0.07/0.13	% Problem    : Vampire---4.8_3380 : TPTP v0.0.0. Released v0.0.0.
0.07/0.14	% Command    : run_E %s %d THM
0.14/0.35	% Computer : n015.cluster.edu
0.14/0.35	% Model    : x86_64 x86_64
0.14/0.35	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.35	% Memory   : 8042.1875MB
0.14/0.35	% OS       : Linux 3.10.0-693.el7.x86_64
0.14/0.35	% CPULimit   : 1440
0.14/0.35	% WCLimit    : 180
0.14/0.35	% DateTime   : Mon Jul  3 13:21:55 EDT 2023
0.14/0.35	% CPUTime    : 
0.20/0.49	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.RJuZp5eHRG/Vampire---4.8_3380
0.20/0.49	# Version: 3.1pre001-ho
0.39/0.55	# Preprocessing class: HSMMSLSSLLLCHFA.
0.39/0.55	# Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.39/0.55	# Starting ehoh_best3_avoidappvar with 900s (5) cores
0.39/0.55	# Starting ehoh_best3_rw with 180s (1) cores
0.39/0.55	# Starting almost_fo_3 with 180s (1) cores
0.39/0.55	# Starting new_ho_13 with 180s (1) cores
0.39/0.55	# ehoh_best3_rw with pid 3560 completed with status 0
0.39/0.55	# Result found by ehoh_best3_rw
0.39/0.55	# Preprocessing class: HSMMSLSSLLLCHFA.
0.39/0.55	# Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.39/0.55	# Starting ehoh_best3_avoidappvar with 900s (5) cores
0.39/0.55	# Starting ehoh_best3_rw with 180s (1) cores
0.39/0.55	# SinE strategy is gf120_gu_RUU_F100_L01000
0.39/0.55	# Search class: HGHSM-FSLM31-SHFMMMBN
0.39/0.55	# Scheduled 6 strats onto 1 cores with 180 seconds (180 total)
0.39/0.55	# Starting ho_unfolding_3 with 98s (1) cores
0.39/0.55	# ho_unfolding_3 with pid 3563 completed with status 0
0.39/0.55	# Result found by ho_unfolding_3
0.39/0.55	# Preprocessing class: HSMMSLSSLLLCHFA.
0.39/0.55	# Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.39/0.55	# Starting ehoh_best3_avoidappvar with 900s (5) cores
0.39/0.55	# Starting ehoh_best3_rw with 180s (1) cores
0.39/0.55	# SinE strategy is gf120_gu_RUU_F100_L01000
0.39/0.55	# Search class: HGHSM-FSLM31-SHFMMMBN
0.39/0.55	# Scheduled 6 strats onto 1 cores with 180 seconds (180 total)
0.39/0.55	# Starting ho_unfolding_3 with 98s (1) cores
0.39/0.55	# Preprocessing time       : 0.005 s
0.39/0.55	# Presaturation interreduction done
0.39/0.55	
0.39/0.55	# Proof found!
0.39/0.55	# SZS status Theorem
0.39/0.55	# SZS output start CNFRefutation
0.39/0.55	thf(decl_22, type, in: $i > $i > $o).
0.39/0.55	thf(decl_23, type, exu: ($i > $o) > $o).
0.39/0.55	thf(decl_24, type, setextAx: $o).
0.39/0.55	thf(decl_25, type, emptyset: $i).
0.39/0.55	thf(decl_26, type, emptysetAx: $o).
0.39/0.55	thf(decl_27, type, setadjoin: $i > $i > $i).
0.39/0.55	thf(decl_28, type, setadjoinAx: $o).
0.39/0.55	thf(decl_29, type, powerset: $i > $i).
0.39/0.55	thf(decl_30, type, powersetAx: $o).
0.39/0.55	thf(decl_31, type, setunion: $i > $i).
0.39/0.55	thf(decl_32, type, setunionAx: $o).
0.39/0.55	thf(decl_33, type, omega: $i).
0.39/0.55	thf(decl_34, type, omega0Ax: $o).
0.39/0.55	thf(decl_35, type, omegaSAx: $o).
0.39/0.55	thf(decl_36, type, omegaIndAx: $o).
0.39/0.55	thf(decl_37, type, replAx: $o).
0.39/0.55	thf(decl_38, type, foundationAx: $o).
0.39/0.55	thf(decl_39, type, wellorderingAx: $o).
0.39/0.55	thf(decl_40, type, descr: ($i > $o) > $i).
0.39/0.55	thf(decl_41, type, descrp: $o).
0.39/0.55	thf(decl_42, type, dsetconstr: $i > ($i > $o) > $i).
0.39/0.55	thf(decl_43, type, dsetconstrI: $o).
0.39/0.55	thf(decl_44, type, dsetconstrEL: $o).
0.39/0.55	thf(decl_45, type, dsetconstrER: $o).
0.39/0.55	thf(decl_46, type, exuE1: $o).
0.39/0.55	thf(decl_47, type, prop2set: $o > $i).
0.39/0.55	thf(decl_48, type, prop2setE: $o).
0.39/0.55	thf(decl_49, type, emptysetE: $o).
0.39/0.55	thf(decl_50, type, emptysetimpfalse: $o).
0.39/0.55	thf(decl_51, type, notinemptyset: $o).
0.39/0.55	thf(decl_52, type, exuE3e: $o).
0.39/0.55	thf(decl_53, type, setext: $o).
0.39/0.55	thf(decl_54, type, emptyI: $o).
0.39/0.55	thf(decl_55, type, noeltsimpempty: $o).
0.39/0.55	thf(decl_56, type, setbeta: $o).
0.39/0.55	thf(decl_57, type, nonempty: $i > $o).
0.39/0.55	thf(decl_58, type, nonemptyE1: $o).
0.39/0.55	thf(decl_59, type, nonemptyI: $o).
0.39/0.55	thf(decl_60, type, nonemptyI1: $o).
0.39/0.55	thf(decl_61, type, setadjoinIL: $o).
0.39/0.55	thf(decl_62, type, emptyinunitempty: $o).
0.39/0.55	thf(decl_63, type, setadjoinIR: $o).
0.39/0.55	thf(decl_64, type, setadjoinE: $o).
0.39/0.55	thf(decl_65, type, setadjoinOr: $o).
0.39/0.55	thf(decl_66, type, setoftrueEq: $o).
0.39/0.55	thf(decl_67, type, powersetI: $o).
0.39/0.55	thf(decl_68, type, emptyinPowerset: $o).
0.39/0.55	thf(decl_69, type, emptyInPowerset: $o).
0.39/0.55	thf(decl_70, type, powersetE: $o).
0.39/0.55	thf(decl_71, type, setunionI: $o).
0.39/0.55	thf(decl_72, type, setunionE: $o).
0.39/0.55	thf(decl_73, type, subPowSU: $o).
0.39/0.55	thf(decl_74, type, exuE2: $o).
0.39/0.55	thf(decl_75, type, nonemptyImpWitness: $o).
0.39/0.55	thf(decl_76, type, uniqinunit: $o).
0.39/0.55	thf(decl_77, type, notinsingleton: $o).
0.39/0.55	thf(decl_78, type, eqinunit: $o).
0.39/0.55	thf(decl_79, type, singletonsswitch: $o).
0.39/0.55	thf(decl_80, type, upairsetE: $o).
0.39/0.55	thf(decl_81, type, upairsetIL: $o).
0.39/0.55	thf(decl_82, type, upairsetIR: $o).
0.39/0.55	thf(decl_83, type, emptyE1: $o).
0.39/0.55	thf(decl_84, type, vacuousDall: $o).
0.39/0.55	thf(decl_85, type, quantDeMorgan1: $o).
0.39/0.55	thf(decl_86, type, quantDeMorgan2: $o).
0.39/0.55	thf(decl_87, type, quantDeMorgan3: $o).
0.39/0.55	thf(decl_88, type, quantDeMorgan4: $o).
0.39/0.55	thf(decl_89, type, prop2setI: $o).
0.39/0.55	thf(decl_91, type, prop2set2propI: $o).
0.39/0.55	thf(decl_92, type, notdexE: $o).
0.39/0.55	thf(decl_93, type, notdallE: $o).
0.39/0.55	thf(decl_94, type, exuI1: $o).
0.39/0.55	thf(decl_95, type, exuI3: $o).
0.39/0.55	thf(decl_96, type, exuI2: $o).
0.39/0.55	thf(decl_97, type, inCongP: $o).
0.39/0.55	thf(decl_98, type, in__Cong: $o).
0.39/0.55	thf(decl_99, type, exuE3u: $o).
0.39/0.55	thf(decl_100, type, exu__Cong: $o).
0.39/0.55	thf(decl_101, type, emptyset__Cong: $o).
0.39/0.55	thf(decl_102, type, setadjoin__Cong: $o).
0.39/0.55	thf(decl_103, type, powerset__Cong: $o).
0.39/0.55	thf(decl_104, type, setunion__Cong: $o).
0.39/0.55	thf(decl_105, type, omega__Cong: $o).
0.39/0.55	thf(decl_106, type, exuEu: $o).
0.39/0.55	thf(decl_107, type, descr__Cong: $o).
0.39/0.55	thf(decl_108, type, dsetconstr__Cong: $o).
0.39/0.55	thf(decl_109, type, subset: $i > $i > $o).
0.39/0.55	thf(decl_112, type, subsetI1: $o).
0.39/0.55	thf(decl_113, type, eqimpsubset2: $o).
0.39/0.55	thf(decl_114, type, eqimpsubset1: $o).
0.39/0.55	thf(decl_115, type, subsetI2: $o).
0.39/0.55	thf(decl_116, type, emptysetsubset: $o).
0.39/0.55	thf(decl_117, type, subsetE: $o).
0.39/0.55	thf(decl_118, type, subsetE2: $o).
0.39/0.55	thf(decl_119, type, notsubsetI: $o).
0.39/0.55	thf(decl_120, type, notequalI1: $o).
0.39/0.55	thf(decl_121, type, notequalI2: $o).
0.39/0.55	thf(decl_122, type, subsetRefl: $o).
0.39/0.55	thf(decl_123, type, subsetTrans: $o).
0.39/0.55	thf(decl_124, type, setadjoinSub: $o).
0.39/0.55	thf(decl_125, type, setadjoinSub2: $o).
0.39/0.55	thf(decl_126, type, subset2powerset: $o).
0.39/0.55	thf(decl_127, type, setextsub: $o).
0.39/0.55	thf(decl_128, type, epred1_0: $o).
0.39/0.55	thf(decl_129, type, esk1_2: $i > $i > $i).
0.39/0.55	thf(decl_130, type, esk2_2: $i > $i > $i).
0.39/0.55	thf(decl_131, type, esk3_2: $i > $i > $i).
0.39/0.55	thf(decl_132, type, esk4_1: $i > $i).
0.39/0.55	thf(decl_133, type, esk5_2: ($i > $i > $o) > $i > $i).
0.39/0.55	thf(decl_134, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
0.39/0.55	thf(decl_135, type, esk7_2: ($i > $i > $o) > $i > $i).
0.39/0.55	thf(decl_136, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
0.39/0.55	thf(decl_137, type, esk9_1: $i > $i).
0.39/0.55	thf(decl_138, type, esk10_2: ($i > $o) > $i > $i).
0.39/0.55	thf(decl_139, type, esk11_2: ($i > $o) > $i > $i).
0.39/0.55	thf(decl_140, type, esk12_1: ($i > $o) > $i).
0.39/0.55	thf(decl_141, type, esk13_2: ($i > $o) > $i > $i).
0.39/0.55	thf(decl_142, type, esk14_1: ($i > $o) > $i).
0.39/0.55	thf(decl_143, type, esk15_2: $i > $i > $i).
0.39/0.55	thf(decl_144, type, esk16_2: $i > $i > $i).
0.39/0.55	thf(decl_145, type, esk17_1: $i > $i).
0.39/0.55	thf(decl_146, type, esk18_1: $i > $i).
0.39/0.55	thf(decl_147, type, esk19_1: $i > $i).
0.39/0.55	thf(decl_148, type, esk20_2: $i > $i > $i).
0.39/0.55	thf(decl_149, type, esk21_3: $i > $i > $o > $i).
0.39/0.55	thf(decl_150, type, esk22_2: ($i > $o) > $i > $i).
0.39/0.55	thf(decl_151, type, esk23_1: ($i > $o) > $i).
0.39/0.55	thf(decl_152, type, esk24_1: $i > $i).
0.39/0.55	thf(decl_153, type, esk25_2: $i > ($i > $o) > $i).
0.39/0.55	thf(decl_154, type, esk26_2: $i > ($i > $o) > $i).
0.39/0.55	thf(decl_155, type, esk27_2: $i > ($i > $o) > $i).
0.39/0.55	thf(decl_156, type, esk28_2: $i > ($i > $o) > $i).
0.39/0.55	thf(decl_157, type, esk29_2: $i > ($i > $o) > $i).
0.39/0.55	thf(decl_158, type, esk30_2: $i > ($i > $o) > $i).
0.39/0.55	thf(decl_159, type, esk31_2: ($i > $o) > $i > $i).
0.39/0.55	thf(decl_160, type, esk32_1: ($i > $o) > $i).
0.39/0.55	thf(decl_161, type, esk33_1: ($i > $o) > $i).
0.39/0.55	thf(decl_162, type, esk34_1: ($i > $o) > $i).
0.39/0.55	thf(decl_163, type, esk35_1: ($i > $o) > $i).
0.39/0.55	thf(decl_164, type, esk36_2: ($i > $o) > $i > $i).
0.39/0.55	thf(decl_165, type, esk37_1: ($i > $o) > $i).
0.39/0.55	thf(decl_166, type, esk38_2: ($i > $o) > $i > $i).
0.39/0.55	thf(decl_167, type, esk39_2: ($i > $o) > ($i > $o) > $i).
0.39/0.55	thf(decl_168, type, esk40_2: ($i > $o) > ($i > $o) > $i).
0.39/0.55	thf(decl_169, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
0.39/0.55	thf(decl_170, type, esk42_2: ($i > $o) > ($i > $o) > $i).
0.39/0.55	thf(decl_171, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
0.39/0.55	thf(decl_172, type, esk44_2: ($i > $o) > ($i > $o) > $i).
0.39/0.55	thf(decl_173, type, esk45_2: ($i > $o) > $i > $i).
0.39/0.55	thf(decl_174, type, esk46_2: ($i > $o) > ($i > $o) > $i).
0.39/0.55	thf(decl_175, type, esk47_2: ($i > $o) > ($i > $o) > $i).
0.39/0.55	thf(decl_176, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
0.39/0.55	thf(decl_177, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
0.39/0.55	thf(decl_178, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
0.39/0.55	thf(decl_179, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
0.39/0.55	thf(decl_180, type, esk52_2: $i > $i > $i).
0.39/0.55	thf(decl_181, type, esk53_2: $i > $i > $i).
0.39/0.55	thf(decl_182, type, esk54_0: $i).
0.39/0.55	thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', nonempty)).
0.39/0.55	thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', exuE3e)).
0.39/0.55	thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', exu)).
0.39/0.55	thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', exuI1)).
0.39/0.55	thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', exuI3)).
0.39/0.55	thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', exuI2)).
0.39/0.55	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.RJuZp5eHRG/Vampire---4.8_3380', exuE3u)).
0.39/0.55	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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', descr__Cong)).
0.39/0.55	thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', exuEu)).
0.39/0.55	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:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', exu__Cong)).
0.39/0.55	thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', exuE2)).
0.39/0.55	thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', nonemptyI)).
0.39/0.55	thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', exuE1)).
0.39/0.55	thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', descrp)).
0.39/0.55	thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', replAx)).
0.39/0.55	thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', nonemptyI1)).
0.39/0.55	thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', setbeta)).
0.39/0.55	thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', dsetconstrEL)).
0.39/0.55	thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', dsetconstrI)).
0.39/0.55	thf(emptyE1, axiom, ((emptyE1)<=>![X4:$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.RJuZp5eHRG/Vampire---4.8_3380', emptyE1)).
0.39/0.55	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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', dsetconstr__Cong)).
0.39/0.55	thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', nonemptyImpWitness)).
0.39/0.55	thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', setoftrueEq)).
0.39/0.55	thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', nonemptyE1)).
0.39/0.55	thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', dsetconstrER)).
0.39/0.55	thf(subsetemptysetimpeq, conjecture, ((((setadjoinAx)=>(((setunionAx)=>((((omegaIndAx)=>((replAx)=>(((wellorderingAx)=>((descrp)=>((((dsetconstrER)=>((exuE1)=>(((emptysetE)=>(((notinemptyset)=>((((emptyI)=>((noeltsimpempty)=>(((nonemptyE1)=>((nonemptyI)=>(((setadjoinIL)=>((((setadjoinE)=>((((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((((uniqinunit)=>(((eqinunit)=>(((((upairsetIR)=>((emptyE1)=>(((quantDeMorgan1)=>(((quantDeMorgan3)=>(((prop2setI)=>(((notdexE)=>(((exuI1)=>((exuI3)=>((exuI2)=>((((exuE3u)=>(((emptyset__Cong)=>((setadjoin__Cong)=>((((((((subsetI1)=>(((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((subsetE)=>(((notsubsetI)=>((notequalI1)=>(((((((subset2powerset)=>(![X4:$i]:((((X4)=(emptyset))<=(subset @ X4 @ emptyset)))<=(setextsub)))<=(setadjoinSub2))<=(setadjoinSub))<=(subsetTrans))<=(subsetRefl))<=(notequalI2))))<=(subsetE2))))))<=(eqimpsubset2)))<=(dsetconstr__Cong))<=(descr__Cong))<=(exuEu))<=(omega__Cong))<=(setunion__Cong))<=(powerset__Cong))))<=(exu__Cong)))<=(in__Cong))<=(inCongP)))))<=(notdallE)))<=(prop2set2propI)))<=(quantDeMorgan4)))<=(quantDeMorgan2)))<=(vacuousDall))))<=(upairsetIL))<=(upairsetE))<=(singletonsswitch)))<=(notinsingleton)))<=(nonemptyImpWitness))<=(exuE2)))))))))<=(setoftrueEq))<=(setadjoinOr)))<=(setadjoinIR))<=(emptyinunitempty)))<=(nonemptyI1))))<=(setbeta))))<=(setext))<=(exuE3e)))<=(emptysetimpfalse)))<=(prop2setE))))<=(dsetconstrEL))<=(dsetconstrI))))<=(foundationAx))))<=(omegaSAx))<=(omega0Ax)))<=(powersetAx)))<=(emptysetAx))<=(setextAx)), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', subsetemptysetimpeq)).
0.39/0.55	thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', emptyinPowerset)).
0.39/0.55	thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', setextAx)).
0.39/0.55	thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', setadjoinIR)).
0.39/0.55	thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', powersetI)).
0.39/0.55	thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', emptyinunitempty)).
0.39/0.55	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.RJuZp5eHRG/Vampire---4.8_3380', setunionE)).
0.39/0.55	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.RJuZp5eHRG/Vampire---4.8_3380', setext)).
0.39/0.55	thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', subPowSU)).
0.39/0.55	thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', emptysetimpfalse)).
0.39/0.55	thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', prop2setE)).
0.39/0.55	thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', uniqinunit)).
0.39/0.55	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.RJuZp5eHRG/Vampire---4.8_3380', foundationAx)).
0.39/0.55	thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', eqinunit)).
0.39/0.55	thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', omegaSAx)).
0.39/0.55	thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', omega0Ax)).
0.39/0.55	thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', upairsetIR)).
0.39/0.55	thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', powersetAx)).
0.39/0.55	thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', emptysetAx)).
0.39/0.55	thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', quantDeMorgan1)).
0.39/0.55	thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', notsubsetI)).
0.39/0.55	thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', emptyInPowerset)).
0.39/0.55	thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', quantDeMorgan3)).
0.39/0.55	thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', prop2setI)).
0.39/0.55	thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', notdexE)).
0.39/0.55	thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', emptyset__Cong)).
0.39/0.55	thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', setadjoin__Cong)).
0.39/0.55	thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', subsetI1)).
0.39/0.55	thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', eqimpsubset1)).
0.39/0.55	thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', subsetI2)).
0.39/0.55	thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', emptysetsubset)).
0.39/0.55	thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', subsetE)).
0.39/0.55	thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', notequalI1)).
0.39/0.55	thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', subset2powerset)).
0.39/0.55	thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', setextsub)).
0.39/0.55	thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', setadjoinSub2)).
0.39/0.55	thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', setadjoinSub)).
0.39/0.55	thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', subsetTrans)).
0.39/0.55	thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', subsetRefl)).
0.39/0.55	thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', notequalI2)).
0.39/0.55	thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', powersetE)).
0.39/0.55	thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', subsetE2)).
0.39/0.55	thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', eqimpsubset2)).
0.39/0.55	thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', omega__Cong)).
0.39/0.55	thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', setunion__Cong)).
0.39/0.55	thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', powerset__Cong)).
0.39/0.55	thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', in__Cong)).
0.39/0.55	thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', inCongP)).
0.39/0.55	thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', notdallE)).
0.39/0.55	thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', quantDeMorgan4)).
0.39/0.55	thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', quantDeMorgan2)).
0.39/0.55	thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', vacuousDall)).
0.39/0.55	thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', upairsetIL)).
0.39/0.55	thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', upairsetE)).
0.39/0.55	thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', singletonsswitch)).
0.39/0.55	thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', notinsingleton)).
0.39/0.55	thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', setadjoinOr)).
0.39/0.55	thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', setunionI)).
0.39/0.55	thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', setadjoinE)).
0.39/0.55	thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', setadjoinIL)).
0.39/0.55	thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', noeltsimpempty)).
0.39/0.55	thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', emptyI)).
0.39/0.55	thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', notinemptyset)).
0.39/0.55	thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', emptysetE)).
0.39/0.55	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:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', wellorderingAx)).
0.39/0.55	thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$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.RJuZp5eHRG/Vampire---4.8_3380', omegaIndAx)).
0.39/0.55	thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', setunionAx)).
0.39/0.55	thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.RJuZp5eHRG/Vampire---4.8_3380', setadjoinAx)).
0.39/0.55	thf(c_0_93, plain, ((nonempty)=(^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
0.39/0.55	thf(c_0_94, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
0.39/0.55	thf(c_0_95, plain, ((exu)=(^[Z0/* 5 */:$i > $o]:(?[X2:$i]:(((Z0 @ X2)&![X3:$i]:(((Z0 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exu])).
0.39/0.55	thf(c_0_96, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])).
0.39/0.55	thf(c_0_97, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
0.39/0.55	thf(c_0_98, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
0.39/0.55	thf(c_0_99, 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])).
0.39/0.55	thf(c_0_100, 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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
0.39/0.55	thf(c_0_101, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
0.39/0.55	thf(c_0_102, 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 */:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
0.39/0.55	thf(c_0_103, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
0.39/0.55	thf(c_0_104, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
0.39/0.55	thf(c_0_105, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
0.39/0.55	thf(c_0_106, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
0.39/0.55	thf(c_0_107, plain, ((replAx)<=>![X6:$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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
0.39/0.55	thf(c_0_108, axiom, ((nonemptyI1)=(![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(((X4)!=(emptyset))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_93])).
0.39/0.55	thf(c_0_109, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
0.39/0.55	thf(c_0_110, plain, ((exuE3e)=(![X1:$i > $o]:(((?[X275:$i]:((((X1 @ X275))&![X276:$i]:((((X1 @ X276))=>((X275)=(X276)))))))=>?[X2:$i]:((X1 @ X2)))))), inference(apply_def,[status(thm)],[c_0_94, c_0_95])).
0.39/0.55	thf(c_0_111, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
0.39/0.55	thf(c_0_112, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
0.39/0.55	thf(c_0_113, plain, ((emptyE1)<=>![X4:$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])).
0.39/0.55	thf(c_0_114, plain, ((exuI1)=(![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(?[X279:$i]:((((X1 @ X279))&![X280:$i]:((((X1 @ X280))=>((X279)=(X280))))))))))), inference(apply_def,[status(thm)],[c_0_96, c_0_95])).
0.39/0.55	thf(c_0_115, plain, ((exuI3)=(![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(?[X281:$i]:((((X1 @ X281))&![X282:$i]:((((X1 @ X282))=>((X281)=(X282)))))))))))), inference(apply_def,[status(thm)],[c_0_97, c_0_95])).
0.39/0.55	thf(c_0_116, plain, ((exuI2)=(![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(?[X283:$i]:((((X1 @ X283))&![X284:$i]:((((X1 @ X284))=>((X283)=(X284))))))))))), inference(apply_def,[status(thm)],[c_0_98, c_0_95])).
0.39/0.55	thf(c_0_117, plain, ((exuE3u)=(![X1:$i > $o]:(((?[X285:$i]:((((X1 @ X285))&![X286:$i]:((((X1 @ X286))=>((X285)=(X286)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_99, c_0_95])).
0.39/0.55	thf(c_0_118, plain, ((dsetconstr__Cong)<=>![X4:$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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
0.39/0.55	thf(c_0_119, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X293:$i]:((((X1 @ X293))&![X294:$i]:((((X1 @ X294))=>((X293)=(X294)))))))=>((?[X295:$i]:((((X17 @ X295))&![X296:$i]:((((X17 @ X296))=>((X295)=(X296)))))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))))))))), inference(apply_def,[status(thm)],[c_0_100, c_0_95])).
0.39/0.55	thf(c_0_120, plain, ((exuEu)=(![X1:$i > $o]:(((?[X291:$i]:((((X1 @ X291))&![X292:$i]:((((X1 @ X292))=>((X291)=(X292)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_101, c_0_95])).
0.39/0.55	thf(c_0_121, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X287:$i]:((((X1 @ X287))&![X288:$i]:((((X1 @ X288))=>((X287)=(X288)))))))<=>(?[X289:$i]:((((X17 @ X289))&![X290:$i]:((((X17 @ X290))=>((X289)=(X290)))))))))))), inference(apply_def,[status(thm)],[c_0_102, c_0_95])).
0.39/0.55	thf(c_0_122, axiom, ((nonemptyImpWitness)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:(((in @ X2 @ X4)&($true))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_93])).
0.39/0.55	thf(c_0_123, plain, ((exuE2)=(![X1:$i > $o]:(((?[X277:$i]:((((X1 @ X277))&![X278:$i]:((((X1 @ X278))=>((X277)=(X278)))))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2))))))))), inference(apply_def,[status(thm)],[c_0_103, c_0_95])).
0.39/0.55	thf(c_0_124, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
0.39/0.55	thf(c_0_125, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))!=(emptyset)))))))), inference(apply_def,[status(thm)],[c_0_104, c_0_93])).
0.39/0.55	thf(c_0_126, axiom, ((nonemptyE1)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:((in @ X2 @ X4)))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_93])).
0.39/0.55	thf(c_0_127, plain, ((exuE1)=(![X1:$i > $o]:(((?[X273:$i]:((((X1 @ X273))&![X274:$i]:((((X1 @ X274))=>((X273)=(X274)))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))), inference(apply_def,[status(thm)],[c_0_105, c_0_95])).
0.39/0.55	thf(c_0_128, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
0.39/0.55	thf(c_0_129, plain, ((descrp)=(![X1:$i > $o]:(((?[X271:$i]:((((X1 @ X271))&![X272:$i]:((((X1 @ X272))=>((X271)=(X272)))))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(apply_def,[status(thm)],[c_0_106, c_0_95])).
0.39/0.55	thf(c_0_130, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(?[X269:$i]:((((X6 @ X2 @ X269))&![X270:$i]:((((X6 @ X2 @ X270))=>((X269)=(X270)))))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2)))))))))), inference(apply_def,[status(thm)],[c_0_107, c_0_95])).
0.39/0.55	thf(c_0_131, plain, ((epred1_0)<=>![X314:$i]:(?[X315:$i]:((((![X316:$i]:(((in @ X316 @ X315)=>![X317:$i]:(((in @ X317 @ X316)=>(in @ X317 @ X314)))))&![X318:$i, X319:$i]:((((in @ X318 @ X314)&(in @ X319 @ X314))=>(![X320:$i]:(((in @ X320 @ X315)=>((in @ X318 @ X320)<=>(in @ X319 @ X320))))=>((X318)=(X319))))))&![X321:$i, X322:$i]:((((in @ X321 @ X315)&(in @ X322 @ X315))=>(![X323:$i]:(((in @ X323 @ X321)=>(in @ X323 @ X322)))|![X324:$i]:(((in @ X324 @ X322)=>(in @ X324 @ X321)))))))&![X325:$i]:(((![X326:$i]:(((in @ X326 @ X325)=>(in @ X326 @ X314)))&?[X327:$i]:((in @ X327 @ X325)))=>?[X328:$i, X329:$i]:(((((in @ X328 @ X315)&(in @ X329 @ X325))&~(?[X330:$i]:(((in @ X330 @ X328)&(in @ X330 @ X325)))))&![X331:$i]:(((in @ X331 @ X315)=>(![X332:$i]:(((in @ X332 @ X331)=>(in @ X332 @ X328)))|(in @ X329 @ X331)))))))))))), introduced(definition)).
0.39/0.55	thf(c_0_132, negated_conjecture, ~((![X571:$i, X572:$i]:((![X573:$i]:(((in @ X573 @ X571)<=>(in @ X573 @ X572)))=>((X571)=(X572))))=>(![X570:$i]:(~(in @ X570 @ emptyset))=>(![X297:$i, X298:$i, X299:$i]:(((in @ X299 @ (setadjoin @ X297 @ X298))<=>(((X299)=(X297))|(in @ X299 @ X298))))=>(![X567:$i, X568:$i]:(((in @ X568 @ (powerset @ X567))<=>![X569:$i]:(((in @ X569 @ X568)=>(in @ X569 @ X567)))))=>(![X300:$i, X301:$i]:(((in @ X301 @ (setunion @ X300))<=>?[X302:$i]:(((in @ X301 @ X302)&(in @ X302 @ X300)))))=>((in @ emptyset @ omega)=>(![X566:$i]:(((in @ X566 @ omega)=>(in @ (setadjoin @ X566 @ X566) @ omega)))=>(![X303:$i]:((((in @ emptyset @ X303)&![X304:$i]:((((in @ X304 @ omega)&(in @ X304 @ X303))=>(in @ (setadjoin @ X304 @ X304) @ X303))))=>![X305:$i]:(((in @ X305 @ omega)=>(in @ X305 @ X303)))))=>(![X306:$i > $i > $o, X307:$i]:((![X308:$i]:(((in @ X308 @ X307)=>?[X309:$i]:(((X306 @ X308 @ X309)&![X310:$i]:(((X306 @ X308 @ X310)=>((X309)=(X310))))))))=>?[X311:$i]:(![X312:$i]:(((in @ X312 @ X311)<=>?[X313:$i]:(((in @ X313 @ X307)&(X306 @ X313 @ X312))))))))=>(![X562:$i]:((?[X563:$i]:((in @ X563 @ X562))=>?[X564:$i]:(((in @ X564 @ X562)&~(?[X565:$i]:(((in @ X565 @ X564)&(in @ X565 @ X562))))))))=>((epred1_0)=>(![X333:$i > $o]:((?[X334:$i]:(((X333 @ X334)&![X335:$i]:(((X333 @ X335)=>((X334)=(X335))))))=>(X333 @ (descr @ (^[Z0/* 3 */:$i]:((X333 @ Z0)))))))=>(![X559:$i, X560:$i > $o, X561:$i]:(((in @ X561 @ X559)=>((X560 @ X561)=>(in @ X561 @ (dsetconstr @ X559 @ (^[Z0/* 3 */:$i]:((X560 @ Z0))))))))=>(![X556:$i, X557:$i > $o, X558:$i]:(((in @ X558 @ (dsetconstr @ X556 @ (^[Z0/* 3 */:$i]:((X557 @ Z0)))))=>(in @ X558 @ X556)))=>(![X336:$i, X337:$i > $o, X338:$i]:(((in @ X338 @ (dsetconstr @ X336 @ (^[Z0/* 3 */:$i]:((X337 @ Z0)))))=>(X337 @ X338)))=>(![X339:$i > $o]:((?[X340:$i]:(((X339 @ X340)&![X341:$i]:(((X339 @ X341)=>((X340)=(X341))))))=>?[X342:$i]:(((X339 @ X342)&![X343:$i]:(((X339 @ X343)=>((X342)=(X343))))))))=>(![X554:$o, X555:$i]:(((in @ X555 @ (prop2set @ ((X554))))=>(X554)))=>(![X344:$i]:(((in @ X344 @ emptyset)=>![X345:$o]:((X345))))=>(![X553:$i]:(~(in @ X553 @ emptyset))=>(![X346:$i]:(~(in @ X346 @ emptyset))=>(![X549:$i > $o]:((?[X550:$i]:(((X549 @ X550)&![X551:$i]:(((X549 @ X551)=>((X550)=(X551))))))=>?[X552:$i]:((X549 @ X552))))=>(![X545:$i, X546:$i]:((![X547:$i]:(((in @ X547 @ X545)=>(in @ X547 @ X546)))=>(![X548:$i]:(((in @ X548 @ X546)=>(in @ X548 @ X545)))=>((X545)=(X546)))))=>(![X347:$i]:((![X348:$i]:(~(in @ X348 @ X347))=>((X347)=(emptyset))))=>(![X349:$i]:((![X350:$i]:(~(in @ X350 @ X349))=>((X349)=(emptyset))))=>(![X542:$i, X543:$i > $o, X544:$i]:(((in @ X544 @ X542)=>((in @ X544 @ (dsetconstr @ X542 @ (^[Z0/* 3 */:$i]:((X543 @ Z0)))))<=>(X543 @ X544))))=>(![X351:$i]:((((X351)!=(emptyset))=>?[X352:$i]:((in @ X352 @ X351))))=>(![X353:$i, X354:$i > $o, X355:$i]:(((in @ X355 @ X353)=>((X354 @ X355)=>((dsetconstr @ X353 @ (^[Z0/* 3 */:$i]:((X354 @ Z0))))!=(emptyset)))))=>(![X540:$i]:((?[X541:$i]:((in @ X541 @ X540))=>((X540)!=(emptyset))))=>(![X356:$i, X357:$i]:((in @ X356 @ (setadjoin @ X356 @ X357)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X537:$i, X538:$i, X539:$i]:(((in @ X539 @ X538)=>(in @ X539 @ (setadjoin @ X537 @ X538))))=>(![X358:$i, X359:$i, X360:$i]:(((in @ X360 @ (setadjoin @ X358 @ X359))=>![X361:$o]:(((((X360)=(X358))=>(X361))=>(((in @ X360 @ X359)=>(X361))=>(X361))))))=>(![X534:$i, X535:$i, X536:$i]:(((in @ X536 @ (setadjoin @ X534 @ X535))=>(((X536)=(X534))|(in @ X536 @ X535))))=>(![X533:$i]:(((dsetconstr @ X533 @ (^[Z0/* 3 */:$i]:(($true))))=(X533)))=>(![X362:$i, X363:$i]:((![X364:$i]:(((in @ X364 @ X363)=>(in @ X364 @ X362)))=>(in @ X363 @ (powerset @ X362))))=>(![X365:$i]:((in @ emptyset @ (powerset @ X365)))=>(![X366:$i]:((in @ emptyset @ (powerset @ X366)))=>(![X367:$i, X368:$i, X369:$i]:(((in @ X368 @ (powerset @ X367))=>((in @ X369 @ X368)=>(in @ X369 @ X367))))=>(![X370:$i, X371:$i, X372:$i]:(((in @ X371 @ X372)=>((in @ X372 @ X370)=>(in @ X371 @ (setunion @ X370)))))=>(![X373:$i, X374:$i]:(((in @ X374 @ (setunion @ X373))=>![X375:$o]:((![X376:$i]:(((in @ X374 @ X376)=>((in @ X376 @ X373)=>(X375))))=>(X375)))))=>(![X377:$i, X378:$i]:(((in @ X378 @ X377)=>(in @ X378 @ (powerset @ (setunion @ X377)))))=>(![X528:$i > $o]:((?[X529:$i]:(((X528 @ X529)&![X530:$i]:(((X528 @ X530)=>((X529)=(X530))))))=>?[X531:$i]:(![X532:$i]:(((X528 @ X532)<=>((X532)=(X531)))))))=>(![X526:$i]:((((X526)!=(emptyset))=>?[X527:$i]:((in @ X527 @ X526))))=>(![X379:$i, X380:$i]:(((in @ X379 @ (setadjoin @ X380 @ emptyset))=>((X379)=(X380))))=>(![X524:$i, X525:$i]:((((X524)!=(X525))=>~(in @ X525 @ (setadjoin @ X524 @ emptyset))))=>(![X381:$i, X382:$i]:((((X381)=(X382))=>(in @ X381 @ (setadjoin @ X382 @ emptyset))))=>(![X522:$i, X523:$i]:(((in @ X522 @ (setadjoin @ X523 @ emptyset))=>(in @ X523 @ (setadjoin @ X522 @ emptyset))))=>(![X519:$i, X520:$i, X521:$i]:(((in @ X521 @ (setadjoin @ X519 @ (setadjoin @ X520 @ emptyset)))=>(((X521)=(X519))|((X521)=(X520)))))=>(![X517:$i, X518:$i]:((in @ X517 @ (setadjoin @ X517 @ (setadjoin @ X518 @ emptyset))))=>(![X383:$i, X384:$i]:((in @ X384 @ (setadjoin @ X383 @ (setadjoin @ X384 @ emptyset))))=>(![X385:$i, X386:$i > $o]:((?[X387:$i]:(((in @ X387 @ X385)&(X386 @ X387)))=>((dsetconstr @ X385 @ (^[Z0/* 3 */:$i]:((X386 @ Z0))))!=(emptyset))))=>(![X515:$i > $o, X516:$i]:(((in @ X516 @ emptyset)=>(X515 @ X516)))=>(![X388:$i, X389:$i > $o]:((~(![X390:$i]:(((in @ X390 @ X388)=>(X389 @ X390))))=>?[X391:$i]:(((in @ X391 @ X388)&~(X389 @ X391)))))=>(![X511:$i, X512:$i > $o]:((![X513:$i]:(((in @ X513 @ X511)=>~(X512 @ X513)))=>~(?[X514:$i]:(((in @ X514 @ X511)&(X512 @ X514))))))=>(![X392:$i, X393:$i > $o]:((~(?[X394:$i]:(((in @ X394 @ X392)&(X393 @ X394))))=>![X395:$i]:(((in @ X395 @ X392)=>~(X393 @ X395)))))=>(![X507:$i, X508:$i > $o]:((?[X509:$i]:(((in @ X509 @ X507)&~(X508 @ X509)))=>~(![X510:$i]:(((in @ X510 @ X507)=>(X508 @ X510))))))=>(![X396:$o]:(((X396)=>(in @ emptyset @ (prop2set @ ((X396))))))=>((prop2set2propI)=>(![X397:$i, X398:$i > $o]:((~(?[X399:$i]:(((in @ X399 @ X397)&(X398 @ X399))))=>![X400:$i]:(((in @ X400 @ X397)=>~(X398 @ X400)))))=>(![X503:$i, X504:$i > $o]:((~(![X505:$i]:(((in @ X505 @ X503)=>(X504 @ X505))))=>?[X506:$i]:(((in @ X506 @ X503)&~(X504 @ X506)))))=>(![X401:$i > $o]:((?[X402:$i]:(((X401 @ X402)&![X403:$i]:(((X401 @ X403)=>((X402)=(X403))))))=>?[X404:$i]:(((X401 @ X404)&![X405:$i]:(((X401 @ X405)=>((X404)=(X405))))))))=>(![X406:$i > $o]:((?[X407:$i]:((X406 @ X407))=>(![X408:$i, X409:$i]:(((X406 @ X408)=>((X406 @ X409)=>((X408)=(X409)))))=>?[X410:$i]:(((X406 @ X410)&![X411:$i]:(((X406 @ X411)=>((X410)=(X411)))))))))=>(![X412:$i > $o]:((?[X413:$i]:(![X414:$i]:(((X412 @ X414)<=>((X414)=(X413)))))=>?[X415:$i]:(((X412 @ X415)&![X416:$i]:(((X412 @ X416)=>((X415)=(X416))))))))=>(![X499:$i, X500:$i]:((((X499)=(X500))=>![X501:$i, X502:$i]:((((X501)=(X502))=>((in @ X501 @ X499)=>(in @ X502 @ X500))))))=>(![X495:$i, X496:$i]:((((X495)=(X496))=>![X497:$i, X498:$i]:((((X497)=(X498))=>((in @ X497 @ X495)<=>(in @ X498 @ X496))))))=>(![X417:$i > $o]:((?[X418:$i]:(((X417 @ X418)&![X419:$i]:(((X417 @ X419)=>((X418)=(X419))))))=>![X420:$i, X421:$i]:(((X417 @ X420)=>((X417 @ X421)=>((X420)=(X421)))))))=>(![X487:$i > $o, X488:$i > $o]:((![X489:$i, X490:$i]:((((X489)=(X490))=>((X487 @ X489)<=>(X488 @ X490))))=>(?[X491:$i]:(((X487 @ X491)&![X492:$i]:(((X487 @ X492)=>((X491)=(X492))))))<=>?[X493:$i]:(((X488 @ X493)&![X494:$i]:(((X488 @ X494)=>((X493)=(X494)))))))))=>(((emptyset)=(emptyset))=>(![X422:$i, X423:$i]:((((X422)=(X423))=>![X424:$i, X425:$i]:((((X424)=(X425))=>((setadjoin @ X422 @ X424)=(setadjoin @ X423 @ X425))))))=>(![X485:$i, X486:$i]:((((X485)=(X486))=>((powerset @ X485)=(powerset @ X486))))=>(![X483:$i, X484:$i]:((((X483)=(X484))=>((setunion @ X483)=(setunion @ X484))))=>(((omega)=(omega))=>(![X478:$i > $o]:((?[X479:$i]:(((X478 @ X479)&![X480:$i]:(((X478 @ X480)=>((X479)=(X480))))))=>![X481:$i, X482:$i]:(((X478 @ X481)=>((X478 @ X482)=>((X481)=(X482)))))))=>(![X470:$i > $o, X471:$i > $o]:((![X472:$i, X473:$i]:((((X472)=(X473))=>((X470 @ X472)<=>(X471 @ X473))))=>(?[X474:$i]:(((X470 @ X474)&![X475:$i]:(((X470 @ X475)=>((X474)=(X475))))))=>(?[X476:$i]:(((X471 @ X476)&![X477:$i]:(((X471 @ X477)=>((X476)=(X477))))))=>((descr @ (^[Z0/* 3 */:$i]:((X470 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X471 @ Z0)))))))))=>(![X464:$i, X465:$i]:((((X464)=(X465))=>![X466:$i > $o, X467:$i > $o]:((![X468:$i]:(((in @ X468 @ X464)=>![X469:$i]:(((in @ X469 @ X465)=>(((X468)=(X469))=>((X466 @ X468)<=>(X467 @ X469)))))))=>((dsetconstr @ X464 @ (^[Z0/* 3 */:$i]:((X466 @ Z0))))=(dsetconstr @ X465 @ (^[Z0/* 3 */:$i]:((X467 @ Z0)))))))))=>(![X426:$i, X427:$i]:((![X428:$i]:(((in @ X428 @ X426)=>(in @ X428 @ X427)))=>(subset @ X426 @ X427)))=>(![X462:$i, X463:$i]:((((X462)=(X463))=>(subset @ X463 @ X462)))=>(![X429:$i, X430:$i]:((((X429)=(X430))=>(subset @ X429 @ X430)))=>(![X431:$i, X432:$i]:((![X433:$i]:(((in @ X433 @ X431)=>(in @ X433 @ X432)))=>(subset @ X431 @ X432)))=>(![X434:$i]:((subset @ emptyset @ X434))=>(![X435:$i, X436:$i, X437:$i]:(((subset @ X435 @ X436)=>((in @ X437 @ X435)=>(in @ X437 @ X436))))=>(![X459:$i, X460:$i, X461:$i]:(((subset @ X459 @ X460)=>(~(in @ X461 @ X460)=>~(in @ X461 @ X459))))=>(![X438:$i, X439:$i, X440:$i]:(((in @ X440 @ X438)=>(~(in @ X440 @ X439)=>~(subset @ X438 @ X439))))=>(![X441:$i, X442:$i]:((~(subset @ X441 @ X442)=>((X441)!=(X442))))=>(![X456:$i, X457:$i, X458:$i]:(((in @ X458 @ X456)=>(~(in @ X458 @ X457)=>((X456)!=(X457)))))=>(![X455:$i]:((subset @ X455 @ X455))=>(![X452:$i, X453:$i, X454:$i]:(((subset @ X452 @ X453)=>((subset @ X453 @ X454)=>(subset @ X452 @ X454))))=>(![X450:$i, X451:$i]:((subset @ X451 @ (setadjoin @ X450 @ X451)))=>(![X447:$i, X448:$i, X449:$i]:(((subset @ X447 @ X449)=>(subset @ X447 @ (setadjoin @ X448 @ X449))))=>(![X443:$i, X444:$i]:(((subset @ X443 @ X444)=>(in @ X443 @ (powerset @ X444))))=>(![X445:$i, X446:$i]:(((subset @ X445 @ X446)=>((subset @ X446 @ X445)=>((X445)=(X446)))))=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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(assume_negation,[status(cth)],[subsetemptysetimpeq]), emptyinPowerset]), setextAx]), setadjoinIR]), powersetI]), emptyinunitempty]), c_0_108]), setunionE]), c_0_109]), setext]), c_0_110]), subPowSU]), emptysetimpfalse]), prop2setE]), uniqinunit]), c_0_111]), c_0_112]), foundationAx]), eqinunit]), omegaSAx]), omega0Ax]), upairsetIR]), powersetAx]), emptysetAx]), c_0_113]), quantDeMorgan1]), notsubsetI]), emptyInPowerset]), quantDeMorgan3]), prop2setI]), notdexE]), c_0_114]), c_0_115]), c_0_116]), c_0_117]), emptyset__Cong]), setadjoin__Cong]), subsetI1]), eqimpsubset1]), subsetI2]), emptysetsubset]), subsetE]), notequalI1]), subset2powerset]), setextsub]), setadjoinSub2]), setadjoinSub]), subsetTrans]), subsetRefl]), notequalI2]), powersetE]), subsetE2]), eqimpsubset2]), c_0_118]), c_0_119]), c_0_120]), omega__Cong]), setunion__Cong]), powerset__Cong]), c_0_121]), in__Cong]), inCongP]), notdallE]), quantDeMorgan4]), quantDeMorgan2]), vacuousDall]), upairsetIL]), upairsetE]), singletonsswitch]), notinsingleton]), c_0_122]), c_0_123]), c_0_124]), setadjoinOr]), setunionI]), setadjoinE]), setadjoinIL]), c_0_125]), c_0_126]), noeltsimpempty]), emptyI]), notinemptyset]), emptysetE]), c_0_127]), c_0_128]), c_0_129]), wellorderingAx]), c_0_130]), omegaIndAx]), setunionAx]), setadjoinAx])]), c_0_131])).
0.39/0.55	thf(c_0_133, negated_conjecture, ![X574:$i, X575:$i, X577:$i, X578:$i, X579:$i, X580:$i, X581:$i, X582:$i, X583:$i, X584:$i, X585:$i, X587:$i, X588:$i, X590:$i, X591:$i, X592:$i, X593:$i, X594:$i, X596:$i, X597:$i > $i > $o, X598:$i, X600:$i, X603:$i, X605:$i, X606:$i, X607:$i, X608:$i, X610:$i, X611:$i > $o, X612:$i, X614:$i, X615:$i > $o, X616:$i, X617:$i, X618:$i > $o, X619:$i, X620:$i, X621:$i > $o, X622:$i, X623:$i > $o, X624:$i, X627:$i, X628:$o, X629:$i, X630:$i, X631:$o, X632:$i, X633:$i, X634:$i > $o, X635:$i, X638:$i, X639:$i, X642:$i, X644:$i, X646:$i, X647:$i > $o, X648:$i, X649:$i, X651:$i, X652:$i > $o, X653:$i, X654:$i, X655:$i, X656:$i, X657:$i, X658:$i, X659:$i, X660:$i, X661:$i, X662:$i, X663:$i, X664:$o, X665:$i, X666:$i, X667:$i, X668:$i, X669:$i, X670:$i, X672:$i, X673:$i, X674:$i, X675:$i, X676:$i, X677:$i, X678:$i, X679:$i, X680:$i, X681:$i, X682:$o, X684:$i, X685:$i, X686:$i > $o, X687:$i, X690:$i, X691:$i, X692:$i, X694:$i, X695:$i, X696:$i, X697:$i, X698:$i, X699:$i, X700:$i, X701:$i, X702:$i, X703:$i, X704:$i, X705:$i, X706:$i, X707:$i, X708:$i, X709:$i, X710:$i > $o, X711:$i, X712:$i > $o, X713:$i, X714:$i, X715:$i > $o, X716:$i, X718:$i, X719:$i > $o, X721:$i, X722:$i, X723:$i > $o, X725:$i, X726:$i, X727:$i > $o, X728:$i, X730:$o, X731:$i, X732:$i > $o, X734:$i, X735:$i, X736:$i > $o, X737:$i, X739:$i > $o, X740:$i, X743:$i, X744:$i > $o, X745:$i, X749:$i, X750:$i > $o, X751:$i, X754:$i, X755:$i, X756:$i, X757:$i, X758:$i, X759:$i, X760:$i, X761:$i, X762:$i, X763:$i > $o, X764:$i, X766:$i, X767:$i, X768:$i > $o, X769:$i > $o, X772:$i, X775:$i, X776:$i, X779:$i, X780:$i, X781:$i, X782:$i, X783:$i, X784:$i, X785:$i, X786:$i, X787:$i, X788:$i > $o, X789:$i, X791:$i, X792:$i, X793:$i > $o, X794:$i > $o, X797:$i, X799:$i, X801:$i, X802:$i, X803:$i > $o, X804:$i > $o, X807:$i, X808:$i, X810:$i, X811:$i, X812:$i, X813:$i, X814:$i, X815:$i, X817:$i, X818:$i, X819:$i, X820:$i, X821:$i, X822:$i, X823:$i, X824:$i, X825:$i, X826:$i, X827:$i, X828:$i, X829:$i, X830:$i, X831:$i, X832:$i, X833:$i, X834:$i, X835:$i, X836:$i, X837:$i, X838:$i, X839:$i, X840:$i, X841:$i, X842:$i, X843:$i, X844:$i]:((((~(in @ (esk1_2 @ X574 @ X575) @ X574)|~(in @ (esk1_2 @ X574 @ X575) @ X575)|((X574)=(X575)))&((in @ (esk1_2 @ X574 @ X575) @ X574)|(in @ (esk1_2 @ X574 @ X575) @ X575)|((X574)=(X575))))&(~(in @ X577 @ emptyset)&(((~(in @ X580 @ (setadjoin @ X578 @ X579))|(((X580)=(X578))|(in @ X580 @ X579)))&((((X580)!=(X578))|(in @ X580 @ (setadjoin @ X578 @ X579)))&(~(in @ X580 @ X579)|(in @ X580 @ (setadjoin @ X578 @ X579)))))&(((~(in @ X582 @ (powerset @ X581))|(~(in @ X583 @ X582)|(in @ X583 @ X581)))&(((in @ (esk2_2 @ X584 @ X585) @ X585)|(in @ X585 @ (powerset @ X584)))&(~(in @ (esk2_2 @ X584 @ X585) @ X584)|(in @ X585 @ (powerset @ X584)))))&(((((in @ X588 @ (esk3_2 @ X587 @ X588))|~(in @ X588 @ (setunion @ X587)))&((in @ (esk3_2 @ X587 @ X588) @ X587)|~(in @ X588 @ (setunion @ X587))))&(~(in @ X591 @ X592)|~(in @ X592 @ X590)|(in @ X591 @ (setunion @ X590))))&((in @ emptyset @ omega)&((~(in @ X593 @ omega)|(in @ (setadjoin @ X593 @ X593) @ omega))&(((((in @ (esk4_1 @ X594) @ omega)|~(in @ emptyset @ X594)|(~(in @ X596 @ omega)|(in @ X596 @ X594)))&((in @ (esk4_1 @ X594) @ X594)|~(in @ emptyset @ X594)|(~(in @ X596 @ omega)|(in @ X596 @ X594))))&(~(in @ (setadjoin @ (esk4_1 @ X594) @ (esk4_1 @ X594)) @ X594)|~(in @ emptyset @ X594)|(~(in @ X596 @ omega)|(in @ X596 @ X594))))&((((((in @ (esk8_3 @ X597 @ X598 @ X603) @ X598)|~(in @ X603 @ (esk7_2 @ X597 @ X598))|(in @ (esk5_2 @ X597 @ X598) @ X598))&((X597 @ (esk8_3 @ X597 @ X598 @ X603) @ X603)|~(in @ X603 @ (esk7_2 @ X597 @ X598))|(in @ (esk5_2 @ X597 @ X598) @ X598)))&(~(in @ X606 @ X598)|~(X597 @ X606 @ X605)|(in @ X605 @ (esk7_2 @ X597 @ X598))|(in @ (esk5_2 @ X597 @ X598) @ X598)))&(((((in @ (esk8_3 @ X597 @ X598 @ X603) @ X598)|~(in @ X603 @ (esk7_2 @ X597 @ X598))|((X597 @ (esk5_2 @ X597 @ X598) @ (esk6_3 @ X597 @ X598 @ X600))|~(X597 @ (esk5_2 @ X597 @ X598) @ X600)))&((X597 @ (esk8_3 @ X597 @ X598 @ X603) @ X603)|~(in @ X603 @ (esk7_2 @ X597 @ X598))|((X597 @ (esk5_2 @ X597 @ X598) @ (esk6_3 @ X597 @ X598 @ X600))|~(X597 @ (esk5_2 @ X597 @ X598) @ X600))))&(~(in @ X606 @ X598)|~(X597 @ X606 @ X605)|(in @ X605 @ (esk7_2 @ X597 @ X598))|((X597 @ (esk5_2 @ X597 @ X598) @ (esk6_3 @ X597 @ X598 @ X600))|~(X597 @ (esk5_2 @ X597 @ X598) @ X600))))&((((in @ (esk8_3 @ X597 @ X598 @ X603) @ X598)|~(in @ X603 @ (esk7_2 @ X597 @ X598))|(((X600)!=(esk6_3 @ X597 @ X598 @ X600))|~(X597 @ (esk5_2 @ X597 @ X598) @ X600)))&((X597 @ (esk8_3 @ X597 @ X598 @ X603) @ X603)|~(in @ X603 @ (esk7_2 @ X597 @ X598))|(((X600)!=(esk6_3 @ X597 @ X598 @ X600))|~(X597 @ (esk5_2 @ X597 @ X598) @ X600))))&(~(in @ X606 @ X598)|~(X597 @ X606 @ X605)|(in @ X605 @ (esk7_2 @ X597 @ X598))|(((X600)!=(esk6_3 @ X597 @ X598 @ X600))|~(X597 @ (esk5_2 @ X597 @ X598) @ X600))))))&((((in @ (esk9_1 @ X607) @ X607)|~(in @ X608 @ X607))&(~(in @ X610 @ (esk9_1 @ X607))|~(in @ X610 @ X607)|~(in @ X608 @ X607)))&((epred1_0)&((((X611 @ (esk10_2 @ X611 @ X612))|~(X611 @ X612)|(X611 @ (descr @ (^[Z0/* 3 */:$i]:((X611 @ Z0))))))&(((X612)!=(esk10_2 @ X611 @ X612))|~(X611 @ X612)|(X611 @ (descr @ (^[Z0/* 3 */:$i]:((X611 @ Z0)))))))&((~(in @ X616 @ X614)|(~(X615 @ X616)|(in @ X616 @ (dsetconstr @ X614 @ (^[Z0/* 3 */:$i]:((X615 @ Z0)))))))&((~(in @ X619 @ (dsetconstr @ X617 @ (^[Z0/* 3 */:$i]:((X618 @ Z0)))))|(in @ X619 @ X617))&((~(in @ X622 @ (dsetconstr @ X620 @ (^[Z0/* 3 */:$i]:((X621 @ Z0)))))|(X621 @ X622))&(((((X623 @ (esk12_1 @ X623))|((X623 @ (esk11_2 @ X623 @ X624))|~(X623 @ X624)))&(~(X623 @ X627)|((esk12_1 @ X623)=(X627))|((X623 @ (esk11_2 @ X623 @ X624))|~(X623 @ X624))))&(((X623 @ (esk12_1 @ X623))|(((X624)!=(esk11_2 @ X623 @ X624))|~(X623 @ X624)))&(~(X623 @ X627)|((esk12_1 @ X623)=(X627))|(((X624)!=(esk11_2 @ X623 @ X624))|~(X623 @ X624)))))&((~(in @ X629 @ (prop2set @ ((X628))))|(X628))&((~(in @ X630 @ emptyset)|(X631))&(~(in @ X632 @ emptyset)&(~(in @ X633 @ emptyset)&((((X634 @ (esk13_2 @ X634 @ X635))|~(X634 @ X635)|(X634 @ (esk14_1 @ X634)))&(((X635)!=(esk13_2 @ X634 @ X635))|~(X634 @ X635)|(X634 @ (esk14_1 @ X634))))&(((((in @ (esk16_2 @ X638 @ X639) @ X639)|((X638)=(X639))|(in @ (esk15_2 @ X638 @ X639) @ X638))&(~(in @ (esk16_2 @ X638 @ X639) @ X638)|((X638)=(X639))|(in @ (esk15_2 @ X638 @ X639) @ X638)))&(((in @ (esk16_2 @ X638 @ X639) @ X639)|((X638)=(X639))|~(in @ (esk15_2 @ X638 @ X639) @ X639))&(~(in @ (esk16_2 @ X638 @ X639) @ X638)|((X638)=(X639))|~(in @ (esk15_2 @ X638 @ X639) @ X639))))&(((in @ (esk17_1 @ X642) @ X642)|((X642)=(emptyset)))&(((in @ (esk18_1 @ X644) @ X644)|((X644)=(emptyset)))&(((~(in @ X648 @ (dsetconstr @ X646 @ (^[Z0/* 3 */:$i]:((X647 @ Z0)))))|(X647 @ X648)|~(in @ X648 @ X646))&(~(X647 @ X648)|(in @ X648 @ (dsetconstr @ X646 @ (^[Z0/* 3 */:$i]:((X647 @ Z0)))))|~(in @ X648 @ X646)))&((((X649)=(emptyset))|(in @ (esk19_1 @ X649) @ X649))&((~(in @ X653 @ X651)|(~(X652 @ X653)|((dsetconstr @ X651 @ (^[Z0/* 3 */:$i]:((X652 @ Z0))))!=(emptyset))))&((~(in @ X655 @ X654)|((X654)!=(emptyset)))&((in @ X656 @ (setadjoin @ X656 @ X657))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X660 @ X659)|(in @ X660 @ (setadjoin @ X658 @ X659)))&(((((in @ X663 @ X662)|(X664)|((X663)=(X661))|~(in @ X663 @ (setadjoin @ X661 @ X662)))&(~(X664)|(X664)|((X663)=(X661))|~(in @ X663 @ (setadjoin @ X661 @ X662))))&(((in @ X663 @ X662)|(X664)|~(X664)|~(in @ X663 @ (setadjoin @ X661 @ X662)))&(~(X664)|(X664)|~(X664)|~(in @ X663 @ (setadjoin @ X661 @ X662)))))&((~(in @ X667 @ (setadjoin @ X665 @ X666))|(((X667)=(X665))|(in @ X667 @ X666)))&(((dsetconstr @ X668 @ (^[Z0/* 3 */:$i]:(($true))))=(X668))&((((in @ (esk20_2 @ X669 @ X670) @ X670)|(in @ X670 @ (powerset @ X669)))&(~(in @ (esk20_2 @ X669 @ X670) @ X669)|(in @ X670 @ (powerset @ X669))))&((in @ emptyset @ (powerset @ X672))&((in @ emptyset @ (powerset @ X673))&((~(in @ X675 @ (powerset @ X674))|(~(in @ X676 @ X675)|(in @ X676 @ X674)))&((~(in @ X678 @ X679)|(~(in @ X679 @ X677)|(in @ X678 @ (setunion @ X677))))&((((in @ X681 @ (esk21_3 @ X680 @ X681 @ X682))|(X682)|~(in @ X681 @ (setunion @ X680)))&(((in @ (esk21_3 @ X680 @ X681 @ X682) @ X680)|(X682)|~(in @ X681 @ (setunion @ X680)))&(~(X682)|(X682)|~(in @ X681 @ (setunion @ X680)))))&((~(in @ X685 @ X684)|(in @ X685 @ (powerset @ (setunion @ X684))))&((((~(X686 @ X690)|((X690)=(esk23_1 @ X686))|((X686 @ (esk22_2 @ X686 @ X687))|~(X686 @ X687)))&(((X691)!=(esk23_1 @ X686))|(X686 @ X691)|((X686 @ (esk22_2 @ X686 @ X687))|~(X686 @ X687))))&((~(X686 @ X690)|((X690)=(esk23_1 @ X686))|(((X687)!=(esk22_2 @ X686 @ X687))|~(X686 @ X687)))&(((X691)!=(esk23_1 @ X686))|(X686 @ X691)|(((X687)!=(esk22_2 @ X686 @ X687))|~(X686 @ X687)))))&((((X692)=(emptyset))|(in @ (esk24_1 @ X692) @ X692))&((~(in @ X694 @ (setadjoin @ X695 @ emptyset))|((X694)=(X695)))&((((X696)=(X697))|~(in @ X697 @ (setadjoin @ X696 @ emptyset)))&((((X698)!=(X699))|(in @ X698 @ (setadjoin @ X699 @ emptyset)))&((~(in @ X700 @ (setadjoin @ X701 @ emptyset))|(in @ X701 @ (setadjoin @ X700 @ emptyset)))&((~(in @ X704 @ (setadjoin @ X702 @ (setadjoin @ X703 @ emptyset)))|(((X704)=(X702))|((X704)=(X703))))&((in @ X705 @ (setadjoin @ X705 @ (setadjoin @ X706 @ emptyset)))&((in @ X708 @ (setadjoin @ X707 @ (setadjoin @ X708 @ emptyset)))&((~(in @ X711 @ X709)|~(X710 @ X711)|((dsetconstr @ X709 @ (^[Z0/* 3 */:$i]:((X710 @ Z0))))!=(emptyset)))&((~(in @ X713 @ emptyset)|(X712 @ X713))&((((in @ (esk25_2 @ X714 @ X715) @ X714)|(~(in @ X716 @ X714)|(X715 @ X716)))&(~(X715 @ (esk25_2 @ X714 @ X715))|(~(in @ X716 @ X714)|(X715 @ X716))))&((((in @ (esk26_2 @ X718 @ X719) @ X718)|(~(in @ X721 @ X718)|~(X719 @ X721)))&((X719 @ (esk26_2 @ X718 @ X719))|(~(in @ X721 @ X718)|~(X719 @ X721))))&((((in @ (esk27_2 @ X722 @ X723) @ X722)|(~(in @ X725 @ X722)|~(X723 @ X725)))&((X723 @ (esk27_2 @ X722 @ X723))|(~(in @ X725 @ X722)|~(X723 @ X725))))&((((in @ (esk28_2 @ X726 @ X727) @ X726)|(~(in @ X728 @ X726)|(X727 @ X728)))&(~(X727 @ (esk28_2 @ X726 @ X727))|(~(in @ X728 @ X726)|(X727 @ X728))))&((~(X730)|(in @ emptyset @ (prop2set @ ((X730)))))&((prop2set2propI)&((((in @ (esk29_2 @ X731 @ X732) @ X731)|(~(in @ X734 @ X731)|~(X732 @ X734)))&((X732 @ (esk29_2 @ X731 @ X732))|(~(in @ X734 @ X731)|~(X732 @ X734))))&((((in @ (esk30_2 @ X735 @ X736) @ X735)|(~(in @ X737 @ X735)|(X736 @ X737)))&(~(X736 @ (esk30_2 @ X735 @ X736))|(~(in @ X737 @ X735)|(X736 @ X737))))&(((((X739 @ (esk32_1 @ X739))|((X739 @ (esk31_2 @ X739 @ X740))|~(X739 @ X740)))&(~(X739 @ X743)|((esk32_1 @ X739)=(X743))|((X739 @ (esk31_2 @ X739 @ X740))|~(X739 @ X740))))&(((X739 @ (esk32_1 @ X739))|(((X740)!=(esk31_2 @ X739 @ X740))|~(X739 @ X740)))&(~(X739 @ X743)|((esk32_1 @ X739)=(X743))|(((X740)!=(esk31_2 @ X739 @ X740))|~(X739 @ X740)))))&(((((X744 @ (esk35_1 @ X744))|(X744 @ (esk33_1 @ X744))|~(X744 @ X745))&(~(X744 @ X749)|((esk35_1 @ X744)=(X749))|(X744 @ (esk33_1 @ X744))|~(X744 @ X745)))&((((X744 @ (esk35_1 @ X744))|(X744 @ (esk34_1 @ X744))|~(X744 @ X745))&(~(X744 @ X749)|((esk35_1 @ X744)=(X749))|(X744 @ (esk34_1 @ X744))|~(X744 @ X745)))&(((X744 @ (esk35_1 @ X744))|((esk33_1 @ X744)!=(esk34_1 @ X744))|~(X744 @ X745))&(~(X744 @ X749)|((esk35_1 @ X744)=(X749))|((esk33_1 @ X744)!=(esk34_1 @ X744))|~(X744 @ X745)))))&(((((X750 @ (esk37_1 @ X750))|(~(X750 @ (esk36_2 @ X750 @ X751))|((esk36_2 @ X750 @ X751)!=(X751))))&(~(X750 @ X754)|((esk37_1 @ X750)=(X754))|(~(X750 @ (esk36_2 @ X750 @ X751))|((esk36_2 @ X750 @ X751)!=(X751)))))&(((X750 @ (esk37_1 @ X750))|((X750 @ (esk36_2 @ X750 @ X751))|((esk36_2 @ X750 @ X751)=(X751))))&(~(X750 @ X754)|((esk37_1 @ X750)=(X754))|((X750 @ (esk36_2 @ X750 @ X751))|((esk36_2 @ X750 @ X751)=(X751))))))&((((X755)!=(X756))|(((X757)!=(X758))|(~(in @ X757 @ X755)|(in @ X758 @ X756))))&(((~(in @ X761 @ X759)|(in @ X762 @ X760)|((X761)!=(X762))|((X759)!=(X760)))&(~(in @ X762 @ X760)|(in @ X761 @ X759)|((X761)!=(X762))|((X759)!=(X760))))&((((X763 @ (esk38_2 @ X763 @ X764))|~(X763 @ X764)|(~(X763 @ X766)|(~(X763 @ X767)|((X766)=(X767)))))&(((X764)!=(esk38_2 @ X763 @ X764))|~(X763 @ X764)|(~(X763 @ X766)|(~(X763 @ X767)|((X766)=(X767))))))&(((((((X769 @ (esk42_2 @ X768 @ X769))|((X768 @ (esk41_3 @ X768 @ X769 @ X772))|~(X768 @ X772))|((esk39_2 @ X768 @ X769)=(esk40_2 @ X768 @ X769)))&(~(X769 @ X775)|((esk42_2 @ X768 @ X769)=(X775))|((X768 @ (esk41_3 @ X768 @ X769 @ X772))|~(X768 @ X772))|((esk39_2 @ X768 @ X769)=(esk40_2 @ X768 @ X769))))&(((X769 @ (esk42_2 @ X768 @ X769))|(((X772)!=(esk41_3 @ X768 @ X769 @ X772))|~(X768 @ X772))|((esk39_2 @ X768 @ X769)=(esk40_2 @ X768 @ X769)))&(~(X769 @ X775)|((esk42_2 @ X768 @ X769)=(X775))|(((X772)!=(esk41_3 @ X768 @ X769 @ X772))|~(X768 @ X772))|((esk39_2 @ X768 @ X769)=(esk40_2 @ X768 @ X769)))))&((((X768 @ (esk44_2 @ X768 @ X769))|((X769 @ (esk43_3 @ X768 @ X769 @ X776))|~(X769 @ X776))|((esk39_2 @ X768 @ X769)=(esk40_2 @ X768 @ X769)))&(~(X768 @ X779)|((esk44_2 @ X768 @ X769)=(X779))|((X769 @ (esk43_3 @ X768 @ X769 @ X776))|~(X769 @ X776))|((esk39_2 @ X768 @ X769)=(esk40_2 @ X768 @ X769))))&(((X768 @ (esk44_2 @ X768 @ X769))|(((X776)!=(esk43_3 @ X768 @ X769 @ X776))|~(X769 @ X776))|((esk39_2 @ X768 @ X769)=(esk40_2 @ X768 @ X769)))&(~(X768 @ X779)|((esk44_2 @ X768 @ X769)=(X779))|(((X776)!=(esk43_3 @ X768 @ X769 @ X776))|~(X769 @ X776))|((esk39_2 @ X768 @ X769)=(esk40_2 @ X768 @ X769))))))&((((((X769 @ (esk42_2 @ X768 @ X769))|((X768 @ (esk41_3 @ X768 @ X769 @ X772))|~(X768 @ X772))|(~(X768 @ (esk39_2 @ X768 @ X769))|~(X769 @ (esk40_2 @ X768 @ X769))))&(~(X769 @ X775)|((esk42_2 @ X768 @ X769)=(X775))|((X768 @ (esk41_3 @ X768 @ X769 @ X772))|~(X768 @ X772))|(~(X768 @ (esk39_2 @ X768 @ X769))|~(X769 @ (esk40_2 @ X768 @ X769)))))&(((X769 @ (esk42_2 @ X768 @ X769))|(((X772)!=(esk41_3 @ X768 @ X769 @ X772))|~(X768 @ X772))|(~(X768 @ (esk39_2 @ X768 @ X769))|~(X769 @ (esk40_2 @ X768 @ X769))))&(~(X769 @ X775)|((esk42_2 @ X768 @ X769)=(X775))|(((X772)!=(esk41_3 @ X768 @ X769 @ X772))|~(X768 @ X772))|(~(X768 @ (esk39_2 @ X768 @ X769))|~(X769 @ (esk40_2 @ X768 @ X769))))))&((((X768 @ (esk44_2 @ X768 @ X769))|((X769 @ (esk43_3 @ X768 @ X769 @ X776))|~(X769 @ X776))|(~(X768 @ (esk39_2 @ X768 @ X769))|~(X769 @ (esk40_2 @ X768 @ X769))))&(~(X768 @ X779)|((esk44_2 @ X768 @ X769)=(X779))|((X769 @ (esk43_3 @ X768 @ X769 @ X776))|~(X769 @ X776))|(~(X768 @ (esk39_2 @ X768 @ X769))|~(X769 @ (esk40_2 @ X768 @ X769)))))&(((X768 @ (esk44_2 @ X768 @ X769))|(((X776)!=(esk43_3 @ X768 @ X769 @ X776))|~(X769 @ X776))|(~(X768 @ (esk39_2 @ X768 @ X769))|~(X769 @ (esk40_2 @ X768 @ X769))))&(~(X768 @ X779)|((esk44_2 @ X768 @ X769)=(X779))|(((X776)!=(esk43_3 @ X768 @ X769 @ X776))|~(X769 @ X776))|(~(X768 @ (esk39_2 @ X768 @ X769))|~(X769 @ (esk40_2 @ X768 @ X769)))))))&(((((X769 @ (esk42_2 @ X768 @ X769))|((X768 @ (esk41_3 @ X768 @ X769 @ X772))|~(X768 @ X772))|((X768 @ (esk39_2 @ X768 @ X769))|(X769 @ (esk40_2 @ X768 @ X769))))&(~(X769 @ X775)|((esk42_2 @ X768 @ X769)=(X775))|((X768 @ (esk41_3 @ X768 @ X769 @ X772))|~(X768 @ X772))|((X768 @ (esk39_2 @ X768 @ X769))|(X769 @ (esk40_2 @ X768 @ X769)))))&(((X769 @ (esk42_2 @ X768 @ X769))|(((X772)!=(esk41_3 @ X768 @ X769 @ X772))|~(X768 @ X772))|((X768 @ (esk39_2 @ X768 @ X769))|(X769 @ (esk40_2 @ X768 @ X769))))&(~(X769 @ X775)|((esk42_2 @ X768 @ X769)=(X775))|(((X772)!=(esk41_3 @ X768 @ X769 @ X772))|~(X768 @ X772))|((X768 @ (esk39_2 @ X768 @ X769))|(X769 @ (esk40_2 @ X768 @ X769))))))&((((X768 @ (esk44_2 @ X768 @ X769))|((X769 @ (esk43_3 @ X768 @ X769 @ X776))|~(X769 @ X776))|((X768 @ (esk39_2 @ X768 @ X769))|(X769 @ (esk40_2 @ X768 @ X769))))&(~(X768 @ X779)|((esk44_2 @ X768 @ X769)=(X779))|((X769 @ (esk43_3 @ X768 @ X769 @ X776))|~(X769 @ X776))|((X768 @ (esk39_2 @ X768 @ X769))|(X769 @ (esk40_2 @ X768 @ X769)))))&(((X768 @ (esk44_2 @ X768 @ X769))|(((X776)!=(esk43_3 @ X768 @ X769 @ X776))|~(X769 @ X776))|((X768 @ (esk39_2 @ X768 @ X769))|(X769 @ (esk40_2 @ X768 @ X769))))&(~(X768 @ X779)|((esk44_2 @ X768 @ X769)=(X779))|(((X776)!=(esk43_3 @ X768 @ X769 @ X776))|~(X769 @ X776))|((X768 @ (esk39_2 @ X768 @ X769))|(X769 @ (esk40_2 @ X768 @ X769)))))))))&(((emptyset)=(emptyset))&((((X780)!=(X781))|(((X782)!=(X783))|((setadjoin @ X780 @ X782)=(setadjoin @ X781 @ X783))))&((((X784)!=(X785))|((powerset @ X784)=(powerset @ X785)))&((((X786)!=(X787))|((setunion @ X786)=(setunion @ X787)))&(((omega)=(omega))&((((X788 @ (esk45_2 @ X788 @ X789))|~(X788 @ X789)|(~(X788 @ X791)|(~(X788 @ X792)|((X791)=(X792)))))&(((X789)!=(esk45_2 @ X788 @ X789))|~(X788 @ X789)|(~(X788 @ X791)|(~(X788 @ X792)|((X791)=(X792))))))&((((((X794 @ (esk49_3 @ X793 @ X794 @ X799))|~(X794 @ X799)|((descr @ (^[Z0/* 3 */:$i]:((X793 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X794 @ Z0)))))|((X793 @ (esk48_3 @ X793 @ X794 @ X797))|~(X793 @ X797))|((esk46_2 @ X793 @ X794)=(esk47_2 @ X793 @ X794)))&(((X799)!=(esk49_3 @ X793 @ X794 @ X799))|~(X794 @ X799)|((descr @ (^[Z0/* 3 */:$i]:((X793 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X794 @ Z0)))))|((X793 @ (esk48_3 @ X793 @ X794 @ X797))|~(X793 @ X797))|((esk46_2 @ X793 @ X794)=(esk47_2 @ X793 @ X794))))&(((X794 @ (esk49_3 @ X793 @ X794 @ X799))|~(X794 @ X799)|((descr @ (^[Z0/* 3 */:$i]:((X793 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X794 @ Z0)))))|(((X797)!=(esk48_3 @ X793 @ X794 @ X797))|~(X793 @ X797))|((esk46_2 @ X793 @ X794)=(esk47_2 @ X793 @ X794)))&(((X799)!=(esk49_3 @ X793 @ X794 @ X799))|~(X794 @ X799)|((descr @ (^[Z0/* 3 */:$i]:((X793 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X794 @ Z0)))))|(((X797)!=(esk48_3 @ X793 @ X794 @ X797))|~(X793 @ X797))|((esk46_2 @ X793 @ X794)=(esk47_2 @ X793 @ X794)))))&(((((X794 @ (esk49_3 @ X793 @ X794 @ X799))|~(X794 @ X799)|((descr @ (^[Z0/* 3 */:$i]:((X793 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X794 @ Z0)))))|((X793 @ (esk48_3 @ X793 @ X794 @ X797))|~(X793 @ X797))|(~(X793 @ (esk46_2 @ X793 @ X794))|~(X794 @ (esk47_2 @ X793 @ X794))))&(((X799)!=(esk49_3 @ X793 @ X794 @ X799))|~(X794 @ X799)|((descr @ (^[Z0/* 3 */:$i]:((X793 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X794 @ Z0)))))|((X793 @ (esk48_3 @ X793 @ X794 @ X797))|~(X793 @ X797))|(~(X793 @ (esk46_2 @ X793 @ X794))|~(X794 @ (esk47_2 @ X793 @ X794)))))&(((X794 @ (esk49_3 @ X793 @ X794 @ X799))|~(X794 @ X799)|((descr @ (^[Z0/* 3 */:$i]:((X793 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X794 @ Z0)))))|(((X797)!=(esk48_3 @ X793 @ X794 @ X797))|~(X793 @ X797))|(~(X793 @ (esk46_2 @ X793 @ X794))|~(X794 @ (esk47_2 @ X793 @ X794))))&(((X799)!=(esk49_3 @ X793 @ X794 @ X799))|~(X794 @ X799)|((descr @ (^[Z0/* 3 */:$i]:((X793 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X794 @ Z0)))))|(((X797)!=(esk48_3 @ X793 @ X794 @ X797))|~(X793 @ X797))|(~(X793 @ (esk46_2 @ X793 @ X794))|~(X794 @ (esk47_2 @ X793 @ X794))))))&((((X794 @ (esk49_3 @ X793 @ X794 @ X799))|~(X794 @ X799)|((descr @ (^[Z0/* 3 */:$i]:((X793 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X794 @ Z0)))))|((X793 @ (esk48_3 @ X793 @ X794 @ X797))|~(X793 @ X797))|((X793 @ (esk46_2 @ X793 @ X794))|(X794 @ (esk47_2 @ X793 @ X794))))&(((X799)!=(esk49_3 @ X793 @ X794 @ X799))|~(X794 @ X799)|((descr @ (^[Z0/* 3 */:$i]:((X793 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X794 @ Z0)))))|((X793 @ (esk48_3 @ X793 @ X794 @ X797))|~(X793 @ X797))|((X793 @ (esk46_2 @ X793 @ X794))|(X794 @ (esk47_2 @ X793 @ X794)))))&(((X794 @ (esk49_3 @ X793 @ X794 @ X799))|~(X794 @ X799)|((descr @ (^[Z0/* 3 */:$i]:((X793 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X794 @ Z0)))))|(((X797)!=(esk48_3 @ X793 @ X794 @ X797))|~(X793 @ X797))|((X793 @ (esk46_2 @ X793 @ X794))|(X794 @ (esk47_2 @ X793 @ X794))))&(((X799)!=(esk49_3 @ X793 @ X794 @ X799))|~(X794 @ X799)|((descr @ (^[Z0/* 3 */:$i]:((X793 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X794 @ Z0)))))|(((X797)!=(esk48_3 @ X793 @ X794 @ X797))|~(X793 @ X797))|((X793 @ (esk46_2 @ X793 @ X794))|(X794 @ (esk47_2 @ X793 @ X794))))))))&((((in @ (esk50_4 @ X801 @ X802 @ X803 @ X804) @ X801)|((dsetconstr @ X801 @ (^[Z0/* 3 */:$i]:((X803 @ Z0))))=(dsetconstr @ X802 @ (^[Z0/* 3 */:$i]:((X804 @ Z0)))))|((X801)!=(X802)))&(((in @ (esk51_4 @ X801 @ X802 @ X803 @ X804) @ X802)|((dsetconstr @ X801 @ (^[Z0/* 3 */:$i]:((X803 @ Z0))))=(dsetconstr @ X802 @ (^[Z0/* 3 */:$i]:((X804 @ Z0)))))|((X801)!=(X802)))&((((esk50_4 @ X801 @ X802 @ X803 @ X804)=(esk51_4 @ X801 @ X802 @ X803 @ X804))|((dsetconstr @ X801 @ (^[Z0/* 3 */:$i]:((X803 @ Z0))))=(dsetconstr @ X802 @ (^[Z0/* 3 */:$i]:((X804 @ Z0)))))|((X801)!=(X802)))&((~(X803 @ (esk50_4 @ X801 @ X802 @ X803 @ X804))|~(X804 @ (esk51_4 @ X801 @ X802 @ X803 @ X804))|((dsetconstr @ X801 @ (^[Z0/* 3 */:$i]:((X803 @ Z0))))=(dsetconstr @ X802 @ (^[Z0/* 3 */:$i]:((X804 @ Z0)))))|((X801)!=(X802)))&((X803 @ (esk50_4 @ X801 @ X802 @ X803 @ X804))|(X804 @ (esk51_4 @ X801 @ X802 @ X803 @ X804))|((dsetconstr @ X801 @ (^[Z0/* 3 */:$i]:((X803 @ Z0))))=(dsetconstr @ X802 @ (^[Z0/* 3 */:$i]:((X804 @ Z0)))))|((X801)!=(X802)))))))&((((in @ (esk52_2 @ X807 @ X808) @ X807)|(subset @ X807 @ X808))&(~(in @ (esk52_2 @ X807 @ X808) @ X808)|(subset @ X807 @ X808)))&((((X810)!=(X811))|(subset @ X811 @ X810))&((((X812)!=(X813))|(subset @ X812 @ X813))&((((in @ (esk53_2 @ X814 @ X815) @ X814)|(subset @ X814 @ X815))&(~(in @ (esk53_2 @ X814 @ X815) @ X815)|(subset @ X814 @ X815)))&((subset @ emptyset @ X817)&((~(subset @ X818 @ X819)|(~(in @ X820 @ X818)|(in @ X820 @ X819)))&((~(subset @ X821 @ X822)|((in @ X823 @ X822)|~(in @ X823 @ X821)))&((~(in @ X826 @ X824)|((in @ X826 @ X825)|~(subset @ X824 @ X825)))&(((subset @ X827 @ X828)|((X827)!=(X828)))&((~(in @ X831 @ X829)|((in @ X831 @ X830)|((X829)!=(X830))))&((subset @ X832 @ X832)&((~(subset @ X833 @ X834)|(~(subset @ X834 @ X835)|(subset @ X833 @ X835)))&((subset @ X837 @ (setadjoin @ X836 @ X837))&((~(subset @ X838 @ X840)|(subset @ X838 @ (setadjoin @ X839 @ X840)))&((~(subset @ X841 @ X842)|(in @ X841 @ (powerset @ X842)))&((~(subset @ X843 @ X844)|(~(subset @ X844 @ X843)|((X843)=(X844))))&((subset @ esk54_0 @ emptyset)&((esk54_0)!=(emptyset))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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_132])])])])])])).
0.39/0.55	thf(c_0_134, negated_conjecture, ![X3:$i, X2:$i]:((((X2)=(X3))|~((subset @ X2 @ X3))|~((subset @ X3 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_133])).
0.39/0.55	thf(c_0_135, negated_conjecture, (subset @ esk54_0 @ emptyset), inference(split_conjunct,[status(thm)],[c_0_133])).
0.39/0.55	thf(c_0_136, negated_conjecture, ![X2:$i]:((subset @ emptyset @ X2)), inference(split_conjunct,[status(thm)],[c_0_133])).
0.39/0.55	thf(c_0_137, negated_conjecture, ((esk54_0)!=(emptyset)), inference(split_conjunct,[status(thm)],[c_0_133])).
0.39/0.55	thf(c_0_138, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134, c_0_135]), c_0_136])]), c_0_137]), ['proof']).
0.39/0.55	# SZS output end CNFRefutation
0.39/0.55	# Parsed axioms                        : 200
0.39/0.55	# Removed by relevancy pruning/SinE    : 107
0.39/0.55	# Initial clauses                      : 202
0.39/0.55	# Removed in clause preprocessing      : 13
0.39/0.55	# Initial clauses in saturation        : 189
0.39/0.55	# Processed clauses                    : 228
0.39/0.55	# ...of these trivial                  : 2
0.39/0.55	# ...subsumed                          : 18
0.39/0.55	# ...remaining for further processing  : 208
0.39/0.55	# Other redundant clauses eliminated   : 14
0.39/0.55	# Clauses deleted for lack of memory   : 0
0.39/0.55	# Backward-subsumed                    : 0
0.39/0.55	# Backward-rewritten                   : 3
0.39/0.55	# Generated clauses                    : 31
0.39/0.55	# ...of the previous two non-redundant : 21
0.39/0.55	# ...aggressively subsumed             : 0
0.39/0.55	# Contextual simplify-reflections      : 0
0.39/0.55	# Paramodulations                      : 15
0.39/0.55	# Factorizations                       : 0
0.39/0.55	# NegExts                              : 0
0.39/0.55	# Equation resolutions                 : 14
0.39/0.55	# Total rewrite steps                  : 24
0.39/0.55	# Propositional unsat checks           : 0
0.39/0.55	#    Propositional check models        : 0
0.39/0.55	#    Propositional check unsatisfiable : 0
0.39/0.55	#    Propositional clauses             : 0
0.39/0.55	#    Propositional clauses after purity: 0
0.39/0.55	#    Propositional unsat core size     : 0
0.39/0.55	#    Propositional preprocessing time  : 0.000
0.39/0.55	#    Propositional encoding time       : 0.000
0.39/0.55	#    Propositional solver time         : 0.000
0.39/0.55	#    Success case prop preproc time    : 0.000
0.39/0.55	#    Success case prop encoding time   : 0.000
0.39/0.55	#    Success case prop solver time     : 0.000
0.39/0.55	# Current number of processed clauses  : 27
0.39/0.55	#    Positive orientable unit clauses  : 13
0.39/0.55	#    Positive unorientable unit clauses: 0
0.39/0.55	#    Negative unit clauses             : 2
0.39/0.55	#    Non-unit-clauses                  : 12
0.39/0.55	# Current number of unprocessed clauses: 147
0.39/0.55	# ...number of literals in the above   : 553
0.39/0.55	# Current number of archived formulas  : 0
0.39/0.55	# Current number of archived clauses   : 168
0.39/0.55	# Clause-clause subsumption calls (NU) : 4986
0.39/0.55	# Rec. Clause-clause subsumption calls : 1108
0.39/0.55	# Non-unit clause-clause subsumptions  : 14
0.39/0.55	# Unit Clause-clause subsumption calls : 8
0.39/0.55	# Rewrite failures with RHS unbound    : 0
0.39/0.55	# BW rewrite match attempts            : 10
0.39/0.55	# BW rewrite match successes           : 3
0.39/0.55	# Condensation attempts                : 228
0.39/0.55	# Condensation successes               : 3
0.39/0.55	# Termbank termtop insertions          : 30156
0.39/0.55	
0.39/0.55	# -------------------------------------------------
0.39/0.55	# User time                : 0.043 s
0.39/0.55	# System time              : 0.007 s
0.39/0.55	# Total time               : 0.050 s
0.39/0.55	# Maximum resident set size: 4480 pages
0.63/180.03	
0.63/180.03	# -------------------------------------------------
0.63/180.03	# User time                : 0.049 s
0.63/180.03	# System time              : 0.009 s
0.63/180.03	# Total time               : 0.058 s
0.63/180.03	# Maximum resident set size: 1928 pages
0.63/180.03	% E---3.1 exiting
0.63/180.03	EOF