0.09/0.11	% Problem    : Vampire---4.8_21356 : TPTP v0.0.0. Released v0.0.0.
0.09/0.12	% Command    : run_E %s %d THM
0.12/0.32	% Computer : n019.cluster.edu
0.12/0.32	% Model    : x86_64 x86_64
0.12/0.32	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.32	% Memory   : 8042.1875MB
0.12/0.32	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.32	% CPULimit   : 1440
0.12/0.32	% WCLimit    : 180
0.12/0.32	% DateTime   : Mon Jul  3 12:54:49 EDT 2023
0.12/0.32	% CPUTime    : 
0.17/0.45	Running higher-order theorem provingRunning: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356
0.17/0.45	# Version: 3.1pre001-ho
0.17/0.50	# Preprocessing class: HSLMSLSSLLLCHFA.
0.17/0.50	# Scheduled 8 strats onto 8 cores with 180 seconds (1440 total)
0.17/0.50	# Starting ehoh_best5 with 180s (1) cores
0.17/0.50	# Starting almost_fo_3_lam with 180s (1) cores
0.17/0.50	# Starting new_bool_5 with 180s (1) cores
0.17/0.50	# Starting pre_casc_3 with 180s (1) cores
0.17/0.50	# Starting ho_unfolding_8 with 180s (1) cores
0.17/0.50	# Starting new_ho_10_cnf2 with 180s (1) cores
0.17/0.50	# Starting new_bool_3 with 180s (1) cores
0.17/0.50	# Starting new_ho_5 with 180s (1) cores
0.17/0.50	# new_bool_3 with pid 21547 completed with status 0
0.17/0.50	# Result found by new_bool_3
0.17/0.50	# Preprocessing class: HSLMSLSSLLLCHFA.
0.17/0.50	# Scheduled 8 strats onto 8 cores with 180 seconds (1440 total)
0.17/0.50	# Starting ehoh_best5 with 180s (1) cores
0.17/0.50	# Starting almost_fo_3_lam with 180s (1) cores
0.17/0.50	# Starting new_bool_5 with 180s (1) cores
0.17/0.50	# Starting pre_casc_3 with 180s (1) cores
0.17/0.50	# Starting ho_unfolding_8 with 180s (1) cores
0.17/0.50	# Starting new_ho_10_cnf2 with 180s (1) cores
0.17/0.50	# Starting new_bool_3 with 180s (1) cores
0.17/0.50	# SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
0.17/0.50	# Search class: HGHSM-FSLM31-MHFMMSBN
0.17/0.50	# Scheduled 6 strats onto 1 cores with 180 seconds (180 total)
0.17/0.50	# Starting new_ho_10_cnf2 with 98s (1) cores
0.17/0.50	# new_ho_10_cnf2 with pid 21550 completed with status 0
0.17/0.50	# Result found by new_ho_10_cnf2
0.17/0.50	# Preprocessing class: HSLMSLSSLLLCHFA.
0.17/0.50	# Scheduled 8 strats onto 8 cores with 180 seconds (1440 total)
0.17/0.50	# Starting ehoh_best5 with 180s (1) cores
0.17/0.50	# Starting almost_fo_3_lam with 180s (1) cores
0.17/0.50	# Starting new_bool_5 with 180s (1) cores
0.17/0.50	# Starting pre_casc_3 with 180s (1) cores
0.17/0.50	# Starting ho_unfolding_8 with 180s (1) cores
0.17/0.50	# Starting new_ho_10_cnf2 with 180s (1) cores
0.17/0.50	# Starting new_bool_3 with 180s (1) cores
0.17/0.50	# SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
0.17/0.50	# Search class: HGHSM-FSLM31-MHFMMSBN
0.17/0.50	# Scheduled 6 strats onto 1 cores with 180 seconds (180 total)
0.17/0.50	# Starting new_ho_10_cnf2 with 98s (1) cores
0.17/0.50	# Preprocessing time       : 0.004 s
0.17/0.50	# Presaturation interreduction done
0.17/0.50	
0.17/0.50	# Proof found!
0.17/0.50	# SZS status Theorem
0.17/0.50	# SZS output start CNFRefutation
0.17/0.50	thf(decl_22, type, in: $i > $i > $o).
0.17/0.50	thf(decl_23, type, exu: ($i > $o) > $o).
0.17/0.50	thf(decl_24, type, setextAx: $o).
0.17/0.50	thf(decl_25, type, emptyset: $i).
0.17/0.50	thf(decl_26, type, emptysetAx: $o).
0.17/0.50	thf(decl_27, type, setadjoin: $i > $i > $i).
0.17/0.50	thf(decl_28, type, setadjoinAx: $o).
0.17/0.50	thf(decl_29, type, powerset: $i > $i).
0.17/0.50	thf(decl_30, type, powersetAx: $o).
0.17/0.50	thf(decl_31, type, setunion: $i > $i).
0.17/0.50	thf(decl_32, type, setunionAx: $o).
0.17/0.50	thf(decl_33, type, omega: $i).
0.17/0.50	thf(decl_34, type, omega0Ax: $o).
0.17/0.50	thf(decl_35, type, omegaSAx: $o).
0.17/0.50	thf(decl_36, type, omegaIndAx: $o).
0.17/0.50	thf(decl_37, type, replAx: $o).
0.17/0.50	thf(decl_38, type, foundationAx: $o).
0.17/0.50	thf(decl_39, type, wellorderingAx: $o).
0.17/0.50	thf(decl_40, type, descr: ($i > $o) > $i).
0.17/0.50	thf(decl_41, type, descrp: $o).
0.17/0.50	thf(decl_42, type, dsetconstr: $i > ($i > $o) > $i).
0.17/0.50	thf(decl_43, type, dsetconstrI: $o).
0.17/0.50	thf(decl_44, type, dsetconstrEL: $o).
0.17/0.50	thf(decl_45, type, dsetconstrER: $o).
0.17/0.50	thf(decl_46, type, exuE1: $o).
0.17/0.50	thf(decl_47, type, prop2set: $o > $i).
0.17/0.50	thf(decl_48, type, prop2setE: $o).
0.17/0.50	thf(decl_49, type, emptysetE: $o).
0.17/0.50	thf(decl_50, type, emptysetimpfalse: $o).
0.17/0.50	thf(decl_51, type, notinemptyset: $o).
0.17/0.50	thf(decl_52, type, exuE3e: $o).
0.17/0.50	thf(decl_53, type, setext: $o).
0.17/0.50	thf(decl_54, type, emptyI: $o).
0.17/0.50	thf(decl_55, type, noeltsimpempty: $o).
0.17/0.50	thf(decl_56, type, setbeta: $o).
0.17/0.50	thf(decl_57, type, nonempty: $i > $o).
0.17/0.50	thf(decl_58, type, nonemptyE1: $o).
0.17/0.50	thf(decl_59, type, nonemptyI: $o).
0.17/0.50	thf(decl_60, type, nonemptyI1: $o).
0.17/0.50	thf(decl_61, type, setadjoinIL: $o).
0.17/0.50	thf(decl_62, type, emptyinunitempty: $o).
0.17/0.50	thf(decl_63, type, setadjoinIR: $o).
0.17/0.50	thf(decl_64, type, setadjoinE: $o).
0.17/0.50	thf(decl_65, type, setadjoinOr: $o).
0.17/0.50	thf(decl_66, type, setoftrueEq: $o).
0.17/0.50	thf(decl_67, type, powersetI: $o).
0.17/0.50	thf(decl_68, type, emptyinPowerset: $o).
0.17/0.50	thf(decl_69, type, emptyInPowerset: $o).
0.17/0.50	thf(decl_70, type, powersetE: $o).
0.17/0.50	thf(decl_71, type, setunionI: $o).
0.17/0.50	thf(decl_72, type, setunionE: $o).
0.17/0.50	thf(decl_73, type, subPowSU: $o).
0.17/0.50	thf(decl_74, type, exuE2: $o).
0.17/0.50	thf(decl_75, type, nonemptyImpWitness: $o).
0.17/0.50	thf(decl_76, type, uniqinunit: $o).
0.17/0.50	thf(decl_77, type, notinsingleton: $o).
0.17/0.50	thf(decl_78, type, eqinunit: $o).
0.17/0.50	thf(decl_79, type, singletonsswitch: $o).
0.17/0.50	thf(decl_80, type, upairsetE: $o).
0.17/0.50	thf(decl_81, type, upairsetIL: $o).
0.17/0.50	thf(decl_82, type, upairsetIR: $o).
0.17/0.50	thf(decl_83, type, emptyE1: $o).
0.17/0.50	thf(decl_84, type, vacuousDall: $o).
0.17/0.50	thf(decl_85, type, quantDeMorgan1: $o).
0.17/0.50	thf(decl_86, type, quantDeMorgan2: $o).
0.17/0.50	thf(decl_87, type, quantDeMorgan3: $o).
0.17/0.50	thf(decl_88, type, quantDeMorgan4: $o).
0.17/0.50	thf(decl_89, type, prop2setI: $o).
0.17/0.50	thf(decl_91, type, prop2set2propI: $o).
0.17/0.50	thf(decl_92, type, notdexE: $o).
0.17/0.50	thf(decl_93, type, notdallE: $o).
0.17/0.50	thf(decl_94, type, exuI1: $o).
0.17/0.50	thf(decl_95, type, exuI3: $o).
0.17/0.50	thf(decl_96, type, exuI2: $o).
0.17/0.50	thf(decl_97, type, inCongP: $o).
0.17/0.50	thf(decl_98, type, in__Cong: $o).
0.17/0.50	thf(decl_99, type, exuE3u: $o).
0.17/0.50	thf(decl_100, type, exu__Cong: $o).
0.17/0.50	thf(decl_101, type, emptyset__Cong: $o).
0.17/0.50	thf(decl_102, type, setadjoin__Cong: $o).
0.17/0.50	thf(decl_103, type, powerset__Cong: $o).
0.17/0.50	thf(decl_104, type, setunion__Cong: $o).
0.17/0.50	thf(decl_105, type, omega__Cong: $o).
0.17/0.50	thf(decl_106, type, exuEu: $o).
0.17/0.50	thf(decl_107, type, descr__Cong: $o).
0.17/0.50	thf(decl_108, type, dsetconstr__Cong: $o).
0.17/0.50	thf(decl_109, type, subset: $i > $i > $o).
0.17/0.50	thf(decl_112, type, subsetI1: $o).
0.17/0.50	thf(decl_113, type, eqimpsubset2: $o).
0.17/0.50	thf(decl_114, type, eqimpsubset1: $o).
0.17/0.50	thf(decl_115, type, subsetI2: $o).
0.17/0.50	thf(decl_116, type, emptysetsubset: $o).
0.17/0.50	thf(decl_117, type, subsetE: $o).
0.17/0.50	thf(decl_118, type, subsetE2: $o).
0.17/0.50	thf(decl_119, type, notsubsetI: $o).
0.17/0.50	thf(decl_120, type, notequalI1: $o).
0.17/0.50	thf(decl_121, type, notequalI2: $o).
0.17/0.50	thf(decl_122, type, subsetRefl: $o).
0.17/0.50	thf(decl_123, type, subsetTrans: $o).
0.17/0.50	thf(decl_124, type, setadjoinSub: $o).
0.17/0.50	thf(decl_125, type, setadjoinSub2: $o).
0.17/0.50	thf(decl_126, type, subset2powerset: $o).
0.17/0.50	thf(decl_127, type, setextsub: $o).
0.17/0.50	thf(decl_128, type, subsetemptysetimpeq: $o).
0.17/0.50	thf(decl_129, type, powersetI1: $o).
0.17/0.50	thf(decl_130, type, powersetE1: $o).
0.17/0.50	thf(decl_131, type, inPowerset: $o).
0.17/0.50	thf(decl_132, type, powersetsubset: $o).
0.17/0.50	thf(decl_133, type, sepInPowerset: $o).
0.17/0.50	thf(decl_134, type, sepSubset: $o).
0.17/0.50	thf(decl_135, type, binunion: $i > $i > $i).
0.17/0.50	thf(decl_136, type, binunionIL: $o).
0.17/0.50	thf(decl_137, type, upairset2IR: $o).
0.17/0.50	thf(decl_138, type, binunionIR: $o).
0.17/0.50	thf(decl_139, type, binunionEcases: $o).
0.17/0.50	thf(decl_140, type, binunionE: $o).
0.17/0.50	thf(decl_141, type, binunionLsub: $o).
0.17/0.50	thf(decl_142, type, binunionRsub: $o).
0.17/0.50	thf(decl_143, type, binintersect: $i > $i > $i).
0.17/0.50	thf(decl_144, type, binintersectI: $o).
0.17/0.50	thf(decl_145, type, binintersectSubset5: $o).
0.17/0.50	thf(decl_146, type, binintersectEL: $o).
0.17/0.50	thf(decl_147, type, binintersectLsub: $o).
0.17/0.50	thf(decl_148, type, binintersectSubset2: $o).
0.17/0.50	thf(decl_149, type, binintersectSubset3: $o).
0.17/0.50	thf(decl_150, type, binintersectER: $o).
0.17/0.50	thf(decl_151, type, disjointsetsI1: $o).
0.17/0.50	thf(decl_152, type, binintersectRsub: $o).
0.17/0.50	thf(decl_153, type, binintersectSubset4: $o).
0.17/0.50	thf(decl_154, type, binintersectSubset1: $o).
0.17/0.50	thf(decl_155, type, bs114d: $o).
0.17/0.50	thf(decl_157, type, setminus: $i > $i > $i).
0.17/0.50	thf(decl_158, type, setminusI: $o).
0.17/0.50	thf(decl_159, type, epred1_0: $o).
0.17/0.50	thf(decl_160, type, esk1_2: $i > $i > $i).
0.17/0.50	thf(decl_161, type, esk2_2: $i > $i > $i).
0.17/0.50	thf(decl_162, type, esk3_2: $i > $i > $i).
0.17/0.50	thf(decl_163, type, esk4_1: $i > $i).
0.17/0.50	thf(decl_164, type, esk5_2: ($i > $i > $o) > $i > $i).
0.17/0.50	thf(decl_165, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
0.17/0.50	thf(decl_166, type, esk7_2: ($i > $i > $o) > $i > $i).
0.17/0.50	thf(decl_167, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
0.17/0.50	thf(decl_168, type, esk9_1: $i > $i).
0.17/0.50	thf(decl_169, type, esk10_2: ($i > $o) > $i > $i).
0.17/0.50	thf(decl_170, type, esk11_2: ($i > $o) > $i > $i).
0.17/0.50	thf(decl_171, type, esk12_1: ($i > $o) > $i).
0.17/0.50	thf(decl_172, type, esk13_2: ($i > $o) > $i > $i).
0.17/0.50	thf(decl_173, type, esk14_1: ($i > $o) > $i).
0.17/0.50	thf(decl_174, type, esk15_2: $i > $i > $i).
0.17/0.50	thf(decl_175, type, esk16_2: $i > $i > $i).
0.17/0.50	thf(decl_176, type, esk17_1: $i > $i).
0.17/0.50	thf(decl_177, type, esk18_1: $i > $i).
0.17/0.50	thf(decl_178, type, esk19_1: $i > $i).
0.17/0.50	thf(decl_179, type, esk20_2: $i > $i > $i).
0.17/0.50	thf(decl_180, type, esk21_3: $i > $i > $o > $i).
0.17/0.50	thf(decl_181, type, esk22_2: ($i > $o) > $i > $i).
0.17/0.50	thf(decl_182, type, esk23_1: ($i > $o) > $i).
0.17/0.50	thf(decl_183, type, esk24_1: $i > $i).
0.17/0.50	thf(decl_184, type, esk25_2: $i > ($i > $o) > $i).
0.17/0.50	thf(decl_185, type, esk26_2: $i > ($i > $o) > $i).
0.17/0.50	thf(decl_186, type, esk27_2: $i > ($i > $o) > $i).
0.17/0.50	thf(decl_187, type, esk28_2: $i > ($i > $o) > $i).
0.17/0.50	thf(decl_188, type, esk29_2: $i > ($i > $o) > $i).
0.17/0.50	thf(decl_189, type, esk30_2: $i > ($i > $o) > $i).
0.17/0.50	thf(decl_190, type, esk31_2: ($i > $o) > $i > $i).
0.17/0.50	thf(decl_191, type, esk32_1: ($i > $o) > $i).
0.17/0.50	thf(decl_192, type, esk33_1: ($i > $o) > $i).
0.17/0.50	thf(decl_193, type, esk34_1: ($i > $o) > $i).
0.17/0.50	thf(decl_194, type, esk35_1: ($i > $o) > $i).
0.17/0.50	thf(decl_195, type, esk36_2: ($i > $o) > $i > $i).
0.17/0.50	thf(decl_196, type, esk37_1: ($i > $o) > $i).
0.17/0.50	thf(decl_197, type, esk38_2: ($i > $o) > $i > $i).
0.17/0.50	thf(decl_198, type, esk39_2: ($i > $o) > ($i > $o) > $i).
0.17/0.50	thf(decl_199, type, esk40_2: ($i > $o) > ($i > $o) > $i).
0.17/0.50	thf(decl_200, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
0.17/0.50	thf(decl_201, type, esk42_2: ($i > $o) > ($i > $o) > $i).
0.17/0.50	thf(decl_202, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
0.17/0.50	thf(decl_203, type, esk44_2: ($i > $o) > ($i > $o) > $i).
0.17/0.50	thf(decl_204, type, esk45_2: ($i > $o) > $i > $i).
0.17/0.50	thf(decl_205, type, esk46_2: ($i > $o) > ($i > $o) > $i).
0.17/0.50	thf(decl_206, type, esk47_2: ($i > $o) > ($i > $o) > $i).
0.17/0.50	thf(decl_207, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
0.17/0.50	thf(decl_208, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
0.17/0.50	thf(decl_209, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
0.17/0.50	thf(decl_210, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
0.17/0.50	thf(decl_211, type, esk52_2: $i > $i > $i).
0.17/0.50	thf(decl_212, type, esk53_2: $i > $i > $i).
0.17/0.50	thf(decl_213, type, esk54_2: $i > $i > $i).
0.17/0.50	thf(decl_214, type, esk55_0: $i).
0.17/0.50	thf(decl_215, type, esk56_0: $i).
0.17/0.50	thf(decl_216, type, esk57_0: $i).
0.17/0.50	thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', exuE3u)).
0.17/0.50	thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', exu)).
0.17/0.50	thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', exu__Cong)).
0.17/0.50	thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', nonempty)).
0.17/0.50	thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', descrp)).
0.17/0.50	thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', exuI1)).
0.17/0.50	thf(setminus, axiom, ((setminus)=(^[X4:$i, X5:$i]:(dsetconstr @ X4 @ (^[X2:$i]:(~((in @ X2 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', setminus)).
0.17/0.50	thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', exuI2)).
0.17/0.50	thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))=>((exu @ (^[X2:$i]:((X17 @ X2))))=>((descr @ (^[X2:$i]:((X1 @ X2))))=(descr @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', descr__Cong)).
0.17/0.50	thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', exuEu)).
0.17/0.50	thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', exuI3)).
0.17/0.50	thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', exuE2)).
0.17/0.50	thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', nonemptyI)).
0.17/0.50	thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', exuE3e)).
0.17/0.50	thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', exuE1)).
0.17/0.50	thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', replAx)).
0.17/0.50	thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', nonemptyE1)).
0.17/0.50	thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', dsetconstrER)).
0.17/0.50	thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(dsetconstr @ X5 @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', dsetconstr__Cong)).
0.17/0.50	thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', setminusI)).
0.17/0.50	thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', sepSubset)).
0.17/0.50	thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', sepInPowerset)).
0.17/0.50	thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', nonemptyImpWitness)).
0.17/0.50	thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', emptyE1)).
0.17/0.50	thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', setoftrueEq)).
0.17/0.50	thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', nonemptyI1)).
0.17/0.50	thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', setbeta)).
0.17/0.50	thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', dsetconstrEL)).
0.17/0.50	thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', dsetconstrI)).
0.17/0.50	thf(setminusEL, conjecture, ((((setadjoinAx)=>((((omega0Ax)=>(((omegaIndAx)=>((replAx)=>(((wellorderingAx)=>(((dsetconstrI)=>((dsetconstrEL)=>(((exuE1)=>((prop2setE)=>(((((exuE3e)=>((setext)=>((((setbeta)=>(((nonemptyI)=>((nonemptyI1)=>(((emptyinunitempty)=>(((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>(((powersetE)=>((setunionI)=>((((exuE2)=>(((((eqinunit)=>((((((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>(((quantDeMorgan4)=>((((notdexE)=>(((exuI1)=>(((exuI2)=>((inCongP)=>(((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((((setunion__Cong)=>(((((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>(((subsetI2)=>((((subsetE2)=>(((notequalI1)=>((notequalI2)=>((subsetRefl)=>(((setadjoinSub)=>((((setextsub)=>((subsetemptysetimpeq)=>((powersetI1)=>((powersetE1)=>((((((binunionIL)=>(((binunionIR)=>((binunionEcases)=>(((binunionLsub)=>((((binintersectSubset5)=>(((binintersectLsub)=>((binintersectSubset2)=>((binintersectSubset3)=>(((disjointsetsI1)=>(((binintersectSubset4)=>((binintersectSubset1)=>((bs114d)=>((setminusI)=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))))))<=(binintersectRsub)))<=(binintersectER)))))<=(binintersectEL)))<=(binintersectI))<=(binunionRsub)))<=(binunionE))))<=(upairset2IR)))<=(sepSubset))<=(sepInPowerset))<=(powersetsubset))<=(inPowerset))))))<=(subset2powerset))<=(setadjoinSub2)))<=(subsetTrans)))))<=(notsubsetI)))<=(subsetE))<=(emptysetsubset)))<=(eqimpsubset1)))))<=(descr__Cong))<=(exuEu))<=(omega__Cong)))<=(powerset__Cong))<=(setadjoin__Cong)))))<=(in__Cong))))<=(exuI3)))<=(notdallE)))<=(prop2set2propI))<=(prop2setI)))<=(quantDeMorgan3))))))<=(upairsetIR))<=(upairsetIL))<=(upairsetE))<=(singletonsswitch)))<=(notinsingleton))<=(uniqinunit))<=(nonemptyImpWitness)))<=(subPowSU))<=(setunionE))))<=(emptyInPowerset)))))))<=(setadjoinIR)))<=(setadjoinIL))))<=(nonemptyE1)))<=(noeltsimpempty))<=(emptyI))))<=(notinemptyset))<=(emptysetimpfalse))<=(emptysetE))))<=(dsetconstrER))))<=(descrp)))<=(foundationAx))))<=(omegaSAx)))<=(setunionAx))<=(powersetAx)))<=(emptysetAx))<=(setextAx)), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', setminusEL)).
0.17/0.50	thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', setextAx)).
0.17/0.50	thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', subPowSU)).
0.17/0.50	thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', setunionE)).
0.17/0.50	thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', emptyInPowerset)).
0.17/0.50	thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', setadjoinIR)).
0.17/0.50	thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', setadjoinIL)).
0.17/0.50	thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', noeltsimpempty)).
0.17/0.50	thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', emptyI)).
0.17/0.50	thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', emptyset__Cong)).
0.17/0.50	thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', notinemptyset)).
0.17/0.50	thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', emptysetimpfalse)).
0.17/0.50	thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', setunion__Cong)).
0.17/0.50	thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', emptysetE)).
0.17/0.50	thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', foundationAx)).
0.17/0.50	thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', quantDeMorgan4)).
0.17/0.50	thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', omegaSAx)).
0.17/0.50	thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', setunionAx)).
0.17/0.50	thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', subsetI1)).
0.17/0.50	thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', powersetAx)).
0.17/0.50	thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', emptysetAx)).
0.17/0.50	thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', eqimpsubset2)).
0.17/0.50	thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', notdexE)).
0.17/0.50	thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', subsetI2)).
0.17/0.50	thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', subsetE2)).
0.17/0.50	thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', notequalI1)).
0.17/0.50	thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', notequalI2)).
0.17/0.50	thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', subsetRefl)).
0.17/0.50	thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', setadjoinSub)).
0.17/0.50	thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', setextsub)).
0.17/0.50	thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', subsetemptysetimpeq)).
0.17/0.50	thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', powersetI1)).
0.17/0.50	thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', powersetE1)).
0.17/0.50	thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', binunionIL)).
0.17/0.50	thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', binunionIR)).
0.17/0.50	thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', binunionEcases)).
0.17/0.50	thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', binunionLsub)).
0.17/0.50	thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', binintersectSubset5)).
0.17/0.50	thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', binintersectLsub)).
0.17/0.50	thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', binintersectSubset2)).
0.17/0.50	thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', binintersectSubset3)).
0.17/0.50	thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', disjointsetsI1)).
0.17/0.50	thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', binintersectSubset4)).
0.17/0.50	thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', binintersectSubset1)).
0.17/0.50	thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', bs114d)).
0.17/0.50	thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', binintersectRsub)).
0.17/0.50	thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', binintersectER)).
0.17/0.50	thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', binintersectEL)).
0.17/0.50	thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', binintersectI)).
0.17/0.50	thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', binunionRsub)).
0.17/0.50	thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', binunionE)).
0.17/0.50	thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', upairset2IR)).
0.17/0.50	thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', inCongP)).
0.17/0.50	thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', powersetsubset)).
0.17/0.50	thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', inPowerset)).
0.17/0.50	thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', subset2powerset)).
0.17/0.50	thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', setadjoinSub2)).
0.17/0.50	thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', subsetTrans)).
0.17/0.50	thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', notsubsetI)).
0.17/0.50	thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', subsetE)).
0.17/0.50	thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', emptysetsubset)).
0.17/0.50	thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', eqimpsubset1)).
0.17/0.50	thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', omega__Cong)).
0.17/0.50	thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', powerset__Cong)).
0.17/0.50	thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', setadjoin__Cong)).
0.17/0.50	thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', in__Cong)).
0.17/0.50	thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', notdallE)).
0.17/0.50	thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', prop2setI)).
0.17/0.50	thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', quantDeMorgan3)).
0.17/0.50	thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', upairsetIR)).
0.17/0.50	thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', upairsetIL)).
0.17/0.50	thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', upairsetE)).
0.17/0.50	thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', singletonsswitch)).
0.17/0.50	thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', notinsingleton)).
0.17/0.50	thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', uniqinunit)).
0.17/0.50	thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', quantDeMorgan2)).
0.17/0.50	thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', quantDeMorgan1)).
0.17/0.50	thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', vacuousDall)).
0.17/0.50	thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', eqinunit)).
0.17/0.50	thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', setunionI)).
0.17/0.50	thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', powersetE)).
0.17/0.50	thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', emptyinPowerset)).
0.17/0.50	thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', powersetI)).
0.17/0.50	thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', setadjoinOr)).
0.17/0.50	thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', setadjoinE)).
0.17/0.50	thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', emptyinunitempty)).
0.17/0.50	thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', setext)).
0.17/0.50	thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', prop2setE)).
0.17/0.50	thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$i]:(?[X5:$i]:((((![X7:$i]:(((in @ X7 @ X5)=>![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))))&![X2:$i, X3:$i]:((((in @ X2 @ X4)&(in @ X3 @ X4))=>(![X7:$i]:(((in @ X7 @ X5)=>((in @ X2 @ X7)<=>(in @ X3 @ X7))))=>((X2)=(X3))))))&![X7:$i, X8:$i]:((((in @ X7 @ X5)&(in @ X8 @ X5))=>(![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X8)))|![X2:$i]:(((in @ X2 @ X8)=>(in @ X2 @ X7)))))))&![X7:$i]:(((![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))&?[X2:$i]:((in @ X2 @ X7)))=>?[X8:$i, X2:$i]:(((((in @ X8 @ X5)&(in @ X2 @ X7))&~(?[X3:$i]:(((in @ X3 @ X8)&(in @ X3 @ X7)))))&![X9:$i]:(((in @ X9 @ X5)=>(![X3:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', wellorderingAx)).
0.17/0.50	thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', omegaIndAx)).
0.17/0.50	thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', omega0Ax)).
0.17/0.50	thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.FmecSk1gAr/Vampire---4.8_21356', setadjoinAx)).
0.17/0.50	thf(c_0_121, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])).
0.17/0.50	thf(c_0_122, plain, ((exu)=(^[Z0/* 5 */:$i > $o]:(?[X2:$i]:(((Z0 @ X2)&![X3:$i]:(((Z0 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exu])).
0.17/0.50	thf(c_0_123, plain, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))<=>(exu @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
0.17/0.50	thf(c_0_124, plain, ((nonempty)=(^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
0.17/0.50	thf(c_0_125, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
0.17/0.50	thf(c_0_126, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])).
0.17/0.50	thf(c_0_127, plain, ((setminus)=(^[Z0/* 19 */:$i, Z1:$i]:(dsetconstr @ Z0 @ (^[Z2/* 7 */:$i]:(~((in @ Z2 @ Z1))))))), inference(fof_simplification,[status(thm)],[setminus])).
0.17/0.50	thf(c_0_128, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
0.17/0.50	thf(c_0_129, plain, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>((exu @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
0.17/0.50	thf(c_0_130, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
0.17/0.50	thf(c_0_131, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
0.17/0.50	thf(c_0_132, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
0.17/0.50	thf(c_0_133, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
0.17/0.50	thf(c_0_134, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
0.17/0.50	thf(c_0_135, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
0.17/0.50	thf(c_0_136, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0/* 3 */:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
0.17/0.50	thf(c_0_137, plain, ((exuE3u)=(![X1:$i > $o]:(((?[X352:$i]:((((X1 @ X352))&![X353:$i]:((((X1 @ X353))=>((X352)=(X353)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_121, c_0_122])).
0.17/0.50	thf(c_0_138, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X354:$i]:((((X1 @ X354))&![X355:$i]:((((X1 @ X355))=>((X354)=(X355)))))))<=>(?[X356:$i]:((((X17 @ X356))&![X357:$i]:((((X17 @ X357))=>((X356)=(X357)))))))))))), inference(apply_def,[status(thm)],[c_0_123, c_0_122])).
0.17/0.50	thf(c_0_139, axiom, ((nonemptyE1)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:((in @ X2 @ X4)))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_124])).
0.17/0.50	thf(c_0_140, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
0.17/0.50	thf(c_0_141, plain, ((descrp)=(![X1:$i > $o]:(((?[X338:$i]:((((X1 @ X338))&![X339:$i]:((((X1 @ X339))=>((X338)=(X339)))))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(apply_def,[status(thm)],[c_0_125, c_0_122])).
0.17/0.50	thf(c_0_142, plain, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
0.17/0.50	thf(c_0_143, plain, ((exuI1)=(![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(?[X346:$i]:((((X1 @ X346))&![X347:$i]:((((X1 @ X347))=>((X346)=(X347))))))))))), inference(apply_def,[status(thm)],[c_0_126, c_0_122])).
0.17/0.50	thf(c_0_144, axiom, ((setminusI)=(![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 7 */:$i]:(~((in @ Z0 @ X5))))))))))), inference(apply_def,[status(thm)],[setminusI, c_0_127])).
0.17/0.50	thf(c_0_145, plain, ((exuI2)=(![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(?[X350:$i]:((((X1 @ X350))&![X351:$i]:((((X1 @ X351))=>((X350)=(X351))))))))))), inference(apply_def,[status(thm)],[c_0_128, c_0_122])).
0.17/0.50	thf(c_0_146, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
0.17/0.50	thf(c_0_147, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
0.17/0.50	thf(c_0_148, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X360:$i]:((((X1 @ X360))&![X361:$i]:((((X1 @ X361))=>((X360)=(X361)))))))=>((?[X362:$i]:((((X17 @ X362))&![X363:$i]:((((X17 @ X363))=>((X362)=(X363)))))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))))))))), inference(apply_def,[status(thm)],[c_0_129, c_0_122])).
0.17/0.50	thf(c_0_149, plain, ((exuEu)=(![X1:$i > $o]:(((?[X358:$i]:((((X1 @ X358))&![X359:$i]:((((X1 @ X359))=>((X358)=(X359)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_130, c_0_122])).
0.17/0.50	thf(c_0_150, plain, ((exuI3)=(![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(?[X348:$i]:((((X1 @ X348))&![X349:$i]:((((X1 @ X349))=>((X348)=(X349)))))))))))), inference(apply_def,[status(thm)],[c_0_131, c_0_122])).
0.17/0.50	thf(c_0_151, axiom, ((nonemptyImpWitness)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:(((in @ X2 @ X4)&($true))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_124])).
0.17/0.50	thf(c_0_152, plain, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(emptyset))=>~($true))))), inference(fof_simplification,[status(thm)],[emptyE1])).
0.17/0.50	thf(c_0_153, plain, ((exuE2)=(![X1:$i > $o]:(((?[X344:$i]:((((X1 @ X344))&![X345:$i]:((((X1 @ X345))=>((X344)=(X345)))))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2))))))))), inference(apply_def,[status(thm)],[c_0_132, c_0_122])).
0.17/0.50	thf(c_0_154, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
0.17/0.50	thf(c_0_155, axiom, ((nonemptyI1)=(![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(((X4)!=(emptyset))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_124])).
0.17/0.50	thf(c_0_156, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))!=(emptyset)))))))), inference(apply_def,[status(thm)],[c_0_133, c_0_124])).
0.17/0.50	thf(c_0_157, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
0.17/0.50	thf(c_0_158, plain, ((exuE3e)=(![X1:$i > $o]:(((?[X342:$i]:((((X1 @ X342))&![X343:$i]:((((X1 @ X343))=>((X342)=(X343)))))))=>?[X2:$i]:((X1 @ X2)))))), inference(apply_def,[status(thm)],[c_0_134, c_0_122])).
0.17/0.50	thf(c_0_159, plain, ((exuE1)=(![X1:$i > $o]:(((?[X340:$i]:((((X1 @ X340))&![X341:$i]:((((X1 @ X341))=>((X340)=(X341)))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))), inference(apply_def,[status(thm)],[c_0_135, c_0_122])).
0.17/0.50	thf(c_0_160, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
0.17/0.50	thf(c_0_161, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
0.17/0.50	thf(c_0_162, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(?[X336:$i]:((((X6 @ X2 @ X336))&![X337:$i]:((((X6 @ X2 @ X337))=>((X336)=(X337)))))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2)))))))))), inference(apply_def,[status(thm)],[c_0_136, c_0_122])).
0.17/0.50	thf(c_0_163, plain, ((epred1_0)<=>![X378:$i]:(?[X379:$i]:((((![X380:$i]:(((in @ X380 @ X379)=>![X381:$i]:(((in @ X381 @ X380)=>(in @ X381 @ X378)))))&![X382:$i, X383:$i]:((((in @ X382 @ X378)&(in @ X383 @ X378))=>(![X384:$i]:(((in @ X384 @ X379)=>((in @ X382 @ X384)<=>(in @ X383 @ X384))))=>((X382)=(X383))))))&![X385:$i, X386:$i]:((((in @ X385 @ X379)&(in @ X386 @ X379))=>(![X387:$i]:(((in @ X387 @ X385)=>(in @ X387 @ X386)))|![X388:$i]:(((in @ X388 @ X386)=>(in @ X388 @ X385)))))))&![X389:$i]:(((![X390:$i]:(((in @ X390 @ X389)=>(in @ X390 @ X378)))&?[X391:$i]:((in @ X391 @ X389)))=>?[X392:$i, X393:$i]:(((((in @ X392 @ X379)&(in @ X393 @ X389))&~(?[X394:$i]:(((in @ X394 @ X392)&(in @ X394 @ X389)))))&![X395:$i]:(((in @ X395 @ X379)=>(![X396:$i]:(((in @ X396 @ X395)=>(in @ X396 @ X392)))|(in @ X393 @ X395)))))))))))), introduced(definition)).
0.17/0.50	thf(c_0_164, negated_conjecture, ~((![X702:$i, X703:$i]:((![X704:$i]:(((in @ X704 @ X702)<=>(in @ X704 @ X703)))=>((X702)=(X703))))=>(![X701:$i]:(~(in @ X701 @ emptyset))=>(![X364:$i, X365:$i, X366:$i]:(((in @ X366 @ (setadjoin @ X364 @ X365))<=>(((X366)=(X364))|(in @ X366 @ X365))))=>(![X698:$i, X699:$i]:(((in @ X699 @ (powerset @ X698))<=>![X700:$i]:(((in @ X700 @ X699)=>(in @ X700 @ X698)))))=>(![X695:$i, X696:$i]:(((in @ X696 @ (setunion @ X695))<=>?[X697:$i]:(((in @ X696 @ X697)&(in @ X697 @ X695)))))=>((in @ emptyset @ omega)=>(![X694:$i]:(((in @ X694 @ omega)=>(in @ (setadjoin @ X694 @ X694) @ omega)))=>(![X367:$i]:((((in @ emptyset @ X367)&![X368:$i]:((((in @ X368 @ omega)&(in @ X368 @ X367))=>(in @ (setadjoin @ X368 @ X368) @ X367))))=>![X369:$i]:(((in @ X369 @ omega)=>(in @ X369 @ X367)))))=>(![X370:$i > $i > $o, X371:$i]:((![X372:$i]:(((in @ X372 @ X371)=>?[X373:$i]:(((X370 @ X372 @ X373)&![X374:$i]:(((X370 @ X372 @ X374)=>((X373)=(X374))))))))=>?[X375:$i]:(![X376:$i]:(((in @ X376 @ X375)<=>?[X377:$i]:(((in @ X377 @ X371)&(X370 @ X377 @ X376))))))))=>(![X690:$i]:((?[X691:$i]:((in @ X691 @ X690))=>?[X692:$i]:(((in @ X692 @ X690)&~(?[X693:$i]:(((in @ X693 @ X692)&(in @ X693 @ X690))))))))=>((epred1_0)=>(![X687:$i > $o]:((?[X688:$i]:(((X687 @ X688)&![X689:$i]:(((X687 @ X689)=>((X688)=(X689))))))=>(X687 @ (descr @ (^[Z0/* 3 */:$i]:((X687 @ Z0)))))))=>(![X397:$i, X398:$i > $o, X399:$i]:(((in @ X399 @ X397)=>((X398 @ X399)=>(in @ X399 @ (dsetconstr @ X397 @ (^[Z0/* 3 */:$i]:((X398 @ Z0))))))))=>(![X400:$i, X401:$i > $o, X402:$i]:(((in @ X402 @ (dsetconstr @ X400 @ (^[Z0/* 3 */:$i]:((X401 @ Z0)))))=>(in @ X402 @ X400)))=>(![X684:$i, X685:$i > $o, X686:$i]:(((in @ X686 @ (dsetconstr @ X684 @ (^[Z0/* 3 */:$i]:((X685 @ Z0)))))=>(X685 @ X686)))=>(![X403:$i > $o]:((?[X404:$i]:(((X403 @ X404)&![X405:$i]:(((X403 @ X405)=>((X404)=(X405))))))=>?[X406:$i]:(((X403 @ X406)&![X407:$i]:(((X403 @ X407)=>((X406)=(X407))))))))=>(![X408:$o, X409:$i]:(((in @ X409 @ (prop2set @ ((X408))))=>(X408)))=>(![X682:$i]:(((in @ X682 @ emptyset)=>![X683:$o]:((X683))))=>(![X681:$i]:(~(in @ X681 @ emptyset))=>(![X680:$i]:(~(in @ X680 @ emptyset))=>(![X410:$i > $o]:((?[X411:$i]:(((X410 @ X411)&![X412:$i]:(((X410 @ X412)=>((X411)=(X412))))))=>?[X413:$i]:((X410 @ X413))))=>(![X414:$i, X415:$i]:((![X416:$i]:(((in @ X416 @ X414)=>(in @ X416 @ X415)))=>(![X417:$i]:(((in @ X417 @ X415)=>(in @ X417 @ X414)))=>((X414)=(X415)))))=>(![X678:$i]:((![X679:$i]:(~(in @ X679 @ X678))=>((X678)=(emptyset))))=>(![X676:$i]:((![X677:$i]:(~(in @ X677 @ X676))=>((X676)=(emptyset))))=>(![X418:$i, X419:$i > $o, X420:$i]:(((in @ X420 @ X418)=>((in @ X420 @ (dsetconstr @ X418 @ (^[Z0/* 3 */:$i]:((X419 @ Z0)))))<=>(X419 @ X420))))=>(![X674:$i]:((((X674)!=(emptyset))=>?[X675:$i]:((in @ X675 @ X674))))=>(![X421:$i, X422:$i > $o, X423:$i]:(((in @ X423 @ X421)=>((X422 @ X423)=>((dsetconstr @ X421 @ (^[Z0/* 3 */:$i]:((X422 @ Z0))))!=(emptyset)))))=>(![X424:$i]:((?[X425:$i]:((in @ X425 @ X424))=>((X424)!=(emptyset))))=>(![X672:$i, X673:$i]:((in @ X672 @ (setadjoin @ X672 @ X673)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X669:$i, X670:$i, X671:$i]:(((in @ X671 @ X670)=>(in @ X671 @ (setadjoin @ X669 @ X670))))=>(![X426:$i, X427:$i, X428:$i]:(((in @ X428 @ (setadjoin @ X426 @ X427))=>![X429:$o]:(((((X428)=(X426))=>(X429))=>(((in @ X428 @ X427)=>(X429))=>(X429))))))=>(![X430:$i, X431:$i, X432:$i]:(((in @ X432 @ (setadjoin @ X430 @ X431))=>(((X432)=(X430))|(in @ X432 @ X431))))=>(![X433:$i]:(((dsetconstr @ X433 @ (^[Z0/* 3 */:$i]:(($true))))=(X433)))=>(![X434:$i, X435:$i]:((![X436:$i]:(((in @ X436 @ X435)=>(in @ X436 @ X434)))=>(in @ X435 @ (powerset @ X434))))=>(![X437:$i]:((in @ emptyset @ (powerset @ X437)))=>(![X668:$i]:((in @ emptyset @ (powerset @ X668)))=>(![X438:$i, X439:$i, X440:$i]:(((in @ X439 @ (powerset @ X438))=>((in @ X440 @ X439)=>(in @ X440 @ X438))))=>(![X441:$i, X442:$i, X443:$i]:(((in @ X442 @ X443)=>((in @ X443 @ X441)=>(in @ X442 @ (setunion @ X441)))))=>(![X664:$i, X665:$i]:(((in @ X665 @ (setunion @ X664))=>![X666:$o]:((![X667:$i]:(((in @ X665 @ X667)=>((in @ X667 @ X664)=>(X666))))=>(X666)))))=>(![X662:$i, X663:$i]:(((in @ X663 @ X662)=>(in @ X663 @ (powerset @ (setunion @ X662)))))=>(![X444:$i > $o]:((?[X445:$i]:(((X444 @ X445)&![X446:$i]:(((X444 @ X446)=>((X445)=(X446))))))=>?[X447:$i]:(![X448:$i]:(((X444 @ X448)<=>((X448)=(X447)))))))=>(![X660:$i]:((((X660)!=(emptyset))=>?[X661:$i]:((in @ X661 @ X660))))=>(![X658:$i, X659:$i]:(((in @ X658 @ (setadjoin @ X659 @ emptyset))=>((X658)=(X659))))=>(![X656:$i, X657:$i]:((((X656)!=(X657))=>~(in @ X657 @ (setadjoin @ X656 @ emptyset))))=>(![X449:$i, X450:$i]:((((X449)=(X450))=>(in @ X449 @ (setadjoin @ X450 @ emptyset))))=>(![X654:$i, X655:$i]:(((in @ X654 @ (setadjoin @ X655 @ emptyset))=>(in @ X655 @ (setadjoin @ X654 @ emptyset))))=>(![X651:$i, X652:$i, X653:$i]:(((in @ X653 @ (setadjoin @ X651 @ (setadjoin @ X652 @ emptyset)))=>(((X653)=(X651))|((X653)=(X652)))))=>(![X649:$i, X650:$i]:((in @ X649 @ (setadjoin @ X649 @ (setadjoin @ X650 @ emptyset))))=>(![X647:$i, X648:$i]:((in @ X648 @ (setadjoin @ X647 @ (setadjoin @ X648 @ emptyset))))=>(![X451:$i, X452:$i > $o]:((?[X453:$i]:(((in @ X453 @ X451)&(X452 @ X453)))=>((dsetconstr @ X451 @ (^[Z0/* 3 */:$i]:((X452 @ Z0))))!=(emptyset))))=>(![X454:$i > $o, X455:$i]:(((in @ X455 @ emptyset)=>(X454 @ X455)))=>(![X456:$i, X457:$i > $o]:((~(![X458:$i]:(((in @ X458 @ X456)=>(X457 @ X458))))=>?[X459:$i]:(((in @ X459 @ X456)&~(X457 @ X459)))))=>(![X460:$i, X461:$i > $o]:((![X462:$i]:(((in @ X462 @ X460)=>~(X461 @ X462)))=>~(?[X463:$i]:(((in @ X463 @ X460)&(X461 @ X463))))))=>(![X643:$i, X644:$i > $o]:((~(?[X645:$i]:(((in @ X645 @ X643)&(X644 @ X645))))=>![X646:$i]:(((in @ X646 @ X643)=>~(X644 @ X646)))))=>(![X464:$i, X465:$i > $o]:((?[X466:$i]:(((in @ X466 @ X464)&~(X465 @ X466)))=>~(![X467:$i]:(((in @ X467 @ X464)=>(X465 @ X467))))))=>(![X642:$o]:(((X642)=>(in @ emptyset @ (prop2set @ ((X642))))))=>((prop2set2propI)=>(![X468:$i, X469:$i > $o]:((~(?[X470:$i]:(((in @ X470 @ X468)&(X469 @ X470))))=>![X471:$i]:(((in @ X471 @ X468)=>~(X469 @ X471)))))=>(![X638:$i, X639:$i > $o]:((~(![X640:$i]:(((in @ X640 @ X638)=>(X639 @ X640))))=>?[X641:$i]:(((in @ X641 @ X638)&~(X639 @ X641)))))=>(![X472:$i > $o]:((?[X473:$i]:(((X472 @ X473)&![X474:$i]:(((X472 @ X474)=>((X473)=(X474))))))=>?[X475:$i]:(((X472 @ X475)&![X476:$i]:(((X472 @ X476)=>((X475)=(X476))))))))=>(![X632:$i > $o]:((?[X633:$i]:((X632 @ X633))=>(![X634:$i, X635:$i]:(((X632 @ X634)=>((X632 @ X635)=>((X634)=(X635)))))=>?[X636:$i]:(((X632 @ X636)&![X637:$i]:(((X632 @ X637)=>((X636)=(X637)))))))))=>(![X477:$i > $o]:((?[X478:$i]:(![X479:$i]:(((X477 @ X479)<=>((X479)=(X478)))))=>?[X480:$i]:(((X477 @ X480)&![X481:$i]:(((X477 @ X481)=>((X480)=(X481))))))))=>(![X482:$i, X483:$i]:((((X482)=(X483))=>![X484:$i, X485:$i]:((((X484)=(X485))=>((in @ X484 @ X482)=>(in @ X485 @ X483))))))=>(![X628:$i, X629:$i]:((((X628)=(X629))=>![X630:$i, X631:$i]:((((X630)=(X631))=>((in @ X630 @ X628)<=>(in @ X631 @ X629))))))=>(![X486:$i > $o]:((?[X487:$i]:(((X486 @ X487)&![X488:$i]:(((X486 @ X488)=>((X487)=(X488))))))=>![X489:$i, X490:$i]:(((X486 @ X489)=>((X486 @ X490)=>((X489)=(X490)))))))=>(![X491:$i > $o, X492:$i > $o]:((![X493:$i, X494:$i]:((((X493)=(X494))=>((X491 @ X493)<=>(X492 @ X494))))=>(?[X495:$i]:(((X491 @ X495)&![X496:$i]:(((X491 @ X496)=>((X495)=(X496))))))<=>?[X497:$i]:(((X492 @ X497)&![X498:$i]:(((X492 @ X498)=>((X497)=(X498)))))))))=>(((emptyset)=(emptyset))=>(![X624:$i, X625:$i]:((((X624)=(X625))=>![X626:$i, X627:$i]:((((X626)=(X627))=>((setadjoin @ X624 @ X626)=(setadjoin @ X625 @ X627))))))=>(![X622:$i, X623:$i]:((((X622)=(X623))=>((powerset @ X622)=(powerset @ X623))))=>(![X499:$i, X500:$i]:((((X499)=(X500))=>((setunion @ X499)=(setunion @ X500))))=>(((omega)=(omega))=>(![X617:$i > $o]:((?[X618:$i]:(((X617 @ X618)&![X619:$i]:(((X617 @ X619)=>((X618)=(X619))))))=>![X620:$i, X621:$i]:(((X617 @ X620)=>((X617 @ X621)=>((X620)=(X621)))))))=>(![X609:$i > $o, X610:$i > $o]:((![X611:$i, X612:$i]:((((X611)=(X612))=>((X609 @ X611)<=>(X610 @ X612))))=>(?[X613:$i]:(((X609 @ X613)&![X614:$i]:(((X609 @ X614)=>((X613)=(X614))))))=>(?[X615:$i]:(((X610 @ X615)&![X616:$i]:(((X610 @ X616)=>((X615)=(X616))))))=>((descr @ (^[Z0/* 3 */:$i]:((X609 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X610 @ Z0)))))))))=>(![X501:$i, X502:$i]:((((X501)=(X502))=>![X503:$i > $o, X504:$i > $o]:((![X505:$i]:(((in @ X505 @ X501)=>![X506:$i]:(((in @ X506 @ X502)=>(((X505)=(X506))=>((X503 @ X505)<=>(X504 @ X506)))))))=>((dsetconstr @ X501 @ (^[Z0/* 3 */:$i]:((X503 @ Z0))))=(dsetconstr @ X502 @ (^[Z0/* 3 */:$i]:((X504 @ Z0)))))))))=>(![X507:$i, X508:$i]:((![X509:$i]:(((in @ X509 @ X507)=>(in @ X509 @ X508)))=>(subset @ X507 @ X508)))=>(![X510:$i, X511:$i]:((((X510)=(X511))=>(subset @ X511 @ X510)))=>(![X607:$i, X608:$i]:((((X607)=(X608))=>(subset @ X607 @ X608)))=>(![X512:$i, X513:$i]:((![X514:$i]:(((in @ X514 @ X512)=>(in @ X514 @ X513)))=>(subset @ X512 @ X513)))=>(![X606:$i]:((subset @ emptyset @ X606))=>(![X603:$i, X604:$i, X605:$i]:(((subset @ X603 @ X604)=>((in @ X605 @ X603)=>(in @ X605 @ X604))))=>(![X515:$i, X516:$i, X517:$i]:(((subset @ X515 @ X516)=>(~(in @ X517 @ X516)=>~(in @ X517 @ X515))))=>(![X600:$i, X601:$i, X602:$i]:(((in @ X602 @ X600)=>(~(in @ X602 @ X601)=>~(subset @ X600 @ X601))))=>(![X518:$i, X519:$i]:((~(subset @ X518 @ X519)=>((X518)!=(X519))))=>(![X520:$i, X521:$i, X522:$i]:(((in @ X522 @ X520)=>(~(in @ X522 @ X521)=>((X520)!=(X521)))))=>(![X523:$i]:((subset @ X523 @ X523))=>(![X597:$i, X598:$i, X599:$i]:(((subset @ X597 @ X598)=>((subset @ X598 @ X599)=>(subset @ X597 @ X599))))=>(![X524:$i, X525:$i]:((subset @ X525 @ (setadjoin @ X524 @ X525)))=>(![X594:$i, X595:$i, X596:$i]:(((subset @ X594 @ X596)=>(subset @ X594 @ (setadjoin @ X595 @ X596))))=>(![X592:$i, X593:$i]:(((subset @ X592 @ X593)=>(in @ X592 @ (powerset @ X593))))=>(![X526:$i, X527:$i]:(((subset @ X526 @ X527)=>((subset @ X527 @ X526)=>((X526)=(X527)))))=>(![X528:$i]:(((subset @ X528 @ emptyset)=>((X528)=(emptyset))))=>(![X529:$i, X530:$i]:(((subset @ X530 @ X529)=>(in @ X530 @ (powerset @ X529))))=>(![X531:$i, X532:$i]:(((in @ X532 @ (powerset @ X531))=>(subset @ X532 @ X531)))=>(![X591:$i]:((in @ X591 @ (powerset @ X591)))=>(![X589:$i, X590:$i]:(((subset @ X589 @ X590)=>(subset @ (powerset @ X589) @ (powerset @ X590))))=>(![X587:$i, X588:$i > $o]:((in @ (dsetconstr @ X587 @ (^[Z0/* 3 */:$i]:((X588 @ Z0)))) @ (powerset @ X587)))=>(![X585:$i, X586:$i > $o]:((subset @ (dsetconstr @ X585 @ (^[Z0/* 3 */:$i]:((X586 @ Z0)))) @ X585))=>(![X533:$i, X534:$i, X535:$i]:(((in @ X535 @ X533)=>(in @ X535 @ (binunion @ X533 @ X534))))=>(![X583:$i, X584:$i]:((in @ X584 @ (setadjoin @ X583 @ (setadjoin @ X584 @ emptyset))))=>(![X536:$i, X537:$i, X538:$i]:(((in @ X538 @ X537)=>(in @ X538 @ (binunion @ X536 @ X537))))=>(![X539:$i, X540:$i, X541:$i, X542:$o]:(((in @ X541 @ (binunion @ X539 @ X540))=>(((in @ X541 @ X539)=>(X542))=>(((in @ X541 @ X540)=>(X542))=>(X542)))))=>(![X580:$i, X581:$i, X582:$i]:(((in @ X582 @ (binunion @ X580 @ X581))=>((in @ X582 @ X580)|(in @ X582 @ X581))))=>(![X543:$i, X544:$i]:((subset @ X543 @ (binunion @ X543 @ X544)))=>(![X578:$i, X579:$i]:((subset @ X579 @ (binunion @ X578 @ X579)))=>(![X575:$i, X576:$i, X577:$i]:(((in @ X577 @ X575)=>((in @ X577 @ X576)=>(in @ X577 @ (binintersect @ X575 @ X576)))))=>(![X545:$i, X546:$i, X547:$i]:(((subset @ X547 @ X545)=>((subset @ X547 @ X546)=>(subset @ X547 @ (binintersect @ X545 @ X546)))))=>(![X572:$i, X573:$i, X574:$i]:(((in @ X574 @ (binintersect @ X572 @ X573))=>(in @ X574 @ X572)))=>(![X548:$i, X549:$i]:((subset @ (binintersect @ X548 @ X549) @ X548))=>(![X550:$i, X551:$i]:(((subset @ X550 @ X551)=>((binintersect @ X550 @ X551)=(X550))))=>(![X552:$i, X553:$i]:((((binintersect @ X552 @ X553)=(X553))=>(subset @ X553 @ X552)))=>(![X569:$i, X570:$i, X571:$i]:(((in @ X571 @ (binintersect @ X569 @ X570))=>(in @ X571 @ X570)))=>(![X554:$i, X555:$i]:((~(?[X556:$i]:(((in @ X556 @ X554)&(in @ X556 @ X555))))=>((binintersect @ X554 @ X555)=(emptyset))))=>(![X567:$i, X568:$i]:((subset @ (binintersect @ X567 @ X568) @ X568))=>(![X557:$i, X558:$i]:(((subset @ X558 @ X557)=>((binintersect @ X557 @ X558)=(X558))))=>(![X559:$i, X560:$i]:((((binintersect @ X559 @ X560)=(X559))=>(subset @ X559 @ X560)))=>(![X561:$i, X562:$i, X563:$i]:(((binintersect @ X561 @ (binunion @ X562 @ X563))=(binunion @ (binintersect @ X561 @ X562) @ (binintersect @ X561 @ X563))))=>(![X564:$i, X565:$i, X566:$i]:(((in @ X566 @ X564)=>(~(in @ X566 @ X565)=>(in @ X566 @ (dsetconstr @ X564 @ (^[Z0/* 7 */:$i]:(~((in @ Z0 @ X565)))))))))=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 7 */:$i]:(~((in @ Z0 @ X5))))))=>(in @ X2 @ X4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[setminusEL]), setextAx]), subPowSU]), setunionE]), emptyInPowerset]), c_0_137]), setadjoinIR]), setadjoinIL]), c_0_138]), c_0_139]), noeltsimpempty]), emptyI]), emptyset__Cong]), notinemptyset]), emptysetimpfalse]), setunion__Cong]), emptysetE]), c_0_140]), c_0_141]), c_0_142]), foundationAx]), quantDeMorgan4]), omegaSAx]), setunionAx]), subsetI1]), powersetAx]), emptysetAx]), eqimpsubset2]), notdexE]), subsetI2]), subsetE2]), notequalI1]), notequalI2]), subsetRefl]), setadjoinSub]), setextsub]), subsetemptysetimpeq]), c_0_143]), powersetI1]), powersetE1]), binunionIL]), binunionIR]), binunionEcases]), binunionLsub]), binintersectSubset5]), binintersectLsub]), binintersectSubset2]), binintersectSubset3]), disjointsetsI1]), binintersectSubset4]), binintersectSubset1]), bs114d]), c_0_144]), c_0_127]), binintersectRsub]), c_0_145]), binintersectER]), binintersectEL]), binintersectI]), binunionRsub]), binunionE]), upairset2IR]), c_0_146]), c_0_147]), inCongP]), powersetsubset]), inPowerset]), subset2powerset]), setadjoinSub2]), subsetTrans]), notsubsetI]), subsetE]), emptysetsubset]), eqimpsubset1]), c_0_148]), c_0_149]), omega__Cong]), powerset__Cong]), setadjoin__Cong]), in__Cong]), c_0_150]), notdallE]), prop2setI]), quantDeMorgan3]), upairsetIR]), upairsetIL]), upairsetE]), singletonsswitch]), notinsingleton]), uniqinunit]), c_0_151]), quantDeMorgan2]), quantDeMorgan1]), vacuousDall]), c_0_152]), eqinunit]), c_0_153]), setunionI]), powersetE]), emptyinPowerset]), powersetI]), c_0_154]), setadjoinOr]), setadjoinE]), emptyinunitempty]), c_0_155]), c_0_156]), c_0_157]), setext]), c_0_158]), prop2setE]), c_0_159]), c_0_160]), c_0_161]), wellorderingAx]), c_0_162]), omegaIndAx]), omega0Ax]), setadjoinAx])]), c_0_163])).
0.17/0.50	thf(c_0_165, negated_conjecture, ![X705:$i, X706:$i, X708:$i, X709:$i, X710:$i, X711:$i, X712:$i, X713:$i, X714:$i, X715:$i, X716:$i, X718:$i, X719:$i, X721:$i, X722:$i, X723:$i, X724:$i, X725:$i, X727:$i, X728:$i > $i > $o, X729:$i, X731:$i, X734:$i, X736:$i, X737:$i, X738:$i, X739:$i, X741:$i, X742:$i > $o, X743:$i, X745:$i, X746:$i > $o, X747:$i, X748:$i, X749:$i > $o, X750:$i, X751:$i, X752:$i > $o, X753:$i, X754:$i > $o, X755:$i, X758:$i, X759:$o, X760:$i, X761:$i, X762:$o, X763:$i, X764:$i, X765:$i > $o, X766:$i, X769:$i, X770:$i, X773:$i, X775:$i, X777:$i, X778:$i > $o, X779:$i, X780:$i, X782:$i, X783:$i > $o, X784:$i, X785:$i, X786:$i, X787:$i, X788:$i, X789:$i, X790:$i, X791:$i, X792:$i, X793:$i, X794:$i, X795:$o, X796:$i, X797:$i, X798:$i, X799:$i, X800:$i, X801:$i, X803:$i, X804:$i, X805:$i, X806:$i, X807:$i, X808:$i, X809:$i, X810:$i, X811:$i, X812:$i, X813:$o, X815:$i, X816:$i, X817:$i > $o, X818:$i, X821:$i, X822:$i, X823:$i, X825:$i, X826:$i, X827:$i, X828:$i, X829:$i, X830:$i, X831:$i, X832:$i, X833:$i, X834:$i, X835:$i, X836:$i, X837:$i, X838:$i, X839:$i, X840:$i, X841:$i > $o, X842:$i, X843:$i > $o, X844:$i, X845:$i, X846:$i > $o, X847:$i, X849:$i, X850:$i > $o, X852:$i, X853:$i, X854:$i > $o, X856:$i, X857:$i, X858:$i > $o, X859:$i, X861:$o, X862:$i, X863:$i > $o, X865:$i, X866:$i, X867:$i > $o, X868:$i, X870:$i > $o, X871:$i, X874:$i, X875:$i > $o, X876:$i, X880:$i, X881:$i > $o, X882:$i, X885:$i, X886:$i, X887:$i, X888:$i, X889:$i, X890:$i, X891:$i, X892:$i, X893:$i, X894:$i > $o, X895:$i, X897:$i, X898:$i, X899:$i > $o, X900:$i > $o, X903:$i, X906:$i, X907:$i, X910:$i, X911:$i, X912:$i, X913:$i, X914:$i, X915:$i, X916:$i, X917:$i, X918:$i, X919:$i > $o, X920:$i, X922:$i, X923:$i, X924:$i > $o, X925:$i > $o, X928:$i, X930:$i, X932:$i, X933:$i, X934:$i > $o, X935:$i > $o, X938:$i, X939:$i, X941:$i, X942:$i, X943:$i, X944:$i, X945:$i, X946:$i, X948:$i, X949:$i, X950:$i, X951:$i, X952:$i, X953:$i, X954:$i, X955:$i, X956:$i, X957:$i, X958:$i, X959:$i, X960:$i, X961:$i, X962:$i, X963:$i, X964:$i, X965:$i, X966:$i, X967:$i, X968:$i, X969:$i, X970:$i, X971:$i, X972:$i, X973:$i, X974:$i, X975:$i, X976:$i, X977:$i, X978:$i, X979:$i, X980:$i, X981:$i, X982:$i, X983:$i, X984:$i, X985:$i > $o, X986:$i, X987:$i > $o, X988:$i, X989:$i, X990:$i, X991:$i, X992:$i, X993:$i, X994:$i, X995:$i, X996:$i, X997:$i, X998:$i, X999:$o, X1000:$i, X1001:$i, X1002:$i, X1003:$i, X1004:$i, X1005:$i, X1006:$i, X1007:$i, X1008:$i, X1009:$i, X1010:$i, X1011:$i, X1012:$i, X1013:$i, X1014:$i, X1015:$i, X1016:$i, X1017:$i, X1018:$i, X1019:$i, X1020:$i, X1021:$i, X1022:$i, X1023:$i, X1024:$i, X1025:$i, X1026:$i, X1028:$i, X1029:$i, X1030:$i, X1031:$i, X1032:$i, X1033:$i, X1034:$i, X1035:$i, X1036:$i, X1037:$i, X1038:$i, X1039:$i]:((((~(in @ (esk1_2 @ X705 @ X706) @ X705)|~(in @ (esk1_2 @ X705 @ X706) @ X706)|((X705)=(X706)))&((in @ (esk1_2 @ X705 @ X706) @ X705)|(in @ (esk1_2 @ X705 @ X706) @ X706)|((X705)=(X706))))&(~(in @ X708 @ emptyset)&(((~(in 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X725)|~(in @ emptyset @ X725)|(~(in @ X727 @ omega)|(in @ X727 @ X725))))&((((((in @ (esk8_3 @ X728 @ X729 @ X734) @ X729)|~(in @ X734 @ (esk7_2 @ X728 @ X729))|(in @ (esk5_2 @ X728 @ X729) @ X729))&((X728 @ (esk8_3 @ X728 @ X729 @ X734) @ X734)|~(in @ X734 @ (esk7_2 @ X728 @ X729))|(in @ (esk5_2 @ X728 @ X729) @ X729)))&(~(in @ X737 @ X729)|~(X728 @ X737 @ X736)|(in @ X736 @ (esk7_2 @ X728 @ X729))|(in @ (esk5_2 @ X728 @ X729) @ X729)))&(((((in @ (esk8_3 @ X728 @ X729 @ X734) @ X729)|~(in @ X734 @ (esk7_2 @ X728 @ X729))|((X728 @ (esk5_2 @ X728 @ X729) @ (esk6_3 @ X728 @ X729 @ X731))|~(X728 @ (esk5_2 @ X728 @ X729) @ X731)))&((X728 @ (esk8_3 @ X728 @ X729 @ X734) @ X734)|~(in @ X734 @ (esk7_2 @ X728 @ X729))|((X728 @ (esk5_2 @ X728 @ X729) @ (esk6_3 @ X728 @ X729 @ X731))|~(X728 @ (esk5_2 @ X728 @ X729) @ X731))))&(~(in @ X737 @ X729)|~(X728 @ X737 @ X736)|(in @ X736 @ (esk7_2 @ X728 @ X729))|((X728 @ (esk5_2 @ X728 @ X729) @ (esk6_3 @ X728 @ X729 @ X731))|~(X728 @ (esk5_2 @ X728 @ 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X918)))&(((omega)=(omega))&((((X919 @ (esk45_2 @ X919 @ X920))|~(X919 @ X920)|(~(X919 @ X922)|(~(X919 @ X923)|((X922)=(X923)))))&(((X920)!=(esk45_2 @ X919 @ X920))|~(X919 @ X920)|(~(X919 @ X922)|(~(X919 @ X923)|((X922)=(X923))))))&((((((X925 @ (esk49_3 @ X924 @ X925 @ X930))|~(X925 @ X930)|((descr @ (^[Z0/* 3 */:$i]:((X924 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X925 @ Z0)))))|((X924 @ (esk48_3 @ X924 @ X925 @ X928))|~(X924 @ X928))|((esk46_2 @ X924 @ X925)=(esk47_2 @ X924 @ X925)))&(((X930)!=(esk49_3 @ X924 @ X925 @ X930))|~(X925 @ X930)|((descr @ (^[Z0/* 3 */:$i]:((X924 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X925 @ Z0)))))|((X924 @ (esk48_3 @ X924 @ X925 @ X928))|~(X924 @ X928))|((esk46_2 @ X924 @ X925)=(esk47_2 @ X924 @ X925))))&(((X925 @ (esk49_3 @ X924 @ X925 @ X930))|~(X925 @ X930)|((descr @ (^[Z0/* 3 */:$i]:((X924 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X925 @ Z0)))))|(((X928)!=(esk48_3 @ X924 @ X925 @ X928))|~(X924 @ X928))|((esk46_2 @ X924 @ X925)=(esk47_2 @ X924 @ X925)))&(((X930)!=(esk49_3 @ X924 @ X925 @ X930))|~(X925 @ X930)|((descr @ (^[Z0/* 3 */:$i]:((X924 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X925 @ Z0)))))|(((X928)!=(esk48_3 @ X924 @ X925 @ X928))|~(X924 @ X928))|((esk46_2 @ X924 @ X925)=(esk47_2 @ X924 @ X925)))))&(((((X925 @ (esk49_3 @ X924 @ X925 @ X930))|~(X925 @ X930)|((descr @ (^[Z0/* 3 */:$i]:((X924 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X925 @ Z0)))))|((X924 @ (esk48_3 @ X924 @ X925 @ X928))|~(X924 @ X928))|(~(X924 @ (esk46_2 @ X924 @ X925))|~(X925 @ (esk47_2 @ X924 @ X925))))&(((X930)!=(esk49_3 @ X924 @ X925 @ X930))|~(X925 @ X930)|((descr @ (^[Z0/* 3 */:$i]:((X924 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X925 @ Z0)))))|((X924 @ (esk48_3 @ X924 @ X925 @ X928))|~(X924 @ X928))|(~(X924 @ (esk46_2 @ X924 @ X925))|~(X925 @ (esk47_2 @ X924 @ X925)))))&(((X925 @ (esk49_3 @ X924 @ X925 @ X930))|~(X925 @ X930)|((descr @ (^[Z0/* 3 */:$i]:((X924 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X925 @ Z0)))))|(((X928)!=(esk48_3 @ X924 @ X925 @ X928))|~(X924 @ X928))|(~(X924 @ (esk46_2 @ X924 @ X925))|~(X925 @ (esk47_2 @ X924 @ X925))))&(((X930)!=(esk49_3 @ X924 @ X925 @ X930))|~(X925 @ X930)|((descr @ (^[Z0/* 3 */:$i]:((X924 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X925 @ Z0)))))|(((X928)!=(esk48_3 @ X924 @ X925 @ X928))|~(X924 @ X928))|(~(X924 @ (esk46_2 @ X924 @ X925))|~(X925 @ (esk47_2 @ X924 @ X925))))))&((((X925 @ (esk49_3 @ X924 @ X925 @ X930))|~(X925 @ X930)|((descr @ (^[Z0/* 3 */:$i]:((X924 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X925 @ Z0)))))|((X924 @ (esk48_3 @ X924 @ X925 @ X928))|~(X924 @ X928))|((X924 @ (esk46_2 @ X924 @ X925))|(X925 @ (esk47_2 @ X924 @ X925))))&(((X930)!=(esk49_3 @ X924 @ X925 @ X930))|~(X925 @ X930)|((descr @ (^[Z0/* 3 */:$i]:((X924 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X925 @ Z0)))))|((X924 @ (esk48_3 @ X924 @ X925 @ X928))|~(X924 @ X928))|((X924 @ (esk46_2 @ X924 @ X925))|(X925 @ (esk47_2 @ X924 @ X925)))))&(((X925 @ (esk49_3 @ X924 @ X925 @ X930))|~(X925 @ X930)|((descr @ (^[Z0/* 3 */:$i]:((X924 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X925 @ Z0)))))|(((X928)!=(esk48_3 @ X924 @ X925 @ X928))|~(X924 @ X928))|((X924 @ (esk46_2 @ X924 @ X925))|(X925 @ (esk47_2 @ X924 @ X925))))&(((X930)!=(esk49_3 @ X924 @ X925 @ X930))|~(X925 @ X930)|((descr @ (^[Z0/* 3 */:$i]:((X924 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X925 @ Z0)))))|(((X928)!=(esk48_3 @ X924 @ X925 @ X928))|~(X924 @ X928))|((X924 @ (esk46_2 @ X924 @ X925))|(X925 @ (esk47_2 @ X924 @ X925))))))))&((((in @ (esk50_4 @ X932 @ X933 @ X934 @ X935) @ X932)|((dsetconstr @ X932 @ (^[Z0/* 3 */:$i]:((X934 @ Z0))))=(dsetconstr @ X933 @ (^[Z0/* 3 */:$i]:((X935 @ Z0)))))|((X932)!=(X933)))&(((in @ (esk51_4 @ X932 @ X933 @ X934 @ X935) @ X933)|((dsetconstr @ X932 @ (^[Z0/* 3 */:$i]:((X934 @ Z0))))=(dsetconstr @ X933 @ (^[Z0/* 3 */:$i]:((X935 @ Z0)))))|((X932)!=(X933)))&((((esk50_4 @ X932 @ X933 @ X934 @ X935)=(esk51_4 @ X932 @ X933 @ X934 @ X935))|((dsetconstr @ X932 @ (^[Z0/* 3 */:$i]:((X934 @ Z0))))=(dsetconstr @ X933 @ (^[Z0/* 3 */:$i]:((X935 @ Z0)))))|((X932)!=(X933)))&((~(X934 @ (esk50_4 @ X932 @ X933 @ X934 @ X935))|~(X935 @ (esk51_4 @ X932 @ X933 @ X934 @ X935))|((dsetconstr @ X932 @ (^[Z0/* 3 */:$i]:((X934 @ Z0))))=(dsetconstr @ X933 @ (^[Z0/* 3 */:$i]:((X935 @ Z0)))))|((X932)!=(X933)))&((X934 @ (esk50_4 @ X932 @ X933 @ X934 @ X935))|(X935 @ (esk51_4 @ X932 @ X933 @ X934 @ X935))|((dsetconstr @ X932 @ (^[Z0/* 3 */:$i]:((X934 @ Z0))))=(dsetconstr @ X933 @ (^[Z0/* 3 */:$i]:((X935 @ Z0)))))|((X932)!=(X933)))))))&((((in @ (esk52_2 @ X938 @ X939) @ X938)|(subset @ X938 @ X939))&(~(in @ (esk52_2 @ X938 @ X939) @ X939)|(subset @ X938 @ X939)))&((((X941)!=(X942))|(subset @ X942 @ X941))&((((X943)!=(X944))|(subset @ X943 @ X944))&((((in @ (esk53_2 @ X945 @ X946) @ X945)|(subset @ X945 @ X946))&(~(in @ (esk53_2 @ X945 @ X946) @ X946)|(subset @ X945 @ X946)))&((subset @ emptyset @ X948)&((~(subset @ X949 @ X950)|(~(in @ X951 @ X949)|(in @ X951 @ X950)))&((~(subset @ X952 @ X953)|((in @ X954 @ X953)|~(in @ X954 @ X952)))&((~(in @ X957 @ X955)|((in @ X957 @ X956)|~(subset @ X955 @ X956)))&(((subset @ X958 @ X959)|((X958)!=(X959)))&((~(in @ X962 @ X960)|((in @ X962 @ X961)|((X960)!=(X961))))&((subset @ X963 @ X963)&((~(subset @ X964 @ X965)|(~(subset @ X965 @ X966)|(subset @ X964 @ X966)))&((subset @ X968 @ (setadjoin @ X967 @ X968))&((~(subset @ X969 @ X971)|(subset @ X969 @ (setadjoin @ X970 @ X971)))&((~(subset @ X972 @ X973)|(in @ X972 @ (powerset @ X973)))&((~(subset @ X974 @ X975)|(~(subset @ X975 @ X974)|((X974)=(X975))))&((~(subset @ X976 @ emptyset)|((X976)=(emptyset)))&((~(subset @ X978 @ X977)|(in @ X978 @ (powerset @ X977)))&((~(in @ X980 @ (powerset @ X979))|(subset @ X980 @ X979))&((in @ X981 @ (powerset @ X981))&((~(subset @ X982 @ X983)|(subset @ (powerset @ X982) @ (powerset @ X983)))&((in @ (dsetconstr @ X984 @ (^[Z0/* 3 */:$i]:((X985 @ Z0)))) @ (powerset @ X984))&((subset @ (dsetconstr @ X986 @ (^[Z0/* 3 */:$i]:((X987 @ Z0)))) @ X986)&((~(in @ X990 @ X988)|(in @ X990 @ (binunion @ X988 @ X989)))&((in @ X992 @ (setadjoin @ X991 @ (setadjoin @ X992 @ emptyset)))&((~(in @ X995 @ X994)|(in @ X995 @ (binunion @ X993 @ X994)))&(((((in @ X998 @ X997)|(X999)|(in @ X998 @ X996)|~(in @ X998 @ (binunion @ X996 @ X997)))&(~(X999)|(X999)|(in @ X998 @ X996)|~(in @ X998 @ (binunion @ X996 @ X997))))&(((in @ X998 @ X997)|(X999)|~(X999)|~(in @ X998 @ (binunion @ X996 @ X997)))&(~(X999)|(X999)|~(X999)|~(in @ X998 @ (binunion @ X996 @ X997)))))&((~(in @ X1002 @ (binunion @ X1000 @ X1001))|((in @ X1002 @ X1000)|(in @ X1002 @ X1001)))&((subset @ X1003 @ (binunion @ X1003 @ X1004))&((subset @ X1006 @ (binunion @ X1005 @ X1006))&((~(in @ X1009 @ X1007)|(~(in @ X1009 @ X1008)|(in @ X1009 @ (binintersect @ X1007 @ X1008))))&((~(subset @ X1012 @ X1010)|(~(subset @ X1012 @ X1011)|(subset @ X1012 @ (binintersect @ X1010 @ X1011))))&((~(in @ X1015 @ (binintersect @ X1013 @ X1014))|(in @ X1015 @ X1013))&((subset @ (binintersect @ X1016 @ X1017) @ X1016)&((~(subset @ X1018 @ X1019)|((binintersect @ X1018 @ X1019)=(X1018)))&((((binintersect @ X1020 @ X1021)!=(X1021))|(subset @ X1021 @ X1020))&((~(in @ X1024 @ (binintersect @ X1022 @ X1023))|(in @ X1024 @ X1023))&((((in @ (esk54_2 @ X1025 @ X1026) @ X1025)|((binintersect @ X1025 @ X1026)=(emptyset)))&((in @ (esk54_2 @ X1025 @ X1026) @ X1026)|((binintersect @ X1025 @ X1026)=(emptyset))))&((subset @ (binintersect @ X1028 @ X1029) @ X1029)&((~(subset @ X1031 @ X1030)|((binintersect @ X1030 @ X1031)=(X1031)))&((((binintersect @ X1032 @ X1033)!=(X1032))|(subset @ X1032 @ X1033))&(((binintersect @ X1034 @ (binunion @ X1035 @ X1036))=(binunion @ (binintersect @ X1034 @ X1035) @ (binintersect @ X1034 @ X1036)))&((~(in @ X1039 @ X1037)|((in @ X1039 @ X1038)|(in @ X1039 @ (dsetconstr @ X1037 @ (^[Z0/* 7 */:$i]:(~((in @ Z0 @ X1038))))))))&((in @ esk57_0 @ (dsetconstr @ esk55_0 @ (^[Z0/* 7 */:$i]:(~((in @ Z0 @ esk56_0))))))&~(in @ esk57_0 @ esk55_0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_164])])])])])])).
0.17/0.50	thf(c_0_166, negated_conjecture, ![X3:$i, X2:$i, X1:$i > $o]:(((in @ X2 @ X3)|~((in @ X2 @ (dsetconstr @ X3 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_165])).
0.17/0.50	thf(c_0_167, negated_conjecture, (in @ esk57_0 @ (dsetconstr @ esk55_0 @ (^[Z0/* 7 */:$i]:(~((in @ Z0 @ esk56_0)))))), inference(split_conjunct,[status(thm)],[c_0_165])).
0.17/0.50	thf(c_0_168, negated_conjecture, ~((in @ esk57_0 @ esk55_0)), inference(split_conjunct,[status(thm)],[c_0_165])).
0.17/0.50	thf(c_0_169, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_166, c_0_167]), c_0_168]), ['proof']).
0.17/0.50	# SZS output end CNFRefutation
0.17/0.50	# Parsed axioms                        : 259
0.17/0.50	# Removed by relevancy pruning/SinE    : 138
0.17/0.50	# Initial clauses                      : 233
0.17/0.50	# Removed in clause preprocessing      : 16
0.17/0.50	# Initial clauses in saturation        : 217
0.17/0.50	# Processed clauses                    : 272
0.17/0.50	# ...of these trivial                  : 3
0.17/0.50	# ...subsumed                          : 21
0.17/0.50	# ...remaining for further processing  : 248
0.17/0.50	# Other redundant clauses eliminated   : 15
0.17/0.50	# Clauses deleted for lack of memory   : 0
0.17/0.50	# Backward-subsumed                    : 0
0.17/0.50	# Backward-rewritten                   : 2
0.17/0.50	# Generated clauses                    : 65
0.17/0.50	# ...of the previous two non-redundant : 40
0.17/0.50	# ...aggressively subsumed             : 0
0.17/0.50	# Contextual simplify-reflections      : 0
0.17/0.50	# Paramodulations                      : 50
0.17/0.50	# Factorizations                       : 0
0.17/0.50	# NegExts                              : 0
0.17/0.50	# Equation resolutions                 : 15
0.17/0.50	# Total rewrite steps                  : 34
0.17/0.50	# Propositional unsat checks           : 0
0.17/0.50	#    Propositional check models        : 0
0.17/0.50	#    Propositional check unsatisfiable : 0
0.17/0.50	#    Propositional clauses             : 0
0.17/0.50	#    Propositional clauses after purity: 0
0.17/0.50	#    Propositional unsat core size     : 0
0.17/0.50	#    Propositional preprocessing time  : 0.000
0.17/0.50	#    Propositional encoding time       : 0.000
0.17/0.50	#    Propositional solver time         : 0.000
0.17/0.50	#    Success case prop preproc time    : 0.000
0.17/0.50	#    Success case prop encoding time   : 0.000
0.17/0.50	#    Success case prop solver time     : 0.000
0.17/0.50	# Current number of processed clauses  : 43
0.17/0.50	#    Positive orientable unit clauses  : 22
0.17/0.50	#    Positive unorientable unit clauses: 0
0.17/0.50	#    Negative unit clauses             : 3
0.17/0.50	#    Non-unit-clauses                  : 18
0.17/0.50	# Current number of unprocessed clauses: 173
0.17/0.50	# ...number of literals in the above   : 611
0.17/0.50	# Current number of archived formulas  : 0
0.17/0.50	# Current number of archived clauses   : 192
0.17/0.50	# Clause-clause subsumption calls (NU) : 5333
0.17/0.50	# Rec. Clause-clause subsumption calls : 1503
0.17/0.50	# Non-unit clause-clause subsumptions  : 16
0.17/0.50	# Unit Clause-clause subsumption calls : 18
0.17/0.50	# Rewrite failures with RHS unbound    : 0
0.17/0.50	# BW rewrite match attempts            : 13
0.17/0.50	# BW rewrite match successes           : 2
0.17/0.50	# Condensation attempts                : 272
0.17/0.50	# Condensation successes               : 3
0.17/0.50	# Termbank termtop insertions          : 31817
0.17/0.50	
0.17/0.50	# -------------------------------------------------
0.17/0.50	# User time                : 0.042 s
0.17/0.50	# System time              : 0.006 s
0.17/0.50	# Total time               : 0.048 s
0.17/0.50	# Maximum resident set size: 4752 pages
0.80/180.09	
0.80/180.09	# -------------------------------------------------
0.80/180.09	# User time                : 0.048 s
0.80/180.09	# System time              : 0.009 s
0.80/180.09	# Total time               : 0.056 s
0.80/180.09	# Maximum resident set size: 2064 pages
0.80/180.09	% E---3.1 exiting
0.80/180.09	EOF