ebf3892387b81a1168479058c5c567a491cf9f523a04d2fabdcef
livegraph.boolean-propagation.v1
91bc7cda24188949a014b13306c90bc680e26ce2055591bb6d9e66513756ea45
{"edges":[{"dst":"v05","relation":"supports","src":"v00"},{"dst":"v06","relation":"refutes","src":"v01"},{"dst":"v04","relation":"refutes","src":"v03"},{"dst":"v01","relation":"supports","src":"v03"},{"dst":"v00","relation":"supports","src":"v06"},{"dst":"v02","relation":"supports","src":"v06"}],"hop":4,"root":"v03","r...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-d2de4797035f2cafd76e
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v01 --refutes--> v05\n- v03 --supp...
4813a2db650ba1976cb78399af0e9491951def9c569f0fbc2706b605f30f0c21
livegraph.boolean-propagation.v1
d2de4797035f2cafd76e66e53f7032f7d04a9ca8eb9144c5d6f46727c9923485
{"edges":[{"dst":"v05","relation":"refutes","src":"v01"},{"dst":"v02","relation":"supports","src":"v01"},{"dst":"v00","relation":"supports","src":"v03"},{"dst":"v06","relation":"supports","src":"v03"},{"dst":"v03","relation":"refutes","src":"v04"},{"dst":"v04","relation":"supports","src":"v05"}],"hop":4,"root":"v01","r...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-007ddfedf5f0133694db
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v03 --refutes--> v06\n- v04 --supp...
f9eb00217a9d800d88da406981c751d3e287a35b203991dee47515c5e2d0b538
livegraph.boolean-propagation.v1
007ddfedf5f0133694db7b2239758d62b2ad29b26bbbd5c47dcc1a5f368e91ce
{"edges":[{"dst":"v04","relation":"supports","src":"v00"},{"dst":"v03","relation":"refutes","src":"v01"},{"dst":"v00","relation":"refutes","src":"v03"},{"dst":"v06","relation":"refutes","src":"v03"},{"dst":"v05","relation":"refutes","src":"v04"},{"dst":"v02","relation":"supports","src":"v04"}],"hop":4,"root":"v01","roo...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-2710d9127a377557566c
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v01 --refutes--> v06\n- v01 --refu...
4bf5f6df849d76561aebbea16e0871fb4594ba74d0b0e8f99b66b59b6f6f142f
livegraph.boolean-propagation.v1
2710d9127a377557566c3426e45f899ed16c0a29cb8b5496dc13ae7c03313ada
{"edges":[{"dst":"v03","relation":"refutes","src":"v01"},{"dst":"v06","relation":"refutes","src":"v01"},{"dst":"v01","relation":"supports","src":"v04"},{"dst":"v04","relation":"refutes","src":"v05"},{"dst":"v00","relation":"supports","src":"v05"},{"dst":"v02","relation":"refutes","src":"v06"}],"hop":4,"root":"v05","roo...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-d6a056938acce3ec1774
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v06 --supports--> v01\n- v00 --ref...
5db8c6348010184fd06e03bff7c37d3485ec4b4d8c33f2f8bf74268bddef61da
livegraph.boolean-propagation.v1
d6a056938acce3ec1774609ff4541d60f04f048f2ab28e5b945639a44b499b71
{"edges":[{"dst":"v02","relation":"refutes","src":"v00"},{"dst":"v06","relation":"refutes","src":"v00"},{"dst":"v00","relation":"refutes","src":"v03"},{"dst":"v04","relation":"refutes","src":"v05"},{"dst":"v03","relation":"supports","src":"v05"},{"dst":"v01","relation":"supports","src":"v06"}],"hop":4,"root":"v05","roo...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-bfed0cdc3a27321a4e89
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v03 --supports--> v02\n- v06 --sup...
0fb13973b29237e55fc473fc6407a1ba38b7c5582bd5f99129cb87fde5bfcb76
livegraph.boolean-propagation.v1
bfed0cdc3a27321a4e89347729a7936d968852b55b00661e694b36d58db07de0
{"edges":[{"dst":"v05","relation":"supports","src":"v02"},{"dst":"v02","relation":"supports","src":"v03"},{"dst":"v06","relation":"supports","src":"v05"},{"dst":"v04","relation":"refutes","src":"v06"},{"dst":"v00","relation":"supports","src":"v06"},{"dst":"v01","relation":"supports","src":"v06"}],"hop":4,"root":"v03","...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-2dc88979450aa9593742
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v01 --supports--> v02\n- v03 --sup...
938a787b23ada907954495cb5f34ca750b45ba7636e4637b21a2eb21e0d03322
livegraph.boolean-propagation.v1
2dc88979450aa9593742d922393bafe18d807bb140c8b141725f4e98ed21a587
{"edges":[{"dst":"v04","relation":"supports","src":"v00"},{"dst":"v03","relation":"refutes","src":"v01"},{"dst":"v02","relation":"supports","src":"v01"},{"dst":"v00","relation":"refutes","src":"v03"},{"dst":"v06","relation":"supports","src":"v03"},{"dst":"v05","relation":"refutes","src":"v04"}],"hop":4,"root":"v01","ro...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-9a46890927877421f995
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v00 --refutes--> v01\n- v03 --refu...
83cbbef4591d227f5266f0fdb97266f31b35c4c2d32ad6ef1f5276e379b258db
livegraph.boolean-propagation.v1
9a46890927877421f99569e75a0b0fefdf56532ce5feb421e96274e2e849fdee
{"edges":[{"dst":"v01","relation":"refutes","src":"v00"},{"dst":"v05","relation":"supports","src":"v00"},{"dst":"v03","relation":"refutes","src":"v02"},{"dst":"v06","relation":"refutes","src":"v03"},{"dst":"v04","relation":"supports","src":"v03"},{"dst":"v00","relation":"refutes","src":"v04"}],"hop":4,"root":"v02","roo...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-fcf95353f31ca0bd37bb
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v06 --supports--> v04\n- v00 --sup...
1c052754c75618507e666ef8b4e758280177859e698884058b40fe415c0bf209
livegraph.boolean-propagation.v1
fcf95353f31ca0bd37bb74c772ca507effc0d5a66b9cf075ba68184b0519df9f
{"edges":[{"dst":"v03","relation":"supports","src":"v00"},{"dst":"v05","relation":"refutes","src":"v04"},{"dst":"v00","relation":"refutes","src":"v05"},{"dst":"v02","relation":"refutes","src":"v06"},{"dst":"v01","relation":"supports","src":"v06"},{"dst":"v04","relation":"supports","src":"v06"}],"hop":4,"root":"v06","ro...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-8db7df613d13a523f0ee
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v05 --refutes--> v02\n- v00 --refu...
d70f9410763039c09995e758727595c3b0e1272535c12a19951c1ba4d5130b6e
livegraph.boolean-propagation.v1
8db7df613d13a523f0eeb40c844f1a4e4f5c706e61282d28c994d2a7a977e9a6
{"edges":[{"dst":"v06","relation":"refutes","src":"v00"},{"dst":"v00","relation":"refutes","src":"v01"},{"dst":"v04","relation":"supports","src":"v01"},{"dst":"v01","relation":"supports","src":"v02"},{"dst":"v02","relation":"refutes","src":"v05"},{"dst":"v03","relation":"refutes","src":"v05"}],"hop":4,"root":"v05","roo...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-fa9d5582b78783a3c966
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v03 --supports--> v05\n- v01 --sup...
300943781a9e4ce640fd10e4b0c54f9c3aceae4ffa95c0e9c03437001b73c41a
livegraph.boolean-propagation.v1
fa9d5582b78783a3c9667206e0d27250e9a0ab0c41fa1f71681666ded13967af
{"edges":[{"dst":"v04","relation":"supports","src":"v01"},{"dst":"v01","relation":"refutes","src":"v02"},{"dst":"v00","relation":"refutes","src":"v03"},{"dst":"v06","relation":"refutes","src":"v03"},{"dst":"v05","relation":"supports","src":"v03"},{"dst":"v02","relation":"supports","src":"v05"}],"hop":4,"root":"v03","ro...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-ae4fdb4d5d004a26e9c6
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v04 --supports--> v06\n- v03 --ref...
f1deefe0a94216218e06e8d939660ef7ff13eaf803a0510d4cf752965a59216f
livegraph.boolean-propagation.v1
ae4fdb4d5d004a26e9c6fa86ae133eb9970128d012139ff0b6fadc99cc8ec887
{"edges":[{"dst":"v03","relation":"refutes","src":"v00"},{"dst":"v04","relation":"refutes","src":"v02"},{"dst":"v02","relation":"refutes","src":"v03"},{"dst":"v05","relation":"refutes","src":"v03"},{"dst":"v01","relation":"supports","src":"v04"},{"dst":"v06","relation":"supports","src":"v04"}],"hop":4,"root":"v00","roo...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-2131ab0d7ca75dedcfb9
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v05 --supports--> v06\n- v05 --ref...
06f30da73c8b0c635ed010bc3a9ed4a0823793d54e345ac1ceb46194b6e83417
livegraph.boolean-propagation.v1
2131ab0d7ca75dedcfb952f7dc967aa1b650b9f5d9af2fc6d4ee742cc8d7cb2e
{"edges":[{"dst":"v05","relation":"supports","src":"v01"},{"dst":"v03","relation":"supports","src":"v02"},{"dst":"v04","relation":"supports","src":"v02"},{"dst":"v00","relation":"refutes","src":"v05"},{"dst":"v06","relation":"supports","src":"v05"},{"dst":"v02","relation":"refutes","src":"v06"}],"hop":4,"root":"v01","r...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-519ec650a96001b2cd47
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v03 --refutes--> v01\n- v02 --supp...
1c3d97688386ddb26ecdad8f85aac4dbd6c8c58dfdb3fa1c7864a66d8e6f1f36
livegraph.boolean-propagation.v1
519ec650a96001b2cd47d463a1241a9bc9295fd3c5cf2acc46a5e70ec984ddb5
{"edges":[{"dst":"v02","relation":"supports","src":"v00"},{"dst":"v03","relation":"supports","src":"v02"},{"dst":"v01","relation":"refutes","src":"v03"},{"dst":"v05","relation":"refutes","src":"v03"},{"dst":"v06","relation":"refutes","src":"v03"},{"dst":"v04","relation":"supports","src":"v05"}],"hop":4,"root":"v00","ro...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-897312915c772a0bfbb0
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v00 --supports--> v04\n- v04 --sup...
3e88f57b86c7da80c426e380efc9646590a05a7ac85dc391258e7c309b1fb58a
livegraph.boolean-propagation.v1
897312915c772a0bfbb02f28e51e401916d30e1a4c3a9ccd97e7e0b24724ae16
{"edges":[{"dst":"v05","relation":"refutes","src":"v00"},{"dst":"v04","relation":"supports","src":"v00"},{"dst":"v03","relation":"supports","src":"v01"},{"dst":"v02","relation":"refutes","src":"v03"},{"dst":"v06","relation":"refutes","src":"v04"},{"dst":"v01","relation":"supports","src":"v04"}],"hop":4,"root":"v00","ro...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-06e5d6703036a98d62a1
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v03 --supports--> v04\n- v00 --sup...
32de6c19bccc564db4c650b2fd3d0fd019f666106cf1ccf5185dac790bee7564
livegraph.boolean-propagation.v1
06e5d6703036a98d62a1de2f7c3032c7ab44a49af7ad871bc2bf9ef0912848f1
{"edges":[{"dst":"v06","relation":"supports","src":"v00"},{"dst":"v05","relation":"refutes","src":"v02"},{"dst":"v00","relation":"refutes","src":"v03"},{"dst":"v04","relation":"supports","src":"v03"},{"dst":"v02","relation":"refutes","src":"v06"},{"dst":"v01","relation":"supports","src":"v06"}],"hop":4,"root":"v03","ro...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-152585616dce5f4c3dee
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v01 --supports--> v03\n- v01 --sup...
3e3ee2298bd2b509fb73d04ae09b84d3aac0f9187c3cd5e177238f13827a9c84
livegraph.boolean-propagation.v1
152585616dce5f4c3dee1f3f53c98f6c95c0eac911678e68693cc363e741aeb5
{"edges":[{"dst":"v03","relation":"supports","src":"v01"},{"dst":"v05","relation":"supports","src":"v01"},{"dst":"v01","relation":"refutes","src":"v02"},{"dst":"v04","relation":"refutes","src":"v02"},{"dst":"v00","relation":"refutes","src":"v03"},{"dst":"v02","relation":"supports","src":"v06"}],"hop":4,"root":"v06","ro...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-e4f1e8678ada0425a179
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v01 --refutes--> v02\n- v00 --supp...
85b95a32ff600d9163f21abffbf8600291adad2cc96165cdf247e3e3e9c6cc32
livegraph.boolean-propagation.v1
e4f1e8678ada0425a17906dffdcb23ee086af81d1390aad49d66825a7fa723dc
{"edges":[{"dst":"v03","relation":"supports","src":"v00"},{"dst":"v02","relation":"refutes","src":"v01"},{"dst":"v06","relation":"refutes","src":"v01"},{"dst":"v04","relation":"supports","src":"v01"},{"dst":"v05","relation":"refutes","src":"v02"},{"dst":"v01","relation":"supports","src":"v03"}],"hop":4,"root":"v00","ro...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-b1aef08729b80d9302dc
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v01 --refutes--> v06\n- v04 --refu...
0f69bff8f2fc91b9f50b4d155e4f5f21d77fb3770808b38d208680889a9f7c5a
livegraph.boolean-propagation.v1
b1aef08729b80d9302dc3ac26b7aa297bb34343cb86d9c03f17be8f1465324b7
{"edges":[{"dst":"v01","relation":"refutes","src":"v00"},{"dst":"v02","relation":"refutes","src":"v00"},{"dst":"v06","relation":"refutes","src":"v01"},{"dst":"v00","relation":"refutes","src":"v04"},{"dst":"v05","relation":"refutes","src":"v04"},{"dst":"v03","relation":"refutes","src":"v06"}],"hop":4,"root":"v04","root_...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-dd9a89ea0eb362ce21f2
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v05 --supports--> v02\n- v05 --ref...
92ff3f42451c72431501eb7d479a056d5daea75c2eb491aa636049e69ff1ba3e
livegraph.boolean-propagation.v1
dd9a89ea0eb362ce21f2b369980a4a9069d9bc56d444d9be71c4c65b07a5f829
{"edges":[{"dst":"v00","relation":"refutes","src":"v01"},{"dst":"v01","relation":"supports","src":"v04"},{"dst":"v06","relation":"refutes","src":"v05"},{"dst":"v02","relation":"supports","src":"v05"},{"dst":"v04","relation":"refutes","src":"v06"},{"dst":"v03","relation":"supports","src":"v06"}],"hop":4,"root":"v05","ro...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-620ae51ce4663572cdd3
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v02 --refutes--> v06\n- v01 --supp...
56f0ac3b83dc2caddd214ca4b9f8acf84f3b1e7a07a64e709b30cbd6a353ce0c
livegraph.boolean-propagation.v1
620ae51ce4663572cdd38372602616426dfcf5ec20485c1e0b39ea596281d54e
{"edges":[{"dst":"v01","relation":"supports","src":"v00"},{"dst":"v05","relation":"refutes","src":"v01"},{"dst":"v04","relation":"supports","src":"v01"},{"dst":"v06","relation":"refutes","src":"v02"},{"dst":"v02","relation":"supports","src":"v05"},{"dst":"v03","relation":"supports","src":"v05"}],"hop":4,"root":"v00","r...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-48552bae341662aa60f1
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v05 --refutes--> v00\n- v00 --refu...
431f96fe9c9a62c79531585f9dcc9bfc6ef929dd1686262571c79d7e1afda43d
livegraph.boolean-propagation.v1
48552bae341662aa60f1584f6950cde23d8a1ee4c4455e519a9011abe8d996fe
{"edges":[{"dst":"v01","relation":"refutes","src":"v00"},{"dst":"v02","relation":"refutes","src":"v00"},{"dst":"v04","relation":"refutes","src":"v03"},{"dst":"v06","relation":"refutes","src":"v03"},{"dst":"v00","relation":"refutes","src":"v05"},{"dst":"v05","relation":"refutes","src":"v06"}],"hop":4,"root":"v03","root_...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-0e8353ee80788ab0a076
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v03 --supports--> v01\n- v05 --ref...
50b80a7ec7ca416a38c7dc5ae5de8e4c22e169e6f67f9baaaabc232386f3deef
livegraph.boolean-propagation.v1
0e8353ee80788ab0a0762df8eb0c09982ebe0a45c5abf5ae5bfa17bdfdaf9efd
{"edges":[{"dst":"v02","relation":"refutes","src":"v03"},{"dst":"v00","relation":"supports","src":"v03"},{"dst":"v01","relation":"supports","src":"v03"},{"dst":"v06","relation":"supports","src":"v04"},{"dst":"v03","relation":"refutes","src":"v05"},{"dst":"v05","relation":"refutes","src":"v06"}],"hop":4,"root":"v04","ro...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-bf2ab4a5ea5e8c81c598
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v01 --supports--> v05\n- v02 --ref...
290916e18ab492a6408e5c80938d974316f4e71efc28fa83810c9d261c75887b
livegraph.boolean-propagation.v1
bf2ab4a5ea5e8c81c59824582fa17a41e0c42f7f28572a511877891213f72dae
{"edges":[{"dst":"v01","relation":"supports","src":"v00"},{"dst":"v03","relation":"refutes","src":"v01"},{"dst":"v05","relation":"supports","src":"v01"},{"dst":"v00","relation":"refutes","src":"v02"},{"dst":"v04","relation":"refutes","src":"v02"},{"dst":"v02","relation":"supports","src":"v06"}],"hop":4,"root":"v06","ro...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-665f496a7403bd86c00e
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v05 --supports--> v06\n- v05 --sup...
4c0acaa747fb5b11b633aff1f5638070e6e1ea21c43d6b9727897d2a685a2a0c
livegraph.boolean-propagation.v1
665f496a7403bd86c00e3dc59e1cd846824eb4fc75ef6ba6ee5da6b83511030d
{"edges":[{"dst":"v05","relation":"supports","src":"v02"},{"dst":"v01","relation":"refutes","src":"v04"},{"dst":"v03","relation":"supports","src":"v04"},{"dst":"v00","relation":"supports","src":"v05"},{"dst":"v06","relation":"supports","src":"v05"},{"dst":"v04","relation":"refutes","src":"v06"}],"hop":4,"root":"v02","r...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-9b7f1ad704b9d201cc55
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v05 --refutes--> v03\n- v00 --supp...
87e0f8c28fdfe01ee455e459403ac7220a478cc5193e477e51a1e76c9f8860b4
livegraph.boolean-propagation.v1
9b7f1ad704b9d201cc5513092dccd28ba9272152eba9e8459747d44cb7b1bd69
{"edges":[{"dst":"v05","relation":"supports","src":"v00"},{"dst":"v01","relation":"refutes","src":"v02"},{"dst":"v02","relation":"supports","src":"v03"},{"dst":"v03","relation":"refutes","src":"v05"},{"dst":"v04","relation":"supports","src":"v05"},{"dst":"v06","relation":"supports","src":"v05"}],"hop":4,"root":"v00","r...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-f4cc56b5d6a902f1f9b9
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v03 --supports--> v01\n- v04 --ref...
142f2aac5ae45d3f8824f6eace6896e51f89e9c2c292e7d446bc30fb459cc3ba
livegraph.boolean-propagation.v1
f4cc56b5d6a902f1f9b9b62858fc2b1a9b78d01403b05fca24326f2ead3c3cb3
{"edges":[{"dst":"v05","relation":"refutes","src":"v00"},{"dst":"v04","relation":"refutes","src":"v03"},{"dst":"v01","relation":"supports","src":"v03"},{"dst":"v02","relation":"refutes","src":"v04"},{"dst":"v06","relation":"supports","src":"v04"},{"dst":"v03","relation":"supports","src":"v05"}],"hop":4,"root":"v00","ro...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-d7d1f6e82d87b0000ace
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v04 --supports--> v02\n- v04 --ref...
bf1db0b0da0f694dc6766a05b4ac73c0042ce391429d5815c36d3286eeb8f595
livegraph.boolean-propagation.v1
d7d1f6e82d87b0000ace4b0e1ac19726661388fcf8ef95692320f26680fc8ba7
{"edges":[{"dst":"v05","relation":"refutes","src":"v00"},{"dst":"v03","relation":"supports","src":"v00"},{"dst":"v00","relation":"supports","src":"v01"},{"dst":"v01","relation":"supports","src":"v02"},{"dst":"v06","relation":"refutes","src":"v04"},{"dst":"v02","relation":"supports","src":"v04"}],"hop":4,"root":"v04","r...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-0272d46eebf922cbf939
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v00 --supports--> v02\n- v03 --ref...
b607e5fdf3c0f837942f3c90afc0fb3e820082254f5510fb27da54cc429f0fa9
livegraph.boolean-propagation.v1
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{"edges":[{"dst":"v02","relation":"supports","src":"v00"},{"dst":"v03","relation":"supports","src":"v01"},{"dst":"v00","relation":"refutes","src":"v03"},{"dst":"v06","relation":"refutes","src":"v03"},{"dst":"v05","relation":"supports","src":"v03"},{"dst":"v01","relation":"refutes","src":"v04"}],"hop":4,"root":"v04","ro...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-369744a0a0c73a2c6a22
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v00 --refutes--> v05\n- v04 --refu...
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livegraph.boolean-propagation.v1
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{"edges":[{"dst":"v05","relation":"refutes","src":"v00"},{"dst":"v01","relation":"refutes","src":"v04"},{"dst":"v02","relation":"refutes","src":"v04"},{"dst":"v03","relation":"refutes","src":"v05"},{"dst":"v06","relation":"refutes","src":"v05"},{"dst":"v04","relation":"supports","src":"v06"}],"hop":4,"root":"v00","root...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-38ea4ebd74ea108ff10f
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v06 --refutes--> v01\n- v02 --supp...
52bcb8bcde0ecec04f1b2d828d763611199e6edf4e6642527c6d4708d7c9b05f
livegraph.boolean-propagation.v1
38ea4ebd74ea108ff10f298bccf72c5c54c5f27b12614c51abe6cde9aeac0ba8
{"edges":[{"dst":"v00","relation":"refutes","src":"v02"},{"dst":"v03","relation":"supports","src":"v02"},{"dst":"v05","relation":"supports","src":"v03"},{"dst":"v04","relation":"refutes","src":"v05"},{"dst":"v01","relation":"refutes","src":"v06"},{"dst":"v02","relation":"refutes","src":"v06"}],"hop":4,"root":"v06","roo...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-c501110f4e5808290639
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v06 --refutes--> v00\n- v05 --supp...
fa012241ce733af59832203174d6aa363ab122a75ede85fd899336572f95be17
livegraph.boolean-propagation.v1
c501110f4e5808290639a016ca13ecd78b74fe143e35585e9bbf7b7adc5276e8
{"edges":[{"dst":"v05","relation":"supports","src":"v00"},{"dst":"v01","relation":"supports","src":"v03"},{"dst":"v02","relation":"supports","src":"v03"},{"dst":"v03","relation":"supports","src":"v05"},{"dst":"v04","relation":"supports","src":"v05"},{"dst":"v00","relation":"refutes","src":"v06"}],"hop":4,"root":"v06","...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-938e2ab0df1574d2425f
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v02 --refutes--> v03\n- v01 --supp...
fed87d8ae9d962f7ece70f5a186adbbac61aaa38ba1faa0c9cb863ebcaa0acba
livegraph.boolean-propagation.v1
938e2ab0df1574d2425fcea5bb8eb6bad4bcef1e96d8af4d3c73958d7e3c084e
{"edges":[{"dst":"v05","relation":"supports","src":"v01"},{"dst":"v03","relation":"refutes","src":"v02"},{"dst":"v06","relation":"supports","src":"v02"},{"dst":"v00","relation":"supports","src":"v05"},{"dst":"v04","relation":"supports","src":"v05"},{"dst":"v01","relation":"supports","src":"v06"}],"hop":4,"root":"v02","...
train
graph
livegraph-grpo-v1
FALSE
4
lggrpo1-295aef65ce6200f60b3f
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v00 --supports--> v03\n- v04 --sup...
dc69b212e71da99e101dacba316db034ba656dfc796cb3f05e6412d583083bf6
livegraph.boolean-propagation.v1
295aef65ce6200f60b3fcba7b354c2a575b5f4444182af399e6db89680b054c9
{"edges":[{"dst":"v02","relation":"supports","src":"v00"},{"dst":"v03","relation":"supports","src":"v00"},{"dst":"v04","relation":"refutes","src":"v03"},{"dst":"v01","relation":"supports","src":"v04"},{"dst":"v00","relation":"supports","src":"v06"},{"dst":"v05","relation":"supports","src":"v06"}],"hop":4,"root":"v06","...
train
graph
livegraph-grpo-v1
TRUE
4
lggrpo1-47a8e1b23bc0e2f52e18
[ { "content": "You are LiveGraph. Follow directed graph edges. The relation 'supports' preserves a Boolean truth value and 'refutes' negates it. Output exactly one token: TRUE or FALSE.", "role": "system" }, { "content": "[DIRECTED GRAPH; EDGE ORDER IS ARBITRARY]\n- v03 --refutes--> v00\n- v02 --supp...
347753462ed225e889f7ca10864fc0934ae737205eebdb16f241d4820fdd575b
livegraph.boolean-propagation.v1
47a8e1b23bc0e2f52e18ad66327cf4e0de84cd9d4f965b3d24660359b603561f
{"edges":[{"dst":"v06","relation":"refutes","src":"v00"},{"dst":"v04","relation":"supports","src":"v00"},{"dst":"v03","relation":"supports","src":"v02"},{"dst":"v00","relation":"refutes","src":"v03"},{"dst":"v01","relation":"refutes","src":"v05"},{"dst":"v02","relation":"supports","src":"v05"}],"hop":4,"root":"v05","ro...
train
graph
End of preview.

LiveGraph Matched Graph-vs-Linear Benchmark

This release contains the frozen synthetic datasets used by LiveGraph: Typed Graphs versus Linear Traces. It supports a controlled comparison between a typed-graph rendering and a chronological linear-trace rendering of the same Boolean relational-propagation records.

Main matched benchmark

  • data/semantic_train.jsonl: 480 semantic training records, depths 1--10.
  • data/semantic_heldout.jsonl: 3,200 clean held-out records, depths 1--32.
  • data/semantic_eval_variants.jsonl: 19,200 semantic evaluation variants.
  • data/sft_{typed_graph,linear_trace}.jsonl: paired SFT rows.
  • data/eval_{typed_graph,linear_trace}.jsonl: paired evaluation rows.
  • manifest.json: frozen counts, construction invariants, and file hashes.

The variants are clean, edge_order, node_rename, extra_distractors, one_path_edge_flip, and edge_delete. The generator balances labels within depth and holds the semantic record and full-chat token count fixed across the two registered renderings. Ordinary visible trailing PAD markers are part of the graph rendering package; this is not a pure graph-topology intervention.

Additional frozen subsets

  • data/grpo_v1/: exact-verifier GRPO train, ID, and OOD sets.
  • data/native_robustness_v1/: native-thinking robustness subset.
  • data/edge_delete_unknown_v1/: deletion-only UNKNOWN evaluation.
  • data/subsets_v3/: clean and diagnostic subsets.
  • data/relassum_v3/: auxiliary relation/assumption evaluation artifacts.

Integrity

Verify the frozen main files from this directory:

sha256sum -c SHA256SUMS

For the original main files, the frozen hashes are also recorded in manifest.json and SHA256SUMS. Derived subset directories carry their own manifests.

The byte-frozen top-level manifest retains two original absolute tokenizer and chat-template provenance strings so that its paper-reported SHA-256 remains verifiable. They are inert local paths; use the public base model files rather than those locations.

Scope and limitations

The data are synthetic. supports preserves a Boolean value and refutes negates it along one queried path. These tasks do not establish real-world reasoning quality, theorem validity, source-claim truth, or end-to-end OAE assurance. Auxiliary relation/assumption labels are not human gold.

License and citation

The released dataset is provided under Apache License 2.0. Cite the LiveGraph paper and this dataset release. A final arXiv identifier can be added to this card after submission.

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