0.09/0.10	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.09/0.10	% Command    : run_E %s %d THM
0.09/0.31	% Computer : n020.cluster.edu
0.09/0.31	% Model    : x86_64 x86_64
0.09/0.31	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.09/0.31	% Memory   : 8042.1875MB
0.09/0.31	% OS       : Linux 3.10.0-693.el7.x86_64
0.09/0.31	% CPULimit   : 1440
0.09/0.31	% WCLimit    : 180
0.09/0.31	% DateTime   : Thu Jul  4 08:02:38 EDT 2024
0.09/0.31	% CPUTime    : 
0.17/0.43	Running higher-order theorem proving
0.17/0.45	Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p
44.31/180.07	# Version: 3.2.0-ho
44.31/180.07	# Preprocessing class: HSLMSLSSLLLCHFA.
44.31/180.07	# Scheduled 8 strats onto 8 cores with 180 seconds (1440 total)
44.31/180.07	# Starting ehoh_best5 with 180s (1) cores
44.31/180.07	# Starting almost_fo_3_lam with 180s (1) cores
44.31/180.07	# Starting new_bool_5 with 180s (1) cores
44.31/180.07	# Starting pre_casc_3 with 180s (1) cores
44.31/180.07	# Starting ho_unfolding_8 with 180s (1) cores
44.31/180.07	# Starting new_ho_10_cnf2 with 180s (1) cores
44.31/180.07	# Starting new_bool_3 with 180s (1) cores
44.31/180.07	# Starting new_ho_5 with 180s (1) cores
44.31/180.07	# new_bool_3 with pid 3993 completed with status 0
44.31/180.07	# Result found by new_bool_3
44.31/180.07	# Preprocessing class: HSLMSLSSLLLCHFA.
44.31/180.07	# Scheduled 8 strats onto 8 cores with 180 seconds (1440 total)
44.31/180.07	# Starting ehoh_best5 with 180s (1) cores
44.31/180.07	# Starting almost_fo_3_lam with 180s (1) cores
44.31/180.07	# Starting new_bool_5 with 180s (1) cores
44.31/180.07	# Starting pre_casc_3 with 180s (1) cores
44.31/180.07	# Starting ho_unfolding_8 with 180s (1) cores
44.31/180.07	# Starting new_ho_10_cnf2 with 180s (1) cores
44.31/180.07	# Starting new_bool_3 with 180s (1) cores
44.31/180.07	# SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
44.31/180.07	# Search class: HGHSM-FSLM31-MHFMMSBN
44.31/180.07	# Scheduled 6 strats onto 1 cores with 180 seconds (180 total)
44.31/180.07	# Starting new_ho_10_cnf2 with 98s (1) cores
44.31/180.07	# new_ho_10_cnf2 with pid 3998 completed with status 0
44.31/180.07	# Result found by new_ho_10_cnf2
44.31/180.07	# Preprocessing class: HSLMSLSSLLLCHFA.
44.31/180.07	# Scheduled 8 strats onto 8 cores with 180 seconds (1440 total)
44.31/180.07	# Starting ehoh_best5 with 180s (1) cores
44.31/180.07	# Starting almost_fo_3_lam with 180s (1) cores
44.31/180.07	# Starting new_bool_5 with 180s (1) cores
44.31/180.07	# Starting pre_casc_3 with 180s (1) cores
44.31/180.07	# Starting ho_unfolding_8 with 180s (1) cores
44.31/180.07	# Starting new_ho_10_cnf2 with 180s (1) cores
44.31/180.07	# Starting new_bool_3 with 180s (1) cores
44.31/180.07	# SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
44.31/180.07	# Search class: HGHSM-FSLM31-MHFMMSBN
44.31/180.07	# Scheduled 6 strats onto 1 cores with 180 seconds (180 total)
44.31/180.07	# Starting new_ho_10_cnf2 with 98s (1) cores
44.31/180.07	# Preprocessing time       : 0.004 s
44.31/180.07	# Presaturation interreduction done
44.31/180.07	
44.31/180.07	# Proof found!
44.31/180.07	# SZS status Theorem
44.31/180.07	# SZS output start CNFRefutation
44.31/180.07	thf(decl_22, type, in: $i > $i > $o).
44.31/180.07	thf(decl_23, type, exu: ($i > $o) > $o).
44.31/180.07	thf(decl_24, type, setextAx: $o).
44.31/180.07	thf(decl_25, type, emptyset: $i).
44.31/180.07	thf(decl_26, type, emptysetAx: $o).
44.31/180.07	thf(decl_27, type, setadjoin: $i > $i > $i).
44.31/180.07	thf(decl_28, type, setadjoinAx: $o).
44.31/180.07	thf(decl_29, type, powerset: $i > $i).
44.31/180.07	thf(decl_30, type, powersetAx: $o).
44.31/180.07	thf(decl_31, type, setunion: $i > $i).
44.31/180.07	thf(decl_32, type, setunionAx: $o).
44.31/180.07	thf(decl_33, type, omega: $i).
44.31/180.07	thf(decl_34, type, omega0Ax: $o).
44.31/180.07	thf(decl_35, type, omegaSAx: $o).
44.31/180.07	thf(decl_36, type, omegaIndAx: $o).
44.31/180.07	thf(decl_37, type, replAx: $o).
44.31/180.07	thf(decl_38, type, foundationAx: $o).
44.31/180.07	thf(decl_39, type, wellorderingAx: $o).
44.31/180.07	thf(decl_40, type, descr: ($i > $o) > $i).
44.31/180.07	thf(decl_41, type, descrp: $o).
44.31/180.07	thf(decl_42, type, dsetconstr: $i > ($i > $o) > $i).
44.31/180.07	thf(decl_43, type, dsetconstrI: $o).
44.31/180.07	thf(decl_44, type, dsetconstrEL: $o).
44.31/180.07	thf(decl_45, type, dsetconstrER: $o).
44.31/180.07	thf(decl_46, type, exuE1: $o).
44.31/180.07	thf(decl_47, type, prop2set: $o > $i).
44.31/180.07	thf(decl_48, type, prop2setE: $o).
44.31/180.07	thf(decl_49, type, emptysetE: $o).
44.31/180.07	thf(decl_50, type, emptysetimpfalse: $o).
44.31/180.07	thf(decl_51, type, notinemptyset: $o).
44.31/180.07	thf(decl_52, type, exuE3e: $o).
44.31/180.07	thf(decl_53, type, setext: $o).
44.31/180.07	thf(decl_54, type, emptyI: $o).
44.31/180.07	thf(decl_55, type, noeltsimpempty: $o).
44.31/180.07	thf(decl_56, type, setbeta: $o).
44.31/180.07	thf(decl_57, type, nonempty: $i > $o).
44.31/180.07	thf(decl_58, type, nonemptyE1: $o).
44.31/180.07	thf(decl_59, type, nonemptyI: $o).
44.31/180.07	thf(decl_60, type, nonemptyI1: $o).
44.31/180.07	thf(decl_61, type, setadjoinIL: $o).
44.31/180.07	thf(decl_62, type, emptyinunitempty: $o).
44.31/180.07	thf(decl_63, type, setadjoinIR: $o).
44.31/180.07	thf(decl_64, type, setadjoinE: $o).
44.31/180.07	thf(decl_65, type, setadjoinOr: $o).
44.31/180.07	thf(decl_66, type, setoftrueEq: $o).
44.31/180.07	thf(decl_67, type, powersetI: $o).
44.31/180.07	thf(decl_68, type, emptyinPowerset: $o).
44.31/180.07	thf(decl_69, type, emptyInPowerset: $o).
44.31/180.07	thf(decl_70, type, powersetE: $o).
44.31/180.07	thf(decl_71, type, setunionI: $o).
44.31/180.07	thf(decl_72, type, setunionE: $o).
44.31/180.07	thf(decl_73, type, subPowSU: $o).
44.31/180.07	thf(decl_74, type, exuE2: $o).
44.31/180.07	thf(decl_75, type, nonemptyImpWitness: $o).
44.31/180.07	thf(decl_76, type, uniqinunit: $o).
44.31/180.07	thf(decl_77, type, notinsingleton: $o).
44.31/180.07	thf(decl_78, type, eqinunit: $o).
44.31/180.07	thf(decl_79, type, singletonsswitch: $o).
44.31/180.07	thf(decl_80, type, upairsetE: $o).
44.31/180.07	thf(decl_81, type, upairsetIL: $o).
44.31/180.07	thf(decl_82, type, upairsetIR: $o).
44.31/180.07	thf(decl_83, type, emptyE1: $o).
44.31/180.07	thf(decl_84, type, vacuousDall: $o).
44.31/180.07	thf(decl_85, type, quantDeMorgan1: $o).
44.31/180.07	thf(decl_86, type, quantDeMorgan2: $o).
44.31/180.07	thf(decl_87, type, quantDeMorgan3: $o).
44.31/180.07	thf(decl_88, type, quantDeMorgan4: $o).
44.31/180.07	thf(decl_89, type, prop2setI: $o).
44.31/180.07	thf(decl_91, type, prop2set2propI: $o).
44.31/180.07	thf(decl_92, type, notdexE: $o).
44.31/180.07	thf(decl_93, type, notdallE: $o).
44.31/180.07	thf(decl_94, type, exuI1: $o).
44.31/180.07	thf(decl_95, type, exuI3: $o).
44.31/180.07	thf(decl_96, type, exuI2: $o).
44.31/180.07	thf(decl_97, type, inCongP: $o).
44.31/180.07	thf(decl_98, type, in__Cong: $o).
44.31/180.07	thf(decl_99, type, exuE3u: $o).
44.31/180.07	thf(decl_100, type, exu__Cong: $o).
44.31/180.07	thf(decl_101, type, emptyset__Cong: $o).
44.31/180.07	thf(decl_102, type, setadjoin__Cong: $o).
44.31/180.07	thf(decl_103, type, powerset__Cong: $o).
44.31/180.07	thf(decl_104, type, setunion__Cong: $o).
44.31/180.07	thf(decl_105, type, omega__Cong: $o).
44.31/180.07	thf(decl_106, type, exuEu: $o).
44.31/180.07	thf(decl_107, type, descr__Cong: $o).
44.31/180.07	thf(decl_108, type, dsetconstr__Cong: $o).
44.31/180.07	thf(decl_109, type, subset: $i > $i > $o).
44.31/180.07	thf(decl_112, type, subsetI1: $o).
44.31/180.07	thf(decl_113, type, eqimpsubset2: $o).
44.31/180.07	thf(decl_114, type, eqimpsubset1: $o).
44.31/180.07	thf(decl_115, type, subsetI2: $o).
44.31/180.07	thf(decl_116, type, emptysetsubset: $o).
44.31/180.07	thf(decl_117, type, subsetE: $o).
44.31/180.07	thf(decl_118, type, subsetE2: $o).
44.31/180.07	thf(decl_119, type, notsubsetI: $o).
44.31/180.07	thf(decl_120, type, notequalI1: $o).
44.31/180.07	thf(decl_121, type, notequalI2: $o).
44.31/180.07	thf(decl_122, type, subsetRefl: $o).
44.31/180.07	thf(decl_123, type, subsetTrans: $o).
44.31/180.07	thf(decl_124, type, setadjoinSub: $o).
44.31/180.07	thf(decl_125, type, setadjoinSub2: $o).
44.31/180.07	thf(decl_126, type, subset2powerset: $o).
44.31/180.07	thf(decl_127, type, setextsub: $o).
44.31/180.07	thf(decl_128, type, subsetemptysetimpeq: $o).
44.31/180.07	thf(decl_129, type, powersetI1: $o).
44.31/180.07	thf(decl_130, type, powersetE1: $o).
44.31/180.07	thf(decl_131, type, inPowerset: $o).
44.31/180.07	thf(decl_132, type, powersetsubset: $o).
44.31/180.07	thf(decl_133, type, sepInPowerset: $o).
44.31/180.07	thf(decl_134, type, sepSubset: $o).
44.31/180.07	thf(decl_135, type, binunion: $i > $i > $i).
44.31/180.07	thf(decl_136, type, binunionIL: $o).
44.31/180.07	thf(decl_137, type, upairset2IR: $o).
44.31/180.07	thf(decl_138, type, binunionIR: $o).
44.31/180.07	thf(decl_139, type, binunionEcases: $o).
44.31/180.07	thf(decl_140, type, binunionE: $o).
44.31/180.07	thf(decl_141, type, binunionLsub: $o).
44.31/180.07	thf(decl_142, type, binunionRsub: $o).
44.31/180.07	thf(decl_143, type, binintersect: $i > $i > $i).
44.31/180.07	thf(decl_144, type, epred1_0: $o).
44.31/180.07	thf(decl_145, type, esk1_2: $i > $i > $i).
44.31/180.07	thf(decl_146, type, esk2_2: $i > $i > $i).
44.31/180.07	thf(decl_147, type, esk3_2: $i > $i > $i).
44.31/180.07	thf(decl_148, type, esk4_1: $i > $i).
44.31/180.07	thf(decl_149, type, esk5_2: ($i > $i > $o) > $i > $i).
44.31/180.07	thf(decl_150, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
44.31/180.07	thf(decl_151, type, esk7_2: ($i > $i > $o) > $i > $i).
44.31/180.07	thf(decl_152, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
44.31/180.07	thf(decl_153, type, esk9_1: $i > $i).
44.31/180.07	thf(decl_154, type, esk10_2: ($i > $o) > $i > $i).
44.31/180.07	thf(decl_155, type, esk11_2: ($i > $o) > $i > $i).
44.31/180.07	thf(decl_156, type, esk12_1: ($i > $o) > $i).
44.31/180.07	thf(decl_157, type, esk13_2: ($i > $o) > $i > $i).
44.31/180.07	thf(decl_158, type, esk14_1: ($i > $o) > $i).
44.31/180.07	thf(decl_159, type, esk15_2: $i > $i > $i).
44.31/180.07	thf(decl_160, type, esk16_2: $i > $i > $i).
44.31/180.07	thf(decl_161, type, esk17_1: $i > $i).
44.31/180.07	thf(decl_162, type, esk18_1: $i > $i).
44.31/180.07	thf(decl_163, type, esk19_1: $i > $i).
44.31/180.07	thf(decl_164, type, esk20_2: $i > $i > $i).
44.31/180.07	thf(decl_165, type, esk21_3: $i > $i > $o > $i).
44.31/180.07	thf(decl_166, type, esk22_2: ($i > $o) > $i > $i).
44.31/180.07	thf(decl_167, type, esk23_1: ($i > $o) > $i).
44.31/180.07	thf(decl_168, type, esk24_1: $i > $i).
44.31/180.07	thf(decl_169, type, esk25_2: $i > ($i > $o) > $i).
44.31/180.07	thf(decl_170, type, esk26_2: $i > ($i > $o) > $i).
44.31/180.07	thf(decl_171, type, esk27_2: $i > ($i > $o) > $i).
44.31/180.07	thf(decl_172, type, esk28_2: $i > ($i > $o) > $i).
44.31/180.07	thf(decl_173, type, esk29_2: $i > ($i > $o) > $i).
44.31/180.07	thf(decl_174, type, esk30_2: $i > ($i > $o) > $i).
44.31/180.07	thf(decl_175, type, esk31_2: ($i > $o) > $i > $i).
44.31/180.07	thf(decl_176, type, esk32_1: ($i > $o) > $i).
44.31/180.07	thf(decl_177, type, esk33_1: ($i > $o) > $i).
44.31/180.07	thf(decl_178, type, esk34_1: ($i > $o) > $i).
44.31/180.07	thf(decl_179, type, esk35_1: ($i > $o) > $i).
44.31/180.07	thf(decl_180, type, esk36_2: ($i > $o) > $i > $i).
44.31/180.07	thf(decl_181, type, esk37_1: ($i > $o) > $i).
44.31/180.07	thf(decl_182, type, esk38_2: ($i > $o) > $i > $i).
44.31/180.07	thf(decl_183, type, esk39_2: ($i > $o) > ($i > $o) > $i).
44.31/180.07	thf(decl_184, type, esk40_2: ($i > $o) > ($i > $o) > $i).
44.31/180.07	thf(decl_185, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
44.31/180.07	thf(decl_186, type, esk42_2: ($i > $o) > ($i > $o) > $i).
44.31/180.07	thf(decl_187, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
44.31/180.07	thf(decl_188, type, esk44_2: ($i > $o) > ($i > $o) > $i).
44.31/180.07	thf(decl_189, type, esk45_2: ($i > $o) > $i > $i).
44.31/180.07	thf(decl_190, type, esk46_2: ($i > $o) > ($i > $o) > $i).
44.31/180.07	thf(decl_191, type, esk47_2: ($i > $o) > ($i > $o) > $i).
44.31/180.07	thf(decl_192, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
44.31/180.07	thf(decl_193, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
44.31/180.07	thf(decl_194, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
44.31/180.07	thf(decl_195, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
44.31/180.07	thf(decl_196, type, esk52_2: $i > $i > $i).
44.31/180.07	thf(decl_197, type, esk53_2: $i > $i > $i).
44.31/180.07	thf(decl_198, type, esk54_0: $i).
44.31/180.07	thf(decl_199, type, esk55_0: $i).
44.31/180.07	thf(decl_200, type, esk56_0: $i).
44.31/180.07	thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', nonemptyI)).
44.31/180.07	thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', nonempty)).
44.31/180.07	thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', exuE3e)).
44.31/180.07	thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', exu)).
44.31/180.07	thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', exu__Cong)).
44.31/180.07	thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', exuE1)).
44.31/180.07	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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', replAx)).
44.31/180.07	thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', exuI1)).
44.31/180.07	thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', exuI2)).
44.31/180.07	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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', descr__Cong)).
44.31/180.07	thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', exuEu)).
44.31/180.07	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/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', exuE3u)).
44.31/180.07	thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', exuI3)).
44.31/180.07	thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', exuE2)).
44.31/180.07	thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', descrp)).
44.31/180.07	thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', nonemptyE1)).
44.31/180.07	thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', dsetconstrER)).
44.31/180.07	thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', dsetconstrEL)).
44.31/180.07	thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', dsetconstrI)).
44.31/180.07	thf(binintersect, axiom, ((binintersect)=(^[X4:$i, X5:$i]:(dsetconstr @ X4 @ (^[X2:$i]:((in @ X2 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', binintersect)).
44.31/180.07	thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', sepInPowerset)).
44.31/180.07	thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', sepSubset)).
44.31/180.07	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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', dsetconstr__Cong)).
44.31/180.07	thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', nonemptyImpWitness)).
44.31/180.07	thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', setoftrueEq)).
44.31/180.07	thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', emptyE1)).
44.31/180.07	thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', nonemptyI1)).
44.31/180.07	thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', setbeta)).
44.31/180.07	thf(binintersectI, conjecture, ((setextAx)=>((emptysetAx)=>((((setunionAx)=>((((omegaIndAx)=>((((wellorderingAx)=>((descrp)=>((((((prop2setE)=>(((((((emptyI)=>((noeltsimpempty)=>((setbeta)=>((((nonemptyI1)=>(((emptyinunitempty)=>((((setadjoinOr)=>((((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>(((subPowSU)=>((exuE2)=>(((((eqinunit)=>((singletonsswitch)=>(((upairsetIL)=>((upairsetIR)=>((emptyE1)=>(((((quantDeMorgan3)=>((quantDeMorgan4)=>(((((notdallE)=>((exuI1)=>(((exuI2)=>((inCongP)=>((((exu__Cong)=>((emptyset__Cong)=>((((setunion__Cong)=>((((((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>(((((notsubsetI)=>(((notequalI2)=>(((subsetTrans)=>((((subset2powerset)=>((setextsub)=>(((powersetI1)=>((powersetE1)=>((inPowerset)=>(((sepInPowerset)=>((sepSubset)=>((binunionIL)=>((upairset2IR)=>((binunionIR)=>((((binunionLsub)=>(![X4:$i, X5:$i, X2:$i]:((((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))<=(in @ X2 @ X4)))<=(binunionRsub)))<=(binunionE))<=(binunionEcases)))))))<=(powersetsubset)))))<=(subsetemptysetimpeq))))<=(setadjoinSub2))<=(setadjoinSub)))<=(subsetRefl)))<=(notequalI1)))<=(subsetE2))<=(subsetE))<=(emptysetsubset))))))<=(dsetconstr__Cong))<=(descr__Cong))<=(exuEu))<=(omega__Cong)))<=(powerset__Cong))<=(setadjoin__Cong))))<=(exuE3u))<=(in__Cong))))<=(exuI3))))<=(notdexE))<=(prop2set2propI))<=(prop2setI))))<=(quantDeMorgan2))<=(quantDeMorgan1))<=(vacuousDall)))))<=(upairsetE))))<=(notinsingleton))<=(uniqinunit))<=(nonemptyImpWitness))))<=(setunionE))))))<=(powersetI))<=(setoftrueEq)))<=(setadjoinE))<=(setadjoinIR)))<=(setadjoinIL)))<=(nonemptyI))<=(nonemptyE1)))))<=(setext))<=(exuE3e))<=(notinemptyset))<=(emptysetimpfalse))<=(emptysetE)))<=(exuE1))<=(dsetconstrER))<=(dsetconstrEL))<=(dsetconstrI))))<=(foundationAx))<=(replAx)))<=(omegaSAx))<=(omega0Ax)))<=(powersetAx))<=(setadjoinAx)))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', binintersectI)).
44.31/180.07	thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', setadjoinAx)).
44.31/180.07	thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', quantDeMorgan4)).
44.31/180.07	thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', setext)).
44.31/180.07	thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', inCongP)).
44.31/180.07	thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', notinemptyset)).
44.31/180.07	thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', emptysetimpfalse)).
44.31/180.07	thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', emptysetE)).
44.31/180.07	thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', emptyset__Cong)).
44.31/180.07	thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', setunion__Cong)).
44.31/180.07	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/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', foundationAx)).
44.31/180.07	thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', subsetI1)).
44.31/180.07	thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', omegaSAx)).
44.31/180.07	thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', notdallE)).
44.31/180.07	thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', omega0Ax)).
44.31/180.07	thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', powersetAx)).
44.31/180.07	thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', eqimpsubset2)).
44.31/180.07	thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', eqimpsubset1)).
44.31/180.07	thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', subsetI2)).
44.31/180.07	thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', notsubsetI)).
44.31/180.07	thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', notequalI2)).
44.31/180.07	thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', subsetTrans)).
44.31/180.07	thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', subset2powerset)).
44.31/180.07	thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', setextsub)).
44.31/180.07	thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', powersetI1)).
44.31/180.07	thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', powersetE1)).
44.31/180.07	thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', inPowerset)).
44.31/180.07	thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', binunionIL)).
44.31/180.07	thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', upairset2IR)).
44.31/180.07	thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', binunionIR)).
44.31/180.07	thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', binunionLsub)).
44.31/180.07	thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', binunionRsub)).
44.31/180.07	thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', binunionE)).
44.31/180.07	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/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', binunionEcases)).
44.31/180.07	thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', powersetsubset)).
44.31/180.07	thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', subsetemptysetimpeq)).
44.31/180.07	thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', setadjoinSub2)).
44.31/180.07	thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', setadjoinSub)).
44.31/180.07	thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', subsetRefl)).
44.31/180.07	thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', notequalI1)).
44.31/180.07	thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', subsetE2)).
44.31/180.07	thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', subsetE)).
44.31/180.07	thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', emptysetsubset)).
44.31/180.07	thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', omega__Cong)).
44.31/180.07	thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', powerset__Cong)).
44.31/180.07	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/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', setadjoin__Cong)).
44.31/180.07	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/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', in__Cong)).
44.31/180.07	thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', notdexE)).
44.31/180.07	thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', prop2setI)).
44.31/180.07	thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', quantDeMorgan2)).
44.31/180.07	thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', quantDeMorgan1)).
44.31/180.07	thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', vacuousDall)).
44.31/180.07	thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', upairsetE)).
44.31/180.07	thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', notinsingleton)).
44.31/180.07	thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', uniqinunit)).
44.31/180.07	thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', setunionE)).
44.31/180.07	thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', powersetI)).
44.31/180.07	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/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', setadjoinE)).
44.31/180.07	thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', setadjoinIR)).
44.31/180.07	thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', setadjoinIL)).
44.31/180.07	thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', quantDeMorgan3)).
44.31/180.07	thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', upairsetIR)).
44.31/180.07	thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', upairsetIL)).
44.31/180.07	thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', singletonsswitch)).
44.31/180.07	thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', eqinunit)).
44.31/180.07	thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', subPowSU)).
44.31/180.07	thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', setunionI)).
44.31/180.07	thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', powersetE)).
44.31/180.07	thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', emptyInPowerset)).
44.31/180.07	thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', emptyinPowerset)).
44.31/180.07	thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', setadjoinOr)).
44.31/180.07	thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', emptyinunitempty)).
44.31/180.07	thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', noeltsimpempty)).
44.31/180.07	thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', emptyI)).
44.31/180.07	thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', prop2setE)).
44.31/180.07	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:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', wellorderingAx)).
44.31/180.07	thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$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/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', omegaIndAx)).
44.31/180.07	thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', setunionAx)).
44.31/180.07	thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', emptysetAx)).
44.31/180.07	thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.hR6aWZNJve/E---3.1_3909.p', setextAx)).
44.31/180.07	thf(c_0_108, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
44.31/180.07	thf(c_0_109, plain, ((nonempty)=(^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
44.31/180.07	thf(c_0_110, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
44.31/180.07	thf(c_0_111, plain, ((exu)=(^[Z0/* 5 */:$i > $o]:(?[X2:$i]:(((Z0 @ X2)&![X3:$i]:(((Z0 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exu])).
44.31/180.07	thf(c_0_112, plain, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))<=>(exu @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
44.31/180.07	thf(c_0_113, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
44.31/180.07	thf(c_0_114, 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
44.31/180.07	thf(c_0_115, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])).
44.31/180.07	thf(c_0_116, 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])).
44.31/180.07	thf(c_0_117, 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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
44.31/180.07	thf(c_0_118, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
44.31/180.07	thf(c_0_119, 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])).
44.31/180.07	thf(c_0_120, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
44.31/180.07	thf(c_0_121, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
44.31/180.07	thf(c_0_122, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
44.31/180.07	thf(c_0_123, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))!=(emptyset)))))))), inference(apply_def,[status(thm)],[c_0_108, c_0_109])).
44.31/180.07	thf(c_0_124, axiom, ((nonemptyE1)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:((in @ X2 @ X4)))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_109])).
44.31/180.07	thf(c_0_125, plain, ((exuE3e)=(![X1:$i > $o]:(((?[X309:$i]:((((X1 @ X309))&![X310:$i]:((((X1 @ X310))=>((X309)=(X310)))))))=>?[X2:$i]:((X1 @ X2)))))), inference(apply_def,[status(thm)],[c_0_110, c_0_111])).
44.31/180.07	thf(c_0_126, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X321:$i]:((((X1 @ X321))&![X322:$i]:((((X1 @ X322))=>((X321)=(X322)))))))<=>(?[X323:$i]:((((X17 @ X323))&![X324:$i]:((((X17 @ X324))=>((X323)=(X324)))))))))))), inference(apply_def,[status(thm)],[c_0_112, c_0_111])).
44.31/180.07	thf(c_0_127, plain, ((exuE1)=(![X1:$i > $o]:(((?[X307:$i]:((((X1 @ X307))&![X308:$i]:((((X1 @ X308))=>((X307)=(X308)))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))), inference(apply_def,[status(thm)],[c_0_113, c_0_111])).
44.31/180.07	thf(c_0_128, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
44.31/180.07	thf(c_0_129, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
44.31/180.07	thf(c_0_130, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
44.31/180.07	thf(c_0_131, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(?[X303:$i]:((((X6 @ X2 @ X303))&![X304:$i]:((((X6 @ X2 @ X304))=>((X303)=(X304)))))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2)))))))))), inference(apply_def,[status(thm)],[c_0_114, c_0_111])).
44.31/180.07	thf(c_0_132, plain, ((binintersect)=(^[Z0/* 19 */:$i, Z1:$i]:(dsetconstr @ Z0 @ (^[Z2/* 3 */:$i]:((in @ Z2 @ Z1)))))), inference(fof_simplification,[status(thm)],[binintersect])).
44.31/180.07	thf(c_0_133, plain, ((exuI1)=(![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(?[X313:$i]:((((X1 @ X313))&![X314:$i]:((((X1 @ X314))=>((X313)=(X314))))))))))), inference(apply_def,[status(thm)],[c_0_115, c_0_111])).
44.31/180.07	thf(c_0_134, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
44.31/180.07	thf(c_0_135, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
44.31/180.07	thf(c_0_136, plain, ((exuI2)=(![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(?[X317:$i]:((((X1 @ X317))&![X318:$i]:((((X1 @ X318))=>((X317)=(X318))))))))))), inference(apply_def,[status(thm)],[c_0_116, c_0_111])).
44.31/180.07	thf(c_0_137, plain, ((dsetconstr__Cong)<=>![X4:$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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
44.31/180.07	thf(c_0_138, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X327:$i]:((((X1 @ X327))&![X328:$i]:((((X1 @ X328))=>((X327)=(X328)))))))=>((?[X329:$i]:((((X17 @ X329))&![X330:$i]:((((X17 @ X330))=>((X329)=(X330)))))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))))))))), inference(apply_def,[status(thm)],[c_0_117, c_0_111])).
44.31/180.07	thf(c_0_139, plain, ((exuEu)=(![X1:$i > $o]:(((?[X325:$i]:((((X1 @ X325))&![X326:$i]:((((X1 @ X326))=>((X325)=(X326)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_118, c_0_111])).
44.31/180.07	thf(c_0_140, plain, ((exuE3u)=(![X1:$i > $o]:(((?[X319:$i]:((((X1 @ X319))&![X320:$i]:((((X1 @ X320))=>((X319)=(X320)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_119, c_0_111])).
44.31/180.07	thf(c_0_141, plain, ((exuI3)=(![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(?[X315:$i]:((((X1 @ X315))&![X316:$i]:((((X1 @ X316))=>((X315)=(X316)))))))))))), inference(apply_def,[status(thm)],[c_0_120, c_0_111])).
44.31/180.07	thf(c_0_142, axiom, ((nonemptyImpWitness)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:(((in @ X2 @ X4)&($true))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_109])).
44.31/180.07	thf(c_0_143, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
44.31/180.07	thf(c_0_144, 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])).
44.31/180.07	thf(c_0_145, plain, ((exuE2)=(![X1:$i > $o]:(((?[X311:$i]:((((X1 @ X311))&![X312:$i]:((((X1 @ X312))=>((X311)=(X312)))))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2))))))))), inference(apply_def,[status(thm)],[c_0_121, c_0_111])).
44.31/180.07	thf(c_0_146, axiom, ((nonemptyI1)=(![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(((X4)!=(emptyset))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_109])).
44.31/180.07	thf(c_0_147, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
44.31/180.07	thf(c_0_148, plain, ((descrp)=(![X1:$i > $o]:(((?[X305:$i]:((((X1 @ X305))&![X306:$i]:((((X1 @ X306))=>((X305)=(X306)))))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(apply_def,[status(thm)],[c_0_122, c_0_111])).
44.31/180.07	thf(c_0_149, plain, ((epred1_0)<=>![X341:$i]:(?[X342:$i]:((((![X343:$i]:(((in @ X343 @ X342)=>![X344:$i]:(((in @ X344 @ X343)=>(in @ X344 @ X341)))))&![X345:$i, X346:$i]:((((in @ X345 @ X341)&(in @ X346 @ X341))=>(![X347:$i]:(((in @ X347 @ X342)=>((in @ X345 @ X347)<=>(in @ X346 @ X347))))=>((X345)=(X346))))))&![X348:$i, X349:$i]:((((in @ X348 @ X342)&(in @ X349 @ X342))=>(![X350:$i]:(((in @ X350 @ X348)=>(in @ X350 @ X349)))|![X351:$i]:(((in @ X351 @ X349)=>(in @ X351 @ X348)))))))&![X352:$i]:(((![X353:$i]:(((in @ X353 @ X352)=>(in @ X353 @ X341)))&?[X354:$i]:((in @ X354 @ X352)))=>?[X355:$i, X356:$i]:(((((in @ X355 @ X342)&(in @ X356 @ X352))&~(?[X357:$i]:(((in @ X357 @ X355)&(in @ X357 @ X352)))))&![X358:$i]:(((in @ X358 @ X342)=>(![X359:$i]:(((in @ X359 @ X358)=>(in @ X359 @ X355)))|(in @ X356 @ X358)))))))))))), introduced(definition)).
44.31/180.07	thf(c_0_150, negated_conjecture, ~((![X331:$i, X332:$i]:((![X333:$i]:(((in @ X333 @ X331)<=>(in @ X333 @ X332)))=>((X331)=(X332))))=>(![X334:$i]:(~(in @ X334 @ emptyset))=>(![X636:$i, X637:$i, X638:$i]:(((in @ X638 @ (setadjoin @ X636 @ X637))<=>(((X638)=(X636))|(in @ X638 @ X637))))=>(![X633:$i, X634:$i]:(((in @ X634 @ (powerset @ X633))<=>![X635:$i]:(((in @ X635 @ X634)=>(in @ X635 @ X633)))))=>(![X335:$i, X336:$i]:(((in @ X336 @ (setunion @ X335))<=>?[X337:$i]:(((in @ X336 @ X337)&(in @ X337 @ X335)))))=>((in @ emptyset @ omega)=>(![X632:$i]:(((in @ X632 @ omega)=>(in @ (setadjoin @ X632 @ X632) @ omega)))=>(![X338:$i]:((((in @ emptyset @ X338)&![X339:$i]:((((in @ X339 @ omega)&(in @ X339 @ X338))=>(in @ (setadjoin @ X339 @ X339) @ X338))))=>![X340:$i]:(((in @ X340 @ omega)=>(in @ X340 @ X338)))))=>(![X624:$i > $i > $o, X625:$i]:((![X626:$i]:(((in @ X626 @ X625)=>?[X627:$i]:(((X624 @ X626 @ X627)&![X628:$i]:(((X624 @ X626 @ X628)=>((X627)=(X628))))))))=>?[X629:$i]:(![X630:$i]:(((in @ X630 @ X629)<=>?[X631:$i]:(((in @ X631 @ X625)&(X624 @ X631 @ X630))))))))=>(![X620:$i]:((?[X621:$i]:((in @ X621 @ X620))=>?[X622:$i]:(((in @ X622 @ X620)&~(?[X623:$i]:(((in @ X623 @ X622)&(in @ X623 @ X620))))))))=>((epred1_0)=>(![X360:$i > $o]:((?[X361:$i]:(((X360 @ X361)&![X362:$i]:(((X360 @ X362)=>((X361)=(X362))))))=>(X360 @ (descr @ (^[Z0/* 17 */:$i]:(X360 @ Z0))))))=>(![X617:$i, X618:$i > $o, X619:$i]:(((in @ X619 @ X617)=>((X618 @ X619)=>(in @ X619 @ (dsetconstr @ X617 @ X618)))))=>(![X614:$i, X615:$i > $o, X616:$i]:(((in @ X616 @ (dsetconstr @ X614 @ X615))=>(in @ X616 @ X614)))=>(![X611:$i, X612:$i > $o, X613:$i]:(((in @ X613 @ (dsetconstr @ X611 @ X612))=>(X612 @ X613)))=>(![X606:$i > $o]:((?[X607:$i]:(((X606 @ X607)&![X608:$i]:(((X606 @ X608)=>((X607)=(X608))))))=>?[X609:$i]:(((X606 @ X609)&![X610:$i]:(((X606 @ X610)=>((X609)=(X610))))))))=>(![X363:$o, X364:$i]:(((in @ X364 @ (prop2set @ ((X363))))=>(X363)))=>(![X604:$i]:(((in @ X604 @ emptyset)=>![X605:$o]:((X605))))=>(![X603:$i]:(((in @ X603 @ emptyset)=>~($true)))=>(![X602:$i]:(~(in @ X602 @ emptyset))=>(![X598:$i > $o]:((?[X599:$i]:(((X598 @ X599)&![X600:$i]:(((X598 @ X600)=>((X599)=(X600))))))=>?[X601:$i]:((X598 @ X601))))=>(![X594:$i, X595:$i]:((![X596:$i]:(((in @ X596 @ X594)=>(in @ X596 @ X595)))=>(![X597:$i]:(((in @ X597 @ X595)=>(in @ X597 @ X594)))=>((X594)=(X595)))))=>(![X365:$i]:((![X366:$i]:(~(in @ X366 @ X365))=>((X365)=(emptyset))))=>(![X367:$i]:((![X368:$i]:(~(in @ X368 @ X367))=>((X367)=(emptyset))))=>(![X369:$i, X370:$i > $o, X371:$i]:(((in @ X371 @ X369)=>((in @ X371 @ (dsetconstr @ X369 @ X370))<=>(X370 @ X371))))=>(![X592:$i]:((((X592)!=(emptyset))=>?[X593:$i]:((in @ X593 @ X592))))=>(![X589:$i, X590:$i > $o, X591:$i]:(((in @ X591 @ X589)=>((X590 @ X591)=>((dsetconstr @ X589 @ X590)!=(emptyset)))))=>(![X372:$i]:((?[X373:$i]:((in @ X373 @ X372))=>((X372)!=(emptyset))))=>(![X587:$i, X588:$i]:((in @ X587 @ (setadjoin @ X587 @ X588)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X584:$i, X585:$i, X586:$i]:(((in @ X586 @ X585)=>(in @ X586 @ (setadjoin @ X584 @ X585))))=>(![X580:$i, X581:$i, X582:$i]:(((in @ X582 @ (setadjoin @ X580 @ X581))=>![X583:$o]:(((((X582)=(X580))=>(X583))=>(((in @ X582 @ X581)=>(X583))=>(X583))))))=>(![X374:$i, X375:$i, X376:$i]:(((in @ X376 @ (setadjoin @ X374 @ X375))=>(((X376)=(X374))|(in @ X376 @ X375))))=>(![X579:$i]:(((dsetconstr @ X579 @ (^[Z0/* 1 */:$i]:($true)))=(X579)))=>(![X576:$i, X577:$i]:((![X578:$i]:(((in @ X578 @ X577)=>(in @ X578 @ X576)))=>(in @ X577 @ (powerset @ X576))))=>(![X377:$i]:((in @ emptyset @ (powerset @ X377)))=>(![X378:$i]:((in @ emptyset @ (powerset @ X378)))=>(![X379:$i, X380:$i, X381:$i]:(((in @ X380 @ (powerset @ X379))=>((in @ X381 @ X380)=>(in @ X381 @ X379))))=>(![X382:$i, X383:$i, X384:$i]:(((in @ X383 @ X384)=>((in @ X384 @ X382)=>(in @ X383 @ (setunion @ X382)))))=>(![X572:$i, X573:$i]:(((in @ X573 @ (setunion @ X572))=>![X574:$o]:((![X575:$i]:(((in @ X573 @ X575)=>((in @ X575 @ X572)=>(X574))))=>(X574)))))=>(![X385:$i, X386:$i]:(((in @ X386 @ X385)=>(in @ X386 @ (powerset @ (setunion @ X385)))))=>(![X387:$i > $o]:((?[X388:$i]:(((X387 @ X388)&![X389:$i]:(((X387 @ X389)=>((X388)=(X389))))))=>?[X390:$i]:(![X391:$i]:(((X387 @ X391)<=>((X391)=(X390)))))))=>(![X570:$i]:((((X570)!=(emptyset))=>?[X571:$i]:(((in @ X571 @ X570)&$true))))=>(![X568:$i, X569:$i]:(((in @ X568 @ (setadjoin @ X569 @ emptyset))=>((X568)=(X569))))=>(![X566:$i, X567:$i]:((((X566)!=(X567))=>~(in @ X567 @ (setadjoin @ X566 @ emptyset))))=>(![X392:$i, X393:$i]:((((X392)=(X393))=>(in @ X392 @ (setadjoin @ X393 @ emptyset))))=>(![X394:$i, X395:$i]:(((in @ X394 @ (setadjoin @ X395 @ emptyset))=>(in @ X395 @ (setadjoin @ X394 @ emptyset))))=>(![X563:$i, X564:$i, X565:$i]:(((in @ X565 @ (setadjoin @ X563 @ (setadjoin @ X564 @ emptyset)))=>(((X565)=(X563))|((X565)=(X564)))))=>(![X396:$i, X397:$i]:((in @ X396 @ (setadjoin @ X396 @ (setadjoin @ X397 @ emptyset))))=>(![X398:$i, X399:$i]:((in @ X399 @ (setadjoin @ X398 @ (setadjoin @ X399 @ emptyset))))=>(![X400:$i, X401:$i > $o]:((?[X402:$i]:(((in @ X402 @ X400)&(X401 @ X402)))=>(((dsetconstr @ X400 @ X401)=(emptyset))=>~($true))))=>(![X561:$i > $o, X562:$i]:(((in @ X562 @ emptyset)=>(X561 @ X562)))=>(![X557:$i, X558:$i > $o]:((~(![X559:$i]:(((in @ X559 @ X557)=>(X558 @ X559))))=>?[X560:$i]:(((in @ X560 @ X557)&~((X558 @ X560))))))=>(![X553:$i, X554:$i > $o]:((![X555:$i]:(((in @ X555 @ X553)=>~((X554 @ X555))))=>~(?[X556:$i]:(((in @ X556 @ X553)&(X554 @ X556))))))=>(![X403:$i, X404:$i > $o]:((~(?[X405:$i]:(((in @ X405 @ X403)&(X404 @ X405))))=>![X406:$i]:(((in @ X406 @ X403)=>~((X404 @ X406))))))=>(![X407:$i, X408:$i > $o]:((?[X409:$i]:(((in @ X409 @ X407)&~((X408 @ X409))))=>~(![X410:$i]:(((in @ X410 @ X407)=>(X408 @ X410))))))=>(![X552:$o]:(((X552)=>(in @ emptyset @ (prop2set @ ((X552))))))=>((prop2set2propI)=>(![X548:$i, X549:$i > $o]:((~(?[X550:$i]:(((in @ X550 @ X548)&(X549 @ X550))))=>![X551:$i]:(((in @ X551 @ X548)=>~((X549 @ X551))))))=>(![X411:$i, X412:$i > $o]:((~(![X413:$i]:(((in @ X413 @ X411)=>(X412 @ X413))))=>?[X414:$i]:(((in @ X414 @ X411)&~((X412 @ X414))))))=>(![X415:$i > $o]:((?[X416:$i]:(((X415 @ X416)&![X417:$i]:(((X415 @ X417)=>((X416)=(X417))))))=>?[X418:$i]:(((X415 @ X418)&![X419:$i]:(((X415 @ X419)=>((X418)=(X419))))))))=>(![X542:$i > $o]:((?[X543:$i]:((X542 @ X543))=>(![X544:$i, X545:$i]:(((X542 @ X544)=>((X542 @ X545)=>((X544)=(X545)))))=>?[X546:$i]:(((X542 @ X546)&![X547:$i]:(((X542 @ X547)=>((X546)=(X547)))))))))=>(![X420:$i > $o]:((?[X421:$i]:(![X422:$i]:(((X420 @ X422)<=>((X422)=(X421)))))=>?[X423:$i]:(((X420 @ X423)&![X424:$i]:(((X420 @ X424)=>((X423)=(X424))))))))=>(![X425:$i, X426:$i]:((((X425)=(X426))=>![X427:$i, X428:$i]:((((X427)=(X428))=>((in @ X427 @ X425)=>(in @ X428 @ X426))))))=>(![X538:$i, X539:$i]:((((X538)=(X539))=>![X540:$i, X541:$i]:((((X540)=(X541))=>((in @ X540 @ X538)<=>(in @ X541 @ X539))))))=>(![X533:$i > $o]:((?[X534:$i]:(((X533 @ X534)&![X535:$i]:(((X533 @ X535)=>((X534)=(X535))))))=>![X536:$i, X537:$i]:(((X533 @ X536)=>((X533 @ X537)=>((X536)=(X537)))))))=>(![X429:$i > $o, X430:$i > $o]:((![X431:$i, X432:$i]:((((X431)=(X432))=>((X429 @ X431)<=>(X430 @ X432))))=>(?[X433:$i]:(((X429 @ X433)&![X434:$i]:(((X429 @ X434)=>((X433)=(X434))))))<=>?[X435:$i]:(((X430 @ X435)&![X436:$i]:(((X430 @ X436)=>((X435)=(X436)))))))))=>(((emptyset)=(emptyset))=>(![X529:$i, X530:$i]:((((X529)=(X530))=>![X531:$i, X532:$i]:((((X531)=(X532))=>((setadjoin @ X529 @ X531)=(setadjoin @ X530 @ X532))))))=>(![X527:$i, X528:$i]:((((X527)=(X528))=>((powerset @ X527)=(powerset @ X528))))=>(![X437:$i, X438:$i]:((((X437)=(X438))=>((setunion @ X437)=(setunion @ X438))))=>(((omega)=(omega))=>(![X522:$i > $o]:((?[X523:$i]:(((X522 @ X523)&![X524:$i]:(((X522 @ X524)=>((X523)=(X524))))))=>![X525:$i, X526:$i]:(((X522 @ X525)=>((X522 @ X526)=>((X525)=(X526)))))))=>(![X514:$i > $o, X515:$i > $o]:((![X516:$i, X517:$i]:((((X516)=(X517))=>((X514 @ X516)<=>(X515 @ X517))))=>(?[X518:$i]:(((X514 @ X518)&![X519:$i]:(((X514 @ X519)=>((X518)=(X519))))))=>(?[X520:$i]:(((X515 @ X520)&![X521:$i]:(((X515 @ X521)=>((X520)=(X521))))))=>((descr @ X514)=(descr @ X515))))))=>(![X508:$i, X509:$i]:((((X508)=(X509))=>![X510:$i > $o, X511:$i > $o]:((![X512:$i]:(((in @ X512 @ X508)=>![X513:$i]:(((in @ X513 @ X509)=>(((X512)=(X513))=>((X510 @ X512)<=>(X511 @ X513)))))))=>((dsetconstr @ X508 @ X510)=(dsetconstr @ X509 @ X511))))))=>(![X439:$i, X440:$i]:((![X441:$i]:(((in @ X441 @ X439)=>(in @ X441 @ X440)))=>(subset @ X439 @ X440)))=>(![X442:$i, X443:$i]:((((X442)=(X443))=>(subset @ X443 @ X442)))=>(![X444:$i, X445:$i]:((((X444)=(X445))=>(subset @ X444 @ X445)))=>(![X446:$i, X447:$i]:((![X448:$i]:(((in @ X448 @ X446)=>(in @ X448 @ X447)))=>(subset @ X446 @ X447)))=>(![X507:$i]:((subset @ emptyset @ X507))=>(![X504:$i, X505:$i, X506:$i]:(((subset @ X504 @ X505)=>((in @ X506 @ X504)=>(in @ X506 @ X505))))=>(![X501:$i, X502:$i, X503:$i]:(((subset @ X501 @ X502)=>(~(in @ X503 @ X502)=>~(in @ X503 @ X501))))=>(![X449:$i, X450:$i, X451:$i]:(((in @ X451 @ X449)=>(~(in @ X451 @ X450)=>~(subset @ X449 @ X450))))=>(![X499:$i, X500:$i]:((~(subset @ X499 @ X500)=>((X499)!=(X500))))=>(![X452:$i, X453:$i, X454:$i]:(((in @ X454 @ X452)=>(~(in @ X454 @ X453)=>((X452)!=(X453)))))=>(![X498:$i]:((subset @ X498 @ X498))=>(![X455:$i, X456:$i, X457:$i]:(((subset @ X455 @ X456)=>((subset @ X456 @ X457)=>(subset @ X455 @ X457))))=>(![X496:$i, X497:$i]:((subset @ X497 @ (setadjoin @ X496 @ X497)))=>(![X493:$i, X494:$i, X495:$i]:(((subset @ X493 @ X495)=>(subset @ X493 @ (setadjoin @ X494 @ X495))))=>(![X458:$i, X459:$i]:(((subset @ X458 @ X459)=>(in @ X458 @ (powerset @ X459))))=>(![X460:$i, X461:$i]:(((subset @ X460 @ X461)=>((subset @ X461 @ X460)=>((X460)=(X461)))))=>(![X492:$i]:(((subset @ X492 @ emptyset)=>((X492)=(emptyset))))=>(![X462:$i, X463:$i]:(((subset @ X463 @ X462)=>(in @ X463 @ (powerset @ X462))))=>(![X464:$i, X465:$i]:(((in @ X465 @ (powerset @ X464))=>(subset @ X465 @ X464)))=>(![X466:$i]:((in @ X466 @ (powerset @ X466)))=>(![X490:$i, X491:$i]:(((subset @ X490 @ X491)=>(subset @ (powerset @ X490) @ (powerset @ X491))))=>(![X467:$i, X468:$i > $o]:((in @ (dsetconstr @ X467 @ X468) @ (powerset @ X467)))=>(![X469:$i, X470:$i > $o]:((subset @ (dsetconstr @ X469 @ X470) @ X469))=>(![X471:$i, X472:$i, X473:$i]:(((in @ X473 @ X471)=>(in @ X473 @ (binunion @ X471 @ X472))))=>(![X474:$i, X475:$i]:((in @ X475 @ (setadjoin @ X474 @ (setadjoin @ X475 @ emptyset))))=>(![X476:$i, X477:$i, X478:$i]:(((in @ X478 @ X477)=>(in @ X478 @ (binunion @ X476 @ X477))))=>(![X486:$i, X487:$i, X488:$i, X489:$o]:(((in @ X488 @ (binunion @ X486 @ X487))=>(((in @ X488 @ X486)=>(X489))=>(((in @ X488 @ X487)=>(X489))=>(X489)))))=>(![X483:$i, X484:$i, X485:$i]:(((in @ X485 @ (binunion @ X483 @ X484))=>((in @ X485 @ X483)|(in @ X485 @ X484))))=>(![X479:$i, X480:$i]:((subset @ X479 @ (binunion @ X479 @ X480)))=>(![X481:$i, X482:$i]:((subset @ X482 @ (binunion @ X481 @ X482)))=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((in @ Z0 @ X5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[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)],[binintersectI]), setadjoinAx]), c_0_123]), quantDeMorgan4]), c_0_124]), setext]), inCongP]), c_0_125]), notinemptyset]), c_0_126]), emptysetimpfalse]), emptysetE]), c_0_127]), emptyset__Cong]), c_0_128]), c_0_129]), setunion__Cong]), c_0_130]), foundationAx]), c_0_131]), subsetI1]), omegaSAx]), notdallE]), omega0Ax]), powersetAx]), eqimpsubset2]), eqimpsubset1]), c_0_132]), subsetI2]), notsubsetI]), notequalI2]), subsetTrans]), subset2powerset]), setextsub]), powersetI1]), powersetE1]), c_0_133]), inPowerset]), c_0_134]), c_0_135]), binunionIL]), upairset2IR]), binunionIR]), binunionLsub]), binunionRsub]), binunionE]), binunionEcases]), powersetsubset]), subsetemptysetimpeq]), setadjoinSub2]), setadjoinSub]), subsetRefl]), notequalI1]), c_0_136]), subsetE2]), subsetE]), emptysetsubset]), c_0_137]), c_0_138]), c_0_139]), omega__Cong]), powerset__Cong]), setadjoin__Cong]), c_0_140]), in__Cong]), c_0_141]), notdexE]), prop2setI]), quantDeMorgan2]), quantDeMorgan1]), vacuousDall]), upairsetE]), notinsingleton]), uniqinunit]), c_0_142]), setunionE]), powersetI]), c_0_143]), setadjoinE]), setadjoinIR]), setadjoinIL]), quantDeMorgan3]), c_0_144]), upairsetIR]), upairsetIL]), singletonsswitch]), eqinunit]), c_0_145]), subPowSU]), setunionI]), powersetE]), emptyInPowerset]), emptyinPowerset]), setadjoinOr]), emptyinunitempty]), c_0_146]), c_0_147]), noeltsimpempty]), emptyI]), prop2setE]), c_0_148]), wellorderingAx]), omegaIndAx]), setunionAx]), emptysetAx]), setextAx])])]), c_0_149])).
44.31/180.07	thf(c_0_151, negated_conjecture, ![X639:$i, X640:$i, X642:$i, X643:$i, X644:$i, X645:$i, X646:$i, X647:$i, X648:$i, X649:$i, X650:$i, X652:$i, X653:$i, X655:$i, X656:$i, X657:$i, X658:$i, X659:$i, X661:$i, X662:$i > $i > $o, X663:$i, X665:$i, X668:$i, X670:$i, X671:$i, X672:$i, X673:$i, X675:$i, X676:$i > $o, X677:$i, X679:$i, X680:$i > $o, X681:$i, X682:$i, X683:$i > $o, X684:$i, X685:$i, X686:$i > $o, X687:$i, X688:$i > $o, X689:$i, X692:$i, X693:$o, X694:$i, X695:$i, X696:$o, X697:$i, X698:$i, X699:$i > $o, X700:$i, X703:$i, X704:$i, X707:$i, X709:$i, X711:$i, X712:$i > $o, X713:$i, X714:$i, X716:$i, X717:$i > $o, X718:$i, X719:$i, X720:$i, X721:$i, X722:$i, X723:$i, X724:$i, X725:$i, X726:$i, X727:$i, X728:$i, X729:$o, X730:$i, X731:$i, X732:$i, X733:$i, X734:$i, X735:$i, X737:$i, X738:$i, X739:$i, X740:$i, X741:$i, X742:$i, X743:$i, X744:$i, X745:$i, X746:$i, X747:$o, X749:$i, X750:$i, X751:$i > $o, X752:$i, X755:$i, X756:$i, X757:$i, X759:$i, X760:$i, X761:$i, X762:$i, X763:$i, X764:$i, X765:$i, X766:$i, X767:$i, X768:$i, X769:$i, X770:$i, X771:$i, X772:$i, X773:$i, X774:$i, X775:$i > $o, X776:$i, X777:$i > $o, X778:$i, X779:$i, X780:$i > $o, X781:$i, X783:$i, X784:$i > $o, X786:$i, X787:$i, X788:$i > $o, X790:$i, X791:$i, X792:$i > $o, X793:$i, X795:$o, X796:$i, X797:$i > $o, X799:$i, X800:$i, X801:$i > $o, X802:$i, X804:$i > $o, X805:$i, X808:$i, X809:$i > $o, X810:$i, X814:$i, X815:$i > $o, X816:$i, X819:$i, X820:$i, X821:$i, X822:$i, X823:$i, X824:$i, X825:$i, X826:$i, X827:$i, X828:$i > $o, X829:$i, X831:$i, X832:$i, X833:$i > $o, X834:$i > $o, X837:$i, X840:$i, X841:$i, X844:$i, X845:$i, X846:$i, X847:$i, X848:$i, X849:$i, X850:$i, X851:$i, X852:$i, X853:$i > $o, X854:$i, X856:$i, X857:$i, X858:$i > $o, X859:$i > $o, X862:$i, X864:$i, X866:$i, X867:$i, X868:$i > $o, X869:$i > $o, X872:$i, X873:$i, X875:$i, X876:$i, X877:$i, X878:$i, X879:$i, X880:$i, X882:$i, X883:$i, X884:$i, X885:$i, X886:$i, X887:$i, X888:$i, X889:$i, X890:$i, X891:$i, X892:$i, X893:$i, X894:$i, X895:$i, X896:$i, X897:$i, X898:$i, X899:$i, X900:$i, X901:$i, X902:$i, X903:$i, X904:$i, X905:$i, X906:$i, X907:$i, X908:$i, X909:$i, X910:$i, X911:$i, X912:$i, X913:$i, X914:$i, X915:$i, X916:$i, X917:$i, X918:$i, X919:$i > $o, X920:$i, X921:$i > $o, X922:$i, X923:$i, X924:$i, X925:$i, X926:$i, X927:$i, X928:$i, X929:$i, X930:$i, X931:$i, X932:$i, X933:$o, X934:$i, X935:$i, X936:$i, X937:$i, X938:$i, X939:$i, X940:$i]:((((~(in @ (esk1_2 @ X639 @ X640) @ X639)|~(in @ (esk1_2 @ X639 @ X640) @ X640)|((X639)=(X640)))&((in @ (esk1_2 @ X639 @ X640) @ X639)|(in @ (esk1_2 @ X639 @ X640) @ X640)|((X639)=(X640))))&(~(in @ X642 @ emptyset)&(((~(in @ X645 @ (setadjoin @ X643 @ X644))|(((X645)=(X643))|(in @ X645 @ X644)))&((((X645)!=(X643))|(in @ X645 @ (setadjoin @ X643 @ X644)))&(~(in @ X645 @ X644)|(in @ X645 @ (setadjoin @ X643 @ X644)))))&(((~(in @ X647 @ (powerset @ X646))|(~(in @ X648 @ X647)|(in @ X648 @ X646)))&(((in @ (esk2_2 @ X649 @ X650) @ X650)|(in @ X650 @ (powerset @ X649)))&(~(in @ (esk2_2 @ X649 @ X650) @ X649)|(in @ X650 @ (powerset @ X649)))))&(((((in @ X653 @ (esk3_2 @ X652 @ X653))|~(in @ X653 @ (setunion @ X652)))&((in @ (esk3_2 @ X652 @ X653) @ X652)|~(in @ X653 @ (setunion @ X652))))&(~(in @ X656 @ X657)|~(in @ X657 @ X655)|(in @ X656 @ (setunion @ X655))))&((in @ emptyset @ omega)&((~(in @ X658 @ omega)|(in @ (setadjoin @ X658 @ X658) @ omega))&(((((in @ (esk4_1 @ X659) @ omega)|~(in @ emptyset @ X659)|(~(in @ X661 @ omega)|(in @ X661 @ X659)))&((in @ (esk4_1 @ X659) @ X659)|~(in @ emptyset @ X659)|(~(in @ X661 @ omega)|(in @ X661 @ X659))))&(~(in @ (setadjoin @ (esk4_1 @ X659) @ (esk4_1 @ X659)) @ X659)|~(in @ emptyset @ X659)|(~(in @ X661 @ omega)|(in @ X661 @ X659))))&((((((in @ (esk8_3 @ X662 @ X663 @ X668) @ X663)|~(in @ X668 @ (esk7_2 @ X662 @ X663))|(in @ (esk5_2 @ X662 @ X663) @ X663))&((X662 @ (esk8_3 @ X662 @ X663 @ X668) @ X668)|~(in @ X668 @ (esk7_2 @ X662 @ X663))|(in @ (esk5_2 @ X662 @ X663) @ X663)))&(~(in @ X671 @ X663)|~(X662 @ X671 @ X670)|(in @ X670 @ (esk7_2 @ X662 @ X663))|(in @ (esk5_2 @ X662 @ X663) @ X663)))&(((((in @ (esk8_3 @ X662 @ X663 @ X668) @ X663)|~(in @ X668 @ (esk7_2 @ X662 @ X663))|((X662 @ (esk5_2 @ X662 @ X663) @ (esk6_3 @ X662 @ X663 @ X665))|~(X662 @ (esk5_2 @ X662 @ X663) @ X665)))&((X662 @ (esk8_3 @ X662 @ X663 @ X668) @ X668)|~(in @ X668 @ (esk7_2 @ X662 @ X663))|((X662 @ (esk5_2 @ X662 @ X663) @ (esk6_3 @ X662 @ X663 @ X665))|~(X662 @ (esk5_2 @ X662 @ X663) @ X665))))&(~(in @ X671 @ X663)|~(X662 @ X671 @ X670)|(in @ X670 @ (esk7_2 @ X662 @ X663))|((X662 @ (esk5_2 @ X662 @ X663) @ (esk6_3 @ X662 @ X663 @ X665))|~(X662 @ (esk5_2 @ X662 @ X663) @ X665))))&((((in @ (esk8_3 @ X662 @ X663 @ X668) @ X663)|~(in @ X668 @ (esk7_2 @ X662 @ X663))|(((X665)!=(esk6_3 @ X662 @ X663 @ X665))|~(X662 @ (esk5_2 @ X662 @ X663) @ X665)))&((X662 @ (esk8_3 @ X662 @ X663 @ X668) @ X668)|~(in @ X668 @ (esk7_2 @ X662 @ X663))|(((X665)!=(esk6_3 @ X662 @ X663 @ X665))|~(X662 @ (esk5_2 @ X662 @ X663) @ X665))))&(~(in @ X671 @ X663)|~(X662 @ X671 @ X670)|(in @ X670 @ (esk7_2 @ X662 @ X663))|(((X665)!=(esk6_3 @ X662 @ X663 @ X665))|~(X662 @ (esk5_2 @ X662 @ X663) @ X665))))))&((((in @ (esk9_1 @ X672) @ X672)|~(in @ X673 @ X672))&(~(in @ X675 @ (esk9_1 @ X672))|~(in @ X675 @ X672)|~(in @ X673 @ X672)))&((epred1_0)&((((X676 @ (esk10_2 @ X676 @ X677))|~(X676 @ X677)|(X676 @ (descr @ X676)))&(((X677)!=(esk10_2 @ X676 @ X677))|~(X676 @ X677)|(X676 @ (descr @ X676))))&((~(in @ X681 @ X679)|(~(X680 @ X681)|(in @ X681 @ (dsetconstr @ X679 @ X680))))&((~(in @ X684 @ (dsetconstr @ X682 @ X683))|(in @ X684 @ X682))&((~(in @ X687 @ (dsetconstr @ X685 @ X686))|(X686 @ X687))&(((((X688 @ (esk12_1 @ X688))|((X688 @ (esk11_2 @ X688 @ X689))|~(X688 @ X689)))&(~(X688 @ X692)|((esk12_1 @ X688)=(X692))|((X688 @ (esk11_2 @ X688 @ X689))|~(X688 @ X689))))&(((X688 @ (esk12_1 @ X688))|(((X689)!=(esk11_2 @ X688 @ X689))|~(X688 @ X689)))&(~(X688 @ X692)|((esk12_1 @ X688)=(X692))|(((X689)!=(esk11_2 @ X688 @ X689))|~(X688 @ X689)))))&((~(in @ X694 @ (prop2set @ ((X693))))|(X693))&((~(in @ X695 @ emptyset)|(X696))&((~(in @ X697 @ emptyset)|~($true))&(~(in @ X698 @ emptyset)&((((X699 @ (esk13_2 @ X699 @ X700))|~(X699 @ X700)|(X699 @ (esk14_1 @ X699)))&(((X700)!=(esk13_2 @ X699 @ X700))|~(X699 @ X700)|(X699 @ (esk14_1 @ X699))))&(((((in @ (esk16_2 @ X703 @ X704) @ X704)|((X703)=(X704))|(in @ (esk15_2 @ X703 @ X704) @ X703))&(~(in @ (esk16_2 @ X703 @ X704) @ X703)|((X703)=(X704))|(in @ (esk15_2 @ X703 @ X704) @ X703)))&(((in @ (esk16_2 @ X703 @ X704) @ X704)|((X703)=(X704))|~(in @ (esk15_2 @ X703 @ X704) @ X704))&(~(in @ (esk16_2 @ X703 @ X704) @ X703)|((X703)=(X704))|~(in @ (esk15_2 @ X703 @ X704) @ X704))))&(((in @ (esk17_1 @ X707) @ X707)|((X707)=(emptyset)))&(((in @ (esk18_1 @ X709) @ X709)|((X709)=(emptyset)))&(((~(in @ X713 @ (dsetconstr @ X711 @ X712))|(X712 @ X713)|~(in @ X713 @ X711))&(~(X712 @ X713)|(in @ X713 @ (dsetconstr @ X711 @ X712))|~(in @ X713 @ X711)))&((((X714)=(emptyset))|(in @ (esk19_1 @ X714) @ X714))&((~(in @ X718 @ X716)|(~(X717 @ X718)|((dsetconstr @ X716 @ X717)!=(emptyset))))&((~(in @ X720 @ X719)|((X719)!=(emptyset)))&((in @ X721 @ (setadjoin @ X721 @ X722))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X725 @ X724)|(in @ X725 @ (setadjoin @ X723 @ X724)))&(((((in @ X728 @ X727)|(X729)|((X728)=(X726))|~(in @ X728 @ (setadjoin @ X726 @ X727)))&(~(X729)|(X729)|((X728)=(X726))|~(in @ X728 @ (setadjoin @ X726 @ X727))))&(((in @ X728 @ X727)|(X729)|~(X729)|~(in @ X728 @ (setadjoin @ X726 @ X727)))&(~(X729)|(X729)|~(X729)|~(in @ X728 @ (setadjoin @ X726 @ X727)))))&((~(in @ X732 @ (setadjoin @ X730 @ X731))|(((X732)=(X730))|(in @ X732 @ X731)))&(((dsetconstr @ X733 @ (^[Z0/* 1 */:$i]:($true)))=(X733))&((((in @ (esk20_2 @ X734 @ X735) @ X735)|(in @ X735 @ (powerset @ X734)))&(~(in @ (esk20_2 @ X734 @ X735) @ X734)|(in @ X735 @ (powerset @ X734))))&((in @ emptyset @ (powerset @ X737))&((in @ emptyset @ (powerset @ X738))&((~(in @ X740 @ (powerset @ X739))|(~(in @ X741 @ X740)|(in @ X741 @ X739)))&((~(in @ X743 @ X744)|(~(in @ X744 @ X742)|(in @ X743 @ (setunion @ X742))))&((((in @ X746 @ (esk21_3 @ X745 @ X746 @ X747))|(X747)|~(in @ X746 @ (setunion @ X745)))&(((in @ (esk21_3 @ X745 @ X746 @ X747) @ X745)|(X747)|~(in @ X746 @ (setunion @ X745)))&(~(X747)|(X747)|~(in @ X746 @ (setunion @ X745)))))&((~(in @ X750 @ X749)|(in @ X750 @ (powerset @ (setunion @ X749))))&((((~(X751 @ X755)|((X755)=(esk23_1 @ X751))|((X751 @ (esk22_2 @ X751 @ X752))|~(X751 @ X752)))&(((X756)!=(esk23_1 @ X751))|(X751 @ X756)|((X751 @ (esk22_2 @ X751 @ X752))|~(X751 @ X752))))&((~(X751 @ X755)|((X755)=(esk23_1 @ X751))|(((X752)!=(esk22_2 @ X751 @ X752))|~(X751 @ X752)))&(((X756)!=(esk23_1 @ X751))|(X751 @ X756)|(((X752)!=(esk22_2 @ X751 @ X752))|~(X751 @ X752)))))&((((in @ (esk24_1 @ X757) @ X757)|((X757)=(emptyset)))&(($true)|((X757)=(emptyset))))&((~(in @ X759 @ (setadjoin @ X760 @ emptyset))|((X759)=(X760)))&((((X761)=(X762))|~(in @ X762 @ (setadjoin @ X761 @ emptyset)))&((((X763)!=(X764))|(in @ X763 @ (setadjoin @ X764 @ emptyset)))&((~(in @ X765 @ (setadjoin @ X766 @ emptyset))|(in @ X766 @ (setadjoin @ X765 @ emptyset)))&((~(in @ X769 @ (setadjoin @ X767 @ (setadjoin @ X768 @ emptyset)))|(((X769)=(X767))|((X769)=(X768))))&((in @ X770 @ (setadjoin @ X770 @ (setadjoin @ X771 @ emptyset)))&((in @ X773 @ (setadjoin @ X772 @ (setadjoin @ X773 @ emptyset)))&((~(in @ X776 @ X774)|~(X775 @ X776)|(((dsetconstr @ X774 @ X775)!=(emptyset))|~($true)))&((~(in @ X778 @ emptyset)|(X777 @ X778))&((((in @ (esk25_2 @ X779 @ X780) @ X779)|(~(in @ X781 @ X779)|(X780 @ X781)))&(~(X780 @ (esk25_2 @ X779 @ X780))|(~(in @ X781 @ X779)|(X780 @ X781))))&((((in @ (esk26_2 @ X783 @ X784) @ X783)|(~(in @ X786 @ X783)|~(X784 @ X786)))&((X784 @ (esk26_2 @ X783 @ X784))|(~(in @ X786 @ X783)|~(X784 @ X786))))&((((in @ (esk27_2 @ X787 @ X788) @ X787)|(~(in @ X790 @ X787)|~(X788 @ X790)))&((X788 @ (esk27_2 @ X787 @ X788))|(~(in @ X790 @ X787)|~(X788 @ X790))))&((((in @ (esk28_2 @ X791 @ X792) @ X791)|(~(in @ X793 @ X791)|(X792 @ X793)))&(~(X792 @ (esk28_2 @ X791 @ X792))|(~(in @ X793 @ X791)|(X792 @ X793))))&((~(X795)|(in @ emptyset @ (prop2set @ ((X795)))))&((prop2set2propI)&((((in @ (esk29_2 @ X796 @ X797) @ X796)|(~(in @ X799 @ X796)|~(X797 @ X799)))&((X797 @ (esk29_2 @ X796 @ X797))|(~(in @ X799 @ X796)|~(X797 @ X799))))&((((in @ (esk30_2 @ X800 @ X801) @ X800)|(~(in @ X802 @ X800)|(X801 @ X802)))&(~(X801 @ (esk30_2 @ X800 @ X801))|(~(in @ X802 @ X800)|(X801 @ X802))))&(((((X804 @ (esk32_1 @ X804))|((X804 @ (esk31_2 @ X804 @ X805))|~(X804 @ X805)))&(~(X804 @ X808)|((esk32_1 @ X804)=(X808))|((X804 @ (esk31_2 @ X804 @ X805))|~(X804 @ X805))))&(((X804 @ (esk32_1 @ X804))|(((X805)!=(esk31_2 @ X804 @ X805))|~(X804 @ X805)))&(~(X804 @ X808)|((esk32_1 @ X804)=(X808))|(((X805)!=(esk31_2 @ X804 @ X805))|~(X804 @ X805)))))&(((((X809 @ (esk35_1 @ X809))|(X809 @ (esk33_1 @ X809))|~(X809 @ X810))&(~(X809 @ X814)|((esk35_1 @ X809)=(X814))|(X809 @ (esk33_1 @ X809))|~(X809 @ X810)))&((((X809 @ (esk35_1 @ X809))|(X809 @ (esk34_1 @ X809))|~(X809 @ X810))&(~(X809 @ X814)|((esk35_1 @ X809)=(X814))|(X809 @ (esk34_1 @ X809))|~(X809 @ X810)))&(((X809 @ (esk35_1 @ X809))|((esk33_1 @ X809)!=(esk34_1 @ X809))|~(X809 @ X810))&(~(X809 @ X814)|((esk35_1 @ X809)=(X814))|((esk33_1 @ X809)!=(esk34_1 @ X809))|~(X809 @ X810)))))&(((((X815 @ (esk37_1 @ X815))|(~(X815 @ (esk36_2 @ X815 @ X816))|((esk36_2 @ X815 @ X816)!=(X816))))&(~(X815 @ X819)|((esk37_1 @ X815)=(X819))|(~(X815 @ (esk36_2 @ X815 @ X816))|((esk36_2 @ X815 @ X816)!=(X816)))))&(((X815 @ (esk37_1 @ X815))|((X815 @ (esk36_2 @ X815 @ X816))|((esk36_2 @ X815 @ X816)=(X816))))&(~(X815 @ X819)|((esk37_1 @ X815)=(X819))|((X815 @ (esk36_2 @ X815 @ X816))|((esk36_2 @ X815 @ X816)=(X816))))))&((((X820)!=(X821))|(((X822)!=(X823))|(~(in @ X822 @ X820)|(in @ X823 @ X821))))&(((~(in @ X826 @ X824)|(in @ X827 @ X825)|((X826)!=(X827))|((X824)!=(X825)))&(~(in @ X827 @ X825)|(in @ X826 @ X824)|((X826)!=(X827))|((X824)!=(X825))))&((((X828 @ (esk38_2 @ X828 @ X829))|~(X828 @ X829)|(~(X828 @ X831)|(~(X828 @ X832)|((X831)=(X832)))))&(((X829)!=(esk38_2 @ X828 @ X829))|~(X828 @ X829)|(~(X828 @ X831)|(~(X828 @ X832)|((X831)=(X832))))))&(((((((X834 @ (esk42_2 @ X833 @ X834))|((X833 @ (esk41_3 @ X833 @ X834 @ X837))|~(X833 @ X837))|((esk39_2 @ X833 @ X834)=(esk40_2 @ X833 @ X834)))&(~(X834 @ X840)|((esk42_2 @ X833 @ X834)=(X840))|((X833 @ (esk41_3 @ X833 @ X834 @ X837))|~(X833 @ X837))|((esk39_2 @ X833 @ X834)=(esk40_2 @ X833 @ X834))))&(((X834 @ (esk42_2 @ X833 @ X834))|(((X837)!=(esk41_3 @ X833 @ X834 @ X837))|~(X833 @ X837))|((esk39_2 @ X833 @ X834)=(esk40_2 @ X833 @ X834)))&(~(X834 @ X840)|((esk42_2 @ X833 @ X834)=(X840))|(((X837)!=(esk41_3 @ X833 @ X834 @ X837))|~(X833 @ X837))|((esk39_2 @ X833 @ X834)=(esk40_2 @ X833 @ X834)))))&((((X833 @ (esk44_2 @ X833 @ X834))|((X834 @ (esk43_3 @ X833 @ X834 @ X841))|~(X834 @ X841))|((esk39_2 @ X833 @ X834)=(esk40_2 @ X833 @ X834)))&(~(X833 @ X844)|((esk44_2 @ X833 @ X834)=(X844))|((X834 @ (esk43_3 @ X833 @ X834 @ X841))|~(X834 @ X841))|((esk39_2 @ X833 @ X834)=(esk40_2 @ X833 @ X834))))&(((X833 @ (esk44_2 @ X833 @ X834))|(((X841)!=(esk43_3 @ X833 @ X834 @ X841))|~(X834 @ X841))|((esk39_2 @ X833 @ X834)=(esk40_2 @ X833 @ X834)))&(~(X833 @ X844)|((esk44_2 @ X833 @ X834)=(X844))|(((X841)!=(esk43_3 @ X833 @ X834 @ X841))|~(X834 @ X841))|((esk39_2 @ X833 @ X834)=(esk40_2 @ X833 @ X834))))))&((((((X834 @ (esk42_2 @ X833 @ X834))|((X833 @ (esk41_3 @ X833 @ X834 @ X837))|~(X833 @ X837))|(~(X833 @ (esk39_2 @ X833 @ X834))|~(X834 @ (esk40_2 @ X833 @ X834))))&(~(X834 @ X840)|((esk42_2 @ X833 @ X834)=(X840))|((X833 @ (esk41_3 @ X833 @ X834 @ X837))|~(X833 @ X837))|(~(X833 @ (esk39_2 @ X833 @ X834))|~(X834 @ (esk40_2 @ X833 @ X834)))))&(((X834 @ (esk42_2 @ X833 @ X834))|(((X837)!=(esk41_3 @ X833 @ X834 @ X837))|~(X833 @ X837))|(~(X833 @ (esk39_2 @ X833 @ X834))|~(X834 @ (esk40_2 @ X833 @ X834))))&(~(X834 @ X840)|((esk42_2 @ X833 @ X834)=(X840))|(((X837)!=(esk41_3 @ X833 @ X834 @ X837))|~(X833 @ X837))|(~(X833 @ (esk39_2 @ X833 @ X834))|~(X834 @ (esk40_2 @ X833 @ X834))))))&((((X833 @ (esk44_2 @ X833 @ X834))|((X834 @ (esk43_3 @ X833 @ X834 @ X841))|~(X834 @ X841))|(~(X833 @ (esk39_2 @ X833 @ X834))|~(X834 @ (esk40_2 @ X833 @ X834))))&(~(X833 @ X844)|((esk44_2 @ X833 @ X834)=(X844))|((X834 @ (esk43_3 @ X833 @ X834 @ X841))|~(X834 @ X841))|(~(X833 @ (esk39_2 @ X833 @ X834))|~(X834 @ (esk40_2 @ X833 @ X834)))))&(((X833 @ (esk44_2 @ X833 @ X834))|(((X841)!=(esk43_3 @ X833 @ X834 @ X841))|~(X834 @ X841))|(~(X833 @ (esk39_2 @ X833 @ X834))|~(X834 @ (esk40_2 @ X833 @ X834))))&(~(X833 @ X844)|((esk44_2 @ X833 @ X834)=(X844))|(((X841)!=(esk43_3 @ X833 @ X834 @ X841))|~(X834 @ X841))|(~(X833 @ (esk39_2 @ X833 @ X834))|~(X834 @ (esk40_2 @ X833 @ X834)))))))&(((((X834 @ (esk42_2 @ X833 @ X834))|((X833 @ (esk41_3 @ X833 @ X834 @ X837))|~(X833 @ X837))|((X833 @ (esk39_2 @ X833 @ X834))|(X834 @ (esk40_2 @ X833 @ X834))))&(~(X834 @ X840)|((esk42_2 @ X833 @ X834)=(X840))|((X833 @ (esk41_3 @ X833 @ X834 @ X837))|~(X833 @ X837))|((X833 @ (esk39_2 @ X833 @ X834))|(X834 @ (esk40_2 @ X833 @ X834)))))&(((X834 @ (esk42_2 @ X833 @ X834))|(((X837)!=(esk41_3 @ X833 @ X834 @ X837))|~(X833 @ X837))|((X833 @ (esk39_2 @ X833 @ X834))|(X834 @ (esk40_2 @ X833 @ X834))))&(~(X834 @ X840)|((esk42_2 @ X833 @ X834)=(X840))|(((X837)!=(esk41_3 @ X833 @ X834 @ X837))|~(X833 @ X837))|((X833 @ (esk39_2 @ X833 @ X834))|(X834 @ (esk40_2 @ X833 @ X834))))))&((((X833 @ (esk44_2 @ X833 @ X834))|((X834 @ (esk43_3 @ X833 @ X834 @ X841))|~(X834 @ X841))|((X833 @ (esk39_2 @ X833 @ X834))|(X834 @ (esk40_2 @ X833 @ X834))))&(~(X833 @ X844)|((esk44_2 @ X833 @ X834)=(X844))|((X834 @ (esk43_3 @ X833 @ X834 @ X841))|~(X834 @ X841))|((X833 @ (esk39_2 @ X833 @ X834))|(X834 @ (esk40_2 @ X833 @ X834)))))&(((X833 @ (esk44_2 @ X833 @ X834))|(((X841)!=(esk43_3 @ X833 @ X834 @ X841))|~(X834 @ X841))|((X833 @ (esk39_2 @ X833 @ X834))|(X834 @ (esk40_2 @ X833 @ X834))))&(~(X833 @ X844)|((esk44_2 @ X833 @ X834)=(X844))|(((X841)!=(esk43_3 @ X833 @ X834 @ X841))|~(X834 @ X841))|((X833 @ (esk39_2 @ X833 @ X834))|(X834 @ (esk40_2 @ X833 @ X834)))))))))&(((emptyset)=(emptyset))&((((X845)!=(X846))|(((X847)!=(X848))|((setadjoin @ X845 @ X847)=(setadjoin @ X846 @ X848))))&((((X849)!=(X850))|((powerset @ X849)=(powerset @ X850)))&((((X851)!=(X852))|((setunion @ X851)=(setunion @ X852)))&(((omega)=(omega))&((((X853 @ (esk45_2 @ X853 @ X854))|~(X853 @ X854)|(~(X853 @ X856)|(~(X853 @ X857)|((X856)=(X857)))))&(((X854)!=(esk45_2 @ X853 @ X854))|~(X853 @ X854)|(~(X853 @ X856)|(~(X853 @ X857)|((X856)=(X857))))))&((((((X859 @ (esk49_3 @ X858 @ X859 @ X864))|~(X859 @ X864)|((descr @ X858)=(descr @ X859))|((X858 @ (esk48_3 @ X858 @ X859 @ X862))|~(X858 @ X862))|((esk46_2 @ X858 @ X859)=(esk47_2 @ X858 @ X859)))&(((X864)!=(esk49_3 @ X858 @ X859 @ X864))|~(X859 @ X864)|((descr @ X858)=(descr @ X859))|((X858 @ (esk48_3 @ X858 @ X859 @ X862))|~(X858 @ X862))|((esk46_2 @ X858 @ X859)=(esk47_2 @ X858 @ X859))))&(((X859 @ (esk49_3 @ X858 @ X859 @ X864))|~(X859 @ X864)|((descr @ X858)=(descr @ X859))|(((X862)!=(esk48_3 @ X858 @ X859 @ X862))|~(X858 @ X862))|((esk46_2 @ X858 @ X859)=(esk47_2 @ X858 @ X859)))&(((X864)!=(esk49_3 @ X858 @ X859 @ X864))|~(X859 @ X864)|((descr @ X858)=(descr @ X859))|(((X862)!=(esk48_3 @ X858 @ X859 @ X862))|~(X858 @ X862))|((esk46_2 @ X858 @ X859)=(esk47_2 @ X858 @ X859)))))&(((((X859 @ (esk49_3 @ X858 @ X859 @ X864))|~(X859 @ X864)|((descr @ X858)=(descr @ X859))|((X858 @ (esk48_3 @ X858 @ X859 @ X862))|~(X858 @ X862))|(~(X858 @ (esk46_2 @ X858 @ X859))|~(X859 @ (esk47_2 @ X858 @ X859))))&(((X864)!=(esk49_3 @ X858 @ X859 @ X864))|~(X859 @ X864)|((descr @ X858)=(descr @ X859))|((X858 @ (esk48_3 @ X858 @ X859 @ X862))|~(X858 @ X862))|(~(X858 @ (esk46_2 @ X858 @ X859))|~(X859 @ (esk47_2 @ X858 @ X859)))))&(((X859 @ (esk49_3 @ X858 @ X859 @ X864))|~(X859 @ X864)|((descr @ X858)=(descr @ X859))|(((X862)!=(esk48_3 @ X858 @ X859 @ X862))|~(X858 @ X862))|(~(X858 @ (esk46_2 @ X858 @ X859))|~(X859 @ (esk47_2 @ X858 @ X859))))&(((X864)!=(esk49_3 @ X858 @ X859 @ X864))|~(X859 @ X864)|((descr @ X858)=(descr @ X859))|(((X862)!=(esk48_3 @ X858 @ X859 @ X862))|~(X858 @ X862))|(~(X858 @ (esk46_2 @ X858 @ X859))|~(X859 @ (esk47_2 @ X858 @ X859))))))&((((X859 @ (esk49_3 @ X858 @ X859 @ X864))|~(X859 @ X864)|((descr @ X858)=(descr @ X859))|((X858 @ (esk48_3 @ X858 @ X859 @ X862))|~(X858 @ X862))|((X858 @ (esk46_2 @ X858 @ X859))|(X859 @ (esk47_2 @ X858 @ X859))))&(((X864)!=(esk49_3 @ X858 @ X859 @ X864))|~(X859 @ X864)|((descr @ X858)=(descr @ X859))|((X858 @ (esk48_3 @ X858 @ X859 @ X862))|~(X858 @ X862))|((X858 @ (esk46_2 @ X858 @ X859))|(X859 @ (esk47_2 @ X858 @ X859)))))&(((X859 @ (esk49_3 @ X858 @ X859 @ X864))|~(X859 @ X864)|((descr @ X858)=(descr @ X859))|(((X862)!=(esk48_3 @ X858 @ X859 @ X862))|~(X858 @ X862))|((X858 @ (esk46_2 @ X858 @ X859))|(X859 @ (esk47_2 @ X858 @ X859))))&(((X864)!=(esk49_3 @ X858 @ X859 @ X864))|~(X859 @ X864)|((descr @ X858)=(descr @ X859))|(((X862)!=(esk48_3 @ X858 @ X859 @ X862))|~(X858 @ X862))|((X858 @ (esk46_2 @ X858 @ X859))|(X859 @ (esk47_2 @ X858 @ X859))))))))&((((in @ (esk50_4 @ X866 @ X867 @ X868 @ X869) @ X866)|((dsetconstr @ X866 @ X868)=(dsetconstr @ X867 @ X869))|((X866)!=(X867)))&(((in @ (esk51_4 @ X866 @ X867 @ X868 @ X869) @ X867)|((dsetconstr @ X866 @ X868)=(dsetconstr @ X867 @ X869))|((X866)!=(X867)))&((((esk50_4 @ X866 @ X867 @ X868 @ X869)=(esk51_4 @ X866 @ X867 @ X868 @ X869))|((dsetconstr @ X866 @ X868)=(dsetconstr @ X867 @ X869))|((X866)!=(X867)))&((~(X868 @ (esk50_4 @ X866 @ X867 @ X868 @ X869))|~(X869 @ (esk51_4 @ X866 @ X867 @ X868 @ X869))|((dsetconstr @ X866 @ X868)=(dsetconstr @ X867 @ X869))|((X866)!=(X867)))&((X868 @ (esk50_4 @ X866 @ X867 @ X868 @ X869))|(X869 @ (esk51_4 @ X866 @ X867 @ X868 @ X869))|((dsetconstr @ X866 @ X868)=(dsetconstr @ X867 @ X869))|((X866)!=(X867)))))))&((((in @ (esk52_2 @ X872 @ X873) @ X872)|(subset @ X872 @ X873))&(~(in @ (esk52_2 @ X872 @ X873) @ X873)|(subset @ X872 @ X873)))&((((X875)!=(X876))|(subset @ X876 @ X875))&((((X877)!=(X878))|(subset @ X877 @ X878))&((((in @ (esk53_2 @ X879 @ X880) @ X879)|(subset @ X879 @ X880))&(~(in @ (esk53_2 @ X879 @ X880) @ X880)|(subset @ X879 @ X880)))&((subset @ emptyset @ X882)&((~(subset @ X883 @ X884)|(~(in @ X885 @ X883)|(in @ X885 @ X884)))&((~(subset @ X886 @ X887)|((in @ X888 @ X887)|~(in @ X888 @ X886)))&((~(in @ X891 @ X889)|((in @ X891 @ X890)|~(subset @ X889 @ X890)))&(((subset @ X892 @ X893)|((X892)!=(X893)))&((~(in @ X896 @ X894)|((in @ X896 @ X895)|((X894)!=(X895))))&((subset @ X897 @ X897)&((~(subset @ X898 @ X899)|(~(subset @ X899 @ X900)|(subset @ X898 @ X900)))&((subset @ X902 @ (setadjoin @ X901 @ X902))&((~(subset @ X903 @ X905)|(subset @ X903 @ (setadjoin @ X904 @ X905)))&((~(subset @ X906 @ X907)|(in @ X906 @ (powerset @ X907)))&((~(subset @ X908 @ X909)|(~(subset @ X909 @ X908)|((X908)=(X909))))&((~(subset @ X910 @ emptyset)|((X910)=(emptyset)))&((~(subset @ X912 @ X911)|(in @ X912 @ (powerset @ X911)))&((~(in @ X914 @ (powerset @ X913))|(subset @ X914 @ X913))&((in @ X915 @ (powerset @ X915))&((~(subset @ X916 @ X917)|(subset @ (powerset @ X916) @ (powerset @ X917)))&((in @ (dsetconstr @ X918 @ X919) @ (powerset @ X918))&((subset @ (dsetconstr @ X920 @ X921) @ X920)&((~(in @ X924 @ X922)|(in @ X924 @ (binunion @ X922 @ X923)))&((in @ X926 @ (setadjoin @ X925 @ (setadjoin @ X926 @ emptyset)))&((~(in @ X929 @ X928)|(in @ X929 @ (binunion @ X927 @ X928)))&(((((in @ X932 @ X931)|(X933)|(in @ X932 @ X930)|~(in @ X932 @ (binunion @ X930 @ X931)))&(~(X933)|(X933)|(in @ X932 @ X930)|~(in @ X932 @ (binunion @ X930 @ X931))))&(((in @ X932 @ X931)|(X933)|~(X933)|~(in @ X932 @ (binunion @ X930 @ X931)))&(~(X933)|(X933)|~(X933)|~(in @ X932 @ (binunion @ X930 @ X931)))))&((~(in @ X936 @ (binunion @ X934 @ X935))|((in @ X936 @ X934)|(in @ X936 @ X935)))&((subset @ X937 @ (binunion @ X937 @ X938))&((subset @ X940 @ (binunion @ X939 @ X940))&((in @ esk56_0 @ esk54_0)&((in @ esk56_0 @ esk55_0)&~(in @ esk56_0 @ (dsetconstr @ esk54_0 @ (^[Z0/* 3 */:$i]:((in @ Z0 @ esk55_0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[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_150])])])])])])])).
44.31/180.07	thf(c_0_152, negated_conjecture, ~((in @ esk56_0 @ (dsetconstr @ esk54_0 @ (^[Z0/* 3 */:$i]:((in @ Z0 @ esk55_0)))))), inference(split_conjunct,[status(thm)],[c_0_151])).
44.31/180.07	thf(c_0_153, negated_conjecture, ![X1:$i > $o, X2:$i, X3:$i]:(((in @ X2 @ (dsetconstr @ X3 @ X1))|~((X1 @ X2))|~((in @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_151])).
44.31/180.07	thf(c_0_154, negated_conjecture, (in @ esk56_0 @ esk54_0), inference(split_conjunct,[status(thm)],[c_0_151])).
44.31/180.07	thf(c_0_155, negated_conjecture, (in @ esk56_0 @ esk55_0), inference(split_conjunct,[status(thm)],[c_0_151])).
44.31/180.07	thf(c_0_156, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152, c_0_153]), c_0_154]), c_0_155])]), ['proof']).
44.31/180.07	# SZS output end CNFRefutation
44.31/180.07	# Parsed axioms                        : 231
44.31/180.07	# Removed by relevancy pruning/SinE    : 123
44.31/180.07	# Initial clauses                      : 221
44.31/180.07	# Removed in clause preprocessing      : 17
44.31/180.07	# Initial clauses in saturation        : 204
44.31/180.07	# Processed clauses                    : 318
44.31/180.07	# ...of these trivial                  : 5
44.31/180.07	# ...subsumed                          : 30
44.31/180.07	# ...remaining for further processing  : 283
44.31/180.07	# Other redundant clauses eliminated   : 14
44.31/180.07	# Clauses deleted for lack of memory   : 0
44.31/180.07	# Backward-subsumed                    : 0
44.31/180.07	# Backward-rewritten                   : 3
44.31/180.07	# Generated clauses                    : 463
44.31/180.07	# ...of the previous two non-redundant : 406
44.31/180.07	# ...aggressively subsumed             : 0
44.31/180.07	# Contextual simplify-reflections      : 0
44.31/180.07	# Paramodulations                      : 449
44.31/180.07	# Factorizations                       : 0
44.31/180.07	# NegExts                              : 0
44.31/180.07	# Equation resolutions                 : 14
44.31/180.07	# Disequality decompositions           : 0
44.31/180.07	# Total rewrite steps                  : 58
44.31/180.07	# ...of those cached                   : 33
44.31/180.07	# Propositional unsat checks           : 0
44.31/180.07	#    Propositional check models        : 0
44.31/180.07	#    Propositional check unsatisfiable : 0
44.31/180.07	#    Propositional clauses             : 0
44.31/180.07	#    Propositional clauses after purity: 0
44.31/180.07	#    Propositional unsat core size     : 0
44.31/180.07	#    Propositional preprocessing time  : 0.000
44.31/180.07	#    Propositional encoding time       : 0.000
44.31/180.07	#    Propositional solver time         : 0.000
44.31/180.07	#    Success case prop preproc time    : 0.000
44.31/180.07	#    Success case prop encoding time   : 0.000
44.31/180.07	#    Success case prop solver time     : 0.000
44.31/180.07	# Current number of processed clauses  : 90
44.31/180.07	#    Positive orientable unit clauses  : 25
44.31/180.07	#    Positive unorientable unit clauses: 0
44.31/180.07	#    Negative unit clauses             : 2
44.31/180.07	#    Non-unit-clauses                  : 63
44.31/180.07	# Current number of unprocessed clauses: 457
44.31/180.07	# ...number of literals in the above   : 1316
44.31/180.07	# Current number of archived formulas  : 0
44.31/180.07	# Current number of archived clauses   : 180
44.31/180.07	# Clause-clause subsumption calls (NU) : 6727
44.31/180.07	# Rec. Clause-clause subsumption calls : 2006
44.31/180.07	# Non-unit clause-clause subsumptions  : 20
44.31/180.07	# Unit Clause-clause subsumption calls : 85
44.31/180.07	# Rewrite failures with RHS unbound    : 0
44.31/180.07	# BW rewrite match attempts            : 11
44.31/180.07	# BW rewrite match successes           : 3
44.31/180.07	# Condensation attempts                : 318
44.31/180.07	# Condensation successes               : 3
44.31/180.07	# Termbank termtop insertions          : 37459
44.31/180.07	# Search garbage collected termcells   : 11125
44.31/180.07	
44.31/180.07	# -------------------------------------------------
44.31/180.07	# User time                : 0.052 s
44.31/180.07	# System time              : 0.010 s
44.31/180.07	# Total time               : 0.062 s
44.31/180.07	# Maximum resident set size: 4820 pages
44.31/180.07	
44.31/180.07	# -------------------------------------------------
44.31/180.07	# User time                : 0.056 s
44.31/180.07	# System time              : 0.015 s
44.31/180.07	# Total time               : 0.070 s
44.31/180.07	# Maximum resident set size: 2048 pages
44.31/180.07	% E---3.1 exiting
44.31/180.07	% E exiting
44.31/180.07	EOF