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Logical Reasoning on LogiQA (test)

86AccuracyHuman
33.303246.984160.66574.3459Mar 26, 2021Feb 6, 2022Dec 20, 2022Nov 2, 2023Sep 14, 2024Jul 28, 2025Jun 11, 2026

Evaluation results

MethodLinks
Human2022.0386—————
Human Performance2021.0586—————
Human Performance2024.0586—————
ART-meanModel=Qwen2.5-32B-Instruct, Evaluation Protocol=D_test2026.0463.5—————
ART-maxModel=Qwen2.5-32B-Instruct, Evaluation Protocol=D_test2026.0463.2—————
VanillaModel=Qwen2.5-32B-Instruct, Evaluation Protocol=D_test2026.0463—————
ART-maxModel=Qwen2.5-14B-Instruct, Evaluation Protocol=D_test2026.0457.8—————
ART-meanModel=Qwen2.5-14B-Instruct, Evaluation Protocol=D_test2026.0457.6—————
VanillaModel=Qwen2.5-14B-Instruct, Evaluation Protocol=D_test2026.0456.9—————
DetermLRModel=GPT-42023.1054.1911.74————
ART-meanModel=Qwen2.5-7B-Instruct, Evaluation Protocol=D_test2026.0452.5—————
ART-maxModel=Qwen2.5-7B-Instruct, Evaluation Protocol=D_test2026.0452.1—————
VanillaModel=Qwen2.5-7B-Instruct, Evaluation Protocol=D_test2026.0450.7—————
FFTModel=TinyLlama [71]2026.0647.54—————
FOCAL REASONERBackbone=DeBERTa, Data Augmentation=false2021.0545.8—————
ART-meanModel=Qwen2-7B-Instruct, Evaluation Protocol=D_test2026.0445.5—————
MERITBackbone=ALBERT2023.0645.3—————
CRModel=GPT-42023.1045.2517————
PathReasoner2024.0545.01—————
CCPO (qwen2.5-1.5b-instruct)Assignment Strategy=Counterfactuals2026.0345.01—————
ART-maxModel=Qwen2-7B-Instruct, Evaluation Protocol=D_test2026.0445—————
HGNBackbone=DeBERTa2021.0544.2—————
ART-maxModel=Ministral-8B-Instruct-2410, Evaluation Protocol=D_test2026.0444—————
IDOLBackbone=ALBERT2023.0643.8—————
ART-meanModel=Ministral-8B-Instruct-2410, Evaluation Protocol=D_test2026.0443.5—————
qwen2.5-1.5b-instructAssignment Strategy=Shared2026.0343.47—————
LReasonerBackbone=DeBERTa2021.0543.3—————
SFTModel=Qwen3-8B-Base2025.0743.12—————
SFT+GRPOModel=Qwen3-8B-Base2025.0743.12—————
ToTModel=GPT-42023.1043.0219.87————
ART-beamLLM=Llama3-8B-Instruct2026.0442.7—————
SFT+PenaltyModel=Qwen3-8B-Base2025.0742.62—————
SASFTModel=Qwen3-8B-Base2025.0742.62—————
LogiformerBackbone=RoBERTa2023.0642.6—————
LogiformerCategory=Graph2024.0542.55—-2.46———
MERITCategory=Sequence, Extra data=true2024.0542.4—-2.61———
VanillaModel=Qwen2-7B-Instruct, Evaluation Protocol=D_test2026.0442.3—————
APOLLOBase model=RoBERTa-large2022.1242.1—————
IDOLBackbone=RoBERTa2023.0641.8—————
GeniusTraining Corpus=OpenHermes2.5 (32K), Supervision Level=Without Supervision, Backbone Model=LLaMA3.1-8B-Instruct2025.0441.63—————
MERITBase model=RoBERTa-large2022.1241.5—————
DeBERTaBackbone=DeBERTa2021.0541.5—————
MERITBackbone=RoBERTa2023.0641.5—————
ART-greedyLLM=Llama3-8B-Instruct2026.0441.4—————
SIModel=GPT-42023.1041.3414.35————
ALBERTBackbone=ALBERT2023.0641.3—————
LReasonerBackbone=ALBERT2023.0641.2—————
VanillaModel=Ministral-8B-Instruct-2410, Evaluation Protocol=D_test2026.0441.1—————
SCPOTraining Corpus=OpenHermes2.5 (32K), Supervision Level=Without Supervision, Backbone Model=LLaMA3.1-8B-Instruct2025.0441.01—————
Beam SearchLLM=Llama3-8B-Instruct2026.0441—————
GeniusTraining Corpus=Magpie (25K), Supervision Level=Without Supervision, Backbone Model=LLaMA3.1-8B-Instruct2025.0440.86—————
AdaLoGN2022.0340.71—————
AdaLoGNCategory=Graph2024.0540.71—-4.3———
AdaLoGNBackbone=RoBERTa2023.0640.7—————
LReasonerdata_augmentation=true2022.0340.6—————
LRReasonerBase model=RoBERTa-large2022.1240.6—————
LReasonerBackbone=RoBERTa, Data Augmentation=true2021.0540.6—————
LReasonerBackbone=RoBERTa2023.0640.6—————
LReasonerCategory=Sequence2024.0540.6—-4.41———
COT-SCModel=GPT-4, n=162023.1040.4316————
SCPOTraining Corpus=Magpie (25K), Supervision Level=Without Supervision, Backbone Model=LLaMA3.1-8B-Instruct2025.0440.4—————
FOCAL REASONERBase model=RoBERTa-large2022.1240.3—————
MERITBackbone=RoBERTa, Data Augmentation=true2021.0540.3—————
FOCAL REASONERBackbone=RoBERTa, Data Augmentation=false2021.0540.3—————
Focal Reasoner2022.0340.25—————
FocalReasonerCategory=Graph2024.0540.25—-4.76———
ART-meanModel=Llama3.1-8B-Instruct, Evaluation Protocol=D_test2026.0440.2—————
SPINTraining Corpus=Magpie (25K), Supervision Level=With Supervision, Backbone Model=LLaMA3.1-8B-Instruct2025.0440.09—————
HGNBackbone=RoBERTa2021.0539.9—————
Self-RewardingTraining Corpus=OpenHermes2.5 (32K), Supervision Level=Without Supervision, Backbone Model=LLaMA3.1-8B-Instruct2025.0439.78—————
ART-maxModel=Llama3.1-8B-Instruct, Evaluation Protocol=D_test2026.0439.6—————
DAGN (Aug)Backbone=RoBERTa-Large, Graph Feature Augmentation=true2021.0339.32—————
DAGN2022.0339.32—————
DAGNCategory=Graph2024.0539.32—-5.69———
DAGNBackbone=RoBERTa, Data Augmentation=true2021.0539.3—————
LAMBADAModel=GPT-42023.1039.1156.24————
cLAModel=TinyLlama [71], Adapter rank=162026.0639.09—————
VanillaModel=Llama3.1-8B-Instruct, Evaluation Protocol=D_test2026.0438.8—————
DoLaLLM=Llama3-8B-Instruct2026.0438.8—————
DAGNBackbone=RoBERTa-Large2021.0338.71—————
DAGNBase model=RoBERTa-large2022.1238.7—————
DAGNBackbone=RoBERTa, Data Augmentation=false2021.0538.7—————
DAGNBackbone=RoBERTa2023.0638.7—————
CoHTraining Corpus=Magpie (25K), Supervision Level=Without Supervision, Backbone Model=LLaMA3.1-8B-Instruct2025.0438.56—————
COTModel=GPT-42023.1038.551————
VanillaLLM=Llama3-8B-Instruct2026.0438.5—————
CoHTraining Corpus=OpenHermes2.5 (32K), Supervision Level=Without Supervision, Backbone Model=LLaMA3.1-8B-Instruct2025.0438.4—————
ACTLLM=Llama3-8B-Instruct2026.0438—————
DetermLRModel=GPT-3.5-turbo2023.1037.9913.39————
Self-RewardingTraining Corpus=Magpie (25K), Supervision Level=Without Supervision, Backbone Model=LLaMA3.1-8B-Instruct2025.0437.94—————
SFTTraining Corpus=Magpie (25K), Supervision Level=With Supervision, Backbone Model=LLaMA3.1-8B-Instruct2025.0437.78—————
ITILLM=Llama3-8B-Instruct2026.0437.3—————
qwen2.5-1.5b-instructAssignment Strategy=Untrained2026.0337.02—————
RoBERTaBackbone=RoBERTa2023.0636.6—————
SFT+PenaltyModel=Qwen3-1.7B-Base2025.0736—————
STaRTraining Corpus=Magpie (25K), Supervision Level=Without Supervision, Backbone Model=LLaMA3.1-8B-Instruct2025.0435.94—————
RoBERTa-Large2021.0335.33—————
RoBERTamodel_size=Large2022.0335.33—————
ROBERTa-LargeCategory=Sequence2024.0535.33—-9.68———
SPINTraining Corpus=OpenHermes2.5 (32K), Supervision Level=With Supervision, Backbone Model=LLaMA3.1-8B-Instruct2025.0435.33—————