0.00/0.00 % Leo-III: Strategy 1 (for '60') 70.79/19.43 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 70.79/19.43 % [INFO] Parsing done (428ms). 70.79/19.43 % [INFO] Running in sequential loop mode. 70.79/19.43 % [CONFIG] Using configuration: timeout(60) with strategy 70.79/19.43 % [INFO] eprover registered as external prover. 70.79/19.43 % [INFO] cvc4 registered as external prover. 70.79/19.43 % [INFO] Parsing finished. Scanning for conjecture ... 70.79/19.43 % [INFO] Found a conjecture and 357 axioms. Running axiom selection ... 70.79/19.43 % [INFO] Axiom selection finished. Selected 310 axioms (removed 47 axioms). 70.79/19.43 % [INFO] Problem is higher-order (TPTP THF). 70.79/19.43 % [INFO] Type checking passed. Searching for refutation ... 70.79/19.43 % External prover 'e' found a proof! 70.79/19.43 % [INFO] Killing All external provers ... 70.79/19.43 % Time passed: 17912ms (effective reasoning time: 16895ms) 70.79/19.43 % Solved by strategy 70.79/19.43 % Axioms used in derivation (310): fact_48_inf__bot__right, fact_189_usubstappf__geq, fact_84_boolean__algebra__cancel_Oinf1, fact_220_prod_Oinject, fact_282_case__prod__eta, fact_60_option_Oinject, fact_81_inf__assoc, fact_186_disjE__realizer2, fact_87_inf__sup__aci_I3_J, fact_129_option_Osimps_I5_J, fact_42_not__Some__eq, fact_41_not__Some__eq, fact_334_trm_Odistinct_I33_J, fact_210_internal__case__prod__def, fact_91_option_Ocase__distrib, fact_90_option_Ocase__distrib, fact_98_option_OdiscI, fact_121_option_Osimps_I4_J, fact_159_Composeo_Oinduct, fact_244_case__prod__conv, fact_19_prod_Ocase__distrib, fact_138_option_Ocase__eq__if, fact_152_Loopo_Ocases, fact_351_usubstappt_Osimps_I5_J, fact_14_undeff__equiv, fact_175_Int__left__commute, fact_241_case__prod__conv, fact_23_prod_Ocase__distrib, fact_172_Int__absorb, fact_59_option_Oinject, fact_174_Int__left__absorb, fact_325_trm_Oexhaust, fact_103_option_Oinducts, fact_33_f3, fact_135_option_Oexhaust__sel, fact_203_internal__case__prod__def, fact_36_f4, fact_50_option_Osplit__sel__asm, fact_283_case__prod__eta, fact_193_fml_Oinject_I2_J, fact_136_option_Ocase__eq__if, fact_188_usubstappf__geqr, fact_279_case__prod__eta, fact_1_Pred_Oprems_I2_J, fact_183_Int__empty__left, fact_13_Testo_Oinduct, fact_219_prod_Oinject, fact_200_inf__Int__eq, fact_10__092_060open_062_Icase_ASPreds_A_092_060sigma_062_Ap_Aof_ANone_A_092_060Rightarrow_062_AAfml_A_IPred_Ap_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_124_ASome_Af_A_092_060Rightarrow_062_Aif_AFVF_Af_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_Af_Aelse_Aundeff_J_A_092_060noteq_062_A_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_092_060close_062, fact_312_usubstappt_Osimps_I2_J, fact_31__092_060open_062usubstappf_A_092_060sigma_062_AU_A_IPred_Ap_A_092_060theta_062_J_A_092_060noteq_062_A_Icase_ASPreds_A_092_060sigma_062_Ap_Aof_ANone_A_092_060Rightarrow_062_AAfml_A_IPred_Ap_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_124_ASome_Af_A_092_060Rightarrow_062_Aif_AFVF_Af_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_Af_Aelse_Aundeff_J_092_060close_062, fact_341_dot__def, fact_93_option_Ocase__distrib, fact_39_option_Ocollapse, fact_171_Int__assoc, fact_100_option_Oexhaust, fact_339_usubstappt__differential__conv, fact_236_case__prodI2, fact_180_inf__set__def, fact_16_prod_Ocase__distrib, fact_185_disjE__realizer2, fact_271_cond__case__prod__eta, fact_34_f8, fact_223_old_Oprod_Oinject, fact_15_Existso_Oinduct, fact_343_Differentialo_Osimps_I2_J, fact_270_cond__case__prod__eta, fact_154_Loopo_Oinduct, fact_58_inf_Oidem, fact_113_combine__options__cases, fact_184_Int__empty__right, fact_141_option_Osplit__sel, fact_64_option_Odisc__eq__case_I2_J, fact_276_case__prod__eta, fact_104_option_Oinducts, fact_331_trm_Odistinct_I39_J, fact_30_f6, fact_101_option_Oexhaust, fact_147_Collect__empty__eq, fact_245_case__prod__conv, fact_256_bot__empty__eq2, fact_307_trm_Odistinct_I15_J, fact_253_inf__Int__eq2, fact_132_option_Osel, fact_127_option_Osimps_I5_J, fact_75_case__optionE, fact_327_trm_Odistinct_I25_J, fact_78_inf_Oleft__commute, fact_237_case__prod__conv, fact_205_internal__case__prod__def, help_If_2_1_If_001t__Option__Ooption_It__Syntax__Otrm_J_T, fact_28_calculation_I1_J, fact_47_inf__bot__left, fact_310_trm_Odistinct_I13_J, fact_118_combine__options__cases, fact_148_all__not__in__conv, fact_57_inf__idem, fact_123_option_Osimps_I4_J, fact_168_IntE, fact_82_inf_Oassoc, fact_157_Timeso_Oinduct, fact_51_option_Osplit__sel__asm, fact_306_trm_Oinject_I1_J, fact_95_option_Odistinct_I1_J, fact_338_usubstappt__plus__conv, fact_170_IntD2, fact_235_case__prodI2, fact_272_cond__case__prod__eta, fact_198_Geqo_Osimps_I2_J, fact_37_option_Ocollapse, fact_321_trm_Odistinct_I11_J, fact_234_case__prodI2, fact_150_disjoint__iff__not__equal, fact_73_Collect__cong, fact_40_not__Some__eq, fact_107_split__option__ex, fact_108_split__option__ex, fact_313_usubstappt_Osimps_I1_J, fact_347_Pluso__undef, fact_110_split__option__all, fact_166_ex__in__conv, fact_308_trm_Odistinct_I5_J, fact_116_combine__options__cases, fact_239_case__prod__conv, fact_2_case__prod__app, fact_195_usubstappf_Osimps_I2_J, fact_76_case__optionE, fact_49_option_Osplit__sel__asm, fact_194_fml_Odistinct_I1_J, fact_114_combine__options__cases, fact_140_option_Osplit__sel, fact_216_prod_Oinject, fact_181_Int__emptyI, fact_71_mem__Collect__eq, fact_46_usubstappf_Osimps_I1_J, fact_190_Geqo_Osimps_I3_J, fact_348_Timeso__undef, fact_177_Collect__conj__eq, fact_261_pred__equals__eq2, fact_332_trm_Odistinct_I37_J, fact_156_undeft__equiv, fact_125_option_Oexpand, fact_94_option_Odistinct_I1_J, fact_85_inf__sup__aci_I1_J, fact_322_trm_Odistinct_I17_J, fact_35_f1, fact_286_Testo_Osimps_I2_J, fact_280_case__prod__eta, fact_214_Diamondo_Ocases, fact_131_option_Osel, fact_66_option_Odisc__eq__case_I2_J, fact_92_option_Ocase__distrib, fact_111_split__option__all, fact_29_calculation_I2_J, fact_38_option_Ocollapse, fact_221_old_Oprod_Oinject, fact_79_inf__commute, fact_124_option_Oexpand, fact_226_trm_Oinject_I4_J, fact_163_emptyE, fact_305_trm_Oinject_I2_J, fact_182_disjoint__iff, fact_146_empty__Collect__eq, fact_52_f2, fact_80_inf_Ocommute, fact_65_option_Odisc__eq__case_I2_J, fact_109_split__option__all, fact_149_empty__iff, fact_72_Collect__mem__eq, fact_229_case__prodI, fact_53_inf__right__idem, fact_62_usubstappf__pred, fact_142_option_Osplit__sel, fact_74_case__optionE, fact_61_option_Oinject, fact_274_case__prod__eta, fact_105_option_Oinducts, fact_337_usubstappt__times__conv, fact_290_trm_Oinject_I3_J, fact_324_trm_Odistinct_I21_J, fact_173_Int__commute, fact_26__092_060open_062usubstappf_A_092_060sigma_062_AU_A_IPred_Ap_A_092_060theta_062_J_A_092_060noteq_062_Ausubstappf_A_092_060sigma_062_AV_A_IPred_Ap_A_092_060theta_062_J_092_060close_062, fact_319_trm_Odistinct_I7_J, fact_151_Aterm__Some, fact_115_combine__options__cases, fact_295_Timeso_Ocases, fact_126_option_Oexpand, fact_316_trm_Oinject_I6_J, fact_187_disjE__realizer2, fact_45_not__None__eq, fact_230_case__prodI, fact_158_Assigno_Oinduct, fact_8__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_092_060close_062, help_If_3_1_If_001t__Option__Ooption_It__Syntax__Otrm_J_T, fact_133_option_Oexhaust__sel, fact_144_Int__iff, fact_161_Differentialo_Oinduct, fact_345_Pluso_Osimps_I2_J, fact_63_Diamondo_Oinduct, fact_139_usubstappf__pred__conv, fact_291_trm_Odistinct_I23_J, fact_344_Differentialo__undef, fact_311_trm_Odistinct_I3_J, fact_44_not__None__eq, fact_284_case__prodE2, fact_346_Timeso_Osimps_I2_J, fact_17_prod_Ocase__distrib, fact_137_option_Ocase__eq__if, fact_96_option_Odistinct_I1_J, help_If_1_1_If_001t__Option__Ooption_It__Syntax__Ofml_J_T, fact_258_bot__empty__eq2, fact_7_Pred_Oprems_I1_J, fact_128_option_Osimps_I5_J, fact_178_Int__Collect, fact_9_f9, fact_112_combine__options__cases, fact_12_Testo_Ocases, fact_350_Timeso_Osimps_I3_J, fact_0_f7, fact_335_trm_Odistinct_I35_J, fact_102_option_Oexhaust, fact_281_case__prod__eta, fact_317_trm_Oinject_I5_J, fact_191_Set_Ois__empty__def, fact_218_prod_Oinject, fact_199_Geqo__undef, fact_97_option_OdiscI, fact_273_cond__case__prod__eta, fact_89_option_Ocase__distrib, fact_22_prod_Ocase__distrib, fact_69_option_Odisc__eq__case_I1_J, fact_328_trm_Odistinct_I27_J, fact_225_old_Oprod_Oinject, fact_145_IntI, fact_326_trm_Oinduct, fact_88_inf__sup__aci_I4_J, fact_143_fml_Oinject_I1_J, fact_242_case__prod__conv, fact_320_trm_Odistinct_I9_J, fact_192_usubstappf__geq__conv, fact_252_inf__Int__eq2, fact_315_dotsubstt__def, fact_54_inf_Oright__idem, help_If_2_1_If_001t__Option__Ooption_It__Syntax__Ofml_J_T, fact_155_undefg__equiv, fact_251_inf__Int__eq2, fact_268_cond__case__prod__eta, fact_296_Existso_Ocases, fact_162_undeft__None, fact_309_trm_Odistinct_I1_J, fact_99_option_OdiscI, fact_262_pred__equals__eq2, fact_224_old_Oprod_Oinject, fact_86_inf__sup__aci_I2_J, fact_176_empty__def, fact_215_Testo__undef, fact_293_ODEo_Ocases, fact_119_combine__options__cases, fact_231_case__prodI, fact_70_usubstappt__det, fact_6_case__prod__app, fact_25_prod_Ocase__distrib, fact_68_option_Odisc__eq__case_I1_J, fact_18_prod_Ocase__distrib, fact_77_inf__left__commute, help_If_1_1_If_001t__Option__Ooption_It__Syntax__Otrm_J_T, fact_4_case__prod__app, fact_117_combine__options__cases, fact_257_bot__empty__eq2, fact_278_case__prod__eta, fact_179_Int__def, fact_55_inf__left__idem, fact_27_f5, fact_208_internal__case__prod__def, fact_106_split__option__ex, fact_246_case__prod__conv, fact_196_Geqo_Osimps_I1_J, fact_165_equals0I, fact_197_Geqo_Oelims, fact_134_option_Oexhaust__sel, fact_83_boolean__algebra__cancel_Oinf2, fact_160_Differentialo_Ocases, fact_294_Assigno_Ocases, fact_11_Ando_Oinduct, fact_330_trm_Odistinct_I41_J, fact_153_ODEo_Oinduct, fact_122_option_Osimps_I4_J, fact_120_combine__options__cases, fact_349_Pluso_Osimps_I3_J, fact_266_cond__case__prod__eta, fact_298_Composeo_Ocases, fact_32_usubstappf__pred2, fact_169_IntD1, fact_269_cond__case__prod__eta, fact_297_Ando_Ocases, fact_263_pred__equals__eq2, fact_333_trm_Odistinct_I31_J, fact_56_inf_Oleft__idem, fact_67_option_Odisc__eq__case_I1_J, fact_323_trm_Odistinct_I19_J, fact_164_equals0D, fact_318_trm_Oinject_I7_J, fact_130_option_Osel, fact_212_internal__case__prod__def, fact_243_case__prod__conv, fact_207_internal__case__prod__def, fact_329_trm_Odistinct_I29_J, fact_264_cond__case__prod__eta, fact_43_not__None__eq, fact_209_internal__case__prod__def 70.79/19.43 % No. of inferences in proof: 624 70.79/19.43 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 17912 ms resp. 16895 ms w/o parsing 70.79/19.43 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 70.79/19.43 thf(produc1699626005le_trm_type, type, produc1699626005le_trm: $tType). 70.79/19.43 thf(set_Pr720454634n_game_type, type, set_Pr720454634n_game: $tType). 70.79/19.43 thf(produc1418842292n_game_type, type, produc1418842292n_game: $tType). 70.79/19.43 thf(set_Pr739694057n_game_type, type, set_Pr739694057n_game: $tType). 70.79/19.43 thf(produc62062515n_game_type, type, produc62062515n_game: $tType). 70.79/19.43 thf(set_Pr79606376n_game_type, type, set_Pr79606376n_game: $tType). 70.79/19.43 thf(produc799602994n_game_type, type, produc799602994n_game: $tType). 70.79/19.43 thf(produc1016592119n_game_type, type, produc1016592119n_game: $tType). 70.79/19.43 thf(produc1739631244on_fml_type, type, produc1739631244on_fml: $tType). 70.79/19.43 thf(produc1072747943on_trm_type, type, produc1072747943on_trm: $tType). 70.79/19.43 thf(produc46605351on_fml_type, type, produc46605351on_fml: $tType). 70.79/19.43 thf(set_Pr943832262on_trm_type, type, set_Pr943832262on_trm: $tType). 70.79/19.43 thf(set_Pr1235432374le_trm_type, type, set_Pr1235432374le_trm: $tType). 70.79/19.43 thf(produc1024976764on_trm_type, type, produc1024976764on_trm: $tType). 70.79/19.43 thf(produc1408538418on_fml_type, type, produc1408538418on_fml: $tType). 70.79/19.43 thf(produc464795408on_trm_type, type, produc464795408on_trm: $tType). 70.79/19.43 thf(produc1367888000le_trm_type, type, produc1367888000le_trm: $tType). 70.79/19.43 thf(option_game_type, type, option_game: $tType). 70.79/19.43 thf(option_trm_type, type, option_trm: $tType). 70.79/19.43 thf(option_fml_type, type, option_fml: $tType). 70.79/19.43 thf(set_variable_type, type, set_variable: $tType). 70.79/19.43 thf(variable_type, type, variable: $tType). 70.79/19.43 thf(game_type, type, game: $tType). 70.79/19.43 thf(char_type, type, char: $tType). 70.79/19.43 thf(trm_type, type, trm: $tType). 70.79/19.43 thf(fml_type, type, fml: $tType). 70.79/19.43 thf(real_type, type, real: $tType). 70.79/19.43 thf(if_option_fml_type, type, if_option_fml: ($o > (option_fml > (option_fml > option_fml)))). 70.79/19.43 thf(if_option_trm_type, type, if_option_trm: ($o > (option_trm > (option_trm > option_trm)))). 70.79/19.43 thf(inf_in243546115game_o_type, type, inf_in243546115game_o: (((char > option_fml) > ((char > option_game) > $o)) > (((char > option_fml) > ((char > option_game) > $o)) > ((char > option_fml) > ((char > option_game) > $o))))). 70.79/19.43 thf(inf_in1072207554game_o_type, type, inf_in1072207554game_o: (((char > option_trm) > (produc799602994n_game > $o)) > (((char > option_trm) > (produc799602994n_game > $o)) > ((char > option_trm) > (produc799602994n_game > $o))))). 70.79/19.43 thf(inf_in1920662529game_o_type, type, inf_in1920662529game_o: (((char > option_trm) > (produc62062515n_game > $o)) > (((char > option_trm) > (produc62062515n_game > $o)) > ((char > option_trm) > (produc62062515n_game > $o))))). 70.79/19.43 thf(inf_inf_variable_o_type, type, inf_inf_variable_o: ((variable > $o) > ((variable > $o) > (variable > $o)))). 70.79/19.43 thf(inf_in1391117306n_game_type, type, inf_in1391117306n_game: (set_Pr79606376n_game > (set_Pr79606376n_game > set_Pr79606376n_game))). 70.79/19.43 thf(inf_in69689467n_game_type, type, inf_in69689467n_game: (set_Pr739694057n_game > (set_Pr739694057n_game > set_Pr739694057n_game))). 70.79/19.43 thf(inf_in360367996n_game_type, type, inf_in360367996n_game: (set_Pr720454634n_game > (set_Pr720454634n_game > set_Pr720454634n_game))). 70.79/19.43 thf(inf_inf_set_variable_type, type, inf_inf_set_variable: (set_variable > (set_variable > set_variable))). 70.79/19.43 thf(none_fml_type, type, none_fml: option_fml). 70.79/19.43 thf(none_game_type, type, none_game: option_game). 70.79/19.43 thf(none_trm_type, type, none_trm: option_trm). 70.79/19.43 thf(some_fml_type, type, some_fml: (fml > option_fml)). 70.79/19.43 thf(some_game_type, type, some_game: (game > option_game)). 70.79/19.43 thf(some_trm_type, type, some_trm: (trm > option_trm)). 70.79/19.43 thf(case_option_o_fml_type, type, case_option_o_fml: ($o > ((fml > $o) > (option_fml > $o)))). 70.79/19.43 thf(case_option_o_game_type, type, case_option_o_game: ($o > ((game > $o) > (option_game > $o)))). 70.79/19.43 thf(case_option_o_trm_type, type, case_option_o_trm: ($o > ((trm > $o) > (option_trm > $o)))). 70.79/19.43 thf(case_o209804997ml_fml_type, type, case_o209804997ml_fml: (option_fml > ((fml > option_fml) > (option_fml > option_fml)))). 70.79/19.43 thf(case_o325794063ml_trm_type, type, case_o325794063ml_trm: (option_fml > ((trm > option_fml) > (option_trm > option_fml)))). 70.79/19.43 thf(case_o487727941rm_trm_type, type, case_o487727941rm_trm: (option_trm > ((trm > option_trm) > (option_trm > option_trm)))). 70.79/19.43 thf(the_fml_type, type, the_fml: (option_fml > fml)). 70.79/19.43 thf(the_game_type, type, the_game: (option_game > game)). 70.79/19.43 thf(the_trm_type, type, the_trm: (option_trm > trm)). 70.79/19.43 thf(bot_bo1895715589game_o_type, type, bot_bo1895715589game_o: ((char > option_fml) > ((char > option_game) > $o))). 70.79/19.43 thf(bot_bo1417568964game_o_type, type, bot_bo1417568964game_o: ((char > option_trm) > (produc799602994n_game > $o))). 70.79/19.43 thf(bot_bo849148163game_o_type, type, bot_bo849148163game_o: ((char > option_trm) > (produc62062515n_game > $o))). 70.79/19.43 thf(bot_bo456479484n_game_type, type, bot_bo456479484n_game: set_Pr79606376n_game). 70.79/19.43 thf(bot_bo1302831229n_game_type, type, bot_bo1302831229n_game: set_Pr739694057n_game). 70.79/19.43 thf(bot_bo1453406334n_game_type, type, bot_bo1453406334n_game: set_Pr720454634n_game). 70.79/19.43 thf(bot_bot_set_variable_type, type, bot_bot_set_variable: set_variable). 70.79/19.43 thf(produc123610156n_game_type, type, produc123610156n_game: ((char > option_fml) > ((char > option_game) > produc799602994n_game))). 70.79/19.43 thf(produc1048060077n_game_type, type, produc1048060077n_game: ((char > option_trm) > (produc799602994n_game > produc62062515n_game))). 70.79/19.43 thf(produc1618635950n_game_type, type, produc1618635950n_game: ((char > option_trm) > (produc62062515n_game > produc1418842292n_game))). 70.79/19.43 thf(produc909629463on_fml_type, type, produc909629463on_fml: (option_fml > (option_fml > produc46605351on_fml))). 70.79/19.43 thf(produc2124676926on_fml_type, type, produc2124676926on_fml: (option_game > (option_fml > produc1739631244on_fml))). 70.79/19.43 thf(produc1111617711n_game_type, type, produc1111617711n_game: (option_game > (option_game > produc1016592119n_game))). 70.79/19.43 thf(produc709594775on_trm_type, type, produc709594775on_trm: (option_trm > (option_trm > produc1072747943on_trm))). 70.79/19.43 thf(produc1500300866on_trm_type, type, produc1500300866on_trm: (char > (option_trm > produc464795408on_trm))). 70.79/19.43 thf(produc1205977188on_fml_type, type, produc1205977188on_fml: (variable > (option_fml > produc1408538418on_fml))). 70.79/19.43 thf(produc1743721902on_trm_type, type, produc1743721902on_trm: (variable > (option_trm > produc1024976764on_trm))). 70.79/19.43 thf(produc1598111045on_fml_type, type, produc1598111045on_fml: (((char > option_fml) > ((char > option_game) > (char > option_fml))) > (produc799602994n_game > (char > option_fml)))). 70.79/19.43 thf(produc1591622303on_fml_type, type, produc1591622303on_fml: (((char > option_fml) > ((char > option_game) > option_fml)) > (produc799602994n_game > option_fml))). 70.79/19.43 thf(produc2129367017on_trm_type, type, produc2129367017on_trm: (((char > option_fml) > ((char > option_game) > option_trm)) > (produc799602994n_game > option_trm))). 70.79/19.43 thf(produc377919108on_fml_type, type, produc377919108on_fml: (((char > option_trm) > (produc799602994n_game > (char > option_fml))) > (produc62062515n_game > (char > option_fml)))). 70.79/19.43 thf(produc1903410526on_fml_type, type, produc1903410526on_fml: (((char > option_trm) > (produc799602994n_game > option_fml)) > (produc62062515n_game > option_fml))). 70.79/19.43 thf(produc1278328899on_fml_type, type, produc1278328899on_fml: (((char > option_trm) > (produc62062515n_game > (char > option_fml))) > (produc1418842292n_game > (char > option_fml)))). 70.79/19.43 thf(produc724717725on_fml_type, type, produc724717725on_fml: (((char > option_trm) > (produc62062515n_game > option_fml)) > (produc1418842292n_game > option_fml))). 70.79/19.43 thf(produc1420172399on_fml_type, type, produc1420172399on_fml: (((char > option_fml) > ((char > option_game) > (char > option_fml))) > (produc799602994n_game > (char > option_fml)))). 70.79/19.43 thf(produc159680767game_o_type, type, produc159680767game_o: (((char > option_fml) > ((char > option_game) > $o)) > (produc799602994n_game > $o))). 70.79/19.43 thf(produc347802313on_fml_type, type, produc347802313on_fml: (((char > option_fml) > ((char > option_game) > option_fml)) > (produc799602994n_game > option_fml))). 70.79/19.43 thf(produc885547027on_trm_type, type, produc885547027on_trm: (((char > option_fml) > ((char > option_game) > option_trm)) > (produc799602994n_game > option_trm))). 70.79/19.43 thf(produc1615133358on_fml_type, type, produc1615133358on_fml: (((char > option_trm) > (produc799602994n_game > (char > option_fml))) > (produc62062515n_game > (char > option_fml)))). 70.79/19.43 thf(produc1868740670game_o_type, type, produc1868740670game_o: (((char > option_trm) > (produc799602994n_game > $o)) > (produc62062515n_game > $o))). 70.79/19.43 thf(produc154833544on_fml_type, type, produc154833544on_fml: (((char > option_trm) > (produc799602994n_game > option_fml)) > (produc62062515n_game > option_fml))). 70.79/19.43 thf(produc692578258on_trm_type, type, produc692578258on_trm: (((char > option_trm) > (produc799602994n_game > option_trm)) > (produc62062515n_game > option_trm))). 70.79/19.43 thf(produc1250175341on_fml_type, type, produc1250175341on_fml: (((char > option_trm) > (produc62062515n_game > (char > option_fml))) > (produc1418842292n_game > (char > option_fml)))). 70.79/19.43 thf(produc1707653117game_o_type, type, produc1707653117game_o: (((char > option_trm) > (produc62062515n_game > $o)) > (produc1418842292n_game > $o))). 70.79/19.43 thf(produc1499310791on_fml_type, type, produc1499310791on_fml: (((char > option_trm) > (produc62062515n_game > option_fml)) > (produc1418842292n_game > option_fml))). 70.79/19.43 thf(collect_variable_type, type, collect_variable: ((variable > $o) > set_variable)). 70.79/19.43 thf(is_empty_variable_type, type, is_empty_variable: (set_variable > $o)). 70.79/19.43 thf(static_FVF_type, type, static_FVF: (fml > set_variable)). 70.79/19.43 thf(char2_type, type, char2: ($o > ($o > ($o > ($o > ($o > ($o > ($o > ($o > char))))))))). 70.79/19.43 thf(geq_type, type, geq: (trm > (trm > fml))). 70.79/19.43 thf(pred_type, type, pred: (char > (trm > fml))). 70.79/19.43 thf(const_type, type, const: (char > trm)). 70.79/19.43 thf(differential_type, type, differential: (trm > trm)). 70.79/19.43 thf(func_type, type, func: (char > (trm > trm))). 70.79/19.43 thf(number_type, type, number: (real > trm)). 70.79/19.43 thf(plus_type, type, plus: (trm > (trm > trm))). 70.79/19.43 thf(times_type, type, times: (trm > (trm > trm))). 70.79/19.43 thf(var_type, type, var: (variable > trm)). 70.79/19.43 thf(uSubst716837505ntialo_type, type, uSubst716837505ntialo: (option_trm > option_trm)). 70.79/19.43 thf(uSubst152838031e_Geqo_type, type, uSubst152838031e_Geqo: (option_trm > (option_trm > option_fml))). 70.79/19.43 thf(uSubst141955042_Pluso_type, type, uSubst141955042_Pluso: (option_trm > (option_trm > option_trm))). 70.79/19.43 thf(uSubst1367128042_Testo_type, type, uSubst1367128042_Testo: (option_fml > option_game)). 70.79/19.43 thf(uSubst918876924Timeso_type, type, uSubst918876924Timeso: (option_trm > (option_trm > option_trm))). 70.79/19.43 thf(uSubst_Mirabelle_dot_type, type, uSubst_Mirabelle_dot: trm). 70.79/19.43 thf(uSubst1408967625substt_type, type, uSubst1408967625substt: (trm > produc1418842292n_game)). 70.79/19.43 thf(uSubst516392804stappf_type, type, uSubst516392804stappf: (produc1418842292n_game > (set_variable > (fml > option_fml)))). 70.79/19.43 thf(uSubst516392818stappt_type, type, uSubst516392818stappt: (produc1418842292n_game > (set_variable > (trm > option_trm)))). 70.79/19.43 thf(member849814089n_game_type, type, member849814089n_game: (produc799602994n_game > (set_Pr79606376n_game > $o))). 70.79/19.43 thf(member774167626n_game_type, type, member774167626n_game: (produc62062515n_game > (set_Pr739694057n_game > $o))). 70.79/19.43 thf(member1940201675n_game_type, type, member1940201675n_game: (produc1418842292n_game > (set_Pr720454634n_game > $o))). 70.79/19.43 thf(member_variable_type, type, member_variable: (variable > (set_variable > $o))). 70.79/19.43 thf(ua_type, type, ua: set_variable). 70.79/19.43 thf(va_type, type, va: set_variable). 70.79/19.43 thf(sigma_type, type, sigma: produc1418842292n_game). 70.79/19.43 thf(theta_type, type, theta: trm). 70.79/19.43 thf(p_type, type, p: char). 70.79/19.43 thf(98,axiom,((! [A:((char > option_trm) > (produc62062515n_game > option_fml)),B:(produc1418842292n_game > option_fml)]: (((produc1499310791on_fml @ A) = B) <= (! [C:(char > option_trm),D:produc62062515n_game]: ((A @ C @ D) = (B @ (produc1618635950n_game @ C @ D))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_273_cond__case__prod__eta)). 70.79/19.43 thf(645,plain,((! [A:((char > option_trm) > (produc62062515n_game > option_fml)),B:(produc1418842292n_game > option_fml)]: (((produc1499310791on_fml @ (A)) = (B)) | ~ (! [C:(char > option_trm),D:produc62062515n_game]: ((A @ (C) @ D) = (B @ (produc1618635950n_game @ (C) @ D))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[98])). 70.79/19.43 thf(93,axiom,((! [A:option_trm]: ((A = none_trm) = (case_option_o_trm @ $true @ (^ [B:trm]: ($false)) @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_68_option_Odisc__eq__case_I1_J)). 70.79/19.43 thf(629,plain,((! [A:option_trm]: ((A = none_trm) = (case_option_o_trm @ $true @ (^ [B:trm]: ($false)) @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[93])). 70.79/19.43 thf(196,axiom,((! [A:produc1418842292n_game,B:set_variable,C:real]: ((uSubst516392818stappt @ A @ B @ (number @ C)) = (some_trm @ (number @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_312_usubstappt_Osimps_I2_J)). 70.79/19.43 thf(1024,plain,((! [A:produc1418842292n_game,B:set_variable,C:real]: ((uSubst516392818stappt @ A @ B @ (number @ C)) = (some_trm @ (number @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[196])). 70.79/19.43 thf(17,axiom,((! [A:variable,B:char]: ((var @ A) != (const @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_311_trm_Odistinct_I3_J)). 70.79/19.43 thf(365,plain,((! [A:variable,B:char]: ~ ((var @ A) = (const @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[17])). 70.79/19.43 thf(130,axiom,((! [A:((char > option_trm) > (produc799602994n_game > $o)),B:(char > option_trm),C:produc799602994n_game]: ((A @ B @ C) => (produc1868740670game_o @ A @ (produc1048060077n_game @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_230_case__prodI)). 70.79/19.43 thf(760,plain,((! [A:((char > option_trm) > (produc799602994n_game > $o)),B:(char > option_trm),C:produc799602994n_game]: ((A @ (B) @ C) => (produc1868740670game_o @ (A) @ (produc1048060077n_game @ (B) @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[130])). 70.79/19.43 thf(154,axiom,((! [A:option_trm]: ((A != none_trm) = (case_option_o_trm @ $false @ (^ [B:trm]: ($true)) @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_65_option_Odisc__eq__case_I2_J)). 70.79/19.43 thf(846,plain,((! [A:option_trm]: ((~ (A = none_trm)) = (case_option_o_trm @ $false @ (^ [B:trm]: ($true)) @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[154])). 70.79/19.43 thf(255,axiom,((produc1278328899on_fml = produc1250175341on_fml)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_203_internal__case__prod__def)). 70.79/19.43 thf(1315,plain,(((produc1278328899on_fml) = (produc1250175341on_fml))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[255])). 70.79/19.43 thf(45,axiom,((! [A:char,B:char]: (((const @ A) = (const @ B)) = (A = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_290_trm_Oinject_I3_J)). 70.79/19.43 thf(468,plain,((! [A:char,B:char]: (((const @ A) = (const @ B)) = (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[45])). 70.79/19.43 thf(68,axiom,((('!' @ option_trm) = (^ [A:(option_trm > $o)]: ((A @ none_trm) & ! [B:trm]: (A @ (some_trm @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_110_split__option__all)). 70.79/19.43 thf(555,plain,((('!' @ option_trm) = (^ [A:(option_trm > $o)]: ((A @ none_trm) & ! [B:trm]: (A @ (some_trm @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[68])). 70.79/19.43 thf(217,axiom,((! [A:(option_fml > option_trm),B:((char > option_fml) > ((char > option_game) > option_fml)),C:produc799602994n_game]: ((A @ (produc347802313on_fml @ B @ C)) = (produc885547027on_trm @ (^ [D:(char > option_fml),E:(char > option_game)]: (A @ (B @ D @ E))) @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_17_prod_Ocase__distrib)). 70.79/19.43 thf(1110,plain,((! [A:(option_fml > option_trm),B:((char > option_fml) > ((char > option_game) > option_fml)),C:produc799602994n_game]: ((A @ (produc347802313on_fml @ (B) @ C)) = (produc885547027on_trm @ (^ [D:(char > option_fml),E:(char > option_game)]: (A @ (B @ D @ E))) @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[217])). 70.79/19.43 thf(13,axiom,((! [A:variable,B:set_variable,C:set_variable]: ((member_variable @ A @ (inf_inf_set_variable @ B @ C)) = ((member_variable @ A @ B) & (member_variable @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_144_Int__iff)). 70.79/19.43 thf(352,plain,((! [A:variable,B:set_variable,C:set_variable]: ((member_variable @ A @ (inf_inf_set_variable @ B @ C)) = ((member_variable @ A @ B) & (member_variable @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[13])). 70.79/19.43 thf(8,axiom,((! [A:real,B:char,C:trm]: ((number @ A) != (func @ B @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_307_trm_Odistinct_I15_J)). 70.79/19.43 thf(333,plain,((! [A:real,B:char,C:trm]: ~ ((number @ A) = (func @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[8])). 70.79/19.43 thf(199,axiom,((! [A:$o,B:(game > $o),C:option_game]: (((~ (! [D:game]: ((~ (B @ D)) <= (C = (some_game @ D))))) <= ((~ (A)) <= (C = none_game))) <= (case_option_o_game @ A @ B @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_76_case__optionE)). 70.79/19.43 thf(1031,plain,((! [A:$o,B:(game > $o),C:option_game]: (~ (! [D:game]: (~ (B @ D) | ~ (C = (some_game @ D)))) | ~ (~ (A) | ~ (C = none_game)) | ~ (case_option_o_game @ A @ (B) @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[199])). 70.79/19.43 thf(192,axiom,((! [A:option_game,B:option_game]: (((A = none_game) = (B = none_game)) => (((A != none_game) => (((the_game @ A) = (the_game @ B)) <= (B != none_game))) => (A = B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_126_option_Oexpand)). 70.79/19.43 thf(1005,plain,((! [A:option_game,B:option_game]: (((A = none_game) = (B = none_game)) => (((~ (A = none_game)) => (((the_game @ A) = (the_game @ B)) | (B = none_game))) => (A = B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[192])). 70.79/19.43 thf(308,axiom,((! [A:produc1418842292n_game,B:set_variable,C:char,D:trm]: ((((uSubst516392818stappt @ A @ B @ D) != none_trm) & (((produc1250175341on_fml @ (^ [E:(char > option_trm)]: (produc1615133358on_fml @ (^ [F:(char > option_trm)]: (produc1420172399on_fml @ (^ [G:(char > option_fml),H:(char > option_game)]: (G)))))) @ A @ C) = none_fml) | ? [E:fml]: (((inf_inf_set_variable @ (static_FVF @ E) @ B) = bot_bot_set_variable) & ((produc1250175341on_fml @ (^ [F:(char > option_trm)]: (produc1615133358on_fml @ (^ [G:(char > option_trm)]: (produc1420172399on_fml @ (^ [H:(char > option_fml),I:(char > option_game)]: (H)))))) @ A @ C) = (some_fml @ E))))) <= ((uSubst516392804stappf @ A @ B @ (pred @ C @ D)) != none_fml)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_139_usubstappf__pred__conv)). 70.79/19.43 thf(1522,plain,((! [A:produc1418842292n_game,B:set_variable,C:char,D:trm]: ((~ ((uSubst516392818stappt @ A @ B @ D) = none_trm) & (((produc1250175341on_fml @ (^ [E:(char > option_trm)]: (produc1615133358on_fml @ (^ [F:(char > option_trm)]: (produc1420172399on_fml @ (^ [G:(char > option_fml),H:(char > option_game)]: (G)))))) @ A @ C) = none_fml) | ? [E:fml]: (((inf_inf_set_variable @ (static_FVF @ E) @ B) = bot_bot_set_variable) & ((produc1250175341on_fml @ (^ [F:(char > option_trm)]: (produc1615133358on_fml @ (^ [G:(char > option_trm)]: (produc1420172399on_fml @ (^ [H:(char > option_fml),I:(char > option_game)]: (H)))))) @ A @ C) = (some_fml @ E))))) | ((uSubst516392804stappf @ A @ B @ (pred @ C @ D)) = none_fml)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[308])). 70.79/19.43 thf(283,axiom,(((uSubst516392804stappf @ sigma @ ua @ (pred @ p @ theta)) != none_fml)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_Pred_Oprems_I1_J)). 70.79/19.43 thf(1422,plain,((~ ((uSubst516392804stappf @ sigma @ ua @ (pred @ p @ theta)) = none_fml))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[283])). 70.79/19.43 thf(39,axiom,((! [A:trm,B:trm,C:trm,D:trm]: (((plus @ A @ B) = (plus @ C @ D)) = ((A = C) & (B = D))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_317_trm_Oinject_I5_J)). 70.79/19.43 thf(449,plain,((! [A:trm,B:trm,C:trm,D:trm]: (((plus @ A @ B) = (plus @ C @ D)) = ((A = C) & (B = D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[39])). 70.79/19.43 thf(88,axiom,((! [A:option_game]: ((! [B:game]: (A != (some_game @ B))) = (A = none_game)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_42_not__Some__eq)). 70.79/19.43 thf(614,plain,((! [A:option_game]: ((! [B:game]: ~ (A = (some_game @ B))) = (A = none_game)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[88])). 70.79/19.43 thf(78,axiom,((! [A:option_trm]: (((some_trm @ (the_trm @ A)) = A) <= (A != none_trm)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_38_option_Ocollapse)). 70.79/19.43 thf(582,plain,((! [A:option_trm]: (((some_trm @ (the_trm @ A)) = A) | (A = none_trm)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[78])). 70.79/19.43 thf(131,axiom,((! [A:fml]: ((the_fml @ (some_fml @ A)) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_130_option_Osel)). 70.79/19.43 thf(762,plain,((! [A:fml]: ((the_fml @ (some_fml @ A)) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[131])). 70.79/19.43 thf(67,axiom,((! [A:set_variable,B:set_variable,C:set_variable,D:set_variable]: ((A = (inf_inf_set_variable @ B @ C)) => ((inf_inf_set_variable @ A @ D) = (inf_inf_set_variable @ B @ (inf_inf_set_variable @ C @ D)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_84_boolean__algebra__cancel_Oinf1)). 70.79/19.43 thf(550,plain,((! [A:set_variable,B:set_variable,C:set_variable,D:set_variable]: ((A = (inf_inf_set_variable @ B @ C)) => ((inf_inf_set_variable @ A @ D) = (inf_inf_set_variable @ B @ (inf_inf_set_variable @ C @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[67])). 70.79/19.43 thf(110,axiom,((! [A:option_fml,B:(trm > option_fml),C:trm]: ((case_o325794063ml_trm @ A @ B @ (some_trm @ C)) = (B @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_128_option_Osimps_I5_J)). 70.79/19.43 thf(698,plain,((! [A:option_fml,B:(trm > option_fml),C:trm]: ((case_o325794063ml_trm @ A @ (B) @ (some_trm @ C)) = (B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[110])). 70.79/19.43 thf(167,axiom,((! [A:$o]: ((A = $true) | (A = $false)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_3_1_If_001t__Option__Ooption_It__Syntax__Otrm_J_T)). 70.79/19.43 thf(913,plain,($true),inference(defexp_and_simp_and_etaexpand,[status(thm)],[167])). 70.79/19.43 thf(207,axiom,((! [A:trm]: ((the_trm @ (some_trm @ A)) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_131_option_Osel)). 70.79/19.43 thf(1063,plain,((! [A:trm]: ((the_trm @ (some_trm @ A)) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[207])). 70.79/19.43 thf(102,axiom,((! [A:(option_fml > option_fml),B:option_fml,C:(trm > option_fml),D:option_trm]: ((A @ (case_o325794063ml_trm @ B @ C @ D)) = (case_o325794063ml_trm @ (A @ B) @ (^ [E:trm]: (A @ (C @ E))) @ D)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_90_option_Ocase__distrib)). 70.79/19.43 thf(670,plain,((! [A:(option_fml > option_fml),B:option_fml,C:(trm > option_fml),D:option_trm]: ((A @ (case_o325794063ml_trm @ B @ (C) @ D)) = (case_o325794063ml_trm @ (A @ B) @ (^ [E:trm]: (A @ (C @ E))) @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[102])). 70.79/19.43 thf(253,axiom,(((case_o325794063ml_trm @ none_fml @ (^ [A:trm]: (case_o209804997ml_fml @ (some_fml @ (pred @ p @ A)) @ (^ [B:fml]: (if_option_fml @ ((inf_inf_set_variable @ (static_FVF @ B) @ ua) = bot_bot_set_variable) @ (uSubst516392804stappf @ (uSubst1408967625substt @ A) @ bot_bot_set_variable @ B) @ none_fml)) @ (produc1250175341on_fml @ (^ [B:(char > option_trm)]: (produc1615133358on_fml @ (^ [C:(char > option_trm)]: (produc1420172399on_fml @ (^ [D:(char > option_fml),E:(char > option_game)]: (D)))))) @ sigma @ p))) @ (uSubst516392818stappt @ sigma @ ua @ theta)) = (case_o209804997ml_fml @ (some_fml @ (pred @ p @ (the_trm @ (uSubst516392818stappt @ sigma @ ua @ theta)))) @ (^ [A:fml]: (if_option_fml @ ((inf_inf_set_variable @ (static_FVF @ A) @ ua) = bot_bot_set_variable) @ (uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (uSubst516392818stappt @ sigma @ ua @ theta))) @ bot_bot_set_variable @ A) @ none_fml)) @ (produc1250175341on_fml @ (^ [A:(char > option_trm)]: (produc1615133358on_fml @ (^ [B:(char > option_trm)]: (produc1420172399on_fml @ (^ [C:(char > option_fml),D:(char > option_game)]: (C)))))) @ sigma @ p)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_33_f3)). 70.79/19.43 thf(1310,plain,(((case_o325794063ml_trm @ none_fml @ (^ [A:trm]: (case_o209804997ml_fml @ (some_fml @ (pred @ p @ A)) @ (^ [B:fml]: (if_option_fml @ ((inf_inf_set_variable @ (static_FVF @ B) @ ua) = bot_bot_set_variable) @ (uSubst516392804stappf @ (uSubst1408967625substt @ A) @ bot_bot_set_variable @ B) @ none_fml)) @ (produc1250175341on_fml @ (^ [B:(char > option_trm)]: (produc1615133358on_fml @ (^ [C:(char > option_trm)]: (produc1420172399on_fml @ (^ [D:(char > option_fml),E:(char > option_game)]: (D)))))) @ sigma @ p))) @ (uSubst516392818stappt @ sigma @ ua @ theta)) = (case_o209804997ml_fml @ (some_fml @ (pred @ p @ (the_trm @ (uSubst516392818stappt @ sigma @ ua @ theta)))) @ (^ [A:fml]: (if_option_fml @ ((inf_inf_set_variable @ (static_FVF @ A) @ ua) = bot_bot_set_variable) @ (uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (uSubst516392818stappt @ sigma @ ua @ theta))) @ bot_bot_set_variable @ A) @ none_fml)) @ (produc1250175341on_fml @ (^ [A:(char > option_trm)]: (produc1615133358on_fml @ (^ [B:(char > option_trm)]: (produc1420172399on_fml @ (^ [C:(char > option_fml),D:(char > option_game)]: (C)))))) @ sigma @ p)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[253])). 70.79/19.43 thf(61,axiom,((! [A:(variable > $o),B:(variable > $o)]: ((collect_variable @ (^ [C:variable]: ((B @ C) & (A @ C)))) = (inf_inf_set_variable @ (collect_variable @ A) @ (collect_variable @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_177_Collect__conj__eq)). 70.79/19.43 thf(533,plain,((! [A:(variable > $o),B:(variable > $o)]: ((collect_variable @ (^ [C:variable]: ((B @ C) & (A @ C)))) = (inf_inf_set_variable @ (collect_variable @ (A)) @ (collect_variable @ (B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[61])). 70.79/19.43 thf(191,axiom,((! [A:produc1418842292n_game,B:set_variable,C:trm,D:trm]: (((uSubst516392818stappt @ A @ B @ C) != none_trm) => (((uSubst516392804stappf @ A @ B @ (geq @ C @ D)) = (some_fml @ (geq @ (the_trm @ (uSubst516392818stappt @ A @ B @ C)) @ (the_trm @ (uSubst516392818stappt @ A @ B @ D))))) <= ((uSubst516392818stappt @ A @ B @ D) != none_trm))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_189_usubstappf__geq)). 70.79/19.43 thf(1001,plain,((! [A:produc1418842292n_game,B:set_variable,C:trm,D:trm]: ((~ ((uSubst516392818stappt @ A @ B @ C) = none_trm)) => (((uSubst516392804stappf @ A @ B @ (geq @ C @ D)) = (some_fml @ (geq @ (the_trm @ (uSubst516392818stappt @ A @ B @ C)) @ (the_trm @ (uSubst516392818stappt @ A @ B @ D))))) | ((uSubst516392818stappt @ A @ B @ D) = none_trm))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[191])). 70.79/19.43 thf(272,axiom,(((case_o325794063ml_trm @ none_fml @ (^ [A:trm]: (case_o209804997ml_fml @ (some_fml @ (pred @ p @ A)) @ (^ [B:fml]: (if_option_fml @ ((inf_inf_set_variable @ (static_FVF @ B) @ va) = bot_bot_set_variable) @ (uSubst516392804stappf @ (uSubst1408967625substt @ A) @ bot_bot_set_variable @ B) @ none_fml)) @ (produc1250175341on_fml @ (^ [B:(char > option_trm)]: (produc1615133358on_fml @ (^ [C:(char > option_trm)]: (produc1420172399on_fml @ (^ [D:(char > option_fml),E:(char > option_game)]: (D)))))) @ sigma @ p))) @ (uSubst516392818stappt @ sigma @ va @ theta)) != none_fml)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_36_f4)). 70.79/19.43 thf(1391,plain,((~ ((case_o325794063ml_trm @ none_fml @ (^ [A:trm]: (case_o209804997ml_fml @ (some_fml @ (pred @ p @ A)) @ (^ [B:fml]: (if_option_fml @ ((inf_inf_set_variable @ (static_FVF @ B) @ va) = bot_bot_set_variable) @ (uSubst516392804stappf @ (uSubst1408967625substt @ A) @ bot_bot_set_variable @ B) @ none_fml)) @ (produc1250175341on_fml @ (^ [B:(char > option_trm)]: (produc1615133358on_fml @ (^ [C:(char > option_trm)]: (produc1420172399on_fml @ (^ [D:(char > option_fml),E:(char > option_game)]: (D)))))) @ sigma @ p))) @ (uSubst516392818stappt @ sigma @ va @ theta)) = none_fml))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[272])). 70.79/19.43 thf(138,axiom,((! [A:option_fml,B:(trm > option_fml),C:option_trm]: (((C = none_trm) => ((case_o325794063ml_trm @ A @ B @ C) = A)) & (((case_o325794063ml_trm @ A @ B @ C) = (B @ (the_trm @ C))) <= (C != none_trm))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_52_f2)). 70.79/19.43 thf(782,plain,((! [A:option_fml,B:(trm > option_fml),C:option_trm]: (((C = none_trm) => ((case_o325794063ml_trm @ A @ (B) @ C) = A)) & (((case_o325794063ml_trm @ A @ (B) @ C) = (B @ (the_trm @ C))) | (C = none_trm))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[138])). 70.79/19.43 thf(265,axiom,((! [A:produc46605351on_fml]: ((! [B:fml,C:fml]: (A != (produc909629463on_fml @ (some_fml @ B) @ (some_fml @ C)))) => ((! [B:option_fml]: (A != (produc909629463on_fml @ none_fml @ B))) => (~ (! [B:fml]: (A != (produc909629463on_fml @ (some_fml @ B) @ none_fml)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_297_Ando_Ocases)). 70.79/19.43 thf(1359,plain,((! [A:produc46605351on_fml]: ((! [B:fml,C:fml]: ~ (A = (produc909629463on_fml @ (some_fml @ B) @ (some_fml @ C)))) => ((! [B:option_fml]: ~ (A = (produc909629463on_fml @ none_fml @ B))) => (~ (! [B:fml]: ~ (A = (produc909629463on_fml @ (some_fml @ B) @ none_fml)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[265])). 70.79/19.43 thf(309,axiom,((produc1250175341on_fml = (^ [A:((char > option_trm) > (produc62062515n_game > (char > option_fml))),B:produc1418842292n_game,C:char]: (produc1499310791on_fml @ (^ [D:(char > option_trm),E:produc62062515n_game]: (A @ D @ E @ C)) @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_case__prod__app)). 70.79/19.43 thf(1529,plain,(((produc1250175341on_fml) = (^ [A:((char > option_trm) > (produc62062515n_game > (char > option_fml))),B:produc1418842292n_game,C:char]: (produc1499310791on_fml @ (^ [D:(char > option_trm),E:produc62062515n_game]: (A @ D @ E @ C)) @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[309])). 70.79/19.43 thf(299,axiom,(((uSubst1367128042_Testo @ none_fml) = none_game)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_286_Testo_Osimps_I2_J)). 70.79/19.43 thf(1482,plain,(((uSubst1367128042_Testo @ none_fml) = none_game)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[299])). 70.79/19.43 thf(247,axiom,((! [A:option_fml]: ((A != none_fml) = (? [B:fml]: (A = (some_fml @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_14_undeff__equiv)). 70.79/19.43 thf(1243,plain,((! [A:option_fml]: ((~ (A = none_fml)) = (? [B:fml]: (A = (some_fml @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[247])). 70.79/19.43 thf(222,axiom,((produc1591622303on_fml = produc347802313on_fml)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_208_internal__case__prod__def)). 70.79/19.43 thf(1127,plain,(((produc1591622303on_fml) = (produc347802313on_fml))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[222])). 70.79/19.43 thf(74,axiom,((! [A:set_variable,B:set_variable,C:set_variable]: ((inf_inf_set_variable @ A @ (inf_inf_set_variable @ B @ C)) = (inf_inf_set_variable @ B @ (inf_inf_set_variable @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_77_inf__left__commute)). 70.79/19.43 thf(570,plain,((! [A:set_variable,B:set_variable,C:set_variable]: ((inf_inf_set_variable @ A @ (inf_inf_set_variable @ B @ C)) = (inf_inf_set_variable @ B @ (inf_inf_set_variable @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[74])). 70.79/19.43 thf(118,axiom,((! [A:(option_trm > $o),B:option_trm]: (((A @ none_trm) => (A @ B)) <= (! [C:trm]: (A @ (some_trm @ C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_161_Differentialo_Oinduct)). 70.79/19.43 thf(719,plain,((! [A:(option_trm > $o),B:option_trm]: (((A @ none_trm) => (A @ B)) | ~ (! [C:trm]: (A @ (some_trm @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[118])). 70.79/19.43 thf(19,axiom,((! [A:real,B:trm]: ((number @ A) != (differential @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_324_trm_Odistinct_I21_J)). 70.79/19.43 thf(372,plain,((! [A:real,B:trm]: ~ ((number @ A) = (differential @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[19])). 70.79/19.43 thf(257,axiom,((('!' @ option_fml) = (^ [A:(option_fml > $o)]: (! [B:fml]: (A @ (some_fml @ B)) & (A @ none_fml))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_109_split__option__all)). 70.79/19.43 thf(1330,plain,((('!' @ option_fml) = (^ [A:(option_fml > $o)]: (! [B:fml]: (A @ (some_fml @ B)) & (A @ none_fml))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[257])). 70.79/19.43 thf(143,axiom,((! [A:produc1024976764on_trm]: ((~ (! [B:variable]: (A != (produc1743721902on_trm @ B @ none_trm)))) <= (! [B:variable,C:trm]: (A != (produc1743721902on_trm @ B @ (some_trm @ C))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_294_Assigno_Ocases)). 70.79/19.43 thf(802,plain,((! [A:produc1024976764on_trm]: (~ (! [B:variable]: ~ (A = (produc1743721902on_trm @ B @ none_trm))) | ~ (! [B:variable,C:trm]: ~ (A = (produc1743721902on_trm @ B @ (some_trm @ C))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[143])). 70.79/19.43 thf(304,axiom,((! [A:((char > option_fml) > ((char > option_game) > (char > option_fml))),B:(char > option_fml),C:(char > option_game)]: ((produc1420172399on_fml @ A @ (produc123610156n_game @ B @ C)) = (A @ B @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_241_case__prod__conv)). 70.79/19.43 thf(1511,plain,((! [A:((char > option_fml) > ((char > option_game) > (char > option_fml))),B:(char > option_fml),C:(char > option_game)]: ((produc1420172399on_fml @ (A) @ (produc123610156n_game @ B @ C)) = (A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[304])). 70.79/19.43 thf(169,axiom,((! [A:set_Pr739694057n_game,B:set_Pr739694057n_game]: (((^ [C:(char > option_trm),D:produc799602994n_game]: (member774167626n_game @ (produc1048060077n_game @ C @ D) @ A)) = (^ [C:(char > option_trm),D:produc799602994n_game]: (member774167626n_game @ (produc1048060077n_game @ C @ D) @ B))) = (A = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_262_pred__equals__eq2)). 70.79/19.43 thf(917,plain,((! [A:set_Pr739694057n_game,B:set_Pr739694057n_game]: (((^ [C:(char > option_trm),D:produc799602994n_game]: (member774167626n_game @ (produc1048060077n_game @ C @ D) @ A)) = (^ [C:(char > option_trm),D:produc799602994n_game]: (member774167626n_game @ (produc1048060077n_game @ C @ D) @ B))) = (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[169])). 70.79/19.43 thf(206,axiom,((! [A:produc464795408on_trm]: ((! [B:char,C:trm]: (A != (produc1500300866on_trm @ B @ (some_trm @ C)))) => (~ (! [B:char]: (A != (produc1500300866on_trm @ B @ none_trm))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_293_ODEo_Ocases)). 70.79/19.43 thf(1059,plain,((! [A:produc464795408on_trm]: ((! [B:char,C:trm]: ~ (A = (produc1500300866on_trm @ B @ (some_trm @ C)))) => (~ (! [B:char]: ~ (A = (produc1500300866on_trm @ B @ none_trm))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[206])). 70.79/19.43 thf(224,axiom,((! [A:option_trm,B:(option_trm > (option_trm > $o)),C:option_trm]: ((((! [D:trm,E:trm]: ((A = (some_trm @ D)) => ((B @ A @ C) <= (C = (some_trm @ E))))) => (B @ A @ C)) <= ((C = none_trm) => (B @ A @ C))) <= ((A = none_trm) => (B @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_116_combine__options__cases)). 70.79/19.43 thf(1132,plain,((! [A:option_trm,B:(option_trm > (option_trm > $o)),C:option_trm]: (((! [D:trm,E:trm]: ((A = (some_trm @ D)) => ((B @ A @ C) | ~ (C = (some_trm @ E))))) => (B @ A @ C)) | ~ ((C = none_trm) => (B @ A @ C)) | ~ ((A = none_trm) => (B @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[224])). 70.79/19.43 thf(147,axiom,((case_o487727941rm_trm = (^ [A:option_trm,B:(trm > option_trm),C:option_trm]: (if_option_trm @ (C = none_trm) @ A @ (B @ (the_trm @ C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_138_option_Ocase__eq__if)). 70.79/19.43 thf(817,plain,(((case_o487727941rm_trm) = (^ [A:option_trm,B:(trm > option_trm),C:option_trm]: (if_option_trm @ (C = none_trm) @ A @ (B @ (the_trm @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[147])). 70.79/19.43 thf(305,axiom,(((case_o325794063ml_trm @ none_fml @ (^ [A:trm]: (case_o209804997ml_fml @ (some_fml @ (pred @ p @ A)) @ (^ [B:fml]: (if_option_fml @ ((inf_inf_set_variable @ (static_FVF @ B) @ va) = bot_bot_set_variable) @ (uSubst516392804stappf @ (uSubst1408967625substt @ A) @ bot_bot_set_variable @ B) @ none_fml)) @ (produc1250175341on_fml @ (^ [B:(char > option_trm)]: (produc1615133358on_fml @ (^ [C:(char > option_trm)]: (produc1420172399on_fml @ (^ [D:(char > option_fml),E:(char > option_game)]: (D)))))) @ sigma @ p))) @ (uSubst516392818stappt @ sigma @ va @ theta)) = (case_o209804997ml_fml @ (some_fml @ (pred @ p @ (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta)))) @ (^ [A:fml]: (if_option_fml @ ((inf_inf_set_variable @ (static_FVF @ A) @ va) = bot_bot_set_variable) @ (uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta))) @ bot_bot_set_variable @ A) @ none_fml)) @ (produc1250175341on_fml @ (^ [A:(char > option_trm)]: (produc1615133358on_fml @ (^ [B:(char > option_trm)]: (produc1420172399on_fml @ (^ [C:(char > option_fml),D:(char > option_game)]: (C)))))) @ sigma @ p)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_34_f8)). 70.79/19.43 thf(1514,plain,(((case_o325794063ml_trm @ none_fml @ (^ [A:trm]: (case_o209804997ml_fml @ (some_fml @ (pred @ p @ A)) @ (^ [B:fml]: (if_option_fml @ ((inf_inf_set_variable @ (static_FVF @ B) @ va) = bot_bot_set_variable) @ (uSubst516392804stappf @ (uSubst1408967625substt @ A) @ bot_bot_set_variable @ B) @ none_fml)) @ (produc1250175341on_fml @ (^ [B:(char > option_trm)]: (produc1615133358on_fml @ (^ [C:(char > option_trm)]: (produc1420172399on_fml @ (^ [D:(char > option_fml),E:(char > option_game)]: (D)))))) @ sigma @ p))) @ (uSubst516392818stappt @ sigma @ va @ theta)) = (case_o209804997ml_fml @ (some_fml @ (pred @ p @ (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta)))) @ (^ [A:fml]: (if_option_fml @ ((inf_inf_set_variable @ (static_FVF @ A) @ va) = bot_bot_set_variable) @ (uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta))) @ bot_bot_set_variable @ A) @ none_fml)) @ (produc1250175341on_fml @ (^ [A:(char > option_trm)]: (produc1615133358on_fml @ (^ [B:(char > option_trm)]: (produc1420172399on_fml @ (^ [C:(char > option_fml),D:(char > option_game)]: (C)))))) @ sigma @ p)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[305])). 70.79/19.43 thf(31,axiom,((! [A:char,B:option_trm,C:char,D:option_trm]: (((produc1500300866on_trm @ A @ B) = (produc1500300866on_trm @ C @ D)) = ((B = D) & (A = C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_216_prod_Oinject)). 70.79/19.43 thf(421,plain,((! [A:char,B:option_trm,C:char,D:option_trm]: (((produc1500300866on_trm @ A @ B) = (produc1500300866on_trm @ C @ D)) = ((B = D) & (A = C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[31])). 70.79/19.43 thf(263,axiom,((! [A:option_fml,B:option_fml]: (((A = B) <= ((A != none_fml) => (((the_fml @ A) = (the_fml @ B)) <= (B != none_fml)))) <= ((A = none_fml) = (B = none_fml))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_124_option_Oexpand)). 70.79/19.43 thf(1347,plain,((! [A:option_fml,B:option_fml]: ((A = B) | ~ ((~ (A = none_fml)) => (((the_fml @ A) = (the_fml @ B)) | (B = none_fml))) | ~ ((A = none_fml) = (B = none_fml))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[263])). 70.79/19.43 thf(301,axiom,((! [A:option_game,B:(option_game > (option_fml > $o)),C:option_fml]: (((B @ A @ C) <= (A = none_game)) => (((B @ A @ C) <= (! [D:game,E:fml]: ((A = (some_game @ D)) => ((B @ A @ C) <= (C = (some_fml @ E)))))) <= ((B @ A @ C) <= (C = none_fml)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_118_combine__options__cases)). 70.79/19.43 thf(1489,plain,((! [A:option_game,B:(option_game > (option_fml > $o)),C:option_fml]: (((B @ A @ C) | ~ (A = none_game)) => ((B @ A @ C) | ~ (! [D:game,E:fml]: ((A = (some_game @ D)) => ((B @ A @ C) | ~ (C = (some_fml @ E))))) | ~ ((B @ A @ C) | ~ (C = none_fml)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[301])). 70.79/19.43 thf(81,axiom,((! [A:produc1418842292n_game,B:set_variable,C:trm,D:trm]: (((uSubst516392818stappt @ A @ B @ (times @ C @ D)) != none_trm) => (((uSubst516392818stappt @ A @ B @ D) != none_trm) & ((uSubst516392818stappt @ A @ B @ C) != none_trm))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_337_usubstappt__times__conv)). 70.79/19.43 thf(591,plain,((! [A:produc1418842292n_game,B:set_variable,C:trm,D:trm]: ((~ ((uSubst516392818stappt @ A @ B @ (times @ C @ D)) = none_trm)) => (~ ((uSubst516392818stappt @ A @ B @ D) = none_trm) & ~ ((uSubst516392818stappt @ A @ B @ C) = none_trm))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[81])). 70.79/19.43 thf(20,axiom,((! [A:(trm > $o),B:trm]: ((! [C:variable]: (A @ (var @ C))) => (((! [C:char]: (A @ (const @ C))) => (((! [C:trm,D:trm]: (((A @ (plus @ C @ D)) <= (A @ D)) <= (A @ C))) => (((A @ B) <= (! [C:trm]: ((A @ (differential @ C)) <= (A @ C)))) <= (! [C:trm,D:trm]: (((A @ (times @ C @ D)) <= (A @ D)) <= (A @ C))))) <= (! [C:char,D:trm]: ((A @ D) => (A @ (func @ C @ D)))))) <= (! [C:real]: (A @ (number @ C))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_326_trm_Oinduct)). 70.79/19.43 thf(376,plain,((! [A:(trm > $o),B:trm]: ((! [C:variable]: (A @ (var @ C))) => (((! [C:char]: (A @ (const @ C))) => (((! [C:trm,D:trm]: ((A @ (plus @ C @ D)) | ~ (A @ D) | ~ (A @ C))) => ((A @ B) | ~ (! [C:trm]: ((A @ (differential @ C)) | ~ (A @ C))) | ~ (! [C:trm,D:trm]: ((A @ (times @ C @ D)) | ~ (A @ D) | ~ (A @ C))))) | ~ (! [C:char,D:trm]: ((A @ D) => (A @ (func @ C @ D)))))) | ~ (! [C:real]: (A @ (number @ C))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[20])). 70.79/19.43 thf(91,axiom,((produc2129367017on_trm = produc885547027on_trm)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_209_internal__case__prod__def)). 70.79/19.43 thf(623,plain,(((produc2129367017on_trm) = (produc885547027on_trm))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[91])). 70.79/19.43 thf(226,axiom,((! [A:option_trm]: (((uSubst716837505ntialo @ A) = none_trm) = (A = none_trm)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_344_Differentialo__undef)). 70.79/19.43 thf(1151,plain,((! [A:option_trm]: (((uSubst716837505ntialo @ A) = none_trm) = (A = none_trm)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[226])). 70.79/19.43 thf(269,axiom,((produc1615133358on_fml = (^ [A:((char > option_trm) > (produc799602994n_game > (char > option_fml))),B:produc62062515n_game,C:char]: (produc154833544on_fml @ (^ [D:(char > option_trm),E:produc799602994n_game]: (A @ D @ E @ C)) @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_case__prod__app)). 70.79/19.43 thf(1383,plain,(((produc1615133358on_fml) = (^ [A:((char > option_trm) > (produc799602994n_game > (char > option_fml))),B:produc62062515n_game,C:char]: (produc154833544on_fml @ (^ [D:(char > option_trm),E:produc799602994n_game]: (A @ D @ E @ C)) @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[269])). 70.79/19.43 thf(144,axiom,((! [A:(option_game > $o),B:option_game]: (((A @ none_game) => (A @ B)) <= (! [C:game]: (A @ (some_game @ C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_154_Loopo_Oinduct)). 70.79/19.43 thf(806,plain,((! [A:(option_game > $o),B:option_game]: (((A @ none_game) => (A @ B)) | ~ (! [C:game]: (A @ (some_game @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[144])). 70.79/19.43 thf(203,axiom,((! [A:(produc62062515n_game > option_fml)]: ((produc154833544on_fml @ (^ [B:(char > option_trm),C:produc799602994n_game]: (A @ (produc1048060077n_game @ B @ C)))) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_281_case__prod__eta)). 70.79/19.43 thf(1051,plain,((! [A:(produc62062515n_game > option_fml)]: ((produc154833544on_fml @ (^ [B:(char > option_trm),C:produc799602994n_game]: (A @ (produc1048060077n_game @ B @ C)))) = (A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[203])). 70.79/19.43 thf(49,axiom,((! [A:variable,B:set_variable,C:set_variable]: ((member_variable @ A @ (inf_inf_set_variable @ B @ C)) => (member_variable @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_169_IntD1)). 70.79/19.43 thf(480,plain,((! [A:variable,B:set_variable,C:set_variable]: ((member_variable @ A @ (inf_inf_set_variable @ B @ C)) => (member_variable @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[49])). 70.79/19.44 thf(84,axiom,((! [A:(produc799602994n_game > option_fml)]: ((produc347802313on_fml @ (^ [B:(char > option_fml),C:(char > option_game)]: (A @ (produc123610156n_game @ B @ C)))) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_279_case__prod__eta)). 70.79/19.44 thf(602,plain,((! [A:(produc799602994n_game > option_fml)]: ((produc347802313on_fml @ (^ [B:(char > option_fml),C:(char > option_game)]: (A @ (produc123610156n_game @ B @ C)))) = (A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[84])). 70.79/19.44 thf(108,axiom,((! [A:((char > option_trm) > (produc799602994n_game > option_fml)),B:(produc62062515n_game > option_fml)]: (((produc154833544on_fml @ A) = B) <= (! [C:(char > option_trm),D:produc799602994n_game]: ((A @ C @ D) = (B @ (produc1048060077n_game @ C @ D))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_271_cond__case__prod__eta)). 70.79/19.44 thf(692,plain,((! [A:((char > option_trm) > (produc799602994n_game > option_fml)),B:(produc62062515n_game > option_fml)]: (((produc154833544on_fml @ (A)) = (B)) | ~ (! [C:(char > option_trm),D:produc799602994n_game]: ((A @ (C) @ D) = (B @ (produc1048060077n_game @ (C) @ D))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[108])). 70.79/19.44 thf(122,axiom,((! [A:set_variable,B:set_variable]: ((inf_inf_set_variable @ (inf_inf_set_variable @ A @ B) @ B) = (inf_inf_set_variable @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_54_inf_Oright__idem)). 70.79/19.44 thf(734,plain,((! [A:set_variable,B:set_variable]: ((inf_inf_set_variable @ (inf_inf_set_variable @ A @ B) @ B) = (inf_inf_set_variable @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[122])). 70.79/19.44 thf(135,axiom,((('?' @ option_trm) = (^ [A:(option_trm > $o)]: ((A @ none_trm) | ? [B:trm]: (A @ (some_trm @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_107_split__option__ex)). 70.79/19.44 thf(774,plain,((('?' @ option_trm) = (^ [A:(option_trm > $o)]: ((A @ none_trm) | ? [B:trm]: (A @ (some_trm @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[135])). 70.79/19.44 thf(273,axiom,((uSubst1408967625substt = (^ [A:trm]: (produc1618635950n_game @ (^ [B:char]: (if_option_trm @ (B = (char2 @ $false @ $true @ $true @ $true @ $false @ $true @ $false @ $false)) @ (some_trm @ A) @ none_trm)) @ (produc1048060077n_game @ (^ [B:char]: (none_trm)) @ (produc123610156n_game @ (^ [B:char]: (none_fml)) @ (^ [B:char]: (none_game)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_315_dotsubstt__def)). 70.79/19.44 thf(1394,plain,(((uSubst1408967625substt) = (^ [A:trm]: (produc1618635950n_game @ (^ [B:char]: (if_option_trm @ (B = (char2 @ $false @ $true @ $true @ $true @ $false @ $true @ $false @ $false)) @ (some_trm @ A) @ none_trm)) @ (produc1048060077n_game @ (^ [B:char]: (none_trm)) @ (produc123610156n_game @ (^ [B:char]: (none_fml)) @ (^ [B:char]: (none_game)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[273])). 70.79/19.44 thf(190,axiom,((! [A:(char > option_trm),B:produc62062515n_game,C:(char > option_trm),D:produc62062515n_game]: (((produc1618635950n_game @ A @ B) = (produc1618635950n_game @ C @ D)) = ((B = D) & (A = C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_223_old_Oprod_Oinject)). 70.79/19.44 thf(998,plain,((! [A:(char > option_trm),B:produc62062515n_game,C:(char > option_trm),D:produc62062515n_game]: (((produc1618635950n_game @ (A) @ B) = (produc1618635950n_game @ (C) @ D)) = ((B = D) & ((A) = (C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[190])). 70.79/19.44 thf(287,axiom,((! [A:(option_fml > (option_fml > $o)),B:option_fml,C:option_fml]: ((((A @ B @ C) <= (! [D:fml]: (A @ (some_fml @ D) @ none_fml))) <= (! [D:option_fml]: (A @ none_fml @ D))) <= (! [D:fml,E:fml]: (A @ (some_fml @ D) @ (some_fml @ E)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_11_Ando_Oinduct)). 70.79/19.44 thf(1433,plain,((! [A:(option_fml > (option_fml > $o)),B:option_fml,C:option_fml]: ((A @ B @ C) | ~ (! [D:fml]: (A @ (some_fml @ D) @ none_fml)) | ~ (! [D:option_fml]: (A @ none_fml @ D)) | ~ (! [D:fml,E:fml]: (A @ (some_fml @ D) @ (some_fml @ E)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[287])). 70.79/19.44 thf(277,axiom,((! [A:((char > option_trm) > (produc62062515n_game > (char > option_fml))),B:(char > option_trm),C:produc62062515n_game]: ((produc1250175341on_fml @ A @ (produc1618635950n_game @ B @ C)) = (A @ B @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_237_case__prod__conv)). 70.79/19.44 thf(1405,plain,((! [A:((char > option_trm) > (produc62062515n_game > (char > option_fml))),B:(char > option_trm),C:produc62062515n_game]: ((produc1250175341on_fml @ (A) @ (produc1618635950n_game @ B @ C)) = (A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[277])). 70.79/19.44 thf(33,axiom,((! [A:variable,B:variable]: (((var @ A) = (var @ B)) = (A = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_306_trm_Oinject_I1_J)). 70.79/19.44 thf(428,plain,((! [A:variable,B:variable]: (((var @ A) = (var @ B)) = (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[33])). 70.79/19.44 thf(59,axiom,((! [A:(option_fml > option_trm),B:option_fml,C:(trm > option_fml),D:option_trm]: ((A @ (case_o325794063ml_trm @ B @ C @ D)) = (case_o487727941rm_trm @ (A @ B) @ (^ [E:trm]: (A @ (C @ E))) @ D)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_91_option_Ocase__distrib)). 70.79/19.44 thf(527,plain,((! [A:(option_fml > option_trm),B:option_fml,C:(trm > option_fml),D:option_trm]: ((A @ (case_o325794063ml_trm @ B @ (C) @ D)) = (case_o487727941rm_trm @ (A @ B) @ (^ [E:trm]: (A @ (C @ E))) @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[59])). 70.79/19.44 thf(28,axiom,((! [A:real,B:trm,C:trm]: ((number @ A) != (times @ B @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_323_trm_Odistinct_I19_J)). 70.79/19.44 thf(411,plain,((! [A:real,B:trm,C:trm]: ~ ((number @ A) = (times @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[28])). 70.79/19.44 thf(186,axiom,((! [A:((char > option_fml) > ((char > option_game) > $o)),B:(char > option_fml),C:(char > option_game)]: ((A @ B @ C) => (produc159680767game_o @ A @ (produc123610156n_game @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_231_case__prodI)). 70.79/19.44 thf(988,plain,((! [A:((char > option_fml) > ((char > option_game) > $o)),B:(char > option_fml),C:(char > option_game)]: ((A @ (B) @ (C)) => (produc159680767game_o @ (A) @ (produc123610156n_game @ (B) @ (C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[186])). 70.79/19.44 thf(215,axiom,((! [A:option_game]: ((A != none_game) = (case_option_o_game @ $false @ (^ [B:game]: ($true)) @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_66_option_Odisc__eq__case_I2_J)). 70.79/19.44 thf(1104,plain,((! [A:option_game]: ((~ (A = none_game)) = (case_option_o_game @ $false @ (^ [B:game]: ($true)) @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[215])). 70.79/19.44 thf(155,axiom,((! [A:set_variable,B:set_variable]: (((inf_inf_set_variable @ A @ B) = bot_bot_set_variable) = (! [C:variable]: ((! [D:variable]: ((member_variable @ D @ B) => (C != D))) <= (member_variable @ C @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_150_disjoint__iff__not__equal)). 70.79/19.44 thf(849,plain,((! [A:set_variable,B:set_variable]: (((inf_inf_set_variable @ A @ B) = bot_bot_set_variable) = (! [C:variable]: (! [D:variable]: ((member_variable @ D @ B) => (~ (C = D))) | ~ (member_variable @ C @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[155])). 70.79/19.44 thf(40,axiom,((! [A:real,B:trm,C:trm]: ((number @ A) != (plus @ B @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_322_trm_Odistinct_I17_J)). 70.79/19.44 thf(452,plain,((! [A:real,B:trm,C:trm]: ~ ((number @ A) = (plus @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[40])). 70.79/19.44 thf(170,axiom,((! [A:(option_fml > option_fml),B:((char > option_fml) > ((char > option_game) > option_fml)),C:produc799602994n_game]: ((A @ (produc347802313on_fml @ B @ C)) = (produc347802313on_fml @ (^ [D:(char > option_fml),E:(char > option_game)]: (A @ (B @ D @ E))) @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_16_prod_Ocase__distrib)). 70.79/19.44 thf(920,plain,((! [A:(option_fml > option_fml),B:((char > option_fml) > ((char > option_game) > option_fml)),C:produc799602994n_game]: ((A @ (produc347802313on_fml @ (B) @ C)) = (produc347802313on_fml @ (^ [D:(char > option_fml),E:(char > option_game)]: (A @ (B @ D @ E))) @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[170])). 70.79/19.44 thf(36,axiom,((inf_inf_set_variable = (^ [A:set_variable,B:set_variable]: (collect_variable @ (inf_inf_variable_o @ (^ [C:variable]: (member_variable @ C @ A)) @ (^ [C:variable]: (member_variable @ C @ B))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_180_inf__set__def)). 70.79/19.44 thf(439,plain,(((inf_inf_set_variable) = (^ [A:set_variable,B:set_variable]: (collect_variable @ (inf_inf_variable_o @ (^ [C:variable]: (member_variable @ C @ A)) @ (^ [C:variable]: (member_variable @ C @ B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[36])). 70.79/19.44 thf(100,axiom,((! [A:(option_game > $o),B:option_game]: ((A @ none_game) => ((A @ B) <= (! [C:game]: (A @ (some_game @ C))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_105_option_Oinducts)). 70.79/19.44 thf(661,plain,((! [A:(option_game > $o),B:option_game]: ((A @ none_game) => ((A @ B) | ~ (! [C:game]: (A @ (some_game @ C))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[100])). 70.79/19.44 thf(260,axiom,((! [A:(option_fml > $o),B:option_fml,C:(fml > option_fml),D:option_fml]: ((A @ (case_o209804997ml_fml @ B @ C @ D)) = (((A @ (C @ (the_fml @ D))) <= (D = (some_fml @ (the_fml @ D)))) & ((A @ B) <= (D = none_fml)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_140_option_Osplit__sel)). 70.79/19.44 thf(1338,plain,((! [A:(option_fml > $o),B:option_fml,C:(fml > option_fml),D:option_fml]: ((A @ (case_o209804997ml_fml @ B @ (C) @ D)) = (((A @ (C @ (the_fml @ D))) | ~ (D = (some_fml @ (the_fml @ D)))) & ((A @ B) | ~ (D = none_fml)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[260])). 70.79/19.44 thf(116,axiom,((! [A:option_trm]: ((A = (some_trm @ (the_trm @ A))) <= (A != none_trm)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_134_option_Oexhaust__sel)). 70.79/19.44 thf(714,plain,((! [A:option_trm]: ((A = (some_trm @ (the_trm @ A))) | (A = none_trm)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[116])). 70.79/19.44 thf(205,axiom,((inf_inf_set_variable = (^ [A:set_variable,B:set_variable]: (inf_inf_set_variable @ B @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_85_inf__sup__aci_I1_J)). 70.79/19.44 thf(1057,plain,(((inf_inf_set_variable) = (^ [A:set_variable,B:set_variable]: (inf_inf_set_variable @ B @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[205])). 70.79/19.44 thf(65,axiom,((bot_bot_set_variable = (collect_variable @ (^ [A:variable]: ($false))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_176_empty__def)). 70.79/19.44 thf(546,plain,((bot_bot_set_variable = (collect_variable @ (^ [A:variable]: ($false))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[65])). 70.79/19.44 thf(140,axiom,((! [A:set_variable,B:set_variable]: ((inf_inf_set_variable @ A @ (inf_inf_set_variable @ A @ B)) = (inf_inf_set_variable @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_56_inf_Oleft__idem)). 70.79/19.44 thf(793,plain,((! [A:set_variable,B:set_variable]: ((inf_inf_set_variable @ A @ (inf_inf_set_variable @ A @ B)) = (inf_inf_set_variable @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[140])). 70.79/19.44 thf(243,axiom,((! [A:((char > option_fml) > option_trm),B:((char > option_fml) > ((char > option_game) > (char > option_fml))),C:produc799602994n_game]: ((A @ (produc1420172399on_fml @ B @ C)) = (produc885547027on_trm @ (^ [D:(char > option_fml),E:(char > option_game)]: (A @ (B @ D @ E))) @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_23_prod_Ocase__distrib)). 70.79/19.44 thf(1223,plain,((! [A:((char > option_fml) > option_trm),B:((char > option_fml) > ((char > option_game) > (char > option_fml))),C:produc799602994n_game]: ((A @ (produc1420172399on_fml @ (B) @ C)) = (produc885547027on_trm @ (^ [D:(char > option_fml),E:(char > option_game)]: (A @ (B @ D @ E))) @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[243])). 70.79/19.44 thf(125,axiom,((! [A:(produc1418842292n_game > option_fml)]: ((produc1499310791on_fml @ (^ [B:(char > option_trm),C:produc62062515n_game]: (A @ (produc1618635950n_game @ B @ C)))) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_283_case__prod__eta)). 70.79/19.44 thf(746,plain,((! [A:(produc1418842292n_game > option_fml)]: ((produc1499310791on_fml @ (^ [B:(char > option_trm),C:produc62062515n_game]: (A @ (produc1618635950n_game @ B @ C)))) = (A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[125])). 70.79/19.44 thf(195,axiom,((! [A:option_trm]: ((uSubst918876924Timeso @ none_trm @ A) = none_trm))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_346_Timeso_Osimps_I2_J)). 70.79/19.44 thf(1021,plain,((! [A:option_trm]: ((uSubst918876924Timeso @ none_trm @ A) = none_trm))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[195])). 70.79/19.44 thf(176,axiom,((! [A:(option_trm > option_fml),B:((char > option_fml) > ((char > option_game) > option_trm)),C:produc799602994n_game]: ((A @ (produc885547027on_trm @ B @ C)) = (produc347802313on_fml @ (^ [D:(char > option_fml),E:(char > option_game)]: (A @ (B @ D @ E))) @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_18_prod_Ocase__distrib)). 70.79/19.44 thf(952,plain,((! [A:(option_trm > option_fml),B:((char > option_fml) > ((char > option_game) > option_trm)),C:produc799602994n_game]: ((A @ (produc885547027on_trm @ (B) @ C)) = (produc347802313on_fml @ (^ [D:(char > option_fml),E:(char > option_game)]: (A @ (B @ D @ E))) @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[176])). 70.79/19.44 thf(307,axiom,((! [A:((char > option_trm) > (produc799602994n_game > (char > option_fml))),B:(char > option_trm),C:produc799602994n_game]: ((produc1615133358on_fml @ A @ (produc1048060077n_game @ B @ C)) = (A @ B @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_239_case__prod__conv)). 70.79/19.44 thf(1519,plain,((! [A:((char > option_trm) > (produc799602994n_game > (char > option_fml))),B:(char > option_trm),C:produc799602994n_game]: ((produc1615133358on_fml @ (A) @ (produc1048060077n_game @ B @ C)) = (A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[307])). 70.79/19.44 thf(12,axiom,((! [A:variable]: ~ (member_variable @ A @ bot_bot_set_variable))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_149_empty__iff)). 70.79/19.44 thf(349,plain,((! [A:variable]: ~ (member_variable @ A @ bot_bot_set_variable))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[12])). 70.79/19.44 thf(233,axiom,((! [A:(variable > (option_trm > $o)),B:variable,C:option_trm]: ((! [D:variable,E:trm]: (A @ D @ (some_trm @ E))) => ((! [D:variable]: (A @ D @ none_trm)) => (A @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_158_Assigno_Oinduct)). 70.79/19.44 thf(1174,plain,((! [A:(variable > (option_trm > $o)),B:variable,C:option_trm]: ((! [D:variable,E:trm]: (A @ D @ (some_trm @ E))) => ((! [D:variable]: (A @ D @ none_trm)) => (A @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[233])). 70.79/19.44 thf(32,axiom,((! [A:trm,B:trm,C:trm]: ((times @ A @ B) != (differential @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_330_trm_Odistinct_I41_J)). 70.79/19.44 thf(424,plain,((! [A:trm,B:trm,C:trm]: ~ ((times @ A @ B) = (differential @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[32])). 70.79/19.44 thf(268,axiom,((! [A:option_fml,B:(option_fml > (option_trm > $o)),C:option_trm]: (((A = none_fml) => (B @ A @ C)) => (((! [D:fml,E:trm]: (((B @ A @ C) <= (C = (some_trm @ E))) <= (A = (some_fml @ D)))) => (B @ A @ C)) <= ((B @ A @ C) <= (C = none_trm)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_113_combine__options__cases)). 70.79/19.44 thf(1370,plain,((! [A:option_fml,B:(option_fml > (option_trm > $o)),C:option_trm]: (((A = none_fml) => (B @ A @ C)) => (((! [D:fml,E:trm]: ((B @ A @ C) | ~ (C = (some_trm @ E)) | ~ (A = (some_fml @ D)))) => (B @ A @ C)) | ~ ((B @ A @ C) | ~ (C = none_trm)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[268])). 70.79/19.44 thf(146,axiom,((is_empty_variable = (^ [A:set_variable]: (A = bot_bot_set_variable)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_191_Set_Ois__empty__def)). 70.79/19.44 thf(815,plain,(((is_empty_variable) = (^ [A:set_variable]: (A = bot_bot_set_variable)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[146])). 70.79/19.44 thf(150,axiom,((! [A:set_variable]: ((inf_inf_set_variable @ bot_bot_set_variable @ A) = bot_bot_set_variable))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_47_inf__bot__left)). 70.79/19.44 thf(825,plain,((! [A:set_variable]: ((inf_inf_set_variable @ bot_bot_set_variable @ A) = bot_bot_set_variable))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[150])). 70.79/19.44 thf(262,axiom,((! [A:produc1739631244on_fml]: ((! [B:game,C:fml]: (A != (produc2124676926on_fml @ (some_game @ B) @ (some_fml @ C)))) => ((! [B:option_fml]: (A != (produc2124676926on_fml @ none_game @ B))) => (~ (! [B:game]: (A != (produc2124676926on_fml @ (some_game @ B) @ none_fml)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_214_Diamondo_Ocases)). 70.79/19.44 thf(1343,plain,((! [A:produc1739631244on_fml]: ((! [B:game,C:fml]: ~ (A = (produc2124676926on_fml @ (some_game @ B) @ (some_fml @ C)))) => ((! [B:option_fml]: ~ (A = (produc2124676926on_fml @ none_game @ B))) => (~ (! [B:game]: ~ (A = (produc2124676926on_fml @ (some_game @ B) @ none_fml)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[262])). 70.79/19.44 thf(73,axiom,((! [A:option_game]: ((A = none_game) <= (! [B:game]: (A != (some_game @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_152_Loopo_Ocases)). 70.79/19.44 thf(566,plain,((! [A:option_game]: ((A = none_game) | ~ (! [B:game]: ~ (A = (some_game @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[73])). 70.79/19.44 thf(92,axiom,((! [A:trm]: (none_trm != (some_trm @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_95_option_Odistinct_I1_J)). 70.79/19.44 thf(625,plain,((! [A:trm]: ~ (none_trm = (some_trm @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[92])). 70.79/19.44 thf(161,axiom,((! [A:char,B:trm,C:trm,D:trm]: ((pred @ A @ B) != (geq @ C @ D)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_194_fml_Odistinct_I1_J)). 70.79/19.44 thf(879,plain,((! [A:char,B:trm,C:trm,D:trm]: ~ ((pred @ A @ B) = (geq @ C @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[161])). 70.79/19.44 thf(164,axiom,((! [A:$o,B:(trm > $o),C:option_trm,D:(option_fml > $o),E:option_fml,F:(trm > option_fml)]: ((case_option_o_trm @ A @ B @ C) => (((! [G:trm]: ((D @ (F @ G)) <= (B @ G))) => (D @ (case_o325794063ml_trm @ E @ F @ C))) <= ((D @ E) <= (A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_186_disjE__realizer2)). 70.79/19.44 thf(889,plain,((! [A:$o,B:(trm > $o),C:option_trm,D:(option_fml > $o),E:option_fml,F:(trm > option_fml)]: ((case_option_o_trm @ A @ (B) @ C) => (((! [G:trm]: ((D @ (F @ G)) | ~ (B @ G))) => (D @ (case_o325794063ml_trm @ E @ (F) @ C))) | ~ ((D @ E) | ~ (A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[164])). 70.79/19.44 thf(53,axiom,((! [A:$o,B:(trm > $o),C:option_trm,D:(option_trm > $o),E:option_trm,F:(trm > option_trm)]: ((((! [G:trm]: ((D @ (F @ G)) <= (B @ G))) => (D @ (case_o487727941rm_trm @ E @ F @ C))) <= ((A) => (D @ E))) <= (case_option_o_trm @ A @ B @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_187_disjE__realizer2)). 70.79/19.44 thf(493,plain,((! [A:$o,B:(trm > $o),C:option_trm,D:(option_trm > $o),E:option_trm,F:(trm > option_trm)]: (((! [G:trm]: ((D @ (F @ G)) | ~ (B @ G))) => (D @ (case_o487727941rm_trm @ E @ (F) @ C))) | ~ ((A) => (D @ E)) | ~ (case_option_o_trm @ A @ (B) @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[53])). 70.79/19.44 thf(197,axiom,((('?' @ option_game) = (^ [A:(option_game > $o)]: ((A @ none_game) | ? [B:game]: (A @ (some_game @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_108_split__option__ex)). 70.79/19.44 thf(1027,plain,((('?' @ option_game) = (^ [A:(option_game > $o)]: ((A @ none_game) | ? [B:game]: (A @ (some_game @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[197])). 70.79/19.44 thf(129,axiom,((! [A:option_fml,B:option_fml]: ((if_option_fml @ $false @ A @ B) = B))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_2_1_If_001t__Option__Ooption_It__Syntax__Ofml_J_T)). 70.79/19.44 thf(757,plain,((! [A:option_fml,B:option_fml]: ((if_option_fml @ $false @ A @ B) = B))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[129])). 70.79/19.44 thf(114,axiom,((! [A:((char > option_trm) > (produc799602994n_game > option_fml)),B:(char > option_trm),C:produc799602994n_game]: ((produc154833544on_fml @ A @ (produc1048060077n_game @ B @ C)) = (A @ B @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_244_case__prod__conv)). 70.79/19.44 thf(710,plain,((! [A:((char > option_trm) > (produc799602994n_game > option_fml)),B:(char > option_trm),C:produc799602994n_game]: ((produc154833544on_fml @ (A) @ (produc1048060077n_game @ (B) @ C)) = (A @ (B) @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[114])). 70.79/19.44 thf(41,axiom,((! [A:trm,B:trm,C:trm,D:trm]: (((times @ A @ B) = (times @ C @ D)) = ((B = D) & (A = C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_316_trm_Oinject_I6_J)). 70.79/19.44 thf(456,plain,((! [A:trm,B:trm,C:trm,D:trm]: (((times @ A @ B) = (times @ C @ D)) = ((B = D) & (A = C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[41])). 70.79/19.44 thf(156,axiom,((! [A:option_game,B:(option_game > (option_trm > $o)),C:option_trm]: (((B @ A @ C) <= (A = none_game)) => (((B @ A @ C) <= (C = none_trm)) => ((! [D:game,E:trm]: (((C = (some_trm @ E)) => (B @ A @ C)) <= (A = (some_game @ D)))) => (B @ A @ C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_119_combine__options__cases)). 70.79/19.44 thf(852,plain,((! [A:option_game,B:(option_game > (option_trm > $o)),C:option_trm]: (((B @ A @ C) | ~ (A = none_game)) => (((B @ A @ C) | ~ (C = none_trm)) => ((! [D:game,E:trm]: (((C = (some_trm @ E)) => (B @ A @ C)) | ~ (A = (some_game @ D)))) => (B @ A @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[156])). 70.79/19.44 thf(35,axiom,((! [A:char,B:trm,C:trm]: ((const @ A) != (plus @ B @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_327_trm_Odistinct_I25_J)). 70.79/19.44 thf(435,plain,((! [A:char,B:trm,C:trm]: ~ ((const @ A) = (plus @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[35])). 70.79/19.44 thf(276,axiom,((! [A:option_fml,B:(fml > option_fml)]: ((case_o209804997ml_fml @ A @ B @ none_fml) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_121_option_Osimps_I4_J)). 70.79/19.44 thf(1402,plain,((! [A:option_fml,B:(fml > option_fml)]: ((case_o209804997ml_fml @ A @ (B) @ none_fml) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[276])). 70.79/19.44 thf(124,axiom,((! [A:option_trm]: ((A != none_trm) => (~ (! [B:trm]: (A != (some_trm @ B))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_101_option_Oexhaust)). 70.79/19.44 thf(742,plain,((! [A:option_trm]: ((~ (A = none_trm)) => (~ (! [B:trm]: ~ (A = (some_trm @ B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[124])). 70.79/19.44 thf(119,axiom,((! [A:set_variable,B:set_variable,C:set_variable]: ((inf_inf_set_variable @ (inf_inf_set_variable @ A @ B) @ C) = (inf_inf_set_variable @ A @ (inf_inf_set_variable @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_81_inf__assoc)). 70.79/19.44 thf(725,plain,((! [A:set_variable,B:set_variable,C:set_variable]: ((inf_inf_set_variable @ (inf_inf_set_variable @ A @ B) @ C) = (inf_inf_set_variable @ A @ (inf_inf_set_variable @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[119])). 70.79/19.44 thf(284,axiom,(((uSubst516392804stappf @ sigma @ ua @ (pred @ p @ theta)) != (uSubst516392804stappf @ sigma @ va @ (pred @ p @ theta)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_26__092_060open_062usubstappf_A_092_060sigma_062_AU_A_IPred_Ap_A_092_060theta_062_J_A_092_060noteq_062_Ausubstappf_A_092_060sigma_062_AV_A_IPred_Ap_A_092_060theta_062_J_092_060close_062)). 70.79/19.44 thf(1425,plain,((~ ((uSubst516392804stappf @ sigma @ ua @ (pred @ p @ theta)) = (uSubst516392804stappf @ sigma @ va @ (pred @ p @ theta))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[284])). 70.79/19.44 thf(21,axiom,((! [A:(variable > $o)]: (((collect_variable @ A) = bot_bot_set_variable) = (! [B:variable]: ~ (A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_147_Collect__empty__eq)). 70.79/19.44 thf(388,plain,((! [A:(variable > $o)]: (((collect_variable @ (A)) = bot_bot_set_variable) = (! [B:variable]: ~ (A @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[21])). 70.79/19.44 thf(311,axiom,((! [A:option_trm,B:option_trm]: (((uSubst152838031e_Geqo @ A @ B) = none_fml) = ((B = none_trm) | (A = none_trm))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_199_Geqo__undef)). 70.79/19.44 thf(1534,plain,((! [A:option_trm,B:option_trm]: (((uSubst152838031e_Geqo @ A @ B) = none_fml) = ((B = none_trm) | (A = none_trm))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[311])). 70.79/19.44 thf(194,axiom,((! [A:game]: (none_game != (some_game @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_96_option_Odistinct_I1_J)). 70.79/19.44 thf(1017,plain,((! [A:game]: ~ (none_game = (some_game @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[194])). 70.79/19.44 thf(183,axiom,((! [A:option_game]: ((A != none_game) = (? [B:game]: (A = (some_game @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_155_undefg__equiv)). 70.79/19.44 thf(980,plain,((! [A:option_game]: ((~ (A = none_game)) = (? [B:game]: (A = (some_game @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[183])). 70.79/19.44 thf(25,axiom,((! [A:char,B:option_trm,C:char,D:option_trm]: (((produc1500300866on_trm @ A @ B) = (produc1500300866on_trm @ C @ D)) = ((B = D) & (A = C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_221_old_Oprod_Oinject)). 70.79/19.44 thf(403,plain,((! [A:char,B:option_trm,C:char,D:option_trm]: (((produc1500300866on_trm @ A @ B) = (produc1500300866on_trm @ C @ D)) = ((B = D) & (A = C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[25])). 70.79/19.44 thf(46,axiom,((! [A:real,B:real]: (((number @ A) = (number @ B)) = (A = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_305_trm_Oinject_I2_J)). 70.79/19.44 thf(471,plain,((! [A:real,B:real]: (((number @ A) = (number @ B)) = (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[46])). 70.79/19.44 thf(229,axiom,((! [A:(option_trm > $o),B:option_trm]: ((A @ none_trm) => ((A @ B) <= (! [C:trm]: (A @ (some_trm @ C))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_104_option_Oinducts)). 70.79/19.44 thf(1160,plain,((! [A:(option_trm > $o),B:option_trm]: ((A @ none_trm) => ((A @ B) | ~ (! [C:trm]: (A @ (some_trm @ C))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[229])). 70.79/19.44 thf(293,axiom,(((uSubst516392804stappf @ sigma @ ua @ (pred @ p @ theta)) != (case_o209804997ml_fml @ (some_fml @ (pred @ p @ (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta)))) @ (^ [A:fml]: (if_option_fml @ ((inf_inf_set_variable @ (static_FVF @ A) @ va) = bot_bot_set_variable) @ (uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta))) @ bot_bot_set_variable @ A) @ none_fml)) @ (produc1250175341on_fml @ (^ [A:(char > option_trm)]: (produc1615133358on_fml @ (^ [B:(char > option_trm)]: (produc1420172399on_fml @ (^ [C:(char > option_fml),D:(char > option_game)]: (C)))))) @ sigma @ p)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_31__092_060open_062usubstappf_A_092_060sigma_062_AU_A_IPred_Ap_A_092_060theta_062_J_A_092_060noteq_062_A_Icase_ASPreds_A_092_060sigma_062_Ap_Aof_ANone_A_092_060Rightarrow_062_AAfml_A_IPred_Ap_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_124_ASome_Af_A_092_060Rightarrow_062_Aif_AFVF_Af_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_Af_Aelse_Aundeff_J_092_060close_062)). 70.79/19.44 thf(1461,plain,((~ ((uSubst516392804stappf @ sigma @ ua @ (pred @ p @ theta)) = (case_o209804997ml_fml @ (some_fml @ (pred @ p @ (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta)))) @ (^ [A:fml]: (if_option_fml @ ((inf_inf_set_variable @ (static_FVF @ A) @ va) = bot_bot_set_variable) @ (uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta))) @ bot_bot_set_variable @ A) @ none_fml)) @ (produc1250175341on_fml @ (^ [A:(char > option_trm)]: (produc1615133358on_fml @ (^ [B:(char > option_trm)]: (produc1420172399on_fml @ (^ [C:(char > option_fml),D:(char > option_game)]: (C)))))) @ sigma @ p))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[293])). 70.79/19.44 thf(97,axiom,((! [A:(option_fml > option_fml),B:option_fml,C:(fml > option_fml),D:option_fml]: ((A @ (case_o209804997ml_fml @ B @ C @ D)) = (case_o209804997ml_fml @ (A @ B) @ (^ [E:fml]: (A @ (C @ E))) @ D)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_89_option_Ocase__distrib)). 70.79/19.44 thf(642,plain,((! [A:(option_fml > option_fml),B:option_fml,C:(fml > option_fml),D:option_fml]: ((A @ (case_o209804997ml_fml @ B @ (C) @ D)) = (case_o209804997ml_fml @ (A @ B) @ (^ [E:fml]: (A @ (C @ E))) @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[97])). 70.79/19.44 thf(240,axiom,((~ (((inf_inf_set_variable @ (static_FVF @ (the_fml @ (produc1250175341on_fml @ (^ [A:(char > option_trm)]: (produc1615133358on_fml @ (^ [B:(char > option_trm)]: (produc1420172399on_fml @ (^ [C:(char > option_fml),D:(char > option_game)]: (C)))))) @ sigma @ p))) @ va) != bot_bot_set_variable) => (none_fml = (uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta))) @ bot_bot_set_variable @ (the_fml @ (produc1250175341on_fml @ (^ [A:(char > option_trm)]: (produc1615133358on_fml @ (^ [B:(char > option_trm)]: (produc1420172399on_fml @ (^ [C:(char > option_fml),D:(char > option_game)]: (C)))))) @ sigma @ p))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_092_060close_062)). 70.79/19.44 thf(1207,plain,((~ ((~ ((inf_inf_set_variable @ (static_FVF @ (the_fml @ (produc1250175341on_fml @ (^ [A:(char > option_trm)]: (produc1615133358on_fml @ (^ [B:(char > option_trm)]: (produc1420172399on_fml @ (^ [C:(char > option_fml),D:(char > option_game)]: (C)))))) @ sigma @ p))) @ va) = bot_bot_set_variable)) => (none_fml = (uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta))) @ bot_bot_set_variable @ (the_fml @ (produc1250175341on_fml @ (^ [A:(char > option_trm)]: (produc1615133358on_fml @ (^ [B:(char > option_trm)]: (produc1420172399on_fml @ (^ [C:(char > option_fml),D:(char > option_game)]: (C)))))) @ sigma @ p))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[240])). 70.79/19.44 thf(105,axiom,((! [A:set_variable,B:set_variable]: (((inf_inf_set_variable @ A @ B) = bot_bot_set_variable) <= (! [C:variable]: ((member_variable @ C @ A) => (~ (member_variable @ C @ B))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_181_Int__emptyI)). 70.79/19.44 thf(679,plain,((! [A:set_variable,B:set_variable]: (((inf_inf_set_variable @ A @ B) = bot_bot_set_variable) | ~ (! [C:variable]: ((member_variable @ C @ A) => (~ (member_variable @ C @ B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[105])). 70.79/19.44 thf(282,axiom,((((produc1250175341on_fml @ (^ [A:(char > option_trm)]: (produc1615133358on_fml @ (^ [B:(char > option_trm)]: (produc1420172399on_fml @ (^ [C:(char > option_fml),D:(char > option_game)]: (C)))))) @ sigma @ p) = none_fml) <= ((uSubst516392804stappf @ sigma @ ua @ (pred @ p @ theta)) != (uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta))) @ bot_bot_set_variable @ (the_fml @ (produc1250175341on_fml @ (^ [A:(char > option_trm)]: (produc1615133358on_fml @ (^ [B:(char > option_trm)]: (produc1420172399on_fml @ (^ [C:(char > option_fml),D:(char > option_game)]: (C)))))) @ sigma @ p)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_29_calculation_I2_J)). 70.79/19.44 thf(1419,plain,((((produc1250175341on_fml @ (^ [A:(char > option_trm)]: (produc1615133358on_fml @ (^ [B:(char > option_trm)]: (produc1420172399on_fml @ (^ [C:(char > option_fml),D:(char > option_game)]: (C)))))) @ sigma @ p) = none_fml) | ((uSubst516392804stappf @ sigma @ ua @ (pred @ p @ theta)) = (uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta))) @ bot_bot_set_variable @ (the_fml @ (produc1250175341on_fml @ (^ [A:(char > option_trm)]: (produc1615133358on_fml @ (^ [B:(char > option_trm)]: (produc1420172399on_fml @ (^ [C:(char > option_fml),D:(char > option_game)]: (C)))))) @ sigma @ p)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[282])). 70.79/19.44 thf(185,axiom,((! [A:((char > option_trm) > (produc799602994n_game > option_trm)),B:(produc62062515n_game > option_trm)]: ((! [C:(char > option_trm),D:produc799602994n_game]: ((A @ C @ D) = (B @ (produc1048060077n_game @ C @ D)))) => ((produc692578258on_trm @ A) = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_272_cond__case__prod__eta)). 70.79/19.44 thf(985,plain,((! [A:((char > option_trm) > (produc799602994n_game > option_trm)),B:(produc62062515n_game > option_trm)]: ((! [C:(char > option_trm),D:produc799602994n_game]: ((A @ (C) @ D) = (B @ (produc1048060077n_game @ (C) @ D)))) => ((produc692578258on_trm @ (A)) = (B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[185])). 70.79/19.44 thf(111,axiom,((! [A:(char > option_trm),B:produc62062515n_game,C:(char > option_trm),D:produc62062515n_game]: (((produc1618635950n_game @ A @ B) = (produc1618635950n_game @ C @ D)) = ((A = C) & (B = D))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_218_prod_Oinject)). 70.79/19.44 thf(701,plain,((! [A:(char > option_trm),B:produc62062515n_game,C:(char > option_trm),D:produc62062515n_game]: (((produc1618635950n_game @ (A) @ B) = (produc1618635950n_game @ (C) @ D)) = (((A) = (C)) & (B = D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[111])). 70.79/19.44 thf(249,axiom,((! [A:option_trm,B:(option_trm > (option_fml > $o)),C:option_fml]: ((((B @ A @ C) <= (C = none_fml)) => ((! [D:trm,E:fml]: ((A = (some_trm @ D)) => ((C = (some_fml @ E)) => (B @ A @ C)))) => (B @ A @ C))) <= ((B @ A @ C) <= (A = none_trm))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_115_combine__options__cases)). 70.79/19.44 thf(1249,plain,((! [A:option_trm,B:(option_trm > (option_fml > $o)),C:option_fml]: ((((B @ A @ C) | ~ (C = none_fml)) => ((! [D:trm,E:fml]: ((A = (some_trm @ D)) => ((C = (some_fml @ E)) => (B @ A @ C)))) => (B @ A @ C))) | ~ ((B @ A @ C) | ~ (A = none_trm))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[249])). 70.79/19.44 thf(252,axiom,((! [A:option_fml,B:(option_fml > (option_fml > $o)),C:option_fml]: (((A = none_fml) => (B @ A @ C)) => (((! [D:fml,E:fml]: (((C = (some_fml @ E)) => (B @ A @ C)) <= (A = (some_fml @ D)))) => (B @ A @ C)) <= ((B @ A @ C) <= (C = none_fml)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_112_combine__options__cases)). 70.79/19.44 thf(1297,plain,((! [A:option_fml,B:(option_fml > (option_fml > $o)),C:option_fml]: (((A = none_fml) => (B @ A @ C)) => (((! [D:fml,E:fml]: (((C = (some_fml @ E)) => (B @ A @ C)) | ~ (A = (some_fml @ D)))) => (B @ A @ C)) | ~ ((B @ A @ C) | ~ (C = none_fml)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[252])). 70.79/19.44 thf(250,axiom,((! [A:option_trm,B:option_trm,C:option_fml]: (((! [D:trm]: ((! [E:trm]: ((B = (some_trm @ E)) => (C != (some_fml @ (geq @ D @ E))))) <= (A = (some_trm @ D)))) => ((~ ((? [D:trm]: (A = (some_trm @ D))) => ((B = none_trm) => (C != none_fml)))) <= ((C != none_fml) <= (A = none_trm)))) <= ((uSubst152838031e_Geqo @ A @ B) = C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_197_Geqo_Oelims)). 70.79/19.44 thf(1266,plain,((! [A:option_trm,B:option_trm,C:option_fml]: (((! [D:trm]: (! [E:trm]: ((B = (some_trm @ E)) => (~ (C = (some_fml @ (geq @ D @ E))))) | ~ (A = (some_trm @ D)))) => (~ ((? [D:trm]: (A = (some_trm @ D))) => ((B = none_trm) => (~ (C = none_fml)))) | ~ (~ (C = none_fml) | ~ (A = none_trm)))) | ~ ((uSubst152838031e_Geqo @ A @ B) = C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[250])). 70.79/19.44 thf(248,axiom,((! [A:(produc799602994n_game > (char > option_fml))]: ((produc1420172399on_fml @ (^ [B:(char > option_fml),C:(char > option_game)]: (A @ (produc123610156n_game @ B @ C)))) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_278_case__prod__eta)). 70.79/19.44 thf(1246,plain,((! [A:(produc799602994n_game > (char > option_fml))]: ((produc1420172399on_fml @ (^ [B:(char > option_fml),C:(char > option_game)]: (A @ (produc123610156n_game @ B @ C)))) = (A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[248])). 70.79/19.44 thf(137,axiom,((! [A:game]: ((the_game @ (some_game @ A)) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_132_option_Osel)). 70.79/19.44 thf(779,plain,((! [A:game]: ((the_game @ (some_game @ A)) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[137])). 70.79/19.44 thf(85,axiom,((! [A:option_game]: ((A != none_game) = (? [B:game]: (A = (some_game @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_45_not__None__eq)). 70.79/19.44 thf(605,plain,((! [A:option_game]: ((~ (A = none_game)) = (? [B:game]: (A = (some_game @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[85])). 70.79/19.44 thf(210,axiom,(((uSubst716837505ntialo @ none_trm) = none_trm)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_343_Differentialo_Osimps_I2_J)). 70.79/19.44 thf(1086,plain,(((uSubst716837505ntialo @ none_trm) = none_trm)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[210])). 70.79/19.44 thf(231,axiom,((! [A:produc1418842292n_game,B:set_variable,C:trm,D:set_variable]: (((uSubst516392818stappt @ A @ B @ C) != none_trm) => (((uSubst516392818stappt @ A @ B @ C) = (uSubst516392818stappt @ A @ D @ C)) <= ((uSubst516392818stappt @ A @ D @ C) != none_trm))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_70_usubstappt__det)). 70.79/19.44 thf(1167,plain,((! [A:produc1418842292n_game,B:set_variable,C:trm,D:set_variable]: ((~ ((uSubst516392818stappt @ A @ B @ C) = none_trm)) => (((uSubst516392818stappt @ A @ B @ C) = (uSubst516392818stappt @ A @ D @ C)) | ((uSubst516392818stappt @ A @ D @ C) = none_trm))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[231])). 70.79/19.44 thf(60,axiom,((! [A:variable]: ~ (member_variable @ A @ bot_bot_set_variable))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_163_emptyE)). 70.79/19.44 thf(530,plain,((! [A:variable]: ~ (member_variable @ A @ bot_bot_set_variable))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[60])). 70.79/19.44 thf(236,axiom,((((produc1250175341on_fml @ (^ [A:(char > option_trm)]: (produc1615133358on_fml @ (^ [B:(char > option_trm)]: (produc1420172399on_fml @ (^ [C:(char > option_fml),D:(char > option_game)]: (C)))))) @ sigma @ p) = none_fml) => ((uSubst516392804stappf @ sigma @ ua @ (pred @ p @ theta)) = (uSubst516392804stappf @ sigma @ va @ (pred @ p @ theta))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9_f9)). 70.79/19.44 thf(1185,plain,((((produc1250175341on_fml @ (^ [A:(char > option_trm)]: (produc1615133358on_fml @ (^ [B:(char > option_trm)]: (produc1420172399on_fml @ (^ [C:(char > option_fml),D:(char > option_game)]: (C)))))) @ sigma @ p) = none_fml) => ((uSubst516392804stappf @ sigma @ ua @ (pred @ p @ theta)) = (uSubst516392804stappf @ sigma @ va @ (pred @ p @ theta))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[236])). 70.79/19.44 thf(172,axiom,((! [A:set_variable,B:set_variable,C:set_variable]: ((inf_inf_set_variable @ A @ (inf_inf_set_variable @ B @ C)) = (inf_inf_set_variable @ B @ (inf_inf_set_variable @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_87_inf__sup__aci_I3_J)). 70.79/19.44 thf(926,plain,((! [A:set_variable,B:set_variable,C:set_variable]: ((inf_inf_set_variable @ A @ (inf_inf_set_variable @ B @ C)) = (inf_inf_set_variable @ B @ (inf_inf_set_variable @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[172])). 70.79/19.44 thf(132,axiom,((! [A:option_trm]: ((A != none_trm) = (? [B:trm]: (A = (some_trm @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_156_undeft__equiv)). 70.79/19.44 thf(765,plain,((! [A:option_trm]: ((~ (A = none_trm)) = (? [B:trm]: (A = (some_trm @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[132])). 70.79/19.44 thf(204,axiom,((! [A:((char > option_trm) > (produc799602994n_game > option_trm)),B:(char > option_trm),C:produc799602994n_game]: ((produc692578258on_trm @ A @ (produc1048060077n_game @ B @ C)) = (A @ B @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_245_case__prod__conv)). 70.79/19.44 thf(1054,plain,((! [A:((char > option_trm) > (produc799602994n_game > option_trm)),B:(char > option_trm),C:produc799602994n_game]: ((produc692578258on_trm @ (A) @ (produc1048060077n_game @ (B) @ C)) = (A @ (B) @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[204])). 70.79/19.44 thf(165,axiom,((bot_bo849148163game_o = (^ [A:(char > option_trm),B:produc62062515n_game]: (member1940201675n_game @ (produc1618635950n_game @ A @ B) @ bot_bo1453406334n_game)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_256_bot__empty__eq2)). 70.79/19.44 thf(906,plain,(((bot_bo849148163game_o) = (^ [A:(char > option_trm),B:produc62062515n_game]: (member1940201675n_game @ (produc1618635950n_game @ A @ B) @ bot_bo1453406334n_game)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[165])). 70.79/19.44 thf(55,axiom,((! [A:trm,B:trm,C:trm,D:trm]: ((plus @ A @ B) != (times @ C @ D)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_332_trm_Odistinct_I37_J)). 70.79/19.44 thf(513,plain,((! [A:trm,B:trm,C:trm,D:trm]: ~ ((plus @ A @ B) = (times @ C @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[55])). 70.79/19.44 thf(75,axiom,((! [A:(produc62062515n_game > option_trm)]: ((produc692578258on_trm @ (^ [B:(char > option_trm),C:produc799602994n_game]: (A @ (produc1048060077n_game @ B @ C)))) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_282_case__prod__eta)). 70.79/19.44 thf(573,plain,((! [A:(produc62062515n_game > option_trm)]: ((produc692578258on_trm @ (^ [B:(char > option_trm),C:produc799602994n_game]: (A @ (produc1048060077n_game @ B @ C)))) = (A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[75])). 70.79/19.44 thf(107,axiom,((! [A:option_fml,B:(fml > option_fml),C:fml]: ((case_o209804997ml_fml @ A @ B @ (some_fml @ C)) = (B @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_127_option_Osimps_I5_J)). 70.79/19.44 thf(689,plain,((! [A:option_fml,B:(fml > option_fml),C:fml]: ((case_o209804997ml_fml @ A @ (B) @ (some_fml @ C)) = (B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[107])). 70.79/19.44 thf(227,axiom,((! [A:option_trm,B:option_trm]: ((if_option_trm @ $false @ A @ B) = B))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_2_1_If_001t__Option__Ooption_It__Syntax__Otrm_J_T)). 70.79/19.44 thf(1154,plain,((! [A:option_trm,B:option_trm]: ((if_option_trm @ $false @ A @ B) = B))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[227])). 70.79/19.44 thf(148,axiom,((! [A:set_variable,B:set_variable]: ((inf_inf_set_variable @ A @ (inf_inf_set_variable @ A @ B)) = (inf_inf_set_variable @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_174_Int__left__absorb)). 70.79/19.44 thf(819,plain,((! [A:set_variable,B:set_variable]: ((inf_inf_set_variable @ A @ (inf_inf_set_variable @ A @ B)) = (inf_inf_set_variable @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[148])). 70.79/19.44 thf(71,axiom,((inf_inf_set_variable = (^ [A:set_variable,B:set_variable]: (inf_inf_set_variable @ B @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_79_inf__commute)). 70.79/19.44 thf(562,plain,(((inf_inf_set_variable) = (^ [A:set_variable,B:set_variable]: (inf_inf_set_variable @ B @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[71])). 70.79/19.44 thf(271,axiom,(((uSubst516392804stappf @ sigma @ ua @ (pred @ p @ theta)) = (case_o209804997ml_fml @ (some_fml @ (pred @ p @ (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta)))) @ (^ [A:fml]: (if_option_fml @ ((inf_inf_set_variable @ (static_FVF @ A) @ ua) = bot_bot_set_variable) @ (uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta))) @ bot_bot_set_variable @ A) @ none_fml)) @ (produc1250175341on_fml @ (^ [A:(char > option_trm)]: (produc1615133358on_fml @ (^ [B:(char > option_trm)]: (produc1420172399on_fml @ (^ [C:(char > option_fml),D:(char > option_game)]: (C)))))) @ sigma @ p)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_30_f6)). 70.79/19.44 thf(1389,plain,(((uSubst516392804stappf @ sigma @ ua @ (pred @ p @ theta)) = (case_o209804997ml_fml @ (some_fml @ (pred @ p @ (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta)))) @ (^ [A:fml]: (if_option_fml @ ((inf_inf_set_variable @ (static_FVF @ A) @ ua) = bot_bot_set_variable) @ (uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta))) @ bot_bot_set_variable @ A) @ none_fml)) @ (produc1250175341on_fml @ (^ [A:(char > option_trm)]: (produc1615133358on_fml @ (^ [B:(char > option_trm)]: (produc1420172399on_fml @ (^ [C:(char > option_fml),D:(char > option_game)]: (C)))))) @ sigma @ p)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[271])). 70.79/19.44 thf(153,axiom,((! [A:trm]: ((uSubst918876924Timeso @ (some_trm @ A) @ none_trm) = none_trm))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_350_Timeso_Osimps_I3_J)). 70.79/19.44 thf(843,plain,((! [A:trm]: ((uSubst918876924Timeso @ (some_trm @ A) @ none_trm) = none_trm))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[153])). 70.79/19.44 thf(160,axiom,((! [A:(option_fml > $o),B:((char > option_trm) > (produc62062515n_game > option_fml)),C:produc1418842292n_game]: ((A @ (produc1499310791on_fml @ B @ C)) => (~ (! [D:(char > option_trm),E:produc62062515n_game]: ((C = (produc1618635950n_game @ D @ E)) => (~ (A @ (B @ D @ E))))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_284_case__prodE2)). 70.79/19.44 thf(875,plain,((! [A:(option_fml > $o),B:((char > option_trm) > (produc62062515n_game > option_fml)),C:produc1418842292n_game]: ((A @ (produc1499310791on_fml @ (B) @ C)) => (~ (! [D:(char > option_trm),E:produc62062515n_game]: ((C = (produc1618635950n_game @ (D) @ E)) => (~ (A @ (B @ (D) @ E))))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[160])). 70.79/19.44 thf(77,axiom,((! [A:set_variable]: ((inf_inf_set_variable @ A @ A) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_58_inf_Oidem)). 70.79/19.44 thf(579,plain,((! [A:set_variable]: ((inf_inf_set_variable @ A @ A) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[77])). 70.79/19.44 thf(178,axiom,((! [A:option_fml,B:option_fml]: ((if_option_fml @ $true @ A @ B) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_1_1_If_001t__Option__Ooption_It__Syntax__Ofml_J_T)). 70.79/19.44 thf(958,plain,((! [A:option_fml,B:option_fml]: ((if_option_fml @ $true @ A @ B) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[178])). 70.79/19.44 thf(221,axiom,((! [A:set_variable]: ((inf_inf_set_variable @ bot_bot_set_variable @ A) = bot_bot_set_variable))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_183_Int__empty__left)). 70.79/19.44 thf(1124,plain,((! [A:set_variable]: ((inf_inf_set_variable @ bot_bot_set_variable @ A) = bot_bot_set_variable))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[221])). 70.79/19.44 thf(244,axiom,((~ ((((case_o209804997ml_fml @ (some_fml @ (pred @ p @ (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta)))) @ (^ [A:fml]: (if_option_fml @ ((inf_inf_set_variable @ (static_FVF @ A) @ va) = bot_bot_set_variable) @ (uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta))) @ bot_bot_set_variable @ A) @ none_fml)) @ (produc1250175341on_fml @ (^ [A:(char > option_trm)]: (produc1615133358on_fml @ (^ [B:(char > option_trm)]: (produc1420172399on_fml @ (^ [C:(char > option_fml),D:(char > option_game)]: (C)))))) @ sigma @ p)) = none_fml) <= ((inf_inf_set_variable @ (static_FVF @ (the_fml @ (produc1250175341on_fml @ (^ [A:(char > option_trm)]: (produc1615133358on_fml @ (^ [B:(char > option_trm)]: (produc1420172399on_fml @ (^ [C:(char > option_fml),D:(char > option_game)]: (C)))))) @ sigma @ p))) @ va) != bot_bot_set_variable)) & (((case_o209804997ml_fml @ (some_fml @ (pred @ p @ (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta)))) @ (^ [A:fml]: (if_option_fml @ ((inf_inf_set_variable @ (static_FVF @ A) @ va) = bot_bot_set_variable) @ (uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta))) @ bot_bot_set_variable @ A) @ none_fml)) @ (produc1250175341on_fml @ (^ [A:(char > option_trm)]: (produc1615133358on_fml @ (^ [B:(char > option_trm)]: (produc1420172399on_fml @ (^ [C:(char > option_fml),D:(char > option_game)]: (C)))))) @ sigma @ p)) = (uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta))) @ bot_bot_set_variable @ (the_fml @ (produc1250175341on_fml @ (^ [A:(char > option_trm)]: (produc1615133358on_fml @ (^ [B:(char > option_trm)]: (produc1420172399on_fml @ (^ [C:(char > option_fml),D:(char > option_game)]: (C)))))) @ sigma @ p)))) <= ((inf_inf_set_variable @ (static_FVF @ (the_fml @ (produc1250175341on_fml @ (^ [A:(char > option_trm)]: (produc1615133358on_fml @ (^ [B:(char > option_trm)]: (produc1420172399on_fml @ (^ [C:(char > option_fml),D:(char > option_game)]: (C)))))) @ sigma @ p))) @ va) = bot_bot_set_variable))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10__092_060open_062_Icase_ASPreds_A_092_060sigma_062_Ap_Aof_ANone_A_092_060Rightarrow_062_AAfml_A_IPred_Ap_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_124_ASome_Af_A_092_060Rightarrow_062_Aif_AFVF_Af_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_Af_Aelse_Aundeff_J_A_092_060noteq_062_A_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_092_060close_062)). 70.79/19.44 thf(1226,plain,((~ ((((case_o209804997ml_fml @ (some_fml @ (pred @ p @ (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta)))) @ (^ [A:fml]: (if_option_fml @ ((inf_inf_set_variable @ (static_FVF @ A) @ va) = bot_bot_set_variable) @ (uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta))) @ bot_bot_set_variable @ A) @ none_fml)) @ (produc1250175341on_fml @ (^ [A:(char > option_trm)]: (produc1615133358on_fml @ (^ [B:(char > option_trm)]: (produc1420172399on_fml @ (^ [C:(char > option_fml),D:(char > option_game)]: (C)))))) @ sigma @ p)) = none_fml) | ((inf_inf_set_variable @ (static_FVF @ (the_fml @ (produc1250175341on_fml @ (^ [A:(char > option_trm)]: (produc1615133358on_fml @ (^ [B:(char > option_trm)]: (produc1420172399on_fml @ (^ [C:(char > option_fml),D:(char > option_game)]: (C)))))) @ sigma @ p))) @ va) = bot_bot_set_variable)) & (((case_o209804997ml_fml @ (some_fml @ (pred @ p @ (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta)))) @ (^ [A:fml]: (if_option_fml @ ((inf_inf_set_variable @ (static_FVF @ A) @ va) = bot_bot_set_variable) @ (uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta))) @ bot_bot_set_variable @ A) @ none_fml)) @ (produc1250175341on_fml @ (^ [A:(char > option_trm)]: (produc1615133358on_fml @ (^ [B:(char > option_trm)]: (produc1420172399on_fml @ (^ [C:(char > option_fml),D:(char > option_game)]: (C)))))) @ sigma @ p)) = (uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta))) @ bot_bot_set_variable @ (the_fml @ (produc1250175341on_fml @ (^ [A:(char > option_trm)]: (produc1615133358on_fml @ (^ [B:(char > option_trm)]: (produc1420172399on_fml @ (^ [C:(char > option_fml),D:(char > option_game)]: (C)))))) @ sigma @ p)))) | ~ ((inf_inf_set_variable @ (static_FVF @ (the_fml @ (produc1250175341on_fml @ (^ [A:(char > option_trm)]: (produc1615133358on_fml @ (^ [B:(char > option_trm)]: (produc1420172399on_fml @ (^ [C:(char > option_fml),D:(char > option_game)]: (C)))))) @ sigma @ p))) @ va) = bot_bot_set_variable))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[244])). 70.79/19.44 thf(285,axiom,((! [A:trm]: ((uSubst152838031e_Geqo @ (some_trm @ A) @ none_trm) = none_fml))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_190_Geqo_Osimps_I3_J)). 70.79/19.44 thf(1428,plain,((! [A:trm]: ((uSubst152838031e_Geqo @ (some_trm @ A) @ none_trm) = none_fml))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[285])). 70.79/19.44 thf(22,axiom,((! [A:real,B:char]: ((number @ A) != (const @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_310_trm_Odistinct_I13_J)). 70.79/19.44 thf(391,plain,((! [A:real,B:char]: ~ ((number @ A) = (const @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[22])). 70.79/19.44 thf(38,axiom,((! [A:char,B:trm]: ((const @ A) != (differential @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_329_trm_Odistinct_I29_J)). 70.79/19.44 thf(445,plain,((! [A:char,B:trm]: ~ ((const @ A) = (differential @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[38])). 70.79/19.44 thf(1,conjecture,(((produc1250175341on_fml @ (^ [A:(char > option_trm)]: (produc1615133358on_fml @ (^ [B:(char > option_trm)]: (produc1420172399on_fml @ (^ [C:(char > option_fml),D:(char > option_game)]: (C)))))) @ sigma @ p) = none_fml)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)). 70.79/19.44 thf(2,negated_conjecture,((~ ((produc1250175341on_fml @ (^ [A:(char > option_trm)]: (produc1615133358on_fml @ (^ [B:(char > option_trm)]: (produc1420172399on_fml @ (^ [C:(char > option_fml),D:(char > option_game)]: (C)))))) @ sigma @ p) = none_fml))),inference(neg_conjecture,[status(cth)],[1])). 70.79/19.44 thf(313,plain,((~ ((produc1250175341on_fml @ (^ [A:(char > option_trm)]: (produc1615133358on_fml @ (^ [B:(char > option_trm)]: (produc1420172399on_fml @ (^ [C:(char > option_fml),D:(char > option_game)]: (C)))))) @ sigma @ p) = none_fml))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])). 70.79/19.44 thf(254,axiom,((! [A:(option_fml > (char > option_fml)),B:((char > option_fml) > ((char > option_game) > option_fml)),C:produc799602994n_game]: ((A @ (produc347802313on_fml @ B @ C)) = (produc1420172399on_fml @ (^ [D:(char > option_fml),E:(char > option_game)]: (A @ (B @ D @ E))) @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_25_prod_Ocase__distrib)). 70.79/19.44 thf(1312,plain,((! [A:(option_fml > (char > option_fml)),B:((char > option_fml) > ((char > option_game) > option_fml)),C:produc799602994n_game]: ((A @ (produc347802313on_fml @ (B) @ C)) = (produc1420172399on_fml @ (^ [D:(char > option_fml),E:(char > option_game)]: (A @ (B @ D @ E))) @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[254])). 70.79/19.44 thf(87,axiom,((! [A:option_trm]: ((uSubst141955042_Pluso @ none_trm @ A) = none_trm))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_345_Pluso_Osimps_I2_J)). 70.79/19.44 thf(611,plain,((! [A:option_trm]: ((uSubst141955042_Pluso @ none_trm @ A) = none_trm))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[87])). 70.79/19.44 thf(115,axiom,((some_trm = some_trm)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_151_Aterm__Some)). 70.79/19.44 thf(713,plain,($true),inference(defexp_and_simp_and_etaexpand,[status(thm)],[115])). 70.79/19.44 thf(216,axiom,((! [A:set_variable,B:set_variable,C:set_variable]: ((inf_inf_set_variable @ A @ (inf_inf_set_variable @ B @ C)) = (inf_inf_set_variable @ B @ (inf_inf_set_variable @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_78_inf_Oleft__commute)). 70.79/19.44 thf(1107,plain,((! [A:set_variable,B:set_variable,C:set_variable]: ((inf_inf_set_variable @ A @ (inf_inf_set_variable @ B @ C)) = (inf_inf_set_variable @ B @ (inf_inf_set_variable @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[216])). 70.79/19.44 thf(258,axiom,((! [A:option_fml]: ((! [B:fml]: (A != (some_fml @ B))) = (A = none_fml)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_40_not__Some__eq)). 70.79/19.44 thf(1332,plain,((! [A:option_fml]: ((! [B:fml]: ~ (A = (some_fml @ B))) = (A = none_fml)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[258])). 70.79/19.44 thf(112,axiom,((! [A:set_variable,B:set_variable,C:set_variable]: ((inf_inf_set_variable @ (inf_inf_set_variable @ A @ B) @ C) = (inf_inf_set_variable @ A @ (inf_inf_set_variable @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_82_inf_Oassoc)). 70.79/19.44 thf(704,plain,((! [A:set_variable,B:set_variable,C:set_variable]: ((inf_inf_set_variable @ (inf_inf_set_variable @ A @ B) @ C) = (inf_inf_set_variable @ A @ (inf_inf_set_variable @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[112])). 70.79/19.44 thf(294,axiom,((! [A:option_fml]: ((A != none_fml) => (~ (! [B:fml]: (A != (some_fml @ B))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_100_option_Oexhaust)). 70.79/19.44 thf(1464,plain,((! [A:option_fml]: ((~ (A = none_fml)) => (~ (! [B:fml]: ~ (A = (some_fml @ B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[294])). 70.79/19.44 thf(264,axiom,(((case_o325794063ml_trm @ none_fml @ (^ [A:trm]: (case_o209804997ml_fml @ (some_fml @ (pred @ p @ A)) @ (^ [B:fml]: (if_option_fml @ ((inf_inf_set_variable @ (static_FVF @ B) @ ua) = bot_bot_set_variable) @ (uSubst516392804stappf @ (uSubst1408967625substt @ A) @ bot_bot_set_variable @ B) @ none_fml)) @ (produc1250175341on_fml @ (^ [B:(char > option_trm)]: (produc1615133358on_fml @ (^ [C:(char > option_trm)]: (produc1420172399on_fml @ (^ [D:(char > option_fml),E:(char > option_game)]: (D)))))) @ sigma @ p))) @ (uSubst516392818stappt @ sigma @ ua @ theta)) != none_fml)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_35_f1)). 70.79/19.44 thf(1356,plain,((~ ((case_o325794063ml_trm @ none_fml @ (^ [A:trm]: (case_o209804997ml_fml @ (some_fml @ (pred @ p @ A)) @ (^ [B:fml]: (if_option_fml @ ((inf_inf_set_variable @ (static_FVF @ B) @ ua) = bot_bot_set_variable) @ (uSubst516392804stappf @ (uSubst1408967625substt @ A) @ bot_bot_set_variable @ B) @ none_fml)) @ (produc1250175341on_fml @ (^ [B:(char > option_trm)]: (produc1615133358on_fml @ (^ [C:(char > option_trm)]: (produc1420172399on_fml @ (^ [D:(char > option_fml),E:(char > option_game)]: (D)))))) @ sigma @ p))) @ (uSubst516392818stappt @ sigma @ ua @ theta)) = none_fml))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[264])). 70.79/19.44 thf(63,axiom,((! [A:produc1418842292n_game,B:set_variable,C:trm]: (((uSubst516392818stappt @ A @ B @ (differential @ C)) != none_trm) => ((uSubst516392818stappt @ A @ (collect_variable @ (^ [D:variable]: ($true))) @ C) != none_trm)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_339_usubstappt__differential__conv)). 70.79/19.44 thf(540,plain,((! [A:produc1418842292n_game,B:set_variable,C:trm]: ((~ ((uSubst516392818stappt @ A @ B @ (differential @ C)) = none_trm)) => (~ ((uSubst516392818stappt @ A @ (collect_variable @ (^ [D:variable]: ($true))) @ C) = none_trm))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[63])). 70.79/19.44 thf(238,axiom,((~ ((((inf_inf_set_variable @ (static_FVF @ (the_fml @ (produc1250175341on_fml @ (^ [A:(char > option_trm)]: (produc1615133358on_fml @ (^ [B:(char > option_trm)]: (produc1420172399on_fml @ (^ [C:(char > option_fml),D:(char > option_game)]: (C)))))) @ sigma @ p))) @ va) = bot_bot_set_variable) => ((uSubst516392804stappf @ sigma @ ua @ (pred @ p @ theta)) = (uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta))) @ bot_bot_set_variable @ (the_fml @ (produc1250175341on_fml @ (^ [A:(char > option_trm)]: (produc1615133358on_fml @ (^ [B:(char > option_trm)]: (produc1420172399on_fml @ (^ [C:(char > option_fml),D:(char > option_game)]: (C)))))) @ sigma @ p))))) & (((uSubst516392804stappf @ sigma @ ua @ (pred @ p @ theta)) = none_fml) <= ((inf_inf_set_variable @ (static_FVF @ (the_fml @ (produc1250175341on_fml @ (^ [A:(char > option_trm)]: (produc1615133358on_fml @ (^ [B:(char > option_trm)]: (produc1420172399on_fml @ (^ [C:(char > option_fml),D:(char > option_game)]: (C)))))) @ sigma @ p))) @ va) != bot_bot_set_variable))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_28_calculation_I1_J)). 70.79/19.44 thf(1194,plain,((~ ((((inf_inf_set_variable @ (static_FVF @ (the_fml @ (produc1250175341on_fml @ (^ [A:(char > option_trm)]: (produc1615133358on_fml @ (^ [B:(char > option_trm)]: (produc1420172399on_fml @ (^ [C:(char > option_fml),D:(char > option_game)]: (C)))))) @ sigma @ p))) @ va) = bot_bot_set_variable) => ((uSubst516392804stappf @ sigma @ ua @ (pred @ p @ theta)) = (uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta))) @ bot_bot_set_variable @ (the_fml @ (produc1250175341on_fml @ (^ [A:(char > option_trm)]: (produc1615133358on_fml @ (^ [B:(char > option_trm)]: (produc1420172399on_fml @ (^ [C:(char > option_fml),D:(char > option_game)]: (C)))))) @ sigma @ p))))) & (((uSubst516392804stappf @ sigma @ ua @ (pred @ p @ theta)) = none_fml) | ((inf_inf_set_variable @ (static_FVF @ (the_fml @ (produc1250175341on_fml @ (^ [A:(char > option_trm)]: (produc1615133358on_fml @ (^ [B:(char > option_trm)]: (produc1420172399on_fml @ (^ [C:(char > option_fml),D:(char > option_game)]: (C)))))) @ sigma @ p))) @ va) = bot_bot_set_variable))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[238])). 70.79/19.44 thf(26,axiom,((! [A:variable,B:set_variable,C:set_variable]: ((member_variable @ A @ (inf_inf_set_variable @ B @ C)) => (~ ((member_variable @ A @ B) => (~ (member_variable @ A @ C))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_168_IntE)). 70.79/19.44 thf(406,plain,((! [A:variable,B:set_variable,C:set_variable]: ((member_variable @ A @ (inf_inf_set_variable @ B @ C)) => (~ ((member_variable @ A @ B) => (~ (member_variable @ A @ C))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[26])). 70.79/19.44 thf(152,axiom,((! [A:$o,B:(trm > $o),C:option_trm]: (((~ (! [D:trm]: ((~ (B @ D)) <= (C = (some_trm @ D))))) <= ((C = none_trm) => (~ (A)))) <= (case_option_o_trm @ A @ B @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_75_case__optionE)). 70.79/19.44 thf(831,plain,((! [A:$o,B:(trm > $o),C:option_trm]: (~ (! [D:trm]: (~ (B @ D) | ~ (C = (some_trm @ D)))) | ~ ((C = none_trm) => (~ (A))) | ~ (case_option_o_trm @ A @ (B) @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[152])). 70.79/19.44 thf(278,axiom,((('?' @ option_fml) = (^ [A:(option_fml > $o)]: ((A @ none_fml) | ? [B:fml]: (A @ (some_fml @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_106_split__option__ex)). 70.79/19.44 thf(1408,plain,((('?' @ option_fml) = (^ [A:(option_fml > $o)]: ((A @ none_fml) | ? [B:fml]: (A @ (some_fml @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[278])). 70.79/19.44 thf(219,axiom,((! [A:(option_trm > (option_trm > $o)),B:option_trm,C:option_trm]: ((! [D:trm,E:trm]: (A @ (some_trm @ D) @ (some_trm @ E))) => (((! [D:trm]: (A @ (some_trm @ D) @ none_trm)) => (A @ B @ C)) <= (! [D:option_trm]: (A @ none_trm @ D)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_157_Timeso_Oinduct)). 70.79/19.44 thf(1117,plain,((! [A:(option_trm > (option_trm > $o)),B:option_trm,C:option_trm]: ((! [D:trm,E:trm]: (A @ (some_trm @ D) @ (some_trm @ E))) => (((! [D:trm]: (A @ (some_trm @ D) @ none_trm)) => (A @ B @ C)) | ~ (! [D:option_trm]: (A @ none_trm @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[219])). 70.79/19.44 thf(30,axiom,((! [A:variable,B:set_variable,C:set_variable]: ((member_variable @ A @ (inf_inf_set_variable @ B @ C)) => (member_variable @ A @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_170_IntD2)). 70.79/19.44 thf(419,plain,((! [A:variable,B:set_variable,C:set_variable]: ((member_variable @ A @ (inf_inf_set_variable @ B @ C)) => (member_variable @ A @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[30])). 70.79/19.44 thf(202,axiom,((! [A:set_variable,B:set_variable,C:set_variable]: ((inf_inf_set_variable @ (inf_inf_set_variable @ A @ B) @ C) = (inf_inf_set_variable @ A @ (inf_inf_set_variable @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_171_Int__assoc)). 70.79/19.44 thf(1048,plain,((! [A:set_variable,B:set_variable,C:set_variable]: ((inf_inf_set_variable @ (inf_inf_set_variable @ A @ B) @ C) = (inf_inf_set_variable @ A @ (inf_inf_set_variable @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[202])). 70.79/19.44 thf(187,axiom,((produc724717725on_fml = produc1499310791on_fml)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_212_internal__case__prod__def)). 70.79/19.44 thf(990,plain,(((produc724717725on_fml) = (produc1499310791on_fml))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[187])). 70.79/19.44 thf(16,axiom,((! [A:variable,B:(variable > $o)]: ((member_variable @ A @ (collect_variable @ B)) = (B @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_71_mem__Collect__eq)). 70.79/19.44 thf(362,plain,((! [A:variable,B:(variable > $o)]: ((member_variable @ A @ (collect_variable @ (B))) = (B @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[16])). 70.79/19.44 thf(123,axiom,((! [A:produc1418842292n_game,B:set_variable,C:trm,D:trm]: ((((uSubst516392818stappt @ A @ B @ C) != none_trm) & ((uSubst516392818stappt @ A @ B @ D) != none_trm)) <= ((uSubst516392818stappt @ A @ B @ (plus @ C @ D)) != none_trm)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_338_usubstappt__plus__conv)). 70.79/19.44 thf(737,plain,((! [A:produc1418842292n_game,B:set_variable,C:trm,D:trm]: ((~ ((uSubst516392818stappt @ A @ B @ C) = none_trm) & ~ ((uSubst516392818stappt @ A @ B @ D) = none_trm)) | ((uSubst516392818stappt @ A @ B @ (plus @ C @ D)) = none_trm)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[123])). 70.79/19.44 thf(200,axiom,((case_o325794063ml_trm = (^ [A:option_fml,B:(trm > option_fml),C:option_trm]: (if_option_fml @ (C = none_trm) @ A @ (B @ (the_trm @ C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_137_option_Ocase__eq__if)). 70.79/19.44 thf(1043,plain,(((case_o325794063ml_trm) = (^ [A:option_fml,B:(trm > option_fml),C:option_trm]: (if_option_fml @ (C = none_trm) @ A @ (B @ (the_trm @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[200])). 70.79/19.44 thf(83,axiom,((! [A:trm,B:trm,C:trm,D:trm]: (((geq @ A @ B) = (geq @ C @ D)) = ((A = C) & (B = D))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_193_fml_Oinject_I2_J)). 70.79/19.44 thf(599,plain,((! [A:trm,B:trm,C:trm,D:trm]: (((geq @ A @ B) = (geq @ C @ D)) = ((A = C) & (B = D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[83])). 70.79/19.44 thf(289,axiom,(((uSubst516392804stappf @ sigma @ va @ (pred @ p @ theta)) != none_fml)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_Pred_Oprems_I2_J)). 70.79/19.44 thf(1439,plain,((~ ((uSubst516392804stappf @ sigma @ va @ (pred @ p @ theta)) = none_fml))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[289])). 70.79/19.44 thf(48,axiom,((! [A:variable,B:set_variable,C:set_variable]: (((member_variable @ A @ C) => (member_variable @ A @ (inf_inf_set_variable @ B @ C))) <= (member_variable @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_145_IntI)). 70.79/19.44 thf(477,plain,((! [A:variable,B:set_variable,C:set_variable]: (((member_variable @ A @ C) => (member_variable @ A @ (inf_inf_set_variable @ B @ C))) | ~ (member_variable @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[48])). 70.79/19.44 thf(11,axiom,((! [A:variable,B:trm]: ((var @ A) != (differential @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_321_trm_Odistinct_I11_J)). 70.79/19.44 thf(345,plain,((! [A:variable,B:trm]: ~ ((var @ A) = (differential @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[11])). 70.79/19.44 thf(5,axiom,((! [A:set_variable,B:set_variable]: ((inf_inf_variable_o @ (^ [C:variable]: (member_variable @ C @ A)) @ (^ [C:variable]: (member_variable @ C @ B))) = (^ [C:variable]: (member_variable @ C @ (inf_inf_set_variable @ A @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_200_inf__Int__eq)). 70.79/19.44 thf(323,plain,((! [A:set_variable,B:set_variable]: ((inf_inf_variable_o @ (^ [C:variable]: (member_variable @ C @ A)) @ (^ [C:variable]: (member_variable @ C @ B))) = (^ [C:variable]: (member_variable @ C @ (inf_inf_set_variable @ A @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[5])). 70.79/19.44 thf(142,axiom,((! [A:set_variable,B:set_variable]: (((inf_inf_set_variable @ A @ B) = bot_bot_set_variable) = (! [C:variable]: ((~ (member_variable @ C @ B)) <= (member_variable @ C @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_182_disjoint__iff)). 70.79/19.44 thf(799,plain,((! [A:set_variable,B:set_variable]: (((inf_inf_set_variable @ A @ B) = bot_bot_set_variable) = (! [C:variable]: (~ (member_variable @ C @ B) | ~ (member_variable @ C @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[142])). 70.79/19.44 thf(50,axiom,((! [A:variable,B:real]: ((var @ A) != (number @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_309_trm_Odistinct_I1_J)). 70.79/19.44 thf(483,plain,((! [A:variable,B:real]: ~ ((var @ A) = (number @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[50])). 70.79/19.44 thf(57,axiom,((! [A:variable,B:trm,C:trm]: ((var @ A) != (plus @ B @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_319_trm_Odistinct_I7_J)). 70.79/19.44 thf(520,plain,((! [A:variable,B:trm,C:trm]: ~ ((var @ A) = (plus @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[57])). 70.79/19.44 thf(198,axiom,((uSubst_Mirabelle_dot = (const @ (char2 @ $false @ $true @ $true @ $true @ $false @ $true @ $false @ $false)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_341_dot__def)). 70.79/19.44 thf(1029,plain,((uSubst_Mirabelle_dot = (const @ (char2 @ $false @ $true @ $true @ $true @ $false @ $true @ $false @ $false)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[198])). 70.79/19.44 thf(234,axiom,((! [A:(variable > (option_fml > $o)),B:variable,C:option_fml]: (((A @ B @ C) <= (! [D:variable]: (A @ D @ none_fml))) <= (! [D:variable,E:fml]: (A @ D @ (some_fml @ E)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_15_Existso_Oinduct)). 70.79/19.44 thf(1177,plain,((! [A:(variable > (option_fml > $o)),B:variable,C:option_fml]: ((A @ B @ C) | ~ (! [D:variable]: (A @ D @ none_fml)) | ~ (! [D:variable,E:fml]: (A @ D @ (some_fml @ E)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[234])). 70.79/19.44 thf(7,axiom,((! [A:char,B:trm,C:char,D:trm]: (((func @ A @ B) = (func @ C @ D)) = ((B = D) & (A = C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_226_trm_Oinject_I4_J)). 70.79/19.44 thf(330,plain,((! [A:char,B:trm,C:char,D:trm]: (((func @ A @ B) = (func @ C @ D)) = ((B = D) & (A = C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[7])). 70.79/19.44 thf(225,axiom,((bot_bo1895715589game_o = (^ [A:(char > option_fml),B:(char > option_game)]: (member849814089n_game @ (produc123610156n_game @ A @ B) @ bot_bo456479484n_game)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_258_bot__empty__eq2)). 70.79/19.44 thf(1149,plain,(((bot_bo1895715589game_o) = (^ [A:(char > option_fml),B:(char > option_game)]: (member849814089n_game @ (produc123610156n_game @ A @ B) @ bot_bo456479484n_game)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[225])). 70.79/19.44 thf(180,axiom,((! [A:option_trm]: ((A != none_trm) = (? [B:trm]: (A = (some_trm @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_44_not__None__eq)). 70.79/19.44 thf(964,plain,((! [A:option_trm]: ((~ (A = none_trm)) = (? [B:trm]: (A = (some_trm @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[180])). 70.79/19.44 thf(43,axiom,((! [A:set_variable]: ((collect_variable @ (^ [B:variable]: (member_variable @ B @ A))) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_72_Collect__mem__eq)). 70.79/19.44 thf(462,plain,((! [A:set_variable]: ((collect_variable @ (^ [B:variable]: (member_variable @ B @ A))) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[43])). 70.79/19.44 thf(174,axiom,((! [A:set_variable,B:set_variable]: ((inf_inf_set_variable @ A @ (inf_inf_set_variable @ A @ B)) = (inf_inf_set_variable @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_55_inf__left__idem)). 70.79/19.44 thf(932,plain,((! [A:set_variable,B:set_variable]: ((inf_inf_set_variable @ A @ (inf_inf_set_variable @ A @ B)) = (inf_inf_set_variable @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[174])). 70.79/19.44 thf(232,axiom,((! [A:trm,B:trm]: ((uSubst152838031e_Geqo @ (some_trm @ A) @ (some_trm @ B)) = (some_fml @ (geq @ A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_196_Geqo_Osimps_I1_J)). 70.79/19.44 thf(1171,plain,((! [A:trm,B:trm]: ((uSubst152838031e_Geqo @ (some_trm @ A) @ (some_trm @ B)) = (some_fml @ (geq @ A @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[232])). 70.79/19.44 thf(184,axiom,((('!' @ option_game) = (^ [A:(option_game > $o)]: (! [B:game]: (A @ (some_game @ B)) & (A @ none_game))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_111_split__option__all)). 70.79/19.44 thf(983,plain,((('!' @ option_game) = (^ [A:(option_game > $o)]: (! [B:game]: (A @ (some_game @ B)) & (A @ none_game))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[184])). 70.79/19.44 thf(274,axiom,((! [A:produc1418842292n_game,B:set_variable,C:char,D:trm]: ((uSubst516392804stappf @ A @ B @ (pred @ C @ D)) = (case_o325794063ml_trm @ none_fml @ (^ [E:trm]: (case_o209804997ml_fml @ (some_fml @ (pred @ C @ E)) @ (^ [F:fml]: (if_option_fml @ ((inf_inf_set_variable @ (static_FVF @ F) @ B) = bot_bot_set_variable) @ (uSubst516392804stappf @ (uSubst1408967625substt @ E) @ bot_bot_set_variable @ F) @ none_fml)) @ (produc1250175341on_fml @ (^ [F:(char > option_trm)]: (produc1615133358on_fml @ (^ [G:(char > option_trm)]: (produc1420172399on_fml @ (^ [H:(char > option_fml),I:(char > option_game)]: (H)))))) @ A @ C))) @ (uSubst516392818stappt @ A @ B @ D))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_46_usubstappf_Osimps_I1_J)). 70.79/19.44 thf(1396,plain,((! [A:produc1418842292n_game,B:set_variable,C:char,D:trm]: ((uSubst516392804stappf @ A @ B @ (pred @ C @ D)) = (case_o325794063ml_trm @ none_fml @ (^ [E:trm]: (case_o209804997ml_fml @ (some_fml @ (pred @ C @ E)) @ (^ [F:fml]: (if_option_fml @ ((inf_inf_set_variable @ (static_FVF @ F) @ B) = bot_bot_set_variable) @ (uSubst516392804stappf @ (uSubst1408967625substt @ E) @ bot_bot_set_variable @ F) @ none_fml)) @ (produc1250175341on_fml @ (^ [F:(char > option_trm)]: (produc1615133358on_fml @ (^ [G:(char > option_trm)]: (produc1420172399on_fml @ (^ [H:(char > option_fml),I:(char > option_game)]: (H)))))) @ A @ C))) @ (uSubst516392818stappt @ A @ B @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[274])). 70.79/19.44 thf(296,axiom,((! [A:(option_game > (option_fml > $o)),B:option_game,C:option_fml]: ((((! [D:game]: (A @ (some_game @ D) @ none_fml)) => (A @ B @ C)) <= (! [D:option_fml]: (A @ none_game @ D))) <= (! [D:game,E:fml]: (A @ (some_game @ D) @ (some_fml @ E)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_63_Diamondo_Oinduct)). 70.79/19.44 thf(1474,plain,((! [A:(option_game > (option_fml > $o)),B:option_game,C:option_fml]: (((! [D:game]: (A @ (some_game @ D) @ none_fml)) => (A @ B @ C)) | ~ (! [D:option_fml]: (A @ none_game @ D)) | ~ (! [D:game,E:fml]: (A @ (some_game @ D) @ (some_fml @ E)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[296])). 70.79/19.44 thf(162,axiom,((! [A:((char > option_fml) > ((char > option_game) > option_trm)),B:(produc799602994n_game > option_trm)]: ((! [C:(char > option_fml),D:(char > option_game)]: ((A @ C @ D) = (B @ (produc123610156n_game @ C @ D)))) => ((produc885547027on_trm @ A) = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_270_cond__case__prod__eta)). 70.79/19.44 thf(883,plain,((! [A:((char > option_fml) > ((char > option_game) > option_trm)),B:(produc799602994n_game > option_trm)]: ((! [C:(char > option_fml),D:(char > option_game)]: ((A @ (C) @ (D)) = (B @ (produc123610156n_game @ (C) @ (D))))) => ((produc885547027on_trm @ (A)) = (B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[162])). 70.79/19.44 thf(86,axiom,((! [A:trm,B:trm]: (((some_trm @ A) = (some_trm @ B)) = (A = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_60_option_Oinject)). 70.79/19.44 thf(608,plain,((! [A:trm,B:trm]: (((some_trm @ A) = (some_trm @ B)) = (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[86])). 70.79/19.44 thf(218,axiom,((! [A:produc799602994n_game,B:((char > option_fml) > ((char > option_game) > $o))]: ((produc159680767game_o @ B @ A) <= (! [C:(char > option_fml),D:(char > option_game)]: ((B @ C @ D) <= (A = (produc123610156n_game @ C @ D))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_236_case__prodI2)). 70.79/19.44 thf(1113,plain,((! [A:produc799602994n_game,B:((char > option_fml) > ((char > option_game) > $o))]: ((produc159680767game_o @ (B) @ A) | ~ (! [C:(char > option_fml),D:(char > option_game)]: ((B @ (C) @ (D)) | ~ (A = (produc123610156n_game @ (C) @ (D)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[218])). 70.79/19.44 thf(297,axiom,((! [A:option_fml]: (((uSubst1367128042_Testo @ A) = none_game) = (A = none_fml)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_215_Testo__undef)). 70.79/19.44 thf(1477,plain,((! [A:option_fml]: (((uSubst1367128042_Testo @ A) = none_game) = (A = none_fml)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[297])). 70.79/19.44 thf(34,axiom,((! [A:variable,B:trm,C:trm]: ((var @ A) != (times @ B @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_320_trm_Odistinct_I9_J)). 70.79/19.44 thf(431,plain,((! [A:variable,B:trm,C:trm]: ~ ((var @ A) = (times @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[34])). 70.79/19.44 thf(241,axiom,((! [A:option_fml,B:(fml > option_fml),C:option_fml]: (((C != none_fml) => ((case_o209804997ml_fml @ A @ B @ C) = (B @ (the_fml @ C)))) & (((case_o209804997ml_fml @ A @ B @ C) = A) <= (C = none_fml))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_f7)). 70.79/19.44 thf(1213,plain,((! [A:option_fml,B:(fml > option_fml),C:option_fml]: (((~ (C = none_fml)) => ((case_o209804997ml_fml @ A @ (B) @ C) = (B @ (the_fml @ C)))) & (((case_o209804997ml_fml @ A @ (B) @ C) = A) | ~ (C = none_fml))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[241])). 70.79/19.44 thf(133,axiom,((! [A:(produc799602994n_game > option_trm)]: ((produc885547027on_trm @ (^ [B:(char > option_fml),C:(char > option_game)]: (A @ (produc123610156n_game @ B @ C)))) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_280_case__prod__eta)). 70.79/19.44 thf(768,plain,((! [A:(produc799602994n_game > option_trm)]: ((produc885547027on_trm @ (^ [B:(char > option_fml),C:(char > option_game)]: (A @ (produc123610156n_game @ B @ C)))) = (A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[133])). 70.79/19.44 thf(95,axiom,((! [A:option_game]: (((some_game @ (the_game @ A)) = A) <= (A != none_game)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_39_option_Ocollapse)). 70.79/19.44 thf(636,plain,((! [A:option_game]: (((some_game @ (the_game @ A)) = A) | (A = none_game)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[95])). 70.79/19.44 thf(109,axiom,((! [A:set_variable]: ((inf_inf_set_variable @ A @ A) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_57_inf__idem)). 70.79/19.44 thf(695,plain,((! [A:set_variable]: ((inf_inf_set_variable @ A @ A) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[109])). 70.79/19.44 thf(208,axiom,((! [A:set_variable,B:set_variable]: ((inf_inf_set_variable @ A @ (inf_inf_set_variable @ A @ B)) = (inf_inf_set_variable @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_88_inf__sup__aci_I4_J)). 70.79/19.44 thf(1066,plain,((! [A:set_variable,B:set_variable]: ((inf_inf_set_variable @ A @ (inf_inf_set_variable @ A @ B)) = (inf_inf_set_variable @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[208])). 70.79/19.44 thf(291,axiom,((! [A:produc1408538418on_fml]: ((! [B:variable,C:fml]: (A != (produc1205977188on_fml @ B @ (some_fml @ C)))) => (~ (! [B:variable]: (A != (produc1205977188on_fml @ B @ none_fml))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_296_Existso_Ocases)). 70.79/19.44 thf(1445,plain,((! [A:produc1408538418on_fml]: ((! [B:variable,C:fml]: ~ (A = (produc1205977188on_fml @ B @ (some_fml @ C)))) => (~ (! [B:variable]: ~ (A = (produc1205977188on_fml @ B @ none_fml))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[291])). 70.79/19.44 thf(158,axiom,((! [A:option_trm]: ((! [B:trm]: (A != (some_trm @ B))) => (A = none_trm)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_160_Differentialo_Ocases)). 70.79/19.44 thf(868,plain,((! [A:option_trm]: ((! [B:trm]: ~ (A = (some_trm @ B))) => (A = none_trm)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[158])). 70.79/19.44 thf(52,axiom,((! [A:(variable > $o)]: ((bot_bot_set_variable = (collect_variable @ A)) = (! [B:variable]: ~ (A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_146_empty__Collect__eq)). 70.79/19.44 thf(490,plain,((! [A:(variable > $o)]: ((bot_bot_set_variable = (collect_variable @ (A))) = (! [B:variable]: ~ (A @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[52])). 70.79/19.44 thf(230,axiom,((none_trm = none_trm)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_162_undeft__None)). 70.79/19.44 thf(1166,plain,($true),inference(defexp_and_simp_and_etaexpand,[status(thm)],[230])). 70.79/19.44 thf(66,axiom,((inf_inf_set_variable = (^ [A:set_variable,B:set_variable]: (inf_inf_set_variable @ B @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_80_inf_Ocommute)). 70.79/19.44 thf(548,plain,(((inf_inf_set_variable) = (^ [A:set_variable,B:set_variable]: (inf_inf_set_variable @ B @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[66])). 70.79/19.44 thf(126,axiom,((! [A:game,B:game]: (((some_game @ A) = (some_game @ B)) = (A = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_61_option_Oinject)). 70.79/19.44 thf(749,plain,((! [A:game,B:game]: (((some_game @ A) = (some_game @ B)) = (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[126])). 70.79/19.44 thf(89,axiom,((! [A:set_Pr79606376n_game,B:set_Pr79606376n_game]: (((^ [C:(char > option_fml),D:(char > option_game)]: (member849814089n_game @ (produc123610156n_game @ C @ D) @ A)) = (^ [C:(char > option_fml),D:(char > option_game)]: (member849814089n_game @ (produc123610156n_game @ C @ D) @ B))) = (A = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_263_pred__equals__eq2)). 70.79/19.44 thf(617,plain,((! [A:set_Pr79606376n_game,B:set_Pr79606376n_game]: (((^ [C:(char > option_fml),D:(char > option_game)]: (member849814089n_game @ (produc123610156n_game @ C @ D) @ A)) = (^ [C:(char > option_fml),D:(char > option_game)]: (member849814089n_game @ (produc123610156n_game @ C @ D) @ B))) = (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[89])). 70.79/19.44 thf(14,axiom,((! [A:set_variable]: ((! [B:variable]: ~ (member_variable @ B @ A)) => (A = bot_bot_set_variable)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_165_equals0I)). 70.79/19.44 thf(355,plain,((! [A:set_variable]: ((! [B:variable]: ~ (member_variable @ B @ A)) => (A = bot_bot_set_variable)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[14])). 70.79/19.44 thf(128,axiom,((! [A:(option_trm > option_trm),B:((char > option_fml) > ((char > option_game) > option_trm)),C:produc799602994n_game]: ((A @ (produc885547027on_trm @ B @ C)) = (produc885547027on_trm @ (^ [D:(char > option_fml),E:(char > option_game)]: (A @ (B @ D @ E))) @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_19_prod_Ocase__distrib)). 70.79/19.44 thf(754,plain,((! [A:(option_trm > option_trm),B:((char > option_fml) > ((char > option_game) > option_trm)),C:produc799602994n_game]: ((A @ (produc885547027on_trm @ (B) @ C)) = (produc885547027on_trm @ (^ [D:(char > option_fml),E:(char > option_game)]: (A @ (B @ D @ E))) @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[128])). 70.79/19.44 thf(99,axiom,((! [A:option_game,B:(option_game > (option_game > $o)),C:option_game]: ((((B @ A @ C) <= (! [D:game,E:game]: (((C = (some_game @ E)) => (B @ A @ C)) <= (A = (some_game @ D))))) <= ((B @ A @ C) <= (C = none_game))) <= ((A = none_game) => (B @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_120_combine__options__cases)). 70.79/19.44 thf(648,plain,((! [A:option_game,B:(option_game > (option_game > $o)),C:option_game]: ((B @ A @ C) | ~ (! [D:game,E:game]: (((C = (some_game @ E)) => (B @ A @ C)) | ~ (A = (some_game @ D)))) | ~ ((B @ A @ C) | ~ (C = none_game)) | ~ ((A = none_game) => (B @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[99])). 70.79/19.44 thf(51,axiom,((! [A:set_variable]: ((! [B:variable]: ~ (member_variable @ B @ A)) = (A = bot_bot_set_variable)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_148_all__not__in__conv)). 70.79/19.44 thf(487,plain,((! [A:set_variable]: ((! [B:variable]: ~ (member_variable @ B @ A)) = (A = bot_bot_set_variable)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[51])). 70.79/19.44 thf(145,axiom,((! [A:(char > option_fml),B:(char > option_game),C:(char > option_fml),D:(char > option_game)]: (((produc123610156n_game @ A @ B) = (produc123610156n_game @ C @ D)) = ((B = D) & (A = C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_220_prod_Oinject)). 70.79/19.44 thf(812,plain,((! [A:(char > option_fml),B:(char > option_game),C:(char > option_fml),D:(char > option_game)]: (((produc123610156n_game @ (A) @ (B)) = (produc123610156n_game @ (C) @ (D))) = (((B) = (D)) & ((A) = (C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[145])). 70.79/19.44 thf(303,axiom,((produc377919108on_fml = produc1615133358on_fml)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_205_internal__case__prod__def)). 70.79/19.44 thf(1509,plain,(((produc377919108on_fml) = (produc1615133358on_fml))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[303])). 70.79/19.44 thf(136,axiom,((! [A:set_variable,B:set_variable,C:set_variable]: ((inf_inf_set_variable @ A @ (inf_inf_set_variable @ B @ C)) = (inf_inf_set_variable @ B @ (inf_inf_set_variable @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_175_Int__left__commute)). 70.79/19.44 thf(776,plain,((! [A:set_variable,B:set_variable,C:set_variable]: ((inf_inf_set_variable @ A @ (inf_inf_set_variable @ B @ C)) = (inf_inf_set_variable @ B @ (inf_inf_set_variable @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[136])). 70.79/19.44 thf(69,axiom,((! [A:option_fml,B:(trm > option_fml)]: ((case_o325794063ml_trm @ A @ B @ none_trm) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_122_option_Osimps_I4_J)). 70.79/19.44 thf(557,plain,((! [A:option_fml,B:(trm > option_fml)]: ((case_o325794063ml_trm @ A @ (B) @ none_trm) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[69])). 70.79/19.44 thf(306,axiom,((! [A:option_fml]: ((A != none_fml) = (? [B:fml]: (A = (some_fml @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_43_not__None__eq)). 70.79/19.44 thf(1516,plain,((! [A:option_fml]: ((~ (A = none_fml)) = (? [B:fml]: (A = (some_fml @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[306])). 70.79/19.44 thf(159,axiom,((! [A:(char > (option_trm > $o)),B:char,C:option_trm]: (((! [D:char]: (A @ D @ none_trm)) => (A @ B @ C)) <= (! [D:char,E:trm]: (A @ D @ (some_trm @ E)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_153_ODEo_Oinduct)). 70.79/19.44 thf(872,plain,((! [A:(char > (option_trm > $o)),B:char,C:option_trm]: (((! [D:char]: (A @ D @ none_trm)) => (A @ B @ C)) | ~ (! [D:char,E:trm]: (A @ D @ (some_trm @ E)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[159])). 70.79/19.44 thf(113,axiom,((! [A:(option_trm > $o),B:option_trm,C:(trm > option_trm),D:option_trm]: ((A @ (case_o487727941rm_trm @ B @ C @ D)) = (~ (((D = none_trm) & ~ (A @ B)) | (~ (A @ (C @ (the_trm @ D))) & (D = (some_trm @ (the_trm @ D))))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_51_option_Osplit__sel__asm)). 70.79/19.44 thf(707,plain,((! [A:(option_trm > $o),B:option_trm,C:(trm > option_trm),D:option_trm]: ((A @ (case_o487727941rm_trm @ B @ (C) @ D)) = (~ (((D = none_trm) & ~ (A @ B)) | (~ (A @ (C @ (the_trm @ D))) & (D = (some_trm @ (the_trm @ D))))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[113])). 70.79/19.44 thf(310,axiom,((! [A:option_fml]: ((A != none_fml) = (case_option_o_fml @ $false @ (^ [B:fml]: ($true)) @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_64_option_Odisc__eq__case_I2_J)). 70.79/19.44 thf(1531,plain,((! [A:option_fml]: ((~ (A = none_fml)) = (case_option_o_fml @ $false @ (^ [B:fml]: ($true)) @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[310])). 70.79/19.44 thf(27,axiom,((inf_inf_set_variable = (^ [A:set_variable,B:set_variable]: (collect_variable @ (^ [C:variable]: ((member_variable @ C @ A) & (member_variable @ C @ B))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_179_Int__def)). 70.79/19.44 thf(409,plain,(((inf_inf_set_variable) = (^ [A:set_variable,B:set_variable]: (collect_variable @ (^ [C:variable]: ((member_variable @ C @ A) & (member_variable @ C @ B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[27])). 70.79/19.44 thf(300,axiom,((! [A:option_fml,B:fml]: ((A != none_fml) <= (A = (some_fml @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_97_option_OdiscI)). 70.79/19.44 thf(1484,plain,((! [A:option_fml,B:fml]: (~ (A = none_fml) | ~ (A = (some_fml @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[300])). 70.79/19.44 thf(103,axiom,((! [A:option_trm,B:option_trm]: (((uSubst141955042_Pluso @ A @ B) = none_trm) = ((A = none_trm) | (B = none_trm))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_347_Pluso__undef)). 70.79/19.44 thf(673,plain,((! [A:option_trm,B:option_trm]: (((uSubst141955042_Pluso @ A @ B) = none_trm) = ((A = none_trm) | (B = none_trm))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[103])). 70.79/19.44 thf(237,axiom,((! [A:(option_fml > $o),B:option_fml]: ((! [C:fml]: (A @ (some_fml @ C))) => ((A @ B) <= (A @ none_fml))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13_Testo_Oinduct)). 70.79/19.44 thf(1188,plain,((! [A:(option_fml > $o),B:option_fml]: ((! [C:fml]: (A @ (some_fml @ C))) => ((A @ B) | ~ (A @ none_fml))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[237])). 70.79/19.44 thf(37,axiom,((! [A:trm,B:trm,C:trm]: ((plus @ A @ B) != (differential @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_331_trm_Odistinct_I39_J)). 70.79/19.44 thf(441,plain,((! [A:trm,B:trm,C:trm]: ~ ((plus @ A @ B) = (differential @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[37])). 70.79/19.44 thf(79,axiom,((! [A:(option_game > (option_game > $o)),B:option_game,C:option_game]: ((((A @ B @ C) <= (! [D:game]: (A @ none_game @ (some_game @ D)))) <= (! [D:option_game]: (A @ D @ none_game))) <= (! [D:game,E:game]: (A @ (some_game @ D) @ (some_game @ E)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_159_Composeo_Oinduct)). 70.79/19.44 thf(585,plain,((! [A:(option_game > (option_game > $o)),B:option_game,C:option_game]: ((A @ B @ C) | ~ (! [D:game]: (A @ none_game @ (some_game @ D))) | ~ (! [D:option_game]: (A @ D @ none_game)) | ~ (! [D:game,E:game]: (A @ (some_game @ D) @ (some_game @ E)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[79])). 70.79/19.44 thf(117,axiom,((bot_bo1417568964game_o = (^ [A:(char > option_trm),B:produc799602994n_game]: (member774167626n_game @ (produc1048060077n_game @ A @ B) @ bot_bo1302831229n_game)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_257_bot__empty__eq2)). 70.79/19.44 thf(717,plain,(((bot_bo1417568964game_o) = (^ [A:(char > option_trm),B:produc799602994n_game]: (member774167626n_game @ (produc1048060077n_game @ A @ B) @ bot_bo1302831229n_game)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[117])). 70.79/19.44 thf(256,axiom,((! [A:option_fml,B:(option_fml > (option_game > $o)),C:option_game]: (((B @ A @ C) <= (A = none_fml)) => (((B @ A @ C) <= (! [D:fml,E:game]: (((C = (some_game @ E)) => (B @ A @ C)) <= (A = (some_fml @ D))))) <= ((B @ A @ C) <= (C = none_game)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_114_combine__options__cases)). 70.79/19.44 thf(1317,plain,((! [A:option_fml,B:(option_fml > (option_game > $o)),C:option_game]: (((B @ A @ C) | ~ (A = none_fml)) => ((B @ A @ C) | ~ (! [D:fml,E:game]: (((C = (some_game @ E)) => (B @ A @ C)) | ~ (A = (some_fml @ D)))) | ~ ((B @ A @ C) | ~ (C = none_game)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[256])). 70.79/19.44 thf(76,axiom,((! [A:set_Pr739694057n_game,B:set_Pr739694057n_game]: ((inf_in1072207554game_o @ (^ [C:(char > option_trm),D:produc799602994n_game]: (member774167626n_game @ (produc1048060077n_game @ C @ D) @ A)) @ (^ [C:(char > option_trm),D:produc799602994n_game]: (member774167626n_game @ (produc1048060077n_game @ C @ D) @ B))) = (^ [C:(char > option_trm),D:produc799602994n_game]: (member774167626n_game @ (produc1048060077n_game @ C @ D) @ (inf_in69689467n_game @ A @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_252_inf__Int__eq2)). 70.79/19.44 thf(576,plain,((! [A:set_Pr739694057n_game,B:set_Pr739694057n_game]: ((inf_in1072207554game_o @ (^ [C:(char > option_trm),D:produc799602994n_game]: (member774167626n_game @ (produc1048060077n_game @ C @ D) @ A)) @ (^ [C:(char > option_trm),D:produc799602994n_game]: (member774167626n_game @ (produc1048060077n_game @ C @ D) @ B))) = (^ [C:(char > option_trm),D:produc799602994n_game]: (member774167626n_game @ (produc1048060077n_game @ C @ D) @ (inf_in69689467n_game @ A @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[76])). 70.79/19.44 thf(15,axiom,((! [A:variable,B:set_variable,C:(variable > $o)]: ((member_variable @ A @ (inf_inf_set_variable @ B @ (collect_variable @ C))) = ((C @ A) & (member_variable @ A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_178_Int__Collect)). 70.79/19.44 thf(359,plain,((! [A:variable,B:set_variable,C:(variable > $o)]: ((member_variable @ A @ (inf_inf_set_variable @ B @ (collect_variable @ (C)))) = ((C @ A) & (member_variable @ A @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[15])). 70.79/19.44 thf(242,axiom,((! [A:((char > option_trm) > (produc799602994n_game > (char > option_fml))),B:(produc62062515n_game > (char > option_fml))]: (((produc1615133358on_fml @ A) = B) <= (! [C:(char > option_trm),D:produc799602994n_game]: ((A @ C @ D) = (B @ (produc1048060077n_game @ C @ D))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_266_cond__case__prod__eta)). 70.79/19.44 thf(1220,plain,((! [A:((char > option_trm) > (produc799602994n_game > (char > option_fml))),B:(produc62062515n_game > (char > option_fml))]: (((produc1615133358on_fml @ (A)) = (B)) | ~ (! [C:(char > option_trm),D:produc799602994n_game]: ((A @ C @ D) = (B @ (produc1048060077n_game @ C @ D))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[242])). 70.79/19.44 thf(302,axiom,((! [A:(produc1418842292n_game > (char > option_fml))]: ((produc1250175341on_fml @ (^ [B:(char > option_trm),C:produc62062515n_game]: (A @ (produc1618635950n_game @ B @ C)))) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_274_case__prod__eta)). 70.79/19.44 thf(1506,plain,((! [A:(produc1418842292n_game > (char > option_fml))]: ((produc1250175341on_fml @ (^ [B:(char > option_trm),C:produc62062515n_game]: (A @ (produc1618635950n_game @ B @ C)))) = (A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[302])). 70.79/19.44 thf(246,axiom,((! [A:((char > option_fml) > option_fml),B:((char > option_fml) > ((char > option_game) > (char > option_fml))),C:produc799602994n_game]: ((A @ (produc1420172399on_fml @ B @ C)) = (produc347802313on_fml @ (^ [D:(char > option_fml),E:(char > option_game)]: (A @ (B @ D @ E))) @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_22_prod_Ocase__distrib)). 70.79/19.44 thf(1240,plain,((! [A:((char > option_fml) > option_fml),B:((char > option_fml) > ((char > option_game) > (char > option_fml))),C:produc799602994n_game]: ((A @ (produc1420172399on_fml @ (B) @ C)) = (produc347802313on_fml @ (^ [D:(char > option_fml),E:(char > option_game)]: (A @ (B @ D @ E))) @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[246])). 70.79/19.44 thf(44,axiom,((! [A:(variable > $o),B:(variable > $o)]: ((! [C:variable]: ((A @ C) = (B @ C))) => ((collect_variable @ A) = (collect_variable @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_73_Collect__cong)). 70.79/19.44 thf(465,plain,((! [A:(variable > $o),B:(variable > $o)]: ((! [C:variable]: ((A @ C) = (B @ C))) => ((collect_variable @ (A)) = (collect_variable @ (B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[44])). 70.79/19.44 thf(235,axiom,((! [A:produc1418842292n_game,B:set_variable,C:trm,D:trm]: ((((uSubst516392818stappt @ A @ B @ D) != none_trm) & ((uSubst516392818stappt @ A @ B @ C) != none_trm)) <= ((uSubst516392804stappf @ A @ B @ (geq @ C @ D)) != none_fml)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_192_usubstappf__geq__conv)). 70.79/19.44 thf(1180,plain,((! [A:produc1418842292n_game,B:set_variable,C:trm,D:trm]: ((~ ((uSubst516392818stappt @ A @ B @ D) = none_trm) & ~ ((uSubst516392818stappt @ A @ B @ C) = none_trm)) | ((uSubst516392804stappf @ A @ B @ (geq @ C @ D)) = none_fml)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[235])). 70.79/19.44 thf(228,axiom,((! [A:produc1418842292n_game,B:set_variable,C:trm,D:trm]: ((uSubst516392804stappf @ A @ B @ (geq @ C @ D)) = (uSubst152838031e_Geqo @ (uSubst516392818stappt @ A @ B @ C) @ (uSubst516392818stappt @ A @ B @ D))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_195_usubstappf_Osimps_I2_J)). 70.79/19.44 thf(1157,plain,((! [A:produc1418842292n_game,B:set_variable,C:trm,D:trm]: ((uSubst516392804stappf @ A @ B @ (geq @ C @ D)) = (uSubst152838031e_Geqo @ (uSubst516392818stappt @ A @ B @ C) @ (uSubst516392818stappt @ A @ B @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[228])). 70.79/19.44 thf(182,axiom,((! [A:option_game]: ((~ (! [B:game]: (A != (some_game @ B)))) <= (A != none_game)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_102_option_Oexhaust)). 70.79/19.44 thf(976,plain,((! [A:option_game]: (~ (! [B:game]: ~ (A = (some_game @ B))) | (A = none_game)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[182])). 70.79/19.44 thf(58,axiom,((! [A:option_trm,B:(trm > option_trm)]: ((case_o487727941rm_trm @ A @ B @ none_trm) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_123_option_Osimps_I4_J)). 70.79/19.44 thf(524,plain,((! [A:option_trm,B:(trm > option_trm)]: ((case_o487727941rm_trm @ A @ (B) @ none_trm) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[58])). 70.79/19.44 thf(280,axiom,((! [A:option_fml]: ((! [B:fml]: (A != (some_fml @ B))) => (A = none_fml)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_12_Testo_Ocases)). 70.79/19.44 thf(1412,plain,((! [A:option_fml]: ((! [B:fml]: ~ (A = (some_fml @ B))) => (A = none_fml)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[280])). 70.79/19.44 thf(134,axiom,((! [A:(char > option_fml),B:(char > option_game),C:(char > option_fml),D:(char > option_game)]: (((produc123610156n_game @ A @ B) = (produc123610156n_game @ C @ D)) = ((B = D) & (A = C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_225_old_Oprod_Oinject)). 70.79/19.44 thf(771,plain,((! [A:(char > option_fml),B:(char > option_game),C:(char > option_fml),D:(char > option_game)]: (((produc123610156n_game @ (A) @ (B)) = (produc123610156n_game @ (C) @ (D))) = (((B) = (D)) & ((A) = (C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[134])). 70.79/19.44 thf(80,axiom,((! [A:option_trm]: ((! [B:trm]: (A != (some_trm @ B))) = (A = none_trm)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_41_not__Some__eq)). 70.79/19.44 thf(588,plain,((! [A:option_trm]: ((! [B:trm]: ~ (A = (some_trm @ B))) = (A = none_trm)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[80])). 70.79/19.44 thf(56,axiom,((! [A:option_trm,B:(trm > option_trm),C:trm]: ((case_o487727941rm_trm @ A @ B @ (some_trm @ C)) = (B @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_129_option_Osimps_I5_J)). 70.79/19.44 thf(517,plain,((! [A:option_trm,B:(trm > option_trm),C:trm]: ((case_o487727941rm_trm @ A @ (B) @ (some_trm @ C)) = (B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[56])). 70.79/19.44 thf(4,axiom,((! [A:variable,B:char,C:trm]: ((var @ A) != (func @ B @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_308_trm_Odistinct_I5_J)). 70.79/19.44 thf(319,plain,((! [A:variable,B:char,C:trm]: ~ ((var @ A) = (func @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[4])). 70.79/19.44 thf(261,axiom,((produc1598111045on_fml = produc1420172399on_fml)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_207_internal__case__prod__def)). 70.79/19.44 thf(1341,plain,(((produc1598111045on_fml) = (produc1420172399on_fml))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[261])). 70.79/19.44 thf(214,axiom,((! [A:set_variable]: ((inf_inf_set_variable @ A @ bot_bot_set_variable) = bot_bot_set_variable))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_184_Int__empty__right)). 70.79/19.44 thf(1101,plain,((! [A:set_variable]: ((inf_inf_set_variable @ A @ bot_bot_set_variable) = bot_bot_set_variable))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[214])). 70.79/19.44 thf(94,axiom,((! [A:produc1418842292n_game,B:((char > option_trm) > (produc62062515n_game > $o))]: ((! [C:(char > option_trm),D:produc62062515n_game]: ((B @ C @ D) <= (A = (produc1618635950n_game @ C @ D)))) => (produc1707653117game_o @ B @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_234_case__prodI2)). 70.79/19.44 thf(632,plain,((! [A:produc1418842292n_game,B:((char > option_trm) > (produc62062515n_game > $o))]: ((! [C:(char > option_trm),D:produc62062515n_game]: ((B @ (C) @ D) | ~ (A = (produc1618635950n_game @ (C) @ D)))) => (produc1707653117game_o @ (B) @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[94])). 70.79/19.44 thf(121,axiom,((! [A:((char > option_fml) > ((char > option_game) > option_fml)),B:(produc799602994n_game > option_fml)]: ((! [C:(char > option_fml),D:(char > option_game)]: ((A @ C @ D) = (B @ (produc123610156n_game @ C @ D)))) => ((produc347802313on_fml @ A) = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_269_cond__case__prod__eta)). 70.79/19.44 thf(731,plain,((! [A:((char > option_fml) > ((char > option_game) > option_fml)),B:(produc799602994n_game > option_fml)]: ((! [C:(char > option_fml),D:(char > option_game)]: ((A @ (C) @ (D)) = (B @ (produc123610156n_game @ (C) @ (D))))) => ((produc347802313on_fml @ (A)) = (B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[121])). 70.79/19.44 thf(189,axiom,((! [A:set_variable,B:set_variable]: ((inf_inf_set_variable @ (inf_inf_set_variable @ A @ B) @ B) = (inf_inf_set_variable @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_53_inf__right__idem)). 70.79/19.44 thf(995,plain,((! [A:set_variable,B:set_variable]: ((inf_inf_set_variable @ (inf_inf_set_variable @ A @ B) @ B) = (inf_inf_set_variable @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[189])). 70.79/19.44 thf(179,axiom,((! [A:char,B:trm,C:char,D:trm]: (((pred @ A @ B) = (pred @ C @ D)) = ((A = C) & (B = D))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_143_fml_Oinject_I1_J)). 70.79/19.44 thf(961,plain,((! [A:char,B:trm,C:char,D:trm]: (((pred @ A @ B) = (pred @ C @ D)) = ((A = C) & (B = D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[179])). 70.79/19.44 thf(270,axiom,((! [A:produc1418842292n_game,B:char,C:fml,D:set_variable,E:trm,F:trm]: (((produc1250175341on_fml @ (^ [G:(char > option_trm)]: (produc1615133358on_fml @ (^ [H:(char > option_trm)]: (produc1420172399on_fml @ (^ [I:(char > option_fml),J:(char > option_game)]: (I)))))) @ A @ B) = (some_fml @ C)) => (((inf_inf_set_variable @ (static_FVF @ C) @ D) = bot_bot_set_variable) => (((uSubst516392804stappf @ A @ D @ (pred @ B @ E)) = (uSubst516392804stappf @ (uSubst1408967625substt @ F) @ bot_bot_set_variable @ C)) <= ((uSubst516392818stappt @ A @ D @ E) = (some_trm @ F))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_62_usubstappf__pred)). 70.79/19.44 thf(1385,plain,((! [A:produc1418842292n_game,B:char,C:fml,D:set_variable,E:trm,F:trm]: (((produc1250175341on_fml @ (^ [G:(char > option_trm)]: (produc1615133358on_fml @ (^ [H:(char > option_trm)]: (produc1420172399on_fml @ (^ [I:(char > option_fml),J:(char > option_game)]: (I)))))) @ A @ B) = (some_fml @ C)) => (((inf_inf_set_variable @ (static_FVF @ C) @ D) = bot_bot_set_variable) => (((uSubst516392804stappf @ A @ D @ (pred @ B @ E)) = (uSubst516392804stappf @ (uSubst1408967625substt @ F) @ bot_bot_set_variable @ C)) | ~ ((uSubst516392818stappt @ A @ D @ E) = (some_trm @ F))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[270])). 70.79/19.44 thf(168,axiom,((! [A:(char > option_trm),B:produc799602994n_game,C:(char > option_trm),D:produc799602994n_game]: (((produc1048060077n_game @ A @ B) = (produc1048060077n_game @ C @ D)) = ((A = C) & (B = D))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_219_prod_Oinject)). 70.79/19.44 thf(914,plain,((! [A:(char > option_trm),B:produc799602994n_game,C:(char > option_trm),D:produc799602994n_game]: (((produc1048060077n_game @ (A) @ B) = (produc1048060077n_game @ (C) @ D)) = (((A) = (C)) & (B = D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[168])). 70.79/19.44 thf(54,axiom,((! [A:(option_trm > option_fml),B:option_trm,C:(trm > option_trm),D:option_trm]: ((A @ (case_o487727941rm_trm @ B @ C @ D)) = (case_o325794063ml_trm @ (A @ B) @ (^ [E:trm]: (A @ (C @ E))) @ D)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_92_option_Ocase__distrib)). 70.79/19.44 thf(510,plain,((! [A:(option_trm > option_fml),B:option_trm,C:(trm > option_trm),D:option_trm]: ((A @ (case_o487727941rm_trm @ B @ (C) @ D)) = (case_o325794063ml_trm @ (A @ B) @ (^ [E:trm]: (A @ (C @ E))) @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[54])). 70.79/19.44 thf(173,axiom,((! [A:fml,B:fml]: (((some_fml @ A) = (some_fml @ B)) = (A = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_59_option_Oinject)). 70.79/19.44 thf(929,plain,((! [A:fml,B:fml]: (((some_fml @ A) = (some_fml @ B)) = (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[173])). 70.79/19.44 thf(106,axiom,((! [A:option_trm,B:trm]: ((A != none_trm) <= (A = (some_trm @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_98_option_OdiscI)). 70.79/19.44 thf(684,plain,((! [A:option_trm,B:trm]: (~ (A = none_trm) | ~ (A = (some_trm @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[106])). 70.79/19.44 thf(290,axiom,((! [A:option_fml]: ((A = (some_fml @ (the_fml @ A))) <= (A != none_fml)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_133_option_Oexhaust__sel)). 70.79/19.44 thf(1442,plain,((! [A:option_fml]: ((A = (some_fml @ (the_fml @ A))) | (A = none_fml)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[290])). 70.79/19.44 thf(62,axiom,((! [A:trm]: (((((! [B:char,C:trm]: (A != (func @ B @ C))) => ((! [B:trm,C:trm]: (A != (plus @ B @ C))) => ((~ (! [B:trm]: (A != (differential @ B)))) <= (! [B:trm,C:trm]: (A != (times @ B @ C)))))) <= (! [B:char]: (A != (const @ B)))) <= (! [B:real]: (A != (number @ B)))) <= (! [B:variable]: (A != (var @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_325_trm_Oexhaust)). 70.79/19.44 thf(536,plain,((! [A:trm]: (((! [B:char,C:trm]: ~ (A = (func @ B @ C))) => ((! [B:trm,C:trm]: ~ (A = (plus @ B @ C))) => (~ (! [B:trm]: ~ (A = (differential @ B))) | ~ (! [B:trm,C:trm]: ~ (A = (times @ B @ C)))))) | ~ (! [B:char]: ~ (A = (const @ B))) | ~ (! [B:real]: ~ (A = (number @ B))) | ~ (! [B:variable]: ~ (A = (var @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[62])). 70.79/19.44 thf(201,axiom,((! [A:(char > option_trm),B:produc799602994n_game,C:(char > option_trm),D:produc799602994n_game]: (((produc1048060077n_game @ A @ B) = (produc1048060077n_game @ C @ D)) = ((B = D) & (A = C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_224_old_Oprod_Oinject)). 70.79/19.44 thf(1045,plain,((! [A:(char > option_trm),B:produc799602994n_game,C:(char > option_trm),D:produc799602994n_game]: (((produc1048060077n_game @ (A) @ B) = (produc1048060077n_game @ (C) @ D)) = ((B = D) & ((A) = (C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[201])). 70.79/19.44 thf(101,axiom,((! [A:(option_fml > $o),B:option_fml,C:(trm > option_fml),D:option_trm]: ((A @ (case_o325794063ml_trm @ B @ C @ D)) = (~ (((D = (some_trm @ (the_trm @ D))) & ~ (A @ (C @ (the_trm @ D)))) | ((D = none_trm) & ~ (A @ B))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_50_option_Osplit__sel__asm)). 70.79/19.44 thf(667,plain,((! [A:(option_fml > $o),B:option_fml,C:(trm > option_fml),D:option_trm]: ((A @ (case_o325794063ml_trm @ B @ (C) @ D)) = (~ (((D = (some_trm @ (the_trm @ D))) & ~ (A @ (C @ (the_trm @ D)))) | ((D = none_trm) & ~ (A @ B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[101])). 70.79/19.44 thf(251,axiom,((! [A:produc1418842292n_game,B:set_variable,C:trm,D:trm]: (((uSubst516392804stappf @ A @ B @ (geq @ C @ D)) != none_fml) => ((uSubst516392804stappf @ A @ B @ (geq @ C @ D)) = (some_fml @ (geq @ (the_trm @ (uSubst516392818stappt @ A @ B @ C)) @ (the_trm @ (uSubst516392818stappt @ A @ B @ D)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_188_usubstappf__geqr)). 70.79/19.44 thf(1294,plain,((! [A:produc1418842292n_game,B:set_variable,C:trm,D:trm]: ((~ ((uSubst516392804stappf @ A @ B @ (geq @ C @ D)) = none_fml)) => ((uSubst516392804stappf @ A @ B @ (geq @ C @ D)) = (some_fml @ (geq @ (the_trm @ (uSubst516392818stappt @ A @ B @ C)) @ (the_trm @ (uSubst516392818stappt @ A @ B @ D)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[251])). 70.79/19.44 thf(90,axiom,((! [A:produc1418842292n_game,B:set_variable,C:variable]: ((uSubst516392818stappt @ A @ B @ (var @ C)) = (some_trm @ (var @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_313_usubstappt_Osimps_I1_J)). 70.79/19.44 thf(620,plain,((! [A:produc1418842292n_game,B:set_variable,C:variable]: ((uSubst516392818stappt @ A @ B @ (var @ C)) = (some_trm @ (var @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[90])). 70.79/19.44 thf(127,axiom,((produc1903410526on_fml = produc154833544on_fml)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_210_internal__case__prod__def)). 70.79/19.44 thf(752,plain,(((produc1903410526on_fml) = (produc154833544on_fml))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[127])). 70.79/19.44 thf(3,axiom,((! [A:char,B:trm,C:trm,D:trm]: ((func @ A @ B) != (times @ C @ D)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_334_trm_Odistinct_I33_J)). 70.79/19.44 thf(315,plain,((! [A:char,B:trm,C:trm,D:trm]: ~ ((func @ A @ B) = (times @ C @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[3])). 70.79/19.44 thf(181,axiom,((! [A:option_trm,B:option_trm]: (((A = none_trm) = (B = none_trm)) => ((A = B) <= ((((the_trm @ A) = (the_trm @ B)) <= (B != none_trm)) <= (A != none_trm)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_125_option_Oexpand)). 70.79/19.44 thf(967,plain,((! [A:option_trm,B:option_trm]: (((A = none_trm) = (B = none_trm)) => ((A = B) | ~ (((the_trm @ A) = (the_trm @ B)) | (B = none_trm) | (A = none_trm)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[181])). 70.79/19.44 thf(213,axiom,((! [A:produc62062515n_game,B:((char > option_trm) > (produc799602994n_game > $o))]: ((! [C:(char > option_trm),D:produc799602994n_game]: ((A = (produc1048060077n_game @ C @ D)) => (B @ C @ D))) => (produc1868740670game_o @ B @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_235_case__prodI2)). 70.79/19.44 thf(1097,plain,((! [A:produc62062515n_game,B:((char > option_trm) > (produc799602994n_game > $o))]: ((! [C:(char > option_trm),D:produc799602994n_game]: ((A = (produc1048060077n_game @ (C) @ D)) => (B @ (C) @ D))) => (produc1868740670game_o @ (B) @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[213])). 70.79/19.44 thf(139,axiom,((! [A:set_Pr79606376n_game,B:set_Pr79606376n_game]: ((inf_in243546115game_o @ (^ [C:(char > option_fml),D:(char > option_game)]: (member849814089n_game @ (produc123610156n_game @ C @ D) @ A)) @ (^ [C:(char > option_fml),D:(char > option_game)]: (member849814089n_game @ (produc123610156n_game @ C @ D) @ B))) = (^ [C:(char > option_fml),D:(char > option_game)]: (member849814089n_game @ (produc123610156n_game @ C @ D) @ (inf_in1391117306n_game @ A @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_253_inf__Int__eq2)). 70.79/19.44 thf(790,plain,((! [A:set_Pr79606376n_game,B:set_Pr79606376n_game]: ((inf_in243546115game_o @ (^ [C:(char > option_fml),D:(char > option_game)]: (member849814089n_game @ (produc123610156n_game @ C @ D) @ A)) @ (^ [C:(char > option_fml),D:(char > option_game)]: (member849814089n_game @ (produc123610156n_game @ C @ D) @ B))) = (^ [C:(char > option_fml),D:(char > option_game)]: (member849814089n_game @ (produc123610156n_game @ C @ D) @ (inf_in1391117306n_game @ A @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[139])). 70.79/19.44 thf(157,axiom,((! [A:(option_trm > $o),B:option_trm,C:(trm > option_trm),D:option_trm]: ((A @ (case_o487727941rm_trm @ B @ C @ D)) = (((D = (some_trm @ (the_trm @ D))) => (A @ (C @ (the_trm @ D)))) & ((A @ B) <= (D = none_trm)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_142_option_Osplit__sel)). 70.79/19.44 thf(865,plain,((! [A:(option_trm > $o),B:option_trm,C:(trm > option_trm),D:option_trm]: ((A @ (case_o487727941rm_trm @ B @ (C) @ D)) = (((D = (some_trm @ (the_trm @ D))) => (A @ (C @ (the_trm @ D)))) & ((A @ B) | ~ (D = none_trm)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[157])). 70.79/19.44 thf(298,axiom,((case_o209804997ml_fml = (^ [A:option_fml,B:(fml > option_fml),C:option_fml]: (if_option_fml @ (C = none_fml) @ A @ (B @ (the_fml @ C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_136_option_Ocase__eq__if)). 70.79/19.44 thf(1480,plain,(((case_o209804997ml_fml) = (^ [A:option_fml,B:(fml > option_fml),C:option_fml]: (if_option_fml @ (C = none_fml) @ A @ (B @ (the_fml @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[298])). 70.79/19.44 thf(72,axiom,((inf_inf_set_variable = (^ [A:set_variable,B:set_variable]: (inf_inf_set_variable @ B @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_173_Int__commute)). 70.79/19.44 thf(564,plain,(((inf_inf_set_variable) = (^ [A:set_variable,B:set_variable]: (inf_inf_set_variable @ B @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[72])). 70.79/19.44 thf(288,axiom,((! [A:(option_fml > $o),B:option_fml,C:(fml > option_fml),D:option_fml]: ((A @ (case_o209804997ml_fml @ B @ C @ D)) = (~ (((D = none_fml) & ~ (A @ B)) | (~ (A @ (C @ (the_fml @ D))) & (D = (some_fml @ (the_fml @ D))))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_49_option_Osplit__sel__asm)). 70.79/19.44 thf(1436,plain,((! [A:(option_fml > $o),B:option_fml,C:(fml > option_fml),D:option_fml]: ((A @ (case_o209804997ml_fml @ B @ (C) @ D)) = (~ (((D = none_fml) & ~ (A @ B)) | (~ (A @ (C @ (the_fml @ D))) & (D = (some_fml @ (the_fml @ D))))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[288])). 70.79/19.44 thf(6,axiom,((! [A:char,B:char,C:trm]: ((const @ A) != (func @ B @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_291_trm_Odistinct_I23_J)). 70.79/19.44 thf(326,plain,((! [A:char,B:char,C:trm]: ~ ((const @ A) = (func @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[6])). 70.79/19.44 thf(266,axiom,((! [A:produc1418842292n_game,B:char,C:fml,D:set_variable,E:trm]: (((produc1250175341on_fml @ (^ [F:(char > option_trm)]: (produc1615133358on_fml @ (^ [G:(char > option_trm)]: (produc1420172399on_fml @ (^ [H:(char > option_fml),I:(char > option_game)]: (H)))))) @ A @ B) = (some_fml @ C)) => (((inf_inf_set_variable @ (static_FVF @ C) @ D) != bot_bot_set_variable) => ((uSubst516392804stappf @ A @ D @ (pred @ B @ E)) = none_fml))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_32_usubstappf__pred2)). 70.79/19.44 thf(1363,plain,((! [A:produc1418842292n_game,B:char,C:fml,D:set_variable,E:trm]: (((produc1250175341on_fml @ (^ [F:(char > option_trm)]: (produc1615133358on_fml @ (^ [G:(char > option_trm)]: (produc1420172399on_fml @ (^ [H:(char > option_fml),I:(char > option_game)]: (H)))))) @ A @ B) = (some_fml @ C)) => ((~ ((inf_inf_set_variable @ (static_FVF @ C) @ D) = bot_bot_set_variable)) => ((uSubst516392804stappf @ A @ D @ (pred @ B @ E)) = none_fml))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[266])). 70.79/19.44 thf(10,axiom,((! [A:char,B:trm,C:trm,D:trm]: ((func @ A @ B) != (plus @ C @ D)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_333_trm_Odistinct_I31_J)). 70.79/19.44 thf(341,plain,((! [A:char,B:trm,C:trm,D:trm]: ~ ((func @ A @ B) = (plus @ C @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[10])). 70.79/19.44 thf(259,axiom,((! [A:option_trm]: ((uSubst152838031e_Geqo @ none_trm @ A) = none_fml))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_198_Geqo_Osimps_I2_J)). 70.79/19.44 thf(1335,plain,((! [A:option_trm]: ((uSubst152838031e_Geqo @ none_trm @ A) = none_fml))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[259])). 70.79/19.44 thf(24,axiom,((! [A:set_variable]: ((? [B:variable]: (member_variable @ B @ A)) = (A != bot_bot_set_variable)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_166_ex__in__conv)). 70.79/19.44 thf(400,plain,((! [A:set_variable]: ((? [B:variable]: (member_variable @ B @ A)) = (~ (A = bot_bot_set_variable))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[24])). 70.79/19.44 thf(151,axiom,((! [A:set_variable]: ((inf_inf_set_variable @ A @ bot_bot_set_variable) = bot_bot_set_variable))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_48_inf__bot__right)). 70.79/19.44 thf(828,plain,((! [A:set_variable]: ((inf_inf_set_variable @ A @ bot_bot_set_variable) = bot_bot_set_variable))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[151])). 70.79/19.44 thf(177,axiom,((! [A:set_Pr720454634n_game,B:set_Pr720454634n_game]: (((^ [C:(char > option_trm),D:produc62062515n_game]: (member1940201675n_game @ (produc1618635950n_game @ C @ D) @ A)) = (^ [C:(char > option_trm),D:produc62062515n_game]: (member1940201675n_game @ (produc1618635950n_game @ C @ D) @ B))) = (A = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_261_pred__equals__eq2)). 70.79/19.44 thf(955,plain,((! [A:set_Pr720454634n_game,B:set_Pr720454634n_game]: (((^ [C:(char > option_trm),D:produc62062515n_game]: (member1940201675n_game @ (produc1618635950n_game @ C @ D) @ A)) = (^ [C:(char > option_trm),D:produc62062515n_game]: (member1940201675n_game @ (produc1618635950n_game @ C @ D) @ B))) = (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[177])). 70.79/19.44 thf(141,axiom,((! [A:(option_fml > $o),B:option_fml,C:(trm > option_fml),D:option_trm]: ((A @ (case_o325794063ml_trm @ B @ C @ D)) = (((A @ (C @ (the_trm @ D))) <= (D = (some_trm @ (the_trm @ D)))) & ((D = none_trm) => (A @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_141_option_Osplit__sel)). 70.79/19.44 thf(796,plain,((! [A:(option_fml > $o),B:option_fml,C:(trm > option_fml),D:option_trm]: ((A @ (case_o325794063ml_trm @ B @ (C) @ D)) = (((A @ (C @ (the_trm @ D))) | ~ (D = (some_trm @ (the_trm @ D)))) & ((D = none_trm) => (A @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[141])). 70.79/19.44 thf(47,axiom,((! [A:trm,B:trm]: (((differential @ A) = (differential @ B)) = (A = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_318_trm_Oinject_I7_J)). 70.79/19.44 thf(474,plain,((! [A:trm,B:trm]: (((differential @ A) = (differential @ B)) = (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[47])). 70.79/19.44 thf(279,axiom,(((uSubst516392818stappt @ sigma @ ua @ theta) = (uSubst516392818stappt @ sigma @ va @ theta))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_27_f5)). 70.79/19.44 thf(1410,plain,(((uSubst516392818stappt @ sigma @ ua @ theta) = (uSubst516392818stappt @ sigma @ va @ theta))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[279])). 70.79/19.44 thf(163,axiom,((! [A:option_game]: ((A = (some_game @ (the_game @ A))) <= (A != none_game)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_135_option_Oexhaust__sel)). 70.79/19.44 thf(886,plain,((! [A:option_game]: ((A = (some_game @ (the_game @ A))) | (A = none_game)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[163])). 70.79/19.44 thf(29,axiom,((! [A:char,B:trm,C:trm]: ((const @ A) != (times @ B @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_328_trm_Odistinct_I27_J)). 70.79/19.44 thf(415,plain,((! [A:char,B:trm,C:trm]: ~ ((const @ A) = (times @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[29])). 70.79/19.44 thf(120,axiom,((! [A:((char > option_trm) > (produc62062515n_game > option_fml)),B:(char > option_trm),C:produc62062515n_game]: ((produc1499310791on_fml @ A @ (produc1618635950n_game @ B @ C)) = (A @ B @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_246_case__prod__conv)). 70.79/19.44 thf(728,plain,((! [A:((char > option_trm) > (produc62062515n_game > option_fml)),B:(char > option_trm),C:produc62062515n_game]: ((produc1499310791on_fml @ (A) @ (produc1618635950n_game @ (B) @ C)) = (A @ (B) @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[120])). 70.79/19.44 thf(245,axiom,((! [A:fml]: (none_fml != (some_fml @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_94_option_Odistinct_I1_J)). 70.79/19.44 thf(1236,plain,((! [A:fml]: ~ (none_fml = (some_fml @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[245])). 70.79/19.44 thf(223,axiom,((! [A:option_trm,B:option_trm]: ((if_option_trm @ $true @ A @ B) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_1_1_If_001t__Option__Ooption_It__Syntax__Otrm_J_T)). 70.79/19.44 thf(1129,plain,((! [A:option_trm,B:option_trm]: ((if_option_trm @ $true @ A @ B) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[223])). 70.79/19.44 thf(312,axiom,((! [A:option_fml]: ((A != none_fml) => ((some_fml @ (the_fml @ A)) = A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_37_option_Ocollapse)). 70.79/19.44 thf(1537,plain,((! [A:option_fml]: ((~ (A = none_fml)) => ((some_fml @ (the_fml @ A)) = A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[312])). 70.79/19.44 thf(82,axiom,((! [A:((char > option_fml) > ((char > option_game) > option_fml)),B:(char > option_fml),C:(char > option_game)]: ((produc347802313on_fml @ A @ (produc123610156n_game @ B @ C)) = (A @ B @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_242_case__prod__conv)). 70.79/19.44 thf(596,plain,((! [A:((char > option_fml) > ((char > option_game) > option_fml)),B:(char > option_fml),C:(char > option_game)]: ((produc347802313on_fml @ (A) @ (produc123610156n_game @ (B) @ (C))) = (A @ (B) @ (C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[82])). 70.79/19.44 thf(42,axiom,((! [A:(option_trm > option_trm),B:option_trm,C:(trm > option_trm),D:option_trm]: ((A @ (case_o487727941rm_trm @ B @ C @ D)) = (case_o487727941rm_trm @ (A @ B) @ (^ [E:trm]: (A @ (C @ E))) @ D)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_93_option_Ocase__distrib)). 70.79/19.44 thf(459,plain,((! [A:(option_trm > option_trm),B:option_trm,C:(trm > option_trm),D:option_trm]: ((A @ (case_o487727941rm_trm @ B @ (C) @ D)) = (case_o487727941rm_trm @ (A @ B) @ (^ [E:trm]: (A @ (C @ E))) @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[42])). 70.79/19.44 thf(149,axiom,((! [A:set_Pr720454634n_game,B:set_Pr720454634n_game]: ((inf_in1920662529game_o @ (^ [C:(char > option_trm),D:produc62062515n_game]: (member1940201675n_game @ (produc1618635950n_game @ C @ D) @ A)) @ (^ [C:(char > option_trm),D:produc62062515n_game]: (member1940201675n_game @ (produc1618635950n_game @ C @ D) @ B))) = (^ [C:(char > option_trm),D:produc62062515n_game]: (member1940201675n_game @ (produc1618635950n_game @ C @ D) @ (inf_in360367996n_game @ A @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_251_inf__Int__eq2)). 70.79/19.44 thf(822,plain,((! [A:set_Pr720454634n_game,B:set_Pr720454634n_game]: ((inf_in1920662529game_o @ (^ [C:(char > option_trm),D:produc62062515n_game]: (member1940201675n_game @ (produc1618635950n_game @ C @ D) @ A)) @ (^ [C:(char > option_trm),D:produc62062515n_game]: (member1940201675n_game @ (produc1618635950n_game @ C @ D) @ B))) = (^ [C:(char > option_trm),D:produc62062515n_game]: (member1940201675n_game @ (produc1618635950n_game @ C @ D) @ (inf_in360367996n_game @ A @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[149])). 70.79/19.44 thf(286,axiom,((produc1420172399on_fml = (^ [A:((char > option_fml) > ((char > option_game) > (char > option_fml))),B:produc799602994n_game,C:char]: (produc347802313on_fml @ (^ [D:(char > option_fml),E:(char > option_game)]: (A @ D @ E @ C)) @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_case__prod__app)). 70.79/19.44 thf(1431,plain,(((produc1420172399on_fml) = (^ [A:((char > option_fml) > ((char > option_game) > (char > option_fml))),B:produc799602994n_game,C:char]: (produc347802313on_fml @ (^ [D:(char > option_fml),E:(char > option_game)]: (A @ D @ E @ C)) @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[286])). 70.79/19.44 thf(275,axiom,((! [A:option_fml]: ((A = none_fml) = (case_option_o_fml @ $true @ (^ [B:fml]: ($false)) @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_67_option_Odisc__eq__case_I1_J)). 70.79/19.44 thf(1399,plain,((! [A:option_fml]: ((A = none_fml) = (case_option_o_fml @ $true @ (^ [B:fml]: ($false)) @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[275])). 70.79/19.44 thf(220,axiom,((! [A:produc1016592119n_game]: ((! [B:game,C:game]: (A != (produc1111617711n_game @ (some_game @ B) @ (some_game @ C)))) => ((! [B:option_game]: (A != (produc1111617711n_game @ B @ none_game))) => (~ (! [B:game]: (A != (produc1111617711n_game @ none_game @ (some_game @ B))))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_298_Composeo_Ocases)). 70.79/19.44 thf(1120,plain,((! [A:produc1016592119n_game]: ((! [B:game,C:game]: ~ (A = (produc1111617711n_game @ (some_game @ B) @ (some_game @ C)))) => ((! [B:option_game]: ~ (A = (produc1111617711n_game @ B @ none_game))) => (~ (! [B:game]: ~ (A = (produc1111617711n_game @ none_game @ (some_game @ B))))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[220])). 70.79/19.44 thf(18,axiom,((! [A:produc1418842292n_game,B:set_variable,C:trm,D:trm]: ((uSubst516392818stappt @ A @ B @ (plus @ C @ D)) = (uSubst141955042_Pluso @ (uSubst516392818stappt @ A @ B @ C) @ (uSubst516392818stappt @ A @ B @ D))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_351_usubstappt_Osimps_I5_J)). 70.79/19.44 thf(369,plain,((! [A:produc1418842292n_game,B:set_variable,C:trm,D:trm]: ((uSubst516392818stappt @ A @ B @ (plus @ C @ D)) = (uSubst141955042_Pluso @ (uSubst516392818stappt @ A @ B @ C) @ (uSubst516392818stappt @ A @ B @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[18])). 70.79/19.44 thf(212,axiom,((! [A:produc1072747943on_trm]: (((! [B:option_trm]: (A != (produc709594775on_trm @ none_trm @ B))) => (~ (! [B:trm]: (A != (produc709594775on_trm @ (some_trm @ B) @ none_trm))))) <= (! [B:trm,C:trm]: (A != (produc709594775on_trm @ (some_trm @ B) @ (some_trm @ C))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_295_Timeso_Ocases)). 70.79/19.44 thf(1093,plain,((! [A:produc1072747943on_trm]: (((! [B:option_trm]: ~ (A = (produc709594775on_trm @ none_trm @ B))) => (~ (! [B:trm]: ~ (A = (produc709594775on_trm @ (some_trm @ B) @ none_trm))))) | ~ (! [B:trm,C:trm]: ~ (A = (produc709594775on_trm @ (some_trm @ B) @ (some_trm @ C))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[212])). 70.79/19.44 thf(23,axiom,((! [A:set_variable,B:variable]: ((A = bot_bot_set_variable) => (~ (member_variable @ B @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_164_equals0D)). 70.79/19.44 thf(395,plain,((! [A:set_variable,B:variable]: ((A = bot_bot_set_variable) => (~ (member_variable @ B @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[23])). 70.79/19.44 thf(166,axiom,((! [A:option_game,B:game]: ((A != none_game) <= (A = (some_game @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_99_option_OdiscI)). 70.79/19.44 thf(908,plain,((! [A:option_game,B:game]: (~ (A = none_game) | ~ (A = (some_game @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[166])). 70.79/19.44 thf(188,axiom,((! [A:set_variable,B:set_variable,C:set_variable]: ((inf_inf_set_variable @ (inf_inf_set_variable @ A @ B) @ C) = (inf_inf_set_variable @ A @ (inf_inf_set_variable @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_86_inf__sup__aci_I2_J)). 70.79/19.44 thf(992,plain,((! [A:set_variable,B:set_variable,C:set_variable]: ((inf_inf_set_variable @ (inf_inf_set_variable @ A @ B) @ C) = (inf_inf_set_variable @ A @ (inf_inf_set_variable @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[188])). 70.79/19.44 thf(9,axiom,((! [A:char,B:trm,C:trm]: ((func @ A @ B) != (differential @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_335_trm_Odistinct_I35_J)). 70.79/19.44 thf(337,plain,((! [A:char,B:trm,C:trm]: ~ ((func @ A @ B) = (differential @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[9])). 70.79/19.44 thf(267,axiom,((! [A:((char > option_trm) > (produc62062515n_game > (char > option_fml))),B:(produc1418842292n_game > (char > option_fml))]: ((! [C:(char > option_trm),D:produc62062515n_game]: ((A @ C @ D) = (B @ (produc1618635950n_game @ C @ D)))) => ((produc1250175341on_fml @ A) = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_264_cond__case__prod__eta)). 70.79/19.44 thf(1367,plain,((! [A:((char > option_trm) > (produc62062515n_game > (char > option_fml))),B:(produc1418842292n_game > (char > option_fml))]: ((! [C:(char > option_trm),D:produc62062515n_game]: ((A @ C @ D) = (B @ (produc1618635950n_game @ C @ D)))) => ((produc1250175341on_fml @ (A)) = (B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[267])). 70.79/19.44 thf(175,axiom,((! [A:$o,B:(fml > $o),C:option_fml,D:(option_fml > $o),E:option_fml,F:(fml > option_fml)]: ((((! [G:fml]: ((B @ G) => (D @ (F @ G)))) => (D @ (case_o209804997ml_fml @ E @ F @ C))) <= ((D @ E) <= (A))) <= (case_option_o_fml @ A @ B @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_185_disjE__realizer2)). 70.79/19.44 thf(935,plain,((! [A:$o,B:(fml > $o),C:option_fml,D:(option_fml > $o),E:option_fml,F:(fml > option_fml)]: (((! [G:fml]: ((B @ G) => (D @ (F @ G)))) => (D @ (case_o209804997ml_fml @ E @ (F) @ C))) | ~ ((D @ E) | ~ (A)) | ~ (case_option_o_fml @ A @ (B) @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[175])). 70.79/19.44 thf(171,axiom,((! [A:set_variable]: ((inf_inf_set_variable @ A @ A) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_172_Int__absorb)). 70.79/19.44 thf(923,plain,((! [A:set_variable]: ((inf_inf_set_variable @ A @ A) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[171])). 70.79/19.44 thf(64,axiom,((! [A:((char > option_fml) > ((char > option_game) > option_trm)),B:(char > option_fml),C:(char > option_game)]: ((produc885547027on_trm @ A @ (produc123610156n_game @ B @ C)) = (A @ B @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_243_case__prod__conv)). 70.79/19.44 thf(543,plain,((! [A:((char > option_fml) > ((char > option_game) > option_trm)),B:(char > option_fml),C:(char > option_game)]: ((produc885547027on_trm @ (A) @ (produc123610156n_game @ (B) @ (C))) = (A @ (B) @ (C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[64])). 70.79/19.44 thf(70,axiom,((! [A:((char > option_trm) > (produc62062515n_game > $o)),B:(char > option_trm),C:produc62062515n_game]: ((A @ B @ C) => (produc1707653117game_o @ A @ (produc1618635950n_game @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_229_case__prodI)). 70.79/19.44 thf(560,plain,((! [A:((char > option_trm) > (produc62062515n_game > $o)),B:(char > option_trm),C:produc62062515n_game]: ((A @ (B) @ C) => (produc1707653117game_o @ (A) @ (produc1618635950n_game @ (B) @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[70])). 70.79/19.44 thf(281,axiom,((! [A:(produc62062515n_game > (char > option_fml))]: ((produc1615133358on_fml @ (^ [B:(char > option_trm),C:produc799602994n_game]: (A @ (produc1048060077n_game @ B @ C)))) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_276_case__prod__eta)). 70.79/19.44 thf(1416,plain,((! [A:(produc62062515n_game > (char > option_fml))]: ((produc1615133358on_fml @ (^ [B:(char > option_trm),C:produc799602994n_game]: (A @ (produc1048060077n_game @ B @ C)))) = (A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[281])). 70.79/19.44 thf(96,axiom,((! [A:option_trm,B:option_trm]: (((uSubst918876924Timeso @ A @ B) = none_trm) = ((B = none_trm) | (A = none_trm))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_348_Timeso__undef)). 70.79/19.44 thf(639,plain,((! [A:option_trm,B:option_trm]: (((uSubst918876924Timeso @ A @ B) = none_trm) = ((B = none_trm) | (A = none_trm))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[96])). 70.79/19.44 thf(104,axiom,((! [A:trm]: ((uSubst141955042_Pluso @ (some_trm @ A) @ none_trm) = none_trm))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_349_Pluso_Osimps_I3_J)). 70.79/19.44 thf(676,plain,((! [A:trm]: ((uSubst141955042_Pluso @ (some_trm @ A) @ none_trm) = none_trm))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[104])). 70.79/19.44 thf(211,axiom,((! [A:set_variable,B:set_variable,C:set_variable,D:set_variable]: ((A = (inf_inf_set_variable @ B @ C)) => ((inf_inf_set_variable @ D @ A) = (inf_inf_set_variable @ B @ (inf_inf_set_variable @ D @ C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_83_boolean__algebra__cancel_Oinf2)). 70.79/19.44 thf(1088,plain,((! [A:set_variable,B:set_variable,C:set_variable,D:set_variable]: ((A = (inf_inf_set_variable @ B @ C)) => ((inf_inf_set_variable @ D @ A) = (inf_inf_set_variable @ B @ (inf_inf_set_variable @ D @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[211])). 70.79/19.44 thf(295,axiom,((! [A:(option_fml > $o),B:option_fml]: (((! [C:fml]: (A @ (some_fml @ C))) => (A @ B)) <= (A @ none_fml)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_103_option_Oinducts)). 70.79/19.44 thf(1468,plain,((! [A:(option_fml > $o),B:option_fml]: (((! [C:fml]: (A @ (some_fml @ C))) => (A @ B)) | ~ (A @ none_fml)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[295])). 70.79/19.44 thf(209,axiom,((! [A:option_trm,B:(option_trm > (option_game > $o)),C:option_game]: ((((B @ A @ C) <= (C = none_game)) => ((B @ A @ C) <= (! [D:trm,E:game]: ((A = (some_trm @ D)) => ((C = (some_game @ E)) => (B @ A @ C)))))) <= ((A = none_trm) => (B @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_117_combine__options__cases)). 70.79/19.44 thf(1069,plain,((! [A:option_trm,B:(option_trm > (option_game > $o)),C:option_game]: ((((B @ A @ C) | ~ (C = none_game)) => ((B @ A @ C) | ~ (! [D:trm,E:game]: ((A = (some_trm @ D)) => ((C = (some_game @ E)) => (B @ A @ C)))))) | ~ ((A = none_trm) => (B @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[209])). 70.79/19.44 thf(193,axiom,((! [A:option_game]: ((A = none_game) = (case_option_o_game @ $true @ (^ [B:game]: ($false)) @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_69_option_Odisc__eq__case_I1_J)). 70.79/19.44 thf(1014,plain,((! [A:option_game]: ((A = none_game) = (case_option_o_game @ $true @ (^ [B:game]: ($false)) @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[193])). 70.79/19.44 thf(239,axiom,((! [A:((char > option_fml) > ((char > option_game) > (char > option_fml))),B:(produc799602994n_game > (char > option_fml))]: ((! [C:(char > option_fml),D:(char > option_game)]: ((A @ C @ D) = (B @ (produc123610156n_game @ C @ D)))) => ((produc1420172399on_fml @ A) = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_268_cond__case__prod__eta)). 70.79/19.44 thf(1204,plain,((! [A:((char > option_fml) > ((char > option_game) > (char > option_fml))),B:(produc799602994n_game > (char > option_fml))]: ((! [C:(char > option_fml),D:(char > option_game)]: ((A @ C @ D) = (B @ (produc123610156n_game @ C @ D)))) => ((produc1420172399on_fml @ (A)) = (B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[239])). 70.79/19.44 thf(292,axiom,((! [A:$o,B:(fml > $o),C:option_fml]: ((case_option_o_fml @ A @ B @ C) => (((C = none_fml) => (~ (A))) => (~ (! [D:fml]: ((C = (some_fml @ D)) => (~ (B @ D))))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_74_case__optionE)). 70.79/19.44 thf(1449,plain,((! [A:$o,B:(fml > $o),C:option_fml]: ((case_option_o_fml @ A @ (B) @ C) => (((C = none_fml) => (~ (A))) => (~ (! [D:fml]: ((C = (some_fml @ D)) => (~ (B @ D))))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[292])). 70.79/19.44 thf(2122,plain,($false),inference(e,[status(thm)],[645,629,1024,365,760,846,1315,468,555,1110,352,333,1031,1005,1522,1422,449,614,582,762,550,698,913,1063,670,1310,533,1001,1391,782,1359,1529,1482,1243,1127,570,719,372,1330,802,1511,917,1059,1132,817,1514,421,1347,1489,591,376,623,1151,1383,806,1051,480,602,692,734,774,1394,998,1433,1405,428,527,411,988,1104,849,452,920,439,661,1338,714,1057,546,793,1223,746,1021,952,1519,349,1174,424,1370,815,825,1343,566,625,879,889,493,1027,757,710,456,852,435,1402,742,725,1425,388,1534,1017,980,403,471,1160,1461,642,1207,679,1419,985,701,1249,1297,1266,1246,779,605,1086,1167,530,1185,926,765,1054,906,513,573,689,1154,819,562,1389,843,875,579,958,1124,1226,1428,391,445,313,1312,611,713,1107,1332,704,1464,1356,540,1194,406,831,1408,1117,419,1048,990,362,737,1043,599,1439,477,345,323,799,483,520,1029,1177,330,1149,964,462,932,1171,983,1396,1474,883,608,1113,1477,431,1213,768,636,695,1066,1445,868,490,1166,548,749,617,355,754,648,487,812,1509,776,557,1516,872,707,1531,409,1484,673,1188,441,585,717,1317,576,359,1220,1506,1240,465,1180,1157,976,524,1412,771,588,517,319,1341,1101,632,731,995,961,1385,914,510,929,684,1442,536,1045,667,1294,620,752,315,967,1097,790,865,1480,564,1436,326,1363,341,1335,400,828,955,796,474,1410,886,415,728,1236,1129,1537,596,459,822,1431,1399,1120,369,1093,395,908,992,337,1367,935,923,543,560,1416,639,676,1088,1468,1069,1014,1204,1449])). 70.79/19.44 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 70.79/19.44 % [INFO] Killing All external provers ... 70.79/19.44 FINAL WATCH: 63.9 CPU 18.4 WC 70.79/19.44 Killed 1 orphans 70.79/19.44 EOF