0.07/0.13	% Problem    : Vampire---4.8_11651 : TPTP v0.0.0. Released v0.0.0.
0.07/0.14	% Command    : run_E %s %d THM
0.15/0.35	% Computer : n010.cluster.edu
0.15/0.35	% Model    : x86_64 x86_64
0.15/0.35	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.15/0.35	% Memory   : 8042.1875MB
0.15/0.35	% OS       : Linux 3.10.0-693.el7.x86_64
0.15/0.35	% CPULimit   : 1440
0.15/0.35	% WCLimit    : 180
0.15/0.35	% DateTime   : Mon Jul  3 12:41:39 EDT 2023
0.15/0.35	% CPUTime    : 
0.22/0.49	Running higher-order theorem provingRunning: /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.ilJElaMFW5/Vampire---4.8_11651
0.22/0.50	# Version: 3.1pre001-ho
26.00/3.82	# Preprocessing class: HSMMSLSSLLLCHFA.
26.00/3.82	# Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
26.00/3.82	# Starting ehoh_best3_avoidappvar with 900s (5) cores
26.00/3.82	# Starting ehoh_best3_rw with 180s (1) cores
26.00/3.82	# Starting almost_fo_3 with 180s (1) cores
26.00/3.82	# Starting new_ho_13 with 180s (1) cores
26.00/3.82	# ehoh_best3_rw with pid 11831 completed with status 0
26.00/3.82	# Result found by ehoh_best3_rw
26.00/3.82	# Preprocessing class: HSMMSLSSLLLCHFA.
26.00/3.82	# Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
26.00/3.82	# Starting ehoh_best3_avoidappvar with 900s (5) cores
26.00/3.82	# Starting ehoh_best3_rw with 180s (1) cores
26.00/3.82	# SinE strategy is gf120_gu_RUU_F100_L01000
26.00/3.82	# Search class: HGHSM-FSLM31-SHFMMSBN
26.00/3.82	# Scheduled 6 strats onto 1 cores with 180 seconds (180 total)
26.00/3.82	# Starting ehoh_best3 with 98s (1) cores
26.00/3.82	# ehoh_best3 with pid 11834 completed with status 0
26.00/3.82	# Result found by ehoh_best3
26.00/3.82	# Preprocessing class: HSMMSLSSLLLCHFA.
26.00/3.82	# Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
26.00/3.82	# Starting ehoh_best3_avoidappvar with 900s (5) cores
26.00/3.82	# Starting ehoh_best3_rw with 180s (1) cores
26.00/3.82	# SinE strategy is gf120_gu_RUU_F100_L01000
26.00/3.82	# Search class: HGHSM-FSLM31-SHFMMSBN
26.00/3.82	# Scheduled 6 strats onto 1 cores with 180 seconds (180 total)
26.00/3.82	# Starting ehoh_best3 with 98s (1) cores
26.00/3.82	# Preprocessing time       : 0.004 s
26.00/3.82	# Presaturation interreduction done
26.00/3.82	
26.00/3.82	# Proof found!
26.00/3.82	# SZS status Theorem
26.00/3.82	# SZS output start CNFRefutation
26.00/3.82	thf(decl_22, type, in: $i > $i > $o).
26.00/3.82	thf(decl_23, type, exu: ($i > $o) > $o).
26.00/3.82	thf(decl_24, type, setextAx: $o).
26.00/3.82	thf(decl_25, type, emptyset: $i).
26.00/3.82	thf(decl_26, type, emptysetAx: $o).
26.00/3.82	thf(decl_27, type, setadjoin: $i > $i > $i).
26.00/3.82	thf(decl_28, type, setadjoinAx: $o).
26.00/3.82	thf(decl_29, type, powerset: $i > $i).
26.00/3.82	thf(decl_30, type, powersetAx: $o).
26.00/3.82	thf(decl_31, type, setunion: $i > $i).
26.00/3.82	thf(decl_32, type, setunionAx: $o).
26.00/3.82	thf(decl_33, type, omega: $i).
26.00/3.82	thf(decl_34, type, omega0Ax: $o).
26.00/3.82	thf(decl_35, type, omegaSAx: $o).
26.00/3.82	thf(decl_36, type, omegaIndAx: $o).
26.00/3.82	thf(decl_37, type, replAx: $o).
26.00/3.82	thf(decl_38, type, foundationAx: $o).
26.00/3.82	thf(decl_39, type, wellorderingAx: $o).
26.00/3.82	thf(decl_40, type, descr: ($i > $o) > $i).
26.00/3.82	thf(decl_41, type, descrp: $o).
26.00/3.82	thf(decl_42, type, dsetconstr: $i > ($i > $o) > $i).
26.00/3.82	thf(decl_43, type, dsetconstrI: $o).
26.00/3.82	thf(decl_44, type, dsetconstrEL: $o).
26.00/3.82	thf(decl_45, type, dsetconstrER: $o).
26.00/3.82	thf(decl_46, type, exuE1: $o).
26.00/3.82	thf(decl_47, type, prop2set: $o > $i).
26.00/3.82	thf(decl_48, type, prop2setE: $o).
26.00/3.82	thf(decl_49, type, emptysetE: $o).
26.00/3.82	thf(decl_50, type, emptysetimpfalse: $o).
26.00/3.82	thf(decl_51, type, notinemptyset: $o).
26.00/3.82	thf(decl_52, type, exuE3e: $o).
26.00/3.82	thf(decl_53, type, setext: $o).
26.00/3.82	thf(decl_54, type, emptyI: $o).
26.00/3.82	thf(decl_55, type, noeltsimpempty: $o).
26.00/3.82	thf(decl_56, type, setbeta: $o).
26.00/3.82	thf(decl_57, type, nonempty: $i > $o).
26.00/3.82	thf(decl_58, type, nonemptyE1: $o).
26.00/3.82	thf(decl_59, type, nonemptyI: $o).
26.00/3.82	thf(decl_60, type, nonemptyI1: $o).
26.00/3.82	thf(decl_61, type, setadjoinIL: $o).
26.00/3.82	thf(decl_62, type, emptyinunitempty: $o).
26.00/3.82	thf(decl_63, type, setadjoinIR: $o).
26.00/3.82	thf(decl_64, type, setadjoinE: $o).
26.00/3.82	thf(decl_65, type, setadjoinOr: $o).
26.00/3.82	thf(decl_66, type, setoftrueEq: $o).
26.00/3.82	thf(decl_67, type, powersetI: $o).
26.00/3.82	thf(decl_68, type, emptyinPowerset: $o).
26.00/3.82	thf(decl_69, type, emptyInPowerset: $o).
26.00/3.82	thf(decl_70, type, powersetE: $o).
26.00/3.82	thf(decl_71, type, setunionI: $o).
26.00/3.82	thf(decl_72, type, setunionE: $o).
26.00/3.82	thf(decl_73, type, subPowSU: $o).
26.00/3.82	thf(decl_74, type, exuE2: $o).
26.00/3.82	thf(decl_75, type, nonemptyImpWitness: $o).
26.00/3.82	thf(decl_76, type, uniqinunit: $o).
26.00/3.82	thf(decl_77, type, notinsingleton: $o).
26.00/3.82	thf(decl_78, type, eqinunit: $o).
26.00/3.82	thf(decl_79, type, singletonsswitch: $o).
26.00/3.82	thf(decl_80, type, upairsetE: $o).
26.00/3.82	thf(decl_81, type, upairsetIL: $o).
26.00/3.82	thf(decl_82, type, upairsetIR: $o).
26.00/3.82	thf(decl_83, type, emptyE1: $o).
26.00/3.82	thf(decl_84, type, vacuousDall: $o).
26.00/3.82	thf(decl_85, type, quantDeMorgan1: $o).
26.00/3.82	thf(decl_86, type, quantDeMorgan2: $o).
26.00/3.82	thf(decl_87, type, quantDeMorgan3: $o).
26.00/3.82	thf(decl_88, type, quantDeMorgan4: $o).
26.00/3.82	thf(decl_89, type, prop2setI: $o).
26.00/3.82	thf(decl_91, type, prop2set2propI: $o).
26.00/3.82	thf(decl_92, type, notdexE: $o).
26.00/3.82	thf(decl_93, type, notdallE: $o).
26.00/3.82	thf(decl_94, type, exuI1: $o).
26.00/3.82	thf(decl_95, type, exuI3: $o).
26.00/3.82	thf(decl_96, type, exuI2: $o).
26.00/3.82	thf(decl_97, type, inCongP: $o).
26.00/3.82	thf(decl_98, type, in__Cong: $o).
26.00/3.82	thf(decl_99, type, exuE3u: $o).
26.00/3.82	thf(decl_100, type, exu__Cong: $o).
26.00/3.82	thf(decl_101, type, emptyset__Cong: $o).
26.00/3.82	thf(decl_102, type, setadjoin__Cong: $o).
26.00/3.82	thf(decl_103, type, powerset__Cong: $o).
26.00/3.82	thf(decl_104, type, setunion__Cong: $o).
26.00/3.82	thf(decl_105, type, omega__Cong: $o).
26.00/3.82	thf(decl_106, type, exuEu: $o).
26.00/3.82	thf(decl_107, type, descr__Cong: $o).
26.00/3.82	thf(decl_108, type, dsetconstr__Cong: $o).
26.00/3.82	thf(decl_109, type, subset: $i > $i > $o).
26.00/3.82	thf(decl_112, type, subsetI1: $o).
26.00/3.82	thf(decl_113, type, eqimpsubset2: $o).
26.00/3.82	thf(decl_114, type, eqimpsubset1: $o).
26.00/3.82	thf(decl_115, type, subsetI2: $o).
26.00/3.82	thf(decl_116, type, emptysetsubset: $o).
26.00/3.82	thf(decl_117, type, subsetE: $o).
26.00/3.82	thf(decl_118, type, subsetE2: $o).
26.00/3.82	thf(decl_119, type, notsubsetI: $o).
26.00/3.82	thf(decl_120, type, notequalI1: $o).
26.00/3.82	thf(decl_121, type, notequalI2: $o).
26.00/3.82	thf(decl_122, type, subsetRefl: $o).
26.00/3.82	thf(decl_123, type, subsetTrans: $o).
26.00/3.82	thf(decl_124, type, setadjoinSub: $o).
26.00/3.82	thf(decl_125, type, setadjoinSub2: $o).
26.00/3.82	thf(decl_126, type, subset2powerset: $o).
26.00/3.82	thf(decl_127, type, setextsub: $o).
26.00/3.82	thf(decl_128, type, subsetemptysetimpeq: $o).
26.00/3.82	thf(decl_129, type, powersetI1: $o).
26.00/3.82	thf(decl_130, type, powersetE1: $o).
26.00/3.82	thf(decl_131, type, inPowerset: $o).
26.00/3.82	thf(decl_132, type, epred1_0: $o).
26.00/3.82	thf(decl_133, type, esk1_2: $i > $i > $i).
26.00/3.82	thf(decl_134, type, esk2_2: $i > $i > $i).
26.00/3.82	thf(decl_135, type, esk3_2: $i > $i > $i).
26.00/3.82	thf(decl_136, type, esk4_1: $i > $i).
26.00/3.82	thf(decl_137, type, esk5_2: ($i > $i > $o) > $i > $i).
26.00/3.82	thf(decl_138, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
26.00/3.82	thf(decl_139, type, esk7_2: ($i > $i > $o) > $i > $i).
26.00/3.82	thf(decl_140, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
26.00/3.82	thf(decl_141, type, esk9_1: $i > $i).
26.00/3.82	thf(decl_142, type, esk10_2: ($i > $o) > $i > $i).
26.00/3.82	thf(decl_143, type, esk11_2: ($i > $o) > $i > $i).
26.00/3.82	thf(decl_144, type, esk12_1: ($i > $o) > $i).
26.00/3.82	thf(decl_145, type, esk13_2: ($i > $o) > $i > $i).
26.00/3.82	thf(decl_146, type, esk14_1: ($i > $o) > $i).
26.00/3.82	thf(decl_147, type, esk15_2: $i > $i > $i).
26.00/3.82	thf(decl_148, type, esk16_2: $i > $i > $i).
26.00/3.82	thf(decl_149, type, esk17_1: $i > $i).
26.00/3.82	thf(decl_150, type, esk18_1: $i > $i).
26.00/3.82	thf(decl_151, type, esk19_1: $i > $i).
26.00/3.82	thf(decl_152, type, esk20_2: $i > $i > $i).
26.00/3.82	thf(decl_153, type, esk21_3: $i > $i > $o > $i).
26.00/3.82	thf(decl_154, type, esk22_2: ($i > $o) > $i > $i).
26.00/3.82	thf(decl_155, type, esk23_1: ($i > $o) > $i).
26.00/3.82	thf(decl_156, type, esk24_1: $i > $i).
26.00/3.82	thf(decl_157, type, esk25_2: $i > ($i > $o) > $i).
26.00/3.82	thf(decl_158, type, esk26_2: $i > ($i > $o) > $i).
26.00/3.82	thf(decl_159, type, esk27_2: $i > ($i > $o) > $i).
26.00/3.82	thf(decl_160, type, esk28_2: $i > ($i > $o) > $i).
26.00/3.82	thf(decl_161, type, esk29_2: $i > ($i > $o) > $i).
26.00/3.82	thf(decl_162, type, esk30_2: $i > ($i > $o) > $i).
26.00/3.82	thf(decl_163, type, esk31_2: ($i > $o) > $i > $i).
26.00/3.82	thf(decl_164, type, esk32_1: ($i > $o) > $i).
26.00/3.82	thf(decl_165, type, esk33_1: ($i > $o) > $i).
26.00/3.82	thf(decl_166, type, esk34_1: ($i > $o) > $i).
26.00/3.82	thf(decl_167, type, esk35_1: ($i > $o) > $i).
26.00/3.82	thf(decl_168, type, esk36_2: ($i > $o) > $i > $i).
26.00/3.82	thf(decl_169, type, esk37_1: ($i > $o) > $i).
26.00/3.82	thf(decl_170, type, esk38_2: ($i > $o) > $i > $i).
26.00/3.82	thf(decl_171, type, esk39_2: ($i > $o) > ($i > $o) > $i).
26.00/3.82	thf(decl_172, type, esk40_2: ($i > $o) > ($i > $o) > $i).
26.00/3.82	thf(decl_173, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
26.00/3.82	thf(decl_174, type, esk42_2: ($i > $o) > ($i > $o) > $i).
26.00/3.82	thf(decl_175, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
26.00/3.82	thf(decl_176, type, esk44_2: ($i > $o) > ($i > $o) > $i).
26.00/3.82	thf(decl_177, type, esk45_2: ($i > $o) > $i > $i).
26.00/3.82	thf(decl_178, type, esk46_2: ($i > $o) > ($i > $o) > $i).
26.00/3.82	thf(decl_179, type, esk47_2: ($i > $o) > ($i > $o) > $i).
26.00/3.82	thf(decl_180, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
26.00/3.82	thf(decl_181, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
26.00/3.82	thf(decl_182, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
26.00/3.82	thf(decl_183, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
26.00/3.82	thf(decl_184, type, esk52_2: $i > $i > $i).
26.00/3.82	thf(decl_185, type, esk53_2: $i > $i > $i).
26.00/3.82	thf(decl_186, type, esk54_0: $i).
26.00/3.82	thf(decl_187, type, esk55_0: $i).
26.00/3.82	thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', nonempty)).
26.00/3.82	thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', descrp)).
26.00/3.82	thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', exu)).
26.00/3.82	thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', replAx)).
26.00/3.82	thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', exuI2)).
26.00/3.82	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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', descr__Cong)).
26.00/3.82	thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', exuEu)).
26.00/3.82	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:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', exu__Cong)).
26.00/3.82	thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', exuE3u)).
26.00/3.82	thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', exuI3)).
26.00/3.82	thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', exuI1)).
26.00/3.82	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.ilJElaMFW5/Vampire---4.8_11651', exuE2)).
26.00/3.82	thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', nonemptyI)).
26.00/3.82	thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', exuE3e)).
26.00/3.82	thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', exuE1)).
26.00/3.82	thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', setoftrueEq)).
26.00/3.82	thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', nonemptyI1)).
26.00/3.82	thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', setbeta)).
26.00/3.82	thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', nonemptyImpWitness)).
26.00/3.82	thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', dsetconstrI)).
26.00/3.82	thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', dsetconstr__Cong)).
26.00/3.82	thf(emptyE1, axiom, ((emptyE1)<=>![X4:$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.ilJElaMFW5/Vampire---4.8_11651', emptyE1)).
26.00/3.82	thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', nonemptyE1)).
26.00/3.82	thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', dsetconstrER)).
26.00/3.82	thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', dsetconstrEL)).
26.00/3.82	thf(powersetsubset, conjecture, ((setextAx)=>((emptysetAx)=>(((powersetAx)=>((((omegaSAx)=>((omegaIndAx)=>((((wellorderingAx)=>((((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>(((emptysetimpfalse)=>(((exuE3e)=>((setext)=>((emptyI)=>((((nonemptyE1)=>((nonemptyI)=>(((setadjoinIL)=>((((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>(((nonemptyImpWitness)=>(((notinsingleton)=>((((((upairsetIR)=>(((((quantDeMorgan2)=>((quantDeMorgan3)=>(((prop2setI)=>(((notdexE)=>((notdallE)=>((((exuI2)=>(((in__Cong)=>(((((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((((dsetconstr__Cong)=>((((((emptysetsubset)=>((subsetE)=>(((notsubsetI)=>((notequalI1)=>((notequalI2)=>((((setadjoinSub)=>((setadjoinSub2)=>(((setextsub)=>((subsetemptysetimpeq)=>((powersetI1)=>((powersetE1)=>(![X4:$i, X5:$i]:(((subset @ (powerset @ X4) @ (powerset @ X5))<=(subset @ X4 @ X5)))<=(inPowerset))))))<=(subset2powerset))))<=(subsetTrans))<=(subsetRefl)))))<=(subsetE2))))<=(subsetI2))<=(eqimpsubset1))<=(eqimpsubset2))<=(subsetI1)))<=(descr__Cong))<=(exuEu))))))<=(emptyset__Cong))<=(exu__Cong))<=(exuE3u)))<=(inCongP)))<=(exuI3))<=(exuI1))))<=(prop2set2propI)))<=(quantDeMorgan4))))<=(quantDeMorgan1))<=(vacuousDall))<=(emptyE1)))<=(upairsetIL))<=(upairsetE))<=(singletonsswitch))<=(eqinunit)))<=(uniqinunit)))<=(exuE2))))))<=(emptyInPowerset))<=(emptyinPowerset))))))<=(setadjoinIR))<=(emptyinunitempty)))<=(nonemptyI1))))<=(setbeta))<=(noeltsimpempty)))))<=(notinemptyset)))<=(emptysetE))))))<=(dsetconstrI))<=(descrp)))<=(foundationAx))<=(replAx))))<=(omega0Ax))<=(setunionAx)))<=(setadjoinAx)))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', powersetsubset)).
26.00/3.82	thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', setadjoinAx)).
26.00/3.82	thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', emptyInPowerset)).
26.00/3.82	thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', setadjoinOr)).
26.00/3.82	thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', emptyinPowerset)).
26.00/3.82	thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', setunionE)).
26.00/3.82	thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', setadjoinIR)).
26.00/3.82	thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', emptyinunitempty)).
26.00/3.82	thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', subPowSU)).
26.00/3.82	thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', noeltsimpempty)).
26.00/3.82	thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', notinemptyset)).
26.00/3.82	thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', emptysetE)).
26.00/3.82	thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', notinsingleton)).
26.00/3.82	thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', foundationAx)).
26.00/3.82	thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', upairsetIR)).
26.00/3.82	thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', omega0Ax)).
26.00/3.82	thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', setunionAx)).
26.00/3.82	thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', quantDeMorgan2)).
26.00/3.82	thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', quantDeMorgan3)).
26.00/3.82	thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', setadjoinSub)).
26.00/3.82	thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', prop2setI)).
26.00/3.82	thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', notdexE)).
26.00/3.82	thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', notdallE)).
26.00/3.82	thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', in__Cong)).
26.00/3.82	thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', setadjoin__Cong)).
26.00/3.82	thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', powerset__Cong)).
26.00/3.82	thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', setunion__Cong)).
26.00/3.82	thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', powersetI)).
26.00/3.82	thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', omega__Cong)).
26.00/3.82	thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', emptysetsubset)).
26.00/3.82	thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', subsetE)).
26.00/3.82	thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', notsubsetI)).
26.00/3.82	thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', notequalI1)).
26.00/3.82	thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', notequalI2)).
26.00/3.82	thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', setadjoinSub2)).
26.00/3.82	thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', setextsub)).
26.00/3.82	thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', subsetemptysetimpeq)).
26.00/3.82	thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', powersetI1)).
26.00/3.82	thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', powersetE1)).
26.00/3.82	thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', inPowerset)).
26.00/3.82	thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', subset2powerset)).
26.00/3.82	thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', subsetTrans)).
26.00/3.82	thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', powersetE)).
26.00/3.82	thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', subsetRefl)).
26.00/3.82	thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', subsetE2)).
26.00/3.82	thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', subsetI2)).
26.00/3.82	thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', eqimpsubset1)).
26.00/3.82	thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', eqimpsubset2)).
26.00/3.82	thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', subsetI1)).
26.00/3.82	thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', emptyset__Cong)).
26.00/3.82	thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', inCongP)).
26.00/3.82	thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', quantDeMorgan4)).
26.00/3.82	thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', quantDeMorgan1)).
26.00/3.82	thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', vacuousDall)).
26.00/3.82	thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', upairsetIL)).
26.00/3.82	thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', upairsetE)).
26.00/3.82	thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', singletonsswitch)).
26.00/3.82	thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', eqinunit)).
26.00/3.82	thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', uniqinunit)).
26.00/3.82	thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', setunionI)).
26.00/3.82	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.ilJElaMFW5/Vampire---4.8_11651', setadjoinE)).
26.00/3.82	thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', setadjoinIL)).
26.00/3.82	thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', emptyI)).
26.00/3.82	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.ilJElaMFW5/Vampire---4.8_11651', setext)).
26.00/3.82	thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', emptysetimpfalse)).
26.00/3.82	thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', prop2setE)).
26.00/3.82	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:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', wellorderingAx)).
26.00/3.82	thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$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.ilJElaMFW5/Vampire---4.8_11651', omegaIndAx)).
26.00/3.82	thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', omegaSAx)).
26.00/3.82	thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', powersetAx)).
26.00/3.82	thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', emptysetAx)).
26.00/3.82	thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.ilJElaMFW5/Vampire---4.8_11651', setextAx)).
26.00/3.82	thf(c_0_97, plain, ((nonempty)=(^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
26.00/3.82	thf(c_0_98, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
26.00/3.82	thf(c_0_99, plain, ((exu)=(^[Z0/* 5 */:$i > $o]:(?[X2:$i]:(((Z0 @ X2)&![X3:$i]:(((Z0 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exu])).
26.00/3.82	thf(c_0_100, plain, ((replAx)<=>![X6:$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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
26.00/3.82	thf(c_0_101, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
26.00/3.82	thf(c_0_102, 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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
26.00/3.82	thf(c_0_103, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
26.00/3.82	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 */:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
26.00/3.82	thf(c_0_105, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])).
26.00/3.82	thf(c_0_106, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
26.00/3.82	thf(c_0_107, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])).
26.00/3.82	thf(c_0_108, 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])).
26.00/3.82	thf(c_0_109, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
26.00/3.82	thf(c_0_110, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
26.00/3.82	thf(c_0_111, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
26.00/3.82	thf(c_0_112, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
26.00/3.82	thf(c_0_113, axiom, ((nonemptyI1)=(![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(((X4)!=(emptyset))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_97])).
26.00/3.82	thf(c_0_114, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
26.00/3.82	thf(c_0_115, axiom, ((nonemptyImpWitness)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:(((in @ X2 @ X4)&($true))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_97])).
26.00/3.82	thf(c_0_116, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
26.00/3.82	thf(c_0_117, plain, ((descrp)=(![X1:$i > $o]:(((?[X278:$i]:((((X1 @ X278))&![X279:$i]:((((X1 @ X279))=>((X278)=(X279)))))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(apply_def,[status(thm)],[c_0_98, c_0_99])).
26.00/3.82	thf(c_0_118, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(?[X276:$i]:((((X6 @ X2 @ X276))&![X277:$i]:((((X6 @ X2 @ X277))=>((X276)=(X277)))))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2)))))))))), inference(apply_def,[status(thm)],[c_0_100, c_0_99])).
26.00/3.82	thf(c_0_119, plain, ((exuI2)=(![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(?[X290:$i]:((((X1 @ X290))&![X291:$i]:((((X1 @ X291))=>((X290)=(X291))))))))))), inference(apply_def,[status(thm)],[c_0_101, c_0_99])).
26.00/3.82	thf(c_0_120, plain, ((dsetconstr__Cong)<=>![X4:$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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
26.00/3.82	thf(c_0_121, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X300:$i]:((((X1 @ X300))&![X301:$i]:((((X1 @ X301))=>((X300)=(X301)))))))=>((?[X302:$i]:((((X17 @ X302))&![X303:$i]:((((X17 @ X303))=>((X302)=(X303)))))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))))))))), inference(apply_def,[status(thm)],[c_0_102, c_0_99])).
26.00/3.82	thf(c_0_122, plain, ((exuEu)=(![X1:$i > $o]:(((?[X298:$i]:((((X1 @ X298))&![X299:$i]:((((X1 @ X299))=>((X298)=(X299)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_103, c_0_99])).
26.00/3.82	thf(c_0_123, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X294:$i]:((((X1 @ X294))&![X295:$i]:((((X1 @ X295))=>((X294)=(X295)))))))<=>(?[X296:$i]:((((X17 @ X296))&![X297:$i]:((((X17 @ X297))=>((X296)=(X297)))))))))))), inference(apply_def,[status(thm)],[c_0_104, c_0_99])).
26.00/3.82	thf(c_0_124, plain, ((exuE3u)=(![X1:$i > $o]:(((?[X292:$i]:((((X1 @ X292))&![X293:$i]:((((X1 @ X293))=>((X292)=(X293)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_105, c_0_99])).
26.00/3.82	thf(c_0_125, plain, ((exuI3)=(![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(?[X288:$i]:((((X1 @ X288))&![X289:$i]:((((X1 @ X289))=>((X288)=(X289)))))))))))), inference(apply_def,[status(thm)],[c_0_106, c_0_99])).
26.00/3.82	thf(c_0_126, plain, ((exuI1)=(![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(?[X286:$i]:((((X1 @ X286))&![X287:$i]:((((X1 @ X287))=>((X286)=(X287))))))))))), inference(apply_def,[status(thm)],[c_0_107, c_0_99])).
26.00/3.82	thf(c_0_127, plain, ((emptyE1)<=>![X4:$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])).
26.00/3.82	thf(c_0_128, plain, ((exuE2)=(![X1:$i > $o]:(((?[X284:$i]:((((X1 @ X284))&![X285:$i]:((((X1 @ X285))=>((X284)=(X285)))))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2))))))))), inference(apply_def,[status(thm)],[c_0_108, c_0_99])).
26.00/3.82	thf(c_0_129, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))!=(emptyset)))))))), inference(apply_def,[status(thm)],[c_0_109, c_0_97])).
26.00/3.82	thf(c_0_130, axiom, ((nonemptyE1)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:((in @ X2 @ X4)))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_97])).
26.00/3.82	thf(c_0_131, plain, ((exuE3e)=(![X1:$i > $o]:(((?[X282:$i]:((((X1 @ X282))&![X283:$i]:((((X1 @ X283))=>((X282)=(X283)))))))=>?[X2:$i]:((X1 @ X2)))))), inference(apply_def,[status(thm)],[c_0_110, c_0_99])).
26.00/3.82	thf(c_0_132, plain, ((exuE1)=(![X1:$i > $o]:(((?[X280:$i]:((((X1 @ X280))&![X281:$i]:((((X1 @ X281))=>((X280)=(X281)))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))), inference(apply_def,[status(thm)],[c_0_111, c_0_99])).
26.00/3.82	thf(c_0_133, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
26.00/3.82	thf(c_0_134, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
26.00/3.82	thf(c_0_135, plain, ((epred1_0)<=>![X315:$i]:(?[X316:$i]:((((![X317:$i]:(((in @ X317 @ X316)=>![X318:$i]:(((in @ X318 @ X317)=>(in @ X318 @ X315)))))&![X319:$i, X320:$i]:((((in @ X319 @ X315)&(in @ X320 @ X315))=>(![X321:$i]:(((in @ X321 @ X316)=>((in @ X319 @ X321)<=>(in @ X320 @ X321))))=>((X319)=(X320))))))&![X322:$i, X323:$i]:((((in @ X322 @ X316)&(in @ X323 @ X316))=>(![X324:$i]:(((in @ X324 @ X322)=>(in @ X324 @ X323)))|![X325:$i]:(((in @ X325 @ X323)=>(in @ X325 @ X322)))))))&![X326:$i]:(((![X327:$i]:(((in @ X327 @ X326)=>(in @ X327 @ X315)))&?[X328:$i]:((in @ X328 @ X326)))=>?[X329:$i, X330:$i]:(((((in @ X329 @ X316)&(in @ X330 @ X326))&~(?[X331:$i]:(((in @ X331 @ X329)&(in @ X331 @ X326)))))&![X332:$i]:(((in @ X332 @ X316)=>(![X333:$i]:(((in @ X333 @ X332)=>(in @ X333 @ X329)))|(in @ X330 @ X332)))))))))))), introduced(definition)).
26.00/3.82	thf(c_0_136, negated_conjecture, ~((![X304:$i, X305:$i]:((![X306:$i]:(((in @ X306 @ X304)<=>(in @ X306 @ X305)))=>((X304)=(X305))))=>(![X307:$i]:(~(in @ X307 @ emptyset))=>(![X584:$i, X585:$i, X586:$i]:(((in @ X586 @ (setadjoin @ X584 @ X585))<=>(((X586)=(X584))|(in @ X586 @ X585))))=>(![X308:$i, X309:$i]:(((in @ X309 @ (powerset @ X308))<=>![X310:$i]:(((in @ X310 @ X309)=>(in @ X310 @ X308)))))=>(![X581:$i, X582:$i]:(((in @ X582 @ (setunion @ X581))<=>?[X583:$i]:(((in @ X582 @ X583)&(in @ X583 @ X581)))))=>((in @ emptyset @ omega)=>(![X311:$i]:(((in @ X311 @ omega)=>(in @ (setadjoin @ X311 @ X311) @ omega)))=>(![X312:$i]:((((in @ emptyset @ X312)&![X313:$i]:((((in @ X313 @ omega)&(in @ X313 @ X312))=>(in @ (setadjoin @ X313 @ X313) @ X312))))=>![X314:$i]:(((in @ X314 @ omega)=>(in @ X314 @ X312)))))=>(![X573:$i > $i > $o, X574:$i]:((![X575:$i]:(((in @ X575 @ X574)=>?[X576:$i]:(((X573 @ X575 @ X576)&![X577:$i]:(((X573 @ X575 @ X577)=>((X576)=(X577))))))))=>?[X578:$i]:(![X579:$i]:(((in @ X579 @ X578)<=>?[X580:$i]:(((in @ X580 @ X574)&(X573 @ X580 @ X579))))))))=>(![X569:$i]:((?[X570:$i]:((in @ X570 @ X569))=>?[X571:$i]:(((in @ X571 @ X569)&~(?[X572:$i]:(((in @ X572 @ X571)&(in @ X572 @ X569))))))))=>((epred1_0)=>(![X566:$i > $o]:((?[X567:$i]:(((X566 @ X567)&![X568:$i]:(((X566 @ X568)=>((X567)=(X568))))))=>(X566 @ (descr @ (^[Z0/* 3 */:$i]:((X566 @ Z0)))))))=>(![X563:$i, X564:$i > $o, X565:$i]:(((in @ X565 @ X563)=>((X564 @ X565)=>(in @ X565 @ (dsetconstr @ X563 @ (^[Z0/* 3 */:$i]:((X564 @ Z0))))))))=>(![X334:$i, X335:$i > $o, X336:$i]:(((in @ X336 @ (dsetconstr @ X334 @ (^[Z0/* 3 */:$i]:((X335 @ Z0)))))=>(in @ X336 @ X334)))=>(![X337:$i, X338:$i > $o, X339:$i]:(((in @ X339 @ (dsetconstr @ X337 @ (^[Z0/* 3 */:$i]:((X338 @ Z0)))))=>(X338 @ X339)))=>(![X340:$i > $o]:((?[X341:$i]:(((X340 @ X341)&![X342:$i]:(((X340 @ X342)=>((X341)=(X342))))))=>?[X343:$i]:(((X340 @ X343)&![X344:$i]:(((X340 @ X344)=>((X343)=(X344))))))))=>(![X345:$o, X346:$i]:(((in @ X346 @ (prop2set @ ((X345))))=>(X345)))=>(![X561:$i]:(((in @ X561 @ emptyset)=>![X562:$o]:((X562))))=>(![X347:$i]:(~(in @ X347 @ emptyset))=>(![X560:$i]:(~(in @ X560 @ emptyset))=>(![X348:$i > $o]:((?[X349:$i]:(((X348 @ X349)&![X350:$i]:(((X348 @ X350)=>((X349)=(X350))))))=>?[X351:$i]:((X348 @ X351))))=>(![X352:$i, X353:$i]:((![X354:$i]:(((in @ X354 @ X352)=>(in @ X354 @ X353)))=>(![X355:$i]:(((in @ X355 @ X353)=>(in @ X355 @ X352)))=>((X352)=(X353)))))=>(![X356:$i]:((![X357:$i]:(~(in @ X357 @ X356))=>((X356)=(emptyset))))=>(![X558:$i]:((![X559:$i]:(~(in @ X559 @ X558))=>((X558)=(emptyset))))=>(![X555:$i, X556:$i > $o, X557:$i]:(((in @ X557 @ X555)=>((in @ X557 @ (dsetconstr @ X555 @ (^[Z0/* 3 */:$i]:((X556 @ Z0)))))<=>(X556 @ X557))))=>(![X358:$i]:((((X358)!=(emptyset))=>?[X359:$i]:((in @ X359 @ X358))))=>(![X360:$i, X361:$i > $o, X362:$i]:(((in @ X362 @ X360)=>((X361 @ X362)=>((dsetconstr @ X360 @ (^[Z0/* 3 */:$i]:((X361 @ Z0))))!=(emptyset)))))=>(![X553:$i]:((?[X554:$i]:((in @ X554 @ X553))=>((X553)!=(emptyset))))=>(![X363:$i, X364:$i]:((in @ X363 @ (setadjoin @ X363 @ X364)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X550:$i, X551:$i, X552:$i]:(((in @ X552 @ X551)=>(in @ X552 @ (setadjoin @ X550 @ X551))))=>(![X365:$i, X366:$i, X367:$i]:(((in @ X367 @ (setadjoin @ X365 @ X366))=>![X368:$o]:(((((X367)=(X365))=>(X368))=>(((in @ X367 @ X366)=>(X368))=>(X368))))))=>(![X369:$i, X370:$i, X371:$i]:(((in @ X371 @ (setadjoin @ X369 @ X370))=>(((X371)=(X369))|(in @ X371 @ X370))))=>(![X372:$i]:(((dsetconstr @ X372 @ (^[Z0/* 3 */:$i]:(($true))))=(X372)))=>(![X373:$i, X374:$i]:((![X375:$i]:(((in @ X375 @ X374)=>(in @ X375 @ X373)))=>(in @ X374 @ (powerset @ X373))))=>(![X549:$i]:((in @ emptyset @ (powerset @ X549)))=>(![X548:$i]:((in @ emptyset @ (powerset @ X548)))=>(![X376:$i, X377:$i, X378:$i]:(((in @ X377 @ (powerset @ X376))=>((in @ X378 @ X377)=>(in @ X378 @ X376))))=>(![X379:$i, X380:$i, X381:$i]:(((in @ X380 @ X381)=>((in @ X381 @ X379)=>(in @ X380 @ (setunion @ X379)))))=>(![X382:$i, X383:$i]:(((in @ X383 @ (setunion @ X382))=>![X384:$o]:((![X385:$i]:(((in @ X383 @ X385)=>((in @ X385 @ X382)=>(X384))))=>(X384)))))=>(![X386:$i, X387:$i]:(((in @ X387 @ X386)=>(in @ X387 @ (powerset @ (setunion @ X386)))))=>(![X543:$i > $o]:((?[X544:$i]:(((X543 @ X544)&![X545:$i]:(((X543 @ X545)=>((X544)=(X545))))))=>?[X546:$i]:(![X547:$i]:(((X543 @ X547)<=>((X547)=(X546)))))))=>(![X388:$i]:((((X388)!=(emptyset))=>?[X389:$i]:((in @ X389 @ X388))))=>(![X541:$i, X542:$i]:(((in @ X541 @ (setadjoin @ X542 @ emptyset))=>((X541)=(X542))))=>(![X390:$i, X391:$i]:((((X390)!=(X391))=>~(in @ X391 @ (setadjoin @ X390 @ emptyset))))=>(![X539:$i, X540:$i]:((((X539)=(X540))=>(in @ X539 @ (setadjoin @ X540 @ emptyset))))=>(![X537:$i, X538:$i]:(((in @ X537 @ (setadjoin @ X538 @ emptyset))=>(in @ X538 @ (setadjoin @ X537 @ emptyset))))=>(![X534:$i, X535:$i, X536:$i]:(((in @ X536 @ (setadjoin @ X534 @ (setadjoin @ X535 @ emptyset)))=>(((X536)=(X534))|((X536)=(X535)))))=>(![X532:$i, X533:$i]:((in @ X532 @ (setadjoin @ X532 @ (setadjoin @ X533 @ emptyset))))=>(![X392:$i, X393:$i]:((in @ X393 @ (setadjoin @ X392 @ (setadjoin @ X393 @ emptyset))))=>(![X529:$i, X530:$i > $o]:((?[X531:$i]:(((in @ X531 @ X529)&(X530 @ X531)))=>((dsetconstr @ X529 @ (^[Z0/* 3 */:$i]:((X530 @ Z0))))!=(emptyset))))=>(![X527:$i > $o, X528:$i]:(((in @ X528 @ emptyset)=>(X527 @ X528)))=>(![X523:$i, X524:$i > $o]:((~(![X525:$i]:(((in @ X525 @ X523)=>(X524 @ X525))))=>?[X526:$i]:(((in @ X526 @ X523)&~(X524 @ X526)))))=>(![X394:$i, X395:$i > $o]:((![X396:$i]:(((in @ X396 @ X394)=>~(X395 @ X396)))=>~(?[X397:$i]:(((in @ X397 @ X394)&(X395 @ X397))))))=>(![X398:$i, X399:$i > $o]:((~(?[X400:$i]:(((in @ X400 @ X398)&(X399 @ X400))))=>![X401:$i]:(((in @ X401 @ X398)=>~(X399 @ X401)))))=>(![X519:$i, X520:$i > $o]:((?[X521:$i]:(((in @ X521 @ X519)&~(X520 @ X521)))=>~(![X522:$i]:(((in @ X522 @ X519)=>(X520 @ X522))))))=>(![X402:$o]:(((X402)=>(in @ emptyset @ (prop2set @ ((X402))))))=>((prop2set2propI)=>(![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:$i]:(((in @ X410 @ X407)&~(X408 @ X410)))))=>(![X514:$i > $o]:((?[X515:$i]:(((X514 @ X515)&![X516:$i]:(((X514 @ X516)=>((X515)=(X516))))))=>?[X517:$i]:(((X514 @ X517)&![X518:$i]:(((X514 @ X518)=>((X517)=(X518))))))))=>(![X508:$i > $o]:((?[X509:$i]:((X508 @ X509))=>(![X510:$i, X511:$i]:(((X508 @ X510)=>((X508 @ X511)=>((X510)=(X511)))))=>?[X512:$i]:(((X508 @ X512)&![X513:$i]:(((X508 @ X513)=>((X512)=(X513)))))))))=>(![X411:$i > $o]:((?[X412:$i]:(![X413:$i]:(((X411 @ X413)<=>((X413)=(X412)))))=>?[X414:$i]:(((X411 @ X414)&![X415:$i]:(((X411 @ X415)=>((X414)=(X415))))))))=>(![X504:$i, X505:$i]:((((X504)=(X505))=>![X506:$i, X507:$i]:((((X506)=(X507))=>((in @ X506 @ X504)=>(in @ X507 @ X505))))))=>(![X416:$i, X417:$i]:((((X416)=(X417))=>![X418:$i, X419:$i]:((((X418)=(X419))=>((in @ X418 @ X416)<=>(in @ X419 @ X417))))))=>(![X499:$i > $o]:((?[X500:$i]:(((X499 @ X500)&![X501:$i]:(((X499 @ X501)=>((X500)=(X501))))))=>![X502:$i, X503:$i]:(((X499 @ X502)=>((X499 @ X503)=>((X502)=(X503)))))))=>(![X491:$i > $o, X492:$i > $o]:((![X493:$i, X494:$i]:((((X493)=(X494))=>((X491 @ X493)<=>(X492 @ X494))))=>(?[X495:$i]:(((X491 @ X495)&![X496:$i]:(((X491 @ X496)=>((X495)=(X496))))))<=>?[X497:$i]:(((X492 @ X497)&![X498:$i]:(((X492 @ X498)=>((X497)=(X498)))))))))=>(((emptyset)=(emptyset))=>(![X420:$i, X421:$i]:((((X420)=(X421))=>![X422:$i, X423:$i]:((((X422)=(X423))=>((setadjoin @ X420 @ X422)=(setadjoin @ X421 @ X423))))))=>(![X424:$i, X425:$i]:((((X424)=(X425))=>((powerset @ X424)=(powerset @ X425))))=>(![X426:$i, X427:$i]:((((X426)=(X427))=>((setunion @ X426)=(setunion @ X427))))=>(((omega)=(omega))=>(![X486:$i > $o]:((?[X487:$i]:(((X486 @ X487)&![X488:$i]:(((X486 @ X488)=>((X487)=(X488))))))=>![X489:$i, X490:$i]:(((X486 @ X489)=>((X486 @ X490)=>((X489)=(X490)))))))=>(![X478:$i > $o, X479:$i > $o]:((![X480:$i, X481:$i]:((((X480)=(X481))=>((X478 @ X480)<=>(X479 @ X481))))=>(?[X482:$i]:(((X478 @ X482)&![X483:$i]:(((X478 @ X483)=>((X482)=(X483))))))=>(?[X484:$i]:(((X479 @ X484)&![X485:$i]:(((X479 @ X485)=>((X484)=(X485))))))=>((descr @ (^[Z0/* 3 */:$i]:((X478 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X479 @ Z0)))))))))=>(![X428:$i, X429:$i]:((((X428)=(X429))=>![X430:$i > $o, X431:$i > $o]:((![X432:$i]:(((in @ X432 @ X428)=>![X433:$i]:(((in @ X433 @ X429)=>(((X432)=(X433))=>((X430 @ X432)<=>(X431 @ X433)))))))=>((dsetconstr @ X428 @ (^[Z0/* 3 */:$i]:((X430 @ Z0))))=(dsetconstr @ X429 @ (^[Z0/* 3 */:$i]:((X431 @ Z0)))))))))=>(![X475:$i, X476:$i]:((![X477:$i]:(((in @ X477 @ X475)=>(in @ X477 @ X476)))=>(subset @ X475 @ X476)))=>(![X473:$i, X474:$i]:((((X473)=(X474))=>(subset @ X474 @ X473)))=>(![X471:$i, X472:$i]:((((X471)=(X472))=>(subset @ X471 @ X472)))=>(![X468:$i, X469:$i]:((![X470:$i]:(((in @ X470 @ X468)=>(in @ X470 @ X469)))=>(subset @ X468 @ X469)))=>(![X434:$i]:((subset @ emptyset @ X434))=>(![X435:$i, X436:$i, X437:$i]:(((subset @ X435 @ X436)=>((in @ X437 @ X435)=>(in @ X437 @ X436))))=>(![X465:$i, X466:$i, X467:$i]:(((subset @ X465 @ X466)=>(~(in @ X467 @ X466)=>~(in @ X467 @ X465))))=>(![X438:$i, X439:$i, X440:$i]:(((in @ X440 @ X438)=>(~(in @ X440 @ X439)=>~(subset @ X438 @ X439))))=>(![X441:$i, X442:$i]:((~(subset @ X441 @ X442)=>((X441)!=(X442))))=>(![X443:$i, X444:$i, X445:$i]:(((in @ X445 @ X443)=>(~(in @ X445 @ X444)=>((X443)!=(X444)))))=>(![X464:$i]:((subset @ X464 @ X464))=>(![X461:$i, X462:$i, X463:$i]:(((subset @ X461 @ X462)=>((subset @ X462 @ X463)=>(subset @ X461 @ X463))))=>(![X446:$i, X447:$i]:((subset @ X447 @ (setadjoin @ X446 @ X447)))=>(![X448:$i, X449:$i, X450:$i]:(((subset @ X448 @ X450)=>(subset @ X448 @ (setadjoin @ X449 @ X450))))=>(![X459:$i, X460:$i]:(((subset @ X459 @ X460)=>(in @ X459 @ (powerset @ X460))))=>(![X451:$i, X452:$i]:(((subset @ X451 @ X452)=>((subset @ X452 @ X451)=>((X451)=(X452)))))=>(![X453:$i]:(((subset @ X453 @ emptyset)=>((X453)=(emptyset))))=>(![X454:$i, X455:$i]:(((subset @ X455 @ X454)=>(in @ X455 @ (powerset @ X454))))=>(![X456:$i, X457:$i]:(((in @ X457 @ (powerset @ X456))=>(subset @ X457 @ X456)))=>(![X458:$i]:((in @ X458 @ (powerset @ X458)))=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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(assume_negation,[status(cth)],[powersetsubset]), c_0_112]), setadjoinAx]), emptyInPowerset]), setadjoinOr]), emptyinPowerset]), setunionE]), setadjoinIR]), emptyinunitempty]), subPowSU]), c_0_113]), c_0_114]), noeltsimpempty]), c_0_115]), notinemptyset]), emptysetE]), notinsingleton]), c_0_116]), c_0_117]), foundationAx]), upairsetIR]), c_0_118]), omega0Ax]), setunionAx]), quantDeMorgan2]), quantDeMorgan3]), setadjoinSub]), prop2setI]), notdexE]), notdallE]), c_0_119]), in__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), powersetI]), omega__Cong]), c_0_120]), emptysetsubset]), subsetE]), notsubsetI]), notequalI1]), notequalI2]), setadjoinSub2]), setextsub]), subsetemptysetimpeq]), powersetI1]), powersetE1]), inPowerset]), subset2powerset]), subsetTrans]), powersetE]), subsetRefl]), subsetE2]), subsetI2]), eqimpsubset1]), eqimpsubset2]), subsetI1]), c_0_121]), c_0_122]), emptyset__Cong]), c_0_123]), c_0_124]), inCongP]), c_0_125]), c_0_126]), quantDeMorgan4]), quantDeMorgan1]), vacuousDall]), c_0_127]), upairsetIL]), upairsetE]), singletonsswitch]), eqinunit]), uniqinunit]), c_0_128]), setunionI]), setadjoinE]), setadjoinIL]), c_0_129]), c_0_130]), emptyI]), setext]), c_0_131]), emptysetimpfalse]), prop2setE]), c_0_132]), c_0_133]), c_0_134]), wellorderingAx]), omegaIndAx]), omegaSAx]), powersetAx]), emptysetAx]), setextAx])]), c_0_135])).
26.00/3.82	thf(c_0_137, negated_conjecture, ![X587:$i, X588:$i, X590:$i, X591:$i, X592:$i, X593:$i, X594:$i, X595:$i, X596:$i, X597:$i, X598:$i, X600:$i, X601:$i, X603:$i, X604:$i, X605:$i, X606:$i, X607:$i, X609:$i, X610:$i > $i > $o, X611:$i, X613:$i, X616:$i, X618:$i, X619:$i, X620:$i, X621:$i, X623:$i, X624:$i > $o, X625:$i, X627:$i, X628:$i > $o, X629:$i, X630:$i, X631:$i > $o, X632:$i, X633:$i, X634:$i > $o, X635:$i, X636:$i > $o, X637:$i, X640:$i, X641:$o, X642:$i, X643:$i, X644:$o, X645:$i, X646:$i, X647:$i > $o, X648:$i, X651:$i, X652:$i, X655:$i, X657:$i, X659:$i, X660:$i > $o, X661:$i, X662:$i, X664:$i, X665:$i > $o, X666:$i, X667:$i, X668:$i, X669:$i, X670:$i, X671:$i, X672:$i, X673:$i, X674:$i, X675:$i, X676:$i, X677:$o, X678:$i, X679:$i, X680:$i, X681:$i, X682:$i, X683:$i, X685:$i, X686:$i, X687:$i, X688:$i, X689:$i, X690:$i, X691:$i, X692:$i, X693:$i, X694:$i, X695:$o, X697:$i, X698:$i, X699:$i > $o, X700:$i, X703:$i, X704:$i, X705:$i, X707:$i, X708:$i, X709:$i, X710:$i, X711:$i, X712:$i, X713:$i, X714:$i, X715:$i, X716:$i, X717:$i, X718:$i, X719:$i, X720:$i, X721:$i, X722:$i, X723:$i > $o, X724:$i, X725:$i > $o, X726:$i, X727:$i, X728:$i > $o, X729:$i, X731:$i, X732:$i > $o, X734:$i, X735:$i, X736:$i > $o, X738:$i, X739:$i, X740:$i > $o, X741:$i, X743:$o, X744:$i, X745:$i > $o, X747:$i, X748:$i, X749:$i > $o, X750:$i, X752:$i > $o, X753:$i, X756:$i, X757:$i > $o, X758:$i, X762:$i, X763:$i > $o, X764:$i, X767:$i, X768:$i, X769:$i, X770:$i, X771:$i, X772:$i, X773:$i, X774:$i, X775:$i, X776:$i > $o, X777:$i, X779:$i, X780:$i, X781:$i > $o, X782:$i > $o, X785:$i, X788:$i, X789:$i, X792:$i, X793:$i, X794:$i, X795:$i, X796:$i, X797:$i, X798:$i, X799:$i, X800:$i, X801:$i > $o, X802:$i, X804:$i, X805:$i, X806:$i > $o, X807:$i > $o, X810:$i, X812:$i, X814:$i, X815:$i, X816:$i > $o, X817:$i > $o, X820:$i, X821:$i, X823:$i, X824:$i, X825:$i, X826:$i, X827:$i, X828:$i, X830:$i, X831:$i, X832:$i, X833:$i, X834:$i, X835:$i, X836:$i, X837:$i, X838:$i, X839:$i, X840:$i, X841:$i, X842:$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]:((((~(in @ (esk1_2 @ X587 @ X588) @ X587)|~(in @ (esk1_2 @ X587 @ X588) @ X588)|((X587)=(X588)))&((in @ (esk1_2 @ X587 @ X588) @ X587)|(in @ (esk1_2 @ X587 @ X588) @ X588)|((X587)=(X588))))&(~(in @ X590 @ emptyset)&(((~(in @ X593 @ (setadjoin @ X591 @ X592))|(((X593)=(X591))|(in @ X593 @ X592)))&((((X593)!=(X591))|(in @ X593 @ (setadjoin @ X591 @ X592)))&(~(in @ X593 @ X592)|(in @ X593 @ (setadjoin @ X591 @ X592)))))&(((~(in @ X595 @ (powerset @ X594))|(~(in @ X596 @ X595)|(in @ X596 @ X594)))&(((in @ (esk2_2 @ X597 @ X598) @ X598)|(in @ X598 @ (powerset @ X597)))&(~(in @ (esk2_2 @ X597 @ X598) @ X597)|(in @ X598 @ (powerset @ X597)))))&(((((in @ X601 @ (esk3_2 @ X600 @ X601))|~(in @ X601 @ (setunion @ X600)))&((in @ (esk3_2 @ X600 @ X601) @ X600)|~(in @ X601 @ (setunion @ X600))))&(~(in @ X604 @ X605)|~(in @ X605 @ X603)|(in @ X604 @ (setunion @ X603))))&((in @ emptyset @ omega)&((~(in @ X606 @ omega)|(in @ (setadjoin @ X606 @ X606) @ omega))&(((((in @ (esk4_1 @ X607) @ omega)|~(in @ emptyset @ X607)|(~(in @ X609 @ omega)|(in @ X609 @ X607)))&((in @ (esk4_1 @ X607) @ X607)|~(in @ emptyset @ X607)|(~(in @ X609 @ omega)|(in @ X609 @ X607))))&(~(in @ (setadjoin @ (esk4_1 @ X607) @ (esk4_1 @ X607)) @ X607)|~(in @ emptyset @ X607)|(~(in @ X609 @ omega)|(in @ X609 @ X607))))&((((((in @ (esk8_3 @ X610 @ X611 @ X616) @ X611)|~(in @ X616 @ (esk7_2 @ X610 @ X611))|(in @ (esk5_2 @ X610 @ X611) @ X611))&((X610 @ (esk8_3 @ X610 @ X611 @ X616) @ X616)|~(in @ X616 @ (esk7_2 @ X610 @ X611))|(in @ (esk5_2 @ X610 @ X611) @ X611)))&(~(in @ X619 @ X611)|~(X610 @ X619 @ X618)|(in @ X618 @ (esk7_2 @ X610 @ X611))|(in @ (esk5_2 @ X610 @ X611) @ X611)))&(((((in @ (esk8_3 @ X610 @ X611 @ X616) @ X611)|~(in @ X616 @ (esk7_2 @ X610 @ X611))|((X610 @ (esk5_2 @ X610 @ X611) @ (esk6_3 @ X610 @ X611 @ X613))|~(X610 @ (esk5_2 @ X610 @ X611) @ X613)))&((X610 @ (esk8_3 @ X610 @ X611 @ X616) @ X616)|~(in @ X616 @ (esk7_2 @ X610 @ X611))|((X610 @ (esk5_2 @ X610 @ X611) @ (esk6_3 @ X610 @ X611 @ X613))|~(X610 @ (esk5_2 @ X610 @ X611) @ X613))))&(~(in @ X619 @ X611)|~(X610 @ X619 @ X618)|(in @ X618 @ (esk7_2 @ X610 @ X611))|((X610 @ (esk5_2 @ X610 @ X611) @ (esk6_3 @ X610 @ X611 @ X613))|~(X610 @ (esk5_2 @ X610 @ X611) @ X613))))&((((in @ (esk8_3 @ X610 @ X611 @ X616) @ X611)|~(in @ X616 @ (esk7_2 @ X610 @ X611))|(((X613)!=(esk6_3 @ X610 @ X611 @ X613))|~(X610 @ (esk5_2 @ X610 @ X611) @ X613)))&((X610 @ (esk8_3 @ X610 @ X611 @ X616) @ X616)|~(in @ X616 @ (esk7_2 @ X610 @ X611))|(((X613)!=(esk6_3 @ X610 @ X611 @ X613))|~(X610 @ (esk5_2 @ X610 @ X611) @ X613))))&(~(in @ X619 @ X611)|~(X610 @ X619 @ X618)|(in @ X618 @ (esk7_2 @ X610 @ X611))|(((X613)!=(esk6_3 @ X610 @ X611 @ X613))|~(X610 @ (esk5_2 @ X610 @ X611) @ X613))))))&((((in @ (esk9_1 @ X620) @ X620)|~(in @ X621 @ X620))&(~(in @ X623 @ (esk9_1 @ X620))|~(in @ X623 @ X620)|~(in @ X621 @ X620)))&((epred1_0)&((((X624 @ (esk10_2 @ X624 @ X625))|~(X624 @ X625)|(X624 @ (descr @ (^[Z0/* 3 */:$i]:((X624 @ Z0))))))&(((X625)!=(esk10_2 @ X624 @ X625))|~(X624 @ X625)|(X624 @ (descr @ (^[Z0/* 3 */:$i]:((X624 @ Z0)))))))&((~(in @ X629 @ X627)|(~(X628 @ X629)|(in @ X629 @ (dsetconstr @ X627 @ (^[Z0/* 3 */:$i]:((X628 @ Z0)))))))&((~(in @ X632 @ (dsetconstr @ X630 @ (^[Z0/* 3 */:$i]:((X631 @ Z0)))))|(in @ X632 @ X630))&((~(in @ X635 @ (dsetconstr @ X633 @ (^[Z0/* 3 */:$i]:((X634 @ Z0)))))|(X634 @ X635))&(((((X636 @ (esk12_1 @ X636))|((X636 @ (esk11_2 @ X636 @ X637))|~(X636 @ X637)))&(~(X636 @ X640)|((esk12_1 @ X636)=(X640))|((X636 @ (esk11_2 @ X636 @ X637))|~(X636 @ X637))))&(((X636 @ (esk12_1 @ X636))|(((X637)!=(esk11_2 @ X636 @ X637))|~(X636 @ X637)))&(~(X636 @ X640)|((esk12_1 @ X636)=(X640))|(((X637)!=(esk11_2 @ X636 @ X637))|~(X636 @ X637)))))&((~(in @ X642 @ (prop2set @ ((X641))))|(X641))&((~(in @ X643 @ emptyset)|(X644))&(~(in @ X645 @ emptyset)&(~(in @ X646 @ emptyset)&((((X647 @ (esk13_2 @ X647 @ X648))|~(X647 @ X648)|(X647 @ (esk14_1 @ X647)))&(((X648)!=(esk13_2 @ X647 @ X648))|~(X647 @ X648)|(X647 @ (esk14_1 @ X647))))&(((((in @ (esk16_2 @ X651 @ X652) @ X652)|((X651)=(X652))|(in @ (esk15_2 @ X651 @ X652) @ X651))&(~(in @ (esk16_2 @ X651 @ X652) @ X651)|((X651)=(X652))|(in @ (esk15_2 @ X651 @ X652) @ X651)))&(((in @ (esk16_2 @ X651 @ X652) @ X652)|((X651)=(X652))|~(in @ (esk15_2 @ X651 @ X652) @ X652))&(~(in @ (esk16_2 @ X651 @ X652) @ X651)|((X651)=(X652))|~(in @ (esk15_2 @ X651 @ X652) @ X652))))&(((in @ (esk17_1 @ X655) @ X655)|((X655)=(emptyset)))&(((in @ (esk18_1 @ X657) @ X657)|((X657)=(emptyset)))&(((~(in @ X661 @ (dsetconstr @ X659 @ (^[Z0/* 3 */:$i]:((X660 @ Z0)))))|(X660 @ X661)|~(in @ X661 @ X659))&(~(X660 @ X661)|(in @ X661 @ (dsetconstr @ X659 @ (^[Z0/* 3 */:$i]:((X660 @ Z0)))))|~(in @ X661 @ X659)))&((((X662)=(emptyset))|(in @ (esk19_1 @ X662) @ X662))&((~(in @ X666 @ X664)|(~(X665 @ X666)|((dsetconstr @ X664 @ (^[Z0/* 3 */:$i]:((X665 @ Z0))))!=(emptyset))))&((~(in @ X668 @ X667)|((X667)!=(emptyset)))&((in @ X669 @ (setadjoin @ X669 @ X670))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X673 @ X672)|(in @ X673 @ (setadjoin @ X671 @ X672)))&(((((in @ X676 @ X675)|(X677)|((X676)=(X674))|~(in @ X676 @ (setadjoin @ X674 @ X675)))&(~(X677)|(X677)|((X676)=(X674))|~(in @ X676 @ (setadjoin @ X674 @ X675))))&(((in @ X676 @ X675)|(X677)|~(X677)|~(in @ X676 @ (setadjoin @ X674 @ X675)))&(~(X677)|(X677)|~(X677)|~(in @ X676 @ (setadjoin @ X674 @ X675)))))&((~(in @ X680 @ (setadjoin @ X678 @ X679))|(((X680)=(X678))|(in @ X680 @ X679)))&(((dsetconstr @ X681 @ (^[Z0/* 3 */:$i]:(($true))))=(X681))&((((in @ (esk20_2 @ X682 @ X683) @ X683)|(in @ X683 @ (powerset @ X682)))&(~(in @ (esk20_2 @ X682 @ X683) @ X682)|(in @ X683 @ (powerset @ X682))))&((in @ emptyset @ (powerset @ X685))&((in @ emptyset @ (powerset @ X686))&((~(in @ X688 @ (powerset @ X687))|(~(in @ X689 @ X688)|(in @ X689 @ X687)))&((~(in @ X691 @ X692)|(~(in @ X692 @ X690)|(in @ X691 @ (setunion @ X690))))&((((in @ X694 @ (esk21_3 @ X693 @ X694 @ X695))|(X695)|~(in @ X694 @ (setunion @ X693)))&(((in @ (esk21_3 @ X693 @ X694 @ X695) @ X693)|(X695)|~(in @ X694 @ (setunion @ X693)))&(~(X695)|(X695)|~(in @ X694 @ (setunion @ X693)))))&((~(in @ X698 @ X697)|(in @ X698 @ (powerset @ (setunion @ X697))))&((((~(X699 @ X703)|((X703)=(esk23_1 @ X699))|((X699 @ (esk22_2 @ X699 @ X700))|~(X699 @ X700)))&(((X704)!=(esk23_1 @ X699))|(X699 @ X704)|((X699 @ (esk22_2 @ X699 @ X700))|~(X699 @ X700))))&((~(X699 @ X703)|((X703)=(esk23_1 @ X699))|(((X700)!=(esk22_2 @ X699 @ X700))|~(X699 @ X700)))&(((X704)!=(esk23_1 @ X699))|(X699 @ X704)|(((X700)!=(esk22_2 @ X699 @ X700))|~(X699 @ X700)))))&((((X705)=(emptyset))|(in @ (esk24_1 @ X705) @ X705))&((~(in @ X707 @ (setadjoin @ X708 @ emptyset))|((X707)=(X708)))&((((X709)=(X710))|~(in @ X710 @ (setadjoin @ X709 @ emptyset)))&((((X711)!=(X712))|(in @ X711 @ (setadjoin @ X712 @ emptyset)))&((~(in @ X713 @ (setadjoin @ X714 @ emptyset))|(in @ X714 @ (setadjoin @ X713 @ emptyset)))&((~(in @ X717 @ (setadjoin @ X715 @ (setadjoin @ X716 @ emptyset)))|(((X717)=(X715))|((X717)=(X716))))&((in @ X718 @ (setadjoin @ X718 @ (setadjoin @ X719 @ emptyset)))&((in @ X721 @ (setadjoin @ X720 @ (setadjoin @ X721 @ emptyset)))&((~(in @ X724 @ X722)|~(X723 @ X724)|((dsetconstr @ X722 @ (^[Z0/* 3 */:$i]:((X723 @ Z0))))!=(emptyset)))&((~(in @ X726 @ emptyset)|(X725 @ X726))&((((in @ (esk25_2 @ X727 @ X728) @ X727)|(~(in @ X729 @ X727)|(X728 @ X729)))&(~(X728 @ (esk25_2 @ X727 @ X728))|(~(in @ X729 @ X727)|(X728 @ X729))))&((((in @ (esk26_2 @ X731 @ X732) @ X731)|(~(in @ X734 @ X731)|~(X732 @ X734)))&((X732 @ (esk26_2 @ X731 @ X732))|(~(in @ X734 @ X731)|~(X732 @ X734))))&((((in @ (esk27_2 @ X735 @ X736) @ X735)|(~(in @ X738 @ X735)|~(X736 @ X738)))&((X736 @ (esk27_2 @ X735 @ X736))|(~(in @ X738 @ X735)|~(X736 @ X738))))&((((in @ (esk28_2 @ X739 @ X740) @ X739)|(~(in @ X741 @ X739)|(X740 @ X741)))&(~(X740 @ (esk28_2 @ X739 @ X740))|(~(in @ X741 @ X739)|(X740 @ X741))))&((~(X743)|(in @ emptyset @ (prop2set @ ((X743)))))&((prop2set2propI)&((((in @ (esk29_2 @ X744 @ X745) @ X744)|(~(in @ X747 @ X744)|~(X745 @ X747)))&((X745 @ (esk29_2 @ X744 @ X745))|(~(in @ X747 @ X744)|~(X745 @ X747))))&((((in @ (esk30_2 @ X748 @ X749) @ X748)|(~(in @ X750 @ X748)|(X749 @ X750)))&(~(X749 @ (esk30_2 @ X748 @ X749))|(~(in @ X750 @ X748)|(X749 @ X750))))&(((((X752 @ (esk32_1 @ X752))|((X752 @ (esk31_2 @ X752 @ X753))|~(X752 @ X753)))&(~(X752 @ X756)|((esk32_1 @ X752)=(X756))|((X752 @ (esk31_2 @ X752 @ X753))|~(X752 @ X753))))&(((X752 @ (esk32_1 @ X752))|(((X753)!=(esk31_2 @ X752 @ X753))|~(X752 @ X753)))&(~(X752 @ X756)|((esk32_1 @ X752)=(X756))|(((X753)!=(esk31_2 @ X752 @ X753))|~(X752 @ X753)))))&(((((X757 @ (esk35_1 @ X757))|(X757 @ (esk33_1 @ X757))|~(X757 @ X758))&(~(X757 @ X762)|((esk35_1 @ X757)=(X762))|(X757 @ (esk33_1 @ X757))|~(X757 @ X758)))&((((X757 @ (esk35_1 @ X757))|(X757 @ (esk34_1 @ X757))|~(X757 @ X758))&(~(X757 @ X762)|((esk35_1 @ X757)=(X762))|(X757 @ (esk34_1 @ X757))|~(X757 @ X758)))&(((X757 @ (esk35_1 @ X757))|((esk33_1 @ X757)!=(esk34_1 @ X757))|~(X757 @ X758))&(~(X757 @ X762)|((esk35_1 @ X757)=(X762))|((esk33_1 @ X757)!=(esk34_1 @ X757))|~(X757 @ X758)))))&(((((X763 @ (esk37_1 @ X763))|(~(X763 @ (esk36_2 @ X763 @ X764))|((esk36_2 @ X763 @ X764)!=(X764))))&(~(X763 @ X767)|((esk37_1 @ X763)=(X767))|(~(X763 @ (esk36_2 @ X763 @ X764))|((esk36_2 @ X763 @ X764)!=(X764)))))&(((X763 @ (esk37_1 @ X763))|((X763 @ (esk36_2 @ X763 @ X764))|((esk36_2 @ X763 @ X764)=(X764))))&(~(X763 @ X767)|((esk37_1 @ X763)=(X767))|((X763 @ (esk36_2 @ X763 @ X764))|((esk36_2 @ X763 @ X764)=(X764))))))&((((X768)!=(X769))|(((X770)!=(X771))|(~(in @ X770 @ X768)|(in @ X771 @ X769))))&(((~(in @ X774 @ X772)|(in @ X775 @ X773)|((X774)!=(X775))|((X772)!=(X773)))&(~(in @ X775 @ X773)|(in @ X774 @ X772)|((X774)!=(X775))|((X772)!=(X773))))&((((X776 @ (esk38_2 @ X776 @ X777))|~(X776 @ X777)|(~(X776 @ X779)|(~(X776 @ X780)|((X779)=(X780)))))&(((X777)!=(esk38_2 @ X776 @ X777))|~(X776 @ X777)|(~(X776 @ X779)|(~(X776 @ X780)|((X779)=(X780))))))&(((((((X782 @ (esk42_2 @ X781 @ X782))|((X781 @ (esk41_3 @ X781 @ X782 @ X785))|~(X781 @ X785))|((esk39_2 @ X781 @ X782)=(esk40_2 @ X781 @ X782)))&(~(X782 @ X788)|((esk42_2 @ X781 @ X782)=(X788))|((X781 @ (esk41_3 @ X781 @ X782 @ X785))|~(X781 @ X785))|((esk39_2 @ X781 @ X782)=(esk40_2 @ X781 @ X782))))&(((X782 @ (esk42_2 @ X781 @ X782))|(((X785)!=(esk41_3 @ X781 @ X782 @ X785))|~(X781 @ X785))|((esk39_2 @ X781 @ X782)=(esk40_2 @ X781 @ X782)))&(~(X782 @ X788)|((esk42_2 @ X781 @ X782)=(X788))|(((X785)!=(esk41_3 @ X781 @ X782 @ X785))|~(X781 @ X785))|((esk39_2 @ X781 @ X782)=(esk40_2 @ X781 @ X782)))))&((((X781 @ (esk44_2 @ X781 @ X782))|((X782 @ (esk43_3 @ X781 @ X782 @ X789))|~(X782 @ X789))|((esk39_2 @ X781 @ X782)=(esk40_2 @ X781 @ X782)))&(~(X781 @ X792)|((esk44_2 @ X781 @ X782)=(X792))|((X782 @ (esk43_3 @ X781 @ X782 @ X789))|~(X782 @ X789))|((esk39_2 @ X781 @ X782)=(esk40_2 @ X781 @ X782))))&(((X781 @ (esk44_2 @ X781 @ X782))|(((X789)!=(esk43_3 @ X781 @ X782 @ X789))|~(X782 @ X789))|((esk39_2 @ X781 @ X782)=(esk40_2 @ X781 @ X782)))&(~(X781 @ X792)|((esk44_2 @ X781 @ X782)=(X792))|(((X789)!=(esk43_3 @ X781 @ X782 @ X789))|~(X782 @ X789))|((esk39_2 @ X781 @ X782)=(esk40_2 @ X781 @ X782))))))&((((((X782 @ (esk42_2 @ X781 @ X782))|((X781 @ (esk41_3 @ X781 @ X782 @ X785))|~(X781 @ X785))|(~(X781 @ (esk39_2 @ X781 @ X782))|~(X782 @ (esk40_2 @ X781 @ X782))))&(~(X782 @ X788)|((esk42_2 @ X781 @ X782)=(X788))|((X781 @ (esk41_3 @ X781 @ X782 @ X785))|~(X781 @ X785))|(~(X781 @ (esk39_2 @ X781 @ X782))|~(X782 @ (esk40_2 @ X781 @ X782)))))&(((X782 @ (esk42_2 @ X781 @ X782))|(((X785)!=(esk41_3 @ X781 @ X782 @ X785))|~(X781 @ X785))|(~(X781 @ (esk39_2 @ X781 @ X782))|~(X782 @ (esk40_2 @ X781 @ X782))))&(~(X782 @ X788)|((esk42_2 @ X781 @ X782)=(X788))|(((X785)!=(esk41_3 @ X781 @ X782 @ X785))|~(X781 @ X785))|(~(X781 @ (esk39_2 @ X781 @ X782))|~(X782 @ (esk40_2 @ X781 @ X782))))))&((((X781 @ (esk44_2 @ X781 @ X782))|((X782 @ (esk43_3 @ X781 @ X782 @ X789))|~(X782 @ X789))|(~(X781 @ (esk39_2 @ X781 @ X782))|~(X782 @ (esk40_2 @ X781 @ X782))))&(~(X781 @ X792)|((esk44_2 @ X781 @ X782)=(X792))|((X782 @ (esk43_3 @ X781 @ X782 @ X789))|~(X782 @ X789))|(~(X781 @ (esk39_2 @ X781 @ X782))|~(X782 @ (esk40_2 @ X781 @ X782)))))&(((X781 @ (esk44_2 @ X781 @ X782))|(((X789)!=(esk43_3 @ X781 @ X782 @ X789))|~(X782 @ X789))|(~(X781 @ (esk39_2 @ X781 @ X782))|~(X782 @ (esk40_2 @ X781 @ X782))))&(~(X781 @ X792)|((esk44_2 @ X781 @ X782)=(X792))|(((X789)!=(esk43_3 @ X781 @ X782 @ X789))|~(X782 @ X789))|(~(X781 @ (esk39_2 @ X781 @ X782))|~(X782 @ (esk40_2 @ X781 @ X782)))))))&(((((X782 @ (esk42_2 @ X781 @ X782))|((X781 @ (esk41_3 @ X781 @ X782 @ X785))|~(X781 @ X785))|((X781 @ (esk39_2 @ X781 @ X782))|(X782 @ (esk40_2 @ X781 @ X782))))&(~(X782 @ X788)|((esk42_2 @ X781 @ X782)=(X788))|((X781 @ (esk41_3 @ X781 @ X782 @ X785))|~(X781 @ X785))|((X781 @ (esk39_2 @ X781 @ X782))|(X782 @ (esk40_2 @ X781 @ X782)))))&(((X782 @ (esk42_2 @ X781 @ X782))|(((X785)!=(esk41_3 @ X781 @ X782 @ X785))|~(X781 @ X785))|((X781 @ (esk39_2 @ X781 @ X782))|(X782 @ (esk40_2 @ X781 @ X782))))&(~(X782 @ X788)|((esk42_2 @ X781 @ X782)=(X788))|(((X785)!=(esk41_3 @ X781 @ X782 @ X785))|~(X781 @ X785))|((X781 @ (esk39_2 @ X781 @ X782))|(X782 @ (esk40_2 @ X781 @ X782))))))&((((X781 @ (esk44_2 @ X781 @ X782))|((X782 @ (esk43_3 @ X781 @ X782 @ X789))|~(X782 @ X789))|((X781 @ (esk39_2 @ X781 @ X782))|(X782 @ (esk40_2 @ X781 @ X782))))&(~(X781 @ X792)|((esk44_2 @ X781 @ X782)=(X792))|((X782 @ (esk43_3 @ X781 @ X782 @ X789))|~(X782 @ X789))|((X781 @ (esk39_2 @ X781 @ X782))|(X782 @ (esk40_2 @ X781 @ X782)))))&(((X781 @ (esk44_2 @ X781 @ X782))|(((X789)!=(esk43_3 @ X781 @ X782 @ X789))|~(X782 @ X789))|((X781 @ (esk39_2 @ X781 @ X782))|(X782 @ (esk40_2 @ X781 @ X782))))&(~(X781 @ X792)|((esk44_2 @ X781 @ X782)=(X792))|(((X789)!=(esk43_3 @ X781 @ X782 @ X789))|~(X782 @ X789))|((X781 @ (esk39_2 @ X781 @ X782))|(X782 @ (esk40_2 @ X781 @ X782)))))))))&(((emptyset)=(emptyset))&((((X793)!=(X794))|(((X795)!=(X796))|((setadjoin @ X793 @ X795)=(setadjoin @ X794 @ X796))))&((((X797)!=(X798))|((powerset @ X797)=(powerset @ X798)))&((((X799)!=(X800))|((setunion @ X799)=(setunion @ X800)))&(((omega)=(omega))&((((X801 @ (esk45_2 @ X801 @ X802))|~(X801 @ X802)|(~(X801 @ X804)|(~(X801 @ X805)|((X804)=(X805)))))&(((X802)!=(esk45_2 @ X801 @ X802))|~(X801 @ X802)|(~(X801 @ X804)|(~(X801 @ X805)|((X804)=(X805))))))&((((((X807 @ (esk49_3 @ X806 @ X807 @ X812))|~(X807 @ X812)|((descr @ (^[Z0/* 3 */:$i]:((X806 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X807 @ Z0)))))|((X806 @ (esk48_3 @ X806 @ X807 @ X810))|~(X806 @ X810))|((esk46_2 @ X806 @ X807)=(esk47_2 @ X806 @ X807)))&(((X812)!=(esk49_3 @ X806 @ X807 @ X812))|~(X807 @ X812)|((descr @ (^[Z0/* 3 */:$i]:((X806 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X807 @ Z0)))))|((X806 @ (esk48_3 @ X806 @ X807 @ X810))|~(X806 @ X810))|((esk46_2 @ X806 @ X807)=(esk47_2 @ X806 @ X807))))&(((X807 @ (esk49_3 @ X806 @ X807 @ X812))|~(X807 @ X812)|((descr @ (^[Z0/* 3 */:$i]:((X806 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X807 @ Z0)))))|(((X810)!=(esk48_3 @ X806 @ X807 @ X810))|~(X806 @ X810))|((esk46_2 @ X806 @ X807)=(esk47_2 @ X806 @ X807)))&(((X812)!=(esk49_3 @ X806 @ X807 @ X812))|~(X807 @ X812)|((descr @ (^[Z0/* 3 */:$i]:((X806 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X807 @ Z0)))))|(((X810)!=(esk48_3 @ X806 @ X807 @ X810))|~(X806 @ X810))|((esk46_2 @ X806 @ X807)=(esk47_2 @ X806 @ X807)))))&(((((X807 @ (esk49_3 @ X806 @ X807 @ X812))|~(X807 @ X812)|((descr @ (^[Z0/* 3 */:$i]:((X806 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X807 @ Z0)))))|((X806 @ (esk48_3 @ X806 @ X807 @ X810))|~(X806 @ X810))|(~(X806 @ (esk46_2 @ X806 @ X807))|~(X807 @ (esk47_2 @ X806 @ X807))))&(((X812)!=(esk49_3 @ X806 @ X807 @ X812))|~(X807 @ X812)|((descr @ (^[Z0/* 3 */:$i]:((X806 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X807 @ Z0)))))|((X806 @ (esk48_3 @ X806 @ X807 @ X810))|~(X806 @ X810))|(~(X806 @ (esk46_2 @ X806 @ X807))|~(X807 @ (esk47_2 @ X806 @ X807)))))&(((X807 @ (esk49_3 @ X806 @ X807 @ X812))|~(X807 @ X812)|((descr @ (^[Z0/* 3 */:$i]:((X806 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X807 @ Z0)))))|(((X810)!=(esk48_3 @ X806 @ X807 @ X810))|~(X806 @ X810))|(~(X806 @ (esk46_2 @ X806 @ X807))|~(X807 @ (esk47_2 @ X806 @ X807))))&(((X812)!=(esk49_3 @ X806 @ X807 @ X812))|~(X807 @ X812)|((descr @ (^[Z0/* 3 */:$i]:((X806 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X807 @ Z0)))))|(((X810)!=(esk48_3 @ X806 @ X807 @ X810))|~(X806 @ X810))|(~(X806 @ (esk46_2 @ X806 @ X807))|~(X807 @ (esk47_2 @ X806 @ X807))))))&((((X807 @ (esk49_3 @ X806 @ X807 @ X812))|~(X807 @ X812)|((descr @ (^[Z0/* 3 */:$i]:((X806 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X807 @ Z0)))))|((X806 @ (esk48_3 @ X806 @ X807 @ X810))|~(X806 @ X810))|((X806 @ (esk46_2 @ X806 @ X807))|(X807 @ (esk47_2 @ X806 @ X807))))&(((X812)!=(esk49_3 @ X806 @ X807 @ X812))|~(X807 @ X812)|((descr @ (^[Z0/* 3 */:$i]:((X806 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X807 @ Z0)))))|((X806 @ (esk48_3 @ X806 @ X807 @ X810))|~(X806 @ X810))|((X806 @ (esk46_2 @ X806 @ X807))|(X807 @ (esk47_2 @ X806 @ X807)))))&(((X807 @ (esk49_3 @ X806 @ X807 @ X812))|~(X807 @ X812)|((descr @ (^[Z0/* 3 */:$i]:((X806 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X807 @ Z0)))))|(((X810)!=(esk48_3 @ X806 @ X807 @ X810))|~(X806 @ X810))|((X806 @ (esk46_2 @ X806 @ X807))|(X807 @ (esk47_2 @ X806 @ X807))))&(((X812)!=(esk49_3 @ X806 @ X807 @ X812))|~(X807 @ X812)|((descr @ (^[Z0/* 3 */:$i]:((X806 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X807 @ Z0)))))|(((X810)!=(esk48_3 @ X806 @ X807 @ X810))|~(X806 @ X810))|((X806 @ (esk46_2 @ X806 @ X807))|(X807 @ (esk47_2 @ X806 @ X807))))))))&((((in @ (esk50_4 @ X814 @ X815 @ X816 @ X817) @ X814)|((dsetconstr @ X814 @ (^[Z0/* 3 */:$i]:((X816 @ Z0))))=(dsetconstr @ X815 @ (^[Z0/* 3 */:$i]:((X817 @ Z0)))))|((X814)!=(X815)))&(((in @ (esk51_4 @ X814 @ X815 @ X816 @ X817) @ X815)|((dsetconstr @ X814 @ (^[Z0/* 3 */:$i]:((X816 @ Z0))))=(dsetconstr @ X815 @ (^[Z0/* 3 */:$i]:((X817 @ Z0)))))|((X814)!=(X815)))&((((esk50_4 @ X814 @ X815 @ X816 @ X817)=(esk51_4 @ X814 @ X815 @ X816 @ X817))|((dsetconstr @ X814 @ (^[Z0/* 3 */:$i]:((X816 @ Z0))))=(dsetconstr @ X815 @ (^[Z0/* 3 */:$i]:((X817 @ Z0)))))|((X814)!=(X815)))&((~(X816 @ (esk50_4 @ X814 @ X815 @ X816 @ X817))|~(X817 @ (esk51_4 @ X814 @ X815 @ X816 @ X817))|((dsetconstr @ X814 @ (^[Z0/* 3 */:$i]:((X816 @ Z0))))=(dsetconstr @ X815 @ (^[Z0/* 3 */:$i]:((X817 @ Z0)))))|((X814)!=(X815)))&((X816 @ (esk50_4 @ X814 @ X815 @ X816 @ X817))|(X817 @ (esk51_4 @ X814 @ X815 @ X816 @ X817))|((dsetconstr @ X814 @ (^[Z0/* 3 */:$i]:((X816 @ Z0))))=(dsetconstr @ X815 @ (^[Z0/* 3 */:$i]:((X817 @ Z0)))))|((X814)!=(X815)))))))&((((in @ (esk52_2 @ X820 @ X821) @ X820)|(subset @ X820 @ X821))&(~(in @ (esk52_2 @ X820 @ X821) @ X821)|(subset @ X820 @ X821)))&((((X823)!=(X824))|(subset @ X824 @ X823))&((((X825)!=(X826))|(subset @ X825 @ X826))&((((in @ (esk53_2 @ X827 @ X828) @ X827)|(subset @ X827 @ X828))&(~(in @ (esk53_2 @ X827 @ X828) @ X828)|(subset @ X827 @ X828)))&((subset @ emptyset @ X830)&((~(subset @ X831 @ X832)|(~(in @ X833 @ X831)|(in @ X833 @ X832)))&((~(subset @ X834 @ X835)|((in @ X836 @ X835)|~(in @ X836 @ X834)))&((~(in @ X839 @ X837)|((in @ X839 @ X838)|~(subset @ X837 @ X838)))&(((subset @ X840 @ X841)|((X840)!=(X841)))&((~(in @ X844 @ X842)|((in @ X844 @ X843)|((X842)!=(X843))))&((subset @ X845 @ X845)&((~(subset @ X846 @ X847)|(~(subset @ X847 @ X848)|(subset @ X846 @ X848)))&((subset @ X850 @ (setadjoin @ X849 @ X850))&((~(subset @ X851 @ X853)|(subset @ X851 @ (setadjoin @ X852 @ X853)))&((~(subset @ X854 @ X855)|(in @ X854 @ (powerset @ X855)))&((~(subset @ X856 @ X857)|(~(subset @ X857 @ X856)|((X856)=(X857))))&((~(subset @ X858 @ emptyset)|((X858)=(emptyset)))&((~(subset @ X860 @ X859)|(in @ X860 @ (powerset @ X859)))&((~(in @ X862 @ (powerset @ X861))|(subset @ X862 @ X861))&((in @ X863 @ (powerset @ X863))&((subset @ esk54_0 @ esk55_0)&~(subset @ (powerset @ esk54_0) @ (powerset @ esk55_0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_136])])])])])])).
26.00/3.82	thf(c_0_138, negated_conjecture, ![X2:$i, X3:$i]:(((subset @ X2 @ X3)|~((in @ (esk52_2 @ X2 @ X3) @ X3)))), inference(split_conjunct,[status(thm)],[c_0_137])).
26.00/3.82	thf(c_0_139, negated_conjecture, ![X2:$i, X3:$i]:(((in @ X2 @ (powerset @ X3))|~((subset @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_137])).
26.00/3.82	thf(c_0_140, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(((subset @ X2 @ X4)|~((subset @ X2 @ X3))|~((subset @ X3 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_137])).
26.00/3.82	thf(c_0_141, negated_conjecture, (subset @ esk54_0 @ esk55_0), inference(split_conjunct,[status(thm)],[c_0_137])).
26.00/3.82	thf(c_0_142, negated_conjecture, ![X2:$i, X3:$i]:(((subset @ X2 @ (powerset @ X3))|~((subset @ (esk52_2 @ X2 @ (powerset @ X3)) @ X3)))), inference(spm,[status(thm)],[c_0_138, c_0_139])).
26.00/3.82	thf(c_0_143, negated_conjecture, ![X2:$i]:(((subset @ X2 @ esk55_0)|~((subset @ X2 @ esk54_0)))), inference(spm,[status(thm)],[c_0_140, c_0_141])).
26.00/3.82	thf(c_0_144, negated_conjecture, ![X2:$i, X3:$i]:(((subset @ X2 @ X3)|~((in @ X2 @ (powerset @ X3))))), inference(split_conjunct,[status(thm)],[c_0_137])).
26.00/3.82	thf(c_0_145, negated_conjecture, ![X2:$i, X3:$i]:(((in @ (esk52_2 @ X2 @ X3) @ X2)|(subset @ X2 @ X3))), inference(split_conjunct,[status(thm)],[c_0_137])).
26.00/3.82	thf(c_0_146, negated_conjecture, ![X2:$i]:(((subset @ X2 @ (powerset @ esk55_0))|~((subset @ (esk52_2 @ X2 @ (powerset @ esk55_0)) @ esk54_0)))), inference(spm,[status(thm)],[c_0_142, c_0_143])).
26.00/3.82	thf(c_0_147, negated_conjecture, ![X2:$i, X3:$i]:(((subset @ (esk52_2 @ (powerset @ X2) @ X3) @ X2)|(subset @ (powerset @ X2) @ X3))), inference(spm,[status(thm)],[c_0_144, c_0_145])).
26.00/3.82	thf(c_0_148, negated_conjecture, ~((subset @ (powerset @ esk54_0) @ (powerset @ esk55_0))), inference(split_conjunct,[status(thm)],[c_0_137])).
26.00/3.82	thf(c_0_149, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_146, c_0_147]), c_0_148]), ['proof']).
26.00/3.82	# SZS output end CNFRefutation
26.00/3.82	# Parsed axioms                        : 208
26.00/3.82	# Removed by relevancy pruning/SinE    : 111
26.00/3.82	# Initial clauses                      : 206
26.00/3.82	# Removed in clause preprocessing      : 13
26.00/3.82	# Initial clauses in saturation        : 193
26.00/3.82	# Processed clauses                    : 6777
26.00/3.82	# ...of these trivial                  : 220
26.00/3.82	# ...subsumed                          : 3406
26.00/3.82	# ...remaining for further processing  : 3151
26.00/3.82	# Other redundant clauses eliminated   : 526
26.00/3.82	# Clauses deleted for lack of memory   : 0
26.00/3.82	# Backward-subsumed                    : 105
26.00/3.82	# Backward-rewritten                   : 18
26.00/3.82	# Generated clauses                    : 315570
26.00/3.82	# ...of the previous two non-redundant : 282787
26.00/3.82	# ...aggressively subsumed             : 0
26.00/3.82	# Contextual simplify-reflections      : 2
26.00/3.82	# Paramodulations                      : 314987
26.00/3.82	# Factorizations                       : 56
26.00/3.82	# NegExts                              : 0
26.00/3.82	# Equation resolutions                 : 526
26.00/3.82	# Total rewrite steps                  : 51397
26.00/3.82	# Propositional unsat checks           : 0
26.00/3.82	#    Propositional check models        : 0
26.00/3.82	#    Propositional check unsatisfiable : 0
26.00/3.82	#    Propositional clauses             : 0
26.00/3.82	#    Propositional clauses after purity: 0
26.00/3.82	#    Propositional unsat core size     : 0
26.00/3.82	#    Propositional preprocessing time  : 0.000
26.00/3.82	#    Propositional encoding time       : 0.000
26.00/3.82	#    Propositional solver time         : 0.000
26.00/3.82	#    Success case prop preproc time    : 0.000
26.00/3.82	#    Success case prop encoding time   : 0.000
26.00/3.82	#    Success case prop solver time     : 0.000
26.00/3.82	# Current number of processed clauses  : 2847
26.00/3.82	#    Positive orientable unit clauses  : 687
26.00/3.82	#    Positive unorientable unit clauses: 0
26.00/3.82	#    Negative unit clauses             : 45
26.00/3.82	#    Non-unit-clauses                  : 2115
26.00/3.82	# Current number of unprocessed clauses: 274176
26.00/3.82	# ...number of literals in the above   : 870255
26.00/3.82	# Current number of archived formulas  : 0
26.00/3.82	# Current number of archived clauses   : 291
26.00/3.82	# Clause-clause subsumption calls (NU) : 326398
26.00/3.82	# Rec. Clause-clause subsumption calls : 176307
26.00/3.82	# Non-unit clause-clause subsumptions  : 3021
26.00/3.82	# Unit Clause-clause subsumption calls : 54177
26.00/3.82	# Rewrite failures with RHS unbound    : 0
26.00/3.82	# BW rewrite match attempts            : 11897
26.00/3.82	# BW rewrite match successes           : 15
26.00/3.82	# Condensation attempts                : 0
26.00/3.82	# Condensation successes               : 0
26.00/3.82	# Termbank termtop insertions          : 4737443
26.00/3.82	
26.00/3.82	# -------------------------------------------------
26.00/3.82	# User time                : 3.148 s
26.00/3.82	# System time              : 0.142 s
26.00/3.82	# Total time               : 3.291 s
26.00/3.82	# Maximum resident set size: 4492 pages
26.49/3.91	
26.49/3.91	# -------------------------------------------------
26.49/3.91	# User time                : 3.153 s
26.49/3.91	# System time              : 0.145 s
26.49/3.91	# Total time               : 3.298 s
26.49/3.91	# Maximum resident set size: 1940 pages
26.49/3.91	% E---3.1 exiting
26.49/3.91	EOF