Research-Stack/shared-data/pist_trace_canary_vectors.jsonl
Brandon Schneider 153a8da5c5 feat(pist): Tier 2 trace canary — 24 multi-tactic Lean theorems
- 24/24 processed, 0 errors (12 verified, 12 failed)
- Average 2.0 steps per proof (max 5 steps)
- 11 tactic families detected
- Verified proofs: avg gap=2.50 vs Failed: avg gap=1.50
- proof_traces/*.trace.json + *.decomp.json stored per theorem
2026-05-26 02:37:22 -05:00

24 lines
6.3 KiB
JSON

{"name": "rw_chain_eq", "status": "verified", "n_steps": 2, "n_states": 1, "spectral_gap": 2.0, "rank_estimate": 1, "density": 2.0, "feature_vector": [2, 1, 2.0, 2.0, 0, 1, 0.0, 0.0, 0.0, -0.0, 0.5, 2524], "tactic_family_distribution": {"rewrite": 2}}
{"name": "rw_chain_mixed", "status": "verified", "n_steps": 2, "n_states": 1, "spectral_gap": 2.0, "rank_estimate": 1, "density": 2.0, "feature_vector": [2, 1, 2.0, 2.0, 0, 1, 0.0, 0.0, 0.0, 1.0, 0.5, 2194], "tactic_family_distribution": {"rewrite": 1, "normalization": 1}}
{"name": "rw_chain_3step", "status": "verified", "n_steps": 3, "n_states": 1, "spectral_gap": 3.0, "rank_estimate": 1, "density": 3.0, "feature_vector": [3, 1, 3.0, 3.0, 0, 1, 0.0, 0.0, 0.0, -0.0, 0.3333333333333333, 3279], "tactic_family_distribution": {"rewrite": 3}}
{"name": "rw_then_omega", "status": "failed", "n_steps": 2, "n_states": 1, "spectral_gap": 2.0, "rank_estimate": 1, "density": 2.0, "feature_vector": [2, 1, 2.0, 2.0, 0, 1, 0.0, 0.0, 0.0, 1.0, 0.5, 2137], "tactic_family_distribution": {"rewrite": 1, "arithmetic": 1}}
{"name": "cases_or_swap", "status": "failed", "n_steps": 5, "n_states": 1, "spectral_gap": 5.0, "rank_estimate": 1, "density": 5.0, "feature_vector": [5, 1, 5.0, 5.0, 0, 1, 0.0, 0.0, 0.0, 1.5219, 0.0, 5552], "tactic_family_distribution": {"case_analysis": 1, "unknown": 2, "discharge": 2}}
{"name": "cases_and_elim", "status": "verified", "n_steps": 3, "n_states": 1, "spectral_gap": 3.0, "rank_estimate": 1, "density": 3.0, "feature_vector": [3, 1, 3.0, 3.0, 0, 1, 0.0, 0.0, 0.0, 1.585, 0.3333333333333333, 3345], "tactic_family_distribution": {"case_analysis": 1, "discharge": 1, "unknown": 1}}
{"name": "constructor_example", "status": "verified", "n_steps": 3, "n_states": 1, "spectral_gap": 3.0, "rank_estimate": 1, "density": 3.0, "feature_vector": [3, 1, 3.0, 3.0, 0, 1, 0.0, 0.0, 0.0, 0.9183, 0.3333333333333333, 3311], "tactic_family_distribution": {"constructor": 1, "discharge": 2}}
{"name": "apply_chain", "status": "verified", "n_steps": 3, "n_states": 1, "spectral_gap": 3.0, "rank_estimate": 1, "density": 3.0, "feature_vector": [3, 1, 3.0, 3.0, 0, 1, 0.0, 0.0, 0.0, -0.0, 0.3333333333333333, 3548], "tactic_family_distribution": {"discharge": 3}}
{"name": "omega_chain_ineq", "status": "verified", "n_steps": 1, "n_states": 1, "spectral_gap": 1.0, "rank_estimate": 1, "density": 1.0, "feature_vector": [1, 1, 1.0, 1.0, 0, 1, 0.0, 0.0, 0.0, -0.0, 1.0, 1082], "tactic_family_distribution": {"arithmetic": 1}}
{"name": "omega_reorder_sum", "status": "verified", "n_steps": 1, "n_states": 1, "spectral_gap": 1.0, "rank_estimate": 1, "density": 1.0, "feature_vector": [1, 1, 1.0, 1.0, 0, 1, 0.0, 0.0, 0.0, -0.0, 1.0, 1056], "tactic_family_distribution": {"arithmetic": 1}}
{"name": "omega_distrib", "status": "failed", "n_steps": 1, "n_states": 1, "spectral_gap": 1.0, "rank_estimate": 1, "density": 1.0, "feature_vector": [1, 1, 1.0, 1.0, 0, 1, 0.0, 0.0, 0.0, -0.0, 0.0, 1071], "tactic_family_distribution": {"arithmetic": 1}}
{"name": "omega_chain_unsat", "status": "failed", "n_steps": 1, "n_states": 1, "spectral_gap": 1.0, "rank_estimate": 1, "density": 1.0, "feature_vector": [1, 1, 1.0, 1.0, 0, 1, 0.0, 0.0, 0.0, -0.0, 0.0, 1141], "tactic_family_distribution": {"arithmetic": 1}}
{"name": "induct_add_zero", "status": "failed", "n_steps": 1, "n_states": 1, "spectral_gap": 1.0, "rank_estimate": 1, "density": 1.0, "feature_vector": [1, 1, 1.0, 1.0, 0, 1, 0.0, 0.0, 0.0, -0.0, 0.0, 1042], "tactic_family_distribution": {"normalization": 1}}
{"name": "induct_add_succ", "status": "failed", "n_steps": 1, "n_states": 1, "spectral_gap": 1.0, "rank_estimate": 1, "density": 1.0, "feature_vector": [1, 1, 1.0, 1.0, 0, 1, 0.0, 0.0, 0.0, -0.0, 0.0, 1076], "tactic_family_distribution": {"normalization": 1}}
{"name": "induct_mul_zero", "status": "failed", "n_steps": 1, "n_states": 1, "spectral_gap": 1.0, "rank_estimate": 1, "density": 1.0, "feature_vector": [1, 1, 1.0, 1.0, 0, 1, 0.0, 0.0, 0.0, -0.0, 0.0, 1076], "tactic_family_distribution": {"normalization": 1}}
{"name": "induct_factorial", "status": "verified", "n_steps": 1, "n_states": 1, "spectral_gap": 1.0, "rank_estimate": 1, "density": 1.0, "feature_vector": [1, 1, 1.0, 1.0, 0, 1, 0.0, 0.0, 0.0, -0.0, 1.0, 1061], "tactic_family_distribution": {"normalization": 1}}
{"name": "intro_all", "status": "verified", "n_steps": 4, "n_states": 1, "spectral_gap": 4.0, "rank_estimate": 1, "density": 4.0, "feature_vector": [4, 1, 4.0, 4.0, 0, 1, 0.0, 0.0, 0.0, 0.8113, 0.25, 4316], "tactic_family_distribution": {"introduction": 3, "discharge": 1}}
{"name": "intro_apply", "status": "verified", "n_steps": 4, "n_states": 1, "spectral_gap": 4.0, "rank_estimate": 1, "density": 4.0, "feature_vector": [4, 1, 4.0, 4.0, 0, 1, 0.0, 0.0, 0.0, 1.0, 0.25, 4532], "tactic_family_distribution": {"introduction": 2, "discharge": 2}}
{"name": "have_chain", "status": "verified", "n_steps": 3, "n_states": 1, "spectral_gap": 3.0, "rank_estimate": 1, "density": 3.0, "feature_vector": [3, 1, 3.0, 3.0, 0, 1, 0.0, 0.0, 0.0, 0.9183, 0.3333333333333333, 3427], "tactic_family_distribution": {"lemma_introduction": 2, "discharge": 1}}
{"name": "calc_chain", "status": "failed", "n_steps": 2, "n_states": 1, "spectral_gap": 2.0, "rank_estimate": 1, "density": 2.0, "feature_vector": [2, 1, 2.0, 2.0, 0, 1, 0.0, 0.0, 0.0, 1.0, 0.0, 2270], "tactic_family_distribution": {"algebraic": 1, "arithmetic": 1}}
{"name": "fail_type_mismatch", "status": "failed", "n_steps": 1, "n_states": 1, "spectral_gap": 1.0, "rank_estimate": 1, "density": 1.0, "feature_vector": [1, 1, 1.0, 1.0, 0, 1, 0.0, 0.0, 0.0, -0.0, 0.0, 1170], "tactic_family_distribution": {"reflexivity": 1}}
{"name": "fail_missing_lemma", "status": "failed", "n_steps": 1, "n_states": 1, "spectral_gap": 1.0, "rank_estimate": 1, "density": 1.0, "feature_vector": [1, 1, 1.0, 1.0, 0, 1, 0.0, 0.0, 0.0, -0.0, 0.0, 1198], "tactic_family_distribution": {"rewrite": 1}}
{"name": "fail_unsat", "status": "failed", "n_steps": 1, "n_states": 1, "spectral_gap": 1.0, "rank_estimate": 1, "density": 1.0, "feature_vector": [1, 1, 1.0, 1.0, 0, 1, 0.0, 0.0, 0.0, -0.0, 0.0, 1112], "tactic_family_distribution": {"arithmetic": 1}}
{"name": "fail_bad_coercion", "status": "failed", "n_steps": 1, "n_states": 1, "spectral_gap": 1.0, "rank_estimate": 1, "density": 1.0, "feature_vector": [1, 1, 1.0, 1.0, 0, 1, 0.0, 0.0, 0.0, -0.0, 0.0, 1108], "tactic_family_distribution": {"reflexivity": 1}}