├── LICENSE ├── README.md ├── draft_data ├── test │ ├── aime_1983_p1.thy │ ├── aime_1983_p2.thy │ ├── aime_1983_p3.thy │ ├── aime_1984_p1.thy │ ├── aime_1984_p7.thy │ ├── aime_1987_p5.thy │ ├── aime_1988_p8.thy │ ├── aime_1989_p8.thy │ ├── aime_1990_p15.thy │ ├── aime_1990_p4.thy │ ├── aime_1991_p9.thy │ ├── aime_1994_p3.thy │ ├── aime_1995_p7.thy │ ├── aime_1997_p9.thy │ ├── aime_1999_p11.thy │ ├── algebra_2varlineareq_fp3zeq11_3tfm1m5zeqn68_feqn10_zeq7.thy │ ├── algebra_9onxpypzleqsum2onxpy.thy │ ├── algebra_abpbcpcageq3_sumaonsqrtapbgeq3onsqrt2.thy │ ├── algebra_absapbon1pabsapbleqsumabsaon1pabsa.thy │ ├── algebra_absxm1pabsxpabsxp1eqxp2_0leqxleq1.thy │ ├── algebra_amgm_sum1toneqn_prod1tonleq1.thy │ ├── algebra_amgm_sumasqdivbgeqsuma.thy │ ├── algebra_apbmpcneq0_aeq0anbeq0anceq0.thy │ ├── algebra_apbon2pownleqapownpbpowon2.thy │ ├── algebra_apbpceq2_abpbcpcaeq1_aleq1on3anbleq1ancleq4on3.thy │ ├── algebra_bleqa_apbon2msqrtableqambsqon8b.thy │ ├── algebra_cubrtrp1oncubrtreq3_rcubp1onrcubeq5778.thy │ ├── algebra_ineq_nto1onlt2m1on.thy │ ├── algebra_others_exirrpowirrrat.thy │ ├── algebra_sqineq_at2malt1.thy │ ├── algebra_sqineq_unitcircatbpabsamblt1.thy │ ├── algebra_sqineq_unitcircatbpamblt1.thy │ ├── algebra_sum1onsqrt2to1onsqrt10000lt198.thy │ ├── amc12_2000_p1.thy │ ├── amc12_2000_p12.thy │ ├── amc12_2000_p20.thy │ ├── amc12_2000_p6.thy │ ├── amc12_2001_p21.thy │ ├── amc12_2001_p5.thy │ ├── amc12a_2002_p13.thy │ ├── amc12a_2002_p6.thy │ ├── amc12a_2003_p23.thy │ ├── amc12a_2003_p5.thy │ ├── amc12a_2008_p25.thy │ ├── amc12a_2009_p6.thy │ ├── amc12a_2009_p7.thy │ ├── amc12a_2013_p4.thy │ ├── amc12a_2019_p12.thy │ ├── amc12a_2020_p10.thy │ ├── amc12a_2020_p15.thy │ ├── amc12a_2020_p25.thy │ ├── amc12a_2020_p4.thy │ ├── amc12a_2020_p7.thy │ ├── amc12a_2020_p9.thy │ ├── amc12a_2021_p12.thy │ ├── amc12a_2021_p14.thy │ ├── amc12a_2021_p18.thy │ ├── amc12a_2021_p19.thy │ ├── amc12a_2021_p22.thy │ ├── amc12a_2021_p25.thy │ ├── amc12a_2021_p3.thy │ ├── amc12a_2021_p8.thy │ ├── amc12a_2021_p9.thy │ ├── amc12b_2002_p19.thy │ ├── amc12b_2002_p2.thy │ ├── amc12b_2002_p4.thy │ ├── amc12b_2002_p7.thy │ ├── amc12b_2020_p13.thy │ ├── amc12b_2020_p2.thy │ ├── amc12b_2020_p21.thy │ ├── amc12b_2020_p22.thy │ ├── amc12b_2020_p6.thy │ ├── amc12b_2021_p1.thy │ ├── amc12b_2021_p13.thy │ ├── amc12b_2021_p18.thy │ ├── amc12b_2021_p3.thy │ ├── amc12b_2021_p4.thy │ ├── amc12b_2021_p9.thy │ ├── imo_1959_p1.thy │ ├── imo_1960_p2.thy │ ├── imo_1962_p2.thy │ ├── imo_1963_p5.thy │ ├── imo_1964_p2.thy │ ├── imo_1965_p2.thy │ ├── imo_1968_p5_1.thy │ ├── imo_1969_p2.thy │ ├── imo_1974_p3.thy │ ├── imo_1977_p6.thy │ ├── imo_1981_p6.thy │ ├── imo_1982_p1.thy │ ├── imo_1983_p6.thy │ ├── imo_1984_p6.thy │ ├── imo_1985_p6.thy │ ├── imo_1992_p1.thy │ ├── imo_1997_p5.thy │ ├── imo_2001_p6.thy │ ├── imo_2007_p6.thy │ ├── imo_2019_p1.thy │ ├── induction_11div10tonmn1ton.thy │ ├── induction_12dvd4expnp1p20.thy │ ├── induction_1pxpownlt1pnx.thy │ ├── induction_nfactltnexpnm1ngt3.thy │ ├── induction_pord1p1on2powklt5on2.thy │ ├── induction_pprime_pdvdapowpma.thy │ ├── induction_prod1p1onk3le3m1onn.thy │ ├── induction_sumkexp3eqsumksq.thy │ ├── mathd_algebra_107.thy │ ├── mathd_algebra_113.thy │ ├── mathd_algebra_114.thy │ ├── mathd_algebra_125.thy │ ├── mathd_algebra_129.thy │ ├── mathd_algebra_137.thy │ ├── mathd_algebra_139.thy │ ├── mathd_algebra_141.thy │ ├── mathd_algebra_142.thy │ ├── mathd_algebra_143.thy │ ├── mathd_algebra_148.thy │ ├── mathd_algebra_153.thy │ ├── mathd_algebra_156.thy │ ├── mathd_algebra_158.thy │ ├── mathd_algebra_160.thy │ ├── mathd_algebra_17.thy │ ├── mathd_algebra_170.thy │ ├── mathd_algebra_171.thy │ ├── mathd_algebra_176.thy │ ├── mathd_algebra_184.thy │ ├── mathd_algebra_188.thy │ ├── mathd_algebra_196.thy │ ├── mathd_algebra_208.thy │ ├── mathd_algebra_209.thy │ ├── mathd_algebra_215.thy │ ├── mathd_algebra_24.thy │ ├── mathd_algebra_246.thy │ ├── mathd_algebra_263.thy │ ├── mathd_algebra_270.thy │ ├── mathd_algebra_275.thy │ ├── mathd_algebra_276.thy │ ├── mathd_algebra_288.thy │ ├── mathd_algebra_289.thy │ ├── mathd_algebra_293.thy │ ├── mathd_algebra_296.thy │ ├── mathd_algebra_302.thy │ ├── mathd_algebra_304.thy │ ├── mathd_algebra_313.thy │ ├── mathd_algebra_314.thy │ ├── mathd_algebra_320.thy │ ├── mathd_algebra_329.thy │ ├── mathd_algebra_33.thy │ ├── mathd_algebra_332.thy │ ├── mathd_algebra_338.thy │ ├── mathd_algebra_342.thy │ ├── mathd_algebra_346.thy │ ├── mathd_algebra_354.thy │ ├── mathd_algebra_359.thy │ ├── mathd_algebra_362.thy │ ├── mathd_algebra_388.thy │ ├── mathd_algebra_392.thy │ ├── mathd_algebra_398.thy │ ├── mathd_algebra_400.thy │ ├── mathd_algebra_412.thy │ ├── mathd_algebra_419.thy │ ├── mathd_algebra_427.thy │ ├── mathd_algebra_432.thy │ ├── mathd_algebra_44.thy │ ├── mathd_algebra_440.thy │ ├── mathd_algebra_441.thy │ ├── mathd_algebra_452.thy │ ├── mathd_algebra_459.thy │ ├── mathd_algebra_478.thy │ ├── mathd_algebra_484.thy │ ├── mathd_algebra_487.thy │ ├── mathd_algebra_513.thy │ ├── mathd_algebra_598.thy │ ├── mathd_algebra_756.thy │ ├── mathd_algebra_76.thy │ ├── mathd_algebra_80.thy │ ├── mathd_numbertheory_100.thy │ ├── mathd_numbertheory_1124.thy │ ├── mathd_numbertheory_12.thy │ ├── mathd_numbertheory_127.thy │ ├── mathd_numbertheory_135.thy │ ├── mathd_numbertheory_150.thy │ ├── mathd_numbertheory_175.thy │ ├── mathd_numbertheory_185.thy │ ├── mathd_numbertheory_207.thy │ ├── mathd_numbertheory_212.thy │ ├── mathd_numbertheory_222.thy │ ├── mathd_numbertheory_227.thy │ ├── mathd_numbertheory_229.thy │ ├── mathd_numbertheory_233.thy │ ├── mathd_numbertheory_234.thy │ ├── mathd_numbertheory_235.thy │ ├── mathd_numbertheory_237.thy │ ├── mathd_numbertheory_239.thy │ ├── mathd_numbertheory_247.thy │ ├── mathd_numbertheory_254.thy │ ├── mathd_numbertheory_277.thy │ ├── mathd_numbertheory_293.thy │ ├── mathd_numbertheory_296.thy │ ├── mathd_numbertheory_299.thy │ ├── mathd_numbertheory_3.thy │ ├── mathd_numbertheory_314.thy │ ├── mathd_numbertheory_320.thy │ ├── mathd_numbertheory_321.thy │ ├── mathd_numbertheory_328.thy │ ├── mathd_numbertheory_34.thy │ ├── mathd_numbertheory_341.thy │ ├── mathd_numbertheory_342.thy │ ├── mathd_numbertheory_343.thy │ ├── mathd_numbertheory_345.thy │ ├── mathd_numbertheory_353.thy │ ├── mathd_numbertheory_427.thy │ ├── mathd_numbertheory_430.thy │ ├── mathd_numbertheory_435.thy │ ├── mathd_numbertheory_447.thy │ ├── mathd_numbertheory_451.thy │ ├── mathd_numbertheory_457.thy │ ├── mathd_numbertheory_483.thy │ ├── mathd_numbertheory_495.thy │ ├── mathd_numbertheory_5.thy │ ├── mathd_numbertheory_517.thy │ ├── mathd_numbertheory_521.thy │ ├── mathd_numbertheory_541.thy │ ├── mathd_numbertheory_551.thy │ ├── mathd_numbertheory_552.thy │ ├── mathd_numbertheory_559.thy │ ├── mathd_numbertheory_582.thy │ ├── mathd_numbertheory_618.thy │ ├── mathd_numbertheory_66.thy │ ├── mathd_numbertheory_711.thy │ ├── mathd_numbertheory_728.thy │ ├── mathd_numbertheory_764.thy │ ├── mathd_numbertheory_765.thy │ ├── mathd_numbertheory_769.thy │ ├── mathd_numbertheory_85.thy │ ├── mathd_numbertheory_99.thy │ ├── numbertheory_2pownm1prime_nprime.thy │ ├── numbertheory_3pow2pownm1mod2pownp3eq2pownp2.thy │ ├── numbertheory_4x3m7y3neq2003.thy │ ├── numbertheory_aoddbdiv4asqpbsqmod8eq1.thy │ ├── numbertheory_exk2powkeqapb2mulbpa2_aeq1.thy │ ├── numbertheory_fxeq4powxp6powxp9powx_f2powmdvdf2pown.thy │ ├── numbertheory_notequiv2i2jasqbsqdiv8.thy │ └── numbertheory_x5neqy2p4.thy └── valid │ ├── aimeII_2020_p6.thy │ ├── aimeI_2000_p7.thy │ ├── aimeI_2001_p3.thy │ ├── aime_1983_p9.thy │ ├── aime_1984_p15.thy │ ├── aime_1984_p5.thy │ ├── aime_1987_p8.thy │ ├── aime_1988_p3.thy │ ├── aime_1988_p4.thy │ ├── aime_1990_p2.thy │ ├── aime_1991_p1.thy │ ├── aime_1991_p6.thy │ ├── aime_1994_p4.thy │ ├── aime_1996_p5.thy │ ├── aime_1997_p12.thy │ ├── algebra_2complexrootspoly_xsqp49eqxp7itxpn7i.thy │ ├── algebra_2rootsintpoly_am10tap11eqasqpam110.thy │ ├── algebra_2rootspoly_apatapbeq2asqp2ab.thy │ ├── algebra_2varlineareq_xpeeq7_2xpeeq3_eeq11_xeqn4.thy │ ├── algebra_3rootspoly_amdtamctambeqnasqmbpctapcbtdpasqmbpctapcbta.thy │ ├── algebra_amgm_faxinrrp2msqrt2geq2mxm1div2x.thy │ ├── algebra_amgm_prod1toneq1_sum1tongeqn.thy │ ├── algebra_amgm_sqrtxymulxmyeqxpy_xpygeq4.thy │ ├── algebra_amgm_sumasqdivbsqgeqsumbdiva.thy │ ├── algebra_apb4leq8ta4pb4.thy │ ├── algebra_binomnegdiscrineq_10alt28asqp1.thy │ ├── algebra_manipexpr_2erprsqpesqeqnrpnesq.thy │ ├── algebra_manipexpr_apbeq2cceqiacpbceqm2.thy │ ├── algebra_sqineq_2at2pclta2c2p41pc.thy │ ├── algebra_sqineq_2unitcircatblt1.thy │ ├── algebra_sqineq_36azm9asqle36zsq.thy │ ├── algebra_sqineq_4bap1lt4bsqpap1sq.thy │ ├── algebra_xmysqpymzsqpzmxsqeqxyz_xpypzp6dvdx3y3z3.thy │ ├── amc12_2000_p11.thy │ ├── amc12_2000_p15.thy │ ├── amc12_2000_p5.thy │ ├── amc12_2001_p2.thy │ ├── amc12_2001_p9.thy │ ├── amc12a_2002_p1.thy │ ├── amc12a_2002_p12.thy │ ├── amc12a_2002_p21.thy │ ├── amc12a_2003_p1.thy │ ├── amc12a_2003_p24.thy │ ├── amc12a_2003_p25.thy │ ├── amc12a_2008_p15.thy │ ├── amc12a_2008_p2.thy │ ├── amc12a_2008_p4.thy │ ├── amc12a_2008_p8.thy │ ├── amc12a_2009_p15.thy │ ├── amc12a_2009_p2.thy │ ├── amc12a_2009_p25.thy │ ├── amc12a_2009_p5.thy │ ├── amc12a_2009_p9.thy │ ├── amc12a_2010_p10.thy │ ├── amc12a_2010_p11.thy │ ├── amc12a_2010_p22.thy │ ├── amc12a_2011_p18.thy │ ├── amc12a_2013_p7.thy │ ├── amc12a_2013_p8.thy │ ├── amc12a_2015_p10.thy │ ├── amc12a_2016_p2.thy │ ├── amc12a_2016_p3.thy │ ├── amc12a_2017_p2.thy │ ├── amc12a_2017_p7.thy │ ├── amc12a_2019_p21.thy │ ├── amc12a_2019_p9.thy │ ├── amc12a_2020_p13.thy │ ├── amc12a_2020_p22.thy │ ├── amc12a_2021_p7.thy │ ├── amc12b_2002_p11.thy │ ├── amc12b_2002_p3.thy │ ├── amc12b_2002_p6.thy │ ├── amc12b_2003_p17.thy │ ├── amc12b_2003_p6.thy │ ├── amc12b_2003_p9.thy │ ├── amc12b_2004_p3.thy │ ├── amc12b_2020_p5.thy │ ├── amc12b_2021_p21.thy │ ├── imo_1961_p1.thy │ ├── imo_1962_p4.thy │ ├── imo_1964_p1_1.thy │ ├── imo_1964_p1_2.thy │ ├── imo_1965_p1.thy │ ├── imo_1966_p4.thy │ ├── imo_1966_p5.thy │ ├── imo_1967_p3.thy │ ├── imo_1973_p3.thy │ ├── imo_1974_p5.thy │ ├── imo_1977_p5.thy │ ├── imo_1978_p5.thy │ ├── imo_1979_p1.thy │ ├── imo_1984_p2.thy │ ├── imo_1987_p4.thy │ ├── imo_1987_p6.thy │ ├── imo_1988_p6.thy │ ├── imo_1990_p3.thy │ ├── imo_1993_p5.thy │ ├── imo_2006_p6.thy │ ├── induction_divisibility_3div2tooddnp1.thy │ ├── induction_divisibility_3divnto3m2n.thy │ ├── induction_divisibility_9div10tonm1.thy │ ├── induction_ineq_nsqlefactn.thy │ ├── induction_seq_mul2pnp1.thy │ ├── induction_sum2kp1npqsqm1.thy │ ├── induction_sum_1oktkp1.thy │ ├── induction_sum_odd.thy │ ├── mathd_algebra_10.thy │ ├── mathd_algebra_101.thy │ ├── mathd_algebra_104.thy │ ├── mathd_algebra_109.thy │ ├── mathd_algebra_11.thy │ ├── mathd_algebra_110.thy │ ├── mathd_algebra_116.thy │ ├── mathd_algebra_119.thy │ ├── mathd_algebra_123.thy │ ├── mathd_algebra_126.thy │ ├── mathd_algebra_13.thy │ ├── mathd_algebra_131.thy │ ├── mathd_algebra_132.thy │ ├── mathd_algebra_140.thy │ ├── mathd_algebra_144.thy │ ├── mathd_algebra_149.thy │ ├── mathd_algebra_15.thy │ ├── mathd_algebra_151.thy │ ├── mathd_algebra_159.thy │ ├── mathd_algebra_181.thy │ ├── mathd_algebra_182.thy │ ├── mathd_algebra_185.thy │ ├── mathd_algebra_190.thy │ ├── mathd_algebra_192.thy │ ├── mathd_algebra_206.thy │ ├── mathd_algebra_214.thy │ ├── mathd_algebra_22.thy │ ├── mathd_algebra_224.thy │ ├── mathd_algebra_234.thy │ ├── mathd_algebra_245.thy │ ├── mathd_algebra_247.thy │ ├── mathd_algebra_251.thy │ ├── mathd_algebra_267.thy │ ├── mathd_algebra_28.thy │ ├── mathd_algebra_282.thy │ ├── mathd_algebra_31.thy │ ├── mathd_algebra_323.thy │ ├── mathd_algebra_327.thy │ ├── mathd_algebra_35.thy │ ├── mathd_algebra_37.thy │ ├── mathd_algebra_393.thy │ ├── mathd_algebra_405.thy │ ├── mathd_algebra_410.thy │ ├── mathd_algebra_421.thy │ ├── mathd_algebra_422.thy │ ├── mathd_algebra_43.thy │ ├── mathd_algebra_433.thy │ ├── mathd_algebra_437.thy │ ├── mathd_algebra_451.thy │ ├── mathd_algebra_455.thy │ ├── mathd_algebra_462.thy │ ├── mathd_algebra_48.thy │ ├── mathd_algebra_480.thy │ ├── mathd_algebra_482.thy │ ├── mathd_algebra_493.thy │ ├── mathd_algebra_509.thy │ ├── mathd_algebra_51.thy │ ├── mathd_algebra_510.thy │ ├── mathd_algebra_536.thy │ ├── mathd_algebra_547.thy │ ├── mathd_algebra_55.thy │ ├── mathd_algebra_568.thy │ ├── mathd_algebra_59.thy │ ├── mathd_algebra_616.thy │ ├── mathd_algebra_67.thy │ ├── mathd_algebra_69.thy │ ├── mathd_algebra_73.thy │ ├── mathd_algebra_77.thy │ ├── mathd_algebra_89.thy │ ├── mathd_algebra_96.thy │ ├── mathd_numbertheory_101.thy │ ├── mathd_numbertheory_102.thy │ ├── mathd_numbertheory_109.thy │ ├── mathd_numbertheory_110.thy │ ├── mathd_numbertheory_13.thy │ ├── mathd_numbertheory_22.thy │ ├── mathd_numbertheory_24.thy │ ├── mathd_numbertheory_30.thy │ ├── mathd_numbertheory_32.thy │ ├── mathd_numbertheory_33.thy │ ├── mathd_numbertheory_35.thy │ ├── mathd_numbertheory_37.thy │ ├── mathd_numbertheory_42.thy │ ├── mathd_numbertheory_43.thy │ ├── mathd_numbertheory_45.thy │ ├── mathd_numbertheory_48.thy │ ├── mathd_numbertheory_64.thy │ ├── mathd_numbertheory_81.thy │ ├── mathd_numbertheory_84.thy │ └── mathd_numbertheory_92.thy ├── formal_system_servers ├── README.md ├── __init__.py ├── isabelle_server_backend.py ├── launch_flask.py ├── lean_server_backend.py └── mm_server_backend.py ├── run_interact.py ├── run_ori_ablation.sh └── src ├── autoformalization ├── __init__.py ├── autoformalize_minif2f_math.py ├── checker.py ├── eval_and_store.py ├── prompts.py ├── query_and_store.py └── utils.py ├── isa_auto ├── extract_sketch_file.py ├── proof_completor.py └── utils_auto.py └── scripts ├── albert ├── local_codex_query.py ├── local_codex_query_fail.py ├── local_codex_query_imosl.py ├── local_codex_query_interact.py ├── parallel_codex_query_canon.py └── run.sh ├── dsp_prompts.txt ├── extract_sketch_file.py ├── merge_generated.py └── 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