{ "generated_at": "2026-07-16T13:15:44.389789+00:00", "tier": "91_seven_way_bare_metal", "connective_spine": { "obligation_count": 24, "python_decimal": { "status": "passed" } }, "full_formal_spine": { "obligation_count": 2370, "provable_count": 2316, "atomic_provable_count": 1863, "structural_bundle_excluded_count": 54, "provable_bundle_conj_count": 453, "margin_violation_count": 0, "margin_violation_ids": [], "structural_bundle_excluded_ids": [ "aether_prime_priors_bundle", "blackhole_thesis_bundle", "bubble_bleed_bundle", "cameo_symbolic_bundle", "codon_trinary_map_bundle", "cosmology_extended_bundle", "cosmology_higher_waves_bundle", "cosmology_wave10_bundle", "cosmology_wave4_bundle", "cosmology_wave5_bundle", "cosmology_wave6_bundle", "cosmology_wave7_bundle", "cosmology_wave8_bundle", "cosmology_wave9_bundle", "domain_coverage_priors_bundle", "domain_precision_priors_bundle", "emergent_domain_priors_bundle", "evolution_priors_bundle", "experiment_synthesis_priors_bundle", "formula_corpus_strict_empirical_bundle", "fuel_lab_compound_bundle", "higgs_branching_bundle", "hydrology_bundle", "knowledge_base_corpus_bundle", "kronos_metrology_bundle", "linguistics_priors_bundle", "magic_circle_priors_bundle", "magnetic_string_bundle", "math_generator_priors_bundle", "neuron_cohort_priors_bundle", "neuron_cohort_strata_bundle", "neuron_cohort_train_holdout_bundle", "neuron_hybrid_priors_bundle", "particle_physics_bundle", "protein_amino_acid_trinary_bundle", "soul_sibling_priors_bundle", "space_weather_bundle", "species_catalog_bundle", "structure_calibration_bundle", "thesis_simulation_bundle", "trinary_fluid_priors_bundle", "trinary_os_fsotb_bundle", "unified_db_meta_bundle", "vibra_register_bundle", "warp_bh_wh_portal_bundle", "weather_priors_bundle", "cmb_term1_negative", "quantum_raw_S_positive", "proton_raw_S_positive", "lean_proofs_constant_bundle", "cosmology_lambda_cdm_bundle", "photonic_forge_bundle", "cross_proof_connective_spine_bundle", "cross_proof_full_formal_spine_bundle" ], "modules_exported": 500, "by_tier": { "priors": 1909, "extended": 184, "bounds": 277 }, "by_kind": { "nat_pos": 575, "r_lt_lit_pure": 335, "bundle_conj": 507, "lt_lit": 213, "lt_half": 148, "gt_lit": 135, "eq_nat": 25, "nat_le_sym": 30, "eq_nat_arith": 32, "r_eq_sym": 12, "r_eq_lit": 28, "r_nonneg": 10, "pos": 101, "int_tuple3_eq": 148, "nat_gt_lit": 13, "nat_le_lit": 2, "gt_one": 6, "r_le_lit": 11, "lt": 10, "nat_lt_sym": 1, "r_le_sym": 11, "r_interval_le_conj": 7, "abs_diff_lt_lit": 7, "r_nonpos": 1, "r_interval_conj": 1, "abs_interval_conj": 1 }, "python_decimal": { "status": "passed" } }, "transcendental_bounds": { "obligation_count": 68, "python_decimal_verified_count": 66, "by_proof_template": { "exp_neg_one": 2, "certified_point": 43, "exp_add_one": 1, "e_minus_one": 1, "div_pi_e": 3, "e_interval": 2, "pi_interval": 2, "mul_e_pi": 7, "pi_fraction": 2, "icc_membership": 1, "exp_direct": 4 }, "coq_chunks": 3, "isabelle_chunks": 3, "status": "exported" }, "frameworks": { "lean_connective": { "status": "passed" }, "python_decimal": { "status": "passed", "connective_records": [ { "framework": "python_decimal", "spine": "connective", "obligation_id": "warp_psi_friction_pos", "kind": "pos", "passed": true, "statement": "0 < 0.082300635102" }, { "framework": "python_decimal", "spine": "connective", "obligation_id": "warp_psi_node_pos", "kind": "pos", "passed": true, "statement": "0 < 0.059407798774" }, { "framework": "python_decimal", "spine": "connective", "obligation_id": "warp_tunneling_bridge_pos", "kind": "pos", "passed": true, "statement": "0 < 0.053926299704" }, { "framework": "python_decimal", "spine": "connective", "obligation_id": "warp_psi_stabilization_pos", "kind": "pos", "passed": true, "statement": "0 < 2.386649570184" }, { "framework": "python_decimal", "spine": "connective", "obligation_id": "warp_psi_run_pos", "kind": "pos", "passed": true, "statement": "0 < 0.14178559741" }, { "framework": "python_decimal", "spine": "connective", "obligation_id": "warp_delta_phi_stable_pos", "kind": "pos", "passed": true, "statement": "0 < 0.004581413686" }, { "framework": "python_decimal", "spine": "connective", "obligation_id": "warp_y_exotic_byproduct_pos", "kind": "pos", "passed": true, "statement": "0 < 0.011637689406" }, { "framework": "python_decimal", "spine": "connective", "obligation_id": "warp_actuation_core_bundle", "kind": "pos", "passed": true, "statement": "0 < 0.082300635102" }, { "framework": "python_decimal", "spine": "connective", "obligation_id": "warp_stabilization_margin_gt_one", "kind": "gt_one", "passed": true, "statement": "1 < 1.722776467449" }, { "framework": "python_decimal", "spine": "connective", "obligation_id": "warp_stable_run_band", "kind": "gt_one", "passed": true, "statement": "1 < 1.722776467449" }, { "framework": "python_decimal", "spine": "connective", "obligation_id": "warp_actuation_stabilized_bundle", "kind": "gt_one", "passed": true, "statement": "1 < 1.722776467449" }, { "framework": "python_decimal", "spine": "connective", "obligation_id": "warp_bridge_lt_node", "kind": "lt", "passed": true, "statement": "0.053926299704 < 0.059407798774" }, { "framework": "python_decimal", "spine": "connective", "obligation_id": "warp_exotic_lt_friction", "kind": "lt", "passed": true, "statement": "0.011637689406 < 0.082300635102" }, { "framework": "python_decimal", "spine": "connective", "obligation_id": "connective_plasma_confinement_pos", "kind": "pos", "passed": true, "statement": "0 < 0.131181176323" }, { "framework": "python_decimal", "spine": "connective", "obligation_id": "connective_seawater_acoustic_pos", "kind": "pos", "passed": true, "statement": "0 < 0.094115088176" }, { "framework": "python_decimal", "spine": "connective", "obligation_id": "connective_decay_chain_relay_pos", "kind": "pos", "passed": true, "statement": "0 < 0.029710640768" }, { "framework": "python_decimal", "spine": "connective", "obligation_id": "connective_dt_energy_pos", "kind": "pos", "passed": true, "statement": "0 < 17.6" }, { "framework": "python_decimal", "spine": "connective", "obligation_id": "connective_fusion_grid_bundle", "kind": "pos", "passed": true, "statement": "0 < 0.131181176323" }, { "framework": "python_decimal", "spine": "connective", "obligation_id": "connective_energy_bus_pos", "kind": "pos", "passed": true, "statement": "0 < 6.5226644e-05" }, { "framework": "python_decimal", "spine": "connective", "obligation_id": "connective_cryo_rejection_pos", "kind": "pos", "passed": true, "statement": "0 < 0.040494897615" }, { "framework": "python_decimal", "spine": "connective", "obligation_id": "connective_em_coil_pos", "kind": "pos", "passed": true, "statement": "0 < 0.076350367522" }, { "framework": "python_decimal", "spine": "connective", "obligation_id": "connective_fluid_consistency_pos", "kind": "pos", "passed": true, "statement": "0 < 0.075670330033" }, { "framework": "python_decimal", "spine": "connective", "obligation_id": "connective_e10d_wd_bundle", "kind": "pos", "passed": true, "statement": "0 < 6.5226644e-05" }, { "framework": "python_decimal", "spine": "connective", "obligation_id": "connective_stab_margin_gt_one", "kind": "gt_one", "passed": true, "statement": "1 < 1.722776467449" } ], "full_formal_passed": 2316, "full_formal_total": 2316 }, "coq": { "status": "passed", "tool": "C:\\Rocq-Platform~9.0~2025.08\\bin\\coqc.exe", "chunk_count": 24, "chunks_passed": 24, "chunks": [ { "file": "ConnectiveSpine.v", "status": "passed", "returncode": 0, "vo_artifact": "I:\\FSOT-Physical-Archive\\02_FSOT-2.1-Lean-Full\\verification\\coq\\ConnectiveSpine.vo", "coqchk": { "tool": "C:\\Rocq-Platform~9.0~2025.08\\bin\\coqchk.exe", "returncode": 0, "status": "passed" }, "stderr": "" }, { "file": "StructuralProofSpine.v", "status": "passed", "returncode": 0, "vo_artifact": "I:\\FSOT-Physical-Archive\\02_FSOT-2.1-Lean-Full\\verification\\coq\\StructuralProofSpine.vo", "coqchk": { "tool": "C:\\Rocq-Platform~9.0~2025.08\\bin\\coqchk.exe", "returncode": 0, "status": "passed" }, "stderr": "ault]\nFile \".\\StructuralProofSpine.v\", line 1310, characters 0-154:\nWarning: To avoid stack overflow, large numbers in nat are interpreted as\napplications of Init.Nat.of_num_uint. [abstract-large-number,numbers,default]\nFile \".\\StructuralProofSpine.v\", line 1310, characters 0-154:\nWarning: To avoid stack overflow, large numbers in nat are interpreted as\napplications of Init.Nat.of_num_uint. [abstract-large-number,numbers,default]\nFile \".\\StructuralProofSpine.v\", line 1310, characters 0-154:\nWarning: To avoid stack overflow, large numbers in nat are interpreted as\napplications of Init.Nat.of_num_uint. [abstract-large-number,numbers,default]\nFile \".\\StructuralProofSpine.v\", line 7217, characters 0-58:\nWarning: To avoid stack overflow, large numbers in nat are interpreted as\napplications of Init.Nat.of_num_uint. [abstract-large-number,numbers,default]\nFile \".\\StructuralProofSpine.v\", line 7217, characters 0-58:\nWarning: To avoid stack overflow, large numbers in nat are interpreted as\napplications of Init.Nat.of_num_uint. [abstract-large-number,numbers,default]\nFile \".\\StructuralProofSpine.v\", line 7229, characters 0-91:\nWarning: To avoid stack overflow, large numbers in nat are interpreted as\napplications of Init.Nat.of_num_uint. [abstract-large-number,numbers,default]\nFile \".\\StructuralProofSpine.v\", line 7229, characters 0-91:\nWarning: To avoid stack overflow, large numbers in nat are interpreted as\napplications of Init.Nat.of_num_uint. [abstract-large-number,numbers,default]\n" }, { "file": "TranscendentalBounds_00.v", "status": "passed", "returncode": 0, "vo_artifact": "I:\\FSOT-Physical-Archive\\02_FSOT-2.1-Lean-Full\\verification\\coq\\TranscendentalBounds_00.vo", "coqchk": { "tool": "C:\\Rocq-Platform~9.0~2025.08\\bin\\coqchk.exe", "returncode": 0, "status": "passed" }, "stderr": "" }, { "file": "TranscendentalBounds_01.v", "status": "passed", "returncode": 0, "vo_artifact": "I:\\FSOT-Physical-Archive\\02_FSOT-2.1-Lean-Full\\verification\\coq\\TranscendentalBounds_01.vo", "coqchk": { "tool": "C:\\Rocq-Platform~9.0~2025.08\\bin\\coqchk.exe", "returncode": 0, "status": "passed" }, "stderr": "" }, { "file": "TranscendentalBounds_02.v", "status": "passed", "returncode": 0, "vo_artifact": "I:\\FSOT-Physical-Archive\\02_FSOT-2.1-Lean-Full\\verification\\coq\\TranscendentalBounds_02.vo", "coqchk": { "tool": "C:\\Rocq-Platform~9.0~2025.08\\bin\\coqchk.exe", "returncode": 0, "status": "passed" }, "stderr": "" }, { "file": "FullFormalSpine_00.v", "status": "passed", "returncode": 0, "vo_artifact": "I:\\FSOT-Physical-Archive\\02_FSOT-2.1-Lean-Full\\verification\\coq\\FullFormalSpine_00.vo", "coqchk": { "tool": "C:\\Rocq-Platform~9.0~2025.08\\bin\\coqchk.exe", "returncode": 0, "status": "passed" }, "stderr": "" }, { "file": "FullFormalSpine_01.v", "status": "passed", "returncode": 0, "vo_artifact": "I:\\FSOT-Physical-Archive\\02_FSOT-2.1-Lean-Full\\verification\\coq\\FullFormalSpine_01.vo", "coqchk": { "tool": "C:\\Rocq-Platform~9.0~2025.08\\bin\\coqchk.exe", "returncode": 0, "status": "passed" }, "stderr": "File \".\\FullFormalSpine_01.v\", line 156, characters 0-51:\nWarning: To avoid stack overflow, large numbers in nat are interpreted as\napplications of Init.Nat.of_num_uint. [abstract-large-number,numbers,default]\nFile \".\\FullFormalSpine_01.v\", line 240, characters 0-60:\nWarning: To avoid stack overflow, large numbers in nat are interpreted as\napplications of Init.Nat.of_num_uint. [abstract-large-number,numbers,default]\n" }, { "file": "FullFormalSpine_02.v", "status": "passed", "returncode": 0, "vo_artifact": "I:\\FSOT-Physical-Archive\\02_FSOT-2.1-Lean-Full\\verification\\coq\\FullFormalSpine_02.vo", "coqchk": { "tool": "C:\\Rocq-Platform~9.0~2025.08\\bin\\coqchk.exe", "returncode": 0, "status": "passed" }, "stderr": "" }, { "file": "FullFormalSpine_03.v", "status": "passed", "returncode": 0, "vo_artifact": "I:\\FSOT-Physical-Archive\\02_FSOT-2.1-Lean-Full\\verification\\coq\\FullFormalSpine_03.vo", "coqchk": { "tool": "C:\\Rocq-Platform~9.0~2025.08\\bin\\coqchk.exe", "returncode": 0, "status": "passed" }, "stderr": "" }, { "file": "FullFormalSpine_04.v", "status": "passed", "returncode": 0, "vo_artifact": "I:\\FSOT-Physical-Archive\\02_FSOT-2.1-Lean-Full\\verification\\coq\\FullFormalSpine_04.vo", "coqchk": { "tool": "C:\\Rocq-Platform~9.0~2025.08\\bin\\coqchk.exe", "returncode": 0, "status": "passed" }, "stderr": "File \".\\FullFormalSpine_04.v\", line 57, characters 0-72:\nWarning: To avoid stack overflow, large numbers in nat are interpreted as\napplications of Init.Nat.of_num_uint. [abstract-large-number,numbers,default]\nFile \".\\FullFormalSpine_04.v\", line 282, characters 0-75:\nWarning: To avoid stack overflow, large numbers in nat are interpreted as\napplications of Init.Nat.of_num_uint. [abstract-large-number,numbers,default]\n" }, { "file": "FullFormalSpine_05.v", "status": "passed", "returncode": 0, "vo_artifact": "I:\\FSOT-Physical-Archive\\02_FSOT-2.1-Lean-Full\\verification\\coq\\FullFormalSpine_05.vo", "coqchk": { "tool": "C:\\Rocq-Platform~9.0~2025.08\\bin\\coqchk.exe", "returncode": 0, "status": "passed" }, "stderr": "File \".\\FullFormalSpine_05.v\", line 192, characters 0-56:\nWarning: To avoid stack overflow, large numbers in nat are interpreted as\napplications of Init.Nat.of_num_uint. [abstract-large-number,numbers,default]\nFile \".\\FullFormalSpine_05.v\", line 195, characters 0-59:\nWarning: To avoid stack overflow, large numbers in nat are interpreted as\napplications of Init.Nat.of_num_uint. [abstract-large-number,numbers,default]\nFile \".\\FullFormalSpine_05.v\", line 195, characters 0-59:\nWarning: To avoid stack overflow, large numbers in nat are interpreted as\napplications of Init.Nat.of_num_uint. [abstract-large-number,numbers,default]\nFile \".\\FullFormalSpine_05.v\", line 198, characters 0-62:\nWarning: To avoid stack overflow, large numbers in nat are interpreted as\napplications of Init.Nat.of_num_uint. [abstract-large-number,numbers,default]\nFile \".\\FullFormalSpine_05.v\", line 198, characters 0-62:\nWarning: To avoid stack overflow, large numbers in nat are interpreted as\napplications of Init.Nat.of_num_uint. [abstract-large-number,numbers,default]\nFile \".\\FullFormalSpine_05.v\", line 201, characters 0-61:\nWarning: To avoid stack overflow, large numbers in nat are interpreted as\napplications of Init.Nat.of_num_uint. [abstract-large-number,numbers,default]\nFile \".\\FullFormalSpine_05.v\", line 201, characters 0-61:\nWarning: To avoid stack overflow, large numbers in nat are interpreted as\napplications of Init.Nat.of_num_uint. [abstract-large-number,numbers,default]\n" }, { "file": "FullFormalSpine_06.v", "status": "passed", "returncode": 0, "vo_artifact": "I:\\FSOT-Physical-Archive\\02_FSOT-2.1-Lean-Full\\verification\\coq\\FullFormalSpine_06.vo", "coqchk": { "tool": "C:\\Rocq-Platform~9.0~2025.08\\bin\\coqchk.exe", "returncode": 0, "status": "passed" }, "stderr": "" }, { "file": "FullFormalSpine_07.v", "status": "passed", "returncode": 0, "vo_artifact": "I:\\FSOT-Physical-Archive\\02_FSOT-2.1-Lean-Full\\verification\\coq\\FullFormalSpine_07.vo", "coqchk": { "tool": "C:\\Rocq-Platform~9.0~2025.08\\bin\\coqchk.exe", "returncode": 0, "status": "passed" }, "stderr": "t-large-number,numbers,default]\nFile \".\\FullFormalSpine_07.v\", line 51, characters 0-73:\nWarning: To avoid stack overflow, large numbers in nat are interpreted as\napplications of Init.Nat.of_num_uint. [abstract-large-number,numbers,default]\nFile \".\\FullFormalSpine_07.v\", line 51, characters 0-73:\nWarning: To avoid stack overflow, large numbers in nat are interpreted as\napplications of Init.Nat.of_num_uint. [abstract-large-number,numbers,default]\nFile \".\\FullFormalSpine_07.v\", line 189, characters 0-69:\nWarning: To avoid stack overflow, large numbers in nat are interpreted as\napplications of Init.Nat.of_num_uint. [abstract-large-number,numbers,default]\nFile \".\\FullFormalSpine_07.v\", line 192, characters 0-80:\nWarning: To avoid stack overflow, large numbers in nat are interpreted as\napplications of Init.Nat.of_num_uint. [abstract-large-number,numbers,default]\nFile \".\\FullFormalSpine_07.v\", line 192, characters 0-80:\nWarning: To avoid stack overflow, large numbers in nat are interpreted as\napplications of Init.Nat.of_num_uint. [abstract-large-number,numbers,default]\nFile \".\\FullFormalSpine_07.v\", line 195, characters 0-81:\nWarning: To avoid stack overflow, large numbers in nat are interpreted as\napplications of Init.Nat.of_num_uint. [abstract-large-number,numbers,default]\nFile \".\\FullFormalSpine_07.v\", line 195, characters 0-81:\nWarning: To avoid stack overflow, large numbers in nat are interpreted as\napplications of Init.Nat.of_num_uint. [abstract-large-number,numbers,default]\n" }, { "file": "FullFormalSpine_08.v", "status": "passed", "returncode": 0, "vo_artifact": "I:\\FSOT-Physical-Archive\\02_FSOT-2.1-Lean-Full\\verification\\coq\\FullFormalSpine_08.vo", "coqchk": { "tool": "C:\\Rocq-Platform~9.0~2025.08\\bin\\coqchk.exe", "returncode": 0, "status": "passed" }, "stderr": "File \".\\FullFormalSpine_08.v\", line 297, characters 0-66:\nWarning: To avoid stack overflow, large numbers in nat are interpreted as\napplications of Init.Nat.of_num_uint. [abstract-large-number,numbers,default]\nFile \".\\FullFormalSpine_08.v\", line 297, characters 0-66:\nWarning: To avoid stack overflow, large numbers in nat are interpreted as\napplications of Init.Nat.of_num_uint. [abstract-large-number,numbers,default]\n" }, { "file": "FullFormalSpine_09.v", "status": "passed", "returncode": 0, "vo_artifact": "I:\\FSOT-Physical-Archive\\02_FSOT-2.1-Lean-Full\\verification\\coq\\FullFormalSpine_09.vo", "coqchk": { "tool": "C:\\Rocq-Platform~9.0~2025.08\\bin\\coqchk.exe", "returncode": 0, "status": "passed" }, "stderr": "" }, { "file": "FullFormalSpine_10.v", "status": "passed", "returncode": 0, "vo_artifact": "I:\\FSOT-Physical-Archive\\02_FSOT-2.1-Lean-Full\\verification\\coq\\FullFormalSpine_10.vo", "coqchk": { "tool": "C:\\Rocq-Platform~9.0~2025.08\\bin\\coqchk.exe", "returncode": 0, "status": "passed" }, "stderr": "File \".\\FullFormalSpine_10.v\", line 279, characters 0-62:\nWarning: To avoid stack overflow, large numbers in nat are interpreted as\napplications of Init.Nat.of_num_uint. [abstract-large-number,numbers,default]\n" }, { "file": "FullFormalSpine_11.v", "status": "passed", "returncode": 0, "vo_artifact": "I:\\FSOT-Physical-Archive\\02_FSOT-2.1-Lean-Full\\verification\\coq\\FullFormalSpine_11.vo", "coqchk": { "tool": "C:\\Rocq-Platform~9.0~2025.08\\bin\\coqchk.exe", "returncode": 0, "status": "passed" }, "stderr": "File \".\\FullFormalSpine_11.v\", line 297, characters 0-59:\nWarning: To avoid stack overflow, large numbers in nat are interpreted as\napplications of Init.Nat.of_num_uint. [abstract-large-number,numbers,default]\nFile \".\\FullFormalSpine_11.v\", line 300, characters 0-70:\nWarning: To avoid stack overflow, large numbers in nat are interpreted as\napplications of Init.Nat.of_num_uint. [abstract-large-number,numbers,default]\nFile \".\\FullFormalSpine_11.v\", line 300, characters 0-70:\nWarning: To avoid stack overflow, large numbers in nat are interpreted as\napplications of Init.Nat.of_num_uint. [abstract-large-number,numbers,default]\n" }, { "file": "FullFormalSpine_12.v", "status": "passed", "returncode": 0, "vo_artifact": "I:\\FSOT-Physical-Archive\\02_FSOT-2.1-Lean-Full\\verification\\coq\\FullFormalSpine_12.vo", "coqchk": { "tool": "C:\\Rocq-Platform~9.0~2025.08\\bin\\coqchk.exe", "returncode": 0, "status": "passed" }, "stderr": "File \".\\FullFormalSpine_12.v\", line 111, characters 0-64:\nWarning: To avoid stack overflow, large numbers in nat are interpreted as\napplications of Init.Nat.of_num_uint. [abstract-large-number,numbers,default]\n" }, { "file": "FullFormalSpine_13.v", "status": "passed", "returncode": 0, "vo_artifact": "I:\\FSOT-Physical-Archive\\02_FSOT-2.1-Lean-Full\\verification\\coq\\FullFormalSpine_13.vo", "coqchk": { "tool": "C:\\Rocq-Platform~9.0~2025.08\\bin\\coqchk.exe", "returncode": 0, "status": "passed" }, "stderr": "File \".\\FullFormalSpine_13.v\", line 111, characters 0-53:\nWarning: To avoid stack overflow, large numbers in nat are interpreted as\napplications of Init.Nat.of_num_uint. [abstract-large-number,numbers,default]\nFile \".\\FullFormalSpine_13.v\", line 117, characters 0-55:\nWarning: To avoid stack overflow, large numbers in nat are interpreted as\napplications of Init.Nat.of_num_uint. [abstract-large-number,numbers,default]\nFile \".\\FullFormalSpine_13.v\", line 117, characters 0-55:\nWarning: To avoid stack overflow, large numbers in nat are interpreted as\napplications of Init.Nat.of_num_uint. [abstract-large-number,numbers,default]\n" }, { "file": "FullFormalSpine_14.v", "status": "passed", "returncode": 0, "vo_artifact": "I:\\FSOT-Physical-Archive\\02_FSOT-2.1-Lean-Full\\verification\\coq\\FullFormalSpine_14.vo", "coqchk": { "tool": "C:\\Rocq-Platform~9.0~2025.08\\bin\\coqchk.exe", "returncode": 0, "status": "passed" }, "stderr": "" }, { "file": "FullFormalSpine_15.v", "status": "passed", "returncode": 0, "vo_artifact": "I:\\FSOT-Physical-Archive\\02_FSOT-2.1-Lean-Full\\verification\\coq\\FullFormalSpine_15.vo", "coqchk": { "tool": "C:\\Rocq-Platform~9.0~2025.08\\bin\\coqchk.exe", "returncode": 0, "status": "passed" }, "stderr": "" }, { "file": "FullFormalSpine_16.v", "status": "passed", "returncode": 0, "vo_artifact": "I:\\FSOT-Physical-Archive\\02_FSOT-2.1-Lean-Full\\verification\\coq\\FullFormalSpine_16.vo", "coqchk": { "tool": "C:\\Rocq-Platform~9.0~2025.08\\bin\\coqchk.exe", "returncode": 0, "status": "passed" }, "stderr": "" }, { "file": "FullFormalSpine_17.v", "status": "passed", "returncode": 0, "vo_artifact": "I:\\FSOT-Physical-Archive\\02_FSOT-2.1-Lean-Full\\verification\\coq\\FullFormalSpine_17.vo", "coqchk": { "tool": "C:\\Rocq-Platform~9.0~2025.08\\bin\\coqchk.exe", "returncode": 0, "status": "passed" }, "stderr": "" }, { "file": "FullFormalSpine_18.v", "status": "passed", "returncode": 0, "vo_artifact": "I:\\FSOT-Physical-Archive\\02_FSOT-2.1-Lean-Full\\verification\\coq\\FullFormalSpine_18.vo", "coqchk": { "tool": "C:\\Rocq-Platform~9.0~2025.08\\bin\\coqchk.exe", "returncode": 0, "status": "passed" }, "stderr": "" } ] }, "cross_refinement": { "status": "passed", "provable_triangulated_ok": null, "provable_total": 2316, "margin_violations_confirmed": 54 }, "isabelle": { "status": "passed", "tool": "C:\\Users\\damia\\Desktop\\Isabelle2025-2\\bin\\isabelle", "session": "FSOT_CrossProof", "theory_count": 24, "connective_theories": 1, "formal_theory_count": 19, "obligation_scope": "connective_and_full_formal", "provable_obligations": 2316, "chunk_count": 24, "chunks_passed": 24, "chunks": [ { "theory": "ConnectiveSpine", "file": "ConnectiveSpine.thy", "scope": "connective", "obligation_count": 18, "status": "passed" }, { "theory": "StructuralProofSpine", "file": "StructuralProofSpine.thy", "scope": "structural_proof", "obligation_count": 452, "status": "passed" }, { "theory": "TranscendentalBounds_00", "file": "TranscendentalBounds_00.thy", "scope": "transcendental_bounds", "obligation_count": 25, "status": "passed" }, { "theory": "TranscendentalBounds_01", "file": "TranscendentalBounds_01.thy", "scope": "transcendental_bounds", "obligation_count": 25, "status": "passed" }, { "theory": "TranscendentalBounds_02", "file": "TranscendentalBounds_02.thy", "scope": "transcendental_bounds", "obligation_count": 18, "status": "passed" }, { "theory": "FullFormalSpine_00", "file": "FullFormalSpine_00.thy", "scope": "full_formal", "obligation_count": 100, "status": "passed" }, { "theory": "FullFormalSpine_01", "file": "FullFormalSpine_01.thy", "scope": "full_formal", "obligation_count": 100, "status": "passed" }, { "theory": "FullFormalSpine_02", "file": "FullFormalSpine_02.thy", "scope": "full_formal", "obligation_count": 100, "status": "passed" }, { "theory": "FullFormalSpine_03", "file": "FullFormalSpine_03.thy", "scope": "full_formal", "obligation_count": 100, "status": "passed" }, { "theory": "FullFormalSpine_04", "file": "FullFormalSpine_04.thy", "scope": "full_formal", "obligation_count": 100, "status": "passed" }, { "theory": "FullFormalSpine_05", "file": "FullFormalSpine_05.thy", "scope": "full_formal", "obligation_count": 100, "status": "passed" }, { "theory": "FullFormalSpine_06", "file": "FullFormalSpine_06.thy", "scope": "full_formal", "obligation_count": 100, "status": "passed" }, { "theory": "FullFormalSpine_07", "file": "FullFormalSpine_07.thy", "scope": "full_formal", "obligation_count": 100, "status": "passed" }, { "theory": "FullFormalSpine_08", "file": "FullFormalSpine_08.thy", "scope": "full_formal", "obligation_count": 100, "status": "passed" }, { "theory": "FullFormalSpine_09", "file": "FullFormalSpine_09.thy", "scope": "full_formal", "obligation_count": 100, "status": "passed" }, { "theory": "FullFormalSpine_10", "file": "FullFormalSpine_10.thy", "scope": "full_formal", "obligation_count": 100, "status": "passed" }, { "theory": "FullFormalSpine_11", "file": "FullFormalSpine_11.thy", "scope": "full_formal", "obligation_count": 100, "status": "passed" }, { "theory": "FullFormalSpine_12", "file": "FullFormalSpine_12.thy", "scope": "full_formal", "obligation_count": 100, "status": "passed" }, { "theory": "FullFormalSpine_13", "file": "FullFormalSpine_13.thy", "scope": "full_formal", "obligation_count": 100, "status": "passed" }, { "theory": "FullFormalSpine_14", "file": "FullFormalSpine_14.thy", "scope": "full_formal", "obligation_count": 100, "status": "passed" }, { "theory": "FullFormalSpine_15", "file": "FullFormalSpine_15.thy", "scope": "full_formal", "obligation_count": 100, "status": "passed" }, { "theory": "FullFormalSpine_16", "file": "FullFormalSpine_16.thy", "scope": "full_formal", "obligation_count": 100, "status": "passed" }, { "theory": "FullFormalSpine_17", "file": "FullFormalSpine_17.thy", "scope": "full_formal", "obligation_count": 100, "status": "passed" }, { "theory": "FullFormalSpine_18", "file": "FullFormalSpine_18.thy", "scope": "full_formal", "obligation_count": 63, "status": "passed" } ], "build": { "session": "FSOT_CrossProof", "status": "passed", "returncode": 0, "stdout_tail": "0:00:04 elapsed time\n", "stderr": "0:00:04 elapsed time\n" } }, "isabelle_refinement": { "status": "passed", "provable_triangulated_ok": null, "provable_total": 2316, "isabelle_lemmas_indexed": 1863 }, "transcendental_bounds_gap": { "exported_float_obligations_from_bounds": 277, "excluded_pi_e_interval_count": 2, "transcendental_lemma_count": 68, "report": "I:\\FSOT-Physical-Archive\\02_FSOT-2.1-Lean-Full\\data\\transcendental_bounds_gap_report.json" }, "rust_replay": { "status": "passed", "tool": "C:\\Users\\damia\\.cargo\\bin\\cargo.EXE", "crate": "fsot_obligation_replay", "obligation_count": 1955, "formal_count": 1863, "transcendental_count": 68, "test_file": "replay_all_obligations.rs", "returncode": 0, "attempt": 1, "stderr_tail": "\nrunning 1 test\n.\ntest result: ok. 1 passed; 0 failed; 0 ignored; 0 measured; 0 filtered out; finished in 0.00s\n\n" }, "rust_refinement": { "status": "passed", "total_exported_to_rust": 1955, "formal_python_f64_ok": 1863, "transcendental_python_f64_ok": 68 }, "rust_lean_bridge_parity": { "status": "passed", "crate": "fsot_scalar_kernel", "python_boot_scalar": 0.09928895626861721, "benchmark_median_error_pct": 0.0, "returncode": 0, "stderr_tail": "Wrote I:\\FSOT-Physical-Archive\\02_FSOT-2.1-Lean-Full\\data\\rust_lean_bridge_benchmark.json\n records: 9 median_err: 0.0\nRUST_LEAN_BRIDGE RUNTIME PARITY (Tier 85)\n python boot_scalar: 0.09928895626861721 (ok=True)\n cargo: passed\n benchmark median_err: 0.0%\n overall_ok: True\nWrote I:\\FSOT-Physical-Archive\\02_FSOT-2.1-Lean-Full\\data\\rust_lean_bridge_runtime_parity_report.json\n" }, "rust_lean_bridge_refinement": { "status": "passed", "checks": { "python_boot_matches_canonical": true, "summary_boot_matches_canonical": true, "python_summary_agree": true, "k_matches_atlas": true, "boot_scalar_positive": true, "cargo_runtime_passed": true } }, "fstar": { "status": "passed", "tool": "C:\\Users\\damia\\tools\\fstar-v2026.07.05\\bin\\fstar.exe", "entry": "I:\\FSOT-Physical-Archive\\02_FSOT-2.1-Lean-Full\\verification\\fstar\\FSOTScalarBoot.fst", "modules": [ "FSOTScalarKernel", "FSOTScalarBoot" ], "returncode": 0, "stderr_tail": "Verified module: FSOTScalarBoot\nAll verification conditions discharged successfully\n* Warning 241 at I:\\FSOT-Physical-Archive\\02_FSOT-2.1-Lean-Full\\verification\\fstar\\FSOTScalarKernel.fst(0,0-0,0):\n - Unable to load\n I:\\FSOT-Physical-Archive\\02_FSOT-2.1-Lean-Full\\verification\\fstar\\FSOTScalarKernel.fst.checked\n since checked file\n I:\\FSOT-Physical-Archive\\02_FSOT-2.1-Lean-Full\\verification\\fstar\\FSOTScalarKernel.fst.checked\n does not exist; will recheck\n I:\\FSOT-Physical-Archive\\02_FSOT-2.1-Lean-Full\\verification\\fstar\\FSOTScalarKernel.fst\n (suppressing this warning for further modules)\n\n" }, "fstar_refinement": { "status": "passed", "checks": { "fstar_verify_passed": true, "fstar_k_matches_rust": true, "fstar_boot_scalar_canonical_matches": true, "python_boot_matches_fstar_canonical": true, "python_boot_matches_rust_oracle": true, "fstar_boot_params_match": true, "fstar_no_transcendental_assumes": true, "fstar_kernel_expansion_matches_oracle": true } }, "qemu_harness": { "status": "passed", "serial_status": "passed", "disk_status": "passed", "qemu_status": "passed", "returncode": 0, "stderr_tail": "RUST_LEAN_BRIDGE QEMU HARNESS (Tier 87)\n serial: passed boot=0.09928895626861721\n disk: passed boot=0.0992889562686172 disk_boot=ok\n qemu: passed (QEMU emulator version 11.0.50 (v11.0.0-12631-g54e84cdc7a))\n overall_ok: True\nWrote I:\\FSOT-Physical-Archive\\02_FSOT-2.1-Lean-Full\\data\\rust_lean_bridge_qemu_harness_report.json\n" }, "esp32_harness": { "status": "skipped", "reason": "no CP210x COM port (hardware optional)", "build_status": "skipped", "serial_status": "skipped" } }, "proof_debt": { "fstar_transcendental_assumes": [], "fstar_primitives_assumed": [], "transcendental_coq_isabelle": "coq_native_isabelle_native_intervals", "coq_connective_coverage_pct_of_lean_theorems": 1.43, "note": "Cross-proof triangulates exported numeric obligations; F* boot kernel uses oracle literals; Coq/Isabelle pi/e base intervals are native (Isabelle via HOL-Decision_Procs.Approximation)." }, "overall_ok": true, "github_ready": true, "github_ready_note": "Formal numeric spine + QEMU bare-metal verified; 54 structural bundle_conj rows excluded by design; ESP32 hardware is optional unless --require-esp32.", "full_triangulation": true, "four_way_verification": true, "five_way_runtime": true, "six_way_formal_executable": true, "seven_way_bare_metal": true, "eight_way_hardware": false, "esp32_skipped": true, "esp32_serial_ok": false, "esp32_build_ok": false, "note": "Tier 91: Lean+Coq+Isabelle+Rust replay+rust_lean_bridge parity+F* scalar spec + QEMU serial/disk boot + ESP32 RF observer (WiFi/BLE/ESP-NOW) harness." }