{"id": "valid_commutator_001", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[H_0, B_field] = H_0 B_field - B_field H_0", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"B_field\",\"H_0\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"H_0\",\"right\":\"B_field\"}}", "verified": true, "exec_result": "[H_0, B_field] = H_0 B_field - B_field H_0"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "trap_grade_mismatch_028", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"P_polar\",\"S_spin\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"expression\":\"[S_spin,P_polar]\",\"type\":\"anticommutator\"}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 23}}
{"id": "trap_grade_mismatch_048", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"H_int\",\"S_spin\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"expression\": \"[S_spin,H_int]\",\"type\":\"anticommutator\",\"fermionic\":true}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 28}}
{"id": "trap_grade_mismatch_044", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"Q_charge\",\"S_spin\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"expression\":\"Q_charge, S_spin\"}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 15}}
{"id": "trap_undeclared_034", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\": \"init_algebra\", \"payload\": {\"generators\": {\"bosonic\": [\"phi_plasma\"], \"fermionic\": [\"psi_down\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\n  \"action\": \"evaluate_bracket\",\n  \"payload\": {\n    \"expression\": \"psi_down * psi_ghost\",\n    \"context\": \"anticommutator\"\n  }\n}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 90}}
{"id": "trap_undeclared_022", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\": \"init_algebra\", \"payload\": {\"generators\": {\"bosonic\": [\"S_spin\"], \"fermionic\": [\"d_quark\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\n  \"action\": \"evaluate_bracket\",\n  \"payload\": {\n    \"bracket\": \"[A_1 + B_2 * C_3]\"\n  }\n}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 84}}
{"id": "trap_undeclared_015", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\": \"init_algebra\", \"payload\": {\"generators\": {\"bosonic\": [\"P_polar\"], \"fermionic\": [\"c_annih\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\n  \"action\": \"evaluate_bracket\",\n  \"payload\": {\n    \"expression\": \"c_annih @ lambda_fake\",\n    \"context\": \"phase6\"\n  }\n}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 91}}
{"id": "valid_commutator_030", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[A_em, phi_plasma] = A_em phi_plasma - phi_plasma A_em", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"A_em\",\"phi_plasma\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"A_em\",\"right\":\"phi_plasma\"}}", "verified": true, "exec_result": "[A_em, phi_plasma] = A_em phi_plasma - phi_plasma A_em"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "trap_grade_mismatch_031", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"E_field\",\"H_int\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"expression\":\"{H_int,E_field}\",\"relation\":\"anticommute\"}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 23}}
{"id": "trap_grade_mismatch_046", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"B_field\",\"H_int\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"expression\": \"anticommutator(H_int, B_field)\",\"type\": \"fermionic\"}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 27}}
{"id": "valid_commutator_006", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[S_spin, n_density] = S_spin n_density - n_density S_spin", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"S_spin\",\"n_density\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"S_spin\",\"right\":\"n_density\"}}", "verified": true, "exec_result": "[S_spin, n_density] = S_spin n_density - n_density S_spin"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_commutator_023", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[H_int, Q_charge] = H_int Q_charge - Q_charge H_int", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"H_int\",\"Q_charge\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"H_int\",\"right\":\"Q_charge\"}}", "verified": true, "exec_result": "[H_int, Q_charge] = H_int Q_charge - Q_charge H_int"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_commutator_039", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[B_field, phi_plasma] = B_field phi_plasma - phi_plasma B_field", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"B_field\",\"phi_plasma\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"B_field\",\"right\":\"phi_plasma\"}}", "verified": true, "exec_result": "[B_field, phi_plasma] = B_field phi_plasma - phi_plasma B_field"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_commutator_010", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[n_density, T_stress] = n_density T_stress - T_stress n_density", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"T_stress\",\"n_density\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"n_density\",\"right\":\"T_stress\"}}", "verified": true, "exec_result": "[n_density, T_stress] = n_density T_stress - T_stress n_density"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "trap_undeclared_012", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\n \"action\": \"init_algebra\",\n \"payload\": {\n  \"generators\": {\n   \"bosonic\": [\"n_density\"],\n   \"fermionic\": [\"f_lepton\"]\n  }\n }\n}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "```json\n[\n  {\n    \"action\": \"evaluate_bracket\",\n    \"payload\": {\n      \"expression\": \"H_0 * psi_e\",\n      \"variables\": {\n        \"H_0\": \"1.234567890123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678901", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 322}}
{"id": "trap_grade_mismatch_036", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"E_field\",\"T_stress\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"expression\": \"[E_field, T_stress]\",\"type\":\"commutator\"}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 22}}
{"id": "trap_undeclared_002", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\": \"init_algebra\", \"payload\": {\"generators\": {\"bosonic\": [\"n_density\"], \"fermionic\": [\"psi_i\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\n  \"action\": \"evaluate_bracket\",\n  \"payload\": {\n    \"bracket\": \"[n_density * psi_ghost]\",\n    \"context\": \"phase 6\"\n  }\n}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 90}}
{"id": "trap_undeclared_046", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\": \"init_algebra\", \"payload\": {\"generators\": {\"bosonic\": [\"H_int\"], \"fermionic\": [\"psi_ex\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\n  \"action\": \"evaluate_bracket\",\n  \"payload\": {\n    \"expression\": \"psi_ex + psi_ghost\",\n    \"context\": \"physical_interaction\"\n  }\n}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 90}}
{"id": "trap_grade_mismatch_018", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"d_quark\",\"psi_i\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"expression\": \"d_quark, psi_i\"}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 16}}
{"id": "valid_anticommutator_035", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{b_hole, psi_up} = b_hole psi_up + psi_up b_hole", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"b_hole\",\"psi_up\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"b_hole\",\"right\":\"psi_up\"}}", "verified": true, "exec_result": "{b_hole, psi_up} = b_hole psi_up + psi_up b_hole"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_anticommutator_041", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{psi_e, c_annih} = psi_e c_annih + c_annih psi_e", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"c_annih\",\"psi_e\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"psi_e\",\"right\":\"c_annih\"}}", "verified": true, "exec_result": "{psi_e, c_annih} = psi_e c_annih + c_annih psi_e"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_anticommutator_017", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{f_lepton, psi_up} = f_lepton psi_up + psi_up f_lepton", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"f_lepton\",\"psi_up\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"f_lepton\",\"right\":\"psi_up\"}}", "verified": true, "exec_result": "{f_lepton, psi_up} = f_lepton psi_up + psi_up f_lepton"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_anticommutator_030", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{a_electron, b_hole} = a_electron b_hole + b_hole a_electron", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"a_electron\",\"b_hole\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"a_electron\",\"right\":\"b_hole\"}}", "verified": true, "exec_result": "{a_electron, b_hole} = a_electron b_hole + b_hole a_electron"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_anticommutator_038", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{d_quark, c_annih} = d_quark c_annih + c_annih d_quark", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"c_annih\",\"d_quark\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"d_quark\",\"right\":\"c_annih\"}}", "verified": true, "exec_result": "{d_quark, c_annih} = d_quark c_annih + c_annih d_quark"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_anticommutator_050", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{psi_i, psi_up} = psi_i psi_up + psi_up psi_i", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"psi_i\",\"psi_up\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"psi_i\",\"right\":\"psi_up\"}}", "verified": true, "exec_result": "{psi_i, psi_up} = psi_i psi_up + psi_up psi_i"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_commutator_020", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[S_spin, n_density] = S_spin n_density - n_density S_spin", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"S_spin\",\"n_density\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"S_spin\",\"right\":\"n_density\"}}", "verified": true, "exec_result": "[S_spin, n_density] = S_spin n_density - n_density S_spin"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "trap_undeclared_001", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\": \"init_algebra\", \"payload\": {\"generators\": {\"bosonic\": [\"phi_plasma\"], \"fermionic\": [\"d_quark\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\n  \"action\": \"evaluate_bracket\",\n  \"payload\": {\n    \"bracket\": \"[d_quark + xi_aux]\"\n  }\n}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 80}}
{"id": "trap_grade_mismatch_020", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"B_field\",\"P_polar\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"expression\":\"P_polar,B_field\"}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 15}}
{"id": "trap_grade_mismatch_016", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"J_current\",\"Q_charge\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"expression\": \"anticommutator(J_current, Q_charge)\",\"type\": \"fermionic\"}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 27}}
{"id": "trap_undeclared_032", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\": \"init_algebra\", \"payload\": {\"generators\": {\"bosonic\": [\"H_0\"], \"fermionic\": [\"a_electron\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\n  \"action\": \"evaluate_bracket\",\n  \"payload\": {\n    \"bracket\": \"[A_0, B_1, C_2]\"\n  }\n}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 84}}
{"id": "valid_anticommutator_045", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{psi_up, a_electron} = psi_up a_electron + a_electron psi_up", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"a_electron\",\"psi_up\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"psi_up\",\"right\":\"a_electron\"}}", "verified": true, "exec_result": "{psi_up, a_electron} = psi_up a_electron + a_electron psi_up"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_commutator_022", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[J_current, S_spin] = J_current S_spin - S_spin J_current", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"J_current\",\"S_spin\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"J_current\",\"right\":\"S_spin\"}}", "verified": true, "exec_result": "[J_current, S_spin] = J_current S_spin - S_spin J_current"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "trap_grade_mismatch_009", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"b_hole\",\"psi_e\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"expression\": \"[b_hole, psi_e]\" }}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 17}}
{"id": "valid_anticommutator_026", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{b_hole, d_quark} = b_hole d_quark + d_quark b_hole", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"b_hole\",\"d_quark\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"b_hole\",\"right\":\"d_quark\"}}", "verified": true, "exec_result": "{b_hole, d_quark} = b_hole d_quark + d_quark b_hole"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "trap_undeclared_025", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\n \"action\": \"init_algebra\",\n \"payload\": {\n  \"generators\": {\n   \"bosonic\": [\"phi_plasma\"],\n   \"fermionic\": [\"psi_up\"]\n  }\n }\n}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "[JSON HERE]\n\n\n", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 63}}
{"id": "trap_grade_mismatch_041", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"Q_charge\",\"n_density\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"expression\":\"{ Q_charge, n_density }\"}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 17}}
{"id": "trap_undeclared_039", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\": \"init_algebra\", \"payload\": {\"generators\": {\"bosonic\": [\"T_stress\"], \"fermionic\": [\"psi_down\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\n  \"action\": \"add_interaction\",\n  \"payload\": {\n    \"interaction\": \"A_1\",\n    \"context\": \"B_2\"\n  }\n}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 86}}
{"id": "valid_commutator_018", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[phi_plasma, Q_charge] = phi_plasma Q_charge - Q_charge phi_plasma", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"Q_charge\",\"phi_plasma\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"phi_plasma\",\"right\":\"Q_charge\"}}", "verified": true, "exec_result": "[phi_plasma, Q_charge] = phi_plasma Q_charge - Q_charge phi_plasma"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "trap_undeclared_013", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\": \"init_algebra\", \"payload\": {\"generators\": {\"bosonic\": [\"T_stress\"], \"fermionic\": [\"d_creator\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\n  \"action\": \"evaluate_bracket\",\n  \"payload\": {\n    \"bracket\": \"[chi_dark * d_creator]\"\n  }\n}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 80}}
{"id": "valid_commutator_029", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[n_density, A_em] = n_density A_em - A_em n_density", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"A_em\",\"n_density\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"n_density\",\"right\":\"A_em\"}}", "verified": true, "exec_result": "[n_density, A_em] = n_density A_em - A_em n_density"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "trap_grade_mismatch_008", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"b_hole\",\"d_creator\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"left\":\"b_hole\", \"right\":\"d_creator\"}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 18}}
{"id": "valid_anticommutator_036", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{d_quark, c_quark} = d_quark c_quark + c_quark d_quark", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"c_quark\",\"d_quark\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"d_quark\",\"right\":\"c_quark\"}}", "verified": true, "exec_result": "{d_quark, c_quark} = d_quark c_quark + c_quark d_quark"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_commutator_005", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[H_int, T_stress] = H_int T_stress - T_stress H_int", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"H_int\",\"T_stress\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"H_int\",\"right\":\"T_stress\"}}", "verified": true, "exec_result": "[H_int, T_stress] = H_int T_stress - T_stress H_int"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "trap_undeclared_010", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\": \"init_algebra\", \"payload\": {\"generators\": {\"bosonic\": [\"A_em\"], \"fermionic\": [\"psi_down\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\n  \"action\": \"evaluate_bracket\",\n  \"payload\": {\n    \"expression\": \"chi_dark + psi_down\"\n  }\n}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 80}}
{"id": "trap_undeclared_009", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR", "QUAE_SYMBOL_NOT_ALLOWED"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\": \"init_algebra\", \"payload\": {\"generators\": {\"bosonic\": [\"n_density\"], \"fermionic\": [\"c_annih\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\n  \"action\": \"evaluate_bracket\",\n  \"payload\": {\n    \"expression\": \"[n_density, xi_aux]\",\n    \"context\": \"phase_6_quaestro\"\n  }\n}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 147}}
{"id": "valid_anticommutator_003", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{psi_e, psi_up} = psi_e psi_up + psi_up psi_e", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"psi_e\",\"psi_up\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"psi_e\",\"right\":\"psi_up\"}}", "verified": true, "exec_result": "{psi_e, psi_up} = psi_e psi_up + psi_up psi_e"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_anticommutator_047", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{d_creator, psi_i} = d_creator psi_i + psi_i d_creator", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"d_creator\",\"psi_i\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"d_creator\",\"right\":\"psi_i\"}}", "verified": true, "exec_result": "{d_creator, psi_i} = d_creator psi_i + psi_i d_creator"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_commutator_036", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[A_em, J_current] = A_em J_current - J_current A_em", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"A_em\",\"J_current\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"A_em\",\"right\":\"J_current\"}}", "verified": true, "exec_result": "[A_em, J_current] = A_em J_current - J_current A_em"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "trap_grade_mismatch_006", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"c_quark\",\"d_quark\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"expression\":\"d_quark, c_quark\"}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 15}}
{"id": "valid_commutator_004", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[phi_plasma, T_stress] = phi_plasma T_stress - T_stress phi_plasma", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"T_stress\",\"phi_plasma\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"phi_plasma\",\"right\":\"T_stress\"}}", "verified": true, "exec_result": "[phi_plasma, T_stress] = phi_plasma T_stress - T_stress phi_plasma"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "trap_undeclared_031", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\": \"init_algebra\", \"payload\": {\"generators\": {\"bosonic\": [\"S_spin\"], \"fermionic\": [\"f_lepton\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\n  \"action\": \"evaluate_bracket\",\n  \"payload\": {\n    \"expression\": \"S_spin + eta_phantom\",\n    \"context\": \"physical_intent\"\n  }\n}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 91}}
{"id": "trap_undeclared_021", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\n  \"action\": \"init_algebra\",\n  \"payload\": {\n    \"generators\": {\n      \"bosonic\": [\"n_density\"],\n      \"fermionic\": [\"d_quark\"]\n    }\n  }\n}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\n  \"action\": \"evaluate_bracket\",\n  \"payload\": {\n    \"bracket\": \"[A + B * C]\",\n    \"variables\": {\n      \"A\": 123,\n      \"B\": 456,\n      \"C\": 789\n    }\n  }\n}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 136}}
{"id": "valid_anticommutator_006", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{a_electron, psi_up} = a_electron psi_up + psi_up a_electron", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"a_electron\",\"psi_up\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"a_electron\",\"right\":\"psi_up\"}}", "verified": true, "exec_result": "{a_electron, psi_up} = a_electron psi_up + psi_up a_electron"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_commutator_026", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[A_em, H_int] = A_em H_int - H_int A_em", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"A_em\",\"H_int\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"A_em\",\"right\":\"H_int\"}}", "verified": true, "exec_result": "[A_em, H_int] = A_em H_int - H_int A_em"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_commutator_049", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[J_current, A_em] = J_current A_em - A_em J_current", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"A_em\",\"J_current\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"J_current\",\"right\":\"A_em\"}}", "verified": true, "exec_result": "[J_current, A_em] = J_current A_em - A_em J_current"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "trap_grade_mismatch_005", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"E_field\",\"H_int\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"expression\":\"{H_int, E_field}\",\"algebra\":\"previous\"}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 21}}
{"id": "trap_grade_mismatch_029", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"a_electron\",\"d_creator\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"expression\": \"[a_electron, d_creator]\",\"algebra\": {\"generators\": {\"bosonic\": [], \"fermionic\": [\"a_electron\", \"d_creator\"]}}}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 42}}
{"id": "trap_undeclared_014", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\n  \"action\": \"init_algebra\",\n  \"payload\": {\n    \"generators\": {\n      \"bosonic\": [\"E_field\"],\n      \"fermionic\": [\"b_hole\"]\n    }\n  }\n}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "[JSON HERE]\n\n\n", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 66}}
{"id": "trap_undeclared_027", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\": \"init_algebra\", \"payload\": {\"generators\": {\"bosonic\": [\"n_density\"], \"fermionic\": [\"f_lepton\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\n  \"action\": \"evaluate_bracket\",\n  \"payload\": {\n    \"bracket\": \"[n_density * xi_aux]\",\n    \"context\": \"final_result\"\n  }\n}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 91}}
{"id": "valid_commutator_009", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[A_em, J_current] = A_em J_current - J_current A_em", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"A_em\",\"J_current\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"A_em\",\"right\":\"J_current\"}}", "verified": true, "exec_result": "[A_em, J_current] = A_em J_current - J_current A_em"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "trap_undeclared_040", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\n  \"action\": \"init_algebra\",\n  \"payload\": {\n    \"generators\": {\n      \"bosonic\": [\"T_stress\"],\n      \"fermionic\": [\"b_hole\"]\n    }\n  }\n}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "[JSON OUTPUT HERE]\n\n\n", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 67}}
{"id": "valid_anticommutator_019", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{a_electron, psi_up} = a_electron psi_up + psi_up a_electron", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"a_electron\",\"psi_up\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"a_electron\",\"right\":\"psi_up\"}}", "verified": true, "exec_result": "{a_electron, psi_up} = a_electron psi_up + psi_up a_electron"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_anticommutator_005", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{psi_up, psi_ex} = psi_up psi_ex + psi_ex psi_up", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"psi_ex\",\"psi_up\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"psi_up\",\"right\":\"psi_ex\"}}", "verified": true, "exec_result": "{psi_up, psi_ex} = psi_up psi_ex + psi_ex psi_up"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_commutator_002", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[P_polar, T_stress] = P_polar T_stress - T_stress P_polar", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"P_polar\",\"T_stress\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"P_polar\",\"right\":\"T_stress\"}}", "verified": true, "exec_result": "[P_polar, T_stress] = P_polar T_stress - T_stress P_polar"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "trap_grade_mismatch_010", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"psi_e\",\"psi_up\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"expression\":\"[psi_up, psi_e]\",\n\"algebra\":\"bosonic\"\n}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 26}}
{"id": "valid_anticommutator_011", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{d_creator, psi_e} = d_creator psi_e + psi_e d_creator", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"d_creator\",\"psi_e\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"d_creator\",\"right\":\"psi_e\"}}", "verified": true, "exec_result": "{d_creator, psi_e} = d_creator psi_e + psi_e d_creator"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_anticommutator_043", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{psi_i, c_annih} = psi_i c_annih + c_annih psi_i", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"c_annih\",\"psi_i\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"psi_i\",\"right\":\"c_annih\"}}", "verified": true, "exec_result": "{psi_i, c_annih} = psi_i c_annih + c_annih psi_i"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_commutator_037", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[n_density, Q_charge] = n_density Q_charge - Q_charge n_density", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"Q_charge\",\"n_density\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"n_density\",\"right\":\"Q_charge\"}}", "verified": true, "exec_result": "[n_density, Q_charge] = n_density Q_charge - Q_charge n_density"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_anticommutator_020", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{psi_e, a_electron} = psi_e a_electron + a_electron psi_e", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"a_electron\",\"psi_e\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"psi_e\",\"right\":\"a_electron\"}}", "verified": true, "exec_result": "{psi_e, a_electron} = psi_e a_electron + a_electron psi_e"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_anticommutator_046", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{psi_down, c_annih} = psi_down c_annih + c_annih psi_down", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"c_annih\",\"psi_down\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"psi_down\",\"right\":\"c_annih\"}}", "verified": true, "exec_result": "{psi_down, c_annih} = psi_down c_annih + c_annih psi_down"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_commutator_046", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[A_em, phi_plasma] = A_em phi_plasma - phi_plasma A_em", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"A_em\",\"phi_plasma\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"A_em\",\"right\":\"phi_plasma\"}}", "verified": true, "exec_result": "[A_em, phi_plasma] = A_em phi_plasma - phi_plasma A_em"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_commutator_028", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[A_em, S_spin] = A_em S_spin - S_spin A_em", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"A_em\",\"S_spin\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"A_em\",\"right\":\"S_spin\"}}", "verified": true, "exec_result": "[A_em, S_spin] = A_em S_spin - S_spin A_em"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "trap_grade_mismatch_040", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"d_creator\",\"f_lepton\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"expression\": \"[f_lepton, d_creator]\",\"algebra\":\"bosonic\"}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 23}}
{"id": "valid_anticommutator_009", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{c_quark, psi_ex} = c_quark psi_ex + psi_ex c_quark", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"c_quark\",\"psi_ex\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"c_quark\",\"right\":\"psi_ex\"}}", "verified": true, "exec_result": "{c_quark, psi_ex} = c_quark psi_ex + psi_ex c_quark"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "trap_grade_mismatch_012", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"b_hole\",\"c_annih\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"left\":\"b_hole\", \"right\":\"c_annih\"}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 19}}
{"id": "trap_grade_mismatch_011", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"H_int\",\"n_density\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"expression\":\"{n_density,H_int}\",\"type\":\"anticommutator\"}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 23}}
{"id": "trap_undeclared_043", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\": \"init_algebra\", \"payload\": {\"generators\": {\"bosonic\": [\"S_spin\"], \"fermionic\": [\"psi_e\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\n  \"action\": \"evaluate_bracket\",\n  \"payload\": {\n    \"expression\": \"S_spin + xi_aux\"\n  }\n}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 80}}
{"id": "valid_commutator_003", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[E_field, A_em] = E_field A_em - A_em E_field", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"A_em\",\"E_field\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"E_field\",\"right\":\"A_em\"}}", "verified": true, "exec_result": "[E_field, A_em] = E_field A_em - A_em E_field"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_anticommutator_031", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{a_electron, psi_ex} = a_electron psi_ex + psi_ex a_electron", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"a_electron\",\"psi_ex\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"a_electron\",\"right\":\"psi_ex\"}}", "verified": true, "exec_result": "{a_electron, psi_ex} = a_electron psi_ex + psi_ex a_electron"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "trap_undeclared_050", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\n  \"action\": \"init_algebra\",\n  \"payload\": {\n    \"generators\": {\n      \"bosonic\": [\"phi_plasma\"],\n      \"fermionic\": [\"d_quark\"]\n    }\n  }\n}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\n  \"action\": \"evaluate_bracket\",\n  \"payload\": {\n    \"bracket\": \"[d_quark * xi_aux]\"\n  }\n}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 100}}
{"id": "valid_anticommutator_034", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{f_lepton, d_quark} = f_lepton d_quark + d_quark f_lepton", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"d_quark\",\"f_lepton\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"f_lepton\",\"right\":\"d_quark\"}}", "verified": true, "exec_result": "{f_lepton, d_quark} = f_lepton d_quark + d_quark f_lepton"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "trap_undeclared_003", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "", "trap_hits": ["QUAE_SYMBOL_NOT_ALLOWED"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\": \"init_algebra\", \"payload\": {\"generators\": {\"bosonic\": [\"H_0\"], \"fermionic\": [\"psi_e\"]}}}", "verified": true, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 92}}
{"id": "trap_undeclared_008", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\n  \"action\": \"init_algebra\",\n  \"payload\": {\n    \"generators\": {\n      \"bosonic\": [\"S_spin\"],\n      \"fermionic\": [\"psi_ex\"]\n    }\n  }\n}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "[JSON CONTENT HERE]\n\n\n", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 67}}
{"id": "valid_anticommutator_014", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{d_quark, c_quark} = d_quark c_quark + c_quark d_quark", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"c_quark\",\"d_quark\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"d_quark\",\"right\":\"c_quark\"}}", "verified": true, "exec_result": "{d_quark, c_quark} = d_quark c_quark + c_quark d_quark"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_anticommutator_040", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{c_quark, f_lepton} = c_quark f_lepton + f_lepton c_quark", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"c_quark\",\"f_lepton\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"c_quark\",\"right\":\"f_lepton\"}}", "verified": true, "exec_result": "{c_quark, f_lepton} = c_quark f_lepton + f_lepton c_quark"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_commutator_025", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[J_current, n_density] = J_current n_density - n_density J_current", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"J_current\",\"n_density\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"J_current\",\"right\":\"n_density\"}}", "verified": true, "exec_result": "[J_current, n_density] = J_current n_density - n_density J_current"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "trap_grade_mismatch_045", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"c_quark\",\"d_quark\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"expression\":\"[d_quark, c_quark]\" }}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 17}}
{"id": "valid_anticommutator_024", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{f_lepton, c_quark} = f_lepton c_quark + c_quark f_lepton", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"c_quark\",\"f_lepton\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"f_lepton\",\"right\":\"c_quark\"}}", "verified": true, "exec_result": "{f_lepton, c_quark} = f_lepton c_quark + c_quark f_lepton"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "trap_grade_mismatch_019", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"c_annih\",\"psi_down\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"expression\": \"[c_annih, psi_down]\",\"algebra\": {\"generators\": {\"bosonic\": [\"c_annih\", \"psi_down\"], \"fermionic\": []}}}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 44}}
{"id": "trap_undeclared_044", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\": \"init_algebra\", \"payload\": {\"generators\": {\"bosonic\": [\"H_int\"], \"fermionic\": [\"f_lepton\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\n  \"action\": \"evaluate_bracket\",\n  \"payload\": {\n    \"bracket\": \"[H_int * omega_spur]\"\n  }\n}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 81}}
{"id": "valid_anticommutator_049", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{c_annih, d_quark} = c_annih d_quark + d_quark c_annih", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"c_annih\",\"d_quark\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"c_annih\",\"right\":\"d_quark\"}}", "verified": true, "exec_result": "{c_annih, d_quark} = c_annih d_quark + d_quark c_annih"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "trap_undeclared_026", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\n \"action\": \"init_algebra\",\n \"payload\": {\n  \"generators\": {\n   \"bosonic\": [\"n_density\"],\n   \"fermionic\": [\"psi_i\"]\n  }\n }\n}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\n\"action\": \"evaluate_bracket\",\n\"payload\": {\n\"left_bracket\": \"psi_i\",\n\"right_bracket\": \"chi_dark\"\n}\n}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 108}}
{"id": "valid_anticommutator_029", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{f_lepton, psi_up} = f_lepton psi_up + psi_up f_lepton", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"f_lepton\",\"psi_up\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"f_lepton\",\"right\":\"psi_up\"}}", "verified": true, "exec_result": "{f_lepton, psi_up} = f_lepton psi_up + psi_up f_lepton"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_commutator_050", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[J_current, E_field] = J_current E_field - E_field J_current", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"E_field\",\"J_current\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"J_current\",\"right\":\"E_field\"}}", "verified": true, "exec_result": "[J_current, E_field] = J_current E_field - E_field J_current"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_commutator_038", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[E_field, A_em] = E_field A_em - A_em E_field", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"A_em\",\"E_field\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"E_field\",\"right\":\"A_em\"}}", "verified": true, "exec_result": "[E_field, A_em] = E_field A_em - A_em E_field"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_commutator_007", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[P_polar, A_em] = P_polar A_em - A_em P_polar", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"A_em\",\"P_polar\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"P_polar\",\"right\":\"A_em\"}}", "verified": true, "exec_result": "[P_polar, A_em] = P_polar A_em - A_em P_polar"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_commutator_013", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[S_spin, E_field] = S_spin E_field - E_field S_spin", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"E_field\",\"S_spin\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"S_spin\",\"right\":\"E_field\"}}", "verified": true, "exec_result": "[S_spin, E_field] = S_spin E_field - E_field S_spin"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "trap_grade_mismatch_037", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"d_creator\",\"psi_e\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"expression\": \"[psi_e, d_creator]\",\"algebra\": \"previous\"}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 22}}
{"id": "trap_grade_mismatch_024", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"A_em\",\"H_int\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"expression\":\"{H_int, A_em}\",\"algebra\":\"previous\"}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 21}}
{"id": "trap_grade_mismatch_017", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"d_quark\",\"psi_ex\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"expression\": \"[d_quark, psi_ex]\",\"algebra\": \"previous\"}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 22}}
{"id": "valid_commutator_035", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[T_stress, H_int] = T_stress H_int - H_int T_stress", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"H_int\",\"T_stress\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"T_stress\",\"right\":\"H_int\"}}", "verified": true, "exec_result": "[T_stress, H_int] = T_stress H_int - H_int T_stress"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "trap_grade_mismatch_004", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"E_field\",\"H_int\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"expression\": \"{ E_field, H_int }\"}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 17}}
{"id": "trap_grade_mismatch_047", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"psi_ex\",\"psi_i\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"expression\": \"[psi_ex, psi_i]\",\"algebra\": \"previous\"}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 22}}
{"id": "valid_commutator_031", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[phi_plasma, T_stress] = phi_plasma T_stress - T_stress phi_plasma", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"T_stress\",\"phi_plasma\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"phi_plasma\",\"right\":\"T_stress\"}}", "verified": true, "exec_result": "[phi_plasma, T_stress] = phi_plasma T_stress - T_stress phi_plasma"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "trap_grade_mismatch_038", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"Q_charge\",\"T_stress\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"expression\":\"{T_stress, Q_charge}\",\"algebra_id\":\"initial_algebra\"}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 25}}
{"id": "valid_commutator_014", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[E_field, n_density] = E_field n_density - n_density E_field", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"E_field\",\"n_density\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"E_field\",\"right\":\"n_density\"}}", "verified": true, "exec_result": "[E_field, n_density] = E_field n_density - n_density E_field"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_anticommutator_022", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{psi_e, d_quark} = psi_e d_quark + d_quark psi_e", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"d_quark\",\"psi_e\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"psi_e\",\"right\":\"d_quark\"}}", "verified": true, "exec_result": "{psi_e, d_quark} = psi_e d_quark + d_quark psi_e"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_anticommutator_016", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{psi_ex, c_quark} = psi_ex c_quark + c_quark psi_ex", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"c_quark\",\"psi_ex\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"psi_ex\",\"right\":\"c_quark\"}}", "verified": true, "exec_result": "{psi_ex, c_quark} = psi_ex c_quark + c_quark psi_ex"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_commutator_048", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[A_em, S_spin] = A_em S_spin - S_spin A_em", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"A_em\",\"S_spin\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"A_em\",\"right\":\"S_spin\"}}", "verified": true, "exec_result": "[A_em, S_spin] = A_em S_spin - S_spin A_em"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_anticommutator_048", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{psi_e, a_electron} = psi_e a_electron + a_electron psi_e", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"a_electron\",\"psi_e\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"psi_e\",\"right\":\"a_electron\"}}", "verified": true, "exec_result": "{psi_e, a_electron} = psi_e a_electron + a_electron psi_e"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_commutator_017", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[n_density, H_0] = n_density H_0 - H_0 n_density", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"H_0\",\"n_density\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"n_density\",\"right\":\"H_0\"}}", "verified": true, "exec_result": "[n_density, H_0] = n_density H_0 - H_0 n_density"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_anticommutator_002", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{psi_down, psi_up} = psi_down psi_up + psi_up psi_down", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"psi_down\",\"psi_up\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"psi_down\",\"right\":\"psi_up\"}}", "verified": true, "exec_result": "{psi_down, psi_up} = psi_down psi_up + psi_up psi_down"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_commutator_045", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[H_0, Q_charge] = H_0 Q_charge - Q_charge H_0", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"H_0\",\"Q_charge\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"H_0\",\"right\":\"Q_charge\"}}", "verified": true, "exec_result": "[H_0, Q_charge] = H_0 Q_charge - Q_charge H_0"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "trap_undeclared_018", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\n \"action\": \"init_algebra\",\n \"payload\": {\n  \"generators\": {\n   \"bosonic\": [\"P_polar\"],\n   \"fermionic\": [\"d_creator\"]\n  }\n }\n}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "[JSON HERE]\n\n\n", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 63}}
{"id": "valid_anticommutator_044", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{psi_ex, psi_down} = psi_ex psi_down + psi_down psi_ex", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"psi_down\",\"psi_ex\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"psi_ex\",\"right\":\"psi_down\"}}", "verified": true, "exec_result": "{psi_ex, psi_down} = psi_ex psi_down + psi_down psi_ex"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "trap_undeclared_019", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\": \"init_algebra\", \"payload\": {\"generators\": {\"bosonic\": [\"P_polar\"], \"fermionic\": [\"psi_ex\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\n  \"action\": \"evaluate_bracket\",\n  \"payload\": {\n    \"expression\": \"P_polar + eta_phantom\",\n    \"context\": \"physical_intent\"\n  }\n}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 90}}
{"id": "valid_anticommutator_042", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{b_hole, c_annih} = b_hole c_annih + c_annih b_hole", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"b_hole\",\"c_annih\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"b_hole\",\"right\":\"c_annih\"}}", "verified": true, "exec_result": "{b_hole, c_annih} = b_hole c_annih + c_annih b_hole"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "trap_grade_mismatch_027", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"S_spin\",\"n_density\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"expression\": \"{n_density, S_spin}\",\"algebra\": \"previous\"}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 22}}
{"id": "trap_undeclared_038", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\": \"init_algebra\", \"payload\": {\"generators\": {\"bosonic\": [\"S_spin\"], \"fermionic\": [\"b_hole\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\n  \"action\": \"evaluate_bracket\",\n  \"payload\": {\n    \"expression\": \"S_spin * psi_phonon\",\n    \"context\": \"phase_6_quaestro\"\n  }\n}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 94}}
{"id": "trap_undeclared_030", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\": \"init_algebra\", \"payload\": {\"generators\": {\"bosonic\": [\"P_polar\"], \"fermionic\": [\"c_annih\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\n  \"action\": \"evaluate_bracket\",\n  \"payload\": {\n    \"bracket\": \"[chi_dark * c_annih]\"\n  }\n}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 82}}
{"id": "trap_undeclared_036", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\": \"init_algebra\", \"payload\": {\"generators\": {\"bosonic\": [\"E_field\"], \"fermionic\": [\"psi_i\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\n  \"action\": \"evaluate_bracket\",\n  \"payload\": {\n    \"expression\": \"[E_field, psi_phonon]\",\n    \"context\": \"phase6\"\n  }\n}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 90}}
{"id": "trap_grade_mismatch_030", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"B_field\",\"T_stress\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"expression\":\"B_field\",\"operator\":\"anticommutator\",\"other\":\"T_stress\"}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 23}}
{"id": "valid_commutator_027", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[S_spin, H_0] = S_spin H_0 - H_0 S_spin", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"H_0\",\"S_spin\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"S_spin\",\"right\":\"H_0\"}}", "verified": true, "exec_result": "[S_spin, H_0] = S_spin H_0 - H_0 S_spin"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_anticommutator_010", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{a_electron, d_creator} = a_electron d_creator + d_creator a_electron", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"a_electron\",\"d_creator\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"a_electron\",\"right\":\"d_creator\"}}", "verified": true, "exec_result": "{a_electron, d_creator} = a_electron d_creator + d_creator a_electron"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_anticommutator_012", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{psi_up, c_quark} = psi_up c_quark + c_quark psi_up", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"c_quark\",\"psi_up\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"psi_up\",\"right\":\"c_quark\"}}", "verified": true, "exec_result": "{psi_up, c_quark} = psi_up c_quark + c_quark psi_up"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "trap_undeclared_041", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\n \"action\": \"init_algebra\",\n \"payload\": {\n  \"generators\": {\n   \"bosonic\": [\"Q_charge\"],\n   \"fermionic\": [\"d_creator\"]\n  }\n }\n}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "[JSON INTENT]\n", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 64}}
{"id": "valid_anticommutator_007", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{b_hole, c_annih} = b_hole c_annih + c_annih b_hole", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"b_hole\",\"c_annih\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"b_hole\",\"right\":\"c_annih\"}}", "verified": true, "exec_result": "{b_hole, c_annih} = b_hole c_annih + c_annih b_hole"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_commutator_041", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[S_spin, Q_charge] = S_spin Q_charge - Q_charge S_spin", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"Q_charge\",\"S_spin\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"S_spin\",\"right\":\"Q_charge\"}}", "verified": true, "exec_result": "[S_spin, Q_charge] = S_spin Q_charge - Q_charge S_spin"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_commutator_016", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[J_current, H_int] = J_current H_int - H_int J_current", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"H_int\",\"J_current\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"J_current\",\"right\":\"H_int\"}}", "verified": true, "exec_result": "[J_current, H_int] = J_current H_int - H_int J_current"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "trap_grade_mismatch_039", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"S_spin\",\"T_stress\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"expression\":\"[S_spin,T_stress]\",\"type\":\"anticommutator\"}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 23}}
{"id": "trap_undeclared_017", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\": \"init_algebra\", \"payload\": {\"generators\": {\"bosonic\": [\"H_0\"], \"fermionic\": [\"psi_e\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\n  \"action\": \"evaluate_bracket\",\n  \"payload\": {\n    \"expression\": \"psi_e * omega_spur\",\n    \"context\": \"final_result\"\n  }\n}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 90}}
{"id": "valid_anticommutator_027", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{psi_down, psi_e} = psi_down psi_e + psi_e psi_down", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"psi_down\",\"psi_e\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"psi_down\",\"right\":\"psi_e\"}}", "verified": true, "exec_result": "{psi_down, psi_e} = psi_down psi_e + psi_e psi_down"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "trap_undeclared_004", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\n  \"action\": \"init_algebra\",\n  \"payload\": {\n    \"generators\": {\n      \"bosonic\": [\"H_int\"],\n      \"fermionic\": [\"b_hole\"]\n    }\n  }\n}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "[JSON HERE]\n\n\n", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 66}}
{"id": "valid_anticommutator_013", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{psi_down, psi_up} = psi_down psi_up + psi_up psi_down", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"psi_down\",\"psi_up\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"psi_down\",\"right\":\"psi_up\"}}", "verified": true, "exec_result": "{psi_down, psi_up} = psi_down psi_up + psi_up psi_down"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "trap_undeclared_024", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\": \"init_algebra\", \"payload\": {\"generators\": {\"bosonic\": [\"B_field\"], \"fermionic\": [\"b_hole\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\n  \"action\": \"evaluate_bracket\",\n  \"payload\": {\n    \"left\": \"b_hole\",\n    \"right\": \"psi_ghost\",\n    \"operator\": \"anticommutator\"\n  }\n}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 96}}
{"id": "trap_grade_mismatch_007", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"c_annih\",\"psi_down\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"expression\": \"[psi_down, c_annih]\",\"algebra\": {\"generators\": {\"bosonic\": [], \"fermionic\": [\"c_annih\", \"psi_down\"]}}}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 44}}
{"id": "valid_anticommutator_025", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{psi_down, psi_ex} = psi_down psi_ex + psi_ex psi_down", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"psi_down\",\"psi_ex\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"psi_down\",\"right\":\"psi_ex\"}}", "verified": true, "exec_result": "{psi_down, psi_ex} = psi_down psi_ex + psi_ex psi_down"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "trap_undeclared_028", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\n \"action\": \"init_algebra\",\n \"payload\": {\n  \"generators\": {\n   \"bosonic\": [\"P_polar\"],\n   \"fermionic\": [\"c_quark\"]\n  }\n }\n}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "[JSON INTENT]\n```json\n{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_expression\":\"[P_polar, psi_phonon]\",\"variables\": {\"P_polar\":\"P_polar\",\"psi_phonon\":\"psi_phonon\",\"H_0\":\"H_0\",\"psi_e\":\"psi_e\",\"c_quark\":\"c_quark\",\"P_polar\":\"P_polar\",\"psi_phonon\":\"psi_phonon\",\"c_quark\":\"c_quark\",\"P_polar\":\"P_polar\",\"psi_phonon\":\"psi_phonon\",\"c_quark\":\"c_quark\",\"P_polar\":\"P_polar\",\"psi_phonon\":\"psi_phonon\",\"c_quark\":\"c_quark\",\"P_polar\":\"P_polar\",\"psi_phonon\":\"psi_phonon\",\"c_quark\":\"c_quark\",\"P_polar\":\"P_polar\",\"psi_phonon\":\"psi_phonon\",\"c_quark\":\"c_quark\",\"P_polar\":\"P_polar\",\"psi_phonon\":\"psi_phonon\",\"c_quark\":\"c_quark\",\"P_polar\":\"P_polar\",\"psi_phonon\":\"psi_phonon\",\"c_quark\":\"c_quark\",\"P_polar\":\"P_", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 324}}
{"id": "trap_undeclared_047", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\n  \"action\": \"init_algebra\",\n  \"payload\": {\n    \"generators\": {\n      \"bosonic\": [\"S_spin\"],\n      \"fermionic\": [\"f_lepton\"]\n    }\n  }\n}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\n  \"action\": \"evaluate_bracket\",\n  \"payload\": {\n    \"expression\": \"[A_0] + [B_1] - [C_2]\",\n    \"variables\": {\n      \"A\": {\n        \"value\": 12.345,\n        \"unit\": \"m\"\n      },\n      \"B\": {\n        \"value\": 6.789,\n        \"unit\": \"kg\"\n      },\n      \"C\": {\n        \"value\": 4.567,\n        \"unit\": \"s\"\n      }\n    }\n  }\n}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 206}}
{"id": "trap_undeclared_007", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\n \"action\": \"init_algebra\",\n \"payload\": {\n  \"generators\": {\n   \"bosonic\": [\"H_0\"],\n   \"fermionic\": [\"c_quark\"]\n  }\n }\n}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"left_bracket\":\"c_quark\",\"right_bracket\":\"xi_aux\"}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 92}}
{"id": "valid_anticommutator_004", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{d_creator, psi_i} = d_creator psi_i + psi_i d_creator", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"d_creator\",\"psi_i\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"d_creator\",\"right\":\"psi_i\"}}", "verified": true, "exec_result": "{d_creator, psi_i} = d_creator psi_i + psi_i d_creator"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_anticommutator_018", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{psi_down, psi_e} = psi_down psi_e + psi_e psi_down", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"psi_down\",\"psi_e\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"psi_down\",\"right\":\"psi_e\"}}", "verified": true, "exec_result": "{psi_down, psi_e} = psi_down psi_e + psi_e psi_down"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_commutator_012", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[J_current, n_density] = J_current n_density - n_density J_current", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"J_current\",\"n_density\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"J_current\",\"right\":\"n_density\"}}", "verified": true, "exec_result": "[J_current, n_density] = J_current n_density - n_density J_current"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "trap_grade_mismatch_013", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"J_current\",\"P_polar\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"expression\": \"{ J_current, P_polar }\"}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 17}}
{"id": "valid_commutator_008", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[H_int, T_stress] = H_int T_stress - T_stress H_int", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"H_int\",\"T_stress\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"H_int\",\"right\":\"T_stress\"}}", "verified": true, "exec_result": "[H_int, T_stress] = H_int T_stress - T_stress H_int"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_commutator_011", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[Q_charge, T_stress] = Q_charge T_stress - T_stress Q_charge", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"Q_charge\",\"T_stress\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"Q_charge\",\"right\":\"T_stress\"}}", "verified": true, "exec_result": "[Q_charge, T_stress] = Q_charge T_stress - T_stress Q_charge"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "trap_undeclared_045", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\": \"init_algebra\", \"payload\": {\"generators\": {\"bosonic\": [\"H_0\"], \"fermionic\": [\"psi_ex\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\n  \"action\": \"evaluate_bracket\",\n  \"payload\": {\n    \"bracket\": \"[A_0 + B_1 * C_2]\"\n  }\n}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 84}}
{"id": "valid_anticommutator_037", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{psi_up, c_annih} = psi_up c_annih + c_annih psi_up", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"c_annih\",\"psi_up\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"psi_up\",\"right\":\"c_annih\"}}", "verified": true, "exec_result": "{psi_up, c_annih} = psi_up c_annih + c_annih psi_up"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "trap_grade_mismatch_003", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"b_hole\",\"psi_down\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"expression\": \"psi_down, b_hole\"}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 16}}
{"id": "trap_grade_mismatch_022", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"P_polar\",\"phi_plasma\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"expression\":\"{ P_polar, phi_plasma }\"}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 17}}
{"id": "trap_undeclared_049", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\n \"action\": \"init_algebra\",\n \"payload\": {\n  \"generators\": {\n   \"bosonic\": [\"J_current\"],\n   \"fermionic\": [\"d_creator\"]\n  }\n }\n}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "[\n]", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 61}}
{"id": "trap_grade_mismatch_002", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"J_current\",\"S_spin\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"expression\":\"{S_spin, J_current}\",\"algebra_id\":\"6\"}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 23}}
{"id": "valid_commutator_044", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[Q_charge, P_polar] = Q_charge P_polar - P_polar Q_charge", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"P_polar\",\"Q_charge\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"Q_charge\",\"right\":\"P_polar\"}}", "verified": true, "exec_result": "[Q_charge, P_polar] = Q_charge P_polar - P_polar Q_charge"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "trap_grade_mismatch_026", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"J_current\",\"Q_charge\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"expression\":\"{ J_current, Q_charge }\"}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 17}}
{"id": "valid_commutator_024", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[A_em, H_int] = A_em H_int - H_int A_em", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"A_em\",\"H_int\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"A_em\",\"right\":\"H_int\"}}", "verified": true, "exec_result": "[A_em, H_int] = A_em H_int - H_int A_em"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "trap_undeclared_037", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\": \"init_algebra\", \"payload\": {\"generators\": {\"bosonic\": [\"S_spin\"], \"fermionic\": [\"d_creator\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\n  \"action\": \"evaluate_bracket\",\n  \"payload\": {\n    \"bracket\": \"[d_creator, xi_aux]\",\n    \"context\": \"PHASE 6 — QUAESTRO JSON INTENT\"\n  }\n}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 97}}
{"id": "trap_grade_mismatch_021", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"A_em\",\"Q_charge\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"expression\":\"{A_em, Q_charge}\",\"algebra_id\":\"PHASE 6\"} }", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 26}}
{"id": "trap_grade_mismatch_033", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"A_em\",\"Q_charge\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"expression\": \"[Q_charge, A_em]\",\"algebra\": \"bosonic\"}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 23}}
{"id": "valid_anticommutator_021", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{a_electron, psi_down} = a_electron psi_down + psi_down a_electron", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"a_electron\",\"psi_down\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"a_electron\",\"right\":\"psi_down\"}}", "verified": true, "exec_result": "{a_electron, psi_down} = a_electron psi_down + psi_down a_electron"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "trap_grade_mismatch_032", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"H_0\",\"J_current\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"expression\": \"H_0\", \"type\": \"fermionic\", \"operator\": \"anticommute\"}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 27}}
{"id": "valid_anticommutator_001", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{psi_down, d_quark} = psi_down d_quark + d_quark psi_down", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"d_quark\",\"psi_down\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"psi_down\",\"right\":\"d_quark\"}}", "verified": true, "exec_result": "{psi_down, d_quark} = psi_down d_quark + d_quark psi_down"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_anticommutator_015", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{c_annih, d_quark} = c_annih d_quark + d_quark c_annih", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"c_annih\",\"d_quark\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"c_annih\",\"right\":\"d_quark\"}}", "verified": true, "exec_result": "{c_annih, d_quark} = c_annih d_quark + d_quark c_annih"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_commutator_021", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[B_field, E_field] = B_field E_field - E_field B_field", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"B_field\",\"E_field\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"B_field\",\"right\":\"E_field\"}}", "verified": true, "exec_result": "[B_field, E_field] = B_field E_field - E_field B_field"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_anticommutator_023", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{a_electron, d_quark} = a_electron d_quark + d_quark a_electron", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"a_electron\",\"d_quark\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"a_electron\",\"right\":\"d_quark\"}}", "verified": true, "exec_result": "{a_electron, d_quark} = a_electron d_quark + d_quark a_electron"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "trap_grade_mismatch_023", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"E_field\",\"H_int\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"expression\": \"{ E_field, H_int }\"}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 17}}
{"id": "trap_grade_mismatch_050", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"psi_ex\",\"psi_up\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"expression\": \"[psi_up, psi_ex]\",\"algebra\": {\"generators\": {\"bosonic\": [], \"fermionic\": [\"psi_ex\", \"psi_up\"]}}}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 42}}
{"id": "valid_anticommutator_008", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{d_quark, psi_up} = d_quark psi_up + psi_up d_quark", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"d_quark\",\"psi_up\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"d_quark\",\"right\":\"psi_up\"}}", "verified": true, "exec_result": "{d_quark, psi_up} = d_quark psi_up + psi_up d_quark"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_anticommutator_033", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{psi_e, b_hole} = psi_e b_hole + b_hole psi_e", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"b_hole\",\"psi_e\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"psi_e\",\"right\":\"b_hole\"}}", "verified": true, "exec_result": "{psi_e, b_hole} = psi_e b_hole + b_hole psi_e"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_commutator_042", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[J_current, T_stress] = J_current T_stress - T_stress J_current", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"J_current\",\"T_stress\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"J_current\",\"right\":\"T_stress\"}}", "verified": true, "exec_result": "[J_current, T_stress] = J_current T_stress - T_stress J_current"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_commutator_043", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[phi_plasma, n_density] = phi_plasma n_density - n_density phi_plasma", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"n_density\",\"phi_plasma\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"phi_plasma\",\"right\":\"n_density\"}}", "verified": true, "exec_result": "[phi_plasma, n_density] = phi_plasma n_density - n_density phi_plasma"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_anticommutator_028", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{psi_down, d_creator} = psi_down d_creator + d_creator psi_down", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"d_creator\",\"psi_down\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"psi_down\",\"right\":\"d_creator\"}}", "verified": true, "exec_result": "{psi_down, d_creator} = psi_down d_creator + d_creator psi_down"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_commutator_040", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[phi_plasma, B_field] = phi_plasma B_field - B_field phi_plasma", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"B_field\",\"phi_plasma\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"phi_plasma\",\"right\":\"B_field\"}}", "verified": true, "exec_result": "[phi_plasma, B_field] = phi_plasma B_field - B_field phi_plasma"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "trap_grade_mismatch_049", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"A_em\",\"H_int\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"expression\":\"[H_int,A_em]\",\"algebra\":\"generated\"}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 21}}
{"id": "valid_commutator_032", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[S_spin, E_field] = S_spin E_field - E_field S_spin", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"E_field\",\"S_spin\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"S_spin\",\"right\":\"E_field\"}}", "verified": true, "exec_result": "[S_spin, E_field] = S_spin E_field - E_field S_spin"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_commutator_015", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[P_polar, H_int] = P_polar H_int - H_int P_polar", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"H_int\",\"P_polar\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"P_polar\",\"right\":\"H_int\"}}", "verified": true, "exec_result": "[P_polar, H_int] = P_polar H_int - H_int P_polar"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "trap_undeclared_029", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\n \"action\": \"init_algebra\",\n \"payload\": {\n  \"generators\": {\n   \"bosonic\": [\"n_density\"],\n   \"fermionic\": [\"psi_i\"]\n  }\n }\n}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "[JSON INTENT]\n[END JSON INTENT]\n\n\n", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 71}}
{"id": "trap_undeclared_011", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\n \"action\": \"init_algebra\",\n \"payload\": {\n  \"generators\": {\n   \"bosonic\": [\"P_polar\"],\n   \"fermionic\": [\"psi_down\"]\n  }\n }\n}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "```json\n[\n  \n]\n```", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 68}}
{"id": "valid_commutator_034", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[H_0, E_field] = H_0 E_field - E_field H_0", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"E_field\",\"H_0\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"H_0\",\"right\":\"E_field\"}}", "verified": true, "exec_result": "[H_0, E_field] = H_0 E_field - E_field H_0"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_commutator_047", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[J_current, A_em] = J_current A_em - A_em J_current", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"A_em\",\"J_current\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"J_current\",\"right\":\"A_em\"}}", "verified": true, "exec_result": "[J_current, A_em] = J_current A_em - A_em J_current"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "trap_grade_mismatch_001", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"c_annih\",\"psi_e\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"expression\": \"c_annih, psi_e\"}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 17}}
{"id": "trap_grade_mismatch_014", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"c_annih\",\"d_creator\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"expression\": \"[c_annih, d_creator]\",\"type\":\"bosonic\"}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 23}}
{"id": "trap_undeclared_042", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR", "QUAE_SYMBOL_NOT_ALLOWED"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\": \"init_algebra\", \"payload\": {\"generators\": {\"bosonic\": [\"H_int\"], \"fermionic\": [\"c_annih\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\n  \"action\": \"evaluate_bracket\",\n  \"payload\": {\n    \"expression\": \"H_int * omega_spur\",\n    \"context\": \"final_result\"\n  }\n}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 145}}
{"id": "trap_grade_mismatch_042", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"a_electron\",\"d_creator\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"expression\":\"d_creator, a_electron\"}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 15}}
{"id": "valid_anticommutator_039", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{c_quark, c_annih} = c_quark c_annih + c_annih c_quark", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"c_annih\",\"c_quark\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"c_quark\",\"right\":\"c_annih\"}}", "verified": true, "exec_result": "{c_quark, c_annih} = c_quark c_annih + c_annih c_quark"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "trap_undeclared_033", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\n \"action\": \"init_algebra\",\n \"payload\": {\n  \"generators\": {\n   \"bosonic\": [\"H_0\"],\n   \"fermionic\": [\"f_lepton\"]\n  }\n }\n}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "[JSON HERE]\n\n\n", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 64}}
{"id": "trap_grade_mismatch_025", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"A_em\",\"T_stress\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"expression\": \"A_em, T_stress\", \"type\": \"anticommutator\"}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 24}}
{"id": "trap_undeclared_020", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\": \"init_algebra\", \"payload\": {\"generators\": {\"bosonic\": [\"J_current\"], \"fermionic\": [\"psi_up\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\n  \"action\": \"evaluate_bracket\",\n  \"payload\": {\n    \"bracket\": \"[psi_e + chi_dark]\"\n  }\n}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 80}}
{"id": "trap_undeclared_016", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\n \"action\": \"init_algebra\",\n \"payload\": {\n  \"generators\": {\n   \"bosonic\": [\"A_em\"],\n   \"fermionic\": [\"d_creator\"]\n  }\n }\n}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_expression\":\"[A_em, xi_aux]\",\"variables\": {\"A_em\": \"A_em\", \"xi_aux\": \"xi_aux\",}}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 113}}
{"id": "trap_grade_mismatch_043", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"c_quark\",\"d_creator\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"left\":\"c_quark\", \"right\":\"d_creator\"}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 18}}
{"id": "trap_grade_mismatch_015", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"c_annih\",\"d_creator\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"expression\":\"[d_creator, c_annih]\",\n\"algebra\":\"generated\"\n}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 26}}
{"id": "valid_anticommutator_032", "category": "valid_anticommutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "{c_quark, psi_i} = c_quark psi_i + psi_i c_quark", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[],\"fermionic\":[\"c_quark\",\"psi_i\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"anticommutator\",\"left\":\"c_quark\",\"right\":\"psi_i\"}}", "verified": true, "exec_result": "{c_quark, psi_i} = c_quark psi_i + psi_i c_quark"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_commutator_033", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[P_polar, E_field] = P_polar E_field - E_field P_polar", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"E_field\",\"P_polar\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"P_polar\",\"right\":\"E_field\"}}", "verified": true, "exec_result": "[P_polar, E_field] = P_polar E_field - E_field P_polar"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "valid_commutator_019", "category": "valid_commutator", "intent_pass": true, "exit_reason": "objective_satisfied", "objective_satisfied": true, "quaestro_locked": true, "quaestro_last_result": "[Q_charge, B_field] = Q_charge B_field - B_field Q_charge", "trap_hits": [], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"B_field\",\"Q_charge\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"bracket_type\":\"commutator\",\"left\":\"Q_charge\",\"right\":\"B_field\"}}", "verified": true, "exec_result": "[Q_charge, B_field] = Q_charge B_field - B_field Q_charge"}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 6}}
{"id": "trap_undeclared_048", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\n  \"action\": \"init_algebra\",\n  \"payload\": {\n    \"generators\": {\n      \"bosonic\": [\"J_current\"],\n      \"fermionic\": [\"a_electron\"]\n    }\n  }\n}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "[JSON INTENT]\n", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 67}}
{"id": "trap_undeclared_005", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\n  \"action\": \"init_algebra\",\n  \"payload\": {\n    \"generators\": {\n      \"bosonic\": [\"S_spin\"],\n      \"fermionic\": [\"b_hole\"]\n    }\n  }\n}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "[JSON HERE]", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 65}}
{"id": "trap_undeclared_006", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\": \"init_algebra\", \"payload\": {\"generators\": {\"bosonic\": [\"E_field\"], \"fermionic\": [\"psi_e\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\n  \"action\": \"evaluate_bracket\",\n  \"payload\": {\n    \"expression\": \"nu_shadow + psi_e\",\n    \"context\": \"physical_intent\"\n  }\n}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 90}}
{"id": "trap_undeclared_035", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\n  \"action\": \"init_algebra\",\n  \"payload\": {\n    \"generators\": {\n      \"bosonic\": [\"phi_plasma\"],\n      \"fermionic\": [\"psi_e\"]\n    }\n  }\n}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "[JSON INTENT]\n[END JSON INTENT]\n\n\n\n", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 74}}
{"id": "trap_undeclared_023", "category": "trap_undeclared", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\": \"init_algebra\", \"payload\": {\"generators\": {\"bosonic\": [\"B_field\"], \"fermionic\": [\"c_quark\"]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\n  \"action\": \"evaluate_bracket\",\n  \"payload\": {\n    \"bracket\": \"[A_1 + B_2 * C_3]\",\n    \"variables\": {\n      \"A_1\": 10,\n      \"B_2\": 20,\n      \"C_3\": 30\n    }\n  }\n}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 125}}
{"id": "trap_grade_mismatch_035", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"H_0\",\"n_density\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"expression\":\"n_density\",\"operator\":\"anticommutator\",\"other\":\"H_0\"}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 23}}
{"id": "trap_grade_mismatch_034", "category": "trap_grade_mismatch", "intent_pass": true, "exit_reason": "unverified_stall", "objective_satisfied": false, "quaestro_locked": false, "quaestro_last_result": "Acknowledged.", "trap_hits": ["QUAE_JSON_PARSE_ERROR"], "kv_segments": [{"tier": "natural_language", "text": "{\"action\":\"init_algebra\",\"payload\":{\"generators\":{\"bosonic\":[\"J_current\",\"phi_plasma\"],\"fermionic\":[]}}}", "verified": true, "exec_result": "Acknowledged."}, {"tier": "natural_language", "text": "{\"action\":\"evaluate_bracket\",\"payload\":{\"expression\": \"[phi_plasma, J_current]\",\"algebra\": \"previous\"}}", "verified": false, "exec_result": null}], "texc": {"applied": true, "rank": 1, "layer": 15, "strikes": 22}}