0.05/0.11	% Problem    : Vampire---4.8_21203 : TPTP v0.0.0. Released v0.0.0.
0.05/0.12	% Command    : run_E %s %d THM
0.11/0.32	% Computer : n007.cluster.edu
0.11/0.32	% Model    : x86_64 x86_64
0.11/0.32	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.32	% Memory   : 8042.1875MB
0.11/0.32	% OS       : Linux 3.10.0-693.el7.x86_64
0.11/0.32	% CPULimit   : 1440
0.11/0.32	% WCLimit    : 180
0.11/0.32	% DateTime   : Mon Jul  3 12:48:28 EDT 2023
0.11/0.32	% CPUTime    : 
0.16/0.45	Running higher-order theorem provingRunning: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203
0.16/0.45	# Version: 3.1pre001-ho
0.16/0.50	# Preprocessing class: HSMMSLSSLLLCHSA.
0.16/0.50	# Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.16/0.50	# Starting new_ho_10 with 900s (5) cores
0.16/0.50	# Starting sh5l with 180s (1) cores
0.16/0.50	# Starting new_bool_1 with 180s (1) cores
0.16/0.50	# Starting new_bool_2 with 180s (1) cores
0.16/0.50	# new_bool_1 with pid 21383 completed with status 0
0.16/0.50	# Result found by new_bool_1
0.16/0.50	# Preprocessing class: HSMMSLSSLLLCHSA.
0.16/0.50	# Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.16/0.50	# Starting new_ho_10 with 900s (5) cores
0.16/0.50	# Starting sh5l with 180s (1) cores
0.16/0.50	# Starting new_bool_1 with 180s (1) cores
0.16/0.50	# SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
0.16/0.50	# Search class: HGHSM-FSLS31-SHSMMSBN
0.16/0.50	# Scheduled 5 strats onto 1 cores with 180 seconds (180 total)
0.16/0.50	# Starting new_ho_10 with 109s (1) cores
0.16/0.50	# new_ho_10 with pid 21385 completed with status 0
0.16/0.50	# Result found by new_ho_10
0.16/0.50	# Preprocessing class: HSMMSLSSLLLCHSA.
0.16/0.50	# Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.16/0.50	# Starting new_ho_10 with 900s (5) cores
0.16/0.50	# Starting sh5l with 180s (1) cores
0.16/0.50	# Starting new_bool_1 with 180s (1) cores
0.16/0.50	# SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
0.16/0.50	# Search class: HGHSM-FSLS31-SHSMMSBN
0.16/0.50	# Scheduled 5 strats onto 1 cores with 180 seconds (180 total)
0.16/0.50	# Starting new_ho_10 with 109s (1) cores
0.16/0.50	# Preprocessing time       : 0.004 s
0.16/0.50	# Presaturation interreduction done
0.16/0.50	
0.16/0.50	# Proof found!
0.16/0.50	# SZS status Theorem
0.16/0.50	# SZS output start CNFRefutation
0.16/0.50	thf(decl_22, type, in: $i > $i > $o).
0.16/0.50	thf(decl_23, type, exu: ($i > $o) > $o).
0.16/0.50	thf(decl_24, type, setextAx: $o).
0.16/0.50	thf(decl_25, type, emptyset: $i).
0.16/0.50	thf(decl_26, type, emptysetAx: $o).
0.16/0.50	thf(decl_27, type, setadjoin: $i > $i > $i).
0.16/0.50	thf(decl_28, type, setadjoinAx: $o).
0.16/0.50	thf(decl_29, type, powerset: $i > $i).
0.16/0.50	thf(decl_30, type, powersetAx: $o).
0.16/0.50	thf(decl_31, type, setunion: $i > $i).
0.16/0.50	thf(decl_32, type, setunionAx: $o).
0.16/0.50	thf(decl_33, type, omega: $i).
0.16/0.50	thf(decl_34, type, omega0Ax: $o).
0.16/0.50	thf(decl_35, type, omegaSAx: $o).
0.16/0.50	thf(decl_36, type, omegaIndAx: $o).
0.16/0.50	thf(decl_37, type, replAx: $o).
0.16/0.50	thf(decl_38, type, foundationAx: $o).
0.16/0.50	thf(decl_39, type, wellorderingAx: $o).
0.16/0.50	thf(decl_40, type, descr: ($i > $o) > $i).
0.16/0.50	thf(decl_41, type, descrp: $o).
0.16/0.50	thf(decl_42, type, dsetconstr: $i > ($i > $o) > $i).
0.16/0.50	thf(decl_43, type, dsetconstrI: $o).
0.16/0.50	thf(decl_44, type, dsetconstrEL: $o).
0.16/0.50	thf(decl_45, type, dsetconstrER: $o).
0.16/0.50	thf(decl_46, type, exuE1: $o).
0.16/0.50	thf(decl_47, type, prop2set: $o > $i).
0.16/0.50	thf(decl_48, type, prop2setE: $o).
0.16/0.50	thf(decl_49, type, emptysetE: $o).
0.16/0.50	thf(decl_50, type, emptysetimpfalse: $o).
0.16/0.50	thf(decl_51, type, notinemptyset: $o).
0.16/0.50	thf(decl_52, type, exuE3e: $o).
0.16/0.50	thf(decl_53, type, setext: $o).
0.16/0.50	thf(decl_54, type, emptyI: $o).
0.16/0.50	thf(decl_55, type, noeltsimpempty: $o).
0.16/0.50	thf(decl_56, type, setbeta: $o).
0.16/0.50	thf(decl_57, type, nonempty: $i > $o).
0.16/0.50	thf(decl_58, type, nonemptyE1: $o).
0.16/0.50	thf(decl_59, type, nonemptyI: $o).
0.16/0.50	thf(decl_60, type, nonemptyI1: $o).
0.16/0.50	thf(decl_61, type, setadjoinIL: $o).
0.16/0.50	thf(decl_62, type, emptyinunitempty: $o).
0.16/0.50	thf(decl_63, type, setadjoinIR: $o).
0.16/0.50	thf(decl_64, type, setadjoinE: $o).
0.16/0.50	thf(decl_65, type, setadjoinOr: $o).
0.16/0.50	thf(decl_66, type, setoftrueEq: $o).
0.16/0.50	thf(decl_67, type, powersetI: $o).
0.16/0.50	thf(decl_68, type, emptyinPowerset: $o).
0.16/0.50	thf(decl_69, type, emptyInPowerset: $o).
0.16/0.50	thf(decl_70, type, powersetE: $o).
0.16/0.50	thf(decl_71, type, setunionI: $o).
0.16/0.50	thf(decl_72, type, setunionE: $o).
0.16/0.50	thf(decl_73, type, subPowSU: $o).
0.16/0.50	thf(decl_74, type, exuE2: $o).
0.16/0.50	thf(decl_75, type, nonemptyImpWitness: $o).
0.16/0.50	thf(decl_76, type, uniqinunit: $o).
0.16/0.50	thf(decl_77, type, notinsingleton: $o).
0.16/0.50	thf(decl_78, type, eqinunit: $o).
0.16/0.50	thf(decl_79, type, singletonsswitch: $o).
0.16/0.50	thf(decl_80, type, upairsetE: $o).
0.16/0.50	thf(decl_81, type, upairsetIL: $o).
0.16/0.50	thf(decl_82, type, upairsetIR: $o).
0.16/0.50	thf(decl_83, type, emptyE1: $o).
0.16/0.50	thf(decl_84, type, vacuousDall: $o).
0.16/0.50	thf(decl_85, type, quantDeMorgan1: $o).
0.16/0.50	thf(decl_86, type, quantDeMorgan2: $o).
0.16/0.50	thf(decl_87, type, quantDeMorgan3: $o).
0.16/0.50	thf(decl_88, type, quantDeMorgan4: $o).
0.16/0.50	thf(decl_89, type, prop2setI: $o).
0.16/0.50	thf(decl_91, type, prop2set2propI: $o).
0.16/0.50	thf(decl_92, type, notdexE: $o).
0.16/0.50	thf(decl_93, type, notdallE: $o).
0.16/0.50	thf(decl_94, type, exuI1: $o).
0.16/0.50	thf(decl_95, type, exuI3: $o).
0.16/0.50	thf(decl_96, type, exuI2: $o).
0.16/0.50	thf(decl_97, type, inCongP: $o).
0.16/0.50	thf(decl_98, type, in__Cong: $o).
0.16/0.50	thf(decl_99, type, exuE3u: $o).
0.16/0.50	thf(decl_100, type, exu__Cong: $o).
0.16/0.50	thf(decl_101, type, emptyset__Cong: $o).
0.16/0.50	thf(decl_102, type, setadjoin__Cong: $o).
0.16/0.50	thf(decl_103, type, powerset__Cong: $o).
0.16/0.50	thf(decl_104, type, setunion__Cong: $o).
0.16/0.50	thf(decl_105, type, omega__Cong: $o).
0.16/0.50	thf(decl_106, type, exuEu: $o).
0.16/0.50	thf(decl_107, type, descr__Cong: $o).
0.16/0.50	thf(decl_108, type, dsetconstr__Cong: $o).
0.16/0.50	thf(decl_109, type, subset: $i > $i > $o).
0.16/0.50	thf(decl_112, type, subsetI1: $o).
0.16/0.50	thf(decl_113, type, eqimpsubset2: $o).
0.16/0.50	thf(decl_114, type, eqimpsubset1: $o).
0.16/0.50	thf(decl_115, type, subsetI2: $o).
0.16/0.50	thf(decl_116, type, emptysetsubset: $o).
0.16/0.50	thf(decl_117, type, subsetE: $o).
0.16/0.50	thf(decl_118, type, subsetE2: $o).
0.16/0.50	thf(decl_119, type, notsubsetI: $o).
0.16/0.50	thf(decl_120, type, notequalI1: $o).
0.16/0.50	thf(decl_121, type, notequalI2: $o).
0.16/0.50	thf(decl_122, type, subsetRefl: $o).
0.16/0.50	thf(decl_123, type, subsetTrans: $o).
0.16/0.50	thf(decl_124, type, setadjoinSub: $o).
0.16/0.50	thf(decl_125, type, setadjoinSub2: $o).
0.16/0.50	thf(decl_126, type, subset2powerset: $o).
0.16/0.50	thf(decl_127, type, setextsub: $o).
0.16/0.50	thf(decl_128, type, subsetemptysetimpeq: $o).
0.16/0.50	thf(decl_129, type, powersetI1: $o).
0.16/0.50	thf(decl_130, type, powersetE1: $o).
0.16/0.50	thf(decl_131, type, inPowerset: $o).
0.16/0.50	thf(decl_132, type, powersetsubset: $o).
0.16/0.50	thf(decl_133, type, sepInPowerset: $o).
0.16/0.50	thf(decl_134, type, epred1_0: $o).
0.16/0.50	thf(decl_135, type, esk1_2: $i > $i > $i).
0.16/0.50	thf(decl_136, type, esk2_2: $i > $i > $i).
0.16/0.50	thf(decl_137, type, esk3_2: $i > $i > $i).
0.16/0.50	thf(decl_138, type, esk4_1: $i > $i).
0.16/0.50	thf(decl_139, type, esk5_2: ($i > $i > $o) > $i > $i).
0.16/0.50	thf(decl_140, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
0.16/0.50	thf(decl_141, type, esk7_2: ($i > $i > $o) > $i > $i).
0.16/0.50	thf(decl_142, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
0.16/0.50	thf(decl_143, type, esk9_1: $i > $i).
0.16/0.50	thf(decl_144, type, esk10_2: ($i > $o) > $i > $i).
0.16/0.50	thf(decl_145, type, esk11_2: ($i > $o) > $i > $i).
0.16/0.50	thf(decl_146, type, esk12_1: ($i > $o) > $i).
0.16/0.50	thf(decl_147, type, esk13_2: ($i > $o) > $i > $i).
0.16/0.50	thf(decl_148, type, esk14_1: ($i > $o) > $i).
0.16/0.50	thf(decl_149, type, esk15_2: $i > $i > $i).
0.16/0.50	thf(decl_150, type, esk16_2: $i > $i > $i).
0.16/0.50	thf(decl_151, type, esk17_1: $i > $i).
0.16/0.50	thf(decl_152, type, esk18_1: $i > $i).
0.16/0.50	thf(decl_153, type, esk19_1: $i > $i).
0.16/0.50	thf(decl_154, type, esk20_2: $i > $i > $i).
0.16/0.50	thf(decl_155, type, esk21_3: $i > $i > $o > $i).
0.16/0.50	thf(decl_156, type, esk22_2: ($i > $o) > $i > $i).
0.16/0.50	thf(decl_157, type, esk23_1: ($i > $o) > $i).
0.16/0.50	thf(decl_158, type, esk24_1: $i > $i).
0.16/0.50	thf(decl_159, type, esk25_2: $i > ($i > $o) > $i).
0.16/0.50	thf(decl_160, type, esk26_2: $i > ($i > $o) > $i).
0.16/0.50	thf(decl_161, type, esk27_2: $i > ($i > $o) > $i).
0.16/0.50	thf(decl_162, type, esk28_2: $i > ($i > $o) > $i).
0.16/0.50	thf(decl_163, type, esk29_2: $i > ($i > $o) > $i).
0.16/0.50	thf(decl_164, type, esk30_2: $i > ($i > $o) > $i).
0.16/0.50	thf(decl_165, type, esk31_2: ($i > $o) > $i > $i).
0.16/0.50	thf(decl_166, type, esk32_1: ($i > $o) > $i).
0.16/0.50	thf(decl_167, type, esk33_1: ($i > $o) > $i).
0.16/0.50	thf(decl_168, type, esk34_1: ($i > $o) > $i).
0.16/0.50	thf(decl_169, type, esk35_1: ($i > $o) > $i).
0.16/0.50	thf(decl_170, type, esk36_2: ($i > $o) > $i > $i).
0.16/0.50	thf(decl_171, type, esk37_1: ($i > $o) > $i).
0.16/0.50	thf(decl_172, type, esk38_2: ($i > $o) > $i > $i).
0.16/0.50	thf(decl_173, type, esk39_2: ($i > $o) > ($i > $o) > $i).
0.16/0.50	thf(decl_174, type, esk40_2: ($i > $o) > ($i > $o) > $i).
0.16/0.50	thf(decl_175, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
0.16/0.50	thf(decl_176, type, esk42_2: ($i > $o) > ($i > $o) > $i).
0.16/0.50	thf(decl_177, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
0.16/0.50	thf(decl_178, type, esk44_2: ($i > $o) > ($i > $o) > $i).
0.16/0.50	thf(decl_179, type, esk45_2: ($i > $o) > $i > $i).
0.16/0.50	thf(decl_180, type, esk46_2: ($i > $o) > ($i > $o) > $i).
0.16/0.50	thf(decl_181, type, esk47_2: ($i > $o) > ($i > $o) > $i).
0.16/0.50	thf(decl_182, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
0.16/0.50	thf(decl_183, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
0.16/0.50	thf(decl_184, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
0.16/0.50	thf(decl_185, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
0.16/0.50	thf(decl_186, type, esk52_2: $i > $i > $i).
0.16/0.50	thf(decl_187, type, esk53_2: $i > $i > $i).
0.16/0.50	thf(decl_188, type, esk54_0: $i).
0.16/0.50	thf(decl_189, type, epred2_0: $i > $o).
0.16/0.50	thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', nonempty)).
0.16/0.50	thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', exuI3)).
0.16/0.50	thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', exu)).
0.16/0.50	thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', exuI2)).
0.16/0.50	thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', replAx)).
0.16/0.50	thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', exu__Cong)).
0.16/0.50	thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', exuEu)).
0.16/0.50	thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))=>((exu @ (^[X2:$i]:((X17 @ X2))))=>((descr @ (^[X2:$i]:((X1 @ X2))))=(descr @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', descr__Cong)).
0.16/0.50	thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', exuE3u)).
0.16/0.50	thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', exuI1)).
0.16/0.50	thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', exuE2)).
0.16/0.50	thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', nonemptyI)).
0.16/0.50	thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', exuE3e)).
0.16/0.50	thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', exuE1)).
0.16/0.50	thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', descrp)).
0.16/0.50	thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', setoftrueEq)).
0.16/0.50	thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', nonemptyI1)).
0.16/0.50	thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(dsetconstr @ X5 @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', dsetconstr__Cong)).
0.16/0.50	thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', sepInPowerset)).
0.16/0.50	thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', emptyE1)).
0.16/0.50	thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', nonemptyImpWitness)).
0.16/0.50	thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', nonemptyE1)).
0.16/0.50	thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', setbeta)).
0.16/0.50	thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', dsetconstrER)).
0.16/0.50	thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', dsetconstrEL)).
0.16/0.50	thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', dsetconstrI)).
0.16/0.50	thf(sepSubset, conjecture, ((setextAx)=>(((setadjoinAx)=>((powersetAx)=>(((omega0Ax)=>(((((foundationAx)=>(((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((((emptysetimpfalse)=>(((exuE3e)=>(((((setbeta)=>((nonemptyE1)=>((nonemptyI)=>(((setadjoinIL)=>((emptyinunitempty)=>(((setadjoinE)=>((((powersetI)=>((emptyinPowerset)=>((((setunionI)=>(((((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>(((singletonsswitch)=>((upairsetE)=>((((emptyE1)=>(((quantDeMorgan1)=>((((((prop2set2propI)=>(((notdallE)=>(((exuI3)=>((exuI2)=>(((in__Cong)=>(((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>(((((exuEu)=>(((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>(((emptysetsubset)=>((((notsubsetI)=>(((((subsetTrans)=>(((((setextsub)=>((subsetemptysetimpeq)=>((((inPowerset)=>((powersetsubset)=>(![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))<=(sepInPowerset))))<=(powersetE1))<=(powersetI1))))<=(subset2powerset))<=(setadjoinSub2))<=(setadjoinSub)))<=(subsetRefl))<=(notequalI2))<=(notequalI1)))<=(subsetE2))<=(subsetE)))<=(subsetI2))))))<=(descr__Cong)))<=(omega__Cong))<=(setunion__Cong))<=(powerset__Cong)))))<=(exuE3u)))<=(inCongP))))<=(exuI1)))<=(notdexE)))<=(prop2setI))<=(quantDeMorgan4))<=(quantDeMorgan3))<=(quantDeMorgan2)))<=(vacuousDall)))<=(upairsetIR))<=(upairsetIL))))<=(eqinunit)))))<=(exuE2))<=(subPowSU))<=(setunionE)))<=(powersetE))<=(emptyInPowerset))))<=(setoftrueEq))<=(setadjoinOr)))<=(setadjoinIR))))<=(nonemptyI1)))))<=(noeltsimpempty))<=(emptyI))<=(setext)))<=(notinemptyset)))<=(emptysetE))<=(prop2setE)))))))<=(wellorderingAx)))<=(replAx))<=(omegaIndAx))<=(omegaSAx)))<=(setunionAx))))<=(emptysetAx))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', sepSubset)).
0.16/0.50	thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', notinsingleton)).
0.16/0.50	thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', emptysetAx)).
0.16/0.50	thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', setadjoinOr)).
0.16/0.50	thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', setadjoinIR)).
0.16/0.50	thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', quantDeMorgan1)).
0.16/0.50	thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', noeltsimpempty)).
0.16/0.50	thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', emptyI)).
0.16/0.50	thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', notdallE)).
0.16/0.50	thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', setext)).
0.16/0.50	thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', notinemptyset)).
0.16/0.50	thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', emptysetE)).
0.16/0.50	thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', prop2setE)).
0.16/0.50	thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$i]:(?[X5:$i]:((((![X7:$i]:(((in @ X7 @ X5)=>![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))))&![X2:$i, X3:$i]:((((in @ X2 @ X4)&(in @ X3 @ X4))=>(![X7:$i]:(((in @ X7 @ X5)=>((in @ X2 @ X7)<=>(in @ X3 @ X7))))=>((X2)=(X3))))))&![X7:$i, X8:$i]:((((in @ X7 @ X5)&(in @ X8 @ X5))=>(![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X8)))|![X2:$i]:(((in @ X2 @ X8)=>(in @ X2 @ X7)))))))&![X7:$i]:(((![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))&?[X2:$i]:((in @ X2 @ X7)))=>?[X8:$i, X2:$i]:(((((in @ X8 @ X5)&(in @ X2 @ X7))&~(?[X3:$i]:(((in @ X3 @ X8)&(in @ X3 @ X7)))))&![X9:$i]:(((in @ X9 @ X5)=>(![X3:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', wellorderingAx)).
0.16/0.50	thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', omegaIndAx)).
0.16/0.50	thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', omegaSAx)).
0.16/0.50	thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', uniqinunit)).
0.16/0.50	thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', setunionAx)).
0.16/0.50	thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', in__Cong)).
0.16/0.50	thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', powersetE1)).
0.16/0.50	thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', emptyset__Cong)).
0.16/0.50	thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', setadjoin__Cong)).
0.16/0.50	thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', subsetI1)).
0.16/0.50	thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', eqimpsubset2)).
0.16/0.50	thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', eqimpsubset1)).
0.16/0.50	thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', emptysetsubset)).
0.16/0.50	thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', singletonsswitch)).
0.16/0.50	thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', notsubsetI)).
0.16/0.50	thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', subsetTrans)).
0.16/0.50	thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', setextsub)).
0.16/0.50	thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', subsetemptysetimpeq)).
0.16/0.50	thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', inPowerset)).
0.16/0.50	thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', powersetsubset)).
0.16/0.50	thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', powersetI1)).
0.16/0.50	thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', subset2powerset)).
0.16/0.50	thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', setadjoinSub2)).
0.16/0.50	thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', setadjoinSub)).
0.16/0.50	thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', subsetRefl)).
0.16/0.50	thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', notequalI2)).
0.16/0.50	thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', notequalI1)).
0.16/0.50	thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', subsetE2)).
0.16/0.50	thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', subsetE)).
0.16/0.50	thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', upairsetE)).
0.16/0.50	thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', subsetI2)).
0.16/0.50	thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', omega__Cong)).
0.16/0.50	thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', setunion__Cong)).
0.16/0.50	thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', powerset__Cong)).
0.16/0.50	thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', inCongP)).
0.16/0.50	thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', notdexE)).
0.16/0.50	thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', prop2setI)).
0.16/0.50	thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', quantDeMorgan4)).
0.16/0.50	thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', quantDeMorgan3)).
0.16/0.50	thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', quantDeMorgan2)).
0.16/0.50	thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', vacuousDall)).
0.16/0.50	thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', upairsetIR)).
0.16/0.50	thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', upairsetIL)).
0.16/0.50	thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', eqinunit)).
0.16/0.50	thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', subPowSU)).
0.16/0.50	thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', setunionE)).
0.16/0.50	thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', powersetE)).
0.16/0.50	thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', emptyInPowerset)).
0.16/0.50	thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', setunionI)).
0.16/0.50	thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', emptyinPowerset)).
0.16/0.50	thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', powersetI)).
0.16/0.50	thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', setadjoinE)).
0.16/0.50	thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', emptyinunitempty)).
0.16/0.50	thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', setadjoinIL)).
0.16/0.50	thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', emptysetimpfalse)).
0.16/0.50	thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', foundationAx)).
0.16/0.50	thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', omega0Ax)).
0.16/0.50	thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', powersetAx)).
0.16/0.50	thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', setadjoinAx)).
0.16/0.50	thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.LGuovuhVqJ/Vampire---4.8_21203', setextAx)).
0.16/0.50	thf(c_0_99, plain, ((nonempty)=(^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
0.16/0.50	thf(c_0_100, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
0.16/0.50	thf(c_0_101, plain, ((exu)=(^[Z0/* 5 */:$i > $o]:(?[X2:$i]:(((Z0 @ X2)&![X3:$i]:(((Z0 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exu])).
0.16/0.50	thf(c_0_102, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
0.16/0.50	thf(c_0_103, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0/* 3 */:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
0.16/0.50	thf(c_0_104, plain, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))<=>(exu @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
0.16/0.50	thf(c_0_105, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
0.16/0.50	thf(c_0_106, plain, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>((exu @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
0.16/0.50	thf(c_0_107, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])).
0.16/0.50	thf(c_0_108, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])).
0.16/0.50	thf(c_0_109, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
0.16/0.50	thf(c_0_110, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
0.16/0.50	thf(c_0_111, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
0.16/0.50	thf(c_0_112, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
0.16/0.50	thf(c_0_113, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
0.16/0.50	thf(c_0_114, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
0.16/0.50	thf(c_0_115, axiom, ((nonemptyI1)=(![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(((X4)!=(emptyset))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_99])).
0.16/0.50	thf(c_0_116, plain, ((exuI3)=(![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(?[X292:$i]:((((X1 @ X292))&![X293:$i]:((((X1 @ X293))=>((X292)=(X293)))))))))))), inference(apply_def,[status(thm)],[c_0_100, c_0_101])).
0.16/0.50	thf(c_0_117, plain, ((exuI2)=(![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(?[X294:$i]:((((X1 @ X294))&![X295:$i]:((((X1 @ X295))=>((X294)=(X295))))))))))), inference(apply_def,[status(thm)],[c_0_102, c_0_101])).
0.16/0.50	thf(c_0_118, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(?[X280:$i]:((((X6 @ X2 @ X280))&![X281:$i]:((((X6 @ X2 @ X281))=>((X280)=(X281)))))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2)))))))))), inference(apply_def,[status(thm)],[c_0_103, c_0_101])).
0.16/0.50	thf(c_0_119, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X298:$i]:((((X1 @ X298))&![X299:$i]:((((X1 @ X299))=>((X298)=(X299)))))))<=>(?[X300:$i]:((((X17 @ X300))&![X301:$i]:((((X17 @ X301))=>((X300)=(X301)))))))))))), inference(apply_def,[status(thm)],[c_0_104, c_0_101])).
0.16/0.50	thf(c_0_120, plain, ((exuEu)=(![X1:$i > $o]:(((?[X302:$i]:((((X1 @ X302))&![X303:$i]:((((X1 @ X303))=>((X302)=(X303)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_105, c_0_101])).
0.16/0.50	thf(c_0_121, plain, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
0.16/0.50	thf(c_0_122, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
0.16/0.50	thf(c_0_123, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X304:$i]:((((X1 @ X304))&![X305:$i]:((((X1 @ X305))=>((X304)=(X305)))))))=>((?[X306:$i]:((((X17 @ X306))&![X307:$i]:((((X17 @ X307))=>((X306)=(X307)))))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))))))))), inference(apply_def,[status(thm)],[c_0_106, c_0_101])).
0.16/0.50	thf(c_0_124, plain, ((exuE3u)=(![X1:$i > $o]:(((?[X296:$i]:((((X1 @ X296))&![X297:$i]:((((X1 @ X297))=>((X296)=(X297)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_107, c_0_101])).
0.16/0.50	thf(c_0_125, plain, ((exuI1)=(![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(?[X290:$i]:((((X1 @ X290))&![X291:$i]:((((X1 @ X291))=>((X290)=(X291))))))))))), inference(apply_def,[status(thm)],[c_0_108, c_0_101])).
0.16/0.50	thf(c_0_126, plain, ((exuE2)=(![X1:$i > $o]:(((?[X288:$i]:((((X1 @ X288))&![X289:$i]:((((X1 @ X289))=>((X288)=(X289)))))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2))))))))), inference(apply_def,[status(thm)],[c_0_109, c_0_101])).
0.16/0.50	thf(c_0_127, plain, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(emptyset))=>~($true))))), inference(fof_simplification,[status(thm)],[emptyE1])).
0.16/0.50	thf(c_0_128, axiom, ((nonemptyImpWitness)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:(((in @ X2 @ X4)&($true))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_99])).
0.16/0.50	thf(c_0_129, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))!=(emptyset)))))))), inference(apply_def,[status(thm)],[c_0_110, c_0_99])).
0.16/0.50	thf(c_0_130, axiom, ((nonemptyE1)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:((in @ X2 @ X4)))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_99])).
0.16/0.50	thf(c_0_131, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
0.16/0.50	thf(c_0_132, plain, ((exuE3e)=(![X1:$i > $o]:(((?[X286:$i]:((((X1 @ X286))&![X287:$i]:((((X1 @ X287))=>((X286)=(X287)))))))=>?[X2:$i]:((X1 @ X2)))))), inference(apply_def,[status(thm)],[c_0_111, c_0_101])).
0.16/0.50	thf(c_0_133, plain, ((exuE1)=(![X1:$i > $o]:(((?[X284:$i]:((((X1 @ X284))&![X285:$i]:((((X1 @ X285))=>((X284)=(X285)))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))), inference(apply_def,[status(thm)],[c_0_112, c_0_101])).
0.16/0.50	thf(c_0_134, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
0.16/0.50	thf(c_0_135, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
0.16/0.50	thf(c_0_136, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
0.16/0.50	thf(c_0_137, plain, ((descrp)=(![X1:$i > $o]:(((?[X282:$i]:((((X1 @ X282))&![X283:$i]:((((X1 @ X283))=>((X282)=(X283)))))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(apply_def,[status(thm)],[c_0_113, c_0_101])).
0.16/0.50	thf(c_0_138, plain, ((epred1_0)<=>![X560:$i]:(?[X561:$i]:((((![X562:$i]:(((in @ X562 @ X561)=>![X563:$i]:(((in @ X563 @ X562)=>(in @ X563 @ X560)))))&![X564:$i, X565:$i]:((((in @ X564 @ X560)&(in @ X565 @ X560))=>(![X566:$i]:(((in @ X566 @ X561)=>((in @ X564 @ X566)<=>(in @ X565 @ X566))))=>((X564)=(X565))))))&![X567:$i, X568:$i]:((((in @ X567 @ X561)&(in @ X568 @ X561))=>(![X569:$i]:(((in @ X569 @ X567)=>(in @ X569 @ X568)))|![X570:$i]:(((in @ X570 @ X568)=>(in @ X570 @ X567)))))))&![X571:$i]:(((![X572:$i]:(((in @ X572 @ X571)=>(in @ X572 @ X560)))&?[X573:$i]:((in @ X573 @ X571)))=>?[X574:$i, X575:$i]:(((((in @ X574 @ X561)&(in @ X575 @ X571))&~(?[X576:$i]:(((in @ X576 @ X574)&(in @ X576 @ X571)))))&![X577:$i]:(((in @ X577 @ X561)=>(![X578:$i]:(((in @ X578 @ X577)=>(in @ X578 @ X574)))|(in @ X575 @ X577)))))))))))), introduced(definition)).
0.16/0.50	thf(c_0_139, negated_conjecture, ~((![X308:$i, X309:$i]:((![X310:$i]:(((in @ X310 @ X308)<=>(in @ X310 @ X309)))=>((X308)=(X309))))=>(![X594:$i]:(~(in @ X594 @ emptyset))=>(![X311:$i, X312:$i, X313:$i]:(((in @ X313 @ (setadjoin @ X311 @ X312))<=>(((X313)=(X311))|(in @ X313 @ X312))))=>(![X314:$i, X315:$i]:(((in @ X315 @ (powerset @ X314))<=>![X316:$i]:(((in @ X316 @ X315)=>(in @ X316 @ X314)))))=>(![X591:$i, X592:$i]:(((in @ X592 @ (setunion @ X591))<=>?[X593:$i]:(((in @ X592 @ X593)&(in @ X593 @ X591)))))=>((in @ emptyset @ omega)=>(![X590:$i]:(((in @ X590 @ omega)=>(in @ (setadjoin @ X590 @ X590) @ omega)))=>(![X587:$i]:((((in @ emptyset @ X587)&![X588:$i]:((((in @ X588 @ omega)&(in @ X588 @ X587))=>(in @ (setadjoin @ X588 @ X588) @ X587))))=>![X589:$i]:(((in @ X589 @ omega)=>(in @ X589 @ X587)))))=>(![X579:$i > $i > $o, X580:$i]:((![X581:$i]:(((in @ X581 @ X580)=>?[X582:$i]:(((X579 @ X581 @ X582)&![X583:$i]:(((X579 @ X581 @ X583)=>((X582)=(X583))))))))=>?[X584:$i]:(![X585:$i]:(((in @ X585 @ X584)<=>?[X586:$i]:(((in @ X586 @ X580)&(X579 @ X586 @ X585))))))))=>(![X317:$i]:((?[X318:$i]:((in @ X318 @ X317))=>?[X319:$i]:(((in @ X319 @ X317)&~(?[X320:$i]:(((in @ X320 @ X319)&(in @ X320 @ X317))))))))=>((epred1_0)=>(![X321:$i > $o]:((?[X322:$i]:(((X321 @ X322)&![X323:$i]:(((X321 @ X323)=>((X322)=(X323))))))=>(X321 @ (descr @ (^[Z0/* 3 */:$i]:((X321 @ Z0)))))))=>(![X324:$i, X325:$i > $o, X326:$i]:(((in @ X326 @ X324)=>((X325 @ X326)=>(in @ X326 @ (dsetconstr @ X324 @ (^[Z0/* 3 */:$i]:((X325 @ Z0))))))))=>(![X327:$i, X328:$i > $o, X329:$i]:(((in @ X329 @ (dsetconstr @ X327 @ (^[Z0/* 3 */:$i]:((X328 @ Z0)))))=>(in @ X329 @ X327)))=>(![X330:$i, X331:$i > $o, X332:$i]:(((in @ X332 @ (dsetconstr @ X330 @ (^[Z0/* 3 */:$i]:((X331 @ Z0)))))=>(X331 @ X332)))=>(![X333:$i > $o]:((?[X334:$i]:(((X333 @ X334)&![X335:$i]:(((X333 @ X335)=>((X334)=(X335))))))=>?[X336:$i]:(((X333 @ X336)&![X337:$i]:(((X333 @ X337)=>((X336)=(X337))))))))=>(![X558:$o, X559:$i]:(((in @ X559 @ (prop2set @ ((X558))))=>(X558)))=>(![X556:$i]:(((in @ X556 @ emptyset)=>![X557:$o]:((X557))))=>(![X338:$i]:(~(in @ X338 @ emptyset))=>(![X555:$i]:(~(in @ X555 @ emptyset))=>(![X339:$i > $o]:((?[X340:$i]:(((X339 @ X340)&![X341:$i]:(((X339 @ X341)=>((X340)=(X341))))))=>?[X342:$i]:((X339 @ X342))))=>(![X551:$i, X552:$i]:((![X553:$i]:(((in @ X553 @ X551)=>(in @ X553 @ X552)))=>(![X554:$i]:(((in @ X554 @ X552)=>(in @ X554 @ X551)))=>((X551)=(X552)))))=>(![X549:$i]:((![X550:$i]:(~(in @ X550 @ X549))=>((X549)=(emptyset))))=>(![X547:$i]:((![X548:$i]:(~(in @ X548 @ X547))=>((X547)=(emptyset))))=>(![X343:$i, X344:$i > $o, X345:$i]:(((in @ X345 @ X343)=>((in @ X345 @ (dsetconstr @ X343 @ (^[Z0/* 3 */:$i]:((X344 @ Z0)))))<=>(X344 @ X345))))=>(![X346:$i]:((((X346)!=(emptyset))=>?[X347:$i]:((in @ X347 @ X346))))=>(![X348:$i, X349:$i > $o, X350:$i]:(((in @ X350 @ X348)=>((X349 @ X350)=>((dsetconstr @ X348 @ (^[Z0/* 3 */:$i]:((X349 @ Z0))))!=(emptyset)))))=>(![X545:$i]:((?[X546:$i]:((in @ X546 @ X545))=>((X545)!=(emptyset))))=>(![X351:$i, X352:$i]:((in @ X351 @ (setadjoin @ X351 @ X352)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X542:$i, X543:$i, X544:$i]:(((in @ X544 @ X543)=>(in @ X544 @ (setadjoin @ X542 @ X543))))=>(![X353:$i, X354:$i, X355:$i]:(((in @ X355 @ (setadjoin @ X353 @ X354))=>![X356:$o]:(((((X355)=(X353))=>(X356))=>(((in @ X355 @ X354)=>(X356))=>(X356))))))=>(![X539:$i, X540:$i, X541:$i]:(((in @ X541 @ (setadjoin @ X539 @ X540))=>(((X541)=(X539))|(in @ X541 @ X540))))=>(![X538:$i]:(((dsetconstr @ X538 @ (^[Z0/* 3 */:$i]:(($true))))=(X538)))=>(![X357:$i, X358:$i]:((![X359:$i]:(((in @ X359 @ X358)=>(in @ X359 @ X357)))=>(in @ X358 @ (powerset @ X357))))=>(![X360:$i]:((in @ emptyset @ (powerset @ X360)))=>(![X537:$i]:((in @ emptyset @ (powerset @ X537)))=>(![X534:$i, X535:$i, X536:$i]:(((in @ X535 @ (powerset @ X534))=>((in @ X536 @ X535)=>(in @ X536 @ X534))))=>(![X361:$i, X362:$i, X363:$i]:(((in @ X362 @ X363)=>((in @ X363 @ X361)=>(in @ X362 @ (setunion @ X361)))))=>(![X530:$i, X531:$i]:(((in @ X531 @ (setunion @ X530))=>![X532:$o]:((![X533:$i]:(((in @ X531 @ X533)=>((in @ X533 @ X530)=>(X532))))=>(X532)))))=>(![X528:$i, X529:$i]:(((in @ X529 @ X528)=>(in @ X529 @ (powerset @ (setunion @ X528)))))=>(![X523:$i > $o]:((?[X524:$i]:(((X523 @ X524)&![X525:$i]:(((X523 @ X525)=>((X524)=(X525))))))=>?[X526:$i]:(![X527:$i]:(((X523 @ X527)<=>((X527)=(X526)))))))=>(![X364:$i]:((((X364)!=(emptyset))=>?[X365:$i]:((in @ X365 @ X364))))=>(![X366:$i, X367:$i]:(((in @ X366 @ (setadjoin @ X367 @ emptyset))=>((X366)=(X367))))=>(![X368:$i, X369:$i]:((((X368)!=(X369))=>~(in @ X369 @ (setadjoin @ X368 @ emptyset))))=>(![X521:$i, X522:$i]:((((X521)=(X522))=>(in @ X521 @ (setadjoin @ X522 @ emptyset))))=>(![X370:$i, X371:$i]:(((in @ X370 @ (setadjoin @ X371 @ emptyset))=>(in @ X371 @ (setadjoin @ X370 @ emptyset))))=>(![X372:$i, X373:$i, X374:$i]:(((in @ X374 @ (setadjoin @ X372 @ (setadjoin @ X373 @ emptyset)))=>(((X374)=(X372))|((X374)=(X373)))))=>(![X519:$i, X520:$i]:((in @ X519 @ (setadjoin @ X519 @ (setadjoin @ X520 @ emptyset))))=>(![X517:$i, X518:$i]:((in @ X518 @ (setadjoin @ X517 @ (setadjoin @ X518 @ emptyset))))=>(![X375:$i, X376:$i > $o]:((?[X377:$i]:(((in @ X377 @ X375)&(X376 @ X377)))=>((dsetconstr @ X375 @ (^[Z0/* 3 */:$i]:((X376 @ Z0))))!=(emptyset))))=>(![X515:$i > $o, X516:$i]:(((in @ X516 @ emptyset)=>(X515 @ X516)))=>(![X378:$i, X379:$i > $o]:((~(![X380:$i]:(((in @ X380 @ X378)=>(X379 @ X380))))=>?[X381:$i]:(((in @ X381 @ X378)&~(X379 @ X381)))))=>(![X511:$i, X512:$i > $o]:((![X513:$i]:(((in @ X513 @ X511)=>~(X512 @ X513)))=>~(?[X514:$i]:(((in @ X514 @ X511)&(X512 @ X514))))))=>(![X507:$i, X508:$i > $o]:((~(?[X509:$i]:(((in @ X509 @ X507)&(X508 @ X509))))=>![X510:$i]:(((in @ X510 @ X507)=>~(X508 @ X510)))))=>(![X503:$i, X504:$i > $o]:((?[X505:$i]:(((in @ X505 @ X503)&~(X504 @ X505)))=>~(![X506:$i]:(((in @ X506 @ X503)=>(X504 @ X506))))))=>(![X502:$o]:(((X502)=>(in @ emptyset @ (prop2set @ ((X502))))))=>((prop2set2propI)=>(![X498:$i, X499:$i > $o]:((~(?[X500:$i]:(((in @ X500 @ X498)&(X499 @ X500))))=>![X501:$i]:(((in @ X501 @ X498)=>~(X499 @ X501)))))=>(![X382:$i, X383:$i > $o]:((~(![X384:$i]:(((in @ X384 @ X382)=>(X383 @ X384))))=>?[X385:$i]:(((in @ X385 @ X382)&~(X383 @ X385)))))=>(![X493:$i > $o]:((?[X494:$i]:(((X493 @ X494)&![X495:$i]:(((X493 @ X495)=>((X494)=(X495))))))=>?[X496:$i]:(((X493 @ X496)&![X497:$i]:(((X493 @ X497)=>((X496)=(X497))))))))=>(![X386:$i > $o]:((?[X387:$i]:((X386 @ X387))=>(![X388:$i, X389:$i]:(((X386 @ X388)=>((X386 @ X389)=>((X388)=(X389)))))=>?[X390:$i]:(((X386 @ X390)&![X391:$i]:(((X386 @ X391)=>((X390)=(X391)))))))))=>(![X392:$i > $o]:((?[X393:$i]:(![X394:$i]:(((X392 @ X394)<=>((X394)=(X393)))))=>?[X395:$i]:(((X392 @ X395)&![X396:$i]:(((X392 @ X396)=>((X395)=(X396))))))))=>(![X489:$i, X490:$i]:((((X489)=(X490))=>![X491:$i, X492:$i]:((((X491)=(X492))=>((in @ X491 @ X489)=>(in @ X492 @ X490))))))=>(![X397:$i, X398:$i]:((((X397)=(X398))=>![X399:$i, X400:$i]:((((X399)=(X400))=>((in @ X399 @ X397)<=>(in @ X400 @ X398))))))=>(![X484:$i > $o]:((?[X485:$i]:(((X484 @ X485)&![X486:$i]:(((X484 @ X486)=>((X485)=(X486))))))=>![X487:$i, X488:$i]:(((X484 @ X487)=>((X484 @ X488)=>((X487)=(X488)))))))=>(![X401:$i > $o, X402:$i > $o]:((![X403:$i, X404:$i]:((((X403)=(X404))=>((X401 @ X403)<=>(X402 @ X404))))=>(?[X405:$i]:(((X401 @ X405)&![X406:$i]:(((X401 @ X406)=>((X405)=(X406))))))<=>?[X407:$i]:(((X402 @ X407)&![X408:$i]:(((X402 @ X408)=>((X407)=(X408)))))))))=>(((emptyset)=(emptyset))=>(![X409:$i, X410:$i]:((((X409)=(X410))=>![X411:$i, X412:$i]:((((X411)=(X412))=>((setadjoin @ X409 @ X411)=(setadjoin @ X410 @ X412))))))=>(![X482:$i, X483:$i]:((((X482)=(X483))=>((powerset @ X482)=(powerset @ X483))))=>(![X480:$i, X481:$i]:((((X480)=(X481))=>((setunion @ X480)=(setunion @ X481))))=>(((omega)=(omega))=>(![X413:$i > $o]:((?[X414:$i]:(((X413 @ X414)&![X415:$i]:(((X413 @ X415)=>((X414)=(X415))))))=>![X416:$i, X417:$i]:(((X413 @ X416)=>((X413 @ X417)=>((X416)=(X417)))))))=>(![X472:$i > $o, X473:$i > $o]:((![X474:$i, X475:$i]:((((X474)=(X475))=>((X472 @ X474)<=>(X473 @ X475))))=>(?[X476:$i]:(((X472 @ X476)&![X477:$i]:(((X472 @ X477)=>((X476)=(X477))))))=>(?[X478:$i]:(((X473 @ X478)&![X479:$i]:(((X473 @ X479)=>((X478)=(X479))))))=>((descr @ (^[Z0/* 3 */:$i]:((X472 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X473 @ Z0)))))))))=>(![X418:$i, X419:$i]:((((X418)=(X419))=>![X420:$i > $o, X421:$i > $o]:((![X422:$i]:(((in @ X422 @ X418)=>![X423:$i]:(((in @ X423 @ X419)=>(((X422)=(X423))=>((X420 @ X422)<=>(X421 @ X423)))))))=>((dsetconstr @ X418 @ (^[Z0/* 3 */:$i]:((X420 @ Z0))))=(dsetconstr @ X419 @ (^[Z0/* 3 */:$i]:((X421 @ Z0)))))))))=>(![X424:$i, X425:$i]:((![X426:$i]:(((in @ X426 @ X424)=>(in @ X426 @ X425)))=>(subset @ X424 @ X425)))=>(![X427:$i, X428:$i]:((((X427)=(X428))=>(subset @ X428 @ X427)))=>(![X429:$i, X430:$i]:((((X429)=(X430))=>(subset @ X429 @ X430)))=>(![X469:$i, X470:$i]:((![X471:$i]:(((in @ X471 @ X469)=>(in @ X471 @ X470)))=>(subset @ X469 @ X470)))=>(![X431:$i]:((subset @ emptyset @ X431))=>(![X466:$i, X467:$i, X468:$i]:(((subset @ X466 @ X467)=>((in @ X468 @ X466)=>(in @ X468 @ X467))))=>(![X463:$i, X464:$i, X465:$i]:(((subset @ X463 @ X464)=>(~(in @ X465 @ X464)=>~(in @ X465 @ X463))))=>(![X432:$i, X433:$i, X434:$i]:(((in @ X434 @ X432)=>(~(in @ X434 @ X433)=>~(subset @ X432 @ X433))))=>(![X461:$i, X462:$i]:((~(subset @ X461 @ X462)=>((X461)!=(X462))))=>(![X458:$i, X459:$i, X460:$i]:(((in @ X460 @ X458)=>(~(in @ X460 @ X459)=>((X458)!=(X459)))))=>(![X457:$i]:((subset @ X457 @ X457))=>(![X435:$i, X436:$i, X437:$i]:(((subset @ X435 @ X436)=>((subset @ X436 @ X437)=>(subset @ X435 @ X437))))=>(![X455:$i, X456:$i]:((subset @ X456 @ (setadjoin @ X455 @ X456)))=>(![X452:$i, X453:$i, X454:$i]:(((subset @ X452 @ X454)=>(subset @ X452 @ (setadjoin @ X453 @ X454))))=>(![X450:$i, X451:$i]:(((subset @ X450 @ X451)=>(in @ X450 @ (powerset @ X451))))=>(![X438:$i, X439:$i]:(((subset @ X438 @ X439)=>((subset @ X439 @ X438)=>((X438)=(X439)))))=>(![X440:$i]:(((subset @ X440 @ emptyset)=>((X440)=(emptyset))))=>(![X448:$i, X449:$i]:(((subset @ X449 @ X448)=>(in @ X449 @ (powerset @ X448))))=>(![X446:$i, X447:$i]:(((in @ X447 @ (powerset @ X446))=>(subset @ X447 @ X446)))=>(![X441:$i]:((in @ X441 @ (powerset @ X441)))=>(![X442:$i, X443:$i]:(((subset @ X442 @ X443)=>(subset @ (powerset @ X442) @ (powerset @ X443))))=>(![X444:$i, X445:$i > $o]:((in @ (dsetconstr @ X444 @ (^[Z0/* 3 */:$i]:((X445 @ Z0)))) @ (powerset @ X444)))=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ X4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[sepSubset])]), notinsingleton]), emptysetAx]), c_0_114]), setadjoinOr]), setadjoinIR]), c_0_115]), quantDeMorgan1]), noeltsimpempty]), emptyI]), notdallE]), setext]), notinemptyset]), emptysetE]), c_0_116]), prop2setE]), wellorderingAx]), c_0_117]), c_0_118]), omegaIndAx]), omegaSAx]), uniqinunit]), setunionAx]), in__Cong]), c_0_119]), powersetE1]), emptyset__Cong]), setadjoin__Cong]), c_0_120]), c_0_121]), subsetI1]), eqimpsubset2]), eqimpsubset1]), emptysetsubset]), singletonsswitch]), notsubsetI]), subsetTrans]), setextsub]), subsetemptysetimpeq]), inPowerset]), powersetsubset]), c_0_122]), powersetI1]), subset2powerset]), setadjoinSub2]), setadjoinSub]), subsetRefl]), notequalI2]), notequalI1]), subsetE2]), subsetE]), upairsetE]), subsetI2]), c_0_123]), omega__Cong]), setunion__Cong]), powerset__Cong]), c_0_124]), inCongP]), c_0_125]), notdexE]), prop2setI]), quantDeMorgan4]), quantDeMorgan3]), quantDeMorgan2]), vacuousDall]), upairsetIR]), upairsetIL]), eqinunit]), c_0_126]), subPowSU]), setunionE]), c_0_127]), powersetE]), emptyInPowerset]), c_0_128]), setunionI]), emptyinPowerset]), powersetI]), setadjoinE]), emptyinunitempty]), setadjoinIL]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), emptysetimpfalse]), c_0_133]), c_0_134]), c_0_135]), c_0_136]), c_0_137]), foundationAx]), omega0Ax]), powersetAx]), setadjoinAx]), setextAx])]), c_0_138])).
0.16/0.50	thf(c_0_140, negated_conjecture, ![X595:$i, X596:$i, X598:$i, X599:$i, X600:$i, X601:$i, X602:$i, X603:$i, X604:$i, X605:$i, X606:$i, X608:$i, X609:$i, X611:$i, X612:$i, X613:$i, X614:$i, X615:$i, X617:$i, X618:$i > $i > $o, X619:$i, X621:$i, X624:$i, X626:$i, X627:$i, X628:$i, X629:$i, X631:$i, X632:$i > $o, X633:$i, X635:$i, X636:$i > $o, X637:$i, X638:$i, X639:$i > $o, X640:$i, X641:$i, X642:$i > $o, X643:$i, X644:$i > $o, X645:$i, X648:$i, X649:$o, X650:$i, X651:$i, X652:$o, X653:$i, X654:$i, X655:$i > $o, X656:$i, X659:$i, X660:$i, X663:$i, X665:$i, X667:$i, X668:$i > $o, X669:$i, X670:$i, X672:$i, X673:$i > $o, X674:$i, X675:$i, X676:$i, X677:$i, X678:$i, X679:$i, X680:$i, X681:$i, X682:$i, X683:$i, X684:$i, X685:$o, X686:$i, X687:$i, X688:$i, X689:$i, X690:$i, X691:$i, X693:$i, X694:$i, X695:$i, X696:$i, X697:$i, X698:$i, X699:$i, X700:$i, X701:$i, X702:$i, X703:$o, X705:$i, X706:$i, X707:$i > $o, X708:$i, X711:$i, X712:$i, X713:$i, X715:$i, X716:$i, X717:$i, X718:$i, X719:$i, X720:$i, X721:$i, X722:$i, X723:$i, X724:$i, X725:$i, X726:$i, X727:$i, X728:$i, X729:$i, X730:$i, X731:$i > $o, X732:$i, X733:$i > $o, X734:$i, X735:$i, X736:$i > $o, X737:$i, X739:$i, X740:$i > $o, X742:$i, X743:$i, X744:$i > $o, X746:$i, X747:$i, X748:$i > $o, X749:$i, X751:$o, X752:$i, X753:$i > $o, X755:$i, X756:$i, X757:$i > $o, X758:$i, X760:$i > $o, X761:$i, X764:$i, X765:$i > $o, X766:$i, X770:$i, X771:$i > $o, X772:$i, X775:$i, X776:$i, X777:$i, X778:$i, X779:$i, X780:$i, X781:$i, X782:$i, X783:$i, X784:$i > $o, X785:$i, X787:$i, X788:$i, X789:$i > $o, X790:$i > $o, X793:$i, X796:$i, X797:$i, X800:$i, X801:$i, X802:$i, X803:$i, X804:$i, X805:$i, X806:$i, X807:$i, X808:$i, X809:$i > $o, X810:$i, X812:$i, X813:$i, X814:$i > $o, X815:$i > $o, X818:$i, X820:$i, X822:$i, X823:$i, X824:$i > $o, X825:$i > $o, X828:$i, X829:$i, X831:$i, X832:$i, X833:$i, X834:$i, X835:$i, X836:$i, X838:$i, X839:$i, X840:$i, X841:$i, X842:$i, X843:$i, X844:$i, X845:$i, X846:$i, X847:$i, X848:$i, X849:$i, X850:$i, X851:$i, X852:$i, X853:$i, X854:$i, X855:$i, X856:$i, X857:$i, X858:$i, X859:$i, X860:$i, X861:$i, X862:$i, X863:$i, X864:$i, X865:$i, X866:$i, X867:$i, X868:$i, X869:$i, X870:$i, X871:$i, X872:$i, X873:$i, X874:$i, X875:$i > $o]:((((~(in @ (esk1_2 @ X595 @ X596) @ X595)|~(in @ (esk1_2 @ X595 @ X596) @ X596)|((X595)=(X596)))&((in @ (esk1_2 @ X595 @ X596) @ X595)|(in @ (esk1_2 @ X595 @ X596) @ X596)|((X595)=(X596))))&(~(in @ X598 @ emptyset)&(((~(in @ X601 @ (setadjoin @ X599 @ X600))|(((X601)=(X599))|(in @ X601 @ X600)))&((((X601)!=(X599))|(in @ X601 @ (setadjoin @ X599 @ X600)))&(~(in @ X601 @ X600)|(in @ X601 @ (setadjoin @ X599 @ X600)))))&(((~(in @ X603 @ (powerset @ X602))|(~(in @ X604 @ X603)|(in @ X604 @ X602)))&(((in @ (esk2_2 @ X605 @ X606) @ X606)|(in @ X606 @ (powerset @ X605)))&(~(in @ (esk2_2 @ X605 @ X606) @ X605)|(in @ X606 @ (powerset @ X605)))))&(((((in @ X609 @ (esk3_2 @ X608 @ X609))|~(in @ X609 @ (setunion @ X608)))&((in @ (esk3_2 @ X608 @ X609) @ X608)|~(in @ X609 @ (setunion @ X608))))&(~(in @ X612 @ X613)|~(in @ X613 @ X611)|(in @ X612 @ (setunion @ X611))))&((in @ emptyset @ omega)&((~(in @ X614 @ omega)|(in @ (setadjoin @ X614 @ X614) @ omega))&(((((in @ (esk4_1 @ X615) @ omega)|~(in @ emptyset @ X615)|(~(in @ X617 @ omega)|(in @ X617 @ X615)))&((in @ (esk4_1 @ X615) @ X615)|~(in @ emptyset @ X615)|(~(in @ X617 @ omega)|(in @ X617 @ X615))))&(~(in @ (setadjoin @ (esk4_1 @ X615) @ (esk4_1 @ X615)) @ X615)|~(in @ emptyset @ X615)|(~(in @ X617 @ omega)|(in @ X617 @ X615))))&((((((in @ (esk8_3 @ X618 @ X619 @ X624) @ X619)|~(in @ X624 @ (esk7_2 @ X618 @ X619))|(in @ (esk5_2 @ X618 @ X619) @ X619))&((X618 @ (esk8_3 @ X618 @ X619 @ X624) @ X624)|~(in @ X624 @ (esk7_2 @ X618 @ X619))|(in @ (esk5_2 @ X618 @ X619) @ X619)))&(~(in @ X627 @ X619)|~(X618 @ X627 @ X626)|(in @ X626 @ (esk7_2 @ X618 @ X619))|(in @ (esk5_2 @ X618 @ X619) @ X619)))&(((((in @ (esk8_3 @ X618 @ X619 @ X624) @ X619)|~(in @ X624 @ (esk7_2 @ X618 @ X619))|((X618 @ (esk5_2 @ X618 @ X619) @ (esk6_3 @ X618 @ X619 @ X621))|~(X618 @ (esk5_2 @ X618 @ X619) @ X621)))&((X618 @ (esk8_3 @ X618 @ X619 @ X624) @ X624)|~(in @ X624 @ (esk7_2 @ X618 @ X619))|((X618 @ (esk5_2 @ X618 @ X619) @ (esk6_3 @ X618 @ X619 @ X621))|~(X618 @ (esk5_2 @ X618 @ X619) @ X621))))&(~(in @ X627 @ X619)|~(X618 @ X627 @ X626)|(in @ X626 @ (esk7_2 @ X618 @ X619))|((X618 @ (esk5_2 @ X618 @ X619) @ (esk6_3 @ X618 @ X619 @ X621))|~(X618 @ (esk5_2 @ X618 @ X619) @ X621))))&((((in @ (esk8_3 @ X618 @ X619 @ X624) @ X619)|~(in @ X624 @ (esk7_2 @ X618 @ X619))|(((X621)!=(esk6_3 @ X618 @ X619 @ X621))|~(X618 @ (esk5_2 @ X618 @ X619) @ X621)))&((X618 @ (esk8_3 @ X618 @ X619 @ X624) @ X624)|~(in @ X624 @ (esk7_2 @ X618 @ X619))|(((X621)!=(esk6_3 @ X618 @ X619 @ X621))|~(X618 @ (esk5_2 @ X618 @ X619) @ X621))))&(~(in @ X627 @ X619)|~(X618 @ X627 @ X626)|(in @ X626 @ (esk7_2 @ X618 @ X619))|(((X621)!=(esk6_3 @ X618 @ X619 @ X621))|~(X618 @ (esk5_2 @ X618 @ X619) @ X621))))))&((((in @ (esk9_1 @ X628) @ X628)|~(in @ X629 @ X628))&(~(in @ X631 @ (esk9_1 @ X628))|~(in @ X631 @ X628)|~(in @ X629 @ X628)))&((epred1_0)&((((X632 @ (esk10_2 @ X632 @ X633))|~(X632 @ X633)|(X632 @ (descr @ (^[Z0/* 3 */:$i]:((X632 @ Z0))))))&(((X633)!=(esk10_2 @ X632 @ X633))|~(X632 @ X633)|(X632 @ (descr @ (^[Z0/* 3 */:$i]:((X632 @ Z0)))))))&((~(in @ X637 @ X635)|(~(X636 @ X637)|(in @ X637 @ (dsetconstr @ X635 @ (^[Z0/* 3 */:$i]:((X636 @ Z0)))))))&((~(in @ X640 @ (dsetconstr @ X638 @ (^[Z0/* 3 */:$i]:((X639 @ Z0)))))|(in @ X640 @ X638))&((~(in @ X643 @ (dsetconstr @ X641 @ (^[Z0/* 3 */:$i]:((X642 @ Z0)))))|(X642 @ X643))&(((((X644 @ (esk12_1 @ X644))|((X644 @ (esk11_2 @ X644 @ X645))|~(X644 @ X645)))&(~(X644 @ X648)|((esk12_1 @ X644)=(X648))|((X644 @ (esk11_2 @ X644 @ X645))|~(X644 @ X645))))&(((X644 @ (esk12_1 @ X644))|(((X645)!=(esk11_2 @ X644 @ X645))|~(X644 @ X645)))&(~(X644 @ X648)|((esk12_1 @ X644)=(X648))|(((X645)!=(esk11_2 @ X644 @ X645))|~(X644 @ X645)))))&((~(in @ X650 @ (prop2set @ ((X649))))|(X649))&((~(in @ X651 @ emptyset)|(X652))&(~(in @ X653 @ emptyset)&(~(in @ X654 @ emptyset)&((((X655 @ (esk13_2 @ X655 @ X656))|~(X655 @ X656)|(X655 @ (esk14_1 @ X655)))&(((X656)!=(esk13_2 @ X655 @ X656))|~(X655 @ X656)|(X655 @ (esk14_1 @ X655))))&(((((in @ (esk16_2 @ X659 @ X660) @ X660)|((X659)=(X660))|(in @ (esk15_2 @ X659 @ X660) @ X659))&(~(in @ (esk16_2 @ X659 @ X660) @ X659)|((X659)=(X660))|(in @ (esk15_2 @ X659 @ X660) @ X659)))&(((in @ (esk16_2 @ X659 @ X660) @ X660)|((X659)=(X660))|~(in @ (esk15_2 @ X659 @ X660) @ X660))&(~(in @ (esk16_2 @ X659 @ X660) @ X659)|((X659)=(X660))|~(in @ (esk15_2 @ X659 @ X660) @ X660))))&(((in @ (esk17_1 @ X663) @ X663)|((X663)=(emptyset)))&(((in @ (esk18_1 @ X665) @ X665)|((X665)=(emptyset)))&(((~(in @ X669 @ (dsetconstr @ X667 @ (^[Z0/* 3 */:$i]:((X668 @ Z0)))))|(X668 @ X669)|~(in @ X669 @ X667))&(~(X668 @ X669)|(in @ X669 @ (dsetconstr @ X667 @ (^[Z0/* 3 */:$i]:((X668 @ Z0)))))|~(in @ X669 @ X667)))&((((X670)=(emptyset))|(in @ (esk19_1 @ X670) @ X670))&((~(in @ X674 @ X672)|(~(X673 @ X674)|((dsetconstr @ X672 @ (^[Z0/* 3 */:$i]:((X673 @ Z0))))!=(emptyset))))&((~(in @ X676 @ X675)|((X675)!=(emptyset)))&((in @ X677 @ (setadjoin @ X677 @ X678))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X681 @ X680)|(in @ X681 @ (setadjoin @ X679 @ X680)))&(((((in @ X684 @ X683)|(X685)|((X684)=(X682))|~(in @ X684 @ (setadjoin @ X682 @ X683)))&(~(X685)|(X685)|((X684)=(X682))|~(in @ X684 @ (setadjoin @ X682 @ X683))))&(((in @ X684 @ X683)|(X685)|~(X685)|~(in @ X684 @ (setadjoin @ X682 @ X683)))&(~(X685)|(X685)|~(X685)|~(in @ X684 @ (setadjoin @ X682 @ X683)))))&((~(in @ X688 @ (setadjoin @ X686 @ X687))|(((X688)=(X686))|(in @ X688 @ X687)))&(((dsetconstr @ X689 @ (^[Z0/* 3 */:$i]:(($true))))=(X689))&((((in @ (esk20_2 @ X690 @ X691) @ X691)|(in @ X691 @ (powerset @ X690)))&(~(in @ (esk20_2 @ X690 @ X691) @ X690)|(in @ X691 @ (powerset @ X690))))&((in @ emptyset @ (powerset @ X693))&((in @ emptyset @ (powerset @ X694))&((~(in @ X696 @ (powerset @ X695))|(~(in @ X697 @ X696)|(in @ X697 @ X695)))&((~(in @ X699 @ X700)|(~(in @ X700 @ X698)|(in @ X699 @ (setunion @ X698))))&((((in @ X702 @ (esk21_3 @ X701 @ X702 @ X703))|(X703)|~(in @ X702 @ (setunion @ X701)))&(((in @ (esk21_3 @ X701 @ X702 @ X703) @ X701)|(X703)|~(in @ X702 @ (setunion @ X701)))&(~(X703)|(X703)|~(in @ X702 @ (setunion @ X701)))))&((~(in @ X706 @ X705)|(in @ X706 @ (powerset @ (setunion @ X705))))&((((~(X707 @ X711)|((X711)=(esk23_1 @ X707))|((X707 @ (esk22_2 @ X707 @ X708))|~(X707 @ X708)))&(((X712)!=(esk23_1 @ X707))|(X707 @ X712)|((X707 @ (esk22_2 @ X707 @ X708))|~(X707 @ X708))))&((~(X707 @ X711)|((X711)=(esk23_1 @ X707))|(((X708)!=(esk22_2 @ X707 @ X708))|~(X707 @ X708)))&(((X712)!=(esk23_1 @ X707))|(X707 @ X712)|(((X708)!=(esk22_2 @ X707 @ X708))|~(X707 @ X708)))))&((((X713)=(emptyset))|(in @ (esk24_1 @ X713) @ X713))&((~(in @ X715 @ (setadjoin @ X716 @ emptyset))|((X715)=(X716)))&((((X717)=(X718))|~(in @ X718 @ (setadjoin @ X717 @ emptyset)))&((((X719)!=(X720))|(in @ X719 @ (setadjoin @ X720 @ emptyset)))&((~(in @ X721 @ (setadjoin @ X722 @ emptyset))|(in @ X722 @ (setadjoin @ X721 @ emptyset)))&((~(in @ X725 @ (setadjoin @ X723 @ (setadjoin @ X724 @ emptyset)))|(((X725)=(X723))|((X725)=(X724))))&((in @ X726 @ (setadjoin @ X726 @ (setadjoin @ X727 @ emptyset)))&((in @ X729 @ (setadjoin @ X728 @ (setadjoin @ X729 @ emptyset)))&((~(in @ X732 @ X730)|~(X731 @ X732)|((dsetconstr @ X730 @ (^[Z0/* 3 */:$i]:((X731 @ Z0))))!=(emptyset)))&((~(in @ X734 @ emptyset)|(X733 @ X734))&((((in @ (esk25_2 @ X735 @ X736) @ X735)|(~(in @ X737 @ X735)|(X736 @ X737)))&(~(X736 @ (esk25_2 @ X735 @ X736))|(~(in @ X737 @ X735)|(X736 @ X737))))&((((in @ (esk26_2 @ X739 @ X740) @ X739)|(~(in @ X742 @ X739)|~(X740 @ X742)))&((X740 @ (esk26_2 @ X739 @ X740))|(~(in @ X742 @ X739)|~(X740 @ X742))))&((((in @ (esk27_2 @ X743 @ X744) @ X743)|(~(in @ X746 @ X743)|~(X744 @ X746)))&((X744 @ (esk27_2 @ X743 @ X744))|(~(in @ X746 @ X743)|~(X744 @ X746))))&((((in @ (esk28_2 @ X747 @ X748) @ X747)|(~(in @ X749 @ X747)|(X748 @ X749)))&(~(X748 @ (esk28_2 @ X747 @ X748))|(~(in @ X749 @ X747)|(X748 @ X749))))&((~(X751)|(in @ emptyset @ (prop2set @ ((X751)))))&((prop2set2propI)&((((in @ (esk29_2 @ X752 @ X753) @ X752)|(~(in @ X755 @ X752)|~(X753 @ X755)))&((X753 @ (esk29_2 @ X752 @ X753))|(~(in @ X755 @ X752)|~(X753 @ X755))))&((((in @ (esk30_2 @ X756 @ X757) @ X756)|(~(in @ X758 @ X756)|(X757 @ X758)))&(~(X757 @ (esk30_2 @ X756 @ X757))|(~(in @ X758 @ X756)|(X757 @ X758))))&(((((X760 @ (esk32_1 @ X760))|((X760 @ (esk31_2 @ X760 @ X761))|~(X760 @ X761)))&(~(X760 @ X764)|((esk32_1 @ X760)=(X764))|((X760 @ (esk31_2 @ X760 @ X761))|~(X760 @ X761))))&(((X760 @ (esk32_1 @ X760))|(((X761)!=(esk31_2 @ X760 @ X761))|~(X760 @ X761)))&(~(X760 @ X764)|((esk32_1 @ X760)=(X764))|(((X761)!=(esk31_2 @ X760 @ X761))|~(X760 @ X761)))))&(((((X765 @ (esk35_1 @ X765))|(X765 @ (esk33_1 @ X765))|~(X765 @ X766))&(~(X765 @ X770)|((esk35_1 @ X765)=(X770))|(X765 @ (esk33_1 @ X765))|~(X765 @ X766)))&((((X765 @ (esk35_1 @ X765))|(X765 @ (esk34_1 @ X765))|~(X765 @ X766))&(~(X765 @ X770)|((esk35_1 @ X765)=(X770))|(X765 @ (esk34_1 @ X765))|~(X765 @ X766)))&(((X765 @ (esk35_1 @ X765))|((esk33_1 @ X765)!=(esk34_1 @ X765))|~(X765 @ X766))&(~(X765 @ X770)|((esk35_1 @ X765)=(X770))|((esk33_1 @ X765)!=(esk34_1 @ X765))|~(X765 @ X766)))))&(((((X771 @ (esk37_1 @ X771))|(~(X771 @ (esk36_2 @ X771 @ X772))|((esk36_2 @ X771 @ X772)!=(X772))))&(~(X771 @ X775)|((esk37_1 @ X771)=(X775))|(~(X771 @ (esk36_2 @ X771 @ X772))|((esk36_2 @ X771 @ X772)!=(X772)))))&(((X771 @ (esk37_1 @ X771))|((X771 @ (esk36_2 @ X771 @ X772))|((esk36_2 @ X771 @ X772)=(X772))))&(~(X771 @ X775)|((esk37_1 @ X771)=(X775))|((X771 @ (esk36_2 @ X771 @ X772))|((esk36_2 @ X771 @ X772)=(X772))))))&((((X776)!=(X777))|(((X778)!=(X779))|(~(in @ X778 @ X776)|(in @ X779 @ X777))))&(((~(in @ X782 @ X780)|(in @ X783 @ X781)|((X782)!=(X783))|((X780)!=(X781)))&(~(in @ X783 @ X781)|(in @ X782 @ X780)|((X782)!=(X783))|((X780)!=(X781))))&((((X784 @ (esk38_2 @ X784 @ X785))|~(X784 @ X785)|(~(X784 @ X787)|(~(X784 @ X788)|((X787)=(X788)))))&(((X785)!=(esk38_2 @ X784 @ X785))|~(X784 @ X785)|(~(X784 @ X787)|(~(X784 @ X788)|((X787)=(X788))))))&(((((((X790 @ (esk42_2 @ X789 @ X790))|((X789 @ (esk41_3 @ X789 @ X790 @ X793))|~(X789 @ X793))|((esk39_2 @ X789 @ X790)=(esk40_2 @ X789 @ X790)))&(~(X790 @ X796)|((esk42_2 @ X789 @ X790)=(X796))|((X789 @ (esk41_3 @ X789 @ X790 @ X793))|~(X789 @ X793))|((esk39_2 @ X789 @ X790)=(esk40_2 @ X789 @ X790))))&(((X790 @ (esk42_2 @ X789 @ X790))|(((X793)!=(esk41_3 @ X789 @ X790 @ X793))|~(X789 @ X793))|((esk39_2 @ X789 @ X790)=(esk40_2 @ X789 @ X790)))&(~(X790 @ X796)|((esk42_2 @ X789 @ X790)=(X796))|(((X793)!=(esk41_3 @ X789 @ X790 @ X793))|~(X789 @ X793))|((esk39_2 @ X789 @ X790)=(esk40_2 @ X789 @ X790)))))&((((X789 @ (esk44_2 @ X789 @ X790))|((X790 @ (esk43_3 @ X789 @ X790 @ X797))|~(X790 @ X797))|((esk39_2 @ X789 @ X790)=(esk40_2 @ X789 @ X790)))&(~(X789 @ X800)|((esk44_2 @ X789 @ X790)=(X800))|((X790 @ (esk43_3 @ X789 @ X790 @ X797))|~(X790 @ X797))|((esk39_2 @ X789 @ X790)=(esk40_2 @ X789 @ X790))))&(((X789 @ (esk44_2 @ X789 @ X790))|(((X797)!=(esk43_3 @ X789 @ X790 @ X797))|~(X790 @ X797))|((esk39_2 @ X789 @ X790)=(esk40_2 @ X789 @ X790)))&(~(X789 @ X800)|((esk44_2 @ X789 @ X790)=(X800))|(((X797)!=(esk43_3 @ X789 @ X790 @ X797))|~(X790 @ X797))|((esk39_2 @ X789 @ X790)=(esk40_2 @ X789 @ X790))))))&((((((X790 @ (esk42_2 @ X789 @ X790))|((X789 @ (esk41_3 @ X789 @ X790 @ X793))|~(X789 @ X793))|(~(X789 @ (esk39_2 @ X789 @ X790))|~(X790 @ (esk40_2 @ X789 @ X790))))&(~(X790 @ X796)|((esk42_2 @ X789 @ X790)=(X796))|((X789 @ (esk41_3 @ X789 @ X790 @ X793))|~(X789 @ X793))|(~(X789 @ (esk39_2 @ X789 @ X790))|~(X790 @ (esk40_2 @ X789 @ X790)))))&(((X790 @ (esk42_2 @ X789 @ X790))|(((X793)!=(esk41_3 @ X789 @ X790 @ X793))|~(X789 @ X793))|(~(X789 @ (esk39_2 @ X789 @ X790))|~(X790 @ (esk40_2 @ X789 @ X790))))&(~(X790 @ X796)|((esk42_2 @ X789 @ X790)=(X796))|(((X793)!=(esk41_3 @ X789 @ X790 @ X793))|~(X789 @ X793))|(~(X789 @ (esk39_2 @ X789 @ X790))|~(X790 @ (esk40_2 @ X789 @ X790))))))&((((X789 @ (esk44_2 @ X789 @ X790))|((X790 @ (esk43_3 @ X789 @ X790 @ X797))|~(X790 @ X797))|(~(X789 @ (esk39_2 @ X789 @ X790))|~(X790 @ (esk40_2 @ X789 @ X790))))&(~(X789 @ X800)|((esk44_2 @ X789 @ X790)=(X800))|((X790 @ (esk43_3 @ X789 @ X790 @ X797))|~(X790 @ X797))|(~(X789 @ (esk39_2 @ X789 @ X790))|~(X790 @ (esk40_2 @ X789 @ X790)))))&(((X789 @ (esk44_2 @ X789 @ X790))|(((X797)!=(esk43_3 @ X789 @ X790 @ X797))|~(X790 @ X797))|(~(X789 @ (esk39_2 @ X789 @ X790))|~(X790 @ (esk40_2 @ X789 @ X790))))&(~(X789 @ X800)|((esk44_2 @ X789 @ X790)=(X800))|(((X797)!=(esk43_3 @ X789 @ X790 @ X797))|~(X790 @ X797))|(~(X789 @ (esk39_2 @ X789 @ X790))|~(X790 @ (esk40_2 @ X789 @ X790)))))))&(((((X790 @ (esk42_2 @ X789 @ X790))|((X789 @ (esk41_3 @ X789 @ X790 @ X793))|~(X789 @ X793))|((X789 @ (esk39_2 @ X789 @ X790))|(X790 @ (esk40_2 @ X789 @ X790))))&(~(X790 @ X796)|((esk42_2 @ X789 @ X790)=(X796))|((X789 @ (esk41_3 @ X789 @ X790 @ X793))|~(X789 @ X793))|((X789 @ (esk39_2 @ X789 @ X790))|(X790 @ (esk40_2 @ X789 @ X790)))))&(((X790 @ (esk42_2 @ X789 @ X790))|(((X793)!=(esk41_3 @ X789 @ X790 @ X793))|~(X789 @ X793))|((X789 @ (esk39_2 @ X789 @ X790))|(X790 @ (esk40_2 @ X789 @ X790))))&(~(X790 @ X796)|((esk42_2 @ X789 @ X790)=(X796))|(((X793)!=(esk41_3 @ X789 @ X790 @ X793))|~(X789 @ X793))|((X789 @ (esk39_2 @ X789 @ X790))|(X790 @ (esk40_2 @ X789 @ X790))))))&((((X789 @ (esk44_2 @ X789 @ X790))|((X790 @ (esk43_3 @ X789 @ X790 @ X797))|~(X790 @ X797))|((X789 @ (esk39_2 @ X789 @ X790))|(X790 @ (esk40_2 @ X789 @ X790))))&(~(X789 @ X800)|((esk44_2 @ X789 @ X790)=(X800))|((X790 @ (esk43_3 @ X789 @ X790 @ X797))|~(X790 @ X797))|((X789 @ (esk39_2 @ X789 @ X790))|(X790 @ (esk40_2 @ X789 @ X790)))))&(((X789 @ (esk44_2 @ X789 @ X790))|(((X797)!=(esk43_3 @ X789 @ X790 @ X797))|~(X790 @ X797))|((X789 @ (esk39_2 @ X789 @ X790))|(X790 @ (esk40_2 @ X789 @ X790))))&(~(X789 @ X800)|((esk44_2 @ X789 @ X790)=(X800))|(((X797)!=(esk43_3 @ X789 @ X790 @ X797))|~(X790 @ X797))|((X789 @ (esk39_2 @ X789 @ X790))|(X790 @ (esk40_2 @ X789 @ X790)))))))))&(((emptyset)=(emptyset))&((((X801)!=(X802))|(((X803)!=(X804))|((setadjoin @ X801 @ X803)=(setadjoin @ X802 @ X804))))&((((X805)!=(X806))|((powerset @ X805)=(powerset @ X806)))&((((X807)!=(X808))|((setunion @ X807)=(setunion @ X808)))&(((omega)=(omega))&((((X809 @ (esk45_2 @ X809 @ X810))|~(X809 @ X810)|(~(X809 @ X812)|(~(X809 @ X813)|((X812)=(X813)))))&(((X810)!=(esk45_2 @ X809 @ X810))|~(X809 @ X810)|(~(X809 @ X812)|(~(X809 @ X813)|((X812)=(X813))))))&((((((X815 @ (esk49_3 @ X814 @ X815 @ X820))|~(X815 @ X820)|((descr @ (^[Z0/* 3 */:$i]:((X814 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X815 @ Z0)))))|((X814 @ (esk48_3 @ X814 @ X815 @ X818))|~(X814 @ X818))|((esk46_2 @ X814 @ X815)=(esk47_2 @ X814 @ X815)))&(((X820)!=(esk49_3 @ X814 @ X815 @ X820))|~(X815 @ X820)|((descr @ (^[Z0/* 3 */:$i]:((X814 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X815 @ Z0)))))|((X814 @ (esk48_3 @ X814 @ X815 @ X818))|~(X814 @ X818))|((esk46_2 @ X814 @ X815)=(esk47_2 @ X814 @ X815))))&(((X815 @ (esk49_3 @ X814 @ X815 @ X820))|~(X815 @ X820)|((descr @ (^[Z0/* 3 */:$i]:((X814 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X815 @ Z0)))))|(((X818)!=(esk48_3 @ X814 @ X815 @ X818))|~(X814 @ X818))|((esk46_2 @ X814 @ X815)=(esk47_2 @ X814 @ X815)))&(((X820)!=(esk49_3 @ X814 @ X815 @ X820))|~(X815 @ X820)|((descr @ (^[Z0/* 3 */:$i]:((X814 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X815 @ Z0)))))|(((X818)!=(esk48_3 @ X814 @ X815 @ X818))|~(X814 @ X818))|((esk46_2 @ X814 @ X815)=(esk47_2 @ X814 @ X815)))))&(((((X815 @ (esk49_3 @ X814 @ X815 @ X820))|~(X815 @ X820)|((descr @ (^[Z0/* 3 */:$i]:((X814 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X815 @ Z0)))))|((X814 @ (esk48_3 @ X814 @ X815 @ X818))|~(X814 @ X818))|(~(X814 @ (esk46_2 @ X814 @ X815))|~(X815 @ (esk47_2 @ X814 @ X815))))&(((X820)!=(esk49_3 @ X814 @ X815 @ X820))|~(X815 @ X820)|((descr @ (^[Z0/* 3 */:$i]:((X814 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X815 @ Z0)))))|((X814 @ (esk48_3 @ X814 @ X815 @ X818))|~(X814 @ X818))|(~(X814 @ (esk46_2 @ X814 @ X815))|~(X815 @ (esk47_2 @ X814 @ X815)))))&(((X815 @ (esk49_3 @ X814 @ X815 @ X820))|~(X815 @ X820)|((descr @ (^[Z0/* 3 */:$i]:((X814 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X815 @ Z0)))))|(((X818)!=(esk48_3 @ X814 @ X815 @ X818))|~(X814 @ X818))|(~(X814 @ (esk46_2 @ X814 @ X815))|~(X815 @ (esk47_2 @ X814 @ X815))))&(((X820)!=(esk49_3 @ X814 @ X815 @ X820))|~(X815 @ X820)|((descr @ (^[Z0/* 3 */:$i]:((X814 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X815 @ Z0)))))|(((X818)!=(esk48_3 @ X814 @ X815 @ X818))|~(X814 @ X818))|(~(X814 @ (esk46_2 @ X814 @ X815))|~(X815 @ (esk47_2 @ X814 @ X815))))))&((((X815 @ (esk49_3 @ X814 @ X815 @ X820))|~(X815 @ X820)|((descr @ (^[Z0/* 3 */:$i]:((X814 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X815 @ Z0)))))|((X814 @ (esk48_3 @ X814 @ X815 @ X818))|~(X814 @ X818))|((X814 @ (esk46_2 @ X814 @ X815))|(X815 @ (esk47_2 @ X814 @ X815))))&(((X820)!=(esk49_3 @ X814 @ X815 @ X820))|~(X815 @ X820)|((descr @ (^[Z0/* 3 */:$i]:((X814 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X815 @ Z0)))))|((X814 @ (esk48_3 @ X814 @ X815 @ X818))|~(X814 @ X818))|((X814 @ (esk46_2 @ X814 @ X815))|(X815 @ (esk47_2 @ X814 @ X815)))))&(((X815 @ (esk49_3 @ X814 @ X815 @ X820))|~(X815 @ X820)|((descr @ (^[Z0/* 3 */:$i]:((X814 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X815 @ Z0)))))|(((X818)!=(esk48_3 @ X814 @ X815 @ X818))|~(X814 @ X818))|((X814 @ (esk46_2 @ X814 @ X815))|(X815 @ (esk47_2 @ X814 @ X815))))&(((X820)!=(esk49_3 @ X814 @ X815 @ X820))|~(X815 @ X820)|((descr @ (^[Z0/* 3 */:$i]:((X814 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X815 @ Z0)))))|(((X818)!=(esk48_3 @ X814 @ X815 @ X818))|~(X814 @ X818))|((X814 @ (esk46_2 @ X814 @ X815))|(X815 @ (esk47_2 @ X814 @ X815))))))))&((((in @ (esk50_4 @ X822 @ X823 @ X824 @ X825) @ X822)|((dsetconstr @ X822 @ (^[Z0/* 3 */:$i]:((X824 @ Z0))))=(dsetconstr @ X823 @ (^[Z0/* 3 */:$i]:((X825 @ Z0)))))|((X822)!=(X823)))&(((in @ (esk51_4 @ X822 @ X823 @ X824 @ X825) @ X823)|((dsetconstr @ X822 @ (^[Z0/* 3 */:$i]:((X824 @ Z0))))=(dsetconstr @ X823 @ (^[Z0/* 3 */:$i]:((X825 @ Z0)))))|((X822)!=(X823)))&((((esk50_4 @ X822 @ X823 @ X824 @ X825)=(esk51_4 @ X822 @ X823 @ X824 @ X825))|((dsetconstr @ X822 @ (^[Z0/* 3 */:$i]:((X824 @ Z0))))=(dsetconstr @ X823 @ (^[Z0/* 3 */:$i]:((X825 @ Z0)))))|((X822)!=(X823)))&((~(X824 @ (esk50_4 @ X822 @ X823 @ X824 @ X825))|~(X825 @ (esk51_4 @ X822 @ X823 @ X824 @ X825))|((dsetconstr @ X822 @ (^[Z0/* 3 */:$i]:((X824 @ Z0))))=(dsetconstr @ X823 @ (^[Z0/* 3 */:$i]:((X825 @ Z0)))))|((X822)!=(X823)))&((X824 @ (esk50_4 @ X822 @ X823 @ X824 @ X825))|(X825 @ (esk51_4 @ X822 @ X823 @ X824 @ X825))|((dsetconstr @ X822 @ (^[Z0/* 3 */:$i]:((X824 @ Z0))))=(dsetconstr @ X823 @ (^[Z0/* 3 */:$i]:((X825 @ Z0)))))|((X822)!=(X823)))))))&((((in @ (esk52_2 @ X828 @ X829) @ X828)|(subset @ X828 @ X829))&(~(in @ (esk52_2 @ X828 @ X829) @ X829)|(subset @ X828 @ X829)))&((((X831)!=(X832))|(subset @ X832 @ X831))&((((X833)!=(X834))|(subset @ X833 @ X834))&((((in @ (esk53_2 @ X835 @ X836) @ X835)|(subset @ X835 @ X836))&(~(in @ (esk53_2 @ X835 @ X836) @ X836)|(subset @ X835 @ X836)))&((subset @ emptyset @ X838)&((~(subset @ X839 @ X840)|(~(in @ X841 @ X839)|(in @ X841 @ X840)))&((~(subset @ X842 @ X843)|((in @ X844 @ X843)|~(in @ X844 @ X842)))&((~(in @ X847 @ X845)|((in @ X847 @ X846)|~(subset @ X845 @ X846)))&(((subset @ X848 @ X849)|((X848)!=(X849)))&((~(in @ X852 @ X850)|((in @ X852 @ X851)|((X850)!=(X851))))&((subset @ X853 @ X853)&((~(subset @ X854 @ X855)|(~(subset @ X855 @ X856)|(subset @ X854 @ X856)))&((subset @ X858 @ (setadjoin @ X857 @ X858))&((~(subset @ X859 @ X861)|(subset @ X859 @ (setadjoin @ X860 @ X861)))&((~(subset @ X862 @ X863)|(in @ X862 @ (powerset @ X863)))&((~(subset @ X864 @ X865)|(~(subset @ X865 @ X864)|((X864)=(X865))))&((~(subset @ X866 @ emptyset)|((X866)=(emptyset)))&((~(subset @ X868 @ X867)|(in @ X868 @ (powerset @ X867)))&((~(in @ X870 @ (powerset @ X869))|(subset @ X870 @ X869))&((in @ X871 @ (powerset @ X871))&((~(subset @ X872 @ X873)|(subset @ (powerset @ X872) @ (powerset @ X873)))&((in @ (dsetconstr @ X874 @ (^[Z0/* 3 */:$i]:((X875 @ Z0)))) @ (powerset @ X874))&~(subset @ (dsetconstr @ esk54_0 @ (^[Z0/* 3 */:$i]:((epred2_0 @ Z0)))) @ esk54_0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_139])])])])])])).
0.16/0.50	thf(c_0_141, negated_conjecture, ![X2:$i, X3:$i]:(((subset @ X2 @ X3)|~((in @ X2 @ (powerset @ X3))))), inference(split_conjunct,[status(thm)],[c_0_140])).
0.16/0.50	thf(c_0_142, negated_conjecture, ![X1:$i > $o, X2:$i]:((in @ (dsetconstr @ X2 @ X1) @ (powerset @ X2))), inference(split_conjunct,[status(thm)],[c_0_140])).
0.16/0.50	thf(c_0_143, negated_conjecture, ~((subset @ (dsetconstr @ esk54_0 @ epred2_0) @ esk54_0)), inference(split_conjunct,[status(thm)],[c_0_140])).
0.16/0.50	thf(c_0_144, negated_conjecture, ![X1:$i > $o, X2:$i]:((subset @ (dsetconstr @ X2 @ X1) @ X2)), inference(spm,[status(thm)],[c_0_141, c_0_142])).
0.16/0.50	thf(c_0_145, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_143, c_0_144])]), ['proof']).
0.16/0.50	# SZS output end CNFRefutation
0.16/0.50	# Parsed axioms                        : 212
0.16/0.50	# Removed by relevancy pruning/SinE    : 113
0.16/0.50	# Initial clauses                      : 207
0.16/0.50	# Removed in clause preprocessing      : 13
0.16/0.50	# Initial clauses in saturation        : 194
0.16/0.50	# Processed clauses                    : 250
0.16/0.50	# ...of these trivial                  : 3
0.16/0.50	# ...subsumed                          : 20
0.16/0.50	# ...remaining for further processing  : 227
0.16/0.50	# Other redundant clauses eliminated   : 14
0.16/0.50	# Clauses deleted for lack of memory   : 0
0.16/0.50	# Backward-subsumed                    : 0
0.16/0.50	# Backward-rewritten                   : 3
0.16/0.50	# Generated clauses                    : 94
0.16/0.50	# ...of the previous two non-redundant : 76
0.16/0.50	# ...aggressively subsumed             : 0
0.16/0.50	# Contextual simplify-reflections      : 0
0.16/0.50	# Paramodulations                      : 80
0.16/0.50	# Factorizations                       : 0
0.16/0.50	# NegExts                              : 0
0.16/0.50	# Equation resolutions                 : 14
0.16/0.50	# Total rewrite steps                  : 32
0.16/0.50	# Propositional unsat checks           : 0
0.16/0.50	#    Propositional check models        : 0
0.16/0.50	#    Propositional check unsatisfiable : 0
0.16/0.50	#    Propositional clauses             : 0
0.16/0.50	#    Propositional clauses after purity: 0
0.16/0.50	#    Propositional unsat core size     : 0
0.16/0.50	#    Propositional preprocessing time  : 0.000
0.16/0.50	#    Propositional encoding time       : 0.000
0.16/0.50	#    Propositional solver time         : 0.000
0.16/0.50	#    Success case prop preproc time    : 0.000
0.16/0.50	#    Success case prop encoding time   : 0.000
0.16/0.50	#    Success case prop solver time     : 0.000
0.16/0.50	# Current number of processed clauses  : 42
0.16/0.50	#    Positive orientable unit clauses  : 17
0.16/0.50	#    Positive unorientable unit clauses: 0
0.16/0.50	#    Negative unit clauses             : 1
0.16/0.50	#    Non-unit-clauses                  : 24
0.16/0.50	# Current number of unprocessed clauses: 187
0.16/0.50	# ...number of literals in the above   : 633
0.16/0.50	# Current number of archived formulas  : 0
0.16/0.50	# Current number of archived clauses   : 172
0.16/0.50	# Clause-clause subsumption calls (NU) : 5128
0.16/0.50	# Rec. Clause-clause subsumption calls : 1542
0.16/0.50	# Non-unit clause-clause subsumptions  : 16
0.16/0.50	# Unit Clause-clause subsumption calls : 15
0.16/0.50	# Rewrite failures with RHS unbound    : 0
0.16/0.50	# BW rewrite match attempts            : 12
0.16/0.50	# BW rewrite match successes           : 3
0.16/0.50	# Condensation attempts                : 250
0.16/0.50	# Condensation successes               : 3
0.16/0.50	# Termbank termtop insertions          : 28367
0.16/0.50	
0.16/0.50	# -------------------------------------------------
0.16/0.50	# User time                : 0.038 s
0.16/0.50	# System time              : 0.006 s
0.16/0.50	# Total time               : 0.044 s
0.16/0.50	# Maximum resident set size: 4492 pages
0.48/180.02	
0.48/180.02	# -------------------------------------------------
0.48/180.02	# User time                : 0.043 s
0.48/180.02	# System time              : 0.007 s
0.48/180.02	# Total time               : 0.051 s
0.48/180.02	# Maximum resident set size: 1944 pages
0.48/180.02	% E---3.1 exiting
0.48/180.03	EOF