0.00/0.00	% Leo-III: Strategy 1 (for '60')
64.30/22.36	% [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
64.30/22.36	% [INFO] 	 Parsing done (239ms). 
64.30/22.36	% [INFO] 	 Running in sequential loop mode. 
64.30/22.36	% [CONFIG] 	 Using configuration: timeout(60) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(10),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)> 
64.30/22.36	% [INFO] 	 eprover registered as external prover. 
64.30/22.36	% [INFO] 	 cvc4 registered as external prover. 
64.30/22.36	% [INFO] 	 Parsing finished. Scanning for conjecture ... 
64.30/22.36	% [INFO] 	 Found a conjecture and 352 axioms. Running axiom selection ... 
64.30/22.36	% [INFO] 	 Axiom selection finished. Selected 334 axioms (removed 18 axioms). 
64.30/22.36	% [INFO] 	 Problem is higher-order (TPTP THF). 
64.30/22.36	% [INFO] 	 Type checking passed. Searching for refutation ... 
64.30/22.36	% External prover 'cvc4' found a proof!
64.30/22.36	% [INFO] 	 Killing All external provers ... 
64.30/22.36	% Time passed: 17617ms (effective reasoning time: 17027ms)
64.30/22.36	% Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(10),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
64.30/22.36	% Axioms used in derivation (334): fact_339_residual_Orec__fin__supp, fact_59_pi_Oinject_I7_J, fact_255_exists__fresh, fact_166_mismatchCases, fact_332_residual_Orec__unique, fact_180_abs__fun__eq1, fact_217_pi_Odistinct_I1_J, fact_91_parCasesB_H, fact_289_fresh__def, fact_306_residual_Orecs_I2_J, fact_55_forget, fact_221_nilCases_H, fact_293_subject_Osupp_I2_J, fact_79_freeRes_Oexhaust, fact_46_freshBoundDerivative_I2_J, fact_133_pi_Oinject_I3_J, fact_167_matchCases_H, fact_120_Tau, fact_26_transitions_OClose2, fact_71_freeRes_Ofresh_I1_J, fact_69_subject_Oexhaust, fact_311_residual_Orecs_I1_J, fact_131_pi_Ofresh_I9_J, fact_60_freshFreeDerivative_I2_J, fact_310_residual_Orecs_I1_J, fact_125_residual_Ofresh_I1_J, fact_152_resInputFreeTrans, fact_132_pi_Ofresh_I4_J, fact_203_pi_Odistinct_I33_J, fact_107_pi_Odistinct_I43_J, fact_146_pi_Odistinct_I57_J, fact_130_simps_I4_J, fact_102_pi_Odistinct_I19_J, fact_169_matchCases, fact_272_supp__fresh__iff, fact_34_name__exists__fresh, fact_57_Late__Semantics_OPar2B, fact_43_residual_Ostrong__induct, fact_162_Mismatch, fact_305_residual_Orecs_I2_J, fact_25_transitions_OClose1, fact_220_pi_Odistinct_I13_J, fact_270_exists__fresh_H, fact_80_Late__Semantics_OfreeRes_Odistinct_I1_J, fact_135_pi_Oinject_I8_J, fact_119_tauOutputTrans, fact_218_pi_Odistinct_I5_J, fact_185_pi_Ostrong__inducts, fact_313_residual_Orecs_I1_J, fact_13__092_060open_062P_A_092_060parallel_062_AQ_A_092_060longmapsto_062_Aa_060_092_060nu_062y_062_A_092_060prec_062_AP_A_092_060parallel_062_AQ_H_092_060close_062, fact_122_tauCases, fact_98_name__fresh, fact_214_pi_Oinject_I6_J, fact_96_resOutputTauTrans, fact_140_name__fresh__abs, fact_338_residual_Orec__fin__supp, fact_243_abs__fresh_I2_J, fact_308_residual_Orecs_I2_J, fact_42_residual_Ostrong__induct, fact_15_cPar2_Ohyps, fact_154_Late__Semantics_OInput, fact_11_cClose2_Ohyps_I11_J, fact_170_pi_Odistinct_I65_J, fact_343_residual_Osupp_I1_J, fact_93_transitions_OPar2B, fact_347_freeRes_Osupp_I1_J, fact_265_exists__fresh_H, fact_328_residual_Orec__unique, fact_280_supp__fresh__iff, fact_121_tauCases_H, fact_202_pi_Odistinct_I89_J, fact_195_pi_Ofresh_I1_J, fact_54_Collect__cong, fact_241_abs__fresh_I2_J, fact_73_Late__Semantics1_OfreeRes_Oinject, fact_33_name__exists__fresh, fact_94_transitions_OResB, fact_123_resOutputOutputTrans, fact_22_pi_Odistinct_I85_J, fact_126_simps_I3_J, fact_236_bangPred_Ocases, fact_14_cClose2_Ohyps_I1_J, fact_90_resCasesB_H, fact_300_residual_Orecs_I2_J, fact_337_residual_Orec__fin__supp, fact_321_residual_Orec__fresh, fact_29_Late__Semantics_Osubject_Oinject_I2_J, fact_161_pi_Oinject_I5_J, fact_95_resTauOutputTrans, fact_6_cClose2_Ohyps_I3_J, fact_103_pi_Oinject_I1_J, fact_235_aux2, fact_226_pi_Odistinct_I71_J, fact_192_pi_Ostrong__induct, fact_32_Late__Semantics_Osubject_Odistinct_I1_J, fact_12_cClose2_Ohyps_I2_J, fact_142_abs__fresh_I1_J, fact_264_exists__fresh_H, fact_62_transitions_OComm2, fact_193_pi_Ofresh_I10_J, fact_335_residual_Orec__unique, fact_89_freshBoundDerivative_I1_J, fact_231_Bang, fact_197_simps_I7_J, fact_274_supp__fresh__iff, fact_141_abs__fresh_I1_J, fact_198_simps_I1_J, fact_151_inputFreeTrans, fact_325_residual_Orec__fresh, fact_86_ResF, fact_37_subject_Oinducts, fact_47_freshRes, fact_40_residual_Ostrong__inducts, fact_134_subst__name__def, fact_39_residual_Ostrong__inducts, fact_70_Open, fact_81_freeRes_Oinducts, fact_285_fresh__def, fact_211_pi_Odistinct_I11_J, fact_177_pi_Odistinct_I25_J, fact_213_pi_Odistinct_I83_J, fact_186_pi_Ostrong__inducts, fact_148_pi_Odistinct_I35_J, fact_263_exists__fresh_H, fact_53_Collect__mem__eq, fact_298_fs__name1, fact_159_pi_Odistinct_I61_J, fact_348_pi_Osupp_I2_J, fact_85_resCasesF_H, fact_97_resOutputInputTrans, fact_74_freeRes_Ofresh_I2_J, fact_341_residual_Orec__fin__supp, fact_222_zeroTrans, fact_210_pi_Odistinct_I81_J, fact_250_abs__fresh_I2_J, fact_303_residual_Orecs_I2_J, fact_168_matchTrans, fact_82_resCases_H, fact_127_inputIneqTrans, fact_100_simps_I2_J, fact_30_pi_Ofresh_I8_J, fact_182_abs__fun__eq1, fact_172_pi_Odistinct_I67_J, fact_238_aux1, fact_153_inputBoundOutputTrans, fact_187_pi_Ostrong__inducts, fact_262_exists__fresh_H, fact_223_pi_Odistinct_I41_J, fact_227_pi_Odistinct_I69_J, fact_196_simps_I10_J, fact_302_residual_Orecs_I2_J, fact_48_residual_Oinducts, fact_108_pi_Odistinct_I45_J, fact_342_pi_Osupp_I4_J, fact_45_residual_Ostrong__induct, fact_104_pi_Oinject_I2_J, fact_88_freshFreeDerivative_I1_J, fact_143_abs__fresh_I1_J, fact_284_fresh__def, fact_124_resInputBoundOutputTrans, fact_178_pi_Odistinct_I37_J, fact_340_residual_Orec__fin__supp, fact_219_pi_Odistinct_I15_J, fact_2_cClose2_Ohyps_I5_J, fact_115_outputIneqTrans, fact_129_substInput, fact_252_exists__fresh, fact_21_subst__identity, fact_309_residual_Orecs_I2_J, fact_72_Late__Semantics_OfreeRes_Oinject, fact_179_pi_Odistinct_I39_J, fact_212_pi_Odistinct_I17_J, fact_175_pi_Odistinct_I51_J, fact_171_pi_Odistinct_I73_J, fact_230_pi_Odistinct_I7_J, fact_114_Output, fact_7_cClose2_Ohyps_I13_J, fact_269_exists__fresh_H, fact_316_residual_Orecs_I1_J, fact_56_parCasesB, fact_147_pi_Odistinct_I21_J, fact_68_Late__Semantics1_Osubject_Odistinct_I1_J, fact_58_Late__Semantics_OPar1B, fact_200_pi_Odistinct_I53_J, fact_273_supp__fresh__iff, fact_336_residual_Orec__unique, fact_78_Late__Semantics1_OfreeRes_Odistinct_I1_J, fact_101_pi_Ofresh_I2_J, fact_116_outputCases_H, fact_117_outputCases, fact_240_subs__def, fact_319_residual_Orecs_I1_J, fact_150_resTrans_I2_J, fact_183_abs__fun__eq1, fact_322_residual_Orec__fresh, fact_61_residual_Oinject_I2_J, fact_157_pi_Ofresh_I5_J, fact_190_pi_Ostrong__induct, fact_176_pi_Odistinct_I23_J, fact_105_pi_Odistinct_I29_J, fact_315_residual_Orecs_I1_J, fact_232_bangCases, fact_225_pi_Odistinct_I77_J, fact_28_substRes3, fact_208_pi_Odistinct_I47_J, fact_10_cClose2_Ohyps_I7_J, fact_137_name__fresh__abs, fact_173_pi_Odistinct_I75_J, fact_271_supp__fresh__iff, fact_260_exists__fresh, fact_92_transitions_OPar1B, fact_317_residual_Orecs_I1_J, fact_205_sumCases_H, fact_66_Late__Semantics_OComm2, fact_295_pi_Osupp_I10_J, fact_110_outputBoundTrans, fact_1_cClose2_Ohyps_I10_J, fact_63_transitions_OComm1, fact_327_residual_Orec__unique, fact_209_pi_Odistinct_I79_J, fact_35_name__exists__fresh, fact_333_residual_Orec__unique, fact_237_bangPred_Osimps, fact_164_mismatchCases_H, fact_111_outputFreshTrans, fact_24_Late__Semantics_OClose2, fact_282_fresh__def, fact_326_residual_Orec__fresh, fact_139_name__fresh__abs, fact_291_pi_Osupp_I9_J, fact_163_Match, fact_138_name__fresh__abs, fact_290_fresh__def, fact_99_pi_Ofresh_I3_J, fact_65_Late__Semantics1_Osubject_Oinject_I2_J, fact_239_bangPred_Oinducts, fact_44_residual_Ostrong__induct, fact_145_pi_Odistinct_I55_J, fact_229_pi_Odistinct_I9_J, fact_334_residual_Orec__unique, fact_194_pi_Ofresh_I7_J, fact_50_fresh__fact2, fact_23_Late__Semantics_OClose1, fact_4_cClose2_Ohyps_I6_J, fact_49_residual_Odistinct_I1_J, fact_281_fresh__def, fact_181_abs__fun__eq1, fact_224_pi_Odistinct_I27_J, fact_233_resZeroTrans, fact_234_pi_Oinducts, fact_106_pi_Odistinct_I31_J, fact_199_pi_Odistinct_I59_J, fact_275_supp__fresh__iff, fact_279_supp__fresh__iff, fact_109_resTrans_I1_J, fact_206_Sum1, fact_184_abs__fun__eq1, fact_38_residual_Ostrong__inducts, fact_318_residual_Orecs_I1_J, fact_344_pi_Osupp_I7_J, fact_51_fresh__fact1, fact_294_subject_Osupp_I1_J, fact_207_Sum2, fact_128_transitions_OInput, fact_155_simps_I5_J, fact_113_resTauBoundTrans, fact_253_exists__fresh, fact_249_abs__fresh_I2_J, fact_216_pi_Odistinct_I3_J, fact_251_exists__fresh, fact_314_residual_Orecs_I1_J, fact_3_cClose2_Ohyps_I9_J, fact_261_exists__fresh_H, fact_244_abs__fresh_I2_J, fact_191_pi_Ostrong__induct, fact_64_Late__Semantics1_Osubject_Oinject_I1_J, fact_41_residual_Ostrong__inducts, fact_245_abs__fresh_I2_J, fact_323_residual_Orec__fresh, fact_297_fs__name1, fact_27_substRes2, fact_83_freshResidual, fact_312_residual_Orecs_I1_J, fact_76_subject_Ofresh_I2_J, fact_330_residual_Orec__unique, fact_87_Late__Semantics_OResB, fact_9_cClose2_Ohyps_I4_J, fact_307_residual_Orecs_I2_J, fact_189_pi_Ostrong__induct, fact_301_residual_Orecs_I2_J, fact_8_cClose2_Ohyps_I12_J, fact_160_pi_Oinject_I4_J, fact_331_residual_Orec__unique, fact_296_fs__name1, fact_320_residual_Orec__fresh, fact_324_residual_Orec__fresh, fact_228_pi_Odistinct_I63_J, fact_346_residual_Osupp_I2_J, fact_36_name__exists__fresh, fact_0_cClose2_Ohyps_I14_J, fact_84_resCasesF, fact_67_Late__Semantics_OComm1, fact_174_pi_Odistinct_I49_J, fact_149_inputCases_H, fact_5_cClose2_Ohyps_I8_J, fact_20_Par2F, fact_292_pi_Osupp_I3_J, fact_242_abs__fresh_I2_J, fact_16_Free_Ohyps, fact_259_exists__fresh, fact_144_abs__fresh_I1_J, fact_304_residual_Orecs_I2_J, fact_188_pi_Ostrong__inducts, fact_204_sumCases, fact_17_simps_I9_J, fact_52_mem__Collect__eq, fact_31_substTrans, fact_112_tauBoundTrans, fact_201_pi_Odistinct_I87_J, fact_75_residual_Ofresh_I2_J, fact_329_residual_Orec__unique, fact_254_exists__fresh, fact_18_simps_I8_J, fact_299_fs__name1, fact_283_fresh__def, fact_77_subject_Ofresh_I1_J, fact_165_mismatchTrans, fact_156_simps_I6_J, fact_215_pi_Oinject_I9_J, fact_158_pi_Ofresh_I6_J, fact_136_residual_Oinject_I1_J, fact_345_pi_Osupp_I8_J, fact_19_Par1F, fact_118_outputTauTrans
64.30/22.36	% No. of inferences in proof: 672
64.30/22.36	% SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 17617 ms resp. 17027 ms w/o parsing
64.30/22.36	% SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
64.30/22.36	thf(noptio1065747147ubject_type, type, noptio1065747147ubject: $tType).
64.30/22.36	thf(noptio930204083reeRes_type, type, noptio930204083reeRes: $tType).
64.30/22.36	thf(noptio570777408ubject_type, type, noptio570777408ubject: $tType).
64.30/22.36	thf(noptio435234344reeRes_type, type, noptio435234344reeRes: $tType).
64.30/22.36	thf(noptio1926134715n_name_type, type, noptio1926134715n_name: $tType).
64.30/22.36	thf(noptio354675977ion_pi_type, type, noptio354675977ion_pi: $tType).
64.30/22.36	thf(noption_Late_subject_type, type, noption_Late_subject: $tType).
64.30/22.36	thf(noption_Late_freeRes_type, type, noption_Late_freeRes: $tType).
64.30/22.36	thf(noption_name_type, type, noption_name: $tType).
64.30/22.36	thf(noption_pi_type, type, noption_pi: $tType).
64.30/22.36	thf(set_name_type, type, set_name: $tType).
64.30/22.36	thf(late_residual_type, type, late_residual: $tType).
64.30/22.36	thf(late_subject_type, type, late_subject: $tType).
64.30/22.36	thf(late_freeRes_type, type, late_freeRes: $tType).
64.30/22.36	thf(name_type, type, name: $tType).
64.30/22.36	thf(pi_type, type, pi: $tType).
64.30/22.36	thf(bang_type, type, bang: (pi > pi)).
64.30/22.36	thf(input_type, type, input: (name > (name > (pi > pi)))).
64.30/22.36	thf(match_type, type, match: (name > (name > (pi > pi)))).
64.30/22.36	thf(mismatch_type, type, mismatch: (name > (name > (pi > pi)))).
64.30/22.36	thf(output_type, type, output: (name > (name > (pi > pi)))).
64.30/22.36	thf(par_type, type, par: (pi > (pi > pi))).
64.30/22.36	thf(piNil_type, type, piNil: pi).
64.30/22.36	thf(res_type, type, res: (name > (pi > pi))).
64.30/22.36	thf(sum_type, type, sum: (pi > (pi > pi))).
64.30/22.36	thf(tau_type, type, tau: (pi > pi)).
64.30/22.36	thf(pi_rec_pi_type, type, pi_rec_pi: (pi > ((name > (name > (pi > (pi > pi)))) > ((pi > (pi > pi)) > ((name > (name > (pi > (pi > pi)))) > ((name > (name > (pi > (pi > pi)))) > ((name > (name > (pi > (pi > pi)))) > ((pi > (pi > (pi > (pi > pi)))) > ((pi > (pi > (pi > (pi > pi)))) > ((name > (pi > (pi > pi))) > ((pi > (pi > pi)) > (pi > pi)))))))))))).
64.30/22.36	thf(subs_type, type, subs: (pi > (name > (name > pi)))).
64.30/22.36	thf(subst_name_type, type, subst_name: (name > (name > (name > name)))).
64.30/22.36	thf(finite_finite_name_type, type, finite_finite_name: (set_name > $o)).
64.30/22.36	thf(if_name_type, type, if_name: ($o > (name > (name > name)))).
64.30/22.36	thf(late_bangPred_type, type, late_bangPred: (pi > (pi > $o))).
64.30/22.36	thf(late_OutputR_type, type, late_OutputR: (name > (name > late_freeRes))).
64.30/22.36	thf(late_TauR_type, type, late_TauR: late_freeRes).
64.30/22.36	thf(late_BoundR_type, type, late_BoundR: (late_subject > (name > (pi > late_residual)))).
64.30/22.36	thf(late_FreeR_type, type, late_FreeR: (late_freeRes > (pi > late_residual))).
64.30/22.36	thf(late_r1174711868c_name_type, type, late_r1174711868c_name: ((late_subject > (name > (pi > name))) > ((late_freeRes > (pi > name)) > (late_residual > name)))).
64.30/22.36	thf(late_residual_rec_pi_type, type, late_residual_rec_pi: ((late_subject > (name > (pi > pi))) > ((late_freeRes > (pi > pi)) > (late_residual > pi)))).
64.30/22.36	thf(late_r124702629reeRes_type, type, late_r124702629reeRes: ((late_subject > (name > (pi > late_freeRes))) > ((late_freeRes > (pi > late_freeRes)) > (late_residual > late_freeRes)))).
64.30/22.36	thf(late_r1347955901ubject_type, type, late_r1347955901ubject: ((late_subject > (name > (pi > late_subject))) > ((late_freeRes > (pi > late_subject)) > (late_residual > late_subject)))).
64.30/22.36	thf(late_r1558248490ion_pi_type, type, late_r1558248490ion_pi: ((late_subject > (name > (pi > (name > noptio354675977ion_pi)))) > ((late_freeRes > (pi > (name > noptio354675977ion_pi))) > (late_residual > ((name > noptio354675977ion_pi) > $o))))).
64.30/22.36	thf(late_r303715378n_name_type, type, late_r303715378n_name: ((late_subject > (name > (pi > (name > noption_name)))) > ((late_freeRes > (pi > (name > noption_name))) > (late_residual > ((name > noption_name) > $o))))).
64.30/22.36	thf(late_r750878080ion_pi_type, type, late_r750878080ion_pi: ((late_subject > (name > (pi > (name > noption_pi)))) > ((late_freeRes > (pi > (name > noption_pi))) > (late_residual > ((name > noption_pi) > $o))))).
64.30/22.36	thf(late_r1742481968t_name_type, type, late_r1742481968t_name: ((late_subject > (name > (pi > name))) > ((late_freeRes > (pi > name)) > (late_residual > (name > $o))))).
64.30/22.36	thf(late_r1261898622set_pi_type, type, late_r1261898622set_pi: ((late_subject > (name > (pi > pi))) > ((late_freeRes > (pi > pi)) > (late_residual > (pi > $o))))).
64.30/22.36	thf(late_r1613948593reeRes_type, type, late_r1613948593reeRes: ((late_subject > (name > (pi > late_freeRes))) > ((late_freeRes > (pi > late_freeRes)) > (late_residual > (late_freeRes > $o))))).
64.30/22.36	thf(late_r689718217ubject_type, type, late_r689718217ubject: ((late_subject > (name > (pi > late_subject))) > ((late_freeRes > (pi > late_subject)) > (late_residual > (late_subject > $o))))).
64.30/22.36	thf(late_BoundOutputS_type, type, late_BoundOutputS: (name > late_subject)).
64.30/22.36	thf(late_InputS_type, type, late_InputS: (name > late_subject)).
64.30/22.36	thf(late_transitions_type, type, late_transitions: (pi > (late_residual > $o))).
64.30/22.36	thf(sup_sup_set_name_type, type, sup_sup_set_name: (set_name > (set_name > set_name))).
64.30/22.36	thf(abs_fu1614711987ion_pi_type, type, abs_fu1614711987ion_pi: (name > ((name > noption_pi) > (name > noptio354675977ion_pi)))).
64.30/22.36	thf(abs_fu946147443reeRes_type, type, abs_fu946147443reeRes: (name > ((late_freeRes > (pi > late_freeRes)) > (name > noptio930204083reeRes)))).
64.30/22.36	thf(abs_fu888821131ubject_type, type, abs_fu888821131ubject: (name > ((late_freeRes > (pi > late_subject)) > (name > noptio1065747147ubject)))).
64.30/22.36	thf(abs_fun_name_name_type, type, abs_fun_name_name: (name > (name > (name > noption_name)))).
64.30/22.36	thf(abs_fun_name_pi_type, type, abs_fun_name_pi: (name > (pi > (name > noption_pi)))).
64.30/22.36	thf(abs_fu681348580reeRes_type, type, abs_fu681348580reeRes: (name > (late_freeRes > (name > noption_Late_freeRes)))).
64.30/22.36	thf(abs_fu1904601852ubject_type, type, abs_fu1904601852ubject: (name > (late_subject > (name > noption_Late_subject)))).
64.30/22.36	thf(fresh_92802872ion_pi_type, type, fresh_92802872ion_pi: (name > ((name > noptio354675977ion_pi) > $o))).
64.30/22.36	thf(fresh_111433690reeRes_type, type, fresh_111433690reeRes: (name > ((name > noptio930204083reeRes) > $o))).
64.30/22.36	thf(fresh_1644004594ubject_type, type, fresh_1644004594ubject: (name > ((name > noptio1065747147ubject) > $o))).
64.30/22.36	thf(fresh_1093033124n_name_type, type, fresh_1093033124n_name: (name > ((name > noption_name) > $o))).
64.30/22.36	thf(fresh_543891186ion_pi_type, type, fresh_543891186ion_pi: (name > ((name > noption_pi) > $o))).
64.30/22.36	thf(fresh_785364841reeRes_type, type, fresh_785364841reeRes: (name > ((name > noption_Late_freeRes) > $o))).
64.30/22.36	thf(fresh_728038529ubject_type, type, fresh_728038529ubject: (name > ((name > noption_Late_subject) > $o))).
64.30/22.36	thf(fresh_2081817683ion_pi_type, type, fresh_2081817683ion_pi: (name > ((late_freeRes > (pi > (name > noptio354675977ion_pi))) > $o))).
64.30/22.36	thf(fresh_808662133n_name_type, type, fresh_808662133n_name: (name > ((late_freeRes > (pi > (name > noption_name))) > $o))).
64.30/22.36	thf(fresh_7927363ion_pi_type, type, fresh_7927363ion_pi: (name > ((late_freeRes > (pi > (name > noption_pi))) > $o))).
64.30/22.36	thf(fresh_1030632537i_name_type, type, fresh_1030632537i_name: (name > ((late_freeRes > (pi > name)) > $o))).
64.30/22.36	thf(fresh_1011532071_pi_pi_type, type, fresh_1011532071_pi_pi: (name > ((late_freeRes > (pi > pi)) > $o))).
64.30/22.36	thf(fresh_256112244reeRes_type, type, fresh_256112244reeRes: (name > ((late_freeRes > (pi > late_freeRes)) > $o))).
64.30/22.36	thf(fresh_198785932ubject_type, type, fresh_198785932ubject: (name > ((late_freeRes > (pi > late_subject)) > $o))).
64.30/22.36	thf(fresh_876421558ion_pi_type, type, fresh_876421558ion_pi: (name > ((late_subject > (name > (pi > (name > noptio354675977ion_pi)))) > $o))).
64.30/22.36	thf(fresh_62885992n_name_type, type, fresh_62885992n_name: (name > ((late_subject > (name > (pi > (name > noption_name)))) > $o))).
64.30/22.36	thf(fresh_747777846ion_pi_type, type, fresh_747777846ion_pi: (name > ((late_subject > (name > (pi > (name > noption_pi)))) > $o))).
64.30/22.36	thf(fresh_621211324i_name_type, type, fresh_621211324i_name: (name > ((late_subject > (name > (pi > name))) > $o))).
64.30/22.36	thf(fresh_1438126218_pi_pi_type, type, fresh_1438126218_pi_pi: (name > ((late_subject > (name > (pi > pi))) > $o))).
64.30/22.36	thf(fresh_660367079reeRes_type, type, fresh_660367079reeRes: (name > ((late_subject > (name > (pi > late_freeRes))) > $o))).
64.30/22.36	thf(fresh_795910143ubject_type, type, fresh_795910143ubject: (name > ((late_subject > (name > (pi > late_subject))) > $o))).
64.30/22.36	thf(fresh_name_name_type, type, fresh_name_name: (name > (name > $o))).
64.30/22.36	thf(fresh_name_pi_type, type, fresh_name_pi: (name > (pi > $o))).
64.30/22.36	thf(fresh_1641682979reeRes_type, type, fresh_1641682979reeRes: (name > (late_freeRes > $o))).
64.30/22.36	thf(fresh_81631222sidual_type, type, fresh_81631222sidual: (name > (late_residual > $o))).
64.30/22.36	thf(fresh_717452603ubject_type, type, fresh_717452603ubject: (name > (late_subject > $o))).
64.30/22.36	thf(supp_n468628396i_name_type, type, supp_n468628396i_name: ((name > noption_pi) > set_name)).
64.30/22.36	thf(supp_L979396363i_name_type, type, supp_L979396363i_name: ((late_freeRes > (pi > (name > noptio354675977ion_pi))) > set_name)).
64.30/22.36	thf(supp_L473926939e_name_type, type, supp_L473926939e_name: ((late_freeRes > (pi > (name > noption_name))) > set_name)).
64.30/22.36	thf(supp_L635439693i_name_type, type, supp_L635439693i_name: ((late_freeRes > (pi > (name > noption_pi))) > set_name)).
64.30/22.36	thf(supp_L926407557e_name_type, type, supp_L926407557e_name: ((late_freeRes > (pi > name)) > set_name)).
64.30/22.36	thf(supp_L2052723895i_name_type, type, supp_L2052723895i_name: ((late_freeRes > (pi > pi)) > set_name)).
64.30/22.36	thf(supp_L381160156s_name_type, type, supp_L381160156s_name: ((late_freeRes > (pi > late_freeRes)) > set_name)).
64.30/22.36	thf(supp_L1759672260t_name_type, type, supp_L1759672260t_name: ((late_freeRes > (pi > late_subject)) > set_name)).
64.30/22.36	thf(supp_L1512088218i_name_type, type, supp_L1512088218i_name: ((late_subject > (name > (pi > (name > noptio354675977ion_pi)))) > set_name)).
64.30/22.36	thf(supp_L14705974e_name_type, type, supp_L14705974e_name: ((late_subject > (name > (pi > (name > noption_name)))) > set_name)).
64.30/22.36	thf(supp_L3230824i_name_type, type, supp_L3230824i_name: ((late_subject > (name > (pi > (name > noption_pi)))) > set_name)).
64.30/22.36	thf(supp_L538372628e_name_type, type, supp_L538372628e_name: ((late_subject > (name > (pi > name))) > set_name)).
64.30/22.36	thf(supp_L729745222i_name_type, type, supp_L729745222i_name: ((late_subject > (name > (pi > pi))) > set_name)).
64.30/22.36	thf(supp_L1178477943s_name_type, type, supp_L1178477943s_name: ((late_subject > (name > (pi > late_freeRes))) > set_name)).
64.30/22.36	thf(supp_L1144036959t_name_type, type, supp_L1144036959t_name: ((late_subject > (name > (pi > late_subject))) > set_name)).
64.30/22.36	thf(supp_name_name_type, type, supp_name_name: (name > set_name)).
64.30/22.36	thf(supp_pi_name_type, type, supp_pi_name: (pi > set_name)).
64.30/22.36	thf(supp_L1228270395s_name_type, type, supp_L1228270395s_name: (late_freeRes > set_name)).
64.30/22.36	thf(supp_L1174042202l_name_type, type, supp_L1174042202l_name: (late_residual > set_name)).
64.30/22.36	thf(supp_L1174290467t_name_type, type, supp_L1174290467t_name: (late_subject > set_name)).
64.30/22.36	thf(collect_name_type, type, collect_name: ((name > $o) > set_name)).
64.30/22.36	thf(member_name_type, type, member_name: (name > (set_name > $o))).
64.30/22.36	thf(p_type, type, p: pi).
64.30/22.36	thf(pqr_type, type, pqr: pi).
64.30/22.36	thf(q_type, type, q: pi).
64.30/22.36	thf(qr_type, type, qr: pi).
64.30/22.36	thf(q2_type, type, q2: pi).
64.30/22.36	thf(r_type, type, r: pi).
64.30/22.36	thf(r2_type, type, r2: pi).
64.30/22.36	thf(alpha_type, type, alpha: late_freeRes).
64.30/22.36	thf(a_type, type, a: name).
64.30/22.36	thf(x_type, type, x: name).
64.30/22.36	thf(y_type, type, y: name).
64.30/22.36	thf(128,axiom,((! [A:(late_subject > (name > (pi > pi))),B:(late_freeRes > (pi > pi)),C:late_freeRes,D:(pi > $o),E:name,F:late_subject,G:pi]: ((((finite_finite_name @ (supp_L1228270395s_name @ C)) => (((! [H:late_freeRes,I:pi]: (D @ (B @ H @ I))) => ((((fresh_1011532071_pi_pi @ E @ B) => (((late_residual_rec_pi @ A @ B @ (late_BoundR @ F @ E @ G)) = (A @ F @ E @ G)) <= (fresh_717452603ubject @ E @ F))) <= (fresh_1438126218_pi_pi @ E @ A)) <= (! [H:late_subject,I:name,J:pi]: (((fresh_717452603ubject @ I @ H) => ((fresh_1641682979reeRes @ I @ C) => ((fresh_name_pi @ I @ (A @ H @ I @ J)) <= (D @ (A @ H @ I @ J))))) <= (fresh_1438126218_pi_pi @ I @ A))))) <= (! [H:late_subject,I:name,J:pi]: (D @ (A @ H @ I @ J))))) <= (finite_finite_name @ (supp_L2052723895i_name @ B))) <= (finite_finite_name @ (supp_L729745222i_name @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_317_residual_Orecs_I1_J)).
64.30/22.36	thf(892,plain,((! [A:(late_subject > (name > (pi > pi))),B:(late_freeRes > (pi > pi)),C:late_freeRes,D:(pi > $o),E:name,F:late_subject,G:pi]: (((finite_finite_name @ (supp_L1228270395s_name @ C)) => (((! [H:late_freeRes,I:pi]: (D @ (B @ H @ I))) => (((fresh_1011532071_pi_pi @ E @ (B)) => (((late_residual_rec_pi @ (A) @ (B) @ (late_BoundR @ F @ E @ G)) = (A @ F @ E @ G)) | ~ (fresh_717452603ubject @ E @ F))) | ~ (fresh_1438126218_pi_pi @ E @ (A)) | ~ (! [H:late_subject,I:name,J:pi]: (((fresh_717452603ubject @ I @ H) => ((fresh_1641682979reeRes @ I @ C) => ((fresh_name_pi @ I @ (A @ H @ I @ J)) | ~ (D @ (A @ H @ I @ J))))) | ~ (fresh_1438126218_pi_pi @ I @ (A)))))) | ~ (! [H:late_subject,I:name,J:pi]: (D @ (A @ H @ I @ J))))) | ~ (finite_finite_name @ (supp_L2052723895i_name @ (B))) | ~ (finite_finite_name @ (supp_L729745222i_name @ (A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[128])).
64.30/22.36	thf(161,axiom,((! [A:late_subject,B:name,C:name]: ((finite_finite_name @ (supp_L1174290467t_name @ A)) => ((fresh_728038529ubject @ B @ (abs_fu1904601852ubject @ C @ A)) = ((B = C) | (fresh_717452603ubject @ B @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_241_abs__fresh_I2_J)).
64.30/22.36	thf(1036,plain,((! [A:late_subject,B:name,C:name]: ((finite_finite_name @ (supp_L1174290467t_name @ A)) => ((fresh_728038529ubject @ B @ (abs_fu1904601852ubject @ C @ A)) = ((B = C) | (fresh_717452603ubject @ B @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[161])).
64.30/22.36	thf(68,axiom,((! [A:name,B:name,C:pi]: (piNil != (input @ A @ B @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_218_pi_Odistinct_I5_J)).
64.30/22.36	thf(629,plain,((! [A:name,B:name,C:pi]: ~ (piNil = (input @ A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[68])).
64.30/22.36	thf(191,axiom,((! [A:pi,B:late_residual,C:name]: ((late_transitions @ (match @ C @ C @ A) @ B) <= (late_transitions @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_163_Match)).
64.30/22.36	thf(1190,plain,((! [A:pi,B:late_residual,C:name]: ((late_transitions @ (match @ C @ C @ A) @ B) | ~ (late_transitions @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[191])).
64.30/22.36	thf(327,axiom,((! [A:pi,B:late_residual]: ((late_transitions @ (tau @ A) @ B) => (~ (! [C:pi]: (((tau @ A) = (tau @ C)) => (B != (late_FreeR @ late_TauR @ C)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_121_tauCases_H)).
64.30/22.36	thf(2031,plain,((! [A:pi,B:late_residual]: ((late_transitions @ (tau @ A) @ B) => (~ (! [C:pi]: (((tau @ A) = (tau @ C)) => (~ (B = (late_FreeR @ late_TauR @ C))))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[327])).
64.30/22.36	thf(287,axiom,((! [A:pi,B:pi]: ((supp_pi_name @ (par @ A @ B)) = (sup_sup_set_name @ (supp_pi_name @ A) @ (supp_pi_name @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_345_pi_Osupp_I8_J)).
64.30/22.36	thf(1767,plain,((! [A:pi,B:pi]: ((supp_pi_name @ (par @ A @ B)) = (sup_sup_set_name @ (supp_pi_name @ A) @ (supp_pi_name @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[287])).
64.30/22.36	thf(6,axiom,((! [A:name,B:name,C:late_freeRes]: ((fresh_785364841reeRes @ A @ (abs_fu681348580reeRes @ B @ C)) = ((A = B) | (fresh_1641682979reeRes @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_142_abs__fresh_I1_J)).
64.30/22.36	thf(347,plain,((! [A:name,B:name,C:late_freeRes]: ((fresh_785364841reeRes @ A @ (abs_fu681348580reeRes @ B @ C)) = ((A = B) | (fresh_1641682979reeRes @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[6])).
64.30/22.36	thf(148,axiom,((! [A:(late_subject > (name > (pi > name))),B:(late_freeRes > (pi > name)),C:late_subject,D:(name > $o),E:late_residual]: ((finite_finite_name @ (supp_L538372628e_name @ A)) => (((((! [F:late_freeRes,G:pi]: (D @ (B @ F @ G))) => ((! [F:late_subject,G:name]: (((fresh_717452603ubject @ G @ F) => ((fresh_717452603ubject @ G @ C) => (! [H:pi]: ((fresh_name_name @ G @ (A @ F @ G @ H)) <= (D @ (A @ F @ G @ H)))))) <= (fresh_621211324i_name @ G @ A))) => (? [F:name]: ((late_r1742481968t_name @ A @ B @ E @ F) & ! [G:name]: ((late_r1742481968t_name @ A @ B @ E @ G) => (G = F)))))) <= (! [F:late_subject,G:name,H:pi]: (D @ (A @ F @ G @ H)))) <= (finite_finite_name @ (supp_L1174290467t_name @ C))) <= (finite_finite_name @ (supp_L926407557e_name @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_329_residual_Orec__unique)).
64.30/22.36	thf(962,plain,((! [A:(late_subject > (name > (pi > name))),B:(late_freeRes > (pi > name)),C:late_subject,D:(name > $o),E:late_residual]: ((finite_finite_name @ (supp_L538372628e_name @ (A))) => (((! [F:late_freeRes,G:pi]: (D @ (B @ F @ G))) => ((! [F:late_subject,G:name]: (((fresh_717452603ubject @ G @ F) => ((fresh_717452603ubject @ G @ C) => (! [H:pi]: ((fresh_name_name @ G @ (A @ F @ G @ H)) | ~ (D @ (A @ F @ G @ H)))))) | ~ (fresh_621211324i_name @ G @ (A)))) => (? [F:name]: ((late_r1742481968t_name @ (A) @ (B) @ E @ F) & ! [G:name]: ((late_r1742481968t_name @ (A) @ (B) @ E @ G) => (G = F)))))) | ~ (! [F:late_subject,G:name,H:pi]: (D @ (A @ F @ G @ H))) | ~ (finite_finite_name @ (supp_L1174290467t_name @ C)) | ~ (finite_finite_name @ (supp_L926407557e_name @ (B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[148])).
64.30/22.36	thf(105,axiom,((! [A:name,B:name,C:pi]: ((supp_pi_name @ (input @ A @ B @ C)) = (sup_sup_set_name @ (supp_name_name @ A) @ (supp_n468628396i_name @ (abs_fun_name_pi @ B @ C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_342_pi_Osupp_I4_J)).
64.30/22.36	thf(777,plain,((! [A:name,B:name,C:pi]: ((supp_pi_name @ (input @ A @ B @ C)) = (sup_sup_set_name @ (supp_name_name @ A) @ (supp_n468628396i_name @ (abs_fun_name_pi @ B @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[105])).
64.30/22.36	thf(180,axiom,((! [A:pi,B:pi]: ((late_bangPred @ A @ B) => ((B = (par @ A @ (bang @ A))) <= (B != (bang @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_236_bangPred_Ocases)).
64.30/22.36	thf(1110,plain,((! [A:pi,B:pi]: ((late_bangPred @ A @ B) => ((B = (par @ A @ (bang @ A))) | (B = (bang @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[180])).
64.30/22.36	thf(40,axiom,((! [A:name]: ((finite_finite_name @ (supp_name_name @ A)) => (? [B:name]: (fresh_name_name @ B @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_263_exists__fresh_H)).
64.30/22.36	thf(481,plain,((! [A:name]: ((finite_finite_name @ (supp_name_name @ A)) => (? [B:name]: (fresh_name_name @ B @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[40])).
64.30/22.36	thf(215,axiom,((! [A:name,B:pi]: ((supp_pi_name @ (res @ A @ B)) = (supp_n468628396i_name @ (abs_fun_name_pi @ A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_291_pi_Osupp_I9_J)).
64.30/22.36	thf(1337,plain,((! [A:name,B:pi]: ((supp_pi_name @ (res @ A @ B)) = (supp_n468628396i_name @ (abs_fun_name_pi @ A @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[215])).
64.30/22.36	thf(276,axiom,((! [A:(late_subject > (name > (pi > name))),B:(late_freeRes > (pi > name)),C:late_subject,D:(name > $o),E:late_freeRes,F:pi]: ((finite_finite_name @ (supp_L538372628e_name @ A)) => ((finite_finite_name @ (supp_L926407557e_name @ B)) => ((((((late_r1174711868c_name @ A @ B @ (late_FreeR @ E @ F)) = (B @ E @ F)) <= (! [G:late_subject,H:name,I:pi]: ((fresh_621211324i_name @ H @ A) => ((fresh_717452603ubject @ H @ G) => ((fresh_717452603ubject @ H @ C) => ((D @ (A @ G @ H @ I)) => (fresh_name_name @ H @ (A @ G @ H @ I)))))))) <= (! [G:late_freeRes,H:pi]: (D @ (B @ G @ H)))) <= (! [G:late_subject,H:name,I:pi]: (D @ (A @ G @ H @ I)))) <= (finite_finite_name @ (supp_L1174290467t_name @ C))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_302_residual_Orecs_I2_J)).
64.30/22.36	thf(1718,plain,((! [A:(late_subject > (name > (pi > name))),B:(late_freeRes > (pi > name)),C:late_subject,D:(name > $o),E:late_freeRes,F:pi]: ((finite_finite_name @ (supp_L538372628e_name @ (A))) => ((finite_finite_name @ (supp_L926407557e_name @ (B))) => (((late_r1174711868c_name @ (A) @ (B) @ (late_FreeR @ E @ F)) = (B @ E @ F)) | ~ (! [G:late_subject,H:name,I:pi]: ((fresh_621211324i_name @ H @ (A)) => ((fresh_717452603ubject @ H @ G) => ((fresh_717452603ubject @ H @ C) => ((D @ (A @ G @ H @ I)) => (fresh_name_name @ H @ (A @ G @ H @ I))))))) | ~ (! [G:late_freeRes,H:pi]: (D @ (B @ G @ H))) | ~ (! [G:late_subject,H:name,I:pi]: (D @ (A @ G @ H @ I))) | ~ (finite_finite_name @ (supp_L1174290467t_name @ C))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[276])).
64.30/22.36	thf(295,axiom,((! [A:pi,B:pi,C:late_subject,D:name,E:pi]: ((late_transitions @ (par @ A @ B) @ (late_BoundR @ C @ D @ E)) => ((~ (! [F:pi,G:late_subject,H:name,I:pi,J:pi]: (((par @ A @ B) = (par @ J @ F)) => (((((~ (fresh_717452603ubject @ H @ G)) <= (fresh_name_pi @ H @ F)) <= (fresh_name_pi @ H @ J)) <= (late_transitions @ F @ (late_BoundR @ G @ H @ I))) <= ((late_BoundR @ C @ D @ E) = (late_BoundR @ G @ H @ (par @ J @ I))))))) <= (! [F:pi,G:late_subject,H:name,I:pi,J:pi]: ((((late_BoundR @ C @ D @ E) = (late_BoundR @ G @ H @ (par @ I @ J))) => ((late_transitions @ F @ (late_BoundR @ G @ H @ I)) => (((~ (fresh_717452603ubject @ H @ G)) <= (fresh_name_pi @ H @ J)) <= (fresh_name_pi @ H @ F)))) <= ((par @ A @ B) = (par @ F @ J)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_91_parCasesB_H)).
64.30/22.36	thf(1855,plain,((! [A:pi,B:pi,C:late_subject,D:name,E:pi]: ((late_transitions @ (par @ A @ B) @ (late_BoundR @ C @ D @ E)) => (~ (! [F:pi,G:late_subject,H:name,I:pi,J:pi]: (((par @ A @ B) = (par @ J @ F)) => (~ (fresh_717452603ubject @ H @ G) | ~ (fresh_name_pi @ H @ F) | ~ (fresh_name_pi @ H @ J) | ~ (late_transitions @ F @ (late_BoundR @ G @ H @ I)) | ~ ((late_BoundR @ C @ D @ E) = (late_BoundR @ G @ H @ (par @ J @ I)))))) | ~ (! [F:pi,G:late_subject,H:name,I:pi,J:pi]: ((((late_BoundR @ C @ D @ E) = (late_BoundR @ G @ H @ (par @ I @ J))) => ((late_transitions @ F @ (late_BoundR @ G @ H @ I)) => (~ (fresh_717452603ubject @ H @ G) | ~ (fresh_name_pi @ H @ J) | ~ (fresh_name_pi @ H @ F)))) | ~ ((par @ A @ B) = (par @ F @ J)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[295])).
64.30/22.36	thf(195,axiom,((! [A:(late_subject > (pi > $o)),B:late_subject,C:pi]: ((! [D:late_subject]: (A @ D @ piNil)) => ((! [D:name,E:name,F:pi,G:late_subject]: ((A @ G @ (output @ D @ E @ F)) <= (! [H:late_subject]: (A @ H @ F)))) => (((! [D:name,E:name,F:pi,G:late_subject]: ((fresh_717452603ubject @ E @ G) => ((fresh_name_name @ E @ D) => ((! [H:late_subject]: (A @ H @ F)) => (A @ G @ (input @ D @ E @ F)))))) => (((! [D:name,E:name,F:pi,G:late_subject]: ((! [H:late_subject]: (A @ H @ F)) => (A @ G @ (mismatch @ D @ E @ F)))) => ((! [D:pi,E:pi,F:late_subject]: (((! [G:late_subject]: (A @ G @ E)) => (A @ F @ (sum @ D @ E))) <= (! [G:late_subject]: (A @ G @ D)))) => ((((A @ B @ C) <= (! [D:pi,E:late_subject]: ((! [F:late_subject]: (A @ F @ D)) => (A @ E @ (bang @ D))))) <= (! [D:name,E:pi,F:late_subject]: ((fresh_717452603ubject @ D @ F) => ((! [G:late_subject]: (A @ G @ E)) => (A @ F @ (res @ D @ E)))))) <= (! [D:pi,E:pi,F:late_subject]: ((! [G:late_subject]: (A @ G @ D)) => ((! [G:late_subject]: (A @ G @ E)) => (A @ F @ (par @ D @ E)))))))) <= (! [D:name,E:name,F:pi,G:late_subject]: ((A @ G @ (match @ D @ E @ F)) <= (! [H:late_subject]: (A @ H @ F)))))) <= (! [D:pi,E:late_subject]: ((! [F:late_subject]: (A @ F @ D)) => (A @ E @ (tau @ D))))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_185_pi_Ostrong__inducts)).
64.30/22.36	thf(1211,plain,((! [A:(late_subject > (pi > $o)),B:late_subject,C:pi]: ((! [D:late_subject]: (A @ D @ piNil)) => ((! [D:name,E:name,F:pi,G:late_subject]: ((A @ G @ (output @ D @ E @ F)) | ~ (! [H:late_subject]: (A @ H @ F)))) => (((! [D:name,E:name,F:pi,G:late_subject]: ((fresh_717452603ubject @ E @ G) => ((fresh_name_name @ E @ D) => ((! [H:late_subject]: (A @ H @ F)) => (A @ G @ (input @ D @ E @ F)))))) => (((! [D:name,E:name,F:pi,G:late_subject]: ((! [H:late_subject]: (A @ H @ F)) => (A @ G @ (mismatch @ D @ E @ F)))) => ((! [D:pi,E:pi,F:late_subject]: (((! [G:late_subject]: (A @ G @ E)) => (A @ F @ (sum @ D @ E))) | ~ (! [G:late_subject]: (A @ G @ D)))) => ((A @ B @ C) | ~ (! [D:pi,E:late_subject]: ((! [F:late_subject]: (A @ F @ D)) => (A @ E @ (bang @ D)))) | ~ (! [D:name,E:pi,F:late_subject]: ((fresh_717452603ubject @ D @ F) => ((! [G:late_subject]: (A @ G @ E)) => (A @ F @ (res @ D @ E))))) | ~ (! [D:pi,E:pi,F:late_subject]: ((! [G:late_subject]: (A @ G @ D)) => ((! [G:late_subject]: (A @ G @ E)) => (A @ F @ (par @ D @ E)))))))) | ~ (! [D:name,E:name,F:pi,G:late_subject]: ((A @ G @ (match @ D @ E @ F)) | ~ (! [H:late_subject]: (A @ H @ F)))))) | ~ (! [D:pi,E:late_subject]: ((! [F:late_subject]: (A @ F @ D)) => (A @ E @ (tau @ D))))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[195])).
64.30/22.36	thf(167,axiom,((fresh_name_pi @ x @ r)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9_cClose2_Ohyps_I4_J)).
64.30/22.36	thf(1068,plain,((fresh_name_pi @ x @ r)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[167])).
64.30/22.36	thf(234,axiom,((! [A:name,B:name,C:pi]: (late_transitions @ (input @ A @ B @ C) @ (late_BoundR @ (late_InputS @ A) @ B @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_154_Late__Semantics_OInput)).
64.30/22.36	thf(1522,plain,((! [A:name,B:name,C:pi]: (late_transitions @ (input @ A @ B @ C) @ (late_BoundR @ (late_InputS @ A) @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[234])).
64.30/22.36	thf(336,axiom,((! [A:(pi > (pi > $o)),B:pi,C:pi]: (((((! [D:name,E:name,F:pi,G:pi]: (((fresh_name_name @ E @ D) => ((! [H:pi]: (A @ H @ F)) => (A @ G @ (input @ D @ E @ F)))) <= (fresh_name_pi @ E @ G))) => ((! [D:name,E:name,F:pi,G:pi]: ((A @ G @ (match @ D @ E @ F)) <= (! [H:pi]: (A @ H @ F)))) => ((! [D:name,E:name,F:pi,G:pi]: ((! [H:pi]: (A @ H @ F)) => (A @ G @ (mismatch @ D @ E @ F)))) => (((! [D:pi,E:pi,F:pi]: (((A @ F @ (par @ D @ E)) <= (! [G:pi]: (A @ G @ E))) <= (! [G:pi]: (A @ G @ D)))) => (((A @ B @ C) <= (! [D:pi,E:pi]: ((! [F:pi]: (A @ F @ D)) => (A @ E @ (bang @ D))))) <= (! [D:name,E:pi,F:pi]: ((fresh_name_pi @ D @ F) => ((A @ F @ (res @ D @ E)) <= (! [G:pi]: (A @ G @ E))))))) <= (! [D:pi,E:pi,F:pi]: (((! [G:pi]: (A @ G @ E)) => (A @ F @ (sum @ D @ E))) <= (! [G:pi]: (A @ G @ D)))))))) <= (! [D:pi,E:pi]: ((! [F:pi]: (A @ F @ D)) => (A @ E @ (tau @ D))))) <= (! [D:name,E:name,F:pi,G:pi]: ((! [H:pi]: (A @ H @ F)) => (A @ G @ (output @ D @ E @ F))))) <= (! [D:pi]: (A @ D @ piNil))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_192_pi_Ostrong__induct)).
64.30/22.36	thf(2062,plain,((! [A:(pi > (pi > $o)),B:pi,C:pi]: (((! [D:name,E:name,F:pi,G:pi]: (((fresh_name_name @ E @ D) => ((! [H:pi]: (A @ H @ F)) => (A @ G @ (input @ D @ E @ F)))) | ~ (fresh_name_pi @ E @ G))) => ((! [D:name,E:name,F:pi,G:pi]: ((A @ G @ (match @ D @ E @ F)) | ~ (! [H:pi]: (A @ H @ F)))) => ((! [D:name,E:name,F:pi,G:pi]: ((! [H:pi]: (A @ H @ F)) => (A @ G @ (mismatch @ D @ E @ F)))) => (((! [D:pi,E:pi,F:pi]: ((A @ F @ (par @ D @ E)) | ~ (! [G:pi]: (A @ G @ E)) | ~ (! [G:pi]: (A @ G @ D)))) => ((A @ B @ C) | ~ (! [D:pi,E:pi]: ((! [F:pi]: (A @ F @ D)) => (A @ E @ (bang @ D)))) | ~ (! [D:name,E:pi,F:pi]: ((fresh_name_pi @ D @ F) => ((A @ F @ (res @ D @ E)) | ~ (! [G:pi]: (A @ G @ E))))))) | ~ (! [D:pi,E:pi,F:pi]: (((! [G:pi]: (A @ G @ E)) => (A @ F @ (sum @ D @ E))) | ~ (! [G:pi]: (A @ G @ D)))))))) | ~ (! [D:pi,E:pi]: ((! [F:pi]: (A @ F @ D)) => (A @ E @ (tau @ D)))) | ~ (! [D:name,E:name,F:pi,G:pi]: ((! [H:pi]: (A @ H @ F)) => (A @ G @ (output @ D @ E @ F)))) | ~ (! [D:pi]: (A @ D @ piNil))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[336])).
64.30/22.36	thf(252,axiom,((! [A:pi]: (late_bangPred @ A @ (par @ A @ (bang @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_235_aux2)).
64.30/22.36	thf(1618,plain,((! [A:pi]: (late_bangPred @ A @ (par @ A @ (bang @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[252])).
64.30/22.36	thf(170,axiom,((! [A:pi,B:name,C:name,D:pi,E:pi,F:name,G:pi]: ((((late_transitions @ (par @ A @ E) @ (late_FreeR @ late_TauR @ (res @ C @ (par @ D @ (subs @ G @ F @ C))))) <= (fresh_name_pi @ C @ E)) <= (late_transitions @ E @ (late_BoundR @ (late_InputS @ B) @ F @ G))) <= (late_transitions @ A @ (late_BoundR @ (late_BoundOutputS @ B) @ C @ D))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_24_Late__Semantics_OClose2)).
64.30/22.36	thf(1073,plain,((! [A:pi,B:name,C:name,D:pi,E:pi,F:name,G:pi]: ((late_transitions @ (par @ A @ E) @ (late_FreeR @ late_TauR @ (res @ C @ (par @ D @ (subs @ G @ F @ C))))) | ~ (fresh_name_pi @ C @ E) | ~ (late_transitions @ E @ (late_BoundR @ (late_InputS @ B) @ F @ G)) | ~ (late_transitions @ A @ (late_BoundR @ (late_BoundOutputS @ B) @ C @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[170])).
64.30/22.36	thf(56,axiom,((! [A:(late_subject > (name > (pi > pi))),B:(late_freeRes > (pi > pi)),C:late_residual,D:pi,E:name]: ((finite_finite_name @ (supp_L729745222i_name @ A)) => ((finite_finite_name @ (supp_L2052723895i_name @ B)) => (((! [F:pi]: ((F = D) <= (late_r1261898622set_pi @ A @ B @ C @ F))) => (((fresh_1438126218_pi_pi @ E @ A) => ((fresh_name_pi @ E @ D) <= (fresh_1011532071_pi_pi @ E @ B))) <= (fresh_81631222sidual @ E @ C))) <= (late_r1261898622set_pi @ A @ B @ C @ D)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_325_residual_Orec__fresh)).
64.30/22.36	thf(582,plain,((! [A:(late_subject > (name > (pi > pi))),B:(late_freeRes > (pi > pi)),C:late_residual,D:pi,E:name]: ((finite_finite_name @ (supp_L729745222i_name @ (A))) => ((finite_finite_name @ (supp_L2052723895i_name @ (B))) => (((! [F:pi]: ((F = D) | ~ (late_r1261898622set_pi @ (A) @ (B) @ C @ F))) => (((fresh_1438126218_pi_pi @ E @ (A)) => ((fresh_name_pi @ E @ D) | ~ (fresh_1011532071_pi_pi @ E @ (B)))) | ~ (fresh_81631222sidual @ E @ C))) | ~ (late_r1261898622set_pi @ (A) @ (B) @ C @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[56])).
64.30/22.36	thf(100,axiom,((! [A:name,B:name,C:pi,D:pi,E:pi]: ((output @ A @ B @ C) != (sum @ D @ E)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_224_pi_Odistinct_I27_J)).
64.30/22.36	thf(762,plain,((! [A:name,B:name,C:pi,D:pi,E:pi]: ~ ((output @ A @ B @ C) = (sum @ D @ E)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[100])).
64.30/22.36	thf(122,axiom,((! [A:name,B:pi]: ((fresh_name_pi @ A @ (tau @ B)) = (fresh_name_pi @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_99_pi_Ofresh_I3_J)).
64.30/22.36	thf(873,plain,((! [A:name,B:pi]: ((fresh_name_pi @ A @ (tau @ B)) = (fresh_name_pi @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[122])).
64.30/22.36	thf(193,axiom,((! [A:pi,B:late_subject,C:name,D:pi,E:pi]: (((late_transitions @ (par @ E @ A) @ (late_BoundR @ B @ C @ (par @ E @ D))) <= (fresh_name_pi @ C @ E)) <= (late_transitions @ A @ (late_BoundR @ B @ C @ D))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_57_Late__Semantics_OPar2B)).
64.30/22.36	thf(1205,plain,((! [A:pi,B:late_subject,C:name,D:pi,E:pi]: ((late_transitions @ (par @ E @ A) @ (late_BoundR @ B @ C @ (par @ E @ D))) | ~ (fresh_name_pi @ C @ E) | ~ (late_transitions @ A @ (late_BoundR @ B @ C @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[193])).
64.30/22.36	thf(124,axiom,((! [A:name,B:name]: ((supp_L1228270395s_name @ (late_OutputR @ A @ B)) = (sup_sup_set_name @ (supp_name_name @ A) @ (supp_name_name @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_347_freeRes_Osupp_I1_J)).
64.30/22.36	thf(878,plain,((! [A:name,B:name]: ((supp_L1228270395s_name @ (late_OutputR @ A @ B)) = (sup_sup_set_name @ (supp_name_name @ A) @ (supp_name_name @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[124])).
64.30/22.36	thf(30,axiom,((! [A:(late_subject > (name > (pi > pi))),B:(late_freeRes > (pi > pi)),C:late_freeRes,D:(pi > $o),E:late_residual]: ((((((! [F:late_freeRes,G:pi]: (D @ (B @ F @ G))) => ((? [F:pi]: ((late_r1261898622set_pi @ A @ B @ E @ F) & ! [G:pi]: ((G = F) <= (late_r1261898622set_pi @ A @ B @ E @ G)))) <= (! [F:late_subject,G:name]: ((((! [H:pi]: ((D @ (A @ F @ G @ H)) => (fresh_name_pi @ G @ (A @ F @ G @ H)))) <= (fresh_1641682979reeRes @ G @ C)) <= (fresh_717452603ubject @ G @ F)) <= (fresh_1438126218_pi_pi @ G @ A))))) <= (! [F:late_subject,G:name,H:pi]: (D @ (A @ F @ G @ H)))) <= (finite_finite_name @ (supp_L1228270395s_name @ C))) <= (finite_finite_name @ (supp_L2052723895i_name @ B))) <= (finite_finite_name @ (supp_L729745222i_name @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_334_residual_Orec__unique)).
64.30/22.36	thf(440,plain,((! [A:(late_subject > (name > (pi > pi))),B:(late_freeRes > (pi > pi)),C:late_freeRes,D:(pi > $o),E:late_residual]: (((! [F:late_freeRes,G:pi]: (D @ (B @ F @ G))) => (? [F:pi]: ((late_r1261898622set_pi @ (A) @ (B) @ E @ F) & ! [G:pi]: ((G = F) | ~ (late_r1261898622set_pi @ (A) @ (B) @ E @ G))) | ~ (! [F:late_subject,G:name]: (! [H:pi]: ((D @ (A @ F @ G @ H)) => (fresh_name_pi @ G @ (A @ F @ G @ H))) | ~ (fresh_1641682979reeRes @ G @ C) | ~ (fresh_717452603ubject @ G @ F) | ~ (fresh_1438126218_pi_pi @ G @ (A)))))) | ~ (! [F:late_subject,G:name,H:pi]: (D @ (A @ F @ G @ H))) | ~ (finite_finite_name @ (supp_L1228270395s_name @ C)) | ~ (finite_finite_name @ (supp_L2052723895i_name @ (B))) | ~ (finite_finite_name @ (supp_L729745222i_name @ (A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[30])).
64.30/22.36	thf(20,axiom,((! [A:pi,B:pi]: ((tau @ A) != (bang @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_208_pi_Odistinct_I47_J)).
64.30/22.36	thf(385,plain,((! [A:pi,B:pi]: ~ ((tau @ A) = (bang @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[20])).
64.30/22.36	thf(210,axiom,((! [A:pi,B:name,C:pi]: ((tau @ A) != (res @ B @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_108_pi_Odistinct_I45_J)).
64.30/22.36	thf(1310,plain,((! [A:pi,B:name,C:pi]: ~ ((tau @ A) = (res @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[210])).
64.30/22.36	thf(42,axiom,((! [A:name,B:name,C:pi,D:name,E:name,F:pi]: ((output @ A @ B @ C) != (input @ D @ E @ F)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_147_pi_Odistinct_I21_J)).
64.30/22.36	thf(500,plain,((! [A:name,B:name,C:pi,D:name,E:name,F:pi]: ~ ((output @ A @ B @ C) = (input @ D @ E @ F)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[42])).
64.30/22.36	thf(107,axiom,((! [A:pi]: (late_bangPred @ A @ (bang @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_238_aux1)).
64.30/22.36	thf(797,plain,((! [A:pi]: (late_bangPred @ A @ (bang @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[107])).
64.30/22.36	thf(296,axiom,((fresh_name_pi @ y @ r2)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_11_cClose2_Ohyps_I11_J)).
64.30/22.36	thf(1872,plain,((fresh_name_pi @ y @ r2)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[296])).
64.30/22.36	thf(285,axiom,((! [A:pi,B:pi,C:late_residual]: (((~ (late_transitions @ A @ C)) => (late_transitions @ B @ C)) <= (late_transitions @ (sum @ A @ B) @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_205_sumCases_H)).
64.30/22.36	thf(1761,plain,((! [A:pi,B:pi,C:late_residual]: (((~ (late_transitions @ A @ C)) => (late_transitions @ B @ C)) | ~ (late_transitions @ (sum @ A @ B) @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[285])).
64.30/22.36	thf(166,axiom,((! [A:(name > (late_residual > $o)),B:name,C:late_residual]: (((A @ B @ C) <= (! [D:late_freeRes,E:pi,F:name]: (A @ F @ (late_FreeR @ D @ E)))) <= (! [D:late_subject,E:name,F:pi,G:name]: ((fresh_name_name @ E @ G) => ((fresh_717452603ubject @ E @ D) => (A @ G @ (late_BoundR @ D @ E @ F)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_44_residual_Ostrong__induct)).
64.30/22.36	thf(1063,plain,((! [A:(name > (late_residual > $o)),B:name,C:late_residual]: ((A @ B @ C) | ~ (! [D:late_freeRes,E:pi,F:name]: (A @ F @ (late_FreeR @ D @ E))) | ~ (! [D:late_subject,E:name,F:pi,G:name]: ((fresh_name_name @ E @ G) => ((fresh_717452603ubject @ E @ D) => (A @ G @ (late_BoundR @ D @ E @ F)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[166])).
64.30/22.36	thf(330,axiom,((! [A:pi,B:late_subject,C:name,D:pi,E:name]: (((fresh_717452603ubject @ E @ B) => (((fresh_name_pi @ C @ A) => ((fresh_717452603ubject @ C @ B) => (late_transitions @ (res @ E @ A) @ (late_BoundR @ B @ C @ (res @ E @ D))))) <= (E != C))) <= (late_transitions @ A @ (late_BoundR @ B @ C @ D))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_94_transitions_OResB)).
64.30/22.36	thf(2042,plain,((! [A:pi,B:late_subject,C:name,D:pi,E:name]: (((fresh_717452603ubject @ E @ B) => (((fresh_name_pi @ C @ A) => ((fresh_717452603ubject @ C @ B) => (late_transitions @ (res @ E @ A) @ (late_BoundR @ B @ C @ (res @ E @ D))))) | (E = C))) | ~ (late_transitions @ A @ (late_BoundR @ B @ C @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[330])).
64.30/22.36	thf(176,axiom,((! [A:pi,B:name,C:name,D:pi,E:pi,F:name,G:pi]: (((((((F != C) => ((fresh_name_pi @ F @ D) => (late_transitions @ (par @ A @ E) @ (late_FreeR @ late_TauR @ (par @ D @ (subs @ G @ F @ C)))))) <= (F != B)) <= (fresh_name_pi @ F @ E)) <= (fresh_name_pi @ F @ A)) <= (late_transitions @ E @ (late_BoundR @ (late_InputS @ B) @ F @ G))) <= (late_transitions @ A @ (late_FreeR @ (late_OutputR @ B @ C) @ D))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_62_transitions_OComm2)).
64.30/22.36	thf(1095,plain,((! [A:pi,B:name,C:name,D:pi,E:pi,F:name,G:pi]: (((~ (F = C)) => ((fresh_name_pi @ F @ D) => (late_transitions @ (par @ A @ E) @ (late_FreeR @ late_TauR @ (par @ D @ (subs @ G @ F @ C)))))) | (F = B) | ~ (fresh_name_pi @ F @ E) | ~ (fresh_name_pi @ F @ A) | ~ (late_transitions @ E @ (late_BoundR @ (late_InputS @ B) @ F @ G)) | ~ (late_transitions @ A @ (late_FreeR @ (late_OutputR @ B @ C) @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[176])).
64.30/22.36	thf(331,axiom,((! [A:(late_freeRes > $o),B:late_freeRes]: (((A @ late_TauR) => (A @ B)) <= (! [C:name,D:name]: (A @ (late_OutputR @ C @ D)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_81_freeRes_Oinducts)).
64.30/22.36	thf(2046,plain,((! [A:(late_freeRes > $o),B:late_freeRes]: (((A @ late_TauR) => (A @ B)) | ~ (! [C:name,D:name]: (A @ (late_OutputR @ C @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[331])).
64.30/22.36	thf(322,axiom,((! [A:name,B:name,C:pi,D:late_residual]: ~ (late_transitions @ (res @ A @ (output @ A @ B @ C)) @ D))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_109_resTrans_I1_J)).
64.30/22.36	thf(2020,plain,((! [A:name,B:name,C:pi,D:late_residual]: ~ (late_transitions @ (res @ A @ (output @ A @ B @ C)) @ D))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[322])).
64.30/22.36	thf(126,axiom,((! [A:(late_subject > (name > (pi > late_subject))),B:(late_freeRes > (pi > late_subject)),C:late_residual,D:late_subject]: (((finite_finite_name @ (supp_L1759672260t_name @ B)) => ((finite_finite_name @ (supp_L1174290467t_name @ D)) <= (late_r689718217ubject @ A @ B @ C @ D))) <= (finite_finite_name @ (supp_L1144036959t_name @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_337_residual_Orec__fin__supp)).
64.30/22.36	thf(885,plain,((! [A:(late_subject > (name > (pi > late_subject))),B:(late_freeRes > (pi > late_subject)),C:late_residual,D:late_subject]: (((finite_finite_name @ (supp_L1759672260t_name @ (B))) => ((finite_finite_name @ (supp_L1174290467t_name @ D)) | ~ (late_r689718217ubject @ (A) @ (B) @ C @ D))) | ~ (finite_finite_name @ (supp_L1144036959t_name @ (A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[126])).
64.30/22.36	thf(29,axiom,((! [A:name,B:name,C:pi,D:pi,E:pi]: ((mismatch @ A @ B @ C) != (sum @ D @ E)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_226_pi_Odistinct_I71_J)).
64.30/22.36	thf(436,plain,((! [A:name,B:name,C:pi,D:pi,E:pi]: ~ ((mismatch @ A @ B @ C) = (sum @ D @ E)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[29])).
64.30/22.36	thf(307,axiom,((! [A:pi,B:late_subject,C:name,D:pi,E:pi]: ((late_transitions @ A @ (late_BoundR @ B @ C @ D)) => (((fresh_name_pi @ C @ E) => ((late_transitions @ (par @ A @ E) @ (late_BoundR @ B @ C @ (par @ D @ E))) <= (fresh_717452603ubject @ C @ B))) <= (fresh_name_pi @ C @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_92_transitions_OPar1B)).
64.30/22.36	thf(1904,plain,((! [A:pi,B:late_subject,C:name,D:pi,E:pi]: ((late_transitions @ A @ (late_BoundR @ B @ C @ D)) => (((fresh_name_pi @ C @ E) => ((late_transitions @ (par @ A @ E) @ (late_BoundR @ B @ C @ (par @ D @ E))) | ~ (fresh_717452603ubject @ C @ B))) | ~ (fresh_name_pi @ C @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[307])).
64.30/22.36	thf(254,axiom,((! [A:name,B:pi,C:late_subject,D:name,E:pi]: ~ (late_transitions @ (res @ A @ (tau @ B)) @ (late_BoundR @ C @ D @ E)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_113_resTauBoundTrans)).
64.30/22.36	thf(1623,plain,((! [A:name,B:pi,C:late_subject,D:name,E:pi]: ~ (late_transitions @ (res @ A @ (tau @ B)) @ (late_BoundR @ C @ D @ E)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[254])).
64.30/22.36	thf(329,axiom,((! [A:pi,B:late_subject,C:name,D:pi,E:pi]: ((late_transitions @ A @ (late_BoundR @ B @ C @ D)) => ((late_transitions @ (par @ A @ E) @ (late_BoundR @ B @ C @ (par @ D @ E))) <= (fresh_name_pi @ C @ E))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_58_Late__Semantics_OPar1B)).
64.30/22.36	thf(2039,plain,((! [A:pi,B:late_subject,C:name,D:pi,E:pi]: ((late_transitions @ A @ (late_BoundR @ B @ C @ D)) => ((late_transitions @ (par @ A @ E) @ (late_BoundR @ B @ C @ (par @ D @ E))) | ~ (fresh_name_pi @ C @ E))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[329])).
64.30/22.36	thf(284,axiom,((late_transitions @ q @ (late_BoundR @ (late_BoundOutputS @ a) @ y @ q2))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_14_cClose2_Ohyps_I1_J)).
64.30/22.36	thf(1760,plain,((late_transitions @ q @ (late_BoundR @ (late_BoundOutputS @ a) @ y @ q2))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[284])).
64.30/22.36	thf(43,axiom,((! [A:(late_subject > (name > (pi > (name > noption_name)))),B:(late_freeRes > (pi > (name > noption_name))),C:late_residual,D:(name > noption_name),E:name]: ((((late_r303715378n_name @ A @ B @ C @ D) => (((fresh_81631222sidual @ E @ C) => (((fresh_1093033124n_name @ E @ D) <= (fresh_808662133n_name @ E @ B)) <= (fresh_62885992n_name @ E @ A))) <= (! [F:(name > noption_name)]: ((late_r303715378n_name @ A @ B @ C @ F) => (F = D))))) <= (finite_finite_name @ (supp_L473926939e_name @ B))) <= (finite_finite_name @ (supp_L14705974e_name @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_320_residual_Orec__fresh)).
64.30/22.36	thf(504,plain,((! [A:(late_subject > (name > (pi > (name > noption_name)))),B:(late_freeRes > (pi > (name > noption_name))),C:late_residual,D:(name > noption_name),E:name]: (((late_r303715378n_name @ (A) @ (B) @ C @ (D)) => (((fresh_81631222sidual @ E @ C) => ((fresh_1093033124n_name @ E @ (D)) | ~ (fresh_808662133n_name @ E @ (B)) | ~ (fresh_62885992n_name @ E @ (A)))) | ~ (! [F:(name > noption_name)]: ((late_r303715378n_name @ (A) @ (B) @ C @ (F)) => ((F) = (D)))))) | ~ (finite_finite_name @ (supp_L473926939e_name @ (B))) | ~ (finite_finite_name @ (supp_L14705974e_name @ (A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[43])).
64.30/22.36	thf(308,axiom,((! [A:name,B:pi,C:late_freeRes,D:pi,E:(pi > $o)]: (((E @ D) <= (! [F:pi]: ((late_transitions @ B @ (late_FreeR @ C @ F)) => ((fresh_1641682979reeRes @ A @ C) => (E @ (res @ A @ F)))))) <= (late_transitions @ (res @ A @ B) @ (late_FreeR @ C @ D))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_84_resCasesF)).
64.30/22.36	thf(1907,plain,((! [A:name,B:pi,C:late_freeRes,D:pi,E:(pi > $o)]: ((E @ D) | ~ (! [F:pi]: ((late_transitions @ B @ (late_FreeR @ C @ F)) => ((fresh_1641682979reeRes @ A @ C) => (E @ (res @ A @ F))))) | ~ (late_transitions @ (res @ A @ B) @ (late_FreeR @ C @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[308])).
64.30/22.36	thf(213,axiom,((! [A:pi,B:pi,C:(pi > (pi > $o))]: ((((! [D:pi]: (C @ D @ (par @ D @ (bang @ D)))) => (C @ A @ B)) <= (! [D:pi]: (C @ D @ (bang @ D)))) <= (late_bangPred @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_239_bangPred_Oinducts)).
64.30/22.36	thf(1330,plain,((! [A:pi,B:pi,C:(pi > (pi > $o))]: (((! [D:pi]: (C @ D @ (par @ D @ (bang @ D)))) => (C @ A @ B)) | ~ (! [D:pi]: (C @ D @ (bang @ D))) | ~ (late_bangPred @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[213])).
64.30/22.36	thf(57,axiom,((! [A:(late_subject > (name > (pi > pi))),B:(late_freeRes > (pi > pi)),C:late_subject,D:(pi > $o),E:name,F:late_subject,G:pi]: ((finite_finite_name @ (supp_L729745222i_name @ A)) => ((((((((fresh_1011532071_pi_pi @ E @ B) => (((late_residual_rec_pi @ A @ B @ (late_BoundR @ F @ E @ G)) = (A @ F @ E @ G)) <= (fresh_717452603ubject @ E @ F))) <= (fresh_1438126218_pi_pi @ E @ A)) <= (! [H:late_subject,I:name,J:pi]: ((((fresh_717452603ubject @ I @ C) => ((fresh_name_pi @ I @ (A @ H @ I @ J)) <= (D @ (A @ H @ I @ J)))) <= (fresh_717452603ubject @ I @ H)) <= (fresh_1438126218_pi_pi @ I @ A)))) <= (! [H:late_freeRes,I:pi]: (D @ (B @ H @ I)))) <= (! [H:late_subject,I:name,J:pi]: (D @ (A @ H @ I @ J)))) <= (finite_finite_name @ (supp_L1174290467t_name @ C))) <= (finite_finite_name @ (supp_L2052723895i_name @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_313_residual_Orecs_I1_J)).
64.30/22.36	thf(587,plain,((! [A:(late_subject > (name > (pi > pi))),B:(late_freeRes > (pi > pi)),C:late_subject,D:(pi > $o),E:name,F:late_subject,G:pi]: ((finite_finite_name @ (supp_L729745222i_name @ (A))) => (((fresh_1011532071_pi_pi @ E @ (B)) => (((late_residual_rec_pi @ (A) @ (B) @ (late_BoundR @ F @ E @ G)) = (A @ F @ E @ G)) | ~ (fresh_717452603ubject @ E @ F))) | ~ (fresh_1438126218_pi_pi @ E @ (A)) | ~ (! [H:late_subject,I:name,J:pi]: (((fresh_717452603ubject @ I @ C) => ((fresh_name_pi @ I @ (A @ H @ I @ J)) | ~ (D @ (A @ H @ I @ J)))) | ~ (fresh_717452603ubject @ I @ H) | ~ (fresh_1438126218_pi_pi @ I @ (A)))) | ~ (! [H:late_freeRes,I:pi]: (D @ (B @ H @ I))) | ~ (! [H:late_subject,I:name,J:pi]: (D @ (A @ H @ I @ J))) | ~ (finite_finite_name @ (supp_L1174290467t_name @ C)) | ~ (finite_finite_name @ (supp_L2052723895i_name @ (B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[57])).
64.30/22.36	thf(165,axiom,((! [A:pi,B:late_residual]: ((late_transitions @ (bang @ A) @ B) => (~ (! [C:pi]: ((~ (late_transitions @ (par @ C @ (bang @ C)) @ B)) <= ((bang @ A) = (bang @ C)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_232_bangCases)).
64.30/22.36	thf(1059,plain,((! [A:pi,B:late_residual]: ((late_transitions @ (bang @ A) @ B) => (~ (! [C:pi]: (~ (late_transitions @ (par @ C @ (bang @ C)) @ B) | ~ ((bang @ A) = (bang @ C)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[165])).
64.30/22.36	thf(21,axiom,((! [A:name]: ((supp_L1174290467t_name @ (late_InputS @ A)) = (supp_name_name @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_294_subject_Osupp_I1_J)).
64.30/22.36	thf(389,plain,((! [A:name]: ((supp_L1174290467t_name @ (late_InputS @ A)) = (supp_name_name @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[21])).
64.30/22.36	thf(256,axiom,((! [A:name,B:pi,C:late_freeRes,D:pi]: ((late_transitions @ (res @ A @ B) @ (late_FreeR @ C @ D)) => (~ (! [E:pi,F:late_freeRes,G:pi,H:name]: ((((~ (fresh_1641682979reeRes @ H @ F)) <= (late_transitions @ E @ (late_FreeR @ F @ G))) <= ((late_FreeR @ C @ D) = (late_FreeR @ F @ (res @ H @ G)))) <= ((res @ A @ B) = (res @ H @ E)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_85_resCasesF_H)).
64.30/22.36	thf(1628,plain,((! [A:name,B:pi,C:late_freeRes,D:pi]: ((late_transitions @ (res @ A @ B) @ (late_FreeR @ C @ D)) => (~ (! [E:pi,F:late_freeRes,G:pi,H:name]: (~ (fresh_1641682979reeRes @ H @ F) | ~ (late_transitions @ E @ (late_FreeR @ F @ G)) | ~ ((late_FreeR @ C @ D) = (late_FreeR @ F @ (res @ H @ G))) | ~ ((res @ A @ B) = (res @ H @ E)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[256])).
64.30/22.36	thf(133,axiom,((! [A:name,B:name]: (((late_BoundOutputS @ A) = (late_BoundOutputS @ B)) = (A = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_65_Late__Semantics1_Osubject_Oinject_I2_J)).
64.30/22.36	thf(917,plain,((! [A:name,B:name]: (((late_BoundOutputS @ A) = (late_BoundOutputS @ B)) = (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[133])).
64.30/22.36	thf(84,axiom,((! [A:pi]: (finite_finite_name @ (supp_pi_name @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_299_fs__name1)).
64.30/22.36	thf(702,plain,((! [A:pi]: (finite_finite_name @ (supp_pi_name @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[84])).
64.30/22.36	thf(109,axiom,((! [A:(late_subject > (name > (pi > name))),B:(late_freeRes > (pi > name)),C:late_freeRes,D:(name > $o),E:late_residual]: (((finite_finite_name @ (supp_L926407557e_name @ B)) => ((finite_finite_name @ (supp_L1228270395s_name @ C)) => (((! [F:late_freeRes,G:pi]: (D @ (B @ F @ G))) => ((? [F:name]: (! [G:name]: ((late_r1742481968t_name @ A @ B @ E @ G) => (G = F)) & (late_r1742481968t_name @ A @ B @ E @ F))) <= (! [F:late_subject,G:name]: ((fresh_621211324i_name @ G @ A) => ((fresh_717452603ubject @ G @ F) => ((fresh_1641682979reeRes @ G @ C) => (! [H:pi]: ((fresh_name_name @ G @ (A @ F @ G @ H)) <= (D @ (A @ F @ G @ H)))))))))) <= (! [F:late_subject,G:name,H:pi]: (D @ (A @ F @ G @ H)))))) <= (finite_finite_name @ (supp_L538372628e_name @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_333_residual_Orec__unique)).
64.30/22.36	thf(802,plain,((! [A:(late_subject > (name > (pi > name))),B:(late_freeRes > (pi > name)),C:late_freeRes,D:(name > $o),E:late_residual]: (((finite_finite_name @ (supp_L926407557e_name @ (B))) => ((finite_finite_name @ (supp_L1228270395s_name @ C)) => (((! [F:late_freeRes,G:pi]: (D @ (B @ F @ G))) => (? [F:name]: (! [G:name]: ((late_r1742481968t_name @ (A) @ (B) @ E @ G) => (G = F)) & (late_r1742481968t_name @ (A) @ (B) @ E @ F)) | ~ (! [F:late_subject,G:name]: ((fresh_621211324i_name @ G @ (A)) => ((fresh_717452603ubject @ G @ F) => ((fresh_1641682979reeRes @ G @ C) => (! [H:pi]: ((fresh_name_name @ G @ (A @ F @ G @ H)) | ~ (D @ (A @ F @ G @ H)))))))))) | ~ (! [F:late_subject,G:name,H:pi]: (D @ (A @ F @ G @ H)))))) | ~ (finite_finite_name @ (supp_L538372628e_name @ (A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[109])).
64.30/22.36	thf(5,axiom,((! [A:name,B:(name > noption_pi),C:(name > noption_pi)]: (((abs_fu1614711987ion_pi @ A @ B) = (abs_fu1614711987ion_pi @ A @ C)) = (B = C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_183_abs__fun__eq1)).
64.30/22.36	thf(344,plain,((! [A:name,B:(name > noption_pi),C:(name > noption_pi)]: (((abs_fu1614711987ion_pi @ A @ B) = (abs_fu1614711987ion_pi @ A @ C)) = ((B) = (C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[5])).
64.30/22.36	thf(156,axiom,((! [A:late_subject]: ((? [B:name]: (fresh_717452603ubject @ B @ A)) <= (finite_finite_name @ (supp_L1174290467t_name @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_261_exists__fresh_H)).
64.30/22.36	thf(1013,plain,((! [A:late_subject]: (? [B:name]: (fresh_717452603ubject @ B @ A) | ~ (finite_finite_name @ (supp_L1174290467t_name @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[156])).
64.30/22.36	thf(259,axiom,((! [A:pi,B:late_freeRes,C:pi,D:name]: ((late_transitions @ A @ (late_FreeR @ B @ C)) => ((fresh_name_pi @ D @ A) => (fresh_name_pi @ D @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_60_freshFreeDerivative_I2_J)).
64.30/22.36	thf(1641,plain,((! [A:pi,B:late_freeRes,C:pi,D:name]: ((late_transitions @ A @ (late_FreeR @ B @ C)) => ((fresh_name_pi @ D @ A) => (fresh_name_pi @ D @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[259])).
64.30/22.36	thf(273,axiom,((! [A:name,B:name,C:pi,D:name,E:pi]: ((mismatch @ A @ B @ C) != (res @ D @ E)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_173_pi_Odistinct_I75_J)).
64.30/22.36	thf(1704,plain,((! [A:name,B:name,C:pi,D:name,E:pi]: ~ ((mismatch @ A @ B @ C) = (res @ D @ E)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[273])).
64.30/22.36	thf(27,axiom,((! [A:(late_subject > (name > (pi > late_freeRes))),B:(late_freeRes > (pi > late_freeRes)),C:late_freeRes,D:(late_freeRes > $o),E:name,F:late_subject,G:pi]: (((finite_finite_name @ (supp_L381160156s_name @ B)) => (((((((fresh_256112244reeRes @ E @ B) => ((fresh_717452603ubject @ E @ F) => ((late_r124702629reeRes @ A @ B @ (late_BoundR @ F @ E @ G)) = (A @ F @ E @ G)))) <= (fresh_660367079reeRes @ E @ A)) <= (! [H:late_subject,I:name,J:pi]: ((((fresh_1641682979reeRes @ I @ C) => ((fresh_1641682979reeRes @ I @ (A @ H @ I @ J)) <= (D @ (A @ H @ I @ J)))) <= (fresh_717452603ubject @ I @ H)) <= (fresh_660367079reeRes @ I @ A)))) <= (! [H:late_freeRes,I:pi]: (D @ (B @ H @ I)))) <= (! [H:late_subject,I:name,J:pi]: (D @ (A @ H @ I @ J)))) <= (finite_finite_name @ (supp_L1228270395s_name @ C)))) <= (finite_finite_name @ (supp_L1178477943s_name @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_315_residual_Orecs_I1_J)).
64.30/22.36	thf(421,plain,((! [A:(late_subject > (name > (pi > late_freeRes))),B:(late_freeRes > (pi > late_freeRes)),C:late_freeRes,D:(late_freeRes > $o),E:name,F:late_subject,G:pi]: (((finite_finite_name @ (supp_L381160156s_name @ (B))) => (((fresh_256112244reeRes @ E @ (B)) => ((fresh_717452603ubject @ E @ F) => ((late_r124702629reeRes @ (A) @ (B) @ (late_BoundR @ F @ E @ G)) = (A @ F @ E @ G)))) | ~ (fresh_660367079reeRes @ E @ (A)) | ~ (! [H:late_subject,I:name,J:pi]: (((fresh_1641682979reeRes @ I @ C) => ((fresh_1641682979reeRes @ I @ (A @ H @ I @ J)) | ~ (D @ (A @ H @ I @ J)))) | ~ (fresh_717452603ubject @ I @ H) | ~ (fresh_660367079reeRes @ I @ (A)))) | ~ (! [H:late_freeRes,I:pi]: (D @ (B @ H @ I))) | ~ (! [H:late_subject,I:name,J:pi]: (D @ (A @ H @ I @ J))) | ~ (finite_finite_name @ (supp_L1228270395s_name @ C)))) | ~ (finite_finite_name @ (supp_L1178477943s_name @ (A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[27])).
64.30/22.36	thf(121,axiom,((! [A:(late_freeRes > (pi > late_freeRes))]: ((finite_finite_name @ (supp_L381160156s_name @ A)) => (~ (! [B:name]: ~ (fresh_256112244reeRes @ B @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_260_exists__fresh)).
64.30/22.36	thf(870,plain,((! [A:(late_freeRes > (pi > late_freeRes))]: ((finite_finite_name @ (supp_L381160156s_name @ (A))) => (~ (! [B:name]: ~ (fresh_256112244reeRes @ B @ (A))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[121])).
64.30/22.36	thf(303,axiom,((! [A:pi,B:late_freeRes,C:pi,D:(late_freeRes > (pi > $o))]: ((late_transitions @ (tau @ A) @ (late_FreeR @ B @ C)) => ((((A = C) => (D @ late_TauR @ A)) <= (B = late_TauR)) => (D @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_122_tauCases)).
64.30/22.36	thf(1890,plain,((! [A:pi,B:late_freeRes,C:pi,D:(late_freeRes > (pi > $o))]: ((late_transitions @ (tau @ A) @ (late_FreeR @ B @ C)) => ((((A = C) => (D @ late_TauR @ A)) | ~ (B = late_TauR)) => (D @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[303])).
64.30/22.36	thf(280,axiom,((! [A:pi,B:pi]: (piNil != (par @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_220_pi_Odistinct_I13_J)).
64.30/22.36	thf(1741,plain,((! [A:pi,B:pi]: ~ (piNil = (par @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[280])).
64.30/22.36	thf(222,axiom,((late_bangPred = (^ [A:pi,B:pi]: (? [C:pi]: ((A = C) & (B = (bang @ C))) | ? [C:pi]: ((B = (par @ C @ (bang @ C))) & (A = C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_237_bangPred_Osimps)).
64.30/22.36	thf(1398,plain,(((late_bangPred) = (^ [A:pi,B:pi]: (? [C:pi]: ((A = C) & (B = (bang @ C))) | ? [C:pi]: ((B = (par @ C @ (bang @ C))) & (A = C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[222])).
64.30/22.36	thf(125,axiom,((! [A:name,B:name,C:pi,D:pi]: ((input @ A @ B @ C) != (bang @ D)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_199_pi_Odistinct_I59_J)).
64.30/22.36	thf(881,plain,((! [A:name,B:name,C:pi,D:pi]: ~ ((input @ A @ B @ C) = (bang @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[125])).
64.30/22.36	thf(25,axiom,((fresh_717452603ubject = (^ [A:name,B:late_subject]: ~ (member_name @ A @ (supp_L1174290467t_name @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_281_fresh__def)).
64.30/22.36	thf(416,plain,(((fresh_717452603ubject) = (^ [A:name,B:late_subject]: ~ (member_name @ A @ (supp_L1174290467t_name @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[25])).
64.30/22.36	thf(225,axiom,((! [A:name,B:pi,C:pi]: ((res @ A @ B) != (bang @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_202_pi_Odistinct_I89_J)).
64.30/22.36	thf(1415,plain,((! [A:name,B:pi,C:pi]: ~ ((res @ A @ B) = (bang @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[225])).
64.30/22.36	thf(317,axiom,((late_transitions @ r @ (late_BoundR @ (late_InputS @ a) @ x @ r2))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_12_cClose2_Ohyps_I2_J)).
64.30/22.36	thf(1946,plain,((late_transitions @ r @ (late_BoundR @ (late_InputS @ a) @ x @ r2))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[317])).
64.30/22.36	thf(290,axiom,((! [A:name,B:pi,C:name,D:pi]: (((res @ A @ B) = (res @ C @ D)) = ((abs_fun_name_pi @ A @ B) = (abs_fun_name_pi @ C @ D))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_135_pi_Oinject_I8_J)).
64.30/22.36	thf(1811,plain,((! [A:name,B:pi,C:name,D:pi]: (((res @ A @ B) = (res @ C @ D)) = ((abs_fun_name_pi @ A @ B) = (abs_fun_name_pi @ C @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[290])).
64.30/22.36	thf(162,axiom,((! [A:late_freeRes]: ((finite_finite_name @ (supp_L1228270395s_name @ A)) => (~ (! [B:name]: ~ (fresh_1641682979reeRes @ B @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_252_exists__fresh)).
64.30/22.36	thf(1040,plain,((! [A:late_freeRes]: ((finite_finite_name @ (supp_L1228270395s_name @ A)) => (~ (! [B:name]: ~ (fresh_1641682979reeRes @ B @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[162])).
64.30/22.36	thf(186,axiom,((! [A:(late_subject > (pi > $o)),B:late_subject,C:pi]: ((! [D:late_subject]: (A @ D @ piNil)) => ((((((((! [D:pi,E:pi,F:late_subject]: (((A @ F @ (par @ D @ E)) <= (! [G:late_subject]: (A @ G @ E))) <= (! [G:late_subject]: (A @ G @ D)))) => ((! [D:name,E:pi,F:late_subject]: ((fresh_717452603ubject @ D @ F) => ((A @ F @ (res @ D @ E)) <= (! [G:late_subject]: (A @ G @ E))))) => ((! [D:pi,E:late_subject]: ((! [F:late_subject]: (A @ F @ D)) => (A @ E @ (bang @ D)))) => (A @ B @ C)))) <= (! [D:pi,E:pi,F:late_subject]: (((! [G:late_subject]: (A @ G @ E)) => (A @ F @ (sum @ D @ E))) <= (! [G:late_subject]: (A @ G @ D))))) <= (! [D:name,E:name,F:pi,G:late_subject]: ((A @ G @ (mismatch @ D @ E @ F)) <= (! [H:late_subject]: (A @ H @ F))))) <= (! [D:name,E:name,F:pi,G:late_subject]: ((A @ G @ (match @ D @ E @ F)) <= (! [H:late_subject]: (A @ H @ F))))) <= (! [D:name,E:name,F:pi,G:late_subject]: ((((A @ G @ (input @ D @ E @ F)) <= (! [H:late_subject]: (A @ H @ F))) <= (fresh_name_name @ E @ D)) <= (fresh_717452603ubject @ E @ G)))) <= (! [D:pi,E:late_subject]: ((A @ E @ (tau @ D)) <= (! [F:late_subject]: (A @ F @ D))))) <= (! [D:name,E:name,F:pi,G:late_subject]: ((A @ G @ (output @ D @ E @ F)) <= (! [H:late_subject]: (A @ H @ F)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_189_pi_Ostrong__induct)).
64.30/22.36	thf(1136,plain,((! [A:(late_subject > (pi > $o)),B:late_subject,C:pi]: ((! [D:late_subject]: (A @ D @ piNil)) => (((! [D:pi,E:pi,F:late_subject]: ((A @ F @ (par @ D @ E)) | ~ (! [G:late_subject]: (A @ G @ E)) | ~ (! [G:late_subject]: (A @ G @ D)))) => ((! [D:name,E:pi,F:late_subject]: ((fresh_717452603ubject @ D @ F) => ((A @ F @ (res @ D @ E)) | ~ (! [G:late_subject]: (A @ G @ E))))) => ((! [D:pi,E:late_subject]: ((! [F:late_subject]: (A @ F @ D)) => (A @ E @ (bang @ D)))) => (A @ B @ C)))) | ~ (! [D:pi,E:pi,F:late_subject]: (((! [G:late_subject]: (A @ G @ E)) => (A @ F @ (sum @ D @ E))) | ~ (! [G:late_subject]: (A @ G @ D)))) | ~ (! [D:name,E:name,F:pi,G:late_subject]: ((A @ G @ (mismatch @ D @ E @ F)) | ~ (! [H:late_subject]: (A @ H @ F)))) | ~ (! [D:name,E:name,F:pi,G:late_subject]: ((A @ G @ (match @ D @ E @ F)) | ~ (! [H:late_subject]: (A @ H @ F)))) | ~ (! [D:name,E:name,F:pi,G:late_subject]: ((A @ G @ (input @ D @ E @ F)) | ~ (! [H:late_subject]: (A @ H @ F)) | ~ (fresh_name_name @ E @ D) | ~ (fresh_717452603ubject @ E @ G))) | ~ (! [D:pi,E:late_subject]: ((A @ E @ (tau @ D)) | ~ (! [F:late_subject]: (A @ F @ D)))) | ~ (! [D:name,E:name,F:pi,G:late_subject]: ((A @ G @ (output @ D @ E @ F)) | ~ (! [H:late_subject]: (A @ H @ F)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[186])).
64.30/22.36	thf(140,axiom,((! [A:(late_freeRes > (pi > late_subject))]: ((? [B:name]: (fresh_198785932ubject @ B @ A)) <= (finite_finite_name @ (supp_L1759672260t_name @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_269_exists__fresh_H)).
64.30/22.36	thf(937,plain,((! [A:(late_freeRes > (pi > late_subject))]: (? [B:name]: (fresh_198785932ubject @ B @ (A)) | ~ (finite_finite_name @ (supp_L1759672260t_name @ (A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[140])).
64.30/22.36	thf(265,axiom,((! [A:pi,B:late_residual,C:pi]: ((late_transitions @ (sum @ C @ A) @ B) <= (late_transitions @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_207_Sum2)).
64.30/22.36	thf(1677,plain,((! [A:pi,B:late_residual,C:pi]: ((late_transitions @ (sum @ C @ A) @ B) | ~ (late_transitions @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[265])).
64.30/22.36	thf(8,axiom,((fresh_256112244reeRes = (^ [A:name,B:(late_freeRes > (pi > late_freeRes))]: ~ (member_name @ A @ (supp_L381160156s_name @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_290_fresh__def)).
64.30/22.36	thf(353,plain,(((fresh_256112244reeRes) = (^ [A:name,B:(late_freeRes > (pi > late_freeRes))]: ~ (member_name @ A @ (supp_L381160156s_name @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[8])).
64.30/22.36	thf(334,axiom,((! [A:name,B:name,C:name,D:pi,E:late_freeRes,F:pi]: ~ (late_transitions @ (res @ A @ (input @ B @ C @ D)) @ (late_FreeR @ E @ F)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_152_resInputFreeTrans)).
64.30/22.36	thf(2058,plain,((! [A:name,B:name,C:name,D:pi,E:late_freeRes,F:pi]: ~ (late_transitions @ (res @ A @ (input @ B @ C @ D)) @ (late_FreeR @ E @ F)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[334])).
64.30/22.36	thf(301,axiom,((! [A:pi,B:name]: ((subs @ A @ B @ B) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_21_subst__identity)).
64.30/22.36	thf(1886,plain,((! [A:pi,B:name]: ((subs @ A @ B @ B) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[301])).
64.30/22.36	thf(104,axiom,((! [A:pi,B:pi]: (((tau @ A) = (tau @ B)) = (A = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_104_pi_Oinject_I2_J)).
64.30/22.36	thf(774,plain,((! [A:pi,B:pi]: (((tau @ A) = (tau @ B)) = (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[104])).
64.30/22.36	thf(221,axiom,((! [A:name,B:name,C:pi,D:late_residual]: ((late_transitions @ (match @ A @ B @ C) @ D) => (A = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_168_matchTrans)).
64.30/22.36	thf(1394,plain,((! [A:name,B:name,C:pi,D:late_residual]: ((late_transitions @ (match @ A @ B @ C) @ D) => (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[221])).
64.30/22.36	thf(151,axiom,((! [A:name,B:pi]: ((fresh_name_pi @ A @ (bang @ B)) = (fresh_name_pi @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_193_pi_Ofresh_I10_J)).
64.30/22.36	thf(988,plain,((! [A:name,B:pi]: ((fresh_name_pi @ A @ (bang @ B)) = (fresh_name_pi @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[151])).
64.30/22.36	thf(316,axiom,((! [A:pi,B:late_freeRes,C:pi,D:name]: ((late_transitions @ A @ (late_FreeR @ B @ C)) => ((late_transitions @ (res @ D @ A) @ (late_FreeR @ B @ (res @ D @ C))) <= (fresh_1641682979reeRes @ D @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_86_ResF)).
64.30/22.36	thf(1943,plain,((! [A:pi,B:late_freeRes,C:pi,D:name]: ((late_transitions @ A @ (late_FreeR @ B @ C)) => ((late_transitions @ (res @ D @ A) @ (late_FreeR @ B @ (res @ D @ C))) | ~ (fresh_1641682979reeRes @ D @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[316])).
64.30/22.36	thf(233,axiom,((late_transitions @ (par @ p @ (par @ q @ r)) @ (late_FreeR @ alpha @ pqr))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_16_Free_Ohyps)).
64.30/22.36	thf(1521,plain,((late_transitions @ (par @ p @ (par @ q @ r)) @ (late_FreeR @ alpha @ pqr))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[233])).
64.30/22.36	thf(59,axiom,((subst_name = (^ [A:name,B:name,C:name]: (if_name @ (A = B) @ C @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_134_subst__name__def)).
64.30/22.36	thf(602,plain,(((subst_name) = (^ [A:name,B:name,C:name]: (if_name @ (A = B) @ C @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[59])).
64.30/22.36	thf(101,axiom,((! [A:name,B:name,C:name,D:name]: (((late_OutputR @ A @ B) = (late_OutputR @ C @ D)) = ((B = D) & (A = C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_72_Late__Semantics_OfreeRes_Oinject)).
64.30/22.36	thf(766,plain,((! [A:name,B:name,C:name,D:name]: (((late_OutputR @ A @ B) = (late_OutputR @ C @ D)) = ((B = D) & (A = C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[101])).
64.30/22.36	thf(134,axiom,((! [A:name,B:name,C:pi,D:name,E:name,F:pi]: (((match @ A @ B @ C) = (match @ D @ E @ F)) = ((C = F) & (B = E) & (A = D))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_160_pi_Oinject_I4_J)).
64.30/22.36	thf(920,plain,((! [A:name,B:name,C:pi,D:name,E:name,F:pi]: (((match @ A @ B @ C) = (match @ D @ E @ F)) = ((C = F) & (B = E) & (A = D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[134])).
64.30/22.36	thf(18,axiom,((supp_L1759672260t_name = (^ [A:(late_freeRes > (pi > late_subject))]: (collect_name @ (^ [B:name]: ~ (fresh_198785932ubject @ B @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_279_supp__fresh__iff)).
64.30/22.36	thf(380,plain,(((supp_L1759672260t_name) = (^ [A:(late_freeRes > (pi > late_subject))]: (collect_name @ (^ [B:name]: ~ (fresh_198785932ubject @ B @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[18])).
64.30/22.36	thf(269,axiom,((! [A:name,B:name,C:name,D:pi]: ((A != B) => ((A != C) => ((subs @ (res @ A @ D) @ B @ C) = (res @ A @ (subs @ D @ B @ C))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_17_simps_I9_J)).
64.30/22.36	thf(1691,plain,((! [A:name,B:name,C:name,D:pi]: ((~ (A = B)) => ((~ (A = C)) => ((subs @ (res @ A @ D) @ B @ C) = (res @ A @ (subs @ D @ B @ C))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[269])).
64.30/22.36	thf(74,axiom,((! [A:name,B:name,C:pi,D:name,E:name,F:pi]: (((mismatch @ A @ B @ C) = (mismatch @ D @ E @ F)) = ((A = D) & (B = E) & (C = F))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_161_pi_Oinject_I5_J)).
64.30/22.36	thf(661,plain,((! [A:name,B:name,C:pi,D:name,E:name,F:pi]: (((mismatch @ A @ B @ C) = (mismatch @ D @ E @ F)) = ((A = D) & (B = E) & (C = F))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[74])).
64.30/22.36	thf(335,axiom,((fresh_name_pi @ x @ p)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8_cClose2_Ohyps_I12_J)).
64.30/22.36	thf(2061,plain,((fresh_name_pi @ x @ p)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[335])).
64.30/22.36	thf(310,axiom,((! [A:(late_subject > (late_residual > $o)),B:late_subject,C:late_residual]: (((! [D:late_freeRes,E:pi,F:late_subject]: (A @ F @ (late_FreeR @ D @ E))) => (A @ B @ C)) <= (! [D:late_subject,E:name,F:pi,G:late_subject]: ((fresh_717452603ubject @ E @ G) => ((fresh_717452603ubject @ E @ D) => (A @ G @ (late_BoundR @ D @ E @ F)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_38_residual_Ostrong__inducts)).
64.30/22.36	thf(1915,plain,((! [A:(late_subject > (late_residual > $o)),B:late_subject,C:late_residual]: (((! [D:late_freeRes,E:pi,F:late_subject]: (A @ F @ (late_FreeR @ D @ E))) => (A @ B @ C)) | ~ (! [D:late_subject,E:name,F:pi,G:late_subject]: ((fresh_717452603ubject @ E @ G) => ((fresh_717452603ubject @ E @ D) => (A @ G @ (late_BoundR @ D @ E @ F)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[310])).
64.30/22.36	thf(274,axiom,((! [A:name,B:pi,C:name,D:name]: (((subs @ (subs @ B @ C @ A) @ A @ D) = (subs @ B @ C @ D)) <= (fresh_name_pi @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_31_substTrans)).
64.30/22.36	thf(1708,plain,((! [A:name,B:pi,C:name,D:name]: (((subs @ (subs @ B @ C @ A) @ A @ D) = (subs @ B @ C @ D)) | ~ (fresh_name_pi @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[274])).
64.30/22.36	thf(164,axiom,((! [A:(late_subject > (name > (pi > late_subject))),B:(late_freeRes > (pi > late_subject)),C:name,D:(late_subject > $o),E:late_freeRes,F:pi]: ((finite_finite_name @ (supp_L1144036959t_name @ A)) => (((finite_finite_name @ (supp_name_name @ C)) => (((! [G:late_freeRes,H:pi]: (D @ (B @ G @ H))) => (((late_r1347955901ubject @ A @ B @ (late_FreeR @ E @ F)) = (B @ E @ F)) <= (! [G:late_subject,H:name,I:pi]: ((((fresh_name_name @ H @ C) => ((fresh_717452603ubject @ H @ (A @ G @ H @ I)) <= (D @ (A @ G @ H @ I)))) <= (fresh_717452603ubject @ H @ G)) <= (fresh_795910143ubject @ H @ A))))) <= (! [G:late_subject,H:name,I:pi]: (D @ (A @ G @ H @ I))))) <= (finite_finite_name @ (supp_L1759672260t_name @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_308_residual_Orecs_I2_J)).
64.30/22.36	thf(1047,plain,((! [A:(late_subject > (name > (pi > late_subject))),B:(late_freeRes > (pi > late_subject)),C:name,D:(late_subject > $o),E:late_freeRes,F:pi]: ((finite_finite_name @ (supp_L1144036959t_name @ (A))) => (((finite_finite_name @ (supp_name_name @ C)) => (((! [G:late_freeRes,H:pi]: (D @ (B @ G @ H))) => (((late_r1347955901ubject @ (A) @ (B) @ (late_FreeR @ E @ F)) = (B @ E @ F)) | ~ (! [G:late_subject,H:name,I:pi]: (((fresh_name_name @ H @ C) => ((fresh_717452603ubject @ H @ (A @ G @ H @ I)) | ~ (D @ (A @ G @ H @ I)))) | ~ (fresh_717452603ubject @ H @ G) | ~ (fresh_795910143ubject @ H @ (A)))))) | ~ (! [G:late_subject,H:name,I:pi]: (D @ (A @ G @ H @ I))))) | ~ (finite_finite_name @ (supp_L1759672260t_name @ (B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[164])).
64.30/22.36	thf(277,axiom,((! [A:name,B:name]: ((late_OutputR @ A @ B) != late_TauR))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_80_Late__Semantics_OfreeRes_Odistinct_I1_J)).
64.30/22.36	thf(1730,plain,((! [A:name,B:name]: ~ ((late_OutputR @ A @ B) = late_TauR))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[277])).
64.30/22.36	thf(131,axiom,((! [A:pi,B:pi,C:pi]: ((tau @ A) != (sum @ B @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_223_pi_Odistinct_I41_J)).
64.30/22.36	thf(910,plain,((! [A:pi,B:pi,C:pi]: ~ ((tau @ A) = (sum @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[131])).
64.30/22.36	thf(175,axiom,((! [A:name,B:name,C:name,D:name,E:pi]: ((A != B) => (((A != D) => ((subs @ (input @ B @ A @ E) @ C @ D) = (input @ (subst_name @ B @ C @ D) @ A @ (subs @ E @ C @ D)))) <= (A != C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_130_simps_I4_J)).
64.30/22.36	thf(1091,plain,((! [A:name,B:name,C:name,D:name,E:pi]: ((~ (A = B)) => (((~ (A = D)) => ((subs @ (input @ B @ A @ E) @ C @ D) = (input @ (subst_name @ B @ C @ D) @ A @ (subs @ E @ C @ D)))) | (A = C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[175])).
64.30/22.36	thf(198,axiom,((! [A:pi,B:late_freeRes,C:pi,D:name]: ((late_transitions @ A @ (late_FreeR @ B @ C)) => ((fresh_name_pi @ D @ A) => (fresh_1641682979reeRes @ D @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_88_freshFreeDerivative_I1_J)).
64.30/22.36	thf(1255,plain,((! [A:pi,B:late_freeRes,C:pi,D:name]: ((late_transitions @ A @ (late_FreeR @ B @ C)) => ((fresh_name_pi @ D @ A) => (fresh_1641682979reeRes @ D @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[198])).
64.30/22.36	thf(119,axiom,((! [A:(late_freeRes > (pi > late_subject))]: ((finite_finite_name @ (supp_L1759672260t_name @ A)) => (~ (! [B:name]: ~ (fresh_198785932ubject @ B @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_259_exists__fresh)).
64.30/22.36	thf(862,plain,((! [A:(late_freeRes > (pi > late_subject))]: ((finite_finite_name @ (supp_L1759672260t_name @ (A))) => (~ (! [B:name]: ~ (fresh_198785932ubject @ B @ (A))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[119])).
64.30/22.36	thf(22,axiom,((! [A:(late_subject > (name > (pi > late_freeRes))),B:(late_freeRes > (pi > late_freeRes)),C:late_subject,D:(late_freeRes > $o),E:late_residual]: (((((! [F:late_subject,G:name,H:pi]: (D @ (A @ F @ G @ H))) => (((! [F:late_subject,G:name]: ((fresh_660367079reeRes @ G @ A) => (((fresh_717452603ubject @ G @ C) => (! [H:pi]: ((fresh_1641682979reeRes @ G @ (A @ F @ G @ H)) <= (D @ (A @ F @ G @ H))))) <= (fresh_717452603ubject @ G @ F)))) => (? [F:late_freeRes]: (! [G:late_freeRes]: ((G = F) <= (late_r1613948593reeRes @ A @ B @ E @ G)) & (late_r1613948593reeRes @ A @ B @ E @ F)))) <= (! [F:late_freeRes,G:pi]: (D @ (B @ F @ G))))) <= (finite_finite_name @ (supp_L1174290467t_name @ C))) <= (finite_finite_name @ (supp_L381160156s_name @ B))) <= (finite_finite_name @ (supp_L1178477943s_name @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_328_residual_Orec__unique)).
64.30/22.36	thf(392,plain,((! [A:(late_subject > (name > (pi > late_freeRes))),B:(late_freeRes > (pi > late_freeRes)),C:late_subject,D:(late_freeRes > $o),E:late_residual]: (((! [F:late_subject,G:name,H:pi]: (D @ (A @ F @ G @ H))) => (((! [F:late_subject,G:name]: ((fresh_660367079reeRes @ G @ (A)) => (((fresh_717452603ubject @ G @ C) => (! [H:pi]: ((fresh_1641682979reeRes @ G @ (A @ F @ G @ H)) | ~ (D @ (A @ F @ G @ H))))) | ~ (fresh_717452603ubject @ G @ F)))) => (? [F:late_freeRes]: (! [G:late_freeRes]: ((G = F) | ~ (late_r1613948593reeRes @ (A) @ (B) @ E @ G)) & (late_r1613948593reeRes @ (A) @ (B) @ E @ F)))) | ~ (! [F:late_freeRes,G:pi]: (D @ (B @ F @ G))))) | ~ (finite_finite_name @ (supp_L1174290467t_name @ C)) | ~ (finite_finite_name @ (supp_L381160156s_name @ (B))) | ~ (finite_finite_name @ (supp_L1178477943s_name @ (A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[22])).
64.30/22.36	thf(92,axiom,((! [A:name,B:name]: ((late_InputS @ A) != (late_BoundOutputS @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_68_Late__Semantics1_Osubject_Odistinct_I1_J)).
64.30/22.36	thf(729,plain,((! [A:name,B:name]: ~ ((late_InputS @ A) = (late_BoundOutputS @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[92])).
64.30/22.36	thf(112,axiom,((! [A:name]: (finite_finite_name @ (supp_name_name @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_298_fs__name1)).
64.30/22.36	thf(825,plain,((! [A:name]: (finite_finite_name @ (supp_name_name @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[112])).
64.30/22.36	thf(217,axiom,((! [A:pi,B:name,C:name,D:pi]: ~ (late_transitions @ (tau @ A) @ (late_FreeR @ (late_OutputR @ B @ C) @ D)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_119_tauOutputTrans)).
64.30/22.36	thf(1343,plain,((! [A:pi,B:name,C:name,D:pi]: ~ (late_transitions @ (tau @ A) @ (late_FreeR @ (late_OutputR @ B @ C) @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[217])).
64.30/22.36	thf(300,axiom,((! [A:pi,B:name,C:name,D:pi,E:pi,F:name,G:pi]: ((late_transitions @ A @ (late_BoundR @ (late_InputS @ B) @ C @ D)) => (((late_transitions @ (par @ A @ E) @ (late_FreeR @ late_TauR @ (res @ F @ (par @ (subs @ D @ C @ F) @ G)))) <= (fresh_name_pi @ F @ A)) <= (late_transitions @ E @ (late_BoundR @ (late_BoundOutputS @ B) @ F @ G)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_23_Late__Semantics_OClose1)).
64.30/22.36	thf(1883,plain,((! [A:pi,B:name,C:name,D:pi,E:pi,F:name,G:pi]: ((late_transitions @ A @ (late_BoundR @ (late_InputS @ B) @ C @ D)) => ((late_transitions @ (par @ A @ E) @ (late_FreeR @ late_TauR @ (res @ F @ (par @ (subs @ D @ C @ F) @ G)))) | ~ (fresh_name_pi @ F @ A) | ~ (late_transitions @ E @ (late_BoundR @ (late_BoundOutputS @ B) @ F @ G)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[300])).
64.30/22.36	thf(244,axiom,((! [A:name,B:pi,C:name,D:name,E:pi]: ~ (late_transitions @ (res @ A @ (tau @ B)) @ (late_FreeR @ (late_OutputR @ C @ D) @ E)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_95_resTauOutputTrans)).
64.30/22.36	thf(1560,plain,((! [A:name,B:pi,C:name,D:name,E:pi]: ~ (late_transitions @ (res @ A @ (tau @ B)) @ (late_FreeR @ (late_OutputR @ C @ D) @ E)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[244])).
64.30/22.36	thf(227,axiom,((! [A:(late_freeRes > (pi > $o)),B:late_freeRes,C:pi]: ((((! [D:pi,E:late_freeRes]: ((! [F:late_freeRes]: (A @ F @ D)) => (A @ E @ (tau @ D)))) => ((! [D:name,E:name,F:pi,G:late_freeRes]: ((fresh_1641682979reeRes @ E @ G) => (((A @ G @ (input @ D @ E @ F)) <= (! [H:late_freeRes]: (A @ H @ F))) <= (fresh_name_name @ E @ D)))) => ((! [D:name,E:name,F:pi,G:late_freeRes]: ((A @ G @ (match @ D @ E @ F)) <= (! [H:late_freeRes]: (A @ H @ F)))) => ((((! [D:pi,E:pi,F:late_freeRes]: (((A @ F @ (par @ D @ E)) <= (! [G:late_freeRes]: (A @ G @ E))) <= (! [G:late_freeRes]: (A @ G @ D)))) => ((! [D:name,E:pi,F:late_freeRes]: ((fresh_1641682979reeRes @ D @ F) => ((! [G:late_freeRes]: (A @ G @ E)) => (A @ F @ (res @ D @ E))))) => ((A @ B @ C) <= (! [D:pi,E:late_freeRes]: ((! [F:late_freeRes]: (A @ F @ D)) => (A @ E @ (bang @ D))))))) <= (! [D:pi,E:pi,F:late_freeRes]: ((! [G:late_freeRes]: (A @ G @ D)) => ((! [G:late_freeRes]: (A @ G @ E)) => (A @ F @ (sum @ D @ E)))))) <= (! [D:name,E:name,F:pi,G:late_freeRes]: ((A @ G @ (mismatch @ D @ E @ F)) <= (! [H:late_freeRes]: (A @ H @ F)))))))) <= (! [D:name,E:name,F:pi,G:late_freeRes]: ((! [H:late_freeRes]: (A @ H @ F)) => (A @ G @ (output @ D @ E @ F))))) <= (! [D:late_freeRes]: (A @ D @ piNil))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_186_pi_Ostrong__inducts)).
64.30/22.36	thf(1423,plain,((! [A:(late_freeRes > (pi > $o)),B:late_freeRes,C:pi]: (((! [D:pi,E:late_freeRes]: ((! [F:late_freeRes]: (A @ F @ D)) => (A @ E @ (tau @ D)))) => ((! [D:name,E:name,F:pi,G:late_freeRes]: ((fresh_1641682979reeRes @ E @ G) => ((A @ G @ (input @ D @ E @ F)) | ~ (! [H:late_freeRes]: (A @ H @ F)) | ~ (fresh_name_name @ E @ D)))) => ((! [D:name,E:name,F:pi,G:late_freeRes]: ((A @ G @ (match @ D @ E @ F)) | ~ (! [H:late_freeRes]: (A @ H @ F)))) => (((! [D:pi,E:pi,F:late_freeRes]: ((A @ F @ (par @ D @ E)) | ~ (! [G:late_freeRes]: (A @ G @ E)) | ~ (! [G:late_freeRes]: (A @ G @ D)))) => ((! [D:name,E:pi,F:late_freeRes]: ((fresh_1641682979reeRes @ D @ F) => ((! [G:late_freeRes]: (A @ G @ E)) => (A @ F @ (res @ D @ E))))) => ((A @ B @ C) | ~ (! [D:pi,E:late_freeRes]: ((! [F:late_freeRes]: (A @ F @ D)) => (A @ E @ (bang @ D))))))) | ~ (! [D:pi,E:pi,F:late_freeRes]: ((! [G:late_freeRes]: (A @ G @ D)) => ((! [G:late_freeRes]: (A @ G @ E)) => (A @ F @ (sum @ D @ E))))) | ~ (! [D:name,E:name,F:pi,G:late_freeRes]: ((A @ G @ (mismatch @ D @ E @ F)) | ~ (! [H:late_freeRes]: (A @ H @ F)))))))) | ~ (! [D:name,E:name,F:pi,G:late_freeRes]: ((! [H:late_freeRes]: (A @ H @ F)) => (A @ G @ (output @ D @ E @ F)))) | ~ (! [D:late_freeRes]: (A @ D @ piNil))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[227])).
64.30/22.36	thf(36,axiom,((! [A:(late_subject > (name > (pi > late_freeRes))),B:(late_freeRes > (pi > late_freeRes)),C:late_residual,D:late_freeRes]: (((finite_finite_name @ (supp_L381160156s_name @ B)) => ((late_r1613948593reeRes @ A @ B @ C @ D) => (finite_finite_name @ (supp_L1228270395s_name @ D)))) <= (finite_finite_name @ (supp_L1178477943s_name @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_338_residual_Orec__fin__supp)).
64.30/22.36	thf(467,plain,((! [A:(late_subject > (name > (pi > late_freeRes))),B:(late_freeRes > (pi > late_freeRes)),C:late_residual,D:late_freeRes]: (((finite_finite_name @ (supp_L381160156s_name @ (B))) => ((late_r1613948593reeRes @ (A) @ (B) @ C @ D) => (finite_finite_name @ (supp_L1228270395s_name @ D)))) | ~ (finite_finite_name @ (supp_L1178477943s_name @ (A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[36])).
64.30/22.36	thf(117,axiom,((! [A:(late_subject > (name > (pi > late_freeRes))),B:(late_freeRes > (pi > late_freeRes)),C:name,D:(late_freeRes > $o),E:name,F:late_subject,G:pi]: (((finite_finite_name @ (supp_L381160156s_name @ B)) => ((finite_finite_name @ (supp_name_name @ C)) => ((((((fresh_256112244reeRes @ E @ B) => ((fresh_717452603ubject @ E @ F) => ((late_r124702629reeRes @ A @ B @ (late_BoundR @ F @ E @ G)) = (A @ F @ E @ G)))) <= (fresh_660367079reeRes @ E @ A)) <= (! [H:late_subject,I:name,J:pi]: (((((D @ (A @ H @ I @ J)) => (fresh_1641682979reeRes @ I @ (A @ H @ I @ J))) <= (fresh_name_name @ I @ C)) <= (fresh_717452603ubject @ I @ H)) <= (fresh_660367079reeRes @ I @ A)))) <= (! [H:late_freeRes,I:pi]: (D @ (B @ H @ I)))) <= (! [H:late_subject,I:name,J:pi]: (D @ (A @ H @ I @ J)))))) <= (finite_finite_name @ (supp_L1178477943s_name @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_319_residual_Orecs_I1_J)).
64.30/22.36	thf(847,plain,((! [A:(late_subject > (name > (pi > late_freeRes))),B:(late_freeRes > (pi > late_freeRes)),C:name,D:(late_freeRes > $o),E:name,F:late_subject,G:pi]: (((finite_finite_name @ (supp_L381160156s_name @ (B))) => ((finite_finite_name @ (supp_name_name @ C)) => (((fresh_256112244reeRes @ E @ (B)) => ((fresh_717452603ubject @ E @ F) => ((late_r124702629reeRes @ (A) @ (B) @ (late_BoundR @ F @ E @ G)) = (A @ F @ E @ G)))) | ~ (fresh_660367079reeRes @ E @ (A)) | ~ (! [H:late_subject,I:name,J:pi]: (((D @ (A @ H @ I @ J)) => (fresh_1641682979reeRes @ I @ (A @ H @ I @ J))) | ~ (fresh_name_name @ I @ C) | ~ (fresh_717452603ubject @ I @ H) | ~ (fresh_660367079reeRes @ I @ (A)))) | ~ (! [H:late_freeRes,I:pi]: (D @ (B @ H @ I))) | ~ (! [H:late_subject,I:name,J:pi]: (D @ (A @ H @ I @ J)))))) | ~ (finite_finite_name @ (supp_L1178477943s_name @ (A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[117])).
64.30/22.36	thf(11,axiom,((! [A:name,B:name,C:name]: ((fresh_1093033124n_name @ A @ (abs_fun_name_name @ B @ C)) = ((fresh_name_name @ A @ C) | (A = B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_143_abs__fresh_I1_J)).
64.30/22.36	thf(361,plain,((! [A:name,B:name,C:name]: ((fresh_1093033124n_name @ A @ (abs_fun_name_name @ B @ C)) = ((fresh_name_name @ A @ C) | (A = B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[11])).
64.30/22.36	thf(311,axiom,((! [A:(late_subject > (name > (pi > late_subject))),B:(late_freeRes > (pi > late_subject)),C:late_subject,D:(late_subject > $o),E:late_freeRes,F:pi]: ((finite_finite_name @ (supp_L1144036959t_name @ A)) => (((finite_finite_name @ (supp_L1174290467t_name @ C)) => (((! [G:late_freeRes,H:pi]: (D @ (B @ G @ H))) => ((! [G:late_subject,H:name,I:pi]: ((fresh_795910143ubject @ H @ A) => ((fresh_717452603ubject @ H @ G) => ((fresh_717452603ubject @ H @ C) => ((fresh_717452603ubject @ H @ (A @ G @ H @ I)) <= (D @ (A @ G @ H @ I))))))) => ((late_r1347955901ubject @ A @ B @ (late_FreeR @ E @ F)) = (B @ E @ F)))) <= (! [G:late_subject,H:name,I:pi]: (D @ (A @ G @ H @ I))))) <= (finite_finite_name @ (supp_L1759672260t_name @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_300_residual_Orecs_I2_J)).
64.30/22.36	thf(1920,plain,((! [A:(late_subject > (name > (pi > late_subject))),B:(late_freeRes > (pi > late_subject)),C:late_subject,D:(late_subject > $o),E:late_freeRes,F:pi]: ((finite_finite_name @ (supp_L1144036959t_name @ (A))) => (((finite_finite_name @ (supp_L1174290467t_name @ C)) => (((! [G:late_freeRes,H:pi]: (D @ (B @ G @ H))) => ((! [G:late_subject,H:name,I:pi]: ((fresh_795910143ubject @ H @ (A)) => ((fresh_717452603ubject @ H @ G) => ((fresh_717452603ubject @ H @ C) => ((fresh_717452603ubject @ H @ (A @ G @ H @ I)) | ~ (D @ (A @ G @ H @ I))))))) => ((late_r1347955901ubject @ (A) @ (B) @ (late_FreeR @ E @ F)) = (B @ E @ F)))) | ~ (! [G:late_subject,H:name,I:pi]: (D @ (A @ G @ H @ I))))) | ~ (finite_finite_name @ (supp_L1759672260t_name @ (B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[311])).
64.30/22.36	thf(207,axiom,((! [A:pi,B:late_subject,C:name,D:pi]: ~ (late_transitions @ (tau @ A) @ (late_BoundR @ B @ C @ D)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_112_tauBoundTrans)).
64.30/22.36	thf(1296,plain,((! [A:pi,B:late_subject,C:name,D:pi]: ~ (late_transitions @ (tau @ A) @ (late_BoundR @ B @ C @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[207])).
64.30/22.36	thf(268,axiom,((! [A:name,B:name,C:pi,D:name,E:pi]: ((match @ A @ B @ C) != (res @ D @ E)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_172_pi_Odistinct_I67_J)).
64.30/22.36	thf(1687,plain,((! [A:name,B:name,C:pi,D:name,E:pi]: ~ ((match @ A @ B @ C) = (res @ D @ E)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[268])).
64.30/22.36	thf(34,axiom,((! [A:(late_subject > (name > (pi > (name > noption_pi)))),B:(late_freeRes > (pi > (name > noption_pi))),C:late_residual,D:(name > noption_pi)]: ((((late_r750878080ion_pi @ A @ B @ C @ D) => (finite_finite_name @ (supp_n468628396i_name @ D))) <= (finite_finite_name @ (supp_L635439693i_name @ B))) <= (finite_finite_name @ (supp_L3230824i_name @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_341_residual_Orec__fin__supp)).
64.30/22.36	thf(461,plain,((! [A:(late_subject > (name > (pi > (name > noption_pi)))),B:(late_freeRes > (pi > (name > noption_pi))),C:late_residual,D:(name > noption_pi)]: (((late_r750878080ion_pi @ (A) @ (B) @ C @ (D)) => (finite_finite_name @ (supp_n468628396i_name @ (D)))) | ~ (finite_finite_name @ (supp_L635439693i_name @ (B))) | ~ (finite_finite_name @ (supp_L3230824i_name @ (A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[34])).
64.30/22.36	thf(262,axiom,((! [A:(late_freeRes > (late_residual > $o)),B:late_freeRes,C:late_residual]: ((! [D:late_subject,E:name,F:pi,G:late_freeRes]: (((fresh_717452603ubject @ E @ D) => (A @ G @ (late_BoundR @ D @ E @ F))) <= (fresh_1641682979reeRes @ E @ G))) => ((! [D:late_freeRes,E:pi,F:late_freeRes]: (A @ F @ (late_FreeR @ D @ E))) => (A @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_39_residual_Ostrong__inducts)).
64.30/22.36	thf(1656,plain,((! [A:(late_freeRes > (late_residual > $o)),B:late_freeRes,C:late_residual]: ((! [D:late_subject,E:name,F:pi,G:late_freeRes]: (((fresh_717452603ubject @ E @ D) => (A @ G @ (late_BoundR @ D @ E @ F))) | ~ (fresh_1641682979reeRes @ E @ G))) => ((! [D:late_freeRes,E:pi,F:late_freeRes]: (A @ F @ (late_FreeR @ D @ E))) => (A @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[262])).
64.30/22.36	thf(184,axiom,((! [A:(pi > (late_residual > $o)),B:pi,C:late_residual]: (((A @ B @ C) <= (! [D:late_freeRes,E:pi,F:pi]: (A @ F @ (late_FreeR @ D @ E)))) <= (! [D:late_subject,E:name,F:pi,G:pi]: ((fresh_name_pi @ E @ G) => ((A @ G @ (late_BoundR @ D @ E @ F)) <= (fresh_717452603ubject @ E @ D))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_41_residual_Ostrong__inducts)).
64.30/22.36	thf(1128,plain,((! [A:(pi > (late_residual > $o)),B:pi,C:late_residual]: ((A @ B @ C) | ~ (! [D:late_freeRes,E:pi,F:pi]: (A @ F @ (late_FreeR @ D @ E))) | ~ (! [D:late_subject,E:name,F:pi,G:pi]: ((fresh_name_pi @ E @ G) => ((A @ G @ (late_BoundR @ D @ E @ F)) | ~ (fresh_717452603ubject @ E @ D))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[184])).
64.30/22.36	thf(179,axiom,((! [A:name,B:name,C:pi]: ((A != B) => (fresh_name_pi @ A @ (subs @ C @ A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_50_fresh__fact2)).
64.30/22.36	thf(1106,plain,((! [A:name,B:name,C:pi]: ((~ (A = B)) => (fresh_name_pi @ A @ (subs @ C @ A @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[179])).
64.30/22.36	thf(82,axiom,((! [A:late_freeRes]: ~ (! [B:name]: ~ (fresh_1641682979reeRes @ B @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_34_name__exists__fresh)).
64.30/22.36	thf(697,plain,((! [A:late_freeRes]: ~ (! [B:name]: ~ (fresh_1641682979reeRes @ B @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[82])).
64.30/22.36	thf(293,axiom,((! [A:pi,B:late_residual,C:pi]: ((late_transitions @ A @ B) => (late_transitions @ (sum @ A @ C) @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_206_Sum1)).
64.30/22.36	thf(1851,plain,((! [A:pi,B:late_residual,C:pi]: ((late_transitions @ A @ B) => (late_transitions @ (sum @ A @ C) @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[293])).
64.30/22.36	thf(64,axiom,((! [A:name,B:pi,C:pi]: ((fresh_name_pi @ A @ (sum @ B @ C)) = ((fresh_name_pi @ A @ B) & (fresh_name_pi @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_194_pi_Ofresh_I7_J)).
64.30/22.36	thf(615,plain,((! [A:name,B:pi,C:pi]: ((fresh_name_pi @ A @ (sum @ B @ C)) = ((fresh_name_pi @ A @ B) & (fresh_name_pi @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[64])).
64.30/22.36	thf(90,axiom,((supp_n468628396i_name = (^ [A:(name > noption_pi)]: (collect_name @ (^ [B:name]: ~ (fresh_543891186ion_pi @ B @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_275_supp__fresh__iff)).
64.30/22.36	thf(725,plain,(((supp_n468628396i_name) = (^ [A:(name > noption_pi)]: (collect_name @ (^ [B:name]: ~ (fresh_543891186ion_pi @ B @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[90])).
64.30/22.36	thf(62,axiom,((supp_pi_name = (^ [A:pi]: (collect_name @ (^ [B:name]: ~ (fresh_name_pi @ B @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_274_supp__fresh__iff)).
64.30/22.36	thf(610,plain,(((supp_pi_name) = (^ [A:pi]: (collect_name @ (^ [B:name]: ~ (fresh_name_pi @ B @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[62])).
64.30/22.36	thf(219,axiom,((! [A:(pi > (pi > $o)),B:pi,C:pi]: ((! [D:pi]: (A @ D @ piNil)) => (((! [D:pi,E:pi]: ((! [F:pi]: (A @ F @ D)) => (A @ E @ (tau @ D)))) => (((! [D:name,E:name,F:pi,G:pi]: ((A @ G @ (match @ D @ E @ F)) <= (! [H:pi]: (A @ H @ F)))) => (((! [D:pi,E:pi,F:pi]: ((! [G:pi]: (A @ G @ D)) => ((! [G:pi]: (A @ G @ E)) => (A @ F @ (sum @ D @ E))))) => (((! [D:name,E:pi,F:pi]: ((fresh_name_pi @ D @ F) => ((! [G:pi]: (A @ G @ E)) => (A @ F @ (res @ D @ E))))) => ((! [D:pi,E:pi]: ((! [F:pi]: (A @ F @ D)) => (A @ E @ (bang @ D)))) => (A @ B @ C))) <= (! [D:pi,E:pi,F:pi]: ((! [G:pi]: (A @ G @ D)) => ((A @ F @ (par @ D @ E)) <= (! [G:pi]: (A @ G @ E))))))) <= (! [D:name,E:name,F:pi,G:pi]: ((A @ G @ (mismatch @ D @ E @ F)) <= (! [H:pi]: (A @ H @ F)))))) <= (! [D:name,E:name,F:pi,G:pi]: ((fresh_name_pi @ E @ G) => ((fresh_name_name @ E @ D) => ((A @ G @ (input @ D @ E @ F)) <= (! [H:pi]: (A @ H @ F)))))))) <= (! [D:name,E:name,F:pi,G:pi]: ((A @ G @ (output @ D @ E @ F)) <= (! [H:pi]: (A @ H @ F)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_188_pi_Ostrong__inducts)).
64.30/22.36	thf(1350,plain,((! [A:(pi > (pi > $o)),B:pi,C:pi]: ((! [D:pi]: (A @ D @ piNil)) => (((! [D:pi,E:pi]: ((! [F:pi]: (A @ F @ D)) => (A @ E @ (tau @ D)))) => (((! [D:name,E:name,F:pi,G:pi]: ((A @ G @ (match @ D @ E @ F)) | ~ (! [H:pi]: (A @ H @ F)))) => (((! [D:pi,E:pi,F:pi]: ((! [G:pi]: (A @ G @ D)) => ((! [G:pi]: (A @ G @ E)) => (A @ F @ (sum @ D @ E))))) => (((! [D:name,E:pi,F:pi]: ((fresh_name_pi @ D @ F) => ((! [G:pi]: (A @ G @ E)) => (A @ F @ (res @ D @ E))))) => ((! [D:pi,E:pi]: ((! [F:pi]: (A @ F @ D)) => (A @ E @ (bang @ D)))) => (A @ B @ C))) | ~ (! [D:pi,E:pi,F:pi]: ((! [G:pi]: (A @ G @ D)) => ((A @ F @ (par @ D @ E)) | ~ (! [G:pi]: (A @ G @ E))))))) | ~ (! [D:name,E:name,F:pi,G:pi]: ((A @ G @ (mismatch @ D @ E @ F)) | ~ (! [H:pi]: (A @ H @ F)))))) | ~ (! [D:name,E:name,F:pi,G:pi]: ((fresh_name_pi @ E @ G) => ((fresh_name_name @ E @ D) => ((A @ G @ (input @ D @ E @ F)) | ~ (! [H:pi]: (A @ H @ F)))))))) | ~ (! [D:name,E:name,F:pi,G:pi]: ((A @ G @ (output @ D @ E @ F)) | ~ (! [H:pi]: (A @ H @ F)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[219])).
64.30/22.36	thf(313,axiom,((fresh_name_pi @ x @ q)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_cClose2_Ohyps_I3_J)).
64.30/22.36	thf(1936,plain,((fresh_name_pi @ x @ q)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[313])).
64.30/22.36	thf(70,axiom,((! [A:(late_subject > (name > (pi > pi))),B:(late_freeRes > (pi > pi)),C:late_residual,D:pi]: ((finite_finite_name @ (supp_L729745222i_name @ A)) => ((finite_finite_name @ (supp_L2052723895i_name @ B)) => ((late_r1261898622set_pi @ A @ B @ C @ D) => (finite_finite_name @ (supp_pi_name @ D))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_340_residual_Orec__fin__supp)).
64.30/22.36	thf(650,plain,((! [A:(late_subject > (name > (pi > pi))),B:(late_freeRes > (pi > pi)),C:late_residual,D:pi]: ((finite_finite_name @ (supp_L729745222i_name @ (A))) => ((finite_finite_name @ (supp_L2052723895i_name @ (B))) => ((late_r1261898622set_pi @ (A) @ (B) @ C @ D) => (finite_finite_name @ (supp_pi_name @ D))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[70])).
64.30/22.36	thf(144,axiom,((! [A:name,B:name,C:pi,D:name,E:name,F:pi]: (((output @ A @ B @ C) = (output @ D @ E @ F)) = ((B = E) & (C = F) & (A = D))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_103_pi_Oinject_I1_J)).
64.30/22.36	thf(948,plain,((! [A:name,B:name,C:pi,D:name,E:name,F:pi]: (((output @ A @ B @ C) = (output @ D @ E @ F)) = ((B = E) & (C = F) & (A = D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[144])).
64.30/22.36	thf(238,axiom,((! [A:name,B:name,C:pi,D:pi]: ~ (late_transitions @ (output @ A @ B @ C) @ (late_FreeR @ late_TauR @ D)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_118_outputTauTrans)).
64.30/22.36	thf(1540,plain,((! [A:name,B:name,C:pi,D:pi]: ~ (late_transitions @ (output @ A @ B @ C) @ (late_FreeR @ late_TauR @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[238])).
64.30/22.36	thf(154,axiom,((! [A:name,B:name,C:pi,D:name,E:name,F:pi]: ((input @ A @ B @ C) != (match @ D @ E @ F)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_174_pi_Odistinct_I49_J)).
64.30/22.36	thf(1006,plain,((! [A:name,B:name,C:pi,D:name,E:name,F:pi]: ~ ((input @ A @ B @ C) = (match @ D @ E @ F)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[154])).
64.30/22.36	thf(267,axiom,((! [A:pi,B:name,C:name,D:pi,E:pi,F:name,G:pi]: (((((((fresh_name_pi @ C @ E) => ((((((late_transitions @ (par @ A @ E) @ (late_FreeR @ late_TauR @ (res @ C @ (par @ D @ (subs @ G @ F @ C))))) <= (F != C)) <= (fresh_name_pi @ C @ G)) <= (C != B)) <= (fresh_name_pi @ F @ D)) <= (F != B))) <= (fresh_name_pi @ C @ A)) <= (fresh_name_pi @ F @ E)) <= (fresh_name_pi @ F @ A)) <= (late_transitions @ E @ (late_BoundR @ (late_InputS @ B) @ F @ G))) <= (late_transitions @ A @ (late_BoundR @ (late_BoundOutputS @ B) @ C @ D))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_26_transitions_OClose2)).
64.30/22.36	thf(1683,plain,((! [A:pi,B:name,C:name,D:pi,E:pi,F:name,G:pi]: (((fresh_name_pi @ C @ E) => ((late_transitions @ (par @ A @ E) @ (late_FreeR @ late_TauR @ (res @ C @ (par @ D @ (subs @ G @ F @ C))))) | (F = C) | ~ (fresh_name_pi @ C @ G) | (C = B) | ~ (fresh_name_pi @ F @ D) | (F = B))) | ~ (fresh_name_pi @ C @ A) | ~ (fresh_name_pi @ F @ E) | ~ (fresh_name_pi @ F @ A) | ~ (late_transitions @ E @ (late_BoundR @ (late_InputS @ B) @ F @ G)) | ~ (late_transitions @ A @ (late_BoundR @ (late_BoundOutputS @ B) @ C @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[267])).
64.30/22.36	thf(323,axiom,((! [A:pi,B:pi,C:late_residual]: ((late_transitions @ (sum @ A @ B) @ C) => ((~ (late_transitions @ A @ C)) => (late_transitions @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_204_sumCases)).
64.30/22.36	thf(2023,plain,((! [A:pi,B:pi,C:late_residual]: ((late_transitions @ (sum @ A @ B) @ C) => ((~ (late_transitions @ A @ C)) => (late_transitions @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[323])).
64.30/22.36	thf(46,axiom,((! [A:pi,B:pi]: (piNil != (sum @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_211_pi_Odistinct_I11_J)).
64.30/22.36	thf(526,plain,((! [A:pi,B:pi]: ~ (piNil = (sum @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[46])).
64.30/22.36	thf(314,axiom,((! [A:name,B:name]: ((subs @ piNil @ A @ B) = piNil))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_198_simps_I1_J)).
64.30/22.36	thf(1937,plain,((! [A:name,B:name]: ((subs @ piNil @ A @ B) = piNil))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[314])).
64.30/22.36	thf(226,axiom,((! [A:name,B:name,C:pi,D:late_freeRes,E:pi]: ((~ ((fresh_1641682979reeRes @ B @ D) | (fresh_1641682979reeRes @ A @ D))) <= (late_transitions @ (output @ A @ B @ C) @ (late_FreeR @ D @ E))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_111_outputFreshTrans)).
64.30/22.36	thf(1419,plain,((! [A:name,B:name,C:pi,D:late_freeRes,E:pi]: (~ ((fresh_1641682979reeRes @ B @ D) | (fresh_1641682979reeRes @ A @ D)) | ~ (late_transitions @ (output @ A @ B @ C) @ (late_FreeR @ D @ E))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[226])).
64.30/22.36	thf(302,axiom,((fresh_name_pi @ x @ q2)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10_cClose2_Ohyps_I7_J)).
64.30/22.36	thf(1889,plain,((fresh_name_pi @ x @ q2)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[302])).
64.30/22.36	thf(260,axiom,((! [A:late_freeRes,B:pi]: ((supp_L1174042202l_name @ (late_FreeR @ A @ B)) = (sup_sup_set_name @ (supp_L1228270395s_name @ A) @ (supp_pi_name @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_346_residual_Osupp_I2_J)).
64.30/22.36	thf(1644,plain,((! [A:late_freeRes,B:pi]: ((supp_L1174042202l_name @ (late_FreeR @ A @ B)) = (sup_sup_set_name @ (supp_L1228270395s_name @ A) @ (supp_pi_name @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[260])).
64.30/22.36	thf(66,axiom,((! [A:pi]: (piNil != (bang @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_212_pi_Odistinct_I17_J)).
64.30/22.36	thf(622,plain,((! [A:pi]: ~ (piNil = (bang @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[66])).
64.30/22.36	thf(177,axiom,((! [A:late_freeRes]: ((! [B:name,C:name]: (A != (late_OutputR @ B @ C))) => (A = late_TauR)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_79_freeRes_Oexhaust)).
64.30/22.36	thf(1099,plain,((! [A:late_freeRes]: ((! [B:name,C:name]: ~ (A = (late_OutputR @ B @ C))) => (A = late_TauR)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[177])).
64.30/22.36	thf(95,axiom,((! [A:(late_subject > (name > (pi > (name > noptio354675977ion_pi)))),B:(late_freeRes > (pi > (name > noptio354675977ion_pi))),C:late_residual,D:(name > noptio354675977ion_pi),E:name]: ((((late_r1558248490ion_pi @ A @ B @ C @ D) => ((! [F:(name > noptio354675977ion_pi)]: ((late_r1558248490ion_pi @ A @ B @ C @ F) => (F = D))) => ((fresh_81631222sidual @ E @ C) => (((fresh_2081817683ion_pi @ E @ B) => (fresh_92802872ion_pi @ E @ D)) <= (fresh_876421558ion_pi @ E @ A))))) <= (finite_finite_name @ (supp_L979396363i_name @ B))) <= (finite_finite_name @ (supp_L1512088218i_name @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_321_residual_Orec__fresh)).
64.30/22.36	thf(738,plain,((! [A:(late_subject > (name > (pi > (name > noptio354675977ion_pi)))),B:(late_freeRes > (pi > (name > noptio354675977ion_pi))),C:late_residual,D:(name > noptio354675977ion_pi),E:name]: (((late_r1558248490ion_pi @ (A) @ (B) @ C @ (D)) => ((! [F:(name > noptio354675977ion_pi)]: ((late_r1558248490ion_pi @ (A) @ (B) @ C @ (F)) => ((F) = (D)))) => ((fresh_81631222sidual @ E @ C) => (((fresh_2081817683ion_pi @ E @ (B)) => (fresh_92802872ion_pi @ E @ (D))) | ~ (fresh_876421558ion_pi @ E @ (A)))))) | ~ (finite_finite_name @ (supp_L979396363i_name @ (B))) | ~ (finite_finite_name @ (supp_L1512088218i_name @ (A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[95])).
64.30/22.36	thf(201,axiom,((! [A:(late_subject > (name > (pi > pi))),B:(late_freeRes > (pi > pi)),C:late_freeRes,D:(pi > $o),E:late_freeRes,F:pi]: ((finite_finite_name @ (supp_L729745222i_name @ A)) => ((finite_finite_name @ (supp_L2052723895i_name @ B)) => ((finite_finite_name @ (supp_L1228270395s_name @ C)) => ((! [G:late_subject,H:name,I:pi]: (D @ (A @ G @ H @ I))) => ((((late_residual_rec_pi @ A @ B @ (late_FreeR @ E @ F)) = (B @ E @ F)) <= (! [G:late_subject,H:name,I:pi]: (((((fresh_name_pi @ H @ (A @ G @ H @ I)) <= (D @ (A @ G @ H @ I))) <= (fresh_1641682979reeRes @ H @ C)) <= (fresh_717452603ubject @ H @ G)) <= (fresh_1438126218_pi_pi @ H @ A)))) <= (! [G:late_freeRes,H:pi]: (D @ (B @ G @ H)))))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_307_residual_Orecs_I2_J)).
64.30/22.36	thf(1266,plain,((! [A:(late_subject > (name > (pi > pi))),B:(late_freeRes > (pi > pi)),C:late_freeRes,D:(pi > $o),E:late_freeRes,F:pi]: ((finite_finite_name @ (supp_L729745222i_name @ (A))) => ((finite_finite_name @ (supp_L2052723895i_name @ (B))) => ((finite_finite_name @ (supp_L1228270395s_name @ C)) => ((! [G:late_subject,H:name,I:pi]: (D @ (A @ G @ H @ I))) => (((late_residual_rec_pi @ (A) @ (B) @ (late_FreeR @ E @ F)) = (B @ E @ F)) | ~ (! [G:late_subject,H:name,I:pi]: ((fresh_name_pi @ H @ (A @ G @ H @ I)) | ~ (D @ (A @ G @ H @ I)) | ~ (fresh_1641682979reeRes @ H @ C) | ~ (fresh_717452603ubject @ H @ G) | ~ (fresh_1438126218_pi_pi @ H @ (A)))) | ~ (! [G:late_freeRes,H:pi]: (D @ (B @ G @ H)))))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[201])).
64.30/22.36	thf(312,axiom,((! [A:name,B:pi,C:name]: ((fresh_name_pi @ A @ B) => ((subs @ (res @ C @ B) @ C @ A) = (res @ A @ (subs @ B @ C @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_28_substRes3)).
64.30/22.36	thf(1932,plain,((! [A:name,B:pi,C:name]: ((fresh_name_pi @ A @ B) => ((subs @ (res @ C @ B) @ C @ A) = (res @ A @ (subs @ B @ C @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[312])).
64.30/22.36	thf(150,axiom,((! [A:name,B:name,C:pi,D:name,E:name,F:pi]: ((output @ A @ B @ C) != (match @ D @ E @ F)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_176_pi_Odistinct_I23_J)).
64.30/22.36	thf(984,plain,((! [A:name,B:name,C:pi,D:name,E:name,F:pi]: ~ ((output @ A @ B @ C) = (match @ D @ E @ F)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[150])).
64.30/22.36	thf(89,axiom,((! [A:name,B:name,C:pi,D:pi]: ((match @ A @ B @ C) != (bang @ D)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_227_pi_Odistinct_I69_J)).
64.30/22.36	thf(721,plain,((! [A:name,B:name,C:pi,D:pi]: ~ ((match @ A @ B @ C) = (bang @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[89])).
64.30/22.36	thf(318,axiom,((! [A:(name > (pi > $o)),B:name,C:pi]: (((! [D:name,E:name,F:pi,G:name]: ((A @ G @ (output @ D @ E @ F)) <= (! [H:name]: (A @ H @ F)))) => (((! [D:name,E:name,F:pi,G:name]: (((fresh_name_name @ E @ D) => ((! [H:name]: (A @ H @ F)) => (A @ G @ (input @ D @ E @ F)))) <= (fresh_name_name @ E @ G))) => ((! [D:name,E:name,F:pi,G:name]: ((! [H:name]: (A @ H @ F)) => (A @ G @ (match @ D @ E @ F)))) => (((! [D:pi,E:pi,F:name]: (((! [G:name]: (A @ G @ E)) => (A @ F @ (sum @ D @ E))) <= (! [G:name]: (A @ G @ D)))) => ((! [D:pi,E:pi,F:name]: (((! [G:name]: (A @ G @ E)) => (A @ F @ (par @ D @ E))) <= (! [G:name]: (A @ G @ D)))) => ((! [D:name,E:pi,F:name]: ((fresh_name_name @ D @ F) => ((A @ F @ (res @ D @ E)) <= (! [G:name]: (A @ G @ E))))) => ((A @ B @ C) <= (! [D:pi,E:name]: ((! [F:name]: (A @ F @ D)) => (A @ E @ (bang @ D)))))))) <= (! [D:name,E:name,F:pi,G:name]: ((! [H:name]: (A @ H @ F)) => (A @ G @ (mismatch @ D @ E @ F))))))) <= (! [D:pi,E:name]: ((A @ E @ (tau @ D)) <= (! [F:name]: (A @ F @ D)))))) <= (! [D:name]: (A @ D @ piNil))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_191_pi_Ostrong__induct)).
64.30/22.36	thf(1947,plain,((! [A:(name > (pi > $o)),B:name,C:pi]: (((! [D:name,E:name,F:pi,G:name]: ((A @ G @ (output @ D @ E @ F)) | ~ (! [H:name]: (A @ H @ F)))) => (((! [D:name,E:name,F:pi,G:name]: (((fresh_name_name @ E @ D) => ((! [H:name]: (A @ H @ F)) => (A @ G @ (input @ D @ E @ F)))) | ~ (fresh_name_name @ E @ G))) => ((! [D:name,E:name,F:pi,G:name]: ((! [H:name]: (A @ H @ F)) => (A @ G @ (match @ D @ E @ F)))) => (((! [D:pi,E:pi,F:name]: (((! [G:name]: (A @ G @ E)) => (A @ F @ (sum @ D @ E))) | ~ (! [G:name]: (A @ G @ D)))) => ((! [D:pi,E:pi,F:name]: (((! [G:name]: (A @ G @ E)) => (A @ F @ (par @ D @ E))) | ~ (! [G:name]: (A @ G @ D)))) => ((! [D:name,E:pi,F:name]: ((fresh_name_name @ D @ F) => ((A @ F @ (res @ D @ E)) | ~ (! [G:name]: (A @ G @ E))))) => ((A @ B @ C) | ~ (! [D:pi,E:name]: ((! [F:name]: (A @ F @ D)) => (A @ E @ (bang @ D)))))))) | ~ (! [D:name,E:name,F:pi,G:name]: ((! [H:name]: (A @ H @ F)) => (A @ G @ (mismatch @ D @ E @ F))))))) | ~ (! [D:pi,E:name]: ((A @ E @ (tau @ D)) | ~ (! [F:name]: (A @ F @ D)))))) | ~ (! [D:name]: (A @ D @ piNil))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[318])).
64.30/22.36	thf(332,axiom,((! [A:name,B:name,C:pi,D:name,E:name]: ((subs @ (mismatch @ A @ B @ C) @ D @ E) = (mismatch @ (subst_name @ A @ D @ E) @ (subst_name @ B @ D @ E) @ (subs @ C @ D @ E))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_156_simps_I6_J)).
64.30/22.36	thf(2052,plain,((! [A:name,B:name,C:pi,D:name,E:name]: ((subs @ (mismatch @ A @ B @ C) @ D @ E) = (mismatch @ (subst_name @ A @ D @ E) @ (subst_name @ B @ D @ E) @ (subs @ C @ D @ E))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[332])).
64.30/22.36	thf(214,axiom,((! [A:pi,B:pi,C:name,D:pi]: ((sum @ A @ B) != (res @ C @ D)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_210_pi_Odistinct_I81_J)).
64.30/22.36	thf(1333,plain,((! [A:pi,B:pi,C:name,D:pi]: ~ ((sum @ A @ B) = (res @ C @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[214])).
64.30/22.36	thf(212,axiom,((! [A:(late_subject > (name > (pi > late_subject))),B:(late_freeRes > (pi > late_subject)),C:late_freeRes,D:(late_subject > $o),E:late_freeRes,F:pi]: ((finite_finite_name @ (supp_L1144036959t_name @ A)) => (((finite_finite_name @ (supp_L1228270395s_name @ C)) => ((! [G:late_subject,H:name,I:pi]: (D @ (A @ G @ H @ I))) => (((! [G:late_subject,H:name,I:pi]: ((((fresh_1641682979reeRes @ H @ C) => ((fresh_717452603ubject @ H @ (A @ G @ H @ I)) <= (D @ (A @ G @ H @ I)))) <= (fresh_717452603ubject @ H @ G)) <= (fresh_795910143ubject @ H @ A))) => ((late_r1347955901ubject @ A @ B @ (late_FreeR @ E @ F)) = (B @ E @ F))) <= (! [G:late_freeRes,H:pi]: (D @ (B @ G @ H)))))) <= (finite_finite_name @ (supp_L1759672260t_name @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_304_residual_Orecs_I2_J)).
64.30/22.36	thf(1318,plain,((! [A:(late_subject > (name > (pi > late_subject))),B:(late_freeRes > (pi > late_subject)),C:late_freeRes,D:(late_subject > $o),E:late_freeRes,F:pi]: ((finite_finite_name @ (supp_L1144036959t_name @ (A))) => (((finite_finite_name @ (supp_L1228270395s_name @ C)) => ((! [G:late_subject,H:name,I:pi]: (D @ (A @ G @ H @ I))) => (((! [G:late_subject,H:name,I:pi]: (((fresh_1641682979reeRes @ H @ C) => ((fresh_717452603ubject @ H @ (A @ G @ H @ I)) | ~ (D @ (A @ G @ H @ I)))) | ~ (fresh_717452603ubject @ H @ G) | ~ (fresh_795910143ubject @ H @ (A)))) => ((late_r1347955901ubject @ (A) @ (B) @ (late_FreeR @ E @ F)) = (B @ E @ F))) | ~ (! [G:late_freeRes,H:pi]: (D @ (B @ G @ H)))))) | ~ (finite_finite_name @ (supp_L1759672260t_name @ (B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[212])).
64.30/22.36	thf(69,axiom,((! [A:(late_subject > (name > (pi > late_subject))),B:(late_freeRes > (pi > late_subject)),C:late_freeRes,D:(late_subject > $o),E:late_residual]: ((finite_finite_name @ (supp_L1144036959t_name @ A)) => ((finite_finite_name @ (supp_L1759672260t_name @ B)) => (((((? [F:late_subject]: (! [G:late_subject]: ((late_r689718217ubject @ A @ B @ E @ G) => (G = F)) & (late_r689718217ubject @ A @ B @ E @ F))) <= (! [F:late_subject,G:name]: ((fresh_795910143ubject @ G @ A) => ((fresh_717452603ubject @ G @ F) => ((! [H:pi]: ((fresh_717452603ubject @ G @ (A @ F @ G @ H)) <= (D @ (A @ F @ G @ H)))) <= (fresh_1641682979reeRes @ G @ C)))))) <= (! [F:late_freeRes,G:pi]: (D @ (B @ F @ G)))) <= (! [F:late_subject,G:name,H:pi]: (D @ (A @ F @ G @ H)))) <= (finite_finite_name @ (supp_L1228270395s_name @ C))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_331_residual_Orec__unique)).
64.30/22.36	thf(633,plain,((! [A:(late_subject > (name > (pi > late_subject))),B:(late_freeRes > (pi > late_subject)),C:late_freeRes,D:(late_subject > $o),E:late_residual]: ((finite_finite_name @ (supp_L1144036959t_name @ (A))) => ((finite_finite_name @ (supp_L1759672260t_name @ (B))) => (? [F:late_subject]: (! [G:late_subject]: ((late_r689718217ubject @ (A) @ (B) @ E @ G) => (G = F)) & (late_r689718217ubject @ (A) @ (B) @ E @ F)) | ~ (! [F:late_subject,G:name]: ((fresh_795910143ubject @ G @ (A)) => ((fresh_717452603ubject @ G @ F) => (! [H:pi]: ((fresh_717452603ubject @ G @ (A @ F @ G @ H)) | ~ (D @ (A @ F @ G @ H))) | ~ (fresh_1641682979reeRes @ G @ C))))) | ~ (! [F:late_freeRes,G:pi]: (D @ (B @ F @ G))) | ~ (! [F:late_subject,G:name,H:pi]: (D @ (A @ F @ G @ H))) | ~ (finite_finite_name @ (supp_L1228270395s_name @ C))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[69])).
64.30/22.36	thf(270,axiom,((! [A:pi,B:pi,C:name,D:name]: ((subs @ (sum @ A @ B) @ C @ D) = (sum @ (subs @ A @ C @ D) @ (subs @ B @ C @ D))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_197_simps_I7_J)).
64.30/22.36	thf(1695,plain,((! [A:pi,B:pi,C:name,D:name]: ((subs @ (sum @ A @ B) @ C @ D) = (sum @ (subs @ A @ C @ D) @ (subs @ B @ C @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[270])).
64.30/22.36	thf(245,axiom,((! [A:late_residual]: ~ (late_transitions @ piNil @ A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_221_nilCases_H)).
64.30/22.36	thf(1563,plain,((! [A:late_residual]: ~ (late_transitions @ piNil @ A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[245])).
64.30/22.36	thf(275,axiom,((! [A:pi,B:pi,C:late_subject,D:name,E:pi,F:(pi > $o)]: (((fresh_name_pi @ D @ A) => ((fresh_name_pi @ D @ B) => ((! [G:pi]: ((late_transitions @ A @ (late_BoundR @ C @ D @ G)) => (F @ (par @ G @ B)))) => ((! [G:pi]: ((F @ (par @ A @ G)) <= (late_transitions @ B @ (late_BoundR @ C @ D @ G)))) => (F @ E))))) <= (late_transitions @ (par @ A @ B) @ (late_BoundR @ C @ D @ E))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_56_parCasesB)).
64.30/22.36	thf(1712,plain,((! [A:pi,B:pi,C:late_subject,D:name,E:pi,F:(pi > $o)]: (((fresh_name_pi @ D @ A) => ((fresh_name_pi @ D @ B) => ((! [G:pi]: ((late_transitions @ A @ (late_BoundR @ C @ D @ G)) => (F @ (par @ G @ B)))) => ((! [G:pi]: ((F @ (par @ A @ G)) | ~ (late_transitions @ B @ (late_BoundR @ C @ D @ G)))) => (F @ E))))) | ~ (late_transitions @ (par @ A @ B) @ (late_BoundR @ C @ D @ E))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[275])).
64.30/22.36	thf(204,axiom,((! [A:pi,B:pi,C:name,D:name]: ((subs @ (par @ A @ B) @ C @ D) = (par @ (subs @ A @ C @ D) @ (subs @ B @ C @ D))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_18_simps_I8_J)).
64.30/22.36	thf(1286,plain,((! [A:pi,B:pi,C:name,D:name]: ((subs @ (par @ A @ B) @ C @ D) = (par @ (subs @ A @ C @ D) @ (subs @ B @ C @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[204])).
64.30/22.36	thf(190,axiom,((x != a)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_cClose2_Ohyps_I5_J)).
64.30/22.36	thf(1187,plain,((~ (x = a))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[190])).
64.30/22.36	thf(47,axiom,((supp_L1228270395s_name = (^ [A:late_freeRes]: (collect_name @ (^ [B:name]: ~ (fresh_1641682979reeRes @ B @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_272_supp__fresh__iff)).
64.30/22.36	thf(530,plain,(((supp_L1228270395s_name) = (^ [A:late_freeRes]: (collect_name @ (^ [B:name]: ~ (fresh_1641682979reeRes @ B @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[47])).
64.30/22.36	thf(127,axiom,((! [A:name,B:name,C:pi,D:pi]: ((output @ A @ B @ C) != (bang @ D)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_203_pi_Odistinct_I33_J)).
64.30/22.36	thf(888,plain,((! [A:name,B:name,C:pi,D:pi]: ~ ((output @ A @ B @ C) = (bang @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[127])).
64.30/22.36	thf(136,axiom,((! [A:name,B:name,C:name,D:pi]: ((fresh_name_pi @ A @ (mismatch @ B @ C @ D)) = ((fresh_name_pi @ A @ D) & (fresh_name_name @ A @ C) & (fresh_name_name @ A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_158_pi_Ofresh_I6_J)).
64.30/22.36	thf(926,plain,((! [A:name,B:name,C:name,D:pi]: ((fresh_name_pi @ A @ (mismatch @ B @ C @ D)) = ((fresh_name_pi @ A @ D) & (fresh_name_name @ A @ C) & (fresh_name_name @ A @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[136])).
64.30/22.36	thf(291,axiom,((! [A:(pi > $o),B:pi]: ((((! [C:pi]: ((A @ C) => (A @ (tau @ C)))) => (((! [C:name,D:name,E:pi]: ((A @ E) => (A @ (match @ C @ D @ E)))) => ((! [C:name,D:name,E:pi]: ((A @ (mismatch @ C @ D @ E)) <= (A @ E))) => (((! [C:pi,D:pi]: (((A @ (par @ C @ D)) <= (A @ D)) <= (A @ C))) => (((! [C:pi]: ((A @ C) => (A @ (bang @ C)))) => (A @ B)) <= (! [C:name,D:pi]: ((A @ D) => (A @ (res @ C @ D)))))) <= (! [C:pi,D:pi]: (((A @ (sum @ C @ D)) <= (A @ D)) <= (A @ C)))))) <= (! [C:name,D:name,E:pi]: ((A @ (input @ C @ D @ E)) <= (A @ E))))) <= (! [C:name,D:name,E:pi]: ((A @ (output @ C @ D @ E)) <= (A @ E)))) <= (A @ piNil)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_234_pi_Oinducts)).
64.30/22.36	thf(1814,plain,((! [A:(pi > $o),B:pi]: (((! [C:pi]: ((A @ C) => (A @ (tau @ C)))) => (((! [C:name,D:name,E:pi]: ((A @ E) => (A @ (match @ C @ D @ E)))) => ((! [C:name,D:name,E:pi]: ((A @ (mismatch @ C @ D @ E)) | ~ (A @ E))) => (((! [C:pi,D:pi]: ((A @ (par @ C @ D)) | ~ (A @ D) | ~ (A @ C))) => (((! [C:pi]: ((A @ C) => (A @ (bang @ C)))) => (A @ B)) | ~ (! [C:name,D:pi]: ((A @ D) => (A @ (res @ C @ D)))))) | ~ (! [C:pi,D:pi]: ((A @ (sum @ C @ D)) | ~ (A @ D) | ~ (A @ C)))))) | ~ (! [C:name,D:name,E:pi]: ((A @ (input @ C @ D @ E)) | ~ (A @ E))))) | ~ (! [C:name,D:name,E:pi]: ((A @ (output @ C @ D @ E)) | ~ (A @ E))) | ~ (A @ piNil)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[291])).
64.30/22.36	thf(173,axiom,((! [A:name,B:pi]: (fresh_name_pi @ A @ (res @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_47_freshRes)).
64.30/22.36	thf(1086,plain,((! [A:name,B:pi]: (fresh_name_pi @ A @ (res @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[173])).
64.30/22.36	thf(229,axiom,((! [A:(name > (late_residual > $o)),B:name,C:late_residual]: ((! [D:late_subject,E:name,F:pi,G:name]: ((fresh_name_name @ E @ G) => ((fresh_717452603ubject @ E @ D) => (A @ G @ (late_BoundR @ D @ E @ F))))) => ((A @ B @ C) <= (! [D:late_freeRes,E:pi,F:name]: (A @ F @ (late_FreeR @ D @ E))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_40_residual_Ostrong__inducts)).
64.30/22.36	thf(1466,plain,((! [A:(name > (late_residual > $o)),B:name,C:late_residual]: ((! [D:late_subject,E:name,F:pi,G:name]: ((fresh_name_name @ E @ G) => ((fresh_717452603ubject @ E @ D) => (A @ G @ (late_BoundR @ D @ E @ F))))) => ((A @ B @ C) | ~ (! [D:late_freeRes,E:pi,F:name]: (A @ F @ (late_FreeR @ D @ E))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[229])).
64.30/22.36	thf(169,axiom,((subs = (^ [A:pi,B:name,C:name]: (pi_rec_pi @ piNil @ (^ [D:name,E:name,F:pi]: (output @ (subst_name @ D @ B @ C) @ (subst_name @ E @ B @ C))) @ (^ [D:pi]: (tau)) @ (^ [D:name,E:name,F:pi]: (input @ (subst_name @ D @ B @ C) @ E)) @ (^ [D:name,E:name,F:pi]: (match @ (subst_name @ D @ B @ C) @ (subst_name @ E @ B @ C))) @ (^ [D:name,E:name,F:pi]: (mismatch @ (subst_name @ D @ B @ C) @ (subst_name @ E @ B @ C))) @ (^ [D:pi,E:pi]: (sum)) @ (^ [D:pi,E:pi]: (par)) @ (^ [D:name,E:pi]: (res @ D)) @ (^ [D:pi]: (bang)) @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_240_subs__def)).
64.30/22.36	thf(1071,plain,(((subs) = (^ [A:pi,B:name,C:name]: (pi_rec_pi @ piNil @ (^ [D:name,E:name,F:pi]: (output @ (subst_name @ D @ B @ C) @ (subst_name @ E @ B @ C))) @ (^ [D:pi]: (tau)) @ (^ [D:name,E:name,F:pi]: (input @ (subst_name @ D @ B @ C) @ E)) @ (^ [D:name,E:name,F:pi]: (match @ (subst_name @ D @ B @ C) @ (subst_name @ E @ B @ C))) @ (^ [D:name,E:name,F:pi]: (mismatch @ (subst_name @ D @ B @ C) @ (subst_name @ E @ B @ C))) @ (^ [D:pi,E:pi]: (sum)) @ (^ [D:pi,E:pi]: (par)) @ (^ [D:name,E:pi]: (res @ D)) @ (^ [D:pi]: (bang)) @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[169])).
64.30/22.36	thf(130,axiom,((! [A:pi,B:pi,C:pi]: ((sum @ A @ B) != (bang @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_213_pi_Odistinct_I83_J)).
64.30/22.36	thf(906,plain,((! [A:pi,B:pi,C:pi]: ~ ((sum @ A @ B) = (bang @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[130])).
64.30/22.36	thf(202,axiom,((! [A:name,B:pi,C:name]: (((res @ C @ B) = (res @ A @ (subs @ B @ C @ A))) <= (fresh_name_pi @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_27_substRes2)).
64.30/22.36	thf(1278,plain,((! [A:name,B:pi,C:name]: (((res @ C @ B) = (res @ A @ (subs @ B @ C @ A))) | ~ (fresh_name_pi @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[202])).
64.30/22.36	thf(65,axiom,((! [A:name,B:name,C:pi,D:name,E:name,F:pi]: ((output @ A @ B @ C) != (mismatch @ D @ E @ F)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_177_pi_Odistinct_I25_J)).
64.30/22.36	thf(618,plain,((! [A:name,B:name,C:pi,D:name,E:name,F:pi]: ~ ((output @ A @ B @ C) = (mismatch @ D @ E @ F)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[65])).
64.30/22.36	thf(266,axiom,((! [A:name,B:name,C:pi]: ((fresh_name_pi @ A @ (res @ B @ C)) = (fresh_543891186ion_pi @ A @ (abs_fun_name_pi @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_131_pi_Ofresh_I9_J)).
64.30/22.36	thf(1680,plain,((! [A:name,B:name,C:pi]: ((fresh_name_pi @ A @ (res @ B @ C)) = (fresh_543891186ion_pi @ A @ (abs_fun_name_pi @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[266])).
64.30/22.36	thf(97,axiom,((! [A:late_freeRes,B:name,C:name]: ((finite_finite_name @ (supp_L1228270395s_name @ A)) => ((fresh_785364841reeRes @ B @ (abs_fu681348580reeRes @ C @ A)) = ((fresh_1641682979reeRes @ B @ A) | (B = C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_242_abs__fresh_I2_J)).
64.30/22.36	thf(745,plain,((! [A:late_freeRes,B:name,C:name]: ((finite_finite_name @ (supp_L1228270395s_name @ A)) => ((fresh_785364841reeRes @ B @ (abs_fu681348580reeRes @ C @ A)) = ((fresh_1641682979reeRes @ B @ A) | (B = C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[97])).
64.30/22.36	thf(325,axiom,((! [A:pi]: (late_transitions @ (tau @ A) @ (late_FreeR @ late_TauR @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_120_Tau)).
64.30/22.36	thf(2028,plain,((! [A:pi]: (late_transitions @ (tau @ A) @ (late_FreeR @ late_TauR @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[325])).
64.30/22.36	thf(271,axiom,((! [A:pi,B:name,C:name]: ((subs @ (tau @ A) @ B @ C) = (tau @ (subs @ A @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_100_simps_I2_J)).
64.30/22.36	thf(1698,plain,((! [A:pi,B:name,C:name]: ((subs @ (tau @ A) @ B @ C) = (tau @ (subs @ A @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[271])).
64.30/22.36	thf(178,axiom,((! [A:name,B:name,C:name,D:pi,E:name,F:name,G:pi]: ~ (late_transitions @ (res @ A @ (input @ B @ C @ D)) @ (late_BoundR @ (late_BoundOutputS @ E) @ F @ G)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_124_resInputBoundOutputTrans)).
64.30/22.36	thf(1103,plain,((! [A:name,B:name,C:name,D:pi,E:name,F:name,G:pi]: ~ (late_transitions @ (res @ A @ (input @ B @ C @ D)) @ (late_BoundR @ (late_BoundOutputS @ E) @ F @ G)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[178])).
64.30/22.36	thf(16,axiom,((! [A:(name > $o),B:(name > $o)]: (((collect_name @ A) = (collect_name @ B)) <= (! [C:name]: ((A @ C) = (B @ C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_54_Collect__cong)).
64.30/22.36	thf(375,plain,((! [A:(name > $o),B:(name > $o)]: (((collect_name @ (A)) = (collect_name @ (B))) | ~ (! [C:name]: ((A @ C) = (B @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[16])).
64.30/22.36	thf(93,axiom,((fresh_name_name = (!= @ name))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_98_name__fresh)).
64.30/22.36	thf(733,plain,(((fresh_name_name) = (^ [A:name,B:name]: ~ (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[93])).
64.30/22.36	thf(110,axiom,((! [A:pi]: ((supp_pi_name @ (tau @ A)) = (supp_pi_name @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_292_pi_Osupp_I3_J)).
64.30/22.36	thf(819,plain,((! [A:pi]: ((supp_pi_name @ (tau @ A)) = (supp_pi_name @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[110])).
64.30/22.36	thf(81,axiom,((! [A:name]: ((~ (! [B:name]: ~ (fresh_name_name @ B @ A))) <= (finite_finite_name @ (supp_name_name @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_253_exists__fresh)).
64.30/22.36	thf(694,plain,((! [A:name]: (~ (! [B:name]: ~ (fresh_name_name @ B @ A)) | ~ (finite_finite_name @ (supp_name_name @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[81])).
64.30/22.36	thf(251,axiom,((! [A:name,B:name,C:pi,D:name,E:name]: ((subs @ (output @ A @ B @ C) @ D @ E) = (output @ (subst_name @ A @ D @ E) @ (subst_name @ B @ D @ E) @ (subs @ C @ D @ E))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_126_simps_I3_J)).
64.30/22.36	thf(1615,plain,((! [A:name,B:name,C:pi,D:name,E:name]: ((subs @ (output @ A @ B @ C) @ D @ E) = (output @ (subst_name @ A @ D @ E) @ (subst_name @ B @ D @ E) @ (subs @ C @ D @ E))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[251])).
64.30/22.36	thf(115,axiom,((fresh_name_pi = (^ [A:name,B:pi]: ~ (member_name @ A @ (supp_pi_name @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_284_fresh__def)).
64.30/22.36	thf(843,plain,(((fresh_name_pi) = (^ [A:name,B:pi]: ~ (member_name @ A @ (supp_pi_name @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[115])).
64.30/22.36	thf(103,axiom,((fresh_1641682979reeRes = (^ [A:name,B:late_freeRes]: ~ (member_name @ A @ (supp_L1228270395s_name @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_282_fresh__def)).
64.30/22.36	thf(772,plain,(((fresh_1641682979reeRes) = (^ [A:name,B:late_freeRes]: ~ (member_name @ A @ (supp_L1228270395s_name @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[103])).
64.30/22.36	thf(253,axiom,((! [A:late_freeRes,B:pi,C:late_freeRes,D:pi]: (((late_FreeR @ A @ B) = (late_FreeR @ C @ D)) = ((B = D) & (A = C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_61_residual_Oinject_I2_J)).
64.30/22.36	thf(1620,plain,((! [A:late_freeRes,B:pi,C:late_freeRes,D:pi]: (((late_FreeR @ A @ B) = (late_FreeR @ C @ D)) = ((B = D) & (A = C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[253])).
64.30/22.36	thf(96,axiom,((fresh_543891186ion_pi = (^ [A:name,B:(name > noption_pi)]: ~ (member_name @ A @ (supp_n468628396i_name @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_285_fresh__def)).
64.30/22.36	thf(743,plain,(((fresh_543891186ion_pi) = (^ [A:name,B:(name > noption_pi)]: ~ (member_name @ A @ (supp_n468628396i_name @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[96])).
64.30/22.36	thf(55,axiom,((! [A:name,B:late_subject,C:name,D:pi]: ((fresh_81631222sidual @ A @ (late_BoundR @ B @ C @ D)) = ((fresh_717452603ubject @ A @ B) & (fresh_543891186ion_pi @ A @ (abs_fun_name_pi @ C @ D)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_125_residual_Ofresh_I1_J)).
64.30/22.36	thf(579,plain,((! [A:name,B:late_subject,C:name,D:pi]: ((fresh_81631222sidual @ A @ (late_BoundR @ B @ C @ D)) = ((fresh_717452603ubject @ A @ B) & (fresh_543891186ion_pi @ A @ (abs_fun_name_pi @ C @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[55])).
64.30/22.36	thf(272,axiom,((y != a)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_cClose2_Ohyps_I10_J)).
64.30/22.36	thf(1701,plain,((~ (y = a))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[272])).
64.30/22.36	thf(24,axiom,((! [A:late_subject,B:name,C:pi,D:late_subject,E:name,F:pi]: (((late_BoundR @ A @ B @ C) = (late_BoundR @ D @ E @ F)) = (((abs_fun_name_pi @ B @ C) = (abs_fun_name_pi @ E @ F)) & (A = D))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_136_residual_Oinject_I1_J)).
64.30/22.36	thf(413,plain,((! [A:late_subject,B:name,C:pi,D:late_subject,E:name,F:pi]: (((late_BoundR @ A @ B @ C) = (late_BoundR @ D @ E @ F)) = (((abs_fun_name_pi @ B @ C) = (abs_fun_name_pi @ E @ F)) & (A = D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[24])).
64.30/22.36	thf(54,axiom,((! [A:(late_subject > (name > (pi > late_freeRes))),B:(late_freeRes > (pi > late_freeRes)),C:late_freeRes,D:(late_freeRes > $o),E:late_residual]: (((finite_finite_name @ (supp_L381160156s_name @ B)) => ((finite_finite_name @ (supp_L1228270395s_name @ C)) => ((((! [F:late_subject,G:name]: ((fresh_660367079reeRes @ G @ A) => (((! [H:pi]: ((fresh_1641682979reeRes @ G @ (A @ F @ G @ H)) <= (D @ (A @ F @ G @ H)))) <= (fresh_1641682979reeRes @ G @ C)) <= (fresh_717452603ubject @ G @ F)))) => (? [F:late_freeRes]: ((late_r1613948593reeRes @ A @ B @ E @ F) & ! [G:late_freeRes]: ((late_r1613948593reeRes @ A @ B @ E @ G) => (G = F))))) <= (! [F:late_freeRes,G:pi]: (D @ (B @ F @ G)))) <= (! [F:late_subject,G:name,H:pi]: (D @ (A @ F @ G @ H)))))) <= (finite_finite_name @ (supp_L1178477943s_name @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_332_residual_Orec__unique)).
64.30/22.36	thf(562,plain,((! [A:(late_subject > (name > (pi > late_freeRes))),B:(late_freeRes > (pi > late_freeRes)),C:late_freeRes,D:(late_freeRes > $o),E:late_residual]: (((finite_finite_name @ (supp_L381160156s_name @ (B))) => ((finite_finite_name @ (supp_L1228270395s_name @ C)) => (((! [F:late_subject,G:name]: ((fresh_660367079reeRes @ G @ (A)) => (! [H:pi]: ((fresh_1641682979reeRes @ G @ (A @ F @ G @ H)) | ~ (D @ (A @ F @ G @ H))) | ~ (fresh_1641682979reeRes @ G @ C) | ~ (fresh_717452603ubject @ G @ F)))) => (? [F:late_freeRes]: ((late_r1613948593reeRes @ (A) @ (B) @ E @ F) & ! [G:late_freeRes]: ((late_r1613948593reeRes @ (A) @ (B) @ E @ G) => (G = F))))) | ~ (! [F:late_freeRes,G:pi]: (D @ (B @ F @ G))) | ~ (! [F:late_subject,G:name,H:pi]: (D @ (A @ F @ G @ H)))))) | ~ (finite_finite_name @ (supp_L1178477943s_name @ (A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[54])).
64.30/22.36	thf(129,axiom,((! [A:(name > noption_pi)]: ((finite_finite_name @ (supp_n468628396i_name @ A)) => (? [B:name]: (fresh_543891186ion_pi @ B @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_265_exists__fresh_H)).
64.30/22.36	thf(904,plain,((! [A:(name > noption_pi)]: ((finite_finite_name @ (supp_n468628396i_name @ (A))) => (? [B:name]: (fresh_543891186ion_pi @ B @ (A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[129])).
64.30/22.36	thf(19,axiom,((! [A:name,B:name,C:name]: (((abs_fun_name_name @ A @ B) = (abs_fun_name_name @ A @ C)) = (B = C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_180_abs__fun__eq1)).
64.30/22.36	thf(382,plain,((! [A:name,B:name,C:name]: (((abs_fun_name_name @ A @ B) = (abs_fun_name_name @ A @ C)) = (B = C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[19])).
64.30/22.36	thf(257,axiom,((! [A:name,B:late_residual]: ~ (late_transitions @ (res @ A @ piNil) @ B))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_233_resZeroTrans)).
64.30/22.36	thf(1635,plain,((! [A:name,B:late_residual]: ~ (late_transitions @ (res @ A @ piNil) @ B))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[257])).
64.30/22.36	thf(333,axiom,((! [A:pi,B:name,C:name,D:pi]: (((B != C) => (late_transitions @ (res @ C @ A) @ (late_BoundR @ (late_BoundOutputS @ B) @ C @ D))) <= (late_transitions @ A @ (late_FreeR @ (late_OutputR @ B @ C) @ D))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_70_Open)).
64.30/22.36	thf(2055,plain,((! [A:pi,B:name,C:name,D:pi]: (((~ (B = C)) => (late_transitions @ (res @ C @ A) @ (late_BoundR @ (late_BoundOutputS @ B) @ C @ D))) | ~ (late_transitions @ A @ (late_FreeR @ (late_OutputR @ B @ C) @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[333])).
64.30/22.36	thf(304,axiom,((! [A:pi,B:pi,C:pi]: ((par @ A @ B) != (bang @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_201_pi_Odistinct_I87_J)).
64.30/22.36	thf(1897,plain,((! [A:pi,B:pi,C:pi]: ~ ((par @ A @ B) = (bang @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[304])).
64.30/22.36	thf(258,axiom,((! [A:pi,B:late_residual,C:name]: (((fresh_81631222sidual @ C @ B) <= (fresh_name_pi @ C @ A)) <= (late_transitions @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_83_freshResidual)).
64.30/22.36	thf(1638,plain,((! [A:pi,B:late_residual,C:name]: ((fresh_81631222sidual @ C @ B) | ~ (fresh_name_pi @ C @ A) | ~ (late_transitions @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[258])).
64.30/22.36	thf(7,axiom,((! [A:set_name]: ((collect_name @ (^ [B:name]: (member_name @ B @ A))) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_53_Collect__mem__eq)).
64.30/22.36	thf(350,plain,((! [A:set_name]: ((collect_name @ (^ [B:name]: (member_name @ B @ A))) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[7])).
64.30/22.36	thf(199,axiom,((! [A:pi,B:name,C:name]: ((subs @ (bang @ A) @ B @ C) = (bang @ (subs @ A @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_196_simps_I10_J)).
64.30/22.36	thf(1258,plain,((! [A:pi,B:name,C:name]: ((subs @ (bang @ A) @ B @ C) = (bang @ (subs @ A @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[199])).
64.30/22.36	thf(85,axiom,((! [A:pi]: (piNil != (tau @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_216_pi_Odistinct_I3_J)).
64.30/22.36	thf(704,plain,((! [A:pi]: ~ (piNil = (tau @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[85])).
64.30/22.36	thf(60,axiom,((! [A:pi,B:pi,C:pi,D:pi]: (((sum @ A @ B) = (sum @ C @ D)) = ((A = C) & (B = D))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_214_pi_Oinject_I6_J)).
64.30/22.36	thf(604,plain,((! [A:pi,B:pi,C:pi,D:pi]: (((sum @ A @ B) = (sum @ C @ D)) = ((A = C) & (B = D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[60])).
64.30/22.36	thf(114,axiom,((! [A:(late_subject > (name > (pi > late_subject))),B:(late_freeRes > (pi > late_subject)),C:late_freeRes,D:(late_subject > $o),E:name,F:late_subject,G:pi]: ((((((! [H:late_freeRes,I:pi]: (D @ (B @ H @ I))) => (((fresh_795910143ubject @ E @ A) => ((((late_r1347955901ubject @ A @ B @ (late_BoundR @ F @ E @ G)) = (A @ F @ E @ G)) <= (fresh_717452603ubject @ E @ F)) <= (fresh_198785932ubject @ E @ B))) <= (! [H:late_subject,I:name,J:pi]: ((((fresh_1641682979reeRes @ I @ C) => ((fresh_717452603ubject @ I @ (A @ H @ I @ J)) <= (D @ (A @ H @ I @ J)))) <= (fresh_717452603ubject @ I @ H)) <= (fresh_795910143ubject @ I @ A))))) <= (! [H:late_subject,I:name,J:pi]: (D @ (A @ H @ I @ J)))) <= (finite_finite_name @ (supp_L1228270395s_name @ C))) <= (finite_finite_name @ (supp_L1759672260t_name @ B))) <= (finite_finite_name @ (supp_L1144036959t_name @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_314_residual_Orecs_I1_J)).
64.30/22.36	thf(831,plain,((! [A:(late_subject > (name > (pi > late_subject))),B:(late_freeRes > (pi > late_subject)),C:late_freeRes,D:(late_subject > $o),E:name,F:late_subject,G:pi]: (((! [H:late_freeRes,I:pi]: (D @ (B @ H @ I))) => (((fresh_795910143ubject @ E @ (A)) => (((late_r1347955901ubject @ (A) @ (B) @ (late_BoundR @ F @ E @ G)) = (A @ F @ E @ G)) | ~ (fresh_717452603ubject @ E @ F) | ~ (fresh_198785932ubject @ E @ (B)))) | ~ (! [H:late_subject,I:name,J:pi]: (((fresh_1641682979reeRes @ I @ C) => ((fresh_717452603ubject @ I @ (A @ H @ I @ J)) | ~ (D @ (A @ H @ I @ J)))) | ~ (fresh_717452603ubject @ I @ H) | ~ (fresh_795910143ubject @ I @ (A)))))) | ~ (! [H:late_subject,I:name,J:pi]: (D @ (A @ H @ I @ J))) | ~ (finite_finite_name @ (supp_L1228270395s_name @ C)) | ~ (finite_finite_name @ (supp_L1759672260t_name @ (B))) | ~ (finite_finite_name @ (supp_L1144036959t_name @ (A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[114])).
64.30/22.36	thf(203,axiom,((! [A:pi,B:pi,C:pi]: ((tau @ A) != (par @ B @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_107_pi_Odistinct_I43_J)).
64.30/22.36	thf(1282,plain,((! [A:pi,B:pi,C:pi]: ~ ((tau @ A) = (par @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[203])).
64.30/22.36	thf(235,axiom,((! [A:name,B:late_freeRes,C:pi]: ((fresh_81631222sidual @ A @ (late_FreeR @ B @ C)) = ((fresh_name_pi @ A @ C) & (fresh_1641682979reeRes @ A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_75_residual_Ofresh_I2_J)).
64.30/22.36	thf(1524,plain,((! [A:name,B:late_freeRes,C:pi]: ((fresh_81631222sidual @ A @ (late_FreeR @ B @ C)) = ((fresh_name_pi @ A @ C) & (fresh_1641682979reeRes @ A @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[235])).
64.30/22.36	thf(289,axiom,((! [A:(late_freeRes > (pi > $o)),B:late_freeRes,C:pi]: ((! [D:late_freeRes]: (A @ D @ piNil)) => (((! [D:pi,E:late_freeRes]: ((A @ E @ (tau @ D)) <= (! [F:late_freeRes]: (A @ F @ D)))) => ((! [D:name,E:name,F:pi,G:late_freeRes]: ((((A @ G @ (input @ D @ E @ F)) <= (! [H:late_freeRes]: (A @ H @ F))) <= (fresh_name_name @ E @ D)) <= (fresh_1641682979reeRes @ E @ G))) => ((! [D:name,E:name,F:pi,G:late_freeRes]: ((! [H:late_freeRes]: (A @ H @ F)) => (A @ G @ (match @ D @ E @ F)))) => ((! [D:name,E:name,F:pi,G:late_freeRes]: ((A @ G @ (mismatch @ D @ E @ F)) <= (! [H:late_freeRes]: (A @ H @ F)))) => (((! [D:pi,E:pi,F:late_freeRes]: (((! [G:late_freeRes]: (A @ G @ E)) => (A @ F @ (par @ D @ E))) <= (! [G:late_freeRes]: (A @ G @ D)))) => (((A @ B @ C) <= (! [D:pi,E:late_freeRes]: ((A @ E @ (bang @ D)) <= (! [F:late_freeRes]: (A @ F @ D))))) <= (! [D:name,E:pi,F:late_freeRes]: ((fresh_1641682979reeRes @ D @ F) => ((A @ F @ (res @ D @ E)) <= (! [G:late_freeRes]: (A @ G @ E))))))) <= (! [D:pi,E:pi,F:late_freeRes]: (((A @ F @ (sum @ D @ E)) <= (! [G:late_freeRes]: (A @ G @ E))) <= (! [G:late_freeRes]: (A @ G @ D))))))))) <= (! [D:name,E:name,F:pi,G:late_freeRes]: ((A @ G @ (output @ D @ E @ F)) <= (! [H:late_freeRes]: (A @ H @ F)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_190_pi_Ostrong__induct)).
64.30/22.36	thf(1771,plain,((! [A:(late_freeRes > (pi > $o)),B:late_freeRes,C:pi]: ((! [D:late_freeRes]: (A @ D @ piNil)) => (((! [D:pi,E:late_freeRes]: ((A @ E @ (tau @ D)) | ~ (! [F:late_freeRes]: (A @ F @ D)))) => ((! [D:name,E:name,F:pi,G:late_freeRes]: ((A @ G @ (input @ D @ E @ F)) | ~ (! [H:late_freeRes]: (A @ H @ F)) | ~ (fresh_name_name @ E @ D) | ~ (fresh_1641682979reeRes @ E @ G))) => ((! [D:name,E:name,F:pi,G:late_freeRes]: ((! [H:late_freeRes]: (A @ H @ F)) => (A @ G @ (match @ D @ E @ F)))) => ((! [D:name,E:name,F:pi,G:late_freeRes]: ((A @ G @ (mismatch @ D @ E @ F)) | ~ (! [H:late_freeRes]: (A @ H @ F)))) => (((! [D:pi,E:pi,F:late_freeRes]: (((! [G:late_freeRes]: (A @ G @ E)) => (A @ F @ (par @ D @ E))) | ~ (! [G:late_freeRes]: (A @ G @ D)))) => ((A @ B @ C) | ~ (! [D:pi,E:late_freeRes]: ((A @ E @ (bang @ D)) | ~ (! [F:late_freeRes]: (A @ F @ D)))) | ~ (! [D:name,E:pi,F:late_freeRes]: ((fresh_1641682979reeRes @ D @ F) => ((A @ F @ (res @ D @ E)) | ~ (! [G:late_freeRes]: (A @ G @ E))))))) | ~ (! [D:pi,E:pi,F:late_freeRes]: ((A @ F @ (sum @ D @ E)) | ~ (! [G:late_freeRes]: (A @ G @ E)) | ~ (! [G:late_freeRes]: (A @ G @ D))))))))) | ~ (! [D:name,E:name,F:pi,G:late_freeRes]: ((A @ G @ (output @ D @ E @ F)) | ~ (! [H:late_freeRes]: (A @ H @ F)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[289])).
64.30/22.36	thf(183,axiom,((! [A:name,B:name,C:pi,D:late_residual]: ((~ (! [E:pi]: (((B = A) & (C = E)) => (~ (late_transitions @ E @ D))))) <= (late_transitions @ (match @ A @ B @ C) @ D)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_167_matchCases_H)).
64.30/22.36	thf(1122,plain,((! [A:name,B:name,C:pi,D:late_residual]: (~ (! [E:pi]: (((B = A) & (C = E)) => (~ (late_transitions @ E @ D)))) | ~ (late_transitions @ (match @ A @ B @ C) @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[183])).
64.30/22.36	thf(58,axiom,((! [A:name,B:name,C:name]: ((fresh_1641682979reeRes @ A @ (late_OutputR @ B @ C)) = ((fresh_name_name @ A @ B) & (fresh_name_name @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_71_freeRes_Ofresh_I1_J)).
64.30/22.36	thf(599,plain,((! [A:name,B:name,C:name]: ((fresh_1641682979reeRes @ A @ (late_OutputR @ B @ C)) = ((fresh_name_name @ A @ B) & (fresh_name_name @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[58])).
64.30/22.36	thf(44,axiom,((! [A:(late_subject > (name > (pi > late_subject))),B:(late_freeRes > (pi > late_subject)),C:late_subject,D:(late_subject > $o),E:name,F:late_subject,G:pi]: ((finite_finite_name @ (supp_L1144036959t_name @ A)) => (((((! [H:late_freeRes,I:pi]: (D @ (B @ H @ I))) => ((! [H:late_subject,I:name,J:pi]: (((fresh_717452603ubject @ I @ H) => (((fresh_717452603ubject @ I @ (A @ H @ I @ J)) <= (D @ (A @ H @ I @ J))) <= (fresh_717452603ubject @ I @ C))) <= (fresh_795910143ubject @ I @ A))) => ((fresh_795910143ubject @ E @ A) => (((fresh_717452603ubject @ E @ F) => ((late_r1347955901ubject @ A @ B @ (late_BoundR @ F @ E @ G)) = (A @ F @ E @ G))) <= (fresh_198785932ubject @ E @ B))))) <= (! [H:late_subject,I:name,J:pi]: (D @ (A @ H @ I @ J)))) <= (finite_finite_name @ (supp_L1174290467t_name @ C))) <= (finite_finite_name @ (supp_L1759672260t_name @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_310_residual_Orecs_I1_J)).
64.30/22.36	thf(509,plain,((! [A:(late_subject > (name > (pi > late_subject))),B:(late_freeRes > (pi > late_subject)),C:late_subject,D:(late_subject > $o),E:name,F:late_subject,G:pi]: ((finite_finite_name @ (supp_L1144036959t_name @ (A))) => (((! [H:late_freeRes,I:pi]: (D @ (B @ H @ I))) => ((! [H:late_subject,I:name,J:pi]: (((fresh_717452603ubject @ I @ H) => ((fresh_717452603ubject @ I @ (A @ H @ I @ J)) | ~ (D @ (A @ H @ I @ J)) | ~ (fresh_717452603ubject @ I @ C))) | ~ (fresh_795910143ubject @ I @ (A)))) => ((fresh_795910143ubject @ E @ (A)) => (((fresh_717452603ubject @ E @ F) => ((late_r1347955901ubject @ (A) @ (B) @ (late_BoundR @ F @ E @ G)) = (A @ F @ E @ G))) | ~ (fresh_198785932ubject @ E @ (B)))))) | ~ (! [H:late_subject,I:name,J:pi]: (D @ (A @ H @ I @ J))) | ~ (finite_finite_name @ (supp_L1174290467t_name @ C)) | ~ (finite_finite_name @ (supp_L1759672260t_name @ (B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[44])).
64.30/22.36	thf(163,axiom,((! [A:pi,B:late_residual,C:name,D:name]: ((late_transitions @ A @ B) => ((C != D) => (late_transitions @ (mismatch @ C @ D @ A) @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_162_Mismatch)).
64.30/22.36	thf(1043,plain,((! [A:pi,B:late_residual,C:name,D:name]: ((late_transitions @ A @ B) => ((~ (C = D)) => (late_transitions @ (mismatch @ C @ D @ A) @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[163])).
64.30/22.36	thf(39,axiom,((! [A:pi,B:name,C:name,D:pi]: ((tau @ A) != (input @ B @ C @ D)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_148_pi_Odistinct_I35_J)).
64.30/22.36	thf(477,plain,((! [A:pi,B:name,C:name,D:pi]: ~ ((tau @ A) = (input @ B @ C @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[39])).
64.30/22.36	thf(324,axiom,((! [A:name,B:name,C:pi,D:late_freeRes,E:pi]: ~ (late_transitions @ (input @ A @ B @ C) @ (late_FreeR @ D @ E)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_151_inputFreeTrans)).
64.30/22.36	thf(2025,plain,((! [A:name,B:name,C:pi,D:late_freeRes,E:pi]: ~ (late_transitions @ (input @ A @ B @ C) @ (late_FreeR @ D @ E)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[324])).
64.30/22.36	thf(108,axiom,((! [A:name,B:name,C:name,D:pi]: ((fresh_name_pi @ A @ (input @ B @ C @ D)) = ((fresh_543891186ion_pi @ A @ (abs_fun_name_pi @ C @ D)) & (fresh_name_name @ A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_132_pi_Ofresh_I4_J)).
64.30/22.36	thf(799,plain,((! [A:name,B:name,C:name,D:pi]: ((fresh_name_pi @ A @ (input @ B @ C @ D)) = ((fresh_543891186ion_pi @ A @ (abs_fun_name_pi @ C @ D)) & (fresh_name_name @ A @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[108])).
64.30/22.36	thf(41,axiom,((! [A:(late_subject > (name > (pi > pi))),B:(late_freeRes > (pi > pi)),C:late_subject,D:(pi > $o),E:late_residual]: ((((finite_finite_name @ (supp_L1174290467t_name @ C)) => ((((? [F:pi]: (! [G:pi]: ((G = F) <= (late_r1261898622set_pi @ A @ B @ E @ G)) & (late_r1261898622set_pi @ A @ B @ E @ F))) <= (! [F:late_subject,G:name]: ((fresh_1438126218_pi_pi @ G @ A) => (((! [H:pi]: ((fresh_name_pi @ G @ (A @ F @ G @ H)) <= (D @ (A @ F @ G @ H)))) <= (fresh_717452603ubject @ G @ C)) <= (fresh_717452603ubject @ G @ F))))) <= (! [F:late_freeRes,G:pi]: (D @ (B @ F @ G)))) <= (! [F:late_subject,G:name,H:pi]: (D @ (A @ F @ G @ H))))) <= (finite_finite_name @ (supp_L2052723895i_name @ B))) <= (finite_finite_name @ (supp_L729745222i_name @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_330_residual_Orec__unique)).
64.30/22.36	thf(483,plain,((! [A:(late_subject > (name > (pi > pi))),B:(late_freeRes > (pi > pi)),C:late_subject,D:(pi > $o),E:late_residual]: (((finite_finite_name @ (supp_L1174290467t_name @ C)) => (? [F:pi]: (! [G:pi]: ((G = F) | ~ (late_r1261898622set_pi @ (A) @ (B) @ E @ G)) & (late_r1261898622set_pi @ (A) @ (B) @ E @ F)) | ~ (! [F:late_subject,G:name]: ((fresh_1438126218_pi_pi @ G @ (A)) => (! [H:pi]: ((fresh_name_pi @ G @ (A @ F @ G @ H)) | ~ (D @ (A @ F @ G @ H))) | ~ (fresh_717452603ubject @ G @ C) | ~ (fresh_717452603ubject @ G @ F)))) | ~ (! [F:late_freeRes,G:pi]: (D @ (B @ F @ G))) | ~ (! [F:late_subject,G:name,H:pi]: (D @ (A @ F @ G @ H))))) | ~ (finite_finite_name @ (supp_L2052723895i_name @ (B))) | ~ (finite_finite_name @ (supp_L729745222i_name @ (A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[41])).
64.30/22.36	thf(83,axiom,((! [A:(late_freeRes > (pi > late_freeRes))]: ((? [B:name]: (fresh_256112244reeRes @ B @ A)) <= (finite_finite_name @ (supp_L381160156s_name @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_270_exists__fresh_H)).
64.30/22.36	thf(700,plain,((! [A:(late_freeRes > (pi > late_freeRes))]: (? [B:name]: (fresh_256112244reeRes @ B @ (A)) | ~ (finite_finite_name @ (supp_L381160156s_name @ (A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[83])).
64.30/22.36	thf(67,axiom,((! [A:name,B:name]: (((late_BoundOutputS @ A) = (late_BoundOutputS @ B)) = (A = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_29_Late__Semantics_Osubject_Oinject_I2_J)).
64.30/22.36	thf(626,plain,((! [A:name,B:name]: (((late_BoundOutputS @ A) = (late_BoundOutputS @ B)) = (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[67])).
64.30/22.36	thf(102,axiom,((! [A:name,B:name,C:name,D:pi]: ((fresh_name_pi @ A @ (output @ B @ C @ D)) = ((fresh_name_name @ A @ C) & (fresh_name_pi @ A @ D) & (fresh_name_name @ A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_101_pi_Ofresh_I2_J)).
64.30/22.36	thf(769,plain,((! [A:name,B:name,C:name,D:pi]: ((fresh_name_pi @ A @ (output @ B @ C @ D)) = ((fresh_name_name @ A @ C) & (fresh_name_pi @ A @ D) & (fresh_name_name @ A @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[102])).
64.30/22.36	thf(142,axiom,((! [A:pi]: ((finite_finite_name @ (supp_pi_name @ A)) => (~ (! [B:name]: ~ (fresh_name_pi @ B @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_254_exists__fresh)).
64.30/22.36	thf(943,plain,((! [A:pi]: ((finite_finite_name @ (supp_pi_name @ A)) => (~ (! [B:name]: ~ (fresh_name_pi @ B @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[142])).
64.30/22.36	thf(298,axiom,((! [A:name,B:name,C:name,D:pi,E:name,F:name,G:pi]: ~ (late_transitions @ (res @ A @ (output @ B @ C @ D)) @ (late_BoundR @ (late_InputS @ E) @ F @ G)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_97_resOutputInputTrans)).
64.30/22.36	thf(1877,plain,((! [A:name,B:name,C:name,D:pi,E:name,F:name,G:pi]: ~ (late_transitions @ (res @ A @ (output @ B @ C @ D)) @ (late_BoundR @ (late_InputS @ E) @ F @ G)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[298])).
64.30/22.36	thf(230,axiom,((! [A:name,B:name,C:pi,D:late_residual]: ((~ (! [E:pi,F:name,G:name]: (((C = E) & (B = G) & (A = F)) => ((late_transitions @ E @ D) => (F = G))))) <= (late_transitions @ (mismatch @ A @ B @ C) @ D)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_164_mismatchCases_H)).
64.30/22.36	thf(1471,plain,((! [A:name,B:name,C:pi,D:late_residual]: (~ (! [E:pi,F:name,G:name]: (((C = E) & (B = G) & (A = F)) => ((late_transitions @ E @ D) => (F = G)))) | ~ (late_transitions @ (mismatch @ A @ B @ C) @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[230])).
64.30/22.36	thf(51,axiom,((! [A:name,B:name,C:pi,D:pi,E:pi]: ((input @ A @ B @ C) != (sum @ D @ E)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_200_pi_Odistinct_I53_J)).
64.30/22.36	thf(552,plain,((! [A:name,B:name,C:pi,D:pi,E:pi]: ~ ((input @ A @ B @ C) = (sum @ D @ E)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[51])).
64.30/22.36	thf(13,axiom,((! [A:name,B:name,C:name]: ((fresh_1093033124n_name @ A @ (abs_fun_name_name @ B @ C)) = ((A = B) | (fresh_name_name @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_139_name__fresh__abs)).
64.30/22.36	thf(367,plain,((! [A:name,B:name,C:name]: ((fresh_1093033124n_name @ A @ (abs_fun_name_name @ B @ C)) = ((A = B) | (fresh_name_name @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[13])).
64.30/22.36	thf(243,axiom,((! [A:name,B:name,C:pi,D:late_subject,E:name,F:pi]: ((~ (fresh_717452603ubject @ A @ D)) <= (late_transitions @ (input @ A @ B @ C) @ (late_BoundR @ D @ E @ F))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_127_inputIneqTrans)).
64.30/22.36	thf(1557,plain,((! [A:name,B:name,C:pi,D:late_subject,E:name,F:pi]: (~ (fresh_717452603ubject @ A @ D) | ~ (late_transitions @ (input @ A @ B @ C) @ (late_BoundR @ D @ E @ F))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[243])).
64.30/22.36	thf(206,axiom,((! [A:name,B:name,C:pi,D:name,E:name,F:pi]: ~ (late_transitions @ (input @ A @ B @ C) @ (late_BoundR @ (late_BoundOutputS @ D) @ E @ F)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_153_inputBoundOutputTrans)).
64.30/22.36	thf(1293,plain,((! [A:name,B:name,C:pi,D:name,E:name,F:pi]: ~ (late_transitions @ (input @ A @ B @ C) @ (late_BoundR @ (late_BoundOutputS @ D) @ E @ F)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[206])).
64.30/22.36	thf(76,axiom,((! [A:pi]: ~ (! [B:name]: ~ (fresh_name_pi @ B @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_36_name__exists__fresh)).
64.30/22.36	thf(668,plain,((! [A:pi]: ~ (! [B:name]: ~ (fresh_name_pi @ B @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[76])).
64.30/22.36	thf(45,axiom,((! [A:(late_subject > (name > (pi > name))),B:(late_freeRes > (pi > name)),C:late_residual,D:name,E:name]: ((finite_finite_name @ (supp_L538372628e_name @ A)) => (((late_r1742481968t_name @ A @ B @ C @ D) => (((fresh_81631222sidual @ E @ C) => (((fresh_1030632537i_name @ E @ B) => (fresh_name_name @ E @ D)) <= (fresh_621211324i_name @ E @ A))) <= (! [F:name]: ((late_r1742481968t_name @ A @ B @ C @ F) => (F = D))))) <= (finite_finite_name @ (supp_L926407557e_name @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_324_residual_Orec__fresh)).
64.30/22.36	thf(521,plain,((! [A:(late_subject > (name > (pi > name))),B:(late_freeRes > (pi > name)),C:late_residual,D:name,E:name]: ((finite_finite_name @ (supp_L538372628e_name @ (A))) => (((late_r1742481968t_name @ (A) @ (B) @ C @ D) => (((fresh_81631222sidual @ E @ C) => (((fresh_1030632537i_name @ E @ (B)) => (fresh_name_name @ E @ D)) | ~ (fresh_621211324i_name @ E @ (A)))) | ~ (! [F:name]: ((late_r1742481968t_name @ (A) @ (B) @ C @ F) => (F = D))))) | ~ (finite_finite_name @ (supp_L926407557e_name @ (B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[45])).
64.30/22.36	thf(248,axiom,((! [A:(late_subject > (name > (pi > late_freeRes))),B:(late_freeRes > (pi > late_freeRes)),C:late_freeRes,D:(late_freeRes > $o),E:late_freeRes,F:pi]: (((finite_finite_name @ (supp_L381160156s_name @ B)) => ((finite_finite_name @ (supp_L1228270395s_name @ C)) => ((! [G:late_subject,H:name,I:pi]: (D @ (A @ G @ H @ I))) => ((! [G:late_freeRes,H:pi]: (D @ (B @ G @ H))) => (((late_r124702629reeRes @ A @ B @ (late_FreeR @ E @ F)) = (B @ E @ F)) <= (! [G:late_subject,H:name,I:pi]: (((((D @ (A @ G @ H @ I)) => (fresh_1641682979reeRes @ H @ (A @ G @ H @ I))) <= (fresh_1641682979reeRes @ H @ C)) <= (fresh_717452603ubject @ H @ G)) <= (fresh_660367079reeRes @ H @ A)))))))) <= (finite_finite_name @ (supp_L1178477943s_name @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_305_residual_Orecs_I2_J)).
64.30/22.36	thf(1594,plain,((! [A:(late_subject > (name > (pi > late_freeRes))),B:(late_freeRes > (pi > late_freeRes)),C:late_freeRes,D:(late_freeRes > $o),E:late_freeRes,F:pi]: (((finite_finite_name @ (supp_L381160156s_name @ (B))) => ((finite_finite_name @ (supp_L1228270395s_name @ C)) => ((! [G:late_subject,H:name,I:pi]: (D @ (A @ G @ H @ I))) => ((! [G:late_freeRes,H:pi]: (D @ (B @ G @ H))) => (((late_r124702629reeRes @ (A) @ (B) @ (late_FreeR @ E @ F)) = (B @ E @ F)) | ~ (! [G:late_subject,H:name,I:pi]: (((D @ (A @ G @ H @ I)) => (fresh_1641682979reeRes @ H @ (A @ G @ H @ I))) | ~ (fresh_1641682979reeRes @ H @ C) | ~ (fresh_717452603ubject @ H @ G) | ~ (fresh_660367079reeRes @ H @ (A))))))))) | ~ (finite_finite_name @ (supp_L1178477943s_name @ (A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[248])).
64.30/22.36	thf(147,axiom,((! [A:name,B:name]: ((fresh_717452603ubject @ A @ (late_InputS @ B)) = (fresh_name_name @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_77_subject_Ofresh_I1_J)).
64.30/22.36	thf(959,plain,((! [A:name,B:name]: ((fresh_717452603ubject @ A @ (late_InputS @ B)) = (fresh_name_name @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[147])).
64.30/22.36	thf(113,axiom,((! [A:name,B:name,C:pi,D:pi]: ((output @ A @ B @ C) != (tau @ D)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_102_pi_Odistinct_I19_J)).
64.30/22.36	thf(827,plain,((! [A:name,B:name,C:pi,D:pi]: ~ ((output @ A @ B @ C) = (tau @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[113])).
64.30/22.36	thf(106,axiom,((! [A:(late_subject > (name > (pi > late_subject))),B:(late_freeRes > (pi > late_subject)),C:late_subject,D:(late_subject > $o),E:late_residual]: ((finite_finite_name @ (supp_L1144036959t_name @ A)) => (((finite_finite_name @ (supp_L1174290467t_name @ C)) => ((! [F:late_subject,G:name,H:pi]: (D @ (A @ F @ G @ H))) => ((! [F:late_freeRes,G:pi]: (D @ (B @ F @ G))) => ((? [F:late_subject]: ((late_r689718217ubject @ A @ B @ E @ F) & ! [G:late_subject]: ((late_r689718217ubject @ A @ B @ E @ G) => (G = F)))) <= (! [F:late_subject,G:name]: ((fresh_795910143ubject @ G @ A) => (((fresh_717452603ubject @ G @ C) => (! [H:pi]: ((D @ (A @ F @ G @ H)) => (fresh_717452603ubject @ G @ (A @ F @ G @ H))))) <= (fresh_717452603ubject @ G @ F)))))))) <= (finite_finite_name @ (supp_L1759672260t_name @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_327_residual_Orec__unique)).
64.30/22.36	thf(780,plain,((! [A:(late_subject > (name > (pi > late_subject))),B:(late_freeRes > (pi > late_subject)),C:late_subject,D:(late_subject > $o),E:late_residual]: ((finite_finite_name @ (supp_L1144036959t_name @ (A))) => (((finite_finite_name @ (supp_L1174290467t_name @ C)) => ((! [F:late_subject,G:name,H:pi]: (D @ (A @ F @ G @ H))) => ((! [F:late_freeRes,G:pi]: (D @ (B @ F @ G))) => (? [F:late_subject]: ((late_r689718217ubject @ (A) @ (B) @ E @ F) & ! [G:late_subject]: ((late_r689718217ubject @ (A) @ (B) @ E @ G) => (G = F))) | ~ (! [F:late_subject,G:name]: ((fresh_795910143ubject @ G @ (A)) => (((fresh_717452603ubject @ G @ C) => (! [H:pi]: ((D @ (A @ F @ G @ H)) => (fresh_717452603ubject @ G @ (A @ F @ G @ H))))) | ~ (fresh_717452603ubject @ G @ F)))))))) | ~ (finite_finite_name @ (supp_L1759672260t_name @ (B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[106])).
64.30/22.36	thf(157,axiom,((! [A:(late_freeRes > (pi > late_subject)),B:name,C:name]: ((finite_finite_name @ (supp_L1759672260t_name @ A)) => ((fresh_1644004594ubject @ B @ (abs_fu888821131ubject @ C @ A)) = ((fresh_198785932ubject @ B @ A) | (B = C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_249_abs__fresh_I2_J)).
64.30/22.36	thf(1015,plain,((! [A:(late_freeRes > (pi > late_subject)),B:name,C:name]: ((finite_finite_name @ (supp_L1759672260t_name @ (A))) => ((fresh_1644004594ubject @ B @ (abs_fu888821131ubject @ C @ A)) = ((fresh_198785932ubject @ B @ (A)) | (B = C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[157])).
64.30/22.36	thf(187,axiom,((! [A:(pi > (late_residual > $o)),B:pi,C:late_residual]: (((A @ B @ C) <= (! [D:late_freeRes,E:pi,F:pi]: (A @ F @ (late_FreeR @ D @ E)))) <= (! [D:late_subject,E:name,F:pi,G:pi]: ((fresh_name_pi @ E @ G) => ((fresh_717452603ubject @ E @ D) => (A @ G @ (late_BoundR @ D @ E @ F)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_45_residual_Ostrong__induct)).
64.30/22.36	thf(1176,plain,((! [A:(pi > (late_residual > $o)),B:pi,C:late_residual]: ((A @ B @ C) | ~ (! [D:late_freeRes,E:pi,F:pi]: (A @ F @ (late_FreeR @ D @ E))) | ~ (! [D:late_subject,E:name,F:pi,G:pi]: ((fresh_name_pi @ E @ G) => ((fresh_717452603ubject @ E @ D) => (A @ G @ (late_BoundR @ D @ E @ F)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[187])).
64.30/22.36	thf(181,axiom,((! [A:late_residual]: ~ (late_transitions @ piNil @ A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_222_zeroTrans)).
64.30/22.36	thf(1113,plain,((! [A:late_residual]: ~ (late_transitions @ piNil @ A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[181])).
64.30/22.36	thf(71,axiom,((! [A:name,B:pi,C:pi]: (((abs_fun_name_pi @ A @ B) = (abs_fun_name_pi @ A @ C)) = (B = C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_184_abs__fun__eq1)).
64.30/22.36	thf(653,plain,((! [A:name,B:pi,C:pi]: (((abs_fun_name_pi @ A @ B) = (abs_fun_name_pi @ A @ C)) = (B = C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[71])).
64.30/22.36	thf(73,axiom,((! [A:pi,B:pi]: (((bang @ A) = (bang @ B)) = (A = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_215_pi_Oinject_I9_J)).
64.30/22.36	thf(658,plain,((! [A:pi,B:pi]: (((bang @ A) = (bang @ B)) = (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[73])).
64.30/22.36	thf(255,axiom,((! [A:name]: (fresh_1641682979reeRes @ A @ late_TauR))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_74_freeRes_Ofresh_I2_J)).
64.30/22.36	thf(1626,plain,((! [A:name]: (fresh_1641682979reeRes @ A @ late_TauR))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[255])).
64.30/22.36	thf(297,axiom,((! [A:name,B:name,C:pi,D:name,E:pi]: ((output @ A @ B @ C) != (res @ D @ E)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_106_pi_Odistinct_I31_J)).
64.30/22.36	thf(1873,plain,((! [A:name,B:name,C:pi,D:name,E:pi]: ~ ((output @ A @ B @ C) = (res @ D @ E)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[297])).
64.30/22.36	thf(194,axiom,((! [A:name,B:name,C:name,D:pi,E:pi]: ~ (late_transitions @ (res @ A @ (output @ B @ C @ D)) @ (late_FreeR @ late_TauR @ E)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_96_resOutputTauTrans)).
64.30/22.36	thf(1208,plain,((! [A:name,B:name,C:name,D:pi,E:pi]: ~ (late_transitions @ (res @ A @ (output @ B @ C @ D)) @ (late_FreeR @ late_TauR @ E)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[194])).
64.30/22.36	thf(50,axiom,((! [A:(late_freeRes > (pi > late_freeRes)),B:name,C:name]: (((fresh_111433690reeRes @ B @ (abs_fu946147443reeRes @ C @ A)) = ((fresh_256112244reeRes @ B @ A) | (B = C))) <= (finite_finite_name @ (supp_L381160156s_name @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_250_abs__fresh_I2_J)).
64.30/22.36	thf(548,plain,((! [A:(late_freeRes > (pi > late_freeRes)),B:name,C:name]: (((fresh_111433690reeRes @ B @ (abs_fu946147443reeRes @ C @ A)) = ((fresh_256112244reeRes @ B @ (A)) | (B = C))) | ~ (finite_finite_name @ (supp_L381160156s_name @ (A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[50])).
64.30/22.36	thf(98,axiom,((! [A:name]: ((supp_L1174290467t_name @ (late_BoundOutputS @ A)) = (supp_name_name @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_293_subject_Osupp_I2_J)).
64.30/22.36	thf(749,plain,((! [A:name]: ((supp_L1174290467t_name @ (late_BoundOutputS @ A)) = (supp_name_name @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[98])).
64.30/22.36	thf(320,axiom,((! [A:name,B:pi,C:late_subject,D:name,E:pi]: ((late_transitions @ (res @ A @ B) @ (late_BoundR @ C @ D @ E)) => ((~ (! [F:pi,G:late_subject,H:name,I:pi,J:name]: ((((late_transitions @ F @ (late_BoundR @ G @ H @ I)) => ((fresh_717452603ubject @ J @ G) => (((fresh_name_pi @ H @ F) => (~ (fresh_717452603ubject @ H @ G))) <= (J != H)))) <= ((late_BoundR @ C @ D @ E) = (late_BoundR @ G @ H @ (res @ J @ I)))) <= ((res @ A @ B) = (res @ J @ F))))) <= (! [F:pi,G:name,H:name]: (((res @ A @ B) = (res @ H @ F)) => (! [I:pi]: (((late_BoundR @ C @ D @ E) = (late_BoundR @ (late_BoundOutputS @ G) @ H @ I)) => ((G = H) <= (late_transitions @ F @ (late_FreeR @ (late_OutputR @ G @ H) @ I))))))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_90_resCasesB_H)).
64.30/22.36	thf(1990,plain,((! [A:name,B:pi,C:late_subject,D:name,E:pi]: ((late_transitions @ (res @ A @ B) @ (late_BoundR @ C @ D @ E)) => (~ (! [F:pi,G:late_subject,H:name,I:pi,J:name]: (((late_transitions @ F @ (late_BoundR @ G @ H @ I)) => ((fresh_717452603ubject @ J @ G) => (((fresh_name_pi @ H @ F) => (~ (fresh_717452603ubject @ H @ G))) | (J = H)))) | ~ ((late_BoundR @ C @ D @ E) = (late_BoundR @ G @ H @ (res @ J @ I))) | ~ ((res @ A @ B) = (res @ J @ F)))) | ~ (! [F:pi,G:name,H:name]: (((res @ A @ B) = (res @ H @ F)) => (! [I:pi]: (((late_BoundR @ C @ D @ E) = (late_BoundR @ (late_BoundOutputS @ G) @ H @ I)) => ((G = H) | ~ (late_transitions @ F @ (late_FreeR @ (late_OutputR @ G @ H) @ I))))))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[320])).
64.30/22.36	thf(9,axiom,((! [A:name,B:name,C:late_subject]: ((fresh_728038529ubject @ A @ (abs_fu1904601852ubject @ B @ C)) = ((fresh_717452603ubject @ A @ C) | (A = B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_137_name__fresh__abs)).
64.30/22.36	thf(355,plain,((! [A:name,B:name,C:late_subject]: ((fresh_728038529ubject @ A @ (abs_fu1904601852ubject @ B @ C)) = ((fresh_717452603ubject @ A @ C) | (A = B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[9])).
64.30/22.36	thf(241,axiom,((alpha = late_TauR)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_cClose2_Ohyps_I14_J)).
64.30/22.36	thf(1551,plain,((alpha = late_TauR)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[241])).
64.30/22.36	thf(38,axiom,((! [A:pi,B:name,C:name,D:pi]: ((tau @ A) != (mismatch @ B @ C @ D)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_179_pi_Odistinct_I39_J)).
64.30/22.36	thf(473,plain,((! [A:pi,B:name,C:name,D:pi]: ~ ((tau @ A) = (mismatch @ B @ C @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[38])).
64.30/22.36	thf(171,axiom,((! [A:name,B:name,C:pi,D:late_residual]: ((late_transitions @ (input @ A @ B @ C) @ D) => (~ (! [E:name,F:name,G:pi]: ((((abs_fun_name_pi @ B @ C) = (abs_fun_name_pi @ E @ G)) & (A = F)) => ((D = (late_BoundR @ (late_InputS @ F) @ E @ G)) => (E = F)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_149_inputCases_H)).
64.30/22.36	thf(1076,plain,((! [A:name,B:name,C:pi,D:late_residual]: ((late_transitions @ (input @ A @ B @ C) @ D) => (~ (! [E:name,F:name,G:pi]: ((((abs_fun_name_pi @ B @ C) = (abs_fun_name_pi @ E @ G)) & (A = F)) => ((D = (late_BoundR @ (late_InputS @ F) @ E @ G)) => (E = F)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[171])).
64.30/22.36	thf(141,axiom,((! [A:pi,B:name,C:name]: (((fresh_543891186ion_pi @ B @ (abs_fun_name_pi @ C @ A)) = ((fresh_name_pi @ B @ A) | (B = C))) <= (finite_finite_name @ (supp_pi_name @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_244_abs__fresh_I2_J)).
64.30/22.36	thf(939,plain,((! [A:pi,B:name,C:name]: (((fresh_543891186ion_pi @ B @ (abs_fun_name_pi @ C @ A)) = ((fresh_name_pi @ B @ A) | (B = C))) | ~ (finite_finite_name @ (supp_pi_name @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[141])).
64.30/22.36	thf(216,axiom,((! [A:pi,B:late_freeRes,C:pi,D:pi]: ((late_transitions @ A @ (late_FreeR @ B @ C)) => (late_transitions @ (par @ D @ A) @ (late_FreeR @ B @ (par @ D @ C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_20_Par2F)).
64.30/22.36	thf(1340,plain,((! [A:pi,B:late_freeRes,C:pi,D:pi]: ((late_transitions @ A @ (late_FreeR @ B @ C)) => (late_transitions @ (par @ D @ A) @ (late_FreeR @ B @ (par @ D @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[216])).
64.30/22.36	thf(33,axiom,((! [A:name,B:name]: (((late_InputS @ A) = (late_InputS @ B)) = (A = B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_64_Late__Semantics1_Osubject_Oinject_I1_J)).
64.30/22.36	thf(458,plain,((! [A:name,B:name]: (((late_InputS @ A) = (late_InputS @ B)) = (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[33])).
64.30/22.36	thf(188,axiom,((! [A:name,B:name,C:pi,D:name,E:name,F:pi]: ~ (late_transitions @ (res @ A @ (output @ B @ A @ C)) @ (late_FreeR @ (late_OutputR @ D @ E) @ F)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_123_resOutputOutputTrans)).
64.30/22.36	thf(1181,plain,((! [A:name,B:name,C:pi,D:name,E:name,F:pi]: ~ (late_transitions @ (res @ A @ (output @ B @ A @ C)) @ (late_FreeR @ (late_OutputR @ D @ E) @ F)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[188])).
64.30/22.36	thf(240,axiom,((! [A:name,B:pi,C:name]: (((subs @ B @ A @ C) = B) <= (fresh_name_pi @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_55_forget)).
64.30/22.36	thf(1547,plain,((! [A:name,B:pi,C:name]: (((subs @ B @ A @ C) = B) | ~ (fresh_name_pi @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[240])).
64.30/22.36	thf(250,axiom,((! [A:name,B:name,C:pi,D:pi,E:pi]: ((output @ A @ B @ C) != (par @ D @ E)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_105_pi_Odistinct_I29_J)).
64.30/22.36	thf(1611,plain,((! [A:name,B:name,C:pi,D:pi,E:pi]: ~ ((output @ A @ B @ C) = (par @ D @ E)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[250])).
64.30/22.36	thf(223,axiom,((! [A:(late_subject > (name > (pi > late_freeRes))),B:(late_freeRes > (pi > late_freeRes)),C:name,D:(late_freeRes > $o),E:late_freeRes,F:pi]: ((finite_finite_name @ (supp_L1178477943s_name @ A)) => ((finite_finite_name @ (supp_L381160156s_name @ B)) => ((((! [G:late_freeRes,H:pi]: (D @ (B @ G @ H))) => (((late_r124702629reeRes @ A @ B @ (late_FreeR @ E @ F)) = (B @ E @ F)) <= (! [G:late_subject,H:name,I:pi]: ((fresh_660367079reeRes @ H @ A) => ((fresh_717452603ubject @ H @ G) => ((fresh_name_name @ H @ C) => ((fresh_1641682979reeRes @ H @ (A @ G @ H @ I)) <= (D @ (A @ G @ H @ I))))))))) <= (! [G:late_subject,H:name,I:pi]: (D @ (A @ G @ H @ I)))) <= (finite_finite_name @ (supp_name_name @ C))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_309_residual_Orecs_I2_J)).
64.30/22.36	thf(1400,plain,((! [A:(late_subject > (name > (pi > late_freeRes))),B:(late_freeRes > (pi > late_freeRes)),C:name,D:(late_freeRes > $o),E:late_freeRes,F:pi]: ((finite_finite_name @ (supp_L1178477943s_name @ (A))) => ((finite_finite_name @ (supp_L381160156s_name @ (B))) => (((! [G:late_freeRes,H:pi]: (D @ (B @ G @ H))) => (((late_r124702629reeRes @ (A) @ (B) @ (late_FreeR @ E @ F)) = (B @ E @ F)) | ~ (! [G:late_subject,H:name,I:pi]: ((fresh_660367079reeRes @ H @ (A)) => ((fresh_717452603ubject @ H @ G) => ((fresh_name_name @ H @ C) => ((fresh_1641682979reeRes @ H @ (A @ G @ H @ I)) | ~ (D @ (A @ G @ H @ I))))))))) | ~ (! [G:late_subject,H:name,I:pi]: (D @ (A @ G @ H @ I))) | ~ (finite_finite_name @ (supp_name_name @ C))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[223])).
64.30/22.36	thf(246,axiom,((! [A:name,B:pi,C:late_residual]: ((late_transitions @ (res @ A @ B) @ C) => (((! [D:pi,E:late_subject,F:name,G:pi,H:name]: ((((late_transitions @ D @ (late_BoundR @ E @ F @ G)) => ((fresh_717452603ubject @ H @ E) => ((H != F) => ((fresh_name_pi @ F @ D) => (~ (fresh_717452603ubject @ F @ E)))))) <= (C = (late_BoundR @ E @ F @ (res @ H @ G)))) <= ((res @ A @ B) = (res @ H @ D)))) => (~ (! [D:pi,E:late_freeRes,F:pi,G:name]: (((res @ A @ B) = (res @ G @ D)) => (((~ (fresh_1641682979reeRes @ G @ E)) <= (late_transitions @ D @ (late_FreeR @ E @ F))) <= (C = (late_FreeR @ E @ (res @ G @ F)))))))) <= (! [D:pi,E:name,F:name]: (((res @ A @ B) = (res @ F @ D)) => (! [G:pi]: ((C = (late_BoundR @ (late_BoundOutputS @ E) @ F @ G)) => ((late_transitions @ D @ (late_FreeR @ (late_OutputR @ E @ F) @ G)) => (E = F)))))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_82_resCases_H)).
64.30/22.36	thf(1566,plain,((! [A:name,B:pi,C:late_residual]: ((late_transitions @ (res @ A @ B) @ C) => (((! [D:pi,E:late_subject,F:name,G:pi,H:name]: (((late_transitions @ D @ (late_BoundR @ E @ F @ G)) => ((fresh_717452603ubject @ H @ E) => ((~ (H = F)) => ((fresh_name_pi @ F @ D) => (~ (fresh_717452603ubject @ F @ E)))))) | ~ (C = (late_BoundR @ E @ F @ (res @ H @ G))) | ~ ((res @ A @ B) = (res @ H @ D)))) => (~ (! [D:pi,E:late_freeRes,F:pi,G:name]: (((res @ A @ B) = (res @ G @ D)) => (~ (fresh_1641682979reeRes @ G @ E) | ~ (late_transitions @ D @ (late_FreeR @ E @ F)) | ~ (C = (late_FreeR @ E @ (res @ G @ F)))))))) | ~ (! [D:pi,E:name,F:name]: (((res @ A @ B) = (res @ F @ D)) => (! [G:pi]: ((C = (late_BoundR @ (late_BoundOutputS @ E) @ F @ G)) => ((late_transitions @ D @ (late_FreeR @ (late_OutputR @ E @ F) @ G)) => (E = F)))))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[246])).
64.30/22.36	thf(261,axiom,((! [A:name,B:name,C:pi,D:late_residual,E:(name > (name > $o))]: (((((E @ A @ A) <= (A = B)) <= (late_transitions @ C @ D)) => (E @ A @ B)) <= (late_transitions @ (match @ A @ B @ C) @ D)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_169_matchCases)).
64.30/22.36	thf(1647,plain,((! [A:name,B:name,C:pi,D:late_residual,E:(name > (name > $o))]: ((((E @ A @ A) | ~ (A = B) | ~ (late_transitions @ C @ D)) => (E @ A @ B)) | ~ (late_transitions @ (match @ A @ B @ C) @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[261])).
64.30/22.36	thf(197,axiom,((! [A:pi,B:late_subject,C:name,D:pi,E:name]: (((fresh_name_pi @ E @ A) => (fresh_717452603ubject @ E @ B)) <= (late_transitions @ A @ (late_BoundR @ B @ C @ D))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_89_freshBoundDerivative_I1_J)).
64.30/22.36	thf(1252,plain,((! [A:pi,B:late_subject,C:name,D:pi,E:name]: (((fresh_name_pi @ E @ A) => (fresh_717452603ubject @ E @ B)) | ~ (late_transitions @ A @ (late_BoundR @ B @ C @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[197])).
64.30/22.36	thf(283,axiom,((! [A:name,B:name,C:pi,D:late_residual,E:(name > (name > $o))]: ((late_transitions @ (mismatch @ A @ B @ C) @ D) => (((late_transitions @ C @ D) => ((E @ A @ B) <= (A != B))) => (E @ A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_166_mismatchCases)).
64.30/22.36	thf(1753,plain,((! [A:name,B:name,C:pi,D:late_residual,E:(name > (name > $o))]: ((late_transitions @ (mismatch @ A @ B @ C) @ D) => (((late_transitions @ C @ D) => ((E @ A @ B) | (A = B))) => (E @ A @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[283])).
64.30/22.36	thf(237,axiom,((! [A:name,B:name,C:pi,D:late_residual]: ((late_transitions @ (output @ A @ B @ C) @ D) => (~ (! [E:name,F:name,G:pi]: (((C = G) & (B = F) & (A = E)) => (D != (late_FreeR @ (late_OutputR @ E @ F) @ G)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_116_outputCases_H)).
64.30/22.36	thf(1531,plain,((! [A:name,B:name,C:pi,D:late_residual]: ((late_transitions @ (output @ A @ B @ C) @ D) => (~ (! [E:name,F:name,G:pi]: (((C = G) & (B = F) & (A = E)) => (~ (D = (late_FreeR @ (late_OutputR @ E @ F) @ G))))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[237])).
64.30/22.36	thf(23,axiom,((! [A:name,B:name,C:pi,D:name,E:name,F:pi]: ((match @ A @ B @ C) != (mismatch @ D @ E @ F)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_159_pi_Odistinct_I61_J)).
64.30/22.36	thf(409,plain,((! [A:name,B:name,C:pi,D:name,E:name,F:pi]: ~ ((match @ A @ B @ C) = (mismatch @ D @ E @ F)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[23])).
64.30/22.36	thf(87,axiom,((! [A:name,B:name,C:pi]: (piNil != (mismatch @ A @ B @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_229_pi_Odistinct_I9_J)).
64.30/22.36	thf(712,plain,((! [A:name,B:name,C:pi]: ~ (piNil = (mismatch @ A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[87])).
64.30/22.36	thf(153,axiom,((! [A:late_subject]: ((~ (! [B:name]: ~ (fresh_717452603ubject @ B @ A))) <= (finite_finite_name @ (supp_L1174290467t_name @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_251_exists__fresh)).
64.30/22.36	thf(1003,plain,((! [A:late_subject]: (~ (! [B:name]: ~ (fresh_717452603ubject @ B @ A)) | ~ (finite_finite_name @ (supp_L1174290467t_name @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[153])).
64.30/22.36	thf(288,axiom,((fresh_name_pi @ y @ p)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_cClose2_Ohyps_I13_J)).
64.30/22.36	thf(1770,plain,((fresh_name_pi @ y @ p)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[288])).
64.30/22.36	thf(319,axiom,((! [A:name,B:pi,C:late_residual]: ~ (late_transitions @ (mismatch @ A @ A @ B) @ C))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_165_mismatchTrans)).
64.30/22.36	thf(1987,plain,((! [A:name,B:pi,C:late_residual]: ~ (late_transitions @ (mismatch @ A @ A @ B) @ C))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[319])).
64.30/22.36	thf(14,axiom,((! [A:name,B:late_freeRes,C:late_freeRes]: (((abs_fu681348580reeRes @ A @ B) = (abs_fu681348580reeRes @ A @ C)) = (B = C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_181_abs__fun__eq1)).
64.30/22.36	thf(370,plain,((! [A:name,B:late_freeRes,C:late_freeRes]: (((abs_fu681348580reeRes @ A @ B) = (abs_fu681348580reeRes @ A @ C)) = (B = C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[14])).
64.30/22.36	thf(286,axiom,((! [A:pi,B:name,C:name,D:pi,E:pi,F:name,G:pi]: ((late_transitions @ A @ (late_BoundR @ (late_InputS @ B) @ C @ D)) => ((late_transitions @ E @ (late_BoundR @ (late_BoundOutputS @ B) @ F @ G)) => (((fresh_name_pi @ C @ E) => ((((C != B) => ((fresh_name_pi @ C @ G) => (((fresh_name_pi @ F @ D) => ((C != F) => (late_transitions @ (par @ A @ E) @ (late_FreeR @ late_TauR @ (res @ F @ (par @ (subs @ D @ C @ F) @ G)))))) <= (F != B)))) <= (fresh_name_pi @ F @ E)) <= (fresh_name_pi @ F @ A))) <= (fresh_name_pi @ C @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_25_transitions_OClose1)).
64.30/22.36	thf(1763,plain,((! [A:pi,B:name,C:name,D:pi,E:pi,F:name,G:pi]: ((late_transitions @ A @ (late_BoundR @ (late_InputS @ B) @ C @ D)) => ((late_transitions @ E @ (late_BoundR @ (late_BoundOutputS @ B) @ F @ G)) => (((fresh_name_pi @ C @ E) => (((~ (C = B)) => ((fresh_name_pi @ C @ G) => (((fresh_name_pi @ F @ D) => ((~ (C = F)) => (late_transitions @ (par @ A @ E) @ (late_FreeR @ late_TauR @ (res @ F @ (par @ (subs @ D @ C @ F) @ G)))))) | (F = B)))) | ~ (fresh_name_pi @ F @ E) | ~ (fresh_name_pi @ F @ A))) | ~ (fresh_name_pi @ C @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[286])).
64.30/22.36	thf(145,axiom,((! [A:name,B:name,C:pi,D:pi,E:pi]: ((match @ A @ B @ C) != (sum @ D @ E)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_228_pi_Odistinct_I63_J)).
64.30/22.36	thf(951,plain,((! [A:name,B:name,C:pi,D:pi,E:pi]: ~ ((match @ A @ B @ C) = (sum @ D @ E)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[145])).
64.30/22.36	thf(279,axiom,((! [A:pi,B:late_freeRes,C:pi,D:pi]: ((late_transitions @ (par @ A @ D) @ (late_FreeR @ B @ (par @ C @ D))) <= (late_transitions @ A @ (late_FreeR @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_19_Par1F)).
64.30/22.36	thf(1738,plain,((! [A:pi,B:late_freeRes,C:pi,D:pi]: ((late_transitions @ (par @ A @ D) @ (late_FreeR @ B @ (par @ C @ D))) | ~ (late_transitions @ A @ (late_FreeR @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[279])).
64.30/22.36	thf(49,axiom,((! [A:name,B:name,C:pi]: (piNil != (output @ A @ B @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_217_pi_Odistinct_I1_J)).
64.30/22.36	thf(544,plain,((! [A:name,B:name,C:pi]: ~ (piNil = (output @ A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[49])).
64.30/22.36	thf(3,axiom,((! [A:name,B:late_subject,C:late_subject]: (((abs_fu1904601852ubject @ A @ B) = (abs_fu1904601852ubject @ A @ C)) = (B = C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_182_abs__fun__eq1)).
64.30/22.36	thf(338,plain,((! [A:name,B:late_subject,C:late_subject]: (((abs_fu1904601852ubject @ A @ B) = (abs_fu1904601852ubject @ A @ C)) = (B = C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[3])).
64.30/22.36	thf(305,axiom,((! [A:name,B:name,C:pi]: (late_transitions @ (output @ A @ B @ C) @ (late_FreeR @ (late_OutputR @ A @ B) @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_114_Output)).
64.30/22.36	thf(1901,plain,((! [A:name,B:name,C:pi]: (late_transitions @ (output @ A @ B @ C) @ (late_FreeR @ (late_OutputR @ A @ B) @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[305])).
64.30/22.36	thf(172,axiom,((late_transitions @ (par @ p @ q) @ (late_BoundR @ (late_BoundOutputS @ a) @ y @ (par @ p @ q2)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13__092_060open_062P_A_092_060parallel_062_AQ_A_092_060longmapsto_062_Aa_060_092_060nu_062y_062_A_092_060prec_062_AP_A_092_060parallel_062_AQ_H_092_060close_062)).
64.30/22.36	thf(1085,plain,((late_transitions @ (par @ p @ q) @ (late_BoundR @ (late_BoundOutputS @ a) @ y @ (par @ p @ q2)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[172])).
64.30/22.36	thf(37,axiom,((! [A:pi,B:pi]: ((supp_pi_name @ (sum @ A @ B)) = (sup_sup_set_name @ (supp_pi_name @ A) @ (supp_pi_name @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_344_pi_Osupp_I7_J)).
64.30/22.36	thf(470,plain,((! [A:pi,B:pi]: ((supp_pi_name @ (sum @ A @ B)) = (sup_sup_set_name @ (supp_pi_name @ A) @ (supp_pi_name @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[37])).
64.30/22.36	thf(239,axiom,((! [A:name,B:name,C:pi,D:pi,E:pi]: ((match @ A @ B @ C) != (par @ D @ E)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_170_pi_Odistinct_I65_J)).
64.30/22.36	thf(1543,plain,((! [A:name,B:name,C:pi,D:pi,E:pi]: ~ ((match @ A @ B @ C) = (par @ D @ E)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[239])).
64.30/22.36	thf(232,axiom,((! [A:(name > (pi > $o)),B:name,C:pi]: ((((! [D:pi,E:name]: ((A @ E @ (tau @ D)) <= (! [F:name]: (A @ F @ D)))) => ((! [D:name,E:name,F:pi,G:name]: ((fresh_name_name @ E @ G) => (((! [H:name]: (A @ H @ F)) => (A @ G @ (input @ D @ E @ F))) <= (fresh_name_name @ E @ D)))) => (((! [D:name,E:name,F:pi,G:name]: ((! [H:name]: (A @ H @ F)) => (A @ G @ (mismatch @ D @ E @ F)))) => ((! [D:pi,E:pi,F:name]: (((! [G:name]: (A @ G @ E)) => (A @ F @ (sum @ D @ E))) <= (! [G:name]: (A @ G @ D)))) => (((! [D:name,E:pi,F:name]: (((! [G:name]: (A @ G @ E)) => (A @ F @ (res @ D @ E))) <= (fresh_name_name @ D @ F))) => ((! [D:pi,E:name]: ((! [F:name]: (A @ F @ D)) => (A @ E @ (bang @ D)))) => (A @ B @ C))) <= (! [D:pi,E:pi,F:name]: (((! [G:name]: (A @ G @ E)) => (A @ F @ (par @ D @ E))) <= (! [G:name]: (A @ G @ D))))))) <= (! [D:name,E:name,F:pi,G:name]: ((! [H:name]: (A @ H @ F)) => (A @ G @ (match @ D @ E @ F))))))) <= (! [D:name,E:name,F:pi,G:name]: ((A @ G @ (output @ D @ E @ F)) <= (! [H:name]: (A @ H @ F))))) <= (! [D:name]: (A @ D @ piNil))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_187_pi_Ostrong__inducts)).
64.30/22.36	thf(1485,plain,((! [A:(name > (pi > $o)),B:name,C:pi]: (((! [D:pi,E:name]: ((A @ E @ (tau @ D)) | ~ (! [F:name]: (A @ F @ D)))) => ((! [D:name,E:name,F:pi,G:name]: ((fresh_name_name @ E @ G) => (((! [H:name]: (A @ H @ F)) => (A @ G @ (input @ D @ E @ F))) | ~ (fresh_name_name @ E @ D)))) => (((! [D:name,E:name,F:pi,G:name]: ((! [H:name]: (A @ H @ F)) => (A @ G @ (mismatch @ D @ E @ F)))) => ((! [D:pi,E:pi,F:name]: (((! [G:name]: (A @ G @ E)) => (A @ F @ (sum @ D @ E))) | ~ (! [G:name]: (A @ G @ D)))) => (((! [D:name,E:pi,F:name]: (((! [G:name]: (A @ G @ E)) => (A @ F @ (res @ D @ E))) | ~ (fresh_name_name @ D @ F))) => ((! [D:pi,E:name]: ((! [F:name]: (A @ F @ D)) => (A @ E @ (bang @ D)))) => (A @ B @ C))) | ~ (! [D:pi,E:pi,F:name]: (((! [G:name]: (A @ G @ E)) => (A @ F @ (par @ D @ E))) | ~ (! [G:name]: (A @ G @ D))))))) | ~ (! [D:name,E:name,F:pi,G:name]: ((! [H:name]: (A @ H @ F)) => (A @ G @ (match @ D @ E @ F))))))) | ~ (! [D:name,E:name,F:pi,G:name]: ((A @ G @ (output @ D @ E @ F)) | ~ (! [H:name]: (A @ H @ F)))) | ~ (! [D:name]: (A @ D @ piNil))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[232])).
64.30/22.36	thf(282,axiom,((! [A:name,B:pi,C:name,D:name]: (((fresh_name_pi @ A @ (subs @ B @ D @ C)) <= (A != C)) <= (fresh_name_pi @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_51_fresh__fact1)).
64.30/22.36	thf(1749,plain,((! [A:name,B:pi,C:name,D:name]: ((fresh_name_pi @ A @ (subs @ B @ D @ C)) | (A = C) | ~ (fresh_name_pi @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[282])).
64.30/22.36	thf(91,axiom,((! [A:late_freeRes]: (finite_finite_name @ (supp_L1228270395s_name @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_297_fs__name1)).
64.30/22.36	thf(727,plain,((! [A:late_freeRes]: (finite_finite_name @ (supp_L1228270395s_name @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[91])).
64.30/22.36	thf(326,axiom,((late_transitions @ (par @ q @ r) @ (late_FreeR @ alpha @ qr))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_15_cPar2_Ohyps)).
64.30/22.36	thf(2030,plain,((late_transitions @ (par @ q @ r) @ (late_FreeR @ alpha @ qr))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[326])).
64.30/22.36	thf(63,axiom,((! [A:(late_subject > (name > (pi > name))),B:(late_freeRes > (pi > name)),C:late_residual,D:name]: (((finite_finite_name @ (supp_L926407557e_name @ B)) => ((finite_finite_name @ (supp_name_name @ D)) <= (late_r1742481968t_name @ A @ B @ C @ D))) <= (finite_finite_name @ (supp_L538372628e_name @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_339_residual_Orec__fin__supp)).
64.30/22.36	thf(612,plain,((! [A:(late_subject > (name > (pi > name))),B:(late_freeRes > (pi > name)),C:late_residual,D:name]: (((finite_finite_name @ (supp_L926407557e_name @ (B))) => ((finite_finite_name @ (supp_name_name @ D)) | ~ (late_r1742481968t_name @ (A) @ (B) @ C @ D))) | ~ (finite_finite_name @ (supp_L538372628e_name @ (A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[63])).
64.30/22.36	thf(123,axiom,((! [A:late_subject]: (finite_finite_name @ (supp_L1174290467t_name @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_296_fs__name1)).
64.30/22.36	thf(876,plain,((! [A:late_subject]: (finite_finite_name @ (supp_L1174290467t_name @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[123])).
64.30/22.36	thf(118,axiom,((! [A:late_subject,B:name,C:pi]: ((supp_L1174042202l_name @ (late_BoundR @ A @ B @ C)) = (sup_sup_set_name @ (supp_L1174290467t_name @ A) @ (supp_n468628396i_name @ (abs_fun_name_pi @ B @ C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_343_residual_Osupp_I1_J)).
64.30/22.36	thf(859,plain,((! [A:late_subject,B:name,C:pi]: ((supp_L1174042202l_name @ (late_BoundR @ A @ B @ C)) = (sup_sup_set_name @ (supp_L1174290467t_name @ A) @ (supp_n468628396i_name @ (abs_fun_name_pi @ B @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[118])).
64.30/22.36	thf(152,axiom,((! [A:(late_subject > (name > (pi > late_freeRes))),B:(late_freeRes > (pi > late_freeRes)),C:late_subject,D:(late_freeRes > $o),E:name,F:late_subject,G:pi]: ((finite_finite_name @ (supp_L1178477943s_name @ A)) => ((finite_finite_name @ (supp_L381160156s_name @ B)) => ((finite_finite_name @ (supp_L1174290467t_name @ C)) => ((! [H:late_subject,I:name,J:pi]: (D @ (A @ H @ I @ J))) => ((! [H:late_freeRes,I:pi]: (D @ (B @ H @ I))) => ((! [H:late_subject,I:name,J:pi]: ((fresh_660367079reeRes @ I @ A) => ((fresh_717452603ubject @ I @ H) => ((fresh_717452603ubject @ I @ C) => ((fresh_1641682979reeRes @ I @ (A @ H @ I @ J)) <= (D @ (A @ H @ I @ J))))))) => ((fresh_660367079reeRes @ E @ A) => ((fresh_256112244reeRes @ E @ B) => ((fresh_717452603ubject @ E @ F) => ((late_r124702629reeRes @ A @ B @ (late_BoundR @ F @ E @ G)) = (A @ F @ E @ G))))))))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_311_residual_Orecs_I1_J)).
64.30/22.36	thf(991,plain,((! [A:(late_subject > (name > (pi > late_freeRes))),B:(late_freeRes > (pi > late_freeRes)),C:late_subject,D:(late_freeRes > $o),E:name,F:late_subject,G:pi]: ((finite_finite_name @ (supp_L1178477943s_name @ (A))) => ((finite_finite_name @ (supp_L381160156s_name @ (B))) => ((finite_finite_name @ (supp_L1174290467t_name @ C)) => ((! [H:late_subject,I:name,J:pi]: (D @ (A @ H @ I @ J))) => ((! [H:late_freeRes,I:pi]: (D @ (B @ H @ I))) => ((! [H:late_subject,I:name,J:pi]: ((fresh_660367079reeRes @ I @ (A)) => ((fresh_717452603ubject @ I @ H) => ((fresh_717452603ubject @ I @ C) => ((fresh_1641682979reeRes @ I @ (A @ H @ I @ J)) | ~ (D @ (A @ H @ I @ J))))))) => ((fresh_660367079reeRes @ E @ (A)) => ((fresh_256112244reeRes @ E @ (B)) => ((fresh_717452603ubject @ E @ F) => ((late_r124702629reeRes @ (A) @ (B) @ (late_BoundR @ F @ E @ G)) = (A @ F @ E @ G))))))))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[152])).
64.30/22.36	thf(72,axiom,((supp_L1174290467t_name = (^ [A:late_subject]: (collect_name @ (^ [B:name]: ~ (fresh_717452603ubject @ B @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_271_supp__fresh__iff)).
64.30/22.36	thf(656,plain,(((supp_L1174290467t_name) = (^ [A:late_subject]: (collect_name @ (^ [B:name]: ~ (fresh_717452603ubject @ B @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[72])).
64.30/22.36	thf(159,axiom,((! [A:(late_subject > (name > (pi > late_subject))),B:(late_freeRes > (pi > late_subject)),C:name,D:(late_subject > $o),E:late_residual]: ((((finite_finite_name @ (supp_name_name @ C)) => ((! [F:late_subject,G:name,H:pi]: (D @ (A @ F @ G @ H))) => ((! [F:late_freeRes,G:pi]: (D @ (B @ F @ G))) => ((? [F:late_subject]: ((late_r689718217ubject @ A @ B @ E @ F) & ! [G:late_subject]: ((G = F) <= (late_r689718217ubject @ A @ B @ E @ G)))) <= (! [F:late_subject,G:name]: (((fresh_717452603ubject @ G @ F) => ((fresh_name_name @ G @ C) => (! [H:pi]: ((fresh_717452603ubject @ G @ (A @ F @ G @ H)) <= (D @ (A @ F @ G @ H)))))) <= (fresh_795910143ubject @ G @ A))))))) <= (finite_finite_name @ (supp_L1759672260t_name @ B))) <= (finite_finite_name @ (supp_L1144036959t_name @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_335_residual_Orec__unique)).
64.30/22.36	thf(1023,plain,((! [A:(late_subject > (name > (pi > late_subject))),B:(late_freeRes > (pi > late_subject)),C:name,D:(late_subject > $o),E:late_residual]: (((finite_finite_name @ (supp_name_name @ C)) => ((! [F:late_subject,G:name,H:pi]: (D @ (A @ F @ G @ H))) => ((! [F:late_freeRes,G:pi]: (D @ (B @ F @ G))) => (? [F:late_subject]: ((late_r689718217ubject @ (A) @ (B) @ E @ F) & ! [G:late_subject]: ((G = F) | ~ (late_r689718217ubject @ (A) @ (B) @ E @ G))) | ~ (! [F:late_subject,G:name]: (((fresh_717452603ubject @ G @ F) => ((fresh_name_name @ G @ C) => (! [H:pi]: ((fresh_717452603ubject @ G @ (A @ F @ G @ H)) | ~ (D @ (A @ F @ G @ H)))))) | ~ (fresh_795910143ubject @ G @ (A)))))))) | ~ (finite_finite_name @ (supp_L1759672260t_name @ (B))) | ~ (finite_finite_name @ (supp_L1144036959t_name @ (A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[159])).
64.30/22.36	thf(315,axiom,((! [A:(late_residual > $o),B:late_residual]: (((A @ B) <= (! [C:late_freeRes,D:pi]: (A @ (late_FreeR @ C @ D)))) <= (! [C:late_subject,D:name,E:pi]: (A @ (late_BoundR @ C @ D @ E)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_48_residual_Oinducts)).
64.30/22.36	thf(1940,plain,((! [A:(late_residual > $o),B:late_residual]: ((A @ B) | ~ (! [C:late_freeRes,D:pi]: (A @ (late_FreeR @ C @ D))) | ~ (! [C:late_subject,D:name,E:pi]: (A @ (late_BoundR @ C @ D @ E)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[315])).
64.30/22.36	thf(116,axiom,((! [A:pi]: ((? [B:name]: (fresh_name_pi @ B @ A)) <= (finite_finite_name @ (supp_pi_name @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_264_exists__fresh_H)).
64.30/22.36	thf(845,plain,((! [A:pi]: (? [B:name]: (fresh_name_pi @ B @ A) | ~ (finite_finite_name @ (supp_pi_name @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[116])).
64.30/22.36	thf(31,axiom,((! [A:(name > noption_pi),B:name,C:name]: ((finite_finite_name @ (supp_n468628396i_name @ A)) => ((fresh_92802872ion_pi @ B @ (abs_fu1614711987ion_pi @ C @ A)) = ((fresh_543891186ion_pi @ B @ A) | (B = C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_245_abs__fresh_I2_J)).
64.30/22.36	thf(450,plain,((! [A:(name > noption_pi),B:name,C:name]: ((finite_finite_name @ (supp_n468628396i_name @ (A))) => ((fresh_92802872ion_pi @ B @ (abs_fu1614711987ion_pi @ C @ A)) = ((fresh_543891186ion_pi @ B @ (A)) | (B = C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[31])).
64.30/22.36	thf(52,axiom,((! [A:late_subject]: ((! [B:name]: (A != (late_InputS @ B))) => (~ (! [B:name]: (A != (late_BoundOutputS @ B))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_69_subject_Oexhaust)).
64.30/22.36	thf(556,plain,((! [A:late_subject]: ((! [B:name]: ~ (A = (late_InputS @ B))) => (~ (! [B:name]: ~ (A = (late_BoundOutputS @ B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[52])).
64.30/22.36	thf(138,axiom,((! [A:name,B:name,C:name]: (((fresh_1093033124n_name @ B @ (abs_fun_name_name @ C @ A)) = ((fresh_name_name @ B @ A) | (B = C))) <= (finite_finite_name @ (supp_name_name @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_243_abs__fresh_I2_J)).
64.30/22.36	thf(931,plain,((! [A:name,B:name,C:name]: (((fresh_1093033124n_name @ B @ (abs_fun_name_name @ C @ A)) = ((fresh_name_name @ B @ A) | (B = C))) | ~ (finite_finite_name @ (supp_name_name @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[138])).
64.30/22.36	thf(242,axiom,((! [A:name,B:name,C:pi,D:pi,E:pi]: ((mismatch @ A @ B @ C) != (par @ D @ E)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_171_pi_Odistinct_I73_J)).
64.30/22.36	thf(1553,plain,((! [A:name,B:name,C:pi,D:pi,E:pi]: ~ ((mismatch @ A @ B @ C) = (par @ D @ E)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[242])).
64.30/22.36	thf(77,axiom,((! [A:(late_subject > (name > (pi > (name > noption_pi)))),B:(late_freeRes > (pi > (name > noption_pi))),C:late_residual,D:(name > noption_pi),E:name]: ((((late_r750878080ion_pi @ A @ B @ C @ D) => ((! [F:(name > noption_pi)]: ((F = D) <= (late_r750878080ion_pi @ A @ B @ C @ F))) => ((((fresh_543891186ion_pi @ E @ D) <= (fresh_7927363ion_pi @ E @ B)) <= (fresh_747777846ion_pi @ E @ A)) <= (fresh_81631222sidual @ E @ C)))) <= (finite_finite_name @ (supp_L635439693i_name @ B))) <= (finite_finite_name @ (supp_L3230824i_name @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_326_residual_Orec__fresh)).
64.30/22.36	thf(671,plain,((! [A:(late_subject > (name > (pi > (name > noption_pi)))),B:(late_freeRes > (pi > (name > noption_pi))),C:late_residual,D:(name > noption_pi),E:name]: (((late_r750878080ion_pi @ (A) @ (B) @ C @ (D)) => ((! [F:(name > noption_pi)]: (((F) = (D)) | ~ (late_r750878080ion_pi @ (A) @ (B) @ C @ (F)))) => ((fresh_543891186ion_pi @ E @ (D)) | ~ (fresh_7927363ion_pi @ E @ (B)) | ~ (fresh_747777846ion_pi @ E @ (A)) | ~ (fresh_81631222sidual @ E @ C)))) | ~ (finite_finite_name @ (supp_L635439693i_name @ (B))) | ~ (finite_finite_name @ (supp_L3230824i_name @ (A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[77])).
64.30/22.36	thf(79,axiom,((! [A:(name > noption_pi)]: ((~ (! [B:name]: ~ (fresh_543891186ion_pi @ B @ A))) <= (finite_finite_name @ (supp_n468628396i_name @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_255_exists__fresh)).
64.30/22.36	thf(688,plain,((! [A:(name > noption_pi)]: (~ (! [B:name]: ~ (fresh_543891186ion_pi @ B @ (A))) | ~ (finite_finite_name @ (supp_n468628396i_name @ (A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[79])).
64.30/22.36	thf(224,axiom,((! [A:pi,B:name,C:name,D:pi,E:pi,F:name,G:pi]: ((late_transitions @ A @ (late_FreeR @ (late_OutputR @ B @ C) @ D)) => ((late_transitions @ E @ (late_BoundR @ (late_InputS @ B) @ F @ G)) => (late_transitions @ (par @ A @ E) @ (late_FreeR @ late_TauR @ (par @ D @ (subs @ G @ F @ C)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_66_Late__Semantics_OComm2)).
64.30/22.36	thf(1412,plain,((! [A:pi,B:name,C:name,D:pi,E:pi,F:name,G:pi]: ((late_transitions @ A @ (late_FreeR @ (late_OutputR @ B @ C) @ D)) => ((late_transitions @ E @ (late_BoundR @ (late_InputS @ B) @ F @ G)) => (late_transitions @ (par @ A @ E) @ (late_FreeR @ late_TauR @ (par @ D @ (subs @ G @ F @ C)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[224])).
64.30/22.36	thf(205,axiom,((! [A:name,B:name,C:name,D:name,E:pi]: (((A != C) => ((subs @ (input @ D @ A @ E) @ B @ C) = (input @ (subst_name @ D @ B @ C) @ A @ (subs @ E @ B @ C)))) <= (A != B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_129_substInput)).
64.30/22.36	thf(1289,plain,((! [A:name,B:name,C:name,D:name,E:pi]: (((~ (A = C)) => ((subs @ (input @ D @ A @ E) @ B @ C) = (input @ (subst_name @ D @ B @ C) @ A @ (subs @ E @ B @ C)))) | (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[205])).
64.30/22.36	thf(278,axiom,((! [A:name,B:pi]: (piNil != (res @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_219_pi_Odistinct_I15_J)).
64.30/22.36	thf(1734,plain,((! [A:name,B:pi]: ~ (piNil = (res @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[278])).
64.30/22.36	thf(155,axiom,((! [A:name,B:name,C:pi]: ((supp_pi_name @ (output @ A @ B @ C)) = (sup_sup_set_name @ (supp_name_name @ A) @ (sup_sup_set_name @ (supp_name_name @ B) @ (supp_pi_name @ C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_348_pi_Osupp_I2_J)).
64.30/22.36	thf(1010,plain,((! [A:name,B:name,C:pi]: ((supp_pi_name @ (output @ A @ B @ C)) = (sup_sup_set_name @ (supp_name_name @ A) @ (sup_sup_set_name @ (supp_name_name @ B) @ (supp_pi_name @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[155])).
64.30/22.36	thf(220,axiom,((! [A:pi,B:pi,C:pi,D:pi]: ((sum @ A @ B) != (par @ C @ D)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_209_pi_Odistinct_I79_J)).
64.30/22.36	thf(1390,plain,((! [A:pi,B:pi,C:pi,D:pi]: ~ ((sum @ A @ B) = (par @ C @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[220])).
64.30/22.36	thf(247,axiom,((! [A:pi,B:pi,C:name,D:pi]: ((par @ A @ B) != (res @ C @ D)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_22_pi_Odistinct_I85_J)).
64.30/22.36	thf(1590,plain,((! [A:pi,B:pi,C:name,D:pi]: ~ ((par @ A @ B) = (res @ C @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[247])).
64.30/22.36	thf(306,axiom,((fresh_name_pi @ y @ q)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_cClose2_Ohyps_I8_J)).
64.30/22.36	thf(1903,plain,((fresh_name_pi @ y @ q)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[306])).
64.30/22.36	thf(231,axiom,((! [A:name,B:name,C:pi,D:pi,E:pi]: ((input @ A @ B @ C) != (par @ D @ E)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_145_pi_Odistinct_I55_J)).
64.30/22.36	thf(1481,plain,((! [A:name,B:name,C:pi,D:pi,E:pi]: ~ ((input @ A @ B @ C) = (par @ D @ E)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[231])).
64.30/22.36	thf(143,axiom,((! [A:late_freeRes]: ((finite_finite_name @ (supp_L1228270395s_name @ A)) => (? [B:name]: (fresh_1641682979reeRes @ B @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_262_exists__fresh_H)).
64.30/22.36	thf(946,plain,((! [A:late_freeRes]: ((finite_finite_name @ (supp_L1228270395s_name @ A)) => (? [B:name]: (fresh_1641682979reeRes @ B @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[143])).
64.30/22.36	thf(281,axiom,((! [A:name,B:name]: ((late_OutputR @ A @ B) != late_TauR))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_78_Late__Semantics1_OfreeRes_Odistinct_I1_J)).
64.30/22.36	thf(1745,plain,((! [A:name,B:name]: ~ ((late_OutputR @ A @ B) = late_TauR))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[281])).
64.30/22.36	thf(294,axiom,((fresh_name_pi @ y @ r)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_cClose2_Ohyps_I9_J)).
64.30/22.36	thf(1854,plain,((fresh_name_pi @ y @ r)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[294])).
64.30/22.36	thf(26,axiom,((! [A:name]: ~ (! [B:name]: ~ (fresh_name_name @ B @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_35_name__exists__fresh)).
64.30/22.36	thf(418,plain,((! [A:name]: ~ (! [B:name]: ~ (fresh_name_name @ B @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[26])).
64.30/22.36	thf(28,axiom,((! [A:name,B:name,C:pi]: ((fresh_543891186ion_pi @ A @ (abs_fun_name_pi @ B @ C)) = ((fresh_name_pi @ A @ C) | (A = B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_144_abs__fresh_I1_J)).
64.30/22.36	thf(433,plain,((! [A:name,B:name,C:pi]: ((fresh_543891186ion_pi @ A @ (abs_fun_name_pi @ B @ C)) = ((fresh_name_pi @ A @ C) | (A = B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[28])).
64.30/22.36	thf(137,axiom,((fresh_name_name = (^ [A:name,B:name]: ~ (member_name @ A @ (supp_name_name @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_283_fresh__def)).
64.30/22.36	thf(929,plain,(((fresh_name_name) = (^ [A:name,B:name]: ~ (member_name @ A @ (supp_name_name @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[137])).
64.30/22.36	thf(192,axiom,((! [A:(late_subject > (name > (pi > name))),B:(late_freeRes > (pi > name)),C:late_freeRes,D:(name > $o),E:late_freeRes,F:pi]: (((((! [G:late_subject,H:name,I:pi]: (D @ (A @ G @ H @ I))) => ((! [G:late_freeRes,H:pi]: (D @ (B @ G @ H))) => (((late_r1174711868c_name @ A @ B @ (late_FreeR @ E @ F)) = (B @ E @ F)) <= (! [G:late_subject,H:name,I:pi]: (((fresh_717452603ubject @ H @ G) => ((fresh_1641682979reeRes @ H @ C) => ((D @ (A @ G @ H @ I)) => (fresh_name_name @ H @ (A @ G @ H @ I))))) <= (fresh_621211324i_name @ H @ A)))))) <= (finite_finite_name @ (supp_L1228270395s_name @ C))) <= (finite_finite_name @ (supp_L926407557e_name @ B))) <= (finite_finite_name @ (supp_L538372628e_name @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_306_residual_Orecs_I2_J)).
64.30/22.36	thf(1193,plain,((! [A:(late_subject > (name > (pi > name))),B:(late_freeRes > (pi > name)),C:late_freeRes,D:(name > $o),E:late_freeRes,F:pi]: (((! [G:late_subject,H:name,I:pi]: (D @ (A @ G @ H @ I))) => ((! [G:late_freeRes,H:pi]: (D @ (B @ G @ H))) => (((late_r1174711868c_name @ (A) @ (B) @ (late_FreeR @ E @ F)) = (B @ E @ F)) | ~ (! [G:late_subject,H:name,I:pi]: (((fresh_717452603ubject @ H @ G) => ((fresh_1641682979reeRes @ H @ C) => ((D @ (A @ G @ H @ I)) => (fresh_name_name @ H @ (A @ G @ H @ I))))) | ~ (fresh_621211324i_name @ H @ (A))))))) | ~ (finite_finite_name @ (supp_L1228270395s_name @ C)) | ~ (finite_finite_name @ (supp_L926407557e_name @ (B))) | ~ (finite_finite_name @ (supp_L538372628e_name @ (A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[192])).
64.30/22.36	thf(263,axiom,((! [A:(late_subject > (name > (pi > pi))),B:(late_freeRes > (pi > pi)),C:late_subject,D:(pi > $o),E:late_freeRes,F:pi]: ((finite_finite_name @ (supp_L729745222i_name @ A)) => ((finite_finite_name @ (supp_L2052723895i_name @ B)) => ((finite_finite_name @ (supp_L1174290467t_name @ C)) => ((! [G:late_subject,H:name,I:pi]: (D @ (A @ G @ H @ I))) => ((((late_residual_rec_pi @ A @ B @ (late_FreeR @ E @ F)) = (B @ E @ F)) <= (! [G:late_subject,H:name,I:pi]: ((fresh_1438126218_pi_pi @ H @ A) => ((fresh_717452603ubject @ H @ G) => (((fresh_name_pi @ H @ (A @ G @ H @ I)) <= (D @ (A @ G @ H @ I))) <= (fresh_717452603ubject @ H @ C)))))) <= (! [G:late_freeRes,H:pi]: (D @ (B @ G @ H)))))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_303_residual_Orecs_I2_J)).
64.30/22.36	thf(1661,plain,((! [A:(late_subject > (name > (pi > pi))),B:(late_freeRes > (pi > pi)),C:late_subject,D:(pi > $o),E:late_freeRes,F:pi]: ((finite_finite_name @ (supp_L729745222i_name @ (A))) => ((finite_finite_name @ (supp_L2052723895i_name @ (B))) => ((finite_finite_name @ (supp_L1174290467t_name @ C)) => ((! [G:late_subject,H:name,I:pi]: (D @ (A @ G @ H @ I))) => (((late_residual_rec_pi @ (A) @ (B) @ (late_FreeR @ E @ F)) = (B @ E @ F)) | ~ (! [G:late_subject,H:name,I:pi]: ((fresh_1438126218_pi_pi @ H @ (A)) => ((fresh_717452603ubject @ H @ G) => ((fresh_name_pi @ H @ (A @ G @ H @ I)) | ~ (D @ (A @ G @ H @ I)) | ~ (fresh_717452603ubject @ H @ C))))) | ~ (! [G:late_freeRes,H:pi]: (D @ (B @ G @ H)))))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[263])).
64.30/22.36	thf(328,axiom,((! [A:name,B:pi,C:pi]: ((fresh_name_pi @ A @ (par @ B @ C)) = ((fresh_name_pi @ A @ B) & (fresh_name_pi @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_30_pi_Ofresh_I8_J)).
64.30/22.36	thf(2036,plain,((! [A:name,B:pi,C:pi]: ((fresh_name_pi @ A @ (par @ B @ C)) = ((fresh_name_pi @ A @ B) & (fresh_name_pi @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[328])).
64.30/22.36	thf(88,axiom,((! [A:(late_subject > (name > (pi > late_subject))),B:(late_freeRes > (pi > late_subject)),C:late_residual,D:late_subject,E:name]: ((finite_finite_name @ (supp_L1144036959t_name @ A)) => (((((((fresh_198785932ubject @ E @ B) => (fresh_717452603ubject @ E @ D)) <= (fresh_795910143ubject @ E @ A)) <= (fresh_81631222sidual @ E @ C)) <= (! [F:late_subject]: ((F = D) <= (late_r689718217ubject @ A @ B @ C @ F)))) <= (late_r689718217ubject @ A @ B @ C @ D)) <= (finite_finite_name @ (supp_L1759672260t_name @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_322_residual_Orec__fresh)).
64.30/22.36	thf(716,plain,((! [A:(late_subject > (name > (pi > late_subject))),B:(late_freeRes > (pi > late_subject)),C:late_residual,D:late_subject,E:name]: ((finite_finite_name @ (supp_L1144036959t_name @ (A))) => (((fresh_198785932ubject @ E @ (B)) => (fresh_717452603ubject @ E @ D)) | ~ (fresh_795910143ubject @ E @ (A)) | ~ (fresh_81631222sidual @ E @ C) | ~ (! [F:late_subject]: ((F = D) | ~ (late_r689718217ubject @ (A) @ (B) @ C @ F))) | ~ (late_r689718217ubject @ (A) @ (B) @ C @ D) | ~ (finite_finite_name @ (supp_L1759672260t_name @ (B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[88])).
64.30/22.36	thf(132,axiom,((! [A:name,B:name,C:pi]: ((fresh_543891186ion_pi @ A @ (abs_fun_name_pi @ B @ C)) = ((fresh_name_pi @ A @ C) | (A = B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_140_name__fresh__abs)).
64.30/22.36	thf(914,plain,((! [A:name,B:name,C:pi]: ((fresh_543891186ion_pi @ A @ (abs_fun_name_pi @ B @ C)) = ((fresh_name_pi @ A @ C) | (A = B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[132])).
64.30/22.36	thf(17,axiom,((fresh_198785932ubject = (^ [A:name,B:(late_freeRes > (pi > late_subject))]: ~ (member_name @ A @ (supp_L1759672260t_name @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_289_fresh__def)).
64.30/22.36	thf(378,plain,(((fresh_198785932ubject) = (^ [A:name,B:(late_freeRes > (pi > late_subject))]: ~ (member_name @ A @ (supp_L1759672260t_name @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[17])).
64.30/22.36	thf(182,axiom,((! [A:name,B:name,C:pi,D:name,E:name,F:pi]: ((~ ((B != E) | (A != D))) <= (late_transitions @ (output @ A @ B @ C) @ (late_FreeR @ (late_OutputR @ D @ E) @ F))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_115_outputIneqTrans)).
64.30/22.36	thf(1116,plain,((! [A:name,B:name,C:pi,D:name,E:name,F:pi]: (~ (~ (B = E) | ~ (A = D)) | ~ (late_transitions @ (output @ A @ B @ C) @ (late_FreeR @ (late_OutputR @ D @ E) @ F))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[182])).
64.30/22.36	thf(185,axiom,((! [A:name,B:name,C:pi,D:name,E:name]: ((subs @ (match @ A @ B @ C) @ D @ E) = (match @ (subst_name @ A @ D @ E) @ (subst_name @ B @ D @ E) @ (subs @ C @ D @ E))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_155_simps_I5_J)).
64.30/22.36	thf(1133,plain,((! [A:name,B:name,C:pi,D:name,E:name]: ((subs @ (match @ A @ B @ C) @ D @ E) = (match @ (subst_name @ A @ D @ E) @ (subst_name @ B @ D @ E) @ (subs @ C @ D @ E))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[185])).
64.30/22.36	thf(99,axiom,((! [A:(late_subject > (name > (pi > late_freeRes))),B:(late_freeRes > (pi > late_freeRes)),C:name,D:(late_freeRes > $o),E:late_residual]: ((finite_finite_name @ (supp_L1178477943s_name @ A)) => ((finite_finite_name @ (supp_L381160156s_name @ B)) => ((finite_finite_name @ (supp_name_name @ C)) => ((! [F:late_subject,G:name,H:pi]: (D @ (A @ F @ G @ H))) => ((! [F:late_freeRes,G:pi]: (D @ (B @ F @ G))) => ((? [F:late_freeRes]: ((late_r1613948593reeRes @ A @ B @ E @ F) & ! [G:late_freeRes]: ((G = F) <= (late_r1613948593reeRes @ A @ B @ E @ G)))) <= (! [F:late_subject,G:name]: ((((! [H:pi]: ((fresh_1641682979reeRes @ G @ (A @ F @ G @ H)) <= (D @ (A @ F @ G @ H)))) <= (fresh_name_name @ G @ C)) <= (fresh_717452603ubject @ G @ F)) <= (fresh_660367079reeRes @ G @ A))))))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_336_residual_Orec__unique)).
64.30/22.36	thf(752,plain,((! [A:(late_subject > (name > (pi > late_freeRes))),B:(late_freeRes > (pi > late_freeRes)),C:name,D:(late_freeRes > $o),E:late_residual]: ((finite_finite_name @ (supp_L1178477943s_name @ (A))) => ((finite_finite_name @ (supp_L381160156s_name @ (B))) => ((finite_finite_name @ (supp_name_name @ C)) => ((! [F:late_subject,G:name,H:pi]: (D @ (A @ F @ G @ H))) => ((! [F:late_freeRes,G:pi]: (D @ (B @ F @ G))) => (? [F:late_freeRes]: ((late_r1613948593reeRes @ (A) @ (B) @ E @ F) & ! [G:late_freeRes]: ((G = F) | ~ (late_r1613948593reeRes @ (A) @ (B) @ E @ G))) | ~ (! [F:late_subject,G:name]: (! [H:pi]: ((fresh_1641682979reeRes @ G @ (A @ F @ G @ H)) | ~ (D @ (A @ F @ G @ H))) | ~ (fresh_name_name @ G @ C) | ~ (fresh_717452603ubject @ G @ F) | ~ (fresh_660367079reeRes @ G @ (A)))))))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[99])).
64.30/22.36	thf(196,axiom,((! [A:pi,B:late_subject,C:name,D:pi,E:name]: (((fresh_name_pi @ E @ A) => ((fresh_name_pi @ E @ D) <= (E != C))) <= (late_transitions @ A @ (late_BoundR @ B @ C @ D))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_46_freshBoundDerivative_I2_J)).
64.30/22.36	thf(1248,plain,((! [A:pi,B:late_subject,C:name,D:pi,E:name]: (((fresh_name_pi @ E @ A) => ((fresh_name_pi @ E @ D) | (E = C))) | ~ (late_transitions @ A @ (late_BoundR @ B @ C @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[196])).
64.30/22.36	thf(120,axiom,((! [A:(late_subject > (name > (pi > late_freeRes))),B:(late_freeRes > (pi > late_freeRes)),C:late_residual,D:late_freeRes,E:name]: ((finite_finite_name @ (supp_L1178477943s_name @ A)) => ((finite_finite_name @ (supp_L381160156s_name @ B)) => (((! [F:late_freeRes]: ((late_r1613948593reeRes @ A @ B @ C @ F) => (F = D))) => ((fresh_81631222sidual @ E @ C) => (((fresh_256112244reeRes @ E @ B) => (fresh_1641682979reeRes @ E @ D)) <= (fresh_660367079reeRes @ E @ A)))) <= (late_r1613948593reeRes @ A @ B @ C @ D)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_323_residual_Orec__fresh)).
64.30/22.36	thf(865,plain,((! [A:(late_subject > (name > (pi > late_freeRes))),B:(late_freeRes > (pi > late_freeRes)),C:late_residual,D:late_freeRes,E:name]: ((finite_finite_name @ (supp_L1178477943s_name @ (A))) => ((finite_finite_name @ (supp_L381160156s_name @ (B))) => (((! [F:late_freeRes]: ((late_r1613948593reeRes @ (A) @ (B) @ C @ F) => (F = D))) => ((fresh_81631222sidual @ E @ C) => (((fresh_256112244reeRes @ E @ (B)) => (fresh_1641682979reeRes @ E @ D)) | ~ (fresh_660367079reeRes @ E @ (A))))) | ~ (late_r1613948593reeRes @ (A) @ (B) @ C @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[120])).
64.30/22.36	thf(15,axiom,((supp_L381160156s_name = (^ [A:(late_freeRes > (pi > late_freeRes))]: (collect_name @ (^ [B:name]: ~ (fresh_256112244reeRes @ B @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_280_supp__fresh__iff)).
64.30/22.36	thf(373,plain,(((supp_L381160156s_name) = (^ [A:(late_freeRes > (pi > late_freeRes))]: (collect_name @ (^ [B:name]: ~ (fresh_256112244reeRes @ B @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[15])).
64.30/22.36	thf(94,axiom,((! [A:name,B:name,C:name,D:name]: (((late_OutputR @ A @ B) = (late_OutputR @ C @ D)) = ((B = D) & (A = C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_73_Late__Semantics1_OfreeRes_Oinject)).
64.30/22.36	thf(735,plain,((! [A:name,B:name,C:name,D:name]: (((late_OutputR @ A @ B) = (late_OutputR @ C @ D)) = ((B = D) & (A = C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[94])).
64.30/22.36	thf(321,axiom,((! [A:(late_subject > (name > (pi > late_freeRes))),B:(late_freeRes > (pi > late_freeRes)),C:late_subject,D:(late_freeRes > $o),E:late_freeRes,F:pi]: ((finite_finite_name @ (supp_L1178477943s_name @ A)) => (((((((late_r124702629reeRes @ A @ B @ (late_FreeR @ E @ F)) = (B @ E @ F)) <= (! [G:late_subject,H:name,I:pi]: (((fresh_717452603ubject @ H @ G) => ((fresh_717452603ubject @ H @ C) => ((fresh_1641682979reeRes @ H @ (A @ G @ H @ I)) <= (D @ (A @ G @ H @ I))))) <= (fresh_660367079reeRes @ H @ A)))) <= (! [G:late_freeRes,H:pi]: (D @ (B @ G @ H)))) <= (! [G:late_subject,H:name,I:pi]: (D @ (A @ G @ H @ I)))) <= (finite_finite_name @ (supp_L1174290467t_name @ C))) <= (finite_finite_name @ (supp_L381160156s_name @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_301_residual_Orecs_I2_J)).
64.30/22.36	thf(2008,plain,((! [A:(late_subject > (name > (pi > late_freeRes))),B:(late_freeRes > (pi > late_freeRes)),C:late_subject,D:(late_freeRes > $o),E:late_freeRes,F:pi]: ((finite_finite_name @ (supp_L1178477943s_name @ (A))) => (((late_r124702629reeRes @ (A) @ (B) @ (late_FreeR @ E @ F)) = (B @ E @ F)) | ~ (! [G:late_subject,H:name,I:pi]: (((fresh_717452603ubject @ H @ G) => ((fresh_717452603ubject @ H @ C) => ((fresh_1641682979reeRes @ H @ (A @ G @ H @ I)) | ~ (D @ (A @ G @ H @ I))))) | ~ (fresh_660367079reeRes @ H @ (A)))) | ~ (! [G:late_freeRes,H:pi]: (D @ (B @ G @ H))) | ~ (! [G:late_subject,H:name,I:pi]: (D @ (A @ G @ H @ I))) | ~ (finite_finite_name @ (supp_L1174290467t_name @ C)) | ~ (finite_finite_name @ (supp_L381160156s_name @ (B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[321])).
64.30/22.36	thf(209,axiom,((! [A:name,B:name,C:pi,D:late_freeRes,E:pi,F:(late_freeRes > (pi > $o))]: ((late_transitions @ (output @ A @ B @ C) @ (late_FreeR @ D @ E)) => (((D = (late_OutputR @ A @ B)) => ((C = E) => (F @ (late_OutputR @ A @ B) @ C))) => (F @ D @ E))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_117_outputCases)).
64.30/22.36	thf(1303,plain,((! [A:name,B:name,C:pi,D:late_freeRes,E:pi,F:(late_freeRes > (pi > $o))]: ((late_transitions @ (output @ A @ B @ C) @ (late_FreeR @ D @ E)) => (((D = (late_OutputR @ A @ B)) => ((C = E) => (F @ (late_OutputR @ A @ B) @ C))) => (F @ D @ E))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[209])).
64.30/22.36	thf(236,axiom,((! [A:pi,B:name,C:name,D:pi,E:pi,F:name,G:pi]: (((late_transitions @ E @ (late_FreeR @ (late_OutputR @ B @ F) @ G)) => ((((C != B) => ((C != F) => ((late_transitions @ (par @ A @ E) @ (late_FreeR @ late_TauR @ (par @ (subs @ D @ C @ F) @ G))) <= (fresh_name_pi @ C @ G)))) <= (fresh_name_pi @ C @ E)) <= (fresh_name_pi @ C @ A))) <= (late_transitions @ A @ (late_BoundR @ (late_InputS @ B) @ C @ D))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_63_transitions_OComm1)).
64.30/22.36	thf(1527,plain,((! [A:pi,B:name,C:name,D:pi,E:pi,F:name,G:pi]: (((late_transitions @ E @ (late_FreeR @ (late_OutputR @ B @ F) @ G)) => (((~ (C = B)) => ((~ (C = F)) => ((late_transitions @ (par @ A @ E) @ (late_FreeR @ late_TauR @ (par @ (subs @ D @ C @ F) @ G))) | ~ (fresh_name_pi @ C @ G)))) | ~ (fresh_name_pi @ C @ E) | ~ (fresh_name_pi @ C @ A))) | ~ (late_transitions @ A @ (late_BoundR @ (late_InputS @ B) @ C @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[236])).
64.30/22.36	thf(264,axiom,((! [A:name,B:name,C:pi]: ((A != B) => (late_transitions @ (input @ B @ A @ C) @ (late_BoundR @ (late_InputS @ B) @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_128_transitions_OInput)).
64.30/22.36	thf(1673,plain,((! [A:name,B:name,C:pi]: ((~ (A = B)) => (late_transitions @ (input @ B @ A @ C) @ (late_BoundR @ (late_InputS @ B) @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[264])).
64.30/22.36	thf(211,axiom,((! [A:late_subject,B:name,C:pi,D:late_freeRes,E:pi]: ((late_BoundR @ A @ B @ C) != (late_FreeR @ D @ E)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_49_residual_Odistinct_I1_J)).
64.30/22.36	thf(1314,plain,((! [A:late_subject,B:name,C:pi,D:late_freeRes,E:pi]: ~ ((late_BoundR @ A @ B @ C) = (late_FreeR @ D @ E)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[211])).
64.30/22.36	thf(4,axiom,((! [A:name,B:(name > $o)]: ((member_name @ A @ (collect_name @ B)) = (B @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_52_mem__Collect__eq)).
64.30/22.36	thf(341,plain,((! [A:name,B:(name > $o)]: ((member_name @ A @ (collect_name @ (B))) = (B @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[4])).
64.30/22.36	thf(10,axiom,((! [A:name,B:name,C:late_freeRes]: ((fresh_785364841reeRes @ A @ (abs_fu681348580reeRes @ B @ C)) = ((fresh_1641682979reeRes @ A @ C) | (A = B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_138_name__fresh__abs)).
64.30/22.36	thf(358,plain,((! [A:name,B:name,C:late_freeRes]: ((fresh_785364841reeRes @ A @ (abs_fu681348580reeRes @ B @ C)) = ((fresh_1641682979reeRes @ A @ C) | (A = B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[10])).
64.30/22.36	thf(75,axiom,((! [A:name,B:name,C:pi,D:name,E:name,F:pi]: ((input @ A @ B @ C) != (mismatch @ D @ E @ F)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_175_pi_Odistinct_I51_J)).
64.30/22.36	thf(664,plain,((! [A:name,B:name,C:pi,D:name,E:name,F:pi]: ~ ((input @ A @ B @ C) = (mismatch @ D @ E @ F)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[75])).
64.30/22.36	thf(160,axiom,((! [A:name,B:name]: ((fresh_717452603ubject @ A @ (late_BoundOutputS @ B)) = (fresh_name_name @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_76_subject_Ofresh_I2_J)).
64.30/22.36	thf(1033,plain,((! [A:name,B:name]: ((fresh_717452603ubject @ A @ (late_BoundOutputS @ B)) = (fresh_name_name @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[160])).
64.30/22.36	thf(48,axiom,((! [A:(late_subject > (name > (pi > late_subject))),B:(late_freeRes > (pi > late_subject)),C:name,D:(late_subject > $o),E:name,F:late_subject,G:pi]: ((finite_finite_name @ (supp_L1144036959t_name @ A)) => ((finite_finite_name @ (supp_L1759672260t_name @ B)) => ((((! [H:late_freeRes,I:pi]: (D @ (B @ H @ I))) => (((fresh_795910143ubject @ E @ A) => (((fresh_717452603ubject @ E @ F) => ((late_r1347955901ubject @ A @ B @ (late_BoundR @ F @ E @ G)) = (A @ F @ E @ G))) <= (fresh_198785932ubject @ E @ B))) <= (! [H:late_subject,I:name,J:pi]: ((fresh_795910143ubject @ I @ A) => ((fresh_717452603ubject @ I @ H) => ((fresh_name_name @ I @ C) => ((D @ (A @ H @ I @ J)) => (fresh_717452603ubject @ I @ (A @ H @ I @ J))))))))) <= (! [H:late_subject,I:name,J:pi]: (D @ (A @ H @ I @ J)))) <= (finite_finite_name @ (supp_name_name @ C))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_318_residual_Orecs_I1_J)).
64.30/22.36	thf(532,plain,((! [A:(late_subject > (name > (pi > late_subject))),B:(late_freeRes > (pi > late_subject)),C:name,D:(late_subject > $o),E:name,F:late_subject,G:pi]: ((finite_finite_name @ (supp_L1144036959t_name @ (A))) => ((finite_finite_name @ (supp_L1759672260t_name @ (B))) => (((! [H:late_freeRes,I:pi]: (D @ (B @ H @ I))) => (((fresh_795910143ubject @ E @ (A)) => (((fresh_717452603ubject @ E @ F) => ((late_r1347955901ubject @ (A) @ (B) @ (late_BoundR @ F @ E @ G)) = (A @ F @ E @ G))) | ~ (fresh_198785932ubject @ E @ (B)))) | ~ (! [H:late_subject,I:name,J:pi]: ((fresh_795910143ubject @ I @ (A)) => ((fresh_717452603ubject @ I @ H) => ((fresh_name_name @ I @ C) => ((D @ (A @ H @ I @ J)) => (fresh_717452603ubject @ I @ (A @ H @ I @ J))))))))) | ~ (! [H:late_subject,I:name,J:pi]: (D @ (A @ H @ I @ J))) | ~ (finite_finite_name @ (supp_name_name @ C))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[48])).
64.30/22.36	thf(146,axiom,((! [A:name,B:name,C:pi]: (piNil != (match @ A @ B @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_230_pi_Odistinct_I7_J)).
64.30/22.36	thf(955,plain,((! [A:name,B:name,C:pi]: ~ (piNil = (match @ A @ B @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[146])).
64.30/22.36	thf(218,axiom,((! [A:name,B:name,C:pi,D:name,E:pi]: ((input @ A @ B @ C) != (res @ D @ E)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_146_pi_Odistinct_I57_J)).
64.30/22.36	thf(1346,plain,((! [A:name,B:name,C:pi,D:name,E:pi]: ~ ((input @ A @ B @ C) = (res @ D @ E)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[218])).
64.30/22.36	thf(35,axiom,((! [A:pi]: ((supp_pi_name @ (bang @ A)) = (supp_pi_name @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_295_pi_Osupp_I10_J)).
64.30/22.36	thf(464,plain,((! [A:pi]: ((supp_pi_name @ (bang @ A)) = (supp_pi_name @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[35])).
64.30/22.36	thf(200,axiom,((! [A:(late_freeRes > (late_residual > $o)),B:late_freeRes,C:late_residual]: ((! [D:late_subject,E:name,F:pi,G:late_freeRes]: (((A @ G @ (late_BoundR @ D @ E @ F)) <= (fresh_717452603ubject @ E @ D)) <= (fresh_1641682979reeRes @ E @ G))) => ((A @ B @ C) <= (! [D:late_freeRes,E:pi,F:late_freeRes]: (A @ F @ (late_FreeR @ D @ E))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_43_residual_Ostrong__induct)).
64.30/22.36	thf(1261,plain,((! [A:(late_freeRes > (late_residual > $o)),B:late_freeRes,C:late_residual]: ((! [D:late_subject,E:name,F:pi,G:late_freeRes]: ((A @ G @ (late_BoundR @ D @ E @ F)) | ~ (fresh_717452603ubject @ E @ D) | ~ (fresh_1641682979reeRes @ E @ G))) => ((A @ B @ C) | ~ (! [D:late_freeRes,E:pi,F:late_freeRes]: (A @ F @ (late_FreeR @ D @ E))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[200])).
64.30/22.36	thf(158,axiom,((! [A:name,B:name]: ((late_InputS @ A) != (late_BoundOutputS @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_32_Late__Semantics_Osubject_Odistinct_I1_J)).
64.30/22.36	thf(1019,plain,((! [A:name,B:name]: ~ ((late_InputS @ A) = (late_BoundOutputS @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[158])).
64.30/22.36	thf(111,axiom,((! [A:name,B:name,C:name,D:pi]: ((fresh_name_pi @ A @ (match @ B @ C @ D)) = ((fresh_name_name @ A @ B) & (fresh_name_pi @ A @ D) & (fresh_name_name @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_157_pi_Ofresh_I5_J)).
64.30/22.36	thf(822,plain,((! [A:name,B:name,C:name,D:pi]: ((fresh_name_pi @ A @ (match @ B @ C @ D)) = ((fresh_name_name @ A @ B) & (fresh_name_pi @ A @ D) & (fresh_name_name @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[111])).
64.30/22.36	thf(299,axiom,((! [A:pi,B:late_subject,C:name,D:pi,E:pi]: ((late_transitions @ A @ (late_BoundR @ B @ C @ D)) => ((((fresh_717452603ubject @ C @ B) => (late_transitions @ (par @ E @ A) @ (late_BoundR @ B @ C @ (par @ E @ D)))) <= (fresh_name_pi @ C @ A)) <= (fresh_name_pi @ C @ E))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_93_transitions_OPar2B)).
64.30/22.36	thf(1880,plain,((! [A:pi,B:late_subject,C:name,D:pi,E:pi]: ((late_transitions @ A @ (late_BoundR @ B @ C @ D)) => (((fresh_717452603ubject @ C @ B) => (late_transitions @ (par @ E @ A) @ (late_BoundR @ B @ C @ (par @ E @ D)))) | ~ (fresh_name_pi @ C @ A) | ~ (fresh_name_pi @ C @ E))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[299])).
64.30/22.36	thf(208,axiom,((! [A:pi,B:late_subject,C:name,D:pi,E:name]: ((((late_transitions @ (res @ E @ A) @ (late_BoundR @ B @ C @ (res @ E @ D))) <= (E != C)) <= (fresh_717452603ubject @ E @ B)) <= (late_transitions @ A @ (late_BoundR @ B @ C @ D))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_87_Late__Semantics_OResB)).
64.30/22.36	thf(1299,plain,((! [A:pi,B:late_subject,C:name,D:pi,E:name]: ((late_transitions @ (res @ E @ A) @ (late_BoundR @ B @ C @ (res @ E @ D))) | (E = C) | ~ (fresh_717452603ubject @ E @ B) | ~ (late_transitions @ A @ (late_BoundR @ B @ C @ D))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[208])).
64.30/22.36	thf(80,axiom,((! [A:name,B:name,C:pi,D:name,E:name,F:pi]: (((input @ A @ B @ C) = (input @ D @ E @ F)) = ((A = D) & ((abs_fun_name_pi @ B @ C) = (abs_fun_name_pi @ E @ F)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_133_pi_Oinject_I3_J)).
64.30/22.36	thf(691,plain,((! [A:name,B:name,C:pi,D:name,E:name,F:pi]: (((input @ A @ B @ C) = (input @ D @ E @ F)) = ((A = D) & ((abs_fun_name_pi @ B @ C) = (abs_fun_name_pi @ E @ F)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[80])).
64.30/22.36	thf(61,axiom,((! [A:(late_subject > $o),B:late_subject]: ((! [C:name]: (A @ (late_InputS @ C))) => ((A @ B) <= (! [C:name]: (A @ (late_BoundOutputS @ C))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_37_subject_Oinducts)).
64.30/22.36	thf(607,plain,((! [A:(late_subject > $o),B:late_subject]: ((! [C:name]: (A @ (late_InputS @ C))) => ((A @ B) | ~ (! [C:name]: (A @ (late_BoundOutputS @ C))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[61])).
64.30/22.36	thf(249,axiom,((! [A:(late_subject > (late_residual > $o)),B:late_subject,C:late_residual]: (((A @ B @ C) <= (! [D:late_freeRes,E:pi,F:late_subject]: (A @ F @ (late_FreeR @ D @ E)))) <= (! [D:late_subject,E:name,F:pi,G:late_subject]: ((fresh_717452603ubject @ E @ G) => ((fresh_717452603ubject @ E @ D) => (A @ G @ (late_BoundR @ D @ E @ F)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_42_residual_Ostrong__induct)).
64.30/22.36	thf(1606,plain,((! [A:(late_subject > (late_residual > $o)),B:late_subject,C:late_residual]: ((A @ B @ C) | ~ (! [D:late_freeRes,E:pi,F:late_subject]: (A @ F @ (late_FreeR @ D @ E))) | ~ (! [D:late_subject,E:name,F:pi,G:late_subject]: ((fresh_717452603ubject @ E @ G) => ((fresh_717452603ubject @ E @ D) => (A @ G @ (late_BoundR @ D @ E @ F)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[249])).
64.30/22.36	thf(1,conjecture,((late_transitions @ (par @ (par @ p @ q) @ r) @ (late_FreeR @ late_TauR @ (res @ y @ (par @ (par @ p @ q2) @ (subs @ r2 @ x @ y)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
64.30/22.36	thf(2,negated_conjecture,((~ (late_transitions @ (par @ (par @ p @ q) @ r) @ (late_FreeR @ late_TauR @ (res @ y @ (par @ (par @ p @ q2) @ (subs @ r2 @ x @ y))))))),inference(neg_conjecture,[status(cth)],[1])).
64.30/22.36	thf(337,plain,((~ (late_transitions @ (par @ (par @ p @ q) @ r) @ (late_FreeR @ late_TauR @ (res @ y @ (par @ (par @ p @ q2) @ (subs @ r2 @ x @ y))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])).
64.30/22.36	thf(139,axiom,((supp_name_name = (^ [A:name]: (collect_name @ (^ [B:name]: ~ (fresh_name_name @ B @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_273_supp__fresh__iff)).
64.30/22.36	thf(935,plain,(((supp_name_name) = (^ [A:name]: (collect_name @ (^ [B:name]: ~ (fresh_name_name @ B @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[139])).
64.30/22.36	thf(135,axiom,((! [A:late_subject]: ~ (! [B:name]: ~ (fresh_717452603ubject @ B @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_33_name__exists__fresh)).
64.30/22.36	thf(923,plain,((! [A:late_subject]: ~ (! [B:name]: ~ (fresh_717452603ubject @ B @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[135])).
64.30/22.36	thf(189,axiom,((x != y)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_cClose2_Ohyps_I6_J)).
64.30/22.36	thf(1184,plain,((~ (x = y))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[189])).
64.30/22.36	thf(228,axiom,((! [A:pi,B:pi,C:pi,D:pi]: (((par @ A @ B) = (par @ C @ D)) = ((B = D) & (A = C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_59_pi_Oinject_I7_J)).
64.30/22.36	thf(1463,plain,((! [A:pi,B:pi,C:pi,D:pi]: (((par @ A @ B) = (par @ C @ D)) = ((B = D) & (A = C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[228])).
64.30/22.36	thf(292,axiom,((! [A:name,B:name,C:pi,D:late_residual]: ~ (late_transitions @ (res @ A @ (input @ A @ B @ C)) @ D))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_150_resTrans_I2_J)).
64.30/22.36	thf(1848,plain,((! [A:name,B:name,C:pi,D:late_residual]: ~ (late_transitions @ (res @ A @ (input @ A @ B @ C)) @ D))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[292])).
64.30/22.36	thf(53,axiom,((! [A:name]: (fresh_name_pi @ A @ piNil))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_195_pi_Ofresh_I1_J)).
64.30/22.36	thf(560,plain,((! [A:name]: (fresh_name_pi @ A @ piNil))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[53])).
64.30/22.36	thf(78,axiom,((! [A:(late_subject > (name > (pi > name))),B:(late_freeRes > (pi > name)),C:late_subject,D:(name > $o),E:name,F:late_subject,G:pi]: (((finite_finite_name @ (supp_L926407557e_name @ B)) => ((((((fresh_621211324i_name @ E @ A) => ((fresh_1030632537i_name @ E @ B) => ((fresh_717452603ubject @ E @ F) => ((late_r1174711868c_name @ A @ B @ (late_BoundR @ F @ E @ G)) = (A @ F @ E @ G))))) <= (! [H:late_subject,I:name,J:pi]: ((fresh_621211324i_name @ I @ A) => ((((fresh_name_name @ I @ (A @ H @ I @ J)) <= (D @ (A @ H @ I @ J))) <= (fresh_717452603ubject @ I @ C)) <= (fresh_717452603ubject @ I @ H))))) <= (! [H:late_freeRes,I:pi]: (D @ (B @ H @ I)))) <= (! [H:late_subject,I:name,J:pi]: (D @ (A @ H @ I @ J)))) <= (finite_finite_name @ (supp_L1174290467t_name @ C)))) <= (finite_finite_name @ (supp_L538372628e_name @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_312_residual_Orecs_I1_J)).
64.30/22.36	thf(676,plain,((! [A:(late_subject > (name > (pi > name))),B:(late_freeRes > (pi > name)),C:late_subject,D:(name > $o),E:name,F:late_subject,G:pi]: (((finite_finite_name @ (supp_L926407557e_name @ (B))) => (((fresh_621211324i_name @ E @ (A)) => ((fresh_1030632537i_name @ E @ (B)) => ((fresh_717452603ubject @ E @ F) => ((late_r1174711868c_name @ (A) @ (B) @ (late_BoundR @ F @ E @ G)) = (A @ F @ E @ G))))) | ~ (! [H:late_subject,I:name,J:pi]: ((fresh_621211324i_name @ I @ (A)) => ((fresh_name_name @ I @ (A @ H @ I @ J)) | ~ (D @ (A @ H @ I @ J)) | ~ (fresh_717452603ubject @ I @ C) | ~ (fresh_717452603ubject @ I @ H)))) | ~ (! [H:late_freeRes,I:pi]: (D @ (B @ H @ I))) | ~ (! [H:late_subject,I:name,J:pi]: (D @ (A @ H @ I @ J))) | ~ (finite_finite_name @ (supp_L1174290467t_name @ C)))) | ~ (finite_finite_name @ (supp_L538372628e_name @ (A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[78])).
64.30/22.36	thf(174,axiom,((! [A:pi,B:name,C:name,D:pi,E:pi,F:name,G:pi]: ((late_transitions @ A @ (late_BoundR @ (late_InputS @ B) @ C @ D)) => ((late_transitions @ (par @ A @ E) @ (late_FreeR @ late_TauR @ (par @ (subs @ D @ C @ F) @ G))) <= (late_transitions @ E @ (late_FreeR @ (late_OutputR @ B @ F) @ G)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_67_Late__Semantics_OComm1)).
64.30/22.36	thf(1088,plain,((! [A:pi,B:name,C:name,D:pi,E:pi,F:name,G:pi]: ((late_transitions @ A @ (late_BoundR @ (late_InputS @ B) @ C @ D)) => ((late_transitions @ (par @ A @ E) @ (late_FreeR @ late_TauR @ (par @ (subs @ D @ C @ F) @ G))) | ~ (late_transitions @ E @ (late_FreeR @ (late_OutputR @ B @ F) @ G)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[174])).
64.30/22.36	thf(12,axiom,((! [A:name,B:name,C:late_subject]: ((fresh_728038529ubject @ A @ (abs_fu1904601852ubject @ B @ C)) = ((fresh_717452603ubject @ A @ C) | (A = B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_141_abs__fresh_I1_J)).
64.30/22.36	thf(364,plain,((! [A:name,B:name,C:late_subject]: ((fresh_728038529ubject @ A @ (abs_fu1904601852ubject @ B @ C)) = ((fresh_717452603ubject @ A @ C) | (A = B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[12])).
64.30/22.36	thf(149,axiom,((! [A:(late_subject > (name > (pi > name))),B:(late_freeRes > (pi > name)),C:late_freeRes,D:(name > $o),E:name,F:late_subject,G:pi]: ((((finite_finite_name @ (supp_L1228270395s_name @ C)) => ((! [H:late_subject,I:name,J:pi]: (D @ (A @ H @ I @ J))) => ((((fresh_621211324i_name @ E @ A) => ((((late_r1174711868c_name @ A @ B @ (late_BoundR @ F @ E @ G)) = (A @ F @ E @ G)) <= (fresh_717452603ubject @ E @ F)) <= (fresh_1030632537i_name @ E @ B))) <= (! [H:late_subject,I:name,J:pi]: ((fresh_621211324i_name @ I @ A) => ((((fresh_name_name @ I @ (A @ H @ I @ J)) <= (D @ (A @ H @ I @ J))) <= (fresh_1641682979reeRes @ I @ C)) <= (fresh_717452603ubject @ I @ H))))) <= (! [H:late_freeRes,I:pi]: (D @ (B @ H @ I)))))) <= (finite_finite_name @ (supp_L926407557e_name @ B))) <= (finite_finite_name @ (supp_L538372628e_name @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_316_residual_Orecs_I1_J)).
64.30/22.36	thf(972,plain,((! [A:(late_subject > (name > (pi > name))),B:(late_freeRes > (pi > name)),C:late_freeRes,D:(name > $o),E:name,F:late_subject,G:pi]: (((finite_finite_name @ (supp_L1228270395s_name @ C)) => ((! [H:late_subject,I:name,J:pi]: (D @ (A @ H @ I @ J))) => (((fresh_621211324i_name @ E @ (A)) => (((late_r1174711868c_name @ (A) @ (B) @ (late_BoundR @ F @ E @ G)) = (A @ F @ E @ G)) | ~ (fresh_717452603ubject @ E @ F) | ~ (fresh_1030632537i_name @ E @ (B)))) | ~ (! [H:late_subject,I:name,J:pi]: ((fresh_621211324i_name @ I @ (A)) => ((fresh_name_name @ I @ (A @ H @ I @ J)) | ~ (D @ (A @ H @ I @ J)) | ~ (fresh_1641682979reeRes @ I @ C) | ~ (fresh_717452603ubject @ I @ H)))) | ~ (! [H:late_freeRes,I:pi]: (D @ (B @ H @ I)))))) | ~ (finite_finite_name @ (supp_L926407557e_name @ (B))) | ~ (finite_finite_name @ (supp_L538372628e_name @ (A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[149])).
64.30/22.36	thf(32,axiom,((! [A:pi,B:name,C:name,D:pi]: ((tau @ A) != (match @ B @ C @ D)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_178_pi_Odistinct_I37_J)).
64.30/22.36	thf(454,plain,((! [A:pi,B:name,C:name,D:pi]: ~ ((tau @ A) = (match @ B @ C @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[32])).
64.30/22.36	thf(168,axiom,((! [A:pi,B:late_residual]: ((late_transitions @ (par @ A @ (bang @ A)) @ B) => (late_transitions @ (bang @ A) @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_231_Bang)).
64.30/22.36	thf(1069,plain,((! [A:pi,B:late_residual]: ((late_transitions @ (par @ A @ (bang @ A)) @ B) => (late_transitions @ (bang @ A) @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[168])).
64.30/22.36	thf(86,axiom,((! [A:name,B:name,C:pi,D:pi]: ((mismatch @ A @ B @ C) != (bang @ D)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_225_pi_Odistinct_I77_J)).
64.30/22.36	thf(708,plain,((! [A:name,B:name,C:pi,D:pi]: ~ ((mismatch @ A @ B @ C) = (bang @ D)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[86])).
64.30/22.36	thf(309,axiom,((! [A:name,B:name,C:pi,D:late_subject,E:name,F:pi]: ~ (late_transitions @ (output @ A @ B @ C) @ (late_BoundR @ D @ E @ F)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_110_outputBoundTrans)).
64.30/22.36	thf(1912,plain,((! [A:name,B:name,C:pi,D:late_subject,E:name,F:pi]: ~ (late_transitions @ (output @ A @ B @ C) @ (late_BoundR @ D @ E @ F)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[309])).
64.30/22.36	thf(2230,plain,($false),inference(cvc4,[status(thm)],[892,1036,629,1190,2031,1767,347,962,777,1110,481,1337,1718,1855,1211,1068,1522,2062,1618,1073,582,762,873,1205,878,440,385,1310,500,797,1872,1761,1063,2042,1095,2046,2020,885,436,1904,1623,2039,1760,504,1907,1330,587,1059,389,1628,917,702,802,344,1013,1641,1704,421,870,1890,1741,1398,881,416,1415,1946,1811,1040,1136,937,1677,353,2058,1886,774,1394,988,1943,1521,602,766,920,380,1691,661,2061,1915,1708,1047,1730,910,1091,1255,862,392,729,825,1343,1883,1560,1423,467,847,361,1920,1296,1687,461,1656,1128,1106,697,1851,615,725,610,1350,1936,650,948,1540,1006,1683,2023,526,1937,1419,1889,1644,622,1099,738,1266,1932,984,721,1947,2052,1333,1318,633,1695,1563,1712,1286,1187,530,888,926,1814,1086,1466,1071,906,1278,618,1680,745,2028,1698,1103,375,733,819,694,1615,843,772,1620,743,579,1701,413,562,904,382,1635,2055,1897,1638,350,1258,704,604,831,1282,1524,1771,1122,599,509,1043,477,2025,799,483,700,626,769,943,1877,1471,552,367,1557,1293,668,521,1594,959,827,780,1015,1176,1113,653,658,1626,1873,1208,548,749,1990,355,1551,473,1076,939,1340,458,1181,1547,1611,1400,1566,1647,1252,1753,1531,409,712,1003,1770,1987,370,1763,951,1738,544,338,1901,1085,470,1543,1485,1749,727,2030,612,876,859,991,656,1023,1940,845,450,556,931,1553,671,688,1412,1289,1734,1010,1390,1590,1903,1481,946,1745,1854,418,433,929,1193,1661,2036,716,914,378,1116,1133,752,1248,865,373,735,2008,1303,1527,1673,1314,341,358,664,1033,532,955,1346,464,1261,1019,822,1880,1299,691,607,1606,337,935,923,1184,1463,1848,560,676,1088,364,972,454,1069,708,1912])).
64.30/22.36	% SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
64.30/22.36	% [INFO] 	 Killing All external provers ... 
64.30/22.36	FINAL WATCH: 54.4 CPU 18.2 WC
64.30/22.36	Killed 3 orphans
64.30/22.36	Killed 1 orphans
64.30/22.36	EOF