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Logical Reasoning on FOLIO

89.2AccuracyVERGE Full
9.95230.52651.171.674Oct 13, 2023Mar 17, 2024Aug 20, 2024Jan 24, 2025Jun 29, 2025Dec 2, 2025May 8, 2026

Evaluation results

MethodLinks
VERGE Fullbackbone=GPT-20B2026.0189.2
PACS Llama 3.3 70BMethod=PACS, Model=Llama 3.3, Parameters=70B, Model Type=non-thinking model2026.0588
VERGE Fullbackbone=Sonnet-3.72026.0187.9
VERGE w/o Rtbackbone=GPT-20B2026.0186.7
VERGE w/o MCSbackbone=Sonnet-3.72026.0186.7
VERGE Fullbackbone=GPT-120B2026.0184.7
QwQ-32B-Preview*Model Series=QwQ, Size=32B, Source=Shen et al. (2025)2025.0284.2
VERGE w/o Rtbackbone=Sonnet-3.72026.0183
SC OSS-GPT-120BMethod=SC, Model=OSS-GPT, Parameters=120B, Model Type=Thinking model2026.0582
PACS Llama 3 8BMethod=PACS, Model=Llama 3, Parameters=8B, Model Type=non-thinking model2026.0582
VERGE w/o Rtbackbone=GPT-120B2026.0181.6
VERGE w/o MCSbackbone=GPT-120B2026.0180.7
VERGE w/o MCSbackbone=GPT-20B2026.0173.9
SCbackbone=Sonnet-3.72026.0172.4
LogicLMbackbone=Sonnet-3.72026.0171.6
CoTbackbone=Sonnet-3.72026.0170.4
Qwen2.5-Math-72B-InstructModel Series=Qwen2.5-Math, Size=72B2025.0269.5
OpenMath2-Llama3.1-70B*Model Series=OpenMath2, Base=Llama-3.1-70B, Source=Shen et al. (2025)2025.0268.5
LINCbackbone=Sonnet-3.72026.0165.2
Llama-3.1-70B-Instruct*Model Series=Llama-3.1, Size=70B, Source=Shen et al. (2025)2025.0265
SRbackbone=Sonnet-3.72026.0162.1
Qwen2.5-Math-7B-InstructModel Series=Qwen2.5-Math, Size=7B2025.0261.6
Qwen2.5-Math-7B-S2R-ORLModel Series=Qwen2.5-Math, Size=7B, RL Type=Outcome-level RL (ORL)2025.0261.6
CPMIReward Type=CPMI, Zero-shot BoN@8=true2026.0459.61
CPMI_MergeReward Type=CPMI_Merge, Zero-shot BoN@8=true2026.0458.62
Qwen2.5-Math-7B-S2R-BIModel Series=Qwen2.5-Math, Size=7B, RL Type=Binary Reward (BI)2025.0258.1
PoTbackbone=Sonnet-3.72026.0158.1
Eurus-2-7B-PRIMEModel Series=Eurus-2, Size=7B2025.0256.7
PoTbackbone=GPT-120B2026.0154.2
MCReward Type=MC, Zero-shot BoN@8=true2026.0454.19
DSBbackbone=GPT-20B2026.0153.7
SCbackbone=GPT-20B2026.0152.2
Full2025.1251
SnapKVBackbone=DeepSeek-R1-Distill-Llama-8B, Cache Budget=3842025.1249
PoTbackbone=GPT-20B2026.0148.8
Llama2prompting_strategy=CoT w. logic., fine-tuned_on_LLM-ERL=true2023.1048
LINCbackbone=GPT-120B2026.0147.5
FullBackbone=DeepSeek-R1-Distill-Llama-8B2025.1247
Llama2prompting_strategy=vanilla CoT, fine-tuned_on_LLM-ERL=true2023.1046
Llama2prompting_strategy=CoT w. logic., fine-tuned_on_LLM-ERL=false2023.1046
SnapKVKV cache budget=5122025.1246
Vicunaprompting_strategy=CoT w. logic., fine-tuned_on_LLM-ERL=true2023.1045
Llama2prompting_strategy=vanilla ICL, fine-tuned_on_LLM-ERL=true2023.1045
SnapKVKV cache budget=3842025.1245
DSBbackbone=Sonnet-3.72026.0144.5
Llama2prompting_strategy=vanilla CoT, fine-tuned_on_LLM-ERL=false2023.1044
RKVKV cache budget=3842025.1244
SnapKVKV cache budget=1282025.1244
Vicunaprompting_strategy=vanilla ICL, fine-tuned_on_LLM-ERL=true2023.1043
H2OKV cache budget=2562025.1243
H2OKV cache budget=5122025.1243
SRbackbone=GPT-120B2026.0142.9
Rand_MergeReward Type=Rand_Merge, Zero-shot BoN@8=true2026.0442.86
Vicunaprompting_strategy=CoT w. logic., fine-tuned_on_LLM-ERL=false2023.1042
Llama2prompting_strategy=vanilla ICL, fine-tuned_on_LLM-ERL=false2023.1042
SnapKVBackbone=Nemotron-Nano-8B, Budget=2562025.1242
H2OKV cache budget=3842025.1241
SnapKVBackbone=Nemotron-Nano-8B, Budget=3842025.1241
SnapKVBackbone=Nemotron-Nano-8B, Budget=5122025.1241
CoTbackbone=GPT-20B2026.0140.4
Vicunaprompting_strategy=vanilla ICL, fine-tuned_on_LLM-ERL=false2023.1040
Vicunaprompting_strategy=vanilla CoT, fine-tuned_on_LLM-ERL=true2023.1040
SnapKVKV cache budget=2562025.1240
KnormKV cache budget=3842025.1239
Vicunaprompting_strategy=vanilla CoT, fine-tuned_on_LLM-ERL=false2023.1038
KnormKV cache budget=5122025.1238
SnapKVBackbone=Nemotron-Nano-8B, Budget=1282025.1238
Qwen2.5-Math-7BModel Series=Qwen2.5-Math, Size=7B2025.0237.9
H2OBackbone=Nemotron-Nano-8B, Budget=5122025.1237
FullBackbone=Deepseek-R1-Distill-Qwen-7B2025.1236
RKVKV cache budget=2562025.1236
FullBackbone=Nemotron-Nano-8B2025.1236
H2OBackbone=Nemotron-Nano-8B, Budget=2562025.1236
SCbackbone=GPT-120B2026.0135.5
StreamingLLMKV cache budget=5122025.1235
H2OBackbone=Nemotron-Nano-8B, Budget=3842025.1235
SRbackbone=GPT-20B2026.0134
RKVKV cache budget=5122025.1234
ShadowKVBackbone=Deepseek-R1-Distill-Qwen-7B2025.1233
ShadowKV2025.1233
ShadowKVBackbone=Nemotron-Nano-8B2025.1233
CoTbackbone=GPT-120B2026.0132
SnapKVBackbone=Deepseek-R1-Distill-Qwen-7B, Budget=3842025.1231
SnapKVBackbone=Deepseek-R1-Distill-Qwen-7B, Budget=1282025.1230
LogicLMbackbone=GPT-20B2026.0129.9
SnapKVBackbone=Deepseek-R1-Distill-Qwen-7B, Budget=5122025.1229
KnormKV cache budget=2562025.1228
LogicLMbackbone=GPT-120B2026.0127.5
SnapKVBackbone=Deepseek-R1-Distill-Qwen-7B, Budget=2562025.1225
StreamingLLMKV cache budget=3842025.1225
H2OBackbone=Deepseek-R1-Distill-Qwen-7B, Budget=3842025.1223
H2OBackbone=Deepseek-R1-Distill-Qwen-7B, Budget=5122025.1223
H2OKV cache budget=1282025.1222
H2OBackbone=Nemotron-Nano-8B, Budget=1282025.1222
H2OBackbone=Deepseek-R1-Distill-Qwen-7B, Budget=2562025.1221
LINCbackbone=GPT-20B2026.0118.6
StreamingLLMBackbone=Nemotron-Nano-8B, Budget=5122025.1215
DSBbackbone=GPT-120B2026.0114
RKVBackbone=Nemotron-Nano-8B, Budget=5122025.1214
KnormBackbone=Nemotron-Nano-8B, Budget=5122025.1213