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run_id
string
benchmark
string
prover_model
string
lean_version
string
problem
string
sample_id
int64
candidate_index
int64
source
large_string
label
int8
status
string
error_kind
string
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902
minif2f
Pythagoras-LM/Pythagoras-Prover-4B
v4.15.0
amc12a_2019_p21
0
0
import Mathlib import Aesop set_option maxHeartbeats 800000 open BigOperators Real Nat Topology Rat set_option maxHeartbeats 800000 open BigOperators Real Nat Topology Rat theorem amc12a_2019_p21 (z : β„‚) (hβ‚€ : z = (1 + Complex.I) / Real.sqrt 2) : ((βˆ‘ k ∈ Finset.Icc (1 : β„€) 12, z ^ k ^ 2) * (βˆ‘ k ∈ Finset.Icc (1 : β„€) 1...
0
failed
lean_error
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902
minif2f
Pythagoras-LM/Pythagoras-Prover-4B
v4.15.0
amc12a_2019_p21
1
1
import Mathlib import Aesop set_option maxHeartbeats 800000 open BigOperators Real Nat Topology Rat set_option maxHeartbeats 800000 open BigOperators Real Nat Topology Rat theorem amc12a_2019_p21 (z : β„‚) (hβ‚€ : z = (1 + Complex.I) / Real.sqrt 2) : ((βˆ‘ k ∈ Finset.Icc (1 : β„€) 12, z ^ k ^ 2) * (βˆ‘ k ∈ Finset.Icc (1 : β„€) 1...
0
failed
lean_error
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902
minif2f
Pythagoras-LM/Pythagoras-Prover-4B
v4.15.0
amc12a_2019_p21
2
2
import Mathlib import Aesop set_option maxHeartbeats 800000 open BigOperators Real Nat Topology Rat set_option maxHeartbeats 800000 open BigOperators Real Nat Topology Rat theorem amc12a_2019_p21 (z : β„‚) (hβ‚€ : z = (1 + Complex.I) / Real.sqrt 2) : ((βˆ‘ k ∈ Finset.Icc (1 : β„€) 12, z ^ k ^ 2) * (βˆ‘ k ∈ Finset.Icc (1 : β„€) 1...
0
failed
lean_error
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902
minif2f
Pythagoras-LM/Pythagoras-Prover-4B
v4.15.0
amc12a_2019_p21
3
3
import Mathlib import Aesop set_option maxHeartbeats 800000 open BigOperators Real Nat Topology Rat set_option maxHeartbeats 800000 open BigOperators Real Nat Topology Rat theorem amc12a_2019_p21 (z : β„‚) (hβ‚€ : z = (1 + Complex.I) / Real.sqrt 2) : ((βˆ‘ k ∈ Finset.Icc (1 : β„€) 12, z ^ k ^ 2) * (βˆ‘ k ∈ Finset.Icc (1 : β„€) 1...
0
failed
lean_error
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902
minif2f
Pythagoras-LM/Pythagoras-Prover-4B
v4.15.0
amc12a_2019_p21
4
4
import Mathlib import Aesop set_option maxHeartbeats 800000 open BigOperators Real Nat Topology Rat set_option maxHeartbeats 800000 open BigOperators Real Nat Topology Rat theorem amc12a_2019_p21 (z : β„‚) (hβ‚€ : z = (1 + Complex.I) / Real.sqrt 2) : ((βˆ‘ k ∈ Finset.Icc (1 : β„€) 12, z ^ k ^ 2) * (βˆ‘ k ∈ Finset.Icc (1 : β„€) 1...
0
failed
lean_error
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902
minif2f
Pythagoras-LM/Pythagoras-Prover-4B
v4.15.0
amc12a_2019_p21
5
5
import Mathlib import Aesop set_option maxHeartbeats 800000 open BigOperators Real Nat Topology Rat set_option maxHeartbeats 800000 open BigOperators Real Nat Topology Rat theorem amc12a_2019_p21 (z : β„‚) (hβ‚€ : z = (1 + Complex.I) / Real.sqrt 2) : ((βˆ‘ k ∈ Finset.Icc (1 : β„€) 12, z ^ k ^ 2) * (βˆ‘ k ∈ Finset.Icc (1 : β„€) 1...
0
failed
lean_error
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902
minif2f
Pythagoras-LM/Pythagoras-Prover-4B
v4.15.0
amc12a_2019_p21
6
6
import Mathlib import Aesop set_option maxHeartbeats 800000 open BigOperators Real Nat Topology Rat set_option maxHeartbeats 800000 open BigOperators Real Nat Topology Rat theorem amc12a_2019_p21 (z : β„‚) (hβ‚€ : z = (1 + Complex.I) / Real.sqrt 2) : ((βˆ‘ k ∈ Finset.Icc (1 : β„€) 12, z ^ k ^ 2) * (βˆ‘ k ∈ Finset.Icc (1 : β„€) 1...
0
failed
lean_error
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902
minif2f
Pythagoras-LM/Pythagoras-Prover-4B
v4.15.0
amc12a_2019_p21
7
7
import Mathlib import Aesop set_option maxHeartbeats 800000 open BigOperators Real Nat Topology Rat set_option maxHeartbeats 800000 open BigOperators Real Nat Topology Rat theorem amc12a_2019_p21 (z : β„‚) (hβ‚€ : z = (1 + Complex.I) / Real.sqrt 2) : ((βˆ‘ k ∈ Finset.Icc (1 : β„€) 12, z ^ k ^ 2) * (βˆ‘ k ∈ Finset.Icc (1 : β„€) 1...
0
failed
lean_error
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902
minif2f
Pythagoras-LM/Pythagoras-Prover-4B
v4.15.0
amc12a_2019_p21
8
8
import Mathlib import Aesop set_option maxHeartbeats 800000 open BigOperators Real Nat Topology Rat set_option maxHeartbeats 800000 open BigOperators Real Nat Topology Rat theorem amc12a_2019_p21 (z : β„‚) (hβ‚€ : z = (1 + Complex.I) / Real.sqrt 2) : ((βˆ‘ k ∈ Finset.Icc (1 : β„€) 12, z ^ k ^ 2) * (βˆ‘ k ∈ Finset.Icc (1 : β„€) 1...
0
failed
lean_error
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902
minif2f
Pythagoras-LM/Pythagoras-Prover-4B
v4.15.0
amc12a_2019_p21
9
9
import Mathlib import Aesop set_option maxHeartbeats 800000 open BigOperators Real Nat Topology Rat set_option maxHeartbeats 800000 open BigOperators Real Nat Topology Rat theorem amc12a_2019_p21 (z : β„‚) (hβ‚€ : z = (1 + Complex.I) / Real.sqrt 2) : ((βˆ‘ k ∈ Finset.Icc (1 : β„€) 12, z ^ k ^ 2) * (βˆ‘ k ∈ Finset.Icc (1 : β„€) 1...
0
failed
lean_error
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902
minif2f
Pythagoras-LM/Pythagoras-Prover-4B
v4.15.0
amc12a_2019_p21
10
10
import Mathlib import Aesop set_option maxHeartbeats 800000 open BigOperators Real Nat Topology Rat set_option maxHeartbeats 800000 open BigOperators Real Nat Topology Rat theorem amc12a_2019_p21 (z : β„‚) (hβ‚€ : z = (1 + Complex.I) / Real.sqrt 2) : ((βˆ‘ k ∈ Finset.Icc (1 : β„€) 12, z ^ k ^ 2) * (βˆ‘ k ∈ Finset.Icc (1 : β„€) 1...
0
failed
lean_error
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Evaluation benchmark

The paper's evaluation benchmark for learned Lean 4 evaluators contains 68,932 deduplicated candidate programs from three public provers. Each row contains a complete source program and the acceptance label obtained with Lean v4.15.0.

Subset Programs Valid
miniF2F 41,638 25,702 (61.7%)
ProofNet 27,294 2,443 (9.0%)
Combined 68,932 28,145 (40.8%)

The remaining 40,787 programs are invalid. Candidates come from Pythagoras-Prover-4B, Goedel-Prover-V2-8B, and DeepSeek-Prover-V2-7B, each run on miniF2F and ProofNet. This benchmark is separate from the training corpus and the 27,210-program in-house validation set used to select thresholds and the self-consistency voting rule.

Labels and collection

passed maps to label 1; failed and wrong_declaration map to 0. Timeouts, infrastructure exceptions, not_run, and precheck failures are excluded. Labels reflect the collection verifier's acceptance policy, including expected-theorem matching and forbidden constructs, rather than successful elaboration of an arbitrary statement alone.

Programs are deduplicated by (source, lean_version) and conflicting verdicts are removed. The collection uses a 180-second per-command timeout, 64 concurrent verification jobs, and reuse of loaded Lean environments. miniF2F and ProofNet validity rates differ substantially; report metrics per benchmark as well as pooled results. The release does not assert that theorem statements are disjoint from all evaluator training material.

Columns

Column Meaning
run_id Source prover evaluation run
benchmark minif2f or proofnet
prover_model Prover that generated the candidate
lean_version Toolchain used for the reference verdict
problem Benchmark problem identifier
sample_id Generator sample identifier, when available
candidate_index Candidate position within its source run
source Complete unannotated Lean source
label 1 for valid, 0 for invalid
status passed, failed, or wrong_declaration
error_kind Error category for invalid candidates; null for valid candidates

Load

from datasets import load_dataset

benchmark = load_dataset("EPFL-LARA/lean-evaluation-benchmark", split="test")
source = benchmark[0]["source"]
label = benchmark[0]["label"]

Use source as the model input and reserve label, status, and error_kind for evaluation.

Results reported in the paper

Evaluator Accuracy Macro F1 MCC AUROC
Encoder: ModernBERT-large 0.586 0.563 0.372 0.862
One-token 8B 0.752 0.752 0.592 0.905
One-token 8B, calibrated threshold 0.86 0.831 0.831 0.683 0.905
Feedback 4B, greedy 0.851 0.851 0.733 β€”
Cascade: one-token β†’ greedy feedback 0.878 0.877 0.772 β€”
Cascade with 5-sample feedback, 4 valid votes required 0.888 0.887 0.783 β€”

Default classifier and gate thresholds are 0.5. Calibrated thresholds and the four-of-five self-consistency rule are selected on the separate in-house validation set. Self-consistency uses five traces at temperature 0.8. See the model cards for exact prompts, parsing rules, and serving settings.

Integrity

SHA-256 of data/test-00000-of-00001.parquet:

5a59f709b1466d53c72412cb8c7b7bb53cadd131b3a5b4ce8596677f70e2b3aa

Paper and related artifacts

This is the evaluation benchmark described in Learning Lean Feedback for Efficient Proof-Candidate Evaluation on GPUs.

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