0.02/0.09	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.02/0.09	% Command    : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM
0.09/0.28	% Computer : n031.cluster.edu
0.09/0.28	% Model    : x86_64 x86_64
0.09/0.28	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.09/0.28	% Memory   : 8042.1875MB
0.09/0.28	% OS       : Linux 3.10.0-693.el7.x86_64
0.09/0.28	% CPULimit   : 1920
0.09/0.28	% WCLimit    : 240
0.09/0.28	% DateTime   : Wed Jul 30 02:14:19 EDT 2025
0.09/0.28	% CPUTime    : 
0.14/0.39	Running higher-order theorem proving
0.14/0.40	Running: /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=240 /export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p
0.31/240.05	# Version: 3.0.0-ho
0.31/240.05	# Preprocessing class: HSMSSLSSLLLCHFA.
0.31/240.05	# Scheduled 4 strats onto 8 cores with 240 seconds (1920 total)
0.31/240.05	# Starting new_ho_10 with 1200s (5) cores
0.31/240.05	# Starting sh5l with 240s (1) cores
0.31/240.05	# Starting new_bool_1 with 240s (1) cores
0.31/240.05	# Starting new_bool_2 with 240s (1) cores
0.31/240.05	# new_bool_2 with pid 18019 completed with status 0
0.31/240.05	# Result found by new_bool_2
0.31/240.05	# Preprocessing class: HSMSSLSSLLLCHFA.
0.31/240.05	# Scheduled 4 strats onto 8 cores with 240 seconds (1920 total)
0.31/240.05	# Starting new_ho_10 with 1200s (5) cores
0.31/240.05	# Starting sh5l with 240s (1) cores
0.31/240.05	# Starting new_bool_1 with 240s (1) cores
0.31/240.05	# Starting new_bool_2 with 240s (1) cores
0.31/240.05	# SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
0.31/240.05	# Search class: HGHSM-FSLM31-SHFMMMBN
0.31/240.05	# Scheduled 6 strats onto 1 cores with 240 seconds (240 total)
0.31/240.05	# Starting ho_unfolding_3 with 130s (1) cores
0.31/240.05	# ho_unfolding_3 with pid 18020 completed with status 0
0.31/240.05	# Result found by ho_unfolding_3
0.31/240.05	# Preprocessing class: HSMSSLSSLLLCHFA.
0.31/240.05	# Scheduled 4 strats onto 8 cores with 240 seconds (1920 total)
0.31/240.05	# Starting new_ho_10 with 1200s (5) cores
0.31/240.05	# Starting sh5l with 240s (1) cores
0.31/240.05	# Starting new_bool_1 with 240s (1) cores
0.31/240.05	# Starting new_bool_2 with 240s (1) cores
0.31/240.05	# SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
0.31/240.05	# Search class: HGHSM-FSLM31-SHFMMMBN
0.31/240.05	# Scheduled 6 strats onto 1 cores with 240 seconds (240 total)
0.31/240.05	# Starting ho_unfolding_3 with 130s (1) cores
0.31/240.05	# Preprocessing time       : 0.004 s
0.31/240.05	# Presaturation interreduction done
0.31/240.05	
0.31/240.05	# Proof found!
0.31/240.05	# SZS status Theorem
0.31/240.05	# SZS output start CNFRefutation
0.31/240.05	thf(decl_23, type, in: $i > $i > $o).
0.31/240.05	thf(decl_24, type, exu: ($i > $o) > $o).
0.31/240.05	thf(decl_25, type, setextAx: $o).
0.31/240.05	thf(decl_26, type, emptyset: $i).
0.31/240.05	thf(decl_27, type, emptysetAx: $o).
0.31/240.05	thf(decl_28, type, setadjoin: $i > $i > $i).
0.31/240.05	thf(decl_29, type, setadjoinAx: $o).
0.31/240.05	thf(decl_30, type, powerset: $i > $i).
0.31/240.05	thf(decl_31, type, powersetAx: $o).
0.31/240.05	thf(decl_32, type, setunion: $i > $i).
0.31/240.05	thf(decl_33, type, setunionAx: $o).
0.31/240.05	thf(decl_34, type, omega: $i).
0.31/240.05	thf(decl_35, type, omega0Ax: $o).
0.31/240.05	thf(decl_36, type, omegaSAx: $o).
0.31/240.05	thf(decl_37, type, omegaIndAx: $o).
0.31/240.05	thf(decl_38, type, replAx: $o).
0.31/240.05	thf(decl_39, type, foundationAx: $o).
0.31/240.05	thf(decl_40, type, wellorderingAx: $o).
0.31/240.05	thf(decl_41, type, descr: ($i > $o) > $i).
0.31/240.05	thf(decl_42, type, descrp: $o).
0.31/240.05	thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
0.31/240.05	thf(decl_44, type, dsetconstrI: $o).
0.31/240.05	thf(decl_45, type, dsetconstrEL: $o).
0.31/240.05	thf(decl_46, type, dsetconstrER: $o).
0.31/240.05	thf(decl_47, type, exuE1: $o).
0.31/240.05	thf(decl_48, type, prop2set: $o > $i).
0.31/240.05	thf(decl_49, type, prop2setE: $o).
0.31/240.05	thf(decl_50, type, emptysetE: $o).
0.31/240.05	thf(decl_51, type, emptysetimpfalse: $o).
0.31/240.05	thf(decl_52, type, notinemptyset: $o).
0.31/240.05	thf(decl_53, type, exuE3e: $o).
0.31/240.05	thf(decl_54, type, setext: $o).
0.31/240.05	thf(decl_55, type, emptyI: $o).
0.31/240.05	thf(decl_56, type, noeltsimpempty: $o).
0.31/240.05	thf(decl_57, type, setbeta: $o).
0.31/240.05	thf(decl_58, type, nonempty: $i > $o).
0.31/240.05	thf(decl_59, type, nonemptyE1: $o).
0.31/240.05	thf(decl_60, type, nonemptyI: $o).
0.31/240.05	thf(decl_61, type, nonemptyI1: $o).
0.31/240.05	thf(decl_62, type, setadjoinIL: $o).
0.31/240.05	thf(decl_63, type, emptyinunitempty: $o).
0.31/240.05	thf(decl_64, type, setadjoinIR: $o).
0.31/240.05	thf(decl_65, type, setadjoinE: $o).
0.31/240.05	thf(decl_66, type, setadjoinOr: $o).
0.31/240.05	thf(decl_67, type, setoftrueEq: $o).
0.31/240.05	thf(decl_68, type, powersetI: $o).
0.31/240.05	thf(decl_69, type, emptyinPowerset: $o).
0.31/240.05	thf(decl_70, type, emptyInPowerset: $o).
0.31/240.05	thf(decl_71, type, powersetE: $o).
0.31/240.05	thf(decl_72, type, setunionI: $o).
0.31/240.05	thf(decl_73, type, setunionE: $o).
0.31/240.05	thf(decl_74, type, subPowSU: $o).
0.31/240.05	thf(decl_75, type, exuE2: $o).
0.31/240.05	thf(decl_76, type, nonemptyImpWitness: $o).
0.31/240.05	thf(decl_77, type, uniqinunit: $o).
0.31/240.05	thf(decl_78, type, notinsingleton: $o).
0.31/240.05	thf(decl_79, type, eqinunit: $o).
0.31/240.05	thf(decl_80, type, singletonsswitch: $o).
0.31/240.05	thf(decl_81, type, upairsetE: $o).
0.31/240.05	thf(decl_82, type, upairsetIL: $o).
0.31/240.05	thf(decl_83, type, upairsetIR: $o).
0.31/240.05	thf(decl_84, type, emptyE1: $o).
0.31/240.05	thf(decl_85, type, vacuousDall: $o).
0.31/240.05	thf(decl_86, type, quantDeMorgan1: $o).
0.31/240.05	thf(decl_87, type, quantDeMorgan2: $o).
0.31/240.05	thf(decl_88, type, quantDeMorgan3: $o).
0.31/240.05	thf(decl_89, type, quantDeMorgan4: $o).
0.31/240.05	thf(decl_90, type, prop2setI: $o).
0.31/240.05	thf(decl_92, type, prop2set2propI: $o).
0.31/240.05	thf(decl_93, type, notdexE: $o).
0.31/240.05	thf(decl_94, type, notdallE: $o).
0.31/240.05	thf(decl_95, type, exuI1: $o).
0.31/240.05	thf(decl_96, type, exuI3: $o).
0.31/240.05	thf(decl_97, type, exuI2: $o).
0.31/240.05	thf(decl_98, type, inCongP: $o).
0.31/240.05	thf(decl_99, type, in__Cong: $o).
0.31/240.05	thf(decl_100, type, exuE3u: $o).
0.31/240.05	thf(decl_101, type, exu__Cong: $o).
0.31/240.05	thf(decl_102, type, emptyset__Cong: $o).
0.31/240.05	thf(decl_103, type, setadjoin__Cong: $o).
0.31/240.05	thf(decl_104, type, powerset__Cong: $o).
0.31/240.05	thf(decl_105, type, setunion__Cong: $o).
0.31/240.05	thf(decl_106, type, omega__Cong: $o).
0.31/240.05	thf(decl_107, type, exuEu: $o).
0.31/240.05	thf(decl_108, type, descr__Cong: $o).
0.31/240.05	thf(decl_109, type, dsetconstr__Cong: $o).
0.31/240.05	thf(decl_110, type, subset: $i > $i > $o).
0.31/240.05	thf(decl_113, type, subsetI1: $o).
0.31/240.05	thf(decl_114, type, eqimpsubset2: $o).
0.31/240.05	thf(decl_115, type, eqimpsubset1: $o).
0.31/240.05	thf(decl_116, type, subsetI2: $o).
0.31/240.05	thf(decl_117, type, epred1_0: $o).
0.31/240.05	thf(decl_118, type, esk1_2: $i > $i > $i).
0.31/240.05	thf(decl_119, type, esk2_2: $i > $i > $i).
0.31/240.05	thf(decl_120, type, esk3_2: $i > $i > $i).
0.31/240.05	thf(decl_121, type, esk4_1: $i > $i).
0.31/240.05	thf(decl_122, type, esk5_2: ($i > $i > $o) > $i > $i).
0.31/240.05	thf(decl_123, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
0.31/240.05	thf(decl_124, type, esk7_2: ($i > $i > $o) > $i > $i).
0.31/240.05	thf(decl_125, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
0.31/240.05	thf(decl_126, type, esk9_1: $i > $i).
0.31/240.05	thf(decl_127, type, esk10_2: ($i > $o) > $i > $i).
0.31/240.05	thf(decl_128, type, esk11_2: ($i > $o) > $i > $i).
0.31/240.05	thf(decl_129, type, esk12_1: ($i > $o) > $i).
0.31/240.05	thf(decl_130, type, esk13_2: ($i > $o) > $i > $i).
0.31/240.05	thf(decl_131, type, esk14_1: ($i > $o) > $i).
0.31/240.05	thf(decl_132, type, esk15_2: $i > $i > $i).
0.31/240.05	thf(decl_133, type, esk16_2: $i > $i > $i).
0.31/240.05	thf(decl_134, type, esk17_1: $i > $i).
0.31/240.05	thf(decl_135, type, esk18_1: $i > $i).
0.31/240.05	thf(decl_136, type, esk19_1: $i > $i).
0.31/240.05	thf(decl_137, type, esk20_2: $i > $i > $i).
0.31/240.05	thf(decl_138, type, esk21_3: $i > $i > $o > $i).
0.31/240.05	thf(decl_139, type, esk22_2: ($i > $o) > $i > $i).
0.31/240.05	thf(decl_140, type, esk23_1: ($i > $o) > $i).
0.31/240.05	thf(decl_141, type, esk24_1: $i > $i).
0.31/240.05	thf(decl_142, type, esk25_2: $i > ($i > $o) > $i).
0.31/240.05	thf(decl_143, type, esk26_2: $i > ($i > $o) > $i).
0.31/240.05	thf(decl_144, type, esk27_2: $i > ($i > $o) > $i).
0.31/240.05	thf(decl_145, type, esk28_2: $i > ($i > $o) > $i).
0.31/240.05	thf(decl_146, type, esk29_2: $i > ($i > $o) > $i).
0.31/240.05	thf(decl_147, type, esk30_2: $i > ($i > $o) > $i).
0.31/240.05	thf(decl_148, type, esk31_2: ($i > $o) > $i > $i).
0.31/240.05	thf(decl_149, type, esk32_1: ($i > $o) > $i).
0.31/240.05	thf(decl_150, type, esk33_1: ($i > $o) > $i).
0.31/240.05	thf(decl_151, type, esk34_1: ($i > $o) > $i).
0.31/240.05	thf(decl_152, type, esk35_1: ($i > $o) > $i).
0.31/240.05	thf(decl_153, type, esk36_2: ($i > $o) > $i > $i).
0.31/240.05	thf(decl_154, type, esk37_1: ($i > $o) > $i).
0.31/240.05	thf(decl_155, type, esk38_2: ($i > $o) > $i > $i).
0.31/240.05	thf(decl_156, type, esk39_2: ($i > $o) > ($i > $o) > $i).
0.31/240.05	thf(decl_157, type, esk40_2: ($i > $o) > ($i > $o) > $i).
0.31/240.05	thf(decl_158, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
0.31/240.05	thf(decl_159, type, esk42_2: ($i > $o) > ($i > $o) > $i).
0.31/240.05	thf(decl_160, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
0.31/240.05	thf(decl_161, type, esk44_2: ($i > $o) > ($i > $o) > $i).
0.31/240.05	thf(decl_162, type, esk45_2: ($i > $o) > $i > $i).
0.31/240.05	thf(decl_163, type, esk46_2: ($i > $o) > ($i > $o) > $i).
0.31/240.05	thf(decl_164, type, esk47_2: ($i > $o) > ($i > $o) > $i).
0.31/240.05	thf(decl_165, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
0.31/240.05	thf(decl_166, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
0.31/240.05	thf(decl_167, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
0.31/240.05	thf(decl_168, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
0.31/240.05	thf(decl_169, type, esk52_2: $i > $i > $i).
0.31/240.05	thf(decl_170, type, esk53_2: $i > $i > $i).
0.31/240.05	thf(decl_171, type, esk54_0: $i).
0.31/240.05	thf(decl_172, type, esk55_0: $i).
0.31/240.05	thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', exuE3e)).
0.31/240.05	thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', exu)).
0.31/240.05	thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', exuE1)).
0.31/240.05	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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', replAx)).
0.31/240.05	thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', descr__Cong)).
0.31/240.05	thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', exuI2)).
0.31/240.05	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.aCQJOG3blI/E---3.1_17937.p', exuE3u)).
0.31/240.05	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:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', exu__Cong)).
0.31/240.05	thf(subset, axiom, ((subset)=(^[X4:$i, X5:$i]:(![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', subset)).
0.31/240.05	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.aCQJOG3blI/E---3.1_17937.p', exuEu)).
0.31/240.05	thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', exuI3)).
0.31/240.05	thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', exuI1)).
0.31/240.05	thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', nonempty)).
0.31/240.05	thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', exuE2)).
0.31/240.05	thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', nonemptyI)).
0.31/240.05	thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', descrp)).
0.31/240.05	thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', dsetconstrER)).
0.31/240.05	thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', dsetconstrEL)).
0.31/240.05	thf(emptyE1, axiom, ((emptyE1)<=>![X4:$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.aCQJOG3blI/E---3.1_17937.p', emptyE1)).
0.31/240.05	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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', dsetconstr__Cong)).
0.31/240.05	thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', eqimpsubset2)).
0.31/240.05	thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', eqimpsubset1)).
0.31/240.05	thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', subsetI2)).
0.31/240.05	thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', subsetI1)).
0.31/240.05	thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', nonemptyImpWitness)).
0.31/240.05	thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', setoftrueEq)).
0.31/240.05	thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', nonemptyI1)).
0.31/240.05	thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', nonemptyE1)).
0.31/240.05	thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', setbeta)).
0.31/240.05	thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', dsetconstrI)).
0.31/240.05	thf(emptysetsubset, conjecture, ((((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>(((((((descrp)=>((dsetconstrI)=>(((((((emptysetimpfalse)=>((((setext)=>((((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>(((((setoftrueEq)=>((((emptyInPowerset)=>((powersetE)=>((setunionI)=>(((subPowSU)=>(((((notinsingleton)=>((eqinunit)=>(((upairsetE)=>(((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>(((((exuI2)=>((inCongP)=>(((exuE3u)=>((exu__Cong)=>(((setadjoin__Cong)=>(((((((dsetconstr__Cong)=>(((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>![X4:$i]:((subset @ emptyset @ X4)))))<=(subsetI1)))<=(descr__Cong))<=(exuEu))<=(omega__Cong))<=(setunion__Cong))<=(powerset__Cong)))<=(emptyset__Cong))))<=(in__Cong))))<=(exuI3))<=(exuI1))<=(notdallE))))))))))))<=(upairsetIL)))<=(singletonsswitch))))<=(uniqinunit))<=(nonemptyImpWitness))<=(exuE2)))<=(setunionE)))))<=(emptyinPowerset))<=(powersetI)))<=(setadjoinOr))<=(setadjoinE))<=(setadjoinIR))))))))<=(noeltsimpempty))<=(emptyI)))<=(exuE3e))<=(notinemptyset)))<=(emptysetE))<=(prop2setE))<=(exuE1))<=(dsetconstrER))<=(dsetconstrEL))))<=(wellorderingAx))<=(foundationAx))<=(replAx))<=(omegaIndAx))<=(omegaSAx))))))<=(emptysetAx))<=(setextAx)), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', emptysetsubset)).
0.31/240.05	thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', quantDeMorgan3)).
0.31/240.05	thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', setextAx)).
0.31/240.05	thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', emptyI)).
0.31/240.05	thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', notinemptyset)).
0.31/240.05	thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', upairsetE)).
0.31/240.05	thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', emptysetE)).
0.31/240.05	thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', prop2setE)).
0.31/240.05	thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', upairsetIR)).
0.31/240.05	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:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', wellorderingAx)).
0.31/240.05	thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', foundationAx)).
0.31/240.05	thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', vacuousDall)).
0.31/240.05	thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', omegaIndAx)).
0.31/240.05	thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', omegaSAx)).
0.31/240.05	thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', quantDeMorgan1)).
0.31/240.05	thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', emptysetAx)).
0.31/240.05	thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', setunionI)).
0.31/240.05	thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', quantDeMorgan2)).
0.31/240.05	thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', subPowSU)).
0.31/240.05	thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', quantDeMorgan4)).
0.31/240.05	thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', prop2setI)).
0.31/240.05	thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', notdexE)).
0.31/240.05	thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', inCongP)).
0.31/240.05	thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', setadjoin__Cong)).
0.31/240.05	thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', notinsingleton)).
0.31/240.05	thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', omega__Cong)).
0.31/240.05	thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', setunion__Cong)).
0.31/240.05	thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', powerset__Cong)).
0.31/240.05	thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', emptyset__Cong)).
0.31/240.05	thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', in__Cong)).
0.31/240.05	thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', notdallE)).
0.31/240.05	thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', upairsetIL)).
0.31/240.05	thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', singletonsswitch)).
0.31/240.05	thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', uniqinunit)).
0.31/240.05	thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', setunionE)).
0.31/240.05	thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', emptyinPowerset)).
0.31/240.05	thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', powersetI)).
0.31/240.05	thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', eqinunit)).
0.31/240.05	thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', setadjoinOr)).
0.31/240.05	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.aCQJOG3blI/E---3.1_17937.p', setadjoinE)).
0.31/240.05	thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', setadjoinIR)).
0.31/240.05	thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', noeltsimpempty)).
0.31/240.05	thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', powersetE)).
0.31/240.05	thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', emptyInPowerset)).
0.31/240.05	thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', emptyinunitempty)).
0.31/240.05	thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', setadjoinIL)).
0.31/240.05	thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', setext)).
0.31/240.05	thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', emptysetimpfalse)).
0.31/240.05	thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', omega0Ax)).
0.31/240.05	thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', setunionAx)).
0.31/240.05	thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', powersetAx)).
0.31/240.05	thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.aCQJOG3blI/E---3.1_17937.p', setadjoinAx)).
0.31/240.05	thf(c_0_82, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
0.31/240.05	thf(c_0_83, plain, ((exu)=(^[Z0/* 5 */:$i > $o]:(?[X2:$i]:(((Z0 @ X2)&![X3:$i]:(((Z0 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exu])).
0.31/240.05	thf(c_0_84, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
0.31/240.05	thf(c_0_85, 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
0.31/240.05	thf(c_0_86, plain, ((descr__Cong)<=>![X1:$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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
0.31/240.05	thf(c_0_87, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
0.31/240.05	thf(c_0_88, 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])).
0.31/240.05	thf(c_0_89, 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 */:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
0.31/240.05	thf(c_0_90, plain, ((subset)=(^[Z0/* 19 */:$i, Z1:$i]:(![X2:$i]:(((in @ X2 @ Z0)=>(in @ X2 @ Z1)))))), inference(fof_simplification,[status(thm)],[subset])).
0.31/240.05	thf(c_0_91, 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])).
0.31/240.05	thf(c_0_92, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
0.31/240.05	thf(c_0_93, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])).
0.31/240.05	thf(c_0_94, plain, ((nonempty)=(^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
0.31/240.05	thf(c_0_95, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
0.31/240.05	thf(c_0_96, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
0.31/240.05	thf(c_0_97, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
0.31/240.05	thf(c_0_98, plain, ((exuE3e)=(![X1:$i > $o]:(((?[X247:$i]:((((X1 @ X247))&![X248:$i]:((((X1 @ X248))=>((X247)=(X248)))))))=>?[X2:$i]:((X1 @ X2)))))), inference(apply_def,[status(thm)],[c_0_82, c_0_83])).
0.31/240.05	thf(c_0_99, plain, ((exuE1)=(![X1:$i > $o]:(((?[X245:$i]:((((X1 @ X245))&![X246:$i]:((((X1 @ X246))=>((X245)=(X246)))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))), inference(apply_def,[status(thm)],[c_0_84, c_0_83])).
0.31/240.05	thf(c_0_100, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
0.31/240.05	thf(c_0_101, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
0.31/240.05	thf(c_0_102, plain, ((emptyE1)<=>![X4:$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])).
0.31/240.05	thf(c_0_103, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(?[X241:$i]:((((X6 @ X2 @ X241))&![X242:$i]:((((X6 @ X2 @ X242))=>((X241)=(X242)))))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2)))))))))), inference(apply_def,[status(thm)],[c_0_85, c_0_83])).
0.31/240.05	thf(c_0_104, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X265:$i]:((((X1 @ X265))&![X266:$i]:((((X1 @ X266))=>((X265)=(X266)))))))=>((?[X267:$i]:((((X17 @ X267))&![X268:$i]:((((X17 @ X268))=>((X267)=(X268)))))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))))))))), inference(apply_def,[status(thm)],[c_0_86, c_0_83])).
0.31/240.05	thf(c_0_105, plain, ((exuI2)=(![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(?[X255:$i]:((((X1 @ X255))&![X256:$i]:((((X1 @ X256))=>((X255)=(X256))))))))))), inference(apply_def,[status(thm)],[c_0_87, c_0_83])).
0.31/240.05	thf(c_0_106, plain, ((exuE3u)=(![X1:$i > $o]:(((?[X257:$i]:((((X1 @ X257))&![X258:$i]:((((X1 @ X258))=>((X257)=(X258)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_88, c_0_83])).
0.31/240.05	thf(c_0_107, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X259:$i]:((((X1 @ X259))&![X260:$i]:((((X1 @ X260))=>((X259)=(X260)))))))<=>(?[X261:$i]:((((X17 @ X261))&![X262:$i]:((((X17 @ X262))=>((X261)=(X262)))))))))))), inference(apply_def,[status(thm)],[c_0_89, c_0_83])).
0.31/240.05	thf(c_0_108, plain, ((dsetconstr__Cong)<=>![X4:$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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
0.31/240.05	thf(c_0_109, axiom, ((eqimpsubset2)=(![X4:$i, X5:$i]:((((X4)=(X5))=>(![X270:$i]:(((in @ X270 @ X5)=>(in @ X270 @ X4)))))))), inference(apply_def,[status(thm)],[eqimpsubset2, c_0_90])).
0.31/240.05	thf(c_0_110, axiom, ((eqimpsubset1)=(![X4:$i, X5:$i]:((((X4)=(X5))=>(![X271:$i]:(((in @ X271 @ X4)=>(in @ X271 @ X5)))))))), inference(apply_def,[status(thm)],[eqimpsubset1, c_0_90])).
0.31/240.05	thf(c_0_111, axiom, ((subsetI2)=(![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X272:$i]:(((in @ X272 @ X4)=>(in @ X272 @ X5)))))))), inference(apply_def,[status(thm)],[subsetI2, c_0_90])).
0.31/240.05	thf(c_0_112, axiom, ((subsetI1)=(![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X269:$i]:(((in @ X269 @ X4)=>(in @ X269 @ X5)))))))), inference(apply_def,[status(thm)],[subsetI1, c_0_90])).
0.31/240.05	thf(c_0_113, plain, ((exuEu)=(![X1:$i > $o]:(((?[X263:$i]:((((X1 @ X263))&![X264:$i]:((((X1 @ X264))=>((X263)=(X264)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_91, c_0_83])).
0.31/240.05	thf(c_0_114, plain, ((exuI3)=(![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(?[X253:$i]:((((X1 @ X253))&![X254:$i]:((((X1 @ X254))=>((X253)=(X254)))))))))))), inference(apply_def,[status(thm)],[c_0_92, c_0_83])).
0.31/240.05	thf(c_0_115, plain, ((exuI1)=(![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(?[X251:$i]:((((X1 @ X251))&![X252:$i]:((((X1 @ X252))=>((X251)=(X252))))))))))), inference(apply_def,[status(thm)],[c_0_93, c_0_83])).
0.31/240.05	thf(c_0_116, axiom, ((nonemptyImpWitness)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:(((in @ X2 @ X4)&($true))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_94])).
0.31/240.05	thf(c_0_117, plain, ((exuE2)=(![X1:$i > $o]:(((?[X249:$i]:((((X1 @ X249))&![X250:$i]:((((X1 @ X250))=>((X249)=(X250)))))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2))))))))), inference(apply_def,[status(thm)],[c_0_95, c_0_83])).
0.31/240.05	thf(c_0_118, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
0.31/240.05	thf(c_0_119, axiom, ((nonemptyI1)=(![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(((X4)!=(emptyset))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_94])).
0.31/240.05	thf(c_0_120, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))!=(emptyset)))))))), inference(apply_def,[status(thm)],[c_0_96, c_0_94])).
0.31/240.05	thf(c_0_121, axiom, ((nonemptyE1)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:((in @ X2 @ X4)))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_94])).
0.31/240.05	thf(c_0_122, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
0.31/240.05	thf(c_0_123, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
0.31/240.05	thf(c_0_124, plain, ((descrp)=(![X1:$i > $o]:(((?[X243:$i]:((((X1 @ X243))&![X244:$i]:((((X1 @ X244))=>((X243)=(X244)))))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(apply_def,[status(thm)],[c_0_97, c_0_83])).
0.31/240.05	thf(c_0_125, plain, ((epred1_0)<=>![X488:$i]:(?[X489:$i]:((((![X490:$i]:(((in @ X490 @ X489)=>![X491:$i]:(((in @ X491 @ X490)=>(in @ X491 @ X488)))))&![X492:$i, X493:$i]:((((in @ X492 @ X488)&(in @ X493 @ X488))=>(![X494:$i]:(((in @ X494 @ X489)=>((in @ X492 @ X494)<=>(in @ X493 @ X494))))=>((X492)=(X493))))))&![X495:$i, X496:$i]:((((in @ X495 @ X489)&(in @ X496 @ X489))=>(![X497:$i]:(((in @ X497 @ X495)=>(in @ X497 @ X496)))|![X498:$i]:(((in @ X498 @ X496)=>(in @ X498 @ X495)))))))&![X499:$i]:(((![X500:$i]:(((in @ X500 @ X499)=>(in @ X500 @ X488)))&?[X501:$i]:((in @ X501 @ X499)))=>?[X502:$i, X503:$i]:(((((in @ X502 @ X489)&(in @ X503 @ X499))&~(?[X504:$i]:(((in @ X504 @ X502)&(in @ X504 @ X499)))))&![X505:$i]:(((in @ X505 @ X489)=>(![X506:$i]:(((in @ X506 @ X505)=>(in @ X506 @ X502)))|(in @ X503 @ X505)))))))))))), introduced(definition)).
0.31/240.05	thf(c_0_126, negated_conjecture, ~((![X524:$i, X525:$i]:((![X526:$i]:(((in @ X526 @ X524)<=>(in @ X526 @ X525)))=>((X524)=(X525))))=>(![X523:$i]:(~(in @ X523 @ emptyset))=>(![X273:$i, X274:$i, X275:$i]:(((in @ X275 @ (setadjoin @ X273 @ X274))<=>(((X275)=(X273))|(in @ X275 @ X274))))=>(![X276:$i, X277:$i]:(((in @ X277 @ (powerset @ X276))<=>![X278:$i]:(((in @ X278 @ X277)=>(in @ X278 @ X276)))))=>(![X279:$i, X280:$i]:(((in @ X280 @ (setunion @ X279))<=>?[X281:$i]:(((in @ X280 @ X281)&(in @ X281 @ X279)))))=>((in @ emptyset @ omega)=>(![X522:$i]:(((in @ X522 @ omega)=>(in @ (setadjoin @ X522 @ X522) @ omega)))=>(![X519:$i]:((((in @ emptyset @ X519)&![X520:$i]:((((in @ X520 @ omega)&(in @ X520 @ X519))=>(in @ (setadjoin @ X520 @ X520) @ X519))))=>![X521:$i]:(((in @ X521 @ omega)=>(in @ X521 @ X519)))))=>(![X511:$i > $i > $o, X512:$i]:((![X513:$i]:(((in @ X513 @ X512)=>?[X514:$i]:(((X511 @ X513 @ X514)&![X515:$i]:(((X511 @ X513 @ X515)=>((X514)=(X515))))))))=>?[X516:$i]:(![X517:$i]:(((in @ X517 @ X516)<=>?[X518:$i]:(((in @ X518 @ X512)&(X511 @ X518 @ X517))))))))=>(![X507:$i]:((?[X508:$i]:((in @ X508 @ X507))=>?[X509:$i]:(((in @ X509 @ X507)&~(?[X510:$i]:(((in @ X510 @ X509)&(in @ X510 @ X507))))))))=>((epred1_0)=>(![X282:$i > $o]:((?[X283:$i]:(((X282 @ X283)&![X284:$i]:(((X282 @ X284)=>((X283)=(X284))))))=>(X282 @ (descr @ (^[Z0/* 3 */:$i]:((X282 @ Z0)))))))=>(![X285:$i, X286:$i > $o, X287:$i]:(((in @ X287 @ X285)=>((X286 @ X287)=>(in @ X287 @ (dsetconstr @ X285 @ (^[Z0/* 3 */:$i]:((X286 @ Z0))))))))=>(![X485:$i, X486:$i > $o, X487:$i]:(((in @ X487 @ (dsetconstr @ X485 @ (^[Z0/* 3 */:$i]:((X486 @ Z0)))))=>(in @ X487 @ X485)))=>(![X482:$i, X483:$i > $o, X484:$i]:(((in @ X484 @ (dsetconstr @ X482 @ (^[Z0/* 3 */:$i]:((X483 @ Z0)))))=>(X483 @ X484)))=>(![X477:$i > $o]:((?[X478:$i]:(((X477 @ X478)&![X479:$i]:(((X477 @ X479)=>((X478)=(X479))))))=>?[X480:$i]:(((X477 @ X480)&![X481:$i]:(((X477 @ X481)=>((X480)=(X481))))))))=>(![X475:$o, X476:$i]:(((in @ X476 @ (prop2set @ ((X475))))=>(X475)))=>(![X473:$i]:(((in @ X473 @ emptyset)=>![X474:$o]:((X474))))=>(![X288:$i]:(~(in @ X288 @ emptyset))=>(![X472:$i]:(~(in @ X472 @ emptyset))=>(![X468:$i > $o]:((?[X469:$i]:(((X468 @ X469)&![X470:$i]:(((X468 @ X470)=>((X469)=(X470))))))=>?[X471:$i]:((X468 @ X471))))=>(![X289:$i, X290:$i]:((![X291:$i]:(((in @ X291 @ X289)=>(in @ X291 @ X290)))=>(![X292:$i]:(((in @ X292 @ X290)=>(in @ X292 @ X289)))=>((X289)=(X290)))))=>(![X466:$i]:((![X467:$i]:(~(in @ X467 @ X466))=>((X466)=(emptyset))))=>(![X464:$i]:((![X465:$i]:(~(in @ X465 @ X464))=>((X464)=(emptyset))))=>(![X293:$i, X294:$i > $o, X295:$i]:(((in @ X295 @ X293)=>((in @ X295 @ (dsetconstr @ X293 @ (^[Z0/* 3 */:$i]:((X294 @ Z0)))))<=>(X294 @ X295))))=>(![X296:$i]:((((X296)!=(emptyset))=>?[X297:$i]:((in @ X297 @ X296))))=>(![X298:$i, X299:$i > $o, X300:$i]:(((in @ X300 @ X298)=>((X299 @ X300)=>((dsetconstr @ X298 @ (^[Z0/* 3 */:$i]:((X299 @ Z0))))!=(emptyset)))))=>(![X301:$i]:((?[X302:$i]:((in @ X302 @ X301))=>((X301)!=(emptyset))))=>(![X303:$i, X304:$i]:((in @ X303 @ (setadjoin @ X303 @ X304)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X461:$i, X462:$i, X463:$i]:(((in @ X463 @ X462)=>(in @ X463 @ (setadjoin @ X461 @ X462))))=>(![X457:$i, X458:$i, X459:$i]:(((in @ X459 @ (setadjoin @ X457 @ X458))=>![X460:$o]:(((((X459)=(X457))=>(X460))=>(((in @ X459 @ X458)=>(X460))=>(X460))))))=>(![X454:$i, X455:$i, X456:$i]:(((in @ X456 @ (setadjoin @ X454 @ X455))=>(((X456)=(X454))|(in @ X456 @ X455))))=>(![X305:$i]:(((dsetconstr @ X305 @ (^[Z0/* 3 */:$i]:(($true))))=(X305)))=>(![X451:$i, X452:$i]:((![X453:$i]:(((in @ X453 @ X452)=>(in @ X453 @ X451)))=>(in @ X452 @ (powerset @ X451))))=>(![X450:$i]:((in @ emptyset @ (powerset @ X450)))=>(![X306:$i]:((in @ emptyset @ (powerset @ X306)))=>(![X307:$i, X308:$i, X309:$i]:(((in @ X308 @ (powerset @ X307))=>((in @ X309 @ X308)=>(in @ X309 @ X307))))=>(![X310:$i, X311:$i, X312:$i]:(((in @ X311 @ X312)=>((in @ X312 @ X310)=>(in @ X311 @ (setunion @ X310)))))=>(![X446:$i, X447:$i]:(((in @ X447 @ (setunion @ X446))=>![X448:$o]:((![X449:$i]:(((in @ X447 @ X449)=>((in @ X449 @ X446)=>(X448))))=>(X448)))))=>(![X313:$i, X314:$i]:(((in @ X314 @ X313)=>(in @ X314 @ (powerset @ (setunion @ X313)))))=>(![X441:$i > $o]:((?[X442:$i]:(((X441 @ X442)&![X443:$i]:(((X441 @ X443)=>((X442)=(X443))))))=>?[X444:$i]:(![X445:$i]:(((X441 @ X445)<=>((X445)=(X444)))))))=>(![X439:$i]:((((X439)!=(emptyset))=>?[X440:$i]:((in @ X440 @ X439))))=>(![X437:$i, X438:$i]:(((in @ X437 @ (setadjoin @ X438 @ emptyset))=>((X437)=(X438))))=>(![X315:$i, X316:$i]:((((X315)!=(X316))=>~(in @ X316 @ (setadjoin @ X315 @ emptyset))))=>(![X317:$i, X318:$i]:((((X317)=(X318))=>(in @ X317 @ (setadjoin @ X318 @ emptyset))))=>(![X435:$i, X436:$i]:(((in @ X435 @ (setadjoin @ X436 @ emptyset))=>(in @ X436 @ (setadjoin @ X435 @ emptyset))))=>(![X319:$i, X320:$i, X321:$i]:(((in @ X321 @ (setadjoin @ X319 @ (setadjoin @ X320 @ emptyset)))=>(((X321)=(X319))|((X321)=(X320)))))=>(![X433:$i, X434:$i]:((in @ X433 @ (setadjoin @ X433 @ (setadjoin @ X434 @ emptyset))))=>(![X322:$i, X323:$i]:((in @ X323 @ (setadjoin @ X322 @ (setadjoin @ X323 @ emptyset))))=>(![X324:$i, X325:$i > $o]:((?[X326:$i]:(((in @ X326 @ X324)&(X325 @ X326)))=>((dsetconstr @ X324 @ (^[Z0/* 3 */:$i]:((X325 @ Z0))))!=(emptyset))))=>(![X327:$i > $o, X328:$i]:(((in @ X328 @ emptyset)=>(X327 @ X328)))=>(![X329:$i, X330:$i > $o]:((~(![X331:$i]:(((in @ X331 @ X329)=>(X330 @ X331))))=>?[X332:$i]:(((in @ X332 @ X329)&~(X330 @ X332)))))=>(![X333:$i, X334:$i > $o]:((![X335:$i]:(((in @ X335 @ X333)=>~(X334 @ X335)))=>~(?[X336:$i]:(((in @ X336 @ X333)&(X334 @ X336))))))=>(![X337:$i, X338:$i > $o]:((~(?[X339:$i]:(((in @ X339 @ X337)&(X338 @ X339))))=>![X340:$i]:(((in @ X340 @ X337)=>~(X338 @ X340)))))=>(![X341:$i, X342:$i > $o]:((?[X343:$i]:(((in @ X343 @ X341)&~(X342 @ X343)))=>~(![X344:$i]:(((in @ X344 @ X341)=>(X342 @ X344))))))=>(![X345:$o]:(((X345)=>(in @ emptyset @ (prop2set @ ((X345))))))=>((prop2set2propI)=>(![X346:$i, X347:$i > $o]:((~(?[X348:$i]:(((in @ X348 @ X346)&(X347 @ X348))))=>![X349:$i]:(((in @ X349 @ X346)=>~(X347 @ X349)))))=>(![X429:$i, X430:$i > $o]:((~(![X431:$i]:(((in @ X431 @ X429)=>(X430 @ X431))))=>?[X432:$i]:(((in @ X432 @ X429)&~(X430 @ X432)))))=>(![X424:$i > $o]:((?[X425:$i]:(((X424 @ X425)&![X426:$i]:(((X424 @ X426)=>((X425)=(X426))))))=>?[X427:$i]:(((X424 @ X427)&![X428:$i]:(((X424 @ X428)=>((X427)=(X428))))))))=>(![X418:$i > $o]:((?[X419:$i]:((X418 @ X419))=>(![X420:$i, X421:$i]:(((X418 @ X420)=>((X418 @ X421)=>((X420)=(X421)))))=>?[X422:$i]:(((X418 @ X422)&![X423:$i]:(((X418 @ X423)=>((X422)=(X423)))))))))=>(![X350:$i > $o]:((?[X351:$i]:(![X352:$i]:(((X350 @ X352)<=>((X352)=(X351)))))=>?[X353:$i]:(((X350 @ X353)&![X354:$i]:(((X350 @ X354)=>((X353)=(X354))))))))=>(![X355:$i, X356:$i]:((((X355)=(X356))=>![X357:$i, X358:$i]:((((X357)=(X358))=>((in @ X357 @ X355)=>(in @ X358 @ X356))))))=>(![X414:$i, X415:$i]:((((X414)=(X415))=>![X416:$i, X417:$i]:((((X416)=(X417))=>((in @ X416 @ X414)<=>(in @ X417 @ X415))))))=>(![X359:$i > $o]:((?[X360:$i]:(((X359 @ X360)&![X361:$i]:(((X359 @ X361)=>((X360)=(X361))))))=>![X362:$i, X363:$i]:(((X359 @ X362)=>((X359 @ X363)=>((X362)=(X363)))))))=>(![X364:$i > $o, X365:$i > $o]:((![X366:$i, X367:$i]:((((X366)=(X367))=>((X364 @ X366)<=>(X365 @ X367))))=>(?[X368:$i]:(((X364 @ X368)&![X369:$i]:(((X364 @ X369)=>((X368)=(X369))))))<=>?[X370:$i]:(((X365 @ X370)&![X371:$i]:(((X365 @ X371)=>((X370)=(X371)))))))))=>(((emptyset)=(emptyset))=>(![X372:$i, X373:$i]:((((X372)=(X373))=>![X374:$i, X375:$i]:((((X374)=(X375))=>((setadjoin @ X372 @ X374)=(setadjoin @ X373 @ X375))))))=>(![X412:$i, X413:$i]:((((X412)=(X413))=>((powerset @ X412)=(powerset @ X413))))=>(![X410:$i, X411:$i]:((((X410)=(X411))=>((setunion @ X410)=(setunion @ X411))))=>(((omega)=(omega))=>(![X405:$i > $o]:((?[X406:$i]:(((X405 @ X406)&![X407:$i]:(((X405 @ X407)=>((X406)=(X407))))))=>![X408:$i, X409:$i]:(((X405 @ X408)=>((X405 @ X409)=>((X408)=(X409)))))))=>(![X397:$i > $o, X398:$i > $o]:((![X399:$i, X400:$i]:((((X399)=(X400))=>((X397 @ X399)<=>(X398 @ X400))))=>(?[X401:$i]:(((X397 @ X401)&![X402:$i]:(((X397 @ X402)=>((X401)=(X402))))))=>(?[X403:$i]:(((X398 @ X403)&![X404:$i]:(((X398 @ X404)=>((X403)=(X404))))))=>((descr @ (^[Z0/* 3 */:$i]:((X397 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X398 @ Z0)))))))))=>(![X376:$i, X377:$i]:((((X376)=(X377))=>![X378:$i > $o, X379:$i > $o]:((![X380:$i]:(((in @ X380 @ X376)=>![X381:$i]:(((in @ X381 @ X377)=>(((X380)=(X381))=>((X378 @ X380)<=>(X379 @ X381)))))))=>((dsetconstr @ X376 @ (^[Z0/* 3 */:$i]:((X378 @ Z0))))=(dsetconstr @ X377 @ (^[Z0/* 3 */:$i]:((X379 @ Z0)))))))))=>(![X393:$i, X394:$i]:((![X395:$i]:(((in @ X395 @ X393)=>(in @ X395 @ X394)))=>![X396:$i]:(((in @ X396 @ X393)=>(in @ X396 @ X394)))))=>(![X382:$i, X383:$i]:((((X382)=(X383))=>![X384:$i]:(((in @ X384 @ X383)=>(in @ X384 @ X382)))))=>(![X385:$i, X386:$i]:((((X385)=(X386))=>![X387:$i]:(((in @ X387 @ X385)=>(in @ X387 @ X386)))))=>(![X388:$i, X389:$i]:((![X390:$i]:(((in @ X390 @ X388)=>(in @ X390 @ X389)))=>![X391:$i]:(((in @ X391 @ X388)=>(in @ X391 @ X389)))))=>![X4:$i, X392:$i]:(((in @ X392 @ emptyset)=>(in @ X392 @ X4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[emptysetsubset]), quantDeMorgan3]), setextAx]), emptyI]), c_0_98]), notinemptyset]), upairsetE]), emptysetE]), prop2setE]), upairsetIR]), c_0_99]), c_0_100]), c_0_101]), c_0_102]), wellorderingAx]), foundationAx]), vacuousDall]), c_0_103]), omegaIndAx]), omegaSAx]), quantDeMorgan1]), emptysetAx]), setunionI]), quantDeMorgan2]), c_0_104]), subPowSU]), quantDeMorgan4]), prop2setI]), notdexE]), c_0_105]), inCongP]), c_0_106]), c_0_107]), setadjoin__Cong]), notinsingleton]), c_0_108]), c_0_109]), c_0_110]), c_0_111]), c_0_90]), c_0_112]), c_0_113]), omega__Cong]), setunion__Cong]), powerset__Cong]), emptyset__Cong]), in__Cong]), c_0_114]), c_0_115]), notdallE]), upairsetIL]), singletonsswitch]), uniqinunit]), c_0_116]), c_0_117]), setunionE]), emptyinPowerset]), powersetI]), eqinunit]), setadjoinOr]), setadjoinE]), setadjoinIR]), noeltsimpempty]), powersetE]), emptyInPowerset]), c_0_118]), emptyinunitempty]), setadjoinIL]), c_0_119]), c_0_120]), c_0_121]), c_0_122]), setext]), emptysetimpfalse]), c_0_123]), c_0_124]), omega0Ax]), setunionAx]), powersetAx]), setadjoinAx])]), c_0_125])).
0.31/240.05	thf(c_0_127, negated_conjecture, ![X527:$i, X528:$i, X530:$i, X531:$i, X532:$i, X533:$i, X534:$i, X535:$i, X536:$i, X537:$i, X538:$i, X540:$i, X541:$i, X543:$i, X544:$i, X545:$i, X546:$i, X547:$i, X549:$i, X550:$i > $i > $o, X551:$i, X553:$i, X556:$i, X558:$i, X559:$i, X560:$i, X561:$i, X563:$i, X564:$i > $o, X565:$i, X567:$i, X568:$i > $o, X569:$i, X570:$i, X571:$i > $o, X572:$i, X573:$i, X574:$i > $o, X575:$i, X576:$i > $o, X577:$i, X580:$i, X581:$o, X582:$i, X583:$i, X584:$o, X585:$i, X586:$i, X587:$i > $o, X588:$i, X591:$i, X592:$i, X595:$i, X597:$i, X599:$i, X600:$i > $o, X601:$i, X602:$i, X604:$i, X605:$i > $o, X606:$i, X607:$i, X608:$i, X609:$i, X610:$i, X611:$i, X612:$i, X613:$i, X614:$i, X615:$i, X616:$i, X617:$o, X618:$i, X619:$i, X620:$i, X621:$i, X622:$i, X623:$i, X625:$i, X626:$i, X627:$i, X628:$i, X629:$i, X630:$i, X631:$i, X632:$i, X633:$i, X634:$i, X635:$o, X637:$i, X638:$i, X639:$i > $o, X640:$i, X643:$i, X644:$i, X645:$i, X647:$i, X648:$i, X649:$i, X650:$i, X651:$i, X652:$i, X653:$i, X654:$i, X655:$i, X656:$i, X657:$i, X658:$i, X659:$i, X660:$i, X661:$i, X662:$i, X663:$i > $o, X664:$i, X665:$i > $o, X666:$i, X667:$i, X668:$i > $o, X669:$i, X671:$i, X672:$i > $o, X674:$i, X675:$i, X676:$i > $o, X678:$i, X679:$i, X680:$i > $o, X681:$i, X683:$o, X684:$i, X685:$i > $o, X687:$i, X688:$i, X689:$i > $o, X690:$i, X692:$i > $o, X693:$i, X696:$i, X697:$i > $o, X698:$i, X702:$i, X703:$i > $o, X704:$i, X707:$i, X708:$i, X709:$i, X710:$i, X711:$i, X712:$i, X713:$i, X714:$i, X715:$i, X716:$i > $o, X717:$i, X719:$i, X720:$i, X721:$i > $o, X722:$i > $o, X725:$i, X728:$i, X729:$i, X732:$i, X733:$i, X734:$i, X735:$i, X736:$i, X737:$i, X738:$i, X739:$i, X740:$i, X741:$i > $o, X742:$i, X744:$i, X745:$i, X746:$i > $o, X747:$i > $o, X750:$i, X752:$i, X754:$i, X755:$i, X756:$i > $o, X757:$i > $o, X760:$i, X761:$i, X763:$i, X764:$i, X765:$i, X766:$i, X767:$i, X768:$i, X769:$i, X770:$i, X771:$i, X773:$i]:((((~(in @ (esk1_2 @ X527 @ X528) @ X527)|~(in @ (esk1_2 @ X527 @ X528) @ X528)|((X527)=(X528)))&((in @ (esk1_2 @ X527 @ X528) @ X527)|(in @ (esk1_2 @ X527 @ X528) @ X528)|((X527)=(X528))))&(~(in @ X530 @ emptyset)&(((~(in @ X533 @ (setadjoin @ X531 @ X532))|(((X533)=(X531))|(in @ X533 @ X532)))&((((X533)!=(X531))|(in @ X533 @ (setadjoin @ X531 @ X532)))&(~(in @ X533 @ X532)|(in @ X533 @ (setadjoin @ X531 @ X532)))))&(((~(in @ X535 @ (powerset @ X534))|(~(in @ X536 @ X535)|(in @ X536 @ X534)))&(((in @ (esk2_2 @ X537 @ X538) @ X538)|(in @ X538 @ (powerset @ X537)))&(~(in @ (esk2_2 @ X537 @ X538) @ X537)|(in @ X538 @ (powerset @ X537)))))&(((((in @ X541 @ (esk3_2 @ X540 @ X541))|~(in @ X541 @ (setunion @ X540)))&((in @ (esk3_2 @ X540 @ X541) @ X540)|~(in @ X541 @ (setunion @ X540))))&(~(in @ X544 @ X545)|~(in @ X545 @ X543)|(in @ X544 @ (setunion @ X543))))&((in @ emptyset @ omega)&((~(in @ X546 @ omega)|(in @ (setadjoin @ X546 @ X546) @ omega))&(((((in @ (esk4_1 @ X547) @ omega)|~(in @ emptyset @ X547)|(~(in @ X549 @ omega)|(in @ X549 @ X547)))&((in @ (esk4_1 @ X547) @ X547)|~(in @ emptyset @ X547)|(~(in @ X549 @ omega)|(in @ X549 @ X547))))&(~(in @ (setadjoin @ (esk4_1 @ X547) @ (esk4_1 @ X547)) @ X547)|~(in @ emptyset @ X547)|(~(in @ X549 @ omega)|(in @ X549 @ X547))))&((((((in @ (esk8_3 @ X550 @ X551 @ X556) @ X551)|~(in @ X556 @ (esk7_2 @ X550 @ X551))|(in @ (esk5_2 @ X550 @ X551) @ X551))&((X550 @ (esk8_3 @ X550 @ X551 @ X556) @ X556)|~(in @ X556 @ (esk7_2 @ X550 @ X551))|(in @ (esk5_2 @ X550 @ X551) @ X551)))&(~(in @ X559 @ X551)|~(X550 @ X559 @ X558)|(in @ X558 @ (esk7_2 @ X550 @ X551))|(in @ (esk5_2 @ X550 @ X551) @ X551)))&(((((in @ (esk8_3 @ X550 @ X551 @ X556) @ X551)|~(in @ X556 @ (esk7_2 @ X550 @ X551))|((X550 @ (esk5_2 @ X550 @ X551) @ (esk6_3 @ X550 @ X551 @ X553))|~(X550 @ (esk5_2 @ X550 @ X551) @ X553)))&((X550 @ (esk8_3 @ X550 @ X551 @ X556) @ X556)|~(in @ X556 @ (esk7_2 @ X550 @ X551))|((X550 @ (esk5_2 @ X550 @ X551) @ (esk6_3 @ X550 @ X551 @ X553))|~(X550 @ (esk5_2 @ X550 @ X551) @ X553))))&(~(in 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(^[Z0/* 3 */:$i]:((X746 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X747 @ Z0)))))|(((X750)!=(esk48_3 @ X746 @ X747 @ X750))|~(X746 @ X750))|(~(X746 @ (esk46_2 @ X746 @ X747))|~(X747 @ (esk47_2 @ X746 @ X747))))&(((X752)!=(esk49_3 @ X746 @ X747 @ X752))|~(X747 @ X752)|((descr @ (^[Z0/* 3 */:$i]:((X746 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X747 @ Z0)))))|(((X750)!=(esk48_3 @ X746 @ X747 @ X750))|~(X746 @ X750))|(~(X746 @ (esk46_2 @ X746 @ X747))|~(X747 @ (esk47_2 @ X746 @ X747))))))&((((X747 @ (esk49_3 @ X746 @ X747 @ X752))|~(X747 @ X752)|((descr @ (^[Z0/* 3 */:$i]:((X746 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X747 @ Z0)))))|((X746 @ (esk48_3 @ X746 @ X747 @ X750))|~(X746 @ X750))|((X746 @ (esk46_2 @ X746 @ X747))|(X747 @ (esk47_2 @ X746 @ X747))))&(((X752)!=(esk49_3 @ X746 @ X747 @ X752))|~(X747 @ X752)|((descr @ (^[Z0/* 3 */:$i]:((X746 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X747 @ Z0)))))|((X746 @ (esk48_3 @ X746 @ X747 @ X750))|~(X746 @ X750))|((X746 @ (esk46_2 @ X746 @ X747))|(X747 @ (esk47_2 @ X746 @ X747)))))&(((X747 @ (esk49_3 @ X746 @ X747 @ X752))|~(X747 @ X752)|((descr @ (^[Z0/* 3 */:$i]:((X746 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X747 @ Z0)))))|(((X750)!=(esk48_3 @ X746 @ X747 @ X750))|~(X746 @ X750))|((X746 @ (esk46_2 @ X746 @ X747))|(X747 @ (esk47_2 @ X746 @ X747))))&(((X752)!=(esk49_3 @ X746 @ X747 @ X752))|~(X747 @ X752)|((descr @ (^[Z0/* 3 */:$i]:((X746 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X747 @ Z0)))))|(((X750)!=(esk48_3 @ X746 @ X747 @ X750))|~(X746 @ X750))|((X746 @ (esk46_2 @ X746 @ X747))|(X747 @ (esk47_2 @ X746 @ X747))))))))&((((in @ (esk50_4 @ X754 @ X755 @ X756 @ X757) @ X754)|((dsetconstr @ X754 @ (^[Z0/* 3 */:$i]:((X756 @ Z0))))=(dsetconstr @ X755 @ (^[Z0/* 3 */:$i]:((X757 @ Z0)))))|((X754)!=(X755)))&(((in @ (esk51_4 @ X754 @ X755 @ X756 @ X757) @ X755)|((dsetconstr @ X754 @ (^[Z0/* 3 */:$i]:((X756 @ Z0))))=(dsetconstr @ X755 @ (^[Z0/* 3 */:$i]:((X757 @ Z0)))))|((X754)!=(X755)))&((((esk50_4 @ X754 @ X755 @ X756 @ X757)=(esk51_4 @ X754 @ X755 @ X756 @ X757))|((dsetconstr @ X754 @ (^[Z0/* 3 */:$i]:((X756 @ Z0))))=(dsetconstr @ X755 @ (^[Z0/* 3 */:$i]:((X757 @ Z0)))))|((X754)!=(X755)))&((~(X756 @ (esk50_4 @ X754 @ X755 @ X756 @ X757))|~(X757 @ (esk51_4 @ X754 @ X755 @ X756 @ X757))|((dsetconstr @ X754 @ (^[Z0/* 3 */:$i]:((X756 @ Z0))))=(dsetconstr @ X755 @ (^[Z0/* 3 */:$i]:((X757 @ Z0)))))|((X754)!=(X755)))&((X756 @ (esk50_4 @ X754 @ X755 @ X756 @ X757))|(X757 @ (esk51_4 @ X754 @ X755 @ X756 @ X757))|((dsetconstr @ X754 @ (^[Z0/* 3 */:$i]:((X756 @ Z0))))=(dsetconstr @ X755 @ (^[Z0/* 3 */:$i]:((X757 @ Z0)))))|((X754)!=(X755)))))))&((((in @ (esk52_2 @ X760 @ X761) @ X760)|(~(in @ X763 @ X760)|(in @ X763 @ X761)))&(~(in @ (esk52_2 @ X760 @ X761) @ X761)|(~(in @ X763 @ X760)|(in @ X763 @ X761))))&((((X764)!=(X765))|(~(in @ X766 @ X765)|(in @ X766 @ X764)))&((((X767)!=(X768))|(~(in @ X769 @ X767)|(in @ X769 @ X768)))&((((in @ (esk53_2 @ X770 @ X771) @ X770)|(~(in @ X773 @ X770)|(in @ X773 @ X771)))&(~(in @ (esk53_2 @ X770 @ X771) @ X771)|(~(in @ X773 @ X770)|(in @ X773 @ X771))))&((in @ esk55_0 @ emptyset)&~(in @ esk55_0 @ esk54_0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_126])])])])])])).
0.31/240.05	thf(c_0_128, negated_conjecture, (in @ esk55_0 @ emptyset), inference(split_conjunct,[status(thm)],[c_0_127])).
0.31/240.05	thf(c_0_129, negated_conjecture, ![X2:$i]:(~((in @ X2 @ emptyset))), inference(split_conjunct,[status(thm)],[c_0_127])).
0.31/240.05	thf(c_0_130, negated_conjecture, ($false), inference(sr,[status(thm)],[c_0_128, c_0_129]), ['proof']).
0.31/240.05	# SZS output end CNFRefutation
0.31/240.05	# Parsed axioms                        : 177
0.31/240.05	# Removed by relevancy pruning/SinE    : 95
0.31/240.05	# Initial clauses                      : 190
0.31/240.05	# Removed in clause preprocessing      : 14
0.31/240.05	# Initial clauses in saturation        : 176
0.31/240.05	# Processed clauses                    : 8
0.31/240.05	# ...of these trivial                  : 0
0.31/240.05	# ...subsumed                          : 0
0.31/240.05	# ...remaining for further processing  : 8
0.31/240.05	# Other redundant clauses eliminated   : 0
0.31/240.05	# Clauses deleted for lack of memory   : 0
0.31/240.05	# Backward-subsumed                    : 0
0.31/240.05	# Backward-rewritten                   : 0
0.31/240.05	# Generated clauses                    : 1
0.31/240.05	# ...of the previous two non-redundant : 0
0.31/240.05	# ...aggressively subsumed             : 0
0.31/240.05	# Contextual simplify-reflections      : 0
0.31/240.05	# Paramodulations                      : 0
0.31/240.05	# Factorizations                       : 0
0.31/240.05	# NegExts                              : 0
0.31/240.05	# Equation resolutions                 : 0
0.31/240.05	# Disequality decompositions           : 0
0.31/240.05	# Total rewrite steps                  : 0
0.31/240.05	# ...of those cached                   : 0
0.31/240.05	# Propositional unsat checks           : 0
0.31/240.05	#    Propositional check models        : 0
0.31/240.05	#    Propositional check unsatisfiable : 0
0.31/240.05	#    Propositional clauses             : 0
0.31/240.05	#    Propositional clauses after purity: 0
0.31/240.05	#    Propositional unsat core size     : 0
0.31/240.05	#    Propositional preprocessing time  : 0.000
0.31/240.05	#    Propositional encoding time       : 0.000
0.31/240.05	#    Propositional solver time         : 0.000
0.31/240.05	#    Success case prop preproc time    : 0.000
0.31/240.05	#    Success case prop encoding time   : 0.000
0.31/240.05	#    Success case prop solver time     : 0.000
0.31/240.05	# Current number of processed clauses  : 7
0.31/240.05	#    Positive orientable unit clauses  : 5
0.31/240.05	#    Positive unorientable unit clauses: 0
0.31/240.05	#    Negative unit clauses             : 2
0.31/240.05	#    Non-unit-clauses                  : 0
0.31/240.05	# Current number of unprocessed clauses: 168
0.31/240.05	# ...number of literals in the above   : 618
0.31/240.05	# Current number of archived formulas  : 0
0.31/240.05	# Current number of archived clauses   : 1
0.31/240.05	# Clause-clause subsumption calls (NU) : 0
0.31/240.05	# Rec. Clause-clause subsumption calls : 0
0.31/240.05	# Non-unit clause-clause subsumptions  : 0
0.31/240.05	# Unit Clause-clause subsumption calls : 0
0.31/240.05	# Rewrite failures with RHS unbound    : 0
0.31/240.05	# BW rewrite match attempts            : 0
0.31/240.05	# BW rewrite match successes           : 0
0.31/240.05	# Condensation attempts                : 8
0.31/240.05	# Condensation successes               : 0
0.31/240.05	# Termbank termtop insertions          : 21988
0.31/240.05	# Search garbage collected termcells   : 7950
0.31/240.05	
0.31/240.05	# -------------------------------------------------
0.31/240.05	# User time                : 0.021 s
0.31/240.05	# System time              : 0.006 s
0.31/240.05	# Total time               : 0.026 s
0.31/240.05	# Maximum resident set size: 4364 pages
0.31/240.05	
0.31/240.05	# -------------------------------------------------
0.31/240.05	# User time                : 0.025 s
0.31/240.05	# System time              : 0.007 s
0.31/240.05	# Total time               : 0.033 s
0.31/240.05	# Maximum resident set size: 1920 pages
0.31/240.05	% E exiting
0.31/240.05	% E exiting
0.31/240.05	EOF
